0.12/0.12 % Problem : theBenchmark.p : TPTP v0.0.0. Released v0.0.0. 0.12/0.14 % Command : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.xBcONblOev true 0.14/0.35 % Computer : n023.cluster.edu 0.14/0.35 % Model : x86_64 x86_64 0.14/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz 0.14/0.35 % Memory : 8042.1875MB 0.14/0.35 % OS : Linux 3.10.0-693.el7.x86_64 0.14/0.35 % CPULimit : 960 0.14/0.35 % WCLimit : 120 0.14/0.35 % DateTime : Tue Aug 9 07:00:13 EDT 2022 0.14/0.36 % CPUTime : 0.14/0.36 % Running portfolio for 960 s 0.14/0.36 % File : /export/starexec/sandbox2/benchmark/theBenchmark.p 0.14/0.36 % Number of cores: 8 0.14/0.36 % Python version: Python 3.6.8 0.14/0.36 % Running in HO mode 0.57/0.71 % Total configuration time : 828 0.57/0.71 % Estimated wc time : 1656 0.57/0.71 % Estimated cpu time (8 cpus) : 207.0 0.57/0.80 % /export/starexec/sandbox2/solver/bin/lams/35_full_unif4.sh running for 80s 0.57/0.80 % /export/starexec/sandbox2/solver/bin/lams/40_c_ic.sh running for 80s 0.57/0.80 % /export/starexec/sandbox2/solver/bin/lams/40_c.s.sh running for 80s 0.57/0.80 % /export/starexec/sandbox2/solver/bin/lams/15_e_short1.sh running for 30s 0.57/0.81 % /export/starexec/sandbox2/solver/bin/lams/40_noforms.sh running for 90s 0.57/0.81 % /export/starexec/sandbox2/solver/bin/lams/30_sp5.sh running for 60s 0.57/0.81 % /export/starexec/sandbox2/solver/bin/lams/20_acsne_simpl.sh running for 40s 0.57/0.81 % /export/starexec/sandbox2/solver/bin/lams/40_b.comb.sh running for 70s 4.78/1.26 % /export/starexec/sandbox2/solver/bin/lams/30_b.l.sh running for 90s 132.87/17.45 % Solved by lams/30_b.l.sh. 132.87/17.45 % running E: timeout 14 /export/starexec/sandbox2/solver/bin/lams/eprover-ho --pos-ext=all --neg-ext=all /export/starexec/sandbox2/tmp/tmp.xBcONblOev/e_input418f88 --cpu-limit=12 --auto -s -p 132.87/17.45 % done 164 iterations in 15.973s 132.87/17.45 % SZS status Theorem for '/export/starexec/sandbox2/benchmark/theBenchmark.p' 132.87/17.45 % SZS output start Refutation 132.87/17.45 thf(mworld_type, type, mworld: $tType). 132.87/17.45 thf(mlocal_type, type, mlocal: (mworld > $o) > $o). 132.87/17.45 thf(op_type, type, op: $i > $i > $i). 132.87/17.45 thf(mor_type, type, mor: (mworld > $o) > (mworld > $o) > mworld > $o). 132.87/17.45 thf(inv_type, type, inv: $i > $i). 132.87/17.45 thf(qmltpeq_type, type, qmltpeq: $i > $i > mworld > $o). 132.87/17.45 thf(mforall_di_type, type, mforall_di: ($i > mworld > $o) > mworld > $o). 132.87/17.45 thf('#form2_type', type, '#form2': mworld > $i > $i > $o). 132.87/17.45 thf(mrel_type, type, mrel: mworld > mworld > $o). 132.87/17.45 thf(mnot_type, type, mnot: (mworld > $o) > mworld > $o). 132.87/17.45 thf(mimplies_type, type, mimplies: (mworld > $o) > (mworld > $o) > mworld > $o). 132.87/17.45 thf(mand_type, type, mand: (mworld > $o) > (mworld > $o) > mworld > $o). 132.87/17.45 thf('#sk3_type', type, '#sk3': mworld). 132.87/17.45 thf(e3_type, type, e3: $i). 132.87/17.45 thf(mactual_type, type, mactual: mworld). 132.87/17.45 thf(e1_type, type, e1: $i). 132.87/17.45 thf('#sk1_type', type, '#sk1': mworld > $i > $i > mworld). 132.87/17.45 thf(e2_type, type, e2: $i). 132.87/17.45 thf('#form4_type', type, '#form4': $o). 132.87/17.45 thf(mbox_type, type, mbox: (mworld > $o) > mworld > $o). 132.87/17.45 thf(e0_type, type, e0: $i). 132.87/17.45 thf(co1, conjecture, 132.87/17.45 (mlocal @ 132.87/17.45 ( mbox @ 132.87/17.45 ( mnot @ 132.87/17.45 ( mand @ 132.87/17.45 ( mor @ 132.87/17.45 ( mand @ 132.87/17.45 ( mbox @ ( qmltpeq @ ( op @ e0 @ e0 ) @ e0 ) ) @ 132.87/17.45 ( mand @ 132.87/17.45 ( mbox @ ( qmltpeq @ ( op @ e1 @ e1 ) @ e0 ) ) @ 132.87/17.45 ( mand @ 132.87/17.45 ( mbox @ ( qmltpeq @ ( op @ e2 @ e2 ) @ e0 ) ) @ 132.87/17.45 ( mbox @ ( qmltpeq @ ( op @ e3 @ e3 ) @ e0 ) ) ) ) ) @ 132.87/17.45 ( mor @ 132.87/17.45 ( mand @ 132.87/17.45 ( mbox @ ( qmltpeq @ ( op @ e0 @ e0 ) @ e1 ) ) @ 132.87/17.45 ( mand @ 132.87/17.45 ( mbox @ ( qmltpeq @ ( op @ e1 @ e1 ) @ e1 ) ) @ 132.87/17.45 ( mand @ 132.87/17.45 ( mbox @ ( qmltpeq @ ( op @ e2 @ e2 ) @ e1 ) ) @ 132.87/17.45 ( mbox @ ( qmltpeq @ ( op @ e3 @ e3 ) @ e1 ) ) ) ) ) @ 132.87/17.45 ( mor @ 132.87/17.45 ( mand @ 132.87/17.45 ( mbox @ ( qmltpeq @ ( op @ e0 @ e0 ) @ e2 ) ) @ 132.87/17.45 ( mand @ 132.87/17.45 ( mbox @ ( qmltpeq @ ( op @ e1 @ e1 ) @ e2 ) ) @ 132.87/17.45 ( mand @ 132.87/17.45 ( mbox @ ( qmltpeq @ ( op @ e2 @ e2 ) @ e2 ) ) @ 132.87/17.45 ( mbox @ ( qmltpeq @ ( op @ e3 @ e3 ) @ e2 ) ) ) ) ) @ 132.87/17.45 ( mand @ 132.87/17.45 ( mbox @ ( qmltpeq @ ( op @ e0 @ e0 ) @ e3 ) ) @ 132.87/17.45 ( mand @ 132.87/17.45 ( mbox @ ( qmltpeq @ ( op @ e1 @ e1 ) @ e3 ) ) @ 132.87/17.45 ( mand @ 132.87/17.45 ( mbox @ ( qmltpeq @ ( op @ e2 @ e2 ) @ e3 ) ) @ 132.87/17.45 ( mbox @ ( qmltpeq @ ( op @ e3 @ e3 ) @ e3 ) ) ) ) ) ) ) ) @ 132.87/17.45 ( mbox @ 132.87/17.45 ( mnot @ 132.87/17.45 ( mor @ 132.87/17.45 ( mand @ 132.87/17.45 ( mbox @ ( qmltpeq @ ( op @ e0 @ e0 ) @ e0 ) ) @ 132.87/17.45 ( mand @ 132.87/17.45 ( mbox @ ( qmltpeq @ ( op @ e1 @ e1 ) @ e0 ) ) @ 132.87/17.45 ( mand @ 132.87/17.45 ( mbox @ ( qmltpeq @ ( op @ e2 @ e2 ) @ e0 ) ) @ 132.87/17.45 ( mbox @ ( qmltpeq @ ( op @ e3 @ e3 ) @ e0 ) ) ) ) ) @ 132.87/17.45 ( mor @ 132.87/17.45 ( mand @ 132.87/17.45 ( mbox @ ( qmltpeq @ ( op @ e0 @ e0 ) @ e1 ) ) @ 132.87/17.45 ( mand @ 132.87/17.45 ( mbox @ ( qmltpeq @ ( op @ e1 @ e1 ) @ e1 ) ) @ 132.87/17.45 ( mand @ 132.87/17.45 ( mbox @ ( qmltpeq @ ( op @ e2 @ e2 ) @ e1 ) ) @ 132.87/17.45 ( mbox @ ( qmltpeq @ ( op @ e3 @ e3 ) @ e1 ) ) ) ) ) @ 132.87/17.45 ( mor @ 132.87/17.45 ( mand @ 132.87/17.45 ( mbox @ ( qmltpeq @ ( op @ e0 @ e0 ) @ e2 ) ) @ 132.87/17.45 ( mand @ 132.87/17.45 ( mbox @ ( qmltpeq @ ( op @ e1 @ e1 ) @ e2 ) ) @ 132.87/17.45 ( mand @ 132.87/17.45 ( mbox @ ( qmltpeq @ ( op @ e2 @ e2 ) @ e2 ) ) @ 132.87/17.45 ( mbox @ ( qmltpeq @ ( op @ e3 @ e3 ) @ e2 ) ) ) ) ) @ 132.87/17.45 ( mand @ 132.87/17.45 ( mbox @ ( qmltpeq @ ( op @ e0 @ e0 ) @ e3 ) ) @ 132.87/17.45 ( mand @ 132.87/17.45 ( mbox @ ( qmltpeq @ ( op @ e1 @ e1 ) @ e3 ) ) @ 132.87/17.45 ( mand @ 132.87/17.45 ( mbox @ ( qmltpeq @ ( op @ e2 @ e2 ) @ e3 ) ) @ 132.87/17.45 ( mbox @ ( qmltpeq @ ( op @ e3 @ e3 ) @ e3 ) ) ) ) ) ) ) ) ) ) ) ) ))). 132.87/17.45 thf(zf_stmt_0, negated_conjecture, 132.87/17.45 (~( mlocal @ 132.87/17.45 ( mbox @ 132.87/17.45 ( mnot @ 132.87/17.45 ( mand @ 132.87/17.45 ( mor @ 132.87/17.45 ( mand @ 132.87/17.45 ( mbox @ ( qmltpeq @ ( op @ e0 @ e0 ) @ e0 ) ) @ 132.87/17.45 ( mand @ 132.87/17.45 ( mbox @ ( qmltpeq @ ( op @ e1 @ e1 ) @ e0 ) ) @ 132.87/17.45 ( mand @ 132.87/17.45 ( mbox @ ( qmltpeq @ ( op @ e2 @ e2 ) @ e0 ) ) @ 132.87/17.45 ( mbox @ ( qmltpeq @ ( op @ e3 @ e3 ) @ e0 ) ) ) ) ) @ 132.87/17.45 ( mor @ 132.87/17.45 ( mand @ 132.87/17.45 ( mbox @ ( qmltpeq @ ( op @ e0 @ e0 ) @ e1 ) ) @ 132.87/17.45 ( mand @ 132.87/17.45 ( mbox @ ( qmltpeq @ ( op @ e1 @ e1 ) @ e1 ) ) @ 132.87/17.45 ( mand @ 132.87/17.45 ( mbox @ ( qmltpeq @ ( op @ e2 @ e2 ) @ e1 ) ) @ 132.87/17.45 ( mbox @ ( qmltpeq @ ( op @ e3 @ e3 ) @ e1 ) ) ) ) ) @ 132.87/17.45 ( mor @ 132.87/17.45 ( mand @ 132.87/17.45 ( mbox @ ( qmltpeq @ ( op @ e0 @ e0 ) @ e2 ) ) @ 132.87/17.45 ( mand @ 132.87/17.45 ( mbox @ ( qmltpeq @ ( op @ e1 @ e1 ) @ e2 ) ) @ 132.87/17.45 ( mand @ 132.87/17.45 ( mbox @ ( qmltpeq @ ( op @ e2 @ e2 ) @ e2 ) ) @ 132.87/17.45 ( mbox @ ( qmltpeq @ ( op @ e3 @ e3 ) @ e2 ) ) ) ) ) @ 132.87/17.45 ( mand @ 132.87/17.45 ( mbox @ ( qmltpeq @ ( op @ e0 @ e0 ) @ e3 ) ) @ 132.87/17.45 ( mand @ 132.87/17.45 ( mbox @ ( qmltpeq @ ( op @ e1 @ e1 ) @ e3 ) ) @ 132.87/17.45 ( mand @ 132.87/17.45 ( mbox @ ( qmltpeq @ ( op @ e2 @ e2 ) @ e3 ) ) @ 132.87/17.45 ( mbox @ ( qmltpeq @ ( op @ e3 @ e3 ) @ e3 ) ) ) ) ) ) ) ) @ 132.87/17.45 ( mbox @ 132.87/17.45 ( mnot @ 132.87/17.45 ( mor @ 132.87/17.45 ( mand @ 132.87/17.45 ( mbox @ ( qmltpeq @ ( op @ e0 @ e0 ) @ e0 ) ) @ 132.87/17.45 ( mand @ 132.87/17.45 ( mbox @ ( qmltpeq @ ( op @ e1 @ e1 ) @ e0 ) ) @ 132.87/17.45 ( mand @ 132.87/17.45 ( mbox @ ( qmltpeq @ ( op @ e2 @ e2 ) @ e0 ) ) @ 132.87/17.45 ( mbox @ ( qmltpeq @ ( op @ e3 @ e3 ) @ e0 ) ) ) ) ) @ 132.87/17.45 ( mor @ 132.87/17.45 ( mand @ 132.87/17.45 ( mbox @ ( qmltpeq @ ( op @ e0 @ e0 ) @ e1 ) ) @ 132.87/17.45 ( mand @ 132.87/17.45 ( mbox @ ( qmltpeq @ ( op @ e1 @ e1 ) @ e1 ) ) @ 132.87/17.45 ( mand @ 132.87/17.45 ( mbox @ ( qmltpeq @ ( op @ e2 @ e2 ) @ e1 ) ) @ 132.87/17.45 ( mbox @ ( qmltpeq @ ( op @ e3 @ e3 ) @ e1 ) ) ) ) ) @ 132.87/17.45 ( mor @ 132.87/17.45 ( mand @ 132.87/17.45 ( mbox @ ( qmltpeq @ ( op @ e0 @ e0 ) @ e2 ) ) @ 132.87/17.45 ( mand @ 132.87/17.45 ( mbox @ ( qmltpeq @ ( op @ e1 @ e1 ) @ e2 ) ) @ 132.87/17.45 ( mand @ 132.87/17.45 ( mbox @ ( qmltpeq @ ( op @ e2 @ e2 ) @ e2 ) ) @ 132.87/17.45 ( mbox @ ( qmltpeq @ ( op @ e3 @ e3 ) @ e2 ) ) ) ) ) @ 132.87/17.45 ( mand @ 132.87/17.45 ( mbox @ ( qmltpeq @ ( op @ e0 @ e0 ) @ e3 ) ) @ 132.87/17.45 ( mand @ 132.87/17.45 ( mbox @ ( qmltpeq @ ( op @ e1 @ e1 ) @ e3 ) ) @ 132.87/17.45 ( mand @ 132.87/17.45 ( mbox @ ( qmltpeq @ ( op @ e2 @ e2 ) @ e3 ) ) @ 132.87/17.45 ( mbox @ ( qmltpeq @ ( op @ e3 @ e3 ) @ e3 ) ) ) ) ) ) ) ) ) ) ) ) ) )), 132.87/17.45 inference('cnf.neg', [status(esa)], [co1])). 132.87/17.45 thf(zip_derived_cl15, plain, 132.87/17.45 (~ (mlocal @ 132.87/17.45 (mbox @ 132.87/17.45 (mnot @ 132.87/17.45 (mand @ 132.87/17.45 (mor @ 132.87/17.45 (mand @ (mbox @ (qmltpeq @ (op @ e0 @ e0) @ e0)) @ 132.87/17.45 (mand @ (mbox @ (qmltpeq @ (op @ e1 @ e1) @ e0)) @ 132.87/17.45 (mand @ (mbox @ (qmltpeq @ (op @ e2 @ e2) @ e0)) @ 132.87/17.45 (mbox @ (qmltpeq @ (op @ e3 @ e3) @ e0))))) @ 132.87/17.45 (mor @ 132.87/17.45 (mand @ (mbox @ (qmltpeq @ (op @ e0 @ e0) @ e1)) @ 132.87/17.45 (mand @ (mbox @ (qmltpeq @ (op @ e1 @ e1) @ e1)) @ 132.87/17.45 (mand @ (mbox @ (qmltpeq @ (op @ e2 @ e2) @ e1)) @ 132.87/17.45 (mbox @ (qmltpeq @ (op @ e3 @ e3) @ e1))))) @ 132.87/17.45 (mor @ 132.87/17.45 (mand @ (mbox @ (qmltpeq @ (op @ e0 @ e0) @ e2)) @ 132.87/17.45 (mand @ (mbox @ (qmltpeq @ (op @ e1 @ e1) @ e2)) @ 132.87/17.45 (mand @ (mbox @ (qmltpeq @ (op @ e2 @ e2) @ e2)) @ 132.87/17.45 (mbox @ (qmltpeq @ (op @ e3 @ e3) @ e2))))) @ 132.87/17.45 (mand @ (mbox @ (qmltpeq @ (op @ e0 @ e0) @ e3)) @ 132.87/17.45 (mand @ (mbox @ (qmltpeq @ (op @ e1 @ e1) @ e3)) @ 132.87/17.45 (mand @ (mbox @ (qmltpeq @ (op @ e2 @ e2) @ e3)) @ 132.87/17.45 (mbox @ (qmltpeq @ (op @ e3 @ e3) @ e3)))))))) @ 132.87/17.45 (mbox @ 132.87/17.45 (mnot @ 132.87/17.45 (mor @ 132.87/17.45 (mand @ (mbox @ (qmltpeq @ (op @ e0 @ e0) @ e0)) @ 132.87/17.45 (mand @ (mbox @ (qmltpeq @ (op @ e1 @ e1) @ e0)) @ 132.87/17.45 (mand @ (mbox @ (qmltpeq @ (op @ e2 @ e2) @ e0)) @ 132.87/17.45 (mbox @ (qmltpeq @ (op @ e3 @ e3) @ e0))))) @ 132.87/17.45 (mor @ 132.87/17.45 (mand @ (mbox @ (qmltpeq @ (op @ e0 @ e0) @ e1)) @ 132.87/17.45 (mand @ (mbox @ (qmltpeq @ (op @ e1 @ e1) @ e1)) @ 132.87/17.45 (mand @ (mbox @ (qmltpeq @ (op @ e2 @ e2) @ e1)) @ 132.87/17.45 (mbox @ (qmltpeq @ (op @ e3 @ e3) @ e1))))) @ 132.87/17.45 (mor @ 132.87/17.45 (mand @ (mbox @ (qmltpeq @ (op @ e0 @ e0) @ e2)) @ 132.87/17.45 (mand @ (mbox @ (qmltpeq @ (op @ e1 @ e1) @ e2)) @ 132.87/17.45 (mand @ (mbox @ (qmltpeq @ (op @ e2 @ e2) @ e2)) @ 132.87/17.45 (mbox @ (qmltpeq @ (op @ e3 @ e3) @ e2))))) @ 132.87/17.45 (mand @ (mbox @ (qmltpeq @ (op @ e0 @ e0) @ e3)) @ 132.87/17.45 (mand @ (mbox @ (qmltpeq @ (op @ e1 @ e1) @ e3)) @ 132.87/17.45 (mand @ (mbox @ (qmltpeq @ (op @ e2 @ e2) @ e3)) @ 132.87/17.45 (mbox @ (qmltpeq @ (op @ e3 @ e3) @ e3))))))))))))))), 132.87/17.45 inference('cnf', [status(esa)], [zf_stmt_0])). 132.87/17.45 thf(mlocal_def, axiom,(( mlocal @ (X0)) = ((X0 @ mactual)))). 132.87/17.45 thf('0', plain, 132.87/17.45 (![X0:( mworld > $o )]: ( ( mlocal @ X0 ) = ( X0 @ mactual ) )), 132.87/17.45 define([status(thm)])). 132.87/17.45 thf(zip_derived_cl800, plain, 132.87/17.45 (~ (mbox @ 132.87/17.45 (mnot @ 132.87/17.45 (mand @ 132.87/17.45 (mor @ 132.87/17.45 (mand @ (mbox @ (qmltpeq @ (op @ e0 @ e0) @ e0)) @ 132.87/17.45 (mand @ (mbox @ (qmltpeq @ (op @ e1 @ e1) @ e0)) @ 132.87/17.45 (mand @ (mbox @ (qmltpeq @ (op @ e2 @ e2) @ e0)) @ 132.87/17.45 (mbox @ (qmltpeq @ (op @ e3 @ e3) @ e0))))) @ 132.87/17.45 (mor @ 132.87/17.45 (mand @ (mbox @ (qmltpeq @ (op @ e0 @ e0) @ e1)) @ 132.87/17.45 (mand @ (mbox @ (qmltpeq @ (op @ e1 @ e1) @ e1)) @ 132.87/17.45 (mand @ (mbox @ (qmltpeq @ (op @ e2 @ e2) @ e1)) @ 132.87/17.45 (mbox @ (qmltpeq @ (op @ e3 @ e3) @ e1))))) @ 132.87/17.45 (mor @ 132.87/17.45 (mand @ (mbox @ (qmltpeq @ (op @ e0 @ e0) @ e2)) @ 132.87/17.45 (mand @ (mbox @ (qmltpeq @ (op @ e1 @ e1) @ e2)) @ 132.87/17.45 (mand @ (mbox @ (qmltpeq @ (op @ e2 @ e2) @ e2)) @ 132.87/17.45 (mbox @ (qmltpeq @ (op @ e3 @ e3) @ e2))))) @ 132.87/17.45 (mand @ (mbox @ (qmltpeq @ (op @ e0 @ e0) @ e3)) @ 132.87/17.45 (mand @ (mbox @ (qmltpeq @ (op @ e1 @ e1) @ e3)) @ 132.87/17.45 (mand @ (mbox @ (qmltpeq @ (op @ e2 @ e2) @ e3)) @ 132.87/17.45 (mbox @ (qmltpeq @ (op @ e3 @ e3) @ e3)))))))) @ 132.87/17.45 (mbox @ 132.87/17.45 (mnot @ 132.87/17.45 (mor @ 132.87/17.45 (mand @ (mbox @ (qmltpeq @ (op @ e0 @ e0) @ e0)) @ 132.87/17.45 (mand @ (mbox @ (qmltpeq @ (op @ e1 @ e1) @ e0)) @ 132.87/17.45 (mand @ (mbox @ (qmltpeq @ (op @ e2 @ e2) @ e0)) @ 132.87/17.45 (mbox @ (qmltpeq @ (op @ e3 @ e3) @ e0))))) @ 132.87/17.45 (mor @ 132.87/17.45 (mand @ (mbox @ (qmltpeq @ (op @ e0 @ e0) @ e1)) @ 132.87/17.45 (mand @ (mbox @ (qmltpeq @ (op @ e1 @ e1) @ e1)) @ 132.87/17.45 (mand @ (mbox @ (qmltpeq @ (op @ e2 @ e2) @ e1)) @ 132.87/17.45 (mbox @ (qmltpeq @ (op @ e3 @ e3) @ e1))))) @ 132.87/17.45 (mor @ 132.87/17.45 (mand @ (mbox @ (qmltpeq @ (op @ e0 @ e0) @ e2)) @ 132.87/17.45 (mand @ (mbox @ (qmltpeq @ (op @ e1 @ e1) @ e2)) @ 132.87/17.45 (mand @ (mbox @ (qmltpeq @ (op @ e2 @ e2) @ e2)) @ 132.87/17.45 (mbox @ (qmltpeq @ (op @ e3 @ e3) @ e2))))) @ 132.87/17.45 (mand @ (mbox @ (qmltpeq @ (op @ e0 @ e0) @ e3)) @ 132.87/17.45 (mand @ (mbox @ (qmltpeq @ (op @ e1 @ e1) @ e3)) @ 132.87/17.45 (mand @ (mbox @ (qmltpeq @ (op @ e2 @ e2) @ e3)) @ 132.87/17.45 (mbox @ (qmltpeq @ (op @ e3 @ e3) @ e3)))))))))))) @ 132.87/17.45 mactual)), 132.87/17.45 inference('rw', [status(thm)], [zip_derived_cl15, '0'])). 132.87/17.45 thf(mbox_def, axiom, ~ (mbox @ X0 @ X1) => 132.87/17.45 ((((!!) @ (^[Y0 : mworld]: (((mrel @ X1 @ Y0) => (X0 @ Y0)))))) != ($true))). 132.87/17.45 thf('1', plain, 132.87/17.45 (![X0:( mworld > $o ),X1:mworld]: 132.87/17.45 ( ( ~( mbox @ X0 @ X1 ) ) <=> 132.87/17.45 ( ~( ![X6:mworld]: ( ( mrel @ X1 @ X6 ) => ( X0 @ X6 ) ) ) ) )), 132.87/17.45 inference('rw.lit', [status(esa)], [mbox_def])). 132.87/17.45 thf(zip_derived_cl801, plain, 132.87/17.45 (~ (((!!) @ (^[Y0 : mworld]: 132.87/17.45 (((mrel @ mactual @ Y0) => (mnot @ 132.87/17.45 (mand @ 132.87/17.45 (mor @ 132.87/17.45 (mand @ (mbox @ (qmltpeq @ (op @ e0 @ e0) @ e0)) @ 132.87/17.45 (mand @ (mbox @ (qmltpeq @ (op @ e1 @ e1) @ e0)) @ 132.87/17.45 (mand @ (mbox @ (qmltpeq @ (op @ e2 @ e2) @ e0)) @ 132.87/17.45 (mbox @ (qmltpeq @ (op @ e3 @ e3) @ e0))))) @ 132.87/17.45 (mor @ 132.87/17.45 (mand @ (mbox @ (qmltpeq @ (op @ e0 @ e0) @ e1)) @ 132.87/17.45 (mand @ (mbox @ (qmltpeq @ (op @ e1 @ e1) @ e1)) @ 132.87/17.45 (mand @ (mbox @ (qmltpeq @ (op @ e2 @ e2) @ e1)) @ 132.87/17.45 (mbox @ (qmltpeq @ (op @ e3 @ e3) @ e1))))) @ 132.87/17.45 (mor @ 132.87/17.45 (mand @ (mbox @ (qmltpeq @ (op @ e0 @ e0) @ e2)) @ 132.87/17.45 (mand @ (mbox @ (qmltpeq @ (op @ e1 @ e1) @ e2)) @ 132.87/17.45 (mand @ 132.87/17.45 (mbox @ (qmltpeq @ (op @ e2 @ e2) @ e2)) @ 132.87/17.45 (mbox @ (qmltpeq @ (op @ e3 @ e3) @ e2))))) @ 132.87/17.45 (mand @ (mbox @ (qmltpeq @ (op @ e0 @ e0) @ e3)) @ 132.87/17.45 (mand @ (mbox @ (qmltpeq @ (op @ e1 @ e1) @ e3)) @ 132.87/17.45 (mand @ 132.87/17.45 (mbox @ (qmltpeq @ (op @ e2 @ e2) @ e3)) @ 132.87/17.45 (mbox @ (qmltpeq @ (op @ e3 @ e3) @ e3)))))))) @ 132.87/17.45 (mbox @ 132.87/17.45 (mnot @ 132.87/17.45 (mor @ 132.87/17.45 (mand @ (mbox @ (qmltpeq @ (op @ e0 @ e0) @ e0)) @ 132.87/17.45 (mand @ (mbox @ (qmltpeq @ (op @ e1 @ e1) @ e0)) @ 132.87/17.45 (mand @ 132.87/17.45 (mbox @ (qmltpeq @ (op @ e2 @ e2) @ e0)) @ 132.87/17.45 (mbox @ (qmltpeq @ (op @ e3 @ e3) @ e0))))) @ 132.87/17.45 (mor @ 132.87/17.45 (mand @ (mbox @ (qmltpeq @ (op @ e0 @ e0) @ e1)) @ 132.87/17.45 (mand @ 132.87/17.45 (mbox @ (qmltpeq @ (op @ e1 @ e1) @ e1)) @ 132.87/17.45 (mand @ 132.87/17.45 (mbox @ (qmltpeq @ (op @ e2 @ e2) @ e1)) @ 132.87/17.45 (mbox @ (qmltpeq @ (op @ e3 @ e3) @ e1))))) @ 132.87/17.45 (mor @ 132.87/17.45 (mand @ 132.87/17.45 (mbox @ (qmltpeq @ (op @ e0 @ e0) @ e2)) @ 132.87/17.45 (mand @ 132.87/17.45 (mbox @ (qmltpeq @ (op @ e1 @ e1) @ e2)) @ 132.87/17.45 (mand @ 132.87/17.45 (mbox @ (qmltpeq @ (op @ e2 @ e2) @ e2)) @ 132.87/17.45 (mbox @ (qmltpeq @ (op @ e3 @ e3) @ e2))))) @ 132.87/17.45 (mand @ 132.87/17.45 (mbox @ (qmltpeq @ (op @ e0 @ e0) @ e3)) @ 132.87/17.45 (mand @ 132.87/17.45 (mbox @ (qmltpeq @ (op @ e1 @ e1) @ e3)) @ 132.87/17.45 (mand @ 132.87/17.45 (mbox @ (qmltpeq @ (op @ e2 @ e2) @ e3)) @ 132.87/17.45 (mbox @ (qmltpeq @ (op @ e3 @ e3) @ e3))))))))))) @ 132.87/17.45 Y0))))))), 132.87/17.45 inference('rw_clause', [status(thm)], [zip_derived_cl800, '1'])). 132.87/17.45 thf(zip_derived_cl802, plain, 132.87/17.45 (~ (((mrel @ mactual @ '#sk3') => (mnot @ 132.87/17.45 (mand @ 132.87/17.45 (mor @ 132.87/17.45 (mand @ (mbox @ (qmltpeq @ (op @ e0 @ e0) @ e0)) @ 132.87/17.45 (mand @ (mbox @ (qmltpeq @ (op @ e1 @ e1) @ e0)) @ 132.87/17.45 (mand @ (mbox @ (qmltpeq @ (op @ e2 @ e2) @ e0)) @ 132.87/17.45 (mbox @ (qmltpeq @ (op @ e3 @ e3) @ e0))))) @ 132.87/17.45 (mor @ 132.87/17.45 (mand @ (mbox @ (qmltpeq @ (op @ e0 @ e0) @ e1)) @ 132.87/17.45 (mand @ (mbox @ (qmltpeq @ (op @ e1 @ e1) @ e1)) @ 132.87/17.45 (mand @ (mbox @ (qmltpeq @ (op @ e2 @ e2) @ e1)) @ 132.87/17.45 (mbox @ (qmltpeq @ (op @ e3 @ e3) @ e1))))) @ 132.87/17.45 (mor @ 132.87/17.45 (mand @ (mbox @ (qmltpeq @ (op @ e0 @ e0) @ e2)) @ 132.87/17.45 (mand @ (mbox @ (qmltpeq @ (op @ e1 @ e1) @ e2)) @ 132.87/17.45 (mand @ (mbox @ (qmltpeq @ (op @ e2 @ e2) @ e2)) @ 132.87/17.45 (mbox @ (qmltpeq @ (op @ e3 @ e3) @ e2))))) @ 132.87/17.45 (mand @ (mbox @ (qmltpeq @ (op @ e0 @ e0) @ e3)) @ 132.87/17.45 (mand @ (mbox @ (qmltpeq @ (op @ e1 @ e1) @ e3)) @ 132.87/17.45 (mand @ (mbox @ (qmltpeq @ (op @ e2 @ e2) @ e3)) @ 132.87/17.45 (mbox @ (qmltpeq @ (op @ e3 @ e3) @ e3)))))))) @ 132.87/17.45 (mbox @ 132.87/17.45 (mnot @ 132.87/17.45 (mor @ 132.87/17.45 (mand @ (mbox @ (qmltpeq @ (op @ e0 @ e0) @ e0)) @ 132.87/17.45 (mand @ (mbox @ (qmltpeq @ (op @ e1 @ e1) @ e0)) @ 132.87/17.45 (mand @ (mbox @ (qmltpeq @ (op @ e2 @ e2) @ e0)) @ 132.87/17.45 (mbox @ (qmltpeq @ (op @ e3 @ e3) @ e0))))) @ 132.87/17.45 (mor @ 132.87/17.45 (mand @ (mbox @ (qmltpeq @ (op @ e0 @ e0) @ e1)) @ 132.87/17.45 (mand @ (mbox @ (qmltpeq @ (op @ e1 @ e1) @ e1)) @ 132.87/17.45 (mand @ (mbox @ (qmltpeq @ (op @ e2 @ e2) @ e1)) @ 132.87/17.45 (mbox @ (qmltpeq @ (op @ e3 @ e3) @ e1))))) @ 132.87/17.45 (mor @ 132.87/17.45 (mand @ (mbox @ (qmltpeq @ (op @ e0 @ e0) @ e2)) @ 132.87/17.45 (mand @ (mbox @ (qmltpeq @ (op @ e1 @ e1) @ e2)) @ 132.87/17.45 (mand @ (mbox @ (qmltpeq @ (op @ e2 @ e2) @ e2)) @ 132.87/17.45 (mbox @ (qmltpeq @ (op @ e3 @ e3) @ e2))))) @ 132.87/17.45 (mand @ (mbox @ (qmltpeq @ (op @ e0 @ e0) @ e3)) @ 132.87/17.45 (mand @ (mbox @ (qmltpeq @ (op @ e1 @ e1) @ e3)) @ 132.87/17.45 (mand @ (mbox @ (qmltpeq @ (op @ e2 @ e2) @ e3)) @ 132.87/17.45 (mbox @ (qmltpeq @ (op @ e3 @ e3) @ e3))))))))))) @ 132.87/17.45 '#sk3')))), 132.87/17.45 inference('lazy_cnf_exists', [status(thm)], [zip_derived_cl801])). 132.87/17.45 thf(zip_derived_cl804, plain, 132.87/17.45 (~ (mnot @ 132.87/17.45 (mand @ 132.87/17.45 (mor @ 132.87/17.45 (mand @ (mbox @ (qmltpeq @ (op @ e0 @ e0) @ e0)) @ 132.87/17.45 (mand @ (mbox @ (qmltpeq @ (op @ e1 @ e1) @ e0)) @ 132.87/17.45 (mand @ (mbox @ (qmltpeq @ (op @ e2 @ e2) @ e0)) @ 132.87/17.45 (mbox @ (qmltpeq @ (op @ e3 @ e3) @ e0))))) @ 132.87/17.45 (mor @ 132.87/17.45 (mand @ (mbox @ (qmltpeq @ (op @ e0 @ e0) @ e1)) @ 132.87/17.45 (mand @ (mbox @ (qmltpeq @ (op @ e1 @ e1) @ e1)) @ 132.87/17.45 (mand @ (mbox @ (qmltpeq @ (op @ e2 @ e2) @ e1)) @ 132.87/17.45 (mbox @ (qmltpeq @ (op @ e3 @ e3) @ e1))))) @ 132.87/17.45 (mor @ 132.87/17.45 (mand @ (mbox @ (qmltpeq @ (op @ e0 @ e0) @ e2)) @ 132.87/17.45 (mand @ (mbox @ (qmltpeq @ (op @ e1 @ e1) @ e2)) @ 132.87/17.45 (mand @ (mbox @ (qmltpeq @ (op @ e2 @ e2) @ e2)) @ 132.87/17.45 (mbox @ (qmltpeq @ (op @ e3 @ e3) @ e2))))) @ 132.87/17.45 (mand @ (mbox @ (qmltpeq @ (op @ e0 @ e0) @ e3)) @ 132.87/17.45 (mand @ (mbox @ (qmltpeq @ (op @ e1 @ e1) @ e3)) @ 132.87/17.45 (mand @ (mbox @ (qmltpeq @ (op @ e2 @ e2) @ e3)) @ 132.87/17.45 (mbox @ (qmltpeq @ (op @ e3 @ e3) @ e3)))))))) @ 132.87/17.45 (mbox @ 132.87/17.45 (mnot @ 132.87/17.45 (mor @ 132.87/17.45 (mand @ (mbox @ (qmltpeq @ (op @ e0 @ e0) @ e0)) @ 132.87/17.45 (mand @ (mbox @ (qmltpeq @ (op @ e1 @ e1) @ e0)) @ 132.87/17.45 (mand @ (mbox @ (qmltpeq @ (op @ e2 @ e2) @ e0)) @ 132.87/17.45 (mbox @ (qmltpeq @ (op @ e3 @ e3) @ e0))))) @ 132.87/17.45 (mor @ 132.87/17.45 (mand @ (mbox @ (qmltpeq @ (op @ e0 @ e0) @ e1)) @ 132.87/17.45 (mand @ (mbox @ (qmltpeq @ (op @ e1 @ e1) @ e1)) @ 132.87/17.45 (mand @ (mbox @ (qmltpeq @ (op @ e2 @ e2) @ e1)) @ 132.87/17.45 (mbox @ (qmltpeq @ (op @ e3 @ e3) @ e1))))) @ 132.87/17.45 (mor @ 132.87/17.45 (mand @ (mbox @ (qmltpeq @ (op @ e0 @ e0) @ e2)) @ 132.87/17.45 (mand @ (mbox @ (qmltpeq @ (op @ e1 @ e1) @ e2)) @ 132.87/17.45 (mand @ (mbox @ (qmltpeq @ (op @ e2 @ e2) @ e2)) @ 132.87/17.45 (mbox @ (qmltpeq @ (op @ e3 @ e3) @ e2))))) @ 132.87/17.45 (mand @ (mbox @ (qmltpeq @ (op @ e0 @ e0) @ e3)) @ 132.87/17.45 (mand @ (mbox @ (qmltpeq @ (op @ e1 @ e1) @ e3)) @ 132.87/17.45 (mand @ (mbox @ (qmltpeq @ (op @ e2 @ e2) @ e3)) @ 132.87/17.45 (mbox @ (qmltpeq @ (op @ e3 @ e3) @ e3))))))))))) @ 132.87/17.45 '#sk3')), 132.87/17.45 inference('lazy_cnf_imply', [status(thm)], [zip_derived_cl802])). 132.87/17.45 thf(mnot_def, axiom, ~ (mnot @ X0 @ X1) => ((X0 @ X1) = ($true))). 132.87/17.45 thf('2', plain, 132.87/17.45 (![X0:( mworld > $o ),X1:mworld]: 132.87/17.45 ( ( ~( mnot @ X0 @ X1 ) ) <=> ( X0 @ X1 ) )), 132.87/17.45 inference('rw.lit', [status(esa)], [mnot_def])). 132.87/17.45 thf(zip_derived_cl805, plain, 132.87/17.45 ( (mand @ 132.87/17.45 (mor @ 132.87/17.45 (mand @ (mbox @ (qmltpeq @ (op @ e0 @ e0) @ e0)) @ 132.87/17.45 (mand @ (mbox @ (qmltpeq @ (op @ e1 @ e1) @ e0)) @ 132.87/17.45 (mand @ (mbox @ (qmltpeq @ (op @ e2 @ e2) @ e0)) @ 132.87/17.45 (mbox @ (qmltpeq @ (op @ e3 @ e3) @ e0))))) @ 132.87/17.45 (mor @ 132.87/17.45 (mand @ (mbox @ (qmltpeq @ (op @ e0 @ e0) @ e1)) @ 132.87/17.45 (mand @ (mbox @ (qmltpeq @ (op @ e1 @ e1) @ e1)) @ 132.87/17.45 (mand @ (mbox @ (qmltpeq @ (op @ e2 @ e2) @ e1)) @ 132.87/17.45 (mbox @ (qmltpeq @ (op @ e3 @ e3) @ e1))))) @ 132.87/17.45 (mor @ 132.87/17.45 (mand @ (mbox @ (qmltpeq @ (op @ e0 @ e0) @ e2)) @ 132.87/17.45 (mand @ (mbox @ (qmltpeq @ (op @ e1 @ e1) @ e2)) @ 132.87/17.45 (mand @ (mbox @ (qmltpeq @ (op @ e2 @ e2) @ e2)) @ 132.87/17.45 (mbox @ (qmltpeq @ (op @ e3 @ e3) @ e2))))) @ 132.87/17.45 (mand @ (mbox @ (qmltpeq @ (op @ e0 @ e0) @ e3)) @ 132.87/17.45 (mand @ (mbox @ (qmltpeq @ (op @ e1 @ e1) @ e3)) @ 132.87/17.45 (mand @ (mbox @ (qmltpeq @ (op @ e2 @ e2) @ e3)) @ 132.87/17.45 (mbox @ (qmltpeq @ (op @ e3 @ e3) @ e3)))))))) @ 132.87/17.45 (mbox @ 132.87/17.45 (mnot @ 132.87/17.45 (mor @ 132.87/17.45 (mand @ (mbox @ (qmltpeq @ (op @ e0 @ e0) @ e0)) @ 132.87/17.45 (mand @ (mbox @ (qmltpeq @ (op @ e1 @ e1) @ e0)) @ 132.87/17.45 (mand @ (mbox @ (qmltpeq @ (op @ e2 @ e2) @ e0)) @ 132.87/17.45 (mbox @ (qmltpeq @ (op @ e3 @ e3) @ e0))))) @ 132.87/17.45 (mor @ 132.87/17.45 (mand @ (mbox @ (qmltpeq @ (op @ e0 @ e0) @ e1)) @ 132.87/17.45 (mand @ (mbox @ (qmltpeq @ (op @ e1 @ e1) @ e1)) @ 132.87/17.45 (mand @ (mbox @ (qmltpeq @ (op @ e2 @ e2) @ e1)) @ 132.87/17.45 (mbox @ (qmltpeq @ (op @ e3 @ e3) @ e1))))) @ 132.87/17.45 (mor @ 132.87/17.45 (mand @ (mbox @ (qmltpeq @ (op @ e0 @ e0) @ e2)) @ 132.87/17.45 (mand @ (mbox @ (qmltpeq @ (op @ e1 @ e1) @ e2)) @ 132.87/17.45 (mand @ (mbox @ (qmltpeq @ (op @ e2 @ e2) @ e2)) @ 132.87/17.45 (mbox @ (qmltpeq @ (op @ e3 @ e3) @ e2))))) @ 132.87/17.45 (mand @ (mbox @ (qmltpeq @ (op @ e0 @ e0) @ e3)) @ 132.87/17.45 (mand @ (mbox @ (qmltpeq @ (op @ e1 @ e1) @ e3)) @ 132.87/17.45 (mand @ (mbox @ (qmltpeq @ (op @ e2 @ e2) @ e3)) @ 132.87/17.45 (mbox @ (qmltpeq @ (op @ e3 @ e3) @ e3)))))))))) @ 132.87/17.45 '#sk3')), 132.87/17.45 inference('rw_clause', [status(thm)], [zip_derived_cl804, '2'])). 132.87/17.45 thf(mand_def, axiom, (mand @ X0 @ X1 @ X2) => 132.87/17.45 ((((X1 @ X2) & (X0 @ X2))) = ($true))). 132.87/17.45 thf('3', plain, 132.87/17.45 (![X0:( mworld > $o ),X1:( mworld > $o ),X2:mworld]: 132.87/17.45 ( ( mand @ X0 @ X1 @ X2 ) <=> ( ( X0 @ X2 ) & ( X1 @ X2 ) ) )), 132.87/17.45 inference('rw.lit', [status(esa)], [mand_def])). 132.87/17.45 thf(zip_derived_cl806, plain, 132.87/17.45 ( (((mbox @ 132.87/17.45 (mnot @ 132.87/17.45 (mor @ 132.87/17.45 (mand @ (mbox @ (qmltpeq @ (op @ e0 @ e0) @ e0)) @ 132.87/17.45 (mand @ (mbox @ (qmltpeq @ (op @ e1 @ e1) @ e0)) @ 132.87/17.45 (mand @ (mbox @ (qmltpeq @ (op @ e2 @ e2) @ e0)) @ 132.87/17.45 (mbox @ (qmltpeq @ (op @ e3 @ e3) @ e0))))) @ 132.87/17.45 (mor @ 132.87/17.45 (mand @ (mbox @ (qmltpeq @ (op @ e0 @ e0) @ e1)) @ 132.87/17.45 (mand @ (mbox @ (qmltpeq @ (op @ e1 @ e1) @ e1)) @ 132.87/17.45 (mand @ (mbox @ (qmltpeq @ (op @ e2 @ e2) @ e1)) @ 132.87/17.45 (mbox @ (qmltpeq @ (op @ e3 @ e3) @ e1))))) @ 132.87/17.45 (mor @ 132.87/17.45 (mand @ (mbox @ (qmltpeq @ (op @ e0 @ e0) @ e2)) @ 132.87/17.45 (mand @ (mbox @ (qmltpeq @ (op @ e1 @ e1) @ e2)) @ 132.87/17.45 (mand @ (mbox @ (qmltpeq @ (op @ e2 @ e2) @ e2)) @ 132.87/17.45 (mbox @ (qmltpeq @ (op @ e3 @ e3) @ e2))))) @ 132.87/17.45 (mand @ (mbox @ (qmltpeq @ (op @ e0 @ e0) @ e3)) @ 132.87/17.45 (mand @ (mbox @ (qmltpeq @ (op @ e1 @ e1) @ e3)) @ 132.87/17.45 (mand @ (mbox @ (qmltpeq @ (op @ e2 @ e2) @ e3)) @ 132.87/17.45 (mbox @ (qmltpeq @ (op @ e3 @ e3) @ e3))))))))) @ 132.87/17.45 '#sk3') & (mor @ 132.87/17.45 (mand @ (mbox @ (qmltpeq @ (op @ e0 @ e0) @ e0)) @ 132.87/17.45 (mand @ (mbox @ (qmltpeq @ (op @ e1 @ e1) @ e0)) @ 132.87/17.45 (mand @ (mbox @ (qmltpeq @ (op @ e2 @ e2) @ e0)) @ 132.87/17.45 (mbox @ (qmltpeq @ (op @ e3 @ e3) @ e0))))) @ 132.87/17.45 (mor @ 132.87/17.45 (mand @ (mbox @ (qmltpeq @ (op @ e0 @ e0) @ e1)) @ 132.87/17.45 (mand @ (mbox @ (qmltpeq @ (op @ e1 @ e1) @ e1)) @ 132.87/17.45 (mand @ (mbox @ (qmltpeq @ (op @ e2 @ e2) @ e1)) @ 132.87/17.45 (mbox @ (qmltpeq @ (op @ e3 @ e3) @ e1))))) @ 132.87/17.45 (mor @ 132.87/17.45 (mand @ (mbox @ (qmltpeq @ (op @ e0 @ e0) @ e2)) @ 132.87/17.45 (mand @ (mbox @ (qmltpeq @ (op @ e1 @ e1) @ e2)) @ 132.87/17.45 (mand @ (mbox @ (qmltpeq @ (op @ e2 @ e2) @ e2)) @ 132.87/17.45 (mbox @ (qmltpeq @ (op @ e3 @ e3) @ e2))))) @ 132.87/17.45 (mand @ (mbox @ (qmltpeq @ (op @ e0 @ e0) @ e3)) @ 132.87/17.45 (mand @ (mbox @ (qmltpeq @ (op @ e1 @ e1) @ e3)) @ 132.87/17.45 (mand @ (mbox @ (qmltpeq @ (op @ e2 @ e2) @ e3)) @ 132.87/17.45 (mbox @ (qmltpeq @ (op @ e3 @ e3) @ e3))))))) @ 132.87/17.45 '#sk3')))), 132.87/17.45 inference('rw_clause', [status(thm)], [zip_derived_cl805, '3'])). 132.87/17.45 thf(zip_derived_cl807, plain, 132.87/17.45 ( (mbox @ 132.87/17.45 (mnot @ 132.87/17.45 (mor @ 132.87/17.45 (mand @ (mbox @ (qmltpeq @ (op @ e0 @ e0) @ e0)) @ 132.87/17.45 (mand @ (mbox @ (qmltpeq @ (op @ e1 @ e1) @ e0)) @ 132.87/17.45 (mand @ (mbox @ (qmltpeq @ (op @ e2 @ e2) @ e0)) @ 132.87/17.45 (mbox @ (qmltpeq @ (op @ e3 @ e3) @ e0))))) @ 132.87/17.45 (mor @ 132.87/17.45 (mand @ (mbox @ (qmltpeq @ (op @ e0 @ e0) @ e1)) @ 132.87/17.45 (mand @ (mbox @ (qmltpeq @ (op @ e1 @ e1) @ e1)) @ 132.87/17.45 (mand @ (mbox @ (qmltpeq @ (op @ e2 @ e2) @ e1)) @ 132.87/17.45 (mbox @ (qmltpeq @ (op @ e3 @ e3) @ e1))))) @ 132.87/17.45 (mor @ 132.87/17.45 (mand @ (mbox @ (qmltpeq @ (op @ e0 @ e0) @ e2)) @ 132.87/17.45 (mand @ (mbox @ (qmltpeq @ (op @ e1 @ e1) @ e2)) @ 132.87/17.45 (mand @ (mbox @ (qmltpeq @ (op @ e2 @ e2) @ e2)) @ 132.87/17.45 (mbox @ (qmltpeq @ (op @ e3 @ e3) @ e2))))) @ 132.87/17.45 (mand @ (mbox @ (qmltpeq @ (op @ e0 @ e0) @ e3)) @ 132.87/17.45 (mand @ (mbox @ (qmltpeq @ (op @ e1 @ e1) @ e3)) @ 132.87/17.45 (mand @ (mbox @ (qmltpeq @ (op @ e2 @ e2) @ e3)) @ 132.87/17.45 (mbox @ (qmltpeq @ (op @ e3 @ e3) @ e3))))))))) @ 132.87/17.45 '#sk3')), 132.87/17.45 inference('lazy_cnf_and', [status(thm)], [zip_derived_cl806])). 132.87/17.45 thf(mbox_def, axiom, (mbox @ X0 @ X1) => 132.87/17.45 ((((!!) @ (^[Y0 : mworld]: (((mrel @ X1 @ Y0) => (X0 @ Y0)))))) = ($true))). 132.87/17.45 thf('4', plain, 132.87/17.45 (![X0:( mworld > $o ),X1:mworld]: 132.87/17.45 ( ( mbox @ X0 @ X1 ) <=> 132.87/17.45 ( ![X6:mworld]: ( ( mrel @ X1 @ X6 ) => ( X0 @ X6 ) ) ) )), 132.87/17.45 inference('rw.lit', [status(esa)], [mbox_def])). 132.87/17.45 thf(zip_derived_cl809, plain, 132.87/17.45 ( (((!!) @ (^[Y0 : mworld]: 132.87/17.45 (((mrel @ '#sk3' @ Y0) => (mnot @ 132.87/17.45 (mor @ 132.87/17.45 (mand @ (mbox @ (qmltpeq @ (op @ e0 @ e0) @ e0)) @ 132.87/17.45 (mand @ (mbox @ (qmltpeq @ (op @ e1 @ e1) @ e0)) @ 132.87/17.45 (mand @ (mbox @ (qmltpeq @ (op @ e2 @ e2) @ e0)) @ 132.87/17.45 (mbox @ (qmltpeq @ (op @ e3 @ e3) @ e0))))) @ 132.87/17.45 (mor @ 132.87/17.45 (mand @ (mbox @ (qmltpeq @ (op @ e0 @ e0) @ e1)) @ 132.87/17.46 (mand @ (mbox @ (qmltpeq @ (op @ e1 @ e1) @ e1)) @ 132.87/17.46 (mand @ (mbox @ (qmltpeq @ (op @ e2 @ e2) @ e1)) @ 132.87/17.46 (mbox @ (qmltpeq @ (op @ e3 @ e3) @ e1))))) @ 132.87/17.46 (mor @ 132.87/17.46 (mand @ (mbox @ (qmltpeq @ (op @ e0 @ e0) @ e2)) @ 132.87/17.46 (mand @ (mbox @ (qmltpeq @ (op @ e1 @ e1) @ e2)) @ 132.87/17.46 (mand @ (mbox @ (qmltpeq @ (op @ e2 @ e2) @ e2)) @ 132.87/17.46 (mbox @ (qmltpeq @ (op @ e3 @ e3) @ e2))))) @ 132.87/17.46 (mand @ (mbox @ (qmltpeq @ (op @ e0 @ e0) @ e3)) @ 132.87/17.46 (mand @ (mbox @ (qmltpeq @ (op @ e1 @ e1) @ e3)) @ 132.87/17.46 (mand @ (mbox @ (qmltpeq @ (op @ e2 @ e2) @ e3)) @ 132.87/17.46 (mbox @ (qmltpeq @ (op @ e3 @ e3) @ e3)))))))) @ 132.87/17.46 Y0))))))), 132.87/17.46 inference('rw_clause', [status(thm)], [zip_derived_cl807, '4'])). 132.87/17.46 thf(zip_derived_cl811, plain, 132.87/17.46 (![X2 : mworld]: 132.87/17.46 (((mrel @ '#sk3' @ X2) => (mnot @ 132.87/17.46 (mor @ 132.87/17.46 (mand @ (mbox @ (qmltpeq @ (op @ e0 @ e0) @ e0)) @ 132.87/17.46 (mand @ (mbox @ (qmltpeq @ (op @ e1 @ e1) @ e0)) @ 132.87/17.46 (mand @ (mbox @ (qmltpeq @ (op @ e2 @ e2) @ e0)) @ 132.87/17.46 (mbox @ (qmltpeq @ (op @ e3 @ e3) @ e0))))) @ 132.87/17.46 (mor @ 132.87/17.46 (mand @ (mbox @ (qmltpeq @ (op @ e0 @ e0) @ e1)) @ 132.87/17.46 (mand @ (mbox @ (qmltpeq @ (op @ e1 @ e1) @ e1)) @ 132.87/17.46 (mand @ (mbox @ (qmltpeq @ (op @ e2 @ e2) @ e1)) @ 132.87/17.46 (mbox @ (qmltpeq @ (op @ e3 @ e3) @ e1))))) @ 132.87/17.46 (mor @ 132.87/17.46 (mand @ (mbox @ (qmltpeq @ (op @ e0 @ e0) @ e2)) @ 132.87/17.46 (mand @ (mbox @ (qmltpeq @ (op @ e1 @ e1) @ e2)) @ 132.87/17.46 (mand @ (mbox @ (qmltpeq @ (op @ e2 @ e2) @ e2)) @ 132.87/17.46 (mbox @ (qmltpeq @ (op @ e3 @ e3) @ e2))))) @ 132.87/17.46 (mand @ (mbox @ (qmltpeq @ (op @ e0 @ e0) @ e3)) @ 132.87/17.46 (mand @ (mbox @ (qmltpeq @ (op @ e1 @ e1) @ e3)) @ 132.87/17.46 (mand @ (mbox @ (qmltpeq @ (op @ e2 @ e2) @ e3)) @ 132.87/17.46 (mbox @ (qmltpeq @ (op @ e3 @ e3) @ e3)))))))) @ 132.87/17.46 X2)))), 132.87/17.46 inference('lazy_cnf_forall', [status(thm)], [zip_derived_cl809])). 132.87/17.46 thf(zip_derived_cl813, plain, 132.87/17.46 (![X2 : mworld]: 132.87/17.46 (~ (mrel @ '#sk3' @ X2) 132.87/17.46 | (mnot @ 132.87/17.46 (mor @ 132.87/17.46 (mand @ (mbox @ (qmltpeq @ (op @ e0 @ e0) @ e0)) @ 132.87/17.46 (mand @ (mbox @ (qmltpeq @ (op @ e1 @ e1) @ e0)) @ 132.87/17.46 (mand @ (mbox @ (qmltpeq @ (op @ e2 @ e2) @ e0)) @ 132.87/17.46 (mbox @ (qmltpeq @ (op @ e3 @ e3) @ e0))))) @ 132.87/17.46 (mor @ 132.87/17.46 (mand @ (mbox @ (qmltpeq @ (op @ e0 @ e0) @ e1)) @ 132.87/17.46 (mand @ (mbox @ (qmltpeq @ (op @ e1 @ e1) @ e1)) @ 132.87/17.46 (mand @ (mbox @ (qmltpeq @ (op @ e2 @ e2) @ e1)) @ 132.87/17.46 (mbox @ (qmltpeq @ (op @ e3 @ e3) @ e1))))) @ 132.87/17.46 (mor @ 132.87/17.46 (mand @ (mbox @ (qmltpeq @ (op @ e0 @ e0) @ e2)) @ 132.87/17.46 (mand @ (mbox @ (qmltpeq @ (op @ e1 @ e1) @ e2)) @ 132.87/17.46 (mand @ (mbox @ (qmltpeq @ (op @ e2 @ e2) @ e2)) @ 132.87/17.46 (mbox @ (qmltpeq @ (op @ e3 @ e3) @ e2))))) @ 132.87/17.46 (mand @ (mbox @ (qmltpeq @ (op @ e0 @ e0) @ e3)) @ 132.87/17.46 (mand @ (mbox @ (qmltpeq @ (op @ e1 @ e1) @ e3)) @ 132.87/17.46 (mand @ (mbox @ (qmltpeq @ (op @ e2 @ e2) @ e3)) @ 132.87/17.46 (mbox @ (qmltpeq @ (op @ e3 @ e3) @ e3)))))))) @ 132.87/17.46 X2))), 132.87/17.46 inference('lazy_cnf_imply', [status(thm)], [zip_derived_cl811])). 132.87/17.46 thf(mnot_def, axiom, (mnot @ X0 @ X1) => ((X0 @ X1) != ($true))). 132.87/17.46 thf('5', plain, 132.87/17.46 (![X0:( mworld > $o ),X1:mworld]: 132.87/17.46 ( ( mnot @ X0 @ X1 ) <=> ( ~( X0 @ X1 ) ) )), 132.87/17.46 inference('rw.lit', [status(esa)], [mnot_def])). 132.87/17.46 thf(zip_derived_cl815, plain, 132.87/17.46 (![X0 : mworld]: 132.87/17.46 (~ (mor @ 132.87/17.46 (mand @ (mbox @ (qmltpeq @ (op @ e0 @ e0) @ e0)) @ 132.87/17.46 (mand @ (mbox @ (qmltpeq @ (op @ e1 @ e1) @ e0)) @ 132.87/17.46 (mand @ (mbox @ (qmltpeq @ (op @ e2 @ e2) @ e0)) @ 132.87/17.46 (mbox @ (qmltpeq @ (op @ e3 @ e3) @ e0))))) @ 132.87/17.46 (mor @ 132.87/17.46 (mand @ (mbox @ (qmltpeq @ (op @ e0 @ e0) @ e1)) @ 132.87/17.46 (mand @ (mbox @ (qmltpeq @ (op @ e1 @ e1) @ e1)) @ 132.87/17.46 (mand @ (mbox @ (qmltpeq @ (op @ e2 @ e2) @ e1)) @ 132.87/17.46 (mbox @ (qmltpeq @ (op @ e3 @ e3) @ e1))))) @ 132.87/17.46 (mor @ 132.87/17.46 (mand @ (mbox @ (qmltpeq @ (op @ e0 @ e0) @ e2)) @ 132.87/17.46 (mand @ (mbox @ (qmltpeq @ (op @ e1 @ e1) @ e2)) @ 132.87/17.46 (mand @ (mbox @ (qmltpeq @ (op @ e2 @ e2) @ e2)) @ 132.87/17.46 (mbox @ (qmltpeq @ (op @ e3 @ e3) @ e2))))) @ 132.87/17.46 (mand @ (mbox @ (qmltpeq @ (op @ e0 @ e0) @ e3)) @ 132.87/17.46 (mand @ (mbox @ (qmltpeq @ (op @ e1 @ e1) @ e3)) @ 132.87/17.46 (mand @ (mbox @ (qmltpeq @ (op @ e2 @ e2) @ e3)) @ 132.87/17.46 (mbox @ (qmltpeq @ (op @ e3 @ e3) @ e3))))))) @ 132.87/17.46 X0) 132.87/17.46 | ~ (mrel @ '#sk3' @ X0))), 132.87/17.46 inference('rw_clause', [status(thm)], [zip_derived_cl813, '5'])). 132.87/17.46 thf(mor_def, axiom, ~ (mor @ X0 @ X1 @ X2) => 132.87/17.46 ((((X1 @ X2) | (X0 @ X2))) != ($true))). 132.87/17.46 thf('6', plain, 132.87/17.46 (![X0:( mworld > $o ),X1:( mworld > $o ),X2:mworld]: 132.87/17.46 ( ( ~( mor @ X0 @ X1 @ X2 ) ) <=> ( ~( ( X1 @ X2 ) | ( X0 @ X2 ) ) ) )), 132.87/17.46 inference('rw.lit', [status(esa)], [mor_def])). 132.87/17.46 thf(zip_derived_cl817, plain, 132.87/17.46 (![X0 : mworld]: 132.87/17.46 (~ (((mor @ 132.87/17.46 (mand @ (mbox @ (qmltpeq @ (op @ e0 @ e0) @ e1)) @ 132.87/17.46 (mand @ (mbox @ (qmltpeq @ (op @ e1 @ e1) @ e1)) @ 132.87/17.46 (mand @ (mbox @ (qmltpeq @ (op @ e2 @ e2) @ e1)) @ 132.87/17.46 (mbox @ (qmltpeq @ (op @ e3 @ e3) @ e1))))) @ 132.87/17.46 (mor @ 132.87/17.46 (mand @ (mbox @ (qmltpeq @ (op @ e0 @ e0) @ e2)) @ 132.87/17.46 (mand @ (mbox @ (qmltpeq @ (op @ e1 @ e1) @ e2)) @ 132.87/17.46 (mand @ (mbox @ (qmltpeq @ (op @ e2 @ e2) @ e2)) @ 132.87/17.46 (mbox @ (qmltpeq @ (op @ e3 @ e3) @ e2))))) @ 132.87/17.46 (mand @ (mbox @ (qmltpeq @ (op @ e0 @ e0) @ e3)) @ 132.87/17.46 (mand @ (mbox @ (qmltpeq @ (op @ e1 @ e1) @ e3)) @ 132.87/17.46 (mand @ (mbox @ (qmltpeq @ (op @ e2 @ e2) @ e3)) @ 132.87/17.46 (mbox @ (qmltpeq @ (op @ e3 @ e3) @ e3)))))) @ 132.87/17.46 X0) | (mand @ (mbox @ (qmltpeq @ (op @ e0 @ e0) @ e0)) @ 132.87/17.46 (mand @ (mbox @ (qmltpeq @ (op @ e1 @ e1) @ e0)) @ 132.87/17.46 (mand @ (mbox @ (qmltpeq @ (op @ e2 @ e2) @ e0)) @ 132.87/17.46 (mbox @ (qmltpeq @ (op @ e3 @ e3) @ e0)))) @ 132.87/17.46 X0))) 132.87/17.46 | ~ (mrel @ '#sk3' @ X0))), 132.87/17.46 inference('rw_clause', [status(thm)], [zip_derived_cl815, '6'])). 132.87/17.46 thf(zip_derived_cl820, plain, 132.87/17.46 (![X0 : mworld]: 132.87/17.46 (~ (mor @ 132.87/17.46 (mand @ (mbox @ (qmltpeq @ (op @ e0 @ e0) @ e1)) @ 132.87/17.46 (mand @ (mbox @ (qmltpeq @ (op @ e1 @ e1) @ e1)) @ 132.87/17.46 (mand @ (mbox @ (qmltpeq @ (op @ e2 @ e2) @ e1)) @ 132.87/17.46 (mbox @ (qmltpeq @ (op @ e3 @ e3) @ e1))))) @ 132.87/17.46 (mor @ 132.87/17.46 (mand @ (mbox @ (qmltpeq @ (op @ e0 @ e0) @ e2)) @ 132.87/17.46 (mand @ (mbox @ (qmltpeq @ (op @ e1 @ e1) @ e2)) @ 132.87/17.46 (mand @ (mbox @ (qmltpeq @ (op @ e2 @ e2) @ e2)) @ 132.87/17.46 (mbox @ (qmltpeq @ (op @ e3 @ e3) @ e2))))) @ 132.87/17.46 (mand @ (mbox @ (qmltpeq @ (op @ e0 @ e0) @ e3)) @ 132.87/17.46 (mand @ (mbox @ (qmltpeq @ (op @ e1 @ e1) @ e3)) @ 132.87/17.46 (mand @ (mbox @ (qmltpeq @ (op @ e2 @ e2) @ e3)) @ 132.87/17.46 (mbox @ (qmltpeq @ (op @ e3 @ e3) @ e3)))))) @ 132.87/17.46 X0) 132.87/17.46 | ~ (mrel @ '#sk3' @ X0))), 132.87/17.46 inference('lazy_cnf_or', [status(thm)], [zip_derived_cl817])). 132.87/17.46 thf(zip_derived_cl824, plain, 132.87/17.46 (![X0 : mworld]: 132.87/17.46 (~ (((mor @ 132.87/17.46 (mand @ (mbox @ (qmltpeq @ (op @ e0 @ e0) @ e2)) @ 132.87/17.46 (mand @ (mbox @ (qmltpeq @ (op @ e1 @ e1) @ e2)) @ 132.87/17.46 (mand @ (mbox @ (qmltpeq @ (op @ e2 @ e2) @ e2)) @ 132.87/17.46 (mbox @ (qmltpeq @ (op @ e3 @ e3) @ e2))))) @ 132.87/17.46 (mand @ (mbox @ (qmltpeq @ (op @ e0 @ e0) @ e3)) @ 132.87/17.46 (mand @ (mbox @ (qmltpeq @ (op @ e1 @ e1) @ e3)) @ 132.87/17.46 (mand @ (mbox @ (qmltpeq @ (op @ e2 @ e2) @ e3)) @ 132.87/17.46 (mbox @ (qmltpeq @ (op @ e3 @ e3) @ e3))))) @ 132.87/17.46 X0) | (mand @ (mbox @ (qmltpeq @ (op @ e0 @ e0) @ e1)) @ 132.87/17.46 (mand @ (mbox @ (qmltpeq @ (op @ e1 @ e1) @ e1)) @ 132.87/17.46 (mand @ (mbox @ (qmltpeq @ (op @ e2 @ e2) @ e1)) @ 132.87/17.46 (mbox @ (qmltpeq @ (op @ e3 @ e3) @ e1)))) @ 132.87/17.46 X0))) 132.87/17.46 | ~ (mrel @ '#sk3' @ X0))), 132.87/17.46 inference('rw_clause', [status(thm)], [zip_derived_cl820, '6'])). 132.87/17.46 thf(zip_derived_cl829, plain, 132.87/17.46 (![X0 : mworld]: 132.87/17.46 (~ (mor @ 132.87/17.46 (mand @ (mbox @ (qmltpeq @ (op @ e0 @ e0) @ e2)) @ 132.87/17.46 (mand @ (mbox @ (qmltpeq @ (op @ e1 @ e1) @ e2)) @ 132.87/17.46 (mand @ (mbox @ (qmltpeq @ (op @ e2 @ e2) @ e2)) @ 132.87/17.46 (mbox @ (qmltpeq @ (op @ e3 @ e3) @ e2))))) @ 132.87/17.46 (mand @ (mbox @ (qmltpeq @ (op @ e0 @ e0) @ e3)) @ 132.87/17.46 (mand @ (mbox @ (qmltpeq @ (op @ e1 @ e1) @ e3)) @ 132.87/17.46 (mand @ (mbox @ (qmltpeq @ (op @ e2 @ e2) @ e3)) @ 132.87/17.46 (mbox @ (qmltpeq @ (op @ e3 @ e3) @ e3))))) @ 132.87/17.46 X0) 132.87/17.46 | ~ (mrel @ '#sk3' @ X0))), 132.87/17.46 inference('lazy_cnf_or', [status(thm)], [zip_derived_cl824])). 132.87/17.46 thf(zip_derived_cl835, plain, 132.87/17.46 (![X0 : mworld]: 132.87/17.46 (~ (((mand @ (mbox @ (qmltpeq @ (op @ e0 @ e0) @ e3)) @ 132.87/17.46 (mand @ (mbox @ (qmltpeq @ (op @ e1 @ e1) @ e3)) @ 132.87/17.46 (mand @ (mbox @ (qmltpeq @ (op @ e2 @ e2) @ e3)) @ 132.87/17.46 (mbox @ (qmltpeq @ (op @ e3 @ e3) @ e3)))) @ 132.87/17.46 X0) | (mand @ (mbox @ (qmltpeq @ (op @ e0 @ e0) @ e2)) @ 132.87/17.46 (mand @ (mbox @ (qmltpeq @ (op @ e1 @ e1) @ e2)) @ 132.87/17.46 (mand @ (mbox @ (qmltpeq @ (op @ e2 @ e2) @ e2)) @ 132.87/17.46 (mbox @ (qmltpeq @ (op @ e3 @ e3) @ e2)))) @ 132.87/17.46 X0))) 132.87/17.46 | ~ (mrel @ '#sk3' @ X0))), 132.87/17.46 inference('rw_clause', [status(thm)], [zip_derived_cl829, '6'])). 132.87/17.46 thf(zip_derived_cl842, plain, 132.87/17.46 (![X0 : mworld]: 132.87/17.46 (~ (mand @ (mbox @ (qmltpeq @ (op @ e0 @ e0) @ e3)) @ 132.87/17.46 (mand @ (mbox @ (qmltpeq @ (op @ e1 @ e1) @ e3)) @ 132.87/17.46 (mand @ (mbox @ (qmltpeq @ (op @ e2 @ e2) @ e3)) @ 132.87/17.46 (mbox @ (qmltpeq @ (op @ e3 @ e3) @ e3)))) @ 132.87/17.46 X0) 132.87/17.46 | ~ (mrel @ '#sk3' @ X0))), 132.87/17.46 inference('lazy_cnf_or', [status(thm)], [zip_derived_cl835])). 132.87/17.46 thf(mand_def, axiom, ~ (mand @ X0 @ X1 @ X2) => 132.87/17.46 ((((X0 @ X2) & (X1 @ X2))) != ($true))). 132.87/17.46 thf('7', plain, 132.87/17.46 (![X0:( mworld > $o ),X1:( mworld > $o ),X2:mworld]: 132.87/17.46 ( ( ~( mand @ X0 @ X1 @ X2 ) ) <=> ( ~( ( X0 @ X2 ) & ( X1 @ X2 ) ) ) )), 132.87/17.46 inference('rw.lit', [status(esa)], [mand_def])). 132.87/17.46 thf(zip_derived_cl850, plain, 132.87/17.46 (![X0 : mworld]: 132.87/17.46 (~ (((mbox @ (qmltpeq @ (op @ e0 @ e0) @ e3) @ X0) & (mand @ 132.87/17.46 (mbox @ (qmltpeq @ (op @ e1 @ e1) @ e3)) @ 132.87/17.46 (mand @ (mbox @ (qmltpeq @ (op @ e2 @ e2) @ e3)) @ 132.87/17.46 (mbox @ (qmltpeq @ (op @ e3 @ e3) @ e3))) @ 132.87/17.46 X0))) 132.87/17.46 | ~ (mrel @ '#sk3' @ X0))), 132.87/17.46 inference('rw_clause', [status(thm)], [zip_derived_cl842, '7'])). 132.87/17.46 thf(zip_derived_cl859, plain, 132.87/17.46 (![X0 : mworld]: 132.87/17.46 (~ (mbox @ (qmltpeq @ (op @ e0 @ e0) @ e3) @ X0) 132.87/17.46 | ~ (mand @ (mbox @ (qmltpeq @ (op @ e1 @ e1) @ e3)) @ 132.87/17.46 (mand @ (mbox @ (qmltpeq @ (op @ e2 @ e2) @ e3)) @ 132.87/17.46 (mbox @ (qmltpeq @ (op @ e3 @ e3) @ e3))) @ 132.87/17.46 X0) 132.87/17.46 | ~ (mrel @ '#sk3' @ X0))), 132.87/17.46 inference('lazy_cnf_and', [status(thm)], [zip_derived_cl850])). 132.87/17.46 thf(zip_derived_cl868, plain, 132.87/17.46 (![X0 : mworld]: 132.87/17.46 (~ (((!!) @ (^[Y0 : mworld]: 132.87/17.46 (((mrel @ X0 @ Y0) => (qmltpeq @ (op @ e0 @ e0) @ e3 @ 132.87/17.46 Y0)))))) 132.87/17.46 | ~ (mrel @ '#sk3' @ X0) 132.87/17.46 | ~ (mand @ (mbox @ (qmltpeq @ (op @ e1 @ e1) @ e3)) @ 132.87/17.46 (mand @ (mbox @ (qmltpeq @ (op @ e2 @ e2) @ e3)) @ 132.87/17.46 (mbox @ (qmltpeq @ (op @ e3 @ e3) @ e3))) @ 132.87/17.46 X0))), 132.87/17.46 inference('rw_clause', [status(thm)], [zip_derived_cl859, '1'])). 132.87/17.46 thf(ax6, axiom, 132.87/17.46 (mlocal @ 132.87/17.46 ( mand @ 132.87/17.46 ( mbox @ ( qmltpeq @ ( inv @ ( inv @ e0 ) ) @ e0 ) ) @ 132.87/17.46 ( mand @ 132.87/17.46 ( mbox @ ( qmltpeq @ ( inv @ ( inv @ e1 ) ) @ e1 ) ) @ 132.87/17.46 ( mand @ 132.87/17.46 ( mbox @ ( qmltpeq @ ( inv @ ( inv @ e2 ) ) @ e2 ) ) @ 132.87/17.46 ( mbox @ ( qmltpeq @ ( inv @ ( inv @ e3 ) ) @ e3 ) ) ) ) ))). 132.87/17.46 thf(zip_derived_cl13, plain, 132.87/17.46 ( (mlocal @ 132.87/17.46 (mand @ (mbox @ (qmltpeq @ (inv @ (inv @ e0)) @ e0)) @ 132.87/17.46 (mand @ (mbox @ (qmltpeq @ (inv @ (inv @ e1)) @ e1)) @ 132.87/17.46 (mand @ (mbox @ (qmltpeq @ (inv @ (inv @ e2)) @ e2)) @ 132.87/17.46 (mbox @ (qmltpeq @ (inv @ (inv @ e3)) @ e3))))))), 132.87/17.46 inference('cnf', [status(esa)], [ax6])). 132.87/17.46 thf(zip_derived_cl248, plain, 132.87/17.46 ( (mand @ (mbox @ (qmltpeq @ (inv @ (inv @ e0)) @ e0)) @ 132.87/17.46 (mand @ (mbox @ (qmltpeq @ (inv @ (inv @ e1)) @ e1)) @ 132.87/17.46 (mand @ (mbox @ (qmltpeq @ (inv @ (inv @ e2)) @ e2)) @ 132.87/17.46 (mbox @ (qmltpeq @ (inv @ (inv @ e3)) @ e3)))) @ 132.87/17.46 mactual)), 132.87/17.46 inference('rw', [status(thm)], [zip_derived_cl13, '0'])). 132.87/17.46 thf(zip_derived_cl249, plain, 132.87/17.46 ( (((mand @ (mbox @ (qmltpeq @ (inv @ (inv @ e1)) @ e1)) @ 132.87/17.46 (mand @ (mbox @ (qmltpeq @ (inv @ (inv @ e2)) @ e2)) @ 132.87/17.46 (mbox @ (qmltpeq @ (inv @ (inv @ e3)) @ e3))) @ 132.87/17.46 mactual) & (mbox @ (qmltpeq @ (inv @ (inv @ e0)) @ e0) @ mactual)))), 132.87/17.46 inference('rw_clause', [status(thm)], [zip_derived_cl248, '3'])). 132.87/17.46 thf(zip_derived_cl251, plain, 132.87/17.46 ( (mbox @ (qmltpeq @ (inv @ (inv @ e0)) @ e0) @ mactual)), 132.87/17.46 inference('lazy_cnf_and', [status(thm)], [zip_derived_cl249])). 132.87/17.46 thf(zip_derived_cl253, plain, 132.87/17.46 ( (((!!) @ (^[Y0 : mworld]: 132.87/17.46 (((mrel @ mactual @ Y0) => (qmltpeq @ (inv @ (inv @ e0)) @ 132.87/17.46 e0 @ Y0))))))), 132.87/17.46 inference('rw_clause', [status(thm)], [zip_derived_cl251, '4'])). 132.87/17.46 thf(zip_derived_cl256, plain, 132.87/17.46 (![X3 : mworld, X6 : $i, X7 : $i]: 132.87/17.46 (~ ('#form2' @ X3 @ X6 @ X7) 132.87/17.46 | (((!!) @ (^[Y0 : mworld]: 132.87/17.46 (((mrel @ X3 @ Y0) => (qmltpeq @ X6 @ X7 @ Y0)))))))), 132.87/17.46 define([status(thm)])). 132.87/17.46 thf(transitivity, axiom, 132.87/17.46 (mlocal @ 132.87/17.46 ( mbox @ 132.87/17.46 ( mforall_di @ 132.87/17.46 ( ^[X:$i]: 132.87/17.46 ( mbox @ 132.87/17.46 ( mforall_di @ 132.87/17.46 ( ^[Y:$i]: 132.87/17.46 ( mbox @ 132.87/17.46 ( mforall_di @ 132.87/17.46 ( ^[Z:$i]: 132.87/17.46 ( mbox @ 132.87/17.46 ( mimplies @ 132.87/17.46 ( mand @ 132.87/17.46 ( mbox @ ( qmltpeq @ X @ Y ) ) @ 132.87/17.46 ( mbox @ ( qmltpeq @ Y @ Z ) ) ) @ 132.87/17.46 ( mbox @ ( qmltpeq @ X @ Z ) ) ) ) ) ) ) ) ) ) ) ) ))). 132.87/17.46 thf(zip_derived_cl6, plain, 132.87/17.46 ( (mlocal @ 132.87/17.46 (mbox @ 132.87/17.46 (mforall_di @ 132.87/17.46 (^[Y0 : $i]: 132.87/17.46 (mbox @ 132.87/17.46 (mforall_di @ 132.87/17.46 (^[Y1 : $i]: 132.87/17.46 (mbox @ 132.87/17.46 (mforall_di @ 132.87/17.46 (^[Y2 : $i]: 132.87/17.46 (mbox @ 132.87/17.46 (mimplies @ 132.87/17.46 (mand @ (mbox @ (qmltpeq @ Y0 @ Y1)) @ 132.87/17.46 (mbox @ (qmltpeq @ Y1 @ Y2))) @ 132.87/17.46 (mbox @ (qmltpeq @ Y0 @ Y2))))))))))))))), 132.87/17.46 inference('cnf', [status(esa)], [transitivity])). 132.87/17.46 thf(zip_derived_cl156, plain, 132.87/17.46 ( (mbox @ 132.87/17.46 (mforall_di @ 132.87/17.46 (^[Y0 : $i]: 132.87/17.46 (mbox @ 132.87/17.46 (mforall_di @ 132.87/17.46 (^[Y1 : $i]: 132.87/17.46 (mbox @ 132.87/17.46 (mforall_di @ 132.87/17.46 (^[Y2 : $i]: 132.87/17.46 (mbox @ 132.87/17.46 (mimplies @ 132.87/17.46 (mand @ (mbox @ (qmltpeq @ Y0 @ Y1)) @ 132.87/17.46 (mbox @ (qmltpeq @ Y1 @ Y2))) @ 132.87/17.46 (mbox @ (qmltpeq @ Y0 @ Y2)))))))))))) @ 132.87/17.46 mactual)), 132.87/17.46 inference('rw', [status(thm)], [zip_derived_cl6, '0'])). 132.87/17.46 thf(zip_derived_cl157, plain, 132.87/17.46 ( (((!!) @ (^[Y0 : mworld]: 132.87/17.46 (((mrel @ mactual @ Y0) => (mforall_di @ 132.87/17.46 (^[Y1 : $i]: 132.87/17.46 (mbox @ 132.87/17.46 (mforall_di @ 132.87/17.46 (^[Y2 : $i]: 132.87/17.46 (mbox @ 132.87/17.46 (mforall_di @ 132.87/17.46 (^[Y3 : $i]: 132.87/17.46 (mbox @ 132.87/17.46 (mimplies @ 132.87/17.46 (mand @ (mbox @ (qmltpeq @ Y1 @ Y2)) @ 132.87/17.46 (mbox @ (qmltpeq @ Y2 @ Y3))) @ 132.87/17.46 (mbox @ (qmltpeq @ Y1 @ Y3))))))))))) @ 132.87/17.46 Y0))))))), 132.87/17.46 inference('rw_clause', [status(thm)], [zip_derived_cl156, '4'])). 132.87/17.46 thf(zip_derived_cl158, plain, 132.87/17.46 (![X2 : mworld]: 132.87/17.46 (((mrel @ mactual @ X2) => (mforall_di @ 132.87/17.46 (^[Y0 : $i]: 132.87/17.46 (mbox @ 132.87/17.46 (mforall_di @ 132.87/17.46 (^[Y1 : $i]: 132.87/17.46 (mbox @ 132.87/17.46 (mforall_di @ 132.87/17.46 (^[Y2 : $i]: 132.87/17.46 (mbox @ 132.87/17.46 (mimplies @ 132.87/17.46 (mand @ (mbox @ (qmltpeq @ Y0 @ Y1)) @ 132.87/17.46 (mbox @ (qmltpeq @ Y1 @ Y2))) @ 132.87/17.46 (mbox @ (qmltpeq @ Y0 @ Y2))))))))))) @ 132.87/17.46 X2)))), 132.87/17.46 inference('lazy_cnf_forall', [status(thm)], [zip_derived_cl157])). 132.87/17.46 thf(zip_derived_cl159, plain, 132.87/17.46 (![X2 : mworld]: 132.87/17.46 (~ (mrel @ mactual @ X2) 132.87/17.46 | (mforall_di @ 132.87/17.46 (^[Y0 : $i]: 132.87/17.46 (mbox @ 132.87/17.46 (mforall_di @ 132.87/17.46 (^[Y1 : $i]: 132.87/17.46 (mbox @ 132.87/17.46 (mforall_di @ 132.87/17.46 (^[Y2 : $i]: 132.87/17.46 (mbox @ 132.87/17.46 (mimplies @ 132.87/17.46 (mand @ (mbox @ (qmltpeq @ Y0 @ Y1)) @ 132.87/17.46 (mbox @ (qmltpeq @ Y1 @ Y2))) @ 132.87/17.46 (mbox @ (qmltpeq @ Y0 @ Y2))))))))))) @ 132.87/17.46 X2))), 132.87/17.46 inference('lazy_cnf_imply', [status(thm)], [zip_derived_cl158])). 132.87/17.46 thf(mforall_di_def, axiom, (mforall_di @ X0 @ X1) => 132.87/17.46 ((((!!) @ (^[Y0 : $i]: (X0 @ Y0 @ X1)))) = ($true))). 132.87/17.46 thf('8', plain, 132.87/17.46 (![X0:( $i > mworld > $o ),X1:mworld]: 132.87/17.46 ( ( mforall_di @ X0 @ X1 ) <=> ( ![X6:$i]: ( X0 @ X6 @ X1 ) ) )), 132.87/17.46 inference('rw.lit', [status(esa)], [mforall_di_def])). 132.87/17.46 thf(zip_derived_cl160, plain, 132.87/17.46 (![X0 : mworld]: 132.87/17.46 ( (((!!) @ (^[Y0 : $i]: 132.87/17.46 ((^[Y1 : $i]: 132.87/17.46 (mbox @ 132.87/17.46 (mforall_di @ 132.87/17.46 (^[Y2 : $i]: 132.87/17.46 (mbox @ 132.87/17.46 (mforall_di @ 132.87/17.46 (^[Y3 : $i]: 132.87/17.46 (mbox @ 132.87/17.46 (mimplies @ 132.87/17.46 (mand @ (mbox @ (qmltpeq @ Y1 @ Y2)) @ 132.87/17.46 (mbox @ (qmltpeq @ Y2 @ Y3))) @ 132.87/17.46 (mbox @ (qmltpeq @ Y1 @ Y3))))))))))) @ 132.87/17.46 Y0 @ X0)))) 132.87/17.46 | ~ (mrel @ mactual @ X0))), 132.87/17.46 inference('rw_clause', [status(thm)], [zip_derived_cl159, '8'])). 132.87/17.46 thf(zip_derived_cl161, plain, 132.87/17.46 (![X0 : mworld]: 132.87/17.46 ( (((!!) @ (^[Y0 : $i]: 132.87/17.46 (mbox @ 132.87/17.46 (mforall_di @ 132.87/17.46 (^[Y1 : $i]: 132.87/17.46 (mbox @ 132.87/17.46 (mforall_di @ 132.87/17.46 (^[Y2 : $i]: 132.87/17.46 (mbox @ 132.87/17.46 (mimplies @ 132.87/17.46 (mand @ (mbox @ (qmltpeq @ Y0 @ Y1)) @ 132.87/17.46 (mbox @ (qmltpeq @ Y1 @ Y2))) @ 132.87/17.46 (mbox @ (qmltpeq @ Y0 @ Y2))))))))) @ 132.87/17.46 X0)))) 132.87/17.46 | ~ (mrel @ mactual @ X0))), 132.87/17.46 inference('ho_norm', [status(thm)], [zip_derived_cl160])). 