0.10/0.10 % Problem : theBenchmark.p : TPTP v0.0.0. Released v0.0.0. 0.10/0.11 % Command : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.tuFwkhZAid true 0.11/0.31 % Computer : n018.cluster.edu 0.11/0.31 % Model : x86_64 x86_64 0.11/0.31 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz 0.11/0.31 % Memory : 8042.1875MB 0.11/0.31 % OS : Linux 3.10.0-693.el7.x86_64 0.11/0.31 % CPULimit : 960 0.11/0.31 % WCLimit : 120 0.11/0.31 % DateTime : Tue Aug 9 04:37:30 EDT 2022 0.11/0.31 % CPUTime : 0.11/0.31 % Running portfolio for 960 s 0.11/0.31 % File : /export/starexec/sandbox/benchmark/theBenchmark.p 0.11/0.32 % Number of cores: 8 0.16/0.32 % Python version: Python 3.6.8 0.16/0.32 % Running in HO mode 0.66/0.60 % Total configuration time : 828 0.66/0.60 % Estimated wc time : 1656 0.66/0.60 % Estimated cpu time (8 cpus) : 207.0 0.97/0.67 % /export/starexec/sandbox/solver/bin/lams/35_full_unif4.sh running for 80s 0.97/0.68 % /export/starexec/sandbox/solver/bin/lams/40_c.s.sh running for 80s 0.97/0.68 % /export/starexec/sandbox/solver/bin/lams/40_noforms.sh running for 90s 0.97/0.68 % /export/starexec/sandbox/solver/bin/lams/40_c_ic.sh running for 80s 0.97/0.68 % /export/starexec/sandbox/solver/bin/lams/40_b.comb.sh running for 70s 0.97/0.68 % /export/starexec/sandbox/solver/bin/lams/15_e_short1.sh running for 30s 0.97/0.68 % /export/starexec/sandbox/solver/bin/lams/20_acsne_simpl.sh running for 40s 0.97/0.69 % /export/starexec/sandbox/solver/bin/lams/30_sp5.sh running for 60s 1.36/1.05 % Solved by lams/20_acsne_simpl.sh. 1.36/1.05 % done 640 iterations in 0.335s 1.36/1.05 % SZS status Theorem for '/export/starexec/sandbox/benchmark/theBenchmark.p' 1.36/1.05 % SZS output start Refutation 1.36/1.05 thf(mworld_type, type, mworld: $tType). 1.36/1.05 thf(p_type, type, p: mworld > $o). 1.36/1.05 thf('#sk6_type', type, '#sk6': mworld > mworld). 1.36/1.05 thf(mbox_type, type, mbox: (mworld > $o) > mworld > $o). 1.36/1.05 thf(mactual_type, type, mactual: mworld). 1.36/1.05 thf(mequiv_type, type, mequiv: (mworld > $o) > (mworld > $o) > mworld > $o). 1.36/1.05 thf('#form2_type', type, '#form2': $o). 1.36/1.05 thf('#sk4_type', type, '#sk4': mworld). 1.36/1.05 thf('#sk1_type', type, '#sk1': mworld > mworld). 1.36/1.05 thf(mdia_type, type, mdia: (mworld > $o) > mworld > $o). 1.36/1.05 thf(mnot_type, type, mnot: (mworld > $o) > mworld > $o). 1.36/1.05 thf('#sk3_type', type, '#sk3': mworld > mworld). 1.36/1.05 thf(mlocal_type, type, mlocal: (mworld > $o) > $o). 1.36/1.05 thf('#sk5_type', type, '#sk5': mworld). 1.36/1.05 thf(mrel_type, type, mrel: mworld > mworld > $o). 1.36/1.05 thf('#sk7_type', type, '#sk7': mworld > mworld). 1.36/1.05 thf(mdia_def, axiom,(( mdia ) = 1.36/1.05 (^[Phi:( mworld > $o ),W:mworld]: 1.36/1.05 ( ?[V:mworld]: ( ( Phi @ V ) & ( mrel @ W @ V ) ) )))). 1.36/1.05 thf('0', plain, 1.36/1.05 (( mdia ) = 1.36/1.05 ( ^[Phi:( mworld > $o ),W:mworld]: 1.36/1.05 ( ?[V:mworld]: ( ( Phi @ V ) & ( mrel @ W @ V ) ) ) )), 1.36/1.05 inference('simplify_rw_rule', [status(thm)], [mdia_def])). 1.36/1.05 thf('1', plain, 1.36/1.05 (( mdia ) = 1.36/1.05 ( ^[V_1:( mworld > $o ),V_2:mworld]: 1.36/1.05 ( ?[X4:mworld]: ( ( V_1 @ X4 ) & ( mrel @ V_2 @ X4 ) ) ) )), 1.36/1.05 define([status(thm)])). 1.36/1.05 thf(mbox_def, axiom,(( mbox ) = 1.36/1.05 (^[Phi:( mworld > $o ),W:mworld]: 1.36/1.05 ( ![V:mworld]: ( ( mrel @ W @ V ) => ( Phi @ V ) ) )))). 1.36/1.05 thf('2', plain, 1.36/1.05 (( mbox ) = 1.36/1.05 ( ^[Phi:( mworld > $o ),W:mworld]: 1.36/1.05 ( ![V:mworld]: ( ( mrel @ W @ V ) => ( Phi @ V ) ) ) )), 1.36/1.05 inference('simplify_rw_rule', [status(thm)], [mbox_def])). 1.36/1.05 thf('3', plain, 1.36/1.05 (( mbox ) = 1.36/1.05 ( ^[V_1:( mworld > $o ),V_2:mworld]: 1.36/1.05 ( ![X4:mworld]: ( ( mrel @ V_2 @ X4 ) => ( V_1 @ X4 ) ) ) )), 1.36/1.05 define([status(thm)])). 1.36/1.05 thf(mequiv_def, axiom,(( mequiv ) = 1.36/1.05 (^[A:( mworld > $o ),B:( mworld > $o ),W:mworld]: 1.36/1.05 ( ( A @ W ) <=> ( B @ W ) )))). 