0.07/0.13 % Problem : theBenchmark.p : TPTP v0.0.0. Released v0.0.0. 0.07/0.16 % Command : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.rDGeQlzUUg true 0.15/0.37 % Computer : n022.cluster.edu 0.15/0.37 % Model : x86_64 x86_64 0.15/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz 0.15/0.37 % Memory : 8042.1875MB 0.15/0.37 % OS : Linux 3.10.0-693.el7.x86_64 0.15/0.37 % CPULimit : 960 0.15/0.37 % WCLimit : 120 0.15/0.37 % DateTime : Tue Aug 9 06:16:31 EDT 2022 0.15/0.37 % CPUTime : 0.15/0.37 % Running portfolio for 960 s 0.15/0.37 % File : /export/starexec/sandbox/benchmark/theBenchmark.p 0.15/0.37 % Number of cores: 8 0.15/0.38 % Python version: Python 3.6.8 0.15/0.38 % Running in HO mode 0.57/0.70 % Total configuration time : 828 0.57/0.70 % Estimated wc time : 1656 0.57/0.70 % Estimated cpu time (8 cpus) : 207.0 0.59/0.75 % /export/starexec/sandbox/solver/bin/lams/40_c.s.sh running for 80s 0.59/0.75 % /export/starexec/sandbox/solver/bin/lams/35_full_unif4.sh running for 80s 0.59/0.76 % /export/starexec/sandbox/solver/bin/lams/40_c_ic.sh running for 80s 0.59/0.76 % /export/starexec/sandbox/solver/bin/lams/15_e_short1.sh running for 30s 0.59/0.76 % /export/starexec/sandbox/solver/bin/lams/40_noforms.sh running for 90s 0.59/0.78 % /export/starexec/sandbox/solver/bin/lams/40_b.comb.sh running for 70s 0.59/0.79 % /export/starexec/sandbox/solver/bin/lams/20_acsne_simpl.sh running for 40s 0.60/0.79 % /export/starexec/sandbox/solver/bin/lams/30_b.l.sh running for 90s 0.60/0.80 % /export/starexec/sandbox/solver/bin/lams/30_sp5.sh running for 60s 0.61/0.90 % Solved by lams/30_b.l.sh. 0.61/0.90 % done 37 iterations in 0.072s 0.61/0.90 % SZS status Theorem for '/export/starexec/sandbox/benchmark/theBenchmark.p' 0.61/0.90 % SZS output start Refutation 0.61/0.90 thf(term_type, type, term: $tType). 0.61/0.90 thf(subst_type, type, subst: $tType). 0.61/0.90 thf(lam_type, type, lam: term > term). 0.61/0.90 thf(axvarcons_type, type, axvarcons: $o). 0.61/0.90 thf('#sk3_type', type, '#sk3': subst). 0.61/0.90 thf(push_type, type, push: term > subst > subst). 0.61/0.90 thf(axshiftcons_type, type, axshiftcons: $o). 0.61/0.90 thf('#sk4_type', type, '#sk4': term). 0.61/0.90 thf(hoaslaminj_type, type, hoaslaminj: $o). 0.61/0.90 thf(one_type, type, one: term). 0.61/0.90 thf(id_type, type, id: subst). 0.61/0.90 thf(comp_type, type, comp: subst > subst > subst). 0.61/0.90 thf(sh_type, type, sh: subst). 0.61/0.90 thf(laminj_type, type, laminj: $o). 0.61/0.90 thf('#sk1_type', type, '#sk1': subst > term > term). 0.61/0.90 thf(sub_type, type, sub: term > subst > term). 0.61/0.90 thf('#sk2_type', type, '#sk2': subst > term > term). 0.61/0.90 thf(hoaslam_type, type, hoaslam: subst > (subst > term > term) > term). 0.61/0.90 thf(hoaslaminj_lthm_type, type, hoaslaminj_lthm: $o). 0.61/0.90 thf(thm, conjecture, (hoaslaminj_lthm)). 0.61/0.90 thf(zf_stmt_0, negated_conjecture, (~( hoaslaminj_lthm )), 0.61/0.90 inference('cnf.neg', [status(esa)], [thm])). 