132.87/17.46 thf(zip_derived_cl162, plain, 132.87/17.46 (![X0 : mworld, X2 : $i]: 132.87/17.46 ( (mbox @ 132.87/17.46 (mforall_di @ 132.87/17.46 (^[Y0 : $i]: 132.87/17.46 (mbox @ 132.87/17.46 (mforall_di @ 132.87/17.46 (^[Y1 : $i]: 132.87/17.46 (mbox @ 132.87/17.46 (mimplies @ 132.87/17.46 (mand @ (mbox @ (qmltpeq @ X2 @ Y0)) @ 132.87/17.46 (mbox @ (qmltpeq @ Y0 @ Y1))) @ 132.87/17.46 (mbox @ (qmltpeq @ X2 @ Y1))))))))) @ 132.87/17.46 X0) 132.87/17.46 | ~ (mrel @ mactual @ X0))), 132.87/17.46 inference('lazy_cnf_forall', [status(thm)], [zip_derived_cl161])). 132.87/17.46 thf(zip_derived_cl163, plain, 132.87/17.46 (![X0 : mworld, X1 : $i]: 132.87/17.46 ( (((!!) @ (^[Y0 : mworld]: 132.87/17.46 (((mrel @ X0 @ Y0) => (mforall_di @ 132.87/17.46 (^[Y1 : $i]: 132.87/17.46 (mbox @ 132.87/17.46 (mforall_di @ 132.87/17.46 (^[Y2 : $i]: 132.87/17.46 (mbox @ 132.87/17.46 (mimplies @ 132.87/17.46 (mand @ (mbox @ (qmltpeq @ X1 @ Y1)) @ 132.87/17.46 (mbox @ (qmltpeq @ Y1 @ Y2))) @ 132.87/17.46 (mbox @ (qmltpeq @ X1 @ Y2)))))))) @ 132.87/17.46 Y0)))))) 132.87/17.46 | ~ (mrel @ mactual @ X0))), 132.87/17.46 inference('rw_clause', [status(thm)], [zip_derived_cl162, '4'])). 132.87/17.46 thf(zip_derived_cl164, plain, 132.87/17.46 (![X0 : mworld, X1 : $i, X3 : mworld]: 132.87/17.46 ( (((mrel @ X0 @ X3) => (mforall_di @ 132.87/17.46 (^[Y0 : $i]: 132.87/17.46 (mbox @ 132.87/17.46 (mforall_di @ 132.87/17.46 (^[Y1 : $i]: 132.87/17.46 (mbox @ 132.87/17.46 (mimplies @ 132.87/17.46 (mand @ (mbox @ (qmltpeq @ X1 @ Y0)) @ 132.87/17.46 (mbox @ (qmltpeq @ Y0 @ Y1))) @ 132.87/17.46 (mbox @ (qmltpeq @ X1 @ Y1)))))))) @ 132.87/17.46 X3))) 132.87/17.46 | ~ (mrel @ mactual @ X0))), 132.87/17.46 inference('lazy_cnf_forall', [status(thm)], [zip_derived_cl163])). 132.87/17.46 thf(zip_derived_cl165, plain, 132.87/17.46 (![X0 : mworld, X1 : $i, X3 : mworld]: 132.87/17.46 (~ (mrel @ X0 @ X3) 132.87/17.46 | (mforall_di @ 132.87/17.46 (^[Y0 : $i]: 132.87/17.46 (mbox @ 132.87/17.46 (mforall_di @ 132.87/17.46 (^[Y1 : $i]: 132.87/17.46 (mbox @ 132.87/17.46 (mimplies @ 132.87/17.46 (mand @ (mbox @ (qmltpeq @ X1 @ Y0)) @ 132.87/17.46 (mbox @ (qmltpeq @ Y0 @ Y1))) @ 132.87/17.46 (mbox @ (qmltpeq @ X1 @ Y1)))))))) @ 132.87/17.46 X3) 132.87/17.46 | ~ (mrel @ mactual @ X0))), 132.87/17.46 inference('lazy_cnf_imply', [status(thm)], [zip_derived_cl164])). 132.87/17.46 thf(zip_derived_cl166, plain, 132.87/17.46 (![X0 : mworld, X1 : mworld, X2 : $i]: 132.87/17.46 ( (((!!) @ (^[Y0 : $i]: 132.87/17.46 ((^[Y1 : $i]: 132.87/17.46 (mbox @ 132.87/17.46 (mforall_di @ 132.87/17.46 (^[Y2 : $i]: 132.87/17.46 (mbox @ 132.87/17.46 (mimplies @ 132.87/17.46 (mand @ (mbox @ (qmltpeq @ X2 @ Y1)) @ 132.87/17.46 (mbox @ (qmltpeq @ Y1 @ Y2))) @ 132.87/17.46 (mbox @ (qmltpeq @ X2 @ Y2)))))))) @ 132.87/17.46 Y0 @ X1)))) 132.87/17.46 | ~ (mrel @ mactual @ X0) 132.87/17.46 | ~ (mrel @ X0 @ X1))), 132.87/17.46 inference('rw_clause', [status(thm)], [zip_derived_cl165, '8'])). 132.87/17.46 thf(zip_derived_cl167, plain, 132.87/17.46 (![X0 : mworld, X1 : mworld, X2 : $i]: 132.87/17.46 ( (((!!) @ (^[Y0 : $i]: 132.87/17.46 (mbox @ 132.87/17.46 (mforall_di @ 132.87/17.46 (^[Y1 : $i]: 132.87/17.46 (mbox @ 132.87/17.46 (mimplies @ 132.87/17.46 (mand @ (mbox @ (qmltpeq @ X2 @ Y0)) @ 132.87/17.46 (mbox @ (qmltpeq @ Y0 @ Y1))) @ 132.87/17.46 (mbox @ (qmltpeq @ X2 @ Y1)))))) @ 132.87/17.46 X1)))) 132.87/17.46 | ~ (mrel @ mactual @ X0) 132.87/17.46 | ~ (mrel @ X0 @ X1))), 132.87/17.46 inference('ho_norm', [status(thm)], [zip_derived_cl166])). 132.87/17.46 thf(zip_derived_cl168, plain, 132.87/17.46 (![X0 : mworld, X1 : mworld, X2 : $i, X4 : $i]: 132.87/17.46 ( (mbox @ 132.87/17.46 (mforall_di @ 132.87/17.46 (^[Y0 : $i]: 132.87/17.46 (mbox @ 132.87/17.46 (mimplies @ 132.87/17.46 (mand @ (mbox @ (qmltpeq @ X2 @ X4)) @ 132.87/17.46 (mbox @ (qmltpeq @ X4 @ Y0))) @ 132.87/17.46 (mbox @ (qmltpeq @ X2 @ Y0)))))) @ 132.87/17.46 X1) 132.87/17.46 | ~ (mrel @ X0 @ X1) 132.87/17.46 | ~ (mrel @ mactual @ X0))), 132.87/17.46 inference('lazy_cnf_forall', [status(thm)], [zip_derived_cl167])). 132.87/17.46 thf(zip_derived_cl169, plain, 132.87/17.46 (![X0 : mworld, X1 : mworld, X2 : $i, X3 : $i]: 132.87/17.46 ( (((!!) @ (^[Y0 : mworld]: 132.87/17.46 (((mrel @ X1 @ Y0) => (mforall_di @ 132.87/17.46 (^[Y1 : $i]: 132.87/17.46 (mbox @ 132.87/17.46 (mimplies @ 132.87/17.46 (mand @ (mbox @ (qmltpeq @ X2 @ X3)) @ 132.87/17.46 (mbox @ (qmltpeq @ X3 @ Y1))) @ 132.87/17.46 (mbox @ (qmltpeq @ X2 @ Y1))))) @ 132.87/17.46 Y0)))))) 132.87/17.46 | ~ (mrel @ mactual @ X0) 132.87/17.46 | ~ (mrel @ X0 @ X1))), 132.87/17.46 inference('rw_clause', [status(thm)], [zip_derived_cl168, '4'])). 132.87/17.46 thf(zip_derived_cl170, plain, 132.87/17.46 (![X0 : mworld, X1 : mworld, X2 : $i, X3 : $i, X5 : mworld]: 132.87/17.46 ( (((mrel @ X1 @ X5) => (mforall_di @ 132.87/17.46 (^[Y0 : $i]: 132.87/17.46 (mbox @ 132.87/17.46 (mimplies @ 132.87/17.46 (mand @ (mbox @ (qmltpeq @ X2 @ X3)) @ 132.87/17.46 (mbox @ (qmltpeq @ X3 @ Y0))) @ 132.87/17.46 (mbox @ (qmltpeq @ X2 @ Y0))))) @ 132.87/17.46 X5))) 132.87/17.46 | ~ (mrel @ X0 @ X1) 132.87/17.46 | ~ (mrel @ mactual @ X0))), 132.87/17.46 inference('lazy_cnf_forall', [status(thm)], [zip_derived_cl169])). 132.87/17.46 thf(zip_derived_cl171, plain, 132.87/17.46 (![X0 : mworld, X1 : mworld, X2 : $i, X3 : $i, X5 : mworld]: 132.87/17.46 (~ (mrel @ X1 @ X5) 132.87/17.46 | (mforall_di @ 132.87/17.46 (^[Y0 : $i]: 132.87/17.46 (mbox @ 132.87/17.46 (mimplies @ 132.87/17.46 (mand @ (mbox @ (qmltpeq @ X2 @ X3)) @ 132.87/17.46 (mbox @ (qmltpeq @ X3 @ Y0))) @ 132.87/17.46 (mbox @ (qmltpeq @ X2 @ Y0))))) @ 132.87/17.46 X5) 132.87/17.46 | ~ (mrel @ mactual @ X0) 132.87/17.46 | ~ (mrel @ X0 @ X1))), 132.87/17.46 inference('lazy_cnf_imply', [status(thm)], [zip_derived_cl170])). 132.87/17.46 thf(zip_derived_cl172, plain, 132.87/17.46 (![X0 : mworld, X1 : mworld, X2 : mworld, X3 : $i, X4 : $i]: 132.87/17.46 ( (((!!) @ (^[Y0 : $i]: 132.87/17.46 ((^[Y1 : $i]: 132.87/17.46 (mbox @ 132.87/17.46 (mimplies @ 132.87/17.46 (mand @ (mbox @ (qmltpeq @ X3 @ X4)) @ 132.87/17.46 (mbox @ (qmltpeq @ X4 @ Y1))) @ 132.87/17.46 (mbox @ (qmltpeq @ X3 @ Y1))))) @ 132.87/17.46 Y0 @ X2)))) 132.87/17.46 | ~ (mrel @ X1 @ X0) 132.87/17.46 | ~ (mrel @ mactual @ X1) 132.87/17.46 | ~ (mrel @ X0 @ X2))), 132.87/17.46 inference('rw_clause', [status(thm)], [zip_derived_cl171, '8'])). 132.87/17.46 thf(zip_derived_cl173, plain, 132.87/17.46 (![X0 : mworld, X1 : mworld, X2 : mworld, X3 : $i, X4 : $i]: 132.87/17.46 ( (((!!) @ (^[Y0 : $i]: 132.87/17.46 (mbox @ 132.87/17.46 (mimplies @ 132.87/17.46 (mand @ (mbox @ (qmltpeq @ X3 @ X4)) @ 132.87/17.46 (mbox @ (qmltpeq @ X4 @ Y0))) @ 132.87/17.46 (mbox @ (qmltpeq @ X3 @ Y0))) @ 132.87/17.46 X2)))) 132.87/17.46 | ~ (mrel @ X1 @ X0) 132.87/17.46 | ~ (mrel @ mactual @ X1) 132.87/17.46 | ~ (mrel @ X0 @ X2))), 132.87/17.46 inference('ho_norm', [status(thm)], [zip_derived_cl172])). 132.87/17.46 thf(zip_derived_cl174, plain, 132.87/17.46 (![X0 : mworld, X1 : mworld, X2 : mworld, X3 : $i, X4 : $i, X6 : $i]: 132.87/17.46 ( (mbox @ 132.87/17.46 (mimplies @ 132.87/17.46 (mand @ (mbox @ (qmltpeq @ X3 @ X4)) @ 132.87/17.46 (mbox @ (qmltpeq @ X4 @ X6))) @ 132.87/17.46 (mbox @ (qmltpeq @ X3 @ X6))) @ 132.87/17.46 X2) 132.87/17.46 | ~ (mrel @ X0 @ X2) 132.87/17.46 | ~ (mrel @ mactual @ X1) 132.87/17.46 | ~ (mrel @ X1 @ X0))), 132.87/17.46 inference('lazy_cnf_forall', [status(thm)], [zip_derived_cl173])). 132.87/17.46 thf(zip_derived_cl175, plain, 132.87/17.46 (![X0 : mworld, X1 : mworld, X2 : mworld, X3 : $i, X4 : $i, X5 : $i]: 132.87/17.46 ( (((!!) @ (^[Y0 : mworld]: 132.87/17.46 (((mrel @ X2 @ Y0) => (mimplies @ 132.87/17.46 (mand @ (mbox @ (qmltpeq @ X4 @ X5)) @ 132.87/17.46 (mbox @ (qmltpeq @ X5 @ X3))) @ 132.87/17.46 (mbox @ (qmltpeq @ X4 @ X3)) @ Y0)))))) 132.87/17.46 | ~ (mrel @ X1 @ X0) 132.87/17.46 | ~ (mrel @ mactual @ X1) 132.87/17.46 | ~ (mrel @ X0 @ X2))), 132.87/17.46 inference('rw_clause', [status(thm)], [zip_derived_cl174, '4'])). 132.87/17.46 thf(zip_derived_cl176, plain, 132.87/17.46 (![X0 : mworld, X1 : mworld, X2 : mworld, X3 : $i, X4 : $i, X5 : $i, 132.87/17.46 X7 : mworld]: 132.87/17.46 ( (((mrel @ X2 @ X7) => (mimplies @ 132.87/17.46 (mand @ (mbox @ (qmltpeq @ X4 @ X5)) @ 132.87/17.46 (mbox @ (qmltpeq @ X5 @ X3))) @ 132.87/17.46 (mbox @ (qmltpeq @ X4 @ X3)) @ X7))) 132.87/17.46 | ~ (mrel @ X0 @ X2) 132.87/17.46 | ~ (mrel @ mactual @ X1) 132.87/17.46 | ~ (mrel @ X1 @ X0))), 132.87/17.46 inference('lazy_cnf_forall', [status(thm)], [zip_derived_cl175])). 132.87/17.46 thf(zip_derived_cl177, plain, 132.87/17.46 (![X0 : mworld, X1 : mworld, X2 : mworld, X3 : $i, X4 : $i, X5 : $i, 132.87/17.46 X7 : mworld]: 132.87/17.46 (~ (mrel @ X2 @ X7) 132.87/17.46 | (mimplies @ 132.87/17.46 (mand @ (mbox @ (qmltpeq @ X4 @ X5)) @ 132.87/17.46 (mbox @ (qmltpeq @ X5 @ X3))) @ 132.87/17.46 (mbox @ (qmltpeq @ X4 @ X3)) @ X7) 132.87/17.46 | ~ (mrel @ X1 @ X0) 132.87/17.46 | ~ (mrel @ mactual @ X1) 132.87/17.46 | ~ (mrel @ X0 @ X2))), 132.87/17.46 inference('lazy_cnf_imply', [status(thm)], [zip_derived_cl176])). 132.87/17.46 thf(mimplies_def, axiom, (mimplies @ X0 @ X1 @ X2) => 132.87/17.46 ((((X0 @ X2) => (X1 @ X2))) = ($true))). 132.87/17.46 thf('9', plain, 132.87/17.46 (![X0:( mworld > $o ),X1:( mworld > $o ),X2:mworld]: 132.87/17.46 ( ( mimplies @ X0 @ X1 @ X2 ) <=> ( ( X0 @ X2 ) => ( X1 @ X2 ) ) )), 132.87/17.46 inference('rw.lit', [status(esa)], [mimplies_def])). 132.87/17.46 thf(zip_derived_cl178, plain, 132.87/17.46 (![X0 : mworld, X1 : mworld, X2 : mworld, X3 : mworld, X4 : $i, X5 : $i, 132.87/17.46 X6 : $i]: 132.87/17.46 ( (((mand @ (mbox @ (qmltpeq @ X5 @ X6)) @ 132.87/17.46 (mbox @ (qmltpeq @ X6 @ X4)) @ X3) => (mbox @ 132.87/17.46 (qmltpeq @ X5 @ X4) @ X3))) 132.87/17.46 | ~ (mrel @ X1 @ X0) 132.87/17.46 | ~ (mrel @ mactual @ X2) 132.87/17.46 | ~ (mrel @ X2 @ X1) 132.87/17.46 | ~ (mrel @ X0 @ X3))), 132.87/17.46 inference('rw_clause', [status(thm)], [zip_derived_cl177, '9'])). 132.87/17.46 thf(zip_derived_cl179, plain, 132.87/17.46 (![X0 : mworld, X1 : mworld, X2 : mworld, X3 : mworld, X4 : $i, X5 : $i, 132.87/17.46 X6 : $i]: 132.87/17.46 (~ (mand @ (mbox @ (qmltpeq @ X5 @ X6)) @ 132.87/17.46 (mbox @ (qmltpeq @ X6 @ X4)) @ X3) 132.87/17.46 | (mbox @ (qmltpeq @ X5 @ X4) @ X3) 132.87/17.46 | ~ (mrel @ X0 @ X3) 132.87/17.46 | ~ (mrel @ X2 @ X1) 132.87/17.46 | ~ (mrel @ mactual @ X2) 132.87/17.46 | ~ (mrel @ X1 @ X0))), 132.87/17.46 inference('lazy_cnf_imply', [status(thm)], [zip_derived_cl178])). 132.87/17.46 thf(zip_derived_cl180, plain, 132.87/17.46 (![X0 : mworld, X1 : mworld, X2 : mworld, X3 : mworld, X4 : $i, X5 : $i, 132.87/17.46 X6 : $i]: 132.87/17.46 (~ (((mbox @ (qmltpeq @ X5 @ X6) @ X3) & (mbox @ 132.87/17.46 (qmltpeq @ X6 @ X4) @ X3))) 132.87/17.46 | ~ (mrel @ X1 @ X0) 132.87/17.46 | ~ (mrel @ mactual @ X2) 132.87/17.46 | ~ (mrel @ X2 @ X1) 132.87/17.46 | ~ (mrel @ X0 @ X3) 132.87/17.46 | (mbox @ (qmltpeq @ X5 @ X4) @ X3))), 132.87/17.46 inference('rw_clause', [status(thm)], [zip_derived_cl179, '7'])). 132.87/17.46 thf(zip_derived_cl181, plain, 132.87/17.46 (![X0 : mworld, X1 : mworld, X2 : mworld, X3 : mworld, X4 : $i, X5 : $i, 132.87/17.46 X6 : $i]: 132.87/17.46 ( (((!!) @ (^[Y0 : mworld]: 132.87/17.46 (((mrel @ X0 @ Y0) => (qmltpeq @ X6 @ X4 @ Y0)))))) 132.87/17.46 | ~ (mrel @ X1 @ X0) 132.87/17.46 | ~ (mrel @ X3 @ X2) 132.87/17.46 | ~ (mrel @ mactual @ X3) 132.87/17.46 | ~ (mrel @ X2 @ X1) 132.87/17.46 | ~ (((mbox @ (qmltpeq @ X6 @ X5) @ X0) & (mbox @ 132.87/17.46 (qmltpeq @ X5 @ X4) @ X0))))), 132.87/17.46 inference('rw_clause', [status(thm)], [zip_derived_cl180, '4'])). 132.87/17.46 thf(zip_derived_cl182, plain, 132.87/17.46 (![X0 : mworld, X1 : mworld, X2 : mworld, X3 : mworld, X4 : $i, X5 : $i, 132.87/17.46 X6 : $i, X8 : mworld]: 132.87/17.46 ( (((mrel @ X0 @ X8) => (qmltpeq @ X6 @ X4 @ X8))) 132.87/17.46 | ~ (((mbox @ (qmltpeq @ X6 @ X5) @ X0) & (mbox @ 132.87/17.46 (qmltpeq @ X5 @ X4) @ X0))) 132.87/17.46 | ~ (mrel @ X2 @ X1) 132.87/17.46 | ~ (mrel @ mactual @ X3) 132.87/17.46 | ~ (mrel @ X3 @ X2) 132.87/17.46 | ~ (mrel @ X1 @ X0))), 132.87/17.46 inference('lazy_cnf_forall', [status(thm)], [zip_derived_cl181])). 132.87/17.46 thf(zip_derived_cl183, plain, 132.87/17.46 (![X0 : mworld, X1 : mworld, X2 : mworld, X3 : mworld, X4 : $i, X5 : $i, 132.87/17.46 X6 : $i, X8 : mworld]: 132.87/17.46 (~ (mrel @ X0 @ X8) 132.87/17.46 | (qmltpeq @ X6 @ X4 @ X8) 132.87/17.46 | ~ (mrel @ X1 @ X0) 132.87/17.46 | ~ (mrel @ X3 @ X2) 132.87/17.46 | ~ (mrel @ mactual @ X3) 132.87/17.46 | ~ (mrel @ X2 @ X1) 132.87/17.46 | ~ (((mbox @ (qmltpeq @ X6 @ X5) @ X0) & (mbox @ 132.87/17.46 (qmltpeq @ X5 @ X4) @ X0))))), 132.87/17.46 inference('lazy_cnf_imply', [status(thm)], [zip_derived_cl182])). 132.87/17.46 thf(zip_derived_cl184, plain, 132.87/17.46 (![X0 : mworld, X1 : mworld, X2 : mworld, X3 : mworld, X4 : $i, X5 : $i, 132.87/17.46 X6 : $i, X8 : mworld]: 132.87/17.46 (~ (mbox @ (qmltpeq @ X6 @ X5) @ X0) 132.87/17.46 | ~ (mbox @ (qmltpeq @ X5 @ X4) @ X0) 132.87/17.46 | ~ (mrel @ X2 @ X1) 132.87/17.46 | ~ (mrel @ mactual @ X3) 132.87/17.46 | ~ (mrel @ X3 @ X2) 132.87/17.46 | ~ (mrel @ X1 @ X0) 132.87/17.46 | (qmltpeq @ X6 @ X4 @ X8) 132.87/17.46 | ~ (mrel @ X0 @ X8))), 132.87/17.46 inference('lazy_cnf_and', [status(thm)], [zip_derived_cl183])). 132.87/17.46 thf(zip_derived_cl185, plain, 132.87/17.46 (![X0 : mworld, X1 : mworld, X2 : $i, X3 : $i, X4 : mworld, X5 : mworld, 132.87/17.46 X6 : mworld, X7 : $i]: 132.87/17.46 (~ (((!!) @ (^[Y0 : mworld]: 132.87/17.46 (((mrel @ X1 @ Y0) => (qmltpeq @ X3 @ X7 @ Y0)))))) 132.87/17.46 | ~ (mrel @ X1 @ X0) 132.87/17.46 | (qmltpeq @ X3 @ X2 @ X0) 132.87/17.46 | ~ (mrel @ X4 @ X1) 132.87/17.46 | ~ (mrel @ X6 @ X5) 132.87/17.46 | ~ (mrel @ mactual @ X6) 132.87/17.46 | ~ (mrel @ X5 @ X4) 132.87/17.46 | ~ (mbox @ (qmltpeq @ X7 @ X2) @ X1))), 132.87/17.46 inference('rw_clause', [status(thm)], [zip_derived_cl184, '1'])). 132.87/17.46 thf(zip_derived_cl186, plain, 132.87/17.46 (![X0 : mworld, X1 : mworld, X2 : mworld, X3 : mworld, X4 : mworld, 132.87/17.46 X5 : $i, X6 : $i, X7 : $i]: 132.87/17.46 (~ (((!!) @ (^[Y0 : mworld]: 132.87/17.46 (((mrel @ X3 @ Y0) => (qmltpeq @ X7 @ X5 @ Y0)))))) 132.87/17.46 | ~ (mrel @ X1 @ X0) 132.87/17.46 | ~ (mrel @ mactual @ X2) 132.87/17.46 | ~ (mrel @ X2 @ X1) 132.87/17.46 | ~ (mrel @ X0 @ X3) 132.87/17.46 | (qmltpeq @ X6 @ X5 @ X4) 132.87/17.46 | ~ (mrel @ X3 @ X4) 132.87/17.46 | ~ (((!!) @ (^[Y0 : mworld]: 132.87/17.46 (((mrel @ X3 @ Y0) => (qmltpeq @ X6 @ X7 @ Y0)))))))), 132.87/17.46 inference('rw_clause', [status(thm)], [zip_derived_cl185, '1'])). 132.87/17.46 thf(zip_derived_cl187, plain, 132.87/17.46 (![X0 : mworld, X1 : mworld, X2 : mworld, X3 : mworld, X4 : mworld, 132.87/17.46 X5 : $i, X6 : $i, X7 : $i]: 132.87/17.46 (~ (((mrel @ X3 @ ('#sk1' @ X3 @ X5 @ X7)) => (qmltpeq @ X7 @ X5 @ 132.87/17.46 ('#sk1' @ X3 @ X5 @ X7)))) 132.87/17.46 | ~ (((!!) @ (^[Y0 : mworld]: 132.87/17.46 (((mrel @ X3 @ Y0) => (qmltpeq @ X6 @ X7 @ Y0)))))) 132.87/17.46 | ~ (mrel @ X3 @ X4) 132.87/17.46 | (qmltpeq @ X6 @ X5 @ X4) 132.87/17.46 | ~ (mrel @ X0 @ X3) 132.87/17.46 | ~ (mrel @ X2 @ X1) 132.87/17.46 | ~ (mrel @ mactual @ X2) 132.87/17.46 | ~ (mrel @ X1 @ X0))), 132.87/17.46 inference('lazy_cnf_exists', [status(thm)], [zip_derived_cl186])). 132.87/17.46 thf(zip_derived_cl188, plain, 132.87/17.46 (![X0 : mworld, X1 : mworld, X2 : mworld, X3 : mworld, X4 : mworld, 132.87/17.46 X5 : $i, X6 : $i, X7 : $i]: 132.87/17.46 ( (mrel @ X3 @ ('#sk1' @ X3 @ X5 @ X7)) 132.87/17.46 | ~ (mrel @ X1 @ X0) 132.87/17.46 | ~ (mrel @ mactual @ X2) 132.87/17.46 | ~ (mrel @ X2 @ X1) 132.87/17.46 | ~ (mrel @ X0 @ X3) 132.87/17.46 | (qmltpeq @ X6 @ X5 @ X4) 132.87/17.46 | ~ (mrel @ X3 @ X4) 132.87/17.46 | ~ (((!!) @ (^[Y0 : mworld]: 132.87/17.46 (((mrel @ X3 @ Y0) => (qmltpeq @ X6 @ X7 @ Y0)))))))), 132.87/17.46 inference('lazy_cnf_imply', [status(thm)], [zip_derived_cl187])). 132.87/17.46 thf(zip_derived_cl190, plain, 132.87/17.46 (![X3 : mworld, X6 : $i, X7 : $i]: 132.87/17.46 ( ('#form2' @ X3 @ X6 @ X7) 132.87/17.46 | ~ (((!!) @ (^[Y0 : mworld]: 132.87/17.46 (((mrel @ X3 @ Y0) => (qmltpeq @ X6 @ X7 @ Y0)))))))), 132.87/17.46 define([status(thm)])). 132.87/17.46 thf(zip_derived_cl879, plain, 132.87/17.46 (![X0 : mworld]: 132.87/17.46 (~ ('#form2' @ X0 @ (op @ e0 @ e0) @ e3) 132.87/17.46 | ~ (mand @ (mbox @ (qmltpeq @ (op @ e1 @ e1) @ e3)) @ 132.87/17.46 (mand @ (mbox @ (qmltpeq @ (op @ e2 @ e2) @ e3)) @ 132.87/17.46 (mbox @ (qmltpeq @ (op @ e3 @ e3) @ e3))) @ 132.87/17.46 X0) 132.87/17.46 | ~ (mrel @ '#sk3' @ X0))), 132.87/17.46 inference('renaming', [status(thm)], 132.87/17.46 [zip_derived_cl868, zip_derived_cl256, zip_derived_cl190])). 132.87/17.46 thf(zip_derived_cl890, plain, 132.87/17.46 (![X0 : mworld]: 132.87/17.46 (~ (((mbox @ (qmltpeq @ (op @ e1 @ e1) @ e3) @ X0) & (mand @ 132.87/17.46 (mbox @ (qmltpeq @ (op @ e2 @ e2) @ e3)) @ 132.87/17.46 (mbox @ (qmltpeq @ (op @ e3 @ e3) @ e3)) @ X0))) 132.87/17.46 | ~ (mrel @ '#sk3' @ X0) 132.87/17.46 | ~ ('#form2' @ X0 @ (op @ e0 @ e0) @ e3))), 132.87/17.46 inference('rw_clause', [status(thm)], [zip_derived_cl879, '7'])). 132.87/17.46 thf(zip_derived_cl905, plain, 132.87/17.46 (![X0 : mworld]: 132.87/17.46 (~ (mbox @ (qmltpeq @ (op @ e1 @ e1) @ e3) @ X0) 132.87/17.46 | ~ (mand @ (mbox @ (qmltpeq @ (op @ e2 @ e2) @ e3)) @ 132.87/17.46 (mbox @ (qmltpeq @ (op @ e3 @ e3) @ e3)) @ X0) 132.87/17.46 | ~ ('#form2' @ X0 @ (op @ e0 @ e0) @ e3) 132.87/17.46 | ~ (mrel @ '#sk3' @ X0))), 132.87/17.46 inference('lazy_cnf_and', [status(thm)], [zip_derived_cl890])). 132.87/17.46 thf(zip_derived_cl920, plain, 132.87/17.46 (![X0 : mworld]: 132.87/17.46 (~ (((!!) @ (^[Y0 : mworld]: 132.87/17.46 (((mrel @ X0 @ Y0) => (qmltpeq @ (op @ e1 @ e1) @ e3 @ 132.87/17.46 Y0)))))) 132.87/17.46 | ~ (mrel @ '#sk3' @ X0) 132.87/17.46 | ~ ('#form2' @ X0 @ (op @ e0 @ e0) @ e3) 132.87/17.46 | ~ (mand @ (mbox @ (qmltpeq @ (op @ e2 @ e2) @ e3)) @ 132.87/17.46 (mbox @ (qmltpeq @ (op @ e3 @ e3) @ e3)) @ X0))), 132.87/17.46 inference('rw_clause', [status(thm)], [zip_derived_cl905, '1'])). 132.87/17.46 thf(zip_derived_cl256, plain, 132.87/17.46 (![X3 : mworld, X6 : $i, X7 : $i]: 132.87/17.46 (~ ('#form2' @ X3 @ X6 @ X7) 132.87/17.46 | (((!!) @ (^[Y0 : mworld]: 132.87/17.46 (((mrel @ X3 @ Y0) => (qmltpeq @ X6 @ X7 @ Y0)))))))), 132.87/17.46 define([status(thm)])). 132.87/17.46 thf(zip_derived_cl190, plain, 132.87/17.46 (![X3 : mworld, X6 : $i, X7 : $i]: 132.87/17.46 ( ('#form2' @ X3 @ X6 @ X7) 132.87/17.46 | ~ (((!!) @ (^[Y0 : mworld]: 132.87/17.46 (((mrel @ X3 @ Y0) => (qmltpeq @ X6 @ X7 @ Y0)))))))), 132.87/17.46 define([status(thm)])). 132.87/17.46 thf(zip_derived_cl939, plain, 132.87/17.46 (![X0 : mworld]: 132.87/17.46 (~ ('#form2' @ X0 @ (op @ e1 @ e1) @ e3) 132.87/17.46 | ~ (mand @ (mbox @ (qmltpeq @ (op @ e2 @ e2) @ e3)) @ 132.87/17.46 (mbox @ (qmltpeq @ (op @ e3 @ e3) @ e3)) @ X0) 132.87/17.46 | ~ ('#form2' @ X0 @ (op @ e0 @ e0) @ e3) 132.87/17.46 | ~ (mrel @ '#sk3' @ X0))), 132.87/17.46 inference('renaming', [status(thm)], 132.87/17.46 [zip_derived_cl920, zip_derived_cl256, zip_derived_cl190])). 132.87/17.46 thf(zip_derived_cl961, plain, 132.87/17.46 (![X0 : mworld]: 132.87/17.46 (~ (((mbox @ (qmltpeq @ (op @ e2 @ e2) @ e3) @ X0) & (mbox @ 132.87/17.46 (qmltpeq @ (op @ e3 @ e3) @ e3) @ X0))) 132.87/17.46 | ~ (mrel @ '#sk3' @ X0) 132.87/17.46 | ~ ('#form2' @ X0 @ (op @ e0 @ e0) @ e3) 132.87/17.46 | ~ ('#form2' @ X0 @ (op @ e1 @ e1) @ e3))), 132.87/17.46 inference('rw_clause', [status(thm)], [zip_derived_cl939, '7'])). 132.87/17.46 thf(zip_derived_cl984, plain, 132.87/17.46 (![X0 : mworld]: 132.87/17.46 (~ (mbox @ (qmltpeq @ (op @ e2 @ e2) @ e3) @ X0) 132.87/17.46 | ~ (mbox @ (qmltpeq @ (op @ e3 @ e3) @ e3) @ X0) 132.87/17.46 | ~ ('#form2' @ X0 @ (op @ e1 @ e1) @ e3) 132.87/17.46 | ~ ('#form2' @ X0 @ (op @ e0 @ e0) @ e3) 132.87/17.46 | ~ (mrel @ '#sk3' @ X0))), 132.87/17.46 inference('lazy_cnf_and', [status(thm)], [zip_derived_cl961])). 132.87/17.46 thf(zip_derived_cl1011, plain, 132.87/17.46 (![X0 : mworld]: 132.87/17.46 (~ (((!!) @ (^[Y0 : mworld]: 132.87/17.46 (((mrel @ X0 @ Y0) => (qmltpeq @ (op @ e2 @ e2) @ e3 @ 132.87/17.46 Y0)))))) 132.87/17.46 | ~ (mrel @ '#sk3' @ X0) 132.87/17.46 | ~ ('#form2' @ X0 @ (op @ e0 @ e0) @ e3) 132.87/17.46 | ~ ('#form2' @ X0 @ (op @ e1 @ e1) @ e3) 132.87/17.46 | ~ (mbox @ (qmltpeq @ (op @ e3 @ e3) @ e3) @ X0))), 132.87/17.46 inference('rw_clause', [status(thm)], [zip_derived_cl984, '1'])). 132.87/17.46 thf(zip_derived_cl256, plain, 132.87/17.46 (![X3 : mworld, X6 : $i, X7 : $i]: 132.87/17.46 (~ ('#form2' @ X3 @ X6 @ X7) 132.87/17.46 | (((!!) @ (^[Y0 : mworld]: 132.87/17.46 (((mrel @ X3 @ Y0) => (qmltpeq @ X6 @ X7 @ Y0)))))))), 132.87/17.46 define([status(thm)])). 132.87/17.46 thf(zip_derived_cl190, plain, 132.87/17.46 (![X3 : mworld, X6 : $i, X7 : $i]: 132.87/17.46 ( ('#form2' @ X3 @ X6 @ X7) 132.87/17.46 | ~ (((!!) @ (^[Y0 : mworld]: 132.87/17.46 (((mrel @ X3 @ Y0) => (qmltpeq @ X6 @ X7 @ Y0)))))))), 132.87/17.46 define([status(thm)])). 132.87/17.46 thf(zip_derived_cl1036, plain, 132.87/17.46 (![X0 : mworld]: 132.87/17.46 (~ ('#form2' @ X0 @ (op @ e2 @ e2) @ e3) 132.87/17.46 | ~ (mbox @ (qmltpeq @ (op @ e3 @ e3) @ e3) @ X0) 132.87/17.46 | ~ ('#form2' @ X0 @ (op @ e1 @ e1) @ e3) 132.87/17.46 | ~ ('#form2' @ X0 @ (op @ e0 @ e0) @ e3) 132.87/17.46 | ~ (mrel @ '#sk3' @ X0))), 132.87/17.46 inference('renaming', [status(thm)], 132.87/17.46 [zip_derived_cl1011, zip_derived_cl256, zip_derived_cl190])). 132.87/17.46 thf(zip_derived_cl1069, plain, 132.87/17.46 (![X0 : mworld]: 132.87/17.46 (~ (((!!) @ (^[Y0 : mworld]: 132.87/17.46 (((mrel @ X0 @ Y0) => (qmltpeq @ (op @ e3 @ e3) @ e3 @ 132.87/17.46 Y0)))))) 132.87/17.46 | ~ (mrel @ '#sk3' @ X0) 132.87/17.46 | ~ ('#form2' @ X0 @ (op @ e0 @ e0) @ e3) 132.87/17.46 | ~ ('#form2' @ X0 @ (op @ e1 @ e1) @ e3) 132.87/17.46 | ~ ('#form2' @ X0 @ (op @ e2 @ e2) @ e3))), 132.87/17.46 inference('rw_clause', [status(thm)], [zip_derived_cl1036, '1'])). 132.87/17.46 thf(zip_derived_cl256, plain, 132.87/17.46 (![X3 : mworld, X6 : $i, X7 : $i]: 132.87/17.46 (~ ('#form2' @ X3 @ X6 @ X7) 132.87/17.46 | (((!!) @ (^[Y0 : mworld]: 132.87/17.46 (((mrel @ X3 @ Y0) => (qmltpeq @ X6 @ X7 @ Y0)))))))), 132.87/17.46 define([status(thm)])). 132.87/17.46 thf(zip_derived_cl190, plain, 132.87/17.46 (![X3 : mworld, X6 : $i, X7 : $i]: 132.87/17.46 ( ('#form2' @ X3 @ X6 @ X7) 132.87/17.46 | ~ (((!!) @ (^[Y0 : mworld]: 132.87/17.46 (((mrel @ X3 @ Y0) => (qmltpeq @ X6 @ X7 @ Y0)))))))), 132.87/17.46 define([status(thm)])). 132.87/17.46 thf(zip_derived_cl1098, plain, 132.87/17.46 (![X0 : mworld]: 132.87/17.46 (~ ('#form2' @ X0 @ (op @ e3 @ e3) @ e3) 132.87/17.46 | ~ ('#form2' @ X0 @ (op @ e2 @ e2) @ e3) 132.87/17.46 | ~ ('#form2' @ X0 @ (op @ e1 @ e1) @ e3) 132.87/17.46 | ~ ('#form2' @ X0 @ (op @ e0 @ e0) @ e3) 132.87/17.46 | ~ (mrel @ '#sk3' @ X0))), 132.87/17.46 inference('renaming', [status(thm)], 132.87/17.46 [zip_derived_cl1069, zip_derived_cl256, zip_derived_cl190])). 132.87/17.46 thf(zip_derived_cl190, plain, 132.87/17.46 (![X3 : mworld, X6 : $i, X7 : $i]: 132.87/17.46 ( ('#form2' @ X3 @ X6 @ X7) 132.87/17.46 | ~ (((!!) @ (^[Y0 : mworld]: 132.87/17.46 (((mrel @ X3 @ Y0) => (qmltpeq @ X6 @ X7 @ Y0)))))))), 132.87/17.46 define([status(thm)])). 132.87/17.46 thf(zip_derived_cl191, plain, 132.87/17.46 (![X3 : mworld, X6 : $i, X7 : $i]: 132.87/17.46 (~ (((mrel @ X3 @ ('#sk1' @ X3 @ X7 @ X6)) => (qmltpeq @ X6 @ X7 @ 132.87/17.46 ('#sk1' @ X3 @ X7 @ X6)))) 132.87/17.46 | ('#form2' @ X3 @ X6 @ X7))), 132.87/17.46 inference('lazy_cnf_exists', [status(thm)], [zip_derived_cl190])). 132.87/17.46 thf(zip_derived_cl194, plain, 132.87/17.46 (![X3 : mworld, X6 : $i, X7 : $i]: 132.87/17.46 ( (mrel @ X3 @ ('#sk1' @ X3 @ X7 @ X6)) | ('#form2' @ X3 @ X6 @ X7))), 132.87/17.46 inference('lazy_cnf_imply', [status(thm)], [zip_derived_cl191])). 132.87/17.46 thf(zip_derived_cl195, plain, 132.87/17.46 (![X3 : mworld, X6 : $i, X7 : $i]: 132.87/17.46 (~ (qmltpeq @ X6 @ X7 @ ('#sk1' @ X3 @ X7 @ X6)) 132.87/17.46 | ('#form2' @ X3 @ X6 @ X7))), 132.87/17.46 inference('lazy_cnf_imply', [status(thm)], [zip_derived_cl191])). 132.87/17.46 thf(zip_derived_cl808, plain, 132.87/17.46 ( (mor @ 132.87/17.46 (mand @ (mbox @ (qmltpeq @ (op @ e0 @ e0) @ e0)) @ 132.87/17.46 (mand @ (mbox @ (qmltpeq @ (op @ e1 @ e1) @ e0)) @ 132.87/17.46 (mand @ (mbox @ (qmltpeq @ (op @ e2 @ e2) @ e0)) @ 132.87/17.46 (mbox @ (qmltpeq @ (op @ e3 @ e3) @ e0))))) @ 132.87/17.46 (mor @ 132.87/17.46 (mand @ (mbox @ (qmltpeq @ (op @ e0 @ e0) @ e1)) @ 132.87/17.46 (mand @ (mbox @ (qmltpeq @ (op @ e1 @ e1) @ e1)) @ 132.87/17.46 (mand @ (mbox @ (qmltpeq @ (op @ e2 @ e2) @ e1)) @ 132.87/17.46 (mbox @ (qmltpeq @ (op @ e3 @ e3) @ e1))))) @ 132.87/17.46 (mor @ 132.87/17.46 (mand @ (mbox @ (qmltpeq @ (op @ e0 @ e0) @ e2)) @ 132.87/17.46 (mand @ (mbox @ (qmltpeq @ (op @ e1 @ e1) @ e2)) @ 132.87/17.46 (mand @ (mbox @ (qmltpeq @ (op @ e2 @ e2) @ e2)) @ 132.87/17.46 (mbox @ (qmltpeq @ (op @ e3 @ e3) @ e2))))) @ 132.87/17.46 (mand @ (mbox @ (qmltpeq @ (op @ e0 @ e0) @ e3)) @ 132.87/17.46 (mand @ (mbox @ (qmltpeq @ (op @ e1 @ e1) @ e3)) @ 132.87/17.46 (mand @ (mbox @ (qmltpeq @ (op @ e2 @ e2) @ e3)) @ 132.87/17.46 (mbox @ (qmltpeq @ (op @ e3 @ e3) @ e3))))))) @ 132.87/17.46 '#sk3')), 132.87/17.46 inference('lazy_cnf_and', [status(thm)], [zip_derived_cl806])). 132.87/17.46 thf(mor_def, axiom, (mor @ X0 @ X1 @ X2) => 132.87/17.46 ((((X1 @ X2) | (X0 @ X2))) = ($true))). 132.87/17.46 thf('10', plain, 132.87/17.46 (![X0:( mworld > $o ),X1:( mworld > $o ),X2:mworld]: 132.87/17.46 ( ( mor @ X0 @ X1 @ X2 ) <=> ( ( X0 @ X2 ) | ( X1 @ X2 ) ) )), 132.87/17.46 inference('rw.lit', [status(esa)], [mor_def])). 132.87/17.46 thf(zip_derived_cl810, plain, 132.87/17.46 ( (((mor @ 132.87/17.46 (mand @ (mbox @ (qmltpeq @ (op @ e0 @ e0) @ e1)) @ 132.87/17.46 (mand @ (mbox @ (qmltpeq @ (op @ e1 @ e1) @ e1)) @ 132.87/17.46 (mand @ (mbox @ (qmltpeq @ (op @ e2 @ e2) @ e1)) @ 132.87/17.46 (mbox @ (qmltpeq @ (op @ e3 @ e3) @ e1))))) @ 132.87/17.46 (mor @ 132.87/17.46 (mand @ (mbox @ (qmltpeq @ (op @ e0 @ e0) @ e2)) @ 132.87/17.46 (mand @ (mbox @ (qmltpeq @ (op @ e1 @ e1) @ e2)) @ 132.87/17.46 (mand @ (mbox @ (qmltpeq @ (op @ e2 @ e2) @ e2)) @ 132.87/17.46 (mbox @ (qmltpeq @ (op @ e3 @ e3) @ e2))))) @ 132.87/17.46 (mand @ (mbox @ (qmltpeq @ (op @ e0 @ e0) @ e3)) @ 132.87/17.46 (mand @ (mbox @ (qmltpeq @ (op @ e1 @ e1) @ e3)) @ 132.87/17.46 (mand @ (mbox @ (qmltpeq @ (op @ e2 @ e2) @ e3)) @ 132.87/17.46 (mbox @ (qmltpeq @ (op @ e3 @ e3) @ e3)))))) @ 132.87/17.46 '#sk3') | (mand @ (mbox @ (qmltpeq @ (op @ e0 @ e0) @ e0)) @ 132.87/17.46 (mand @ (mbox @ (qmltpeq @ (op @ e1 @ e1) @ e0)) @ 132.87/17.46 (mand @ (mbox @ (qmltpeq @ (op @ e2 @ e2) @ e0)) @ 132.87/17.46 (mbox @ (qmltpeq @ (op @ e3 @ e3) @ e0)))) @ 132.87/17.46 '#sk3')))), 132.87/17.46 inference('rw_clause', [status(thm)], [zip_derived_cl808, '10'])). 132.87/17.46 thf(zip_derived_cl812, plain, 132.87/17.46 (( (mor @ 132.87/17.46 (mand @ (mbox @ (qmltpeq @ (op @ e0 @ e0) @ e1)) @ 132.87/17.46 (mand @ (mbox @ (qmltpeq @ (op @ e1 @ e1) @ e1)) @ 132.87/17.46 (mand @ (mbox @ (qmltpeq @ (op @ e2 @ e2) @ e1)) @ 132.87/17.46 (mbox @ (qmltpeq @ (op @ e3 @ e3) @ e1))))) @ 132.87/17.46 (mor @ 132.87/17.46 (mand @ (mbox @ (qmltpeq @ (op @ e0 @ e0) @ e2)) @ 132.87/17.46 (mand @ (mbox @ (qmltpeq @ (op @ e1 @ e1) @ e2)) @ 132.87/17.46 (mand @ (mbox @ (qmltpeq @ (op @ e2 @ e2) @ e2)) @ 132.87/17.46 (mbox @ (qmltpeq @ (op @ e3 @ e3) @ e2))))) @ 132.87/17.46 (mand @ (mbox @ (qmltpeq @ (op @ e0 @ e0) @ e3)) @ 132.87/17.46 (mand @ (mbox @ (qmltpeq @ (op @ e1 @ e1) @ e3)) @ 132.87/17.46 (mand @ (mbox @ (qmltpeq @ (op @ e2 @ e2) @ e3)) @ 132.87/17.46 (mbox @ (qmltpeq @ (op @ e3 @ e3) @ e3)))))) @ 132.87/17.46 '#sk3') 132.87/17.46 | (mand @ (mbox @ (qmltpeq @ (op @ e0 @ e0) @ e0)) @ 132.87/17.46 (mand @ (mbox @ (qmltpeq @ (op @ e1 @ e1) @ e0)) @ 132.87/17.46 (mand @ (mbox @ (qmltpeq @ (op @ e2 @ e2) @ e0)) @ 132.87/17.46 (mbox @ (qmltpeq @ (op @ e3 @ e3) @ e0)))) @ 132.87/17.46 '#sk3'))), 132.87/17.46 inference('lazy_cnf_or', [status(thm)], [zip_derived_cl810])). 132.87/17.46 thf(zip_derived_cl814, plain, 132.87/17.46 (( (((mor @ 132.87/17.46 (mand @ (mbox @ (qmltpeq @ (op @ e0 @ e0) @ e2)) @ 132.87/17.46 (mand @ (mbox @ (qmltpeq @ (op @ e1 @ e1) @ e2)) @ 132.87/17.46 (mand @ (mbox @ (qmltpeq @ (op @ e2 @ e2) @ e2)) @ 132.87/17.46 (mbox @ (qmltpeq @ (op @ e3 @ e3) @ e2))))) @ 132.87/17.46 (mand @ (mbox @ (qmltpeq @ (op @ e0 @ e0) @ e3)) @ 132.87/17.46 (mand @ (mbox @ (qmltpeq @ (op @ e1 @ e1) @ e3)) @ 132.87/17.46 (mand @ (mbox @ (qmltpeq @ (op @ e2 @ e2) @ e3)) @ 132.87/17.46 (mbox @ (qmltpeq @ (op @ e3 @ e3) @ e3))))) @ 132.87/17.46 '#sk3') | (mand @ (mbox @ (qmltpeq @ (op @ e0 @ e0) @ e1)) @ 132.87/17.46 (mand @ (mbox @ (qmltpeq @ (op @ e1 @ e1) @ e1)) @ 132.87/17.46 (mand @ (mbox @ (qmltpeq @ (op @ e2 @ e2) @ e1)) @ 132.87/17.46 (mbox @ (qmltpeq @ (op @ e3 @ e3) @ e1)))) @ 132.87/17.46 '#sk3'))) 132.87/17.46 | (mand @ (mbox @ (qmltpeq @ (op @ e0 @ e0) @ e0)) @ 132.87/17.46 (mand @ (mbox @ (qmltpeq @ (op @ e1 @ e1) @ e0)) @ 132.87/17.46 (mand @ (mbox @ (qmltpeq @ (op @ e2 @ e2) @ e0)) @ 132.87/17.46 (mbox @ (qmltpeq @ (op @ e3 @ e3) @ e0)))) @ 132.87/17.46 '#sk3'))), 132.87/17.46 inference('rw_clause', [status(thm)], [zip_derived_cl812, '10'])). 132.87/17.46 thf(zip_derived_cl816, plain, 132.87/17.46 (( (((mand @ (mbox @ (qmltpeq @ (op @ e1 @ e1) @ e0)) @ 132.87/17.46 (mand @ (mbox @ (qmltpeq @ (op @ e2 @ e2) @ e0)) @ 132.87/17.46 (mbox @ (qmltpeq @ (op @ e3 @ e3) @ e0))) @ 132.87/17.46 '#sk3') & (mbox @ (qmltpeq @ (op @ e0 @ e0) @ e0) @ '#sk3'))) 132.87/17.46 | (((mor @ 132.87/17.46 (mand @ (mbox @ (qmltpeq @ (op @ e0 @ e0) @ e2)) @ 132.87/17.46 (mand @ (mbox @ (qmltpeq @ (op @ e1 @ e1) @ e2)) @ 132.87/17.46 (mand @ (mbox @ (qmltpeq @ (op @ e2 @ e2) @ e2)) @ 132.87/17.46 (mbox @ (qmltpeq @ (op @ e3 @ e3) @ e2))))) @ 132.87/17.46 (mand @ (mbox @ (qmltpeq @ (op @ e0 @ e0) @ e3)) @ 132.87/17.46 (mand @ (mbox @ (qmltpeq @ (op @ e1 @ e1) @ e3)) @ 132.87/17.46 (mand @ (mbox @ (qmltpeq @ (op @ e2 @ e2) @ e3)) @ 132.87/17.46 (mbox @ (qmltpeq @ (op @ e3 @ e3) @ e3))))) @ 132.87/17.46 '#sk3') | (mand @ (mbox @ (qmltpeq @ (op @ e0 @ e0) @ e1)) @ 132.87/17.46 (mand @ (mbox @ (qmltpeq @ (op @ e1 @ e1) @ e1)) @ 132.87/17.46 (mand @ (mbox @ (qmltpeq @ (op @ e2 @ e2) @ e1)) @ 132.87/17.46 (mbox @ (qmltpeq @ (op @ e3 @ e3) @ e1)))) @ 132.87/17.46 '#sk3'))))), 132.87/17.46 inference('rw_clause', [status(thm)], [zip_derived_cl814, '3'])). 132.87/17.46 thf(zip_derived_cl818, plain, 132.87/17.46 (( (mand @ (mbox @ (qmltpeq @ (op @ e1 @ e1) @ e0)) @ 132.87/17.46 (mand @ (mbox @ (qmltpeq @ (op @ e2 @ e2) @ e0)) @ 132.87/17.46 (mbox @ (qmltpeq @ (op @ e3 @ e3) @ e0))) @ 132.87/17.46 '#sk3') 132.87/17.46 | (((mor @ 132.87/17.46 (mand @ (mbox @ (qmltpeq @ (op @ e0 @ e0) @ e2)) @ 132.87/17.46 (mand @ (mbox @ (qmltpeq @ (op @ e1 @ e1) @ e2)) @ 132.87/17.46 (mand @ (mbox @ (qmltpeq @ (op @ e2 @ e2) @ e2)) @ 132.87/17.46 (mbox @ (qmltpeq @ (op @ e3 @ e3) @ e2))))) @ 132.87/17.46 (mand @ (mbox @ (qmltpeq @ (op @ e0 @ e0) @ e3)) @ 132.87/17.46 (mand @ (mbox @ (qmltpeq @ (op @ e1 @ e1) @ e3)) @ 132.87/17.46 (mand @ (mbox @ (qmltpeq @ (op @ e2 @ e2) @ e3)) @ 132.87/17.46 (mbox @ (qmltpeq @ (op @ e3 @ e3) @ e3))))) @ 132.87/17.46 '#sk3') | (mand @ (mbox @ (qmltpeq @ (op @ e0 @ e0) @ e1)) @ 132.87/17.46 (mand @ (mbox @ (qmltpeq @ (op @ e1 @ e1) @ e1)) @ 132.87/17.46 (mand @ (mbox @ (qmltpeq @ (op @ e2 @ e2) @ e1)) @ 132.87/17.46 (mbox @ (qmltpeq @ (op @ e3 @ e3) @ e1)))) @ 132.87/17.46 '#sk3'))))), 132.87/17.46 inference('lazy_cnf_and', [status(thm)], [zip_derived_cl816])). 132.87/17.46 thf(zip_derived_cl822, plain, 132.87/17.46 (( (((mand @ (mbox @ (qmltpeq @ (op @ e2 @ e2) @ e0)) @ 132.87/17.46 (mbox @ (qmltpeq @ (op @ e3 @ e3) @ e0)) @ '#sk3') & (mbox @ 132.87/17.46 (qmltpeq @ (op @ e1 @ e1) @ e0) @ '#sk3'))) 132.87/17.46 | (((mor @ 132.87/17.46 (mand @ (mbox @ (qmltpeq @ (op @ e0 @ e0) @ e2)) @ 132.87/17.46 (mand @ (mbox @ (qmltpeq @ (op @ e1 @ e1) @ e2)) @ 132.87/17.46 (mand @ (mbox @ (qmltpeq @ (op @ e2 @ e2) @ e2)) @ 132.87/17.46 (mbox @ (qmltpeq @ (op @ e3 @ e3) @ e2))))) @ 132.87/17.46 (mand @ (mbox @ (qmltpeq @ (op @ e0 @ e0) @ e3)) @ 132.87/17.46 (mand @ (mbox @ (qmltpeq @ (op @ e1 @ e1) @ e3)) @ 132.87/17.46 (mand @ (mbox @ (qmltpeq @ (op @ e2 @ e2) @ e3)) @ 132.87/17.46 (mbox @ (qmltpeq @ (op @ e3 @ e3) @ e3))))) @ 132.87/17.46 '#sk3') | (mand @ (mbox @ (qmltpeq @ (op @ e0 @ e0) @ e1)) @ 132.87/17.46 (mand @ (mbox @ (qmltpeq @ (op @ e1 @ e1) @ e1)) @ 132.87/17.46 (mand @ (mbox @ (qmltpeq @ (op @ e2 @ e2) @ e1)) @ 132.87/17.46 (mbox @ (qmltpeq @ (op @ e3 @ e3) @ e1)))) @ 132.87/17.46 '#sk3'))))), 132.87/17.46 inference('rw_clause', [status(thm)], [zip_derived_cl818, '3'])). 132.87/17.46 thf(zip_derived_cl826, plain, 132.87/17.46 (( (mand @ (mbox @ (qmltpeq @ (op @ e2 @ e2) @ e0)) @ 132.87/17.46 (mbox @ (qmltpeq @ (op @ e3 @ e3) @ e0)) @ '#sk3') 132.87/17.46 | (((mor @ 132.87/17.46 (mand @ (mbox @ (qmltpeq @ (op @ e0 @ e0) @ e2)) @ 132.87/17.46 (mand @ (mbox @ (qmltpeq @ (op @ e1 @ e1) @ e2)) @ 132.87/17.46 (mand @ (mbox @ (qmltpeq @ (op @ e2 @ e2) @ e2)) @ 132.87/17.46 (mbox @ (qmltpeq @ (op @ e3 @ e3) @ e2))))) @ 132.87/17.46 (mand @ (mbox @ (qmltpeq @ (op @ e0 @ e0) @ e3)) @ 132.87/17.46 (mand @ (mbox @ (qmltpeq @ (op @ e1 @ e1) @ e3)) @ 132.87/17.46 (mand @ (mbox @ (qmltpeq @ (op @ e2 @ e2) @ e3)) @ 132.87/17.46 (mbox @ (qmltpeq @ (op @ e3 @ e3) @ e3))))) @ 132.87/17.46 '#sk3') | (mand @ (mbox @ (qmltpeq @ (op @ e0 @ e0) @ e1)) @ 132.87/17.46 (mand @ (mbox @ (qmltpeq @ (op @ e1 @ e1) @ e1)) @ 132.87/17.46 (mand @ (mbox @ (qmltpeq @ (op @ e2 @ e2) @ e1)) @ 132.87/17.46 (mbox @ (qmltpeq @ (op @ e3 @ e3) @ e1)))) @ 132.87/17.46 '#sk3'))))), 132.87/17.46 inference('lazy_cnf_and', [status(thm)], [zip_derived_cl822])). 132.87/17.46 thf(zip_derived_cl832, plain, 132.87/17.46 (( (((mbox @ (qmltpeq @ (op @ e3 @ e3) @ e0) @ '#sk3') & (mbox @ 132.87/17.46 (qmltpeq @ (op @ e2 @ e2) @ e0) @ '#sk3'))) 132.87/17.46 | (((mor @ 132.87/17.46 (mand @ (mbox @ (qmltpeq @ (op @ e0 @ e0) @ e2)) @ 132.87/17.46 (mand @ (mbox @ (qmltpeq @ (op @ e1 @ e1) @ e2)) @ 132.87/17.46 (mand @ (mbox @ (qmltpeq @ (op @ e2 @ e2) @ e2)) @ 132.87/17.46 (mbox @ (qmltpeq @ (op @ e3 @ e3) @ e2))))) @ 132.87/17.46 (mand @ (mbox @ (qmltpeq @ (op @ e0 @ e0) @ e3)) @ 132.87/17.46 (mand @ (mbox @ (qmltpeq @ (op @ e1 @ e1) @ e3)) @ 132.87/17.46 (mand @ (mbox @ (qmltpeq @ (op @ e2 @ e2) @ e3)) @ 132.87/17.46 (mbox @ (qmltpeq @ (op @ e3 @ e3) @ e3))))) @ 132.87/17.46 '#sk3') | (mand @ (mbox @ (qmltpeq @ (op @ e0 @ e0) @ e1)) @ 132.87/17.46 (mand @ (mbox @ (qmltpeq @ (op @ e1 @ e1) @ e1)) @ 132.87/17.46 (mand @ (mbox @ (qmltpeq @ (op @ e2 @ e2) @ e1)) @ 132.87/17.46 (mbox @ (qmltpeq @ (op @ e3 @ e3) @ e1)))) @ 132.87/17.46 '#sk3'))))), 132.87/17.46 inference('rw_clause', [status(thm)], [zip_derived_cl826, '3'])). 132.87/17.46 thf(zip_derived_cl838, plain, 132.87/17.46 (( (mbox @ (qmltpeq @ (op @ e3 @ e3) @ e0) @ '#sk3') 132.87/17.46 | (((mor @ 132.87/17.46 (mand @ (mbox @ (qmltpeq @ (op @ e0 @ e0) @ e2)) @ 132.87/17.46 (mand @ (mbox @ (qmltpeq @ (op @ e1 @ e1) @ e2)) @ 132.87/17.46 (mand @ (mbox @ (qmltpeq @ (op @ e2 @ e2) @ e2)) @ 132.87/17.46 (mbox @ (qmltpeq @ (op @ e3 @ e3) @ e2))))) @ 132.87/17.46 (mand @ (mbox @ (qmltpeq @ (op @ e0 @ e0) @ e3)) @ 132.87/17.46 (mand @ (mbox @ (qmltpeq @ (op @ e1 @ e1) @ e3)) @ 132.87/17.46 (mand @ (mbox @ (qmltpeq @ (op @ e2 @ e2) @ e3)) @ 132.87/17.46 (mbox @ (qmltpeq @ (op @ e3 @ e3) @ e3))))) @ 132.87/17.46 '#sk3') | (mand @ (mbox @ (qmltpeq @ (op @ e0 @ e0) @ e1)) @ 132.87/17.46 (mand @ (mbox @ (qmltpeq @ (op @ e1 @ e1) @ e1)) @ 132.87/17.46 (mand @ (mbox @ (qmltpeq @ (op @ e2 @ e2) @ e1)) @ 132.87/17.46 (mbox @ (qmltpeq @ (op @ e3 @ e3) @ e1)))) @ 132.87/17.46 '#sk3'))))), 132.87/17.46 inference('lazy_cnf_and', [status(thm)], [zip_derived_cl832])). 132.87/17.46 thf(zip_derived_cl846, plain, 132.87/17.46 (( (((!!) @ (^[Y0 : mworld]: 132.87/17.46 (((mrel @ '#sk3' @ Y0) => (qmltpeq @ (op @ e3 @ e3) @ 132.87/17.46 e0 @ Y0)))))) 132.87/17.46 | (((mor @ 132.87/17.46 (mand @ (mbox @ (qmltpeq @ (op @ e0 @ e0) @ e2)) @ 132.87/17.46 (mand @ (mbox @ (qmltpeq @ (op @ e1 @ e1) @ e2)) @ 132.87/17.46 (mand @ (mbox @ (qmltpeq @ (op @ e2 @ e2) @ e2)) @ 132.87/17.46 (mbox @ (qmltpeq @ (op @ e3 @ e3) @ e2))))) @ 132.87/17.46 (mand @ (mbox @ (qmltpeq @ (op @ e0 @ e0) @ e3)) @ 132.87/17.46 (mand @ (mbox @ (qmltpeq @ (op @ e1 @ e1) @ e3)) @ 132.87/17.46 (mand @ (mbox @ (qmltpeq @ (op @ e2 @ e2) @ e3)) @ 132.87/17.46 (mbox @ (qmltpeq @ (op @ e3 @ e3) @ e3))))) @ 132.87/17.46 '#sk3') | (mand @ (mbox @ (qmltpeq @ (op @ e0 @ e0) @ e1)) @ 132.87/17.46 (mand @ (mbox @ (qmltpeq @ (op @ e1 @ e1) @ e1)) @ 132.87/17.46 (mand @ (mbox @ (qmltpeq @ (op @ e2 @ e2) @ e1)) @ 132.87/17.46 (mbox @ (qmltpeq @ (op @ e3 @ e3) @ e1)))) @ 132.87/17.46 '#sk3'))))), 132.87/17.46 inference('rw_clause', [status(thm)], [zip_derived_cl838, '4'])). 132.87/17.46 thf(zip_derived_cl256, plain, 132.87/17.46 (![X3 : mworld, X6 : $i, X7 : $i]: 132.87/17.46 (~ ('#form2' @ X3 @ X6 @ X7) 132.87/17.46 | (((!!) @ (^[Y0 : mworld]: 132.87/17.46 (((mrel @ X3 @ Y0) => (qmltpeq @ X6 @ X7 @ Y0)))))))), 132.87/17.46 define([status(thm)])). 132.87/17.46 thf(zip_derived_cl190, plain, 132.87/17.46 (![X3 : mworld, X6 : $i, X7 : $i]: 132.87/17.46 ( ('#form2' @ X3 @ X6 @ X7) 132.87/17.46 | ~ (((!!) @ (^[Y0 : mworld]: 132.87/17.46 (((mrel @ X3 @ Y0) => (qmltpeq @ X6 @ X7 @ Y0)))))))), 132.87/17.46 define([status(thm)])). 132.87/17.46 thf(zip_derived_cl854, plain, 132.87/17.46 (( ('#form2' @ '#sk3' @ (op @ e3 @ e3) @ e0) 132.87/17.46 | (((mor @ 132.87/17.46 (mand @ (mbox @ (qmltpeq @ (op @ e0 @ e0) @ e2)) @ 132.87/17.46 (mand @ (mbox @ (qmltpeq @ (op @ e1 @ e1) @ e2)) @ 132.87/17.46 (mand @ (mbox @ (qmltpeq @ (op @ e2 @ e2) @ e2)) @ 132.87/17.46 (mbox @ (qmltpeq @ (op @ e3 @ e3) @ e2))))) @ 132.87/17.46 (mand @ (mbox @ (qmltpeq @ (op @ e0 @ e0) @ e3)) @ 132.87/17.46 (mand @ (mbox @ (qmltpeq @ (op @ e1 @ e1) @ e3)) @ 132.87/17.46 (mand @ (mbox @ (qmltpeq @ (op @ e2 @ e2) @ e3)) @ 132.87/17.46 (mbox @ (qmltpeq @ (op @ e3 @ e3) @ e3))))) @ 132.87/17.46 '#sk3') | (mand @ (mbox @ (qmltpeq @ (op @ e0 @ e0) @ e1)) @ 132.87/17.46 (mand @ (mbox @ (qmltpeq @ (op @ e1 @ e1) @ e1)) @ 132.87/17.46 (mand @ (mbox @ (qmltpeq @ (op @ e2 @ e2) @ e1)) @ 132.87/17.46 (mbox @ (qmltpeq @ (op @ e3 @ e3) @ e1)))) @ 132.87/17.46 '#sk3'))))), 132.87/17.46 inference('renaming', [status(thm)], 132.87/17.46 [zip_derived_cl846, zip_derived_cl256, zip_derived_cl190])). 132.87/17.46 thf(zip_derived_cl863, plain, 132.87/17.46 (( (mor @ 132.87/17.46 (mand @ (mbox @ (qmltpeq @ (op @ e0 @ e0) @ e2)) @ 132.87/17.46 (mand @ (mbox @ (qmltpeq @ (op @ e1 @ e1) @ e2)) @ 132.87/17.46 (mand @ (mbox @ (qmltpeq @ (op @ e2 @ e2) @ e2)) @ 132.87/17.46 (mbox @ (qmltpeq @ (op @ e3 @ e3) @ e2))))) @ 132.87/17.46 (mand @ (mbox @ (qmltpeq @ (op @ e0 @ e0) @ e3)) @ 132.87/17.46 (mand @ (mbox @ (qmltpeq @ (op @ e1 @ e1) @ e3)) @ 132.87/17.46 (mand @ (mbox @ (qmltpeq @ (op @ e2 @ e2) @ e3)) @ 132.87/17.46 (mbox @ (qmltpeq @ (op @ e3 @ e3) @ e3))))) @ 132.87/17.46 '#sk3') 132.87/17.46 | (mand @ (mbox @ (qmltpeq @ (op @ e0 @ e0) @ e1)) @ 132.87/17.46 (mand @ (mbox @ (qmltpeq @ (op @ e1 @ e1) @ e1)) @ 132.87/17.46 (mand @ (mbox @ (qmltpeq @ (op @ e2 @ e2) @ e1)) @ 132.87/17.46 (mbox @ (qmltpeq @ (op @ e3 @ e3) @ e1)))) @ 132.87/17.46 '#sk3') 132.87/17.46 | ('#form2' @ '#sk3' @ (op @ e3 @ e3) @ e0))), 132.87/17.46 inference('lazy_cnf_or', [status(thm)], [zip_derived_cl854])). 132.87/17.46 thf(zip_derived_cl872, plain, 132.87/17.46 (( (((mand @ (mbox @ (qmltpeq @ (op @ e0 @ e0) @ e3)) @ 132.87/17.46 (mand @ (mbox @ (qmltpeq @ (op @ e1 @ e1) @ e3)) @ 132.87/17.46 (mand @ (mbox @ (qmltpeq @ (op @ e2 @ e2) @ e3)) @ 132.87/17.46 (mbox @ (qmltpeq @ (op @ e3 @ e3) @ e3)))) @ 132.87/17.46 '#sk3') | (mand @ (mbox @ (qmltpeq @ (op @ e0 @ e0) @ e2)) @ 132.87/17.46 (mand @ (mbox @ (qmltpeq @ (op @ e1 @ e1) @ e2)) @ 132.87/17.46 (mand @ (mbox @ (qmltpeq @ (op @ e2 @ e2) @ e2)) @ 132.87/17.46 (mbox @ (qmltpeq @ (op @ e3 @ e3) @ e2)))) @ 132.87/17.46 '#sk3'))) 132.87/17.46 | ('#form2' @ '#sk3' @ (op @ e3 @ e3) @ e0) 132.87/17.46 | (mand @ (mbox @ (qmltpeq @ (op @ e0 @ e0) @ e1)) @ 132.87/17.46 (mand @ (mbox @ (qmltpeq @ (op @ e1 @ e1) @ e1)) @ 132.87/17.46 (mand @ (mbox @ (qmltpeq @ (op @ e2 @ e2) @ e1)) @ 132.87/17.46 (mbox @ (qmltpeq @ (op @ e3 @ e3) @ e1)))) @ 132.87/17.46 '#sk3'))), 132.87/17.46 inference('rw_clause', [status(thm)], [zip_derived_cl863, '10'])). 132.87/17.46 thf(zip_derived_cl883, plain, 132.87/17.46 (( (((mand @ (mbox @ (qmltpeq @ (op @ e1 @ e1) @ e1)) @ 132.87/17.46 (mand @ (mbox @ (qmltpeq @ (op @ e2 @ e2) @ e1)) @ 132.87/17.46 (mbox @ (qmltpeq @ (op @ e3 @ e3) @ e1))) @ 132.87/17.46 '#sk3') & (mbox @ (qmltpeq @ (op @ e0 @ e0) @ e1) @ '#sk3'))) 132.87/17.46 | ('#form2' @ '#sk3' @ (op @ e3 @ e3) @ e0) 132.87/17.46 | (((mand @ (mbox @ (qmltpeq @ (op @ e0 @ e0) @ e3)) @ 132.87/17.46 (mand @ (mbox @ (qmltpeq @ (op @ e1 @ e1) @ e3)) @ 132.87/17.46 (mand @ (mbox @ (qmltpeq @ (op @ e2 @ e2) @ e3)) @ 132.87/17.46 (mbox @ (qmltpeq @ (op @ e3 @ e3) @ e3)))) @ 132.87/17.46 '#sk3') | (mand @ (mbox @ (qmltpeq @ (op @ e0 @ e0) @ e2)) @ 132.87/17.46 (mand @ (mbox @ (qmltpeq @ (op @ e1 @ e1) @ e2)) @ 132.87/17.46 (mand @ (mbox @ (qmltpeq @ (op @ e2 @ e2) @ e2)) @ 132.87/17.46 (mbox @ (qmltpeq @ (op @ e3 @ e3) @ e2)))) @ 132.87/17.46 '#sk3'))))), 132.87/17.46 inference('rw_clause', [status(thm)], [zip_derived_cl872, '3'])). 132.87/17.46 thf(zip_derived_cl894, plain, 132.87/17.46 (( (mand @ (mbox @ (qmltpeq @ (op @ e1 @ e1) @ e1)) @ 132.87/17.46 (mand @ (mbox @ (qmltpeq @ (op @ e2 @ e2) @ e1)) @ 132.87/17.46 (mbox @ (qmltpeq @ (op @ e3 @ e3) @ e1))) @ 132.87/17.46 '#sk3') 132.87/17.46 | (((mand @ (mbox @ (qmltpeq @ (op @ e0 @ e0) @ e3)) @ 132.87/17.46 (mand @ (mbox @ (qmltpeq @ (op @ e1 @ e1) @ e3)) @ 132.87/17.46 (mand @ (mbox @ (qmltpeq @ (op @ e2 @ e2) @ e3)) @ 132.87/17.46 (mbox @ (qmltpeq @ (op @ e3 @ e3) @ e3)))) @ 132.87/17.46 '#sk3') | (mand @ (mbox @ (qmltpeq @ (op @ e0 @ e0) @ e2)) @ 132.87/17.46 (mand @ (mbox @ (qmltpeq @ (op @ e1 @ e1) @ e2)) @ 132.87/17.46 (mand @ (mbox @ (qmltpeq @ (op @ e2 @ e2) @ e2)) @ 132.87/17.46 (mbox @ (qmltpeq @ (op @ e3 @ e3) @ e2)))) @ 132.87/17.46 '#sk3'))) 132.87/17.46 | ('#form2' @ '#sk3' @ (op @ e3 @ e3) @ e0))), 132.87/17.46 inference('lazy_cnf_and', [status(thm)], [zip_derived_cl883])). 132.87/17.46 thf(zip_derived_cl909, plain, 132.87/17.46 (( (((mand @ (mbox @ (qmltpeq @ (op @ e2 @ e2) @ e1)) @ 132.87/17.46 (mbox @ (qmltpeq @ (op @ e3 @ e3) @ e1)) @ '#sk3') & (mbox @ 132.87/17.46 (qmltpeq @ (op @ e1 @ e1) @ e1) @ '#sk3'))) 132.87/17.46 | ('#form2' @ '#sk3' @ (op @ e3 @ e3) @ e0) 132.87/17.46 | (((mand @ (mbox @ (qmltpeq @ (op @ e0 @ e0) @ e3)) @ 132.87/17.46 (mand @ (mbox @ (qmltpeq @ (op @ e1 @ e1) @ e3)) @ 132.87/17.46 (mand @ (mbox @ (qmltpeq @ (op @ e2 @ e2) @ e3)) @ 132.87/17.46 (mbox @ (qmltpeq @ (op @ e3 @ e3) @ e3)))) @ 132.87/17.46 '#sk3') | (mand @ (mbox @ (qmltpeq @ (op @ e0 @ e0) @ e2)) @ 132.87/17.46 (mand @ (mbox @ (qmltpeq @ (op @ e1 @ e1) @ e2)) @ 132.87/17.46 (mand @ (mbox @ (qmltpeq @ (op @ e2 @ e2) @ e2)) @ 132.87/17.46 (mbox @ (qmltpeq @ (op @ e3 @ e3) @ e2)))) @ 132.87/17.46 '#sk3'))))), 132.87/17.46 inference('rw_clause', [status(thm)], [zip_derived_cl894, '3'])). 132.87/17.46 thf(zip_derived_cl924, plain, 132.87/17.46 (( (mand @ (mbox @ (qmltpeq @ (op @ e2 @ e2) @ e1)) @ 132.87/17.46 (mbox @ (qmltpeq @ (op @ e3 @ e3) @ e1)) @ '#sk3') 132.87/17.46 | (((mand @ (mbox @ (qmltpeq @ (op @ e0 @ e0) @ e3)) @ 132.87/17.46 (mand @ (mbox @ (qmltpeq @ (op @ e1 @ e1) @ e3)) @ 132.87/17.46 (mand @ (mbox @ (qmltpeq @ (op @ e2 @ e2) @ e3)) @ 132.87/17.46 (mbox @ (qmltpeq @ (op @ e3 @ e3) @ e3)))) @ 132.87/17.46 '#sk3') | (mand @ (mbox @ (qmltpeq @ (op @ e0 @ e0) @ e2)) @ 132.87/17.46 (mand @ (mbox @ (qmltpeq @ (op @ e1 @ e1) @ e2)) @ 132.87/17.46 (mand @ (mbox @ (qmltpeq @ (op @ e2 @ e2) @ e2)) @ 132.87/17.46 (mbox @ (qmltpeq @ (op @ e3 @ e3) @ e2)))) @ 132.87/17.46 '#sk3'))) 132.87/17.46 | ('#form2' @ '#sk3' @ (op @ e3 @ e3) @ e0))), 132.87/17.46 inference('lazy_cnf_and', [status(thm)], [zip_derived_cl909])). 132.87/17.46 thf(zip_derived_cl943, plain, 132.87/17.46 (( (((mbox @ (qmltpeq @ (op @ e3 @ e3) @ e1) @ '#sk3') & (mbox @ 132.87/17.46 (qmltpeq @ (op @ e2 @ e2) @ e1) @ '#sk3'))) 132.87/17.46 | ('#form2' @ '#sk3' @ (op @ e3 @ e3) @ e0) 132.87/17.46 | (((mand @ (mbox @ (qmltpeq @ (op @ e0 @ e0) @ e3)) @ 132.87/17.46 (mand @ (mbox @ (qmltpeq @ (op @ e1 @ e1) @ e3)) @ 132.87/17.46 (mand @ (mbox @ (qmltpeq @ (op @ e2 @ e2) @ e3)) @ 132.87/17.46 (mbox @ (qmltpeq @ (op @ e3 @ e3) @ e3)))) @ 132.87/17.46 '#sk3') | (mand @ (mbox @ (qmltpeq @ (op @ e0 @ e0) @ e2)) @ 132.87/17.46 (mand @ (mbox @ (qmltpeq @ (op @ e1 @ e1) @ e2)) @ 132.87/17.46 (mand @ (mbox @ (qmltpeq @ (op @ e2 @ e2) @ e2)) @ 132.87/17.46 (mbox @ (qmltpeq @ (op @ e3 @ e3) @ e2)))) @ 132.87/17.46 '#sk3'))))), 132.87/17.46 inference('rw_clause', [status(thm)], [zip_derived_cl924, '3'])). 132.87/17.46 thf(zip_derived_cl965, plain, 132.87/17.46 (( (mbox @ (qmltpeq @ (op @ e3 @ e3) @ e1) @ '#sk3') 132.87/17.46 | (((mand @ (mbox @ (qmltpeq @ (op @ e0 @ e0) @ e3)) @ 132.87/17.46 (mand @ (mbox @ (qmltpeq @ (op @ e1 @ e1) @ e3)) @ 132.87/17.46 (mand @ (mbox @ (qmltpeq @ (op @ e2 @ e2) @ e3)) @ 132.87/17.46 (mbox @ (qmltpeq @ (op @ e3 @ e3) @ e3)))) @ 132.87/17.46 '#sk3') | (mand @ (mbox @ (qmltpeq @ (op @ e0 @ e0) @ e2)) @ 132.87/17.46 (mand @ (mbox @ (qmltpeq @ (op @ e1 @ e1) @ e2)) @ 132.87/17.46 (mand @ (mbox @ (qmltpeq @ (op @ e2 @ e2) @ e2)) @ 132.87/17.46 (mbox @ (qmltpeq @ (op @ e3 @ e3) @ e2)))) @ 132.87/17.46 '#sk3'))) 132.87/17.46 | ('#form2' @ '#sk3' @ (op @ e3 @ e3) @ e0))), 132.87/17.46 inference('lazy_cnf_and', [status(thm)], [zip_derived_cl943])). 132.87/17.46 thf(zip_derived_cl988, plain, 132.87/17.46 (( (((!!) @ (^[Y0 : mworld]: 132.87/17.46 (((mrel @ '#sk3' @ Y0) => (qmltpeq @ (op @ e3 @ e3) @ 132.87/17.46 e1 @ Y0)))))) 132.87/17.46 | ('#form2' @ '#sk3' @ (op @ e3 @ e3) @ e0) 132.87/17.46 | (((mand @ (mbox @ (qmltpeq @ (op @ e0 @ e0) @ e3)) @ 132.87/17.46 (mand @ (mbox @ (qmltpeq @ (op @ e1 @ e1) @ e3)) @ 132.87/17.46 (mand @ (mbox @ (qmltpeq @ (op @ e2 @ e2) @ e3)) @ 132.87/17.46 (mbox @ (qmltpeq @ (op @ e3 @ e3) @ e3)))) @ 132.87/17.46 '#sk3') | (mand @ (mbox @ (qmltpeq @ (op @ e0 @ e0) @ e2)) @ 132.87/17.46 (mand @ (mbox @ (qmltpeq @ (op @ e1 @ e1) @ e2)) @ 132.87/17.46 (mand @ (mbox @ (qmltpeq @ (op @ e2 @ e2) @ e2)) @ 132.87/17.46 (mbox @ (qmltpeq @ (op @ e3 @ e3) @ e2)))) @ 132.87/17.46 '#sk3'))))), 132.87/17.46 inference('rw_clause', [status(thm)], [zip_derived_cl965, '4'])). 132.87/17.46 thf(zip_derived_cl256, plain, 132.87/17.46 (![X3 : mworld, X6 : $i, X7 : $i]: 132.87/17.46 (~ ('#form2' @ X3 @ X6 @ X7) 132.87/17.46 | (((!!) @ (^[Y0 : mworld]: 132.87/17.46 (((mrel @ X3 @ Y0) => (qmltpeq @ X6 @ X7 @ Y0)))))))), 132.87/17.46 define([status(thm)])). 132.87/17.46 thf(zip_derived_cl190, plain, 132.87/17.46 (![X3 : mworld, X6 : $i, X7 : $i]: 132.87/17.46 ( ('#form2' @ X3 @ X6 @ X7) 132.87/17.46 | ~ (((!!) @ (^[Y0 : mworld]: 132.87/17.46 (((mrel @ X3 @ Y0) => (qmltpeq @ X6 @ X7 @ Y0)))))))), 132.87/17.46 define([status(thm)])). 132.87/17.46 thf(zip_derived_cl1014, plain, 132.87/17.46 (( ('#form2' @ '#sk3' @ (op @ e3 @ e3) @ e1) 132.87/17.46 | (((mand @ (mbox @ (qmltpeq @ (op @ e0 @ e0) @ e3)) @ 132.87/17.46 (mand @ (mbox @ (qmltpeq @ (op @ e1 @ e1) @ e3)) @ 132.87/17.46 (mand @ (mbox @ (qmltpeq @ (op @ e2 @ e2) @ e3)) @ 132.87/17.46 (mbox @ (qmltpeq @ (op @ e3 @ e3) @ e3)))) @ 132.87/17.46 '#sk3') | (mand @ (mbox @ (qmltpeq @ (op @ e0 @ e0) @ e2)) @ 132.87/17.46 (mand @ (mbox @ (qmltpeq @ (op @ e1 @ e1) @ e2)) @ 132.87/17.46 (mand @ (mbox @ (qmltpeq @ (op @ e2 @ e2) @ e2)) @ 132.87/17.46 (mbox @ (qmltpeq @ (op @ e3 @ e3) @ e2)))) @ 132.87/17.46 '#sk3'))) 132.87/17.46 | ('#form2' @ '#sk3' @ (op @ e3 @ e3) @ e0))), 132.87/17.46 inference('renaming', [status(thm)], 132.87/17.46 [zip_derived_cl988, zip_derived_cl256, zip_derived_cl190])). 132.87/17.46 thf(zip_derived_cl1039, plain, 132.87/17.46 (( (mand @ (mbox @ (qmltpeq @ (op @ e0 @ e0) @ e3)) @ 132.87/17.46 (mand @ (mbox @ (qmltpeq @ (op @ e1 @ e1) @ e3)) @ 132.87/17.46 (mand @ (mbox @ (qmltpeq @ (op @ e2 @ e2) @ e3)) @ 132.87/17.46 (mbox @ (qmltpeq @ (op @ e3 @ e3) @ e3)))) @ 132.87/17.46 '#sk3') 132.87/17.46 | (mand @ (mbox @ (qmltpeq @ (op @ e0 @ e0) @ e2)) @ 132.87/17.46 (mand @ (mbox @ (qmltpeq @ (op @ e1 @ e1) @ e2)) @ 132.87/17.46 (mand @ (mbox @ (qmltpeq @ (op @ e2 @ e2) @ e2)) @ 132.87/17.46 (mbox @ (qmltpeq @ (op @ e3 @ e3) @ e2)))) @ 132.87/17.46 '#sk3') 132.87/17.46 | ('#form2' @ '#sk3' @ (op @ e3 @ e3) @ e0) 132.87/17.46 | ('#form2' @ '#sk3' @ (op @ e3 @ e3) @ e1))), 132.87/17.46 inference('lazy_cnf_or', [status(thm)], [zip_derived_cl1014])). 132.87/17.46 thf(zip_derived_cl1071, plain, 132.87/17.46 (( (((mand @ (mbox @ (qmltpeq @ (op @ e1 @ e1) @ e3)) @ 132.87/17.46 (mand @ (mbox @ (qmltpeq @ (op @ e2 @ e2) @ e3)) @ 132.87/17.46 (mbox @ (qmltpeq @ (op @ e3 @ e3) @ e3))) @ 132.87/17.46 '#sk3') & (mbox @ (qmltpeq @ (op @ e0 @ e0) @ e3) @ '#sk3'))) 132.87/17.46 | ('#form2' @ '#sk3' @ (op @ e3 @ e3) @ e1) 132.87/17.46 | ('#form2' @ '#sk3' @ (op @ e3 @ e3) @ e0) 132.87/17.46 | (mand @ (mbox @ (qmltpeq @ (op @ e0 @ e0) @ e2)) @ 132.87/17.46 (mand @ (mbox @ (qmltpeq @ (op @ e1 @ e1) @ e2)) @ 132.87/17.46 (mand @ (mbox @ (qmltpeq @ (op @ e2 @ e2) @ e2)) @ 132.87/17.46 (mbox @ (qmltpeq @ (op @ e3 @ e3) @ e2)))) @ 132.87/17.46 '#sk3'))), 132.87/17.46 inference('rw_clause', [status(thm)], [zip_derived_cl1039, '3'])). 