0.12/0.16 % Problem : theBenchmark.p : TPTP v0.0.0. Released v0.0.0. 0.12/0.18 % Command : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.VHkuc5kdOW true 0.16/0.40 % Computer : n005.cluster.edu 0.16/0.40 % Model : x86_64 x86_64 0.16/0.40 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz 0.16/0.40 % Memory : 8042.1875MB 0.16/0.40 % OS : Linux 3.10.0-693.el7.x86_64 0.16/0.40 % CPULimit : 1200 0.16/0.40 % WCLimit : 120 0.16/0.40 % DateTime : Tue Jul 13 14:00:33 EDT 2021 0.16/0.40 % CPUTime : 0.16/0.40 % Running portfolio for 120 s 0.16/0.40 % File : /export/starexec/sandbox/benchmark/theBenchmark.p 0.16/0.40 % Number of cores: 8 0.16/0.41 % Python version: Python 3.6.8 0.16/0.41 % Running in HO mode 0.64/0.75 % Total configuration time : 828 0.64/0.75 % Estimated wc time : 983 0.64/0.75 % Estimated cpu time (8 cpus) : 122.875 0.66/0.85 % /export/starexec/sandbox/solver/bin/lams/40_c.s.sh running for 47s 0.66/0.86 % /export/starexec/sandbox/solver/bin/lams/35_full_unif4.sh running for 47s 0.66/0.86 % /export/starexec/sandbox/solver/bin/lams/40_c_ic.sh running for 47s 0.66/0.87 % /export/starexec/sandbox/solver/bin/lams/40_noforms.sh running for 53s 0.66/0.87 % /export/starexec/sandbox/solver/bin/lams/15_e_short1.sh running for 18s 0.66/0.88 % /export/starexec/sandbox/solver/bin/lams/40_b.comb.sh running for 41s 0.66/0.89 % /export/starexec/sandbox/solver/bin/lams/20_acsne_simpl.sh running for 24s 0.66/0.89 % /export/starexec/sandbox/solver/bin/lams/30_sp5.sh running for 35s 0.68/1.05 % /export/starexec/sandbox/solver/bin/lams/30_b.l.sh running for 53s 0.68/1.22 % /export/starexec/sandbox/solver/bin/lams/35_full_unif.sh running for 33s 140.65/18.72 % /export/starexec/sandbox/solver/bin/lams/15_old_s4.sh running for 18s 141.52/18.93 % Solved by lams/15_old_s4.sh. 141.52/18.93 % done 140 iterations in 0.175s 141.52/18.93 % SZS status Theorem for '/export/starexec/sandbox/benchmark/theBenchmark.p' 141.52/18.93 % SZS output start Refutation 141.52/18.93 thf(symm_type, type, symm: ($i > $i > $o) > $o). 141.52/18.93 thf(term_type, type, term: ($i > $i > $o) > $o). 141.52/18.93 thf('#sk11_type', type, '#sk11': $i). 141.52/18.93 thf('#sk54_type', type, '#sk54': $i). 141.52/18.93 thf('#sk1_type', type, '#sk1': $i > $i > $o). 141.52/18.93 thf(terminating, axiom,(( term ) = 141.52/18.93 (^[R:( $i > $i > $o )]: 141.52/18.93 ( ![A:( $i > $o )]: 141.52/18.93 ( ( ?[X:$i]: ( A @ X ) ) => 141.52/18.93 ( ?[X:$i]: 141.52/18.93 ( ( ![Y:$i]: ( ( A @ Y ) => ( ~( R @ X @ Y ) ) ) ) & ( A @ X ) ) ) ) )))). 141.52/18.93 thf('0', plain, 141.52/18.93 (( term ) = 141.52/18.93 ( ^[R:( $i > $i > $o )]: 141.52/18.93 ( ![A:( $i > $o )]: 141.52/18.93 ( ( ?[X:$i]: ( A @ X ) ) => 141.52/18.93 ( ?