1.36/1.05 thf('4', plain, 1.36/1.05 (( mequiv ) = 1.36/1.05 ( ^[A:( mworld > $o ),B:( mworld > $o ),W:mworld]: 1.36/1.05 ( ( A @ W ) <=> ( B @ W ) ) )), 1.36/1.05 inference('simplify_rw_rule', [status(thm)], [mequiv_def])). 1.36/1.05 thf('5', plain, 1.36/1.05 (( mequiv ) = 1.36/1.05 ( ^[V_1:( mworld > $o ),V_2:( mworld > $o ),V_3:mworld]: 1.36/1.05 ( ( V_1 @ V_3 ) <=> ( V_2 @ V_3 ) ) )), 1.36/1.05 define([status(thm)])). 1.36/1.05 thf(mnot_def, axiom,(( mnot ) = 1.36/1.05 (^[A:( mworld > $o ),W:mworld]: ( ~( A @ W ) )))). 1.36/1.05 thf('6', plain, 1.36/1.05 (( mnot ) = ( ^[A:( mworld > $o ),W:mworld]: ( ~( A @ W ) ) )), 1.36/1.05 inference('simplify_rw_rule', [status(thm)], [mnot_def])). 1.36/1.05 thf('7', plain, 1.36/1.05 (( mnot ) = ( ^[V_1:( mworld > $o ),V_2:mworld]: ( ~( V_1 @ V_2 ) ) )), 1.36/1.05 define([status(thm)])). 1.36/1.05 thf(mlocal_def, axiom,(( mlocal ) = 1.36/1.05 (^[Phi:( mworld > $o )]: ( Phi @ mactual )))). 1.36/1.05 thf('8', plain, (( mlocal ) = ( ^[Phi:( mworld > $o )]: ( Phi @ mactual ) )), 1.36/1.05 inference('simplify_rw_rule', [status(thm)], [mlocal_def])). 1.36/1.05 thf('9', plain, (( mlocal ) = ( ^[V_1:( mworld > $o )]: ( V_1 @ mactual ) )), 1.36/1.05 define([status(thm)])). 1.36/1.05 thf(con, conjecture, 1.36/1.05 (mlocal @ 1.36/1.05 ( mequiv @ 1.36/1.05 ( mnot @ ( mbox @ ( mdia @ ( mbox @ p ) ) ) ) @ 1.36/1.05 ( mdia @ ( mbox @ ( mdia @ ( mnot @ p ) ) ) ) ))). 1.36/1.05 thf(zf_stmt_0, conjecture, 1.36/1.05 (( ~( ![X4:mworld]: 1.36/1.05 ( ( mrel @ mactual @ X4 ) => 1.36/1.05 ( ?[X6:mworld]: 1.36/1.05 ( ( mrel @ X4 @ X6 ) & 1.36/1.05 ( ![X8:mworld]: ( ( mrel @ X6 @ X8 ) => ( p @ X8 ) ) ) ) ) ) ) ) <=> 1.36/1.05 ( ?[X10:mworld]: 1.36/1.05 ( ( mrel @ mactual @ X10 ) & 1.36/1.05 ( ![X12:mworld]: 1.36/1.05 ( ( mrel @ X10 @ X12 ) => 1.36/1.05 ( ?[X14:mworld]: ( ( mrel @ X12 @ X14 ) & ( ~( p @ X14 ) ) ) ) ) ) ) ))). 1.36/1.05 thf(zf_stmt_1, negated_conjecture, 1.36/1.05 (~( ( ~( ![X4:mworld]: 1.36/1.05 ( ( mrel @ mactual @ X4 ) => 1.36/1.05 ( ?[X6:mworld]: 1.36/1.05 ( ( mrel @ X4 @ X6 ) & 1.36/1.05 ( ![X8:mworld]: ( ( mrel @ X6 @ X8 ) => ( p @ X8 ) ) ) ) ) ) ) ) <=> 1.36/1.05 ( ?[X10:mworld]: 1.36/1.05 ( ( mrel @ mactual @ X10 ) & 1.36/1.05 ( ![X12:mworld]: 1.36/1.05 ( ( mrel @ X10 @ X12 ) => 1.36/1.05 ( ?[X14:mworld]: ( ( mrel @ X12 @ X14 ) & ( ~( p @ X14 ) ) ) ) ) ) ) ) )), 1.36/1.05 inference('cnf.neg', [status(esa)], [zf_stmt_0])). 1.36/1.05 thf(zip_derived_cl1, plain, 1.36/1.05 (((((~) @ (((!!) @ (^[Y0 : mworld]: 1.36/1.05 (((mrel @ mactual @ Y0) => 1.36/1.05 (((??) @ (^[Y1 : mworld]: 1.36/1.05 (((mrel @ Y0 @ Y1) & 1.36/1.05 (((!!) @ (^[Y2 : mworld]: 1.36/1.05 (((mrel @ Y1 @ Y2) => 1.36/1.05 (p @ Y2)))))))))))))))))) 1.36/1.05 != (((??) @ (^[Y0 : mworld]: 1.36/1.05 (((mrel @ mactual @ Y0) & 1.36/1.05 (((!!) @ (^[Y1 : mworld]: 1.36/1.05 (((mrel @ Y0 @ Y1) => 1.36/1.05 (((??) @ (^[Y2 : mworld]: 1.36/1.05 (((mrel @ Y1 @ Y2) & 1.36/1.05 (((~) @ (p @ Y2)))))))))))))))))))), 1.36/1.05 inference('cnf', [status(esa)], [zf_stmt_1])). 1.36/1.05 thf(zip_derived_cl9, plain, 1.36/1.05 (((((!!) @ (^[Y0 : mworld]: 1.36/1.05 (((mrel @ mactual @ Y0) => 1.36/1.05 (((??) @ (^[Y1 : mworld]: 1.36/1.05 (((mrel @ Y0 @ Y1) & 1.36/1.05 (((!!) @ (^[Y2 : mworld]: 1.36/1.05 (((mrel @ Y1 @ Y2) => (p @ Y2)))))))))))))))) 1.36/1.05 = (((??) @ (^[Y0 : mworld]: 1.36/1.05 (((mrel @ mactual @ Y0) & 1.36/1.05 (((!!) @ (^[Y1 : mworld]: 1.36/1.05 (((mrel @ Y0 @ Y1) => 1.36/1.05 (((??) @ (^[Y2 : mworld]: 1.36/1.05 (((mrel @ Y1 @ Y2) & 1.36/1.05 (((~) @ (p @ Y2)))))))))))))))))))), 1.36/1.05 inference('simplify nested equalities', [status(thm)], [zip_derived_cl1])). 1.36/1.05 thf(zip_derived_cl18, plain, 1.36/1.05 ((~ (((!!) @ (^[Y0 : mworld]: 1.36/1.05 (((mrel @ mactual @ Y0) => 1.36/1.05 (((??) @ (^[Y1 : mworld]: 1.36/1.05 (((mrel @ Y0 @ Y1) & 1.36/1.05 (((!!) @ (^[Y2 : mworld]: 1.36/1.05 (((mrel @ Y1 @ Y2) => (p @ 1.36/1.05 Y2)))))))))))))))) 1.36/1.05 | (((??) @ (^[Y0 : mworld]: 1.36/1.05 (((mrel @ mactual @ Y0) & 1.36/1.05 (((!!) @ (^[Y1 : mworld]: 1.36/1.05 (((mrel @ Y0 @ Y1) => 1.36/1.05 (((??) @ (^[Y2 : mworld]: 1.36/1.05 (((mrel @ Y1 @ Y2) & 1.36/1.05 (((~) @ (p @ Y2)))))))))))))))))))), 1.36/1.05 inference('eq_elim', [status(thm)], [zip_derived_cl9])). 