132.87/17.46 thf(zip_derived_cl827, plain, 132.87/17.46 (( (mbox @ (qmltpeq @ (op @ e1 @ e1) @ e0) @ '#sk3') 132.87/17.46 | (((mor @ 132.87/17.46 (mand @ (mbox @ (qmltpeq @ (op @ e0 @ e0) @ e2)) @ 132.87/17.46 (mand @ (mbox @ (qmltpeq @ (op @ e1 @ e1) @ e2)) @ 132.87/17.46 (mand @ (mbox @ (qmltpeq @ (op @ e2 @ e2) @ e2)) @ 132.87/17.46 (mbox @ (qmltpeq @ (op @ e3 @ e3) @ e2))))) @ 132.87/17.46 (mand @ (mbox @ (qmltpeq @ (op @ e0 @ e0) @ e3)) @ 132.87/17.46 (mand @ (mbox @ (qmltpeq @ (op @ e1 @ e1) @ e3)) @ 132.87/17.46 (mand @ (mbox @ (qmltpeq @ (op @ e2 @ e2) @ e3)) @ 132.87/17.46 (mbox @ (qmltpeq @ (op @ e3 @ e3) @ e3))))) @ 132.87/17.46 '#sk3') | (mand @ (mbox @ (qmltpeq @ (op @ e0 @ e0) @ e1)) @ 132.87/17.46 (mand @ (mbox @ (qmltpeq @ (op @ e1 @ e1) @ e1)) @ 132.87/17.46 (mand @ (mbox @ (qmltpeq @ (op @ e2 @ e2) @ e1)) @ 132.87/17.46 (mbox @ (qmltpeq @ (op @ e3 @ e3) @ e1)))) @ 132.87/17.46 '#sk3'))))), 132.87/17.46 inference('lazy_cnf_and', [status(thm)], [zip_derived_cl822])). 132.87/17.46 thf(zip_derived_cl833, plain, 132.87/17.46 (( (((!!) @ (^[Y0 : mworld]: 132.87/17.46 (((mrel @ '#sk3' @ Y0) => (qmltpeq @ (op @ e1 @ e1) @ 132.87/17.46 e0 @ Y0)))))) 132.87/17.46 | (((mor @ 132.87/17.46 (mand @ (mbox @ (qmltpeq @ (op @ e0 @ e0) @ e2)) @ 132.87/17.46 (mand @ (mbox @ (qmltpeq @ (op @ e1 @ e1) @ e2)) @ 132.87/17.46 (mand @ (mbox @ (qmltpeq @ (op @ e2 @ e2) @ e2)) @ 132.87/17.46 (mbox @ (qmltpeq @ (op @ e3 @ e3) @ e2))))) @ 132.87/17.46 (mand @ (mbox @ (qmltpeq @ (op @ e0 @ e0) @ e3)) @ 132.87/17.46 (mand @ (mbox @ (qmltpeq @ (op @ e1 @ e1) @ e3)) @ 132.87/17.46 (mand @ (mbox @ (qmltpeq @ (op @ e2 @ e2) @ e3)) @ 132.87/17.46 (mbox @ (qmltpeq @ (op @ e3 @ e3) @ e3))))) @ 132.87/17.46 '#sk3') | (mand @ (mbox @ (qmltpeq @ (op @ e0 @ e0) @ e1)) @ 132.87/17.46 (mand @ (mbox @ (qmltpeq @ (op @ e1 @ e1) @ e1)) @ 132.87/17.46 (mand @ (mbox @ (qmltpeq @ (op @ e2 @ e2) @ e1)) @ 132.87/17.46 (mbox @ (qmltpeq @ (op @ e3 @ e3) @ e1)))) @ 132.87/17.46 '#sk3'))))), 132.87/17.46 inference('rw_clause', [status(thm)], [zip_derived_cl827, '4'])). 132.87/17.46 thf(zip_derived_cl256, plain, 132.87/17.46 (![X3 : mworld, X6 : $i, X7 : $i]: 132.87/17.46 (~ ('#form2' @ X3 @ X6 @ X7) 132.87/17.46 | (((!!) @ (^[Y0 : mworld]: 132.87/17.46 (((mrel @ X3 @ Y0) => (qmltpeq @ X6 @ X7 @ Y0)))))))), 132.87/17.46 define([status(thm)])). 132.87/17.46 thf(zip_derived_cl190, plain, 132.87/17.46 (![X3 : mworld, X6 : $i, X7 : $i]: 132.87/17.46 ( ('#form2' @ X3 @ X6 @ X7) 132.87/17.46 | ~ (((!!) @ (^[Y0 : mworld]: 132.87/17.46 (((mrel @ X3 @ Y0) => (qmltpeq @ X6 @ X7 @ Y0)))))))), 132.87/17.46 define([status(thm)])). 132.87/17.46 thf(zip_derived_cl840, plain, 132.87/17.46 (( ('#form2' @ '#sk3' @ (op @ e1 @ e1) @ e0) 132.87/17.46 | (((mor @ 132.87/17.46 (mand @ (mbox @ (qmltpeq @ (op @ e0 @ e0) @ e2)) @ 132.87/17.46 (mand @ (mbox @ (qmltpeq @ (op @ e1 @ e1) @ e2)) @ 132.87/17.46 (mand @ (mbox @ (qmltpeq @ (op @ e2 @ e2) @ e2)) @ 132.87/17.46 (mbox @ (qmltpeq @ (op @ e3 @ e3) @ e2))))) @ 132.87/17.46 (mand @ (mbox @ (qmltpeq @ (op @ e0 @ e0) @ e3)) @ 132.87/17.46 (mand @ (mbox @ (qmltpeq @ (op @ e1 @ e1) @ e3)) @ 132.87/17.46 (mand @ (mbox @ (qmltpeq @ (op @ e2 @ e2) @ e3)) @ 132.87/17.46 (mbox @ (qmltpeq @ (op @ e3 @ e3) @ e3))))) @ 132.87/17.46 '#sk3') | (mand @ (mbox @ (qmltpeq @ (op @ e0 @ e0) @ e1)) @ 132.87/17.46 (mand @ (mbox @ (qmltpeq @ (op @ e1 @ e1) @ e1)) @ 132.87/17.46 (mand @ (mbox @ (qmltpeq @ (op @ e2 @ e2) @ e1)) @ 132.87/17.46 (mbox @ (qmltpeq @ (op @ e3 @ e3) @ e1)))) @ 132.87/17.46 '#sk3'))))), 132.87/17.46 inference('renaming', [status(thm)], 132.87/17.46 [zip_derived_cl833, zip_derived_cl256, zip_derived_cl190])). 132.87/17.46 thf(zip_derived_cl848, plain, 132.87/17.46 (( (mor @ 132.87/17.46 (mand @ (mbox @ (qmltpeq @ (op @ e0 @ e0) @ e2)) @ 132.87/17.46 (mand @ (mbox @ (qmltpeq @ (op @ e1 @ e1) @ e2)) @ 132.87/17.46 (mand @ (mbox @ (qmltpeq @ (op @ e2 @ e2) @ e2)) @ 132.87/17.46 (mbox @ (qmltpeq @ (op @ e3 @ e3) @ e2))))) @ 132.87/17.46 (mand @ (mbox @ (qmltpeq @ (op @ e0 @ e0) @ e3)) @ 132.87/17.46 (mand @ (mbox @ (qmltpeq @ (op @ e1 @ e1) @ e3)) @ 132.87/17.46 (mand @ (mbox @ (qmltpeq @ (op @ e2 @ e2) @ e3)) @ 132.87/17.46 (mbox @ (qmltpeq @ (op @ e3 @ e3) @ e3))))) @ 132.87/17.46 '#sk3') 132.87/17.46 | (mand @ (mbox @ (qmltpeq @ (op @ e0 @ e0) @ e1)) @ 132.87/17.46 (mand @ (mbox @ (qmltpeq @ (op @ e1 @ e1) @ e1)) @ 132.87/17.46 (mand @ (mbox @ (qmltpeq @ (op @ e2 @ e2) @ e1)) @ 132.87/17.46 (mbox @ (qmltpeq @ (op @ e3 @ e3) @ e1)))) @ 132.87/17.46 '#sk3') 132.87/17.46 | ('#form2' @ '#sk3' @ (op @ e1 @ e1) @ e0))), 132.87/17.46 inference('lazy_cnf_or', [status(thm)], [zip_derived_cl840])). 132.87/17.46 thf(zip_derived_cl856, plain, 132.87/17.46 (( (((mand @ (mbox @ (qmltpeq @ (op @ e0 @ e0) @ e3)) @ 132.87/17.46 (mand @ (mbox @ (qmltpeq @ (op @ e1 @ e1) @ e3)) @ 132.87/17.46 (mand @ (mbox @ (qmltpeq @ (op @ e2 @ e2) @ e3)) @ 132.87/17.46 (mbox @ (qmltpeq @ (op @ e3 @ e3) @ e3)))) @ 132.87/17.46 '#sk3') | (mand @ (mbox @ (qmltpeq @ (op @ e0 @ e0) @ e2)) @ 132.87/17.46 (mand @ (mbox @ (qmltpeq @ (op @ e1 @ e1) @ e2)) @ 132.87/17.46 (mand @ (mbox @ (qmltpeq @ (op @ e2 @ e2) @ e2)) @ 132.87/17.46 (mbox @ (qmltpeq @ (op @ e3 @ e3) @ e2)))) @ 132.87/17.46 '#sk3'))) 132.87/17.46 | ('#form2' @ '#sk3' @ (op @ e1 @ e1) @ e0) 132.87/17.46 | (mand @ (mbox @ (qmltpeq @ (op @ e0 @ e0) @ e1)) @ 132.87/17.46 (mand @ (mbox @ (qmltpeq @ (op @ e1 @ e1) @ e1)) @ 132.87/17.46 (mand @ (mbox @ (qmltpeq @ (op @ e2 @ e2) @ e1)) @ 132.87/17.46 (mbox @ (qmltpeq @ (op @ e3 @ e3) @ e1)))) @ 132.87/17.46 '#sk3'))), 132.87/17.46 inference('rw_clause', [status(thm)], [zip_derived_cl848, '10'])). 132.87/17.46 thf(zip_derived_cl865, plain, 132.87/17.46 (( (((mand @ (mbox @ (qmltpeq @ (op @ e1 @ e1) @ e1)) @ 132.87/17.46 (mand @ (mbox @ (qmltpeq @ (op @ e2 @ e2) @ e1)) @ 132.87/17.46 (mbox @ (qmltpeq @ (op @ e3 @ e3) @ e1))) @ 132.87/17.46 '#sk3') & (mbox @ (qmltpeq @ (op @ e0 @ e0) @ e1) @ '#sk3'))) 132.87/17.46 | ('#form2' @ '#sk3' @ (op @ e1 @ e1) @ e0) 132.87/17.46 | (((mand @ (mbox @ (qmltpeq @ (op @ e0 @ e0) @ e3)) @ 132.87/17.46 (mand @ (mbox @ (qmltpeq @ (op @ e1 @ e1) @ e3)) @ 132.87/17.46 (mand @ (mbox @ (qmltpeq @ (op @ e2 @ e2) @ e3)) @ 132.87/17.46 (mbox @ (qmltpeq @ (op @ e3 @ e3) @ e3)))) @ 132.87/17.46 '#sk3') | (mand @ (mbox @ (qmltpeq @ (op @ e0 @ e0) @ e2)) @ 132.87/17.46 (mand @ (mbox @ (qmltpeq @ (op @ e1 @ e1) @ e2)) @ 132.87/17.46 (mand @ (mbox @ (qmltpeq @ (op @ e2 @ e2) @ e2)) @ 132.87/17.46 (mbox @ (qmltpeq @ (op @ e3 @ e3) @ e2)))) @ 132.87/17.46 '#sk3'))))), 132.87/17.46 inference('rw_clause', [status(thm)], [zip_derived_cl856, '3'])). 132.87/17.46 thf(zip_derived_cl875, plain, 132.87/17.46 (( (mbox @ (qmltpeq @ (op @ e0 @ e0) @ e1) @ '#sk3') 132.87/17.46 | (((mand @ (mbox @ (qmltpeq @ (op @ e0 @ e0) @ e3)) @ 132.87/17.46 (mand @ (mbox @ (qmltpeq @ (op @ e1 @ e1) @ e3)) @ 132.87/17.46 (mand @ (mbox @ (qmltpeq @ (op @ e2 @ e2) @ e3)) @ 132.87/17.46 (mbox @ (qmltpeq @ (op @ e3 @ e3) @ e3)))) @ 132.87/17.46 '#sk3') | (mand @ (mbox @ (qmltpeq @ (op @ e0 @ e0) @ e2)) @ 132.87/17.46 (mand @ (mbox @ (qmltpeq @ (op @ e1 @ e1) @ e2)) @ 132.87/17.46 (mand @ (mbox @ (qmltpeq @ (op @ e2 @ e2) @ e2)) @ 132.87/17.46 (mbox @ (qmltpeq @ (op @ e3 @ e3) @ e2)))) @ 132.87/17.46 '#sk3'))) 132.87/17.46 | ('#form2' @ '#sk3' @ (op @ e1 @ e1) @ e0))), 132.87/17.46 inference('lazy_cnf_and', [status(thm)], [zip_derived_cl865])). 132.87/17.46 thf(zip_derived_cl886, plain, 132.87/17.46 (( (((!!) @ (^[Y0 : mworld]: 132.87/17.46 (((mrel @ '#sk3' @ Y0) => (qmltpeq @ (op @ e0 @ e0) @ 132.87/17.46 e1 @ Y0)))))) 132.87/17.46 | ('#form2' @ '#sk3' @ (op @ e1 @ e1) @ e0) 132.87/17.46 | (((mand @ (mbox @ (qmltpeq @ (op @ e0 @ e0) @ e3)) @ 132.87/17.46 (mand @ (mbox @ (qmltpeq @ (op @ e1 @ e1) @ e3)) @ 132.87/17.46 (mand @ (mbox @ (qmltpeq @ (op @ e2 @ e2) @ e3)) @ 132.87/17.46 (mbox @ (qmltpeq @ (op @ e3 @ e3) @ e3)))) @ 132.87/17.46 '#sk3') | (mand @ (mbox @ (qmltpeq @ (op @ e0 @ e0) @ e2)) @ 132.87/17.46 (mand @ (mbox @ (qmltpeq @ (op @ e1 @ e1) @ e2)) @ 132.87/17.46 (mand @ (mbox @ (qmltpeq @ (op @ e2 @ e2) @ e2)) @ 132.87/17.46 (mbox @ (qmltpeq @ (op @ e3 @ e3) @ e2)))) @ 132.87/17.46 '#sk3'))))), 132.87/17.46 inference('rw_clause', [status(thm)], [zip_derived_cl875, '4'])). 132.87/17.46 thf(zip_derived_cl256, plain, 132.87/17.46 (![X3 : mworld, X6 : $i, X7 : $i]: 132.87/17.46 (~ ('#form2' @ X3 @ X6 @ X7) 132.87/17.46 | (((!!) @ (^[Y0 : mworld]: 132.87/17.46 (((mrel @ X3 @ Y0) => (qmltpeq @ X6 @ X7 @ Y0)))))))), 132.87/17.46 define([status(thm)])). 132.87/17.46 thf(zip_derived_cl190, plain, 132.87/17.46 (![X3 : mworld, X6 : $i, X7 : $i]: 132.87/17.46 ( ('#form2' @ X3 @ X6 @ X7) 132.87/17.46 | ~ (((!!) @ (^[Y0 : mworld]: 132.87/17.46 (((mrel @ X3 @ Y0) => (qmltpeq @ X6 @ X7 @ Y0)))))))), 132.87/17.46 define([status(thm)])). 132.87/17.46 thf(zip_derived_cl900, plain, 132.87/17.46 (( ('#form2' @ '#sk3' @ (op @ e0 @ e0) @ e1) 132.87/17.46 | (((mand @ (mbox @ (qmltpeq @ (op @ e0 @ e0) @ e3)) @ 132.87/17.46 (mand @ (mbox @ (qmltpeq @ (op @ e1 @ e1) @ e3)) @ 132.87/17.46 (mand @ (mbox @ (qmltpeq @ (op @ e2 @ e2) @ e3)) @ 132.87/17.46 (mbox @ (qmltpeq @ (op @ e3 @ e3) @ e3)))) @ 132.87/17.46 '#sk3') | (mand @ (mbox @ (qmltpeq @ (op @ e0 @ e0) @ e2)) @ 132.87/17.46 (mand @ (mbox @ (qmltpeq @ (op @ e1 @ e1) @ e2)) @ 132.87/17.46 (mand @ (mbox @ (qmltpeq @ (op @ e2 @ e2) @ e2)) @ 132.87/17.46 (mbox @ (qmltpeq @ (op @ e3 @ e3) @ e2)))) @ 132.87/17.46 '#sk3'))) 132.87/17.46 | ('#form2' @ '#sk3' @ (op @ e1 @ e1) @ e0))), 132.87/17.46 inference('renaming', [status(thm)], 132.87/17.46 [zip_derived_cl886, zip_derived_cl256, zip_derived_cl190])). 132.87/17.46 thf(zip_derived_cl915, plain, 132.87/17.46 (( (mand @ (mbox @ (qmltpeq @ (op @ e0 @ e0) @ e3)) @ 132.87/17.46 (mand @ (mbox @ (qmltpeq @ (op @ e1 @ e1) @ e3)) @ 132.87/17.46 (mand @ (mbox @ (qmltpeq @ (op @ e2 @ e2) @ e3)) @ 132.87/17.46 (mbox @ (qmltpeq @ (op @ e3 @ e3) @ e3)))) @ 132.87/17.46 '#sk3') 132.87/17.46 | (mand @ (mbox @ (qmltpeq @ (op @ e0 @ e0) @ e2)) @ 132.87/17.46 (mand @ (mbox @ (qmltpeq @ (op @ e1 @ e1) @ e2)) @ 132.87/17.46 (mand @ (mbox @ (qmltpeq @ (op @ e2 @ e2) @ e2)) @ 132.87/17.46 (mbox @ (qmltpeq @ (op @ e3 @ e3) @ e2)))) @ 132.87/17.46 '#sk3') 132.87/17.46 | ('#form2' @ '#sk3' @ (op @ e1 @ e1) @ e0) 132.87/17.46 | ('#form2' @ '#sk3' @ (op @ e0 @ e0) @ e1))), 132.87/17.46 inference('lazy_cnf_or', [status(thm)], [zip_derived_cl900])). 132.87/17.46 thf(zip_derived_cl933, plain, 132.87/17.46 (( (((mand @ (mbox @ (qmltpeq @ (op @ e1 @ e1) @ e3)) @ 132.87/17.46 (mand @ (mbox @ (qmltpeq @ (op @ e2 @ e2) @ e3)) @ 132.87/17.46 (mbox @ (qmltpeq @ (op @ e3 @ e3) @ e3))) @ 132.87/17.46 '#sk3') & (mbox @ (qmltpeq @ (op @ e0 @ e0) @ e3) @ '#sk3'))) 132.87/17.46 | ('#form2' @ '#sk3' @ (op @ e0 @ e0) @ e1) 132.87/17.46 | ('#form2' @ '#sk3' @ (op @ e1 @ e1) @ e0) 132.87/17.46 | (mand @ (mbox @ (qmltpeq @ (op @ e0 @ e0) @ e2)) @ 132.87/17.46 (mand @ (mbox @ (qmltpeq @ (op @ e1 @ e1) @ e2)) @ 132.87/17.46 (mand @ (mbox @ (qmltpeq @ (op @ e2 @ e2) @ e2)) @ 132.87/17.46 (mbox @ (qmltpeq @ (op @ e3 @ e3) @ e2)))) @ 132.87/17.46 '#sk3'))), 132.87/17.46 inference('rw_clause', [status(thm)], [zip_derived_cl915, '3'])). 132.87/17.46 thf(zip_derived_cl952, plain, 132.87/17.46 ((~ ('#form4') 132.87/17.46 | (((mand @ (mbox @ (qmltpeq @ (op @ e1 @ e1) @ e3)) @ 132.87/17.46 (mand @ (mbox @ (qmltpeq @ (op @ e2 @ e2) @ e3)) @ 132.87/17.46 (mbox @ (qmltpeq @ (op @ e3 @ e3) @ e3))) @ 132.87/17.46 '#sk3') & (mbox @ (qmltpeq @ (op @ e0 @ e0) @ e3) @ '#sk3'))))), 132.87/17.46 define([status(thm)])). 132.87/17.46 thf(zip_derived_cl1100, plain, 132.87/17.46 (( ('#form4') 132.87/17.46 | (mand @ (mbox @ (qmltpeq @ (op @ e0 @ e0) @ e2)) @ 132.87/17.46 (mand @ (mbox @ (qmltpeq @ (op @ e1 @ e1) @ e2)) @ 132.87/17.46 (mand @ (mbox @ (qmltpeq @ (op @ e2 @ e2) @ e2)) @ 132.87/17.46 (mbox @ (qmltpeq @ (op @ e3 @ e3) @ e2)))) @ 132.87/17.46 '#sk3') 132.87/17.46 | ('#form2' @ '#sk3' @ (op @ e3 @ e3) @ e0) 132.87/17.46 | ('#form2' @ '#sk3' @ (op @ e3 @ e3) @ e1))), 132.87/17.46 inference('renaming', [status(thm)], 132.87/17.46 [zip_derived_cl1071, zip_derived_cl952])). 132.87/17.46 thf(zip_derived_cl1137, plain, 132.87/17.46 (( (((mand @ (mbox @ (qmltpeq @ (op @ e1 @ e1) @ e2)) @ 132.87/17.46 (mand @ (mbox @ (qmltpeq @ (op @ e2 @ e2) @ e2)) @ 132.87/17.46 (mbox @ (qmltpeq @ (op @ e3 @ e3) @ e2))) @ 132.87/17.46 '#sk3') & (mbox @ (qmltpeq @ (op @ e0 @ e0) @ e2) @ '#sk3'))) 132.87/17.46 | ('#form2' @ '#sk3' @ (op @ e3 @ e3) @ e1) 132.87/17.46 | ('#form2' @ '#sk3' @ (op @ e3 @ e3) @ e0) 132.87/17.46 | ('#form4'))), 132.87/17.46 inference('rw_clause', [status(thm)], [zip_derived_cl1100, '3'])). 132.87/17.46 thf(zip_derived_cl1165, plain, 132.87/17.46 (( (mand @ (mbox @ (qmltpeq @ (op @ e1 @ e1) @ e2)) @ 132.87/17.46 (mand @ (mbox @ (qmltpeq @ (op @ e2 @ e2) @ e2)) @ 132.87/17.46 (mbox @ (qmltpeq @ (op @ e3 @ e3) @ e2))) @ 132.87/17.46 '#sk3') 132.87/17.46 | ('#form4') 132.87/17.46 | ('#form2' @ '#sk3' @ (op @ e3 @ e3) @ e0) 132.87/17.46 | ('#form2' @ '#sk3' @ (op @ e3 @ e3) @ e1))), 132.87/17.46 inference('lazy_cnf_and', [status(thm)], [zip_derived_cl1137])). 132.87/17.46 thf(zip_derived_cl1204, plain, 132.87/17.46 (( (((mand @ (mbox @ (qmltpeq @ (op @ e2 @ e2) @ e2)) @ 132.87/17.46 (mbox @ (qmltpeq @ (op @ e3 @ e3) @ e2)) @ '#sk3') & (mbox @ 132.87/17.46 (qmltpeq @ (op @ e1 @ e1) @ e2) @ '#sk3'))) 132.87/17.46 | ('#form2' @ '#sk3' @ (op @ e3 @ e3) @ e1) 132.87/17.46 | ('#form2' @ '#sk3' @ (op @ e3 @ e3) @ e0) 132.87/17.46 | ('#form4'))), 132.87/17.46 inference('rw_clause', [status(thm)], [zip_derived_cl1165, '3'])). 132.87/17.46 thf(zip_derived_cl1230, plain, 132.87/17.46 (( (mand @ (mbox @ (qmltpeq @ (op @ e2 @ e2) @ e2)) @ 132.87/17.46 (mbox @ (qmltpeq @ (op @ e3 @ e3) @ e2)) @ '#sk3') 132.87/17.46 | ('#form4') 132.87/17.46 | ('#form2' @ '#sk3' @ (op @ e3 @ e3) @ e0) 132.87/17.46 | ('#form2' @ '#sk3' @ (op @ e3 @ e3) @ e1))), 132.87/17.46 inference('lazy_cnf_and', [status(thm)], [zip_derived_cl1204])). 132.87/17.46 thf(zip_derived_cl1264, plain, 132.87/17.46 (( (((mbox @ (qmltpeq @ (op @ e3 @ e3) @ e2) @ '#sk3') & (mbox @ 132.87/17.46 (qmltpeq @ (op @ e2 @ e2) @ e2) @ '#sk3'))) 132.87/17.46 | ('#form2' @ '#sk3' @ (op @ e3 @ e3) @ e1) 132.87/17.46 | ('#form2' @ '#sk3' @ (op @ e3 @ e3) @ e0) 132.87/17.46 | ('#form4'))), 132.87/17.46 inference('rw_clause', [status(thm)], [zip_derived_cl1230, '3'])). 132.87/17.46 thf(zip_derived_cl1280, plain, 132.87/17.46 (( (mbox @ (qmltpeq @ (op @ e3 @ e3) @ e2) @ '#sk3') 132.87/17.46 | ('#form4') 132.87/17.46 | ('#form2' @ '#sk3' @ (op @ e3 @ e3) @ e0) 132.87/17.46 | ('#form2' @ '#sk3' @ (op @ e3 @ e3) @ e1))), 132.87/17.46 inference('lazy_cnf_and', [status(thm)], [zip_derived_cl1264])). 132.87/17.46 thf(zip_derived_cl1300, plain, 132.87/17.46 (( (((!!) @ (^[Y0 : mworld]: 132.87/17.46 (((mrel @ '#sk3' @ Y0) => (qmltpeq @ (op @ e3 @ e3) @ 132.87/17.46 e2 @ Y0)))))) 132.87/17.46 | ('#form2' @ '#sk3' @ (op @ e3 @ e3) @ e1) 132.87/17.46 | ('#form2' @ '#sk3' @ (op @ e3 @ e3) @ e0) 132.87/17.46 | ('#form4'))), 132.87/17.46 inference('rw_clause', [status(thm)], [zip_derived_cl1280, '4'])). 132.87/17.46 thf(zip_derived_cl256, plain, 132.87/17.46 (![X3 : mworld, X6 : $i, X7 : $i]: 132.87/17.46 (~ ('#form2' @ X3 @ X6 @ X7) 132.87/17.46 | (((!!) @ (^[Y0 : mworld]: 132.87/17.46 (((mrel @ X3 @ Y0) => (qmltpeq @ X6 @ X7 @ Y0)))))))), 132.87/17.46 define([status(thm)])). 132.87/17.46 thf(zip_derived_cl190, plain, 132.87/17.46 (![X3 : mworld, X6 : $i, X7 : $i]: 132.87/17.46 ( ('#form2' @ X3 @ X6 @ X7) 132.87/17.46 | ~ (((!!) @ (^[Y0 : mworld]: 132.87/17.46 (((mrel @ X3 @ Y0) => (qmltpeq @ X6 @ X7 @ Y0)))))))), 132.87/17.46 define([status(thm)])). 132.87/17.46 thf(zip_derived_cl1308, plain, 132.87/17.46 (( ('#form2' @ '#sk3' @ (op @ e3 @ e3) @ e2) 132.87/17.46 | ('#form4') 132.87/17.46 | ('#form2' @ '#sk3' @ (op @ e3 @ e3) @ e0) 132.87/17.46 | ('#form2' @ '#sk3' @ (op @ e3 @ e3) @ e1))), 132.87/17.46 inference('renaming', [status(thm)], 132.87/17.46 [zip_derived_cl1300, zip_derived_cl256, zip_derived_cl190])). 132.87/17.46 thf(zip_derived_cl952, plain, 132.87/17.46 ((~ ('#form4') 132.87/17.46 | (((mand @ (mbox @ (qmltpeq @ (op @ e1 @ e1) @ e3)) @ 132.87/17.46 (mand @ (mbox @ (qmltpeq @ (op @ e2 @ e2) @ e3)) @ 132.87/17.46 (mbox @ (qmltpeq @ (op @ e3 @ e3) @ e3))) @ 132.87/17.46 '#sk3') & (mbox @ (qmltpeq @ (op @ e0 @ e0) @ e3) @ '#sk3'))))), 132.87/17.46 define([status(thm)])). 132.87/17.46 thf(zip_derived_cl953, plain, 132.87/17.46 (( (mand @ (mbox @ (qmltpeq @ (op @ e1 @ e1) @ e3)) @ 132.87/17.46 (mand @ (mbox @ (qmltpeq @ (op @ e2 @ e2) @ e3)) @ 132.87/17.46 (mbox @ (qmltpeq @ (op @ e3 @ e3) @ e3))) @ 132.87/17.46 '#sk3') 132.87/17.46 | ~ ('#form4'))), 132.87/17.46 inference('lazy_cnf_and', [status(thm)], [zip_derived_cl952])). 132.87/17.46 thf(zip_derived_cl977, plain, 132.87/17.46 (( (((mand @ (mbox @ (qmltpeq @ (op @ e2 @ e2) @ e3)) @ 132.87/17.46 (mbox @ (qmltpeq @ (op @ e3 @ e3) @ e3)) @ '#sk3') & (mbox @ 132.87/17.46 (qmltpeq @ (op @ e1 @ e1) @ e3) @ '#sk3'))) 132.87/17.46 | ~ ('#form4'))), 132.87/17.46 inference('rw_clause', [status(thm)], [zip_derived_cl953, '3'])). 132.87/17.46 thf(zip_derived_cl1001, plain, 132.87/17.46 (( (mand @ (mbox @ (qmltpeq @ (op @ e2 @ e2) @ e3)) @ 132.87/17.46 (mbox @ (qmltpeq @ (op @ e3 @ e3) @ e3)) @ '#sk3') 132.87/17.46 | ~ ('#form4'))), 132.87/17.46 inference('lazy_cnf_and', [status(thm)], [zip_derived_cl977])). 132.87/17.46 thf(zip_derived_cl1027, plain, 132.87/17.46 (( (((mbox @ (qmltpeq @ (op @ e3 @ e3) @ e3) @ '#sk3') & (mbox @ 132.87/17.46 (qmltpeq @ (op @ e2 @ e2) @ e3) @ '#sk3'))) 132.87/17.46 | ~ ('#form4'))), 132.87/17.46 inference('rw_clause', [status(thm)], [zip_derived_cl1001, '3'])). 132.87/17.46 thf(zip_derived_cl1056, plain, 132.87/17.46 (( (mbox @ (qmltpeq @ (op @ e3 @ e3) @ e3) @ '#sk3') | ~ ('#form4'))), 132.87/17.46 inference('lazy_cnf_and', [status(thm)], [zip_derived_cl1027])). 132.87/17.46 thf(zip_derived_cl1087, plain, 132.87/17.46 (( (((!!) @ (^[Y0 : mworld]: 132.87/17.46 (((mrel @ '#sk3' @ Y0) => (qmltpeq @ (op @ e3 @ e3) @ 132.87/17.46 e3 @ Y0)))))) 132.87/17.46 | ~ ('#form4'))), 132.87/17.46 inference('rw_clause', [status(thm)], [zip_derived_cl1056, '4'])). 132.87/17.46 thf(zip_derived_cl1124, plain, 132.87/17.46 (![X2 : mworld]: 132.87/17.46 ( (((mrel @ '#sk3' @ X2) => (qmltpeq @ (op @ e3 @ e3) @ e3 @ X2))) 132.87/17.46 | ~ ('#form4'))), 132.87/17.46 inference('lazy_cnf_forall', [status(thm)], [zip_derived_cl1087])). 132.87/17.46 thf(zip_derived_cl1157, plain, 132.87/17.46 (![X2 : mworld]: 132.87/17.46 (~ (mrel @ '#sk3' @ X2) 132.87/17.46 | (qmltpeq @ (op @ e3 @ e3) @ e3 @ X2) 132.87/17.46 | ~ ('#form4'))), 132.87/17.46 inference('lazy_cnf_imply', [status(thm)], [zip_derived_cl1124])). 132.87/17.46 thf(zip_derived_cl1057, plain, 132.87/17.46 (( (mbox @ (qmltpeq @ (op @ e2 @ e2) @ e3) @ '#sk3') | ~ ('#form4'))), 132.87/17.46 inference('lazy_cnf_and', [status(thm)], [zip_derived_cl1027])). 132.87/17.46 thf(zip_derived_cl1088, plain, 132.87/17.46 (( (((!!) @ (^[Y0 : mworld]: 132.87/17.46 (((mrel @ '#sk3' @ Y0) => (qmltpeq @ (op @ e2 @ e2) @ 132.87/17.46 e3 @ Y0)))))) 132.87/17.46 | ~ ('#form4'))), 132.87/17.46 inference('rw_clause', [status(thm)], [zip_derived_cl1057, '4'])). 132.87/17.46 thf(zip_derived_cl1125, plain, 132.87/17.46 (![X2 : mworld]: 132.87/17.46 ( (((mrel @ '#sk3' @ X2) => (qmltpeq @ (op @ e2 @ e2) @ e3 @ X2))) 132.87/17.46 | ~ ('#form4'))), 132.87/17.46 inference('lazy_cnf_forall', [status(thm)], [zip_derived_cl1088])). 132.87/17.46 thf(zip_derived_cl1158, plain, 132.87/17.46 (![X2 : mworld]: 132.87/17.46 (~ (mrel @ '#sk3' @ X2) 132.87/17.46 | (qmltpeq @ (op @ e2 @ e2) @ e3 @ X2) 132.87/17.46 | ~ ('#form4'))), 132.87/17.46 inference('lazy_cnf_imply', [status(thm)], [zip_derived_cl1125])). 132.87/17.46 thf(zip_derived_cl1002, plain, 132.87/17.46 (( (mbox @ (qmltpeq @ (op @ e1 @ e1) @ e3) @ '#sk3') | ~ ('#form4'))), 132.87/17.46 inference('lazy_cnf_and', [status(thm)], [zip_derived_cl977])). 132.87/17.46 thf(zip_derived_cl1028, plain, 132.87/17.46 (( (((!!) @ (^[Y0 : mworld]: 132.87/17.46 (((mrel @ '#sk3' @ Y0) => (qmltpeq @ (op @ e1 @ e1) @ 132.87/17.46 e3 @ Y0)))))) 132.87/17.46 | ~ ('#form4'))), 132.87/17.46 inference('rw_clause', [status(thm)], [zip_derived_cl1002, '4'])). 132.87/17.46 thf(zip_derived_cl1058, plain, 132.87/17.46 (![X2 : mworld]: 132.87/17.46 ( (((mrel @ '#sk3' @ X2) => (qmltpeq @ (op @ e1 @ e1) @ e3 @ X2))) 132.87/17.46 | ~ ('#form4'))), 132.87/17.46 inference('lazy_cnf_forall', [status(thm)], [zip_derived_cl1028])). 132.87/17.46 thf(zip_derived_cl1089, plain, 132.87/17.46 (![X2 : mworld]: 132.87/17.46 (~ (mrel @ '#sk3' @ X2) 132.87/17.46 | (qmltpeq @ (op @ e1 @ e1) @ e3 @ X2) 132.87/17.46 | ~ ('#form4'))), 132.87/17.46 inference('lazy_cnf_imply', [status(thm)], [zip_derived_cl1058])). 132.87/17.46 thf(zip_derived_cl954, plain, 132.87/17.46 (( (mbox @ (qmltpeq @ (op @ e0 @ e0) @ e3) @ '#sk3') | ~ ('#form4'))), 132.87/17.46 inference('lazy_cnf_and', [status(thm)], [zip_derived_cl952])). 132.87/17.46 thf(zip_derived_cl978, plain, 132.87/17.46 (( (((!!) @ (^[Y0 : mworld]: 132.87/17.46 (((mrel @ '#sk3' @ Y0) => (qmltpeq @ (op @ e0 @ e0) @ 132.87/17.46 e3 @ Y0)))))) 132.87/17.46 | ~ ('#form4'))), 132.87/17.46 inference('rw_clause', [status(thm)], [zip_derived_cl954, '4'])). 132.87/17.46 thf(zip_derived_cl1003, plain, 132.87/17.46 (![X2 : mworld]: 132.87/17.46 ( (((mrel @ '#sk3' @ X2) => (qmltpeq @ (op @ e0 @ e0) @ e3 @ X2))) 132.87/17.46 | ~ ('#form4'))), 132.87/17.46 inference('lazy_cnf_forall', [status(thm)], [zip_derived_cl978])). 132.87/17.46 thf(zip_derived_cl1029, plain, 132.87/17.46 (![X2 : mworld]: 132.87/17.46 (~ (mrel @ '#sk3' @ X2) 132.87/17.46 | (qmltpeq @ (op @ e0 @ e0) @ e3 @ X2) 132.87/17.46 | ~ ('#form4'))), 132.87/17.46 inference('lazy_cnf_imply', [status(thm)], [zip_derived_cl1003])). 132.87/17.46 thf(zip_derived_cl925, plain, 132.87/17.46 (( (mbox @ (qmltpeq @ (op @ e1 @ e1) @ e1) @ '#sk3') 132.87/17.46 | (((mand @ (mbox @ (qmltpeq @ (op @ e0 @ e0) @ e3)) @ 132.87/17.46 (mand @ (mbox @ (qmltpeq @ (op @ e1 @ e1) @ e3)) @ 132.87/17.46 (mand @ (mbox @ (qmltpeq @ (op @ e2 @ e2) @ e3)) @ 132.87/17.46 (mbox @ (qmltpeq @ (op @ e3 @ e3) @ e3)))) @ 132.87/17.46 '#sk3') | (mand @ (mbox @ (qmltpeq @ (op @ e0 @ e0) @ e2)) @ 132.87/17.46 (mand @ (mbox @ (qmltpeq @ (op @ e1 @ e1) @ e2)) @ 132.87/17.46 (mand @ (mbox @ (qmltpeq @ (op @ e2 @ e2) @ e2)) @ 132.87/17.46 (mbox @ (qmltpeq @ (op @ e3 @ e3) @ e2)))) @ 132.87/17.46 '#sk3'))) 132.87/17.46 | ('#form2' @ '#sk3' @ (op @ e3 @ e3) @ e0))), 132.87/17.46 inference('lazy_cnf_and', [status(thm)], [zip_derived_cl909])). 132.87/17.46 thf(zip_derived_cl944, plain, 132.87/17.46 (( (((!!) @ (^[Y0 : mworld]: 132.87/17.46 (((mrel @ '#sk3' @ Y0) => (qmltpeq @ (op @ e1 @ e1) @ 132.87/17.46 e1 @ Y0)))))) 132.87/17.46 | ('#form2' @ '#sk3' @ (op @ e3 @ e3) @ e0) 132.87/17.46 | (((mand @ (mbox @ (qmltpeq @ (op @ e0 @ e0) @ e3)) @ 132.87/17.46 (mand @ (mbox @ (qmltpeq @ (op @ e1 @ e1) @ e3)) @ 132.87/17.46 (mand @ (mbox @ (qmltpeq @ (op @ e2 @ e2) @ e3)) @ 132.87/17.46 (mbox @ (qmltpeq @ (op @ e3 @ e3) @ e3)))) @ 132.87/17.46 '#sk3') | (mand @ (mbox @ (qmltpeq @ (op @ e0 @ e0) @ e2)) @ 132.87/17.46 (mand @ (mbox @ (qmltpeq @ (op @ e1 @ e1) @ e2)) @ 132.87/17.46 (mand @ (mbox @ (qmltpeq @ (op @ e2 @ e2) @ e2)) @ 132.87/17.46 (mbox @ (qmltpeq @ (op @ e3 @ e3) @ e2)))) @ 132.87/17.46 '#sk3'))))), 132.87/17.46 inference('rw_clause', [status(thm)], [zip_derived_cl925, '4'])). 132.87/17.46 thf(zip_derived_cl256, plain, 132.87/17.46 (![X3 : mworld, X6 : $i, X7 : $i]: 132.87/17.46 (~ ('#form2' @ X3 @ X6 @ X7) 132.87/17.46 | (((!!) @ (^[Y0 : mworld]: 132.87/17.46 (((mrel @ X3 @ Y0) => (qmltpeq @ X6 @ X7 @ Y0)))))))), 132.87/17.46 define([status(thm)])). 132.87/17.46 thf(zip_derived_cl190, plain, 132.87/17.46 (![X3 : mworld, X6 : $i, X7 : $i]: 132.87/17.46 ( ('#form2' @ X3 @ X6 @ X7) 132.87/17.46 | ~ (((!!) @ (^[Y0 : mworld]: 132.87/17.46 (((mrel @ X3 @ Y0) => (qmltpeq @ X6 @ X7 @ Y0)))))))), 132.87/17.46 define([status(thm)])). 132.87/17.46 thf(zip_derived_cl967, plain, 132.87/17.46 (( ('#form2' @ '#sk3' @ (op @ e1 @ e1) @ e1) 132.87/17.46 | (((mand @ (mbox @ (qmltpeq @ (op @ e0 @ e0) @ e3)) @ 132.87/17.46 (mand @ (mbox @ (qmltpeq @ (op @ e1 @ e1) @ e3)) @ 132.87/17.46 (mand @ (mbox @ (qmltpeq @ (op @ e2 @ e2) @ e3)) @ 132.87/17.46 (mbox @ (qmltpeq @ (op @ e3 @ e3) @ e3)))) @ 132.87/17.46 '#sk3') | (mand @ (mbox @ (qmltpeq @ (op @ e0 @ e0) @ e2)) @ 132.87/17.46 (mand @ (mbox @ (qmltpeq @ (op @ e1 @ e1) @ e2)) @ 132.87/17.46 (mand @ (mbox @ (qmltpeq @ (op @ e2 @ e2) @ e2)) @ 132.87/17.46 (mbox @ (qmltpeq @ (op @ e3 @ e3) @ e2)))) @ 132.87/17.46 '#sk3'))) 132.87/17.46 | ('#form2' @ '#sk3' @ (op @ e3 @ e3) @ e0))), 132.87/17.46 inference('renaming', [status(thm)], 132.87/17.46 [zip_derived_cl944, zip_derived_cl256, zip_derived_cl190])). 132.87/17.46 thf(zip_derived_cl990, plain, 132.87/17.46 (( (mand @ (mbox @ (qmltpeq @ (op @ e0 @ e0) @ e3)) @ 132.87/17.46 (mand @ (mbox @ (qmltpeq @ (op @ e1 @ e1) @ e3)) @ 132.87/17.46 (mand @ (mbox @ (qmltpeq @ (op @ e2 @ e2) @ e3)) @ 132.87/17.46 (mbox @ (qmltpeq @ (op @ e3 @ e3) @ e3)))) @ 132.87/17.46 '#sk3') 132.87/17.46 | (mand @ (mbox @ (qmltpeq @ (op @ e0 @ e0) @ e2)) @ 132.87/17.46 (mand @ (mbox @ (qmltpeq @ (op @ e1 @ e1) @ e2)) @ 132.87/17.46 (mand @ (mbox @ (qmltpeq @ (op @ e2 @ e2) @ e2)) @ 132.87/17.46 (mbox @ (qmltpeq @ (op @ e3 @ e3) @ e2)))) @ 132.87/17.46 '#sk3') 132.87/17.46 | ('#form2' @ '#sk3' @ (op @ e3 @ e3) @ e0) 132.87/17.46 | ('#form2' @ '#sk3' @ (op @ e1 @ e1) @ e1))), 132.87/17.46 inference('lazy_cnf_or', [status(thm)], [zip_derived_cl967])). 132.87/17.46 thf(zip_derived_cl1016, plain, 132.87/17.46 (( (((mand @ (mbox @ (qmltpeq @ (op @ e1 @ e1) @ e3)) @ 132.87/17.46 (mand @ (mbox @ (qmltpeq @ (op @ e2 @ e2) @ e3)) @ 132.87/17.46 (mbox @ (qmltpeq @ (op @ e3 @ e3) @ e3))) @ 132.87/17.46 '#sk3') & (mbox @ (qmltpeq @ (op @ e0 @ e0) @ e3) @ '#sk3'))) 132.87/17.46 | ('#form2' @ '#sk3' @ (op @ e1 @ e1) @ e1) 132.87/17.46 | ('#form2' @ '#sk3' @ (op @ e3 @ e3) @ e0) 132.87/17.46 | (mand @ (mbox @ (qmltpeq @ (op @ e0 @ e0) @ e2)) @ 132.87/17.46 (mand @ (mbox @ (qmltpeq @ (op @ e1 @ e1) @ e2)) @ 132.87/17.46 (mand @ (mbox @ (qmltpeq @ (op @ e2 @ e2) @ e2)) @ 132.87/17.46 (mbox @ (qmltpeq @ (op @ e3 @ e3) @ e2)))) @ 132.87/17.46 '#sk3'))), 132.87/17.46 inference('rw_clause', [status(thm)], [zip_derived_cl990, '3'])). 132.87/17.46 thf(zip_derived_cl952, plain, 132.87/17.46 ((~ ('#form4') 132.87/17.46 | (((mand @ (mbox @ (qmltpeq @ (op @ e1 @ e1) @ e3)) @ 132.87/17.46 (mand @ (mbox @ (qmltpeq @ (op @ e2 @ e2) @ e3)) @ 132.87/17.46 (mbox @ (qmltpeq @ (op @ e3 @ e3) @ e3))) @ 132.87/17.46 '#sk3') & (mbox @ (qmltpeq @ (op @ e0 @ e0) @ e3) @ '#sk3'))))), 132.87/17.46 define([status(thm)])). 132.87/17.46 thf(zip_derived_cl1041, plain, 132.87/17.46 (( ('#form4') 132.87/17.46 | (mand @ (mbox @ (qmltpeq @ (op @ e0 @ e0) @ e2)) @ 132.87/17.46 (mand @ (mbox @ (qmltpeq @ (op @ e1 @ e1) @ e2)) @ 132.87/17.46 (mand @ (mbox @ (qmltpeq @ (op @ e2 @ e2) @ e2)) @ 132.87/17.46 (mbox @ (qmltpeq @ (op @ e3 @ e3) @ e2)))) @ 132.87/17.46 '#sk3') 132.87/17.46 | ('#form2' @ '#sk3' @ (op @ e3 @ e3) @ e0) 132.87/17.46 | ('#form2' @ '#sk3' @ (op @ e1 @ e1) @ e1))), 132.87/17.46 inference('renaming', [status(thm)], 132.87/17.46 [zip_derived_cl1016, zip_derived_cl952])). 132.87/17.46 thf(zip_derived_cl1073, plain, 132.87/17.46 (( (((mand @ (mbox @ (qmltpeq @ (op @ e1 @ e1) @ e2)) @ 132.87/17.46 (mand @ (mbox @ (qmltpeq @ (op @ e2 @ e2) @ e2)) @ 132.87/17.46 (mbox @ (qmltpeq @ (op @ e3 @ e3) @ e2))) @ 132.87/17.46 '#sk3') & (mbox @ (qmltpeq @ (op @ e0 @ e0) @ e2) @ '#sk3'))) 132.87/17.46 | ('#form2' @ '#sk3' @ (op @ e1 @ e1) @ e1) 132.87/17.46 | ('#form2' @ '#sk3' @ (op @ e3 @ e3) @ e0) 132.87/17.46 | ('#form4'))), 132.87/17.46 inference('rw_clause', [status(thm)], [zip_derived_cl1041, '3'])). 132.87/17.46 thf(zip_derived_cl1102, plain, 132.87/17.46 (( (mand @ (mbox @ (qmltpeq @ (op @ e1 @ e1) @ e2)) @ 132.87/17.46 (mand @ (mbox @ (qmltpeq @ (op @ e2 @ e2) @ e2)) @ 132.87/17.46 (mbox @ (qmltpeq @ (op @ e3 @ e3) @ e2))) @ 132.87/17.46 '#sk3') 132.87/17.46 | ('#form4') 132.87/17.46 | ('#form2' @ '#sk3' @ (op @ e3 @ e3) @ e0) 132.87/17.46 | ('#form2' @ '#sk3' @ (op @ e1 @ e1) @ e1))), 132.87/17.46 inference('lazy_cnf_and', [status(thm)], [zip_derived_cl1073])). 132.87/17.46 thf(zip_derived_cl1139, plain, 132.87/17.46 (( (((mand @ (mbox @ (qmltpeq @ (op @ e2 @ e2) @ e2)) @ 132.87/17.46 (mbox @ (qmltpeq @ (op @ e3 @ e3) @ e2)) @ '#sk3') & (mbox @ 132.87/17.46 (qmltpeq @ (op @ e1 @ e1) @ e2) @ '#sk3'))) 132.87/17.46 | ('#form2' @ '#sk3' @ (op @ e1 @ e1) @ e1) 132.87/17.46 | ('#form2' @ '#sk3' @ (op @ e3 @ e3) @ e0) 132.87/17.46 | ('#form4'))), 132.87/17.46 inference('rw_clause', [status(thm)], [zip_derived_cl1102, '3'])). 132.87/17.46 thf(zip_derived_cl1169, plain, 132.87/17.46 (( (mand @ (mbox @ (qmltpeq @ (op @ e2 @ e2) @ e2)) @ 132.87/17.46 (mbox @ (qmltpeq @ (op @ e3 @ e3) @ e2)) @ '#sk3') 132.87/17.46 | ('#form4') 132.87/17.46 | ('#form2' @ '#sk3' @ (op @ e3 @ e3) @ e0) 132.87/17.46 | ('#form2' @ '#sk3' @ (op @ e1 @ e1) @ e1))), 132.87/17.46 inference('lazy_cnf_and', [status(thm)], [zip_derived_cl1139])). 132.87/17.46 thf(zip_derived_cl1208, plain, 132.87/17.46 (( (((mbox @ (qmltpeq @ (op @ e3 @ e3) @ e2) @ '#sk3') & (mbox @ 132.87/17.46 (qmltpeq @ (op @ e2 @ e2) @ e2) @ '#sk3'))) 132.87/17.46 | ('#form2' @ '#sk3' @ (op @ e1 @ e1) @ e1) 132.87/17.46 | ('#form2' @ '#sk3' @ (op @ e3 @ e3) @ e0) 132.87/17.46 | ('#form4'))), 132.87/17.46 inference('rw_clause', [status(thm)], [zip_derived_cl1169, '3'])). 132.87/17.46 thf(zip_derived_cl1236, plain, 132.87/17.46 (( (mbox @ (qmltpeq @ (op @ e3 @ e3) @ e2) @ '#sk3') 132.87/17.46 | ('#form4') 132.87/17.46 | ('#form2' @ '#sk3' @ (op @ e3 @ e3) @ e0) 132.87/17.46 | ('#form2' @ '#sk3' @ (op @ e1 @ e1) @ e1))), 132.87/17.46 inference('lazy_cnf_and', [status(thm)], [zip_derived_cl1208])). 132.87/17.46 thf(zip_derived_cl1268, plain, 132.87/17.46 (( (((!!) @ (^[Y0 : mworld]: 132.87/17.46 (((mrel @ '#sk3' @ Y0) => (qmltpeq @ (op @ e3 @ e3) @ 132.87/17.46 e2 @ Y0)))))) 132.87/17.46 | ('#form2' @ '#sk3' @ (op @ e1 @ e1) @ e1) 132.87/17.46 | ('#form2' @ '#sk3' @ (op @ e3 @ e3) @ e0) 132.87/17.46 | ('#form4'))), 132.87/17.46 inference('rw_clause', [status(thm)], [zip_derived_cl1236, '4'])). 132.87/17.46 thf(zip_derived_cl256, plain, 132.87/17.46 (![X3 : mworld, X6 : $i, X7 : $i]: 132.87/17.46 (~ ('#form2' @ X3 @ X6 @ X7) 132.87/17.46 | (((!!) @ (^[Y0 : mworld]: 132.87/17.46 (((mrel @ X3 @ Y0) => (qmltpeq @ X6 @ X7 @ Y0)))))))), 132.87/17.46 define([status(thm)])). 132.87/17.46 thf(zip_derived_cl190, plain, 132.87/17.46 (![X3 : mworld, X6 : $i, X7 : $i]: 132.87/17.46 ( ('#form2' @ X3 @ X6 @ X7) 132.87/17.46 | ~ (((!!) @ (^[Y0 : mworld]: 132.87/17.46 (((mrel @ X3 @ Y0) => (qmltpeq @ X6 @ X7 @ Y0)))))))), 132.87/17.46 define([status(thm)])). 132.87/17.46 thf(zip_derived_cl1286, plain, 132.87/17.46 (( ('#form2' @ '#sk3' @ (op @ e3 @ e3) @ e2) 132.87/17.46 | ('#form4') 132.87/17.46 | ('#form2' @ '#sk3' @ (op @ e3 @ e3) @ e0) 132.87/17.46 | ('#form2' @ '#sk3' @ (op @ e1 @ e1) @ e1))), 132.87/17.46 inference('renaming', [status(thm)], 132.87/17.46 [zip_derived_cl1268, zip_derived_cl256, zip_derived_cl190])). 132.87/17.46 thf(zip_derived_cl1231, plain, 132.87/17.46 (( (mbox @ (qmltpeq @ (op @ e1 @ e1) @ e2) @ '#sk3') 132.87/17.46 | ('#form4') 132.87/17.46 | ('#form2' @ '#sk3' @ (op @ e3 @ e3) @ e0) 132.87/17.46 | ('#form2' @ '#sk3' @ (op @ e3 @ e3) @ e1))), 132.87/17.46 inference('lazy_cnf_and', [status(thm)], [zip_derived_cl1204])). 132.87/17.46 thf(zip_derived_cl1265, plain, 132.87/17.46 (( (((!!) @ (^[Y0 : mworld]: 132.87/17.46 (((mrel @ '#sk3' @ Y0) => (qmltpeq @ (op @ e1 @ e1) @ 132.87/17.46 e2 @ Y0)))))) 132.87/17.46 | ('#form2' @ '#sk3' @ (op @ e3 @ e3) @ e1) 132.87/17.46 | ('#form2' @ '#sk3' @ (op @ e3 @ e3) @ e0) 132.87/17.46 | ('#form4'))), 132.87/17.46 inference('rw_clause', [status(thm)], [zip_derived_cl1231, '4'])). 132.87/17.46 thf(zip_derived_cl256, plain, 132.87/17.46 (![X3 : mworld, X6 : $i, X7 : $i]: 132.87/17.46 (~ ('#form2' @ X3 @ X6 @ X7) 132.87/17.46 | (((!!) @ (^[Y0 : mworld]: 132.87/17.46 (((mrel @ X3 @ Y0) => (qmltpeq @ X6 @ X7 @ Y0)))))))), 132.87/17.46 define([status(thm)])). 132.87/17.46 thf(zip_derived_cl190, plain, 132.87/17.46 (![X3 : mworld, X6 : $i, X7 : $i]: 132.87/17.46 ( ('#form2' @ X3 @ X6 @ X7) 132.87/17.46 | ~ (((!!) @ (^[Y0 : mworld]: 132.87/17.46 (((mrel @ X3 @ Y0) => (qmltpeq @ X6 @ X7 @ Y0)))))))), 132.87/17.46 define([status(thm)])). 132.87/17.46 thf(zip_derived_cl1282, plain, 132.87/17.46 (( ('#form2' @ '#sk3' @ (op @ e1 @ e1) @ e2) 132.87/17.46 | ('#form4') 132.87/17.46 | ('#form2' @ '#sk3' @ (op @ e3 @ e3) @ e0) 132.87/17.46 | ('#form2' @ '#sk3' @ (op @ e3 @ e3) @ e1))), 132.87/17.46 inference('renaming', [status(thm)], 132.87/17.46 [zip_derived_cl1265, zip_derived_cl256, zip_derived_cl190])). 132.87/17.46 thf(zip_derived_cl1170, plain, 132.87/17.46 (( (mbox @ (qmltpeq @ (op @ e1 @ e1) @ e2) @ '#sk3') 132.87/17.46 | ('#form4') 132.87/17.46 | ('#form2' @ '#sk3' @ (op @ e3 @ e3) @ e0) 132.87/17.46 | ('#form2' @ '#sk3' @ (op @ e1 @ e1) @ e1))), 132.87/17.46 inference('lazy_cnf_and', [status(thm)], [zip_derived_cl1139])). 132.87/17.46 thf(zip_derived_cl1209, plain, 132.87/17.46 (( (((!!) @ (^[Y0 : mworld]: 132.87/17.46 (((mrel @ '#sk3' @ Y0) => (qmltpeq @ (op @ e1 @ e1) @ 132.87/17.46 e2 @ Y0)))))) 132.87/17.46 | ('#form2' @ '#sk3' @ (op @ e1 @ e1) @ e1) 132.87/17.46 | ('#form2' @ '#sk3' @ (op @ e3 @ e3) @ e0) 132.87/17.46 | ('#form4'))), 132.87/17.46 inference('rw_clause', [status(thm)], [zip_derived_cl1170, '4'])). 132.87/17.46 thf(zip_derived_cl256, plain, 132.87/17.46 (![X3 : mworld, X6 : $i, X7 : $i]: 132.87/17.46 (~ ('#form2' @ X3 @ X6 @ X7) 132.87/17.46 | (((!!) @ (^[Y0 : mworld]: 132.87/17.46 (((mrel @ X3 @ Y0) => (qmltpeq @ X6 @ X7 @ Y0)))))))), 132.87/17.46 define([status(thm)])). 132.87/17.46 thf(zip_derived_cl190, plain, 132.87/17.46 (![X3 : mworld, X6 : $i, X7 : $i]: 132.87/17.46 ( ('#form2' @ X3 @ X6 @ X7) 132.87/17.46 | ~ (((!!) @ (^[Y0 : mworld]: 132.87/17.46 (((mrel @ X3 @ Y0) => (qmltpeq @ X6 @ X7 @ Y0)))))))), 132.87/17.46 define([status(thm)])). 132.87/17.46 thf(zip_derived_cl1238, plain, 132.87/17.46 (( ('#form2' @ '#sk3' @ (op @ e1 @ e1) @ e2) 132.87/17.46 | ('#form4') 132.87/17.46 | ('#form2' @ '#sk3' @ (op @ e3 @ e3) @ e0) 132.87/17.46 | ('#form2' @ '#sk3' @ (op @ e1 @ e1) @ e1))), 132.87/17.46 inference('renaming', [status(thm)], 132.87/17.46 [zip_derived_cl1209, zip_derived_cl256, zip_derived_cl190])). 132.87/17.46 thf(zip_derived_cl874, plain, 132.87/17.46 (( (mand @ (mbox @ (qmltpeq @ (op @ e1 @ e1) @ e1)) @ 132.87/17.46 (mand @ (mbox @ (qmltpeq @ (op @ e2 @ e2) @ e1)) @ 132.87/17.46 (mbox @ (qmltpeq @ (op @ e3 @ e3) @ e1))) @ 132.87/17.46 '#sk3') 132.87/17.46 | (((mand @ (mbox @ (qmltpeq @ (op @ e0 @ e0) @ e3)) @ 132.87/17.46 (mand @ (mbox @ (qmltpeq @ (op @ e1 @ e1) @ e3)) @ 132.87/17.46 (mand @ (mbox @ (qmltpeq @ (op @ e2 @ e2) @ e3)) @ 132.87/17.46 (mbox @ (qmltpeq @ (op @ e3 @ e3) @ e3)))) @ 132.87/17.46 '#sk3') | (mand @ (mbox @ (qmltpeq @ (op @ e0 @ e0) @ e2)) @ 132.87/17.46 (mand @ (mbox @ (qmltpeq @ (op @ e1 @ e1) @ e2)) @ 132.87/17.46 (mand @ (mbox @ (qmltpeq @ (op @ e2 @ e2) @ e2)) @ 132.87/17.46 (mbox @ (qmltpeq @ (op @ e3 @ e3) @ e2)))) @ 132.87/17.46 '#sk3'))) 132.87/17.46 | ('#form2' @ '#sk3' @ (op @ e1 @ e1) @ e0))), 132.87/17.46 inference('lazy_cnf_and', [status(thm)], [zip_derived_cl865])). 132.87/17.46 thf(zip_derived_cl885, plain, 132.87/17.46 (( (((mand @ (mbox @ (qmltpeq @ (op @ e2 @ e2) @ e1)) @ 132.87/17.46 (mbox @ (qmltpeq @ (op @ e3 @ e3) @ e1)) @ '#sk3') & (mbox @ 132.87/17.46 (qmltpeq @ (op @ e1 @ e1) @ e1) @ '#sk3'))) 132.87/17.46 | ('#form2' @ '#sk3' @ (op @ e1 @ e1) @ e0) 132.87/17.46 | (((mand @ (mbox @ (qmltpeq @ (op @ e0 @ e0) @ e3)) @ 132.87/17.46 (mand @ (mbox @ (qmltpeq @ (op @ e1 @ e1) @ e3)) @ 132.87/17.46 (mand @ (mbox @ (qmltpeq @ (op @ e2 @ e2) @ e3)) @ 132.87/17.46 (mbox @ (qmltpeq @ (op @ e3 @ e3) @ e3)))) @ 132.87/17.46 '#sk3') | (mand @ (mbox @ (qmltpeq @ (op @ e0 @ e0) @ e2)) @ 132.87/17.46 (mand @ (mbox @ (qmltpeq @ (op @ e1 @ e1) @ e2)) @ 132.87/17.46 (mand @ (mbox @ (qmltpeq @ (op @ e2 @ e2) @ e2)) @ 132.87/17.46 (mbox @ (qmltpeq @ (op @ e3 @ e3) @ e2)))) @ 132.87/17.46 '#sk3'))))), 132.87/17.46 inference('rw_clause', [status(thm)], [zip_derived_cl874, '3'])). 132.87/17.46 thf(zip_derived_cl898, plain, 132.87/17.46 (( (mand @ (mbox @ (qmltpeq @ (op @ e2 @ e2) @ e1)) @ 132.87/17.46 (mbox @ (qmltpeq @ (op @ e3 @ e3) @ e1)) @ '#sk3') 132.87/17.46 | (((mand @ (mbox @ (qmltpeq @ (op @ e0 @ e0) @ e3)) @ 132.87/17.46 (mand @ (mbox @ (qmltpeq @ (op @ e1 @ e1) @ e3)) @ 132.87/17.46 (mand @ (mbox @ (qmltpeq @ (op @ e2 @ e2) @ e3)) @ 132.87/17.46 (mbox @ (qmltpeq @ (op @ e3 @ e3) @ e3)))) @ 132.87/17.46 '#sk3') | (mand @ (mbox @ (qmltpeq @ (op @ e0 @ e0) @ e2)) @ 132.87/17.46 (mand @ (mbox @ (qmltpeq @ (op @ e1 @ e1) @ e2)) @ 132.87/17.46 (mand @ (mbox @ (qmltpeq @ (op @ e2 @ e2) @ e2)) @ 132.87/17.46 (mbox @ (qmltpeq @ (op @ e3 @ e3) @ e2)))) @ 132.87/17.46 '#sk3'))) 132.87/17.46 | ('#form2' @ '#sk3' @ (op @ e1 @ e1) @ e0))), 132.87/17.46 inference('lazy_cnf_and', [status(thm)], [zip_derived_cl885])). 132.87/17.46 thf(zip_derived_cl913, plain, 132.87/17.46 (( (((mbox @ (qmltpeq @ (op @ e3 @ e3) @ e1) @ '#sk3') & (mbox @ 132.87/17.46 (qmltpeq @ (op @ e2 @ e2) @ e1) @ '#sk3'))) 132.87/17.46 | ('#form2' @ '#sk3' @ (op @ e1 @ e1) @ e0) 132.87/17.46 | (((mand @ (mbox @ (qmltpeq @ (op @ e0 @ e0) @ e3)) @ 132.87/17.46 (mand @ (mbox @ (qmltpeq @ (op @ e1 @ e1) @ e3)) @ 132.87/17.46 (mand @ (mbox @ (qmltpeq @ (op @ e2 @ e2) @ e3)) @ 132.87/17.46 (mbox @ (qmltpeq @ (op @ e3 @ e3) @ e3)))) @ 132.87/17.46 '#sk3') | (mand @ (mbox @ (qmltpeq @ (op @ e0 @ e0) @ e2)) @ 132.87/17.46 (mand @ (mbox @ (qmltpeq @ (op @ e1 @ e1) @ e2)) @ 132.87/17.46 (mand @ (mbox @ (qmltpeq @ (op @ e2 @ e2) @ e2)) @ 132.87/17.46 (mbox @ (qmltpeq @ (op @ e3 @ e3) @ e2)))) @ 132.87/17.46 '#sk3'))))), 132.87/17.46 inference('rw_clause', [status(thm)], [zip_derived_cl898, '3'])). 132.87/17.46 thf(zip_derived_cl930, plain, 132.87/17.46 (( (mbox @ (qmltpeq @ (op @ e3 @ e3) @ e1) @ '#sk3') 132.87/17.46 | (((mand @ (mbox @ (qmltpeq @ (op @ e0 @ e0) @ e3)) @ 132.87/17.46 (mand @ (mbox @ (qmltpeq @ (op @ e1 @ e1) @ e3)) @ 132.87/17.46 (mand @ (mbox @ (qmltpeq @ (op @ e2 @ e2) @ e3)) @ 132.87/17.46 (mbox @ (qmltpeq @ (op @ e3 @ e3) @ e3)))) @ 132.87/17.46 '#sk3') | (mand @ (mbox @ (qmltpeq @ (op @ e0 @ e0) @ e2)) @ 132.87/17.46 (mand @ (mbox @ (qmltpeq @ (op @ e1 @ e1) @ e2)) @ 132.87/17.46 (mand @ (mbox @ (qmltpeq @ (op @ e2 @ e2) @ e2)) @ 132.87/17.46 (mbox @ (qmltpeq @ (op @ e3 @ e3) @ e2)))) @ 132.87/17.46 '#sk3'))) 132.87/17.46 | ('#form2' @ '#sk3' @ (op @ e1 @ e1) @ e0))), 132.87/17.46 inference('lazy_cnf_and', [status(thm)], [zip_derived_cl913])). 132.87/17.46 thf(zip_derived_cl949, plain, 132.87/17.46 (( (((!!) @ (^[Y0 : mworld]: 132.87/17.46 (((mrel @ '#sk3' @ Y0) => (qmltpeq @ (op @ e3 @ e3) @ 132.87/17.46 e1 @ Y0)))))) 132.87/17.46 | ('#form2' @ '#sk3' @ (op @ e1 @ e1) @ e0) 132.87/17.46 | (((mand @ (mbox @ (qmltpeq @ (op @ e0 @ e0) @ e3)) @ 132.87/17.46 (mand @ (mbox @ (qmltpeq @ (op @ e1 @ e1) @ e3)) @ 132.87/17.46 (mand @ (mbox @ (qmltpeq @ (op @ e2 @ e2) @ e3)) @ 132.87/17.46 (mbox @ (qmltpeq @ (op @ e3 @ e3) @ e3)))) @ 132.87/17.46 '#sk3') | (mand @ (mbox @ (qmltpeq @ (op @ e0 @ e0) @ e2)) @ 132.87/17.46 (mand @ (mbox @ (qmltpeq @ (op @ e1 @ e1) @ e2)) @ 132.87/17.46 (mand @ (mbox @ (qmltpeq @ (op @ e2 @ e2) @ e2)) @ 132.87/17.46 (mbox @ (qmltpeq @ (op @ e3 @ e3) @ e2)))) @ 132.87/17.46 '#sk3'))))), 132.87/17.46 inference('rw_clause', [status(thm)], [zip_derived_cl930, '4'])). 132.87/17.46 thf(zip_derived_cl256, plain, 132.87/17.46 (![X3 : mworld, X6 : $i, X7 : $i]: 132.87/17.46 (~ ('#form2' @ X3 @ X6 @ X7) 132.87/17.46 | (((!!) @ (^[Y0 : mworld]: 132.87/17.46 (((mrel @ X3 @ Y0) => (qmltpeq @ X6 @ X7 @ Y0)))))))), 132.87/17.46 define([status(thm)])). 132.87/17.46 thf(zip_derived_cl190, plain, 132.87/17.46 (![X3 : mworld, X6 : $i, X7 : $i]: 132.87/17.46 ( ('#form2' @ X3 @ X6 @ X7) 132.87/17.46 | ~ (((!!) @ (^[Y0 : mworld]: 132.87/17.46 (((mrel @ X3 @ Y0) => (qmltpeq @ X6 @ X7 @ Y0)))))))), 132.87/17.46 define([status(thm)])). 132.87/17.46 thf(zip_derived_cl973, plain, 132.87/17.46 (( ('#form2' @ '#sk3' @ (op @ e3 @ e3) @ e1) 132.87/17.46 | (((mand @ (mbox @ (qmltpeq @ (op @ e0 @ e0) @ e3)) @ 132.87/17.46 (mand @ (mbox @ (qmltpeq @ (op @ e1 @ e1) @ e3)) @ 132.87/17.46 (mand @ (mbox @ (qmltpeq @ (op @ e2 @ e2) @ e3)) @ 132.87/17.46 (mbox @ (qmltpeq @ (op @ e3 @ e3) @ e3)))) @ 132.87/17.46 '#sk3') | (mand @ (mbox @ (qmltpeq @ (op @ e0 @ e0) @ e2)) @ 132.87/17.46 (mand @ (mbox @ (qmltpeq @ (op @ e1 @ e1) @ e2)) @ 132.87/17.46 (mand @ (mbox @ (qmltpeq @ (op @ e2 @ e2) @ e2)) @ 132.87/17.46 (mbox @ (qmltpeq @ (op @ e3 @ e3) @ e2)))) @ 132.87/17.46 '#sk3'))) 132.87/17.46 | ('#form2' @ '#sk3' @ (op @ e1 @ e1) @ e0))), 132.87/17.46 inference('renaming', [status(thm)], 132.87/17.46 [zip_derived_cl949, zip_derived_cl256, zip_derived_cl190])). 132.87/17.46 thf(zip_derived_cl996, plain, 132.87/17.46 (( (mand @ (mbox @ (qmltpeq @ (op @ e0 @ e0) @ e3)) @ 132.87/17.46 (mand @ (mbox @ (qmltpeq @ (op @ e1 @ e1) @ e3)) @ 132.87/17.46 (mand @ (mbox @ (qmltpeq @ (op @ e2 @ e2) @ e3)) @ 132.87/17.46 (mbox @ (qmltpeq @ (op @ e3 @ e3) @ e3)))) @ 132.87/17.46 '#sk3') 132.87/17.46 | (mand @ (mbox @ (qmltpeq @ (op @ e0 @ e0) @ e2)) @ 132.87/17.46 (mand @ (mbox @ (qmltpeq @ (op @ e1 @ e1) @ e2)) @ 132.87/17.46 (mand @ (mbox @ (qmltpeq @ (op @ e2 @ e2) @ e2)) @ 132.87/17.46 (mbox @ (qmltpeq @ (op @ e3 @ e3) @ e2)))) @ 132.87/17.46 '#sk3') 132.87/17.46 | ('#form2' @ '#sk3' @ (op @ e1 @ e1) @ e0) 132.87/17.46 | ('#form2' @ '#sk3' @ (op @ e3 @ e3) @ e1))), 132.87/17.46 inference('lazy_cnf_or', [status(thm)], [zip_derived_cl973])). 132.87/17.46 thf(zip_derived_cl1022, plain, 132.87/17.46 (( (((mand @ (mbox @ (qmltpeq @ (op @ e1 @ e1) @ e3)) @ 132.87/17.46 (mand @ (mbox @ (qmltpeq @ (op @ e2 @ e2) @ e3)) @ 132.87/17.46 (mbox @ (qmltpeq @ (op @ e3 @ e3) @ e3))) @ 132.87/17.46 '#sk3') & (mbox @ (qmltpeq @ (op @ e0 @ e0) @ e3) @ '#sk3'))) 132.87/17.46 | ('#form2' @ '#sk3' @ (op @ e3 @ e3) @ e1) 132.87/17.46 | ('#form2' @ '#sk3' @ (op @ e1 @ e1) @ e0) 132.87/17.46 | (mand @ (mbox @ (qmltpeq @ (op @ e0 @ e0) @ e2)) @ 132.87/17.46 (mand @ (mbox @ (qmltpeq @ (op @ e1 @ e1) @ e2)) @ 132.87/17.46 (mand @ (mbox @ (qmltpeq @ (op @ e2 @ e2) @ e2)) @ 132.87/17.46 (mbox @ (qmltpeq @ (op @ e3 @ e3) @ e2)))) @ 132.87/17.46 '#sk3'))), 132.87/17.46 inference('rw_clause', [status(thm)], [zip_derived_cl996, '3'])). 132.87/17.46 thf(zip_derived_cl952, plain, 132.87/17.46 ((~ ('#form4') 132.87/17.46 | (((mand @ (mbox @ (qmltpeq @ (op @ e1 @ e1) @ e3)) @ 132.87/17.46 (mand @ (mbox @ (qmltpeq @ (op @ e2 @ e2) @ e3)) @ 132.87/17.46 (mbox @ (qmltpeq @ (op @ e3 @ e3) @ e3))) @ 132.87/17.46 '#sk3') & (mbox @ (qmltpeq @ (op @ e0 @ e0) @ e3) @ '#sk3'))))), 132.87/17.46 define([status(thm)])). 132.87/17.46 thf(zip_derived_cl1049, plain, 132.87/17.46 (( ('#form4') 132.87/17.46 | (mand @ (mbox @ (qmltpeq @ (op @ e0 @ e0) @ e2)) @ 132.87/17.46 (mand @ (mbox @ (qmltpeq @ (op @ e1 @ e1) @ e2)) @ 132.87/17.46 (mand @ (mbox @ (qmltpeq @ (op @ e2 @ e2) @ e2)) @ 132.87/17.46 (mbox @ (qmltpeq @ (op @ e3 @ e3) @ e2)))) @ 132.87/17.46 '#sk3') 132.87/17.46 | ('#form2' @ '#sk3' @ (op @ e1 @ e1) @ e0) 132.87/17.46 | ('#form2' @ '#sk3' @ (op @ e3 @ e3) @ e1))), 132.87/17.46 inference('renaming', [status(thm)], 132.87/17.46 [zip_derived_cl1022, zip_derived_cl952])). 132.87/17.46 thf(zip_derived_cl1081, plain, 132.87/17.46 (( (((mand @ (mbox @ (qmltpeq @ (op @ e1 @ e1) @ e2)) @ 132.87/17.46 (mand @ (mbox @ (qmltpeq @ (op @ e2 @ e2) @ e2)) @ 132.87/17.46 (mbox @ (qmltpeq @ (op @ e3 @ e3) @ e2))) @ 132.87/17.46 '#sk3') & (mbox @ (qmltpeq @ (op @ e0 @ e0) @ e2) @ '#sk3'))) 132.87/17.46 | ('#form2' @ '#sk3' @ (op @ e3 @ e3) @ e1) 132.87/17.46 | ('#form2' @ '#sk3' @ (op @ e1 @ e1) @ e0) 132.87/17.46 | ('#form4'))), 132.87/17.46 inference('rw_clause', [status(thm)], [zip_derived_cl1049, '3'])). 132.87/17.46 thf(zip_derived_cl1114, plain, 132.87/17.46 (( (mand @ (mbox @ (qmltpeq @ (op @ e1 @ e1) @ e2)) @ 132.87/17.46 (mand @ (mbox @ (qmltpeq @ (op @ e2 @ e2) @ e2)) @ 132.87/17.46 (mbox @ (qmltpeq @ (op @ e3 @ e3) @ e2))) @ 132.87/17.46 '#sk3') 132.87/17.46 | ('#form4') 132.87/17.46 | ('#form2' @ '#sk3' @ (op @ e1 @ e1) @ e0) 132.87/17.46 | ('#form2' @ '#sk3' @ (op @ e3 @ e3) @ e1))), 132.87/17.46 inference('lazy_cnf_and', [status(thm)], [zip_derived_cl1081])). 132.87/17.46 thf(zip_derived_cl1149, plain, 132.87/17.46 (( (((mand @ (mbox @ (qmltpeq @ (op @ e2 @ e2) @ e2)) @ 132.87/17.46 (mbox @ (qmltpeq @ (op @ e3 @ e3) @ e2)) @ '#sk3') & (mbox @ 132.87/17.46 (qmltpeq @ (op @ e1 @ e1) @ e2) @ '#sk3'))) 132.87/17.46 | ('#form2' @ '#sk3' @ (op @ e3 @ e3) @ e1) 132.87/17.46 | ('#form2' @ '#sk3' @ (op @ e1 @ e1) @ e0) 132.87/17.46 | ('#form4'))), 132.87/17.46 inference('rw_clause', [status(thm)], [zip_derived_cl1114, '3'])). 132.87/17.46 thf(zip_derived_cl1185, plain, 132.87/17.46 (( (mand @ (mbox @ (qmltpeq @ (op @ e2 @ e2) @ e2)) @ 132.87/17.46 (mbox @ (qmltpeq @ (op @ e3 @ e3) @ e2)) @ '#sk3') 132.87/17.46 | ('#form4') 132.87/17.46 | ('#form2' @ '#sk3' @ (op @ e1 @ e1) @ e0) 132.87/17.46 | ('#form2' @ '#sk3' @ (op @ e3 @ e3) @ e1))), 132.87/17.46 inference('lazy_cnf_and', [status(thm)], [zip_derived_cl1149])). 132.87/17.46 thf(zip_derived_cl1220, plain, 132.87/17.46 (( (((mbox @ (qmltpeq @ (op @ e3 @ e3) @ e2) @ '#sk3') & (mbox @ 132.87/17.46 (qmltpeq @ (op @ e2 @ e2) @ e2) @ '#sk3'))) 132.87/17.46 | ('#form2' @ '#sk3' @ (op @ e3 @ e3) @ e1) 132.87/17.46 | ('#form2' @ '#sk3' @ (op @ e1 @ e1) @ e0) 132.87/17.46 | ('#form4'))), 132.87/17.46 inference('rw_clause', [status(thm)], [zip_derived_cl1185, '3'])). 132.87/17.46 thf(zip_derived_cl1252, plain, 132.87/17.46 (( (mbox @ (qmltpeq @ (op @ e3 @ e3) @ e2) @ '#sk3') 132.87/17.46 | ('#form4') 132.87/17.46 | ('#form2' @ '#sk3' @ (op @ e1 @ e1) @ e0) 132.87/17.46 | ('#form2' @ '#sk3' @ (op @ e3 @ e3) @ e1))), 132.87/17.46 inference('lazy_cnf_and', [status(thm)], [zip_derived_cl1220])). 132.87/17.46 thf(zip_derived_cl1276, plain, 132.87/17.46 (( (((!!) @ (^[Y0 : mworld]: 132.87/17.46 (((mrel @ '#sk3' @ Y0) => (qmltpeq @ (op @ e3 @ e3) @ 132.87/17.46 e2 @ Y0)))))) 132.87/17.46 | ('#form2' @ '#sk3' @ (op @ e3 @ e3) @ e1) 132.87/17.46 | ('#form2' @ '#sk3' @ (op @ e1 @ e1) @ e0) 132.87/17.46 | ('#form4'))), 132.87/17.46 inference('rw_clause', [status(thm)], [zip_derived_cl1252, '4'])). 132.87/17.46 thf(zip_derived_cl256, plain, 132.87/17.46 (![X3 : mworld, X6 : $i, X7 : $i]: 132.87/17.46 (~ ('#form2' @ X3 @ X6 @ X7) 132.87/17.46 | (((!!) @ (^[Y0 : mworld]: 132.87/17.46 (((mrel @ X3 @ Y0) => (qmltpeq @ X6 @ X7 @ Y0)))))))), 132.87/17.46 define([status(thm)])). 132.87/17.46 thf(zip_derived_cl190, plain, 132.87/17.46 (![X3 : mworld, X6 : $i, X7 : $i]: 132.87/17.46 ( ('#form2' @ X3 @ X6 @ X7) 132.87/17.46 | ~ (((!!) @ (^[Y0 : mworld]: 132.87/17.46 (((mrel @ X3 @ Y0) => (qmltpeq @ X6 @ X7 @ Y0)))))))), 132.87/17.46 define([status(thm)])). 132.87/17.46 thf(zip_derived_cl1296, plain, 132.87/17.46 (( ('#form2' @ '#sk3' @ (op @ e3 @ e3) @ e2) 132.87/17.46 | ('#form4') 132.87/17.46 | ('#form2' @ '#sk3' @ (op @ e1 @ e1) @ e0) 132.87/17.46 | ('#form2' @ '#sk3' @ (op @ e3 @ e3) @ e1))), 132.87/17.46 inference('renaming', [status(thm)], 132.87/17.46 [zip_derived_cl1276, zip_derived_cl256, zip_derived_cl190])). 132.87/17.46 thf(zip_derived_cl899, plain, 132.87/17.46 (( (mbox @ (qmltpeq @ (op @ e1 @ e1) @ e1) @ '#sk3') 132.87/17.46 | (((mand @ (mbox @ (qmltpeq @ (op @ e0 @ e0) @ e3)) @ 132.87/17.46 (mand @ (mbox @ (qmltpeq @ (op @ e1 @ e1) @ e3)) @ 132.87/17.46 (mand @ (mbox @ (qmltpeq @ (op @ e2 @ e2) @ e3)) @ 132.87/17.46 (mbox @ (qmltpeq @ (op @ e3 @ e3) @ e3)))) @ 132.87/17.46 '#sk3') | (mand @ (mbox @ (qmltpeq @ (op @ e0 @ e0) @ e2)) @ 132.87/17.46 (mand @ (mbox @ (qmltpeq @ (op @ e1 @ e1) @ e2)) @ 132.87/17.46 (mand @ (mbox @ (qmltpeq @ (op @ e2 @ e2) @ e2)) @ 132.87/17.46 (mbox @ (qmltpeq @ (op @ e3 @ e3) @ e2)))) @ 132.87/17.46 '#sk3'))) 132.87/17.46 | ('#form2' @ '#sk3' @ (op @ e1 @ e1) @ e0))), 132.87/17.46 inference('lazy_cnf_and', [status(thm)], [zip_derived_cl885])). 132.87/17.46 thf(zip_derived_cl914, plain, 132.87/17.46 (( (((!!) @ (^[Y0 : mworld]: 132.87/17.46 (((mrel @ '#sk3' @ Y0) => (qmltpeq @ (op @ e1 @ e1) @ 132.87/17.46 e1 @ Y0)))))) 132.87/17.46 | ('#form2' @ '#sk3' @ (op @ e1 @ e1) @ e0) 132.87/17.46 | (((mand @ (mbox @ (qmltpeq @ (op @ e0 @ e0) @ e3)) @ 132.87/17.46 (mand @ (mbox @ (qmltpeq @ (op @ e1 @ e1) @ e3)) @ 132.87/17.46 (mand @ (mbox @ (qmltpeq @ (op @ e2 @ e2) @ e3)) @ 132.87/17.46 (mbox @ (qmltpeq @ (op @ e3 @ e3) @ e3)))) @ 132.87/17.46 '#sk3') | (mand @ (mbox @ (qmltpeq @ (op @ e0 @ e0) @ e2)) @ 132.87/17.46 (mand @ (mbox @ (qmltpeq @ (op @ e1 @ e1) @ e2)) @ 132.87/17.46 (mand @ (mbox @ (qmltpeq @ (op @ e2 @ e2) @ e2)) @ 132.87/17.46 (mbox @ (qmltpeq @ (op @ e3 @ e3) @ e2)))) @ 132.87/17.46 '#sk3'))))), 132.87/17.46 inference('rw_clause', [status(thm)], [zip_derived_cl899, '4'])). 