%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : COL093-1 : TPTP v9.2.0. Released v2.7.0.
% Transfm : none
% Format : tptp:raw
% Command : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.z4WYY26nCP true
% Computer : n028.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Thu Oct 2 04:30:23 PM UTC 2025
% Result : Unsatisfiable 0.38s 0.96s
% Output : Refutation 0.38s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.08/0.14 % Problem : COL093-1 : TPTP v9.2.0. Released v2.7.0.
% 0.08/0.15 % Command : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.z4WYY26nCP true
% 0.15/0.37 % Computer : n028.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 : 300
% 0.15/0.37 % WCLimit : 300
% 0.15/0.37 % DateTime : Wed Oct 1 11:00:38 EDT 2025
% 0.15/0.37 % CPUTime :
% 0.15/0.37 % Running portfolio for 300 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 FO mode
% 0.35/0.68 % Total configuration time : 435
% 0.35/0.68 % Estimated wc time : 1092
% 0.35/0.68 % Estimated cpu time (7 cpus) : 156.0
% 0.38/0.75 % /export/starexec/sandbox/solver/bin/fo/fo6_bce.sh running for 75s
% 0.38/0.77 % /export/starexec/sandbox/solver/bin/fo/fo3_bce.sh running for 75s
% 0.38/0.79 % /export/starexec/sandbox/solver/bin/fo/fo1_av.sh running for 75s
% 0.38/0.80 % /export/starexec/sandbox/solver/bin/fo/fo13.sh running for 50s
% 0.38/0.80 % /export/starexec/sandbox/solver/bin/fo/fo7.sh running for 63s
% 0.38/0.80 % /export/starexec/sandbox/solver/bin/fo/fo5.sh running for 50s
% 0.38/0.80 % /export/starexec/sandbox/solver/bin/fo/fo4.sh running for 50s
% 0.38/0.83 % /export/starexec/sandbox/solver/bin/fo/fo1_lcnf.sh running for 50s
% 0.38/0.96 % Solved by fo/fo1_lcnf.sh.
% 0.38/0.96 % done 124 iterations in 0.113s
% 0.38/0.96 % SZS status Theorem for '/export/starexec/sandbox/benchmark/theBenchmark.p'
% 0.38/0.96 % SZS output start Refutation
% 0.38/0.96 thf(ap_parcontractE_sk2q_type, type, ap_parcontractE_sk2q: $i > $i > $i > $i).
% 0.38/0.96 thf(parcontract_type, type, parcontract: $i).
% 0.38/0.96 thf(ap_parcontractE_c2_type, type, ap_parcontractE_c2: $i > $i > $i > $o).
% 0.38/0.96 thf(ap_parcontractE_c1_type, type, ap_parcontractE_c1: $i > $i > $i > $o).
% 0.38/0.96 thf(p_type, type, p: $i).
% 0.38/0.96 thf(ap_parcontractE_sk2s_type, type, ap_parcontractE_sk2s: $i > $i > $i > $i).
% 0.38/0.96 thf(comb_app_type, type, comb_app: $i > $i > $i).
% 0.38/0.96 thf(ap_parcontractE_sk1p_type, type, ap_parcontractE_sk1p: $i > $i > $i > $i).
% 0.38/0.96 thf(combS_type, type, combS: $i).
% 0.38/0.96 thf(comb_type, type, comb: $i).
% 0.38/0.96 thf(ap_parcontractE_sk1q_type, type, ap_parcontractE_sk1q: $i > $i > $i > $i).
% 0.38/0.96 thf(member_type, type, member: $i > $i > $o).
% 0.38/0.96 thf(pair_type, type, pair: $i > $i > $i).
% 0.38/0.96 thf(combK_type, type, combK: $i).
% 0.38/0.96 thf(r_type, type, r: $i).
% 0.38/0.96 thf(ap_parcontractE_c3_type, type, ap_parcontractE_c3: $i > $i > $i > $o).
% 0.38/0.96 thf(ap_parcontractE_c4_type, type, ap_parcontractE_c4: $i > $i > $i > $o).
% 0.38/0.96 thf(s1_parcontractD_h1, axiom,
% 0.38/0.96 (member @ ( pair @ ( comb_app @ combS @ p ) @ r ) @ parcontract)).
% 0.38/0.96 thf(zip_derived_cl53, plain,
% 0.38/0.96 ( (member @ (pair @ (comb_app @ combS @ p) @ r) @ parcontract)),
% 0.38/0.96 inference('cnf', [status(esa)], [s1_parcontractD_h1])).
