%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : COL090-3 : 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.jhKzam6lsY true
% Computer : n021.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 0.58s 0.86s
% Output : Refutation 0.58s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.08/0.13 % Problem : COL090-3 : TPTP v9.2.0. Released v2.7.0.
% 0.08/0.14 % Command : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.jhKzam6lsY true
% 0.15/0.36 % Computer : n021.cluster.edu
% 0.15/0.36 % Model : x86_64 x86_64
% 0.15/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.36 % Memory : 8042.1875MB
% 0.15/0.36 % OS : Linux 3.10.0-693.el7.x86_64
% 0.15/0.36 % CPULimit : 300
% 0.15/0.36 % WCLimit : 300
% 0.15/0.36 % DateTime : Wed Oct 1 11:01:23 EDT 2025
% 0.15/0.36 % CPUTime :
% 0.15/0.36 % Running portfolio for 300 s
% 0.15/0.36 % File : /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.15/0.36 % Number of cores: 8
% 0.15/0.37 % Python version: Python 3.6.8
% 0.15/0.37 % Running in FO mode
% 0.52/0.64 % Total configuration time : 435
% 0.52/0.64 % Estimated wc time : 1092
% 0.52/0.64 % Estimated cpu time (7 cpus) : 156.0
% 0.57/0.71 % /export/starexec/sandbox/solver/bin/fo/fo6_bce.sh running for 75s
% 0.57/0.73 % /export/starexec/sandbox/solver/bin/fo/fo3_bce.sh running for 75s
% 0.57/0.76 % /export/starexec/sandbox/solver/bin/fo/fo1_av.sh running for 75s
% 0.57/0.76 % /export/starexec/sandbox/solver/bin/fo/fo13.sh running for 50s
% 0.57/0.76 % /export/starexec/sandbox/solver/bin/fo/fo7.sh running for 63s
% 0.57/0.76 % /export/starexec/sandbox/solver/bin/fo/fo5.sh running for 50s
% 0.57/0.77 % /export/starexec/sandbox/solver/bin/fo/fo4.sh running for 50s
% 0.58/0.86 % Solved by fo/fo5.sh.
% 0.58/0.86 % done 126 iterations in 0.071s
% 0.58/0.86 % SZS status Theorem for '/export/starexec/sandbox/benchmark/theBenchmark.p'
% 0.58/0.86 % SZS output start Refutation
% 0.58/0.86 thf(contract_type, type, contract: $i).
% 0.58/0.86 thf(ap_contractE_c3_type, type, ap_contractE_c3: $i > $i > $i > $o).
% 0.58/0.86 thf(pair_type, type, pair: $i > $i > $i).
% 0.58/0.86 thf(ap_contractE_sk1p_type, type, ap_contractE_sk1p: $i > $i > $i > $i).
% 0.58/0.86 thf(r_type, type, r: $i).
% 0.58/0.86 thf(comb_app_type, type, comb_app: $i > $i > $i).
% 0.58/0.86 thf('#_fresh_sk1_type', type, '#_fresh_sk1': $i > $i).
% 0.58/0.86 thf(ap_contractE_c1_type, type, ap_contractE_c1: $i > $i > $i > $o).
% 0.58/0.86 thf(ap_contractE_sk2q_type, type, ap_contractE_sk2q: $i > $i > $i > $i).
% 0.58/0.86 thf(ap_contractE_c2_type, type, ap_contractE_c2: $i > $i > $i > $o).
% 0.58/0.86 thf(combS_type, type, combS: $i).
% 0.58/0.86 thf(ap_contractE_sk1q_type, type, ap_contractE_sk1q: $i > $i > $i > $i).
% 0.58/0.86 thf(member_type, type, member: $i > $i > $o).
% 0.58/0.86 thf(combK_type, type, combK: $i).
% 0.58/0.86 thf(ap_contractE_c4_type, type, ap_contractE_c4: $i > $i > $i > $o).
% 0.58/0.86 thf(ap_contractE_sk3q_type, type, ap_contractE_sk3q: $i > $i > $i > $i).
% 0.58/0.86 thf(i_contract_E, conjecture,
% 0.58/0.86 (~( member @
% 0.58/0.86 ( pair @ ( comb_app @ ( comb_app @ combS @ combK ) @ combK ) @ r ) @
% 0.58/0.86 contract ))).