132.87/17.46 thf(zip_derived_cl256, plain, 132.87/17.46 (![X3 : mworld, X6 : $i, X7 : $i]: 132.87/17.46 (~ ('#form2' @ X3 @ X6 @ X7) 132.87/17.46 | (((!!) @ (^[Y0 : mworld]: 132.87/17.46 (((mrel @ X3 @ Y0) => (qmltpeq @ X6 @ X7 @ Y0)))))))), 132.87/17.46 define([status(thm)])). 132.87/17.46 thf(zip_derived_cl190, plain, 132.87/17.46 (![X3 : mworld, X6 : $i, X7 : $i]: 132.87/17.46 ( ('#form2' @ X3 @ X6 @ X7) 132.87/17.46 | ~ (((!!) @ (^[Y0 : mworld]: 132.87/17.46 (((mrel @ X3 @ Y0) => (qmltpeq @ X6 @ X7 @ Y0)))))))), 132.87/17.46 define([status(thm)])). 132.87/17.46 thf(zip_derived_cl932, plain, 132.87/17.46 (( ('#form2' @ '#sk3' @ (op @ e1 @ e1) @ e1) 132.87/17.46 | (((mand @ (mbox @ (qmltpeq @ (op @ e0 @ e0) @ e3)) @ 132.87/17.46 (mand @ (mbox @ (qmltpeq @ (op @ e1 @ e1) @ e3)) @ 132.87/17.46 (mand @ (mbox @ (qmltpeq @ (op @ e2 @ e2) @ e3)) @ 132.87/17.46 (mbox @ (qmltpeq @ (op @ e3 @ e3) @ e3)))) @ 132.87/17.46 '#sk3') | (mand @ (mbox @ (qmltpeq @ (op @ e0 @ e0) @ e2)) @ 132.87/17.46 (mand @ (mbox @ (qmltpeq @ (op @ e1 @ e1) @ e2)) @ 132.87/17.46 (mand @ (mbox @ (qmltpeq @ (op @ e2 @ e2) @ e2)) @ 132.87/17.46 (mbox @ (qmltpeq @ (op @ e3 @ e3) @ e2)))) @ 132.87/17.46 '#sk3'))) 132.87/17.46 | ('#form2' @ '#sk3' @ (op @ e1 @ e1) @ e0))), 132.87/17.46 inference('renaming', [status(thm)], 132.87/17.46 [zip_derived_cl914, zip_derived_cl256, zip_derived_cl190])). 132.87/17.46 thf(zip_derived_cl951, plain, 132.87/17.46 (( (mand @ (mbox @ (qmltpeq @ (op @ e0 @ e0) @ e3)) @ 132.87/17.46 (mand @ (mbox @ (qmltpeq @ (op @ e1 @ e1) @ e3)) @ 132.87/17.46 (mand @ (mbox @ (qmltpeq @ (op @ e2 @ e2) @ e3)) @ 132.87/17.46 (mbox @ (qmltpeq @ (op @ e3 @ e3) @ e3)))) @ 132.87/17.46 '#sk3') 132.87/17.46 | (mand @ (mbox @ (qmltpeq @ (op @ e0 @ e0) @ e2)) @ 132.87/17.46 (mand @ (mbox @ (qmltpeq @ (op @ e1 @ e1) @ e2)) @ 132.87/17.46 (mand @ (mbox @ (qmltpeq @ (op @ e2 @ e2) @ e2)) @ 132.87/17.46 (mbox @ (qmltpeq @ (op @ e3 @ e3) @ e2)))) @ 132.87/17.46 '#sk3') 132.87/17.46 | ('#form2' @ '#sk3' @ (op @ e1 @ e1) @ e0) 132.87/17.46 | ('#form2' @ '#sk3' @ (op @ e1 @ e1) @ e1))), 132.87/17.46 inference('lazy_cnf_or', [status(thm)], [zip_derived_cl932])). 132.87/17.46 thf(zip_derived_cl975, plain, 132.87/17.46 (( (((mand @ (mbox @ (qmltpeq @ (op @ e1 @ e1) @ e3)) @ 132.87/17.46 (mand @ (mbox @ (qmltpeq @ (op @ e2 @ e2) @ e3)) @ 132.87/17.46 (mbox @ (qmltpeq @ (op @ e3 @ e3) @ e3))) @ 132.87/17.46 '#sk3') & (mbox @ (qmltpeq @ (op @ e0 @ e0) @ e3) @ '#sk3'))) 132.87/17.46 | ('#form2' @ '#sk3' @ (op @ e1 @ e1) @ e1) 132.87/17.46 | ('#form2' @ '#sk3' @ (op @ e1 @ e1) @ e0) 132.87/17.46 | (mand @ (mbox @ (qmltpeq @ (op @ e0 @ e0) @ e2)) @ 132.87/17.46 (mand @ (mbox @ (qmltpeq @ (op @ e1 @ e1) @ e2)) @ 132.87/17.46 (mand @ (mbox @ (qmltpeq @ (op @ e2 @ e2) @ e2)) @ 132.87/17.46 (mbox @ (qmltpeq @ (op @ e3 @ e3) @ e2)))) @ 132.87/17.46 '#sk3'))), 132.87/17.46 inference('rw_clause', [status(thm)], [zip_derived_cl951, '3'])). 132.87/17.46 thf(zip_derived_cl952, plain, 132.87/17.46 ((~ ('#form4') 132.87/17.46 | (((mand @ (mbox @ (qmltpeq @ (op @ e1 @ e1) @ e3)) @ 132.87/17.46 (mand @ (mbox @ (qmltpeq @ (op @ e2 @ e2) @ e3)) @ 132.87/17.46 (mbox @ (qmltpeq @ (op @ e3 @ e3) @ e3))) @ 132.87/17.46 '#sk3') & (mbox @ (qmltpeq @ (op @ e0 @ e0) @ e3) @ '#sk3'))))), 132.87/17.46 define([status(thm)])). 132.87/17.46 thf(zip_derived_cl998, plain, 132.87/17.46 (( ('#form4') 132.87/17.46 | (mand @ (mbox @ (qmltpeq @ (op @ e0 @ e0) @ e2)) @ 132.87/17.46 (mand @ (mbox @ (qmltpeq @ (op @ e1 @ e1) @ e2)) @ 132.87/17.46 (mand @ (mbox @ (qmltpeq @ (op @ e2 @ e2) @ e2)) @ 132.87/17.46 (mbox @ (qmltpeq @ (op @ e3 @ e3) @ e2)))) @ 132.87/17.46 '#sk3') 132.87/17.46 | ('#form2' @ '#sk3' @ (op @ e1 @ e1) @ e0) 132.87/17.46 | ('#form2' @ '#sk3' @ (op @ e1 @ e1) @ e1))), 132.87/17.46 inference('renaming', [status(thm)], 132.87/17.46 [zip_derived_cl975, zip_derived_cl952])). 132.87/17.46 thf(zip_derived_cl1024, plain, 132.87/17.46 (( (((mand @ (mbox @ (qmltpeq @ (op @ e1 @ e1) @ e2)) @ 132.87/17.46 (mand @ (mbox @ (qmltpeq @ (op @ e2 @ e2) @ e2)) @ 132.87/17.46 (mbox @ (qmltpeq @ (op @ e3 @ e3) @ e2))) @ 132.87/17.46 '#sk3') & (mbox @ (qmltpeq @ (op @ e0 @ e0) @ e2) @ '#sk3'))) 132.87/17.46 | ('#form2' @ '#sk3' @ (op @ e1 @ e1) @ e1) 132.87/17.46 | ('#form2' @ '#sk3' @ (op @ e1 @ e1) @ e0) 132.87/17.46 | ('#form4'))), 132.87/17.46 inference('rw_clause', [status(thm)], [zip_derived_cl998, '3'])). 132.87/17.46 thf(zip_derived_cl1051, plain, 132.87/17.46 (( (mand @ (mbox @ (qmltpeq @ (op @ e1 @ e1) @ e2)) @ 132.87/17.46 (mand @ (mbox @ (qmltpeq @ (op @ e2 @ e2) @ e2)) @ 132.87/17.46 (mbox @ (qmltpeq @ (op @ e3 @ e3) @ e2))) @ 132.87/17.46 '#sk3') 132.87/17.46 | ('#form4') 132.87/17.46 | ('#form2' @ '#sk3' @ (op @ e1 @ e1) @ e0) 132.87/17.46 | ('#form2' @ '#sk3' @ (op @ e1 @ e1) @ e1))), 132.87/17.46 inference('lazy_cnf_and', [status(thm)], [zip_derived_cl1024])). 132.87/17.46 thf(zip_derived_cl1083, plain, 132.87/17.46 (( (((mand @ (mbox @ (qmltpeq @ (op @ e2 @ e2) @ e2)) @ 132.87/17.46 (mbox @ (qmltpeq @ (op @ e3 @ e3) @ e2)) @ '#sk3') & (mbox @ 132.87/17.46 (qmltpeq @ (op @ e1 @ e1) @ e2) @ '#sk3'))) 132.87/17.46 | ('#form2' @ '#sk3' @ (op @ e1 @ e1) @ e1) 132.87/17.46 | ('#form2' @ '#sk3' @ (op @ e1 @ e1) @ e0) 132.87/17.46 | ('#form4'))), 132.87/17.46 inference('rw_clause', [status(thm)], [zip_derived_cl1051, '3'])). 132.87/17.46 thf(zip_derived_cl1118, plain, 132.87/17.46 (( (mand @ (mbox @ (qmltpeq @ (op @ e2 @ e2) @ e2)) @ 132.87/17.46 (mbox @ (qmltpeq @ (op @ e3 @ e3) @ e2)) @ '#sk3') 132.87/17.46 | ('#form4') 132.87/17.46 | ('#form2' @ '#sk3' @ (op @ e1 @ e1) @ e0) 132.87/17.46 | ('#form2' @ '#sk3' @ (op @ e1 @ e1) @ e1))), 132.87/17.46 inference('lazy_cnf_and', [status(thm)], [zip_derived_cl1083])). 132.87/17.46 thf(zip_derived_cl1153, plain, 132.87/17.46 (( (((mbox @ (qmltpeq @ (op @ e3 @ e3) @ e2) @ '#sk3') & (mbox @ 132.87/17.46 (qmltpeq @ (op @ e2 @ e2) @ e2) @ '#sk3'))) 132.87/17.46 | ('#form2' @ '#sk3' @ (op @ e1 @ e1) @ e1) 132.87/17.46 | ('#form2' @ '#sk3' @ (op @ e1 @ e1) @ e0) 132.87/17.46 | ('#form4'))), 132.87/17.46 inference('rw_clause', [status(thm)], [zip_derived_cl1118, '3'])). 132.87/17.46 thf(zip_derived_cl1191, plain, 132.87/17.46 (( (mbox @ (qmltpeq @ (op @ e3 @ e3) @ e2) @ '#sk3') 132.87/17.46 | ('#form4') 132.87/17.46 | ('#form2' @ '#sk3' @ (op @ e1 @ e1) @ e0) 132.87/17.46 | ('#form2' @ '#sk3' @ (op @ e1 @ e1) @ e1))), 132.87/17.46 inference('lazy_cnf_and', [status(thm)], [zip_derived_cl1153])). 132.87/17.46 thf(zip_derived_cl1224, plain, 132.87/17.46 (( (((!!) @ (^[Y0 : mworld]: 132.87/17.46 (((mrel @ '#sk3' @ Y0) => (qmltpeq @ (op @ e3 @ e3) @ 132.87/17.46 e2 @ Y0)))))) 132.87/17.46 | ('#form2' @ '#sk3' @ (op @ e1 @ e1) @ e1) 132.87/17.46 | ('#form2' @ '#sk3' @ (op @ e1 @ e1) @ e0) 132.87/17.46 | ('#form4'))), 132.87/17.46 inference('rw_clause', [status(thm)], [zip_derived_cl1191, '4'])). 132.87/17.46 thf(zip_derived_cl256, plain, 132.87/17.46 (![X3 : mworld, X6 : $i, X7 : $i]: 132.87/17.46 (~ ('#form2' @ X3 @ X6 @ X7) 132.87/17.46 | (((!!) @ (^[Y0 : mworld]: 132.87/17.46 (((mrel @ X3 @ Y0) => (qmltpeq @ X6 @ X7 @ Y0)))))))), 132.87/17.46 define([status(thm)])). 132.87/17.46 thf(zip_derived_cl190, plain, 132.87/17.46 (![X3 : mworld, X6 : $i, X7 : $i]: 132.87/17.46 ( ('#form2' @ X3 @ X6 @ X7) 132.87/17.46 | ~ (((!!) @ (^[Y0 : mworld]: 132.87/17.46 (((mrel @ X3 @ Y0) => (qmltpeq @ X6 @ X7 @ Y0)))))))), 132.87/17.46 define([status(thm)])). 132.87/17.46 thf(zip_derived_cl1258, plain, 132.87/17.46 (( ('#form2' @ '#sk3' @ (op @ e3 @ e3) @ e2) 132.87/17.46 | ('#form4') 132.87/17.46 | ('#form2' @ '#sk3' @ (op @ e1 @ e1) @ e0) 132.87/17.46 | ('#form2' @ '#sk3' @ (op @ e1 @ e1) @ e1))), 132.87/17.46 inference('renaming', [status(thm)], 132.87/17.46 [zip_derived_cl1224, zip_derived_cl256, zip_derived_cl190])). 132.87/17.46 thf(zip_derived_cl1281, plain, 132.87/17.46 (( (mbox @ (qmltpeq @ (op @ e2 @ e2) @ e2) @ '#sk3') 132.87/17.46 | ('#form4') 132.87/17.46 | ('#form2' @ '#sk3' @ (op @ e3 @ e3) @ e0) 132.87/17.46 | ('#form2' @ '#sk3' @ (op @ e3 @ e3) @ e1))), 132.87/17.46 inference('lazy_cnf_and', [status(thm)], [zip_derived_cl1264])). 132.87/17.46 thf(zip_derived_cl1301, plain, 132.87/17.46 (( (((!!) @ (^[Y0 : mworld]: 132.87/17.46 (((mrel @ '#sk3' @ Y0) => (qmltpeq @ (op @ e2 @ e2) @ 132.87/17.46 e2 @ Y0)))))) 132.87/17.46 | ('#form2' @ '#sk3' @ (op @ e3 @ e3) @ e1) 132.87/17.46 | ('#form2' @ '#sk3' @ (op @ e3 @ e3) @ e0) 132.87/17.46 | ('#form4'))), 132.87/17.46 inference('rw_clause', [status(thm)], [zip_derived_cl1281, '4'])). 132.87/17.46 thf(zip_derived_cl256, plain, 132.87/17.46 (![X3 : mworld, X6 : $i, X7 : $i]: 132.87/17.46 (~ ('#form2' @ X3 @ X6 @ X7) 132.87/17.46 | (((!!) @ (^[Y0 : mworld]: 132.87/17.46 (((mrel @ X3 @ Y0) => (qmltpeq @ X6 @ X7 @ Y0)))))))), 132.87/17.46 define([status(thm)])). 132.87/17.46 thf(zip_derived_cl190, plain, 132.87/17.46 (![X3 : mworld, X6 : $i, X7 : $i]: 132.87/17.46 ( ('#form2' @ X3 @ X6 @ X7) 132.87/17.46 | ~ (((!!) @ (^[Y0 : mworld]: 132.87/17.46 (((mrel @ X3 @ Y0) => (qmltpeq @ X6 @ X7 @ Y0)))))))), 132.87/17.46 define([status(thm)])). 132.87/17.46 thf(zip_derived_cl1309, plain, 132.87/17.46 (( ('#form2' @ '#sk3' @ (op @ e2 @ e2) @ e2) 132.87/17.46 | ('#form4') 132.87/17.46 | ('#form2' @ '#sk3' @ (op @ e3 @ e3) @ e0) 132.87/17.46 | ('#form2' @ '#sk3' @ (op @ e3 @ e3) @ e1))), 132.87/17.46 inference('renaming', [status(thm)], 132.87/17.46 [zip_derived_cl1301, zip_derived_cl256, zip_derived_cl190])). 132.87/17.46 thf(zip_derived_cl1186, plain, 132.87/17.46 (( (mbox @ (qmltpeq @ (op @ e1 @ e1) @ e2) @ '#sk3') 132.87/17.46 | ('#form4') 132.87/17.46 | ('#form2' @ '#sk3' @ (op @ e1 @ e1) @ e0) 132.87/17.46 | ('#form2' @ '#sk3' @ (op @ e3 @ e3) @ e1))), 132.87/17.46 inference('lazy_cnf_and', [status(thm)], [zip_derived_cl1149])). 132.87/17.46 thf(zip_derived_cl1221, plain, 132.87/17.46 (( (((!!) @ (^[Y0 : mworld]: 132.87/17.46 (((mrel @ '#sk3' @ Y0) => (qmltpeq @ (op @ e1 @ e1) @ 132.87/17.46 e2 @ Y0)))))) 132.87/17.46 | ('#form2' @ '#sk3' @ (op @ e3 @ e3) @ e1) 132.87/17.46 | ('#form2' @ '#sk3' @ (op @ e1 @ e1) @ e0) 132.87/17.46 | ('#form4'))), 132.87/17.46 inference('rw_clause', [status(thm)], [zip_derived_cl1186, '4'])). 132.87/17.46 thf(zip_derived_cl256, plain, 132.87/17.46 (![X3 : mworld, X6 : $i, X7 : $i]: 132.87/17.46 (~ ('#form2' @ X3 @ X6 @ X7) 132.87/17.46 | (((!!) @ (^[Y0 : mworld]: 132.87/17.46 (((mrel @ X3 @ Y0) => (qmltpeq @ X6 @ X7 @ Y0)))))))), 132.87/17.46 define([status(thm)])). 132.87/17.46 thf(zip_derived_cl190, plain, 132.87/17.46 (![X3 : mworld, X6 : $i, X7 : $i]: 132.87/17.46 ( ('#form2' @ X3 @ X6 @ X7) 132.87/17.46 | ~ (((!!) @ (^[Y0 : mworld]: 132.87/17.46 (((mrel @ X3 @ Y0) => (qmltpeq @ X6 @ X7 @ Y0)))))))), 132.87/17.46 define([status(thm)])). 132.87/17.46 thf(zip_derived_cl1254, plain, 132.87/17.46 (( ('#form2' @ '#sk3' @ (op @ e1 @ e1) @ e2) 132.87/17.46 | ('#form4') 132.87/17.46 | ('#form2' @ '#sk3' @ (op @ e1 @ e1) @ e0) 132.87/17.46 | ('#form2' @ '#sk3' @ (op @ e3 @ e3) @ e1))), 132.87/17.46 inference('renaming', [status(thm)], 132.87/17.46 [zip_derived_cl1221, zip_derived_cl256, zip_derived_cl190])). 132.87/17.46 thf(zip_derived_cl1119, plain, 132.87/17.46 (( (mbox @ (qmltpeq @ (op @ e1 @ e1) @ e2) @ '#sk3') 132.87/17.46 | ('#form4') 132.87/17.46 | ('#form2' @ '#sk3' @ (op @ e1 @ e1) @ e0) 132.87/17.46 | ('#form2' @ '#sk3' @ (op @ e1 @ e1) @ e1))), 132.87/17.46 inference('lazy_cnf_and', [status(thm)], [zip_derived_cl1083])). 132.87/17.46 thf(zip_derived_cl1154, plain, 132.87/17.46 (( (((!!) @ (^[Y0 : mworld]: 132.87/17.46 (((mrel @ '#sk3' @ Y0) => (qmltpeq @ (op @ e1 @ e1) @ 132.87/17.46 e2 @ Y0)))))) 132.87/17.46 | ('#form2' @ '#sk3' @ (op @ e1 @ e1) @ e1) 132.87/17.46 | ('#form2' @ '#sk3' @ (op @ e1 @ e1) @ e0) 132.87/17.46 | ('#form4'))), 132.87/17.46 inference('rw_clause', [status(thm)], [zip_derived_cl1119, '4'])). 132.87/17.46 thf(zip_derived_cl256, plain, 132.87/17.46 (![X3 : mworld, X6 : $i, X7 : $i]: 132.87/17.46 (~ ('#form2' @ X3 @ X6 @ X7) 132.87/17.46 | (((!!) @ (^[Y0 : mworld]: 132.87/17.46 (((mrel @ X3 @ Y0) => (qmltpeq @ X6 @ X7 @ Y0)))))))), 132.87/17.46 define([status(thm)])). 132.87/17.46 thf(zip_derived_cl190, plain, 132.87/17.46 (![X3 : mworld, X6 : $i, X7 : $i]: 132.87/17.46 ( ('#form2' @ X3 @ X6 @ X7) 132.87/17.46 | ~ (((!!) @ (^[Y0 : mworld]: 132.87/17.46 (((mrel @ X3 @ Y0) => (qmltpeq @ X6 @ X7 @ Y0)))))))), 132.87/17.46 define([status(thm)])). 132.87/17.46 thf(zip_derived_cl1193, plain, 132.87/17.46 (( ('#form2' @ '#sk3' @ (op @ e1 @ e1) @ e2) 132.87/17.46 | ('#form4') 132.87/17.46 | ('#form2' @ '#sk3' @ (op @ e1 @ e1) @ e0) 132.87/17.46 | ('#form2' @ '#sk3' @ (op @ e1 @ e1) @ e1))), 132.87/17.46 inference('renaming', [status(thm)], 132.87/17.46 [zip_derived_cl1154, zip_derived_cl256, zip_derived_cl190])). 132.87/17.46 thf(zip_derived_cl966, plain, 132.87/17.46 (( (mbox @ (qmltpeq @ (op @ e2 @ e2) @ e1) @ '#sk3') 132.87/17.46 | (((mand @ (mbox @ (qmltpeq @ (op @ e0 @ e0) @ e3)) @ 132.87/17.46 (mand @ (mbox @ (qmltpeq @ (op @ e1 @ e1) @ e3)) @ 132.87/17.46 (mand @ (mbox @ (qmltpeq @ (op @ e2 @ e2) @ e3)) @ 132.87/17.46 (mbox @ (qmltpeq @ (op @ e3 @ e3) @ e3)))) @ 132.87/17.46 '#sk3') | (mand @ (mbox @ (qmltpeq @ (op @ e0 @ e0) @ e2)) @ 132.87/17.46 (mand @ (mbox @ (qmltpeq @ (op @ e1 @ e1) @ e2)) @ 132.87/17.46 (mand @ (mbox @ (qmltpeq @ (op @ e2 @ e2) @ e2)) @ 132.87/17.46 (mbox @ (qmltpeq @ (op @ e3 @ e3) @ e2)))) @ 132.87/17.46 '#sk3'))) 132.87/17.46 | ('#form2' @ '#sk3' @ (op @ e3 @ e3) @ e0))), 132.87/17.46 inference('lazy_cnf_and', [status(thm)], [zip_derived_cl943])). 132.87/17.46 thf(zip_derived_cl989, plain, 132.87/17.46 (( (((!!) @ (^[Y0 : mworld]: 132.87/17.46 (((mrel @ '#sk3' @ Y0) => (qmltpeq @ (op @ e2 @ e2) @ 132.87/17.46 e1 @ Y0)))))) 132.87/17.46 | ('#form2' @ '#sk3' @ (op @ e3 @ e3) @ e0) 132.87/17.46 | (((mand @ (mbox @ (qmltpeq @ (op @ e0 @ e0) @ e3)) @ 132.87/17.46 (mand @ (mbox @ (qmltpeq @ (op @ e1 @ e1) @ e3)) @ 132.87/17.46 (mand @ (mbox @ (qmltpeq @ (op @ e2 @ e2) @ e3)) @ 132.87/17.46 (mbox @ (qmltpeq @ (op @ e3 @ e3) @ e3)))) @ 132.87/17.46 '#sk3') | (mand @ (mbox @ (qmltpeq @ (op @ e0 @ e0) @ e2)) @ 132.87/17.46 (mand @ (mbox @ (qmltpeq @ (op @ e1 @ e1) @ e2)) @ 132.87/17.46 (mand @ (mbox @ (qmltpeq @ (op @ e2 @ e2) @ e2)) @ 132.87/17.46 (mbox @ (qmltpeq @ (op @ e3 @ e3) @ e2)))) @ 132.87/17.46 '#sk3'))))), 132.87/17.46 inference('rw_clause', [status(thm)], [zip_derived_cl966, '4'])). 132.87/17.46 thf(zip_derived_cl256, plain, 132.87/17.46 (![X3 : mworld, X6 : $i, X7 : $i]: 132.87/17.46 (~ ('#form2' @ X3 @ X6 @ X7) 132.87/17.46 | (((!!) @ (^[Y0 : mworld]: 132.87/17.46 (((mrel @ X3 @ Y0) => (qmltpeq @ X6 @ X7 @ Y0)))))))), 132.87/17.46 define([status(thm)])). 132.87/17.46 thf(zip_derived_cl190, plain, 132.87/17.46 (![X3 : mworld, X6 : $i, X7 : $i]: 132.87/17.46 ( ('#form2' @ X3 @ X6 @ X7) 132.87/17.46 | ~ (((!!) @ (^[Y0 : mworld]: 132.87/17.46 (((mrel @ X3 @ Y0) => (qmltpeq @ X6 @ X7 @ Y0)))))))), 132.87/17.46 define([status(thm)])). 132.87/17.46 thf(zip_derived_cl1015, plain, 132.87/17.46 (( ('#form2' @ '#sk3' @ (op @ e2 @ e2) @ e1) 132.87/17.46 | (((mand @ (mbox @ (qmltpeq @ (op @ e0 @ e0) @ e3)) @ 132.87/17.46 (mand @ (mbox @ (qmltpeq @ (op @ e1 @ e1) @ e3)) @ 132.87/17.46 (mand @ (mbox @ (qmltpeq @ (op @ e2 @ e2) @ e3)) @ 132.87/17.46 (mbox @ (qmltpeq @ (op @ e3 @ e3) @ e3)))) @ 132.87/17.46 '#sk3') | (mand @ (mbox @ (qmltpeq @ (op @ e0 @ e0) @ e2)) @ 132.87/17.46 (mand @ (mbox @ (qmltpeq @ (op @ e1 @ e1) @ e2)) @ 132.87/17.46 (mand @ (mbox @ (qmltpeq @ (op @ e2 @ e2) @ e2)) @ 132.87/17.46 (mbox @ (qmltpeq @ (op @ e3 @ e3) @ e2)))) @ 132.87/17.46 '#sk3'))) 132.87/17.46 | ('#form2' @ '#sk3' @ (op @ e3 @ e3) @ e0))), 132.87/17.46 inference('renaming', [status(thm)], 132.87/17.46 [zip_derived_cl989, zip_derived_cl256, zip_derived_cl190])). 132.87/17.46 thf(zip_derived_cl1040, plain, 132.87/17.46 (( (mand @ (mbox @ (qmltpeq @ (op @ e0 @ e0) @ e3)) @ 132.87/17.46 (mand @ (mbox @ (qmltpeq @ (op @ e1 @ e1) @ e3)) @ 132.87/17.46 (mand @ (mbox @ (qmltpeq @ (op @ e2 @ e2) @ e3)) @ 132.87/17.46 (mbox @ (qmltpeq @ (op @ e3 @ e3) @ e3)))) @ 132.87/17.46 '#sk3') 132.87/17.46 | (mand @ (mbox @ (qmltpeq @ (op @ e0 @ e0) @ e2)) @ 132.87/17.46 (mand @ (mbox @ (qmltpeq @ (op @ e1 @ e1) @ e2)) @ 132.87/17.46 (mand @ (mbox @ (qmltpeq @ (op @ e2 @ e2) @ e2)) @ 132.87/17.46 (mbox @ (qmltpeq @ (op @ e3 @ e3) @ e2)))) @ 132.87/17.46 '#sk3') 132.87/17.46 | ('#form2' @ '#sk3' @ (op @ e3 @ e3) @ e0) 132.87/17.46 | ('#form2' @ '#sk3' @ (op @ e2 @ e2) @ e1))), 132.87/17.46 inference('lazy_cnf_or', [status(thm)], [zip_derived_cl1015])). 132.87/17.46 thf(zip_derived_cl1072, plain, 132.87/17.46 (( (((mand @ (mbox @ (qmltpeq @ (op @ e1 @ e1) @ e3)) @ 132.87/17.46 (mand @ (mbox @ (qmltpeq @ (op @ e2 @ e2) @ e3)) @ 132.87/17.46 (mbox @ (qmltpeq @ (op @ e3 @ e3) @ e3))) @ 132.87/17.46 '#sk3') & (mbox @ (qmltpeq @ (op @ e0 @ e0) @ e3) @ '#sk3'))) 132.87/17.46 | ('#form2' @ '#sk3' @ (op @ e2 @ e2) @ e1) 132.87/17.46 | ('#form2' @ '#sk3' @ (op @ e3 @ e3) @ e0) 132.87/17.46 | (mand @ (mbox @ (qmltpeq @ (op @ e0 @ e0) @ e2)) @ 132.87/17.46 (mand @ (mbox @ (qmltpeq @ (op @ e1 @ e1) @ e2)) @ 132.87/17.46 (mand @ (mbox @ (qmltpeq @ (op @ e2 @ e2) @ e2)) @ 132.87/17.46 (mbox @ (qmltpeq @ (op @ e3 @ e3) @ e2)))) @ 132.87/17.46 '#sk3'))), 132.87/17.46 inference('rw_clause', [status(thm)], [zip_derived_cl1040, '3'])). 132.87/17.46 thf(zip_derived_cl952, plain, 132.87/17.46 ((~ ('#form4') 132.87/17.46 | (((mand @ (mbox @ (qmltpeq @ (op @ e1 @ e1) @ e3)) @ 132.87/17.46 (mand @ (mbox @ (qmltpeq @ (op @ e2 @ e2) @ e3)) @ 132.87/17.46 (mbox @ (qmltpeq @ (op @ e3 @ e3) @ e3))) @ 132.87/17.46 '#sk3') & (mbox @ (qmltpeq @ (op @ e0 @ e0) @ e3) @ '#sk3'))))), 132.87/17.46 define([status(thm)])). 132.87/17.46 thf(zip_derived_cl1101, plain, 132.87/17.46 (( ('#form4') 132.87/17.46 | (mand @ (mbox @ (qmltpeq @ (op @ e0 @ e0) @ e2)) @ 132.87/17.46 (mand @ (mbox @ (qmltpeq @ (op @ e1 @ e1) @ e2)) @ 132.87/17.46 (mand @ (mbox @ (qmltpeq @ (op @ e2 @ e2) @ e2)) @ 132.87/17.46 (mbox @ (qmltpeq @ (op @ e3 @ e3) @ e2)))) @ 132.87/17.46 '#sk3') 132.87/17.46 | ('#form2' @ '#sk3' @ (op @ e3 @ e3) @ e0) 132.87/17.46 | ('#form2' @ '#sk3' @ (op @ e2 @ e2) @ e1))), 132.87/17.46 inference('renaming', [status(thm)], 132.87/17.46 [zip_derived_cl1072, zip_derived_cl952])). 132.87/17.46 thf(zip_derived_cl1138, plain, 132.87/17.46 (( (((mand @ (mbox @ (qmltpeq @ (op @ e1 @ e1) @ e2)) @ 132.87/17.46 (mand @ (mbox @ (qmltpeq @ (op @ e2 @ e2) @ e2)) @ 132.87/17.46 (mbox @ (qmltpeq @ (op @ e3 @ e3) @ e2))) @ 132.87/17.46 '#sk3') & (mbox @ (qmltpeq @ (op @ e0 @ e0) @ e2) @ '#sk3'))) 132.87/17.46 | ('#form2' @ '#sk3' @ (op @ e2 @ e2) @ e1) 132.87/17.46 | ('#form2' @ '#sk3' @ (op @ e3 @ e3) @ e0) 132.87/17.46 | ('#form4'))), 132.87/17.46 inference('rw_clause', [status(thm)], [zip_derived_cl1101, '3'])). 132.87/17.46 thf(zip_derived_cl1167, plain, 132.87/17.46 (( (mand @ (mbox @ (qmltpeq @ (op @ e1 @ e1) @ e2)) @ 132.87/17.46 (mand @ (mbox @ (qmltpeq @ (op @ e2 @ e2) @ e2)) @ 132.87/17.46 (mbox @ (qmltpeq @ (op @ e3 @ e3) @ e2))) @ 132.87/17.46 '#sk3') 132.87/17.46 | ('#form4') 132.87/17.46 | ('#form2' @ '#sk3' @ (op @ e3 @ e3) @ e0) 132.87/17.46 | ('#form2' @ '#sk3' @ (op @ e2 @ e2) @ e1))), 132.87/17.46 inference('lazy_cnf_and', [status(thm)], [zip_derived_cl1138])). 132.87/17.46 thf(zip_derived_cl1206, plain, 132.87/17.46 (( (((mand @ (mbox @ (qmltpeq @ (op @ e2 @ e2) @ e2)) @ 132.87/17.46 (mbox @ (qmltpeq @ (op @ e3 @ e3) @ e2)) @ '#sk3') & (mbox @ 132.87/17.46 (qmltpeq @ (op @ e1 @ e1) @ e2) @ '#sk3'))) 132.87/17.46 | ('#form2' @ '#sk3' @ (op @ e2 @ e2) @ e1) 132.87/17.46 | ('#form2' @ '#sk3' @ (op @ e3 @ e3) @ e0) 132.87/17.46 | ('#form4'))), 132.87/17.46 inference('rw_clause', [status(thm)], [zip_derived_cl1167, '3'])). 132.87/17.46 thf(zip_derived_cl1233, plain, 132.87/17.46 (( (mand @ (mbox @ (qmltpeq @ (op @ e2 @ e2) @ e2)) @ 132.87/17.46 (mbox @ (qmltpeq @ (op @ e3 @ e3) @ e2)) @ '#sk3') 132.87/17.46 | ('#form4') 132.87/17.46 | ('#form2' @ '#sk3' @ (op @ e3 @ e3) @ e0) 132.87/17.46 | ('#form2' @ '#sk3' @ (op @ e2 @ e2) @ e1))), 132.87/17.46 inference('lazy_cnf_and', [status(thm)], [zip_derived_cl1206])). 132.87/17.46 thf(zip_derived_cl1266, plain, 132.87/17.46 (( (((mbox @ (qmltpeq @ (op @ e3 @ e3) @ e2) @ '#sk3') & (mbox @ 132.87/17.46 (qmltpeq @ (op @ e2 @ e2) @ e2) @ '#sk3'))) 132.87/17.46 | ('#form2' @ '#sk3' @ (op @ e2 @ e2) @ e1) 132.87/17.46 | ('#form2' @ '#sk3' @ (op @ e3 @ e3) @ e0) 132.87/17.46 | ('#form4'))), 132.87/17.46 inference('rw_clause', [status(thm)], [zip_derived_cl1233, '3'])). 132.87/17.46 thf(zip_derived_cl1283, plain, 132.87/17.46 (( (mbox @ (qmltpeq @ (op @ e3 @ e3) @ e2) @ '#sk3') 132.87/17.46 | ('#form4') 132.87/17.46 | ('#form2' @ '#sk3' @ (op @ e3 @ e3) @ e0) 132.87/17.46 | ('#form2' @ '#sk3' @ (op @ e2 @ e2) @ e1))), 132.87/17.46 inference('lazy_cnf_and', [status(thm)], [zip_derived_cl1266])). 132.87/17.46 thf(zip_derived_cl1302, plain, 132.87/17.46 (( (((!!) @ (^[Y0 : mworld]: 132.87/17.46 (((mrel @ '#sk3' @ Y0) => (qmltpeq @ (op @ e3 @ e3) @ 132.87/17.46 e2 @ Y0)))))) 132.87/17.46 | ('#form2' @ '#sk3' @ (op @ e2 @ e2) @ e1) 132.87/17.46 | ('#form2' @ '#sk3' @ (op @ e3 @ e3) @ e0) 132.87/17.46 | ('#form4'))), 132.87/17.46 inference('rw_clause', [status(thm)], [zip_derived_cl1283, '4'])). 132.87/17.46 thf(zip_derived_cl256, plain, 132.87/17.46 (![X3 : mworld, X6 : $i, X7 : $i]: 132.87/17.46 (~ ('#form2' @ X3 @ X6 @ X7) 132.87/17.46 | (((!!) @ (^[Y0 : mworld]: 132.87/17.46 (((mrel @ X3 @ Y0) => (qmltpeq @ X6 @ X7 @ Y0)))))))), 132.87/17.46 define([status(thm)])). 132.87/17.46 thf(zip_derived_cl190, plain, 132.87/17.46 (![X3 : mworld, X6 : $i, X7 : $i]: 132.87/17.46 ( ('#form2' @ X3 @ X6 @ X7) 132.87/17.46 | ~ (((!!) @ (^[Y0 : mworld]: 132.87/17.46 (((mrel @ X3 @ Y0) => (qmltpeq @ X6 @ X7 @ Y0)))))))), 132.87/17.46 define([status(thm)])). 132.87/17.46 thf(zip_derived_cl1310, plain, 132.87/17.46 (( ('#form2' @ '#sk3' @ (op @ e3 @ e3) @ e2) 132.87/17.46 | ('#form4') 132.87/17.46 | ('#form2' @ '#sk3' @ (op @ e3 @ e3) @ e0) 132.87/17.46 | ('#form2' @ '#sk3' @ (op @ e2 @ e2) @ e1))), 132.87/17.46 inference('renaming', [status(thm)], 132.87/17.46 [zip_derived_cl1302, zip_derived_cl256, zip_derived_cl190])). 132.87/17.46 thf(zip_derived_cl1237, plain, 132.87/17.46 (( (mbox @ (qmltpeq @ (op @ e2 @ e2) @ e2) @ '#sk3') 132.87/17.46 | ('#form4') 132.87/17.46 | ('#form2' @ '#sk3' @ (op @ e3 @ e3) @ e0) 132.87/17.46 | ('#form2' @ '#sk3' @ (op @ e1 @ e1) @ e1))), 132.87/17.46 inference('lazy_cnf_and', [status(thm)], [zip_derived_cl1208])). 132.87/17.46 thf(zip_derived_cl1269, plain, 132.87/17.46 (( (((!!) @ (^[Y0 : mworld]: 132.87/17.46 (((mrel @ '#sk3' @ Y0) => (qmltpeq @ (op @ e2 @ e2) @ 132.87/17.46 e2 @ Y0)))))) 132.87/17.46 | ('#form2' @ '#sk3' @ (op @ e1 @ e1) @ e1) 132.87/17.46 | ('#form2' @ '#sk3' @ (op @ e3 @ e3) @ e0) 132.87/17.46 | ('#form4'))), 132.87/17.46 inference('rw_clause', [status(thm)], [zip_derived_cl1237, '4'])). 132.87/17.46 thf(zip_derived_cl256, plain, 132.87/17.46 (![X3 : mworld, X6 : $i, X7 : $i]: 132.87/17.46 (~ ('#form2' @ X3 @ X6 @ X7) 132.87/17.46 | (((!!) @ (^[Y0 : mworld]: 132.87/17.46 (((mrel @ X3 @ Y0) => (qmltpeq @ X6 @ X7 @ Y0)))))))), 132.87/17.46 define([status(thm)])). 132.87/17.46 thf(zip_derived_cl190, plain, 132.87/17.46 (![X3 : mworld, X6 : $i, X7 : $i]: 132.87/17.46 ( ('#form2' @ X3 @ X6 @ X7) 132.87/17.46 | ~ (((!!) @ (^[Y0 : mworld]: 132.87/17.46 (((mrel @ X3 @ Y0) => (qmltpeq @ X6 @ X7 @ Y0)))))))), 132.87/17.46 define([status(thm)])). 132.87/17.46 thf(zip_derived_cl1287, plain, 132.87/17.46 (( ('#form2' @ '#sk3' @ (op @ e2 @ e2) @ e2) 132.87/17.46 | ('#form4') 132.87/17.46 | ('#form2' @ '#sk3' @ (op @ e3 @ e3) @ e0) 132.87/17.46 | ('#form2' @ '#sk3' @ (op @ e1 @ e1) @ e1))), 132.87/17.46 inference('renaming', [status(thm)], 132.87/17.46 [zip_derived_cl1269, zip_derived_cl256, zip_derived_cl190])). 132.87/17.46 thf(zip_derived_cl1234, plain, 132.87/17.46 (( (mbox @ (qmltpeq @ (op @ e1 @ e1) @ e2) @ '#sk3') 132.87/17.46 | ('#form4') 132.87/17.46 | ('#form2' @ '#sk3' @ (op @ e3 @ e3) @ e0) 132.87/17.46 | ('#form2' @ '#sk3' @ (op @ e2 @ e2) @ e1))), 132.87/17.46 inference('lazy_cnf_and', [status(thm)], [zip_derived_cl1206])). 132.87/17.46 thf(zip_derived_cl1267, plain, 132.87/17.46 (( (((!!) @ (^[Y0 : mworld]: 132.87/17.46 (((mrel @ '#sk3' @ Y0) => (qmltpeq @ (op @ e1 @ e1) @ 132.87/17.46 e2 @ Y0)))))) 132.87/17.46 | ('#form2' @ '#sk3' @ (op @ e2 @ e2) @ e1) 132.87/17.46 | ('#form2' @ '#sk3' @ (op @ e3 @ e3) @ e0) 132.87/17.46 | ('#form4'))), 132.87/17.46 inference('rw_clause', [status(thm)], [zip_derived_cl1234, '4'])). 132.87/17.46 thf(zip_derived_cl256, plain, 132.87/17.46 (![X3 : mworld, X6 : $i, X7 : $i]: 132.87/17.46 (~ ('#form2' @ X3 @ X6 @ X7) 132.87/17.46 | (((!!) @ (^[Y0 : mworld]: 132.87/17.46 (((mrel @ X3 @ Y0) => (qmltpeq @ X6 @ X7 @ Y0)))))))), 132.87/17.46 define([status(thm)])). 132.87/17.46 thf(zip_derived_cl190, plain, 132.87/17.46 (![X3 : mworld, X6 : $i, X7 : $i]: 132.87/17.46 ( ('#form2' @ X3 @ X6 @ X7) 132.87/17.46 | ~ (((!!) @ (^[Y0 : mworld]: 132.87/17.46 (((mrel @ X3 @ Y0) => (qmltpeq @ X6 @ X7 @ Y0)))))))), 132.87/17.46 define([status(thm)])). 132.87/17.46 thf(zip_derived_cl1285, plain, 132.87/17.46 (( ('#form2' @ '#sk3' @ (op @ e1 @ e1) @ e2) 132.87/17.46 | ('#form4') 132.87/17.46 | ('#form2' @ '#sk3' @ (op @ e3 @ e3) @ e0) 132.87/17.46 | ('#form2' @ '#sk3' @ (op @ e2 @ e2) @ e1))), 132.87/17.46 inference('renaming', [status(thm)], 132.87/17.46 [zip_derived_cl1267, zip_derived_cl256, zip_derived_cl190])). 132.87/17.46 thf(zip_derived_cl1253, plain, 132.87/17.46 (( (mbox @ (qmltpeq @ (op @ e2 @ e2) @ e2) @ '#sk3') 132.87/17.46 | ('#form4') 132.87/17.46 | ('#form2' @ '#sk3' @ (op @ e1 @ e1) @ e0) 132.87/17.46 | ('#form2' @ '#sk3' @ (op @ e3 @ e3) @ e1))), 132.87/17.46 inference('lazy_cnf_and', [status(thm)], [zip_derived_cl1220])). 132.87/17.46 thf(zip_derived_cl1277, plain, 132.87/17.46 (( (((!!) @ (^[Y0 : mworld]: 132.87/17.46 (((mrel @ '#sk3' @ Y0) => (qmltpeq @ (op @ e2 @ e2) @ 132.87/17.46 e2 @ Y0)))))) 132.87/17.46 | ('#form2' @ '#sk3' @ (op @ e3 @ e3) @ e1) 132.87/17.46 | ('#form2' @ '#sk3' @ (op @ e1 @ e1) @ e0) 132.87/17.46 | ('#form4'))), 132.87/17.46 inference('rw_clause', [status(thm)], [zip_derived_cl1253, '4'])). 132.87/17.46 thf(zip_derived_cl256, plain, 132.87/17.46 (![X3 : mworld, X6 : $i, X7 : $i]: 132.87/17.46 (~ ('#form2' @ X3 @ X6 @ X7) 132.87/17.46 | (((!!) @ (^[Y0 : mworld]: 132.87/17.46 (((mrel @ X3 @ Y0) => (qmltpeq @ X6 @ X7 @ Y0)))))))), 132.87/17.46 define([status(thm)])). 132.87/17.46 thf(zip_derived_cl190, plain, 132.87/17.46 (![X3 : mworld, X6 : $i, X7 : $i]: 132.87/17.46 ( ('#form2' @ X3 @ X6 @ X7) 132.87/17.46 | ~ (((!!) @ (^[Y0 : mworld]: 132.87/17.46 (((mrel @ X3 @ Y0) => (qmltpeq @ X6 @ X7 @ Y0)))))))), 132.87/17.46 define([status(thm)])). 132.87/17.46 thf(zip_derived_cl1297, plain, 132.87/17.46 (( ('#form2' @ '#sk3' @ (op @ e2 @ e2) @ e2) 132.87/17.46 | ('#form4') 132.87/17.46 | ('#form2' @ '#sk3' @ (op @ e1 @ e1) @ e0) 132.87/17.46 | ('#form2' @ '#sk3' @ (op @ e3 @ e3) @ e1))), 132.87/17.46 inference('renaming', [status(thm)], 132.87/17.46 [zip_derived_cl1277, zip_derived_cl256, zip_derived_cl190])). 132.87/17.46 thf(zip_derived_cl1192, plain, 132.87/17.46 (( (mbox @ (qmltpeq @ (op @ e2 @ e2) @ e2) @ '#sk3') 132.87/17.46 | ('#form4') 132.87/17.46 | ('#form2' @ '#sk3' @ (op @ e1 @ e1) @ e0) 132.87/17.46 | ('#form2' @ '#sk3' @ (op @ e1 @ e1) @ e1))), 132.87/17.46 inference('lazy_cnf_and', [status(thm)], [zip_derived_cl1153])). 132.87/17.46 thf(zip_derived_cl1225, plain, 132.87/17.46 (( (((!!) @ (^[Y0 : mworld]: 132.87/17.46 (((mrel @ '#sk3' @ Y0) => (qmltpeq @ (op @ e2 @ e2) @ 132.87/17.46 e2 @ Y0)))))) 132.87/17.46 | ('#form2' @ '#sk3' @ (op @ e1 @ e1) @ e1) 132.87/17.46 | ('#form2' @ '#sk3' @ (op @ e1 @ e1) @ e0) 132.87/17.46 | ('#form4'))), 132.87/17.46 inference('rw_clause', [status(thm)], [zip_derived_cl1192, '4'])). 132.87/17.46 thf(zip_derived_cl256, plain, 132.87/17.46 (![X3 : mworld, X6 : $i, X7 : $i]: 132.87/17.46 (~ ('#form2' @ X3 @ X6 @ X7) 132.87/17.46 | (((!!) @ (^[Y0 : mworld]: 132.87/17.46 (((mrel @ X3 @ Y0) => (qmltpeq @ X6 @ X7 @ Y0)))))))), 132.87/17.46 define([status(thm)])). 132.87/17.46 thf(zip_derived_cl190, plain, 132.87/17.46 (![X3 : mworld, X6 : $i, X7 : $i]: 132.87/17.46 ( ('#form2' @ X3 @ X6 @ X7) 132.87/17.46 | ~ (((!!) @ (^[Y0 : mworld]: 132.87/17.46 (((mrel @ X3 @ Y0) => (qmltpeq @ X6 @ X7 @ Y0)))))))), 132.87/17.46 define([status(thm)])). 132.87/17.46 thf(zip_derived_cl1259, plain, 132.87/17.46 (( ('#form2' @ '#sk3' @ (op @ e2 @ e2) @ e2) 132.87/17.46 | ('#form4') 132.87/17.46 | ('#form2' @ '#sk3' @ (op @ e1 @ e1) @ e0) 132.87/17.46 | ('#form2' @ '#sk3' @ (op @ e1 @ e1) @ e1))), 132.87/17.46 inference('renaming', [status(thm)], 132.87/17.46 [zip_derived_cl1225, zip_derived_cl256, zip_derived_cl190])). 132.87/17.46 thf(zip_derived_cl839, plain, 132.87/17.46 (( (mbox @ (qmltpeq @ (op @ e2 @ e2) @ e0) @ '#sk3') 132.87/17.46 | (((mor @ 132.87/17.46 (mand @ (mbox @ (qmltpeq @ (op @ e0 @ e0) @ e2)) @ 132.87/17.46 (mand @ (mbox @ (qmltpeq @ (op @ e1 @ e1) @ e2)) @ 132.87/17.46 (mand @ (mbox @ (qmltpeq @ (op @ e2 @ e2) @ e2)) @ 132.87/17.46 (mbox @ (qmltpeq @ (op @ e3 @ e3) @ e2))))) @ 132.87/17.46 (mand @ (mbox @ (qmltpeq @ (op @ e0 @ e0) @ e3)) @ 132.87/17.46 (mand @ (mbox @ (qmltpeq @ (op @ e1 @ e1) @ e3)) @ 132.87/17.46 (mand @ (mbox @ (qmltpeq @ (op @ e2 @ e2) @ e3)) @ 132.87/17.46 (mbox @ (qmltpeq @ (op @ e3 @ e3) @ e3))))) @ 132.87/17.46 '#sk3') | (mand @ (mbox @ (qmltpeq @ (op @ e0 @ e0) @ e1)) @ 132.87/17.46 (mand @ (mbox @ (qmltpeq @ (op @ e1 @ e1) @ e1)) @ 132.87/17.46 (mand @ (mbox @ (qmltpeq @ (op @ e2 @ e2) @ e1)) @ 132.87/17.46 (mbox @ (qmltpeq @ (op @ e3 @ e3) @ e1)))) @ 132.87/17.46 '#sk3'))))), 132.87/17.46 inference('lazy_cnf_and', [status(thm)], [zip_derived_cl832])). 132.87/17.46 thf(zip_derived_cl847, plain, 132.87/17.46 (( (((!!) @ (^[Y0 : mworld]: 132.87/17.46 (((mrel @ '#sk3' @ Y0) => (qmltpeq @ (op @ e2 @ e2) @ 132.87/17.46 e0 @ Y0)))))) 132.87/17.46 | (((mor @ 132.87/17.46 (mand @ (mbox @ (qmltpeq @ (op @ e0 @ e0) @ e2)) @ 132.87/17.46 (mand @ (mbox @ (qmltpeq @ (op @ e1 @ e1) @ e2)) @ 132.87/17.46 (mand @ (mbox @ (qmltpeq @ (op @ e2 @ e2) @ e2)) @ 132.87/17.46 (mbox @ (qmltpeq @ (op @ e3 @ e3) @ e2))))) @ 132.87/17.46 (mand @ (mbox @ (qmltpeq @ (op @ e0 @ e0) @ e3)) @ 132.87/17.46 (mand @ (mbox @ (qmltpeq @ (op @ e1 @ e1) @ e3)) @ 132.87/17.46 (mand @ (mbox @ (qmltpeq @ (op @ e2 @ e2) @ e3)) @ 132.87/17.46 (mbox @ (qmltpeq @ (op @ e3 @ e3) @ e3))))) @ 132.87/17.46 '#sk3') | (mand @ (mbox @ (qmltpeq @ (op @ e0 @ e0) @ e1)) @ 132.87/17.46 (mand @ (mbox @ (qmltpeq @ (op @ e1 @ e1) @ e1)) @ 132.87/17.46 (mand @ (mbox @ (qmltpeq @ (op @ e2 @ e2) @ e1)) @ 132.87/17.46 (mbox @ (qmltpeq @ (op @ e3 @ e3) @ e1)))) @ 132.87/17.46 '#sk3'))))), 132.87/17.46 inference('rw_clause', [status(thm)], [zip_derived_cl839, '4'])). 132.87/17.46 thf(zip_derived_cl256, plain, 132.87/17.46 (![X3 : mworld, X6 : $i, X7 : $i]: 132.87/17.46 (~ ('#form2' @ X3 @ X6 @ X7) 132.87/17.46 | (((!!) @ (^[Y0 : mworld]: 132.87/17.46 (((mrel @ X3 @ Y0) => (qmltpeq @ X6 @ X7 @ Y0)))))))), 132.87/17.46 define([status(thm)])). 132.87/17.46 thf(zip_derived_cl190, plain, 132.87/17.46 (![X3 : mworld, X6 : $i, X7 : $i]: 132.87/17.46 ( ('#form2' @ X3 @ X6 @ X7) 132.87/17.46 | ~ (((!!) @ (^[Y0 : mworld]: 132.87/17.46 (((mrel @ X3 @ Y0) => (qmltpeq @ X6 @ X7 @ Y0)))))))), 132.87/17.46 define([status(thm)])). 132.87/17.46 thf(zip_derived_cl855, plain, 132.87/17.46 (( ('#form2' @ '#sk3' @ (op @ e2 @ e2) @ e0) 132.87/17.46 | (((mor @ 132.87/17.46 (mand @ (mbox @ (qmltpeq @ (op @ e0 @ e0) @ e2)) @ 132.87/17.46 (mand @ (mbox @ (qmltpeq @ (op @ e1 @ e1) @ e2)) @ 132.87/17.46 (mand @ (mbox @ (qmltpeq @ (op @ e2 @ e2) @ e2)) @ 132.87/17.46 (mbox @ (qmltpeq @ (op @ e3 @ e3) @ e2))))) @ 132.87/17.46 (mand @ (mbox @ (qmltpeq @ (op @ e0 @ e0) @ e3)) @ 132.87/17.46 (mand @ (mbox @ (qmltpeq @ (op @ e1 @ e1) @ e3)) @ 132.87/17.46 (mand @ (mbox @ (qmltpeq @ (op @ e2 @ e2) @ e3)) @ 132.87/17.46 (mbox @ (qmltpeq @ (op @ e3 @ e3) @ e3))))) @ 132.87/17.46 '#sk3') | (mand @ (mbox @ (qmltpeq @ (op @ e0 @ e0) @ e1)) @ 132.87/17.46 (mand @ (mbox @ (qmltpeq @ (op @ e1 @ e1) @ e1)) @ 132.87/17.46 (mand @ (mbox @ (qmltpeq @ (op @ e2 @ e2) @ e1)) @ 132.87/17.46 (mbox @ (qmltpeq @ (op @ e3 @ e3) @ e1)))) @ 132.87/17.46 '#sk3'))))), 132.87/17.46 inference('renaming', [status(thm)], 132.87/17.46 [zip_derived_cl847, zip_derived_cl256, zip_derived_cl190])). 132.87/17.46 thf(zip_derived_cl864, plain, 132.87/17.46 (( (mor @ 132.87/17.46 (mand @ (mbox @ (qmltpeq @ (op @ e0 @ e0) @ e2)) @ 132.87/17.46 (mand @ (mbox @ (qmltpeq @ (op @ e1 @ e1) @ e2)) @ 132.87/17.46 (mand @ (mbox @ (qmltpeq @ (op @ e2 @ e2) @ e2)) @ 132.87/17.46 (mbox @ (qmltpeq @ (op @ e3 @ e3) @ e2))))) @ 132.87/17.46 (mand @ (mbox @ (qmltpeq @ (op @ e0 @ e0) @ e3)) @ 132.87/17.46 (mand @ (mbox @ (qmltpeq @ (op @ e1 @ e1) @ e3)) @ 132.87/17.46 (mand @ (mbox @ (qmltpeq @ (op @ e2 @ e2) @ e3)) @ 132.87/17.46 (mbox @ (qmltpeq @ (op @ e3 @ e3) @ e3))))) @ 132.87/17.46 '#sk3') 132.87/17.46 | (mand @ (mbox @ (qmltpeq @ (op @ e0 @ e0) @ e1)) @ 132.87/17.46 (mand @ (mbox @ (qmltpeq @ (op @ e1 @ e1) @ e1)) @ 132.87/17.46 (mand @ (mbox @ (qmltpeq @ (op @ e2 @ e2) @ e1)) @ 132.87/17.46 (mbox @ (qmltpeq @ (op @ e3 @ e3) @ e1)))) @ 132.87/17.46 '#sk3') 132.87/17.46 | ('#form2' @ '#sk3' @ (op @ e2 @ e2) @ e0))), 132.87/17.46 inference('lazy_cnf_or', [status(thm)], [zip_derived_cl855])). 132.87/17.46 thf(zip_derived_cl873, plain, 132.87/17.46 (( (((mand @ (mbox @ (qmltpeq @ (op @ e0 @ e0) @ e3)) @ 132.87/17.46 (mand @ (mbox @ (qmltpeq @ (op @ e1 @ e1) @ e3)) @ 132.87/17.46 (mand @ (mbox @ (qmltpeq @ (op @ e2 @ e2) @ e3)) @ 132.87/17.46 (mbox @ (qmltpeq @ (op @ e3 @ e3) @ e3)))) @ 132.87/17.46 '#sk3') | (mand @ (mbox @ (qmltpeq @ (op @ e0 @ e0) @ e2)) @ 132.87/17.46 (mand @ (mbox @ (qmltpeq @ (op @ e1 @ e1) @ e2)) @ 132.87/17.46 (mand @ (mbox @ (qmltpeq @ (op @ e2 @ e2) @ e2)) @ 132.87/17.46 (mbox @ (qmltpeq @ (op @ e3 @ e3) @ e2)))) @ 132.87/17.46 '#sk3'))) 132.87/17.46 | ('#form2' @ '#sk3' @ (op @ e2 @ e2) @ e0) 132.87/17.46 | (mand @ (mbox @ (qmltpeq @ (op @ e0 @ e0) @ e1)) @ 132.87/17.46 (mand @ (mbox @ (qmltpeq @ (op @ e1 @ e1) @ e1)) @ 132.87/17.46 (mand @ (mbox @ (qmltpeq @ (op @ e2 @ e2) @ e1)) @ 132.87/17.46 (mbox @ (qmltpeq @ (op @ e3 @ e3) @ e1)))) @ 132.87/17.46 '#sk3'))), 132.87/17.46 inference('rw_clause', [status(thm)], [zip_derived_cl864, '10'])). 132.87/17.46 thf(zip_derived_cl884, plain, 132.87/17.46 (( (((mand @ (mbox @ (qmltpeq @ (op @ e1 @ e1) @ e1)) @ 132.87/17.46 (mand @ (mbox @ (qmltpeq @ (op @ e2 @ e2) @ e1)) @ 132.87/17.46 (mbox @ (qmltpeq @ (op @ e3 @ e3) @ e1))) @ 132.87/17.46 '#sk3') & (mbox @ (qmltpeq @ (op @ e0 @ e0) @ e1) @ '#sk3'))) 132.87/17.46 | ('#form2' @ '#sk3' @ (op @ e2 @ e2) @ e0) 132.87/17.46 | (((mand @ (mbox @ (qmltpeq @ (op @ e0 @ e0) @ e3)) @ 132.87/17.46 (mand @ (mbox @ (qmltpeq @ (op @ e1 @ e1) @ e3)) @ 132.87/17.46 (mand @ (mbox @ (qmltpeq @ (op @ e2 @ e2) @ e3)) @ 132.87/17.46 (mbox @ (qmltpeq @ (op @ e3 @ e3) @ e3)))) @ 132.87/17.46 '#sk3') | (mand @ (mbox @ (qmltpeq @ (op @ e0 @ e0) @ e2)) @ 132.87/17.46 (mand @ (mbox @ (qmltpeq @ (op @ e1 @ e1) @ e2)) @ 132.87/17.46 (mand @ (mbox @ (qmltpeq @ (op @ e2 @ e2) @ e2)) @ 132.87/17.46 (mbox @ (qmltpeq @ (op @ e3 @ e3) @ e2)))) @ 132.87/17.46 '#sk3'))))), 132.87/17.46 inference('rw_clause', [status(thm)], [zip_derived_cl873, '3'])). 132.87/17.46 thf(zip_derived_cl896, plain, 132.87/17.46 (( (mand @ (mbox @ (qmltpeq @ (op @ e1 @ e1) @ e1)) @ 132.87/17.46 (mand @ (mbox @ (qmltpeq @ (op @ e2 @ e2) @ e1)) @ 132.87/17.46 (mbox @ (qmltpeq @ (op @ e3 @ e3) @ e1))) @ 132.87/17.46 '#sk3') 132.87/17.46 | (((mand @ (mbox @ (qmltpeq @ (op @ e0 @ e0) @ e3)) @ 132.87/17.46 (mand @ (mbox @ (qmltpeq @ (op @ e1 @ e1) @ e3)) @ 132.87/17.46 (mand @ (mbox @ (qmltpeq @ (op @ e2 @ e2) @ e3)) @ 132.87/17.46 (mbox @ (qmltpeq @ (op @ e3 @ e3) @ e3)))) @ 132.87/17.46 '#sk3') | (mand @ (mbox @ (qmltpeq @ (op @ e0 @ e0) @ e2)) @ 132.87/17.46 (mand @ (mbox @ (qmltpeq @ (op @ e1 @ e1) @ e2)) @ 132.87/17.46 (mand @ (mbox @ (qmltpeq @ (op @ e2 @ e2) @ e2)) @ 132.87/17.46 (mbox @ (qmltpeq @ (op @ e3 @ e3) @ e2)))) @ 132.87/17.46 '#sk3'))) 132.87/17.46 | ('#form2' @ '#sk3' @ (op @ e2 @ e2) @ e0))), 132.87/17.46 inference('lazy_cnf_and', [status(thm)], [zip_derived_cl884])). 132.87/17.46 thf(zip_derived_cl911, plain, 132.87/17.46 (( (((mand @ (mbox @ (qmltpeq @ (op @ e2 @ e2) @ e1)) @ 132.87/17.46 (mbox @ (qmltpeq @ (op @ e3 @ e3) @ e1)) @ '#sk3') & (mbox @ 132.87/17.46 (qmltpeq @ (op @ e1 @ e1) @ e1) @ '#sk3'))) 132.87/17.46 | ('#form2' @ '#sk3' @ (op @ e2 @ e2) @ e0) 132.87/17.46 | (((mand @ (mbox @ (qmltpeq @ (op @ e0 @ e0) @ e3)) @ 132.87/17.46 (mand @ (mbox @ (qmltpeq @ (op @ e1 @ e1) @ e3)) @ 132.87/17.46 (mand @ (mbox @ (qmltpeq @ (op @ e2 @ e2) @ e3)) @ 132.87/17.46 (mbox @ (qmltpeq @ (op @ e3 @ e3) @ e3)))) @ 132.87/17.46 '#sk3') | (mand @ (mbox @ (qmltpeq @ (op @ e0 @ e0) @ e2)) @ 132.87/17.46 (mand @ (mbox @ (qmltpeq @ (op @ e1 @ e1) @ e2)) @ 132.87/17.46 (mand @ (mbox @ (qmltpeq @ (op @ e2 @ e2) @ e2)) @ 132.87/17.46 (mbox @ (qmltpeq @ (op @ e3 @ e3) @ e2)))) @ 132.87/17.46 '#sk3'))))), 132.87/17.46 inference('rw_clause', [status(thm)], [zip_derived_cl896, '3'])). 132.87/17.46 thf(zip_derived_cl927, plain, 132.87/17.46 (( (mand @ (mbox @ (qmltpeq @ (op @ e2 @ e2) @ e1)) @ 132.87/17.46 (mbox @ (qmltpeq @ (op @ e3 @ e3) @ e1)) @ '#sk3') 132.87/17.46 | (((mand @ (mbox @ (qmltpeq @ (op @ e0 @ e0) @ e3)) @ 132.87/17.46 (mand @ (mbox @ (qmltpeq @ (op @ e1 @ e1) @ e3)) @ 132.87/17.46 (mand @ (mbox @ (qmltpeq @ (op @ e2 @ e2) @ e3)) @ 132.87/17.46 (mbox @ (qmltpeq @ (op @ e3 @ e3) @ e3)))) @ 132.87/17.46 '#sk3') | (mand @ (mbox @ (qmltpeq @ (op @ e0 @ e0) @ e2)) @ 132.87/17.46 (mand @ (mbox @ (qmltpeq @ (op @ e1 @ e1) @ e2)) @ 132.87/17.46 (mand @ (mbox @ (qmltpeq @ (op @ e2 @ e2) @ e2)) @ 132.87/17.46 (mbox @ (qmltpeq @ (op @ e3 @ e3) @ e2)))) @ 132.87/17.46 '#sk3'))) 132.87/17.46 | ('#form2' @ '#sk3' @ (op @ e2 @ e2) @ e0))), 132.87/17.46 inference('lazy_cnf_and', [status(thm)], [zip_derived_cl911])). 132.87/17.46 thf(zip_derived_cl946, plain, 132.87/17.46 (( (((mbox @ (qmltpeq @ (op @ e3 @ e3) @ e1) @ '#sk3') & (mbox @ 132.87/17.46 (qmltpeq @ (op @ e2 @ e2) @ e1) @ '#sk3'))) 132.87/17.46 | ('#form2' @ '#sk3' @ (op @ e2 @ e2) @ e0) 132.87/17.46 | (((mand @ (mbox @ (qmltpeq @ (op @ e0 @ e0) @ e3)) @ 132.87/17.46 (mand @ (mbox @ (qmltpeq @ (op @ e1 @ e1) @ e3)) @ 132.87/17.46 (mand @ (mbox @ (qmltpeq @ (op @ e2 @ e2) @ e3)) @ 132.87/17.46 (mbox @ (qmltpeq @ (op @ e3 @ e3) @ e3)))) @ 132.87/17.46 '#sk3') | (mand @ (mbox @ (qmltpeq @ (op @ e0 @ e0) @ e2)) @ 132.87/17.46 (mand @ (mbox @ (qmltpeq @ (op @ e1 @ e1) @ e2)) @ 132.87/17.46 (mand @ (mbox @ (qmltpeq @ (op @ e2 @ e2) @ e2)) @ 132.87/17.46 (mbox @ (qmltpeq @ (op @ e3 @ e3) @ e2)))) @ 132.87/17.46 '#sk3'))))), 132.87/17.46 inference('rw_clause', [status(thm)], [zip_derived_cl927, '3'])). 132.87/17.46 thf(zip_derived_cl969, plain, 132.87/17.46 (( (mbox @ (qmltpeq @ (op @ e3 @ e3) @ e1) @ '#sk3') 132.87/17.46 | (((mand @ (mbox @ (qmltpeq @ (op @ e0 @ e0) @ e3)) @ 132.87/17.46 (mand @ (mbox @ (qmltpeq @ (op @ e1 @ e1) @ e3)) @ 132.87/17.46 (mand @ (mbox @ (qmltpeq @ (op @ e2 @ e2) @ e3)) @ 132.87/17.46 (mbox @ (qmltpeq @ (op @ e3 @ e3) @ e3)))) @ 132.87/17.46 '#sk3') | (mand @ (mbox @ (qmltpeq @ (op @ e0 @ e0) @ e2)) @ 132.87/17.46 (mand @ (mbox @ (qmltpeq @ (op @ e1 @ e1) @ e2)) @ 132.87/17.46 (mand @ (mbox @ (qmltpeq @ (op @ e2 @ e2) @ e2)) @ 132.87/17.46 (mbox @ (qmltpeq @ (op @ e3 @ e3) @ e2)))) @ 132.87/17.46 '#sk3'))) 132.87/17.46 | ('#form2' @ '#sk3' @ (op @ e2 @ e2) @ e0))), 132.87/17.46 inference('lazy_cnf_and', [status(thm)], [zip_derived_cl946])). 132.87/17.46 thf(zip_derived_cl992, plain, 132.87/17.46 (( (((!!) @ (^[Y0 : mworld]: 132.87/17.46 (((mrel @ '#sk3' @ Y0) => (qmltpeq @ (op @ e3 @ e3) @ 132.87/17.46 e1 @ Y0)))))) 132.87/17.46 | ('#form2' @ '#sk3' @ (op @ e2 @ e2) @ e0) 132.87/17.46 | (((mand @ (mbox @ (qmltpeq @ (op @ e0 @ e0) @ e3)) @ 132.87/17.46 (mand @ (mbox @ (qmltpeq @ (op @ e1 @ e1) @ e3)) @ 132.87/17.46 (mand @ (mbox @ (qmltpeq @ (op @ e2 @ e2) @ e3)) @ 132.87/17.46 (mbox @ (qmltpeq @ (op @ e3 @ e3) @ e3)))) @ 132.87/17.46 '#sk3') | (mand @ (mbox @ (qmltpeq @ (op @ e0 @ e0) @ e2)) @ 132.87/17.46 (mand @ (mbox @ (qmltpeq @ (op @ e1 @ e1) @ e2)) @ 132.87/17.46 (mand @ (mbox @ (qmltpeq @ (op @ e2 @ e2) @ e2)) @ 132.87/17.46 (mbox @ (qmltpeq @ (op @ e3 @ e3) @ e2)))) @ 132.87/17.46 '#sk3'))))), 132.87/17.46 inference('rw_clause', [status(thm)], [zip_derived_cl969, '4'])). 132.87/17.46 thf(zip_derived_cl256, plain, 132.87/17.46 (![X3 : mworld, X6 : $i, X7 : $i]: 132.87/17.46 (~ ('#form2' @ X3 @ X6 @ X7) 132.87/17.46 | (((!!) @ (^[Y0 : mworld]: 132.87/17.46 (((mrel @ X3 @ Y0) => (qmltpeq @ X6 @ X7 @ Y0)))))))), 132.87/17.46 define([status(thm)])). 132.87/17.46 thf(zip_derived_cl190, plain, 132.87/17.46 (![X3 : mworld, X6 : $i, X7 : $i]: 132.87/17.46 ( ('#form2' @ X3 @ X6 @ X7) 132.87/17.46 | ~ (((!!) @ (^[Y0 : mworld]: 132.87/17.46 (((mrel @ X3 @ Y0) => (qmltpeq @ X6 @ X7 @ Y0)))))))), 132.87/17.46 define([status(thm)])). 132.87/17.46 thf(zip_derived_cl1018, plain, 132.87/17.46 (( ('#form2' @ '#sk3' @ (op @ e3 @ e3) @ e1) 132.87/17.46 | (((mand @ (mbox @ (qmltpeq @ (op @ e0 @ e0) @ e3)) @ 132.87/17.46 (mand @ (mbox @ (qmltpeq @ (op @ e1 @ e1) @ e3)) @ 132.87/17.46 (mand @ (mbox @ (qmltpeq @ (op @ e2 @ e2) @ e3)) @ 132.87/17.46 (mbox @ (qmltpeq @ (op @ e3 @ e3) @ e3)))) @ 132.87/17.46 '#sk3') | (mand @ (mbox @ (qmltpeq @ (op @ e0 @ e0) @ e2)) @ 132.87/17.46 (mand @ (mbox @ (qmltpeq @ (op @ e1 @ e1) @ e2)) @ 132.87/17.46 (mand @ (mbox @ (qmltpeq @ (op @ e2 @ e2) @ e2)) @ 132.87/17.46 (mbox @ (qmltpeq @ (op @ e3 @ e3) @ e2)))) @ 132.87/17.46 '#sk3'))) 132.87/17.46 | ('#form2' @ '#sk3' @ (op @ e2 @ e2) @ e0))), 132.87/17.46 inference('renaming', [status(thm)], 132.87/17.46 [zip_derived_cl992, zip_derived_cl256, zip_derived_cl190])). 132.87/17.46 thf(zip_derived_cl1044, plain, 132.87/17.46 (( (mand @ (mbox @ (qmltpeq @ (op @ e0 @ e0) @ e3)) @ 132.87/17.46 (mand @ (mbox @ (qmltpeq @ (op @ e1 @ e1) @ e3)) @ 132.87/17.46 (mand @ (mbox @ (qmltpeq @ (op @ e2 @ e2) @ e3)) @ 132.87/17.46 (mbox @ (qmltpeq @ (op @ e3 @ e3) @ e3)))) @ 132.87/17.46 '#sk3') 132.87/17.46 | (mand @ (mbox @ (qmltpeq @ (op @ e0 @ e0) @ e2)) @ 132.87/17.46 (mand @ (mbox @ (qmltpeq @ (op @ e1 @ e1) @ e2)) @ 132.87/17.46 (mand @ (mbox @ (qmltpeq @ (op @ e2 @ e2) @ e2)) @ 132.87/17.46 (mbox @ (qmltpeq @ (op @ e3 @ e3) @ e2)))) @ 132.87/17.46 '#sk3') 132.87/17.46 | ('#form2' @ '#sk3' @ (op @ e2 @ e2) @ e0) 132.87/17.46 | ('#form2' @ '#sk3' @ (op @ e3 @ e3) @ e1))), 132.87/17.46 inference('lazy_cnf_or', [status(thm)], [zip_derived_cl1018])). 132.87/17.46 thf(zip_derived_cl1076, plain, 132.87/17.46 (( (((mand @ (mbox @ (qmltpeq @ (op @ e1 @ e1) @ e3)) @ 132.87/17.46 (mand @ (mbox @ (qmltpeq @ (op @ e2 @ e2) @ e3)) @ 132.87/17.46 (mbox @ (qmltpeq @ (op @ e3 @ e3) @ e3))) @ 132.87/17.46 '#sk3') & (mbox @ (qmltpeq @ (op @ e0 @ e0) @ e3) @ '#sk3'))) 132.87/17.46 | ('#form2' @ '#sk3' @ (op @ e3 @ e3) @ e1) 132.87/17.46 | ('#form2' @ '#sk3' @ (op @ e2 @ e2) @ e0) 132.87/17.46 | (mand @ (mbox @ (qmltpeq @ (op @ e0 @ e0) @ e2)) @ 132.87/17.46 (mand @ (mbox @ (qmltpeq @ (op @ e1 @ e1) @ e2)) @ 132.87/17.46 (mand @ (mbox @ (qmltpeq @ (op @ e2 @ e2) @ e2)) @ 132.87/17.46 (mbox @ (qmltpeq @ (op @ e3 @ e3) @ e2)))) @ 132.87/17.46 '#sk3'))), 132.87/17.46 inference('rw_clause', [status(thm)], [zip_derived_cl1044, '3'])). 132.87/17.46 thf(zip_derived_cl952, plain, 132.87/17.46 ((~ ('#form4') 132.87/17.46 | (((mand @ (mbox @ (qmltpeq @ (op @ e1 @ e1) @ e3)) @ 132.87/17.46 (mand @ (mbox @ (qmltpeq @ (op @ e2 @ e2) @ e3)) @ 132.87/17.46 (mbox @ (qmltpeq @ (op @ e3 @ e3) @ e3))) @ 132.87/17.46 '#sk3') & (mbox @ (qmltpeq @ (op @ e0 @ e0) @ e3) @ '#sk3'))))), 132.87/17.46 define([status(thm)])). 132.87/17.46 thf(zip_derived_cl1107, plain, 132.87/17.46 (( ('#form4') 132.87/17.46 | (mand @ (mbox @ (qmltpeq @ (op @ e0 @ e0) @ e2)) @ 132.87/17.46 (mand @ (mbox @ (qmltpeq @ (op @ e1 @ e1) @ e2)) @ 132.87/17.46 (mand @ (mbox @ (qmltpeq @ (op @ e2 @ e2) @ e2)) @ 132.87/17.46 (mbox @ (qmltpeq @ (op @ e3 @ e3) @ e2)))) @ 132.87/17.46 '#sk3') 132.87/17.46 | ('#form2' @ '#sk3' @ (op @ e2 @ e2) @ e0) 132.87/17.46 | ('#form2' @ '#sk3' @ (op @ e3 @ e3) @ e1))), 132.87/17.46 inference('renaming', [status(thm)], 132.87/17.46 [zip_derived_cl1076, zip_derived_cl952])). 132.87/17.46 thf(zip_derived_cl1143, plain, 132.87/17.46 (( (((mand @ (mbox @ (qmltpeq @ (op @ e1 @ e1) @ e2)) @ 132.87/17.46 (mand @ (mbox @ (qmltpeq @ (op @ e2 @ e2) @ e2)) @ 132.87/17.46 (mbox @ (qmltpeq @ (op @ e3 @ e3) @ e2))) @ 132.87/17.46 '#sk3') & (mbox @ (qmltpeq @ (op @ e0 @ e0) @ e2) @ '#sk3'))) 132.87/17.46 | ('#form2' @ '#sk3' @ (op @ e3 @ e3) @ e1) 132.87/17.46 | ('#form2' @ '#sk3' @ (op @ e2 @ e2) @ e0) 132.87/17.46 | ('#form4'))), 132.87/17.46 inference('rw_clause', [status(thm)], [zip_derived_cl1107, '3'])). 132.87/17.46 thf(zip_derived_cl1175, plain, 132.87/17.46 (( (mand @ (mbox @ (qmltpeq @ (op @ e1 @ e1) @ e2)) @ 132.87/17.46 (mand @ (mbox @ (qmltpeq @ (op @ e2 @ e2) @ e2)) @ 132.87/17.46 (mbox @ (qmltpeq @ (op @ e3 @ e3) @ e2))) @ 132.87/17.46 '#sk3') 132.87/17.46 | ('#form4') 132.87/17.46 | ('#form2' @ '#sk3' @ (op @ e2 @ e2) @ e0) 132.87/17.46 | ('#form2' @ '#sk3' @ (op @ e3 @ e3) @ e1))), 132.87/17.46 inference('lazy_cnf_and', [status(thm)], [zip_derived_cl1143])). 132.87/17.46 thf(zip_derived_cl1212, plain, 132.87/17.46 (( (((mand @ (mbox @ (qmltpeq @ (op @ e2 @ e2) @ e2)) @ 132.87/17.46 (mbox @ (qmltpeq @ (op @ e3 @ e3) @ e2)) @ '#sk3') & (mbox @ 132.87/17.46 (qmltpeq @ (op @ e1 @ e1) @ e2) @ '#sk3'))) 132.87/17.46 | ('#form2' @ '#sk3' @ (op @ e3 @ e3) @ e1) 132.87/17.46 | ('#form2' @ '#sk3' @ (op @ e2 @ e2) @ e0) 132.87/17.46 | ('#form4'))), 132.87/17.46 inference('rw_clause', [status(thm)], [zip_derived_cl1175, '3'])). 132.87/17.46 thf(zip_derived_cl1241, plain, 132.87/17.46 (( (mand @ (mbox @ (qmltpeq @ (op @ e2 @ e2) @ e2)) @ 132.87/17.46 (mbox @ (qmltpeq @ (op @ e3 @ e3) @ e2)) @ '#sk3') 132.87/17.46 | ('#form4') 132.87/17.46 | ('#form2' @ '#sk3' @ (op @ e2 @ e2) @ e0) 132.87/17.46 | ('#form2' @ '#sk3' @ (op @ e3 @ e3) @ e1))), 132.87/17.46 inference('lazy_cnf_and', [status(thm)], [zip_derived_cl1212])). 132.87/17.46 thf(zip_derived_cl1270, plain, 132.87/17.46 (( (((mbox @ (qmltpeq @ (op @ e3 @ e3) @ e2) @ '#sk3') & (mbox @ 132.87/17.46 (qmltpeq @ (op @ e2 @ e2) @ e2) @ '#sk3'))) 132.87/17.46 | ('#form2' @ '#sk3' @ (op @ e3 @ e3) @ e1) 132.87/17.46 | ('#form2' @ '#sk3' @ (op @ e2 @ e2) @ e0) 132.87/17.46 | ('#form4'))), 132.87/17.46 inference('rw_clause', [status(thm)], [zip_derived_cl1241, '3'])). 132.87/17.46 thf(zip_derived_cl1288, plain, 132.87/17.46 (( (mbox @ (qmltpeq @ (op @ e3 @ e3) @ e2) @ '#sk3') 132.87/17.46 | ('#form4') 132.87/17.46 | ('#form2' @ '#sk3' @ (op @ e2 @ e2) @ e0) 132.87/17.46 | ('#form2' @ '#sk3' @ (op @ e3 @ e3) @ e1))), 132.87/17.46 inference('lazy_cnf_and', [status(thm)], [zip_derived_cl1270])). 132.87/17.46 thf(zip_derived_cl1304, plain, 132.87/17.46 (( (((!!) @ (^[Y0 : mworld]: 132.87/17.46 (((mrel @ '#sk3' @ Y0) => (qmltpeq @ (op @ e3 @ e3) @ 132.87/17.46 e2 @ Y0)))))) 132.87/17.46 | ('#form2' @ '#sk3' @ (op @ e3 @ e3) @ e1) 132.87/17.46 | ('#form2' @ '#sk3' @ (op @ e2 @ e2) @ e0) 132.87/17.46 | ('#form4'))), 132.87/17.46 inference('rw_clause', [status(thm)], [zip_derived_cl1288, '4'])). 132.87/17.46 thf(zip_derived_cl256, plain, 132.87/17.46 (![X3 : mworld, X6 : $i, X7 : $i]: 132.87/17.46 (~ ('#form2' @ X3 @ X6 @ X7) 132.87/17.46 | (((!!) @ (^[Y0 : mworld]: 132.87/17.46 (((mrel @ X3 @ Y0) => (qmltpeq @ X6 @ X7 @ Y0)))))))), 132.87/17.46 define([status(thm)])). 132.87/17.46 thf(zip_derived_cl190, plain, 132.87/17.46 (![X3 : mworld, X6 : $i, X7 : $i]: 132.87/17.46 ( ('#form2' @ X3 @ X6 @ X7) 132.87/17.46 | ~ (((!!) @ (^[Y0 : mworld]: 132.87/17.46 (((mrel @ X3 @ Y0) => (qmltpeq @ X6 @ X7 @ Y0)))))))), 132.87/17.46 define([status(thm)])). 132.87/17.46 thf(zip_derived_cl1312, plain, 132.87/17.46 (( ('#form2' @ '#sk3' @ (op @ e3 @ e3) @ e2) 132.87/17.46 | ('#form4') 132.87/17.46 | ('#form2' @ '#sk3' @ (op @ e2 @ e2) @ e0) 132.87/17.46 | ('#form2' @ '#sk3' @ (op @ e3 @ e3) @ e1))), 132.87/17.46 inference('renaming', [status(thm)], 132.87/17.46 [zip_derived_cl1304, zip_derived_cl256, zip_derived_cl190])). 132.87/17.46 thf(zip_derived_cl931, plain, 132.87/17.46 (( (mbox @ (qmltpeq @ (op @ e2 @ e2) @ e1) @ '#sk3') 132.87/17.46 | (((mand @ (mbox @ (qmltpeq @ (op @ e0 @ e0) @ e3)) @ 132.87/17.46 (mand @ (mbox @ (qmltpeq @ (op @ e1 @ e1) @ e3)) @ 132.87/17.46 (mand @ (mbox @ (qmltpeq @ (op @ e2 @ e2) @ e3)) @ 132.87/17.46 (mbox @ (qmltpeq @ (op @ e3 @ e3) @ e3)))) @ 132.87/17.46 '#sk3') | (mand @ (mbox @ (qmltpeq @ (op @ e0 @ e0) @ e2)) @ 132.87/17.46 (mand @ (mbox @ (qmltpeq @ (op @ e1 @ e1) @ e2)) @ 132.87/17.46 (mand @ (mbox @ (qmltpeq @ (op @ e2 @ e2) @ e2)) @ 132.87/17.46 (mbox @ (qmltpeq @ (op @ e3 @ e3) @ e2)))) @ 132.87/17.46 '#sk3'))) 132.87/17.46 | ('#form2' @ '#sk3' @ (op @ e1 @ e1) @ e0))), 132.87/17.46 inference('lazy_cnf_and', [status(thm)], [zip_derived_cl913])). 