0.61/0.90 thf(zip_derived_cl0, plain, (~ (hoaslaminj_lthm)), 0.61/0.90 inference('cnf', [status(esa)], [zf_stmt_0])). 0.61/0.90 thf(hoaslaminj_lthm, axiom, ~ (hoaslaminj_lthm) => 0.61/0.90 ((((axvarcons) => (((axshiftcons) => (((laminj) => (hoaslaminj))))))) != 0.61/0.90 ($true))). 0.61/0.90 thf('0', plain, 0.61/0.90 (( ~( hoaslaminj_lthm ) ) <=> 0.61/0.90 ( ~( ( axvarcons ) => 0.61/0.90 ( ( axshiftcons ) => ( ( laminj ) => ( hoaslaminj ) ) ) ) )), 0.61/0.90 inference('rw.lit', [status(esa)], [hoaslaminj_lthm])). 0.61/0.90 thf(zip_derived_cl1, plain, 0.61/0.90 (~ (((axvarcons) => (((axshiftcons) => (((laminj) => (hoaslaminj)))))))), 0.61/0.90 inference('rw_clause', [status(thm)], [zip_derived_cl0, '0'])). 0.61/0.90 thf(zip_derived_cl3, plain, 0.61/0.90 (~ (((axshiftcons) => (((laminj) => (hoaslaminj)))))), 0.61/0.90 inference('lazy_cnf_imply', [status(thm)], [zip_derived_cl1])). 0.61/0.90 thf(zip_derived_cl6, plain, (~ (((laminj) => (hoaslaminj)))), 0.61/0.90 inference('lazy_cnf_imply', [status(thm)], [zip_derived_cl3])). 0.61/0.90 thf(zip_derived_cl10, plain, (~ (hoaslaminj)), 0.61/0.90 inference('lazy_cnf_imply', [status(thm)], [zip_derived_cl6])). 0.61/0.90 thf(hoaslaminj, axiom, ~ (hoaslaminj) => 0.61/0.90 ((((!!) @ (^[Y0 : subst > term > term]: 0.61/0.90 (((((!!) @ (^[Y1 : subst]: 0.61/0.90 (((!!) @ (^[Y2 : term]: 0.61/0.90 (((!!) @ (^[Y3 : subst]: 0.61/0.90 (((sub @ 0.61/0.90 (Y0 @ Y1 @ Y2) @ Y3) = 0.61/0.90 (Y0 @ 0.61/0.90 (comp @ Y1 @ Y3) @ 0.61/0.90 (sub @ Y2 @ Y3))))))))))))) => 0.61/0.90 (((!!) @ (^[Y1 : subst > term > term]: 0.61/0.90 (((((!!) @ (^[Y2 : subst]: 0.61/0.90 (((!!) @ (^[Y3 : term]: 0.61/0.90 (((!!) @ (^[Y4 : subst]: 0.61/0.90 (( 0.61/0.90 (sub @ 0.61/0.90 ( 0.61/0.90 Y1 @ 0.61/0.90 Y2 @ Y3) @ 0.61/0.90 Y4) = 0.61/0.90 (Y1 @ 0.61/0.90 ( 0.61/0.90 comp @ 0.61/0.90 Y2 @ Y4) @ 0.61/0.90 ( 0.61/0.90 sub @ 0.61/0.90 Y3 @ Y4))))))))))))) => 0.61/0.90 (((((hoaslam @ id @ 0.61/0.90 (^[Y2 : subst,Y3 : term]: (Y0 @ Y2 @ Y3))) = 0.61/0.90 (hoaslam @ id @ 0.61/0.90 (^[Y2 : subst,Y3 : term]: (Y1 @ Y2 @ Y3))))) => 0.61/0.90 (((!!) @ (^[Y2 : subst]: 0.61/0.90 (((!!) @ (^[Y3 : term]: 0.61/0.90 (((Y0 @ Y2 @ Y3) = 0.61/0.90 (Y1 @ Y2 @ Y3))))))))))))))))))))) 0.61/0.90 != ($true))). 0.61/0.90 thf('1', plain, 0.61/0.90 (( ~( hoaslaminj ) ) <=> 0.61/0.90 ( ~( ![X5:( subst > term > term )]: 0.61/0.90 ( ( ![X7:subst,X9:term,X11:subst]: 0.61/0.90 ( ( sub @ ( X5 @ X7 @ X9 ) @ X11 ) = 0.61/0.90 ( X5 @ ( comp @ X7 @ X11 ) @ ( sub @ X9 @ X11 ) ) ) ) => 0.61/0.90 ( ![X13:( subst > term > term )]: 0.61/0.90 ( ( ![X15:subst,X17:term,X19:subst]: 0.61/0.90 ( ( sub @ ( X13 @ X15 @ X17 ) @ X19 ) = 0.61/0.90 ( X13 @ ( comp @ X15 @ X19 ) @ ( sub @ X17 @ X19 ) ) ) ) => 0.61/0.90 ( ( ( hoaslam @ 0.61/0.90 id @ ( ^[V_1:subst,V_2:term]: ( X5 @ V_1 @ V_2 ) ) ) = 0.61/0.90 ( hoaslam @ 0.61/0.90 id @ ( ^[V_3:subst,V_4:term]: ( X13 @ V_3 @ V_4 ) ) ) ) => 0.61/0.90 ( ![X21:subst,X23:term]: 0.61/0.90 ( ( X5 @ X21 @ X23 ) = ( X13 @ X21 @ X23 ) ) ) ) ) ) ) ) )), 0.61/0.90 inference('rw.lit', [status(esa)], [hoaslaminj])). 