% 0.38/0.96 thf(ap_parcontractE1, axiom,
% 0.38/0.96 (( ~( member @ ( pair @ ( comb_app @ P @ Q ) @ R ) @ parcontract ) ) |
% 0.38/0.96 ( ap_parcontractE_c1 @ P @ Q @ R ) | ( ap_parcontractE_c2 @ P @ Q @ R ) |
% 0.38/0.96 ( ap_parcontractE_c3 @ P @ Q @ R ) | ( ap_parcontractE_c4 @ P @ Q @ R ))).
% 0.38/0.96 thf(zip_derived_cl39, plain,
% 0.38/0.96 (![X0 : $i, X1 : $i, X2 : $i]:
% 0.38/0.96 (((((~) @ (member @ (pair @ (comb_app @ X0 @ X1) @ X2) @ parcontract))) |
% 0.38/0.96 (ap_parcontractE_c1 @ X0 @ X1 @ X2) |
% 0.38/0.96 (ap_parcontractE_c2 @ X0 @ X1 @ X2) |
% 0.38/0.96 (ap_parcontractE_c3 @ X0 @ X1 @ X2) |
% 0.38/0.96 (ap_parcontractE_c4 @ X0 @ X1 @ X2)))),
% 0.38/0.96 inference('cnf', [status(esa)], [ap_parcontractE1])).
% 0.38/0.96 thf(zip_derived_cl252, plain,
% 0.38/0.96 (![X0 : $i, X1 : $i, X2 : $i]:
% 0.38/0.96 (~ (member @ (pair @ (comb_app @ X0 @ X1) @ X2) @ parcontract)
% 0.38/0.96 | (ap_parcontractE_c1 @ X0 @ X1 @ X2)
% 0.38/0.96 | (ap_parcontractE_c2 @ X0 @ X1 @ X2)
% 0.38/0.96 | (ap_parcontractE_c3 @ X0 @ X1 @ X2)
% 0.38/0.96 | (ap_parcontractE_c4 @ X0 @ X1 @ X2))),
% 0.38/0.96 inference('lazy_cnf_or', [status(thm)], [zip_derived_cl39])).
% 0.38/0.96 thf(zip_derived_cl258, plain,
% 0.38/0.96 (( (ap_parcontractE_c1 @ combS @ p @ r)
% 0.38/0.96 | (ap_parcontractE_c2 @ combS @ p @ r)
% 0.38/0.96 | (ap_parcontractE_c3 @ combS @ p @ r)
% 0.38/0.96 | (ap_parcontractE_c4 @ combS @ p @ r))),
% 0.38/0.96 inference('s_sup-', [status(thm)], [zip_derived_cl53, zip_derived_cl252])).
% 0.38/0.96 thf(ap_parcontractE3, axiom,
% 0.38/0.96 (( ~( ap_parcontractE_c1 @ P @ Q @ R ) ) | ( ( R ) = ( comb_app @ P @ Q ) ))).
% 0.38/0.96 thf(zip_derived_cl41, plain,
% 0.38/0.96 (![X0 : $i, X1 : $i, X2 : $i]:
% 0.38/0.96 (((((~) @ (ap_parcontractE_c1 @ X0 @ X1 @ X2))) |
% 0.38/0.96 (((X2) = (comb_app @ X0 @ X1)))))),
% 0.38/0.96 inference('cnf', [status(esa)], [ap_parcontractE3])).
% 0.38/0.96 thf(zip_derived_cl92, plain,
% 0.38/0.96 (![X0 : $i, X1 : $i, X2 : $i]:
% 0.38/0.96 (~ (ap_parcontractE_c1 @ X0 @ X1 @ X2)
% 0.38/0.96 | (((X2) = (comb_app @ X0 @ X1))))),
% 0.38/0.96 inference('lazy_cnf_or', [status(thm)], [zip_derived_cl41])).
% 0.38/0.96 thf(zip_derived_cl93, plain,
% 0.38/0.96 (![X0 : $i, X1 : $i, X2 : $i]:
% 0.38/0.96 (~ (ap_parcontractE_c1 @ X0 @ X1 @ X2) | ((X2) = (comb_app @ X0 @ X1)))),
% 0.38/0.96 inference('simplify nested equalities', [status(thm)], [zip_derived_cl92])).
% 0.38/0.96 thf(zip_derived_cl291, plain,
% 0.38/0.96 (( (ap_parcontractE_c4 @ combS @ p @ r)
% 0.38/0.96 | (ap_parcontractE_c3 @ combS @ p @ r)
% 0.38/0.96 | (ap_parcontractE_c2 @ combS @ p @ r)
% 0.38/0.96 | ((r) = (comb_app @ combS @ p)))),
% 0.38/0.96 inference('s_sup-', [status(thm)], [zip_derived_cl258, zip_derived_cl93])).
