TSTP Solution File: SET825-1 by Zipperpin---2.1.9999
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%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : SET825-1 : TPTP v8.1.2. Released v3.2.0.
% Transfm : NO INFORMATION
% Format : NO INFORMATION
% Command : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.iQ4vOgdntR true
% Computer : n025.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 Aug 31 16:16:12 EDT 2023
% Result : Unsatisfiable 4.90s 1.45s
% Output : Refutation 4.90s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12 % Problem : SET825-1 : TPTP v8.1.2. Released v3.2.0.
% 0.11/0.13 % Command : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.iQ4vOgdntR true
% 0.13/0.34 % Computer : n025.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % WCLimit : 300
% 0.13/0.34 % DateTime : Sat Aug 26 15:27:38 EDT 2023
% 0.13/0.34 % CPUTime :
% 0.13/0.34 % Running portfolio for 300 s
% 0.13/0.34 % File : /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.13/0.34 % Number of cores: 8
% 0.13/0.34 % Python version: Python 3.6.8
% 0.13/0.35 % Running in FO mode
% 0.20/0.63 % Total configuration time : 435
% 0.20/0.63 % Estimated wc time : 1092
% 0.20/0.63 % Estimated cpu time (7 cpus) : 156.0
% 0.20/0.72 % /export/starexec/sandbox/solver/bin/fo/fo6_bce.sh running for 75s
% 0.20/0.73 % /export/starexec/sandbox/solver/bin/fo/fo3_bce.sh running for 75s
% 0.20/0.73 % /export/starexec/sandbox/solver/bin/fo/fo1_av.sh running for 75s
% 0.20/0.73 % /export/starexec/sandbox/solver/bin/fo/fo7.sh running for 63s
% 0.20/0.73 % /export/starexec/sandbox/solver/bin/fo/fo4.sh running for 50s
% 0.20/0.74 % /export/starexec/sandbox/solver/bin/fo/fo5.sh running for 50s
% 0.20/0.74 % /export/starexec/sandbox/solver/bin/fo/fo13.sh running for 50s
% 4.90/1.45 % Solved by fo/fo5.sh.
% 4.90/1.45 % done 2739 iterations in 0.651s
% 4.90/1.45 % SZS status Theorem for '/export/starexec/sandbox/benchmark/theBenchmark.p'
% 4.90/1.45 % SZS output start Refutation
% 4.90/1.45 thf(c_in_type, type, c_in: $i > $i > $i > $o).
% 4.90/1.45 thf(v_Q_type, type, v_Q: $i > $o).
% 4.90/1.45 thf(v_n_type, type, v_n: $i).
% 4.90/1.45 thf(tc_prod_type, type, tc_prod: $i > $i > $i).
% 4.90/1.45 thf(v_m_type, type, v_m: $i).
% 4.90/1.45 thf(c_0_type, type, c_0: $i).
% 4.90/1.45 thf(c_Relation_OId_type, type, c_Relation_OId: $i).
% 4.90/1.45 thf(c_Pair_type, type, c_Pair: $i > $i > $i > $i > $i).
% 4.90/1.45 thf(v_xa_type, type, v_xa: $i > $i).
% 4.90/1.45 thf(v_x_type, type, v_x: $i > $i).
% 4.90/1.45 thf(c_Suc_type, type, c_Suc: $i > $i).
% 4.90/1.45 thf(tc_nat_type, type, tc_nat: $i).
% 4.90/1.45 thf(cls_conjecture_1, conjecture, (v_Q @ v_m)).
% 4.90/1.45 thf(zf_stmt_0, negated_conjecture, (~( v_Q @ v_m )),
% 4.90/1.45 inference('cnf.neg', [status(esa)], [cls_conjecture_1])).
% 4.90/1.45 thf(zip_derived_cl1358, plain, (~ (v_Q @ v_m)),
% 4.90/1.45 inference('cnf', [status(esa)], [zf_stmt_0])).
% 4.90/1.45 thf(cls_Relation_OIdI_0, axiom,
% 4.90/1.45 (c_in @
% 4.90/1.45 ( c_Pair @ V_a @ V_a @ T_a @ T_a ) @ c_Relation_OId @
% 4.90/1.45 ( tc_prod @ T_a @ T_a ))).
% 4.90/1.45 thf(zip_derived_cl125, plain,
% 4.90/1.45 (![X0 : $i, X1 : $i]:
% 4.90/1.45 (c_in @ (c_Pair @ X0 @ X0 @ X1 @ X1) @ c_Relation_OId @
% 4.90/1.45 (tc_prod @ X1 @ X1))),
% 4.90/1.45 inference('cnf', [status(esa)], [cls_Relation_OIdI_0])).