0.61/0.90 thf(zip_derived_cl14, plain, 0.61/0.90 (~ (((!!) @ (^[Y0 : subst > term > term]: 0.61/0.90 (((((!!) @ (^[Y1 : subst]: 0.61/0.90 (((!!) @ (^[Y2 : term]: 0.61/0.90 (((!!) @ (^[Y3 : subst]: 0.61/0.90 (((sub @ 0.61/0.90 (Y0 @ Y1 @ Y2) @ 0.61/0.90 Y3) = (Y0 @ 0.61/0.90 (comp @ Y1 @ Y3) @ 0.61/0.90 (sub @ Y2 @ Y3))))))))))))) => 0.61/0.90 (((!!) @ (^[Y1 : subst > term > term]: 0.61/0.90 (((((!!) @ (^[Y2 : subst]: 0.61/0.90 (((!!) @ (^[Y3 : term]: 0.61/0.90 (((!!) @ ( 0.61/0.90 ^[Y4 : subst]: 0.61/0.90 (((sub @ 0.61/0.90 (Y1 @ Y2 @ 0.61/0.90 Y3) @ 0.61/0.90 Y4) = (Y1 @ 0.61/0.90 (comp @ 0.61/0.90 Y2 @ Y4) @ 0.61/0.90 (sub @ Y3 @ 0.61/0.90 Y4))))))))))))) => 0.61/0.90 (((((hoaslam @ id @ 0.61/0.90 (^[Y2 : subst,Y3 : term]: 0.61/0.90 (Y0 @ Y2 @ Y3))) = 0.61/0.90 (hoaslam @ id @ 0.61/0.90 (^[Y2 : subst,Y3 : term]: 0.61/0.90 (Y1 @ Y2 @ Y3))))) => 0.61/0.90 (((!!) @ (^[Y2 : subst]: 0.61/0.90 (((!!) @ (^[Y3 : term]: 0.61/0.90 (((Y0 @ Y2 @ 0.61/0.90 Y3) = (Y1 @ 0.61/0.90 Y2 @ Y3)))))))))))))))))))))), 0.61/0.90 inference('rw_clause', [status(thm)], [zip_derived_cl10, '1'])). 0.61/0.90 thf(zip_derived_cl18, plain, 0.61/0.90 (~ (((!!) @ (^[Y0 : subst > term > term]: 0.61/0.90 (((((!!) @ (^[Y1 : subst]: 0.61/0.90 (((!!) @ (^[Y2 : term]: 0.61/0.90 (((!!) @ (^[Y3 : subst]: 0.61/0.90 (((sub @ 0.61/0.90 (Y0 @ Y1 @ Y2) @ 0.61/0.90 Y3) = (Y0 @ 0.61/0.90 (comp @ Y1 @ Y3) @ 0.61/0.90 (sub @ Y2 @ Y3))))))))))))) => 0.61/0.90 (((!!) @ (^[Y1 : subst > term > term]: 0.61/0.90 (((((!!) @ (^[Y2 : subst]: 0.61/0.90 (((!!) @ (^[Y3 : term]: 0.61/0.90 (((!!) @ ( 0.61/0.90 ^[Y4 : subst]: 0.61/0.90 (((sub @ 0.61/0.90 (Y1 @ Y2 @ 0.61/0.90 Y3) @ 0.61/0.90 Y4) = (Y1 @ 0.61/0.90 (comp @ 0.61/0.90 Y2 @ Y4) @ 0.61/0.90 (sub @ Y3 @ 0.61/0.90 Y4))))))))))))) => 0.61/0.90 (((((hoaslam @ id @ Y0) = (hoaslam @ id @ 0.61/0.90 Y1))) => 0.61/0.90 (((!!) @ (^[Y2 : subst]: 0.61/0.90 (((!!) @ (^[Y3 : term]: 0.61/0.90 (((Y0 @ Y2 @ 0.61/0.90 Y3) = (Y1 @ 0.61/0.90 Y2 @ Y3)))))))))))))))))))))), 0.61/0.90 inference('ho_norm', [status(thm)], [zip_derived_cl14])). 0.61/0.90 thf(zip_derived_cl19, plain, 0.61/0.90 (~ (((((!!) @ (^[Y0 : subst]: 0.61/0.90 (((!!) @ (^[Y1 : term]: 0.61/0.90 (((!!) @ (^[Y2 : subst]: 0.61/0.90 (((sub @ ('#sk1' @ Y0 @ Y1) @ 0.61/0.90 Y2) = ('#sk1' @ 0.61/0.90 (comp @ Y0 @ Y2) @ 0.61/0.90 (sub @ Y1 @ Y2))))))))))))) => 0.61/0.90 (((!!) @ (^[Y0 : subst > term > term]: 0.61/0.90 (((((!!) @ (^[Y1 : subst]: 0.61/0.90 (((!!) @ (^[Y2 : term]: 0.61/0.90 (((!!) @ (^[Y3 : subst]: 0.61/0.90 (((sub @ 0.61/0.90 (Y0 @ Y1 @ Y2) @ 0.61/0.90 Y3) = (Y0 @ 0.61/0.90 (comp @ Y1 @ Y3) @ 0.61/0.90 (sub @ Y2 @ Y3))))))))))))) => 0.61/0.90 (((((hoaslam @ id @ '#sk1') = (hoaslam @ id @ Y0))) => 0.61/0.90 (((!!) @ (^[Y1 : subst]: 0.61/0.90 (((!!) @ (^[Y2 : term]: 0.61/0.90 ((('#sk1' @ Y1 @ Y2) = 0.61/0.90 (Y0 @ Y1 @ Y2))))))))))))))))))), 0.61/0.90 inference('lazy_cnf_exists', [status(thm)], [zip_derived_cl18])). 