TSTP Solution File: SET825-2 by Zipperpin---2.1.9999
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%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : SET825-2 : 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.euIB4xZAiP true
% Computer : n007.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 16:16:13 EDT 2023
% Result : Unsatisfiable 0.56s 0.75s
% Output : Refutation 0.56s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.13 % Problem : SET825-2 : TPTP v8.1.2. Released v3.2.0.
% 0.07/0.14 % Command : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.euIB4xZAiP true
% 0.15/0.35 % Computer : n007.cluster.edu
% 0.15/0.35 % Model : x86_64 x86_64
% 0.15/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.35 % Memory : 8042.1875MB
% 0.15/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.15/0.35 % CPULimit : 300
% 0.15/0.35 % WCLimit : 300
% 0.15/0.35 % DateTime : Sat Aug 26 10:48:56 EDT 2023
% 0.15/0.35 % CPUTime :
% 0.15/0.35 % Running portfolio for 300 s
% 0.15/0.35 % File : /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.15/0.36 % Number of cores: 8
% 0.15/0.36 % Python version: Python 3.6.8
% 0.15/0.36 % Running in FO mode
% 0.22/0.63 % Total configuration time : 435
% 0.22/0.63 % Estimated wc time : 1092
% 0.22/0.63 % Estimated cpu time (7 cpus) : 156.0
% 0.56/0.72 % /export/starexec/sandbox/solver/bin/fo/fo6_bce.sh running for 75s
% 0.56/0.74 % /export/starexec/sandbox/solver/bin/fo/fo3_bce.sh running for 75s
% 0.56/0.74 % /export/starexec/sandbox/solver/bin/fo/fo7.sh running for 63s
% 0.56/0.74 % /export/starexec/sandbox/solver/bin/fo/fo1_av.sh running for 75s
% 0.56/0.75 % Solved by fo/fo6_bce.sh.
% 0.56/0.75 % BCE start: 6
% 0.56/0.75 % BCE eliminated: 0
% 0.56/0.75 % PE start: 6
% 0.56/0.75 logic: eq
% 0.56/0.75 % PE eliminated: 1
% 0.56/0.75 % done 8 iterations in 0.010s
% 0.56/0.75 % SZS status Theorem for '/export/starexec/sandbox/benchmark/theBenchmark.p'
% 0.56/0.75 % SZS output start Refutation
% 0.56/0.75 thf(v_Q_type, type, v_Q: $i > $o).
% 0.56/0.75 thf(c_in_type, type, c_in: $i > $i > $i > $o).
% 0.56/0.75 thf(c_Relation_OId_type, type, c_Relation_OId: $i).
% 0.56/0.75 thf(v_m_type, type, v_m: $i).
% 0.56/0.75 thf(c_Suc_type, type, c_Suc: $i > $i).
% 0.56/0.75 thf(c_0_type, type, c_0: $i).
% 0.56/0.75 thf(v_x_type, type, v_x: $i > $i).
% 0.56/0.75 thf(v_xa_type, type, v_xa: $i > $i).
% 0.56/0.75 thf(c_Pair_type, type, c_Pair: $i > $i > $i > $i > $i).
% 0.56/0.75 thf(tc_prod_type, type, tc_prod: $i > $i > $i).
% 0.56/0.75 thf(tc_nat_type, type, tc_nat: $i).
% 0.56/0.75 thf(v_n_type, type, v_n: $i).
% 0.56/0.75 thf(cls_Relation_OIdI_0, axiom,
% 0.56/0.75 (c_in @
% 0.56/0.75 ( c_Pair @ V_a @ V_a @ T_a @ T_a ) @ c_Relation_OId @
% 0.56/0.75 ( tc_prod @ T_a @ T_a ))).
% 0.56/0.75 thf(zip_derived_cl0, plain,
% 0.56/0.75 (![X0 : $i, X1 : $i]:
% 0.56/0.75 (c_in @ (c_Pair @ X0 @ X0 @ X1 @ X1) @ c_Relation_OId @
% 0.56/0.75 (tc_prod @ X1 @ X1))),
% 0.56/0.75 inference('cnf', [status(esa)], [cls_Relation_OIdI_0])).