[X:$i]: 141.52/18.93 ( ( ![Y:$i]: ( ( A @ Y ) => ( ~( R @ X @ Y ) ) ) ) & ( A @ X ) ) ) ) ) )), 141.52/18.93 inference('simplify_rw_rule', [status(thm)], [terminating])). 141.52/18.93 thf('1', plain, 141.52/18.93 (( term ) = 141.52/18.93 ( ^[V_1:( $i > $i > $o )]: 141.52/18.93 ( ![X4:( $i > $o )]: 141.52/18.93 ( ( ?[X6:$i]: ( X4 @ X6 ) ) => 141.52/18.93 ( ?[X8:$i]: 141.52/18.93 ( ( ![X10:$i]: ( ( X4 @ X10 ) => ( ~( V_1 @ X8 @ X10 ) ) ) ) & 141.52/18.93 ( X4 @ X8 ) ) ) ) ) )), 141.52/18.93 define([status(thm)])). 141.52/18.93 thf(symmetric, axiom,(( symm ) = 141.52/18.93 (^[R:( $i > $i > $o )]: 141.52/18.93 ( ![X:$i,Y:$i]: ( ( R @ X @ Y ) => ( R @ Y @ X ) ) )))). 141.52/18.93 thf('2', plain, 141.52/18.93 (( symm ) = 141.52/18.93 ( ^[R:( $i > $i > $o )]: 141.52/18.93 ( ![X:$i,Y:$i]: ( ( R @ X @ Y ) => ( R @ Y @ X ) ) ) )), 141.52/18.93 inference('simplify_rw_rule', [status(thm)], [symmetric])). 141.52/18.93 thf('3', plain, 141.52/18.93 (( symm ) = 141.52/18.93 ( ^[V_1:( $i > $i > $o )]: 141.52/18.93 ( ![X4:$i,X6:$i]: ( ( V_1 @ X4 @ X6 ) => ( V_1 @ X6 @ X4 ) ) ) )), 141.52/18.93 define([status(thm)])). 141.52/18.93 thf(symmetric_implies_non_terminating, conjecture, 141.52/18.93 (![R:( $i > $i > $o )]: 141.52/18.93 ( ( ?[X:$i,Y:$i]: ( R @ X @ Y ) ) => ( ( symm @ R ) => ( ~( term @ R ) ) ) ))). 141.52/18.93 thf(zf_stmt_0, conjecture, 141.52/18.93 (![X4:( $i > $i > $o )]: 141.52/18.93 ( ( ?[X6:$i,X8:$i]: ( X4 @ X6 @ X8 ) ) => 141.52/18.93 ( ( ![X10:$i,X12:$i]: ( ( X4 @ X10 @ X12 ) => ( X4 @ X12 @ X10 ) ) ) => 141.52/18.93 ( ~( ![X14:( $i > $o )]: 141.52/18.93 ( ( ?[X16:$i]: ( X14 @ X16 ) ) => 141.52/18.93 ( ?[X18:$i]: 141.52/18.93 ( ( X14 @ X18 ) & 141.52/18.93 ( ![X20:$i]: ( ( X14 @ X20 ) => ( ~( X4 @ X18 @ X20 ) ) ) ) ) ) ) ) ) ) ))). 141.52/18.93 thf(zf_stmt_1, negated_conjecture, 141.52/18.93 (~( ![X4:( $i > $i > $o )]: 141.52/18.93 ( ( ?[X6:$i,X8:$i]: ( X4 @ X6 @ X8 ) ) => 141.52/18.93 ( ( ![X10:$i,X12:$i]: ( ( X4 @ X10 @ X12 ) => ( X4 @ X12 @ X10 ) ) ) => 141.52/18.93 ( ~( ![X14:( $i > $o )]: 141.52/18.93 ( ( ?[X16:$i]: ( X14 @ X16 ) ) => 141.52/18.93 ( ?[X18:$i]: 141.52/18.93 ( ( X14 @ X18 ) & 141.52/18.93 ( ![X20:$i]: 141.52/18.93 ( ( X14 @ X20 ) => ( ~( X4 @ X18 @ X20 ) ) ) ) ) ) ) ) ) ) ) )), 141.52/18.93 inference('cnf.neg', [status(esa)], [zf_stmt_0])). 141.52/18.93 thf(zip_derived_cl0, plain, 141.52/18.93 (~ (((!!) @ (^[Y0 : $i > $i > $o]: 141.52/18.93 (((((??) @ (^[Y1 : $i]: 141.52/18.93 (((??) @ (^[Y2 : $i]: (Y0 @ Y1 @ Y2))))))) => 141.52/18.93 (((((!!) @ (^[Y1 : $i]: 141.52/18.93 (((!!) @ (^[Y2 : $i]: 141.52/18.93 (((Y0 @ Y1 @ Y2) => (Y0 @ 141.52/18.93 Y2 @ Y1))))))))) => 141.52/18.93 (((~) @ (((!!) @ (^[Y1 : $i > $o]: 141.52/18.93 (((((??) @ (^[Y2 : $i]: (Y1 @ Y2)))) => 141.52/18.93 (((??) @ (^[Y2 : $i]: 141.52/18.93 (((Y1 @ Y2) & 141.52/18.93 (((!!) @ ( 141.52/18.93 ^[Y3 : $i]: 141.52/18.93 (((Y1 @ Y3) => 141.52/18.93 (((~) @ ( 141.52/18.93 Y0 @ Y2 @ 141.52/18.93 Y3)))))))))))))))))))))))))))), 141.52/18.93 inference('cnf', [status(esa)], [zf_stmt_1])). 