% 0.38/0.96 thf(zip_derived_cl258, plain,
% 0.38/0.96 (( (ap_parcontractE_c1 @ combS @ p @ r)
% 0.38/0.96 | (ap_parcontractE_c2 @ combS @ p @ r)
% 0.38/0.96 | (ap_parcontractE_c3 @ combS @ p @ r)
% 0.38/0.96 | (ap_parcontractE_c4 @ combS @ p @ r))),
% 0.38/0.96 inference('s_sup-', [status(thm)], [zip_derived_cl53, zip_derived_cl252])).
% 0.38/0.96 thf(ap_parcontractE2, axiom,
% 0.38/0.96 (( ~( ap_parcontractE_c1 @ P @ Q @ R ) ) |
% 0.38/0.96 ( member @ ( comb_app @ P @ Q ) @ comb ))).
% 0.38/0.96 thf(zip_derived_cl40, plain,
% 0.38/0.96 (![X0 : $i, X1 : $i, X2 : $i]:
% 0.38/0.96 (((((~) @ (ap_parcontractE_c1 @ X0 @ X1 @ X2))) | (member @
% 0.38/0.96 (comb_app @ X0 @ X1) @ comb)))),
% 0.38/0.96 inference('cnf', [status(esa)], [ap_parcontractE2])).
% 0.38/0.96 thf(zip_derived_cl98, plain,
% 0.38/0.96 (![X0 : $i, X1 : $i, X2 : $i]:
% 0.38/0.96 (~ (ap_parcontractE_c1 @ X0 @ X1 @ X2)
% 0.38/0.96 | (member @ (comb_app @ X0 @ X1) @ comb))),
% 0.38/0.96 inference('lazy_cnf_or', [status(thm)], [zip_derived_cl40])).
% 0.38/0.96 thf(zip_derived_cl292, plain,
% 0.38/0.96 (( (ap_parcontractE_c4 @ combS @ p @ r)
% 0.38/0.96 | (ap_parcontractE_c3 @ combS @ p @ r)
% 0.38/0.96 | (ap_parcontractE_c2 @ combS @ p @ r)
% 0.38/0.96 | (member @ (comb_app @ combS @ p) @ comb))),
% 0.38/0.96 inference('s_sup-', [status(thm)], [zip_derived_cl258, zip_derived_cl98])).
% 0.38/0.96 thf(ap_E2, axiom,
% 0.38/0.96 (( ~( member @ ( comb_app @ P @ Q ) @ comb ) ) | ( member @ Q @ comb ))).
% 0.38/0.96 thf(zip_derived_cl7, plain,
% 0.38/0.96 (![X0 : $i, X1 : $i]:
% 0.38/0.96 (((((~) @ (member @ (comb_app @ X0 @ X1) @ comb))) | (member @ X1 @
% 0.38/0.96 comb)))),
% 0.38/0.96 inference('cnf', [status(esa)], [ap_E2])).
% 0.38/0.96 thf(zip_derived_cl80, plain,
% 0.38/0.96 (![X0 : $i, X1 : $i]:
% 0.38/0.96 (~ (member @ (comb_app @ X0 @ X1) @ comb) | (member @ X1 @ comb))),
% 0.38/0.96 inference('lazy_cnf_or', [status(thm)], [zip_derived_cl7])).
% 0.38/0.96 thf(zip_derived_cl360, plain,
% 0.38/0.96 (( (ap_parcontractE_c2 @ combS @ p @ r)
% 0.38/0.96 | (ap_parcontractE_c3 @ combS @ p @ r)
% 0.38/0.96 | (ap_parcontractE_c4 @ combS @ p @ r)
% 0.38/0.96 | (member @ p @ comb))),
% 0.38/0.96 inference('s_sup-', [status(thm)], [zip_derived_cl292, zip_derived_cl80])).
% 0.38/0.96 thf(ap_parcontractE5, axiom,
% 0.38/0.96 (( ~( ap_parcontractE_c2 @ P @ Q @ R ) ) | ( member @ Q @ comb ))).
% 0.38/0.96 thf(zip_derived_cl43, plain,
% 0.38/0.96 (![X0 : $i, X1 : $i, X2 : $i]:
% 0.38/0.96 (((((~) @ (ap_parcontractE_c2 @ X0 @ X1 @ X2))) | (member @ X1 @
% 0.38/0.96 comb)))),
% 0.38/0.96 inference('cnf', [status(esa)], [ap_parcontractE5])).
% 0.38/0.96 thf(zip_derived_cl87, plain,
% 0.38/0.96 (![X0 : $i, X1 : $i, X2 : $i]:
% 0.38/0.96 (~ (ap_parcontractE_c2 @ X0 @ X1 @ X2) | (member @ X1 @ comb))),
% 0.38/0.96 inference('lazy_cnf_or', [status(thm)], [zip_derived_cl43])).
