%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : COL092-1 : TPTP v9.2.0. Released v2.7.0.
% Transfm : none
% Format : tptp:raw
% Command : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.ZG24TbMLb8 true
% Computer : n020.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 0.61s 0.94s
% Output : Refutation 0.61s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.12/0.13 % Problem : COL092-1 : TPTP v9.2.0. Released v2.7.0.
% 0.12/0.14 % Command : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.ZG24TbMLb8 true
% 0.14/0.35 % Computer : n020.cluster.edu
% 0.14/0.35 % Model : x86_64 x86_64
% 0.14/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.35 % Memory : 8042.1875MB
% 0.14/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.35 % CPULimit : 300
% 0.14/0.35 % WCLimit : 300
% 0.14/0.35 % DateTime : Wed Oct 1 10:57:53 EDT 2025
% 0.14/0.36 % CPUTime :
% 0.14/0.36 % Running portfolio for 300 s
% 0.14/0.36 % File : /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.14/0.36 % Number of cores: 8
% 0.14/0.36 % Python version: Python 3.6.8
% 0.14/0.36 % Running in FO mode
% 0.59/0.69 % Total configuration time : 435
% 0.59/0.69 % Estimated wc time : 1092
% 0.59/0.69 % Estimated cpu time (7 cpus) : 156.0
% 0.60/0.73 % /export/starexec/sandbox2/solver/bin/fo/fo6_bce.sh running for 75s
% 0.60/0.74 % /export/starexec/sandbox2/solver/bin/fo/fo3_bce.sh running for 75s
% 0.60/0.74 % /export/starexec/sandbox2/solver/bin/fo/fo1_av.sh running for 75s
% 0.60/0.75 % /export/starexec/sandbox2/solver/bin/fo/fo7.sh running for 63s
% 0.60/0.76 % /export/starexec/sandbox2/solver/bin/fo/fo13.sh running for 50s
% 0.60/0.78 % /export/starexec/sandbox2/solver/bin/fo/fo5.sh running for 50s
% 0.60/0.79 % /export/starexec/sandbox2/solver/bin/fo/fo4.sh running for 50s
% 0.60/0.84 % /export/starexec/sandbox2/solver/bin/fo/fo1_lcnf.sh running for 50s
% 0.61/0.94 % Solved by fo/fo6_bce.sh.
% 0.61/0.94 % BCE start: 55
% 0.61/0.94 % BCE eliminated: 0
% 0.61/0.94 % PE start: 55
% 0.61/0.94 logic: eq
% 0.61/0.94 % PE eliminated: 2
% 0.61/0.94 % done 194 iterations in 0.170s
% 0.61/0.94 % SZS status Theorem for '/export/starexec/sandbox2/benchmark/theBenchmark.p'
% 0.61/0.94 % SZS output start Refutation
% 0.61/0.94 thf(ap_parcontractE_sk2q_type, type, ap_parcontractE_sk2q: $i > $i > $i > $i).
% 0.61/0.94 thf(parcontract_type, type, parcontract: $i).
% 0.61/0.94 thf(ap_parcontractE_c2_type, type, ap_parcontractE_c2: $i > $i > $i > $o).
% 0.61/0.94 thf(ap_parcontractE_c1_type, type, ap_parcontractE_c1: $i > $i > $i > $o).
% 0.61/0.94 thf(p_type, type, p: $i).
% 0.61/0.94 thf(ap_parcontractE_sk2s_type, type, ap_parcontractE_sk2s: $i > $i > $i > $i).
% 0.61/0.94 thf(comb_app_type, type, comb_app: $i > $i > $i).
% 0.61/0.94 thf(ap_parcontractE_sk1p_type, type, ap_parcontractE_sk1p: $i > $i > $i > $i).
% 0.61/0.94 thf(combS_type, type, combS: $i).
% 0.61/0.94 thf(comb_type, type, comb: $i).
% 0.61/0.94 thf(ap_parcontractE_sk1q_type, type, ap_parcontractE_sk1q: $i > $i > $i > $i).
% 0.61/0.94 thf(member_type, type, member: $i > $i > $o).
% 0.61/0.94 thf(pair_type, type, pair: $i > $i > $i).
% 0.61/0.94 thf(combK_type, type, combK: $i).
% 0.61/0.94 thf(r_type, type, r: $i).
% 0.61/0.94 thf(ap_parcontractE_c3_type, type, ap_parcontractE_c3: $i > $i > $i > $o).
% 0.61/0.94 thf(ap_parcontractE_c4_type, type, ap_parcontractE_c4: $i > $i > $i > $o).
% 0.61/0.94 thf(ap_parcontractE1, axiom,
% 0.61/0.94 (( ~( member @ ( pair @ ( comb_app @ P @ Q ) @ R ) @ parcontract ) ) |
% 0.61/0.94 ( ap_parcontractE_c1 @ P @ Q @ R ) | ( ap_parcontractE_c2 @ P @ Q @ R ) |
% 0.61/0.94 ( ap_parcontractE_c3 @ P @ Q @ R ) | ( ap_parcontractE_c4 @ P @ Q @ R ))).