0.61/0.90 thf(hoaslam, axiom,(( hoaslam @ (X1)@ (X0)) = ((lam @ (X0 @ sh @ one))))). 0.61/0.90 thf('2', plain, 0.61/0.90 (![X1:subst,X0:( subst > term > term )]: 0.61/0.90 ( ( hoaslam @ X1 @ X0 ) = ( lam @ ( X0 @ sh @ one ) ) )), 0.61/0.90 define([status(thm)])). 0.61/0.90 thf(zip_derived_cl22, plain, 0.61/0.90 (~ (((((!!) @ (^[Y0 : subst]: 0.61/0.90 (((!!) @ (^[Y1 : term]: 0.61/0.90 (((!!) @ (^[Y2 : subst]: 0.61/0.90 (((sub @ ('#sk1' @ Y0 @ Y1) @ 0.61/0.90 Y2) = ('#sk1' @ 0.61/0.90 (comp @ Y0 @ Y2) @ 0.61/0.90 (sub @ Y1 @ Y2))))))))))))) => 0.61/0.90 (((!!) @ (^[Y0 : subst > term > term]: 0.61/0.90 (((((!!) @ (^[Y1 : subst]: 0.61/0.90 (((!!) @ (^[Y2 : term]: 0.61/0.90 (((!!) @ (^[Y3 : subst]: 0.61/0.90 (((sub @ 0.61/0.90 (Y0 @ Y1 @ Y2) @ 0.61/0.90 Y3) = (Y0 @ 0.61/0.90 (comp @ Y1 @ Y3) @ 0.61/0.90 (sub @ Y2 @ Y3))))))))))))) => 0.61/0.90 (((((lam @ ('#sk1' @ sh @ one)) = (hoaslam @ id @ Y0))) => 0.61/0.90 (((!!) @ (^[Y1 : subst]: 0.61/0.90 (((!!) @ (^[Y2 : term]: 0.61/0.90 ((('#sk1' @ Y1 @ Y2) = 0.61/0.90 (Y0 @ Y1 @ Y2))))))))))))))))))), 0.61/0.90 inference('rw', [status(thm)], [zip_derived_cl19, '2'])). 0.61/0.90 thf(zip_derived_cl24, plain, 0.61/0.90 (~ (((!!) @ (^[Y0 : subst > term > term]: 0.61/0.90 (((((!!) @ (^[Y1 : subst]: 0.61/0.90 (((!!) @ (^[Y2 : term]: 0.61/0.90 (((!!) @ (^[Y3 : subst]: 0.61/0.90 (((sub @ 0.61/0.90 (Y0 @ Y1 @ Y2) @ 0.61/0.90 Y3) = (Y0 @ 0.61/0.90 (comp @ Y1 @ Y3) @ 0.61/0.90 (sub @ Y2 @ Y3))))))))))))) => 0.61/0.90 (((((lam @ ('#sk1' @ sh @ one)) = (hoaslam @ id @ Y0))) => 0.61/0.90 (((!!) @ (^[Y1 : subst]: 0.61/0.90 (((!!) @ (^[Y2 : term]: 0.61/0.90 ((('#sk1' @ Y1 @ Y2) = (Y0 @ 0.61/0.90 Y1 @ Y2))))))))))))))))), 0.61/0.90 inference('lazy_cnf_imply', [status(thm)], [zip_derived_cl22])). 0.61/0.90 thf(zip_derived_cl27, plain, 0.61/0.90 (~ (((((!!) @ (^[Y0 : subst]: 0.61/0.90 (((!!) @ (^[Y1 : term]: 0.61/0.90 (((!!) @ (^[Y2 : subst]: 0.61/0.90 (((sub @ ('#sk2' @ Y0 @ Y1) @ 0.61/0.90 Y2) = ('#sk2' @ 0.61/0.90 (comp @ Y0 @ Y2) @ 0.61/0.90 (sub @ Y1 @ Y2))))))))))))) => 0.61/0.90 (((((lam @ ('#sk1' @ sh @ one)) = (hoaslam @ id @ '#sk2'))) => 0.61/0.90 (((!!) @ (^[Y0 : subst]: 0.61/0.90 (((!!) @ (^[Y1 : term]: 0.61/0.90 ((('#sk1' @ Y0 @ Y1) = ('#sk2' @ Y0 @ Y1)))))))))))))), 0.61/0.90 inference('lazy_cnf_exists', [status(thm)], [zip_derived_cl24])). 0.61/0.90 thf(zip_derived_cl30, plain, 0.61/0.90 (~ (((((!!) @ (^[Y0 : subst]: 0.61/0.90 (((!!) @ (^[Y1 : term]: 0.61/0.90 (((!!) @ (^[Y2 : subst]: 0.61/0.90 (((sub @ ('#sk2' @ Y0 @ Y1) @ 0.61/0.90 Y2) = ('#sk2' @ 0.61/0.90 (comp @ Y0 @ Y2) @ 0.61/0.90 (sub @ Y1 @ Y2))))))))))))) => 0.61/0.90 (((((lam @ ('#sk1' @ sh @ one)) = (lam @ ('#sk2' @ sh @ one)))) => 0.61/0.90 (((!!) @ (^[Y0 : subst]: 0.61/0.90 (((!!) @ (^[Y1 : term]: 0.61/0.90 ((('#sk1' @ Y0 @ Y1) = ('#sk2' @ Y0 @ Y1)))))))))))))), 0.61/0.90 inference('rw', [status(thm)], [zip_derived_cl27, '2'])). 