1.36/1.05 thf(zip_derived_cl18, plain, 1.36/1.05 ((~ (((!!) @ (^[Y0 : mworld]: 1.36/1.05 (((mrel @ mactual @ Y0) => 1.36/1.05 (((??) @ (^[Y1 : mworld]: 1.36/1.05 (((mrel @ Y0 @ Y1) & 1.36/1.05 (((!!) @ (^[Y2 : mworld]: 1.36/1.05 (((mrel @ Y1 @ Y2) => (p @ 1.36/1.05 Y2)))))))))))))))) 1.36/1.05 | (((??) @ (^[Y0 : mworld]: 1.36/1.05 (((mrel @ mactual @ Y0) & 1.36/1.05 (((!!) @ (^[Y1 : mworld]: 1.36/1.05 (((mrel @ Y0 @ Y1) => 1.36/1.05 (((??) @ (^[Y2 : mworld]: 1.36/1.05 (((mrel @ Y1 @ Y2) & 1.36/1.05 (((~) @ (p @ Y2)))))))))))))))))))), 1.36/1.05 inference('eq_elim', [status(thm)], [zip_derived_cl9])). 1.36/1.05 thf(zip_derived_cl56, plain, 1.36/1.05 ((~ ('#form2') 1.36/1.05 | (((??) @ (^[Y0 : mworld]: 1.36/1.05 (((mrel @ mactual @ Y0) & 1.36/1.05 (((!!) @ (^[Y1 : mworld]: 1.36/1.05 (((mrel @ Y0 @ Y1) => 1.36/1.05 (((??) @ (^[Y2 : mworld]: 1.36/1.05 (((mrel @ Y1 @ Y2) & 1.36/1.05 (((~) @ (p @ Y2)))))))))))))))))))), 1.36/1.05 define([status(thm)])). 1.36/1.05 thf(zip_derived_cl9, plain, 1.36/1.05 (((((!!) @ (^[Y0 : mworld]: 1.36/1.05 (((mrel @ mactual @ Y0) => 1.36/1.05 (((??) @ (^[Y1 : mworld]: 1.36/1.05 (((mrel @ Y0 @ Y1) & 1.36/1.05 (((!!) @ (^[Y2 : mworld]: 1.36/1.05 (((mrel @ Y1 @ Y2) => (p @ Y2)))))))))))))))) 1.36/1.05 = (((??) @ (^[Y0 : mworld]: 1.36/1.05 (((mrel @ mactual @ Y0) & 1.36/1.05 (((!!) @ (^[Y1 : mworld]: 1.36/1.05 (((mrel @ Y0 @ Y1) => 1.36/1.05 (((??) @ (^[Y2 : mworld]: 1.36/1.05 (((mrel @ Y1 @ Y2) & 1.36/1.05 (((~) @ (p @ Y2)))))))))))))))))))), 1.36/1.05 inference('simplify nested equalities', [status(thm)], [zip_derived_cl1])). 1.36/1.05 thf(zip_derived_cl17, plain, 1.36/1.05 (( (((!!) @ (^[Y0 : mworld]: 1.36/1.05 (((mrel @ mactual @ Y0) => 1.36/1.05 (((??) @ (^[Y1 : mworld]: 1.36/1.05 (((mrel @ Y0 @ Y1) & 1.36/1.05 (((!!) @ (^[Y2 : mworld]: 1.36/1.05 (((mrel @ Y1 @ Y2) => (p @ Y2)))))))))))))))) 1.36/1.05 | ~ (((??) @ (^[Y0 : mworld]: 1.36/1.05 (((mrel @ mactual @ Y0) & 1.36/1.05 (((!!) @ (^[Y1 : mworld]: 1.36/1.05 (((mrel @ Y0 @ Y1) => 1.36/1.05 (((??) @ (^[Y2 : mworld]: 1.36/1.05 (((mrel @ Y1 @ Y2) & 1.36/1.05 (((~) @ (p @ Y2)))))))))))))))))))), 1.36/1.05 inference('eq_elim', [status(thm)], [zip_derived_cl9])). 1.36/1.05 thf(zip_derived_cl25, plain, 1.36/1.05 (![X2 : mworld]: 1.36/1.05 ( (((mrel @ mactual @ X2) => 1.36/1.05 (((??) @ (^[Y0 : mworld]: 1.36/1.05 (((mrel @ X2 @ Y0) & 1.36/1.05 (((!!) @ (^[Y1 : mworld]: 1.36/1.05 (((mrel @ Y0 @ Y1) => (p @ Y1))))))))))))) 1.36/1.05 | ~ (((??) @ (^[Y0 : mworld]: 1.36/1.05 (((mrel @ mactual @ Y0) & 1.36/1.05 (((!!) @ (^[Y1 : mworld]: 1.36/1.05 (((mrel @ Y0 @ Y1) => 1.36/1.05 (((??) @ (^[Y2 : mworld]: 1.36/1.05 (((mrel @ Y1 @ Y2) & 1.36/1.05 (((~) @ (p @ Y2)))))))))))))))))))), 1.36/1.05 inference('lazy_cnf_forall', [status(thm)], [zip_derived_cl17])). 1.36/1.05 thf(zip_derived_cl26, plain, 1.36/1.05 (![X2 : mworld]: 1.36/1.05 (~ (mrel @ mactual @ X2) 1.36/1.05 | (((??) @ (^[Y0 : mworld]: 1.36/1.05 (((mrel @ X2 @ Y0) & 1.36/1.05 (((!!) @ (^[Y1 : mworld]: 1.36/1.05 (((mrel @ Y0 @ Y1) => (p @ Y1))))))))))) 1.36/1.05 | ~ (((??) @ (^[Y0 : mworld]: 1.36/1.05 (((mrel @ mactual @ Y0) & 1.36/1.05 (((!!) @ (^[Y1 : mworld]: 1.36/1.05 (((mrel @ Y0 @ Y1) => 1.36/1.05 (((??) @ (^[Y2 : mworld]: 1.36/1.05 (((mrel @ Y1 @ Y2) & 1.36/1.05 (((~) @ (p @ Y2)))))))))))))))))))), 1.36/1.05 inference('lazy_cnf_imply', [status(thm)], [zip_derived_cl25])). 1.36/1.05 thf(zip_derived_cl27, plain, 1.36/1.05 (![X2 : mworld]: 1.36/1.05 ( (((mrel @ X2 @ ('#sk1' @ X2)) & 1.36/1.05 (((!!) @ (^[Y0 : mworld]: 1.36/1.05 (((mrel @ ('#sk1' @ X2) @ Y0) => (p @ Y0)))))))) 1.36/1.05 | ~ (((??) @ (^[Y0 : mworld]: 1.36/1.05 (((mrel @ mactual @ Y0) & 1.36/1.05 (((!!) @ (^[Y1 : mworld]: 1.36/1.05 (((mrel @ Y0 @ Y1) => 1.36/1.05 (((??) @ (^[Y2 : mworld]: 1.36/1.05 (((mrel @ Y1 @ Y2) & 1.36/1.05 (((~) @ (p @ Y2)))))))))))))))))) 1.36/1.05 | ~ (mrel @ mactual @ X2))), 1.36/1.05 inference('lazy_cnf_exists', [status(thm)], [zip_derived_cl26])). 