% 0.58/0.86 thf(zf_stmt_0, negated_conjecture,
% 0.58/0.86 (member @
% 0.58/0.86 ( pair @ ( comb_app @ ( comb_app @ combS @ combK ) @ combK ) @ r ) @
% 0.58/0.86 contract),
% 0.58/0.86 inference('cnf.neg', [status(esa)], [i_contract_E])).
% 0.58/0.86 thf(zip_derived_cl23, plain,
% 0.58/0.86 ( (member @
% 0.58/0.86 (pair @ (comb_app @ (comb_app @ combS @ combK) @ combK) @ r) @
% 0.58/0.86 contract)),
% 0.58/0.86 inference('cnf', [status(esa)], [zf_stmt_0])).
% 0.58/0.86 thf(ap_contractE1, axiom,
% 0.58/0.86 (( ~( member @ ( pair @ ( comb_app @ P @ Q ) @ R ) @ contract ) ) |
% 0.58/0.86 ( ap_contractE_c1 @ P @ Q @ R ) | ( ap_contractE_c2 @ P @ Q @ R ) |
% 0.58/0.86 ( ap_contractE_c3 @ P @ Q @ R ) | ( ap_contractE_c4 @ P @ Q @ R ))).
% 0.58/0.86 thf(zip_derived_cl6, plain,
% 0.58/0.86 (![X0 : $i, X1 : $i, X2 : $i]:
% 0.58/0.86 (~ (member @ (pair @ (comb_app @ X0 @ X1) @ X2) @ contract)
% 0.58/0.86 | (ap_contractE_c1 @ X0 @ X1 @ X2)
% 0.58/0.86 | (ap_contractE_c2 @ X0 @ X1 @ X2)
% 0.58/0.86 | (ap_contractE_c3 @ X0 @ X1 @ X2)
% 0.58/0.86 | (ap_contractE_c4 @ X0 @ X1 @ X2))),
% 0.58/0.86 inference('cnf', [status(esa)], [ap_contractE1])).
% 0.58/0.86 thf(zip_derived_cl28, plain,
% 0.58/0.86 (( (ap_contractE_c4 @ (comb_app @ combS @ combK) @ combK @ r)
% 0.58/0.86 | (ap_contractE_c3 @ (comb_app @ combS @ combK) @ combK @ r)
% 0.58/0.86 | (ap_contractE_c2 @ (comb_app @ combS @ combK) @ combK @ r)
% 0.58/0.86 | (ap_contractE_c1 @ (comb_app @ combS @ combK) @ combK @ r))),
% 0.58/0.86 inference('sup-', [status(thm)], [zip_derived_cl23, zip_derived_cl6])).
% 0.58/0.86 thf(ap_contractE9, axiom,
% 0.58/0.86 (( ~( ap_contractE_c2 @ P @ Q @ R ) ) |
% 0.58/0.86 ( ( P ) =
% 0.58/0.86 ( comb_app @
% 0.58/0.86 ( comb_app @ combS @ ( ap_contractE_sk1p @ P @ Q @ R ) ) @
% 0.58/0.86 ( ap_contractE_sk1q @ P @ Q @ R ) ) ))).
% 0.58/0.86 thf(zip_derived_cl14, plain,
% 0.58/0.86 (![X0 : $i, X1 : $i, X2 : $i]:
% 0.58/0.86 (~ (ap_contractE_c2 @ X0 @ X1 @ X2)
% 0.58/0.86 | ((X0)
% 0.58/0.86 = (comb_app @
% 0.58/0.86 (comb_app @ combS @ (ap_contractE_sk1p @ X0 @ X1 @ X2)) @
% 0.58/0.86 (ap_contractE_sk1q @ X0 @ X1 @ X2))))),
% 0.58/0.86 inference('cnf', [status(esa)], [ap_contractE9])).