0.61/0.90 thf(zip_derived_cl32, plain, 0.61/0.90 (~ (((((lam @ ('#sk1' @ sh @ one)) = (lam @ ('#sk2' @ sh @ one)))) => 0.61/0.90 (((!!) @ (^[Y0 : subst]: 0.61/0.90 (((!!) @ (^[Y1 : term]: 0.61/0.90 ((('#sk1' @ Y0 @ Y1) = ('#sk2' @ Y0 @ Y1)))))))))))), 0.61/0.90 inference('lazy_cnf_imply', [status(thm)], [zip_derived_cl30])). 0.61/0.90 thf(zip_derived_cl35, plain, 0.61/0.90 ( (((lam @ ('#sk1' @ sh @ one)) = (lam @ ('#sk2' @ sh @ one))))), 0.61/0.90 inference('lazy_cnf_imply', [status(thm)], [zip_derived_cl32])). 0.61/0.90 thf(zip_derived_cl39, plain, 0.61/0.90 (((lam @ ('#sk1' @ sh @ one)) = (lam @ ('#sk2' @ sh @ one)))), 0.61/0.90 inference('simplify nested equalities', [status(thm)], [zip_derived_cl35])). 0.61/0.90 thf(zip_derived_cl9, plain, ( (laminj)), 0.61/0.90 inference('lazy_cnf_imply', [status(thm)], [zip_derived_cl6])). 0.61/0.90 thf(laminj, axiom, (laminj) => 0.61/0.90 ((((!!) @ (^[Y0 : term]: 0.61/0.90 (((!!) @ (^[Y1 : term]: 0.61/0.90 (((((lam @ Y0) = (lam @ Y1))) => (((Y0) = (Y1))))))))))) 0.61/0.90 = ($true))). 0.61/0.90 thf('3', plain, 0.61/0.90 (( laminj ) <=> 0.61/0.90 ( ![X5:term,X7:term]: 0.61/0.90 ( ( ( lam @ X5 ) = ( lam @ X7 ) ) => ( ( X5 ) = ( X7 ) ) ) )), 0.61/0.90 inference('rw.lit', [status(esa)], [laminj])). 0.61/0.90 thf(zip_derived_cl13, plain, 0.61/0.90 ( (((!!) @ (^[Y0 : term]: 0.61/0.90 (((!!) @ (^[Y1 : term]: 0.61/0.90 (((((lam @ Y0) = (lam @ Y1))) => 0.61/0.90 (((Y0) = (Y1)))))))))))), 0.61/0.90 inference('rw_clause', [status(thm)], [zip_derived_cl9, '3'])). 0.61/0.90 thf(zip_derived_cl17, plain, 0.61/0.90 (![X2 : term]: 0.61/0.90 (((!!) @ (^[Y0 : term]: 0.61/0.90 (((((lam @ X2) = (lam @ Y0))) => (((X2) = (Y0))))))))), 0.61/0.90 inference('lazy_cnf_forall', [status(thm)], [zip_derived_cl13])). 0.61/0.90 thf(zip_derived_cl21, plain, 0.61/0.90 (![X2 : term, X4 : term]: 0.61/0.90 (((((lam @ X2) = (lam @ X4))) => (((X2) = (X4)))))), 0.61/0.90 inference('lazy_cnf_forall', [status(thm)], [zip_derived_cl17])). 0.61/0.90 thf(zip_derived_cl25, plain, 0.61/0.90 (![X2 : term, X4 : term]: 0.61/0.90 (~ (((lam @ X2) = (lam @ X4))) | (((X2) = (X4))))), 0.61/0.90 inference('lazy_cnf_imply', [status(thm)], [zip_derived_cl21])). 0.61/0.90 thf(zip_derived_cl28, plain, 0.61/0.90 (![X2 : term, X4 : term]: (((lam @ X2) != (lam @ X4)) | ((X2) = (X4)))), 0.61/0.90 inference('simplify nested equalities', [status(thm)], [zip_derived_cl25])). 0.61/0.90 thf(zip_derived_cl73, plain, 0.61/0.90 (![X0 : term]: 0.61/0.90 (((lam @ X0) != (lam @ ('#sk2' @ sh @ one))) 0.61/0.90 | ((X0) = ('#sk1' @ sh @ one)))), 0.61/0.90 inference('sup-', [status(thm)], [zip_derived_cl39, zip_derived_cl28])). 0.61/0.90 thf(zip_derived_cl88, plain, ((('#sk2' @ sh @ one) = ('#sk1' @ sh @ one))), 0.61/0.90 inference('eq_res', [status(thm)], [zip_derived_cl73])). 0.61/0.90 thf(zip_derived_cl5, plain, ( (axshiftcons)), 0.61/0.90 inference('lazy_cnf_imply', [status(thm)], [zip_derived_cl3])). 