1.36/1.05 thf(zip_derived_cl28, plain, 1.36/1.05 (![X2 : mworld]: 1.36/1.05 ( (mrel @ X2 @ ('#sk1' @ X2)) 1.36/1.05 | ~ (mrel @ mactual @ X2) 1.36/1.05 | ~ (((??) @ (^[Y0 : mworld]: 1.36/1.05 (((mrel @ mactual @ Y0) & 1.36/1.05 (((!!) @ (^[Y1 : mworld]: 1.36/1.05 (((mrel @ Y0 @ Y1) => 1.36/1.05 (((??) @ (^[Y2 : mworld]: 1.36/1.05 (((mrel @ Y1 @ Y2) & 1.36/1.05 (((~) @ (p @ Y2)))))))))))))))))))), 1.36/1.05 inference('lazy_cnf_and', [status(thm)], [zip_derived_cl27])). 1.36/1.05 thf(zip_derived_cl30, plain, 1.36/1.05 (( ('#form2') 1.36/1.05 | ~ (((??) @ (^[Y0 : mworld]: 1.36/1.05 (((mrel @ mactual @ Y0) & 1.36/1.05 (((!!) @ (^[Y1 : mworld]: 1.36/1.05 (((mrel @ Y0 @ Y1) => 1.36/1.05 (((??) @ (^[Y2 : mworld]: 1.36/1.05 (((mrel @ Y1 @ Y2) & 1.36/1.05 (((~) @ (p @ Y2)))))))))))))))))))), 1.36/1.05 define([status(thm)])). 1.36/1.05 thf(zip_derived_cl58, plain, 1.36/1.05 (( ('#form2') 1.36/1.05 | ~ (((!!) @ (^[Y0 : mworld]: 1.36/1.05 (((mrel @ mactual @ Y0) => 1.36/1.05 (((??) @ (^[Y1 : mworld]: 1.36/1.05 (((mrel @ Y0 @ Y1) & 1.36/1.05 (((!!) @ (^[Y2 : mworld]: 1.36/1.05 (((mrel @ Y1 @ Y2) => (p @ 1.36/1.05 Y2)))))))))))))))))), 1.36/1.05 inference('renaming', [status(thm)], 1.36/1.05 [zip_derived_cl18, zip_derived_cl56, zip_derived_cl30])). 1.36/1.05 thf(zip_derived_cl59, plain, 1.36/1.05 ((~ (((mrel @ mactual @ '#sk5') => 1.36/1.05 (((??) @ (^[Y0 : mworld]: 1.36/1.05 (((mrel @ '#sk5' @ Y0) & 1.36/1.05 (((!!) @ (^[Y1 : mworld]: 1.36/1.05 (((mrel @ Y0 @ Y1) => (p @ Y1))))))))))))) 1.36/1.05 | ('#form2'))), 1.36/1.05 inference('lazy_cnf_exists', [status(thm)], [zip_derived_cl58])). 1.36/1.05 thf(zip_derived_cl62, plain, (( (mrel @ mactual @ '#sk5') | ('#form2'))), 1.36/1.05 inference('lazy_cnf_imply', [status(thm)], [zip_derived_cl59])). 1.36/1.05 thf(zip_derived_cl30, plain, 1.36/1.05 (( ('#form2') 1.36/1.05 | ~ (((??) @ (^[Y0 : mworld]: 1.36/1.05 (((mrel @ mactual @ Y0) & 1.36/1.05 (((!!) @ (^[Y1 : mworld]: 1.36/1.05 (((mrel @ Y0 @ Y1) => 1.36/1.05 (((??) @ (^[Y2 : mworld]: 1.36/1.05 (((mrel @ Y1 @ Y2) & 1.36/1.05 (((~) @ (p @ Y2)))))))))))))))))))), 1.36/1.05 define([status(thm)])). 1.36/1.05 thf(zip_derived_cl31, plain, 1.36/1.05 (![X2 : mworld]: 1.36/1.05 (~ (((mrel @ mactual @ X2) & 1.36/1.05 (((!!) @ (^[Y0 : mworld]: 1.36/1.05 (((mrel @ X2 @ Y0) => 1.36/1.05 (((??) @ (^[Y1 : mworld]: 1.36/1.05 (((mrel @ Y0 @ Y1) & (((~) @ (p @ Y1))))))))))))))) 1.36/1.05 | ('#form2'))), 1.36/1.05 inference('lazy_cnf_forall', [status(thm)], [zip_derived_cl30])). 1.36/1.05 thf(zip_derived_cl34, plain, 1.36/1.05 (![X2 : mworld]: 1.36/1.05 (~ (mrel @ mactual @ X2) 1.36/1.05 | ~ (((!!) @ (^[Y0 : mworld]: 1.36/1.05 (((mrel @ X2 @ Y0) => 1.36/1.05 (((??) @ (^[Y1 : mworld]: 1.36/1.05 (((mrel @ Y0 @ Y1) & (((~) @ (p @ Y1))))))))))))) 1.36/1.05 | ('#form2'))), 1.36/1.05 inference('lazy_cnf_and', [status(thm)], [zip_derived_cl31])). 1.36/1.05 thf(zip_derived_cl36, plain, 1.36/1.05 (![X2 : mworld]: 1.36/1.05 (~ (((mrel @ X2 @ ('#sk3' @ X2)) => 1.36/1.05 (((??) @ (^[Y0 : mworld]: 1.36/1.05 (((mrel @ ('#sk3' @ X2) @ Y0) & (((~) @ (p @ Y0)))))))))) 1.36/1.05 | ('#form2') 1.36/1.05 | ~ (mrel @ mactual @ X2))), 1.36/1.05 inference('lazy_cnf_exists', [status(thm)], [zip_derived_cl34])). 1.36/1.05 thf(zip_derived_cl38, plain, 1.36/1.05 (![X2 : mworld]: 1.36/1.05 ( (mrel @ X2 @ ('#sk3' @ X2)) | ~ (mrel @ mactual @ X2) | ('#form2'))), 1.36/1.05 inference('lazy_cnf_imply', [status(thm)], [zip_derived_cl36])). 1.36/1.05 thf(zip_derived_cl154, plain, 1.36/1.05 (( ('#form2') | ('#form2') | (mrel @ '#sk5' @ ('#sk3' @ '#sk5')))), 1.36/1.05 inference('sup-', [status(thm)], [zip_derived_cl62, zip_derived_cl38])). 1.36/1.05 thf(zip_derived_cl162, plain, 1.36/1.05 (( (mrel @ '#sk5' @ ('#sk3' @ '#sk5')) | ('#form2'))), 1.36/1.05 inference('simplify', [status(thm)], [zip_derived_cl154])). 