141.52/18.93 thf(zip_derived_cl1, plain, 141.52/18.93 (~ (((((??) @ (^[Y0 : $i]: (((??) @ (^[Y1 : $i]: ('#sk1' @ Y0 @ Y1))))))) => 141.52/18.93 (((((!!) @ (^[Y0 : $i]: 141.52/18.93 (((!!) @ (^[Y1 : $i]: 141.52/18.93 ((('#sk1' @ Y0 @ Y1) => ('#sk1' @ Y1 @ Y0))))))))) => 141.52/18.93 (((~) @ (((!!) @ (^[Y0 : $i > $o]: 141.52/18.93 (((((??) @ (^[Y1 : $i]: (Y0 @ Y1)))) => 141.52/18.93 (((??) @ (^[Y1 : $i]: 141.52/18.93 (((Y0 @ Y1) & 141.52/18.93 (((!!) @ (^[Y2 : $i]: 141.52/18.93 (((Y0 @ Y2) => 141.52/18.93 (((~) @ ( 141.52/18.93 '#sk1' @ Y1 @ 141.52/18.93 Y2))))))))))))))))))))))))), 141.52/18.93 inference('lazy_cnf_exists', [status(thm)], [zip_derived_cl0])). 141.52/18.93 thf(zip_derived_cl3, plain, 141.52/18.93 (~ (((((!!) @ (^[Y0 : $i]: 141.52/18.93 (((!!) @ (^[Y1 : $i]: 141.52/18.93 ((('#sk1' @ Y0 @ Y1) => ('#sk1' @ Y1 @ Y0))))))))) => 141.52/18.93 (((~) @ (((!!) @ (^[Y0 : $i > $o]: 141.52/18.93 (((((??) @ (^[Y1 : $i]: (Y0 @ Y1)))) => 141.52/18.93 (((??) @ (^[Y1 : $i]: 141.52/18.93 (((Y0 @ Y1) & 141.52/18.93 (((!!) @ (^[Y2 : $i]: 141.52/18.93 (((Y0 @ Y2) => 141.52/18.93 (((~) @ ('#sk1' @ 141.52/18.93 Y1 @ Y2))))))))))))))))))))))), 141.52/18.93 inference('lazy_cnf_imply', [status(thm)], [zip_derived_cl1])). 141.52/18.93 thf(zip_derived_cl9, plain, 141.52/18.93 ( (((!!) @ (^[Y0 : $i > $o]: 141.52/18.93 (((((??) @ (^[Y1 : $i]: (Y0 @ Y1)))) => 141.52/18.93 (((??) @ (^[Y1 : $i]: 141.52/18.93 (((Y0 @ Y1) & 141.52/18.93 (((!!) @ (^[Y2 : $i]: 141.52/18.93 (((Y0 @ Y2) => 141.52/18.93 (((~) @ ('#sk1' @ Y1 @ Y2))))))))))))))))))), 141.52/18.93 inference('lazy_cnf_imply', [status(thm)], [zip_derived_cl3])). 141.52/18.93 thf(zip_derived_cl21, plain, 141.52/18.93 (![X2 : $i > $o]: 141.52/18.93 (((((??) @ (^[Y0 : $i]: (X2 @ Y0)))) => 141.52/18.93 (((??) @ (^[Y0 : $i]: 141.52/18.93 (((X2 @ Y0) & 141.52/18.93 (((!!) @ (^[Y1 : $i]: 141.52/18.93 (((X2 @ Y1) => 141.52/18.93 (((~) @ ('#sk1' @ Y0 @ Y1)))))))))))))))), 141.52/18.93 inference('lazy_cnf_forall', [status(thm)], [zip_derived_cl9])). 141.52/18.93 thf(zip_derived_cl24, plain, 141.52/18.93 ( (((((??) @ (^[Y0 : $i]: (((??) @ (^[Y1 : $i]: ('#sk1' @ Y0 @ Y1))))))) => 141.52/18.93 (((??) @ (^[Y0 : $i]: 141.52/18.93 (((((??) @ (^[Y1 : $i]: ('#sk1' @ Y0 @ Y1)))) & 141.52/18.93 (((!!) @ (^[Y1 : $i]: 141.52/18.93 (((((??) @ (^[Y2 : $i]: ('#sk1' @ Y1 @ Y2)))) => 141.52/18.93 (((~) @ ('#sk1' @ Y0 @ Y1)))))))))))))))), 141.52/18.93 inference('triggered_bool_instantiation', [status(thm)], 141.52/18.93 [zip_derived_cl21])). 