% 0.58/0.86 thf(zip_derived_cl33, plain,
% 0.58/0.86 (( (ap_contractE_c1 @ (comb_app @ combS @ combK) @ combK @ r)
% 0.58/0.86 | (ap_contractE_c3 @ (comb_app @ combS @ combK) @ combK @ r)
% 0.58/0.86 | (ap_contractE_c4 @ (comb_app @ combS @ combK) @ combK @ r)
% 0.58/0.86 | ((comb_app @ combS @ combK)
% 0.58/0.86 = (comb_app @
% 0.58/0.86 (comb_app @ combS @
% 0.58/0.86 (ap_contractE_sk1p @ (comb_app @ combS @ combK) @ combK @ r)) @
% 0.58/0.86 (ap_contractE_sk1q @ (comb_app @ combS @ combK) @ combK @ r))))),
% 0.58/0.86 inference('sup-', [status(thm)], [zip_derived_cl28, zip_derived_cl14])).
% 0.58/0.86 thf(app_app1, axiom,
% 0.58/0.86 (( ( comb_app @ P1 @ Q1 ) != ( comb_app @ P2 @ Q2 ) ) | ( ( P1 ) = ( P2 ) ))).
% 0.58/0.86 thf(zip_derived_cl3, plain,
% 0.58/0.86 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 0.58/0.86 (((comb_app @ X2 @ X3) != (comb_app @ X0 @ X1)) | ((X2) = (X0)))),
% 0.58/0.86 inference('cnf', [status(esa)], [app_app1])).
% 0.58/0.86 thf(zip_derived_cl25, plain,
% 0.58/0.86 (![X2 : $i, X3 : $i]: (('#_fresh_sk1' @ (comb_app @ X2 @ X3)) = (X2))),
% 0.58/0.86 inference('inj_rec', [status(thm)], [zip_derived_cl3])).
% 0.58/0.86 thf(zip_derived_cl96, plain,
% 0.58/0.86 (((('#_fresh_sk1' @ (comb_app @ combS @ combK))
% 0.58/0.86 = (comb_app @ combS @
% 0.58/0.86 (ap_contractE_sk1p @ (comb_app @ combS @ combK) @ combK @ r)))
% 0.58/0.86 | (ap_contractE_c4 @ (comb_app @ combS @ combK) @ combK @ r)
% 0.58/0.86 | (ap_contractE_c3 @ (comb_app @ combS @ combK) @ combK @ r)
% 0.58/0.86 | (ap_contractE_c1 @ (comb_app @ combS @ combK) @ combK @ r))),
% 0.58/0.86 inference('sup+', [status(thm)], [zip_derived_cl33, zip_derived_cl25])).
% 0.58/0.86 thf(zip_derived_cl25, plain,
% 0.58/0.86 (![X2 : $i, X3 : $i]: (('#_fresh_sk1' @ (comb_app @ X2 @ X3)) = (X2))),
% 0.58/0.86 inference('inj_rec', [status(thm)], [zip_derived_cl3])).
% 0.58/0.86 thf(zip_derived_cl100, plain,
% 0.58/0.86 ((((combS)
% 0.58/0.86 = (comb_app @ combS @
% 0.58/0.86 (ap_contractE_sk1p @ (comb_app @ combS @ combK) @ combK @ r)))
% 0.58/0.86 | (ap_contractE_c4 @ (comb_app @ combS @ combK) @ combK @ r)
% 0.58/0.86 | (ap_contractE_c3 @ (comb_app @ combS @ combK) @ combK @ r)
% 0.58/0.86 | (ap_contractE_c1 @ (comb_app @ combS @ combK) @ combK @ r))),
% 0.58/0.86 inference('demod', [status(thm)], [zip_derived_cl96, zip_derived_cl25])).
% 0.58/0.86 thf(s_app, axiom, (( combS ) != ( comb_app @ P @ Q ))).
% 0.58/0.86 thf(zip_derived_cl2, plain,
% 0.58/0.86 (![X0 : $i, X1 : $i]: ((combS) != (comb_app @ X0 @ X1))),
% 0.58/0.86 inference('cnf', [status(esa)], [s_app])).