0.61/0.90 thf(axshiftcons, axiom, (axshiftcons) => 0.61/0.90 ((((!!) @ (^[Y0 : term]: 0.61/0.90 (((!!) @ (^[Y1 : subst]: 0.61/0.90 (((comp @ sh @ (push @ Y0 @ Y1)) = (Y1))))))))) 0.61/0.90 = ($true))). 0.61/0.90 thf('4', plain, 0.61/0.90 (( axshiftcons ) <=> 0.61/0.90 ( ![X5:term,X7:subst]: ( ( comp @ sh @ ( push @ X5 @ X7 ) ) = ( X7 ) ) )), 0.61/0.90 inference('rw.lit', [status(esa)], [axshiftcons])). 0.61/0.90 thf(zip_derived_cl8, plain, 0.61/0.90 ( (((!!) @ (^[Y0 : term]: 0.61/0.90 (((!!) @ (^[Y1 : subst]: 0.61/0.90 (((comp @ sh @ (push @ Y0 @ Y1)) = (Y1)))))))))), 0.61/0.90 inference('rw_clause', [status(thm)], [zip_derived_cl5, '4'])). 0.61/0.90 thf(zip_derived_cl12, plain, 0.61/0.90 (![X2 : term]: 0.61/0.90 (((!!) @ (^[Y0 : subst]: (((comp @ sh @ (push @ X2 @ Y0)) = (Y0))))))), 0.61/0.90 inference('lazy_cnf_forall', [status(thm)], [zip_derived_cl8])). 0.61/0.90 thf(zip_derived_cl16, plain, 0.61/0.90 (![X2 : term, X4 : subst]: (((comp @ sh @ (push @ X2 @ X4)) = (X4)))), 0.61/0.90 inference('lazy_cnf_forall', [status(thm)], [zip_derived_cl12])). 0.61/0.90 thf(zip_derived_cl20, plain, 0.61/0.90 (![X2 : term, X4 : subst]: ((comp @ sh @ (push @ X2 @ X4)) = (X4))), 0.61/0.90 inference('simplify nested equalities', [status(thm)], [zip_derived_cl16])). 0.61/0.90 thf(zip_derived_cl31, plain, 0.61/0.90 ( (((!!) @ (^[Y0 : subst]: 0.61/0.90 (((!!) @ (^[Y1 : term]: 0.61/0.90 (((!!) @ (^[Y2 : subst]: 0.61/0.90 (((sub @ ('#sk2' @ Y0 @ Y1) @ Y2) = 0.61/0.90 ('#sk2' @ (comp @ Y0 @ Y2) @ 0.61/0.90 (sub @ Y1 @ Y2)))))))))))))), 0.61/0.90 inference('lazy_cnf_imply', [status(thm)], [zip_derived_cl30])). 0.61/0.90 thf(zip_derived_cl34, plain, 0.61/0.90 (![X2 : subst]: 0.61/0.90 (((!!) @ (^[Y0 : term]: 0.61/0.90 (((!!) @ (^[Y1 : subst]: 0.61/0.90 (((sub @ ('#sk2' @ X2 @ Y0) @ Y1) = 0.61/0.90 ('#sk2' @ (comp @ X2 @ Y1) @ 0.61/0.90 (sub @ Y0 @ Y1))))))))))), 0.61/0.90 inference('lazy_cnf_forall', [status(thm)], [zip_derived_cl31])). 0.61/0.90 thf(zip_derived_cl38, plain, 0.61/0.90 (![X2 : subst, X4 : term]: 0.61/0.90 (((!!) @ (^[Y0 : subst]: 0.61/0.90 (((sub @ ('#sk2' @ X2 @ X4) @ Y0) = ('#sk2' @ 0.61/0.90 (comp @ X2 @ Y0) @ (sub @ X4 @ Y0)))))))), 0.61/0.90 inference('lazy_cnf_forall', [status(thm)], [zip_derived_cl34])). 0.61/0.90 thf(zip_derived_cl41, plain, 0.61/0.90 (![X2 : subst, X4 : term, X6 : subst]: 0.61/0.90 (((sub @ ('#sk2' @ X2 @ X4) @ X6) = ('#sk2' @ (comp @ X2 @ X6) @ 0.61/0.90 (sub @ X4 @ X6))))), 0.61/0.90 inference('lazy_cnf_forall', [status(thm)], [zip_derived_cl38])). 0.61/0.90 thf(zip_derived_cl43, plain, 0.61/0.90 (![X2 : subst, X4 : term, X6 : subst]: 0.61/0.90 ((sub @ ('#sk2' @ X2 @ X4) @ X6) 0.61/0.90 = ('#sk2' @ (comp @ X2 @ X6) @ (sub @ X4 @ X6)))), 0.61/0.90 inference('simplify nested equalities', [status(thm)], [zip_derived_cl41])). 