% 0.38/0.96 thf(zip_derived_cl366, plain,
% 0.38/0.96 (( (member @ p @ comb)
% 0.38/0.96 | (ap_parcontractE_c4 @ combS @ p @ r)
% 0.38/0.96 | (ap_parcontractE_c3 @ combS @ p @ r))),
% 0.38/0.96 inference('clc', [status(thm)], [zip_derived_cl360, zip_derived_cl87])).
% 0.38/0.96 thf(ap_parcontractE9, axiom,
% 0.38/0.96 (( ~( ap_parcontractE_c3 @ P @ Q @ R ) ) | ( member @ Q @ comb ))).
% 0.38/0.96 thf(zip_derived_cl47, plain,
% 0.38/0.96 (![X0 : $i, X1 : $i, X2 : $i]:
% 0.38/0.96 (((((~) @ (ap_parcontractE_c3 @ X0 @ X1 @ X2))) | (member @ X1 @
% 0.38/0.96 comb)))),
% 0.38/0.96 inference('cnf', [status(esa)], [ap_parcontractE9])).
% 0.38/0.96 thf(zip_derived_cl88, plain,
% 0.38/0.96 (![X0 : $i, X1 : $i, X2 : $i]:
% 0.38/0.96 (~ (ap_parcontractE_c3 @ X0 @ X1 @ X2) | (member @ X1 @ comb))),
% 0.38/0.96 inference('lazy_cnf_or', [status(thm)], [zip_derived_cl47])).
% 0.38/0.96 thf(zip_derived_cl367, plain,
% 0.38/0.96 (( (ap_parcontractE_c4 @ combS @ p @ r) | (member @ p @ comb))),
% 0.38/0.96 inference('clc', [status(thm)], [zip_derived_cl366, zip_derived_cl88])).
% 0.38/0.96 thf(parcontract_intros1, axiom,
% 0.38/0.96 (( ~( member @ P @ comb ) ) | ( member @ ( pair @ P @ P ) @ parcontract ))).
% 0.38/0.96 thf(zip_derived_cl31, plain,
% 0.38/0.96 (![X0 : $i]:
% 0.38/0.96 (((((~) @ (member @ X0 @ comb))) | (member @ (pair @ X0 @ X0) @
% 0.38/0.96 parcontract)))),
% 0.38/0.96 inference('cnf', [status(esa)], [parcontract_intros1])).
% 0.38/0.96 thf(zip_derived_cl66, plain,
% 0.38/0.96 (![X0 : $i]:
% 0.38/0.96 (~ (member @ X0 @ comb) | (member @ (pair @ X0 @ X0) @ parcontract))),
% 0.38/0.96 inference('lazy_cnf_or', [status(thm)], [zip_derived_cl31])).
% 0.38/0.96 thf(s1_parcontractD_c1, conjecture,
% 0.38/0.96 (~( ( ( r ) != ( comb_app @ combS @ PP ) ) |
% 0.38/0.96 ( ~( member @ ( pair @ p @ PP ) @ parcontract ) ) ))).
% 0.38/0.96 thf(zf_stmt_0, negated_conjecture,
% 0.38/0.96 (( ( r ) != ( comb_app @ combS @ PP ) ) |
% 0.38/0.96 ( ~( member @ ( pair @ p @ PP ) @ parcontract ) )),
% 0.38/0.96 inference('cnf.neg', [status(esa)], [s1_parcontractD_c1])).
% 0.38/0.96 thf(zip_derived_cl54, plain,
% 0.38/0.96 (![X0 : $i]:
% 0.38/0.96 (((((r) != (comb_app @ combS @ X0))) |
% 0.38/0.96 (((~) @ (member @ (pair @ p @ X0) @ parcontract)))))),
% 0.38/0.96 inference('cnf', [status(esa)], [zf_stmt_0])).
% 0.38/0.96 thf(zip_derived_cl64, plain,
% 0.38/0.96 (![X0 : $i]:
% 0.38/0.96 ( (((r) != (comb_app @ combS @ X0)))
% 0.38/0.96 | ~ (member @ (pair @ p @ X0) @ parcontract))),
% 0.38/0.96 inference('lazy_cnf_or', [status(thm)], [zip_derived_cl54])).
% 0.38/0.96 thf(zip_derived_cl65, plain,
% 0.38/0.96 (![X0 : $i]:
% 0.38/0.96 (((r) != (comb_app @ combS @ X0))
% 0.38/0.96 | ~ (member @ (pair @ p @ X0) @ parcontract))),
% 0.38/0.96 inference('simplify nested equalities', [status(thm)], [zip_derived_cl64])).