% 0.56/0.75 thf(cls_conjecture_3, conjecture,
% 0.56/0.75 (~( ( ~( c_in @
% 0.56/0.75 ( c_Pair @ c_0 @ c_0 @ tc_nat @ tc_nat ) @ V_U @
% 0.56/0.75 ( tc_prod @ tc_nat @ tc_nat ) ) ) |
% 0.56/0.75 ( ~( c_in @
% 0.56/0.75 ( c_Pair @
% 0.56/0.75 ( c_Suc @ ( v_x @ V_U ) ) @ ( c_Suc @ ( v_xa @ V_U ) ) @
% 0.56/0.75 tc_nat @ tc_nat ) @
% 0.56/0.75 V_U @ ( tc_prod @ tc_nat @ tc_nat ) ) ) |
% 0.56/0.75 ( c_in @
% 0.56/0.75 ( c_Pair @ v_n @ v_m @ tc_nat @ tc_nat ) @ V_U @
% 0.56/0.75 ( tc_prod @ tc_nat @ tc_nat ) ) ))).
% 0.56/0.75 thf(zf_stmt_0, negated_conjecture,
% 0.56/0.75 (( ~( c_in @
% 0.56/0.75 ( c_Pair @ c_0 @ c_0 @ tc_nat @ tc_nat ) @ V_U @
% 0.56/0.75 ( tc_prod @ tc_nat @ tc_nat ) ) ) |
% 0.56/0.75 ( ~( c_in @
% 0.56/0.75 ( c_Pair @
% 0.56/0.75 ( c_Suc @ ( v_x @ V_U ) ) @ ( c_Suc @ ( v_xa @ V_U ) ) @ tc_nat @
% 0.56/0.75 tc_nat ) @
% 0.56/0.75 V_U @ ( tc_prod @ tc_nat @ tc_nat ) ) ) |
% 0.56/0.75 ( c_in @
% 0.56/0.75 ( c_Pair @ v_n @ v_m @ tc_nat @ tc_nat ) @ V_U @
% 0.56/0.75 ( tc_prod @ tc_nat @ tc_nat ) )),
% 0.56/0.75 inference('cnf.neg', [status(esa)], [cls_conjecture_3])).
% 0.56/0.75 thf(zip_derived_cl5, plain,
% 0.56/0.75 (![X0 : $i]:
% 0.56/0.75 (~ (c_in @ (c_Pair @ c_0 @ c_0 @ tc_nat @ tc_nat) @ X0 @
% 0.56/0.75 (tc_prod @ tc_nat @ tc_nat))
% 0.56/0.75 | ~ (c_in @
% 0.56/0.75 (c_Pair @ (c_Suc @ (v_x @ X0)) @ (c_Suc @ (v_xa @ X0)) @
% 0.56/0.75 tc_nat @ tc_nat) @
% 0.56/0.75 X0 @ (tc_prod @ tc_nat @ tc_nat))
% 0.56/0.75 | (c_in @ (c_Pair @ v_n @ v_m @ tc_nat @ tc_nat) @ X0 @
% 0.56/0.75 (tc_prod @ tc_nat @ tc_nat)))),
% 0.56/0.75 inference('cnf', [status(esa)], [zf_stmt_0])).
% 0.56/0.75 thf(zip_derived_cl29, plain,
% 0.56/0.75 ((~ (c_in @
% 0.56/0.75 (c_Pair @ (c_Suc @ (v_x @ c_Relation_OId)) @
% 0.56/0.75 (c_Suc @ (v_xa @ c_Relation_OId)) @ tc_nat @ tc_nat) @
% 0.56/0.75 c_Relation_OId @ (tc_prod @ tc_nat @ tc_nat))
% 0.56/0.75 | (c_in @ (c_Pair @ v_n @ v_m @ tc_nat @ tc_nat) @ c_Relation_OId @
% 0.56/0.75 (tc_prod @ tc_nat @ tc_nat)))),
% 0.56/0.75 inference('s_sup-', [status(thm)], [zip_derived_cl0, zip_derived_cl5])).
% 0.56/0.75 thf(cls_conjecture_2, conjecture,
% 0.56/0.75 (~( ( ~( c_in @
% 0.56/0.75 ( c_Pair @ c_0 @ c_0 @ tc_nat @ tc_nat ) @ V_U @
% 0.56/0.75 ( tc_prod @ tc_nat @ tc_nat ) ) ) |
% 0.56/0.75 ( c_in @
% 0.56/0.75 ( c_Pair @ ( v_x @ V_U ) @ ( v_xa @ V_U ) @ tc_nat @ tc_nat ) @
% 0.56/0.75 V_U @ ( tc_prod @ tc_nat @ tc_nat ) ) |
% 0.56/0.75 ( c_in @
% 0.56/0.75 ( c_Pair @ v_n @ v_m @ tc_nat @ tc_nat ) @ V_U @
% 0.56/0.75 ( tc_prod @ tc_nat @ tc_nat ) ) ))).