0.61/0.90 thf(zip_derived_cl101, plain, 0.61/0.90 (![X0 : subst, X1 : term, X2 : term]: 0.61/0.90 ((sub @ ('#sk2' @ sh @ X2) @ (push @ X1 @ X0)) 0.61/0.90 = ('#sk2' @ X0 @ (sub @ X2 @ (push @ X1 @ X0))))), 0.61/0.90 inference('sup+', [status(thm)], [zip_derived_cl20, zip_derived_cl43])). 0.61/0.90 thf(zip_derived_cl253, plain, 0.61/0.90 (![X0 : subst, X1 : term]: 0.61/0.90 ((sub @ ('#sk1' @ sh @ one) @ (push @ X1 @ X0)) 0.61/0.90 = ('#sk2' @ X0 @ (sub @ one @ (push @ X1 @ X0))))), 0.61/0.90 inference('sup+', [status(thm)], [zip_derived_cl88, zip_derived_cl101])). 0.61/0.90 thf(zip_derived_cl2, plain, ( (axvarcons)), 0.61/0.90 inference('lazy_cnf_imply', [status(thm)], [zip_derived_cl1])). 0.61/0.90 thf(axvarcons, axiom, (axvarcons) => 0.61/0.90 ((((!!) @ (^[Y0 : term]: 0.61/0.90 (((!!) @ (^[Y1 : subst]: 0.61/0.90 (((sub @ one @ (push @ Y0 @ Y1)) = (Y0))))))))) 0.61/0.90 = ($true))). 0.61/0.90 thf('5', plain, 0.61/0.90 (( axvarcons ) <=> 0.61/0.90 ( ![X5:term,X7:subst]: ( ( sub @ one @ ( push @ X5 @ X7 ) ) = ( X5 ) ) )), 0.61/0.90 inference('rw.lit', [status(esa)], [axvarcons])). 0.61/0.90 thf(zip_derived_cl4, plain, 0.61/0.90 ( (((!!) @ (^[Y0 : term]: 0.61/0.90 (((!!) @ (^[Y1 : subst]: 0.61/0.90 (((sub @ one @ (push @ Y0 @ Y1)) = (Y0)))))))))), 0.61/0.90 inference('rw_clause', [status(thm)], [zip_derived_cl2, '5'])). 0.61/0.90 thf(zip_derived_cl7, plain, 0.61/0.90 (![X2 : term]: 0.61/0.90 (((!!) @ (^[Y0 : subst]: (((sub @ one @ (push @ X2 @ Y0)) = (X2))))))), 0.61/0.90 inference('lazy_cnf_forall', [status(thm)], [zip_derived_cl4])). 0.61/0.90 thf(zip_derived_cl11, plain, 0.61/0.90 (![X2 : term, X4 : subst]: (((sub @ one @ (push @ X2 @ X4)) = (X2)))), 0.61/0.90 inference('lazy_cnf_forall', [status(thm)], [zip_derived_cl7])). 0.61/0.90 thf(zip_derived_cl15, plain, 0.61/0.90 (![X2 : term, X4 : subst]: ((sub @ one @ (push @ X2 @ X4)) = (X2))), 0.61/0.90 inference('simplify nested equalities', [status(thm)], [zip_derived_cl11])). 0.61/0.90 thf(zip_derived_cl20, plain, 0.61/0.90 (![X2 : term, X4 : subst]: ((comp @ sh @ (push @ X2 @ X4)) = (X4))), 0.61/0.90 inference('simplify nested equalities', [status(thm)], [zip_derived_cl16])). 0.61/0.90 thf(zip_derived_cl23, plain, 0.61/0.90 ( (((!!) @ (^[Y0 : subst]: 0.61/0.90 (((!!) @ (^[Y1 : term]: 0.61/0.90 (((!!) @ (^[Y2 : subst]: 0.61/0.90 (((sub @ ('#sk1' @ Y0 @ Y1) @ Y2) = 0.61/0.90 ('#sk1' @ (comp @ Y0 @ Y2) @ 0.61/0.90 (sub @ Y1 @ Y2)))))))))))))), 0.61/0.90 inference('lazy_cnf_imply', [status(thm)], [zip_derived_cl22])). 0.61/0.90 thf(zip_derived_cl26, plain, 0.61/0.90 (![X2 : subst]: 0.61/0.90 (((!!) @ (^[Y0 : term]: 0.61/0.90 (((!!) @ (^[Y1 : subst]: 0.61/0.90 (((sub @ ('#sk1' @ X2 @ Y0) @ Y1) = 0.61/0.90 ('#sk1' @ (comp @ X2 @ Y1) @ 0.61/0.90 (sub @ Y0 @ Y1))))))))))), 0.61/0.90 inference('lazy_cnf_forall', [status(thm)], [zip_derived_cl23])). 0.61/0.90 thf(zip_derived_cl29, plain, 0.61/0.90 (![X2 : subst, X4 : term]: 0.61/0.90 (((!!) @ (^[Y0 : subst]: 0.61/0.90 (((sub @ ('#sk1' @ X2 @ X4) @ Y0) = ('#sk1' @ 0.61/0.90 (comp @ X2 @ Y0) @ (sub @ X4 @ Y0)))))))), 0.61/0.90 inference('lazy_cnf_forall', [status(thm)], [zip_derived_cl26])). 