141.52/18.93 thf(zip_derived_cl95, plain, 141.52/18.93 ((~ (((??) @ (^[Y0 : $i]: (((??) @ (^[Y1 : $i]: ('#sk1' @ Y0 @ Y1))))))) 141.52/18.93 | (((??) @ (^[Y0 : $i]: 141.52/18.93 (((((??) @ (^[Y1 : $i]: ('#sk1' @ Y0 @ Y1)))) & 141.52/18.93 (((!!) @ (^[Y1 : $i]: 141.52/18.93 (((((??) @ (^[Y2 : $i]: ('#sk1' @ Y1 @ Y2)))) => 141.52/18.93 (((~) @ ('#sk1' @ Y0 @ Y1))))))))))))))), 141.52/18.93 inference('lazy_cnf_imply', [status(thm)], [zip_derived_cl24])). 141.52/18.93 thf(zip_derived_cl2, plain, 141.52/18.93 ( (((??) @ (^[Y0 : $i]: (((??) @ (^[Y1 : $i]: ('#sk1' @ Y0 @ Y1)))))))), 141.52/18.93 inference('lazy_cnf_imply', [status(thm)], [zip_derived_cl1])). 141.52/18.93 thf(zip_derived_cl96, plain, 141.52/18.93 ( (((??) @ (^[Y0 : $i]: 141.52/18.93 (((((??) @ (^[Y1 : $i]: ('#sk1' @ Y0 @ Y1)))) & 141.52/18.93 (((!!) @ (^[Y1 : $i]: 141.52/18.93 (((((??) @ (^[Y2 : $i]: ('#sk1' @ Y1 @ Y2)))) => 141.52/18.93 (((~) @ ('#sk1' @ Y0 @ Y1)))))))))))))), 141.52/18.93 inference('clc', [status(thm)], [zip_derived_cl95, zip_derived_cl2])). 141.52/18.93 thf(zip_derived_cl98, plain, 141.52/18.93 ( (((((??) @ (^[Y0 : $i]: ('#sk1' @ '#sk11' @ Y0)))) & 141.52/18.93 (((!!) @ (^[Y0 : $i]: 141.52/18.93 (((((??) @ (^[Y1 : $i]: ('#sk1' @ Y0 @ Y1)))) => 141.52/18.93 (((~) @ ('#sk1' @ '#sk11' @ Y0))))))))))), 141.52/18.93 inference('lazy_cnf_exists', [status(thm)], [zip_derived_cl96])). 141.52/18.93 thf(zip_derived_cl100, plain, 141.52/18.93 ( (((??) @ (^[Y0 : $i]: ('#sk1' @ '#sk11' @ Y0))))), 141.52/18.93 inference('lazy_cnf_and', [status(thm)], [zip_derived_cl98])). 141.52/18.93 thf(zip_derived_cl21, plain, 141.52/18.93 (![X2 : $i > $o]: 141.52/18.93 (((((??) @ (^[Y0 : $i]: (X2 @ Y0)))) => 141.52/18.93 (((??) @ (^[Y0 : $i]: 141.52/18.93 (((X2 @ Y0) & 141.52/18.93 (((!!) @ (^[Y1 : $i]: 141.52/18.93 (((X2 @ Y1) => 141.52/18.93 (((~) @ ('#sk1' @ Y0 @ Y1)))))))))))))))), 141.52/18.93 inference('lazy_cnf_forall', [status(thm)], [zip_derived_cl9])). 141.52/18.93 thf(zip_derived_cl125, plain, 141.52/18.93 ( ((($true) => 141.52/18.93 (((??) @ (^[Y0 : $i]: 141.52/18.93 ((((^[Y1 : $i]: ('#sk1' @ '#sk11' @ Y1)) @ Y0) & 141.52/18.93 (((!!) @ (^[Y1 : $i]: 141.52/18.93 ((((^[Y2 : $i]: ('#sk1' @ '#sk11' @ Y2)) @ 141.52/18.93 Y1) => (((~) @ ('#sk1' @ Y0 @ Y1)))))))))))))))), 141.52/18.93 inference('sup+', [status(thm)], [zip_derived_cl100, zip_derived_cl21])). 141.52/18.93 thf(zip_derived_cl128, plain, 141.52/18.93 ( ((($true) => 141.52/18.93 (((??) @ (^[Y0 : $i]: 141.52/18.93 ((('#sk1' @ '#sk11' @ Y0) & 141.52/18.93 (((!!) @ (^[Y1 : $i]: 141.52/18.93 ((('#sk1' @ '#sk11' @ Y1) => 141.52/18.93 (((~) @ ('#sk1' @ Y0 @ Y1)))))))))))))))), 141.52/18.93 inference('ho_norm', [status(thm)], [zip_derived_cl125])). 