%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : SET825-1 : TPTP v9.2.0. Released v3.2.0.
% Transfm : none
% Format : tptp:raw
% Command : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.ALqt9wgLCH true
% Computer : n009.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 04:52:55 PM UTC 2025
% Result : Unsatisfiable 9.38s 1.89s
% Output : Refutation 9.38s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.04/0.08 % Problem : SET825-1 : TPTP v9.2.0. Released v3.2.0.
% 0.04/0.09 % Command : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.ALqt9wgLCH true
% 0.08/0.28 % Computer : n009.cluster.edu
% 0.08/0.28 % Model : x86_64 x86_64
% 0.08/0.28 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.28 % Memory : 8042.1875MB
% 0.08/0.28 % OS : Linux 3.10.0-693.el7.x86_64
% 0.08/0.28 % CPULimit : 300
% 0.08/0.28 % WCLimit : 300
% 0.08/0.28 % DateTime : Wed Oct 1 13:18:53 EDT 2025
% 0.08/0.28 % CPUTime :
% 0.08/0.28 % Running portfolio for 300 s
% 0.08/0.28 % File : /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.08/0.28 % Number of cores: 8
% 0.08/0.28 % Python version: Python 3.6.8
% 0.08/0.29 % Running in FO mode
% 0.13/0.49 % Total configuration time : 435
% 0.13/0.49 % Estimated wc time : 1092
% 0.13/0.49 % Estimated cpu time (7 cpus) : 156.0
% 0.79/0.61 % /export/starexec/sandbox2/solver/bin/fo/fo6_bce.sh running for 75s
% 0.79/0.61 % /export/starexec/sandbox2/solver/bin/fo/fo1_av.sh running for 75s
% 0.79/0.61 % /export/starexec/sandbox2/solver/bin/fo/fo3_bce.sh running for 75s
% 0.79/0.61 % /export/starexec/sandbox2/solver/bin/fo/fo7.sh running for 63s
% 0.79/0.62 % /export/starexec/sandbox2/solver/bin/fo/fo5.sh running for 50s
% 0.79/0.62 % /export/starexec/sandbox2/solver/bin/fo/fo13.sh running for 50s
% 1.17/0.67 % /export/starexec/sandbox2/solver/bin/fo/fo4.sh running for 50s
% 9.38/1.89 % Solved by fo/fo5.sh.
% 9.38/1.89 % done 2739 iterations in 1.238s
% 9.38/1.89 % SZS status Theorem for '/export/starexec/sandbox2/benchmark/theBenchmark.p'
% 9.38/1.89 % SZS output start Refutation
% 9.38/1.89 thf(c_in_type, type, c_in: $i > $i > $i > $o).
% 9.38/1.89 thf(v_Q_type, type, v_Q: $i > $o).
% 9.38/1.89 thf(v_n_type, type, v_n: $i).
% 9.38/1.89 thf(tc_prod_type, type, tc_prod: $i > $i > $i).
% 9.38/1.89 thf(v_m_type, type, v_m: $i).
% 9.38/1.89 thf(c_0_type, type, c_0: $i).
% 9.38/1.89 thf(c_Relation_OId_type, type, c_Relation_OId: $i).
% 9.38/1.89 thf(c_Pair_type, type, c_Pair: $i > $i > $i > $i > $i).
% 9.38/1.89 thf(v_xa_type, type, v_xa: $i > $i).
% 9.38/1.89 thf(v_x_type, type, v_x: $i > $i).
% 9.38/1.89 thf(c_Suc_type, type, c_Suc: $i > $i).
% 9.38/1.89 thf(tc_nat_type, type, tc_nat: $i).
% 9.38/1.89 thf(cls_conjecture_1, conjecture, (v_Q @ v_m)).
% 9.38/1.89 thf(zf_stmt_0, negated_conjecture, (~( v_Q @ v_m )),
% 9.38/1.89 inference('cnf.neg', [status(esa)], [cls_conjecture_1])).
% 9.38/1.89 thf(zip_derived_cl1358, plain, (~ (v_Q @ v_m)),
% 9.38/1.89 inference('cnf', [status(esa)], [zf_stmt_0])).
% 9.38/1.89 thf(cls_Relation_OIdI_0, axiom,
% 9.38/1.89 (c_in @
% 9.38/1.89 ( c_Pair @ V_a @ V_a @ T_a @ T_a ) @ c_Relation_OId @
% 9.38/1.89 ( tc_prod @ T_a @ T_a ))).