% 0.61/0.94 thf(zip_derived_cl39, plain,
% 0.61/0.94 (![X0 : $i, X1 : $i, X2 : $i]:
% 0.61/0.94 (~ (member @ (pair @ (comb_app @ X0 @ X1) @ X2) @ parcontract)
% 0.61/0.94 | (ap_parcontractE_c1 @ X0 @ X1 @ X2)
% 0.61/0.94 | (ap_parcontractE_c2 @ X0 @ X1 @ X2)
% 0.61/0.94 | (ap_parcontractE_c3 @ X0 @ X1 @ X2)
% 0.61/0.94 | (ap_parcontractE_c4 @ X0 @ X1 @ X2))),
% 0.61/0.94 inference('cnf', [status(esa)], [ap_parcontractE1])).
% 0.61/0.94 thf(ap_parcontractE2, axiom,
% 0.61/0.94 (( ~( ap_parcontractE_c1 @ P @ Q @ R ) ) |
% 0.61/0.94 ( member @ ( comb_app @ P @ Q ) @ comb ))).
% 0.61/0.94 thf(zip_derived_cl40, plain,
% 0.61/0.94 (![X0 : $i, X1 : $i, X2 : $i]:
% 0.61/0.94 (~ (ap_parcontractE_c1 @ X0 @ X1 @ X2)
% 0.61/0.94 | (member @ (comb_app @ X0 @ X1) @ comb))),
% 0.61/0.94 inference('cnf', [status(esa)], [ap_parcontractE2])).
% 0.61/0.94 thf(zip_derived_cl243, plain,
% 0.61/0.94 (![X0 : $i, X1 : $i, X2 : $i]:
% 0.61/0.94 ( (ap_parcontractE_c4 @ X2 @ X1 @ X0)
% 0.61/0.94 | (ap_parcontractE_c3 @ X2 @ X1 @ X0)
% 0.61/0.94 | (ap_parcontractE_c2 @ X2 @ X1 @ X0)
% 0.61/0.94 | ~ (member @ (pair @ (comb_app @ X2 @ X1) @ X0) @ parcontract)
% 0.61/0.94 | (member @ (comb_app @ X2 @ X1) @ comb))),
% 0.61/0.94 inference('dp-resolution', [status(thm)],
% 0.61/0.94 [zip_derived_cl39, zip_derived_cl40])).
% 0.61/0.94 thf(ap_parcontractE13, axiom,
% 0.61/0.94 (( ~( ap_parcontractE_c4 @ P @ Q @ R ) ) |
% 0.61/0.94 ( member @
% 0.61/0.94 ( pair @ Q @ ( ap_parcontractE_sk2s @ P @ Q @ R ) ) @ parcontract ))).
% 0.61/0.94 thf(zip_derived_cl51, plain,
% 0.61/0.94 (![X0 : $i, X1 : $i, X2 : $i]:
% 0.61/0.94 (~ (ap_parcontractE_c4 @ X0 @ X1 @ X2)
% 0.61/0.94 | (member @ (pair @ X1 @ (ap_parcontractE_sk2s @ X0 @ X1 @ X2)) @
% 0.61/0.94 parcontract))),
% 0.61/0.94 inference('cnf', [status(esa)], [ap_parcontractE13])).
% 0.61/0.94 thf(zip_derived_cl39, plain,
% 0.61/0.94 (![X0 : $i, X1 : $i, X2 : $i]:
% 0.61/0.94 (~ (member @ (pair @ (comb_app @ X0 @ X1) @ X2) @ parcontract)
% 0.61/0.94 | (ap_parcontractE_c1 @ X0 @ X1 @ X2)
% 0.61/0.94 | (ap_parcontractE_c2 @ X0 @ X1 @ X2)
% 0.61/0.94 | (ap_parcontractE_c3 @ X0 @ X1 @ X2)
% 0.61/0.94 | (ap_parcontractE_c4 @ X0 @ X1 @ X2))),
% 0.61/0.94 inference('cnf', [status(esa)], [ap_parcontractE1])).
% 0.61/0.94 thf(ap_parcontractE3, axiom,
% 0.61/0.94 (( ~( ap_parcontractE_c1 @ P @ Q @ R ) ) | ( ( R ) = ( comb_app @ P @ Q ) ))).
% 0.61/0.94 thf(zip_derived_cl41, plain,
% 0.61/0.94 (![X0 : $i, X1 : $i, X2 : $i]:
% 0.61/0.94 (~ (ap_parcontractE_c1 @ X0 @ X1 @ X2) | ((X2) = (comb_app @ X0 @ X1)))),
% 0.61/0.94 inference('cnf', [status(esa)], [ap_parcontractE3])).