% 4.90/1.45 thf(cls_conjecture_2, conjecture,
% 4.90/1.45 (~( ( ~( c_in @
% 4.90/1.45 ( c_Pair @ c_0 @ c_0 @ tc_nat @ tc_nat ) @ V_U @
% 4.90/1.45 ( tc_prod @ tc_nat @ tc_nat ) ) ) |
% 4.90/1.45 ( c_in @
% 4.90/1.45 ( c_Pair @ ( v_x @ V_U ) @ ( v_xa @ V_U ) @ tc_nat @ tc_nat ) @
% 4.90/1.45 V_U @ ( tc_prod @ tc_nat @ tc_nat ) ) |
% 4.90/1.45 ( c_in @
% 4.90/1.45 ( c_Pair @ v_n @ v_m @ tc_nat @ tc_nat ) @ V_U @
% 4.90/1.45 ( tc_prod @ tc_nat @ tc_nat ) ) ))).
% 4.90/1.45 thf(zf_stmt_1, negated_conjecture,
% 4.90/1.45 (( ~( c_in @
% 4.90/1.45 ( c_Pair @ c_0 @ c_0 @ tc_nat @ tc_nat ) @ V_U @
% 4.90/1.45 ( tc_prod @ tc_nat @ tc_nat ) ) ) |
% 4.90/1.45 ( c_in @
% 4.90/1.45 ( c_Pair @ ( v_x @ V_U ) @ ( v_xa @ V_U ) @ tc_nat @ tc_nat ) @ V_U @
% 4.90/1.45 ( tc_prod @ tc_nat @ tc_nat ) ) |
% 4.90/1.45 ( c_in @
% 4.90/1.45 ( c_Pair @ v_n @ v_m @ tc_nat @ tc_nat ) @ V_U @
% 4.90/1.45 ( tc_prod @ tc_nat @ tc_nat ) )),
% 4.90/1.45 inference('cnf.neg', [status(esa)], [cls_conjecture_2])).
% 4.90/1.45 thf(zip_derived_cl1359, plain,
% 4.90/1.45 (![X0 : $i]:
% 4.90/1.45 (~ (c_in @ (c_Pair @ c_0 @ c_0 @ tc_nat @ tc_nat) @ X0 @
% 4.90/1.45 (tc_prod @ tc_nat @ tc_nat))
% 4.90/1.45 | (c_in @ (c_Pair @ (v_x @ X0) @ (v_xa @ X0) @ tc_nat @ tc_nat) @
% 4.90/1.45 X0 @ (tc_prod @ tc_nat @ tc_nat))
% 4.90/1.45 | (c_in @ (c_Pair @ v_n @ v_m @ tc_nat @ tc_nat) @ X0 @
% 4.90/1.45 (tc_prod @ tc_nat @ tc_nat)))),
% 4.90/1.45 inference('cnf', [status(esa)], [zf_stmt_1])).
% 4.90/1.45 thf(zip_derived_cl3743, plain,
% 4.90/1.45 (( (c_in @ (c_Pair @ v_n @ v_m @ tc_nat @ tc_nat) @ c_Relation_OId @
% 4.90/1.45 (tc_prod @ tc_nat @ tc_nat))
% 4.90/1.45 | (c_in @
% 4.90/1.45 (c_Pair @ (v_x @ c_Relation_OId) @ (v_xa @ c_Relation_OId) @
% 4.90/1.45 tc_nat @ tc_nat) @
% 4.90/1.45 c_Relation_OId @ (tc_prod @ tc_nat @ tc_nat)))),
% 4.90/1.45 inference('sup-', [status(thm)], [zip_derived_cl125, zip_derived_cl1359])).
% 4.90/1.45 thf(cls_Relation_Opair__in__Id__conv__iff1_0, axiom,
% 4.90/1.45 (( ~( c_in @
% 4.90/1.45 ( c_Pair @ V_a @ V_b @ T_a @ T_a ) @ c_Relation_OId @
% 4.90/1.45 ( tc_prod @ T_a @ T_a ) ) ) |
% 4.90/1.45 ( ( V_a ) = ( V_b ) ))).
% 4.90/1.45 thf(zip_derived_cl130, plain,
% 4.90/1.45 (![X0 : $i, X1 : $i, X2 : $i]:
% 4.90/1.45 (~ (c_in @ (c_Pair @ X0 @ X1 @ X2 @ X2) @ c_Relation_OId @
% 4.90/1.45 (tc_prod @ X2 @ X2))
% 4.90/1.45 | ((X0) = (X1)))),
% 4.90/1.45 inference('cnf', [status(esa)],
% 4.90/1.45 [cls_Relation_Opair__in__Id__conv__iff1_0])).