% 9.38/1.89 thf(zip_derived_cl125, plain,
% 9.38/1.89 (![X0 : $i, X1 : $i]:
% 9.38/1.89 (c_in @ (c_Pair @ X0 @ X0 @ X1 @ X1) @ c_Relation_OId @
% 9.38/1.89 (tc_prod @ X1 @ X1))),
% 9.38/1.89 inference('cnf', [status(esa)], [cls_Relation_OIdI_0])).
% 9.38/1.89 thf(cls_conjecture_2, conjecture,
% 9.38/1.89 (~( ( ~( c_in @
% 9.38/1.89 ( c_Pair @ c_0 @ c_0 @ tc_nat @ tc_nat ) @ V_U @
% 9.38/1.89 ( tc_prod @ tc_nat @ tc_nat ) ) ) |
% 9.38/1.89 ( c_in @
% 9.38/1.89 ( c_Pair @ ( v_x @ V_U ) @ ( v_xa @ V_U ) @ tc_nat @ tc_nat ) @
% 9.38/1.89 V_U @ ( tc_prod @ tc_nat @ tc_nat ) ) |
% 9.38/1.89 ( c_in @
% 9.38/1.89 ( c_Pair @ v_n @ v_m @ tc_nat @ tc_nat ) @ V_U @
% 9.38/1.89 ( tc_prod @ tc_nat @ tc_nat ) ) ))).
% 9.38/1.89 thf(zf_stmt_1, negated_conjecture,
% 9.38/1.89 (( ~( c_in @
% 9.38/1.89 ( c_Pair @ c_0 @ c_0 @ tc_nat @ tc_nat ) @ V_U @
% 9.38/1.89 ( tc_prod @ tc_nat @ tc_nat ) ) ) |
% 9.38/1.89 ( c_in @
% 9.38/1.89 ( c_Pair @ ( v_x @ V_U ) @ ( v_xa @ V_U ) @ tc_nat @ tc_nat ) @ V_U @
% 9.38/1.89 ( tc_prod @ tc_nat @ tc_nat ) ) |
% 9.38/1.89 ( c_in @
% 9.38/1.89 ( c_Pair @ v_n @ v_m @ tc_nat @ tc_nat ) @ V_U @
% 9.38/1.89 ( tc_prod @ tc_nat @ tc_nat ) )),
% 9.38/1.89 inference('cnf.neg', [status(esa)], [cls_conjecture_2])).
% 9.38/1.89 thf(zip_derived_cl1359, plain,
% 9.38/1.89 (![X0 : $i]:
% 9.38/1.89 (~ (c_in @ (c_Pair @ c_0 @ c_0 @ tc_nat @ tc_nat) @ X0 @
% 9.38/1.89 (tc_prod @ tc_nat @ tc_nat))
% 9.38/1.89 | (c_in @ (c_Pair @ (v_x @ X0) @ (v_xa @ X0) @ tc_nat @ tc_nat) @
% 9.38/1.89 X0 @ (tc_prod @ tc_nat @ tc_nat))
% 9.38/1.89 | (c_in @ (c_Pair @ v_n @ v_m @ tc_nat @ tc_nat) @ X0 @
% 9.38/1.89 (tc_prod @ tc_nat @ tc_nat)))),
% 9.38/1.89 inference('cnf', [status(esa)], [zf_stmt_1])).
% 9.38/1.89 thf(zip_derived_cl3743, plain,
% 9.38/1.89 (( (c_in @ (c_Pair @ v_n @ v_m @ tc_nat @ tc_nat) @ c_Relation_OId @
% 9.38/1.89 (tc_prod @ tc_nat @ tc_nat))
% 9.38/1.89 | (c_in @
% 9.38/1.89 (c_Pair @ (v_x @ c_Relation_OId) @ (v_xa @ c_Relation_OId) @
% 9.38/1.89 tc_nat @ tc_nat) @
% 9.38/1.89 c_Relation_OId @ (tc_prod @ tc_nat @ tc_nat)))),
% 9.38/1.89 inference('sup-', [status(thm)], [zip_derived_cl125, zip_derived_cl1359])).
% 9.38/1.89 thf(cls_Relation_Opair__in__Id__conv__iff1_0, axiom,
% 9.38/1.89 (( ~( c_in @
% 9.38/1.89 ( c_Pair @ V_a @ V_b @ T_a @ T_a ) @ c_Relation_OId @
% 9.38/1.89 ( tc_prod @ T_a @ T_a ) ) ) |
% 9.38/1.89 ( ( V_a ) = ( V_b ) ))).
% 9.38/1.89 thf(zip_derived_cl130, plain,
% 9.38/1.89 (![X0 : $i, X1 : $i, X2 : $i]:
% 9.38/1.89 (~ (c_in @ (c_Pair @ X0 @ X1 @ X2 @ X2) @ c_Relation_OId @
% 9.38/1.89 (tc_prod @ X2 @ X2))
% 9.38/1.89 | ((X0) = (X1)))),
% 9.38/1.89 inference('cnf', [status(esa)],
% 9.38/1.89 [cls_Relation_Opair__in__Id__conv__iff1_0])).