141.52/18.93 thf(zip_derived_cl129, plain, 141.52/18.93 ( (((??) @ (^[Y0 : $i]: 141.52/18.93 ((('#sk1' @ '#sk11' @ Y0) & 141.52/18.93 (((!!) @ (^[Y1 : $i]: 141.52/18.93 ((('#sk1' @ '#sk11' @ Y1) => 141.52/18.93 (((~) @ ('#sk1' @ Y0 @ Y1)))))))))))))), 141.52/18.93 inference('simplify boolean subterms', [status(thm)], [zip_derived_cl128])). 141.52/18.93 thf(zip_derived_cl21, plain, 141.52/18.93 (![X2 : $i > $o]: 141.52/18.93 (((((??) @ (^[Y0 : $i]: (X2 @ Y0)))) => 141.52/18.93 (((??) @ (^[Y0 : $i]: 141.52/18.93 (((X2 @ Y0) & 141.52/18.93 (((!!) @ (^[Y1 : $i]: 141.52/18.93 (((X2 @ Y1) => 141.52/18.93 (((~) @ ('#sk1' @ Y0 @ Y1)))))))))))))))), 141.52/18.93 inference('lazy_cnf_forall', [status(thm)], [zip_derived_cl9])). 141.52/18.93 thf(zip_derived_cl162, plain, 141.52/18.93 ( ((($true) => 141.52/18.93 (((??) @ (^[Y0 : $i]: 141.52/18.93 ((((^[Y1 : $i]: 141.52/18.93 ((('#sk1' @ '#sk11' @ Y1) & 141.52/18.93 (((!!) @ (^[Y2 : $i]: 141.52/18.93 ((('#sk1' @ '#sk11' @ Y2) => 141.52/18.93 (((~) @ ('#sk1' @ Y1 @ Y2))))))))))) @ 141.52/18.93 Y0) & 141.52/18.93 (((!!) @ (^[Y1 : $i]: 141.52/18.93 ((((^[Y2 : $i]: 141.52/18.93 ((('#sk1' @ '#sk11' @ Y2) & 141.52/18.93 (((!!) @ (^[Y3 : $i]: 141.52/18.93 ((('#sk1' @ '#sk11' @ 141.52/18.93 Y3) => 141.52/18.93 (((~) @ ('#sk1' @ 141.52/18.93 Y2 @ Y3))))))))))) @ 141.52/18.93 Y1) => (((~) @ ('#sk1' @ Y0 @ Y1)))))))))))))))), 141.52/18.93 inference('sup+', [status(thm)], [zip_derived_cl129, zip_derived_cl21])). 141.52/18.93 thf(zip_derived_cl164, plain, 141.52/18.93 ( ((($true) => 141.52/18.93 (((??) @ (^[Y0 : $i]: 141.52/18.93 ((('#sk1' @ '#sk11' @ Y0) & 141.52/18.93 (((!!) @ (^[Y1 : $i]: 141.52/18.93 ((('#sk1' @ '#sk11' @ Y1) => 141.52/18.93 (((~) @ ('#sk1' @ Y0 @ Y1)))))))) & 141.52/18.93 (((!!) @ (^[Y1 : $i]: 141.52/18.93 ((((('#sk1' @ '#sk11' @ Y1) & 141.52/18.93 (((!!) @ (^[Y2 : $i]: 141.52/18.93 ((('#sk1' @ '#sk11' @ 141.52/18.93 Y2) => 141.52/18.93 (((~) @ ('#sk1' @ Y1 @ Y2)))))))))) => 141.52/18.93 (((~) @ ('#sk1' @ Y0 @ Y1)))))))))))))))), 141.52/18.93 inference('ho_norm', [status(thm)], [zip_derived_cl162])). 141.52/18.93 thf(zip_derived_cl165, plain, 141.52/18.93 ( (((??) @ (^[Y0 : $i]: 141.52/18.93 ((('#sk1' @ '#sk11' @ Y0) & 141.52/18.93 (((!!) @ (^[Y1 : $i]: 141.52/18.93 ((('#sk1' @ '#sk11' @ Y1) => 141.52/18.93 (((~) @ ('#sk1' @ Y0 @ Y1)))))))) & 141.52/18.93 (((!!) @ (^[Y1 : $i]: 141.52/18.93 ((((('#sk1' @ '#sk11' @ Y1) & 141.52/18.93 (((!!) @ (^[Y2 : $i]: 141.52/18.93 ((('#sk1' @ '#sk11' @ Y2) => 141.52/18.93 (((~) @ ('#sk1' @ Y1 @ Y2)))))))))) => 141.52/18.93 (((~) @ ('#sk1' @ Y0 @ Y1)))))))))))))), 141.52/18.93 inference('simplify boolean subterms', [status(thm)], [zip_derived_cl164])). 