% 0.58/0.86 thf(zip_derived_cl101, plain,
% 0.58/0.86 (( (ap_contractE_c4 @ (comb_app @ combS @ combK) @ combK @ r)
% 0.58/0.86 | (ap_contractE_c3 @ (comb_app @ combS @ combK) @ combK @ r)
% 0.58/0.86 | (ap_contractE_c1 @ (comb_app @ combS @ combK) @ combK @ r))),
% 0.58/0.86 inference('simplify_reflect-', [status(thm)],
% 0.58/0.86 [zip_derived_cl100, zip_derived_cl2])).
% 0.58/0.86 thf(ap_contractE13, axiom,
% 0.58/0.86 (( ~( ap_contractE_c4 @ P @ Q @ R ) ) |
% 0.58/0.86 ( member @ ( pair @ Q @ ( ap_contractE_sk3q @ P @ Q @ R ) ) @ contract ))).
% 0.58/0.86 thf(zip_derived_cl18, plain,
% 0.58/0.86 (![X0 : $i, X1 : $i, X2 : $i]:
% 0.58/0.86 (~ (ap_contractE_c4 @ X0 @ X1 @ X2)
% 0.58/0.86 | (member @ (pair @ X1 @ (ap_contractE_sk3q @ X0 @ X1 @ X2)) @
% 0.58/0.86 contract))),
% 0.58/0.86 inference('cnf', [status(esa)], [ap_contractE13])).
% 0.58/0.86 thf(zip_derived_cl105, plain,
% 0.58/0.86 (( (ap_contractE_c1 @ (comb_app @ combS @ combK) @ combK @ r)
% 0.58/0.86 | (ap_contractE_c3 @ (comb_app @ combS @ combK) @ combK @ r)
% 0.58/0.86 | (member @
% 0.58/0.86 (pair @ combK @
% 0.58/0.86 (ap_contractE_sk3q @ (comb_app @ combS @ combK) @ combK @ r)) @
% 0.58/0.86 contract))),
% 0.58/0.86 inference('sup-', [status(thm)], [zip_derived_cl101, zip_derived_cl18])).
% 0.58/0.86 thf(k_contractE, axiom, (~( member @ ( pair @ combK @ R ) @ contract ))).
% 0.58/0.86 thf(zip_derived_cl21, plain,
% 0.58/0.86 (![X0 : $i]: ~ (member @ (pair @ combK @ X0) @ contract)),
% 0.58/0.86 inference('cnf', [status(esa)], [k_contractE])).
% 0.58/0.86 thf(zip_derived_cl134, plain,
% 0.58/0.86 (( (ap_contractE_c3 @ (comb_app @ combS @ combK) @ combK @ r)
% 0.58/0.86 | (ap_contractE_c1 @ (comb_app @ combS @ combK) @ combK @ r))),
% 0.58/0.86 inference('clc', [status(thm)], [zip_derived_cl105, zip_derived_cl21])).
% 0.58/0.86 thf(ap_contractE12, axiom,
% 0.58/0.86 (( ~( ap_contractE_c3 @ P @ Q @ R ) ) |
% 0.58/0.86 ( ( R ) = ( comb_app @ ( ap_contractE_sk2q @ P @ Q @ R ) @ Q ) ))).
% 0.58/0.86 thf(zip_derived_cl17, plain,
% 0.58/0.86 (![X0 : $i, X1 : $i, X2 : $i]:
% 0.58/0.86 (~ (ap_contractE_c3 @ X0 @ X1 @ X2)
% 0.58/0.86 | ((X2) = (comb_app @ (ap_contractE_sk2q @ X0 @ X1 @ X2) @ X1)))),
% 0.58/0.86 inference('cnf', [status(esa)], [ap_contractE12])).
% 0.58/0.86 thf(zip_derived_cl137, plain,
% 0.58/0.86 (( (ap_contractE_c1 @ (comb_app @ combS @ combK) @ combK @ r)
% 0.58/0.86 | ((r)
% 0.58/0.86 = (comb_app @
% 0.58/0.86 (ap_contractE_sk2q @ (comb_app @ combS @ combK) @ combK @ r) @
% 0.58/0.86 combK)))),
% 0.58/0.86 inference('sup-', [status(thm)], [zip_derived_cl134, zip_derived_cl17])).
% 0.58/0.86 thf(zip_derived_cl25, plain,
% 0.58/0.86 (![X2 : $i, X3 : $i]: (('#_fresh_sk1' @ (comb_app @ X2 @ X3)) = (X2))),
% 0.58/0.86 inference('inj_rec', [status(thm)], [zip_derived_cl3])).