% 9.38/1.89 thf(zip_derived_cl3761, plain,
% 9.38/1.89 (( (c_in @ (c_Pair @ v_n @ v_m @ tc_nat @ tc_nat) @ c_Relation_OId @
% 9.38/1.89 (tc_prod @ tc_nat @ tc_nat))
% 9.38/1.89 | ((v_x @ c_Relation_OId) = (v_xa @ c_Relation_OId)))),
% 9.38/1.89 inference('sup-', [status(thm)], [zip_derived_cl3743, zip_derived_cl130])).
% 9.38/1.89 thf(zip_derived_cl130, plain,
% 9.38/1.89 (![X0 : $i, X1 : $i, X2 : $i]:
% 9.38/1.89 (~ (c_in @ (c_Pair @ X0 @ X1 @ X2 @ X2) @ c_Relation_OId @
% 9.38/1.89 (tc_prod @ X2 @ X2))
% 9.38/1.89 | ((X0) = (X1)))),
% 9.38/1.89 inference('cnf', [status(esa)],
% 9.38/1.89 [cls_Relation_Opair__in__Id__conv__iff1_0])).
% 9.38/1.89 thf(zip_derived_cl3777, plain,
% 9.38/1.89 ((((v_x @ c_Relation_OId) = (v_xa @ c_Relation_OId)) | ((v_n) = (v_m)))),
% 9.38/1.89 inference('sup-', [status(thm)], [zip_derived_cl3761, zip_derived_cl130])).
% 9.38/1.89 thf(cls_conjecture_3, conjecture,
% 9.38/1.89 (~( ( ~( c_in @
% 9.38/1.89 ( c_Pair @ c_0 @ c_0 @ tc_nat @ tc_nat ) @ V_U @
% 9.38/1.89 ( tc_prod @ tc_nat @ tc_nat ) ) ) |
% 9.38/1.89 ( ~( c_in @
% 9.38/1.89 ( c_Pair @
% 9.38/1.89 ( c_Suc @ ( v_x @ V_U ) ) @ ( c_Suc @ ( v_xa @ V_U ) ) @
% 9.38/1.89 tc_nat @ tc_nat ) @
% 9.38/1.89 V_U @ ( tc_prod @ tc_nat @ tc_nat ) ) ) |
% 9.38/1.89 ( c_in @
% 9.38/1.89 ( c_Pair @ v_n @ v_m @ tc_nat @ tc_nat ) @ V_U @
% 9.38/1.89 ( tc_prod @ tc_nat @ tc_nat ) ) ))).
% 9.38/1.89 thf(zf_stmt_2, negated_conjecture,
% 9.38/1.89 (( ~( c_in @
% 9.38/1.89 ( c_Pair @ c_0 @ c_0 @ tc_nat @ tc_nat ) @ V_U @
% 9.38/1.89 ( tc_prod @ tc_nat @ tc_nat ) ) ) |
% 9.38/1.89 ( ~( c_in @
% 9.38/1.89 ( c_Pair @
% 9.38/1.89 ( c_Suc @ ( v_x @ V_U ) ) @ ( c_Suc @ ( v_xa @ V_U ) ) @ tc_nat @
% 9.38/1.89 tc_nat ) @
% 9.38/1.89 V_U @ ( tc_prod @ tc_nat @ tc_nat ) ) ) |
% 9.38/1.89 ( c_in @
% 9.38/1.89 ( c_Pair @ v_n @ v_m @ tc_nat @ tc_nat ) @ V_U @
% 9.38/1.89 ( tc_prod @ tc_nat @ tc_nat ) )),
% 9.38/1.89 inference('cnf.neg', [status(esa)], [cls_conjecture_3])).
% 9.38/1.89 thf(zip_derived_cl1360, plain,
% 9.38/1.89 (![X0 : $i]:
% 9.38/1.89 (~ (c_in @ (c_Pair @ c_0 @ c_0 @ tc_nat @ tc_nat) @ X0 @
% 9.38/1.89 (tc_prod @ tc_nat @ tc_nat))
% 9.38/1.89 | ~ (c_in @
% 9.38/1.89 (c_Pair @ (c_Suc @ (v_x @ X0)) @ (c_Suc @ (v_xa @ X0)) @
% 9.38/1.89 tc_nat @ tc_nat) @
% 9.38/1.89 X0 @ (tc_prod @ tc_nat @ tc_nat))
% 9.38/1.89 | (c_in @ (c_Pair @ v_n @ v_m @ tc_nat @ tc_nat) @ X0 @
% 9.38/1.89 (tc_prod @ tc_nat @ tc_nat)))),
% 9.38/1.89 inference('cnf', [status(esa)], [zf_stmt_2])).