132.87/17.46 thf(zip_derived_cl950, plain, 132.87/17.46 (( (((!!) @ (^[Y0 : mworld]: 132.87/17.46 (((mrel @ '#sk3' @ Y0) => (qmltpeq @ (op @ e2 @ e2) @ 132.87/17.46 e1 @ Y0)))))) 132.87/17.46 | ('#form2' @ '#sk3' @ (op @ e1 @ e1) @ e0) 132.87/17.46 | (((mand @ (mbox @ (qmltpeq @ (op @ e0 @ e0) @ e3)) @ 132.87/17.46 (mand @ (mbox @ (qmltpeq @ (op @ e1 @ e1) @ e3)) @ 132.87/17.46 (mand @ (mbox @ (qmltpeq @ (op @ e2 @ e2) @ e3)) @ 132.87/17.46 (mbox @ (qmltpeq @ (op @ e3 @ e3) @ e3)))) @ 132.87/17.46 '#sk3') | (mand @ (mbox @ (qmltpeq @ (op @ e0 @ e0) @ e2)) @ 132.87/17.46 (mand @ (mbox @ (qmltpeq @ (op @ e1 @ e1) @ e2)) @ 132.87/17.46 (mand @ (mbox @ (qmltpeq @ (op @ e2 @ e2) @ e2)) @ 132.87/17.46 (mbox @ (qmltpeq @ (op @ e3 @ e3) @ e2)))) @ 132.87/17.46 '#sk3'))))), 132.87/17.46 inference('rw_clause', [status(thm)], [zip_derived_cl931, '4'])). 132.87/17.46 thf(zip_derived_cl256, plain, 132.87/17.46 (![X3 : mworld, X6 : $i, X7 : $i]: 132.87/17.46 (~ ('#form2' @ X3 @ X6 @ X7) 132.87/17.46 | (((!!) @ (^[Y0 : mworld]: 132.87/17.46 (((mrel @ X3 @ Y0) => (qmltpeq @ X6 @ X7 @ Y0)))))))), 132.87/17.46 define([status(thm)])). 132.87/17.46 thf(zip_derived_cl190, plain, 132.87/17.46 (![X3 : mworld, X6 : $i, X7 : $i]: 132.87/17.46 ( ('#form2' @ X3 @ X6 @ X7) 132.87/17.46 | ~ (((!!) @ (^[Y0 : mworld]: 132.87/17.46 (((mrel @ X3 @ Y0) => (qmltpeq @ X6 @ X7 @ Y0)))))))), 132.87/17.46 define([status(thm)])). 132.87/17.46 thf(zip_derived_cl974, plain, 132.87/17.46 (( ('#form2' @ '#sk3' @ (op @ e2 @ e2) @ e1) 132.87/17.46 | (((mand @ (mbox @ (qmltpeq @ (op @ e0 @ e0) @ e3)) @ 132.87/17.46 (mand @ (mbox @ (qmltpeq @ (op @ e1 @ e1) @ e3)) @ 132.87/17.46 (mand @ (mbox @ (qmltpeq @ (op @ e2 @ e2) @ e3)) @ 132.87/17.46 (mbox @ (qmltpeq @ (op @ e3 @ e3) @ e3)))) @ 132.87/17.46 '#sk3') | (mand @ (mbox @ (qmltpeq @ (op @ e0 @ e0) @ e2)) @ 132.87/17.46 (mand @ (mbox @ (qmltpeq @ (op @ e1 @ e1) @ e2)) @ 132.87/17.46 (mand @ (mbox @ (qmltpeq @ (op @ e2 @ e2) @ e2)) @ 132.87/17.46 (mbox @ (qmltpeq @ (op @ e3 @ e3) @ e2)))) @ 132.87/17.46 '#sk3'))) 132.87/17.46 | ('#form2' @ '#sk3' @ (op @ e1 @ e1) @ e0))), 132.87/17.46 inference('renaming', [status(thm)], 132.87/17.46 [zip_derived_cl950, zip_derived_cl256, zip_derived_cl190])). 132.87/17.46 thf(zip_derived_cl997, plain, 132.87/17.46 (( (mand @ (mbox @ (qmltpeq @ (op @ e0 @ e0) @ e3)) @ 132.87/17.46 (mand @ (mbox @ (qmltpeq @ (op @ e1 @ e1) @ e3)) @ 132.87/17.46 (mand @ (mbox @ (qmltpeq @ (op @ e2 @ e2) @ e3)) @ 132.87/17.46 (mbox @ (qmltpeq @ (op @ e3 @ e3) @ e3)))) @ 132.87/17.46 '#sk3') 132.87/17.46 | (mand @ (mbox @ (qmltpeq @ (op @ e0 @ e0) @ e2)) @ 132.87/17.46 (mand @ (mbox @ (qmltpeq @ (op @ e1 @ e1) @ e2)) @ 132.87/17.46 (mand @ (mbox @ (qmltpeq @ (op @ e2 @ e2) @ e2)) @ 132.87/17.46 (mbox @ (qmltpeq @ (op @ e3 @ e3) @ e2)))) @ 132.87/17.46 '#sk3') 132.87/17.46 | ('#form2' @ '#sk3' @ (op @ e1 @ e1) @ e0) 132.87/17.46 | ('#form2' @ '#sk3' @ (op @ e2 @ e2) @ e1))), 132.87/17.46 inference('lazy_cnf_or', [status(thm)], [zip_derived_cl974])). 132.87/17.46 thf(zip_derived_cl1023, plain, 132.87/17.46 (( (((mand @ (mbox @ (qmltpeq @ (op @ e1 @ e1) @ e3)) @ 132.87/17.46 (mand @ (mbox @ (qmltpeq @ (op @ e2 @ e2) @ e3)) @ 132.87/17.46 (mbox @ (qmltpeq @ (op @ e3 @ e3) @ e3))) @ 132.87/17.46 '#sk3') & (mbox @ (qmltpeq @ (op @ e0 @ e0) @ e3) @ '#sk3'))) 132.87/17.46 | ('#form2' @ '#sk3' @ (op @ e2 @ e2) @ e1) 132.87/17.46 | ('#form2' @ '#sk3' @ (op @ e1 @ e1) @ e0) 132.87/17.46 | (mand @ (mbox @ (qmltpeq @ (op @ e0 @ e0) @ e2)) @ 132.87/17.46 (mand @ (mbox @ (qmltpeq @ (op @ e1 @ e1) @ e2)) @ 132.87/17.46 (mand @ (mbox @ (qmltpeq @ (op @ e2 @ e2) @ e2)) @ 132.87/17.46 (mbox @ (qmltpeq @ (op @ e3 @ e3) @ e2)))) @ 132.87/17.46 '#sk3'))), 132.87/17.46 inference('rw_clause', [status(thm)], [zip_derived_cl997, '3'])). 132.87/17.46 thf(zip_derived_cl952, plain, 132.87/17.46 ((~ ('#form4') 132.87/17.46 | (((mand @ (mbox @ (qmltpeq @ (op @ e1 @ e1) @ e3)) @ 132.87/17.46 (mand @ (mbox @ (qmltpeq @ (op @ e2 @ e2) @ e3)) @ 132.87/17.46 (mbox @ (qmltpeq @ (op @ e3 @ e3) @ e3))) @ 132.87/17.46 '#sk3') & (mbox @ (qmltpeq @ (op @ e0 @ e0) @ e3) @ '#sk3'))))), 132.87/17.46 define([status(thm)])). 132.87/17.46 thf(zip_derived_cl1050, plain, 132.87/17.46 (( ('#form4') 132.87/17.46 | (mand @ (mbox @ (qmltpeq @ (op @ e0 @ e0) @ e2)) @ 132.87/17.46 (mand @ (mbox @ (qmltpeq @ (op @ e1 @ e1) @ e2)) @ 132.87/17.46 (mand @ (mbox @ (qmltpeq @ (op @ e2 @ e2) @ e2)) @ 132.87/17.46 (mbox @ (qmltpeq @ (op @ e3 @ e3) @ e2)))) @ 132.87/17.46 '#sk3') 132.87/17.46 | ('#form2' @ '#sk3' @ (op @ e1 @ e1) @ e0) 132.87/17.46 | ('#form2' @ '#sk3' @ (op @ e2 @ e2) @ e1))), 132.87/17.46 inference('renaming', [status(thm)], 132.87/17.46 [zip_derived_cl1023, zip_derived_cl952])). 132.87/17.46 thf(zip_derived_cl1082, plain, 132.87/17.46 (( (((mand @ (mbox @ (qmltpeq @ (op @ e1 @ e1) @ e2)) @ 132.87/17.46 (mand @ (mbox @ (qmltpeq @ (op @ e2 @ e2) @ e2)) @ 132.87/17.46 (mbox @ (qmltpeq @ (op @ e3 @ e3) @ e2))) @ 132.87/17.46 '#sk3') & (mbox @ (qmltpeq @ (op @ e0 @ e0) @ e2) @ '#sk3'))) 132.87/17.46 | ('#form2' @ '#sk3' @ (op @ e2 @ e2) @ e1) 132.87/17.46 | ('#form2' @ '#sk3' @ (op @ e1 @ e1) @ e0) 132.87/17.46 | ('#form4'))), 132.87/17.46 inference('rw_clause', [status(thm)], [zip_derived_cl1050, '3'])). 132.87/17.46 thf(zip_derived_cl1116, plain, 132.87/17.46 (( (mand @ (mbox @ (qmltpeq @ (op @ e1 @ e1) @ e2)) @ 132.87/17.46 (mand @ (mbox @ (qmltpeq @ (op @ e2 @ e2) @ e2)) @ 132.87/17.46 (mbox @ (qmltpeq @ (op @ e3 @ e3) @ e2))) @ 132.87/17.46 '#sk3') 132.87/17.46 | ('#form4') 132.87/17.46 | ('#form2' @ '#sk3' @ (op @ e1 @ e1) @ e0) 132.87/17.46 | ('#form2' @ '#sk3' @ (op @ e2 @ e2) @ e1))), 132.87/17.46 inference('lazy_cnf_and', [status(thm)], [zip_derived_cl1082])). 132.87/17.46 thf(zip_derived_cl1151, plain, 132.87/17.46 (( (((mand @ (mbox @ (qmltpeq @ (op @ e2 @ e2) @ e2)) @ 132.87/17.46 (mbox @ (qmltpeq @ (op @ e3 @ e3) @ e2)) @ '#sk3') & (mbox @ 132.87/17.46 (qmltpeq @ (op @ e1 @ e1) @ e2) @ '#sk3'))) 132.87/17.46 | ('#form2' @ '#sk3' @ (op @ e2 @ e2) @ e1) 132.87/17.46 | ('#form2' @ '#sk3' @ (op @ e1 @ e1) @ e0) 132.87/17.46 | ('#form4'))), 132.87/17.46 inference('rw_clause', [status(thm)], [zip_derived_cl1116, '3'])). 132.87/17.46 thf(zip_derived_cl1188, plain, 132.87/17.46 (( (mand @ (mbox @ (qmltpeq @ (op @ e2 @ e2) @ e2)) @ 132.87/17.46 (mbox @ (qmltpeq @ (op @ e3 @ e3) @ e2)) @ '#sk3') 132.87/17.46 | ('#form4') 132.87/17.46 | ('#form2' @ '#sk3' @ (op @ e1 @ e1) @ e0) 132.87/17.46 | ('#form2' @ '#sk3' @ (op @ e2 @ e2) @ e1))), 132.87/17.46 inference('lazy_cnf_and', [status(thm)], [zip_derived_cl1151])). 132.87/17.46 thf(zip_derived_cl1222, plain, 132.87/17.46 (( (((mbox @ (qmltpeq @ (op @ e3 @ e3) @ e2) @ '#sk3') & (mbox @ 132.87/17.46 (qmltpeq @ (op @ e2 @ e2) @ e2) @ '#sk3'))) 132.87/17.46 | ('#form2' @ '#sk3' @ (op @ e2 @ e2) @ e1) 132.87/17.46 | ('#form2' @ '#sk3' @ (op @ e1 @ e1) @ e0) 132.87/17.46 | ('#form4'))), 132.87/17.46 inference('rw_clause', [status(thm)], [zip_derived_cl1188, '3'])). 132.87/17.46 thf(zip_derived_cl1255, plain, 132.87/17.46 (( (mbox @ (qmltpeq @ (op @ e3 @ e3) @ e2) @ '#sk3') 132.87/17.46 | ('#form4') 132.87/17.46 | ('#form2' @ '#sk3' @ (op @ e1 @ e1) @ e0) 132.87/17.46 | ('#form2' @ '#sk3' @ (op @ e2 @ e2) @ e1))), 132.87/17.46 inference('lazy_cnf_and', [status(thm)], [zip_derived_cl1222])). 132.87/17.46 thf(zip_derived_cl1278, plain, 132.87/17.46 (( (((!!) @ (^[Y0 : mworld]: 132.87/17.46 (((mrel @ '#sk3' @ Y0) => (qmltpeq @ (op @ e3 @ e3) @ 132.87/17.46 e2 @ Y0)))))) 132.87/17.46 | ('#form2' @ '#sk3' @ (op @ e2 @ e2) @ e1) 132.87/17.46 | ('#form2' @ '#sk3' @ (op @ e1 @ e1) @ e0) 132.87/17.46 | ('#form4'))), 132.87/17.46 inference('rw_clause', [status(thm)], [zip_derived_cl1255, '4'])). 132.87/17.46 thf(zip_derived_cl256, plain, 132.87/17.46 (![X3 : mworld, X6 : $i, X7 : $i]: 132.87/17.46 (~ ('#form2' @ X3 @ X6 @ X7) 132.87/17.46 | (((!!) @ (^[Y0 : mworld]: 132.87/17.46 (((mrel @ X3 @ Y0) => (qmltpeq @ X6 @ X7 @ Y0)))))))), 132.87/17.46 define([status(thm)])). 132.87/17.46 thf(zip_derived_cl190, plain, 132.87/17.46 (![X3 : mworld, X6 : $i, X7 : $i]: 132.87/17.46 ( ('#form2' @ X3 @ X6 @ X7) 132.87/17.46 | ~ (((!!) @ (^[Y0 : mworld]: 132.87/17.46 (((mrel @ X3 @ Y0) => (qmltpeq @ X6 @ X7 @ Y0)))))))), 132.87/17.46 define([status(thm)])). 132.87/17.46 thf(zip_derived_cl1298, plain, 132.87/17.46 (( ('#form2' @ '#sk3' @ (op @ e3 @ e3) @ e2) 132.87/17.46 | ('#form4') 132.87/17.46 | ('#form2' @ '#sk3' @ (op @ e1 @ e1) @ e0) 132.87/17.46 | ('#form2' @ '#sk3' @ (op @ e2 @ e2) @ e1))), 132.87/17.46 inference('renaming', [status(thm)], 132.87/17.46 [zip_derived_cl1278, zip_derived_cl256, zip_derived_cl190])). 132.87/17.46 thf(zip_derived_cl1189, plain, 132.87/17.46 (( (mbox @ (qmltpeq @ (op @ e1 @ e1) @ e2) @ '#sk3') 132.87/17.46 | ('#form4') 132.87/17.46 | ('#form2' @ '#sk3' @ (op @ e1 @ e1) @ e0) 132.87/17.46 | ('#form2' @ '#sk3' @ (op @ e2 @ e2) @ e1))), 132.87/17.46 inference('lazy_cnf_and', [status(thm)], [zip_derived_cl1151])). 132.87/17.46 thf(zip_derived_cl1223, plain, 132.87/17.46 (( (((!!) @ (^[Y0 : mworld]: 132.87/17.46 (((mrel @ '#sk3' @ Y0) => (qmltpeq @ (op @ e1 @ e1) @ 132.87/17.46 e2 @ Y0)))))) 132.87/17.46 | ('#form2' @ '#sk3' @ (op @ e2 @ e2) @ e1) 132.87/17.46 | ('#form2' @ '#sk3' @ (op @ e1 @ e1) @ e0) 132.87/17.46 | ('#form4'))), 132.87/17.46 inference('rw_clause', [status(thm)], [zip_derived_cl1189, '4'])). 132.87/17.46 thf(zip_derived_cl256, plain, 132.87/17.46 (![X3 : mworld, X6 : $i, X7 : $i]: 132.87/17.46 (~ ('#form2' @ X3 @ X6 @ X7) 132.87/17.46 | (((!!) @ (^[Y0 : mworld]: 132.87/17.46 (((mrel @ X3 @ Y0) => (qmltpeq @ X6 @ X7 @ Y0)))))))), 132.87/17.46 define([status(thm)])). 132.87/17.46 thf(zip_derived_cl190, plain, 132.87/17.46 (![X3 : mworld, X6 : $i, X7 : $i]: 132.87/17.46 ( ('#form2' @ X3 @ X6 @ X7) 132.87/17.46 | ~ (((!!) @ (^[Y0 : mworld]: 132.87/17.46 (((mrel @ X3 @ Y0) => (qmltpeq @ X6 @ X7 @ Y0)))))))), 132.87/17.46 define([status(thm)])). 132.87/17.46 thf(zip_derived_cl1257, plain, 132.87/17.46 (( ('#form2' @ '#sk3' @ (op @ e1 @ e1) @ e2) 132.87/17.46 | ('#form4') 132.87/17.46 | ('#form2' @ '#sk3' @ (op @ e1 @ e1) @ e0) 132.87/17.46 | ('#form2' @ '#sk3' @ (op @ e2 @ e2) @ e1))), 132.87/17.46 inference('renaming', [status(thm)], 132.87/17.46 [zip_derived_cl1223, zip_derived_cl256, zip_derived_cl190])). 132.87/17.46 thf(zip_derived_cl928, plain, 132.87/17.46 (( (mbox @ (qmltpeq @ (op @ e1 @ e1) @ e1) @ '#sk3') 132.87/17.46 | (((mand @ (mbox @ (qmltpeq @ (op @ e0 @ e0) @ e3)) @ 132.87/17.46 (mand @ (mbox @ (qmltpeq @ (op @ e1 @ e1) @ e3)) @ 132.87/17.46 (mand @ (mbox @ (qmltpeq @ (op @ e2 @ e2) @ e3)) @ 132.87/17.46 (mbox @ (qmltpeq @ (op @ e3 @ e3) @ e3)))) @ 132.87/17.46 '#sk3') | (mand @ (mbox @ (qmltpeq @ (op @ e0 @ e0) @ e2)) @ 132.87/17.46 (mand @ (mbox @ (qmltpeq @ (op @ e1 @ e1) @ e2)) @ 132.87/17.46 (mand @ (mbox @ (qmltpeq @ (op @ e2 @ e2) @ e2)) @ 132.87/17.46 (mbox @ (qmltpeq @ (op @ e3 @ e3) @ e2)))) @ 132.87/17.46 '#sk3'))) 132.87/17.46 | ('#form2' @ '#sk3' @ (op @ e2 @ e2) @ e0))), 132.87/17.46 inference('lazy_cnf_and', [status(thm)], [zip_derived_cl911])). 132.87/17.46 thf(zip_derived_cl947, plain, 132.87/17.46 (( (((!!) @ (^[Y0 : mworld]: 132.87/17.46 (((mrel @ '#sk3' @ Y0) => (qmltpeq @ (op @ e1 @ e1) @ 132.87/17.46 e1 @ Y0)))))) 132.87/17.46 | ('#form2' @ '#sk3' @ (op @ e2 @ e2) @ e0) 132.87/17.46 | (((mand @ (mbox @ (qmltpeq @ (op @ e0 @ e0) @ e3)) @ 132.87/17.46 (mand @ (mbox @ (qmltpeq @ (op @ e1 @ e1) @ e3)) @ 132.87/17.46 (mand @ (mbox @ (qmltpeq @ (op @ e2 @ e2) @ e3)) @ 132.87/17.46 (mbox @ (qmltpeq @ (op @ e3 @ e3) @ e3)))) @ 132.87/17.46 '#sk3') | (mand @ (mbox @ (qmltpeq @ (op @ e0 @ e0) @ e2)) @ 132.87/17.46 (mand @ (mbox @ (qmltpeq @ (op @ e1 @ e1) @ e2)) @ 132.87/17.46 (mand @ (mbox @ (qmltpeq @ (op @ e2 @ e2) @ e2)) @ 132.87/17.46 (mbox @ (qmltpeq @ (op @ e3 @ e3) @ e2)))) @ 132.87/17.46 '#sk3'))))), 132.87/17.46 inference('rw_clause', [status(thm)], [zip_derived_cl928, '4'])). 132.87/17.46 thf(zip_derived_cl256, plain, 132.87/17.46 (![X3 : mworld, X6 : $i, X7 : $i]: 132.87/17.46 (~ ('#form2' @ X3 @ X6 @ X7) 132.87/17.46 | (((!!) @ (^[Y0 : mworld]: 132.87/17.46 (((mrel @ X3 @ Y0) => (qmltpeq @ X6 @ X7 @ Y0)))))))), 132.87/17.46 define([status(thm)])). 132.87/17.46 thf(zip_derived_cl190, plain, 132.87/17.46 (![X3 : mworld, X6 : $i, X7 : $i]: 132.87/17.46 ( ('#form2' @ X3 @ X6 @ X7) 132.87/17.46 | ~ (((!!) @ (^[Y0 : mworld]: 132.87/17.46 (((mrel @ X3 @ Y0) => (qmltpeq @ X6 @ X7 @ Y0)))))))), 132.87/17.46 define([status(thm)])). 132.87/17.46 thf(zip_derived_cl971, plain, 132.87/17.46 (( ('#form2' @ '#sk3' @ (op @ e1 @ e1) @ e1) 132.87/17.46 | (((mand @ (mbox @ (qmltpeq @ (op @ e0 @ e0) @ e3)) @ 132.87/17.46 (mand @ (mbox @ (qmltpeq @ (op @ e1 @ e1) @ e3)) @ 132.87/17.46 (mand @ (mbox @ (qmltpeq @ (op @ e2 @ e2) @ e3)) @ 132.87/17.46 (mbox @ (qmltpeq @ (op @ e3 @ e3) @ e3)))) @ 132.87/17.46 '#sk3') | (mand @ (mbox @ (qmltpeq @ (op @ e0 @ e0) @ e2)) @ 132.87/17.46 (mand @ (mbox @ (qmltpeq @ (op @ e1 @ e1) @ e2)) @ 132.87/17.46 (mand @ (mbox @ (qmltpeq @ (op @ e2 @ e2) @ e2)) @ 132.87/17.46 (mbox @ (qmltpeq @ (op @ e3 @ e3) @ e2)))) @ 132.87/17.46 '#sk3'))) 132.87/17.46 | ('#form2' @ '#sk3' @ (op @ e2 @ e2) @ e0))), 132.87/17.46 inference('renaming', [status(thm)], 132.87/17.46 [zip_derived_cl947, zip_derived_cl256, zip_derived_cl190])). 132.87/17.46 thf(zip_derived_cl994, plain, 132.87/17.46 (( (mand @ (mbox @ (qmltpeq @ (op @ e0 @ e0) @ e3)) @ 132.87/17.46 (mand @ (mbox @ (qmltpeq @ (op @ e1 @ e1) @ e3)) @ 132.87/17.46 (mand @ (mbox @ (qmltpeq @ (op @ e2 @ e2) @ e3)) @ 132.87/17.46 (mbox @ (qmltpeq @ (op @ e3 @ e3) @ e3)))) @ 132.87/17.46 '#sk3') 132.87/17.46 | (mand @ (mbox @ (qmltpeq @ (op @ e0 @ e0) @ e2)) @ 132.87/17.46 (mand @ (mbox @ (qmltpeq @ (op @ e1 @ e1) @ e2)) @ 132.87/17.46 (mand @ (mbox @ (qmltpeq @ (op @ e2 @ e2) @ e2)) @ 132.87/17.46 (mbox @ (qmltpeq @ (op @ e3 @ e3) @ e2)))) @ 132.87/17.46 '#sk3') 132.87/17.46 | ('#form2' @ '#sk3' @ (op @ e2 @ e2) @ e0) 132.87/17.46 | ('#form2' @ '#sk3' @ (op @ e1 @ e1) @ e1))), 132.87/17.46 inference('lazy_cnf_or', [status(thm)], [zip_derived_cl971])). 132.87/17.46 thf(zip_derived_cl1020, plain, 132.87/17.46 (( (((mand @ (mbox @ (qmltpeq @ (op @ e1 @ e1) @ e3)) @ 132.87/17.46 (mand @ (mbox @ (qmltpeq @ (op @ e2 @ e2) @ e3)) @ 132.87/17.46 (mbox @ (qmltpeq @ (op @ e3 @ e3) @ e3))) @ 132.87/17.46 '#sk3') & (mbox @ (qmltpeq @ (op @ e0 @ e0) @ e3) @ '#sk3'))) 132.87/17.46 | ('#form2' @ '#sk3' @ (op @ e1 @ e1) @ e1) 132.87/17.46 | ('#form2' @ '#sk3' @ (op @ e2 @ e2) @ e0) 132.87/17.46 | (mand @ (mbox @ (qmltpeq @ (op @ e0 @ e0) @ e2)) @ 132.87/17.46 (mand @ (mbox @ (qmltpeq @ (op @ e1 @ e1) @ e2)) @ 132.87/17.46 (mand @ (mbox @ (qmltpeq @ (op @ e2 @ e2) @ e2)) @ 132.87/17.46 (mbox @ (qmltpeq @ (op @ e3 @ e3) @ e2)))) @ 132.87/17.46 '#sk3'))), 132.87/17.46 inference('rw_clause', [status(thm)], [zip_derived_cl994, '3'])). 132.87/17.46 thf(zip_derived_cl952, plain, 132.87/17.46 ((~ ('#form4') 132.87/17.46 | (((mand @ (mbox @ (qmltpeq @ (op @ e1 @ e1) @ e3)) @ 132.87/17.46 (mand @ (mbox @ (qmltpeq @ (op @ e2 @ e2) @ e3)) @ 132.87/17.46 (mbox @ (qmltpeq @ (op @ e3 @ e3) @ e3))) @ 132.87/17.46 '#sk3') & (mbox @ (qmltpeq @ (op @ e0 @ e0) @ e3) @ '#sk3'))))), 132.87/17.46 define([status(thm)])). 132.87/17.46 thf(zip_derived_cl1046, plain, 132.87/17.46 (( ('#form4') 132.87/17.46 | (mand @ (mbox @ (qmltpeq @ (op @ e0 @ e0) @ e2)) @ 132.87/17.46 (mand @ (mbox @ (qmltpeq @ (op @ e1 @ e1) @ e2)) @ 132.87/17.46 (mand @ (mbox @ (qmltpeq @ (op @ e2 @ e2) @ e2)) @ 132.87/17.46 (mbox @ (qmltpeq @ (op @ e3 @ e3) @ e2)))) @ 132.87/17.46 '#sk3') 132.87/17.46 | ('#form2' @ '#sk3' @ (op @ e2 @ e2) @ e0) 132.87/17.46 | ('#form2' @ '#sk3' @ (op @ e1 @ e1) @ e1))), 132.87/17.46 inference('renaming', [status(thm)], 132.87/17.46 [zip_derived_cl1020, zip_derived_cl952])). 132.87/17.46 thf(zip_derived_cl1078, plain, 132.87/17.46 (( (((mand @ (mbox @ (qmltpeq @ (op @ e1 @ e1) @ e2)) @ 132.87/17.46 (mand @ (mbox @ (qmltpeq @ (op @ e2 @ e2) @ e2)) @ 132.87/17.46 (mbox @ (qmltpeq @ (op @ e3 @ e3) @ e2))) @ 132.87/17.46 '#sk3') & (mbox @ (qmltpeq @ (op @ e0 @ e0) @ e2) @ '#sk3'))) 132.87/17.46 | ('#form2' @ '#sk3' @ (op @ e1 @ e1) @ e1) 132.87/17.46 | ('#form2' @ '#sk3' @ (op @ e2 @ e2) @ e0) 132.87/17.46 | ('#form4'))), 132.87/17.46 inference('rw_clause', [status(thm)], [zip_derived_cl1046, '3'])). 132.87/17.46 thf(zip_derived_cl1109, plain, 132.87/17.46 (( (mand @ (mbox @ (qmltpeq @ (op @ e1 @ e1) @ e2)) @ 132.87/17.46 (mand @ (mbox @ (qmltpeq @ (op @ e2 @ e2) @ e2)) @ 132.87/17.46 (mbox @ (qmltpeq @ (op @ e3 @ e3) @ e2))) @ 132.87/17.46 '#sk3') 132.87/17.46 | ('#form4') 132.87/17.46 | ('#form2' @ '#sk3' @ (op @ e2 @ e2) @ e0) 132.87/17.46 | ('#form2' @ '#sk3' @ (op @ e1 @ e1) @ e1))), 132.87/17.46 inference('lazy_cnf_and', [status(thm)], [zip_derived_cl1078])). 132.87/17.46 thf(zip_derived_cl1145, plain, 132.87/17.46 (( (((mand @ (mbox @ (qmltpeq @ (op @ e2 @ e2) @ e2)) @ 132.87/17.46 (mbox @ (qmltpeq @ (op @ e3 @ e3) @ e2)) @ '#sk3') & (mbox @ 132.87/17.46 (qmltpeq @ (op @ e1 @ e1) @ e2) @ '#sk3'))) 132.87/17.46 | ('#form2' @ '#sk3' @ (op @ e1 @ e1) @ e1) 132.87/17.46 | ('#form2' @ '#sk3' @ (op @ e2 @ e2) @ e0) 132.87/17.46 | ('#form4'))), 132.87/17.46 inference('rw_clause', [status(thm)], [zip_derived_cl1109, '3'])). 132.87/17.46 thf(zip_derived_cl1179, plain, 132.87/17.46 (( (mand @ (mbox @ (qmltpeq @ (op @ e2 @ e2) @ e2)) @ 132.87/17.46 (mbox @ (qmltpeq @ (op @ e3 @ e3) @ e2)) @ '#sk3') 132.87/17.46 | ('#form4') 132.87/17.46 | ('#form2' @ '#sk3' @ (op @ e2 @ e2) @ e0) 132.87/17.46 | ('#form2' @ '#sk3' @ (op @ e1 @ e1) @ e1))), 132.87/17.46 inference('lazy_cnf_and', [status(thm)], [zip_derived_cl1145])). 132.87/17.46 thf(zip_derived_cl1216, plain, 132.87/17.46 (( (((mbox @ (qmltpeq @ (op @ e3 @ e3) @ e2) @ '#sk3') & (mbox @ 132.87/17.46 (qmltpeq @ (op @ e2 @ e2) @ e2) @ '#sk3'))) 132.87/17.46 | ('#form2' @ '#sk3' @ (op @ e1 @ e1) @ e1) 132.87/17.46 | ('#form2' @ '#sk3' @ (op @ e2 @ e2) @ e0) 132.87/17.46 | ('#form4'))), 132.87/17.46 inference('rw_clause', [status(thm)], [zip_derived_cl1179, '3'])). 132.87/17.46 thf(zip_derived_cl1247, plain, 132.87/17.46 (( (mbox @ (qmltpeq @ (op @ e3 @ e3) @ e2) @ '#sk3') 132.87/17.46 | ('#form4') 132.87/17.46 | ('#form2' @ '#sk3' @ (op @ e2 @ e2) @ e0) 132.87/17.46 | ('#form2' @ '#sk3' @ (op @ e1 @ e1) @ e1))), 132.87/17.46 inference('lazy_cnf_and', [status(thm)], [zip_derived_cl1216])). 132.87/17.46 thf(zip_derived_cl1274, plain, 132.87/17.46 (( (((!!) @ (^[Y0 : mworld]: 132.87/17.46 (((mrel @ '#sk3' @ Y0) => (qmltpeq @ (op @ e3 @ e3) @ 132.87/17.46 e2 @ Y0)))))) 132.87/17.46 | ('#form2' @ '#sk3' @ (op @ e1 @ e1) @ e1) 132.87/17.46 | ('#form2' @ '#sk3' @ (op @ e2 @ e2) @ e0) 132.87/17.46 | ('#form4'))), 132.87/17.46 inference('rw_clause', [status(thm)], [zip_derived_cl1247, '4'])). 132.87/17.46 thf(zip_derived_cl256, plain, 132.87/17.46 (![X3 : mworld, X6 : $i, X7 : $i]: 132.87/17.46 (~ ('#form2' @ X3 @ X6 @ X7) 132.87/17.46 | (((!!) @ (^[Y0 : mworld]: 132.87/17.46 (((mrel @ X3 @ Y0) => (qmltpeq @ X6 @ X7 @ Y0)))))))), 132.87/17.46 define([status(thm)])). 132.87/17.46 thf(zip_derived_cl190, plain, 132.87/17.46 (![X3 : mworld, X6 : $i, X7 : $i]: 132.87/17.46 ( ('#form2' @ X3 @ X6 @ X7) 132.87/17.46 | ~ (((!!) @ (^[Y0 : mworld]: 132.87/17.46 (((mrel @ X3 @ Y0) => (qmltpeq @ X6 @ X7 @ Y0)))))))), 132.87/17.46 define([status(thm)])). 132.87/17.46 thf(zip_derived_cl1294, plain, 132.87/17.46 (( ('#form2' @ '#sk3' @ (op @ e3 @ e3) @ e2) 132.87/17.46 | ('#form4') 132.87/17.46 | ('#form2' @ '#sk3' @ (op @ e2 @ e2) @ e0) 132.87/17.46 | ('#form2' @ '#sk3' @ (op @ e1 @ e1) @ e1))), 132.87/17.46 inference('renaming', [status(thm)], 132.87/17.46 [zip_derived_cl1274, zip_derived_cl256, zip_derived_cl190])). 132.87/17.46 thf(zip_derived_cl1289, plain, 132.87/17.46 (( (mbox @ (qmltpeq @ (op @ e2 @ e2) @ e2) @ '#sk3') 132.87/17.46 | ('#form4') 132.87/17.46 | ('#form2' @ '#sk3' @ (op @ e2 @ e2) @ e0) 132.87/17.46 | ('#form2' @ '#sk3' @ (op @ e3 @ e3) @ e1))), 132.87/17.46 inference('lazy_cnf_and', [status(thm)], [zip_derived_cl1270])). 132.87/17.46 thf(zip_derived_cl1305, plain, 132.87/17.46 (( (((!!) @ (^[Y0 : mworld]: 132.87/17.46 (((mrel @ '#sk3' @ Y0) => (qmltpeq @ (op @ e2 @ e2) @ 132.87/17.46 e2 @ Y0)))))) 132.87/17.46 | ('#form2' @ '#sk3' @ (op @ e3 @ e3) @ e1) 132.87/17.46 | ('#form2' @ '#sk3' @ (op @ e2 @ e2) @ e0) 132.87/17.46 | ('#form4'))), 132.87/17.46 inference('rw_clause', [status(thm)], [zip_derived_cl1289, '4'])). 132.87/17.46 thf(zip_derived_cl256, plain, 132.87/17.46 (![X3 : mworld, X6 : $i, X7 : $i]: 132.87/17.46 (~ ('#form2' @ X3 @ X6 @ X7) 132.87/17.46 | (((!!) @ (^[Y0 : mworld]: 132.87/17.46 (((mrel @ X3 @ Y0) => (qmltpeq @ X6 @ X7 @ Y0)))))))), 132.87/17.46 define([status(thm)])). 132.87/17.46 thf(zip_derived_cl190, plain, 132.87/17.46 (![X3 : mworld, X6 : $i, X7 : $i]: 132.87/17.46 ( ('#form2' @ X3 @ X6 @ X7) 132.87/17.46 | ~ (((!!) @ (^[Y0 : mworld]: 132.87/17.46 (((mrel @ X3 @ Y0) => (qmltpeq @ X6 @ X7 @ Y0)))))))), 132.87/17.46 define([status(thm)])). 132.87/17.46 thf(zip_derived_cl1313, plain, 132.87/17.46 (( ('#form2' @ '#sk3' @ (op @ e2 @ e2) @ e2) 132.87/17.46 | ('#form4') 132.87/17.46 | ('#form2' @ '#sk3' @ (op @ e2 @ e2) @ e0) 132.87/17.46 | ('#form2' @ '#sk3' @ (op @ e3 @ e3) @ e1))), 132.87/17.46 inference('renaming', [status(thm)], 132.87/17.46 [zip_derived_cl1305, zip_derived_cl256, zip_derived_cl190])). 132.87/17.46 thf(zip_derived_cl1248, plain, 132.87/17.46 (( (mbox @ (qmltpeq @ (op @ e2 @ e2) @ e2) @ '#sk3') 132.87/17.46 | ('#form4') 132.87/17.46 | ('#form2' @ '#sk3' @ (op @ e2 @ e2) @ e0) 132.87/17.46 | ('#form2' @ '#sk3' @ (op @ e1 @ e1) @ e1))), 132.87/17.46 inference('lazy_cnf_and', [status(thm)], [zip_derived_cl1216])). 132.87/17.46 thf(zip_derived_cl1275, plain, 132.87/17.46 (( (((!!) @ (^[Y0 : mworld]: 132.87/17.46 (((mrel @ '#sk3' @ Y0) => (qmltpeq @ (op @ e2 @ e2) @ 132.87/17.46 e2 @ Y0)))))) 132.87/17.46 | ('#form2' @ '#sk3' @ (op @ e1 @ e1) @ e1) 132.87/17.46 | ('#form2' @ '#sk3' @ (op @ e2 @ e2) @ e0) 132.87/17.46 | ('#form4'))), 132.87/17.46 inference('rw_clause', [status(thm)], [zip_derived_cl1248, '4'])). 132.87/17.46 thf(zip_derived_cl256, plain, 132.87/17.46 (![X3 : mworld, X6 : $i, X7 : $i]: 132.87/17.46 (~ ('#form2' @ X3 @ X6 @ X7) 132.87/17.46 | (((!!) @ (^[Y0 : mworld]: 132.87/17.46 (((mrel @ X3 @ Y0) => (qmltpeq @ X6 @ X7 @ Y0)))))))), 132.87/17.46 define([status(thm)])). 132.87/17.46 thf(zip_derived_cl190, plain, 132.87/17.46 (![X3 : mworld, X6 : $i, X7 : $i]: 132.87/17.46 ( ('#form2' @ X3 @ X6 @ X7) 132.87/17.46 | ~ (((!!) @ (^[Y0 : mworld]: 132.87/17.46 (((mrel @ X3 @ Y0) => (qmltpeq @ X6 @ X7 @ Y0)))))))), 132.87/17.46 define([status(thm)])). 132.87/17.46 thf(zip_derived_cl1295, plain, 132.87/17.46 (( ('#form2' @ '#sk3' @ (op @ e2 @ e2) @ e2) 132.87/17.46 | ('#form4') 132.87/17.46 | ('#form2' @ '#sk3' @ (op @ e2 @ e2) @ e0) 132.87/17.46 | ('#form2' @ '#sk3' @ (op @ e1 @ e1) @ e1))), 132.87/17.46 inference('renaming', [status(thm)], 132.87/17.46 [zip_derived_cl1275, zip_derived_cl256, zip_derived_cl190])). 132.87/17.46 thf(zip_derived_cl1242, plain, 132.87/17.46 (( (mbox @ (qmltpeq @ (op @ e1 @ e1) @ e2) @ '#sk3') 132.87/17.46 | ('#form4') 132.87/17.46 | ('#form2' @ '#sk3' @ (op @ e2 @ e2) @ e0) 132.87/17.46 | ('#form2' @ '#sk3' @ (op @ e3 @ e3) @ e1))), 132.87/17.46 inference('lazy_cnf_and', [status(thm)], [zip_derived_cl1212])). 132.87/17.46 thf(zip_derived_cl1271, plain, 132.87/17.46 (( (((!!) @ (^[Y0 : mworld]: 132.87/17.46 (((mrel @ '#sk3' @ Y0) => (qmltpeq @ (op @ e1 @ e1) @ 132.87/17.46 e2 @ Y0)))))) 132.87/17.46 | ('#form2' @ '#sk3' @ (op @ e3 @ e3) @ e1) 132.87/17.46 | ('#form2' @ '#sk3' @ (op @ e2 @ e2) @ e0) 132.87/17.46 | ('#form4'))), 132.87/17.46 inference('rw_clause', [status(thm)], [zip_derived_cl1242, '4'])). 132.87/17.46 thf(zip_derived_cl256, plain, 132.87/17.46 (![X3 : mworld, X6 : $i, X7 : $i]: 132.87/17.46 (~ ('#form2' @ X3 @ X6 @ X7) 132.87/17.46 | (((!!) @ (^[Y0 : mworld]: 132.87/17.46 (((mrel @ X3 @ Y0) => (qmltpeq @ X6 @ X7 @ Y0)))))))), 132.87/17.46 define([status(thm)])). 132.87/17.46 thf(zip_derived_cl190, plain, 132.87/17.46 (![X3 : mworld, X6 : $i, X7 : $i]: 132.87/17.46 ( ('#form2' @ X3 @ X6 @ X7) 132.87/17.46 | ~ (((!!) @ (^[Y0 : mworld]: 132.87/17.46 (((mrel @ X3 @ Y0) => (qmltpeq @ X6 @ X7 @ Y0)))))))), 132.87/17.46 define([status(thm)])). 132.87/17.46 thf(zip_derived_cl1290, plain, 132.87/17.46 (( ('#form2' @ '#sk3' @ (op @ e1 @ e1) @ e2) 132.87/17.46 | ('#form4') 132.87/17.46 | ('#form2' @ '#sk3' @ (op @ e2 @ e2) @ e0) 132.87/17.46 | ('#form2' @ '#sk3' @ (op @ e3 @ e3) @ e1))), 132.87/17.46 inference('renaming', [status(thm)], 132.87/17.46 [zip_derived_cl1271, zip_derived_cl256, zip_derived_cl190])). 132.87/17.46 thf(zip_derived_cl1180, plain, 132.87/17.46 (( (mbox @ (qmltpeq @ (op @ e1 @ e1) @ e2) @ '#sk3') 132.87/17.46 | ('#form4') 132.87/17.46 | ('#form2' @ '#sk3' @ (op @ e2 @ e2) @ e0) 132.87/17.46 | ('#form2' @ '#sk3' @ (op @ e1 @ e1) @ e1))), 132.87/17.46 inference('lazy_cnf_and', [status(thm)], [zip_derived_cl1145])). 132.87/17.46 thf(zip_derived_cl1217, plain, 132.87/17.46 (( (((!!) @ (^[Y0 : mworld]: 132.87/17.46 (((mrel @ '#sk3' @ Y0) => (qmltpeq @ (op @ e1 @ e1) @ 132.87/17.46 e2 @ Y0)))))) 132.87/17.46 | ('#form2' @ '#sk3' @ (op @ e1 @ e1) @ e1) 132.87/17.46 | ('#form2' @ '#sk3' @ (op @ e2 @ e2) @ e0) 132.87/17.46 | ('#form4'))), 132.87/17.46 inference('rw_clause', [status(thm)], [zip_derived_cl1180, '4'])). 132.87/17.46 thf(zip_derived_cl256, plain, 132.87/17.46 (![X3 : mworld, X6 : $i, X7 : $i]: 132.87/17.46 (~ ('#form2' @ X3 @ X6 @ X7) 132.87/17.46 | (((!!) @ (^[Y0 : mworld]: 132.87/17.46 (((mrel @ X3 @ Y0) => (qmltpeq @ X6 @ X7 @ Y0)))))))), 132.87/17.46 define([status(thm)])). 132.87/17.46 thf(zip_derived_cl190, plain, 132.87/17.46 (![X3 : mworld, X6 : $i, X7 : $i]: 132.87/17.46 ( ('#form2' @ X3 @ X6 @ X7) 132.87/17.46 | ~ (((!!) @ (^[Y0 : mworld]: 132.87/17.46 (((mrel @ X3 @ Y0) => (qmltpeq @ X6 @ X7 @ Y0)))))))), 132.87/17.46 define([status(thm)])). 132.87/17.46 thf(zip_derived_cl1249, plain, 132.87/17.46 (( ('#form2' @ '#sk3' @ (op @ e1 @ e1) @ e2) 132.87/17.46 | ('#form4') 132.87/17.46 | ('#form2' @ '#sk3' @ (op @ e2 @ e2) @ e0) 132.87/17.46 | ('#form2' @ '#sk3' @ (op @ e1 @ e1) @ e1))), 132.87/17.46 inference('renaming', [status(thm)], 132.87/17.46 [zip_derived_cl1217, zip_derived_cl256, zip_derived_cl190])). 132.87/17.46 thf(zip_derived_cl970, plain, 132.87/17.46 (( (mbox @ (qmltpeq @ (op @ e2 @ e2) @ e1) @ '#sk3') 132.87/17.46 | (((mand @ (mbox @ (qmltpeq @ (op @ e0 @ e0) @ e3)) @ 132.87/17.46 (mand @ (mbox @ (qmltpeq @ (op @ e1 @ e1) @ e3)) @ 132.87/17.46 (mand @ (mbox @ (qmltpeq @ (op @ e2 @ e2) @ e3)) @ 132.87/17.46 (mbox @ (qmltpeq @ (op @ e3 @ e3) @ e3)))) @ 132.87/17.46 '#sk3') | (mand @ (mbox @ (qmltpeq @ (op @ e0 @ e0) @ e2)) @ 132.87/17.46 (mand @ (mbox @ (qmltpeq @ (op @ e1 @ e1) @ e2)) @ 132.87/17.46 (mand @ (mbox @ (qmltpeq @ (op @ e2 @ e2) @ e2)) @ 132.87/17.46 (mbox @ (qmltpeq @ (op @ e3 @ e3) @ e2)))) @ 132.87/17.46 '#sk3'))) 132.87/17.46 | ('#form2' @ '#sk3' @ (op @ e2 @ e2) @ e0))), 132.87/17.46 inference('lazy_cnf_and', [status(thm)], [zip_derived_cl946])). 132.87/17.46 thf(zip_derived_cl993, plain, 132.87/17.46 (( (((!!) @ (^[Y0 : mworld]: 132.87/17.46 (((mrel @ '#sk3' @ Y0) => (qmltpeq @ (op @ e2 @ e2) @ 132.87/17.46 e1 @ Y0)))))) 132.87/17.46 | ('#form2' @ '#sk3' @ (op @ e2 @ e2) @ e0) 132.87/17.46 | (((mand @ (mbox @ (qmltpeq @ (op @ e0 @ e0) @ e3)) @ 132.87/17.46 (mand @ (mbox @ (qmltpeq @ (op @ e1 @ e1) @ e3)) @ 132.87/17.46 (mand @ (mbox @ (qmltpeq @ (op @ e2 @ e2) @ e3)) @ 132.87/17.46 (mbox @ (qmltpeq @ (op @ e3 @ e3) @ e3)))) @ 132.87/17.46 '#sk3') | (mand @ (mbox @ (qmltpeq @ (op @ e0 @ e0) @ e2)) @ 132.87/17.46 (mand @ (mbox @ (qmltpeq @ (op @ e1 @ e1) @ e2)) @ 132.87/17.46 (mand @ (mbox @ (qmltpeq @ (op @ e2 @ e2) @ e2)) @ 132.87/17.46 (mbox @ (qmltpeq @ (op @ e3 @ e3) @ e2)))) @ 132.87/17.46 '#sk3'))))), 132.87/17.46 inference('rw_clause', [status(thm)], [zip_derived_cl970, '4'])). 132.87/17.46 thf(zip_derived_cl256, plain, 132.87/17.46 (![X3 : mworld, X6 : $i, X7 : $i]: 132.87/17.46 (~ ('#form2' @ X3 @ X6 @ X7) 132.87/17.46 | (((!!) @ (^[Y0 : mworld]: 132.87/17.46 (((mrel @ X3 @ Y0) => (qmltpeq @ X6 @ X7 @ Y0)))))))), 132.87/17.46 define([status(thm)])). 132.87/17.46 thf(zip_derived_cl190, plain, 132.87/17.46 (![X3 : mworld, X6 : $i, X7 : $i]: 132.87/17.46 ( ('#form2' @ X3 @ X6 @ X7) 132.87/17.46 | ~ (((!!) @ (^[Y0 : mworld]: 132.87/17.46 (((mrel @ X3 @ Y0) => (qmltpeq @ X6 @ X7 @ Y0)))))))), 132.87/17.46 define([status(thm)])). 132.87/17.46 thf(zip_derived_cl1019, plain, 132.87/17.46 (( ('#form2' @ '#sk3' @ (op @ e2 @ e2) @ e1) 132.87/17.46 | (((mand @ (mbox @ (qmltpeq @ (op @ e0 @ e0) @ e3)) @ 132.87/17.46 (mand @ (mbox @ (qmltpeq @ (op @ e1 @ e1) @ e3)) @ 132.87/17.46 (mand @ (mbox @ (qmltpeq @ (op @ e2 @ e2) @ e3)) @ 132.87/17.46 (mbox @ (qmltpeq @ (op @ e3 @ e3) @ e3)))) @ 132.87/17.46 '#sk3') | (mand @ (mbox @ (qmltpeq @ (op @ e0 @ e0) @ e2)) @ 132.87/17.46 (mand @ (mbox @ (qmltpeq @ (op @ e1 @ e1) @ e2)) @ 132.87/17.46 (mand @ (mbox @ (qmltpeq @ (op @ e2 @ e2) @ e2)) @ 132.87/17.46 (mbox @ (qmltpeq @ (op @ e3 @ e3) @ e2)))) @ 132.87/17.46 '#sk3'))) 132.87/17.46 | ('#form2' @ '#sk3' @ (op @ e2 @ e2) @ e0))), 132.87/17.46 inference('renaming', [status(thm)], 132.87/17.46 [zip_derived_cl993, zip_derived_cl256, zip_derived_cl190])). 132.87/17.46 thf(zip_derived_cl1045, plain, 132.87/17.46 (( (mand @ (mbox @ (qmltpeq @ (op @ e0 @ e0) @ e3)) @ 132.87/17.46 (mand @ (mbox @ (qmltpeq @ (op @ e1 @ e1) @ e3)) @ 132.87/17.46 (mand @ (mbox @ (qmltpeq @ (op @ e2 @ e2) @ e3)) @ 132.87/17.46 (mbox @ (qmltpeq @ (op @ e3 @ e3) @ e3)))) @ 132.87/17.46 '#sk3') 132.87/17.46 | (mand @ (mbox @ (qmltpeq @ (op @ e0 @ e0) @ e2)) @ 132.87/17.46 (mand @ (mbox @ (qmltpeq @ (op @ e1 @ e1) @ e2)) @ 132.87/17.46 (mand @ (mbox @ (qmltpeq @ (op @ e2 @ e2) @ e2)) @ 132.87/17.46 (mbox @ (qmltpeq @ (op @ e3 @ e3) @ e2)))) @ 132.87/17.46 '#sk3') 132.87/17.46 | ('#form2' @ '#sk3' @ (op @ e2 @ e2) @ e0) 132.87/17.46 | ('#form2' @ '#sk3' @ (op @ e2 @ e2) @ e1))), 132.87/17.46 inference('lazy_cnf_or', [status(thm)], [zip_derived_cl1019])). 132.87/17.46 thf(zip_derived_cl1077, plain, 132.87/17.46 (( (((mand @ (mbox @ (qmltpeq @ (op @ e1 @ e1) @ e3)) @ 132.87/17.46 (mand @ (mbox @ (qmltpeq @ (op @ e2 @ e2) @ e3)) @ 132.87/17.46 (mbox @ (qmltpeq @ (op @ e3 @ e3) @ e3))) @ 132.87/17.46 '#sk3') & (mbox @ (qmltpeq @ (op @ e0 @ e0) @ e3) @ '#sk3'))) 132.87/17.46 | ('#form2' @ '#sk3' @ (op @ e2 @ e2) @ e1) 132.87/17.46 | ('#form2' @ '#sk3' @ (op @ e2 @ e2) @ e0) 132.87/17.46 | (mand @ (mbox @ (qmltpeq @ (op @ e0 @ e0) @ e2)) @ 132.87/17.46 (mand @ (mbox @ (qmltpeq @ (op @ e1 @ e1) @ e2)) @ 132.87/17.46 (mand @ (mbox @ (qmltpeq @ (op @ e2 @ e2) @ e2)) @ 132.87/17.46 (mbox @ (qmltpeq @ (op @ e3 @ e3) @ e2)))) @ 132.87/17.46 '#sk3'))), 132.87/17.46 inference('rw_clause', [status(thm)], [zip_derived_cl1045, '3'])). 132.87/17.46 thf(zip_derived_cl952, plain, 132.87/17.46 ((~ ('#form4') 132.87/17.46 | (((mand @ (mbox @ (qmltpeq @ (op @ e1 @ e1) @ e3)) @ 132.87/17.46 (mand @ (mbox @ (qmltpeq @ (op @ e2 @ e2) @ e3)) @ 132.87/17.46 (mbox @ (qmltpeq @ (op @ e3 @ e3) @ e3))) @ 132.87/17.46 '#sk3') & (mbox @ (qmltpeq @ (op @ e0 @ e0) @ e3) @ '#sk3'))))), 132.87/17.46 define([status(thm)])). 132.87/17.46 thf(zip_derived_cl1108, plain, 132.87/17.46 (( ('#form4') 132.87/17.46 | (mand @ (mbox @ (qmltpeq @ (op @ e0 @ e0) @ e2)) @ 132.87/17.46 (mand @ (mbox @ (qmltpeq @ (op @ e1 @ e1) @ e2)) @ 132.87/17.46 (mand @ (mbox @ (qmltpeq @ (op @ e2 @ e2) @ e2)) @ 132.87/17.46 (mbox @ (qmltpeq @ (op @ e3 @ e3) @ e2)))) @ 132.87/17.46 '#sk3') 132.87/17.46 | ('#form2' @ '#sk3' @ (op @ e2 @ e2) @ e0) 132.87/17.46 | ('#form2' @ '#sk3' @ (op @ e2 @ e2) @ e1))), 132.87/17.46 inference('renaming', [status(thm)], 132.87/17.46 [zip_derived_cl1077, zip_derived_cl952])). 132.87/17.46 thf(zip_derived_cl1144, plain, 132.87/17.46 (( (((mand @ (mbox @ (qmltpeq @ (op @ e1 @ e1) @ e2)) @ 132.87/17.46 (mand @ (mbox @ (qmltpeq @ (op @ e2 @ e2) @ e2)) @ 132.87/17.46 (mbox @ (qmltpeq @ (op @ e3 @ e3) @ e2))) @ 132.87/17.46 '#sk3') & (mbox @ (qmltpeq @ (op @ e0 @ e0) @ e2) @ '#sk3'))) 132.87/17.46 | ('#form2' @ '#sk3' @ (op @ e2 @ e2) @ e1) 132.87/17.46 | ('#form2' @ '#sk3' @ (op @ e2 @ e2) @ e0) 132.87/17.46 | ('#form4'))), 132.87/17.46 inference('rw_clause', [status(thm)], [zip_derived_cl1108, '3'])). 132.87/17.46 thf(zip_derived_cl1177, plain, 132.87/17.46 (( (mand @ (mbox @ (qmltpeq @ (op @ e1 @ e1) @ e2)) @ 132.87/17.46 (mand @ (mbox @ (qmltpeq @ (op @ e2 @ e2) @ e2)) @ 132.87/17.46 (mbox @ (qmltpeq @ (op @ e3 @ e3) @ e2))) @ 132.87/17.46 '#sk3') 132.87/17.46 | ('#form4') 132.87/17.46 | ('#form2' @ '#sk3' @ (op @ e2 @ e2) @ e0) 132.87/17.46 | ('#form2' @ '#sk3' @ (op @ e2 @ e2) @ e1))), 132.87/17.46 inference('lazy_cnf_and', [status(thm)], [zip_derived_cl1144])). 132.87/17.46 thf(zip_derived_cl1214, plain, 132.87/17.46 (( (((mand @ (mbox @ (qmltpeq @ (op @ e2 @ e2) @ e2)) @ 132.87/17.46 (mbox @ (qmltpeq @ (op @ e3 @ e3) @ e2)) @ '#sk3') & (mbox @ 132.87/17.46 (qmltpeq @ (op @ e1 @ e1) @ e2) @ '#sk3'))) 132.87/17.46 | ('#form2' @ '#sk3' @ (op @ e2 @ e2) @ e1) 132.87/17.46 | ('#form2' @ '#sk3' @ (op @ e2 @ e2) @ e0) 132.87/17.46 | ('#form4'))), 132.87/17.46 inference('rw_clause', [status(thm)], [zip_derived_cl1177, '3'])). 132.87/17.46 thf(zip_derived_cl1244, plain, 132.87/17.46 (( (mand @ (mbox @ (qmltpeq @ (op @ e2 @ e2) @ e2)) @ 132.87/17.46 (mbox @ (qmltpeq @ (op @ e3 @ e3) @ e2)) @ '#sk3') 132.87/17.46 | ('#form4') 132.87/17.46 | ('#form2' @ '#sk3' @ (op @ e2 @ e2) @ e0) 132.87/17.46 | ('#form2' @ '#sk3' @ (op @ e2 @ e2) @ e1))), 132.87/17.46 inference('lazy_cnf_and', [status(thm)], [zip_derived_cl1214])). 132.87/17.46 thf(zip_derived_cl1272, plain, 132.87/17.46 (( (((mbox @ (qmltpeq @ (op @ e3 @ e3) @ e2) @ '#sk3') & (mbox @ 132.87/17.46 (qmltpeq @ (op @ e2 @ e2) @ e2) @ '#sk3'))) 132.87/17.46 | ('#form2' @ '#sk3' @ (op @ e2 @ e2) @ e1) 132.87/17.46 | ('#form2' @ '#sk3' @ (op @ e2 @ e2) @ e0) 132.87/17.46 | ('#form4'))), 132.87/17.46 inference('rw_clause', [status(thm)], [zip_derived_cl1244, '3'])). 132.87/17.46 thf(zip_derived_cl1291, plain, 132.87/17.46 (( (mbox @ (qmltpeq @ (op @ e3 @ e3) @ e2) @ '#sk3') 132.87/17.46 | ('#form4') 132.87/17.46 | ('#form2' @ '#sk3' @ (op @ e2 @ e2) @ e0) 132.87/17.46 | ('#form2' @ '#sk3' @ (op @ e2 @ e2) @ e1))), 132.87/17.46 inference('lazy_cnf_and', [status(thm)], [zip_derived_cl1272])). 132.87/17.46 thf(zip_derived_cl1306, plain, 132.87/17.46 (( (((!!) @ (^[Y0 : mworld]: 132.87/17.46 (((mrel @ '#sk3' @ Y0) => (qmltpeq @ (op @ e3 @ e3) @ 132.87/17.46 e2 @ Y0)))))) 132.87/17.46 | ('#form2' @ '#sk3' @ (op @ e2 @ e2) @ e1) 132.87/17.46 | ('#form2' @ '#sk3' @ (op @ e2 @ e2) @ e0) 132.87/17.46 | ('#form4'))), 132.87/17.46 inference('rw_clause', [status(thm)], [zip_derived_cl1291, '4'])). 132.87/17.46 thf(zip_derived_cl256, plain, 132.87/17.46 (![X3 : mworld, X6 : $i, X7 : $i]: 132.87/17.46 (~ ('#form2' @ X3 @ X6 @ X7) 132.87/17.46 | (((!!) @ (^[Y0 : mworld]: 132.87/17.46 (((mrel @ X3 @ Y0) => (qmltpeq @ X6 @ X7 @ Y0)))))))), 132.87/17.46 define([status(thm)])). 132.87/17.46 thf(zip_derived_cl190, plain, 132.87/17.46 (![X3 : mworld, X6 : $i, X7 : $i]: 132.87/17.46 ( ('#form2' @ X3 @ X6 @ X7) 132.87/17.46 | ~ (((!!) @ (^[Y0 : mworld]: 132.87/17.46 (((mrel @ X3 @ Y0) => (qmltpeq @ X6 @ X7 @ Y0)))))))), 132.87/17.46 define([status(thm)])). 132.87/17.46 thf(zip_derived_cl1314, plain, 132.87/17.46 (( ('#form2' @ '#sk3' @ (op @ e3 @ e3) @ e2) 132.87/17.46 | ('#form4') 132.87/17.46 | ('#form2' @ '#sk3' @ (op @ e2 @ e2) @ e0) 132.87/17.46 | ('#form2' @ '#sk3' @ (op @ e2 @ e2) @ e1))), 132.87/17.46 inference('renaming', [status(thm)], 132.87/17.46 [zip_derived_cl1306, zip_derived_cl256, zip_derived_cl190])). 132.87/17.46 thf(zip_derived_cl1245, plain, 132.87/17.46 (( (mbox @ (qmltpeq @ (op @ e1 @ e1) @ e2) @ '#sk3') 132.87/17.46 | ('#form4') 132.87/17.46 | ('#form2' @ '#sk3' @ (op @ e2 @ e2) @ e0) 132.87/17.46 | ('#form2' @ '#sk3' @ (op @ e2 @ e2) @ e1))), 132.87/17.46 inference('lazy_cnf_and', [status(thm)], [zip_derived_cl1214])). 132.87/17.46 thf(zip_derived_cl1273, plain, 132.87/17.46 (( (((!!) @ (^[Y0 : mworld]: 132.87/17.46 (((mrel @ '#sk3' @ Y0) => (qmltpeq @ (op @ e1 @ e1) @ 132.87/17.46 e2 @ Y0)))))) 132.87/17.46 | ('#form2' @ '#sk3' @ (op @ e2 @ e2) @ e1) 132.87/17.46 | ('#form2' @ '#sk3' @ (op @ e2 @ e2) @ e0) 132.87/17.46 | ('#form4'))), 132.87/17.46 inference('rw_clause', [status(thm)], [zip_derived_cl1245, '4'])). 132.87/17.46 thf(zip_derived_cl256, plain, 132.87/17.46 (![X3 : mworld, X6 : $i, X7 : $i]: 132.87/17.46 (~ ('#form2' @ X3 @ X6 @ X7) 132.87/17.46 | (((!!) @ (^[Y0 : mworld]: 132.87/17.46 (((mrel @ X3 @ Y0) => (qmltpeq @ X6 @ X7 @ Y0)))))))), 132.87/17.46 define([status(thm)])). 132.87/17.46 thf(zip_derived_cl190, plain, 132.87/17.46 (![X3 : mworld, X6 : $i, X7 : $i]: 132.87/17.46 ( ('#form2' @ X3 @ X6 @ X7) 132.87/17.46 | ~ (((!!) @ (^[Y0 : mworld]: 132.87/17.46 (((mrel @ X3 @ Y0) => (qmltpeq @ X6 @ X7 @ Y0)))))))), 132.87/17.46 define([status(thm)])). 132.87/17.46 thf(zip_derived_cl1293, plain, 132.87/17.46 (( ('#form2' @ '#sk3' @ (op @ e1 @ e1) @ e2) 132.87/17.46 | ('#form4') 132.87/17.46 | ('#form2' @ '#sk3' @ (op @ e2 @ e2) @ e0) 132.87/17.46 | ('#form2' @ '#sk3' @ (op @ e2 @ e2) @ e1))), 132.87/17.46 inference('renaming', [status(thm)], 132.87/17.46 [zip_derived_cl1273, zip_derived_cl256, zip_derived_cl190])). 132.87/17.46 thf(zip_derived_cl1292, plain, 132.87/17.46 (( (mbox @ (qmltpeq @ (op @ e2 @ e2) @ e2) @ '#sk3') 132.87/17.46 | ('#form4') 132.87/17.46 | ('#form2' @ '#sk3' @ (op @ e2 @ e2) @ e0) 132.87/17.46 | ('#form2' @ '#sk3' @ (op @ e2 @ e2) @ e1))), 132.87/17.46 inference('lazy_cnf_and', [status(thm)], [zip_derived_cl1272])). 132.87/17.46 thf(zip_derived_cl1307, plain, 132.87/17.46 (( (((!!) @ (^[Y0 : mworld]: 132.87/17.46 (((mrel @ '#sk3' @ Y0) => (qmltpeq @ (op @ e2 @ e2) @ 132.87/17.47 e2 @ Y0)))))) 132.87/17.47 | ('#form2' @ '#sk3' @ (op @ e2 @ e2) @ e1) 132.87/17.47 | ('#form2' @ '#sk3' @ (op @ e2 @ e2) @ e0) 132.87/17.47 | ('#form4'))), 132.87/17.47 inference('rw_clause', [status(thm)], [zip_derived_cl1292, '4'])). 132.87/17.47 thf(zip_derived_cl256, plain, 132.87/17.47 (![X3 : mworld, X6 : $i, X7 : $i]: 132.87/17.47 (~ ('#form2' @ X3 @ X6 @ X7) 132.87/17.47 | (((!!) @ (^[Y0 : mworld]: 132.87/17.47 (((mrel @ X3 @ Y0) => (qmltpeq @ X6 @ X7 @ Y0)))))))), 132.87/17.47 define([status(thm)])). 132.87/17.47 thf(zip_derived_cl190, plain, 132.87/17.47 (![X3 : mworld, X6 : $i, X7 : $i]: 132.87/17.47 ( ('#form2' @ X3 @ X6 @ X7) 132.87/17.47 | ~ (((!!) @ (^[Y0 : mworld]: 132.87/17.47 (((mrel @ X3 @ Y0) => (qmltpeq @ X6 @ X7 @ Y0)))))))), 132.87/17.47 define([status(thm)])). 132.87/17.47 thf(zip_derived_cl1315, plain, 132.87/17.47 (( ('#form2' @ '#sk3' @ (op @ e2 @ e2) @ e2) 132.87/17.47 | ('#form4') 132.87/17.47 | ('#form2' @ '#sk3' @ (op @ e2 @ e2) @ e0) 132.87/17.47 | ('#form2' @ '#sk3' @ (op @ e2 @ e2) @ e1))), 132.87/17.47 inference('renaming', [status(thm)], 132.87/17.47 [zip_derived_cl1307, zip_derived_cl256, zip_derived_cl190])). 132.87/17.47 thf(zip_derived_cl1284, plain, 132.87/17.47 (( (mbox @ (qmltpeq @ (op @ e2 @ e2) @ e2) @ '#sk3') 132.87/17.47 | ('#form4') 132.87/17.47 | ('#form2' @ '#sk3' @ (op @ e3 @ e3) @ e0) 132.87/17.47 | ('#form2' @ '#sk3' @ (op @ e2 @ e2) @ e1))), 132.87/17.47 inference('lazy_cnf_and', [status(thm)], [zip_derived_cl1266])). 132.87/17.47 thf(zip_derived_cl1303, plain, 132.87/17.47 (( (((!!) @ (^[Y0 : mworld]: 132.87/17.47 (((mrel @ '#sk3' @ Y0) => (qmltpeq @ (op @ e2 @ e2) @ 132.87/17.47 e2 @ Y0)))))) 132.87/17.47 | ('#form2' @ '#sk3' @ (op @ e2 @ e2) @ e1) 132.87/17.47 | ('#form2' @ '#sk3' @ (op @ e3 @ e3) @ e0) 132.87/17.47 | ('#form4'))), 132.87/17.47 inference('rw_clause', [status(thm)], [zip_derived_cl1284, '4'])). 132.87/17.47 thf(zip_derived_cl256, plain, 132.87/17.47 (![X3 : mworld, X6 : $i, X7 : $i]: 132.87/17.47 (~ ('#form2' @ X3 @ X6 @ X7) 132.87/17.47 | (((!!) @ (^[Y0 : mworld]: 132.87/17.47 (((mrel @ X3 @ Y0) => (qmltpeq @ X6 @ X7 @ Y0)))))))), 132.87/17.47 define([status(thm)])). 132.87/17.47 thf(zip_derived_cl190, plain, 132.87/17.47 (![X3 : mworld, X6 : $i, X7 : $i]: 132.87/17.47 ( ('#form2' @ X3 @ X6 @ X7) 132.87/17.47 | ~ (((!!) @ (^[Y0 : mworld]: 132.87/17.47 (((mrel @ X3 @ Y0) => (qmltpeq @ X6 @ X7 @ Y0)))))))), 132.87/17.47 define([status(thm)])). 132.87/17.47 thf(zip_derived_cl1311, plain, 132.87/17.47 (( ('#form2' @ '#sk3' @ (op @ e2 @ e2) @ e2) 132.87/17.47 | ('#form4') 132.87/17.47 | ('#form2' @ '#sk3' @ (op @ e3 @ e3) @ e0) 132.87/17.47 | ('#form2' @ '#sk3' @ (op @ e2 @ e2) @ e1))), 132.87/17.47 inference('renaming', [status(thm)], 132.87/17.47 [zip_derived_cl1303, zip_derived_cl256, zip_derived_cl190])). 132.87/17.47 thf(zip_derived_cl1256, plain, 132.87/17.47 (( (mbox @ (qmltpeq @ (op @ e2 @ e2) @ e2) @ '#sk3') 132.87/17.47 | ('#form4') 132.87/17.47 | ('#form2' @ '#sk3' @ (op @ e1 @ e1) @ e0) 132.87/17.47 | ('#form2' @ '#sk3' @ (op @ e2 @ e2) @ e1))), 132.87/17.47 inference('lazy_cnf_and', [status(thm)], [zip_derived_cl1222])). 132.87/17.47 thf(zip_derived_cl1279, plain, 132.87/17.47 (( (((!!) @ (^[Y0 : mworld]: 132.87/17.47 (((mrel @ '#sk3' @ Y0) => (qmltpeq @ (op @ e2 @ e2) @ 132.87/17.47 e2 @ Y0)))))) 132.87/17.47 | ('#form2' @ '#sk3' @ (op @ e2 @ e2) @ e1) 132.87/17.47 | ('#form2' @ '#sk3' @ (op @ e1 @ e1) @ e0) 132.87/17.47 | ('#form4'))), 132.87/17.47 inference('rw_clause', [status(thm)], [zip_derived_cl1256, '4'])). 132.87/17.47 thf(zip_derived_cl256, plain, 132.87/17.47 (![X3 : mworld, X6 : $i, X7 : $i]: 132.87/17.47 (~ ('#form2' @ X3 @ X6 @ X7) 132.87/17.47 | (((!!) @ (^[Y0 : mworld]: 132.87/17.47 (((mrel @ X3 @ Y0) => (qmltpeq @ X6 @ X7 @ Y0)))))))), 132.87/17.47 define([status(thm)])). 132.87/17.47 thf(zip_derived_cl190, plain, 132.87/17.47 (![X3 : mworld, X6 : $i, X7 : $i]: 132.87/17.47 ( ('#form2' @ X3 @ X6 @ X7) 132.87/17.47 | ~ (((!!) @ (^[Y0 : mworld]: 132.87/17.47 (((mrel @ X3 @ Y0) => (qmltpeq @ X6 @ X7 @ Y0)))))))), 132.87/17.47 define([status(thm)])). 132.87/17.47 thf(zip_derived_cl1299, plain, 132.87/17.47 (( ('#form2' @ '#sk3' @ (op @ e2 @ e2) @ e2) 132.87/17.47 | ('#form4') 132.87/17.47 | ('#form2' @ '#sk3' @ (op @ e1 @ e1) @ e0) 132.87/17.47 | ('#form2' @ '#sk3' @ (op @ e2 @ e2) @ e1))), 132.87/17.47 inference('renaming', [status(thm)], 132.87/17.47 [zip_derived_cl1279, zip_derived_cl256, zip_derived_cl190])). 132.87/17.47 thf(zip_derived_cl895, plain, 132.87/17.47 (( (mbox @ (qmltpeq @ (op @ e0 @ e0) @ e1) @ '#sk3') 132.87/17.47 | (((mand @ (mbox @ (qmltpeq @ (op @ e0 @ e0) @ e3)) @ 132.87/17.47 (mand @ (mbox @ (qmltpeq @ (op @ e1 @ e1) @ e3)) @ 132.87/17.47 (mand @ (mbox @ (qmltpeq @ (op @ e2 @ e2) @ e3)) @ 132.87/17.47 (mbox @ (qmltpeq @ (op @ e3 @ e3) @ e3)))) @ 132.87/17.47 '#sk3') | (mand @ (mbox @ (qmltpeq @ (op @ e0 @ e0) @ e2)) @ 132.87/17.47 (mand @ (mbox @ (qmltpeq @ (op @ e1 @ e1) @ e2)) @ 132.87/17.47 (mand @ (mbox @ (qmltpeq @ (op @ e2 @ e2) @ e2)) @ 132.87/17.47 (mbox @ (qmltpeq @ (op @ e3 @ e3) @ e2)))) @ 132.87/17.47 '#sk3'))) 132.87/17.47 | ('#form2' @ '#sk3' @ (op @ e3 @ e3) @ e0))), 132.87/17.47 inference('lazy_cnf_and', [status(thm)], [zip_derived_cl883])). 132.87/17.47 thf(zip_derived_cl910, plain, 132.87/17.47 (( (((!!) @ (^[Y0 : mworld]: 132.87/17.47 (((mrel @ '#sk3' @ Y0) => (qmltpeq @ (op @ e0 @ e0) @ 132.87/17.47 e1 @ Y0)))))) 132.87/17.47 | ('#form2' @ '#sk3' @ (op @ e3 @ e3) @ e0) 132.87/17.47 | (((mand @ (mbox @ (qmltpeq @ (op @ e0 @ e0) @ e3)) @ 132.87/17.47 (mand @ (mbox @ (qmltpeq @ (op @ e1 @ e1) @ e3)) @ 132.87/17.47 (mand @ (mbox @ (qmltpeq @ (op @ e2 @ e2) @ e3)) @ 132.87/17.47 (mbox @ (qmltpeq @ (op @ e3 @ e3) @ e3)))) @ 132.87/17.47 '#sk3') | (mand @ (mbox @ (qmltpeq @ (op @ e0 @ e0) @ e2)) @ 132.87/17.47 (mand @ (mbox @ (qmltpeq @ (op @ e1 @ e1) @ e2)) @ 132.87/17.47 (mand @ (mbox @ (qmltpeq @ (op @ e2 @ e2) @ e2)) @ 132.87/17.47 (mbox @ (qmltpeq @ (op @ e3 @ e3) @ e2)))) @ 132.87/17.47 '#sk3'))))), 132.87/17.47 inference('rw_clause', [status(thm)], [zip_derived_cl895, '4'])). 132.87/17.47 thf(zip_derived_cl256, plain, 132.87/17.47 (![X3 : mworld, X6 : $i, X7 : $i]: 132.87/17.47 (~ ('#form2' @ X3 @ X6 @ X7) 132.87/17.47 | (((!!) @ (^[Y0 : mworld]: 132.87/17.47 (((mrel @ X3 @ Y0) => (qmltpeq @ X6 @ X7 @ Y0)))))))), 132.87/17.47 define([status(thm)])). 132.87/17.47 thf(zip_derived_cl190, plain, 132.87/17.47 (![X3 : mworld, X6 : $i, X7 : $i]: 132.87/17.47 ( ('#form2' @ X3 @ X6 @ X7) 132.87/17.47 | ~ (((!!) @ (^[Y0 : mworld]: 132.87/17.47 (((mrel @ X3 @ Y0) => (qmltpeq @ X6 @ X7 @ Y0)))))))), 132.87/17.47 define([status(thm)])). 132.87/17.47 thf(zip_derived_cl926, plain, 132.87/17.47 (( ('#form2' @ '#sk3' @ (op @ e0 @ e0) @ e1) 132.87/17.47 | (((mand @ (mbox @ (qmltpeq @ (op @ e0 @ e0) @ e3)) @ 132.87/17.47 (mand @ (mbox @ (qmltpeq @ (op @ e1 @ e1) @ e3)) @ 132.87/17.47 (mand @ (mbox @ (qmltpeq @ (op @ e2 @ e2) @ e3)) @ 132.87/17.47 (mbox @ (qmltpeq @ (op @ e3 @ e3) @ e3)))) @ 132.87/17.47 '#sk3') | (mand @ (mbox @ (qmltpeq @ (op @ e0 @ e0) @ e2)) @ 132.87/17.47 (mand @ (mbox @ (qmltpeq @ (op @ e1 @ e1) @ e2)) @ 132.87/17.47 (mand @ (mbox @ (qmltpeq @ (op @ e2 @ e2) @ e2)) @ 132.87/17.47 (mbox @ (qmltpeq @ (op @ e3 @ e3) @ e2)))) @ 132.87/17.47 '#sk3'))) 132.87/17.47 | ('#form2' @ '#sk3' @ (op @ e3 @ e3) @ e0))), 132.87/17.47 inference('renaming', [status(thm)], 132.87/17.47 [zip_derived_cl910, zip_derived_cl256, zip_derived_cl190])). 132.87/17.47 thf(zip_derived_cl945, plain, 132.87/17.47 (( (mand @ (mbox @ (qmltpeq @ (op @ e0 @ e0) @ e3)) @ 132.87/17.47 (mand @ (mbox @ (qmltpeq @ (op @ e1 @ e1) @ e3)) @ 132.87/17.47 (mand @ (mbox @ (qmltpeq @ (op @ e2 @ e2) @ e3)) @ 132.87/17.47 (mbox @ (qmltpeq @ (op @ e3 @ e3) @ e3)))) @ 132.87/17.47 '#sk3') 132.87/17.47 | (mand @ (mbox @ (qmltpeq @ (op @ e0 @ e0) @ e2)) @ 132.87/17.47 (mand @ (mbox @ (qmltpeq @ (op @ e1 @ e1) @ e2)) @ 132.87/17.47 (mand @ (mbox @ (qmltpeq @ (op @ e2 @ e2) @ e2)) @ 132.87/17.47 (mbox @ (qmltpeq @ (op @ e3 @ e3) @ e2)))) @ 132.87/17.47 '#sk3') 132.87/17.47 | ('#form2' @ '#sk3' @ (op @ e3 @ e3) @ e0) 132.87/17.47 | ('#form2' @ '#sk3' @ (op @ e0 @ e0) @ e1))), 132.87/17.47 inference('lazy_cnf_or', [status(thm)], [zip_derived_cl926])). 132.87/17.47 thf(zip_derived_cl968, plain, 132.87/17.47 (( (((mand @ (mbox @ (qmltpeq @ (op @ e1 @ e1) @ e3)) @ 132.87/17.47 (mand @ (mbox @ (qmltpeq @ (op @ e2 @ e2) @ e3)) @ 132.87/17.47 (mbox @ (qmltpeq @ (op @ e3 @ e3) @ e3))) @ 132.87/17.47 '#sk3') & (mbox @ (qmltpeq @ (op @ e0 @ e0) @ e3) @ '#sk3'))) 132.87/17.47 | ('#form2' @ '#sk3' @ (op @ e0 @ e0) @ e1) 132.87/17.47 | ('#form2' @ '#sk3' @ (op @ e3 @ e3) @ e0) 132.87/17.47 | (mand @ (mbox @ (qmltpeq @ (op @ e0 @ e0) @ e2)) @ 132.87/17.47 (mand @ (mbox @ (qmltpeq @ (op @ e1 @ e1) @ e2)) @ 132.87/17.47 (mand @ (mbox @ (qmltpeq @ (op @ e2 @ e2) @ e2)) @ 132.87/17.47 (mbox @ (qmltpeq @ (op @ e3 @ e3) @ e2)))) @ 132.87/17.47 '#sk3'))), 132.87/17.47 inference('rw_clause', [status(thm)], [zip_derived_cl945, '3'])). 132.87/17.47 thf(zip_derived_cl952, plain, 132.87/17.47 ((~ ('#form4') 132.87/17.47 | (((mand @ (mbox @ (qmltpeq @ (op @ e1 @ e1) @ e3)) @ 132.87/17.47 (mand @ (mbox @ (qmltpeq @ (op @ e2 @ e2) @ e3)) @ 132.87/17.47 (mbox @ (qmltpeq @ (op @ e3 @ e3) @ e3))) @ 132.87/17.47 '#sk3') & (mbox @ (qmltpeq @ (op @ e0 @ e0) @ e3) @ '#sk3'))))), 132.87/17.47 define([status(thm)])). 132.87/17.47 thf(zip_derived_cl991, plain, 132.87/17.47 (( ('#form4') 132.87/17.47 | (mand @ (mbox @ (qmltpeq @ (op @ e0 @ e0) @ e2)) @ 132.87/17.47 (mand @ (mbox @ (qmltpeq @ (op @ e1 @ e1) @ e2)) @ 132.87/17.47 (mand @ (mbox @ (qmltpeq @ (op @ e2 @ e2) @ e2)) @ 132.87/17.47 (mbox @ (qmltpeq @ (op @ e3 @ e3) @ e2)))) @ 132.87/17.47 '#sk3') 132.87/17.47 | ('#form2' @ '#sk3' @ (op @ e3 @ e3) @ e0) 132.87/17.47 | ('#form2' @ '#sk3' @ (op @ e0 @ e0) @ e1))), 132.87/17.47 inference('renaming', [status(thm)], 132.87/17.47 [zip_derived_cl968, zip_derived_cl952])). 132.87/17.47 thf(zip_derived_cl1017, plain, 132.87/17.47 (( (((mand @ (mbox @ (qmltpeq @ (op @ e1 @ e1) @ e2)) @ 132.87/17.47 (mand @ (mbox @ (qmltpeq @ (op @ e2 @ e2) @ e2)) @ 132.87/17.47 (mbox @ (qmltpeq @ (op @ e3 @ e3) @ e2))) @ 132.87/17.47 '#sk3') & (mbox @ (qmltpeq @ (op @ e0 @ e0) @ e2) @ '#sk3'))) 132.87/17.47 | ('#form2' @ '#sk3' @ (op @ e0 @ e0) @ e1) 132.87/17.47 | ('#form2' @ '#sk3' @ (op @ e3 @ e3) @ e0) 132.87/17.47 | ('#form4'))), 132.87/17.47 inference('rw_clause', [status(thm)], [zip_derived_cl991, '3'])). 132.87/17.47 thf(zip_derived_cl1042, plain, 132.87/17.47 (( (mand @ (mbox @ (qmltpeq @ (op @ e1 @ e1) @ e2)) @ 132.87/17.47 (mand @ (mbox @ (qmltpeq @ (op @ e2 @ e2) @ e2)) @ 132.87/17.47 (mbox @ (qmltpeq @ (op @ e3 @ e3) @ e2))) @ 132.87/17.47 '#sk3') 132.87/17.47 | ('#form4') 132.87/17.47 | ('#form2' @ '#sk3' @ (op @ e3 @ e3) @ e0) 132.87/17.47 | ('#form2' @ '#sk3' @ (op @ e0 @ e0) @ e1))), 132.87/17.47 inference('lazy_cnf_and', [status(thm)], [zip_derived_cl1017])). 