% 0.58/0.86 thf(zip_derived_cl146, plain,
% 0.58/0.86 (((('#_fresh_sk1' @ r)
% 0.58/0.86 = (ap_contractE_sk2q @ (comb_app @ combS @ combK) @ combK @ r))
% 0.58/0.86 | (ap_contractE_c1 @ (comb_app @ combS @ combK) @ combK @ r))),
% 0.58/0.86 inference('sup+', [status(thm)], [zip_derived_cl137, zip_derived_cl25])).
% 0.58/0.86 thf(zip_derived_cl134, plain,
% 0.58/0.86 (( (ap_contractE_c3 @ (comb_app @ combS @ combK) @ combK @ r)
% 0.58/0.86 | (ap_contractE_c1 @ (comb_app @ combS @ combK) @ combK @ r))),
% 0.58/0.86 inference('clc', [status(thm)], [zip_derived_cl105, zip_derived_cl21])).
% 0.58/0.86 thf(ap_contractE10, axiom,
% 0.58/0.86 (( ~( ap_contractE_c3 @ P @ Q @ R ) ) |
% 0.58/0.86 ( member @ ( pair @ P @ ( ap_contractE_sk2q @ P @ Q @ R ) ) @ contract ))).
% 0.58/0.86 thf(zip_derived_cl15, plain,
% 0.58/0.86 (![X0 : $i, X1 : $i, X2 : $i]:
% 0.58/0.86 (~ (ap_contractE_c3 @ X0 @ X1 @ X2)
% 0.58/0.86 | (member @ (pair @ X0 @ (ap_contractE_sk2q @ X0 @ X1 @ X2)) @
% 0.58/0.86 contract))),
% 0.58/0.86 inference('cnf', [status(esa)], [ap_contractE10])).
% 0.58/0.86 thf(zip_derived_cl135, plain,
% 0.58/0.86 (( (ap_contractE_c1 @ (comb_app @ combS @ combK) @ combK @ r)
% 0.58/0.86 | (member @
% 0.58/0.86 (pair @ (comb_app @ combS @ combK) @
% 0.58/0.86 (ap_contractE_sk2q @ (comb_app @ combS @ combK) @ combK @ r)) @
% 0.58/0.86 contract))),
% 0.58/0.86 inference('sup-', [status(thm)], [zip_derived_cl134, zip_derived_cl15])).
% 0.58/0.86 thf(zip_derived_cl209, plain,
% 0.58/0.86 (( (member @ (pair @ (comb_app @ combS @ combK) @ ('#_fresh_sk1' @ r)) @
% 0.58/0.86 contract)
% 0.58/0.86 | (ap_contractE_c1 @ (comb_app @ combS @ combK) @ combK @ r)
% 0.58/0.86 | (ap_contractE_c1 @ (comb_app @ combS @ combK) @ combK @ r))),
% 0.58/0.86 inference('sup+', [status(thm)], [zip_derived_cl146, zip_derived_cl135])).
% 0.58/0.86 thf(zip_derived_cl210, plain,
% 0.58/0.86 (( (ap_contractE_c1 @ (comb_app @ combS @ combK) @ combK @ r)
% 0.58/0.86 | (member @
% 0.58/0.86 (pair @ (comb_app @ combS @ combK) @ ('#_fresh_sk1' @ r)) @
% 0.58/0.86 contract))),
% 0.58/0.86 inference('simplify', [status(thm)], [zip_derived_cl209])).
% 0.58/0.86 thf(zip_derived_cl6, plain,
% 0.58/0.86 (![X0 : $i, X1 : $i, X2 : $i]:
% 0.58/0.86 (~ (member @ (pair @ (comb_app @ X0 @ X1) @ X2) @ contract)
% 0.58/0.86 | (ap_contractE_c1 @ X0 @ X1 @ X2)
% 0.58/0.86 | (ap_contractE_c2 @ X0 @ X1 @ X2)
% 0.58/0.86 | (ap_contractE_c3 @ X0 @ X1 @ X2)
% 0.58/0.86 | (ap_contractE_c4 @ X0 @ X1 @ X2))),
% 0.58/0.86 inference('cnf', [status(esa)], [ap_contractE1])).