% 0.61/0.94 thf(zip_derived_cl244, plain,
% 0.61/0.94 (![X0 : $i, X1 : $i, X2 : $i]:
% 0.61/0.94 ( (ap_parcontractE_c4 @ X2 @ X1 @ X0)
% 0.61/0.94 | (ap_parcontractE_c3 @ X2 @ X1 @ X0)
% 0.61/0.94 | (ap_parcontractE_c2 @ X2 @ X1 @ X0)
% 0.61/0.94 | ~ (member @ (pair @ (comb_app @ X2 @ X1) @ X0) @ parcontract)
% 0.61/0.94 | ((X0) = (comb_app @ X2 @ X1)))),
% 0.61/0.94 inference('dp-resolution', [status(thm)],
% 0.61/0.94 [zip_derived_cl39, zip_derived_cl41])).
% 0.61/0.94 thf(zip_derived_cl51, plain,
% 0.61/0.94 (![X0 : $i, X1 : $i, X2 : $i]:
% 0.61/0.94 (~ (ap_parcontractE_c4 @ X0 @ X1 @ X2)
% 0.61/0.94 | (member @ (pair @ X1 @ (ap_parcontractE_sk2s @ X0 @ X1 @ X2)) @
% 0.61/0.94 parcontract))),
% 0.61/0.94 inference('cnf', [status(esa)], [ap_parcontractE13])).
% 0.61/0.94 thf(k1_parcontractD_h1, axiom,
% 0.61/0.94 (member @ ( pair @ ( comb_app @ combK @ p ) @ r ) @ parcontract)).
% 0.61/0.94 thf(zip_derived_cl53, plain,
% 0.61/0.94 ( (member @ (pair @ (comb_app @ combK @ p) @ r) @ parcontract)),
% 0.61/0.94 inference('cnf', [status(esa)], [k1_parcontractD_h1])).
% 0.61/0.94 thf(zip_derived_cl244, plain,
% 0.61/0.94 (![X0 : $i, X1 : $i, X2 : $i]:
% 0.61/0.94 ( (ap_parcontractE_c4 @ X2 @ X1 @ X0)
% 0.61/0.94 | (ap_parcontractE_c3 @ X2 @ X1 @ X0)
% 0.61/0.94 | (ap_parcontractE_c2 @ X2 @ X1 @ X0)
% 0.61/0.94 | ~ (member @ (pair @ (comb_app @ X2 @ X1) @ X0) @ parcontract)
% 0.61/0.94 | ((X0) = (comb_app @ X2 @ X1)))),
% 0.61/0.94 inference('dp-resolution', [status(thm)],
% 0.61/0.94 [zip_derived_cl39, zip_derived_cl41])).
% 0.61/0.94 thf(ap_parcontractE12, axiom,
% 0.61/0.94 (( ~( ap_parcontractE_c4 @ P @ Q @ R ) ) |
% 0.61/0.94 ( member @
% 0.61/0.94 ( pair @ P @ ( ap_parcontractE_sk2q @ P @ Q @ R ) ) @ parcontract ))).
% 0.61/0.94 thf(zip_derived_cl50, plain,
% 0.61/0.94 (![X0 : $i, X1 : $i, X2 : $i]:
% 0.61/0.94 (~ (ap_parcontractE_c4 @ X0 @ X1 @ X2)
% 0.61/0.94 | (member @ (pair @ X0 @ (ap_parcontractE_sk2q @ X0 @ X1 @ X2)) @
% 0.61/0.94 parcontract))),
% 0.61/0.94 inference('cnf', [status(esa)], [ap_parcontractE12])).
% 0.61/0.94 thf(k_parcontractE2, axiom,
% 0.61/0.94 (( ~( member @ ( pair @ combK @ R ) @ parcontract ) ) |
% 0.61/0.94 ( ( R ) = ( combK ) ))).
% 0.61/0.94 thf(zip_derived_cl36, plain,
% 0.61/0.94 (![X0 : $i]:
% 0.61/0.94 (~ (member @ (pair @ combK @ X0) @ parcontract) | ((X0) = (combK)))),
% 0.61/0.94 inference('cnf', [status(esa)], [k_parcontractE2])).
% 0.61/0.94 thf(zip_derived_cl400, plain,
% 0.61/0.94 (![X0 : $i, X1 : $i]:
% 0.61/0.94 (~ (ap_parcontractE_c4 @ combK @ X1 @ X0)
% 0.61/0.94 | ((ap_parcontractE_sk2q @ combK @ X1 @ X0) = (combK)))),
% 0.61/0.94 inference('s_sup-', [status(thm)], [zip_derived_cl50, zip_derived_cl36])).
% 0.61/0.94 thf(ap_parcontractE14, axiom,
% 0.61/0.94 (( ~( ap_parcontractE_c4 @ P @ Q @ R ) ) |
% 0.61/0.94 ( ( R ) =
% 0.61/0.94 ( comb_app @
% 0.61/0.94 ( ap_parcontractE_sk2q @ P @ Q @ R ) @
% 0.61/0.94 ( ap_parcontractE_sk2s @ P @ Q @ R ) ) ))).