1.36/1.05 thf(zip_derived_cl56, plain, 1.36/1.05 ((~ ('#form2') 1.36/1.05 | (((??) @ (^[Y0 : mworld]: 1.36/1.05 (((mrel @ mactual @ Y0) & 1.36/1.05 (((!!) @ (^[Y1 : mworld]: 1.36/1.05 (((mrel @ Y0 @ Y1) => 1.36/1.05 (((??) @ (^[Y2 : mworld]: 1.36/1.05 (((mrel @ Y1 @ Y2) & 1.36/1.05 (((~) @ (p @ Y2)))))))))))))))))))), 1.36/1.05 define([status(thm)])). 1.36/1.05 thf(zip_derived_cl57, plain, 1.36/1.05 (( (((mrel @ mactual @ '#sk4') & 1.36/1.05 (((!!) @ (^[Y0 : mworld]: 1.36/1.05 (((mrel @ '#sk4' @ Y0) => 1.36/1.05 (((??) @ (^[Y1 : mworld]: 1.36/1.05 (((mrel @ Y0 @ Y1) & (((~) @ (p @ Y1))))))))))))))) 1.36/1.05 | ~ ('#form2'))), 1.36/1.05 inference('lazy_cnf_exists', [status(thm)], [zip_derived_cl56])). 1.36/1.05 thf(zip_derived_cl60, plain, (( (mrel @ mactual @ '#sk4') | ~ ('#form2'))), 1.36/1.05 inference('lazy_cnf_and', [status(thm)], [zip_derived_cl57])). 1.36/1.05 thf(zip_derived_cl28, plain, 1.36/1.05 (![X2 : mworld]: 1.36/1.05 ( (mrel @ X2 @ ('#sk1' @ X2)) 1.36/1.05 | ~ (mrel @ mactual @ X2) 1.36/1.05 | ~ (((??) @ (^[Y0 : mworld]: 1.36/1.05 (((mrel @ mactual @ Y0) & 1.36/1.05 (((!!) @ (^[Y1 : mworld]: 1.36/1.05 (((mrel @ Y0 @ Y1) => 1.36/1.05 (((??) @ (^[Y2 : mworld]: 1.36/1.05 (((mrel @ Y1 @ Y2) & 1.36/1.05 (((~) @ (p @ Y2)))))))))))))))))))), 1.36/1.05 inference('lazy_cnf_and', [status(thm)], [zip_derived_cl27])). 1.36/1.05 thf(zip_derived_cl30, plain, 1.36/1.05 (( ('#form2') 1.36/1.05 | ~ (((??) @ (^[Y0 : mworld]: 1.36/1.05 (((mrel @ mactual @ Y0) & 1.36/1.05 (((!!) @ (^[Y1 : mworld]: 1.36/1.05 (((mrel @ Y0 @ Y1) => 1.36/1.05 (((??) @ (^[Y2 : mworld]: 1.36/1.05 (((mrel @ Y1 @ Y2) & 1.36/1.05 (((~) @ (p @ Y2)))))))))))))))))))), 1.36/1.05 define([status(thm)])). 1.36/1.05 thf(zip_derived_cl32, plain, 1.36/1.05 (![X2 : mworld]: 1.36/1.05 (~ ('#form2') | ~ (mrel @ mactual @ X2) | (mrel @ X2 @ ('#sk1' @ X2)))), 1.36/1.05 inference('renaming', [status(thm)], [zip_derived_cl28, zip_derived_cl30])). 1.36/1.05 thf(zip_derived_cl74, plain, 1.36/1.05 ((~ ('#form2') | (mrel @ '#sk4' @ ('#sk1' @ '#sk4')) | ~ ('#form2'))), 1.36/1.05 inference('sup-', [status(thm)], [zip_derived_cl60, zip_derived_cl32])). 1.36/1.05 thf(zip_derived_cl80, plain, 1.36/1.05 (( (mrel @ '#sk4' @ ('#sk1' @ '#sk4')) | ~ ('#form2'))), 1.36/1.05 inference('simplify', [status(thm)], [zip_derived_cl74])). 1.36/1.05 thf(mrel_reflexive, axiom, (![W:mworld]: ( mrel @ W @ W ))). 1.36/1.05 thf(zip_derived_cl0, plain, ( (((!!) @ (^[Y0 : mworld]: (mrel @ Y0 @ Y0))))), 1.36/1.05 inference('cnf', [status(esa)], [mrel_reflexive])). 1.36/1.05 thf(zip_derived_cl3, plain, (![X2 : mworld]: (mrel @ X2 @ X2)), 1.36/1.05 inference('lazy_cnf_forall', [status(thm)], [zip_derived_cl0])). 1.36/1.05 thf(zip_derived_cl61, plain, 1.36/1.05 (( (((!!) @ (^[Y0 : mworld]: 1.36/1.05 (((mrel @ '#sk4' @ Y0) => 1.36/1.05 (((??) @ (^[Y1 : mworld]: 1.36/1.05 (((mrel @ Y0 @ Y1) & (((~) @ (p @ Y1))))))))))))) 1.36/1.05 | ~ ('#form2'))), 1.36/1.05 inference('lazy_cnf_and', [status(thm)], [zip_derived_cl57])). 1.36/1.05 thf(zip_derived_cl64, plain, 1.36/1.05 (![X2 : mworld]: 1.36/1.05 ( (((mrel @ '#sk4' @ X2) => 1.36/1.05 (((??) @ (^[Y0 : mworld]: 1.36/1.05 (((mrel @ X2 @ Y0) & (((~) @ (p @ Y0)))))))))) 1.36/1.05 | ~ ('#form2'))), 1.36/1.05 inference('lazy_cnf_forall', [status(thm)], [zip_derived_cl61])). 1.36/1.05 thf(zip_derived_cl66, plain, 1.36/1.05 (![X2 : mworld]: 1.36/1.05 (~ (mrel @ '#sk4' @ X2) 1.36/1.05 | (((??) @ (^[Y0 : mworld]: 1.36/1.05 (((mrel @ X2 @ Y0) & (((~) @ (p @ Y0)))))))) 1.36/1.05 | ~ ('#form2'))), 1.36/1.05 inference('lazy_cnf_imply', [status(thm)], [zip_derived_cl64])). 1.36/1.05 thf(zip_derived_cl68, plain, 1.36/1.05 (![X2 : mworld]: 1.36/1.05 ( (((mrel @ X2 @ ('#sk6' @ X2)) & (((~) @ (p @ ('#sk6' @ X2)))))) 1.36/1.05 | ~ ('#form2') 1.36/1.05 | ~ (mrel @ '#sk4' @ X2))), 1.36/1.05 inference('lazy_cnf_exists', [status(thm)], [zip_derived_cl66])). 1.36/1.05 thf(zip_derived_cl70, plain, 1.36/1.05 (![X2 : mworld]: 1.36/1.05 ( (mrel @ X2 @ ('#sk6' @ X2)) | ~ (mrel @ '#sk4' @ X2) | ~ ('#form2'))), 1.36/1.05 inference('lazy_cnf_and', [status(thm)], [zip_derived_cl68])). 