% 0.58/0.86 thf(zip_derived_cl211, plain,
% 0.58/0.86 (( (ap_contractE_c1 @ (comb_app @ combS @ combK) @ combK @ r)
% 0.58/0.86 | (ap_contractE_c4 @ combS @ combK @ ('#_fresh_sk1' @ r))
% 0.58/0.86 | (ap_contractE_c3 @ combS @ combK @ ('#_fresh_sk1' @ r))
% 0.58/0.86 | (ap_contractE_c2 @ combS @ combK @ ('#_fresh_sk1' @ r))
% 0.58/0.86 | (ap_contractE_c1 @ combS @ combK @ ('#_fresh_sk1' @ r)))),
% 0.58/0.86 inference('sup-', [status(thm)], [zip_derived_cl210, zip_derived_cl6])).
% 0.58/0.86 thf(ap_contractE4, axiom,
% 0.58/0.86 (( ~( ap_contractE_c1 @ P @ Q @ R ) ) |
% 0.58/0.86 ( ( P ) = ( comb_app @ combK @ R ) ))).
% 0.58/0.86 thf(zip_derived_cl9, plain,
% 0.58/0.86 (![X0 : $i, X1 : $i, X2 : $i]:
% 0.58/0.86 (~ (ap_contractE_c1 @ X0 @ X1 @ X2) | ((X0) = (comb_app @ combK @ X2)))),
% 0.58/0.86 inference('cnf', [status(esa)], [ap_contractE4])).
% 0.58/0.86 thf(zip_derived_cl223, plain,
% 0.58/0.86 (( (ap_contractE_c1 @ combS @ combK @ ('#_fresh_sk1' @ r))
% 0.58/0.86 | (ap_contractE_c2 @ combS @ combK @ ('#_fresh_sk1' @ r))
% 0.58/0.86 | (ap_contractE_c3 @ combS @ combK @ ('#_fresh_sk1' @ r))
% 0.58/0.86 | (ap_contractE_c4 @ combS @ combK @ ('#_fresh_sk1' @ r))
% 0.58/0.86 | ((comb_app @ combS @ combK) = (comb_app @ combK @ r)))),
% 0.58/0.86 inference('sup-', [status(thm)], [zip_derived_cl211, zip_derived_cl9])).
% 0.58/0.86 thf(zip_derived_cl14, plain,
% 0.58/0.86 (![X0 : $i, X1 : $i, X2 : $i]:
% 0.58/0.86 (~ (ap_contractE_c2 @ X0 @ X1 @ X2)
% 0.58/0.86 | ((X0)
% 0.58/0.86 = (comb_app @
% 0.58/0.86 (comb_app @ combS @ (ap_contractE_sk1p @ X0 @ X1 @ X2)) @
% 0.58/0.86 (ap_contractE_sk1q @ X0 @ X1 @ X2))))),
% 0.58/0.86 inference('cnf', [status(esa)], [ap_contractE9])).
% 0.58/0.86 thf(zip_derived_cl264, plain,
% 0.58/0.86 ((((comb_app @ combS @ combK) = (comb_app @ combK @ r))
% 0.58/0.86 | (ap_contractE_c4 @ combS @ combK @ ('#_fresh_sk1' @ r))
% 0.58/0.86 | (ap_contractE_c3 @ combS @ combK @ ('#_fresh_sk1' @ r))
% 0.58/0.86 | (ap_contractE_c1 @ combS @ combK @ ('#_fresh_sk1' @ r))
% 0.58/0.86 | ((combS)
% 0.58/0.86 = (comb_app @
% 0.58/0.86 (comb_app @ combS @
% 0.58/0.86 (ap_contractE_sk1p @ combS @ combK @ ('#_fresh_sk1' @ r))) @
% 0.58/0.86 (ap_contractE_sk1q @ combS @ combK @ ('#_fresh_sk1' @ r)))))),
% 0.58/0.86 inference('sup-', [status(thm)], [zip_derived_cl223, zip_derived_cl14])).