% 0.61/0.94 thf(zip_derived_cl52, plain,
% 0.61/0.94 (![X0 : $i, X1 : $i, X2 : $i]:
% 0.61/0.94 (~ (ap_parcontractE_c4 @ X0 @ X1 @ X2)
% 0.61/0.94 | ((X2)
% 0.61/0.94 = (comb_app @ (ap_parcontractE_sk2q @ X0 @ X1 @ X2) @
% 0.61/0.94 (ap_parcontractE_sk2s @ X0 @ X1 @ X2))))),
% 0.61/0.94 inference('cnf', [status(esa)], [ap_parcontractE14])).
% 0.61/0.94 thf(zip_derived_cl467, plain,
% 0.61/0.94 (![X0 : $i, X1 : $i]:
% 0.61/0.94 (~ (ap_parcontractE_c4 @ combK @ X1 @ X0)
% 0.61/0.94 | ~ (ap_parcontractE_c4 @ combK @ X1 @ X0)
% 0.61/0.94 | ((X0)
% 0.61/0.94 = (comb_app @ combK @ (ap_parcontractE_sk2s @ combK @ X1 @ X0))))),
% 0.61/0.94 inference('s_sup+', [status(thm)], [zip_derived_cl400, zip_derived_cl52])).
% 0.61/0.94 thf(zip_derived_cl468, plain,
% 0.61/0.94 (![X0 : $i, X1 : $i]:
% 0.61/0.94 (((X0) = (comb_app @ combK @ (ap_parcontractE_sk2s @ combK @ X1 @ X0)))
% 0.61/0.94 | ~ (ap_parcontractE_c4 @ combK @ X1 @ X0))),
% 0.61/0.94 inference('simplify', [status(thm)], [zip_derived_cl467])).
% 0.61/0.94 thf(k1_parcontractD_c1, conjecture,
% 0.61/0.94 (~( ( ~( member @ ( pair @ p @ PP ) @ parcontract ) ) |
% 0.61/0.94 ( ( r ) != ( comb_app @ combK @ PP ) ) ))).
% 0.61/0.94 thf(zf_stmt_0, negated_conjecture,
% 0.61/0.94 (( ~( member @ ( pair @ p @ PP ) @ parcontract ) ) |
% 0.61/0.94 ( ( r ) != ( comb_app @ combK @ PP ) )),
% 0.61/0.94 inference('cnf.neg', [status(esa)], [k1_parcontractD_c1])).
% 0.61/0.94 thf(zip_derived_cl54, plain,
% 0.61/0.94 (![X0 : $i]:
% 0.61/0.94 (~ (member @ (pair @ p @ X0) @ parcontract)
% 0.61/0.94 | ((r) != (comb_app @ combK @ X0)))),
% 0.61/0.94 inference('cnf', [status(esa)], [zf_stmt_0])).
% 0.61/0.94 thf(zip_derived_cl629, plain,
% 0.61/0.94 (![X0 : $i, X1 : $i]:
% 0.61/0.94 (~ (ap_parcontractE_c4 @ combK @ X1 @ X0)
% 0.61/0.94 | ~ (member @
% 0.61/0.94 (pair @ p @ (ap_parcontractE_sk2s @ combK @ X1 @ X0)) @
% 0.61/0.94 parcontract)
% 0.61/0.94 | ((r) != (X0)))),
% 0.61/0.94 inference('s_sup-', [status(thm)], [zip_derived_cl468, zip_derived_cl54])).
% 0.61/0.94 thf(zip_derived_cl674, plain,
% 0.61/0.94 (![X0 : $i]:
% 0.61/0.94 (~ (member @ (pair @ p @ (ap_parcontractE_sk2s @ combK @ X0 @ r)) @
% 0.61/0.94 parcontract)
% 0.61/0.94 | ~ (ap_parcontractE_c4 @ combK @ X0 @ r))),
% 0.61/0.94 inference('eq_res', [status(thm)], [zip_derived_cl629])).
% 0.61/0.94 thf(zip_derived_cl680, plain,
% 0.61/0.94 (![X0 : $i]:
% 0.61/0.94 (((r) = (comb_app @ combK @ X0))
% 0.61/0.94 | ~ (member @ (pair @ (comb_app @ combK @ X0) @ r) @ parcontract)
% 0.61/0.94 | (ap_parcontractE_c2 @ combK @ X0 @ r)
% 0.61/0.94 | (ap_parcontractE_c3 @ combK @ X0 @ r)
% 0.61/0.94 | ~ (member @ (pair @ p @ (ap_parcontractE_sk2s @ combK @ X0 @ r)) @
% 0.61/0.94 parcontract))),
% 0.61/0.94 inference('s_sup-', [status(thm)], [zip_derived_cl244, zip_derived_cl674])).
% 0.61/0.94 thf(ap_parcontractE11, axiom,
% 0.61/0.94 (( ~( ap_parcontractE_c3 @ P @ Q @ R ) ) |
% 0.61/0.94 ( ( P ) =
% 0.61/0.94 ( comb_app @
% 0.61/0.94 ( comb_app @ combS @ ( ap_parcontractE_sk1p @ P @ Q @ R ) ) @
% 0.61/0.94 ( ap_parcontractE_sk1q @ P @ Q @ R ) ) ))).