1.36/1.05 thf(zip_derived_cl524, plain, 1.36/1.05 ((~ ('#form2') | (mrel @ '#sk4' @ ('#sk6' @ '#sk4')))), 1.36/1.05 inference('sup-', [status(thm)], [zip_derived_cl3, zip_derived_cl70])). 1.36/1.05 thf(mrel_euclidean, axiom, 1.36/1.05 (![W:mworld,V:mworld,U:mworld]: 1.36/1.05 ( ( ( mrel @ W @ V ) & ( mrel @ W @ U ) ) => ( mrel @ U @ V ) ))). 1.36/1.05 thf(zip_derived_cl2, plain, 1.36/1.05 ( (((!!) @ (^[Y0 : mworld]: 1.36/1.05 (((!!) @ (^[Y1 : mworld]: 1.36/1.05 (((!!) @ (^[Y2 : mworld]: 1.36/1.05 (((((mrel @ Y0 @ Y1) & (mrel @ 1.36/1.05 Y0 @ Y2))) => 1.36/1.05 (mrel @ Y2 @ Y1))))))))))))), 1.36/1.05 inference('cnf', [status(esa)], [mrel_euclidean])). 1.36/1.05 thf(zip_derived_cl4, plain, 1.36/1.05 (![X2 : mworld]: 1.36/1.05 (((!!) @ (^[Y0 : mworld]: 1.36/1.05 (((!!) @ (^[Y1 : mworld]: 1.36/1.05 (((((mrel @ X2 @ Y0) & (mrel @ X2 @ Y1))) => 1.36/1.05 (mrel @ Y1 @ Y0)))))))))), 1.36/1.05 inference('lazy_cnf_forall', [status(thm)], [zip_derived_cl2])). 1.36/1.05 thf(zip_derived_cl5, plain, 1.36/1.05 (![X2 : mworld, X4 : mworld]: 1.36/1.05 (((!!) @ (^[Y0 : mworld]: 1.36/1.05 (((((mrel @ X2 @ X4) & (mrel @ X2 @ Y0))) => (mrel @ 1.36/1.05 Y0 @ X4))))))), 1.36/1.05 inference('lazy_cnf_forall', [status(thm)], [zip_derived_cl4])). 1.36/1.05 thf(zip_derived_cl6, plain, 1.36/1.05 (![X2 : mworld, X4 : mworld, X6 : mworld]: 1.36/1.05 (((((mrel @ X2 @ X4) & (mrel @ X2 @ X6))) => (mrel @ X6 @ X4)))), 1.36/1.05 inference('lazy_cnf_forall', [status(thm)], [zip_derived_cl5])). 1.36/1.05 thf(zip_derived_cl7, plain, 1.36/1.05 (![X2 : mworld, X4 : mworld, X6 : mworld]: 1.36/1.05 (~ (((mrel @ X2 @ X4) & (mrel @ X2 @ X6))) | (mrel @ X6 @ X4))), 1.36/1.05 inference('lazy_cnf_imply', [status(thm)], [zip_derived_cl6])). 1.36/1.05 thf(zip_derived_cl8, plain, 1.36/1.05 (![X2 : mworld, X4 : mworld, X6 : mworld]: 1.36/1.05 (~ (mrel @ X2 @ X4) | ~ (mrel @ X2 @ X6) | (mrel @ X6 @ X4))), 1.36/1.05 inference('lazy_cnf_and', [status(thm)], [zip_derived_cl7])). 1.36/1.05 thf(zip_derived_cl576, plain, 1.36/1.05 (![X0 : mworld]: 1.36/1.05 (~ ('#form2') 1.36/1.05 | (mrel @ X0 @ ('#sk6' @ '#sk4')) 1.36/1.05 | ~ (mrel @ '#sk4' @ X0))), 1.36/1.05 inference('sup-', [status(thm)], [zip_derived_cl524, zip_derived_cl8])). 1.36/1.05 thf(zip_derived_cl587, plain, 1.36/1.05 ((~ ('#form2') 1.36/1.05 | (mrel @ ('#sk1' @ '#sk4') @ ('#sk6' @ '#sk4')) 1.36/1.05 | ~ ('#form2'))), 1.36/1.05 inference('sup-', [status(thm)], [zip_derived_cl80, zip_derived_cl576])). 1.36/1.05 thf(zip_derived_cl597, plain, 1.36/1.05 (( (mrel @ ('#sk1' @ '#sk4') @ ('#sk6' @ '#sk4')) | ~ ('#form2'))), 1.36/1.05 inference('simplify', [status(thm)], [zip_derived_cl587])). 1.36/1.05 thf(zip_derived_cl29, plain, 1.36/1.05 (![X2 : mworld]: 1.36/1.05 ( (((!!) @ (^[Y0 : mworld]: 1.36/1.05 (((mrel @ ('#sk1' @ X2) @ Y0) => (p @ Y0)))))) 1.36/1.05 | ~ (mrel @ mactual @ X2) 1.36/1.05 | ~ (((??) @ (^[Y0 : mworld]: 1.36/1.05 (((mrel @ mactual @ Y0) & 1.36/1.05 (((!!) @ (^[Y1 : mworld]: 1.36/1.05 (((mrel @ Y0 @ Y1) => 1.36/1.05 (((??) @ (^[Y2 : mworld]: 1.36/1.05 (((mrel @ Y1 @ Y2) & 1.36/1.05 (((~) @ (p @ Y2)))))))))))))))))))), 1.36/1.05 inference('lazy_cnf_and', [status(thm)], [zip_derived_cl27])). 1.36/1.05 thf(zip_derived_cl30, plain, 1.36/1.05 (( ('#form2') 1.36/1.05 | ~ (((??) @ (^[Y0 : mworld]: 1.36/1.05 (((mrel @ mactual @ Y0) & 1.36/1.05 (((!!) @ (^[Y1 : mworld]: 1.36/1.05 (((mrel @ Y0 @ Y1) => 1.36/1.05 (((??) @ (^[Y2 : mworld]: 1.36/1.05 (((mrel @ Y1 @ Y2) & 1.36/1.05 (((~) @ (p @ Y2)))))))))))))))))))), 1.36/1.05 define([status(thm)])). 1.36/1.05 thf(zip_derived_cl33, plain, 1.36/1.05 (![X2 : mworld]: 1.36/1.05 (~ ('#form2') 1.36/1.05 | ~ (mrel @ mactual @ X2) 1.36/1.05 | (((!!) @ (^[Y0 : mworld]: 1.36/1.05 (((mrel @ ('#sk1' @ X2) @ Y0) => (p @ Y0)))))))), 1.36/1.05 inference('renaming', [status(thm)], [zip_derived_cl29, zip_derived_cl30])). 1.36/1.05 thf(zip_derived_cl35, plain, 1.36/1.05 (![X2 : mworld, X4 : mworld]: 1.36/1.05 ( (((mrel @ ('#sk1' @ X2) @ X4) => (p @ X4))) 1.36/1.05 | ~ (mrel @ mactual @ X2) 1.36/1.05 | ~ ('#form2'))), 1.36/1.05 inference('lazy_cnf_forall', [status(thm)], [zip_derived_cl33])). 