% 0.58/0.86 thf(zip_derived_cl2, plain,
% 0.58/0.86 (![X0 : $i, X1 : $i]: ((combS) != (comb_app @ X0 @ X1))),
% 0.58/0.86 inference('cnf', [status(esa)], [s_app])).
% 0.58/0.86 thf(zip_derived_cl266, plain,
% 0.58/0.86 ((((comb_app @ combS @ combK) = (comb_app @ combK @ r))
% 0.58/0.86 | (ap_contractE_c4 @ combS @ combK @ ('#_fresh_sk1' @ r))
% 0.58/0.86 | (ap_contractE_c3 @ combS @ combK @ ('#_fresh_sk1' @ r))
% 0.58/0.86 | (ap_contractE_c1 @ combS @ combK @ ('#_fresh_sk1' @ r)))),
% 0.58/0.86 inference('simplify_reflect-', [status(thm)],
% 0.58/0.86 [zip_derived_cl264, zip_derived_cl2])).
% 0.58/0.86 thf(zip_derived_cl18, plain,
% 0.58/0.86 (![X0 : $i, X1 : $i, X2 : $i]:
% 0.58/0.86 (~ (ap_contractE_c4 @ X0 @ X1 @ X2)
% 0.58/0.86 | (member @ (pair @ X1 @ (ap_contractE_sk3q @ X0 @ X1 @ X2)) @
% 0.58/0.86 contract))),
% 0.58/0.86 inference('cnf', [status(esa)], [ap_contractE13])).
% 0.58/0.86 thf(zip_derived_cl267, plain,
% 0.58/0.86 (( (ap_contractE_c1 @ combS @ combK @ ('#_fresh_sk1' @ r))
% 0.58/0.86 | (ap_contractE_c3 @ combS @ combK @ ('#_fresh_sk1' @ r))
% 0.58/0.86 | ((comb_app @ combS @ combK) = (comb_app @ combK @ r))
% 0.58/0.86 | (member @
% 0.58/0.86 (pair @ combK @
% 0.58/0.86 (ap_contractE_sk3q @ combS @ combK @ ('#_fresh_sk1' @ r))) @
% 0.58/0.86 contract))),
% 0.58/0.86 inference('sup-', [status(thm)], [zip_derived_cl266, zip_derived_cl18])).
% 0.58/0.86 thf(zip_derived_cl21, plain,
% 0.58/0.86 (![X0 : $i]: ~ (member @ (pair @ combK @ X0) @ contract)),
% 0.58/0.86 inference('cnf', [status(esa)], [k_contractE])).
% 0.58/0.86 thf(zip_derived_cl297, plain,
% 0.58/0.86 ((((comb_app @ combS @ combK) = (comb_app @ combK @ r))
% 0.58/0.86 | (ap_contractE_c3 @ combS @ combK @ ('#_fresh_sk1' @ r))
% 0.58/0.86 | (ap_contractE_c1 @ combS @ combK @ ('#_fresh_sk1' @ r)))),
% 0.58/0.86 inference('clc', [status(thm)], [zip_derived_cl267, zip_derived_cl21])).
% 0.58/0.86 thf(zip_derived_cl15, plain,
% 0.58/0.86 (![X0 : $i, X1 : $i, X2 : $i]:
% 0.58/0.86 (~ (ap_contractE_c3 @ X0 @ X1 @ X2)
% 0.58/0.86 | (member @ (pair @ X0 @ (ap_contractE_sk2q @ X0 @ X1 @ X2)) @
% 0.58/0.86 contract))),
% 0.58/0.86 inference('cnf', [status(esa)], [ap_contractE10])).
% 0.58/0.86 thf(zip_derived_cl298, plain,
% 0.58/0.86 (( (ap_contractE_c1 @ combS @ combK @ ('#_fresh_sk1' @ r))
% 0.58/0.86 | ((comb_app @ combS @ combK) = (comb_app @ combK @ r))
% 0.58/0.86 | (member @
% 0.58/0.86 (pair @ combS @
% 0.58/0.86 (ap_contractE_sk2q @ combS @ combK @ ('#_fresh_sk1' @ r))) @
% 0.58/0.86 contract))),
% 0.58/0.86 inference('sup-', [status(thm)], [zip_derived_cl297, zip_derived_cl15])).