132.87/17.47 thf(zip_derived_cl1074, plain, 132.87/17.47 (( (((mand @ (mbox @ (qmltpeq @ (op @ e2 @ e2) @ e2)) @ 132.87/17.47 (mbox @ (qmltpeq @ (op @ e3 @ e3) @ e2)) @ '#sk3') & (mbox @ 132.87/17.47 (qmltpeq @ (op @ e1 @ e1) @ e2) @ '#sk3'))) 132.87/17.47 | ('#form2' @ '#sk3' @ (op @ e0 @ e0) @ e1) 132.87/17.47 | ('#form2' @ '#sk3' @ (op @ e3 @ e3) @ e0) 132.87/17.47 | ('#form4'))), 132.87/17.47 inference('rw_clause', [status(thm)], [zip_derived_cl1042, '3'])). 132.87/17.47 thf(zip_derived_cl1104, plain, 132.87/17.47 (( (mand @ (mbox @ (qmltpeq @ (op @ e2 @ e2) @ e2)) @ 132.87/17.47 (mbox @ (qmltpeq @ (op @ e3 @ e3) @ e2)) @ '#sk3') 132.87/17.47 | ('#form4') 132.87/17.47 | ('#form2' @ '#sk3' @ (op @ e3 @ e3) @ e0) 132.87/17.47 | ('#form2' @ '#sk3' @ (op @ e0 @ e0) @ e1))), 132.87/17.47 inference('lazy_cnf_and', [status(thm)], [zip_derived_cl1074])). 132.87/17.47 thf(zip_derived_cl1141, plain, 132.87/17.47 (( (((mbox @ (qmltpeq @ (op @ e3 @ e3) @ e2) @ '#sk3') & (mbox @ 132.87/17.47 (qmltpeq @ (op @ e2 @ e2) @ e2) @ '#sk3'))) 132.87/17.47 | ('#form2' @ '#sk3' @ (op @ e0 @ e0) @ e1) 132.87/17.47 | ('#form2' @ '#sk3' @ (op @ e3 @ e3) @ e0) 132.87/17.47 | ('#form4'))), 132.87/17.47 inference('rw_clause', [status(thm)], [zip_derived_cl1104, '3'])). 132.87/17.47 thf(zip_derived_cl1172, plain, 132.87/17.47 (( (mbox @ (qmltpeq @ (op @ e3 @ e3) @ e2) @ '#sk3') 132.87/17.47 | ('#form4') 132.87/17.47 | ('#form2' @ '#sk3' @ (op @ e3 @ e3) @ e0) 132.87/17.47 | ('#form2' @ '#sk3' @ (op @ e0 @ e0) @ e1))), 132.87/17.47 inference('lazy_cnf_and', [status(thm)], [zip_derived_cl1141])). 132.87/17.47 thf(zip_derived_cl1210, plain, 132.87/17.47 (( (((!!) @ (^[Y0 : mworld]: 132.87/17.47 (((mrel @ '#sk3' @ Y0) => (qmltpeq @ (op @ e3 @ e3) @ 132.87/17.47 e2 @ Y0)))))) 132.87/17.47 | ('#form2' @ '#sk3' @ (op @ e0 @ e0) @ e1) 132.87/17.47 | ('#form2' @ '#sk3' @ (op @ e3 @ e3) @ e0) 132.87/17.47 | ('#form4'))), 132.87/17.47 inference('rw_clause', [status(thm)], [zip_derived_cl1172, '4'])). 132.87/17.47 thf(zip_derived_cl256, plain, 132.87/17.47 (![X3 : mworld, X6 : $i, X7 : $i]: 132.87/17.47 (~ ('#form2' @ X3 @ X6 @ X7) 132.87/17.47 | (((!!) @ (^[Y0 : mworld]: 132.87/17.47 (((mrel @ X3 @ Y0) => (qmltpeq @ X6 @ X7 @ Y0)))))))), 132.87/17.47 define([status(thm)])). 132.87/17.47 thf(zip_derived_cl190, plain, 132.87/17.47 (![X3 : mworld, X6 : $i, X7 : $i]: 132.87/17.47 ( ('#form2' @ X3 @ X6 @ X7) 132.87/17.47 | ~ (((!!) @ (^[Y0 : mworld]: 132.87/17.47 (((mrel @ X3 @ Y0) => (qmltpeq @ X6 @ X7 @ Y0)))))))), 132.87/17.47 define([status(thm)])). 132.87/17.47 thf(zip_derived_cl1239, plain, 132.87/17.47 (( ('#form2' @ '#sk3' @ (op @ e3 @ e3) @ e2) 132.87/17.47 | ('#form4') 132.87/17.47 | ('#form2' @ '#sk3' @ (op @ e3 @ e3) @ e0) 132.87/17.47 | ('#form2' @ '#sk3' @ (op @ e0 @ e0) @ e1))), 132.87/17.47 inference('renaming', [status(thm)], 132.87/17.47 [zip_derived_cl1210, zip_derived_cl256, zip_derived_cl190])). 132.87/17.47 thf(zip_derived_cl1105, plain, 132.87/17.47 (( (mbox @ (qmltpeq @ (op @ e1 @ e1) @ e2) @ '#sk3') 132.87/17.47 | ('#form4') 132.87/17.47 | ('#form2' @ '#sk3' @ (op @ e3 @ e3) @ e0) 132.87/17.47 | ('#form2' @ '#sk3' @ (op @ e0 @ e0) @ e1))), 132.87/17.47 inference('lazy_cnf_and', [status(thm)], [zip_derived_cl1074])). 132.87/17.47 thf(zip_derived_cl1142, plain, 132.87/17.47 (( (((!!) @ (^[Y0 : mworld]: 132.87/17.47 (((mrel @ '#sk3' @ Y0) => (qmltpeq @ (op @ e1 @ e1) @ 132.87/17.47 e2 @ Y0)))))) 132.87/17.47 | ('#form2' @ '#sk3' @ (op @ e0 @ e0) @ e1) 132.87/17.47 | ('#form2' @ '#sk3' @ (op @ e3 @ e3) @ e0) 132.87/17.47 | ('#form4'))), 132.87/17.47 inference('rw_clause', [status(thm)], [zip_derived_cl1105, '4'])). 132.87/17.47 thf(zip_derived_cl256, plain, 132.87/17.47 (![X3 : mworld, X6 : $i, X7 : $i]: 132.87/17.47 (~ ('#form2' @ X3 @ X6 @ X7) 132.87/17.47 | (((!!) @ (^[Y0 : mworld]: 132.87/17.47 (((mrel @ X3 @ Y0) => (qmltpeq @ X6 @ X7 @ Y0)))))))), 132.87/17.47 define([status(thm)])). 132.87/17.47 thf(zip_derived_cl190, plain, 132.87/17.47 (![X3 : mworld, X6 : $i, X7 : $i]: 132.87/17.47 ( ('#form2' @ X3 @ X6 @ X7) 132.87/17.47 | ~ (((!!) @ (^[Y0 : mworld]: 132.87/17.47 (((mrel @ X3 @ Y0) => (qmltpeq @ X6 @ X7 @ Y0)))))))), 132.87/17.47 define([status(thm)])). 132.87/17.47 thf(zip_derived_cl1174, plain, 132.87/17.47 (( ('#form2' @ '#sk3' @ (op @ e1 @ e1) @ e2) 132.87/17.47 | ('#form4') 132.87/17.47 | ('#form2' @ '#sk3' @ (op @ e3 @ e3) @ e0) 132.87/17.47 | ('#form2' @ '#sk3' @ (op @ e0 @ e0) @ e1))), 132.87/17.47 inference('renaming', [status(thm)], 132.87/17.47 [zip_derived_cl1142, zip_derived_cl256, zip_derived_cl190])). 132.87/17.47 thf(zip_derived_cl897, plain, 132.87/17.47 (( (mbox @ (qmltpeq @ (op @ e0 @ e0) @ e1) @ '#sk3') 132.87/17.47 | (((mand @ (mbox @ (qmltpeq @ (op @ e0 @ e0) @ e3)) @ 132.87/17.47 (mand @ (mbox @ (qmltpeq @ (op @ e1 @ e1) @ e3)) @ 132.87/17.47 (mand @ (mbox @ (qmltpeq @ (op @ e2 @ e2) @ e3)) @ 132.87/17.47 (mbox @ (qmltpeq @ (op @ e3 @ e3) @ e3)))) @ 132.87/17.47 '#sk3') | (mand @ (mbox @ (qmltpeq @ (op @ e0 @ e0) @ e2)) @ 132.87/17.47 (mand @ (mbox @ (qmltpeq @ (op @ e1 @ e1) @ e2)) @ 132.87/17.47 (mand @ (mbox @ (qmltpeq @ (op @ e2 @ e2) @ e2)) @ 132.87/17.47 (mbox @ (qmltpeq @ (op @ e3 @ e3) @ e2)))) @ 132.87/17.47 '#sk3'))) 132.87/17.47 | ('#form2' @ '#sk3' @ (op @ e2 @ e2) @ e0))), 132.87/17.47 inference('lazy_cnf_and', [status(thm)], [zip_derived_cl884])). 132.87/17.47 thf(zip_derived_cl912, plain, 132.87/17.47 (( (((!!) @ (^[Y0 : mworld]: 132.87/17.47 (((mrel @ '#sk3' @ Y0) => (qmltpeq @ (op @ e0 @ e0) @ 132.87/17.47 e1 @ Y0)))))) 132.87/17.47 | ('#form2' @ '#sk3' @ (op @ e2 @ e2) @ e0) 132.87/17.47 | (((mand @ (mbox @ (qmltpeq @ (op @ e0 @ e0) @ e3)) @ 132.87/17.47 (mand @ (mbox @ (qmltpeq @ (op @ e1 @ e1) @ e3)) @ 132.87/17.47 (mand @ (mbox @ (qmltpeq @ (op @ e2 @ e2) @ e3)) @ 132.87/17.47 (mbox @ (qmltpeq @ (op @ e3 @ e3) @ e3)))) @ 132.87/17.47 '#sk3') | (mand @ (mbox @ (qmltpeq @ (op @ e0 @ e0) @ e2)) @ 132.87/17.47 (mand @ (mbox @ (qmltpeq @ (op @ e1 @ e1) @ e2)) @ 132.87/17.47 (mand @ (mbox @ (qmltpeq @ (op @ e2 @ e2) @ e2)) @ 132.87/17.47 (mbox @ (qmltpeq @ (op @ e3 @ e3) @ e2)))) @ 132.87/17.47 '#sk3'))))), 132.87/17.47 inference('rw_clause', [status(thm)], [zip_derived_cl897, '4'])). 132.87/17.47 thf(zip_derived_cl256, plain, 132.87/17.47 (![X3 : mworld, X6 : $i, X7 : $i]: 132.87/17.47 (~ ('#form2' @ X3 @ X6 @ X7) 132.87/17.47 | (((!!) @ (^[Y0 : mworld]: 132.87/17.47 (((mrel @ X3 @ Y0) => (qmltpeq @ X6 @ X7 @ Y0)))))))), 132.87/17.47 define([status(thm)])). 132.87/17.47 thf(zip_derived_cl190, plain, 132.87/17.47 (![X3 : mworld, X6 : $i, X7 : $i]: 132.87/17.47 ( ('#form2' @ X3 @ X6 @ X7) 132.87/17.47 | ~ (((!!) @ (^[Y0 : mworld]: 132.87/17.47 (((mrel @ X3 @ Y0) => (qmltpeq @ X6 @ X7 @ Y0)))))))), 132.87/17.47 define([status(thm)])). 132.87/17.47 thf(zip_derived_cl929, plain, 132.87/17.47 (( ('#form2' @ '#sk3' @ (op @ e0 @ e0) @ e1) 132.87/17.47 | (((mand @ (mbox @ (qmltpeq @ (op @ e0 @ e0) @ e3)) @ 132.87/17.47 (mand @ (mbox @ (qmltpeq @ (op @ e1 @ e1) @ e3)) @ 132.87/17.47 (mand @ (mbox @ (qmltpeq @ (op @ e2 @ e2) @ e3)) @ 132.87/17.47 (mbox @ (qmltpeq @ (op @ e3 @ e3) @ e3)))) @ 132.87/17.47 '#sk3') | (mand @ (mbox @ (qmltpeq @ (op @ e0 @ e0) @ e2)) @ 132.87/17.47 (mand @ (mbox @ (qmltpeq @ (op @ e1 @ e1) @ e2)) @ 132.87/17.47 (mand @ (mbox @ (qmltpeq @ (op @ e2 @ e2) @ e2)) @ 132.87/17.47 (mbox @ (qmltpeq @ (op @ e3 @ e3) @ e2)))) @ 132.87/17.47 '#sk3'))) 132.87/17.47 | ('#form2' @ '#sk3' @ (op @ e2 @ e2) @ e0))), 132.87/17.47 inference('renaming', [status(thm)], 132.87/17.47 [zip_derived_cl912, zip_derived_cl256, zip_derived_cl190])). 132.87/17.47 thf(zip_derived_cl948, plain, 132.87/17.47 (( (mand @ (mbox @ (qmltpeq @ (op @ e0 @ e0) @ e3)) @ 132.87/17.47 (mand @ (mbox @ (qmltpeq @ (op @ e1 @ e1) @ e3)) @ 132.87/17.47 (mand @ (mbox @ (qmltpeq @ (op @ e2 @ e2) @ e3)) @ 132.87/17.47 (mbox @ (qmltpeq @ (op @ e3 @ e3) @ e3)))) @ 132.87/17.47 '#sk3') 132.87/17.47 | (mand @ (mbox @ (qmltpeq @ (op @ e0 @ e0) @ e2)) @ 132.87/17.47 (mand @ (mbox @ (qmltpeq @ (op @ e1 @ e1) @ e2)) @ 132.87/17.47 (mand @ (mbox @ (qmltpeq @ (op @ e2 @ e2) @ e2)) @ 132.87/17.47 (mbox @ (qmltpeq @ (op @ e3 @ e3) @ e2)))) @ 132.87/17.47 '#sk3') 132.87/17.47 | ('#form2' @ '#sk3' @ (op @ e2 @ e2) @ e0) 132.87/17.47 | ('#form2' @ '#sk3' @ (op @ e0 @ e0) @ e1))), 132.87/17.47 inference('lazy_cnf_or', [status(thm)], [zip_derived_cl929])). 132.87/17.47 thf(zip_derived_cl972, plain, 132.87/17.47 (( (((mand @ (mbox @ (qmltpeq @ (op @ e1 @ e1) @ e3)) @ 132.87/17.47 (mand @ (mbox @ (qmltpeq @ (op @ e2 @ e2) @ e3)) @ 132.87/17.47 (mbox @ (qmltpeq @ (op @ e3 @ e3) @ e3))) @ 132.87/17.47 '#sk3') & (mbox @ (qmltpeq @ (op @ e0 @ e0) @ e3) @ '#sk3'))) 132.87/17.47 | ('#form2' @ '#sk3' @ (op @ e0 @ e0) @ e1) 132.87/17.47 | ('#form2' @ '#sk3' @ (op @ e2 @ e2) @ e0) 132.87/17.47 | (mand @ (mbox @ (qmltpeq @ (op @ e0 @ e0) @ e2)) @ 132.87/17.47 (mand @ (mbox @ (qmltpeq @ (op @ e1 @ e1) @ e2)) @ 132.87/17.47 (mand @ (mbox @ (qmltpeq @ (op @ e2 @ e2) @ e2)) @ 132.87/17.47 (mbox @ (qmltpeq @ (op @ e3 @ e3) @ e2)))) @ 132.87/17.47 '#sk3'))), 132.87/17.47 inference('rw_clause', [status(thm)], [zip_derived_cl948, '3'])). 132.87/17.47 thf(zip_derived_cl952, plain, 132.87/17.47 ((~ ('#form4') 132.87/17.47 | (((mand @ (mbox @ (qmltpeq @ (op @ e1 @ e1) @ e3)) @ 132.87/17.47 (mand @ (mbox @ (qmltpeq @ (op @ e2 @ e2) @ e3)) @ 132.87/17.47 (mbox @ (qmltpeq @ (op @ e3 @ e3) @ e3))) @ 132.87/17.47 '#sk3') & (mbox @ (qmltpeq @ (op @ e0 @ e0) @ e3) @ '#sk3'))))), 132.87/17.47 define([status(thm)])). 132.87/17.47 thf(zip_derived_cl995, plain, 132.87/17.47 (( ('#form4') 132.87/17.47 | (mand @ (mbox @ (qmltpeq @ (op @ e0 @ e0) @ e2)) @ 132.87/17.47 (mand @ (mbox @ (qmltpeq @ (op @ e1 @ e1) @ e2)) @ 132.87/17.47 (mand @ (mbox @ (qmltpeq @ (op @ e2 @ e2) @ e2)) @ 132.87/17.47 (mbox @ (qmltpeq @ (op @ e3 @ e3) @ e2)))) @ 132.87/17.47 '#sk3') 132.87/17.47 | ('#form2' @ '#sk3' @ (op @ e2 @ e2) @ e0) 132.87/17.47 | ('#form2' @ '#sk3' @ (op @ e0 @ e0) @ e1))), 132.87/17.47 inference('renaming', [status(thm)], 132.87/17.47 [zip_derived_cl972, zip_derived_cl952])). 132.87/17.47 thf(zip_derived_cl1021, plain, 132.87/17.47 (( (((mand @ (mbox @ (qmltpeq @ (op @ e1 @ e1) @ e2)) @ 132.87/17.47 (mand @ (mbox @ (qmltpeq @ (op @ e2 @ e2) @ e2)) @ 132.87/17.47 (mbox @ (qmltpeq @ (op @ e3 @ e3) @ e2))) @ 132.87/17.47 '#sk3') & (mbox @ (qmltpeq @ (op @ e0 @ e0) @ e2) @ '#sk3'))) 132.87/17.47 | ('#form2' @ '#sk3' @ (op @ e0 @ e0) @ e1) 132.87/17.47 | ('#form2' @ '#sk3' @ (op @ e2 @ e2) @ e0) 132.87/17.47 | ('#form4'))), 132.87/17.47 inference('rw_clause', [status(thm)], [zip_derived_cl995, '3'])). 132.87/17.47 thf(zip_derived_cl1047, plain, 132.87/17.47 (( (mand @ (mbox @ (qmltpeq @ (op @ e1 @ e1) @ e2)) @ 132.87/17.47 (mand @ (mbox @ (qmltpeq @ (op @ e2 @ e2) @ e2)) @ 132.87/17.47 (mbox @ (qmltpeq @ (op @ e3 @ e3) @ e2))) @ 132.87/17.47 '#sk3') 132.87/17.47 | ('#form4') 132.87/17.47 | ('#form2' @ '#sk3' @ (op @ e2 @ e2) @ e0) 132.87/17.47 | ('#form2' @ '#sk3' @ (op @ e0 @ e0) @ e1))), 132.87/17.47 inference('lazy_cnf_and', [status(thm)], [zip_derived_cl1021])). 132.87/17.47 thf(zip_derived_cl1079, plain, 132.87/17.47 (( (((mand @ (mbox @ (qmltpeq @ (op @ e2 @ e2) @ e2)) @ 132.87/17.47 (mbox @ (qmltpeq @ (op @ e3 @ e3) @ e2)) @ '#sk3') & (mbox @ 132.87/17.47 (qmltpeq @ (op @ e1 @ e1) @ e2) @ '#sk3'))) 132.87/17.47 | ('#form2' @ '#sk3' @ (op @ e0 @ e0) @ e1) 132.87/17.47 | ('#form2' @ '#sk3' @ (op @ e2 @ e2) @ e0) 132.87/17.47 | ('#form4'))), 132.87/17.47 inference('rw_clause', [status(thm)], [zip_derived_cl1047, '3'])). 132.87/17.47 thf(zip_derived_cl1111, plain, 132.87/17.47 (( (mand @ (mbox @ (qmltpeq @ (op @ e2 @ e2) @ e2)) @ 132.87/17.47 (mbox @ (qmltpeq @ (op @ e3 @ e3) @ e2)) @ '#sk3') 132.87/17.47 | ('#form4') 132.87/17.47 | ('#form2' @ '#sk3' @ (op @ e2 @ e2) @ e0) 132.87/17.47 | ('#form2' @ '#sk3' @ (op @ e0 @ e0) @ e1))), 132.87/17.47 inference('lazy_cnf_and', [status(thm)], [zip_derived_cl1079])). 132.87/17.47 thf(zip_derived_cl1147, plain, 132.87/17.47 (( (((mbox @ (qmltpeq @ (op @ e3 @ e3) @ e2) @ '#sk3') & (mbox @ 132.87/17.47 (qmltpeq @ (op @ e2 @ e2) @ e2) @ '#sk3'))) 132.87/17.47 | ('#form2' @ '#sk3' @ (op @ e0 @ e0) @ e1) 132.87/17.47 | ('#form2' @ '#sk3' @ (op @ e2 @ e2) @ e0) 132.87/17.47 | ('#form4'))), 132.87/17.47 inference('rw_clause', [status(thm)], [zip_derived_cl1111, '3'])). 132.87/17.47 thf(zip_derived_cl1182, plain, 132.87/17.47 (( (mbox @ (qmltpeq @ (op @ e3 @ e3) @ e2) @ '#sk3') 132.87/17.47 | ('#form4') 132.87/17.47 | ('#form2' @ '#sk3' @ (op @ e2 @ e2) @ e0) 132.87/17.47 | ('#form2' @ '#sk3' @ (op @ e0 @ e0) @ e1))), 132.87/17.47 inference('lazy_cnf_and', [status(thm)], [zip_derived_cl1147])). 132.87/17.47 thf(zip_derived_cl1218, plain, 132.87/17.47 (( (((!!) @ (^[Y0 : mworld]: 132.87/17.47 (((mrel @ '#sk3' @ Y0) => (qmltpeq @ (op @ e3 @ e3) @ 132.87/17.47 e2 @ Y0)))))) 132.87/17.47 | ('#form2' @ '#sk3' @ (op @ e0 @ e0) @ e1) 132.87/17.47 | ('#form2' @ '#sk3' @ (op @ e2 @ e2) @ e0) 132.87/17.47 | ('#form4'))), 132.87/17.47 inference('rw_clause', [status(thm)], [zip_derived_cl1182, '4'])). 132.87/17.47 thf(zip_derived_cl256, plain, 132.87/17.47 (![X3 : mworld, X6 : $i, X7 : $i]: 132.87/17.47 (~ ('#form2' @ X3 @ X6 @ X7) 132.87/17.47 | (((!!) @ (^[Y0 : mworld]: 132.87/17.47 (((mrel @ X3 @ Y0) => (qmltpeq @ X6 @ X7 @ Y0)))))))), 132.87/17.47 define([status(thm)])). 132.87/17.47 thf(zip_derived_cl190, plain, 132.87/17.47 (![X3 : mworld, X6 : $i, X7 : $i]: 132.87/17.47 ( ('#form2' @ X3 @ X6 @ X7) 132.87/17.47 | ~ (((!!) @ (^[Y0 : mworld]: 132.87/17.47 (((mrel @ X3 @ Y0) => (qmltpeq @ X6 @ X7 @ Y0)))))))), 132.87/17.47 define([status(thm)])). 132.87/17.47 thf(zip_derived_cl1250, plain, 132.87/17.47 (( ('#form2' @ '#sk3' @ (op @ e3 @ e3) @ e2) 132.87/17.47 | ('#form4') 132.87/17.47 | ('#form2' @ '#sk3' @ (op @ e2 @ e2) @ e0) 132.87/17.47 | ('#form2' @ '#sk3' @ (op @ e0 @ e0) @ e1))), 132.87/17.47 inference('renaming', [status(thm)], 132.87/17.47 [zip_derived_cl1218, zip_derived_cl256, zip_derived_cl190])). 132.87/17.47 thf(zip_derived_cl1112, plain, 132.87/17.47 (( (mbox @ (qmltpeq @ (op @ e1 @ e1) @ e2) @ '#sk3') 132.87/17.47 | ('#form4') 132.87/17.47 | ('#form2' @ '#sk3' @ (op @ e2 @ e2) @ e0) 132.87/17.47 | ('#form2' @ '#sk3' @ (op @ e0 @ e0) @ e1))), 132.87/17.47 inference('lazy_cnf_and', [status(thm)], [zip_derived_cl1079])). 132.87/17.47 thf(zip_derived_cl1148, plain, 132.87/17.47 (( (((!!) @ (^[Y0 : mworld]: 132.87/17.47 (((mrel @ '#sk3' @ Y0) => (qmltpeq @ (op @ e1 @ e1) @ 132.87/17.47 e2 @ Y0)))))) 132.87/17.47 | ('#form2' @ '#sk3' @ (op @ e0 @ e0) @ e1) 132.87/17.47 | ('#form2' @ '#sk3' @ (op @ e2 @ e2) @ e0) 132.87/17.47 | ('#form4'))), 132.87/17.47 inference('rw_clause', [status(thm)], [zip_derived_cl1112, '4'])). 132.87/17.47 thf(zip_derived_cl256, plain, 132.87/17.47 (![X3 : mworld, X6 : $i, X7 : $i]: 132.87/17.47 (~ ('#form2' @ X3 @ X6 @ X7) 132.87/17.47 | (((!!) @ (^[Y0 : mworld]: 132.87/17.47 (((mrel @ X3 @ Y0) => (qmltpeq @ X6 @ X7 @ Y0)))))))), 132.87/17.47 define([status(thm)])). 132.87/17.47 thf(zip_derived_cl190, plain, 132.87/17.47 (![X3 : mworld, X6 : $i, X7 : $i]: 132.87/17.47 ( ('#form2' @ X3 @ X6 @ X7) 132.87/17.47 | ~ (((!!) @ (^[Y0 : mworld]: 132.87/17.47 (((mrel @ X3 @ Y0) => (qmltpeq @ X6 @ X7 @ Y0)))))))), 132.87/17.47 define([status(thm)])). 132.87/17.47 thf(zip_derived_cl1184, plain, 132.87/17.47 (( ('#form2' @ '#sk3' @ (op @ e1 @ e1) @ e2) 132.87/17.47 | ('#form4') 132.87/17.47 | ('#form2' @ '#sk3' @ (op @ e2 @ e2) @ e0) 132.87/17.47 | ('#form2' @ '#sk3' @ (op @ e0 @ e0) @ e1))), 132.87/17.47 inference('renaming', [status(thm)], 132.87/17.47 [zip_derived_cl1148, zip_derived_cl256, zip_derived_cl190])). 132.87/17.47 thf(zip_derived_cl933, plain, 132.87/17.47 (( (((mand @ (mbox @ (qmltpeq @ (op @ e1 @ e1) @ e3)) @ 132.87/17.47 (mand @ (mbox @ (qmltpeq @ (op @ e2 @ e2) @ e3)) @ 132.87/17.47 (mbox @ (qmltpeq @ (op @ e3 @ e3) @ e3))) @ 132.87/17.47 '#sk3') & (mbox @ (qmltpeq @ (op @ e0 @ e0) @ e3) @ '#sk3'))) 132.87/17.47 | ('#form2' @ '#sk3' @ (op @ e0 @ e0) @ e1) 132.87/17.47 | ('#form2' @ '#sk3' @ (op @ e1 @ e1) @ e0) 132.87/17.47 | (mand @ (mbox @ (qmltpeq @ (op @ e0 @ e0) @ e2)) @ 132.87/17.47 (mand @ (mbox @ (qmltpeq @ (op @ e1 @ e1) @ e2)) @ 132.87/17.47 (mand @ (mbox @ (qmltpeq @ (op @ e2 @ e2) @ e2)) @ 132.87/17.47 (mbox @ (qmltpeq @ (op @ e3 @ e3) @ e2)))) @ 132.87/17.47 '#sk3'))), 132.87/17.47 inference('rw_clause', [status(thm)], [zip_derived_cl915, '3'])). 132.87/17.47 thf(zip_derived_cl952, plain, 132.87/17.47 ((~ ('#form4') 132.87/17.47 | (((mand @ (mbox @ (qmltpeq @ (op @ e1 @ e1) @ e3)) @ 132.87/17.47 (mand @ (mbox @ (qmltpeq @ (op @ e2 @ e2) @ e3)) @ 132.87/17.47 (mbox @ (qmltpeq @ (op @ e3 @ e3) @ e3))) @ 132.87/17.47 '#sk3') & (mbox @ (qmltpeq @ (op @ e0 @ e0) @ e3) @ '#sk3'))))), 132.87/17.47 define([status(thm)])). 132.87/17.47 thf(zip_derived_cl955, plain, 132.87/17.47 (( ('#form4') 132.87/17.47 | (mand @ (mbox @ (qmltpeq @ (op @ e0 @ e0) @ e2)) @ 132.87/17.47 (mand @ (mbox @ (qmltpeq @ (op @ e1 @ e1) @ e2)) @ 132.87/17.47 (mand @ (mbox @ (qmltpeq @ (op @ e2 @ e2) @ e2)) @ 132.87/17.47 (mbox @ (qmltpeq @ (op @ e3 @ e3) @ e2)))) @ 132.87/17.47 '#sk3') 132.87/17.47 | ('#form2' @ '#sk3' @ (op @ e1 @ e1) @ e0) 132.87/17.47 | ('#form2' @ '#sk3' @ (op @ e0 @ e0) @ e1))), 132.87/17.47 inference('renaming', [status(thm)], 132.87/17.47 [zip_derived_cl933, zip_derived_cl952])). 132.87/17.47 thf(zip_derived_cl976, plain, 132.87/17.47 (( (((mand @ (mbox @ (qmltpeq @ (op @ e1 @ e1) @ e2)) @ 132.87/17.47 (mand @ (mbox @ (qmltpeq @ (op @ e2 @ e2) @ e2)) @ 132.87/17.47 (mbox @ (qmltpeq @ (op @ e3 @ e3) @ e2))) @ 132.87/17.47 '#sk3') & (mbox @ (qmltpeq @ (op @ e0 @ e0) @ e2) @ '#sk3'))) 132.87/17.47 | ('#form2' @ '#sk3' @ (op @ e0 @ e0) @ e1) 132.87/17.47 | ('#form2' @ '#sk3' @ (op @ e1 @ e1) @ e0) 132.87/17.47 | ('#form4'))), 132.87/17.47 inference('rw_clause', [status(thm)], [zip_derived_cl955, '3'])). 132.87/17.47 thf(zip_derived_cl999, plain, 132.87/17.47 (( (mand @ (mbox @ (qmltpeq @ (op @ e1 @ e1) @ e2)) @ 132.87/17.47 (mand @ (mbox @ (qmltpeq @ (op @ e2 @ e2) @ e2)) @ 132.87/17.47 (mbox @ (qmltpeq @ (op @ e3 @ e3) @ e2))) @ 132.87/17.47 '#sk3') 132.87/17.47 | ('#form4') 132.87/17.47 | ('#form2' @ '#sk3' @ (op @ e1 @ e1) @ e0) 132.87/17.47 | ('#form2' @ '#sk3' @ (op @ e0 @ e0) @ e1))), 132.87/17.47 inference('lazy_cnf_and', [status(thm)], [zip_derived_cl976])). 132.87/17.47 thf(zip_derived_cl1025, plain, 132.87/17.47 (( (((mand @ (mbox @ (qmltpeq @ (op @ e2 @ e2) @ e2)) @ 132.87/17.47 (mbox @ (qmltpeq @ (op @ e3 @ e3) @ e2)) @ '#sk3') & (mbox @ 132.87/17.47 (qmltpeq @ (op @ e1 @ e1) @ e2) @ '#sk3'))) 132.87/17.47 | ('#form2' @ '#sk3' @ (op @ e0 @ e0) @ e1) 132.87/17.47 | ('#form2' @ '#sk3' @ (op @ e1 @ e1) @ e0) 132.87/17.47 | ('#form4'))), 132.87/17.47 inference('rw_clause', [status(thm)], [zip_derived_cl999, '3'])). 132.87/17.47 thf(zip_derived_cl1053, plain, 132.87/17.47 (( (mand @ (mbox @ (qmltpeq @ (op @ e2 @ e2) @ e2)) @ 132.87/17.47 (mbox @ (qmltpeq @ (op @ e3 @ e3) @ e2)) @ '#sk3') 132.87/17.47 | ('#form4') 132.87/17.47 | ('#form2' @ '#sk3' @ (op @ e1 @ e1) @ e0) 132.87/17.47 | ('#form2' @ '#sk3' @ (op @ e0 @ e0) @ e1))), 132.87/17.47 inference('lazy_cnf_and', [status(thm)], [zip_derived_cl1025])). 132.87/17.47 thf(zip_derived_cl1085, plain, 132.87/17.47 (( (((mbox @ (qmltpeq @ (op @ e3 @ e3) @ e2) @ '#sk3') & (mbox @ 132.87/17.47 (qmltpeq @ (op @ e2 @ e2) @ e2) @ '#sk3'))) 132.87/17.47 | ('#form2' @ '#sk3' @ (op @ e0 @ e0) @ e1) 132.87/17.47 | ('#form2' @ '#sk3' @ (op @ e1 @ e1) @ e0) 132.87/17.47 | ('#form4'))), 132.87/17.47 inference('rw_clause', [status(thm)], [zip_derived_cl1053, '3'])). 132.87/17.47 thf(zip_derived_cl1121, plain, 132.87/17.47 (( (mbox @ (qmltpeq @ (op @ e3 @ e3) @ e2) @ '#sk3') 132.87/17.47 | ('#form4') 132.87/17.47 | ('#form2' @ '#sk3' @ (op @ e1 @ e1) @ e0) 132.87/17.47 | ('#form2' @ '#sk3' @ (op @ e0 @ e0) @ e1))), 132.87/17.47 inference('lazy_cnf_and', [status(thm)], [zip_derived_cl1085])). 132.87/17.47 thf(zip_derived_cl1155, plain, 132.87/17.47 (( (((!!) @ (^[Y0 : mworld]: 132.87/17.47 (((mrel @ '#sk3' @ Y0) => (qmltpeq @ (op @ e3 @ e3) @ 132.87/17.47 e2 @ Y0)))))) 132.87/17.47 | ('#form2' @ '#sk3' @ (op @ e0 @ e0) @ e1) 132.87/17.47 | ('#form2' @ '#sk3' @ (op @ e1 @ e1) @ e0) 132.87/17.47 | ('#form4'))), 132.87/17.47 inference('rw_clause', [status(thm)], [zip_derived_cl1121, '4'])). 132.87/17.47 thf(zip_derived_cl256, plain, 132.87/17.47 (![X3 : mworld, X6 : $i, X7 : $i]: 132.87/17.47 (~ ('#form2' @ X3 @ X6 @ X7) 132.87/17.47 | (((!!) @ (^[Y0 : mworld]: 132.87/17.47 (((mrel @ X3 @ Y0) => (qmltpeq @ X6 @ X7 @ Y0)))))))), 132.87/17.47 define([status(thm)])). 132.87/17.47 thf(zip_derived_cl190, plain, 132.87/17.47 (![X3 : mworld, X6 : $i, X7 : $i]: 132.87/17.47 ( ('#form2' @ X3 @ X6 @ X7) 132.87/17.47 | ~ (((!!) @ (^[Y0 : mworld]: 132.87/17.47 (((mrel @ X3 @ Y0) => (qmltpeq @ X6 @ X7 @ Y0)))))))), 132.87/17.47 define([status(thm)])). 132.87/17.47 thf(zip_derived_cl1194, plain, 132.87/17.47 (( ('#form2' @ '#sk3' @ (op @ e3 @ e3) @ e2) 132.87/17.47 | ('#form4') 132.87/17.47 | ('#form2' @ '#sk3' @ (op @ e1 @ e1) @ e0) 132.87/17.47 | ('#form2' @ '#sk3' @ (op @ e0 @ e0) @ e1))), 132.87/17.47 inference('renaming', [status(thm)], 132.87/17.47 [zip_derived_cl1155, zip_derived_cl256, zip_derived_cl190])). 132.87/17.47 thf(zip_derived_cl1054, plain, 132.87/17.47 (( (mbox @ (qmltpeq @ (op @ e1 @ e1) @ e2) @ '#sk3') 132.87/17.47 | ('#form4') 132.87/17.47 | ('#form2' @ '#sk3' @ (op @ e1 @ e1) @ e0) 132.87/17.47 | ('#form2' @ '#sk3' @ (op @ e0 @ e0) @ e1))), 132.87/17.47 inference('lazy_cnf_and', [status(thm)], [zip_derived_cl1025])). 132.87/17.47 thf(zip_derived_cl1086, plain, 132.87/17.47 (( (((!!) @ (^[Y0 : mworld]: 132.87/17.47 (((mrel @ '#sk3' @ Y0) => (qmltpeq @ (op @ e1 @ e1) @ 132.87/17.47 e2 @ Y0)))))) 132.87/17.47 | ('#form2' @ '#sk3' @ (op @ e0 @ e0) @ e1) 132.87/17.47 | ('#form2' @ '#sk3' @ (op @ e1 @ e1) @ e0) 132.87/17.47 | ('#form4'))), 132.87/17.47 inference('rw_clause', [status(thm)], [zip_derived_cl1054, '4'])). 132.87/17.47 thf(zip_derived_cl256, plain, 132.87/17.47 (![X3 : mworld, X6 : $i, X7 : $i]: 132.87/17.47 (~ ('#form2' @ X3 @ X6 @ X7) 132.87/17.47 | (((!!) @ (^[Y0 : mworld]: 132.87/17.47 (((mrel @ X3 @ Y0) => (qmltpeq @ X6 @ X7 @ Y0)))))))), 132.87/17.47 define([status(thm)])). 132.87/17.47 thf(zip_derived_cl190, plain, 132.87/17.47 (![X3 : mworld, X6 : $i, X7 : $i]: 132.87/17.47 ( ('#form2' @ X3 @ X6 @ X7) 132.87/17.47 | ~ (((!!) @ (^[Y0 : mworld]: 132.87/17.47 (((mrel @ X3 @ Y0) => (qmltpeq @ X6 @ X7 @ Y0)))))))), 132.87/17.47 define([status(thm)])). 132.87/17.47 thf(zip_derived_cl1123, plain, 132.87/17.47 (( ('#form2' @ '#sk3' @ (op @ e1 @ e1) @ e2) 132.87/17.47 | ('#form4') 132.87/17.47 | ('#form2' @ '#sk3' @ (op @ e1 @ e1) @ e0) 132.87/17.47 | ('#form2' @ '#sk3' @ (op @ e0 @ e0) @ e1))), 132.87/17.47 inference('renaming', [status(thm)], 132.87/17.47 [zip_derived_cl1086, zip_derived_cl256, zip_derived_cl190])). 132.87/17.47 thf(zip_derived_cl1183, plain, 132.87/17.47 (( (mbox @ (qmltpeq @ (op @ e2 @ e2) @ e2) @ '#sk3') 132.87/17.47 | ('#form4') 132.87/17.47 | ('#form2' @ '#sk3' @ (op @ e2 @ e2) @ e0) 132.87/17.47 | ('#form2' @ '#sk3' @ (op @ e0 @ e0) @ e1))), 132.87/17.47 inference('lazy_cnf_and', [status(thm)], [zip_derived_cl1147])). 132.87/17.47 thf(zip_derived_cl1219, plain, 132.87/17.47 (( (((!!) @ (^[Y0 : mworld]: 132.87/17.47 (((mrel @ '#sk3' @ Y0) => (qmltpeq @ (op @ e2 @ e2) @ 132.87/17.47 e2 @ Y0)))))) 132.87/17.47 | ('#form2' @ '#sk3' @ (op @ e0 @ e0) @ e1) 132.87/17.47 | ('#form2' @ '#sk3' @ (op @ e2 @ e2) @ e0) 132.87/17.47 | ('#form4'))), 132.87/17.47 inference('rw_clause', [status(thm)], [zip_derived_cl1183, '4'])). 132.87/17.47 thf(zip_derived_cl256, plain, 132.87/17.47 (![X3 : mworld, X6 : $i, X7 : $i]: 132.87/17.47 (~ ('#form2' @ X3 @ X6 @ X7) 132.87/17.47 | (((!!) @ (^[Y0 : mworld]: 132.87/17.47 (((mrel @ X3 @ Y0) => (qmltpeq @ X6 @ X7 @ Y0)))))))), 132.87/17.47 define([status(thm)])). 132.87/17.47 thf(zip_derived_cl190, plain, 132.87/17.47 (![X3 : mworld, X6 : $i, X7 : $i]: 132.87/17.47 ( ('#form2' @ X3 @ X6 @ X7) 132.87/17.47 | ~ (((!!) @ (^[Y0 : mworld]: 132.87/17.47 (((mrel @ X3 @ Y0) => (qmltpeq @ X6 @ X7 @ Y0)))))))), 132.87/17.47 define([status(thm)])). 132.87/17.47 thf(zip_derived_cl1251, plain, 132.87/17.47 (( ('#form2' @ '#sk3' @ (op @ e2 @ e2) @ e2) 132.87/17.47 | ('#form4') 132.87/17.47 | ('#form2' @ '#sk3' @ (op @ e2 @ e2) @ e0) 132.87/17.47 | ('#form2' @ '#sk3' @ (op @ e0 @ e0) @ e1))), 132.87/17.47 inference('renaming', [status(thm)], 132.87/17.47 [zip_derived_cl1219, zip_derived_cl256, zip_derived_cl190])). 132.87/17.47 thf(zip_derived_cl1173, plain, 132.87/17.47 (( (mbox @ (qmltpeq @ (op @ e2 @ e2) @ e2) @ '#sk3') 132.87/17.47 | ('#form4') 132.87/17.47 | ('#form2' @ '#sk3' @ (op @ e3 @ e3) @ e0) 132.87/17.47 | ('#form2' @ '#sk3' @ (op @ e0 @ e0) @ e1))), 132.87/17.47 inference('lazy_cnf_and', [status(thm)], [zip_derived_cl1141])). 132.87/17.47 thf(zip_derived_cl1211, plain, 132.87/17.47 (( (((!!) @ (^[Y0 : mworld]: 132.87/17.47 (((mrel @ '#sk3' @ Y0) => (qmltpeq @ (op @ e2 @ e2) @ 132.87/17.47 e2 @ Y0)))))) 132.87/17.47 | ('#form2' @ '#sk3' @ (op @ e0 @ e0) @ e1) 132.87/17.47 | ('#form2' @ '#sk3' @ (op @ e3 @ e3) @ e0) 132.87/17.47 | ('#form4'))), 132.87/17.47 inference('rw_clause', [status(thm)], [zip_derived_cl1173, '4'])). 132.87/17.47 thf(zip_derived_cl256, plain, 132.87/17.47 (![X3 : mworld, X6 : $i, X7 : $i]: 132.87/17.47 (~ ('#form2' @ X3 @ X6 @ X7) 132.87/17.47 | (((!!) @ (^[Y0 : mworld]: 132.87/17.47 (((mrel @ X3 @ Y0) => (qmltpeq @ X6 @ X7 @ Y0)))))))), 132.87/17.47 define([status(thm)])). 132.87/17.47 thf(zip_derived_cl190, plain, 132.87/17.47 (![X3 : mworld, X6 : $i, X7 : $i]: 132.87/17.47 ( ('#form2' @ X3 @ X6 @ X7) 132.87/17.47 | ~ (((!!) @ (^[Y0 : mworld]: 132.87/17.47 (((mrel @ X3 @ Y0) => (qmltpeq @ X6 @ X7 @ Y0)))))))), 132.87/17.47 define([status(thm)])). 132.87/17.47 thf(zip_derived_cl1240, plain, 132.87/17.47 (( ('#form2' @ '#sk3' @ (op @ e2 @ e2) @ e2) 132.87/17.47 | ('#form4') 132.87/17.47 | ('#form2' @ '#sk3' @ (op @ e3 @ e3) @ e0) 132.87/17.47 | ('#form2' @ '#sk3' @ (op @ e0 @ e0) @ e1))), 132.87/17.47 inference('renaming', [status(thm)], 132.87/17.47 [zip_derived_cl1211, zip_derived_cl256, zip_derived_cl190])). 132.87/17.47 thf(zip_derived_cl1122, plain, 132.87/17.47 (( (mbox @ (qmltpeq @ (op @ e2 @ e2) @ e2) @ '#sk3') 132.87/17.47 | ('#form4') 132.87/17.47 | ('#form2' @ '#sk3' @ (op @ e1 @ e1) @ e0) 132.87/17.47 | ('#form2' @ '#sk3' @ (op @ e0 @ e0) @ e1))), 132.87/17.47 inference('lazy_cnf_and', [status(thm)], [zip_derived_cl1085])). 132.87/17.47 thf(zip_derived_cl1156, plain, 132.87/17.47 (( (((!!) @ (^[Y0 : mworld]: 132.87/17.47 (((mrel @ '#sk3' @ Y0) => (qmltpeq @ (op @ e2 @ e2) @ 132.87/17.47 e2 @ Y0)))))) 132.87/17.47 | ('#form2' @ '#sk3' @ (op @ e0 @ e0) @ e1) 132.87/17.47 | ('#form2' @ '#sk3' @ (op @ e1 @ e1) @ e0) 132.87/17.47 | ('#form4'))), 132.87/17.47 inference('rw_clause', [status(thm)], [zip_derived_cl1122, '4'])). 132.87/17.47 thf(zip_derived_cl256, plain, 132.87/17.47 (![X3 : mworld, X6 : $i, X7 : $i]: 132.87/17.47 (~ ('#form2' @ X3 @ X6 @ X7) 132.87/17.47 | (((!!) @ (^[Y0 : mworld]: 132.87/17.47 (((mrel @ X3 @ Y0) => (qmltpeq @ X6 @ X7 @ Y0)))))))), 132.87/17.47 define([status(thm)])). 132.87/17.47 thf(zip_derived_cl190, plain, 132.87/17.47 (![X3 : mworld, X6 : $i, X7 : $i]: 132.87/17.47 ( ('#form2' @ X3 @ X6 @ X7) 132.87/17.47 | ~ (((!!) @ (^[Y0 : mworld]: 132.87/17.47 (((mrel @ X3 @ Y0) => (qmltpeq @ X6 @ X7 @ Y0)))))))), 132.87/17.47 define([status(thm)])). 132.87/17.47 thf(zip_derived_cl1195, plain, 132.87/17.47 (( ('#form2' @ '#sk3' @ (op @ e2 @ e2) @ e2) 132.87/17.47 | ('#form4') 132.87/17.47 | ('#form2' @ '#sk3' @ (op @ e1 @ e1) @ e0) 132.87/17.47 | ('#form2' @ '#sk3' @ (op @ e0 @ e0) @ e1))), 132.87/17.47 inference('renaming', [status(thm)], 132.87/17.47 [zip_derived_cl1156, zip_derived_cl256, zip_derived_cl190])). 132.87/17.47 thf(zip_derived_cl1166, plain, 132.87/17.47 (( (mbox @ (qmltpeq @ (op @ e0 @ e0) @ e2) @ '#sk3') 132.87/17.47 | ('#form4') 132.87/17.47 | ('#form2' @ '#sk3' @ (op @ e3 @ e3) @ e0) 132.87/17.47 | ('#form2' @ '#sk3' @ (op @ e3 @ e3) @ e1))), 132.87/17.47 inference('lazy_cnf_and', [status(thm)], [zip_derived_cl1137])). 132.87/17.47 thf(zip_derived_cl1205, plain, 132.87/17.47 (( (((!!) @ (^[Y0 : mworld]: 132.87/17.47 (((mrel @ '#sk3' @ Y0) => (qmltpeq @ (op @ e0 @ e0) @ 132.87/17.47 e2 @ Y0)))))) 132.87/17.47 | ('#form2' @ '#sk3' @ (op @ e3 @ e3) @ e1) 132.87/17.47 | ('#form2' @ '#sk3' @ (op @ e3 @ e3) @ e0) 132.87/17.47 | ('#form4'))), 132.87/17.47 inference('rw_clause', [status(thm)], [zip_derived_cl1166, '4'])). 132.87/17.47 thf(zip_derived_cl256, plain, 132.87/17.47 (![X3 : mworld, X6 : $i, X7 : $i]: 132.87/17.47 (~ ('#form2' @ X3 @ X6 @ X7) 132.87/17.47 | (((!!) @ (^[Y0 : mworld]: 132.87/17.47 (((mrel @ X3 @ Y0) => (qmltpeq @ X6 @ X7 @ Y0)))))))), 132.87/17.47 define([status(thm)])). 132.87/17.47 thf(zip_derived_cl190, plain, 132.87/17.47 (![X3 : mworld, X6 : $i, X7 : $i]: 132.87/17.47 ( ('#form2' @ X3 @ X6 @ X7) 132.87/17.47 | ~ (((!!) @ (^[Y0 : mworld]: 132.87/17.47 (((mrel @ X3 @ Y0) => (qmltpeq @ X6 @ X7 @ Y0)))))))), 132.87/17.47 define([status(thm)])). 132.87/17.47 thf(zip_derived_cl1232, plain, 132.87/17.47 (( ('#form2' @ '#sk3' @ (op @ e0 @ e0) @ e2) 132.87/17.47 | ('#form4') 132.87/17.47 | ('#form2' @ '#sk3' @ (op @ e3 @ e3) @ e0) 132.87/17.47 | ('#form2' @ '#sk3' @ (op @ e3 @ e3) @ e1))), 132.87/17.47 inference('renaming', [status(thm)], 132.87/17.47 [zip_derived_cl1205, zip_derived_cl256, zip_derived_cl190])). 132.87/17.47 thf(zip_derived_cl1103, plain, 132.87/17.47 (( (mbox @ (qmltpeq @ (op @ e0 @ e0) @ e2) @ '#sk3') 132.87/17.47 | ('#form4') 132.87/17.47 | ('#form2' @ '#sk3' @ (op @ e3 @ e3) @ e0) 132.87/17.47 | ('#form2' @ '#sk3' @ (op @ e1 @ e1) @ e1))), 132.87/17.47 inference('lazy_cnf_and', [status(thm)], [zip_derived_cl1073])). 132.87/17.47 thf(zip_derived_cl1140, plain, 132.87/17.47 (( (((!!) @ (^[Y0 : mworld]: 132.87/17.47 (((mrel @ '#sk3' @ Y0) => (qmltpeq @ (op @ e0 @ e0) @ 132.87/17.47 e2 @ Y0)))))) 132.87/17.47 | ('#form2' @ '#sk3' @ (op @ e1 @ e1) @ e1) 132.87/17.47 | ('#form2' @ '#sk3' @ (op @ e3 @ e3) @ e0) 132.87/17.47 | ('#form4'))), 132.87/17.47 inference('rw_clause', [status(thm)], [zip_derived_cl1103, '4'])). 132.87/17.47 thf(zip_derived_cl256, plain, 132.87/17.47 (![X3 : mworld, X6 : $i, X7 : $i]: 132.87/17.47 (~ ('#form2' @ X3 @ X6 @ X7) 132.87/17.47 | (((!!) @ (^[Y0 : mworld]: 132.87/17.47 (((mrel @ X3 @ Y0) => (qmltpeq @ X6 @ X7 @ Y0)))))))), 132.87/17.47 define([status(thm)])). 132.87/17.47 thf(zip_derived_cl190, plain, 132.87/17.47 (![X3 : mworld, X6 : $i, X7 : $i]: 132.87/17.47 ( ('#form2' @ X3 @ X6 @ X7) 132.87/17.47 | ~ (((!!) @ (^[Y0 : mworld]: 132.87/17.47 (((mrel @ X3 @ Y0) => (qmltpeq @ X6 @ X7 @ Y0)))))))), 132.87/17.47 define([status(thm)])). 132.87/17.47 thf(zip_derived_cl1171, plain, 132.87/17.47 (( ('#form2' @ '#sk3' @ (op @ e0 @ e0) @ e2) 132.87/17.47 | ('#form4') 132.87/17.47 | ('#form2' @ '#sk3' @ (op @ e3 @ e3) @ e0) 132.87/17.47 | ('#form2' @ '#sk3' @ (op @ e1 @ e1) @ e1))), 132.87/17.47 inference('renaming', [status(thm)], 132.87/17.47 [zip_derived_cl1140, zip_derived_cl256, zip_derived_cl190])). 132.87/17.47 thf(zip_derived_cl1176, plain, 132.87/17.47 (( (mbox @ (qmltpeq @ (op @ e0 @ e0) @ e2) @ '#sk3') 132.87/17.47 | ('#form4') 132.87/17.47 | ('#form2' @ '#sk3' @ (op @ e2 @ e2) @ e0) 132.87/17.47 | ('#form2' @ '#sk3' @ (op @ e3 @ e3) @ e1))), 132.87/17.47 inference('lazy_cnf_and', [status(thm)], [zip_derived_cl1143])). 132.87/17.47 thf(zip_derived_cl1213, plain, 132.87/17.47 (( (((!!) @ (^[Y0 : mworld]: 132.87/17.47 (((mrel @ '#sk3' @ Y0) => (qmltpeq @ (op @ e0 @ e0) @ 132.87/17.47 e2 @ Y0)))))) 132.87/17.47 | ('#form2' @ '#sk3' @ (op @ e3 @ e3) @ e1) 132.87/17.47 | ('#form2' @ '#sk3' @ (op @ e2 @ e2) @ e0) 132.87/17.47 | ('#form4'))), 132.87/17.47 inference('rw_clause', [status(thm)], [zip_derived_cl1176, '4'])). 132.87/17.47 thf(zip_derived_cl256, plain, 132.87/17.47 (![X3 : mworld, X6 : $i, X7 : $i]: 132.87/17.47 (~ ('#form2' @ X3 @ X6 @ X7) 132.87/17.47 | (((!!) @ (^[Y0 : mworld]: 132.87/17.47 (((mrel @ X3 @ Y0) => (qmltpeq @ X6 @ X7 @ Y0)))))))), 132.87/17.47 define([status(thm)])). 132.87/17.47 thf(zip_derived_cl190, plain, 132.87/17.47 (![X3 : mworld, X6 : $i, X7 : $i]: 132.87/17.47 ( ('#form2' @ X3 @ X6 @ X7) 132.87/17.47 | ~ (((!!) @ (^[Y0 : mworld]: 132.87/17.47 (((mrel @ X3 @ Y0) => (qmltpeq @ X6 @ X7 @ Y0)))))))), 132.87/17.47 define([status(thm)])). 132.87/17.47 thf(zip_derived_cl1243, plain, 132.87/17.47 (( ('#form2' @ '#sk3' @ (op @ e0 @ e0) @ e2) 132.87/17.47 | ('#form4') 132.87/17.47 | ('#form2' @ '#sk3' @ (op @ e2 @ e2) @ e0) 132.87/17.47 | ('#form2' @ '#sk3' @ (op @ e3 @ e3) @ e1))), 132.87/17.47 inference('renaming', [status(thm)], 132.87/17.47 [zip_derived_cl1213, zip_derived_cl256, zip_derived_cl190])). 132.87/17.47 thf(zip_derived_cl1110, plain, 132.87/17.47 (( (mbox @ (qmltpeq @ (op @ e0 @ e0) @ e2) @ '#sk3') 132.87/17.47 | ('#form4') 132.87/17.47 | ('#form2' @ '#sk3' @ (op @ e2 @ e2) @ e0) 132.87/17.47 | ('#form2' @ '#sk3' @ (op @ e1 @ e1) @ e1))), 132.87/17.47 inference('lazy_cnf_and', [status(thm)], [zip_derived_cl1078])). 132.87/17.47 thf(zip_derived_cl1146, plain, 132.87/17.47 (( (((!!) @ (^[Y0 : mworld]: 132.87/17.47 (((mrel @ '#sk3' @ Y0) => (qmltpeq @ (op @ e0 @ e0) @ 132.87/17.47 e2 @ Y0)))))) 132.87/17.47 | ('#form2' @ '#sk3' @ (op @ e1 @ e1) @ e1) 132.87/17.47 | ('#form2' @ '#sk3' @ (op @ e2 @ e2) @ e0) 132.87/17.47 | ('#form4'))), 132.87/17.47 inference('rw_clause', [status(thm)], [zip_derived_cl1110, '4'])). 132.87/17.47 thf(zip_derived_cl256, plain, 132.87/17.47 (![X3 : mworld, X6 : $i, X7 : $i]: 132.87/17.47 (~ ('#form2' @ X3 @ X6 @ X7) 132.87/17.47 | (((!!) @ (^[Y0 : mworld]: 132.87/17.47 (((mrel @ X3 @ Y0) => (qmltpeq @ X6 @ X7 @ Y0)))))))), 132.87/17.47 define([status(thm)])). 132.87/17.47 thf(zip_derived_cl190, plain, 132.87/17.47 (![X3 : mworld, X6 : $i, X7 : $i]: 132.87/17.47 ( ('#form2' @ X3 @ X6 @ X7) 132.87/17.47 | ~ (((!!) @ (^[Y0 : mworld]: 132.87/17.47 (((mrel @ X3 @ Y0) => (qmltpeq @ X6 @ X7 @ Y0)))))))), 132.87/17.47 define([status(thm)])). 132.87/17.47 thf(zip_derived_cl1181, plain, 132.87/17.47 (( ('#form2' @ '#sk3' @ (op @ e0 @ e0) @ e2) 132.87/17.47 | ('#form4') 132.87/17.47 | ('#form2' @ '#sk3' @ (op @ e2 @ e2) @ e0) 132.87/17.47 | ('#form2' @ '#sk3' @ (op @ e1 @ e1) @ e1))), 132.87/17.47 inference('renaming', [status(thm)], 132.87/17.47 [zip_derived_cl1146, zip_derived_cl256, zip_derived_cl190])). 132.87/17.47 thf(zip_derived_cl1115, plain, 132.87/17.47 (( (mbox @ (qmltpeq @ (op @ e0 @ e0) @ e2) @ '#sk3') 132.87/17.47 | ('#form4') 132.87/17.47 | ('#form2' @ '#sk3' @ (op @ e1 @ e1) @ e0) 132.87/17.47 | ('#form2' @ '#sk3' @ (op @ e3 @ e3) @ e1))), 132.87/17.47 inference('lazy_cnf_and', [status(thm)], [zip_derived_cl1081])). 132.87/17.47 thf(zip_derived_cl1150, plain, 132.87/17.47 (( (((!!) @ (^[Y0 : mworld]: 132.87/17.47 (((mrel @ '#sk3' @ Y0) => (qmltpeq @ (op @ e0 @ e0) @ 132.87/17.47 e2 @ Y0)))))) 132.87/17.47 | ('#form2' @ '#sk3' @ (op @ e3 @ e3) @ e1) 132.87/17.47 | ('#form2' @ '#sk3' @ (op @ e1 @ e1) @ e0) 132.87/17.47 | ('#form4'))), 132.87/17.47 inference('rw_clause', [status(thm)], [zip_derived_cl1115, '4'])). 132.87/17.47 thf(zip_derived_cl256, plain, 132.87/17.47 (![X3 : mworld, X6 : $i, X7 : $i]: 132.87/17.47 (~ ('#form2' @ X3 @ X6 @ X7) 132.87/17.47 | (((!!) @ (^[Y0 : mworld]: 132.87/17.47 (((mrel @ X3 @ Y0) => (qmltpeq @ X6 @ X7 @ Y0)))))))), 132.87/17.47 define([status(thm)])). 132.87/17.47 thf(zip_derived_cl190, plain, 132.87/17.47 (![X3 : mworld, X6 : $i, X7 : $i]: 132.87/17.47 ( ('#form2' @ X3 @ X6 @ X7) 132.87/17.47 | ~ (((!!) @ (^[Y0 : mworld]: 132.87/17.47 (((mrel @ X3 @ Y0) => (qmltpeq @ X6 @ X7 @ Y0)))))))), 132.87/17.47 define([status(thm)])). 132.87/17.47 thf(zip_derived_cl1187, plain, 132.87/17.47 (( ('#form2' @ '#sk3' @ (op @ e0 @ e0) @ e2) 132.87/17.47 | ('#form4') 132.87/17.47 | ('#form2' @ '#sk3' @ (op @ e1 @ e1) @ e0) 132.87/17.47 | ('#form2' @ '#sk3' @ (op @ e3 @ e3) @ e1))), 132.87/17.47 inference('renaming', [status(thm)], 132.87/17.47 [zip_derived_cl1150, zip_derived_cl256, zip_derived_cl190])). 132.87/17.47 thf(zip_derived_cl1052, plain, 132.87/17.47 (( (mbox @ (qmltpeq @ (op @ e0 @ e0) @ e2) @ '#sk3') 132.87/17.47 | ('#form4') 132.87/17.47 | ('#form2' @ '#sk3' @ (op @ e1 @ e1) @ e0) 132.87/17.47 | ('#form2' @ '#sk3' @ (op @ e1 @ e1) @ e1))), 132.87/17.47 inference('lazy_cnf_and', [status(thm)], [zip_derived_cl1024])). 132.87/17.47 thf(zip_derived_cl1084, plain, 132.87/17.47 (( (((!!) @ (^[Y0 : mworld]: 132.87/17.47 (((mrel @ '#sk3' @ Y0) => (qmltpeq @ (op @ e0 @ e0) @ 132.87/17.47 e2 @ Y0)))))) 132.87/17.47 | ('#form2' @ '#sk3' @ (op @ e1 @ e1) @ e1) 132.87/17.47 | ('#form2' @ '#sk3' @ (op @ e1 @ e1) @ e0) 132.87/17.47 | ('#form4'))), 132.87/17.47 inference('rw_clause', [status(thm)], [zip_derived_cl1052, '4'])). 132.87/17.47 thf(zip_derived_cl256, plain, 132.87/17.47 (![X3 : mworld, X6 : $i, X7 : $i]: 132.87/17.47 (~ ('#form2' @ X3 @ X6 @ X7) 132.87/17.47 | (((!!) @ (^[Y0 : mworld]: 132.87/17.47 (((mrel @ X3 @ Y0) => (qmltpeq @ X6 @ X7 @ Y0)))))))), 132.87/17.47 define([status(thm)])). 132.87/17.47 thf(zip_derived_cl190, plain, 132.87/17.47 (![X3 : mworld, X6 : $i, X7 : $i]: 132.87/17.47 ( ('#form2' @ X3 @ X6 @ X7) 132.87/17.47 | ~ (((!!) @ (^[Y0 : mworld]: 132.87/17.47 (((mrel @ X3 @ Y0) => (qmltpeq @ X6 @ X7 @ Y0)))))))), 132.87/17.47 define([status(thm)])). 132.87/17.47 thf(zip_derived_cl1120, plain, 132.87/17.47 (( ('#form2' @ '#sk3' @ (op @ e0 @ e0) @ e2) 132.87/17.47 | ('#form4') 132.87/17.47 | ('#form2' @ '#sk3' @ (op @ e1 @ e1) @ e0) 132.87/17.47 | ('#form2' @ '#sk3' @ (op @ e1 @ e1) @ e1))), 132.87/17.47 inference('renaming', [status(thm)], 132.87/17.47 [zip_derived_cl1084, zip_derived_cl256, zip_derived_cl190])). 132.87/17.47 thf(zip_derived_cl1178, plain, 132.87/17.47 (( (mbox @ (qmltpeq @ (op @ e0 @ e0) @ e2) @ '#sk3') 132.87/17.47 | ('#form4') 132.87/17.47 | ('#form2' @ '#sk3' @ (op @ e2 @ e2) @ e0) 132.87/17.47 | ('#form2' @ '#sk3' @ (op @ e2 @ e2) @ e1))), 132.87/17.47 inference('lazy_cnf_and', [status(thm)], [zip_derived_cl1144])). 132.87/17.47 thf(zip_derived_cl1215, plain, 132.87/17.47 (( (((!!) @ (^[Y0 : mworld]: 132.87/17.47 (((mrel @ '#sk3' @ Y0) => (qmltpeq @ (op @ e0 @ e0) @ 132.87/17.47 e2 @ Y0)))))) 132.87/17.47 | ('#form2' @ '#sk3' @ (op @ e2 @ e2) @ e1) 132.87/17.47 | ('#form2' @ '#sk3' @ (op @ e2 @ e2) @ e0) 132.87/17.47 | ('#form4'))), 132.87/17.47 inference('rw_clause', [status(thm)], [zip_derived_cl1178, '4'])). 132.87/17.47 thf(zip_derived_cl256, plain, 132.87/17.47 (![X3 : mworld, X6 : $i, X7 : $i]: 132.87/17.47 (~ ('#form2' @ X3 @ X6 @ X7) 132.87/17.47 | (((!!) @ (^[Y0 : mworld]: 132.87/17.47 (((mrel @ X3 @ Y0) => (qmltpeq @ X6 @ X7 @ Y0)))))))), 132.87/17.47 define([status(thm)])). 132.87/17.47 thf(zip_derived_cl190, plain, 132.87/17.47 (![X3 : mworld, X6 : $i, X7 : $i]: 132.87/17.47 ( ('#form2' @ X3 @ X6 @ X7) 132.87/17.47 | ~ (((!!) @ (^[Y0 : mworld]: 132.87/17.47 (((mrel @ X3 @ Y0) => (qmltpeq @ X6 @ X7 @ Y0)))))))), 132.87/17.47 define([status(thm)])). 132.87/17.47 thf(zip_derived_cl1246, plain, 132.87/17.47 (( ('#form2' @ '#sk3' @ (op @ e0 @ e0) @ e2) 132.87/17.47 | ('#form4') 132.87/17.47 | ('#form2' @ '#sk3' @ (op @ e2 @ e2) @ e0) 132.87/17.47 | ('#form2' @ '#sk3' @ (op @ e2 @ e2) @ e1))), 132.87/17.47 inference('renaming', [status(thm)], 132.87/17.47 [zip_derived_cl1215, zip_derived_cl256, zip_derived_cl190])). 132.87/17.47 thf(zip_derived_cl1168, plain, 132.87/17.47 (( (mbox @ (qmltpeq @ (op @ e0 @ e0) @ e2) @ '#sk3') 132.87/17.47 | ('#form4') 132.87/17.47 | ('#form2' @ '#sk3' @ (op @ e3 @ e3) @ e0) 132.87/17.47 | ('#form2' @ '#sk3' @ (op @ e2 @ e2) @ e1))), 132.87/17.47 inference('lazy_cnf_and', [status(thm)], [zip_derived_cl1138])). 132.87/17.47 thf(zip_derived_cl1207, plain, 132.87/17.47 (( (((!!) @ (^[Y0 : mworld]: 132.87/17.47 (((mrel @ '#sk3' @ Y0) => (qmltpeq @ (op @ e0 @ e0) @ 132.87/17.47 e2 @ Y0)))))) 132.87/17.47 | ('#form2' @ '#sk3' @ (op @ e2 @ e2) @ e1) 132.87/17.47 | ('#form2' @ '#sk3' @ (op @ e3 @ e3) @ e0) 132.87/17.47 | ('#form4'))), 132.87/17.47 inference('rw_clause', [status(thm)], [zip_derived_cl1168, '4'])). 132.87/17.47 thf(zip_derived_cl256, plain, 132.87/17.47 (![X3 : mworld, X6 : $i, X7 : $i]: 132.87/17.47 (~ ('#form2' @ X3 @ X6 @ X7) 132.87/17.47 | (((!!) @ (^[Y0 : mworld]: 132.87/17.47 (((mrel @ X3 @ Y0) => (qmltpeq @ X6 @ X7 @ Y0)))))))), 132.87/17.47 define([status(thm)])). 132.87/17.47 thf(zip_derived_cl190, plain, 132.87/17.47 (![X3 : mworld, X6 : $i, X7 : $i]: 132.87/17.47 ( ('#form2' @ X3 @ X6 @ X7) 132.87/17.47 | ~ (((!!) @ (^[Y0 : mworld]: 132.87/17.47 (((mrel @ X3 @ Y0) => (qmltpeq @ X6 @ X7 @ Y0)))))))), 132.87/17.47 define([status(thm)])). 132.87/17.47 thf(zip_derived_cl1235, plain, 132.87/17.47 (( ('#form2' @ '#sk3' @ (op @ e0 @ e0) @ e2) 132.87/17.47 | ('#form4') 132.87/17.47 | ('#form2' @ '#sk3' @ (op @ e3 @ e3) @ e0) 132.87/17.47 | ('#form2' @ '#sk3' @ (op @ e2 @ e2) @ e1))), 132.87/17.47 inference('renaming', [status(thm)], 132.87/17.47 [zip_derived_cl1207, zip_derived_cl256, zip_derived_cl190])). 132.87/17.47 thf(zip_derived_cl1117, plain, 132.87/17.47 (( (mbox @ (qmltpeq @ (op @ e0 @ e0) @ e2) @ '#sk3') 132.87/17.47 | ('#form4') 132.87/17.47 | ('#form2' @ '#sk3' @ (op @ e1 @ e1) @ e0) 132.87/17.47 | ('#form2' @ '#sk3' @ (op @ e2 @ e2) @ e1))), 132.87/17.47 inference('lazy_cnf_and', [status(thm)], [zip_derived_cl1082])). 132.87/17.47 thf(zip_derived_cl1152, plain, 132.87/17.47 (( (((!!) @ (^[Y0 : mworld]: 132.87/17.47 (((mrel @ '#sk3' @ Y0) => (qmltpeq @ (op @ e0 @ e0) @ 132.87/17.47 e2 @ Y0)))))) 132.87/17.47 | ('#form2' @ '#sk3' @ (op @ e2 @ e2) @ e1) 132.87/17.47 | ('#form2' @ '#sk3' @ (op @ e1 @ e1) @ e0) 132.87/17.47 | ('#form4'))), 132.87/17.47 inference('rw_clause', [status(thm)], [zip_derived_cl1117, '4'])). 132.87/17.47 thf(zip_derived_cl256, plain, 132.87/17.47 (![X3 : mworld, X6 : $i, X7 : $i]: 132.87/17.47 (~ ('#form2' @ X3 @ X6 @ X7) 132.87/17.47 | (((!!) @ (^[Y0 : mworld]: 132.87/17.47 (((mrel @ X3 @ Y0) => (qmltpeq @ X6 @ X7 @ Y0)))))))), 132.87/17.47 define([status(thm)])). 132.87/17.47 thf(zip_derived_cl190, plain, 132.87/17.47 (![X3 : mworld, X6 : $i, X7 : $i]: 132.87/17.47 ( ('#form2' @ X3 @ X6 @ X7) 132.87/17.47 | ~ (((!!) @ (^[Y0 : mworld]: 132.87/17.47 (((mrel @ X3 @ Y0) => (qmltpeq @ X6 @ X7 @ Y0)))))))), 132.87/17.47 define([status(thm)])). 132.87/17.47 thf(zip_derived_cl1190, plain, 132.87/17.47 (( ('#form2' @ '#sk3' @ (op @ e0 @ e0) @ e2) 132.87/17.47 | ('#form4') 132.87/17.47 | ('#form2' @ '#sk3' @ (op @ e1 @ e1) @ e0) 132.87/17.47 | ('#form2' @ '#sk3' @ (op @ e2 @ e2) @ e1))), 132.87/17.47 inference('renaming', [status(thm)], 132.87/17.47 [zip_derived_cl1152, zip_derived_cl256, zip_derived_cl190])). 132.87/17.47 thf(zip_derived_cl1048, plain, 132.87/17.47 (( (mbox @ (qmltpeq @ (op @ e0 @ e0) @ e2) @ '#sk3') 132.87/17.47 | ('#form4') 132.87/17.47 | ('#form2' @ '#sk3' @ (op @ e2 @ e2) @ e0) 132.87/17.47 | ('#form2' @ '#sk3' @ (op @ e0 @ e0) @ e1))), 132.87/17.47 inference('lazy_cnf_and', [status(thm)], [zip_derived_cl1021])). 132.87/17.47 thf(zip_derived_cl1080, plain, 132.87/17.47 (( (((!!) @ (^[Y0 : mworld]: 132.87/17.47 (((mrel @ '#sk3' @ Y0) => (qmltpeq @ (op @ e0 @ e0) @ 132.87/17.47 e2 @ Y0)))))) 132.87/17.47 | ('#form2' @ '#sk3' @ (op @ e0 @ e0) @ e1) 132.87/17.47 | ('#form2' @ '#sk3' @ (op @ e2 @ e2) @ e0) 132.87/17.47 | ('#form4'))), 132.87/17.47 inference('rw_clause', [status(thm)], [zip_derived_cl1048, '4'])). 132.87/17.47 thf(zip_derived_cl256, plain, 132.87/17.47 (![X3 : mworld, X6 : $i, X7 : $i]: 132.87/17.47 (~ ('#form2' @ X3 @ X6 @ X7) 132.87/17.47 | (((!!) @ (^[Y0 : mworld]: 132.87/17.47 (((mrel @ X3 @ Y0) => (qmltpeq @ X6 @ X7 @ Y0)))))))), 132.87/17.47 define([status(thm)])). 132.87/17.47 thf(zip_derived_cl190, plain, 132.87/17.47 (![X3 : mworld, X6 : $i, X7 : $i]: 132.87/17.47 ( ('#form2' @ X3 @ X6 @ X7) 132.87/17.47 | ~ (((!!) @ (^[Y0 : mworld]: 132.87/17.47 (((mrel @ X3 @ Y0) => (qmltpeq @ X6 @ X7 @ Y0)))))))), 132.87/17.47 define([status(thm)])). 132.87/17.47 thf(zip_derived_cl1113, plain, 132.87/17.47 (( ('#form2' @ '#sk3' @ (op @ e0 @ e0) @ e2) 132.87/17.47 | ('#form4') 132.87/17.47 | ('#form2' @ '#sk3' @ (op @ e2 @ e2) @ e0) 132.87/17.47 | ('#form2' @ '#sk3' @ (op @ e0 @ e0) @ e1))), 132.87/17.47 inference('renaming', [status(thm)], 132.87/17.47 [zip_derived_cl1080, zip_derived_cl256, zip_derived_cl190])). 132.87/17.47 thf(zip_derived_cl1043, plain, 132.87/17.47 (( (mbox @ (qmltpeq @ (op @ e0 @ e0) @ e2) @ '#sk3') 132.87/17.47 | ('#form4') 132.87/17.47 | ('#form2' @ '#sk3' @ (op @ e3 @ e3) @ e0) 132.87/17.47 | ('#form2' @ '#sk3' @ (op @ e0 @ e0) @ e1))), 132.87/17.47 inference('lazy_cnf_and', [status(thm)], [zip_derived_cl1017])). 132.87/17.47 thf(zip_derived_cl1075, plain, 132.87/17.47 (( (((!!) @ (^[Y0 : mworld]: 132.87/17.47 (((mrel @ '#sk3' @ Y0) => (qmltpeq @ (op @ e0 @ e0) @ 132.87/17.47 e2 @ Y0)))))) 132.87/17.47 | ('#form2' @ '#sk3' @ (op @ e0 @ e0) @ e1) 132.87/17.47 | ('#form2' @ '#sk3' @ (op @ e3 @ e3) @ e0) 132.87/17.47 | ('#form4'))), 132.87/17.47 inference('rw_clause', [status(thm)], [zip_derived_cl1043, '4'])). 132.87/17.47 thf(zip_derived_cl256, plain, 132.87/17.47 (![X3 : mworld, X6 : $i, X7 : $i]: 132.87/17.47 (~ ('#form2' @ X3 @ X6 @ X7) 132.87/17.47 | (((!!) @ (^[Y0 : mworld]: 132.87/17.47 (((mrel @ X3 @ Y0) => (qmltpeq @ X6 @ X7 @ Y0)))))))), 132.87/17.47 define([status(thm)])). 132.87/17.47 thf(zip_derived_cl190, plain, 132.87/17.47 (![X3 : mworld, X6 : $i, X7 : $i]: 132.87/17.47 ( ('#form2' @ X3 @ X6 @ X7) 132.87/17.47 | ~ (((!!) @ (^[Y0 : mworld]: 132.87/17.47 (((mrel @ X3 @ Y0) => (qmltpeq @ X6 @ X7 @ Y0)))))))), 132.87/17.47 define([status(thm)])). 132.87/17.47 thf(zip_derived_cl1106, plain, 132.87/17.47 (( ('#form2' @ '#sk3' @ (op @ e0 @ e0) @ e2) 132.87/17.47 | ('#form4') 132.87/17.47 | ('#form2' @ '#sk3' @ (op @ e3 @ e3) @ e0) 132.87/17.47 | ('#form2' @ '#sk3' @ (op @ e0 @ e0) @ e1))), 132.87/17.47 inference('renaming', [status(thm)], 132.87/17.47 [zip_derived_cl1075, zip_derived_cl256, zip_derived_cl190])). 132.87/17.47 thf(zip_derived_cl1000, plain, 132.87/17.47 (( (mbox @ (qmltpeq @ (op @ e0 @ e0) @ e2) @ '#sk3') 132.87/17.47 | ('#form4') 132.87/17.47 | ('#form2' @ '#sk3' @ (op @ e1 @ e1) @ e0) 132.87/17.47 | ('#form2' @ '#sk3' @ (op @ e0 @ e0) @ e1))), 132.87/17.47 inference('lazy_cnf_and', [status(thm)], [zip_derived_cl976])). 132.87/17.47 thf(zip_derived_cl1026, plain, 132.87/17.47 (( (((!!) @ (^[Y0 : mworld]: 132.87/17.47 (((mrel @ '#sk3' @ Y0) => (qmltpeq @ (op @ e0 @ e0) @ 132.87/17.47 e2 @ Y0)))))) 132.87/17.47 | ('#form2' @ '#sk3' @ (op @ e0 @ e0) @ e1) 132.87/17.47 | ('#form2' @ '#sk3' @ (op @ e1 @ e1) @ e0) 132.87/17.47 | ('#form4'))), 132.87/17.47 inference('rw_clause', [status(thm)], [zip_derived_cl1000, '4'])). 132.87/17.47 thf(zip_derived_cl256, plain, 132.87/17.47 (![X3 : mworld, X6 : $i, X7 : $i]: 132.87/17.47 (~ ('#form2' @ X3 @ X6 @ X7) 132.87/17.47 | (((!!) @ (^[Y0 : mworld]: 132.87/17.47 (((mrel @ X3 @ Y0) => (qmltpeq @ X6 @ X7 @ Y0)))))))), 132.87/17.47 define([status(thm)])). 132.87/17.47 thf(zip_derived_cl190, plain, 132.87/17.47 (![X3 : mworld, X6 : $i, X7 : $i]: 132.87/17.47 ( ('#form2' @ X3 @ X6 @ X7) 132.87/17.47 | ~ (((!!) @ (^[Y0 : mworld]: 132.87/17.47 (((mrel @ X3 @ Y0) => (qmltpeq @ X6 @ X7 @ Y0)))))))), 132.87/17.47 define([status(thm)])). 132.87/17.47 thf(zip_derived_cl1055, plain, 132.87/17.47 (( ('#form2' @ '#sk3' @ (op @ e0 @ e0) @ e2) 132.87/17.47 | ('#form4') 132.87/17.47 | ('#form2' @ '#sk3' @ (op @ e1 @ e1) @ e0) 132.87/17.47 | ('#form2' @ '#sk3' @ (op @ e0 @ e0) @ e1))), 132.87/17.47 inference('renaming', [status(thm)], 132.87/17.47 [zip_derived_cl1026, zip_derived_cl256, zip_derived_cl190])). 132.87/17.47 thf(zip_derived_cl819, plain, 132.87/17.47 (( (mbox @ (qmltpeq @ (op @ e0 @ e0) @ e0) @ '#sk3') 132.87/17.47 | (((mor @ 132.87/17.47 (mand @ (mbox @ (qmltpeq @ (op @ e0 @ e0) @ e2)) @ 132.87/17.47 (mand @ (mbox @ (qmltpeq @ (op @ e1 @ e1) @ e2)) @ 132.87/17.47 (mand @ (mbox @ (qmltpeq @ (op @ e2 @ e2) @ e2)) @ 132.87/17.47 (mbox @ (qmltpeq @ (op @ e3 @ e3) @ e2))))) @ 132.87/17.47 (mand @ (mbox @ (qmltpeq @ (op @ e0 @ e0) @ e3)) @ 132.87/17.47 (mand @ (mbox @ (qmltpeq @ (op @ e1 @ e1) @ e3)) @ 132.87/17.47 (mand @ (mbox @ (qmltpeq @ (op @ e2 @ e2) @ e3)) @ 132.87/17.47 (mbox @ (qmltpeq @ (op @ e3 @ e3) @ e3))))) @ 132.87/17.47 '#sk3') | (mand @ (mbox @ (qmltpeq @ (op @ e0 @ e0) @ e1)) @ 132.87/17.47 (mand @ (mbox @ (qmltpeq @ (op @ e1 @ e1) @ e1)) @ 132.87/17.47 (mand @ (mbox @ (qmltpeq @ (op @ e2 @ e2) @ e1)) @ 132.87/17.47 (mbox @ (qmltpeq @ (op @ e3 @ e3) @ e1)))) @ 132.87/17.47 '#sk3'))))), 132.87/17.47 inference('lazy_cnf_and', [status(thm)], [zip_derived_cl816])). 