1.36/1.05 thf(zip_derived_cl37, plain, 1.36/1.05 (![X2 : mworld, X4 : mworld]: 1.36/1.05 (~ (mrel @ ('#sk1' @ X2) @ X4) 1.36/1.05 | (p @ X4) 1.36/1.05 | ~ ('#form2') 1.36/1.05 | ~ (mrel @ mactual @ X2))), 1.36/1.05 inference('lazy_cnf_imply', [status(thm)], [zip_derived_cl35])). 1.36/1.05 thf(zip_derived_cl900, plain, 1.36/1.05 ((~ ('#form2') 1.36/1.05 | ~ (mrel @ mactual @ '#sk4') 1.36/1.05 | ~ ('#form2') 1.36/1.05 | (p @ ('#sk6' @ '#sk4')))), 1.36/1.05 inference('sup-', [status(thm)], [zip_derived_cl597, zip_derived_cl37])). 1.36/1.05 thf(zip_derived_cl906, plain, 1.36/1.05 (( (p @ ('#sk6' @ '#sk4')) | ~ (mrel @ mactual @ '#sk4') | ~ ('#form2'))), 1.36/1.05 inference('simplify', [status(thm)], [zip_derived_cl900])). 1.36/1.05 thf(zip_derived_cl60, plain, (( (mrel @ mactual @ '#sk4') | ~ ('#form2'))), 1.36/1.05 inference('lazy_cnf_and', [status(thm)], [zip_derived_cl57])). 1.36/1.05 thf(zip_derived_cl970, plain, ((~ ('#form2') | (p @ ('#sk6' @ '#sk4')))), 1.36/1.05 inference('clc', [status(thm)], [zip_derived_cl906, zip_derived_cl60])). 1.36/1.05 thf(zip_derived_cl71, plain, 1.36/1.05 (![X2 : mworld]: 1.36/1.05 (~ (p @ ('#sk6' @ X2)) | ~ (mrel @ '#sk4' @ X2) | ~ ('#form2'))), 1.36/1.05 inference('lazy_cnf_and', [status(thm)], [zip_derived_cl68])). 1.36/1.05 thf(zip_derived_cl971, plain, 1.36/1.05 ((~ ('#form2') | ~ ('#form2') | ~ (mrel @ '#sk4' @ '#sk4'))), 1.36/1.05 inference('sup-', [status(thm)], [zip_derived_cl970, zip_derived_cl71])). 1.36/1.05 thf(zip_derived_cl3, plain, (![X2 : mworld]: (mrel @ X2 @ X2)), 1.36/1.05 inference('lazy_cnf_forall', [status(thm)], [zip_derived_cl0])). 1.36/1.05 thf(zip_derived_cl973, plain, ((~ ('#form2') | ~ ('#form2'))), 1.36/1.05 inference('demod', [status(thm)], [zip_derived_cl971, zip_derived_cl3])). 1.36/1.05 thf(zip_derived_cl974, plain, (~ ('#form2')), 1.36/1.05 inference('simplify', [status(thm)], [zip_derived_cl973])). 1.36/1.05 thf(zip_derived_cl986, plain, ( (mrel @ '#sk5' @ ('#sk3' @ '#sk5'))), 1.36/1.05 inference('demod', [status(thm)], [zip_derived_cl162, zip_derived_cl974])). 1.36/1.05 thf(zip_derived_cl3, plain, (![X2 : mworld]: (mrel @ X2 @ X2)), 1.36/1.05 inference('lazy_cnf_forall', [status(thm)], [zip_derived_cl0])). 1.36/1.05 thf(zip_derived_cl63, plain, 1.36/1.05 ((~ (((??) @ (^[Y0 : mworld]: 1.36/1.05 (((mrel @ '#sk5' @ Y0) & 1.36/1.05 (((!!) @ (^[Y1 : mworld]: 1.36/1.05 (((mrel @ Y0 @ Y1) => (p @ Y1))))))))))) 1.36/1.05 | ('#form2'))), 1.36/1.05 inference('lazy_cnf_imply', [status(thm)], [zip_derived_cl59])). 1.36/1.05 thf(zip_derived_cl65, plain, 1.36/1.05 (![X2 : mworld]: 1.36/1.05 (~ (((mrel @ '#sk5' @ X2) & 1.36/1.05 (((!!) @ (^[Y0 : mworld]: (((mrel @ X2 @ Y0) => (p @ Y0)))))))) 1.36/1.05 | ('#form2'))), 1.36/1.05 inference('lazy_cnf_forall', [status(thm)], [zip_derived_cl63])). 1.36/1.05 thf(zip_derived_cl67, plain, 1.36/1.05 (![X2 : mworld]: 1.36/1.05 (~ (mrel @ '#sk5' @ X2) 1.36/1.05 | ~ (((!!) @ (^[Y0 : mworld]: (((mrel @ X2 @ Y0) => (p @ Y0)))))) 1.36/1.05 | ('#form2'))), 1.36/1.05 inference('lazy_cnf_and', [status(thm)], [zip_derived_cl65])). 1.36/1.05 thf(zip_derived_cl69, plain, 1.36/1.05 (![X2 : mworld]: 1.36/1.05 (~ (((mrel @ X2 @ ('#sk7' @ X2)) => (p @ ('#sk7' @ X2)))) 1.36/1.05 | ('#form2') 1.36/1.05 | ~ (mrel @ '#sk5' @ X2))), 1.36/1.05 inference('lazy_cnf_exists', [status(thm)], [zip_derived_cl67])). 1.36/1.05 thf(zip_derived_cl72, plain, 1.36/1.05 (![X2 : mworld]: 1.36/1.05 ( (mrel @ X2 @ ('#sk7' @ X2)) | ~ (mrel @ '#sk5' @ X2) | ('#form2'))), 1.36/1.05 inference('lazy_cnf_imply', [status(thm)], [zip_derived_cl69])). 1.36/1.05 thf(zip_derived_cl635, plain, 1.36/1.05 (( ('#form2') | (mrel @ '#sk5' @ ('#sk7' @ '#sk5')))), 1.36/1.05 inference('sup-', [status(thm)], [zip_derived_cl3, zip_derived_cl72])). 1.36/1.05 thf(zip_derived_cl974, plain, (~ ('#form2')), 1.36/1.05 inference('simplify', [status(thm)], [zip_derived_cl973])). 