141.52/18.93 thf(zip_derived_cl21, plain, 141.52/18.93 (![X2 : $i > $o]: 141.52/18.93 (((((??) @ (^[Y0 : $i]: (X2 @ Y0)))) => 141.52/18.93 (((??) @ (^[Y0 : $i]: 141.52/18.93 (((X2 @ Y0) & 141.52/18.93 (((!!) @ (^[Y1 : $i]: 141.52/18.93 (((X2 @ Y1) => 141.52/18.93 (((~) @ ('#sk1' @ Y0 @ Y1)))))))))))))))), 141.52/18.93 inference('lazy_cnf_forall', [status(thm)], [zip_derived_cl9])). 141.52/18.93 thf(zip_derived_cl197, plain, 141.52/18.93 ( ((($true) => 141.52/18.93 (((??) @ (^[Y0 : $i]: 141.52/18.93 ((((^[Y1 : $i]: 141.52/18.93 ((('#sk1' @ '#sk11' @ Y1) & 141.52/18.93 (((!!) @ (^[Y2 : $i]: 141.52/18.93 ((('#sk1' @ '#sk11' @ Y2) => 141.52/18.93 (((~) @ ('#sk1' @ Y1 @ Y2)))))))) & 141.52/18.93 (((!!) @ (^[Y2 : $i]: 141.52/18.93 ((((('#sk1' @ '#sk11' @ Y2) & 141.52/18.93 (((!!) @ (^[Y3 : $i]: 141.52/18.93 ((('#sk1' @ 141.52/18.93 '#sk11' @ Y3) => 141.52/18.93 (((~) @ ('#sk1' @ 141.52/18.93 Y2 @ Y3)))))))))) => 141.52/18.93 (((~) @ ('#sk1' @ Y1 @ Y2))))))))))) @ 141.52/18.93 Y0) & 141.52/18.93 (((!!) @ (^[Y1 : $i]: 141.52/18.93 ((((^[Y2 : $i]: 141.52/18.93 ((('#sk1' @ '#sk11' @ Y2) & 141.52/18.93 (((!!) @ (^[Y3 : $i]: 141.52/18.93 ((('#sk1' @ '#sk11' @ 141.52/18.93 Y3) => 141.52/18.93 (((~) @ ('#sk1' @ 141.52/18.93 Y2 @ Y3)))))))) & 141.52/18.93 (((!!) @ (^[Y3 : $i]: 141.52/18.93 ((((('#sk1' @ 141.52/18.93 '#sk11' @ Y3) & 141.52/18.93 (((!!) @ (^[Y4 : $i]: 141.52/18.93 (( 141.52/18.93 ('#sk1' @ 141.52/18.93 '#sk11' @ 141.52/18.93 Y4) => 141.52/18.93 (( 141.52/18.93 (~) @ ( 141.52/18.93 '#sk1' @ 141.52/18.93 Y3 @ Y4)))))))))) => 141.52/18.93 (((~) @ ('#sk1' @ 141.52/18.93 Y2 @ Y3))))))))))) @ 141.52/18.93 Y1) => (((~) @ ('#sk1' @ Y0 @ Y1)))))))))))))))), 141.52/18.93 inference('sup+', [status(thm)], [zip_derived_cl165, zip_derived_cl21])). 141.52/18.93 thf(zip_derived_cl199, plain, 141.52/18.93 ( ((($true) => 141.52/18.93 (((??) @ (^[Y0 : $i]: 141.52/18.93 ((('#sk1' @ '#sk11' @ Y0) & 141.52/18.93 (((!!) @ (^[Y1 : $i]: 141.52/18.93 ((('#sk1' @ '#sk11' @ Y1) => 141.52/18.93 (((~) @ ('#sk1' @ Y0 @ Y1)))))))) & 141.52/18.93 (((!!) @ (^[Y1 : $i]: 141.52/18.93 ((((('#sk1' @ '#sk11' @ Y1) & 141.52/18.93 (((!!) @ (^[Y2 : $i]: 141.52/18.93 ((('#sk1' @ '#sk11' @ 141.52/18.93 Y2) => 141.52/18.93 (((~) @ ('#sk1' @ Y1 @ Y2)))))))))) => 141.52/18.93 (((~) @ ('#sk1' @ Y0 @ Y1)))))))) & 141.52/18.93 (((!!) @ (^[Y1 : $i]: 141.52/18.93 ((((('#sk1' @ '#sk11' @ Y1) & 141.52/18.93 (((!!) @ (^[Y2 : $i]: 141.52/18.93 ((('#sk1' @ '#sk11' @ 141.52/18.93 Y2) => 141.52/18.93 (((~) @ ('#sk1' @ Y1 @ Y2)))))))) & 141.52/18.93 (((!!) @ (^[Y2 : $i]: 141.52/18.93 ((((('#sk1' @ '#sk11' @ 141.52/18.93 Y2) & 141.52/18.93 (((!!) @ (^[Y3 : $i]: 141.52/18.93 ((('#sk1' @ 141.52/18.93 '#sk11' @ 141.52/18.93 Y3) => 141.52/18.93 (( 141.52/18.93 (~) @ ( 141.52/18.93 '#sk1' @ 141.52/18.93 Y2 @ Y3)))))))))) => 141.52/18.93 (((~) @ ('#sk1' @ Y1 @ Y2)))))))))) => 141.52/18.93 (((~) @ ('#sk1' @ Y0 @ Y1)))))))))))))))), 141.52/18.93 inference('ho_norm', [status(thm)], [zip_derived_cl197])). 