% 9.38/1.89 thf(zip_derived_cl3778, plain,
% 9.38/1.89 ((~ (c_in @
% 9.38/1.89 (c_Pair @ (c_Suc @ (v_x @ c_Relation_OId)) @
% 9.38/1.89 (c_Suc @ (v_x @ c_Relation_OId)) @ tc_nat @ tc_nat) @
% 9.38/1.89 c_Relation_OId @ (tc_prod @ tc_nat @ tc_nat))
% 9.38/1.89 | ((v_n) = (v_m))
% 9.38/1.89 | (c_in @ (c_Pair @ v_n @ v_m @ tc_nat @ tc_nat) @ c_Relation_OId @
% 9.38/1.89 (tc_prod @ tc_nat @ tc_nat))
% 9.38/1.89 | ~ (c_in @ (c_Pair @ c_0 @ c_0 @ tc_nat @ tc_nat) @ c_Relation_OId @
% 9.38/1.89 (tc_prod @ tc_nat @ tc_nat)))),
% 9.38/1.89 inference('sup-', [status(thm)], [zip_derived_cl3777, zip_derived_cl1360])).
% 9.38/1.89 thf(zip_derived_cl125, plain,
% 9.38/1.89 (![X0 : $i, X1 : $i]:
% 9.38/1.89 (c_in @ (c_Pair @ X0 @ X0 @ X1 @ X1) @ c_Relation_OId @
% 9.38/1.89 (tc_prod @ X1 @ X1))),
% 9.38/1.89 inference('cnf', [status(esa)], [cls_Relation_OIdI_0])).
% 9.38/1.89 thf(zip_derived_cl125, plain,
% 9.38/1.89 (![X0 : $i, X1 : $i]:
% 9.38/1.89 (c_in @ (c_Pair @ X0 @ X0 @ X1 @ X1) @ c_Relation_OId @
% 9.38/1.89 (tc_prod @ X1 @ X1))),
% 9.38/1.89 inference('cnf', [status(esa)], [cls_Relation_OIdI_0])).
% 9.38/1.89 thf(zip_derived_cl3780, plain,
% 9.38/1.89 ((((v_n) = (v_m))
% 9.38/1.89 | (c_in @ (c_Pair @ v_n @ v_m @ tc_nat @ tc_nat) @ c_Relation_OId @
% 9.38/1.89 (tc_prod @ tc_nat @ tc_nat)))),
% 9.38/1.89 inference('demod', [status(thm)],
% 9.38/1.89 [zip_derived_cl3778, zip_derived_cl125, zip_derived_cl125])).
% 9.38/1.89 thf(zip_derived_cl130, plain,
% 9.38/1.89 (![X0 : $i, X1 : $i, X2 : $i]:
% 9.38/1.89 (~ (c_in @ (c_Pair @ X0 @ X1 @ X2 @ X2) @ c_Relation_OId @
% 9.38/1.89 (tc_prod @ X2 @ X2))
% 9.38/1.89 | ((X0) = (X1)))),
% 9.38/1.89 inference('cnf', [status(esa)],
% 9.38/1.89 [cls_Relation_Opair__in__Id__conv__iff1_0])).
% 9.38/1.89 thf(zip_derived_cl3781, plain, (((v_n) = (v_m))),
% 9.38/1.89 inference('clc', [status(thm)], [zip_derived_cl3780, zip_derived_cl130])).
% 9.38/1.89 thf(cls_conjecture_0, conjecture, (~( v_Q @ v_n ))).
% 9.38/1.89 thf(zf_stmt_3, negated_conjecture, (v_Q @ v_n),
% 9.38/1.89 inference('cnf.neg', [status(esa)], [cls_conjecture_0])).
% 9.38/1.89 thf(zip_derived_cl1357, plain, ( (v_Q @ v_n)),
% 9.38/1.89 inference('cnf', [status(esa)], [zf_stmt_3])).
% 9.38/1.89 thf(zip_derived_cl3782, plain, ($false),
% 9.38/1.89 inference('demod', [status(thm)],
% 9.38/1.89 [zip_derived_cl1358, zip_derived_cl3781, zip_derived_cl1357])).
% 9.38/1.89
% 9.38/1.89 % SZS output end Refutation
% 9.38/1.89
% 9.38/1.89
% 9.38/1.89 % Terminating...
% 9.95/2.05 % Runner terminated.
% 10.00/2.08 % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------