% 0.56/0.75 thf(zf_stmt_1, negated_conjecture,
% 0.56/0.75 (( ~( c_in @
% 0.56/0.75 ( c_Pair @ c_0 @ c_0 @ tc_nat @ tc_nat ) @ V_U @
% 0.56/0.75 ( tc_prod @ tc_nat @ tc_nat ) ) ) |
% 0.56/0.75 ( c_in @
% 0.56/0.75 ( c_Pair @ ( v_x @ V_U ) @ ( v_xa @ V_U ) @ tc_nat @ tc_nat ) @ V_U @
% 0.56/0.75 ( tc_prod @ tc_nat @ tc_nat ) ) |
% 0.56/0.75 ( c_in @
% 0.56/0.75 ( c_Pair @ v_n @ v_m @ tc_nat @ tc_nat ) @ V_U @
% 0.56/0.75 ( tc_prod @ tc_nat @ tc_nat ) )),
% 0.56/0.75 inference('cnf.neg', [status(esa)], [cls_conjecture_2])).
% 0.56/0.75 thf(zip_derived_cl4, plain,
% 0.56/0.75 (![X0 : $i]:
% 0.56/0.75 (~ (c_in @ (c_Pair @ c_0 @ c_0 @ tc_nat @ tc_nat) @ X0 @
% 0.56/0.75 (tc_prod @ tc_nat @ tc_nat))
% 0.56/0.75 | (c_in @ (c_Pair @ (v_x @ X0) @ (v_xa @ X0) @ tc_nat @ tc_nat) @
% 0.56/0.75 X0 @ (tc_prod @ tc_nat @ tc_nat))
% 0.56/0.75 | (c_in @ (c_Pair @ v_n @ v_m @ tc_nat @ tc_nat) @ X0 @
% 0.56/0.75 (tc_prod @ tc_nat @ tc_nat)))),
% 0.56/0.75 inference('cnf', [status(esa)], [zf_stmt_1])).
% 0.56/0.75 thf(cls_Relation_Opair__in__Id__conv__iff1_0, axiom,
% 0.56/0.75 (( ~( c_in @
% 0.56/0.75 ( c_Pair @ V_a @ V_b @ T_a @ T_a ) @ c_Relation_OId @
% 0.56/0.75 ( tc_prod @ T_a @ T_a ) ) ) |
% 0.56/0.75 ( ( V_a ) = ( V_b ) ))).
% 0.56/0.75 thf(zip_derived_cl1, plain,
% 0.56/0.75 (![X0 : $i, X1 : $i, X2 : $i]:
% 0.56/0.75 (~ (c_in @ (c_Pair @ X0 @ X1 @ X2 @ X2) @ c_Relation_OId @
% 0.56/0.75 (tc_prod @ X2 @ X2))
% 0.56/0.75 | ((X0) = (X1)))),
% 0.56/0.75 inference('cnf', [status(esa)],
% 0.56/0.75 [cls_Relation_Opair__in__Id__conv__iff1_0])).
% 0.56/0.75 thf(zip_derived_cl31, plain,
% 0.56/0.75 (( (c_in @ (c_Pair @ v_n @ v_m @ tc_nat @ tc_nat) @ c_Relation_OId @
% 0.56/0.75 (tc_prod @ tc_nat @ tc_nat))
% 0.56/0.75 | ~ (c_in @ (c_Pair @ c_0 @ c_0 @ tc_nat @ tc_nat) @ c_Relation_OId @
% 0.56/0.75 (tc_prod @ tc_nat @ tc_nat))
% 0.56/0.75 | ((v_x @ c_Relation_OId) = (v_xa @ c_Relation_OId)))),
% 0.56/0.75 inference('s_sup-', [status(thm)], [zip_derived_cl4, zip_derived_cl1])).
% 0.56/0.75 thf(zip_derived_cl0, plain,
% 0.56/0.75 (![X0 : $i, X1 : $i]:
% 0.56/0.75 (c_in @ (c_Pair @ X0 @ X0 @ X1 @ X1) @ c_Relation_OId @
% 0.56/0.75 (tc_prod @ X1 @ X1))),
% 0.56/0.75 inference('cnf', [status(esa)], [cls_Relation_OIdI_0])).