1.36/1.05 thf(zip_derived_cl1009, plain, ( (mrel @ '#sk5' @ ('#sk7' @ '#sk5'))), 1.36/1.05 inference('demod', [status(thm)], [zip_derived_cl635, zip_derived_cl974])). 1.36/1.05 thf(zip_derived_cl8, plain, 1.36/1.05 (![X2 : mworld, X4 : mworld, X6 : mworld]: 1.36/1.05 (~ (mrel @ X2 @ X4) | ~ (mrel @ X2 @ X6) | (mrel @ X6 @ X4))), 1.36/1.05 inference('lazy_cnf_and', [status(thm)], [zip_derived_cl7])). 1.36/1.05 thf(zip_derived_cl1059, plain, 1.36/1.05 (![X0 : mworld]: 1.36/1.05 ( (mrel @ X0 @ ('#sk7' @ '#sk5')) | ~ (mrel @ '#sk5' @ X0))), 1.36/1.05 inference('sup-', [status(thm)], [zip_derived_cl1009, zip_derived_cl8])). 1.36/1.05 thf(zip_derived_cl1359, plain, 1.36/1.05 ( (mrel @ ('#sk3' @ '#sk5') @ ('#sk7' @ '#sk5'))), 1.36/1.05 inference('sup-', [status(thm)], [zip_derived_cl986, zip_derived_cl1059])). 1.36/1.05 thf(zip_derived_cl39, plain, 1.36/1.05 (![X2 : mworld]: 1.36/1.05 (~ (((??) @ (^[Y0 : mworld]: 1.36/1.05 (((mrel @ ('#sk3' @ X2) @ Y0) & (((~) @ (p @ Y0)))))))) 1.36/1.05 | ~ (mrel @ mactual @ X2) 1.36/1.05 | ('#form2'))), 1.36/1.05 inference('lazy_cnf_imply', [status(thm)], [zip_derived_cl36])). 1.36/1.05 thf(zip_derived_cl40, plain, 1.36/1.05 (![X2 : mworld, X4 : mworld]: 1.36/1.05 (~ (((mrel @ ('#sk3' @ X2) @ X4) & (((~) @ (p @ X4))))) 1.36/1.05 | ('#form2') 1.36/1.05 | ~ (mrel @ mactual @ X2))), 1.36/1.05 inference('lazy_cnf_forall', [status(thm)], [zip_derived_cl39])). 1.36/1.05 thf(zip_derived_cl41, plain, 1.36/1.05 (![X2 : mworld, X4 : mworld]: 1.36/1.05 (~ (mrel @ ('#sk3' @ X2) @ X4) 1.36/1.05 | (p @ X4) 1.36/1.05 | ~ (mrel @ mactual @ X2) 1.36/1.05 | ('#form2'))), 1.36/1.05 inference('lazy_cnf_and', [status(thm)], [zip_derived_cl40])). 1.36/1.05 thf(zip_derived_cl974, plain, (~ ('#form2')), 1.36/1.05 inference('simplify', [status(thm)], [zip_derived_cl973])). 1.36/1.05 thf(zip_derived_cl978, plain, 1.36/1.05 (![X2 : mworld, X4 : mworld]: 1.36/1.05 (~ (mrel @ ('#sk3' @ X2) @ X4) | (p @ X4) | ~ (mrel @ mactual @ X2))), 1.36/1.05 inference('demod', [status(thm)], [zip_derived_cl41, zip_derived_cl974])). 1.36/1.05 thf(zip_derived_cl1492, plain, 1.36/1.05 ((~ (mrel @ mactual @ '#sk5') | (p @ ('#sk7' @ '#sk5')))), 1.36/1.05 inference('sup-', [status(thm)], [zip_derived_cl1359, zip_derived_cl978])). 1.36/1.05 thf(zip_derived_cl62, plain, (( (mrel @ mactual @ '#sk5') | ('#form2'))), 1.36/1.05 inference('lazy_cnf_imply', [status(thm)], [zip_derived_cl59])). 1.36/1.05 thf(zip_derived_cl974, plain, (~ ('#form2')), 1.36/1.05 inference('simplify', [status(thm)], [zip_derived_cl973])). 1.36/1.05 thf(zip_derived_cl979, plain, ( (mrel @ mactual @ '#sk5')), 1.36/1.05 inference('demod', [status(thm)], [zip_derived_cl62, zip_derived_cl974])). 1.36/1.05 thf(zip_derived_cl1500, plain, ( (p @ ('#sk7' @ '#sk5'))), 1.36/1.05 inference('demod', [status(thm)], [zip_derived_cl1492, zip_derived_cl979])). 1.36/1.05 thf(zip_derived_cl73, plain, 1.36/1.05 (![X2 : mworld]: 1.36/1.05 (~ (p @ ('#sk7' @ X2)) | ~ (mrel @ '#sk5' @ X2) | ('#form2'))), 1.36/1.05 inference('lazy_cnf_imply', [status(thm)], [zip_derived_cl69])). 1.36/1.05 thf(zip_derived_cl974, plain, (~ ('#form2')), 1.36/1.05 inference('simplify', [status(thm)], [zip_derived_cl973])). 1.36/1.05 thf(zip_derived_cl981, plain, 1.36/1.05 (![X2 : mworld]: (~ (p @ ('#sk7' @ X2)) | ~ (mrel @ '#sk5' @ X2))), 1.36/1.05 inference('demod', [status(thm)], [zip_derived_cl73, zip_derived_cl974])). 1.36/1.05 thf(zip_derived_cl1502, plain, (~ (mrel @ '#sk5' @ '#sk5')), 1.36/1.05 inference('sup-', [status(thm)], [zip_derived_cl1500, zip_derived_cl981])). 1.36/1.05 thf(zip_derived_cl3, plain, (![X2 : mworld]: (mrel @ X2 @ X2)), 1.36/1.05 inference('lazy_cnf_forall', [status(thm)], [zip_derived_cl0])). 1.36/1.05 thf(zip_derived_cl1504, plain, ($false), 1.36/1.05 inference('demod', [status(thm)], [zip_derived_cl1502, zip_derived_cl3])). 1.36/1.05 1.36/1.05 % SZS output end Refutation 1.36/1.05 1.36/1.05 1.36/1.05 % Terminating... 1.84/1.11 % Runner terminated. 1.84/1.12 % Zipperpin 1.5 exiting 1.84/1.12 EOF