% 4.90/1.45 thf(zip_derived_cl3761, plain,
% 4.90/1.45 (( (c_in @ (c_Pair @ v_n @ v_m @ tc_nat @ tc_nat) @ c_Relation_OId @
% 4.90/1.45 (tc_prod @ tc_nat @ tc_nat))
% 4.90/1.45 | ((v_x @ c_Relation_OId) = (v_xa @ c_Relation_OId)))),
% 4.90/1.45 inference('sup-', [status(thm)], [zip_derived_cl3743, zip_derived_cl130])).
% 4.90/1.45 thf(zip_derived_cl130, plain,
% 4.90/1.45 (![X0 : $i, X1 : $i, X2 : $i]:
% 4.90/1.45 (~ (c_in @ (c_Pair @ X0 @ X1 @ X2 @ X2) @ c_Relation_OId @
% 4.90/1.45 (tc_prod @ X2 @ X2))
% 4.90/1.45 | ((X0) = (X1)))),
% 4.90/1.45 inference('cnf', [status(esa)],
% 4.90/1.45 [cls_Relation_Opair__in__Id__conv__iff1_0])).
% 4.90/1.45 thf(zip_derived_cl3777, plain,
% 4.90/1.45 ((((v_x @ c_Relation_OId) = (v_xa @ c_Relation_OId)) | ((v_n) = (v_m)))),
% 4.90/1.45 inference('sup-', [status(thm)], [zip_derived_cl3761, zip_derived_cl130])).
% 4.90/1.45 thf(cls_conjecture_3, conjecture,
% 4.90/1.45 (~( ( ~( c_in @
% 4.90/1.45 ( c_Pair @ c_0 @ c_0 @ tc_nat @ tc_nat ) @ V_U @
% 4.90/1.45 ( tc_prod @ tc_nat @ tc_nat ) ) ) |
% 4.90/1.45 ( ~( c_in @
% 4.90/1.45 ( c_Pair @
% 4.90/1.45 ( c_Suc @ ( v_x @ V_U ) ) @ ( c_Suc @ ( v_xa @ V_U ) ) @
% 4.90/1.45 tc_nat @ tc_nat ) @
% 4.90/1.45 V_U @ ( tc_prod @ tc_nat @ tc_nat ) ) ) |
% 4.90/1.45 ( c_in @
% 4.90/1.45 ( c_Pair @ v_n @ v_m @ tc_nat @ tc_nat ) @ V_U @
% 4.90/1.45 ( tc_prod @ tc_nat @ tc_nat ) ) ))).
% 4.90/1.45 thf(zf_stmt_2, negated_conjecture,
% 4.90/1.45 (( ~( c_in @
% 4.90/1.45 ( c_Pair @ c_0 @ c_0 @ tc_nat @ tc_nat ) @ V_U @
% 4.90/1.45 ( tc_prod @ tc_nat @ tc_nat ) ) ) |
% 4.90/1.45 ( ~( c_in @
% 4.90/1.45 ( c_Pair @
% 4.90/1.45 ( c_Suc @ ( v_x @ V_U ) ) @ ( c_Suc @ ( v_xa @ V_U ) ) @ tc_nat @
% 4.90/1.45 tc_nat ) @
% 4.90/1.45 V_U @ ( tc_prod @ tc_nat @ tc_nat ) ) ) |
% 4.90/1.45 ( c_in @
% 4.90/1.45 ( c_Pair @ v_n @ v_m @ tc_nat @ tc_nat ) @ V_U @
% 4.90/1.45 ( tc_prod @ tc_nat @ tc_nat ) )),
% 4.90/1.45 inference('cnf.neg', [status(esa)], [cls_conjecture_3])).
% 4.90/1.45 thf(zip_derived_cl1360, plain,
% 4.90/1.45 (![X0 : $i]:
% 4.90/1.45 (~ (c_in @ (c_Pair @ c_0 @ c_0 @ tc_nat @ tc_nat) @ X0 @
% 4.90/1.45 (tc_prod @ tc_nat @ tc_nat))
% 4.90/1.45 | ~ (c_in @
% 4.90/1.45 (c_Pair @ (c_Suc @ (v_x @ X0)) @ (c_Suc @ (v_xa @ X0)) @
% 4.90/1.45 tc_nat @ tc_nat) @
% 4.90/1.45 X0 @ (tc_prod @ tc_nat @ tc_nat))
% 4.90/1.45 | (c_in @ (c_Pair @ v_n @ v_m @ tc_nat @ tc_nat) @ X0 @
% 4.90/1.45 (tc_prod @ tc_nat @ tc_nat)))),
% 4.90/1.45 inference('cnf', [status(esa)], [zf_stmt_2])).