0.61/0.90 thf(zip_derived_cl33, plain, 0.61/0.90 (![X2 : subst, X4 : term, X6 : subst]: 0.61/0.90 (((sub @ ('#sk1' @ X2 @ X4) @ X6) = ('#sk1' @ (comp @ X2 @ X6) @ 0.61/0.90 (sub @ X4 @ X6))))), 0.61/0.90 inference('lazy_cnf_forall', [status(thm)], [zip_derived_cl29])). 0.61/0.90 thf(zip_derived_cl37, plain, 0.61/0.90 (![X2 : subst, X4 : term, X6 : subst]: 0.61/0.90 ((sub @ ('#sk1' @ X2 @ X4) @ X6) 0.61/0.90 = ('#sk1' @ (comp @ X2 @ X6) @ (sub @ X4 @ X6)))), 0.61/0.90 inference('simplify nested equalities', [status(thm)], [zip_derived_cl33])). 0.61/0.90 thf(zip_derived_cl67, plain, 0.61/0.90 (![X0 : subst, X1 : term, X2 : term]: 0.61/0.90 ((sub @ ('#sk1' @ sh @ X2) @ (push @ X1 @ X0)) 0.61/0.90 = ('#sk1' @ X0 @ (sub @ X2 @ (push @ X1 @ X0))))), 0.61/0.90 inference('sup+', [status(thm)], [zip_derived_cl20, zip_derived_cl37])). 0.61/0.90 thf(zip_derived_cl111, plain, 0.61/0.90 (![X0 : term, X1 : subst]: 0.61/0.90 ((sub @ ('#sk1' @ sh @ one) @ (push @ X0 @ X1)) = ('#sk1' @ X1 @ X0))), 0.61/0.90 inference('sup+', [status(thm)], [zip_derived_cl15, zip_derived_cl67])). 0.61/0.90 thf(zip_derived_cl15, plain, 0.61/0.90 (![X2 : term, X4 : subst]: ((sub @ one @ (push @ X2 @ X4)) = (X2))), 0.61/0.90 inference('simplify nested equalities', [status(thm)], [zip_derived_cl11])). 0.61/0.90 thf(zip_derived_cl271, plain, 0.61/0.90 (![X0 : subst, X1 : term]: (('#sk1' @ X0 @ X1) = ('#sk2' @ X0 @ X1))), 0.61/0.90 inference('demod', [status(thm)], 0.61/0.90 [zip_derived_cl253, zip_derived_cl111, zip_derived_cl15])). 0.61/0.90 thf(zip_derived_cl36, plain, 0.61/0.90 (~ (((!!) @ (^[Y0 : subst]: 0.61/0.90 (((!!) @ (^[Y1 : term]: 0.61/0.90 ((('#sk1' @ Y0 @ Y1) = ('#sk2' @ Y0 @ Y1)))))))))), 0.61/0.90 inference('lazy_cnf_imply', [status(thm)], [zip_derived_cl32])). 0.61/0.90 thf(zip_derived_cl40, plain, 0.61/0.90 (~ (((!!) @ (^[Y0 : term]: 0.61/0.90 ((('#sk1' @ '#sk3' @ Y0) = ('#sk2' @ '#sk3' @ Y0))))))), 0.61/0.90 inference('lazy_cnf_exists', [status(thm)], [zip_derived_cl36])). 0.61/0.90 thf(zip_derived_cl42, plain, 0.61/0.90 (~ ((('#sk1' @ '#sk3' @ '#sk4') = ('#sk2' @ '#sk3' @ '#sk4')))), 0.61/0.90 inference('lazy_cnf_exists', [status(thm)], [zip_derived_cl40])). 0.61/0.90 thf(zip_derived_cl44, plain, 0.61/0.90 ((('#sk1' @ '#sk3' @ '#sk4') != ('#sk2' @ '#sk3' @ '#sk4'))), 0.61/0.90 inference('simplify nested equalities', [status(thm)], [zip_derived_cl42])). 0.61/0.90 thf(zip_derived_cl275, plain, 0.61/0.90 ((('#sk2' @ '#sk3' @ '#sk4') != ('#sk2' @ '#sk3' @ '#sk4'))), 0.61/0.90 inference('sup-', [status(thm)], [zip_derived_cl271, zip_derived_cl44])). 0.61/0.90 thf(zip_derived_cl291, plain, ($false), 0.61/0.90 inference('simplify', [status(thm)], [zip_derived_cl275])). 0.61/0.90 0.61/0.90 % SZS output end Refutation 0.61/0.90 0.61/0.90 0.61/0.90 % Terminating... 0.65/0.99 % Runner terminated. 0.65/1.00 % Zipperpin 1.5 exiting 0.65/1.00 EOF