% 0.61/0.94 thf(zip_derived_cl49, plain,
% 0.61/0.94 (![X0 : $i, X1 : $i, X2 : $i]:
% 0.61/0.94 (~ (ap_parcontractE_c3 @ X0 @ X1 @ X2)
% 0.61/0.94 | ((X0)
% 0.61/0.94 = (comb_app @
% 0.61/0.94 (comb_app @ combS @ (ap_parcontractE_sk1p @ X0 @ X1 @ X2)) @
% 0.61/0.94 (ap_parcontractE_sk1q @ X0 @ X1 @ X2))))),
% 0.61/0.94 inference('cnf', [status(esa)], [ap_parcontractE11])).
% 0.61/0.94 thf(k_app, axiom, (( combK ) != ( comb_app @ P @ Q ))).
% 0.61/0.94 thf(zip_derived_cl1, plain,
% 0.61/0.94 (![X0 : $i, X1 : $i]: ((combK) != (comb_app @ X0 @ X1))),
% 0.61/0.94 inference('cnf', [status(esa)], [k_app])).
% 0.61/0.94 thf(zip_derived_cl429, plain,
% 0.61/0.94 (![X0 : $i, X1 : $i, X2 : $i]:
% 0.61/0.94 (~ (ap_parcontractE_c3 @ X0 @ X2 @ X1) | ((combK) != (X0)))),
% 0.61/0.94 inference('s_sup-', [status(thm)], [zip_derived_cl49, zip_derived_cl1])).
% 0.61/0.94 thf(zip_derived_cl449, plain,
% 0.61/0.94 (![X0 : $i, X1 : $i]: ~ (ap_parcontractE_c3 @ combK @ X1 @ X0)),
% 0.61/0.94 inference('eq_res', [status(thm)], [zip_derived_cl429])).
% 0.61/0.94 thf(zip_derived_cl682, plain,
% 0.61/0.94 (![X0 : $i]:
% 0.61/0.94 (((r) = (comb_app @ combK @ X0))
% 0.61/0.94 | ~ (member @ (pair @ (comb_app @ combK @ X0) @ r) @ parcontract)
% 0.61/0.94 | (ap_parcontractE_c2 @ combK @ X0 @ r)
% 0.61/0.94 | ~ (member @ (pair @ p @ (ap_parcontractE_sk2s @ combK @ X0 @ r)) @
% 0.61/0.94 parcontract))),
% 0.61/0.94 inference('demod', [status(thm)], [zip_derived_cl680, zip_derived_cl449])).
% 0.61/0.94 thf(zip_derived_cl721, plain,
% 0.61/0.94 ((((r) = (comb_app @ combK @ p))
% 0.61/0.94 | (ap_parcontractE_c2 @ combK @ p @ r)
% 0.61/0.94 | ~ (member @ (pair @ p @ (ap_parcontractE_sk2s @ combK @ p @ r)) @
% 0.61/0.94 parcontract))),
% 0.61/0.94 inference('s_sup-', [status(thm)], [zip_derived_cl53, zip_derived_cl682])).
% 0.61/0.94 thf(zip_derived_cl727, plain,
% 0.61/0.94 ((~ (ap_parcontractE_c4 @ combK @ p @ r)
% 0.61/0.94 | ((r) = (comb_app @ combK @ p))
% 0.61/0.94 | (ap_parcontractE_c2 @ combK @ p @ r))),
% 0.61/0.94 inference('s_sup-', [status(thm)], [zip_derived_cl51, zip_derived_cl721])).
% 0.61/0.94 thf(zip_derived_cl729, plain,
% 0.61/0.94 ((((r) = (comb_app @ combK @ p))
% 0.61/0.94 | ~ (member @ (pair @ (comb_app @ combK @ p) @ r) @ parcontract)
% 0.61/0.94 | (ap_parcontractE_c2 @ combK @ p @ r)
% 0.61/0.94 | (ap_parcontractE_c3 @ combK @ p @ r)
% 0.61/0.94 | ((r) = (comb_app @ combK @ p))
% 0.61/0.94 | (ap_parcontractE_c2 @ combK @ p @ r))),
% 0.61/0.94 inference('s_sup-', [status(thm)], [zip_derived_cl244, zip_derived_cl727])).
% 0.61/0.94 thf(zip_derived_cl53, plain,
% 0.61/0.94 ( (member @ (pair @ (comb_app @ combK @ p) @ r) @ parcontract)),
% 0.61/0.94 inference('cnf', [status(esa)], [k1_parcontractD_h1])).
% 0.61/0.94 thf(zip_derived_cl449, plain,
% 0.61/0.94 (![X0 : $i, X1 : $i]: ~ (ap_parcontractE_c3 @ combK @ X1 @ X0)),
% 0.61/0.94 inference('eq_res', [status(thm)], [zip_derived_cl429])).