% 4.90/1.45 thf(zip_derived_cl3778, plain,
% 4.90/1.45 ((~ (c_in @
% 4.90/1.45 (c_Pair @ (c_Suc @ (v_x @ c_Relation_OId)) @
% 4.90/1.45 (c_Suc @ (v_x @ c_Relation_OId)) @ tc_nat @ tc_nat) @
% 4.90/1.45 c_Relation_OId @ (tc_prod @ tc_nat @ tc_nat))
% 4.90/1.45 | ((v_n) = (v_m))
% 4.90/1.45 | (c_in @ (c_Pair @ v_n @ v_m @ tc_nat @ tc_nat) @ c_Relation_OId @
% 4.90/1.45 (tc_prod @ tc_nat @ tc_nat))
% 4.90/1.45 | ~ (c_in @ (c_Pair @ c_0 @ c_0 @ tc_nat @ tc_nat) @ c_Relation_OId @
% 4.90/1.45 (tc_prod @ tc_nat @ tc_nat)))),
% 4.90/1.45 inference('sup-', [status(thm)], [zip_derived_cl3777, zip_derived_cl1360])).
% 4.90/1.45 thf(zip_derived_cl125, plain,
% 4.90/1.45 (![X0 : $i, X1 : $i]:
% 4.90/1.45 (c_in @ (c_Pair @ X0 @ X0 @ X1 @ X1) @ c_Relation_OId @
% 4.90/1.45 (tc_prod @ X1 @ X1))),
% 4.90/1.45 inference('cnf', [status(esa)], [cls_Relation_OIdI_0])).
% 4.90/1.45 thf(zip_derived_cl125, plain,
% 4.90/1.45 (![X0 : $i, X1 : $i]:
% 4.90/1.45 (c_in @ (c_Pair @ X0 @ X0 @ X1 @ X1) @ c_Relation_OId @
% 4.90/1.45 (tc_prod @ X1 @ X1))),
% 4.90/1.45 inference('cnf', [status(esa)], [cls_Relation_OIdI_0])).
% 4.90/1.45 thf(zip_derived_cl3780, plain,
% 4.90/1.45 ((((v_n) = (v_m))
% 4.90/1.45 | (c_in @ (c_Pair @ v_n @ v_m @ tc_nat @ tc_nat) @ c_Relation_OId @
% 4.90/1.45 (tc_prod @ tc_nat @ tc_nat)))),
% 4.90/1.45 inference('demod', [status(thm)],
% 4.90/1.45 [zip_derived_cl3778, zip_derived_cl125, zip_derived_cl125])).
% 4.90/1.45 thf(zip_derived_cl130, plain,
% 4.90/1.45 (![X0 : $i, X1 : $i, X2 : $i]:
% 4.90/1.45 (~ (c_in @ (c_Pair @ X0 @ X1 @ X2 @ X2) @ c_Relation_OId @
% 4.90/1.45 (tc_prod @ X2 @ X2))
% 4.90/1.45 | ((X0) = (X1)))),
% 4.90/1.45 inference('cnf', [status(esa)],
% 4.90/1.45 [cls_Relation_Opair__in__Id__conv__iff1_0])).
% 4.90/1.45 thf(zip_derived_cl3781, plain, (((v_n) = (v_m))),
% 4.90/1.45 inference('clc', [status(thm)], [zip_derived_cl3780, zip_derived_cl130])).
% 4.90/1.45 thf(cls_conjecture_0, conjecture, (~( v_Q @ v_n ))).
% 4.90/1.45 thf(zf_stmt_3, negated_conjecture, (v_Q @ v_n),
% 4.90/1.45 inference('cnf.neg', [status(esa)], [cls_conjecture_0])).
% 4.90/1.45 thf(zip_derived_cl1357, plain, ( (v_Q @ v_n)),
% 4.90/1.45 inference('cnf', [status(esa)], [zf_stmt_3])).
% 4.90/1.45 thf(zip_derived_cl3782, plain, ($false),
% 4.90/1.45 inference('demod', [status(thm)],
% 4.90/1.45 [zip_derived_cl1358, zip_derived_cl3781, zip_derived_cl1357])).
% 4.90/1.45
% 4.90/1.45 % SZS output end Refutation
% 4.90/1.45
% 4.90/1.45
% 4.90/1.45 % Terminating...
% 6.37/1.53 % Runner terminated.
% 6.37/1.54 % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------