141.52/18.93 thf(zip_derived_cl200, plain, 141.52/18.93 ( (((??) @ (^[Y0 : $i]: 141.52/18.93 ((('#sk1' @ '#sk11' @ Y0) & 141.52/18.93 (((!!) @ (^[Y1 : $i]: 141.52/18.93 ((('#sk1' @ '#sk11' @ Y1) => 141.52/18.93 (((~) @ ('#sk1' @ Y0 @ Y1)))))))) & 141.52/18.93 (((!!) @ (^[Y1 : $i]: 141.52/18.93 ((((('#sk1' @ '#sk11' @ Y1) & 141.52/18.93 (((!!) @ (^[Y2 : $i]: 141.52/18.93 ((('#sk1' @ '#sk11' @ Y2) => 141.52/18.93 (((~) @ ('#sk1' @ Y1 @ Y2)))))))))) => 141.52/18.93 (((~) @ ('#sk1' @ Y0 @ Y1)))))))) & 141.52/18.93 (((!!) @ (^[Y1 : $i]: 141.52/18.93 ((((('#sk1' @ '#sk11' @ Y1) & 141.52/18.93 (((!!) @ (^[Y2 : $i]: 141.52/18.93 ((('#sk1' @ '#sk11' @ Y2) => 141.52/18.93 (((~) @ ('#sk1' @ Y1 @ Y2)))))))) & 141.52/18.93 (((!!) @ (^[Y2 : $i]: 141.52/18.93 ((((('#sk1' @ '#sk11' @ Y2) & 141.52/18.93 (((!!) @ (^[Y3 : $i]: 141.52/18.93 ((('#sk1' @ 141.52/18.93 '#sk11' @ 141.52/18.93 Y3) => 141.52/18.93 (((~) @ ( 141.52/18.93 '#sk1' @ 141.52/18.93 Y2 @ Y3)))))))))) => 141.52/18.93 (((~) @ ('#sk1' @ Y1 @ Y2)))))))))) => 141.52/18.93 (((~) @ ('#sk1' @ Y0 @ Y1)))))))))))))), 141.52/18.93 inference('simplify boolean subterms', [status(thm)], [zip_derived_cl199])). 141.52/18.93 thf(zip_derived_cl271, plain, 141.52/18.93 ( ((('#sk1' @ '#sk11' @ '#sk54') & 141.52/18.93 (((!!) @ (^[Y0 : $i]: 141.52/18.93 ((('#sk1' @ '#sk11' @ Y0) => 141.52/18.93 (((~) @ ('#sk1' @ '#sk54' @ Y0)))))))) & 141.52/18.93 (((!!) @ (^[Y0 : $i]: 141.52/18.93 ((((('#sk1' @ '#sk11' @ Y0) & 141.52/18.93 (((!!) @ (^[Y1 : $i]: 141.52/18.93 ((('#sk1' @ '#sk11' @ Y1) => 141.52/18.93 (((~) @ ('#sk1' @ Y0 @ Y1)))))))))) => 141.52/18.93 (((~) @ ('#sk1' @ '#sk54' @ Y0)))))))) & 141.52/18.93 (((!!) @ (^[Y0 : $i]: 141.52/18.93 ((((('#sk1' @ '#sk11' @ Y0) & 141.52/18.93 (((!!) @ (^[Y1 : $i]: 141.52/18.93 ((('#sk1' @ '#sk11' @ Y1) => 141.52/18.93 (((~) @ ('#sk1' @ Y0 @ Y1)))))))) & 141.52/18.93 (((!!) @ (^[Y1 : $i]: 141.52/18.93 ((((('#sk1' @ '#sk11' @ Y1) & 141.52/18.93 (((!!) @ (^[Y2 : $i]: 141.52/18.93 ((('#sk1' @ '#sk11' @ 141.52/18.93 Y2) => 141.52/18.93 (((~) @ ('#sk1' @ Y1 @ 141.52/18.93 Y2)))))))))) => 141.52/18.93 (((~) @ ('#sk1' @ Y0 @ Y1)))))))))) => 141.52/18.93 (((~) @ ('#sk1' @ '#sk54' @ Y0))))))))))), 141.52/18.93 inference('lazy_cnf_exists', [status(thm)], [zip_derived_cl200])). 141.52/18.93 thf(zip_derived_cl300, plain, ( ('#sk1' @ '#sk11' @ '#sk54')), 141.52/18.93 inference('lazy_cnf_and', [status(thm)], [zip_derived_cl271])). 141.52/18.93 thf(zip_derived_cl8, plain, 141.52/18.93 ( (((!!) @ (^[Y0 : $i]: 141.52/18.93 (((!!) @ (^[Y1 : $i]: 141.52/18.93 ((('#sk1' @ Y0 @ Y1) => ('#sk1' @ Y1 @ Y0)))))))))), 141.52/18.93 inference('lazy_cnf_imply', [status(thm)], [zip_derived_cl3])). 