% 0.38/0.96 thf(zip_derived_cl68, plain,
% 0.38/0.96 ((~ (member @ p @ comb) | ((r) != (comb_app @ combS @ p)))),
% 0.38/0.96 inference('s_sup-', [status(thm)], [zip_derived_cl66, zip_derived_cl65])).
% 0.38/0.96 thf(zip_derived_cl368, plain,
% 0.38/0.96 (( (ap_parcontractE_c4 @ combS @ p @ r) | ((r) != (comb_app @ combS @ p)))),
% 0.38/0.96 inference('s_sup-', [status(thm)], [zip_derived_cl367, zip_derived_cl68])).
% 0.38/0.96 thf(zip_derived_cl369, plain,
% 0.38/0.96 (( (ap_parcontractE_c2 @ combS @ p @ r)
% 0.38/0.96 | (ap_parcontractE_c3 @ combS @ p @ r)
% 0.38/0.96 | (ap_parcontractE_c4 @ combS @ p @ r)
% 0.38/0.96 | (ap_parcontractE_c4 @ combS @ p @ r)
% 0.38/0.96 | ((r) != (r)))),
% 0.38/0.96 inference('s_sup-', [status(thm)], [zip_derived_cl291, zip_derived_cl368])).
% 0.38/0.96 thf(zip_derived_cl370, plain,
% 0.38/0.96 (( (ap_parcontractE_c4 @ combS @ p @ r)
% 0.38/0.96 | (ap_parcontractE_c3 @ combS @ p @ r)
% 0.38/0.96 | (ap_parcontractE_c2 @ combS @ p @ r))),
% 0.38/0.96 inference('simplify', [status(thm)], [zip_derived_cl369])).
% 0.38/0.96 thf(ap_parcontractE6, axiom,
% 0.38/0.96 (( ~( ap_parcontractE_c2 @ P @ Q @ R ) ) |
% 0.38/0.96 ( ( P ) = ( comb_app @ combK @ R ) ))).
% 0.38/0.96 thf(zip_derived_cl44, plain,
% 0.38/0.96 (![X0 : $i, X1 : $i, X2 : $i]:
% 0.38/0.96 (((((~) @ (ap_parcontractE_c2 @ X0 @ X1 @ X2))) |
% 0.38/0.96 (((X0) = (comb_app @ combK @ X2)))))),
% 0.38/0.96 inference('cnf', [status(esa)], [ap_parcontractE6])).
% 0.38/0.96 thf(zip_derived_cl96, plain,
% 0.38/0.96 (![X0 : $i, X1 : $i, X2 : $i]:
% 0.38/0.96 (~ (ap_parcontractE_c2 @ X0 @ X1 @ X2)
% 0.38/0.96 | (((X0) = (comb_app @ combK @ X2))))),
% 0.38/0.96 inference('lazy_cnf_or', [status(thm)], [zip_derived_cl44])).
% 0.38/0.96 thf(zip_derived_cl97, plain,
% 0.38/0.96 (![X0 : $i, X1 : $i, X2 : $i]:
% 0.38/0.96 (~ (ap_parcontractE_c2 @ X0 @ X1 @ X2)
% 0.38/0.96 | ((X0) = (comb_app @ combK @ X2)))),
% 0.38/0.96 inference('simplify nested equalities', [status(thm)], [zip_derived_cl96])).
% 0.38/0.96 thf(zip_derived_cl373, plain,
% 0.38/0.96 (( (ap_parcontractE_c3 @ combS @ p @ r)
% 0.38/0.96 | (ap_parcontractE_c4 @ combS @ p @ r)
% 0.38/0.96 | ((combS) = (comb_app @ combK @ r)))),
% 0.38/0.96 inference('s_sup-', [status(thm)], [zip_derived_cl370, zip_derived_cl97])).
% 0.38/0.96 thf(s_app, axiom, (( combS ) != ( comb_app @ P @ Q ))).
% 0.38/0.96 thf(zip_derived_cl2, plain,
% 0.38/0.96 (![X0 : $i, X1 : $i]: ((combS) != (comb_app @ X0 @ X1))),
% 0.38/0.96 inference('cnf', [status(esa)], [s_app])).
% 0.38/0.96 thf(zip_derived_cl374, plain,
% 0.38/0.96 (( (ap_parcontractE_c3 @ combS @ p @ r)
% 0.38/0.96 | (ap_parcontractE_c4 @ combS @ p @ r))),
% 0.38/0.96 inference('simplify_reflect-', [status(thm)],
% 0.38/0.96 [zip_derived_cl373, zip_derived_cl2])).