132.87/17.47 thf(zip_derived_cl823, plain, 132.87/17.47 (( (((!!) @ (^[Y0 : mworld]: 132.87/17.47 (((mrel @ '#sk3' @ Y0) => (qmltpeq @ (op @ e0 @ e0) @ 132.87/17.47 e0 @ Y0)))))) 132.87/17.47 | (((mor @ 132.87/17.47 (mand @ (mbox @ (qmltpeq @ (op @ e0 @ e0) @ e2)) @ 132.87/17.47 (mand @ (mbox @ (qmltpeq @ (op @ e1 @ e1) @ e2)) @ 132.87/17.47 (mand @ (mbox @ (qmltpeq @ (op @ e2 @ e2) @ e2)) @ 132.87/17.47 (mbox @ (qmltpeq @ (op @ e3 @ e3) @ e2))))) @ 132.87/17.47 (mand @ (mbox @ (qmltpeq @ (op @ e0 @ e0) @ e3)) @ 132.87/17.47 (mand @ (mbox @ (qmltpeq @ (op @ e1 @ e1) @ e3)) @ 132.87/17.47 (mand @ (mbox @ (qmltpeq @ (op @ e2 @ e2) @ e3)) @ 132.87/17.47 (mbox @ (qmltpeq @ (op @ e3 @ e3) @ e3))))) @ 132.87/17.47 '#sk3') | (mand @ (mbox @ (qmltpeq @ (op @ e0 @ e0) @ e1)) @ 132.87/17.47 (mand @ (mbox @ (qmltpeq @ (op @ e1 @ e1) @ e1)) @ 132.87/17.47 (mand @ (mbox @ (qmltpeq @ (op @ e2 @ e2) @ e1)) @ 132.87/17.47 (mbox @ (qmltpeq @ (op @ e3 @ e3) @ e1)))) @ 132.87/17.47 '#sk3'))))), 132.87/17.47 inference('rw_clause', [status(thm)], [zip_derived_cl819, '4'])). 132.87/17.47 thf(zip_derived_cl256, plain, 132.87/17.47 (![X3 : mworld, X6 : $i, X7 : $i]: 132.87/17.47 (~ ('#form2' @ X3 @ X6 @ X7) 132.87/17.47 | (((!!) @ (^[Y0 : mworld]: 132.87/17.47 (((mrel @ X3 @ Y0) => (qmltpeq @ X6 @ X7 @ Y0)))))))), 132.87/17.47 define([status(thm)])). 132.87/17.47 thf(zip_derived_cl190, plain, 132.87/17.47 (![X3 : mworld, X6 : $i, X7 : $i]: 132.87/17.47 ( ('#form2' @ X3 @ X6 @ X7) 132.87/17.47 | ~ (((!!) @ (^[Y0 : mworld]: 132.87/17.47 (((mrel @ X3 @ Y0) => (qmltpeq @ X6 @ X7 @ Y0)))))))), 132.87/17.47 define([status(thm)])). 132.87/17.47 thf(zip_derived_cl828, plain, 132.87/17.47 (( ('#form2' @ '#sk3' @ (op @ e0 @ e0) @ e0) 132.87/17.47 | (((mor @ 132.87/17.47 (mand @ (mbox @ (qmltpeq @ (op @ e0 @ e0) @ e2)) @ 132.87/17.47 (mand @ (mbox @ (qmltpeq @ (op @ e1 @ e1) @ e2)) @ 132.87/17.47 (mand @ (mbox @ (qmltpeq @ (op @ e2 @ e2) @ e2)) @ 132.87/17.47 (mbox @ (qmltpeq @ (op @ e3 @ e3) @ e2))))) @ 132.87/17.47 (mand @ (mbox @ (qmltpeq @ (op @ e0 @ e0) @ e3)) @ 132.87/17.47 (mand @ (mbox @ (qmltpeq @ (op @ e1 @ e1) @ e3)) @ 132.87/17.47 (mand @ (mbox @ (qmltpeq @ (op @ e2 @ e2) @ e3)) @ 132.87/17.47 (mbox @ (qmltpeq @ (op @ e3 @ e3) @ e3))))) @ 132.87/17.47 '#sk3') | (mand @ (mbox @ (qmltpeq @ (op @ e0 @ e0) @ e1)) @ 132.87/17.47 (mand @ (mbox @ (qmltpeq @ (op @ e1 @ e1) @ e1)) @ 132.87/17.47 (mand @ (mbox @ (qmltpeq @ (op @ e2 @ e2) @ e1)) @ 132.87/17.47 (mbox @ (qmltpeq @ (op @ e3 @ e3) @ e1)))) @ 132.87/17.47 '#sk3'))))), 132.87/17.47 inference('renaming', [status(thm)], 132.87/17.47 [zip_derived_cl823, zip_derived_cl256, zip_derived_cl190])). 132.87/17.47 thf(zip_derived_cl834, plain, 132.87/17.47 (( (mor @ 132.87/17.47 (mand @ (mbox @ (qmltpeq @ (op @ e0 @ e0) @ e2)) @ 132.87/17.47 (mand @ (mbox @ (qmltpeq @ (op @ e1 @ e1) @ e2)) @ 132.87/17.47 (mand @ (mbox @ (qmltpeq @ (op @ e2 @ e2) @ e2)) @ 132.87/17.47 (mbox @ (qmltpeq @ (op @ e3 @ e3) @ e2))))) @ 132.87/17.47 (mand @ (mbox @ (qmltpeq @ (op @ e0 @ e0) @ e3)) @ 132.87/17.47 (mand @ (mbox @ (qmltpeq @ (op @ e1 @ e1) @ e3)) @ 132.87/17.47 (mand @ (mbox @ (qmltpeq @ (op @ e2 @ e2) @ e3)) @ 132.87/17.47 (mbox @ (qmltpeq @ (op @ e3 @ e3) @ e3))))) @ 132.87/17.47 '#sk3') 132.87/17.47 | (mand @ (mbox @ (qmltpeq @ (op @ e0 @ e0) @ e1)) @ 132.87/17.47 (mand @ (mbox @ (qmltpeq @ (op @ e1 @ e1) @ e1)) @ 132.87/17.47 (mand @ (mbox @ (qmltpeq @ (op @ e2 @ e2) @ e1)) @ 132.87/17.47 (mbox @ (qmltpeq @ (op @ e3 @ e3) @ e1)))) @ 132.87/17.47 '#sk3') 132.87/17.47 | ('#form2' @ '#sk3' @ (op @ e0 @ e0) @ e0))), 132.87/17.47 inference('lazy_cnf_or', [status(thm)], [zip_derived_cl828])). 132.87/17.47 thf(zip_derived_cl841, plain, 132.87/17.47 (( (((mand @ (mbox @ (qmltpeq @ (op @ e0 @ e0) @ e3)) @ 132.87/17.47 (mand @ (mbox @ (qmltpeq @ (op @ e1 @ e1) @ e3)) @ 132.87/17.47 (mand @ (mbox @ (qmltpeq @ (op @ e2 @ e2) @ e3)) @ 132.87/17.47 (mbox @ (qmltpeq @ (op @ e3 @ e3) @ e3)))) @ 132.87/17.47 '#sk3') | (mand @ (mbox @ (qmltpeq @ (op @ e0 @ e0) @ e2)) @ 132.87/17.47 (mand @ (mbox @ (qmltpeq @ (op @ e1 @ e1) @ e2)) @ 132.87/17.47 (mand @ (mbox @ (qmltpeq @ (op @ e2 @ e2) @ e2)) @ 132.87/17.47 (mbox @ (qmltpeq @ (op @ e3 @ e3) @ e2)))) @ 132.87/17.47 '#sk3'))) 132.87/17.47 | ('#form2' @ '#sk3' @ (op @ e0 @ e0) @ e0) 132.87/17.47 | (mand @ (mbox @ (qmltpeq @ (op @ e0 @ e0) @ e1)) @ 132.87/17.47 (mand @ (mbox @ (qmltpeq @ (op @ e1 @ e1) @ e1)) @ 132.87/17.47 (mand @ (mbox @ (qmltpeq @ (op @ e2 @ e2) @ e1)) @ 132.87/17.47 (mbox @ (qmltpeq @ (op @ e3 @ e3) @ e1)))) @ 132.87/17.47 '#sk3'))), 132.87/17.47 inference('rw_clause', [status(thm)], [zip_derived_cl834, '10'])). 132.87/17.47 thf(zip_derived_cl849, plain, 132.87/17.47 (( (((mand @ (mbox @ (qmltpeq @ (op @ e1 @ e1) @ e1)) @ 132.87/17.47 (mand @ (mbox @ (qmltpeq @ (op @ e2 @ e2) @ e1)) @ 132.87/17.47 (mbox @ (qmltpeq @ (op @ e3 @ e3) @ e1))) @ 132.87/17.47 '#sk3') & (mbox @ (qmltpeq @ (op @ e0 @ e0) @ e1) @ '#sk3'))) 132.87/17.47 | ('#form2' @ '#sk3' @ (op @ e0 @ e0) @ e0) 132.87/17.47 | (((mand @ (mbox @ (qmltpeq @ (op @ e0 @ e0) @ e3)) @ 132.87/17.47 (mand @ (mbox @ (qmltpeq @ (op @ e1 @ e1) @ e3)) @ 132.87/17.47 (mand @ (mbox @ (qmltpeq @ (op @ e2 @ e2) @ e3)) @ 132.87/17.47 (mbox @ (qmltpeq @ (op @ e3 @ e3) @ e3)))) @ 132.87/17.47 '#sk3') | (mand @ (mbox @ (qmltpeq @ (op @ e0 @ e0) @ e2)) @ 132.87/17.47 (mand @ (mbox @ (qmltpeq @ (op @ e1 @ e1) @ e2)) @ 132.87/17.47 (mand @ (mbox @ (qmltpeq @ (op @ e2 @ e2) @ e2)) @ 132.87/17.47 (mbox @ (qmltpeq @ (op @ e3 @ e3) @ e2)))) @ 132.87/17.47 '#sk3'))))), 132.87/17.47 inference('rw_clause', [status(thm)], [zip_derived_cl841, '3'])). 132.87/17.47 thf(zip_derived_cl857, plain, 132.87/17.47 (( (mand @ (mbox @ (qmltpeq @ (op @ e1 @ e1) @ e1)) @ 132.87/17.47 (mand @ (mbox @ (qmltpeq @ (op @ e2 @ e2) @ e1)) @ 132.87/17.47 (mbox @ (qmltpeq @ (op @ e3 @ e3) @ e1))) @ 132.87/17.47 '#sk3') 132.87/17.47 | (((mand @ (mbox @ (qmltpeq @ (op @ e0 @ e0) @ e3)) @ 132.87/17.47 (mand @ (mbox @ (qmltpeq @ (op @ e1 @ e1) @ e3)) @ 132.87/17.47 (mand @ (mbox @ (qmltpeq @ (op @ e2 @ e2) @ e3)) @ 132.87/17.47 (mbox @ (qmltpeq @ (op @ e3 @ e3) @ e3)))) @ 132.87/17.47 '#sk3') | (mand @ (mbox @ (qmltpeq @ (op @ e0 @ e0) @ e2)) @ 132.87/17.47 (mand @ (mbox @ (qmltpeq @ (op @ e1 @ e1) @ e2)) @ 132.87/17.47 (mand @ (mbox @ (qmltpeq @ (op @ e2 @ e2) @ e2)) @ 132.87/17.47 (mbox @ (qmltpeq @ (op @ e3 @ e3) @ e2)))) @ 132.87/17.47 '#sk3'))) 132.87/17.47 | ('#form2' @ '#sk3' @ (op @ e0 @ e0) @ e0))), 132.87/17.47 inference('lazy_cnf_and', [status(thm)], [zip_derived_cl849])). 132.87/17.47 thf(zip_derived_cl866, plain, 132.87/17.47 (( (((mand @ (mbox @ (qmltpeq @ (op @ e2 @ e2) @ e1)) @ 132.87/17.47 (mbox @ (qmltpeq @ (op @ e3 @ e3) @ e1)) @ '#sk3') & (mbox @ 132.87/17.47 (qmltpeq @ (op @ e1 @ e1) @ e1) @ '#sk3'))) 132.87/17.47 | ('#form2' @ '#sk3' @ (op @ e0 @ e0) @ e0) 132.87/17.47 | (((mand @ (mbox @ (qmltpeq @ (op @ e0 @ e0) @ e3)) @ 132.87/17.47 (mand @ (mbox @ (qmltpeq @ (op @ e1 @ e1) @ e3)) @ 132.87/17.47 (mand @ (mbox @ (qmltpeq @ (op @ e2 @ e2) @ e3)) @ 132.87/17.47 (mbox @ (qmltpeq @ (op @ e3 @ e3) @ e3)))) @ 132.87/17.47 '#sk3') | (mand @ (mbox @ (qmltpeq @ (op @ e0 @ e0) @ e2)) @ 132.87/17.47 (mand @ (mbox @ (qmltpeq @ (op @ e1 @ e1) @ e2)) @ 132.87/17.47 (mand @ (mbox @ (qmltpeq @ (op @ e2 @ e2) @ e2)) @ 132.87/17.47 (mbox @ (qmltpeq @ (op @ e3 @ e3) @ e2)))) @ 132.87/17.47 '#sk3'))))), 132.87/17.47 inference('rw_clause', [status(thm)], [zip_derived_cl857, '3'])). 132.87/17.47 thf(zip_derived_cl876, plain, 132.87/17.47 (( (mand @ (mbox @ (qmltpeq @ (op @ e2 @ e2) @ e1)) @ 132.87/17.47 (mbox @ (qmltpeq @ (op @ e3 @ e3) @ e1)) @ '#sk3') 132.87/17.47 | (((mand @ (mbox @ (qmltpeq @ (op @ e0 @ e0) @ e3)) @ 132.87/17.47 (mand @ (mbox @ (qmltpeq @ (op @ e1 @ e1) @ e3)) @ 132.87/17.47 (mand @ (mbox @ (qmltpeq @ (op @ e2 @ e2) @ e3)) @ 132.87/17.47 (mbox @ (qmltpeq @ (op @ e3 @ e3) @ e3)))) @ 132.87/17.47 '#sk3') | (mand @ (mbox @ (qmltpeq @ (op @ e0 @ e0) @ e2)) @ 132.87/17.47 (mand @ (mbox @ (qmltpeq @ (op @ e1 @ e1) @ e2)) @ 132.87/17.47 (mand @ (mbox @ (qmltpeq @ (op @ e2 @ e2) @ e2)) @ 132.87/17.47 (mbox @ (qmltpeq @ (op @ e3 @ e3) @ e2)))) @ 132.87/17.47 '#sk3'))) 132.87/17.47 | ('#form2' @ '#sk3' @ (op @ e0 @ e0) @ e0))), 132.87/17.47 inference('lazy_cnf_and', [status(thm)], [zip_derived_cl866])). 132.87/17.47 thf(zip_derived_cl887, plain, 132.87/17.47 (( (((mbox @ (qmltpeq @ (op @ e3 @ e3) @ e1) @ '#sk3') & (mbox @ 132.87/17.47 (qmltpeq @ (op @ e2 @ e2) @ e1) @ '#sk3'))) 132.87/17.47 | ('#form2' @ '#sk3' @ (op @ e0 @ e0) @ e0) 132.87/17.47 | (((mand @ (mbox @ (qmltpeq @ (op @ e0 @ e0) @ e3)) @ 132.87/17.47 (mand @ (mbox @ (qmltpeq @ (op @ e1 @ e1) @ e3)) @ 132.87/17.47 (mand @ (mbox @ (qmltpeq @ (op @ e2 @ e2) @ e3)) @ 132.87/17.47 (mbox @ (qmltpeq @ (op @ e3 @ e3) @ e3)))) @ 132.87/17.47 '#sk3') | (mand @ (mbox @ (qmltpeq @ (op @ e0 @ e0) @ e2)) @ 132.87/17.47 (mand @ (mbox @ (qmltpeq @ (op @ e1 @ e1) @ e2)) @ 132.87/17.47 (mand @ (mbox @ (qmltpeq @ (op @ e2 @ e2) @ e2)) @ 132.87/17.47 (mbox @ (qmltpeq @ (op @ e3 @ e3) @ e2)))) @ 132.87/17.47 '#sk3'))))), 132.87/17.47 inference('rw_clause', [status(thm)], [zip_derived_cl876, '3'])). 132.87/17.47 thf(zip_derived_cl901, plain, 132.87/17.47 (( (mbox @ (qmltpeq @ (op @ e3 @ e3) @ e1) @ '#sk3') 132.87/17.47 | (((mand @ (mbox @ (qmltpeq @ (op @ e0 @ e0) @ e3)) @ 132.87/17.47 (mand @ (mbox @ (qmltpeq @ (op @ e1 @ e1) @ e3)) @ 132.87/17.47 (mand @ (mbox @ (qmltpeq @ (op @ e2 @ e2) @ e3)) @ 132.87/17.47 (mbox @ (qmltpeq @ (op @ e3 @ e3) @ e3)))) @ 132.87/17.47 '#sk3') | (mand @ (mbox @ (qmltpeq @ (op @ e0 @ e0) @ e2)) @ 132.87/17.47 (mand @ (mbox @ (qmltpeq @ (op @ e1 @ e1) @ e2)) @ 132.87/17.47 (mand @ (mbox @ (qmltpeq @ (op @ e2 @ e2) @ e2)) @ 132.87/17.47 (mbox @ (qmltpeq @ (op @ e3 @ e3) @ e2)))) @ 132.87/17.47 '#sk3'))) 132.87/17.47 | ('#form2' @ '#sk3' @ (op @ e0 @ e0) @ e0))), 132.87/17.47 inference('lazy_cnf_and', [status(thm)], [zip_derived_cl887])). 132.87/17.47 thf(zip_derived_cl916, plain, 132.87/17.47 (( (((!!) @ (^[Y0 : mworld]: 132.87/17.47 (((mrel @ '#sk3' @ Y0) => (qmltpeq @ (op @ e3 @ e3) @ 132.87/17.47 e1 @ Y0)))))) 132.87/17.47 | ('#form2' @ '#sk3' @ (op @ e0 @ e0) @ e0) 132.87/17.47 | (((mand @ (mbox @ (qmltpeq @ (op @ e0 @ e0) @ e3)) @ 132.87/17.47 (mand @ (mbox @ (qmltpeq @ (op @ e1 @ e1) @ e3)) @ 132.87/17.47 (mand @ (mbox @ (qmltpeq @ (op @ e2 @ e2) @ e3)) @ 132.87/17.47 (mbox @ (qmltpeq @ (op @ e3 @ e3) @ e3)))) @ 132.87/17.47 '#sk3') | (mand @ (mbox @ (qmltpeq @ (op @ e0 @ e0) @ e2)) @ 132.87/17.47 (mand @ (mbox @ (qmltpeq @ (op @ e1 @ e1) @ e2)) @ 132.87/17.47 (mand @ (mbox @ (qmltpeq @ (op @ e2 @ e2) @ e2)) @ 132.87/17.47 (mbox @ (qmltpeq @ (op @ e3 @ e3) @ e2)))) @ 132.87/17.47 '#sk3'))))), 132.87/17.47 inference('rw_clause', [status(thm)], [zip_derived_cl901, '4'])). 132.87/17.47 thf(zip_derived_cl256, plain, 132.87/17.47 (![X3 : mworld, X6 : $i, X7 : $i]: 132.87/17.47 (~ ('#form2' @ X3 @ X6 @ X7) 132.87/17.47 | (((!!) @ (^[Y0 : mworld]: 132.87/17.47 (((mrel @ X3 @ Y0) => (qmltpeq @ X6 @ X7 @ Y0)))))))), 132.87/17.47 define([status(thm)])). 132.87/17.47 thf(zip_derived_cl190, plain, 132.87/17.47 (![X3 : mworld, X6 : $i, X7 : $i]: 132.87/17.47 ( ('#form2' @ X3 @ X6 @ X7) 132.87/17.47 | ~ (((!!) @ (^[Y0 : mworld]: 132.87/17.47 (((mrel @ X3 @ Y0) => (qmltpeq @ X6 @ X7 @ Y0)))))))), 132.87/17.47 define([status(thm)])). 132.87/17.47 thf(zip_derived_cl934, plain, 132.87/17.47 (( ('#form2' @ '#sk3' @ (op @ e3 @ e3) @ e1) 132.87/17.47 | (((mand @ (mbox @ (qmltpeq @ (op @ e0 @ e0) @ e3)) @ 132.87/17.47 (mand @ (mbox @ (qmltpeq @ (op @ e1 @ e1) @ e3)) @ 132.87/17.47 (mand @ (mbox @ (qmltpeq @ (op @ e2 @ e2) @ e3)) @ 132.87/17.47 (mbox @ (qmltpeq @ (op @ e3 @ e3) @ e3)))) @ 132.87/17.47 '#sk3') | (mand @ (mbox @ (qmltpeq @ (op @ e0 @ e0) @ e2)) @ 132.87/17.47 (mand @ (mbox @ (qmltpeq @ (op @ e1 @ e1) @ e2)) @ 132.87/17.47 (mand @ (mbox @ (qmltpeq @ (op @ e2 @ e2) @ e2)) @ 132.87/17.47 (mbox @ (qmltpeq @ (op @ e3 @ e3) @ e2)))) @ 132.87/17.47 '#sk3'))) 132.87/17.47 | ('#form2' @ '#sk3' @ (op @ e0 @ e0) @ e0))), 132.87/17.47 inference('renaming', [status(thm)], 132.87/17.47 [zip_derived_cl916, zip_derived_cl256, zip_derived_cl190])). 132.87/17.47 thf(zip_derived_cl956, plain, 132.87/17.47 (( (mand @ (mbox @ (qmltpeq @ (op @ e0 @ e0) @ e3)) @ 132.87/17.47 (mand @ (mbox @ (qmltpeq @ (op @ e1 @ e1) @ e3)) @ 132.87/17.47 (mand @ (mbox @ (qmltpeq @ (op @ e2 @ e2) @ e3)) @ 132.87/17.47 (mbox @ (qmltpeq @ (op @ e3 @ e3) @ e3)))) @ 132.87/17.47 '#sk3') 132.87/17.47 | (mand @ (mbox @ (qmltpeq @ (op @ e0 @ e0) @ e2)) @ 132.87/17.47 (mand @ (mbox @ (qmltpeq @ (op @ e1 @ e1) @ e2)) @ 132.87/17.47 (mand @ (mbox @ (qmltpeq @ (op @ e2 @ e2) @ e2)) @ 132.87/17.47 (mbox @ (qmltpeq @ (op @ e3 @ e3) @ e2)))) @ 132.87/17.47 '#sk3') 132.87/17.47 | ('#form2' @ '#sk3' @ (op @ e0 @ e0) @ e0) 132.87/17.47 | ('#form2' @ '#sk3' @ (op @ e3 @ e3) @ e1))), 132.87/17.47 inference('lazy_cnf_or', [status(thm)], [zip_derived_cl934])). 132.87/17.47 thf(zip_derived_cl979, plain, 132.87/17.47 (( (((mand @ (mbox @ (qmltpeq @ (op @ e1 @ e1) @ e3)) @ 132.87/17.47 (mand @ (mbox @ (qmltpeq @ (op @ e2 @ e2) @ e3)) @ 132.87/17.47 (mbox @ (qmltpeq @ (op @ e3 @ e3) @ e3))) @ 132.87/17.47 '#sk3') & (mbox @ (qmltpeq @ (op @ e0 @ e0) @ e3) @ '#sk3'))) 132.87/17.47 | ('#form2' @ '#sk3' @ (op @ e3 @ e3) @ e1) 132.87/17.47 | ('#form2' @ '#sk3' @ (op @ e0 @ e0) @ e0) 132.87/17.47 | (mand @ (mbox @ (qmltpeq @ (op @ e0 @ e0) @ e2)) @ 132.87/17.47 (mand @ (mbox @ (qmltpeq @ (op @ e1 @ e1) @ e2)) @ 132.87/17.47 (mand @ (mbox @ (qmltpeq @ (op @ e2 @ e2) @ e2)) @ 132.87/17.47 (mbox @ (qmltpeq @ (op @ e3 @ e3) @ e2)))) @ 132.87/17.47 '#sk3'))), 132.87/17.47 inference('rw_clause', [status(thm)], [zip_derived_cl956, '3'])). 132.87/17.47 thf(zip_derived_cl952, plain, 132.87/17.47 ((~ ('#form4') 132.87/17.47 | (((mand @ (mbox @ (qmltpeq @ (op @ e1 @ e1) @ e3)) @ 132.87/17.47 (mand @ (mbox @ (qmltpeq @ (op @ e2 @ e2) @ e3)) @ 132.87/17.47 (mbox @ (qmltpeq @ (op @ e3 @ e3) @ e3))) @ 132.87/17.47 '#sk3') & (mbox @ (qmltpeq @ (op @ e0 @ e0) @ e3) @ '#sk3'))))), 132.87/17.47 define([status(thm)])). 132.87/17.47 thf(zip_derived_cl1004, plain, 132.87/17.47 (( ('#form4') 132.87/17.47 | (mand @ (mbox @ (qmltpeq @ (op @ e0 @ e0) @ e2)) @ 132.87/17.47 (mand @ (mbox @ (qmltpeq @ (op @ e1 @ e1) @ e2)) @ 132.87/17.47 (mand @ (mbox @ (qmltpeq @ (op @ e2 @ e2) @ e2)) @ 132.87/17.47 (mbox @ (qmltpeq @ (op @ e3 @ e3) @ e2)))) @ 132.87/17.47 '#sk3') 132.87/17.47 | ('#form2' @ '#sk3' @ (op @ e0 @ e0) @ e0) 132.87/17.47 | ('#form2' @ '#sk3' @ (op @ e3 @ e3) @ e1))), 132.87/17.47 inference('renaming', [status(thm)], 132.87/17.47 [zip_derived_cl979, zip_derived_cl952])). 132.87/17.47 thf(zip_derived_cl1030, plain, 132.87/17.47 (( (((mand @ (mbox @ (qmltpeq @ (op @ e1 @ e1) @ e2)) @ 132.87/17.47 (mand @ (mbox @ (qmltpeq @ (op @ e2 @ e2) @ e2)) @ 132.87/17.47 (mbox @ (qmltpeq @ (op @ e3 @ e3) @ e2))) @ 132.87/17.47 '#sk3') & (mbox @ (qmltpeq @ (op @ e0 @ e0) @ e2) @ '#sk3'))) 132.87/17.47 | ('#form2' @ '#sk3' @ (op @ e3 @ e3) @ e1) 132.87/17.47 | ('#form2' @ '#sk3' @ (op @ e0 @ e0) @ e0) 132.87/17.47 | ('#form4'))), 132.87/17.47 inference('rw_clause', [status(thm)], [zip_derived_cl1004, '3'])). 132.87/17.47 thf(zip_derived_cl1059, plain, 132.87/17.47 (( (mand @ (mbox @ (qmltpeq @ (op @ e1 @ e1) @ e2)) @ 132.87/17.47 (mand @ (mbox @ (qmltpeq @ (op @ e2 @ e2) @ e2)) @ 132.87/17.47 (mbox @ (qmltpeq @ (op @ e3 @ e3) @ e2))) @ 132.87/17.47 '#sk3') 132.87/17.47 | ('#form4') 132.87/17.47 | ('#form2' @ '#sk3' @ (op @ e0 @ e0) @ e0) 132.87/17.47 | ('#form2' @ '#sk3' @ (op @ e3 @ e3) @ e1))), 132.87/17.47 inference('lazy_cnf_and', [status(thm)], [zip_derived_cl1030])). 132.87/17.47 thf(zip_derived_cl1090, plain, 132.87/17.47 (( (((mand @ (mbox @ (qmltpeq @ (op @ e2 @ e2) @ e2)) @ 132.87/17.47 (mbox @ (qmltpeq @ (op @ e3 @ e3) @ e2)) @ '#sk3') & (mbox @ 132.87/17.47 (qmltpeq @ (op @ e1 @ e1) @ e2) @ '#sk3'))) 132.87/17.47 | ('#form2' @ '#sk3' @ (op @ e3 @ e3) @ e1) 132.87/17.47 | ('#form2' @ '#sk3' @ (op @ e0 @ e0) @ e0) 132.87/17.47 | ('#form4'))), 132.87/17.47 inference('rw_clause', [status(thm)], [zip_derived_cl1059, '3'])). 132.87/17.47 thf(zip_derived_cl1126, plain, 132.87/17.47 (( (mand @ (mbox @ (qmltpeq @ (op @ e2 @ e2) @ e2)) @ 132.87/17.47 (mbox @ (qmltpeq @ (op @ e3 @ e3) @ e2)) @ '#sk3') 132.87/17.47 | ('#form4') 132.87/17.47 | ('#form2' @ '#sk3' @ (op @ e0 @ e0) @ e0) 132.87/17.47 | ('#form2' @ '#sk3' @ (op @ e3 @ e3) @ e1))), 132.87/17.47 inference('lazy_cnf_and', [status(thm)], [zip_derived_cl1090])). 132.87/17.47 thf(zip_derived_cl1159, plain, 132.87/17.47 (( (((mbox @ (qmltpeq @ (op @ e3 @ e3) @ e2) @ '#sk3') & (mbox @ 132.87/17.47 (qmltpeq @ (op @ e2 @ e2) @ e2) @ '#sk3'))) 132.87/17.47 | ('#form2' @ '#sk3' @ (op @ e3 @ e3) @ e1) 132.87/17.47 | ('#form2' @ '#sk3' @ (op @ e0 @ e0) @ e0) 132.87/17.47 | ('#form4'))), 132.87/17.47 inference('rw_clause', [status(thm)], [zip_derived_cl1126, '3'])). 132.87/17.47 thf(zip_derived_cl1196, plain, 132.87/17.47 (( (mbox @ (qmltpeq @ (op @ e3 @ e3) @ e2) @ '#sk3') 132.87/17.47 | ('#form4') 132.87/17.47 | ('#form2' @ '#sk3' @ (op @ e0 @ e0) @ e0) 132.87/17.47 | ('#form2' @ '#sk3' @ (op @ e3 @ e3) @ e1))), 132.87/17.47 inference('lazy_cnf_and', [status(thm)], [zip_derived_cl1159])). 132.87/17.47 thf(zip_derived_cl1226, plain, 132.87/17.47 (( (((!!) @ (^[Y0 : mworld]: 132.87/17.47 (((mrel @ '#sk3' @ Y0) => (qmltpeq @ (op @ e3 @ e3) @ 132.87/17.47 e2 @ Y0)))))) 132.87/17.47 | ('#form2' @ '#sk3' @ (op @ e3 @ e3) @ e1) 132.87/17.47 | ('#form2' @ '#sk3' @ (op @ e0 @ e0) @ e0) 132.87/17.47 | ('#form4'))), 132.87/17.47 inference('rw_clause', [status(thm)], [zip_derived_cl1196, '4'])). 132.87/17.47 thf(zip_derived_cl256, plain, 132.87/17.47 (![X3 : mworld, X6 : $i, X7 : $i]: 132.87/17.47 (~ ('#form2' @ X3 @ X6 @ X7) 132.87/17.47 | (((!!) @ (^[Y0 : mworld]: 132.87/17.47 (((mrel @ X3 @ Y0) => (qmltpeq @ X6 @ X7 @ Y0)))))))), 132.87/17.47 define([status(thm)])). 132.87/17.47 thf(zip_derived_cl190, plain, 132.87/17.47 (![X3 : mworld, X6 : $i, X7 : $i]: 132.87/17.47 ( ('#form2' @ X3 @ X6 @ X7) 132.87/17.47 | ~ (((!!) @ (^[Y0 : mworld]: 132.87/17.47 (((mrel @ X3 @ Y0) => (qmltpeq @ X6 @ X7 @ Y0)))))))), 132.87/17.47 define([status(thm)])). 132.87/17.47 thf(zip_derived_cl1260, plain, 132.87/17.47 (( ('#form2' @ '#sk3' @ (op @ e3 @ e3) @ e2) 132.87/17.47 | ('#form4') 132.87/17.47 | ('#form2' @ '#sk3' @ (op @ e0 @ e0) @ e0) 132.87/17.47 | ('#form2' @ '#sk3' @ (op @ e3 @ e3) @ e1))), 132.87/17.47 inference('renaming', [status(thm)], 132.87/17.47 [zip_derived_cl1226, zip_derived_cl256, zip_derived_cl190])). 132.87/17.47 thf(zip_derived_cl821, plain, 132.87/17.47 (![X0 : mworld]: 132.87/17.47 (~ (mand @ (mbox @ (qmltpeq @ (op @ e0 @ e0) @ e0)) @ 132.87/17.47 (mand @ (mbox @ (qmltpeq @ (op @ e1 @ e1) @ e0)) @ 132.87/17.47 (mand @ (mbox @ (qmltpeq @ (op @ e2 @ e2) @ e0)) @ 132.87/17.47 (mbox @ (qmltpeq @ (op @ e3 @ e3) @ e0)))) @ 132.87/17.47 X0) 132.87/17.47 | ~ (mrel @ '#sk3' @ X0))), 132.87/17.47 inference('lazy_cnf_or', [status(thm)], [zip_derived_cl817])). 132.87/17.47 thf(zip_derived_cl825, plain, 132.87/17.47 (![X0 : mworld]: 132.87/17.47 (~ (((mbox @ (qmltpeq @ (op @ e0 @ e0) @ e0) @ X0) & (mand @ 132.87/17.47 (mbox @ (qmltpeq @ (op @ e1 @ e1) @ e0)) @ 132.87/17.47 (mand @ (mbox @ (qmltpeq @ (op @ e2 @ e2) @ e0)) @ 132.87/17.47 (mbox @ (qmltpeq @ (op @ e3 @ e3) @ e0))) @ 132.87/17.47 X0))) 132.87/17.47 | ~ (mrel @ '#sk3' @ X0))), 132.87/17.47 inference('rw_clause', [status(thm)], [zip_derived_cl821, '7'])). 132.87/17.47 thf(zip_derived_cl831, plain, 132.87/17.47 (![X0 : mworld]: 132.87/17.47 (~ (mbox @ (qmltpeq @ (op @ e0 @ e0) @ e0) @ X0) 132.87/17.47 | ~ (mand @ (mbox @ (qmltpeq @ (op @ e1 @ e1) @ e0)) @ 132.87/17.47 (mand @ (mbox @ (qmltpeq @ (op @ e2 @ e2) @ e0)) @ 132.87/17.47 (mbox @ (qmltpeq @ (op @ e3 @ e3) @ e0))) @ 132.87/17.47 X0) 132.87/17.47 | ~ (mrel @ '#sk3' @ X0))), 132.87/17.47 inference('lazy_cnf_and', [status(thm)], [zip_derived_cl825])). 132.87/17.47 thf(zip_derived_cl837, plain, 132.87/17.47 (![X0 : mworld]: 132.87/17.47 (~ (((!!) @ (^[Y0 : mworld]: 132.87/17.47 (((mrel @ X0 @ Y0) => (qmltpeq @ (op @ e0 @ e0) @ e0 @ 132.87/17.47 Y0)))))) 132.87/17.47 | ~ (mrel @ '#sk3' @ X0) 132.87/17.47 | ~ (mand @ (mbox @ (qmltpeq @ (op @ e1 @ e1) @ e0)) @ 132.87/17.47 (mand @ (mbox @ (qmltpeq @ (op @ e2 @ e2) @ e0)) @ 132.87/17.47 (mbox @ (qmltpeq @ (op @ e3 @ e3) @ e0))) @ 132.87/17.47 X0))), 132.87/17.47 inference('rw_clause', [status(thm)], [zip_derived_cl831, '1'])). 132.87/17.47 thf(zip_derived_cl256, plain, 132.87/17.47 (![X3 : mworld, X6 : $i, X7 : $i]: 132.87/17.47 (~ ('#form2' @ X3 @ X6 @ X7) 132.87/17.47 | (((!!) @ (^[Y0 : mworld]: 132.87/17.47 (((mrel @ X3 @ Y0) => (qmltpeq @ X6 @ X7 @ Y0)))))))), 132.87/17.47 define([status(thm)])). 132.87/17.47 thf(zip_derived_cl190, plain, 132.87/17.47 (![X3 : mworld, X6 : $i, X7 : $i]: 132.87/17.47 ( ('#form2' @ X3 @ X6 @ X7) 132.87/17.47 | ~ (((!!) @ (^[Y0 : mworld]: 132.87/17.47 (((mrel @ X3 @ Y0) => (qmltpeq @ X6 @ X7 @ Y0)))))))), 132.87/17.47 define([status(thm)])). 132.87/17.47 thf(zip_derived_cl845, plain, 132.87/17.47 (![X0 : mworld]: 132.87/17.47 (~ ('#form2' @ X0 @ (op @ e0 @ e0) @ e0) 132.87/17.47 | ~ (mand @ (mbox @ (qmltpeq @ (op @ e1 @ e1) @ e0)) @ 132.87/17.47 (mand @ (mbox @ (qmltpeq @ (op @ e2 @ e2) @ e0)) @ 132.87/17.47 (mbox @ (qmltpeq @ (op @ e3 @ e3) @ e0))) @ 132.87/17.47 X0) 132.87/17.47 | ~ (mrel @ '#sk3' @ X0))), 132.87/17.47 inference('renaming', [status(thm)], 132.87/17.47 [zip_derived_cl837, zip_derived_cl256, zip_derived_cl190])). 132.87/17.47 thf(zip_derived_cl853, plain, 132.87/17.47 (![X0 : mworld]: 132.87/17.47 (~ (((mbox @ (qmltpeq @ (op @ e1 @ e1) @ e0) @ X0) & (mand @ 132.87/17.47 (mbox @ (qmltpeq @ (op @ e2 @ e2) @ e0)) @ 132.87/17.47 (mbox @ (qmltpeq @ (op @ e3 @ e3) @ e0)) @ X0))) 132.87/17.47 | ~ (mrel @ '#sk3' @ X0) 132.87/17.47 | ~ ('#form2' @ X0 @ (op @ e0 @ e0) @ e0))), 132.87/17.47 inference('rw_clause', [status(thm)], [zip_derived_cl845, '7'])). 132.87/17.47 thf(zip_derived_cl862, plain, 132.87/17.47 (![X0 : mworld]: 132.87/17.47 (~ (mbox @ (qmltpeq @ (op @ e1 @ e1) @ e0) @ X0) 132.87/17.47 | ~ (mand @ (mbox @ (qmltpeq @ (op @ e2 @ e2) @ e0)) @ 132.87/17.47 (mbox @ (qmltpeq @ (op @ e3 @ e3) @ e0)) @ X0) 132.87/17.47 | ~ ('#form2' @ X0 @ (op @ e0 @ e0) @ e0) 132.87/17.47 | ~ (mrel @ '#sk3' @ X0))), 132.87/17.47 inference('lazy_cnf_and', [status(thm)], [zip_derived_cl853])). 132.87/17.47 thf(zip_derived_cl871, plain, 132.87/17.47 (![X0 : mworld]: 132.87/17.47 (~ (((!!) @ (^[Y0 : mworld]: 132.87/17.47 (((mrel @ X0 @ Y0) => (qmltpeq @ (op @ e1 @ e1) @ e0 @ 132.87/17.47 Y0)))))) 132.87/17.47 | ~ (mrel @ '#sk3' @ X0) 132.87/17.47 | ~ ('#form2' @ X0 @ (op @ e0 @ e0) @ e0) 132.87/17.47 | ~ (mand @ (mbox @ (qmltpeq @ (op @ e2 @ e2) @ e0)) @ 132.87/17.47 (mbox @ (qmltpeq @ (op @ e3 @ e3) @ e0)) @ X0))), 132.87/17.47 inference('rw_clause', [status(thm)], [zip_derived_cl862, '1'])). 132.87/17.47 thf(zip_derived_cl256, plain, 132.87/17.47 (![X3 : mworld, X6 : $i, X7 : $i]: 132.87/17.47 (~ ('#form2' @ X3 @ X6 @ X7) 132.87/17.47 | (((!!) @ (^[Y0 : mworld]: 132.87/17.47 (((mrel @ X3 @ Y0) => (qmltpeq @ X6 @ X7 @ Y0)))))))), 132.87/17.47 define([status(thm)])). 132.87/17.47 thf(zip_derived_cl190, plain, 132.87/17.47 (![X3 : mworld, X6 : $i, X7 : $i]: 132.87/17.47 ( ('#form2' @ X3 @ X6 @ X7) 132.87/17.47 | ~ (((!!) @ (^[Y0 : mworld]: 132.87/17.47 (((mrel @ X3 @ Y0) => (qmltpeq @ X6 @ X7 @ Y0)))))))), 132.87/17.47 define([status(thm)])). 132.87/17.47 thf(zip_derived_cl882, plain, 132.87/17.47 (![X0 : mworld]: 132.87/17.47 (~ ('#form2' @ X0 @ (op @ e1 @ e1) @ e0) 132.87/17.47 | ~ (mand @ (mbox @ (qmltpeq @ (op @ e2 @ e2) @ e0)) @ 132.87/17.47 (mbox @ (qmltpeq @ (op @ e3 @ e3) @ e0)) @ X0) 132.87/17.47 | ~ ('#form2' @ X0 @ (op @ e0 @ e0) @ e0) 132.87/17.47 | ~ (mrel @ '#sk3' @ X0))), 132.87/17.47 inference('renaming', [status(thm)], 132.87/17.47 [zip_derived_cl871, zip_derived_cl256, zip_derived_cl190])). 132.87/17.47 thf(zip_derived_cl893, plain, 132.87/17.47 (![X0 : mworld]: 132.87/17.47 (~ (((mbox @ (qmltpeq @ (op @ e2 @ e2) @ e0) @ X0) & (mbox @ 132.87/17.47 (qmltpeq @ (op @ e3 @ e3) @ e0) @ X0))) 132.87/17.47 | ~ (mrel @ '#sk3' @ X0) 132.87/17.47 | ~ ('#form2' @ X0 @ (op @ e0 @ e0) @ e0) 132.87/17.47 | ~ ('#form2' @ X0 @ (op @ e1 @ e1) @ e0))), 132.87/17.47 inference('rw_clause', [status(thm)], [zip_derived_cl882, '7'])). 132.87/17.47 thf(zip_derived_cl908, plain, 132.87/17.47 (![X0 : mworld]: 132.87/17.47 (~ (mbox @ (qmltpeq @ (op @ e2 @ e2) @ e0) @ X0) 132.87/17.47 | ~ (mbox @ (qmltpeq @ (op @ e3 @ e3) @ e0) @ X0) 132.87/17.47 | ~ ('#form2' @ X0 @ (op @ e1 @ e1) @ e0) 132.87/17.47 | ~ ('#form2' @ X0 @ (op @ e0 @ e0) @ e0) 132.87/17.47 | ~ (mrel @ '#sk3' @ X0))), 132.87/17.47 inference('lazy_cnf_and', [status(thm)], [zip_derived_cl893])). 132.87/17.47 thf(zip_derived_cl923, plain, 132.87/17.47 (![X0 : mworld]: 132.87/17.47 (~ (((!!) @ (^[Y0 : mworld]: 132.87/17.47 (((mrel @ X0 @ Y0) => (qmltpeq @ (op @ e2 @ e2) @ e0 @ 132.87/17.47 Y0)))))) 132.87/17.47 | ~ (mrel @ '#sk3' @ X0) 132.87/17.47 | ~ ('#form2' @ X0 @ (op @ e0 @ e0) @ e0) 132.87/17.47 | ~ ('#form2' @ X0 @ (op @ e1 @ e1) @ e0) 132.87/17.47 | ~ (mbox @ (qmltpeq @ (op @ e3 @ e3) @ e0) @ X0))), 132.87/17.47 inference('rw_clause', [status(thm)], [zip_derived_cl908, '1'])). 132.87/17.47 thf(zip_derived_cl256, plain, 132.87/17.47 (![X3 : mworld, X6 : $i, X7 : $i]: 132.87/17.47 (~ ('#form2' @ X3 @ X6 @ X7) 132.87/17.47 | (((!!) @ (^[Y0 : mworld]: 132.87/17.47 (((mrel @ X3 @ Y0) => (qmltpeq @ X6 @ X7 @ Y0)))))))), 132.87/17.47 define([status(thm)])). 132.87/17.47 thf(zip_derived_cl190, plain, 132.87/17.47 (![X3 : mworld, X6 : $i, X7 : $i]: 132.87/17.47 ( ('#form2' @ X3 @ X6 @ X7) 132.87/17.47 | ~ (((!!) @ (^[Y0 : mworld]: 132.87/17.47 (((mrel @ X3 @ Y0) => (qmltpeq @ X6 @ X7 @ Y0)))))))), 132.87/17.47 define([status(thm)])). 132.87/17.47 thf(zip_derived_cl942, plain, 132.87/17.47 (![X0 : mworld]: 132.87/17.47 (~ ('#form2' @ X0 @ (op @ e2 @ e2) @ e0) 132.87/17.47 | ~ (mbox @ (qmltpeq @ (op @ e3 @ e3) @ e0) @ X0) 132.87/17.47 | ~ ('#form2' @ X0 @ (op @ e1 @ e1) @ e0) 132.87/17.47 | ~ ('#form2' @ X0 @ (op @ e0 @ e0) @ e0) 132.87/17.47 | ~ (mrel @ '#sk3' @ X0))), 132.87/17.47 inference('renaming', [status(thm)], 132.87/17.47 [zip_derived_cl923, zip_derived_cl256, zip_derived_cl190])). 132.87/17.47 thf(zip_derived_cl964, plain, 132.87/17.47 (![X0 : mworld]: 132.87/17.47 (~ (((!!) @ (^[Y0 : mworld]: 132.87/17.47 (((mrel @ X0 @ Y0) => (qmltpeq @ (op @ e3 @ e3) @ e0 @ 132.87/17.47 Y0)))))) 132.87/17.47 | ~ (mrel @ '#sk3' @ X0) 132.87/17.47 | ~ ('#form2' @ X0 @ (op @ e0 @ e0) @ e0) 132.87/17.47 | ~ ('#form2' @ X0 @ (op @ e1 @ e1) @ e0) 132.87/17.47 | ~ ('#form2' @ X0 @ (op @ e2 @ e2) @ e0))), 132.87/17.47 inference('rw_clause', [status(thm)], [zip_derived_cl942, '1'])). 132.87/17.47 thf(zip_derived_cl256, plain, 132.87/17.47 (![X3 : mworld, X6 : $i, X7 : $i]: 132.87/17.47 (~ ('#form2' @ X3 @ X6 @ X7) 132.87/17.47 | (((!!) @ (^[Y0 : mworld]: 132.87/17.47 (((mrel @ X3 @ Y0) => (qmltpeq @ X6 @ X7 @ Y0)))))))), 132.87/17.47 define([status(thm)])). 132.87/17.47 thf(zip_derived_cl190, plain, 132.87/17.47 (![X3 : mworld, X6 : $i, X7 : $i]: 132.87/17.47 ( ('#form2' @ X3 @ X6 @ X7) 132.87/17.47 | ~ (((!!) @ (^[Y0 : mworld]: 132.87/17.47 (((mrel @ X3 @ Y0) => (qmltpeq @ X6 @ X7 @ Y0)))))))), 132.87/17.47 define([status(thm)])). 132.87/17.47 thf(zip_derived_cl987, plain, 132.87/17.47 (![X0 : mworld]: 132.87/17.47 (~ ('#form2' @ X0 @ (op @ e3 @ e3) @ e0) 132.87/17.47 | ~ ('#form2' @ X0 @ (op @ e2 @ e2) @ e0) 132.87/17.47 | ~ ('#form2' @ X0 @ (op @ e1 @ e1) @ e0) 132.87/17.47 | ~ ('#form2' @ X0 @ (op @ e0 @ e0) @ e0) 132.87/17.47 | ~ (mrel @ '#sk3' @ X0))), 132.87/17.47 inference('renaming', [status(thm)], 132.87/17.47 [zip_derived_cl964, zip_derived_cl256, zip_derived_cl190])). 132.87/17.47 thf(zip_derived_cl877, plain, 132.87/17.47 (( (mbox @ (qmltpeq @ (op @ e1 @ e1) @ e1) @ '#sk3') 132.87/17.47 | (((mand @ (mbox @ (qmltpeq @ (op @ e0 @ e0) @ e3)) @ 132.87/17.47 (mand @ (mbox @ (qmltpeq @ (op @ e1 @ e1) @ e3)) @ 132.87/17.47 (mand @ (mbox @ (qmltpeq @ (op @ e2 @ e2) @ e3)) @ 132.87/17.47 (mbox @ (qmltpeq @ (op @ e3 @ e3) @ e3)))) @ 132.87/17.47 '#sk3') | (mand @ (mbox @ (qmltpeq @ (op @ e0 @ e0) @ e2)) @ 132.87/17.47 (mand @ (mbox @ (qmltpeq @ (op @ e1 @ e1) @ e2)) @ 132.87/17.47 (mand @ (mbox @ (qmltpeq @ (op @ e2 @ e2) @ e2)) @ 132.87/17.47 (mbox @ (qmltpeq @ (op @ e3 @ e3) @ e2)))) @ 132.87/17.47 '#sk3'))) 132.87/17.47 | ('#form2' @ '#sk3' @ (op @ e0 @ e0) @ e0))), 132.87/17.47 inference('lazy_cnf_and', [status(thm)], [zip_derived_cl866])). 132.87/17.47 thf(zip_derived_cl888, plain, 132.87/17.47 (( (((!!) @ (^[Y0 : mworld]: 132.87/17.47 (((mrel @ '#sk3' @ Y0) => (qmltpeq @ (op @ e1 @ e1) @ 132.87/17.47 e1 @ Y0)))))) 132.87/17.47 | ('#form2' @ '#sk3' @ (op @ e0 @ e0) @ e0) 132.87/17.47 | (((mand @ (mbox @ (qmltpeq @ (op @ e0 @ e0) @ e3)) @ 132.87/17.47 (mand @ (mbox @ (qmltpeq @ (op @ e1 @ e1) @ e3)) @ 132.87/17.47 (mand @ (mbox @ (qmltpeq @ (op @ e2 @ e2) @ e3)) @ 132.87/17.47 (mbox @ (qmltpeq @ (op @ e3 @ e3) @ e3)))) @ 132.87/17.47 '#sk3') | (mand @ (mbox @ (qmltpeq @ (op @ e0 @ e0) @ e2)) @ 132.87/17.47 (mand @ (mbox @ (qmltpeq @ (op @ e1 @ e1) @ e2)) @ 132.87/17.47 (mand @ (mbox @ (qmltpeq @ (op @ e2 @ e2) @ e2)) @ 132.87/17.47 (mbox @ (qmltpeq @ (op @ e3 @ e3) @ e2)))) @ 132.87/17.47 '#sk3'))))), 132.87/17.47 inference('rw_clause', [status(thm)], [zip_derived_cl877, '4'])). 132.87/17.47 thf(zip_derived_cl256, plain, 132.87/17.47 (![X3 : mworld, X6 : $i, X7 : $i]: 132.87/17.47 (~ ('#form2' @ X3 @ X6 @ X7) 132.87/17.47 | (((!!) @ (^[Y0 : mworld]: 132.87/17.47 (((mrel @ X3 @ Y0) => (qmltpeq @ X6 @ X7 @ Y0)))))))), 132.87/17.47 define([status(thm)])). 132.87/17.47 thf(zip_derived_cl190, plain, 132.87/17.47 (![X3 : mworld, X6 : $i, X7 : $i]: 132.87/17.47 ( ('#form2' @ X3 @ X6 @ X7) 132.87/17.47 | ~ (((!!) @ (^[Y0 : mworld]: 132.87/17.47 (((mrel @ X3 @ Y0) => (qmltpeq @ X6 @ X7 @ Y0)))))))), 132.87/17.47 define([status(thm)])). 132.87/17.47 thf(zip_derived_cl903, plain, 132.87/17.47 (( ('#form2' @ '#sk3' @ (op @ e1 @ e1) @ e1) 132.87/17.47 | (((mand @ (mbox @ (qmltpeq @ (op @ e0 @ e0) @ e3)) @ 132.87/17.47 (mand @ (mbox @ (qmltpeq @ (op @ e1 @ e1) @ e3)) @ 132.87/17.47 (mand @ (mbox @ (qmltpeq @ (op @ e2 @ e2) @ e3)) @ 132.87/17.47 (mbox @ (qmltpeq @ (op @ e3 @ e3) @ e3)))) @ 132.87/17.47 '#sk3') | (mand @ (mbox @ (qmltpeq @ (op @ e0 @ e0) @ e2)) @ 132.87/17.47 (mand @ (mbox @ (qmltpeq @ (op @ e1 @ e1) @ e2)) @ 132.87/17.47 (mand @ (mbox @ (qmltpeq @ (op @ e2 @ e2) @ e2)) @ 132.87/17.47 (mbox @ (qmltpeq @ (op @ e3 @ e3) @ e2)))) @ 132.87/17.47 '#sk3'))) 132.87/17.47 | ('#form2' @ '#sk3' @ (op @ e0 @ e0) @ e0))), 132.87/17.47 inference('renaming', [status(thm)], 132.87/17.47 [zip_derived_cl888, zip_derived_cl256, zip_derived_cl190])). 132.87/17.47 thf(zip_derived_cl918, plain, 132.87/17.47 (( (mand @ (mbox @ (qmltpeq @ (op @ e0 @ e0) @ e3)) @ 132.87/17.47 (mand @ (mbox @ (qmltpeq @ (op @ e1 @ e1) @ e3)) @ 132.87/17.47 (mand @ (mbox @ (qmltpeq @ (op @ e2 @ e2) @ e3)) @ 132.87/17.47 (mbox @ (qmltpeq @ (op @ e3 @ e3) @ e3)))) @ 132.87/17.47 '#sk3') 132.87/17.47 | (mand @ (mbox @ (qmltpeq @ (op @ e0 @ e0) @ e2)) @ 132.87/17.47 (mand @ (mbox @ (qmltpeq @ (op @ e1 @ e1) @ e2)) @ 132.87/17.47 (mand @ (mbox @ (qmltpeq @ (op @ e2 @ e2) @ e2)) @ 132.87/17.47 (mbox @ (qmltpeq @ (op @ e3 @ e3) @ e2)))) @ 132.87/17.47 '#sk3') 132.87/17.47 | ('#form2' @ '#sk3' @ (op @ e0 @ e0) @ e0) 132.87/17.47 | ('#form2' @ '#sk3' @ (op @ e1 @ e1) @ e1))), 132.87/17.47 inference('lazy_cnf_or', [status(thm)], [zip_derived_cl903])). 132.87/17.47 thf(zip_derived_cl936, plain, 132.87/17.47 (( (((mand @ (mbox @ (qmltpeq @ (op @ e1 @ e1) @ e3)) @ 132.87/17.47 (mand @ (mbox @ (qmltpeq @ (op @ e2 @ e2) @ e3)) @ 132.87/17.47 (mbox @ (qmltpeq @ (op @ e3 @ e3) @ e3))) @ 132.87/17.47 '#sk3') & (mbox @ (qmltpeq @ (op @ e0 @ e0) @ e3) @ '#sk3'))) 132.87/17.47 | ('#form2' @ '#sk3' @ (op @ e1 @ e1) @ e1) 132.87/17.47 | ('#form2' @ '#sk3' @ (op @ e0 @ e0) @ e0) 132.87/17.47 | (mand @ (mbox @ (qmltpeq @ (op @ e0 @ e0) @ e2)) @ 132.87/17.47 (mand @ (mbox @ (qmltpeq @ (op @ e1 @ e1) @ e2)) @ 132.87/17.47 (mand @ (mbox @ (qmltpeq @ (op @ e2 @ e2) @ e2)) @ 132.87/17.47 (mbox @ (qmltpeq @ (op @ e3 @ e3) @ e2)))) @ 132.87/17.47 '#sk3'))), 132.87/17.47 inference('rw_clause', [status(thm)], [zip_derived_cl918, '3'])). 132.87/17.47 thf(zip_derived_cl952, plain, 132.87/17.47 ((~ ('#form4') 132.87/17.47 | (((mand @ (mbox @ (qmltpeq @ (op @ e1 @ e1) @ e3)) @ 132.87/17.47 (mand @ (mbox @ (qmltpeq @ (op @ e2 @ e2) @ e3)) @ 132.87/17.47 (mbox @ (qmltpeq @ (op @ e3 @ e3) @ e3))) @ 132.87/17.47 '#sk3') & (mbox @ (qmltpeq @ (op @ e0 @ e0) @ e3) @ '#sk3'))))), 132.87/17.47 define([status(thm)])). 132.87/17.47 thf(zip_derived_cl958, plain, 132.87/17.47 (( ('#form4') 132.87/17.47 | (mand @ (mbox @ (qmltpeq @ (op @ e0 @ e0) @ e2)) @ 132.87/17.47 (mand @ (mbox @ (qmltpeq @ (op @ e1 @ e1) @ e2)) @ 132.87/17.47 (mand @ (mbox @ (qmltpeq @ (op @ e2 @ e2) @ e2)) @ 132.87/17.47 (mbox @ (qmltpeq @ (op @ e3 @ e3) @ e2)))) @ 132.87/17.47 '#sk3') 132.87/17.47 | ('#form2' @ '#sk3' @ (op @ e0 @ e0) @ e0) 132.87/17.47 | ('#form2' @ '#sk3' @ (op @ e1 @ e1) @ e1))), 132.87/17.47 inference('renaming', [status(thm)], 132.87/17.47 [zip_derived_cl936, zip_derived_cl952])). 132.87/17.47 thf(zip_derived_cl981, plain, 132.87/17.47 (( (((mand @ (mbox @ (qmltpeq @ (op @ e1 @ e1) @ e2)) @ 132.87/17.47 (mand @ (mbox @ (qmltpeq @ (op @ e2 @ e2) @ e2)) @ 132.87/17.47 (mbox @ (qmltpeq @ (op @ e3 @ e3) @ e2))) @ 132.87/17.47 '#sk3') & (mbox @ (qmltpeq @ (op @ e0 @ e0) @ e2) @ '#sk3'))) 132.87/17.47 | ('#form2' @ '#sk3' @ (op @ e1 @ e1) @ e1) 132.87/17.47 | ('#form2' @ '#sk3' @ (op @ e0 @ e0) @ e0) 132.87/17.47 | ('#form4'))), 132.87/17.47 inference('rw_clause', [status(thm)], [zip_derived_cl958, '3'])). 132.87/17.47 thf(zip_derived_cl1006, plain, 132.87/17.47 (( (mand @ (mbox @ (qmltpeq @ (op @ e1 @ e1) @ e2)) @ 132.87/17.47 (mand @ (mbox @ (qmltpeq @ (op @ e2 @ e2) @ e2)) @ 132.87/17.47 (mbox @ (qmltpeq @ (op @ e3 @ e3) @ e2))) @ 132.87/17.47 '#sk3') 132.87/17.47 | ('#form4') 132.87/17.47 | ('#form2' @ '#sk3' @ (op @ e0 @ e0) @ e0) 132.87/17.47 | ('#form2' @ '#sk3' @ (op @ e1 @ e1) @ e1))), 132.87/17.47 inference('lazy_cnf_and', [status(thm)], [zip_derived_cl981])). 132.87/17.47 thf(zip_derived_cl1032, plain, 132.87/17.47 (( (((mand @ (mbox @ (qmltpeq @ (op @ e2 @ e2) @ e2)) @ 132.87/17.47 (mbox @ (qmltpeq @ (op @ e3 @ e3) @ e2)) @ '#sk3') & (mbox @ 132.87/17.47 (qmltpeq @ (op @ e1 @ e1) @ e2) @ '#sk3'))) 132.87/17.47 | ('#form2' @ '#sk3' @ (op @ e1 @ e1) @ e1) 132.87/17.47 | ('#form2' @ '#sk3' @ (op @ e0 @ e0) @ e0) 132.87/17.47 | ('#form4'))), 132.87/17.47 inference('rw_clause', [status(thm)], [zip_derived_cl1006, '3'])). 132.87/17.47 thf(zip_derived_cl1063, plain, 132.87/17.47 (( (mand @ (mbox @ (qmltpeq @ (op @ e2 @ e2) @ e2)) @ 132.87/17.47 (mbox @ (qmltpeq @ (op @ e3 @ e3) @ e2)) @ '#sk3') 132.87/17.47 | ('#form4') 132.87/17.47 | ('#form2' @ '#sk3' @ (op @ e0 @ e0) @ e0) 132.87/17.47 | ('#form2' @ '#sk3' @ (op @ e1 @ e1) @ e1))), 132.87/17.47 inference('lazy_cnf_and', [status(thm)], [zip_derived_cl1032])). 132.87/17.47 thf(zip_derived_cl1094, plain, 132.87/17.47 (( (((mbox @ (qmltpeq @ (op @ e3 @ e3) @ e2) @ '#sk3') & (mbox @ 132.87/17.47 (qmltpeq @ (op @ e2 @ e2) @ e2) @ '#sk3'))) 132.87/17.47 | ('#form2' @ '#sk3' @ (op @ e1 @ e1) @ e1) 132.87/17.47 | ('#form2' @ '#sk3' @ (op @ e0 @ e0) @ e0) 132.87/17.47 | ('#form4'))), 132.87/17.47 inference('rw_clause', [status(thm)], [zip_derived_cl1063, '3'])). 132.87/17.47 thf(zip_derived_cl1132, plain, 132.87/17.47 (( (mbox @ (qmltpeq @ (op @ e3 @ e3) @ e2) @ '#sk3') 132.87/17.47 | ('#form4') 132.87/17.47 | ('#form2' @ '#sk3' @ (op @ e0 @ e0) @ e0) 132.87/17.47 | ('#form2' @ '#sk3' @ (op @ e1 @ e1) @ e1))), 132.87/17.47 inference('lazy_cnf_and', [status(thm)], [zip_derived_cl1094])). 132.87/17.47 thf(zip_derived_cl1163, plain, 132.87/17.47 (( (((!!) @ (^[Y0 : mworld]: 132.87/17.47 (((mrel @ '#sk3' @ Y0) => (qmltpeq @ (op @ e3 @ e3) @ 132.87/17.47 e2 @ Y0)))))) 132.87/17.47 | ('#form2' @ '#sk3' @ (op @ e1 @ e1) @ e1) 132.87/17.47 | ('#form2' @ '#sk3' @ (op @ e0 @ e0) @ e0) 132.87/17.47 | ('#form4'))), 132.87/17.47 inference('rw_clause', [status(thm)], [zip_derived_cl1132, '4'])). 132.87/17.47 thf(zip_derived_cl256, plain, 132.87/17.47 (![X3 : mworld, X6 : $i, X7 : $i]: 132.87/17.47 (~ ('#form2' @ X3 @ X6 @ X7) 132.87/17.47 | (((!!) @ (^[Y0 : mworld]: 132.87/17.47 (((mrel @ X3 @ Y0) => (qmltpeq @ X6 @ X7 @ Y0)))))))), 132.87/17.47 define([status(thm)])). 132.87/17.47 thf(zip_derived_cl190, plain, 132.87/17.47 (![X3 : mworld, X6 : $i, X7 : $i]: 132.87/17.47 ( ('#form2' @ X3 @ X6 @ X7) 132.87/17.47 | ~ (((!!) @ (^[Y0 : mworld]: 132.87/17.47 (((mrel @ X3 @ Y0) => (qmltpeq @ X6 @ X7 @ Y0)))))))), 132.87/17.47 define([status(thm)])). 132.87/17.47 thf(zip_derived_cl1202, plain, 132.87/17.47 (( ('#form2' @ '#sk3' @ (op @ e3 @ e3) @ e2) 132.87/17.47 | ('#form4') 132.87/17.47 | ('#form2' @ '#sk3' @ (op @ e0 @ e0) @ e0) 132.87/17.47 | ('#form2' @ '#sk3' @ (op @ e1 @ e1) @ e1))), 132.87/17.47 inference('renaming', [status(thm)], 132.87/17.47 [zip_derived_cl1163, zip_derived_cl256, zip_derived_cl190])). 132.87/17.47 thf(zip_derived_cl1197, plain, 132.87/17.47 (( (mbox @ (qmltpeq @ (op @ e2 @ e2) @ e2) @ '#sk3') 132.87/17.47 | ('#form4') 132.87/17.47 | ('#form2' @ '#sk3' @ (op @ e0 @ e0) @ e0) 132.87/17.47 | ('#form2' @ '#sk3' @ (op @ e3 @ e3) @ e1))), 132.87/17.47 inference('lazy_cnf_and', [status(thm)], [zip_derived_cl1159])). 132.87/17.47 thf(zip_derived_cl1227, plain, 132.87/17.47 (( (((!!) @ (^[Y0 : mworld]: 132.87/17.47 (((mrel @ '#sk3' @ Y0) => (qmltpeq @ (op @ e2 @ e2) @ 132.87/17.47 e2 @ Y0)))))) 132.87/17.47 | ('#form2' @ '#sk3' @ (op @ e3 @ e3) @ e1) 132.87/17.47 | ('#form2' @ '#sk3' @ (op @ e0 @ e0) @ e0) 132.87/17.47 | ('#form4'))), 132.87/17.47 inference('rw_clause', [status(thm)], [zip_derived_cl1197, '4'])). 132.87/17.47 thf(zip_derived_cl256, plain, 132.87/17.47 (![X3 : mworld, X6 : $i, X7 : $i]: 132.87/17.47 (~ ('#form2' @ X3 @ X6 @ X7) 132.87/17.47 | (((!!) @ (^[Y0 : mworld]: 132.87/17.47 (((mrel @ X3 @ Y0) => (qmltpeq @ X6 @ X7 @ Y0)))))))), 132.87/17.47 define([status(thm)])). 132.87/17.47 thf(zip_derived_cl190, plain, 132.87/17.47 (![X3 : mworld, X6 : $i, X7 : $i]: 132.87/17.47 ( ('#form2' @ X3 @ X6 @ X7) 132.87/17.47 | ~ (((!!) @ (^[Y0 : mworld]: 132.87/17.47 (((mrel @ X3 @ Y0) => (qmltpeq @ X6 @ X7 @ Y0)))))))), 132.87/17.47 define([status(thm)])). 132.87/17.47 thf(zip_derived_cl1261, plain, 132.87/17.47 (( ('#form2' @ '#sk3' @ (op @ e2 @ e2) @ e2) 132.87/17.47 | ('#form4') 132.87/17.47 | ('#form2' @ '#sk3' @ (op @ e0 @ e0) @ e0) 132.87/17.47 | ('#form2' @ '#sk3' @ (op @ e3 @ e3) @ e1))), 132.87/17.47 inference('renaming', [status(thm)], 132.87/17.47 [zip_derived_cl1227, zip_derived_cl256, zip_derived_cl190])). 132.87/17.47 thf(zip_derived_cl1133, plain, 132.87/17.47 (( (mbox @ (qmltpeq @ (op @ e2 @ e2) @ e2) @ '#sk3') 132.87/17.47 | ('#form4') 132.87/17.47 | ('#form2' @ '#sk3' @ (op @ e0 @ e0) @ e0) 132.87/17.47 | ('#form2' @ '#sk3' @ (op @ e1 @ e1) @ e1))), 132.87/17.47 inference('lazy_cnf_and', [status(thm)], [zip_derived_cl1094])). 132.87/17.47 thf(zip_derived_cl1164, plain, 132.87/17.47 (( (((!!) @ (^[Y0 : mworld]: 132.87/17.47 (((mrel @ '#sk3' @ Y0) => (qmltpeq @ (op @ e2 @ e2) @ 132.87/17.47 e2 @ Y0)))))) 132.87/17.47 | ('#form2' @ '#sk3' @ (op @ e1 @ e1) @ e1) 132.87/17.47 | ('#form2' @ '#sk3' @ (op @ e0 @ e0) @ e0) 132.87/17.47 | ('#form4'))), 132.87/17.47 inference('rw_clause', [status(thm)], [zip_derived_cl1133, '4'])). 132.87/17.47 thf(zip_derived_cl256, plain, 132.87/17.47 (![X3 : mworld, X6 : $i, X7 : $i]: 132.87/17.47 (~ ('#form2' @ X3 @ X6 @ X7) 132.87/17.47 | (((!!) @ (^[Y0 : mworld]: 132.87/17.47 (((mrel @ X3 @ Y0) => (qmltpeq @ X6 @ X7 @ Y0)))))))), 132.87/17.47 define([status(thm)])). 132.87/17.47 thf(zip_derived_cl190, plain, 132.87/17.47 (![X3 : mworld, X6 : $i, X7 : $i]: 132.87/17.47 ( ('#form2' @ X3 @ X6 @ X7) 132.87/17.47 | ~ (((!!) @ (^[Y0 : mworld]: 132.87/17.47 (((mrel @ X3 @ Y0) => (qmltpeq @ X6 @ X7 @ Y0)))))))), 132.87/17.47 define([status(thm)])). 132.87/17.47 thf(zip_derived_cl1203, plain, 132.87/17.47 (( ('#form2' @ '#sk3' @ (op @ e2 @ e2) @ e2) 132.87/17.47 | ('#form4') 132.87/17.47 | ('#form2' @ '#sk3' @ (op @ e0 @ e0) @ e0) 132.87/17.47 | ('#form2' @ '#sk3' @ (op @ e1 @ e1) @ e1))), 132.87/17.47 inference('renaming', [status(thm)], 132.87/17.47 [zip_derived_cl1164, zip_derived_cl256, zip_derived_cl190])). 132.87/17.47 thf(zip_derived_cl1127, plain, 132.87/17.47 (( (mbox @ (qmltpeq @ (op @ e1 @ e1) @ e2) @ '#sk3') 132.87/17.47 | ('#form4') 132.87/17.47 | ('#form2' @ '#sk3' @ (op @ e0 @ e0) @ e0) 132.87/17.47 | ('#form2' @ '#sk3' @ (op @ e3 @ e3) @ e1))), 132.87/17.47 inference('lazy_cnf_and', [status(thm)], [zip_derived_cl1090])). 132.87/17.47 thf(zip_derived_cl1160, plain, 132.87/17.47 (( (((!!) @ (^[Y0 : mworld]: 132.87/17.47 (((mrel @ '#sk3' @ Y0) => (qmltpeq @ (op @ e1 @ e1) @ 132.87/17.47 e2 @ Y0)))))) 132.87/17.47 | ('#form2' @ '#sk3' @ (op @ e3 @ e3) @ e1) 132.87/17.47 | ('#form2' @ '#sk3' @ (op @ e0 @ e0) @ e0) 132.87/17.47 | ('#form4'))), 132.87/17.47 inference('rw_clause', [status(thm)], [zip_derived_cl1127, '4'])). 132.87/17.47 thf(zip_derived_cl256, plain, 132.87/17.47 (![X3 : mworld, X6 : $i, X7 : $i]: 132.87/17.47 (~ ('#form2' @ X3 @ X6 @ X7) 132.87/17.47 | (((!!) @ (^[Y0 : mworld]: 132.87/17.47 (((mrel @ X3 @ Y0) => (qmltpeq @ X6 @ X7 @ Y0)))))))), 132.87/17.47 define([status(thm)])). 132.87/17.47 thf(zip_derived_cl190, plain, 132.87/17.47 (![X3 : mworld, X6 : $i, X7 : $i]: 132.87/17.47 ( ('#form2' @ X3 @ X6 @ X7) 132.87/17.47 | ~ (((!!) @ (^[Y0 : mworld]: 132.87/17.47 (((mrel @ X3 @ Y0) => (qmltpeq @ X6 @ X7 @ Y0)))))))), 132.87/17.47 define([status(thm)])). 132.87/17.47 thf(zip_derived_cl1198, plain, 132.87/17.47 (( ('#form2' @ '#sk3' @ (op @ e1 @ e1) @ e2) 132.87/17.47 | ('#form4') 132.87/17.47 | ('#form2' @ '#sk3' @ (op @ e0 @ e0) @ e0) 132.87/17.47 | ('#form2' @ '#sk3' @ (op @ e3 @ e3) @ e1))), 132.87/17.47 inference('renaming', [status(thm)], 132.87/17.47 [zip_derived_cl1160, zip_derived_cl256, zip_derived_cl190])). 132.87/17.47 thf(zip_derived_cl1064, plain, 132.87/17.47 (( (mbox @ (qmltpeq @ (op @ e1 @ e1) @ e2) @ '#sk3') 132.87/17.47 | ('#form4') 132.87/17.47 | ('#form2' @ '#sk3' @ (op @ e0 @ e0) @ e0) 132.87/17.47 | ('#form2' @ '#sk3' @ (op @ e1 @ e1) @ e1))), 132.87/17.47 inference('lazy_cnf_and', [status(thm)], [zip_derived_cl1032])). 132.87/17.47 thf(zip_derived_cl1095, plain, 132.87/17.47 (( (((!!) @ (^[Y0 : mworld]: 132.87/17.47 (((mrel @ '#sk3' @ Y0) => (qmltpeq @ (op @ e1 @ e1) @ 132.87/17.47 e2 @ Y0)))))) 132.87/17.47 | ('#form2' @ '#sk3' @ (op @ e1 @ e1) @ e1) 132.87/17.47 | ('#form2' @ '#sk3' @ (op @ e0 @ e0) @ e0) 132.87/17.47 | ('#form4'))), 132.87/17.47 inference('rw_clause', [status(thm)], [zip_derived_cl1064, '4'])). 132.87/17.47 thf(zip_derived_cl256, plain, 132.87/17.47 (![X3 : mworld, X6 : $i, X7 : $i]: 132.87/17.47 (~ ('#form2' @ X3 @ X6 @ X7) 132.87/17.47 | (((!!) @ (^[Y0 : mworld]: 132.87/17.47 (((mrel @ X3 @ Y0) => (qmltpeq @ X6 @ X7 @ Y0)))))))), 132.87/17.47 define([status(thm)])). 132.87/17.47 thf(zip_derived_cl190, plain, 132.87/17.47 (![X3 : mworld, X6 : $i, X7 : $i]: 132.87/17.47 ( ('#form2' @ X3 @ X6 @ X7) 132.87/17.47 | ~ (((!!) @ (^[Y0 : mworld]: 132.87/17.47 (((mrel @ X3 @ Y0) => (qmltpeq @ X6 @ X7 @ Y0)))))))), 132.87/17.47 define([status(thm)])). 132.87/17.47 thf(zip_derived_cl1134, plain, 132.87/17.47 (( ('#form2' @ '#sk3' @ (op @ e1 @ e1) @ e2) 132.87/17.47 | ('#form4') 132.87/17.47 | ('#form2' @ '#sk3' @ (op @ e0 @ e0) @ e0) 132.87/17.47 | ('#form2' @ '#sk3' @ (op @ e1 @ e1) @ e1))), 132.87/17.47 inference('renaming', [status(thm)], 132.87/17.47 [zip_derived_cl1095, zip_derived_cl256, zip_derived_cl190])). 132.87/17.47 thf(zip_derived_cl902, plain, 132.87/17.47 (( (mbox @ (qmltpeq @ (op @ e2 @ e2) @ e1) @ '#sk3') 132.87/17.47 | (((mand @ (mbox @ (qmltpeq @ (op @ e0 @ e0) @ e3)) @ 132.87/17.47 (mand @ (mbox @ (qmltpeq @ (op @ e1 @ e1) @ e3)) @ 132.87/17.47 (mand @ (mbox @ (qmltpeq @ (op @ e2 @ e2) @ e3)) @ 132.87/17.47 (mbox @ (qmltpeq @ (op @ e3 @ e3) @ e3)))) @ 132.87/17.47 '#sk3') | (mand @ (mbox @ (qmltpeq @ (op @ e0 @ e0) @ e2)) @ 132.87/17.47 (mand @ (mbox @ (qmltpeq @ (op @ e1 @ e1) @ e2)) @ 132.87/17.47 (mand @ (mbox @ (qmltpeq @ (op @ e2 @ e2) @ e2)) @ 132.87/17.47 (mbox @ (qmltpeq @ (op @ e3 @ e3) @ e2)))) @ 132.87/17.47 '#sk3'))) 132.87/17.47 | ('#form2' @ '#sk3' @ (op @ e0 @ e0) @ e0))), 132.87/17.47 inference('lazy_cnf_and', [status(thm)], [zip_derived_cl887])). 132.87/17.47 thf(zip_derived_cl917, plain, 132.87/17.47 (( (((!!) @ (^[Y0 : mworld]: 132.87/17.47 (((mrel @ '#sk3' @ Y0) => (qmltpeq @ (op @ e2 @ e2) @ 132.87/17.47 e1 @ Y0)))))) 132.87/17.47 | ('#form2' @ '#sk3' @ (op @ e0 @ e0) @ e0) 132.87/17.47 | (((mand @ (mbox @ (qmltpeq @ (op @ e0 @ e0) @ e3)) @ 132.87/17.47 (mand @ (mbox @ (qmltpeq @ (op @ e1 @ e1) @ e3)) @ 132.87/17.47 (mand @ (mbox @ (qmltpeq @ (op @ e2 @ e2) @ e3)) @ 132.87/17.47 (mbox @ (qmltpeq @ (op @ e3 @ e3) @ e3)))) @ 132.87/17.47 '#sk3') | (mand @ (mbox @ (qmltpeq @ (op @ e0 @ e0) @ e2)) @ 132.87/17.47 (mand @ (mbox @ (qmltpeq @ (op @ e1 @ e1) @ e2)) @ 132.87/17.47 (mand @ (mbox @ (qmltpeq @ (op @ e2 @ e2) @ e2)) @ 132.87/17.47 (mbox @ (qmltpeq @ (op @ e3 @ e3) @ e2)))) @ 132.87/17.47 '#sk3'))))), 132.87/17.47 inference('rw_clause', [status(thm)], [zip_derived_cl902, '4'])). 132.87/17.47 thf(zip_derived_cl256, plain, 132.87/17.47 (![X3 : mworld, X6 : $i, X7 : $i]: 132.87/17.47 (~ ('#form2' @ X3 @ X6 @ X7) 132.87/17.47 | (((!!) @ (^[Y0 : mworld]: 132.87/17.47 (((mrel @ X3 @ Y0) => (qmltpeq @ X6 @ X7 @ Y0)))))))), 132.87/17.47 define([status(thm)])). 132.87/17.47 thf(zip_derived_cl190, plain, 132.87/17.47 (![X3 : mworld, X6 : $i, X7 : $i]: 132.87/17.47 ( ('#form2' @ X3 @ X6 @ X7) 132.87/17.47 | ~ (((!!) @ (^[Y0 : mworld]: 132.87/17.47 (((mrel @ X3 @ Y0) => (qmltpeq @ X6 @ X7 @ Y0)))))))), 132.87/17.47 define([status(thm)])). 132.87/17.47 thf(zip_derived_cl935, plain, 132.87/17.47 (( ('#form2' @ '#sk3' @ (op @ e2 @ e2) @ e1) 132.87/17.47 | (((mand @ (mbox @ (qmltpeq @ (op @ e0 @ e0) @ e3)) @ 132.87/17.47 (mand @ (mbox @ (qmltpeq @ (op @ e1 @ e1) @ e3)) @ 132.87/17.47 (mand @ (mbox @ (qmltpeq @ (op @ e2 @ e2) @ e3)) @ 132.87/17.47 (mbox @ (qmltpeq @ (op @ e3 @ e3) @ e3)))) @ 132.87/17.47 '#sk3') | (mand @ (mbox @ (qmltpeq @ (op @ e0 @ e0) @ e2)) @ 132.87/17.47 (mand @ (mbox @ (qmltpeq @ (op @ e1 @ e1) @ e2)) @ 132.87/17.47 (mand @ (mbox @ (qmltpeq @ (op @ e2 @ e2) @ e2)) @ 132.87/17.47 (mbox @ (qmltpeq @ (op @ e3 @ e3) @ e2)))) @ 132.87/17.47 '#sk3'))) 132.87/17.47 | ('#form2' @ '#sk3' @ (op @ e0 @ e0) @ e0))), 132.87/17.47 inference('renaming', [status(thm)], 132.87/17.47 [zip_derived_cl917, zip_derived_cl256, zip_derived_cl190])). 132.87/17.47 thf(zip_derived_cl957, plain, 132.87/17.47 (( (mand @ (mbox @ (qmltpeq @ (op @ e0 @ e0) @ e3)) @ 132.87/17.47 (mand @ (mbox @ (qmltpeq @ (op @ e1 @ e1) @ e3)) @ 132.87/17.47 (mand @ (mbox @ (qmltpeq @ (op @ e2 @ e2) @ e3)) @ 132.87/17.47 (mbox @ (qmltpeq @ (op @ e3 @ e3) @ e3)))) @ 132.87/17.47 '#sk3') 132.87/17.47 | (mand @ (mbox @ (qmltpeq @ (op @ e0 @ e0) @ e2)) @ 132.87/17.47 (mand @ (mbox @ (qmltpeq @ (op @ e1 @ e1) @ e2)) @ 132.87/17.47 (mand @ (mbox @ (qmltpeq @ (op @ e2 @ e2) @ e2)) @ 132.87/17.47 (mbox @ (qmltpeq @ (op @ e3 @ e3) @ e2)))) @ 132.87/17.47 '#sk3') 132.87/17.47 | ('#form2' @ '#sk3' @ (op @ e0 @ e0) @ e0) 132.87/17.47 | ('#form2' @ '#sk3' @ (op @ e2 @ e2) @ e1))), 132.87/17.47 inference('lazy_cnf_or', [status(thm)], [zip_derived_cl935])). 132.87/17.47 thf(zip_derived_cl980, plain, 132.87/17.47 (( (((mand @ (mbox @ (qmltpeq @ (op @ e1 @ e1) @ e3)) @ 132.87/17.47 (mand @ (mbox @ (qmltpeq @ (op @ e2 @ e2) @ e3)) @ 132.87/17.47 (mbox @ (qmltpeq @ (op @ e3 @ e3) @ e3))) @ 132.87/17.47 '#sk3') & (mbox @ (qmltpeq @ (op @ e0 @ e0) @ e3) @ '#sk3'))) 132.87/17.47 | ('#form2' @ '#sk3' @ (op @ e2 @ e2) @ e1) 132.87/17.47 | ('#form2' @ '#sk3' @ (op @ e0 @ e0) @ e0) 132.87/17.47 | (mand @ (mbox @ (qmltpeq @ (op @ e0 @ e0) @ e2)) @ 132.87/17.47 (mand @ (mbox @ (qmltpeq @ (op @ e1 @ e1) @ e2)) @ 132.87/17.47 (mand @ (mbox @ (qmltpeq @ (op @ e2 @ e2) @ e2)) @ 132.87/17.47 (mbox @ (qmltpeq @ (op @ e3 @ e3) @ e2)))) @ 132.87/17.47 '#sk3'))), 132.87/17.47 inference('rw_clause', [status(thm)], [zip_derived_cl957, '3'])). 132.87/17.47 thf(zip_derived_cl952, plain, 132.87/17.47 ((~ ('#form4') 132.87/17.47 | (((mand @ (mbox @ (qmltpeq @ (op @ e1 @ e1) @ e3)) @ 132.87/17.47 (mand @ (mbox @ (qmltpeq @ (op @ e2 @ e2) @ e3)) @ 132.87/17.47 (mbox @ (qmltpeq @ (op @ e3 @ e3) @ e3))) @ 132.87/17.47 '#sk3') & (mbox @ (qmltpeq @ (op @ e0 @ e0) @ e3) @ '#sk3'))))), 132.87/17.47 define([status(thm)])). 132.87/17.47 thf(zip_derived_cl1005, plain, 132.87/17.47 (( ('#form4') 132.87/17.47 | (mand @ (mbox @ (qmltpeq @ (op @ e0 @ e0) @ e2)) @ 132.87/17.47 (mand @ (mbox @ (qmltpeq @ (op @ e1 @ e1) @ e2)) @ 132.87/17.47 (mand @ (mbox @ (qmltpeq @ (op @ e2 @ e2) @ e2)) @ 132.87/17.47 (mbox @ (qmltpeq @ (op @ e3 @ e3) @ e2)))) @ 132.87/17.47 '#sk3') 132.87/17.47 | ('#form2' @ '#sk3' @ (op @ e0 @ e0) @ e0) 132.87/17.47 | ('#form2' @ '#sk3' @ (op @ e2 @ e2) @ e1))), 132.87/17.47 inference('renaming', [status(thm)], 132.87/17.47 [zip_derived_cl980, zip_derived_cl952])). 