% 0.58/0.86 thf(s_contractE, axiom, (~( member @ ( pair @ combS @ R ) @ contract ))).
% 0.58/0.86 thf(zip_derived_cl22, plain,
% 0.58/0.86 (![X0 : $i]: ~ (member @ (pair @ combS @ X0) @ contract)),
% 0.58/0.86 inference('cnf', [status(esa)], [s_contractE])).
% 0.58/0.86 thf(zip_derived_cl347, plain,
% 0.58/0.86 ((((comb_app @ combS @ combK) = (comb_app @ combK @ r))
% 0.58/0.86 | (ap_contractE_c1 @ combS @ combK @ ('#_fresh_sk1' @ r)))),
% 0.58/0.86 inference('clc', [status(thm)], [zip_derived_cl298, zip_derived_cl22])).
% 0.58/0.86 thf(zip_derived_cl9, plain,
% 0.58/0.86 (![X0 : $i, X1 : $i, X2 : $i]:
% 0.58/0.86 (~ (ap_contractE_c1 @ X0 @ X1 @ X2) | ((X0) = (comb_app @ combK @ X2)))),
% 0.58/0.86 inference('cnf', [status(esa)], [ap_contractE4])).
% 0.58/0.86 thf(zip_derived_cl350, plain,
% 0.58/0.86 ((((comb_app @ combS @ combK) = (comb_app @ combK @ r))
% 0.58/0.86 | ((combS) = (comb_app @ combK @ ('#_fresh_sk1' @ r))))),
% 0.58/0.86 inference('sup-', [status(thm)], [zip_derived_cl347, zip_derived_cl9])).
% 0.58/0.86 thf(zip_derived_cl2, plain,
% 0.58/0.86 (![X0 : $i, X1 : $i]: ((combS) != (comb_app @ X0 @ X1))),
% 0.58/0.86 inference('cnf', [status(esa)], [s_app])).
% 0.58/0.86 thf(zip_derived_cl352, plain,
% 0.58/0.86 (((comb_app @ combS @ combK) = (comb_app @ combK @ r))),
% 0.58/0.86 inference('simplify_reflect-', [status(thm)],
% 0.58/0.86 [zip_derived_cl350, zip_derived_cl2])).
% 0.58/0.86 thf(zip_derived_cl25, plain,
% 0.58/0.86 (![X2 : $i, X3 : $i]: (('#_fresh_sk1' @ (comb_app @ X2 @ X3)) = (X2))),
% 0.58/0.86 inference('inj_rec', [status(thm)], [zip_derived_cl3])).
% 0.58/0.86 thf(zip_derived_cl360, plain,
% 0.58/0.86 ((('#_fresh_sk1' @ (comb_app @ combS @ combK)) = (combK))),
% 0.58/0.86 inference('sup+', [status(thm)], [zip_derived_cl352, zip_derived_cl25])).
% 0.58/0.86 thf(zip_derived_cl25, plain,
% 0.58/0.86 (![X2 : $i, X3 : $i]: (('#_fresh_sk1' @ (comb_app @ X2 @ X3)) = (X2))),
% 0.58/0.86 inference('inj_rec', [status(thm)], [zip_derived_cl3])).
% 0.58/0.86 thf(zip_derived_cl364, plain, (((combS) = (combK))),
% 0.58/0.86 inference('demod', [status(thm)], [zip_derived_cl360, zip_derived_cl25])).
% 0.58/0.86 thf(k_s, axiom, (( combK ) != ( combS ))).
% 0.58/0.86 thf(zip_derived_cl0, plain, (((combK) != (combS))),
% 0.58/0.86 inference('cnf', [status(esa)], [k_s])).
% 0.58/0.86 thf(zip_derived_cl365, plain, ($false),
% 0.58/0.86 inference('simplify_reflect-', [status(thm)],
% 0.58/0.86 [zip_derived_cl364, zip_derived_cl0])).
% 0.58/0.86
% 0.58/0.86 % SZS output end Refutation
% 0.58/0.86
% 0.58/0.86
% 0.58/0.86 % Terminating...
% 1.67/0.96 % Runner terminated.
% 1.67/0.97 % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------