% 0.61/0.94 thf(zip_derived_cl732, plain,
% 0.61/0.94 ((((r) = (comb_app @ combK @ p))
% 0.61/0.94 | (ap_parcontractE_c2 @ combK @ p @ r)
% 0.61/0.94 | ((r) = (comb_app @ combK @ p))
% 0.61/0.94 | (ap_parcontractE_c2 @ combK @ p @ r))),
% 0.61/0.94 inference('demod', [status(thm)],
% 0.61/0.94 [zip_derived_cl729, zip_derived_cl53, zip_derived_cl449])).
% 0.61/0.94 thf(zip_derived_cl733, plain,
% 0.61/0.94 (( (ap_parcontractE_c2 @ combK @ p @ r) | ((r) = (comb_app @ combK @ p)))),
% 0.61/0.94 inference('simplify', [status(thm)], [zip_derived_cl732])).
% 0.61/0.94 thf(ap_parcontractE6, axiom,
% 0.61/0.94 (( ~( ap_parcontractE_c2 @ P @ Q @ R ) ) |
% 0.61/0.94 ( ( P ) = ( comb_app @ combK @ R ) ))).
% 0.61/0.94 thf(zip_derived_cl44, plain,
% 0.61/0.94 (![X0 : $i, X1 : $i, X2 : $i]:
% 0.61/0.94 (~ (ap_parcontractE_c2 @ X0 @ X1 @ X2)
% 0.61/0.94 | ((X0) = (comb_app @ combK @ X2)))),
% 0.61/0.94 inference('cnf', [status(esa)], [ap_parcontractE6])).
% 0.61/0.94 thf(zip_derived_cl736, plain,
% 0.61/0.94 ((((r) = (comb_app @ combK @ p)) | ((combK) = (comb_app @ combK @ r)))),
% 0.61/0.94 inference('s_sup-', [status(thm)], [zip_derived_cl733, zip_derived_cl44])).
% 0.61/0.94 thf(zip_derived_cl1, plain,
% 0.61/0.94 (![X0 : $i, X1 : $i]: ((combK) != (comb_app @ X0 @ X1))),
% 0.61/0.94 inference('cnf', [status(esa)], [k_app])).
% 0.61/0.94 thf(zip_derived_cl737, plain, (((r) = (comb_app @ combK @ p))),
% 0.61/0.94 inference('simplify_reflect-', [status(thm)],
% 0.61/0.94 [zip_derived_cl736, zip_derived_cl1])).
% 0.61/0.94 thf(zip_derived_cl243, plain,
% 0.61/0.94 (![X0 : $i, X1 : $i, X2 : $i]:
% 0.61/0.94 ( (ap_parcontractE_c4 @ X2 @ X1 @ X0)
% 0.61/0.94 | (ap_parcontractE_c3 @ X2 @ X1 @ X0)
% 0.61/0.94 | (ap_parcontractE_c2 @ X2 @ X1 @ X0)
% 0.61/0.94 | ~ (member @ (pair @ (comb_app @ X2 @ X1) @ X0) @ parcontract)
% 0.61/0.94 | (member @ (comb_app @ X2 @ X1) @ comb))),
% 0.61/0.94 inference('dp-resolution', [status(thm)],
% 0.61/0.94 [zip_derived_cl39, zip_derived_cl40])).
% 0.61/0.94 thf(zip_derived_cl674, plain,
% 0.61/0.94 (![X0 : $i]:
% 0.61/0.94 (~ (member @ (pair @ p @ (ap_parcontractE_sk2s @ combK @ X0 @ r)) @
% 0.61/0.94 parcontract)
% 0.61/0.94 | ~ (ap_parcontractE_c4 @ combK @ X0 @ r))),
% 0.61/0.94 inference('eq_res', [status(thm)], [zip_derived_cl629])).
% 0.61/0.94 thf(zip_derived_cl679, plain,
% 0.61/0.94 (![X0 : $i]:
% 0.61/0.94 ( (member @ (comb_app @ combK @ X0) @ comb)
% 0.61/0.94 | ~ (member @ (pair @ (comb_app @ combK @ X0) @ r) @ parcontract)
% 0.61/0.94 | (ap_parcontractE_c2 @ combK @ X0 @ r)
% 0.61/0.94 | (ap_parcontractE_c3 @ combK @ X0 @ r)
% 0.61/0.94 | ~ (member @ (pair @ p @ (ap_parcontractE_sk2s @ combK @ X0 @ r)) @
% 0.61/0.94 parcontract))),
% 0.61/0.94 inference('s_sup-', [status(thm)], [zip_derived_cl243, zip_derived_cl674])).
% 0.61/0.94 thf(zip_derived_cl449, plain,
% 0.61/0.94 (![X0 : $i, X1 : $i]: ~ (ap_parcontractE_c3 @ combK @ X1 @ X0)),
% 0.61/0.94 inference('eq_res', [status(thm)], [zip_derived_cl429])).
% 0.61/0.94 thf(zip_derived_cl681, plain,
% 0.61/0.94 (![X0 : $i]:
% 0.61/0.94 ( (member @ (comb_app @ combK @ X0) @ comb)
% 0.61/0.94 | ~ (member @ (pair @ (comb_app @ combK @ X0) @ r) @ parcontract)
% 0.61/0.94 | (ap_parcontractE_c2 @ combK @ X0 @ r)
% 0.61/0.94 | ~ (member @ (pair @ p @ (ap_parcontractE_sk2s @ combK @ X0 @ r)) @
% 0.61/0.94 parcontract))),
% 0.61/0.94 inference('demod', [status(thm)], [zip_derived_cl679, zip_derived_cl449])).