132.87/17.47 thf(zip_derived_cl1031, plain, 132.87/17.47 (( (((mand @ (mbox @ (qmltpeq @ (op @ e1 @ e1) @ e2)) @ 132.87/17.47 (mand @ (mbox @ (qmltpeq @ (op @ e2 @ e2) @ e2)) @ 132.87/17.47 (mbox @ (qmltpeq @ (op @ e3 @ e3) @ e2))) @ 132.87/17.47 '#sk3') & (mbox @ (qmltpeq @ (op @ e0 @ e0) @ e2) @ '#sk3'))) 132.87/17.47 | ('#form2' @ '#sk3' @ (op @ e2 @ e2) @ e1) 132.87/17.47 | ('#form2' @ '#sk3' @ (op @ e0 @ e0) @ e0) 132.87/17.47 | ('#form4'))), 132.87/17.47 inference('rw_clause', [status(thm)], [zip_derived_cl1005, '3'])). 132.87/17.47 thf(zip_derived_cl1061, plain, 132.87/17.47 (( (mand @ (mbox @ (qmltpeq @ (op @ e1 @ e1) @ e2)) @ 132.87/17.47 (mand @ (mbox @ (qmltpeq @ (op @ e2 @ e2) @ e2)) @ 132.87/17.47 (mbox @ (qmltpeq @ (op @ e3 @ e3) @ e2))) @ 132.87/17.47 '#sk3') 132.87/17.47 | ('#form4') 132.87/17.47 | ('#form2' @ '#sk3' @ (op @ e0 @ e0) @ e0) 132.87/17.47 | ('#form2' @ '#sk3' @ (op @ e2 @ e2) @ e1))), 132.87/17.47 inference('lazy_cnf_and', [status(thm)], [zip_derived_cl1031])). 132.87/17.47 thf(zip_derived_cl1092, plain, 132.87/17.47 (( (((mand @ (mbox @ (qmltpeq @ (op @ e2 @ e2) @ e2)) @ 132.87/17.47 (mbox @ (qmltpeq @ (op @ e3 @ e3) @ e2)) @ '#sk3') & (mbox @ 132.87/17.47 (qmltpeq @ (op @ e1 @ e1) @ e2) @ '#sk3'))) 132.87/17.47 | ('#form2' @ '#sk3' @ (op @ e2 @ e2) @ e1) 132.87/17.47 | ('#form2' @ '#sk3' @ (op @ e0 @ e0) @ e0) 132.87/17.47 | ('#form4'))), 132.87/17.47 inference('rw_clause', [status(thm)], [zip_derived_cl1061, '3'])). 132.87/17.47 thf(zip_derived_cl1129, plain, 132.87/17.47 (( (mand @ (mbox @ (qmltpeq @ (op @ e2 @ e2) @ e2)) @ 132.87/17.47 (mbox @ (qmltpeq @ (op @ e3 @ e3) @ e2)) @ '#sk3') 132.87/17.47 | ('#form4') 132.87/17.47 | ('#form2' @ '#sk3' @ (op @ e0 @ e0) @ e0) 132.87/17.47 | ('#form2' @ '#sk3' @ (op @ e2 @ e2) @ e1))), 132.87/17.47 inference('lazy_cnf_and', [status(thm)], [zip_derived_cl1092])). 132.87/17.47 thf(zip_derived_cl1161, plain, 132.87/17.47 (( (((mbox @ (qmltpeq @ (op @ e3 @ e3) @ e2) @ '#sk3') & (mbox @ 132.87/17.47 (qmltpeq @ (op @ e2 @ e2) @ e2) @ '#sk3'))) 132.87/17.47 | ('#form2' @ '#sk3' @ (op @ e2 @ e2) @ e1) 132.87/17.47 | ('#form2' @ '#sk3' @ (op @ e0 @ e0) @ e0) 132.87/17.47 | ('#form4'))), 132.87/17.47 inference('rw_clause', [status(thm)], [zip_derived_cl1129, '3'])). 132.87/17.47 thf(zip_derived_cl1200, plain, 132.87/17.47 (( (mbox @ (qmltpeq @ (op @ e2 @ e2) @ e2) @ '#sk3') 132.87/17.47 | ('#form4') 132.87/17.47 | ('#form2' @ '#sk3' @ (op @ e0 @ e0) @ e0) 132.87/17.47 | ('#form2' @ '#sk3' @ (op @ e2 @ e2) @ e1))), 132.87/17.47 inference('lazy_cnf_and', [status(thm)], [zip_derived_cl1161])). 132.87/17.47 thf(zip_derived_cl1229, plain, 132.87/17.47 (( (((!!) @ (^[Y0 : mworld]: 132.87/17.47 (((mrel @ '#sk3' @ Y0) => (qmltpeq @ (op @ e2 @ e2) @ 132.87/17.47 e2 @ Y0)))))) 132.87/17.47 | ('#form2' @ '#sk3' @ (op @ e2 @ e2) @ e1) 132.87/17.47 | ('#form2' @ '#sk3' @ (op @ e0 @ e0) @ e0) 132.87/17.47 | ('#form4'))), 132.87/17.47 inference('rw_clause', [status(thm)], [zip_derived_cl1200, '4'])). 132.87/17.47 thf(zip_derived_cl256, plain, 132.87/17.47 (![X3 : mworld, X6 : $i, X7 : $i]: 132.87/17.47 (~ ('#form2' @ X3 @ X6 @ X7) 132.87/17.47 | (((!!) @ (^[Y0 : mworld]: 132.87/17.47 (((mrel @ X3 @ Y0) => (qmltpeq @ X6 @ X7 @ Y0)))))))), 132.87/17.47 define([status(thm)])). 132.87/17.47 thf(zip_derived_cl190, plain, 132.87/17.47 (![X3 : mworld, X6 : $i, X7 : $i]: 132.87/17.47 ( ('#form2' @ X3 @ X6 @ X7) 132.87/17.47 | ~ (((!!) @ (^[Y0 : mworld]: 132.87/17.47 (((mrel @ X3 @ Y0) => (qmltpeq @ X6 @ X7 @ Y0)))))))), 132.87/17.47 define([status(thm)])). 132.87/17.47 thf(zip_derived_cl1263, plain, 132.87/17.47 (( ('#form2' @ '#sk3' @ (op @ e2 @ e2) @ e2) 132.87/17.47 | ('#form4') 132.87/17.47 | ('#form2' @ '#sk3' @ (op @ e0 @ e0) @ e0) 132.87/17.47 | ('#form2' @ '#sk3' @ (op @ e2 @ e2) @ e1))), 132.87/17.47 inference('renaming', [status(thm)], 132.87/17.47 [zip_derived_cl1229, zip_derived_cl256, zip_derived_cl190])). 132.87/17.47 thf(zip_derived_cl1199, plain, 132.87/17.47 (( (mbox @ (qmltpeq @ (op @ e3 @ e3) @ e2) @ '#sk3') 132.87/17.47 | ('#form4') 132.87/17.47 | ('#form2' @ '#sk3' @ (op @ e0 @ e0) @ e0) 132.87/17.47 | ('#form2' @ '#sk3' @ (op @ e2 @ e2) @ e1))), 132.87/17.47 inference('lazy_cnf_and', [status(thm)], [zip_derived_cl1161])). 132.87/17.47 thf(zip_derived_cl1228, plain, 132.87/17.47 (( (((!!) @ (^[Y0 : mworld]: 132.87/17.47 (((mrel @ '#sk3' @ Y0) => (qmltpeq @ (op @ e3 @ e3) @ 132.87/17.47 e2 @ Y0)))))) 132.87/17.47 | ('#form2' @ '#sk3' @ (op @ e2 @ e2) @ e1) 132.87/17.47 | ('#form2' @ '#sk3' @ (op @ e0 @ e0) @ e0) 132.87/17.47 | ('#form4'))), 132.87/17.47 inference('rw_clause', [status(thm)], [zip_derived_cl1199, '4'])). 132.87/17.47 thf(zip_derived_cl256, plain, 132.87/17.47 (![X3 : mworld, X6 : $i, X7 : $i]: 132.87/17.47 (~ ('#form2' @ X3 @ X6 @ X7) 132.87/17.47 | (((!!) @ (^[Y0 : mworld]: 132.87/17.47 (((mrel @ X3 @ Y0) => (qmltpeq @ X6 @ X7 @ Y0)))))))), 132.87/17.47 define([status(thm)])). 132.87/17.47 thf(zip_derived_cl190, plain, 132.87/17.47 (![X3 : mworld, X6 : $i, X7 : $i]: 132.87/17.47 ( ('#form2' @ X3 @ X6 @ X7) 132.87/17.47 | ~ (((!!) @ (^[Y0 : mworld]: 132.87/17.47 (((mrel @ X3 @ Y0) => (qmltpeq @ X6 @ X7 @ Y0)))))))), 132.87/17.47 define([status(thm)])). 132.87/17.47 thf(zip_derived_cl1262, plain, 132.87/17.47 (( ('#form2' @ '#sk3' @ (op @ e3 @ e3) @ e2) 132.87/17.47 | ('#form4') 132.87/17.47 | ('#form2' @ '#sk3' @ (op @ e0 @ e0) @ e0) 132.87/17.47 | ('#form2' @ '#sk3' @ (op @ e2 @ e2) @ e1))), 132.87/17.47 inference('renaming', [status(thm)], 132.87/17.47 [zip_derived_cl1228, zip_derived_cl256, zip_derived_cl190])). 132.87/17.47 thf(zip_derived_cl1130, plain, 132.87/17.47 (( (mbox @ (qmltpeq @ (op @ e1 @ e1) @ e2) @ '#sk3') 132.87/17.47 | ('#form4') 132.87/17.47 | ('#form2' @ '#sk3' @ (op @ e0 @ e0) @ e0) 132.87/17.47 | ('#form2' @ '#sk3' @ (op @ e2 @ e2) @ e1))), 132.87/17.47 inference('lazy_cnf_and', [status(thm)], [zip_derived_cl1092])). 132.87/17.47 thf(zip_derived_cl1162, plain, 132.87/17.47 (( (((!!) @ (^[Y0 : mworld]: 132.87/17.47 (((mrel @ '#sk3' @ Y0) => (qmltpeq @ (op @ e1 @ e1) @ 132.87/17.47 e2 @ Y0)))))) 132.87/17.47 | ('#form2' @ '#sk3' @ (op @ e2 @ e2) @ e1) 132.87/17.47 | ('#form2' @ '#sk3' @ (op @ e0 @ e0) @ e0) 132.87/17.47 | ('#form4'))), 132.87/17.47 inference('rw_clause', [status(thm)], [zip_derived_cl1130, '4'])). 132.87/17.47 thf(zip_derived_cl256, plain, 132.87/17.47 (![X3 : mworld, X6 : $i, X7 : $i]: 132.87/17.47 (~ ('#form2' @ X3 @ X6 @ X7) 132.87/17.47 | (((!!) @ (^[Y0 : mworld]: 132.87/17.47 (((mrel @ X3 @ Y0) => (qmltpeq @ X6 @ X7 @ Y0)))))))), 132.87/17.47 define([status(thm)])). 132.87/17.47 thf(zip_derived_cl190, plain, 132.87/17.47 (![X3 : mworld, X6 : $i, X7 : $i]: 132.87/17.47 ( ('#form2' @ X3 @ X6 @ X7) 132.87/17.47 | ~ (((!!) @ (^[Y0 : mworld]: 132.87/17.47 (((mrel @ X3 @ Y0) => (qmltpeq @ X6 @ X7 @ Y0)))))))), 132.87/17.47 define([status(thm)])). 132.87/17.47 thf(zip_derived_cl1201, plain, 132.87/17.47 (( ('#form2' @ '#sk3' @ (op @ e1 @ e1) @ e2) 132.87/17.47 | ('#form4') 132.87/17.47 | ('#form2' @ '#sk3' @ (op @ e0 @ e0) @ e0) 132.87/17.47 | ('#form2' @ '#sk3' @ (op @ e2 @ e2) @ e1))), 132.87/17.47 inference('renaming', [status(thm)], 132.87/17.47 [zip_derived_cl1162, zip_derived_cl256, zip_derived_cl190])). 132.87/17.47 thf(zip_derived_cl858, plain, 132.87/17.47 (( (mbox @ (qmltpeq @ (op @ e0 @ e0) @ e1) @ '#sk3') 132.87/17.47 | (((mand @ (mbox @ (qmltpeq @ (op @ e0 @ e0) @ e3)) @ 132.87/17.47 (mand @ (mbox @ (qmltpeq @ (op @ e1 @ e1) @ e3)) @ 132.87/17.47 (mand @ (mbox @ (qmltpeq @ (op @ e2 @ e2) @ e3)) @ 132.87/17.47 (mbox @ (qmltpeq @ (op @ e3 @ e3) @ e3)))) @ 132.87/17.47 '#sk3') | (mand @ (mbox @ (qmltpeq @ (op @ e0 @ e0) @ e2)) @ 132.87/17.47 (mand @ (mbox @ (qmltpeq @ (op @ e1 @ e1) @ e2)) @ 132.87/17.47 (mand @ (mbox @ (qmltpeq @ (op @ e2 @ e2) @ e2)) @ 132.87/17.47 (mbox @ (qmltpeq @ (op @ e3 @ e3) @ e2)))) @ 132.87/17.47 '#sk3'))) 132.87/17.47 | ('#form2' @ '#sk3' @ (op @ e0 @ e0) @ e0))), 132.87/17.47 inference('lazy_cnf_and', [status(thm)], [zip_derived_cl849])). 132.87/17.47 thf(zip_derived_cl867, plain, 132.87/17.47 (( (((!!) @ (^[Y0 : mworld]: 132.87/17.47 (((mrel @ '#sk3' @ Y0) => (qmltpeq @ (op @ e0 @ e0) @ 132.87/17.47 e1 @ Y0)))))) 132.87/17.47 | ('#form2' @ '#sk3' @ (op @ e0 @ e0) @ e0) 132.87/17.47 | (((mand @ (mbox @ (qmltpeq @ (op @ e0 @ e0) @ e3)) @ 132.87/17.47 (mand @ (mbox @ (qmltpeq @ (op @ e1 @ e1) @ e3)) @ 132.87/17.47 (mand @ (mbox @ (qmltpeq @ (op @ e2 @ e2) @ e3)) @ 132.87/17.47 (mbox @ (qmltpeq @ (op @ e3 @ e3) @ e3)))) @ 132.87/17.47 '#sk3') | (mand @ (mbox @ (qmltpeq @ (op @ e0 @ e0) @ e2)) @ 132.87/17.47 (mand @ (mbox @ (qmltpeq @ (op @ e1 @ e1) @ e2)) @ 132.87/17.47 (mand @ (mbox @ (qmltpeq @ (op @ e2 @ e2) @ e2)) @ 132.87/17.47 (mbox @ (qmltpeq @ (op @ e3 @ e3) @ e2)))) @ 132.87/17.47 '#sk3'))))), 132.87/17.47 inference('rw_clause', [status(thm)], [zip_derived_cl858, '4'])). 132.87/17.47 thf(zip_derived_cl256, plain, 132.87/17.47 (![X3 : mworld, X6 : $i, X7 : $i]: 132.87/17.47 (~ ('#form2' @ X3 @ X6 @ X7) 132.87/17.47 | (((!!) @ (^[Y0 : mworld]: 132.87/17.47 (((mrel @ X3 @ Y0) => (qmltpeq @ X6 @ X7 @ Y0)))))))), 132.87/17.47 define([status(thm)])). 132.87/17.47 thf(zip_derived_cl190, plain, 132.87/17.47 (![X3 : mworld, X6 : $i, X7 : $i]: 132.87/17.47 ( ('#form2' @ X3 @ X6 @ X7) 132.87/17.47 | ~ (((!!) @ (^[Y0 : mworld]: 132.87/17.47 (((mrel @ X3 @ Y0) => (qmltpeq @ X6 @ X7 @ Y0)))))))), 132.87/17.47 define([status(thm)])). 132.87/17.47 thf(zip_derived_cl878, plain, 132.87/17.47 (( ('#form2' @ '#sk3' @ (op @ e0 @ e0) @ e1) 132.87/17.47 | (((mand @ (mbox @ (qmltpeq @ (op @ e0 @ e0) @ e3)) @ 132.87/17.47 (mand @ (mbox @ (qmltpeq @ (op @ e1 @ e1) @ e3)) @ 132.87/17.47 (mand @ (mbox @ (qmltpeq @ (op @ e2 @ e2) @ e3)) @ 132.87/17.47 (mbox @ (qmltpeq @ (op @ e3 @ e3) @ e3)))) @ 132.87/17.47 '#sk3') | (mand @ (mbox @ (qmltpeq @ (op @ e0 @ e0) @ e2)) @ 132.87/17.47 (mand @ (mbox @ (qmltpeq @ (op @ e1 @ e1) @ e2)) @ 132.87/17.47 (mand @ (mbox @ (qmltpeq @ (op @ e2 @ e2) @ e2)) @ 132.87/17.47 (mbox @ (qmltpeq @ (op @ e3 @ e3) @ e2)))) @ 132.87/17.47 '#sk3'))) 132.87/17.47 | ('#form2' @ '#sk3' @ (op @ e0 @ e0) @ e0))), 132.87/17.47 inference('renaming', [status(thm)], 132.87/17.47 [zip_derived_cl867, zip_derived_cl256, zip_derived_cl190])). 132.87/17.47 thf(zip_derived_cl889, plain, 132.87/17.47 (( (mand @ (mbox @ (qmltpeq @ (op @ e0 @ e0) @ e3)) @ 132.87/17.47 (mand @ (mbox @ (qmltpeq @ (op @ e1 @ e1) @ e3)) @ 132.87/17.47 (mand @ (mbox @ (qmltpeq @ (op @ e2 @ e2) @ e3)) @ 132.87/17.47 (mbox @ (qmltpeq @ (op @ e3 @ e3) @ e3)))) @ 132.87/17.47 '#sk3') 132.87/17.47 | (mand @ (mbox @ (qmltpeq @ (op @ e0 @ e0) @ e2)) @ 132.87/17.47 (mand @ (mbox @ (qmltpeq @ (op @ e1 @ e1) @ e2)) @ 132.87/17.47 (mand @ (mbox @ (qmltpeq @ (op @ e2 @ e2) @ e2)) @ 132.87/17.47 (mbox @ (qmltpeq @ (op @ e3 @ e3) @ e2)))) @ 132.87/17.47 '#sk3') 132.87/17.47 | ('#form2' @ '#sk3' @ (op @ e0 @ e0) @ e0) 132.87/17.47 | ('#form2' @ '#sk3' @ (op @ e0 @ e0) @ e1))), 132.87/17.47 inference('lazy_cnf_or', [status(thm)], [zip_derived_cl878])). 132.87/17.47 thf(zip_derived_cl904, plain, 132.87/17.47 (( (((mand @ (mbox @ (qmltpeq @ (op @ e1 @ e1) @ e3)) @ 132.87/17.47 (mand @ (mbox @ (qmltpeq @ (op @ e2 @ e2) @ e3)) @ 132.87/17.47 (mbox @ (qmltpeq @ (op @ e3 @ e3) @ e3))) @ 132.87/17.47 '#sk3') & (mbox @ (qmltpeq @ (op @ e0 @ e0) @ e3) @ '#sk3'))) 132.87/17.47 | ('#form2' @ '#sk3' @ (op @ e0 @ e0) @ e1) 132.87/17.47 | ('#form2' @ '#sk3' @ (op @ e0 @ e0) @ e0) 132.87/17.47 | (mand @ (mbox @ (qmltpeq @ (op @ e0 @ e0) @ e2)) @ 132.87/17.47 (mand @ (mbox @ (qmltpeq @ (op @ e1 @ e1) @ e2)) @ 132.87/17.47 (mand @ (mbox @ (qmltpeq @ (op @ e2 @ e2) @ e2)) @ 132.87/17.47 (mbox @ (qmltpeq @ (op @ e3 @ e3) @ e2)))) @ 132.87/17.47 '#sk3'))), 132.87/17.47 inference('rw_clause', [status(thm)], [zip_derived_cl889, '3'])). 132.87/17.47 thf(zip_derived_cl919, plain, 132.87/17.47 (( (((mand @ (mbox @ (qmltpeq @ (op @ e1 @ e1) @ e2)) @ 132.87/17.47 (mand @ (mbox @ (qmltpeq @ (op @ e2 @ e2) @ e2)) @ 132.87/17.47 (mbox @ (qmltpeq @ (op @ e3 @ e3) @ e2))) @ 132.87/17.47 '#sk3') & (mbox @ (qmltpeq @ (op @ e0 @ e0) @ e2) @ '#sk3'))) 132.87/17.47 | ('#form2' @ '#sk3' @ (op @ e0 @ e0) @ e0) 132.87/17.47 | ('#form2' @ '#sk3' @ (op @ e0 @ e0) @ e1) 132.87/17.47 | (((mand @ (mbox @ (qmltpeq @ (op @ e1 @ e1) @ e3)) @ 132.87/17.47 (mand @ (mbox @ (qmltpeq @ (op @ e2 @ e2) @ e3)) @ 132.87/17.47 (mbox @ (qmltpeq @ (op @ e3 @ e3) @ e3))) @ 132.87/17.47 '#sk3') & (mbox @ (qmltpeq @ (op @ e0 @ e0) @ e3) @ '#sk3'))))), 132.87/17.47 inference('rw_clause', [status(thm)], [zip_derived_cl904, '3'])). 132.87/17.47 thf(zip_derived_cl937, plain, 132.87/17.47 (( (mand @ (mbox @ (qmltpeq @ (op @ e1 @ e1) @ e2)) @ 132.87/17.47 (mand @ (mbox @ (qmltpeq @ (op @ e2 @ e2) @ e2)) @ 132.87/17.47 (mbox @ (qmltpeq @ (op @ e3 @ e3) @ e2))) @ 132.87/17.47 '#sk3') 132.87/17.47 | (((mand @ (mbox @ (qmltpeq @ (op @ e1 @ e1) @ e3)) @ 132.87/17.47 (mand @ (mbox @ (qmltpeq @ (op @ e2 @ e2) @ e3)) @ 132.87/17.47 (mbox @ (qmltpeq @ (op @ e3 @ e3) @ e3))) @ 132.87/17.47 '#sk3') & (mbox @ (qmltpeq @ (op @ e0 @ e0) @ e3) @ '#sk3'))) 132.87/17.47 | ('#form2' @ '#sk3' @ (op @ e0 @ e0) @ e1) 132.87/17.47 | ('#form2' @ '#sk3' @ (op @ e0 @ e0) @ e0))), 132.87/17.47 inference('lazy_cnf_and', [status(thm)], [zip_derived_cl919])). 132.87/17.47 thf(zip_derived_cl952, plain, 132.87/17.47 ((~ ('#form4') 132.87/17.47 | (((mand @ (mbox @ (qmltpeq @ (op @ e1 @ e1) @ e3)) @ 132.87/17.47 (mand @ (mbox @ (qmltpeq @ (op @ e2 @ e2) @ e3)) @ 132.87/17.47 (mbox @ (qmltpeq @ (op @ e3 @ e3) @ e3))) @ 132.87/17.47 '#sk3') & (mbox @ (qmltpeq @ (op @ e0 @ e0) @ e3) @ '#sk3'))))), 132.87/17.47 define([status(thm)])). 132.87/17.47 thf(zip_derived_cl959, plain, 132.87/17.47 (( ('#form4') 132.87/17.47 | ('#form2' @ '#sk3' @ (op @ e0 @ e0) @ e0) 132.87/17.47 | ('#form2' @ '#sk3' @ (op @ e0 @ e0) @ e1) 132.87/17.47 | (mand @ (mbox @ (qmltpeq @ (op @ e1 @ e1) @ e2)) @ 132.87/17.47 (mand @ (mbox @ (qmltpeq @ (op @ e2 @ e2) @ e2)) @ 132.87/17.47 (mbox @ (qmltpeq @ (op @ e3 @ e3) @ e2))) @ 132.87/17.47 '#sk3'))), 132.87/17.47 inference('renaming', [status(thm)], 132.87/17.47 [zip_derived_cl937, zip_derived_cl952])). 132.87/17.47 thf(zip_derived_cl982, plain, 132.87/17.47 (( (((mand @ (mbox @ (qmltpeq @ (op @ e2 @ e2) @ e2)) @ 132.87/17.47 (mbox @ (qmltpeq @ (op @ e3 @ e3) @ e2)) @ '#sk3') & (mbox @ 132.87/17.47 (qmltpeq @ (op @ e1 @ e1) @ e2) @ '#sk3'))) 132.87/17.47 | ('#form2' @ '#sk3' @ (op @ e0 @ e0) @ e1) 132.87/17.47 | ('#form2' @ '#sk3' @ (op @ e0 @ e0) @ e0) 132.87/17.47 | ('#form4'))), 132.87/17.47 inference('rw_clause', [status(thm)], [zip_derived_cl959, '3'])). 132.87/17.47 thf(zip_derived_cl1008, plain, 132.87/17.47 (( (mand @ (mbox @ (qmltpeq @ (op @ e2 @ e2) @ e2)) @ 132.87/17.47 (mbox @ (qmltpeq @ (op @ e3 @ e3) @ e2)) @ '#sk3') 132.87/17.47 | ('#form4') 132.87/17.47 | ('#form2' @ '#sk3' @ (op @ e0 @ e0) @ e0) 132.87/17.47 | ('#form2' @ '#sk3' @ (op @ e0 @ e0) @ e1))), 132.87/17.47 inference('lazy_cnf_and', [status(thm)], [zip_derived_cl982])). 132.87/17.47 thf(zip_derived_cl1034, plain, 132.87/17.47 (( (((mbox @ (qmltpeq @ (op @ e3 @ e3) @ e2) @ '#sk3') & (mbox @ 132.87/17.47 (qmltpeq @ (op @ e2 @ e2) @ e2) @ '#sk3'))) 132.87/17.47 | ('#form2' @ '#sk3' @ (op @ e0 @ e0) @ e1) 132.87/17.47 | ('#form2' @ '#sk3' @ (op @ e0 @ e0) @ e0) 132.87/17.47 | ('#form4'))), 132.87/17.47 inference('rw_clause', [status(thm)], [zip_derived_cl1008, '3'])). 132.87/17.47 thf(zip_derived_cl1067, plain, 132.87/17.47 (( (mbox @ (qmltpeq @ (op @ e2 @ e2) @ e2) @ '#sk3') 132.87/17.47 | ('#form4') 132.87/17.47 | ('#form2' @ '#sk3' @ (op @ e0 @ e0) @ e0) 132.87/17.47 | ('#form2' @ '#sk3' @ (op @ e0 @ e0) @ e1))), 132.87/17.47 inference('lazy_cnf_and', [status(thm)], [zip_derived_cl1034])). 132.87/17.47 thf(zip_derived_cl1097, plain, 132.87/17.47 (( (((!!) @ (^[Y0 : mworld]: 132.87/17.47 (((mrel @ '#sk3' @ Y0) => (qmltpeq @ (op @ e2 @ e2) @ 132.87/17.47 e2 @ Y0)))))) 132.87/17.47 | ('#form2' @ '#sk3' @ (op @ e0 @ e0) @ e1) 132.87/17.47 | ('#form2' @ '#sk3' @ (op @ e0 @ e0) @ e0) 132.87/17.47 | ('#form4'))), 132.87/17.47 inference('rw_clause', [status(thm)], [zip_derived_cl1067, '4'])). 132.87/17.47 thf(zip_derived_cl256, plain, 132.87/17.47 (![X3 : mworld, X6 : $i, X7 : $i]: 132.87/17.47 (~ ('#form2' @ X3 @ X6 @ X7) 132.87/17.47 | (((!!) @ (^[Y0 : mworld]: 132.87/17.47 (((mrel @ X3 @ Y0) => (qmltpeq @ X6 @ X7 @ Y0)))))))), 132.87/17.47 define([status(thm)])). 132.87/17.47 thf(zip_derived_cl190, plain, 132.87/17.47 (![X3 : mworld, X6 : $i, X7 : $i]: 132.87/17.47 ( ('#form2' @ X3 @ X6 @ X7) 132.87/17.47 | ~ (((!!) @ (^[Y0 : mworld]: 132.87/17.47 (((mrel @ X3 @ Y0) => (qmltpeq @ X6 @ X7 @ Y0)))))))), 132.87/17.47 define([status(thm)])). 132.87/17.47 thf(zip_derived_cl1136, plain, 132.87/17.47 (( ('#form2' @ '#sk3' @ (op @ e2 @ e2) @ e2) 132.87/17.47 | ('#form4') 132.87/17.47 | ('#form2' @ '#sk3' @ (op @ e0 @ e0) @ e0) 132.87/17.47 | ('#form2' @ '#sk3' @ (op @ e0 @ e0) @ e1))), 132.87/17.47 inference('renaming', [status(thm)], 132.87/17.47 [zip_derived_cl1097, zip_derived_cl256, zip_derived_cl190])). 132.87/17.47 thf(zip_derived_cl1066, plain, 132.87/17.47 (( (mbox @ (qmltpeq @ (op @ e3 @ e3) @ e2) @ '#sk3') 132.87/17.47 | ('#form4') 132.87/17.47 | ('#form2' @ '#sk3' @ (op @ e0 @ e0) @ e0) 132.87/17.47 | ('#form2' @ '#sk3' @ (op @ e0 @ e0) @ e1))), 132.87/17.47 inference('lazy_cnf_and', [status(thm)], [zip_derived_cl1034])). 132.87/17.47 thf(zip_derived_cl1096, plain, 132.87/17.47 (( (((!!) @ (^[Y0 : mworld]: 132.87/17.47 (((mrel @ '#sk3' @ Y0) => (qmltpeq @ (op @ e3 @ e3) @ 132.87/17.47 e2 @ Y0)))))) 132.87/17.47 | ('#form2' @ '#sk3' @ (op @ e0 @ e0) @ e1) 132.87/17.47 | ('#form2' @ '#sk3' @ (op @ e0 @ e0) @ e0) 132.87/17.47 | ('#form4'))), 132.87/17.47 inference('rw_clause', [status(thm)], [zip_derived_cl1066, '4'])). 132.87/17.47 thf(zip_derived_cl256, plain, 132.87/17.47 (![X3 : mworld, X6 : $i, X7 : $i]: 132.87/17.47 (~ ('#form2' @ X3 @ X6 @ X7) 132.87/17.47 | (((!!) @ (^[Y0 : mworld]: 132.87/17.47 (((mrel @ X3 @ Y0) => (qmltpeq @ X6 @ X7 @ Y0)))))))), 132.87/17.47 define([status(thm)])). 132.87/17.47 thf(zip_derived_cl190, plain, 132.87/17.47 (![X3 : mworld, X6 : $i, X7 : $i]: 132.87/17.47 ( ('#form2' @ X3 @ X6 @ X7) 132.87/17.47 | ~ (((!!) @ (^[Y0 : mworld]: 132.87/17.47 (((mrel @ X3 @ Y0) => (qmltpeq @ X6 @ X7 @ Y0)))))))), 132.87/17.47 define([status(thm)])). 132.87/17.47 thf(zip_derived_cl1135, plain, 132.87/17.47 (( ('#form2' @ '#sk3' @ (op @ e3 @ e3) @ e2) 132.87/17.47 | ('#form4') 132.87/17.47 | ('#form2' @ '#sk3' @ (op @ e0 @ e0) @ e0) 132.87/17.47 | ('#form2' @ '#sk3' @ (op @ e0 @ e0) @ e1))), 132.87/17.47 inference('renaming', [status(thm)], 132.87/17.47 [zip_derived_cl1096, zip_derived_cl256, zip_derived_cl190])). 132.87/17.47 thf(zip_derived_cl1009, plain, 132.87/17.47 (( (mbox @ (qmltpeq @ (op @ e1 @ e1) @ e2) @ '#sk3') 132.87/17.47 | ('#form4') 132.87/17.47 | ('#form2' @ '#sk3' @ (op @ e0 @ e0) @ e0) 132.87/17.47 | ('#form2' @ '#sk3' @ (op @ e0 @ e0) @ e1))), 132.87/17.47 inference('lazy_cnf_and', [status(thm)], [zip_derived_cl982])). 132.87/17.47 thf(zip_derived_cl1035, plain, 132.87/17.47 (( (((!!) @ (^[Y0 : mworld]: 132.87/17.47 (((mrel @ '#sk3' @ Y0) => (qmltpeq @ (op @ e1 @ e1) @ 132.87/17.47 e2 @ Y0)))))) 132.87/17.47 | ('#form2' @ '#sk3' @ (op @ e0 @ e0) @ e1) 132.87/17.47 | ('#form2' @ '#sk3' @ (op @ e0 @ e0) @ e0) 132.87/17.47 | ('#form4'))), 132.87/17.47 inference('rw_clause', [status(thm)], [zip_derived_cl1009, '4'])). 132.87/17.47 thf(zip_derived_cl256, plain, 132.87/17.47 (![X3 : mworld, X6 : $i, X7 : $i]: 132.87/17.47 (~ ('#form2' @ X3 @ X6 @ X7) 132.87/17.47 | (((!!) @ (^[Y0 : mworld]: 132.87/17.47 (((mrel @ X3 @ Y0) => (qmltpeq @ X6 @ X7 @ Y0)))))))), 132.87/17.47 define([status(thm)])). 132.87/17.47 thf(zip_derived_cl190, plain, 132.87/17.47 (![X3 : mworld, X6 : $i, X7 : $i]: 132.87/17.47 ( ('#form2' @ X3 @ X6 @ X7) 132.87/17.47 | ~ (((!!) @ (^[Y0 : mworld]: 132.87/17.47 (((mrel @ X3 @ Y0) => (qmltpeq @ X6 @ X7 @ Y0)))))))), 132.87/17.47 define([status(thm)])). 132.87/17.47 thf(zip_derived_cl1068, plain, 132.87/17.47 (( ('#form2' @ '#sk3' @ (op @ e1 @ e1) @ e2) 132.87/17.47 | ('#form4') 132.87/17.47 | ('#form2' @ '#sk3' @ (op @ e0 @ e0) @ e0) 132.87/17.47 | ('#form2' @ '#sk3' @ (op @ e0 @ e0) @ e1))), 132.87/17.47 inference('renaming', [status(thm)], 132.87/17.47 [zip_derived_cl1035, zip_derived_cl256, zip_derived_cl190])). 132.87/17.47 thf(zip_derived_cl1007, plain, 132.87/17.47 (( (mbox @ (qmltpeq @ (op @ e0 @ e0) @ e2) @ '#sk3') 132.87/17.47 | ('#form4') 132.87/17.47 | ('#form2' @ '#sk3' @ (op @ e0 @ e0) @ e0) 132.87/17.47 | ('#form2' @ '#sk3' @ (op @ e1 @ e1) @ e1))), 132.87/17.47 inference('lazy_cnf_and', [status(thm)], [zip_derived_cl981])). 132.87/17.47 thf(zip_derived_cl1033, plain, 132.87/17.47 (( (((!!) @ (^[Y0 : mworld]: 132.87/17.47 (((mrel @ '#sk3' @ Y0) => (qmltpeq @ (op @ e0 @ e0) @ 132.87/17.47 e2 @ Y0)))))) 132.87/17.47 | ('#form2' @ '#sk3' @ (op @ e1 @ e1) @ e1) 132.87/17.47 | ('#form2' @ '#sk3' @ (op @ e0 @ e0) @ e0) 132.87/17.47 | ('#form4'))), 132.87/17.47 inference('rw_clause', [status(thm)], [zip_derived_cl1007, '4'])). 132.87/17.47 thf(zip_derived_cl256, plain, 132.87/17.47 (![X3 : mworld, X6 : $i, X7 : $i]: 132.87/17.47 (~ ('#form2' @ X3 @ X6 @ X7) 132.87/17.47 | (((!!) @ (^[Y0 : mworld]: 132.87/17.47 (((mrel @ X3 @ Y0) => (qmltpeq @ X6 @ X7 @ Y0)))))))), 132.87/17.47 define([status(thm)])). 132.87/17.47 thf(zip_derived_cl190, plain, 132.87/17.47 (![X3 : mworld, X6 : $i, X7 : $i]: 132.87/17.47 ( ('#form2' @ X3 @ X6 @ X7) 132.87/17.47 | ~ (((!!) @ (^[Y0 : mworld]: 132.87/17.47 (((mrel @ X3 @ Y0) => (qmltpeq @ X6 @ X7 @ Y0)))))))), 132.87/17.47 define([status(thm)])). 132.87/17.47 thf(zip_derived_cl1065, plain, 132.87/17.47 (( ('#form2' @ '#sk3' @ (op @ e0 @ e0) @ e2) 132.87/17.47 | ('#form4') 132.87/17.47 | ('#form2' @ '#sk3' @ (op @ e0 @ e0) @ e0) 132.87/17.47 | ('#form2' @ '#sk3' @ (op @ e1 @ e1) @ e1))), 132.87/17.47 inference('renaming', [status(thm)], 132.87/17.47 [zip_derived_cl1033, zip_derived_cl256, zip_derived_cl190])). 132.87/17.47 thf(zip_derived_cl1062, plain, 132.87/17.47 (( (mbox @ (qmltpeq @ (op @ e0 @ e0) @ e2) @ '#sk3') 132.87/17.47 | ('#form4') 132.87/17.47 | ('#form2' @ '#sk3' @ (op @ e0 @ e0) @ e0) 132.87/17.47 | ('#form2' @ '#sk3' @ (op @ e2 @ e2) @ e1))), 132.87/17.47 inference('lazy_cnf_and', [status(thm)], [zip_derived_cl1031])). 132.87/17.47 thf(zip_derived_cl1093, plain, 132.87/17.47 (( (((!!) @ (^[Y0 : mworld]: 132.87/17.47 (((mrel @ '#sk3' @ Y0) => (qmltpeq @ (op @ e0 @ e0) @ 132.87/17.47 e2 @ Y0)))))) 132.87/17.47 | ('#form2' @ '#sk3' @ (op @ e2 @ e2) @ e1) 132.87/17.47 | ('#form2' @ '#sk3' @ (op @ e0 @ e0) @ e0) 132.87/17.47 | ('#form4'))), 132.87/17.47 inference('rw_clause', [status(thm)], [zip_derived_cl1062, '4'])). 132.87/17.47 thf(zip_derived_cl256, plain, 132.87/17.47 (![X3 : mworld, X6 : $i, X7 : $i]: 132.87/17.47 (~ ('#form2' @ X3 @ X6 @ X7) 132.87/17.47 | (((!!) @ (^[Y0 : mworld]: 132.87/17.47 (((mrel @ X3 @ Y0) => (qmltpeq @ X6 @ X7 @ Y0)))))))), 132.87/17.47 define([status(thm)])). 132.87/17.47 thf(zip_derived_cl190, plain, 132.87/17.47 (![X3 : mworld, X6 : $i, X7 : $i]: 132.87/17.47 ( ('#form2' @ X3 @ X6 @ X7) 132.87/17.47 | ~ (((!!) @ (^[Y0 : mworld]: 132.87/17.47 (((mrel @ X3 @ Y0) => (qmltpeq @ X6 @ X7 @ Y0)))))))), 132.87/17.47 define([status(thm)])). 132.87/17.47 thf(zip_derived_cl1131, plain, 132.87/17.47 (( ('#form2' @ '#sk3' @ (op @ e0 @ e0) @ e2) 132.87/17.47 | ('#form4') 132.87/17.47 | ('#form2' @ '#sk3' @ (op @ e0 @ e0) @ e0) 132.87/17.47 | ('#form2' @ '#sk3' @ (op @ e2 @ e2) @ e1))), 132.87/17.47 inference('renaming', [status(thm)], 132.87/17.47 [zip_derived_cl1093, zip_derived_cl256, zip_derived_cl190])). 132.87/17.47 thf(zip_derived_cl1060, plain, 132.87/17.47 (( (mbox @ (qmltpeq @ (op @ e0 @ e0) @ e2) @ '#sk3') 132.87/17.47 | ('#form4') 132.87/17.47 | ('#form2' @ '#sk3' @ (op @ e0 @ e0) @ e0) 132.87/17.47 | ('#form2' @ '#sk3' @ (op @ e3 @ e3) @ e1))), 132.87/17.47 inference('lazy_cnf_and', [status(thm)], [zip_derived_cl1030])). 132.87/17.47 thf(zip_derived_cl1091, plain, 132.87/17.47 (( (((!!) @ (^[Y0 : mworld]: 132.87/17.47 (((mrel @ '#sk3' @ Y0) => (qmltpeq @ (op @ e0 @ e0) @ 132.87/17.47 e2 @ Y0)))))) 132.87/17.47 | ('#form2' @ '#sk3' @ (op @ e3 @ e3) @ e1) 132.87/17.47 | ('#form2' @ '#sk3' @ (op @ e0 @ e0) @ e0) 132.87/17.47 | ('#form4'))), 132.87/17.47 inference('rw_clause', [status(thm)], [zip_derived_cl1060, '4'])). 132.87/17.47 thf(zip_derived_cl256, plain, 132.87/17.47 (![X3 : mworld, X6 : $i, X7 : $i]: 132.87/17.47 (~ ('#form2' @ X3 @ X6 @ X7) 132.87/17.47 | (((!!) @ (^[Y0 : mworld]: 132.87/17.47 (((mrel @ X3 @ Y0) => (qmltpeq @ X6 @ X7 @ Y0)))))))), 132.87/17.47 define([status(thm)])). 132.87/17.47 thf(zip_derived_cl190, plain, 132.87/17.47 (![X3 : mworld, X6 : $i, X7 : $i]: 132.87/17.47 ( ('#form2' @ X3 @ X6 @ X7) 132.87/17.47 | ~ (((!!) @ (^[Y0 : mworld]: 132.87/17.47 (((mrel @ X3 @ Y0) => (qmltpeq @ X6 @ X7 @ Y0)))))))), 132.87/17.47 define([status(thm)])). 132.87/17.47 thf(zip_derived_cl1128, plain, 132.87/17.47 (( ('#form2' @ '#sk3' @ (op @ e0 @ e0) @ e2) 132.87/17.47 | ('#form4') 132.87/17.47 | ('#form2' @ '#sk3' @ (op @ e0 @ e0) @ e0) 132.87/17.47 | ('#form2' @ '#sk3' @ (op @ e3 @ e3) @ e1))), 132.87/17.47 inference('renaming', [status(thm)], 132.87/17.47 [zip_derived_cl1091, zip_derived_cl256, zip_derived_cl190])). 132.87/17.47 thf(zip_derived_cl938, plain, 132.87/17.47 (( (mbox @ (qmltpeq @ (op @ e0 @ e0) @ e2) @ '#sk3') 132.87/17.47 | (((mand @ (mbox @ (qmltpeq @ (op @ e1 @ e1) @ e3)) @ 132.87/17.47 (mand @ (mbox @ (qmltpeq @ (op @ e2 @ e2) @ e3)) @ 132.87/17.47 (mbox @ (qmltpeq @ (op @ e3 @ e3) @ e3))) @ 132.87/17.47 '#sk3') & (mbox @ (qmltpeq @ (op @ e0 @ e0) @ e3) @ '#sk3'))) 132.87/17.47 | ('#form2' @ '#sk3' @ (op @ e0 @ e0) @ e1) 132.87/17.47 | ('#form2' @ '#sk3' @ (op @ e0 @ e0) @ e0))), 132.87/17.47 inference('lazy_cnf_and', [status(thm)], [zip_derived_cl919])). 132.87/17.47 thf(zip_derived_cl952, plain, 132.87/17.47 ((~ ('#form4') 132.87/17.47 | (((mand @ (mbox @ (qmltpeq @ (op @ e1 @ e1) @ e3)) @ 132.87/17.47 (mand @ (mbox @ (qmltpeq @ (op @ e2 @ e2) @ e3)) @ 132.87/17.47 (mbox @ (qmltpeq @ (op @ e3 @ e3) @ e3))) @ 132.87/17.47 '#sk3') & (mbox @ (qmltpeq @ (op @ e0 @ e0) @ e3) @ '#sk3'))))), 132.87/17.47 define([status(thm)])). 132.87/17.47 thf(zip_derived_cl960, plain, 132.87/17.47 (( ('#form4') 132.87/17.47 | ('#form2' @ '#sk3' @ (op @ e0 @ e0) @ e0) 132.87/17.47 | ('#form2' @ '#sk3' @ (op @ e0 @ e0) @ e1) 132.87/17.47 | (mbox @ (qmltpeq @ (op @ e0 @ e0) @ e2) @ '#sk3'))), 132.87/17.47 inference('renaming', [status(thm)], 132.87/17.47 [zip_derived_cl938, zip_derived_cl952])). 132.87/17.47 thf(zip_derived_cl983, plain, 132.87/17.47 (( (((!!) @ (^[Y0 : mworld]: 132.87/17.47 (((mrel @ '#sk3' @ Y0) => (qmltpeq @ (op @ e0 @ e0) @ 132.87/17.47 e2 @ Y0)))))) 132.87/17.47 | ('#form2' @ '#sk3' @ (op @ e0 @ e0) @ e1) 132.87/17.47 | ('#form2' @ '#sk3' @ (op @ e0 @ e0) @ e0) 132.87/17.47 | ('#form4'))), 132.87/17.47 inference('rw_clause', [status(thm)], [zip_derived_cl960, '4'])). 132.87/17.47 thf(zip_derived_cl256, plain, 132.87/17.47 (![X3 : mworld, X6 : $i, X7 : $i]: 132.87/17.47 (~ ('#form2' @ X3 @ X6 @ X7) 132.87/17.47 | (((!!) @ (^[Y0 : mworld]: 132.87/17.47 (((mrel @ X3 @ Y0) => (qmltpeq @ X6 @ X7 @ Y0)))))))), 132.87/17.47 define([status(thm)])). 132.87/17.47 thf(zip_derived_cl190, plain, 132.87/17.47 (![X3 : mworld, X6 : $i, X7 : $i]: 132.87/17.47 ( ('#form2' @ X3 @ X6 @ X7) 132.87/17.47 | ~ (((!!) @ (^[Y0 : mworld]: 132.87/17.47 (((mrel @ X3 @ Y0) => (qmltpeq @ X6 @ X7 @ Y0)))))))), 132.87/17.47 define([status(thm)])). 132.87/17.47 thf(zip_derived_cl1010, plain, 132.87/17.47 (( ('#form2' @ '#sk3' @ (op @ e0 @ e0) @ e2) 132.87/17.47 | ('#form4') 132.87/17.47 | ('#form2' @ '#sk3' @ (op @ e0 @ e0) @ e0) 132.87/17.47 | ('#form2' @ '#sk3' @ (op @ e0 @ e0) @ e1))), 132.87/17.47 inference('renaming', [status(thm)], 132.87/17.47 [zip_derived_cl983, zip_derived_cl256, zip_derived_cl190])). 132.87/17.47 thf(mrel_reflexive, axiom, (![W:mworld]: ( mrel @ W @ W ))). 132.87/17.47 thf(zip_derived_cl10, plain, 132.87/17.47 ( (((!!) @ (^[Y0 : mworld]: (mrel @ Y0 @ Y0))))), 132.87/17.47 inference('cnf', [status(esa)], [mrel_reflexive])). 132.87/17.47 thf(zip_derived_cl23, plain, (![X2 : mworld]: (mrel @ X2 @ X2)), 132.87/17.47 inference('lazy_cnf_forall', [status(thm)], [zip_derived_cl10])). 132.87/17.47 thf(zip_derived_cl843, plain, 132.87/17.47 (![X0 : mworld]: 132.87/17.47 (~ (mand @ (mbox @ (qmltpeq @ (op @ e0 @ e0) @ e2)) @ 132.87/17.47 (mand @ (mbox @ (qmltpeq @ (op @ e1 @ e1) @ e2)) @ 132.87/17.47 (mand @ (mbox @ (qmltpeq @ (op @ e2 @ e2) @ e2)) @ 132.87/17.47 (mbox @ (qmltpeq @ (op @ e3 @ e3) @ e2)))) @ 132.87/17.47 X0) 132.87/17.47 | ~ (mrel @ '#sk3' @ X0))), 132.87/17.47 inference('lazy_cnf_or', [status(thm)], [zip_derived_cl835])). 132.87/17.47 thf(zip_derived_cl851, plain, 132.87/17.47 (![X0 : mworld]: 132.87/17.47 (~ (((mbox @ (qmltpeq @ (op @ e0 @ e0) @ e2) @ X0) & (mand @ 132.87/17.47 (mbox @ (qmltpeq @ (op @ e1 @ e1) @ e2)) @ 132.87/17.47 (mand @ (mbox @ (qmltpeq @ (op @ e2 @ e2) @ e2)) @ 132.87/17.47 (mbox @ (qmltpeq @ (op @ e3 @ e3) @ e2))) @ 132.87/17.47 X0))) 132.87/17.47 | ~ (mrel @ '#sk3' @ X0))), 132.87/17.47 inference('rw_clause', [status(thm)], [zip_derived_cl843, '7'])). 132.87/17.47 thf(zip_derived_cl860, plain, 132.87/17.47 (![X0 : mworld]: 132.87/17.47 (~ (mbox @ (qmltpeq @ (op @ e0 @ e0) @ e2) @ X0) 132.87/17.47 | ~ (mand @ (mbox @ (qmltpeq @ (op @ e1 @ e1) @ e2)) @ 132.87/17.47 (mand @ (mbox @ (qmltpeq @ (op @ e2 @ e2) @ e2)) @ 132.87/17.47 (mbox @ (qmltpeq @ (op @ e3 @ e3) @ e2))) @ 132.87/17.47 X0) 132.87/17.47 | ~ (mrel @ '#sk3' @ X0))), 132.87/17.47 inference('lazy_cnf_and', [status(thm)], [zip_derived_cl851])). 132.87/17.47 thf(zip_derived_cl869, plain, 132.87/17.47 (![X0 : mworld]: 132.87/17.47 (~ (((!!) @ (^[Y0 : mworld]: 132.87/17.47 (((mrel @ X0 @ Y0) => (qmltpeq @ (op @ e0 @ e0) @ e2 @ 132.87/17.47 Y0)))))) 132.87/17.47 | ~ (mrel @ '#sk3' @ X0) 132.87/17.47 | ~ (mand @ (mbox @ (qmltpeq @ (op @ e1 @ e1) @ e2)) @ 132.87/17.47 (mand @ (mbox @ (qmltpeq @ (op @ e2 @ e2) @ e2)) @ 132.87/17.47 (mbox @ (qmltpeq @ (op @ e3 @ e3) @ e2))) @ 132.87/17.47 X0))), 132.87/17.47 inference('rw_clause', [status(thm)], [zip_derived_cl860, '1'])). 132.87/17.47 thf(zip_derived_cl256, plain, 132.87/17.47 (![X3 : mworld, X6 : $i, X7 : $i]: 132.87/17.47 (~ ('#form2' @ X3 @ X6 @ X7) 132.87/17.47 | (((!!) @ (^[Y0 : mworld]: 132.87/17.47 (((mrel @ X3 @ Y0) => (qmltpeq @ X6 @ X7 @ Y0)))))))), 132.87/17.47 define([status(thm)])). 132.87/17.47 thf(zip_derived_cl190, plain, 132.87/17.47 (![X3 : mworld, X6 : $i, X7 : $i]: 132.87/17.47 ( ('#form2' @ X3 @ X6 @ X7) 132.87/17.47 | ~ (((!!) @ (^[Y0 : mworld]: 132.87/17.47 (((mrel @ X3 @ Y0) => (qmltpeq @ X6 @ X7 @ Y0)))))))), 132.87/17.47 define([status(thm)])). 132.87/17.47 thf(zip_derived_cl880, plain, 132.87/17.47 (![X0 : mworld]: 132.87/17.47 (~ ('#form2' @ X0 @ (op @ e0 @ e0) @ e2) 132.87/17.47 | ~ (mand @ (mbox @ (qmltpeq @ (op @ e1 @ e1) @ e2)) @ 132.87/17.47 (mand @ (mbox @ (qmltpeq @ (op @ e2 @ e2) @ e2)) @ 132.87/17.47 (mbox @ (qmltpeq @ (op @ e3 @ e3) @ e2))) @ 132.87/17.47 X0) 132.87/17.47 | ~ (mrel @ '#sk3' @ X0))), 132.87/17.47 inference('renaming', [status(thm)], 132.87/17.47 [zip_derived_cl869, zip_derived_cl256, zip_derived_cl190])). 132.87/17.47 thf(zip_derived_cl891, plain, 132.87/17.47 (![X0 : mworld]: 132.87/17.47 (~ (((mbox @ (qmltpeq @ (op @ e1 @ e1) @ e2) @ X0) & (mand @ 132.87/17.47 (mbox @ (qmltpeq @ (op @ e2 @ e2) @ e2)) @ 132.87/17.47 (mbox @ (qmltpeq @ (op @ e3 @ e3) @ e2)) @ X0))) 132.87/17.47 | ~ (mrel @ '#sk3' @ X0) 132.87/17.47 | ~ ('#form2' @ X0 @ (op @ e0 @ e0) @ e2))), 132.87/17.47 inference('rw_clause', [status(thm)], [zip_derived_cl880, '7'])). 132.87/17.47 thf(zip_derived_cl906, plain, 132.87/17.47 (![X0 : mworld]: 132.87/17.47 (~ (mbox @ (qmltpeq @ (op @ e1 @ e1) @ e2) @ X0) 132.87/17.47 | ~ (mand @ (mbox @ (qmltpeq @ (op @ e2 @ e2) @ e2)) @ 132.87/17.47 (mbox @ (qmltpeq @ (op @ e3 @ e3) @ e2)) @ X0) 132.87/17.47 | ~ ('#form2' @ X0 @ (op @ e0 @ e0) @ e2) 132.87/17.47 | ~ (mrel @ '#sk3' @ X0))), 132.87/17.47 inference('lazy_cnf_and', [status(thm)], [zip_derived_cl891])). 132.87/17.47 thf(zip_derived_cl921, plain, 132.87/17.47 (![X0 : mworld]: 132.87/17.47 (~ (((!!) @ (^[Y0 : mworld]: 132.87/17.47 (((mrel @ X0 @ Y0) => (qmltpeq @ (op @ e1 @ e1) @ e2 @ 132.87/17.47 Y0)))))) 132.87/17.47 | ~ (mrel @ '#sk3' @ X0) 132.87/17.47 | ~ ('#form2' @ X0 @ (op @ e0 @ e0) @ e2) 132.87/17.47 | ~ (mand @ (mbox @ (qmltpeq @ (op @ e2 @ e2) @ e2)) @ 132.87/17.47 (mbox @ (qmltpeq @ (op @ e3 @ e3) @ e2)) @ X0))), 132.87/17.47 inference('rw_clause', [status(thm)], [zip_derived_cl906, '1'])). 132.87/17.47 thf(zip_derived_cl256, plain, 132.87/17.47 (![X3 : mworld, X6 : $i, X7 : $i]: 132.87/17.47 (~ ('#form2' @ X3 @ X6 @ X7) 132.87/17.47 | (((!!) @ (^[Y0 : mworld]: 132.87/17.47 (((mrel @ X3 @ Y0) => (qmltpeq @ X6 @ X7 @ Y0)))))))), 132.87/17.47 define([status(thm)])). 132.87/17.47 thf(zip_derived_cl190, plain, 132.87/17.47 (![X3 : mworld, X6 : $i, X7 : $i]: 132.87/17.47 ( ('#form2' @ X3 @ X6 @ X7) 132.87/17.47 | ~ (((!!) @ (^[Y0 : mworld]: 132.87/17.47 (((mrel @ X3 @ Y0) => (qmltpeq @ X6 @ X7 @ Y0)))))))), 132.87/17.47 define([status(thm)])). 132.87/17.47 thf(zip_derived_cl940, plain, 132.87/17.47 (![X0 : mworld]: 132.87/17.47 (~ ('#form2' @ X0 @ (op @ e1 @ e1) @ e2) 132.87/17.47 | ~ (mand @ (mbox @ (qmltpeq @ (op @ e2 @ e2) @ e2)) @ 132.87/17.47 (mbox @ (qmltpeq @ (op @ e3 @ e3) @ e2)) @ X0) 132.87/17.47 | ~ ('#form2' @ X0 @ (op @ e0 @ e0) @ e2) 132.87/17.47 | ~ (mrel @ '#sk3' @ X0))), 132.87/17.47 inference('renaming', [status(thm)], 132.87/17.47 [zip_derived_cl921, zip_derived_cl256, zip_derived_cl190])). 132.87/17.47 thf(zip_derived_cl962, plain, 132.87/17.47 (![X0 : mworld]: 132.87/17.47 (~ (((mbox @ (qmltpeq @ (op @ e2 @ e2) @ e2) @ X0) & (mbox @ 132.87/17.47 (qmltpeq @ (op @ e3 @ e3) @ e2) @ X0))) 132.87/17.47 | ~ (mrel @ '#sk3' @ X0) 132.87/17.47 | ~ ('#form2' @ X0 @ (op @ e0 @ e0) @ e2) 132.87/17.47 | ~ ('#form2' @ X0 @ (op @ e1 @ e1) @ e2))), 132.87/17.47 inference('rw_clause', [status(thm)], [zip_derived_cl940, '7'])). 132.87/17.47 thf(zip_derived_cl985, plain, 132.87/17.47 (![X0 : mworld]: 132.87/17.47 (~ (mbox @ (qmltpeq @ (op @ e2 @ e2) @ e2) @ X0) 132.87/17.47 | ~ (mbox @ (qmltpeq @ (op @ e3 @ e3) @ e2) @ X0) 132.87/17.47 | ~ ('#form2' @ X0 @ (op @ e1 @ e1) @ e2) 132.87/17.47 | ~ ('#form2' @ X0 @ (op @ e0 @ e0) @ e2) 132.87/17.47 | ~ (mrel @ '#sk3' @ X0))), 132.87/17.47 inference('lazy_cnf_and', [status(thm)], [zip_derived_cl962])). 132.87/17.47 thf(zip_derived_cl1012, plain, 132.87/17.47 (![X0 : mworld]: 132.87/17.47 (~ (((!!) @ (^[Y0 : mworld]: 132.87/17.47 (((mrel @ X0 @ Y0) => (qmltpeq @ (op @ e2 @ e2) @ e2 @ 132.87/17.47 Y0)))))) 132.87/17.47 | ~ (mrel @ '#sk3' @ X0) 132.87/17.47 | ~ ('#form2' @ X0 @ (op @ e0 @ e0) @ e2) 132.87/17.47 | ~ ('#form2' @ X0 @ (op @ e1 @ e1) @ e2) 132.87/17.47 | ~ (mbox @ (qmltpeq @ (op @ e3 @ e3) @ e2) @ X0))), 132.87/17.47 inference('rw_clause', [status(thm)], [zip_derived_cl985, '1'])). 132.87/17.47 thf(zip_derived_cl256, plain, 132.87/17.47 (![X3 : mworld, X6 : $i, X7 : $i]: 132.87/17.47 (~ ('#form2' @ X3 @ X6 @ X7) 132.87/17.47 | (((!!) @ (^[Y0 : mworld]: 132.87/17.47 (((mrel @ X3 @ Y0) => (qmltpeq @ X6 @ X7 @ Y0)))))))), 132.87/17.47 define([status(thm)])). 132.87/17.47 thf(zip_derived_cl190, plain, 132.87/17.47 (![X3 : mworld, X6 : $i, X7 : $i]: 132.87/17.47 ( ('#form2' @ X3 @ X6 @ X7) 132.87/17.47 | ~ (((!!) @ (^[Y0 : mworld]: 132.87/17.47 (((mrel @ X3 @ Y0) => (qmltpeq @ X6 @ X7 @ Y0)))))))), 132.87/17.47 define([status(thm)])). 132.87/17.47 thf(zip_derived_cl1037, plain, 132.87/17.47 (![X0 : mworld]: 132.87/17.47 (~ ('#form2' @ X0 @ (op @ e2 @ e2) @ e2) 132.87/17.47 | ~ (mbox @ (qmltpeq @ (op @ e3 @ e3) @ e2) @ X0) 132.87/17.47 | ~ ('#form2' @ X0 @ (op @ e1 @ e1) @ e2) 132.87/17.47 | ~ ('#form2' @ X0 @ (op @ e0 @ e0) @ e2) 132.87/17.47 | ~ (mrel @ '#sk3' @ X0))), 132.87/17.47 inference('renaming', [status(thm)], 132.87/17.47 [zip_derived_cl1012, zip_derived_cl256, zip_derived_cl190])). 132.87/17.47 thf(zip_derived_cl1070, plain, 132.87/17.47 (![X0 : mworld]: 132.87/17.47 (~ (((!!) @ (^[Y0 : mworld]: 132.87/17.47 (((mrel @ X0 @ Y0) => (qmltpeq @ (op @ e3 @ e3) @ e2 @ 132.87/17.47 Y0)))))) 132.87/17.47 | ~ (mrel @ '#sk3' @ X0) 132.87/17.47 | ~ ('#form2' @ X0 @ (op @ e0 @ e0) @ e2) 132.87/17.47 | ~ ('#form2' @ X0 @ (op @ e1 @ e1) @ e2) 132.87/17.47 | ~ ('#form2' @ X0 @ (op @ e2 @ e2) @ e2))), 132.87/17.47 inference('rw_clause', [status(thm)], [zip_derived_cl1037, '1'])). 132.87/17.47 thf(zip_derived_cl256, plain, 132.87/17.47 (![X3 : mworld, X6 : $i, X7 : $i]: 132.87/17.47 (~ ('#form2' @ X3 @ X6 @ X7) 132.87/17.47 | (((!!) @ (^[Y0 : mworld]: 132.87/17.47 (((mrel @ X3 @ Y0) => (qmltpeq @ X6 @ X7 @ Y0)))))))), 132.87/17.47 define([status(thm)])). 132.87/17.47 thf(zip_derived_cl190, plain, 132.87/17.47 (![X3 : mworld, X6 : $i, X7 : $i]: 132.87/17.47 ( ('#form2' @ X3 @ X6 @ X7) 132.87/17.47 | ~ (((!!) @ (^[Y0 : mworld]: 132.87/17.47 (((mrel @ X3 @ Y0) => (qmltpeq @ X6 @ X7 @ Y0)))))))), 132.87/17.47 define([status(thm)])). 132.87/17.47 thf(zip_derived_cl1099, plain, 132.87/17.47 (![X0 : mworld]: 132.87/17.47 (~ ('#form2' @ X0 @ (op @ e3 @ e3) @ e2) 132.87/17.47 | ~ ('#form2' @ X0 @ (op @ e2 @ e2) @ e2) 132.87/17.47 | ~ ('#form2' @ X0 @ (op @ e1 @ e1) @ e2) 132.87/17.47 | ~ ('#form2' @ X0 @ (op @ e0 @ e0) @ e2) 132.87/17.47 | ~ (mrel @ '#sk3' @ X0))), 132.87/17.47 inference('renaming', [status(thm)], 132.87/17.47 [zip_derived_cl1070, zip_derived_cl256, zip_derived_cl190])). 132.87/17.47 thf(zip_derived_cl830, plain, 132.87/17.47 (![X0 : mworld]: 132.87/17.47 (~ (mand @ (mbox @ (qmltpeq @ (op @ e0 @ e0) @ e1)) @ 132.87/17.47 (mand @ (mbox @ (qmltpeq @ (op @ e1 @ e1) @ e1)) @ 132.87/17.47 (mand @ (mbox @ (qmltpeq @ (op @ e2 @ e2) @ e1)) @ 132.87/17.47 (mbox @ (qmltpeq @ (op @ e3 @ e3) @ e1)))) @ 132.87/17.47 X0) 132.87/17.47 | ~ (mrel @ '#sk3' @ X0))), 132.87/17.47 inference('lazy_cnf_or', [status(thm)], [zip_derived_cl824])). 132.87/17.47 thf(zip_derived_cl836, plain, 132.87/17.47 (![X0 : mworld]: 132.87/17.47 (~ (((mbox @ (qmltpeq @ (op @ e0 @ e0) @ e1) @ X0) & (mand @ 132.87/17.47 (mbox @ (qmltpeq @ (op @ e1 @ e1) @ e1)) @ 132.87/17.47 (mand @ (mbox @ (qmltpeq @ (op @ e2 @ e2) @ e1)) @ 132.87/17.47 (mbox @ (qmltpeq @ (op @ e3 @ e3) @ e1))) @ 132.87/17.47 X0))) 132.87/17.47 | ~ (mrel @ '#sk3' @ X0))), 132.87/17.47 inference('rw_clause', [status(thm)], [zip_derived_cl830, '7'])). 132.87/17.47 thf(zip_derived_cl844, plain, 132.87/17.47 (![X0 : mworld]: 132.87/17.47 (~ (mbox @ (qmltpeq @ (op @ e0 @ e0) @ e1) @ X0) 132.87/17.47 | ~ (mand @ (mbox @ (qmltpeq @ (op @ e1 @ e1) @ e1)) @ 132.87/17.47 (mand @ (mbox @ (qmltpeq @ (op @ e2 @ e2) @ e1)) @ 132.87/17.47 (mbox @ (qmltpeq @ (op @ e3 @ e3) @ e1))) @ 132.87/17.47 X0) 132.87/17.47 | ~ (mrel @ '#sk3' @ X0))), 132.87/17.47 inference('lazy_cnf_and', [status(thm)], [zip_derived_cl836])). 132.87/17.47 thf(zip_derived_cl852, plain, 132.87/17.47 (![X0 : mworld]: 132.87/17.47 (~ (((!!) @ (^[Y0 : mworld]: 132.87/17.47 (((mrel @ X0 @ Y0) => (qmltpeq @ (op @ e0 @ e0) @ e1 @ 132.87/17.47 Y0)))))) 132.87/17.47 | ~ (mrel @ '#sk3' @ X0) 132.87/17.47 | ~ (mand @ (mbox @ (qmltpeq @ (op @ e1 @ e1) @ e1)) @ 132.87/17.47 (mand @ (mbox @ (qmltpeq @ (op @ e2 @ e2) @ e1)) @ 132.87/17.47 (mbox @ (qmltpeq @ (op @ e3 @ e3) @ e1))) @ 132.87/17.47 X0))), 132.87/17.47 inference('rw_clause', [status(thm)], [zip_derived_cl844, '1'])). 132.87/17.47 thf(zip_derived_cl256, plain, 132.87/17.47 (![X3 : mworld, X6 : $i, X7 : $i]: 132.87/17.47 (~ ('#form2' @ X3 @ X6 @ X7) 132.87/17.47 | (((!!) @ (^[Y0 : mworld]: 132.87/17.47 (((mrel @ X3 @ Y0) => (qmltpeq @ X6 @ X7 @ Y0)))))))), 132.87/17.47 define([status(thm)])). 132.87/17.47 thf(zip_derived_cl190, plain, 132.87/17.47 (![X3 : mworld, X6 : $i, X7 : $i]: 132.87/17.47 ( ('#form2' @ X3 @ X6 @ X7) 132.87/17.47 | ~ (((!!) @ (^[Y0 : mworld]: 132.87/17.47 (((mrel @ X3 @ Y0) => (qmltpeq @ X6 @ X7 @ Y0)))))))), 132.87/17.47 define([status(thm)])). 132.87/17.47 thf(zip_derived_cl861, plain, 132.87/17.47 (![X0 : mworld]: 132.87/17.47 (~ ('#form2' @ X0 @ (op @ e0 @ e0) @ e1) 132.87/17.47 | ~ (mand @ (mbox @ (qmltpeq @ (op @ e1 @ e1) @ e1)) @ 132.87/17.47 (mand @ (mbox @ (qmltpeq @ (op @ e2 @ e2) @ e1)) @ 132.87/17.47 (mbox @ (qmltpeq @ (op @ e3 @ e3) @ e1))) @ 132.87/17.47 X0) 132.87/17.47 | ~ (mrel @ '#sk3' @ X0))), 132.87/17.47 inference('renaming', [status(thm)], 132.87/17.47 [zip_derived_cl852, zip_derived_cl256, zip_derived_cl190])). 132.87/17.47 thf(zip_derived_cl870, plain, 132.87/17.47 (![X0 : mworld]: 132.87/17.47 (~ (((mbox @ (qmltpeq @ (op @ e1 @ e1) @ e1) @ X0) & (mand @ 132.87/17.47 (mbox @ (qmltpeq @ (op @ e2 @ e2) @ e1)) @ 132.87/17.47 (mbox @ (qmltpeq @ (op @ e3 @ e3) @ e1)) @ X0))) 132.87/17.47 | ~ (mrel @ '#sk3' @ X0) 132.87/17.47 | ~ ('#form2' @ X0 @ (op @ e0 @ e0) @ e1))), 132.87/17.47 inference('rw_clause', [status(thm)], [zip_derived_cl861, '7'])). 132.87/17.47 thf(zip_derived_cl881, plain, 132.87/17.47 (![X0 : mworld]: 132.87/17.47 (~ (mbox @ (qmltpeq @ (op @ e1 @ e1) @ e1) @ X0) 132.87/17.47 | ~ (mand @ (mbox @ (qmltpeq @ (op @ e2 @ e2) @ e1)) @ 132.87/17.47 (mbox @ (qmltpeq @ (op @ e3 @ e3) @ e1)) @ X0) 132.87/17.47 | ~ ('#form2' @ X0 @ (op @ e0 @ e0) @ e1) 132.87/17.47 | ~ (mrel @ '#sk3' @ X0))), 132.87/17.47 inference('lazy_cnf_and', [status(thm)], [zip_derived_cl870])). 132.87/17.47 thf(zip_derived_cl892, plain, 132.87/17.47 (![X0 : mworld]: 132.87/17.47 (~ (((!!) @ (^[Y0 : mworld]: 132.87/17.47 (((mrel @ X0 @ Y0) => (qmltpeq @ (op @ e1 @ e1) @ e1 @ 132.87/17.47 Y0)))))) 132.87/17.47 | ~ (mrel @ '#sk3' @ X0) 132.87/17.47 | ~ ('#form2' @ X0 @ (op @ e0 @ e0) @ e1) 132.87/17.47 | ~ (mand @ (mbox @ (qmltpeq @ (op @ e2 @ e2) @ e1)) @ 132.87/17.47 (mbox @ (qmltpeq @ (op @ e3 @ e3) @ e1)) @ X0))), 132.87/17.47 inference('rw_clause', [status(thm)], [zip_derived_cl881, '1'])). 132.87/17.47 thf(zip_derived_cl256, plain, 132.87/17.47 (![X3 : mworld, X6 : $i, X7 : $i]: 132.87/17.47 (~ ('#form2' @ X3 @ X6 @ X7) 132.87/17.47 | (((!!) @ (^[Y0 : mworld]: 132.87/17.47 (((mrel @ X3 @ Y0) => (qmltpeq @ X6 @ X7 @ Y0)))))))), 132.87/17.47 define([status(thm)])). 132.87/17.47 thf(zip_derived_cl190, plain, 132.87/17.47 (![X3 : mworld, X6 : $i, X7 : $i]: 132.87/17.47 ( ('#form2' @ X3 @ X6 @ X7) 132.87/17.47 | ~ (((!!) @ (^[Y0 : mworld]: 132.87/17.47 (((mrel @ X3 @ Y0) => (qmltpeq @ X6 @ X7 @ Y0)))))))), 132.87/17.47 define([status(thm)])). 132.87/17.47 thf(zip_derived_cl907, plain, 132.87/17.47 (![X0 : mworld]: 132.87/17.47 (~ ('#form2' @ X0 @ (op @ e1 @ e1) @ e1) 132.87/17.47 | ~ (mand @ (mbox @ (qmltpeq @ (op @ e2 @ e2) @ e1)) @ 132.87/17.47 (mbox @ (qmltpeq @ (op @ e3 @ e3) @ e1)) @ X0) 132.87/17.47 | ~ ('#form2' @ X0 @ (op @ e0 @ e0) @ e1) 132.87/17.47 | ~ (mrel @ '#sk3' @ X0))), 132.87/17.47 inference('renaming', [status(thm)], 132.87/17.47 [zip_derived_cl892, zip_derived_cl256, zip_derived_cl190])). 132.87/17.47 thf(zip_derived_cl922, plain, 132.87/17.47 (![X0 : mworld]: 132.87/17.47 (~ (((mbox @ (qmltpeq @ (op @ e2 @ e2) @ e1) @ X0) & (mbox @ 132.87/17.47 (qmltpeq @ (op @ e3 @ e3) @ e1) @ X0))) 132.87/17.47 | ~ (mrel @ '#sk3' @ X0) 132.87/17.47 | ~ ('#form2' @ X0 @ (op @ e0 @ e0) @ e1) 132.87/17.47 | ~ ('#form2' @ X0 @ (op @ e1 @ e1) @ e1))), 132.87/17.47 inference('rw_clause', [status(thm)], [zip_derived_cl907, '7'])). 132.87/17.47 thf(zip_derived_cl941, plain, 132.87/17.47 (![X0 : mworld]: 132.87/17.47 (~ (mbox @ (qmltpeq @ (op @ e2 @ e2) @ e1) @ X0) 132.87/17.47 | ~ (mbox @ (qmltpeq @ (op @ e3 @ e3) @ e1) @ X0) 132.87/17.47 | ~ ('#form2' @ X0 @ (op @ e1 @ e1) @ e1) 132.87/17.47 | ~ ('#form2' @ X0 @ (op @ e0 @ e0) @ e1) 132.87/17.47 | ~ (mrel @ '#sk3' @ X0))), 132.87/17.47 inference('lazy_cnf_and', [status(thm)], [zip_derived_cl922])). 132.87/17.47 thf(zip_derived_cl963, plain, 132.87/17.47 (![X0 : mworld]: 132.87/17.47 (~ (((!!) @ (^[Y0 : mworld]: 132.87/17.47 (((mrel @ X0 @ Y0) => (qmltpeq @ (op @ e2 @ e2) @ e1 @ 132.87/17.47 Y0)))))) 132.87/17.47 | ~ (mrel @ '#sk3' @ X0) 132.87/17.47 | ~ ('#form2' @ X0 @ (op @ e0 @ e0) @ e1) 132.87/17.47 | ~ ('#form2' @ X0 @ (op @ e1 @ e1) @ e1) 132.87/17.47 | ~ (mbox @ (qmltpeq @ (op @ e3 @ e3) @ e1) @ X0))), 132.87/17.47 inference('rw_clause', [status(thm)], [zip_derived_cl941, '1'])). 132.87/17.47 thf(zip_derived_cl256, plain, 132.87/17.47 (![X3 : mworld, X6 : $i, X7 : $i]: 132.87/17.47 (~ ('#form2' @ X3 @ X6 @ X7) 132.87/17.47 | (((!!) @ (^[Y0 : mworld]: 132.87/17.47 (((mrel @ X3 @ Y0) => (qmltpeq @ X6 @ X7 @ Y0)))))))), 132.87/17.47 define([status(thm)])). 132.87/17.47 thf(zip_derived_cl190, plain, 132.87/17.47 (![X3 : mworld, X6 : $i, X7 : $i]: 132.87/17.47 ( ('#form2' @ X3 @ X6 @ X7) 132.87/17.47 | ~ (((!!) @ (^[Y0 : mworld]: 132.87/17.47 (((mrel @ X3 @ Y0) => (qmltpeq @ X6 @ X7 @ Y0)))))))), 132.87/17.47 define([status(thm)])). 132.87/17.47 thf(zip_derived_cl986, plain, 132.87/17.47 (![X0 : mworld]: 132.87/17.47 (~ ('#form2' @ X0 @ (op @ e2 @ e2) @ e1) 132.87/17.47 | ~ (mbox @ (qmltpeq @ (op @ e3 @ e3) @ e1) @ X0) 132.87/17.47 | ~ ('#form2' @ X0 @ (op @ e1 @ e1) @ e1) 132.87/17.47 | ~ ('#form2' @ X0 @ (op @ e0 @ e0) @ e1) 132.87/17.47 | ~ (mrel @ '#sk3' @ X0))), 132.87/17.47 inference('renaming', [status(thm)], 132.87/17.47 [zip_derived_cl963, zip_derived_cl256, zip_derived_cl190])). 132.87/17.47 thf(zip_derived_cl1013, plain, 132.87/17.47 (![X0 : mworld]: 132.87/17.47 (~ (((!!) @ (^[Y0 : mworld]: 132.87/17.47 (((mrel @ X0 @ Y0) => (qmltpeq @ (op @ e3 @ e3) @ e1 @ 132.87/17.47 Y0)))))) 132.87/17.47 | ~ (mrel @ '#sk3' @ X0) 132.87/17.47 | ~ ('#form2' @ X0 @ (op @ e0 @ e0) @ e1) 132.87/17.47 | ~ ('#form2' @ X0 @ (op @ e1 @ e1) @ e1) 132.87/17.47 | ~ ('#form2' @ X0 @ (op @ e2 @ e2) @ e1))), 132.87/17.47 inference('rw_clause', [status(thm)], [zip_derived_cl986, '1'])). 132.87/17.47 thf(zip_derived_cl256, plain, 132.87/17.47 (![X3 : mworld, X6 : $i, X7 : $i]: 132.87/17.47 (~ ('#form2' @ X3 @ X6 @ X7) 132.87/17.47 | (((!!) @ (^[Y0 : mworld]: 132.87/17.47 (((mrel @ X3 @ Y0) => (qmltpeq @ X6 @ X7 @ Y0)))))))), 132.87/17.47 define([status(thm)])). 132.87/17.47 thf(zip_derived_cl190, plain, 132.87/17.47 (![X3 : mworld, X6 : $i, X7 : $i]: 132.87/17.47 ( ('#form2' @ X3 @ X6 @ X7) 132.87/17.47 | ~ (((!!) @ (^[Y0 : mworld]: 132.87/17.47 (((mrel @ X3 @ Y0) => (qmltpeq @ X6 @ X7 @ Y0)))))))), 132.87/17.47 define([status(thm)])). 132.87/17.47 thf(zip_derived_cl1038, plain, 132.87/17.47 (![X0 : mworld]: 132.87/17.47 (~ ('#form2' @ X0 @ (op @ e3 @ e3) @ e1) 132.87/17.47 | ~ ('#form2' @ X0 @ (op @ e2 @ e2) @ e1) 132.87/17.47 | ~ ('#form2' @ X0 @ (op @ e1 @ e1) @ e1) 132.87/17.47 | ~ ('#form2' @ X0 @ (op @ e0 @ e0) @ e1) 132.87/17.47 | ~ (mrel @ '#sk3' @ X0))), 132.87/17.47 inference('renaming', [status(thm)], 132.87/17.47 [zip_derived_cl1013, zip_derived_cl256, zip_derived_cl190])). 132.87/17.47 thf(zip_derived_cl3752, plain, ($false), 132.87/17.47 inference('eprover', [status(thm)], 132.87/17.47 [zip_derived_cl1098, zip_derived_cl194, zip_derived_cl195, 132.87/17.47 zip_derived_cl1308, zip_derived_cl1157, zip_derived_cl1158, 132.87/17.47 zip_derived_cl1089, zip_derived_cl1029, zip_derived_cl1286, 132.87/17.47 zip_derived_cl1282, zip_derived_cl1238, zip_derived_cl1296, 132.87/17.47 zip_derived_cl1258, zip_derived_cl1309, zip_derived_cl1254, 132.87/17.47 zip_derived_cl1193, zip_derived_cl1310, zip_derived_cl1287, 132.87/17.47 zip_derived_cl1285, zip_derived_cl1297, zip_derived_cl1259, 132.87/17.47 zip_derived_cl1312, zip_derived_cl1298, zip_derived_cl1257, 132.87/17.47 zip_derived_cl1294, zip_derived_cl1313, zip_derived_cl1295, 132.87/17.47 zip_derived_cl1290, zip_derived_cl1249, zip_derived_cl1314, 132.87/17.47 zip_derived_cl1293, zip_derived_cl1315, zip_derived_cl1311, 132.87/17.47 zip_derived_cl1299, zip_derived_cl1239, zip_derived_cl1174, 132.87/17.47 zip_derived_cl1250, zip_derived_cl1184, zip_derived_cl1194, 132.87/17.47 zip_derived_cl1123, zip_derived_cl1251, zip_derived_cl1240, 132.87/17.47 zip_derived_cl1195, zip_derived_cl1232, zip_derived_cl1171, 132.87/17.47 zip_derived_cl1243, zip_derived_cl1181, zip_derived_cl1187, 132.87/17.47 zip_derived_cl1120, zip_derived_cl1246, zip_derived_cl1235, 132.87/17.47 zip_derived_cl1190, zip_derived_cl1113, zip_derived_cl1106, 132.87/17.47 zip_derived_cl1055, zip_derived_cl1260, zip_derived_cl987, 132.87/17.47 zip_derived_cl1202, zip_derived_cl1261, zip_derived_cl1203, 132.87/17.47 zip_derived_cl1198, zip_derived_cl1134, zip_derived_cl1263, 132.87/17.47 zip_derived_cl1262, zip_derived_cl1201, zip_derived_cl1136, 132.87/17.47 zip_derived_cl1135, zip_derived_cl1068, zip_derived_cl1065, 132.87/17.47 zip_derived_cl1131, zip_derived_cl1128, zip_derived_cl1010, 132.87/17.47 zip_derived_cl23, zip_derived_cl1099, zip_derived_cl1038])). 132.87/17.47 132.87/17.47 % SZS output end Refutation 132.87/17.47 132.87/17.47 132.87/17.47 % Terminating... 133.70/17.57 % Runner terminated. 133.70/17.59 % Zipperpin 1.5 exiting 133.70/17.59 EOF