% 0.38/0.96 thf(ap_parcontractE11, axiom,
% 0.38/0.96 (( ~( ap_parcontractE_c3 @ P @ Q @ R ) ) |
% 0.38/0.96 ( ( P ) =
% 0.38/0.96 ( comb_app @
% 0.38/0.96 ( comb_app @ combS @ ( ap_parcontractE_sk1p @ P @ Q @ R ) ) @
% 0.38/0.96 ( ap_parcontractE_sk1q @ P @ Q @ R ) ) ))).
% 0.38/0.96 thf(zip_derived_cl49, plain,
% 0.38/0.96 (![X0 : $i, X1 : $i, X2 : $i]:
% 0.38/0.96 (((((~) @ (ap_parcontractE_c3 @ X0 @ X1 @ X2))) |
% 0.38/0.96 (((X0) = (comb_app @
% 0.38/0.96 (comb_app @ combS @ (ap_parcontractE_sk1p @ X0 @ X1 @ X2)) @
% 0.38/0.96 (ap_parcontractE_sk1q @ X0 @ X1 @ X2))))))),
% 0.38/0.96 inference('cnf', [status(esa)], [ap_parcontractE11])).
% 0.38/0.96 thf(zip_derived_cl192, plain,
% 0.38/0.96 (![X0 : $i, X1 : $i, X2 : $i]:
% 0.38/0.96 (~ (ap_parcontractE_c3 @ X0 @ X1 @ X2)
% 0.38/0.96 | (((X0) = (comb_app @
% 0.38/0.96 (comb_app @ combS @ (ap_parcontractE_sk1p @ X0 @ X1 @ X2)) @
% 0.38/0.96 (ap_parcontractE_sk1q @ X0 @ X1 @ X2)))))),
% 0.38/0.96 inference('lazy_cnf_or', [status(thm)], [zip_derived_cl49])).
% 0.38/0.96 thf(zip_derived_cl193, plain,
% 0.38/0.96 (![X0 : $i, X1 : $i, X2 : $i]:
% 0.38/0.96 (~ (ap_parcontractE_c3 @ X0 @ X1 @ X2)
% 0.38/0.96 | ((X0)
% 0.38/0.96 = (comb_app @
% 0.38/0.96 (comb_app @ combS @ (ap_parcontractE_sk1p @ X0 @ X1 @ X2)) @
% 0.38/0.96 (ap_parcontractE_sk1q @ X0 @ X1 @ X2))))),
% 0.38/0.96 inference('simplify nested equalities', [status(thm)],
% 0.38/0.96 [zip_derived_cl192])).
% 0.38/0.96 thf(zip_derived_cl2, plain,
% 0.38/0.96 (![X0 : $i, X1 : $i]: ((combS) != (comb_app @ X0 @ X1))),
% 0.38/0.96 inference('cnf', [status(esa)], [s_app])).
% 0.38/0.96 thf(zip_derived_cl195, plain,
% 0.38/0.96 (![X0 : $i, X1 : $i, X2 : $i]:
% 0.38/0.96 (~ (ap_parcontractE_c3 @ X0 @ X2 @ X1) | ((combS) != (X0)))),
% 0.38/0.96 inference('s_sup-', [status(thm)], [zip_derived_cl193, zip_derived_cl2])).
% 0.38/0.96 thf(zip_derived_cl379, plain,
% 0.38/0.96 (( (ap_parcontractE_c4 @ combS @ p @ r) | ((combS) != (combS)))),
% 0.38/0.96 inference('s_sup-', [status(thm)], [zip_derived_cl374, zip_derived_cl195])).
% 0.38/0.96 thf(zip_derived_cl381, plain, ( (ap_parcontractE_c4 @ combS @ p @ r)),
% 0.38/0.96 inference('simplify', [status(thm)], [zip_derived_cl379])).
% 0.38/0.96 thf(ap_parcontractE12, axiom,
% 0.38/0.96 (( ~( ap_parcontractE_c4 @ P @ Q @ R ) ) |
% 0.38/0.96 ( member @
% 0.38/0.96 ( pair @ P @ ( ap_parcontractE_sk2q @ P @ Q @ R ) ) @ parcontract ))).
% 0.38/0.96 thf(zip_derived_cl50, plain,
% 0.38/0.96 (![X0 : $i, X1 : $i, X2 : $i]:
% 0.38/0.96 (((((~) @ (ap_parcontractE_c4 @ X0 @ X1 @ X2))) | (member @
% 0.38/0.96 (pair @ X0 @ (ap_parcontractE_sk2q @ X0 @ X1 @ X2)) @ parcontract)))),
% 0.38/0.96 inference('cnf', [status(esa)], [ap_parcontractE12])).