% 0.61/0.94 thf(zip_derived_cl768, plain,
% 0.61/0.94 (( (member @ r @ comb)
% 0.61/0.94 | ~ (member @ (pair @ r @ r) @ parcontract)
% 0.61/0.94 | (ap_parcontractE_c2 @ combK @ p @ r)
% 0.61/0.94 | ~ (member @ (pair @ p @ (ap_parcontractE_sk2s @ combK @ p @ r)) @
% 0.61/0.94 parcontract))),
% 0.61/0.94 inference('s_sup-', [status(thm)], [zip_derived_cl737, zip_derived_cl681])).
% 0.61/0.94 thf(zip_derived_cl737, plain, (((r) = (comb_app @ combK @ p))),
% 0.61/0.94 inference('simplify_reflect-', [status(thm)],
% 0.61/0.94 [zip_derived_cl736, zip_derived_cl1])).
% 0.61/0.94 thf(ap_E2, axiom,
% 0.61/0.94 (( ~( member @ ( comb_app @ P @ Q ) @ comb ) ) | ( member @ Q @ comb ))).
% 0.61/0.94 thf(zip_derived_cl7, plain,
% 0.61/0.94 (![X0 : $i, X1 : $i]:
% 0.61/0.94 (~ (member @ (comb_app @ X0 @ X1) @ comb) | (member @ X1 @ comb))),
% 0.61/0.94 inference('cnf', [status(esa)], [ap_E2])).
% 0.61/0.94 thf(zip_derived_cl744, plain,
% 0.61/0.94 ((~ (member @ r @ comb) | (member @ p @ comb))),
% 0.61/0.94 inference('s_sup-', [status(thm)], [zip_derived_cl737, zip_derived_cl7])).
% 0.61/0.94 thf(parcontract_intros1, axiom,
% 0.61/0.94 (( ~( member @ P @ comb ) ) | ( member @ ( pair @ P @ P ) @ parcontract ))).
% 0.61/0.94 thf(zip_derived_cl31, plain,
% 0.61/0.94 (![X0 : $i]:
% 0.61/0.94 (~ (member @ X0 @ comb) | (member @ (pair @ X0 @ X0) @ parcontract))),
% 0.61/0.94 inference('cnf', [status(esa)], [parcontract_intros1])).
% 0.61/0.94 thf(zip_derived_cl737, plain, (((r) = (comb_app @ combK @ p))),
% 0.61/0.94 inference('simplify_reflect-', [status(thm)],
% 0.61/0.94 [zip_derived_cl736, zip_derived_cl1])).
% 0.61/0.94 thf(zip_derived_cl54, plain,
% 0.61/0.94 (![X0 : $i]:
% 0.61/0.94 (~ (member @ (pair @ p @ X0) @ parcontract)
% 0.61/0.94 | ((r) != (comb_app @ combK @ X0)))),
% 0.61/0.94 inference('cnf', [status(esa)], [zf_stmt_0])).
% 0.61/0.94 thf(zip_derived_cl766, plain,
% 0.61/0.94 ((~ (member @ (pair @ p @ p) @ parcontract) | ((r) != (r)))),
% 0.61/0.94 inference('s_sup-', [status(thm)], [zip_derived_cl737, zip_derived_cl54])).
% 0.61/0.94 thf(zip_derived_cl777, plain, (~ (member @ (pair @ p @ p) @ parcontract)),
% 0.61/0.94 inference('simplify', [status(thm)], [zip_derived_cl766])).
% 0.61/0.94 thf(zip_derived_cl778, plain, (~ (member @ p @ comb)),
% 0.61/0.94 inference('s_sup-', [status(thm)], [zip_derived_cl31, zip_derived_cl777])).
% 0.61/0.94 thf(zip_derived_cl793, plain, (~ (member @ r @ comb)),
% 0.61/0.94 inference('demod', [status(thm)], [zip_derived_cl744, zip_derived_cl778])).
% 0.61/0.94 thf(zip_derived_cl53, plain,
% 0.61/0.94 ( (member @ (pair @ (comb_app @ combK @ p) @ r) @ parcontract)),
% 0.61/0.94 inference('cnf', [status(esa)], [k1_parcontractD_h1])).
% 0.61/0.94 thf(zip_derived_cl737, plain, (((r) = (comb_app @ combK @ p))),
% 0.61/0.94 inference('simplify_reflect-', [status(thm)],
% 0.61/0.94 [zip_derived_cl736, zip_derived_cl1])).
% 0.61/0.94 thf(zip_derived_cl738, plain, ( (member @ (pair @ r @ r) @ parcontract)),
% 0.61/0.94 inference('demod', [status(thm)], [zip_derived_cl53, zip_derived_cl737])).