141.52/18.93 thf(zip_derived_cl12, plain, 141.52/18.93 (![X2 : $i]: 141.52/18.93 (((!!) @ (^[Y0 : $i]: ((('#sk1' @ X2 @ Y0) => ('#sk1' @ Y0 @ X2))))))), 141.52/18.93 inference('lazy_cnf_forall', [status(thm)], [zip_derived_cl8])). 141.52/18.93 thf(zip_derived_cl33, plain, 141.52/18.93 (![X2 : $i, X4 : $i]: ((('#sk1' @ X2 @ X4) => ('#sk1' @ X4 @ X2)))), 141.52/18.93 inference('lazy_cnf_forall', [status(thm)], [zip_derived_cl12])). 141.52/18.93 thf(zip_derived_cl36, plain, 141.52/18.93 (![X2 : $i, X4 : $i]: (~ ('#sk1' @ X2 @ X4) | ('#sk1' @ X4 @ X2))), 141.52/18.93 inference('lazy_cnf_imply', [status(thm)], [zip_derived_cl33])). 141.52/18.93 thf(zip_derived_cl310, plain, ( ('#sk1' @ '#sk54' @ '#sk11')), 141.52/18.93 inference('sup-', [status(thm)], [zip_derived_cl300, zip_derived_cl36])). 141.52/18.93 thf(zip_derived_cl300, plain, ( ('#sk1' @ '#sk11' @ '#sk54')), 141.52/18.93 inference('lazy_cnf_and', [status(thm)], [zip_derived_cl271])). 141.52/18.93 thf(zip_derived_cl101, plain, 141.52/18.93 ( (((!!) @ (^[Y0 : $i]: 141.52/18.93 (((((??) @ (^[Y1 : $i]: ('#sk1' @ Y0 @ Y1)))) => 141.52/18.93 (((~) @ ('#sk1' @ '#sk11' @ Y0))))))))), 141.52/18.93 inference('lazy_cnf_and', [status(thm)], [zip_derived_cl98])). 141.52/18.93 thf(zip_derived_cl160, plain, 141.52/18.93 (![X2 : $i]: 141.52/18.93 (((((??) @ (^[Y0 : $i]: ('#sk1' @ X2 @ Y0)))) => 141.52/18.93 (((~) @ ('#sk1' @ '#sk11' @ X2)))))), 141.52/18.93 inference('lazy_cnf_forall', [status(thm)], [zip_derived_cl101])). 141.52/18.93 thf(zip_derived_cl330, plain, 141.52/18.93 ( (((((??) @ (^[Y0 : $i]: ('#sk1' @ '#sk54' @ Y0)))) => (((~) @ ($true)))))), 141.52/18.93 inference('sup+', [status(thm)], [zip_derived_cl300, zip_derived_cl160])). 141.52/18.93 thf(zip_derived_cl339, plain, 141.52/18.93 ( (((~) @ (((??) @ (^[Y0 : $i]: ('#sk1' @ '#sk54' @ Y0))))))), 141.52/18.93 inference('simplify boolean subterms', [status(thm)], [zip_derived_cl330])). 141.52/18.93 thf(zip_derived_cl340, plain, 141.52/18.93 (~ (((??) @ (^[Y0 : $i]: ('#sk1' @ '#sk54' @ Y0))))), 141.52/18.93 inference('simplify nested equalities', [status(thm)], 141.52/18.93 [zip_derived_cl339])). 141.52/18.93 thf(zip_derived_cl369, plain, (![X2 : $i]: ~ ('#sk1' @ '#sk54' @ X2)), 141.52/18.93 inference('lazy_cnf_forall', [status(thm)], [zip_derived_cl340])). 141.52/18.93 thf(zip_derived_cl374, plain, ($false), 141.52/18.93 inference('sup-', [status(thm)], [zip_derived_cl310, zip_derived_cl369])). 141.52/18.93 141.52/18.93 % SZS output end Refutation 141.52/18.93 141.52/18.93 141.52/18.93 % Terminating... 142.59/19.03 % Runner terminated. 142.59/19.03 % Zipperpin 1.5 exiting 142.59/19.04 EOF