% 0.38/0.96 thf(zip_derived_cl107, plain,
% 0.38/0.96 (![X0 : $i, X1 : $i, X2 : $i]:
% 0.38/0.96 (~ (ap_parcontractE_c4 @ X0 @ X1 @ X2)
% 0.38/0.96 | (member @ (pair @ X0 @ (ap_parcontractE_sk2q @ X0 @ X1 @ X2)) @
% 0.38/0.96 parcontract))),
% 0.38/0.96 inference('lazy_cnf_or', [status(thm)], [zip_derived_cl50])).
% 0.38/0.96 thf(s_parcontractE2, axiom,
% 0.38/0.96 (( ~( member @ ( pair @ combS @ R ) @ parcontract ) ) |
% 0.38/0.96 ( ( R ) = ( combS ) ))).
% 0.38/0.96 thf(zip_derived_cl38, plain,
% 0.38/0.96 (![X0 : $i]:
% 0.38/0.96 (((((~) @ (member @ (pair @ combS @ X0) @ parcontract))) |
% 0.38/0.96 (((X0) = (combS)))))),
% 0.38/0.96 inference('cnf', [status(esa)], [s_parcontractE2])).
% 0.38/0.96 thf(zip_derived_cl62, plain,
% 0.38/0.96 (![X0 : $i]:
% 0.38/0.96 (~ (member @ (pair @ combS @ X0) @ parcontract) | (((X0) = (combS))))),
% 0.38/0.96 inference('lazy_cnf_or', [status(thm)], [zip_derived_cl38])).
% 0.38/0.96 thf(zip_derived_cl63, plain,
% 0.38/0.96 (![X0 : $i]:
% 0.38/0.96 (~ (member @ (pair @ combS @ X0) @ parcontract) | ((X0) = (combS)))),
% 0.38/0.96 inference('simplify nested equalities', [status(thm)], [zip_derived_cl62])).
% 0.38/0.96 thf(zip_derived_cl109, plain,
% 0.38/0.96 (![X0 : $i, X1 : $i]:
% 0.38/0.96 (~ (ap_parcontractE_c4 @ combS @ X1 @ X0)
% 0.38/0.96 | ((ap_parcontractE_sk2q @ combS @ X1 @ X0) = (combS)))),
% 0.38/0.96 inference('s_sup-', [status(thm)], [zip_derived_cl107, zip_derived_cl63])).
% 0.38/0.96 thf(zip_derived_cl386, plain,
% 0.38/0.96 (((ap_parcontractE_sk2q @ combS @ p @ r) = (combS))),
% 0.38/0.96 inference('s_sup-', [status(thm)], [zip_derived_cl381, zip_derived_cl109])).
% 0.38/0.96 thf(ap_parcontractE14, axiom,
% 0.38/0.96 (( ~( ap_parcontractE_c4 @ P @ Q @ R ) ) |
% 0.38/0.96 ( ( R ) =
% 0.38/0.96 ( comb_app @
% 0.38/0.96 ( ap_parcontractE_sk2q @ P @ Q @ R ) @
% 0.38/0.96 ( ap_parcontractE_sk2s @ P @ Q @ R ) ) ))).
% 0.38/0.96 thf(zip_derived_cl52, plain,
% 0.38/0.96 (![X0 : $i, X1 : $i, X2 : $i]:
% 0.38/0.96 (((((~) @ (ap_parcontractE_c4 @ X0 @ X1 @ X2))) |
% 0.38/0.96 (((X2) = (comb_app @ (ap_parcontractE_sk2q @ X0 @ X1 @ X2) @
% 0.38/0.96 (ap_parcontractE_sk2s @ X0 @ X1 @ X2))))))),
% 0.38/0.96 inference('cnf', [status(esa)], [ap_parcontractE14])).
% 0.38/0.96 thf(zip_derived_cl153, plain,
% 0.38/0.96 (![X0 : $i, X1 : $i, X2 : $i]:
% 0.38/0.96 (~ (ap_parcontractE_c4 @ X0 @ X1 @ X2)
% 0.38/0.96 | (((X2) = (comb_app @ (ap_parcontractE_sk2q @ X0 @ X1 @ X2) @
% 0.38/0.96 (ap_parcontractE_sk2s @ X0 @ X1 @ X2)))))),
% 0.38/0.96 inference('lazy_cnf_or', [status(thm)], [zip_derived_cl52])).
% 0.38/0.96 thf(zip_derived_cl154, plain,
% 0.38/0.96 (![X0 : $i, X1 : $i, X2 : $i]:
% 0.38/0.96 (~ (ap_parcontractE_c4 @ X0 @ X1 @ X2)
% 0.38/0.96 | ((X2)
% 0.38/0.96 = (comb_app @ (ap_parcontractE_sk2q @ X0 @ X1 @ X2) @
% 0.38/0.96 (ap_parcontractE_sk2s @ X0 @ X1 @ X2))))),
% 0.38/0.96 inference('simplify nested equalities', [status(thm)],
% 0.38/0.96 [zip_derived_cl153])).