% 0.61/0.94 thf(zip_derived_cl878, plain,
% 0.61/0.94 (( (ap_parcontractE_c2 @ combK @ p @ r)
% 0.61/0.94 | ~ (member @ (pair @ p @ (ap_parcontractE_sk2s @ combK @ p @ r)) @
% 0.61/0.94 parcontract))),
% 0.61/0.94 inference('demod', [status(thm)],
% 0.61/0.94 [zip_derived_cl768, zip_derived_cl793, zip_derived_cl738])).
% 0.61/0.94 thf(zip_derived_cl879, plain,
% 0.61/0.94 ((~ (ap_parcontractE_c4 @ combK @ p @ r)
% 0.61/0.94 | (ap_parcontractE_c2 @ combK @ p @ r))),
% 0.61/0.94 inference('s_sup-', [status(thm)], [zip_derived_cl51, zip_derived_cl878])).
% 0.61/0.94 thf(zip_derived_cl881, plain,
% 0.61/0.94 (( (member @ (comb_app @ combK @ p) @ comb)
% 0.61/0.94 | ~ (member @ (pair @ (comb_app @ combK @ p) @ r) @ parcontract)
% 0.61/0.94 | (ap_parcontractE_c2 @ combK @ p @ r)
% 0.61/0.94 | (ap_parcontractE_c3 @ combK @ p @ r)
% 0.61/0.94 | (ap_parcontractE_c2 @ combK @ p @ r))),
% 0.61/0.94 inference('s_sup-', [status(thm)], [zip_derived_cl243, zip_derived_cl879])).
% 0.61/0.94 thf(zip_derived_cl737, plain, (((r) = (comb_app @ combK @ p))),
% 0.61/0.94 inference('simplify_reflect-', [status(thm)],
% 0.61/0.94 [zip_derived_cl736, zip_derived_cl1])).
% 0.61/0.94 thf(zip_derived_cl793, plain, (~ (member @ r @ comb)),
% 0.61/0.94 inference('demod', [status(thm)], [zip_derived_cl744, zip_derived_cl778])).
% 0.61/0.94 thf(zip_derived_cl737, plain, (((r) = (comb_app @ combK @ p))),
% 0.61/0.94 inference('simplify_reflect-', [status(thm)],
% 0.61/0.94 [zip_derived_cl736, zip_derived_cl1])).
% 0.61/0.94 thf(zip_derived_cl738, plain, ( (member @ (pair @ r @ r) @ parcontract)),
% 0.61/0.94 inference('demod', [status(thm)], [zip_derived_cl53, zip_derived_cl737])).
% 0.61/0.94 thf(zip_derived_cl449, plain,
% 0.61/0.94 (![X0 : $i, X1 : $i]: ~ (ap_parcontractE_c3 @ combK @ X1 @ X0)),
% 0.61/0.94 inference('eq_res', [status(thm)], [zip_derived_cl429])).
% 0.61/0.94 thf(zip_derived_cl883, plain,
% 0.61/0.94 (( (ap_parcontractE_c2 @ combK @ p @ r)
% 0.61/0.94 | (ap_parcontractE_c2 @ combK @ p @ r))),
% 0.61/0.94 inference('demod', [status(thm)],
% 0.61/0.94 [zip_derived_cl881, zip_derived_cl737, zip_derived_cl793,
% 0.61/0.94 zip_derived_cl737, zip_derived_cl738, zip_derived_cl449])).
% 0.61/0.94 thf(zip_derived_cl884, plain, ( (ap_parcontractE_c2 @ combK @ p @ r)),
% 0.61/0.94 inference('simplify', [status(thm)], [zip_derived_cl883])).
% 0.61/0.94 thf(zip_derived_cl44, plain,
% 0.61/0.94 (![X0 : $i, X1 : $i, X2 : $i]:
% 0.61/0.94 (~ (ap_parcontractE_c2 @ X0 @ X1 @ X2)
% 0.61/0.94 | ((X0) = (comb_app @ combK @ X2)))),
% 0.61/0.94 inference('cnf', [status(esa)], [ap_parcontractE6])).
% 0.61/0.94 thf(zip_derived_cl889, plain, (((combK) = (comb_app @ combK @ r))),
% 0.61/0.94 inference('s_sup-', [status(thm)], [zip_derived_cl884, zip_derived_cl44])).
% 0.61/0.94 thf(zip_derived_cl1, plain,
% 0.61/0.94 (![X0 : $i, X1 : $i]: ((combK) != (comb_app @ X0 @ X1))),
% 0.61/0.94 inference('cnf', [status(esa)], [k_app])).
% 0.61/0.94 thf(zip_derived_cl890, plain, ($false),
% 0.61/0.94 inference('simplify_reflect-', [status(thm)],
% 0.61/0.94 [zip_derived_cl889, zip_derived_cl1])).
% 0.61/0.94
% 0.61/0.94 % SZS output end Refutation
% 0.61/0.94
% 0.61/0.94
% 0.61/0.94 % Terminating...
% 0.61/0.99 % Runner terminated.
% 0.61/1.00 % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------