% 0.38/0.96 thf(zip_derived_cl388, plain,
% 0.38/0.96 ((~ (ap_parcontractE_c4 @ combS @ p @ r)
% 0.38/0.96 | ((r) = (comb_app @ combS @ (ap_parcontractE_sk2s @ combS @ p @ r))))),
% 0.38/0.96 inference('s_sup+', [status(thm)], [zip_derived_cl386, zip_derived_cl154])).
% 0.38/0.96 thf(zip_derived_cl381, plain, ( (ap_parcontractE_c4 @ combS @ p @ r)),
% 0.38/0.96 inference('simplify', [status(thm)], [zip_derived_cl379])).
% 0.38/0.96 thf(zip_derived_cl390, plain,
% 0.38/0.96 (((r) = (comb_app @ combS @ (ap_parcontractE_sk2s @ combS @ p @ r)))),
% 0.38/0.96 inference('demod', [status(thm)], [zip_derived_cl388, zip_derived_cl381])).
% 0.38/0.96 thf(ap_parcontractE13, axiom,
% 0.38/0.96 (( ~( ap_parcontractE_c4 @ P @ Q @ R ) ) |
% 0.38/0.96 ( member @
% 0.38/0.96 ( pair @ Q @ ( ap_parcontractE_sk2s @ P @ Q @ R ) ) @ parcontract ))).
% 0.38/0.96 thf(zip_derived_cl51, plain,
% 0.38/0.96 (![X0 : $i, X1 : $i, X2 : $i]:
% 0.38/0.96 (((((~) @ (ap_parcontractE_c4 @ X0 @ X1 @ X2))) | (member @
% 0.38/0.96 (pair @ X1 @ (ap_parcontractE_sk2s @ X0 @ X1 @ X2)) @ parcontract)))),
% 0.38/0.96 inference('cnf', [status(esa)], [ap_parcontractE13])).
% 0.38/0.96 thf(zip_derived_cl138, plain,
% 0.38/0.96 (![X0 : $i, X1 : $i, X2 : $i]:
% 0.38/0.96 (~ (ap_parcontractE_c4 @ X0 @ X1 @ X2)
% 0.38/0.96 | (member @ (pair @ X1 @ (ap_parcontractE_sk2s @ X0 @ X1 @ X2)) @
% 0.38/0.96 parcontract))),
% 0.38/0.96 inference('lazy_cnf_or', [status(thm)], [zip_derived_cl51])).
% 0.38/0.96 thf(zip_derived_cl65, plain,
% 0.38/0.96 (![X0 : $i]:
% 0.38/0.96 (((r) != (comb_app @ combS @ X0))
% 0.38/0.96 | ~ (member @ (pair @ p @ X0) @ parcontract))),
% 0.38/0.96 inference('simplify nested equalities', [status(thm)], [zip_derived_cl64])).
% 0.38/0.96 thf(zip_derived_cl141, plain,
% 0.38/0.96 (![X0 : $i, X1 : $i]:
% 0.38/0.96 (~ (ap_parcontractE_c4 @ X1 @ p @ X0)
% 0.38/0.96 | ((r) != (comb_app @ combS @ (ap_parcontractE_sk2s @ X1 @ p @ X0))))),
% 0.38/0.96 inference('s_sup-', [status(thm)], [zip_derived_cl138, zip_derived_cl65])).
% 0.38/0.96 thf(zip_derived_cl411, plain,
% 0.38/0.96 ((~ (ap_parcontractE_c4 @ combS @ p @ r) | ((r) != (r)))),
% 0.38/0.96 inference('s_sup-', [status(thm)], [zip_derived_cl390, zip_derived_cl141])).
% 0.38/0.96 thf(zip_derived_cl381, plain, ( (ap_parcontractE_c4 @ combS @ p @ r)),
% 0.38/0.96 inference('simplify', [status(thm)], [zip_derived_cl379])).
% 0.38/0.96 thf(zip_derived_cl419, plain, (((r) != (r))),
% 0.38/0.96 inference('demod', [status(thm)], [zip_derived_cl411, zip_derived_cl381])).
% 0.38/0.96 thf(zip_derived_cl420, plain, ($false),
% 0.38/0.96 inference('simplify', [status(thm)], [zip_derived_cl419])).
% 0.38/0.96
% 0.38/0.96 % SZS output end Refutation
% 0.38/0.96
% 0.38/0.96
% 0.38/0.97 % Terminating...
% 1.38/1.00 % Runner terminated.
% 1.38/1.01 % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------