% 0.56/0.75 thf(zip_derived_cl32, plain,
% 0.56/0.75 (( (c_in @ (c_Pair @ v_n @ v_m @ tc_nat @ tc_nat) @ c_Relation_OId @
% 0.56/0.75 (tc_prod @ tc_nat @ tc_nat))
% 0.56/0.75 | ((v_x @ c_Relation_OId) = (v_xa @ c_Relation_OId)))),
% 0.56/0.75 inference('demod', [status(thm)], [zip_derived_cl31, zip_derived_cl0])).
% 0.56/0.75 thf(zip_derived_cl1, plain,
% 0.56/0.75 (![X0 : $i, X1 : $i, X2 : $i]:
% 0.56/0.75 (~ (c_in @ (c_Pair @ X0 @ X1 @ X2 @ X2) @ c_Relation_OId @
% 0.56/0.75 (tc_prod @ X2 @ X2))
% 0.56/0.75 | ((X0) = (X1)))),
% 0.56/0.75 inference('cnf', [status(esa)],
% 0.56/0.75 [cls_Relation_Opair__in__Id__conv__iff1_0])).
% 0.56/0.75 thf(zip_derived_cl33, plain,
% 0.56/0.75 ((((v_x @ c_Relation_OId) = (v_xa @ c_Relation_OId)) | ((v_n) = (v_m)))),
% 0.56/0.75 inference('s_sup-', [status(thm)], [zip_derived_cl32, zip_derived_cl1])).
% 0.56/0.75 thf(cls_conjecture_0, conjecture, (~( v_Q @ v_n ))).
% 0.56/0.75 thf(zf_stmt_2, negated_conjecture, (v_Q @ v_n),
% 0.56/0.75 inference('cnf.neg', [status(esa)], [cls_conjecture_0])).
% 0.56/0.75 thf(zip_derived_cl2, plain, ( (v_Q @ v_n)),
% 0.56/0.75 inference('cnf', [status(esa)], [zf_stmt_2])).
% 0.56/0.75 thf(cls_conjecture_1, conjecture, (v_Q @ v_m)).
% 0.56/0.75 thf(zf_stmt_3, negated_conjecture, (~( v_Q @ v_m )),
% 0.56/0.75 inference('cnf.neg', [status(esa)], [cls_conjecture_1])).
% 0.56/0.75 thf(zip_derived_cl3, plain, (~ (v_Q @ v_m)),
% 0.56/0.75 inference('cnf', [status(esa)], [zf_stmt_3])).
% 0.56/0.75 thf(zip_derived_cl28, plain, (((v_n) != (v_m))),
% 0.56/0.75 inference('dp-resolution', [status(thm)],
% 0.56/0.75 [zip_derived_cl2, zip_derived_cl3])).
% 0.56/0.75 thf(zip_derived_cl34, plain,
% 0.56/0.75 (((v_x @ c_Relation_OId) = (v_xa @ c_Relation_OId))),
% 0.56/0.75 inference('simplify_reflect-', [status(thm)],
% 0.56/0.75 [zip_derived_cl33, zip_derived_cl28])).
% 0.56/0.75 thf(zip_derived_cl0, plain,
% 0.56/0.75 (![X0 : $i, X1 : $i]:
% 0.56/0.75 (c_in @ (c_Pair @ X0 @ X0 @ X1 @ X1) @ c_Relation_OId @
% 0.56/0.75 (tc_prod @ X1 @ X1))),
% 0.56/0.75 inference('cnf', [status(esa)], [cls_Relation_OIdI_0])).
% 0.56/0.75 thf(zip_derived_cl35, plain,
% 0.56/0.75 ( (c_in @ (c_Pair @ v_n @ v_m @ tc_nat @ tc_nat) @ c_Relation_OId @
% 0.56/0.75 (tc_prod @ tc_nat @ tc_nat))),
% 0.56/0.75 inference('demod', [status(thm)],
% 0.56/0.75 [zip_derived_cl29, zip_derived_cl34, zip_derived_cl0])).
% 0.56/0.75 thf(zip_derived_cl1, plain,
% 0.56/0.75 (![X0 : $i, X1 : $i, X2 : $i]:
% 0.56/0.75 (~ (c_in @ (c_Pair @ X0 @ X1 @ X2 @ X2) @ c_Relation_OId @
% 0.56/0.75 (tc_prod @ X2 @ X2))
% 0.56/0.75 | ((X0) = (X1)))),
% 0.56/0.75 inference('cnf', [status(esa)],
% 0.56/0.75 [cls_Relation_Opair__in__Id__conv__iff1_0])).
% 0.56/0.75 thf(zip_derived_cl38, plain, (((v_n) = (v_m))),
% 0.56/0.75 inference('s_sup-', [status(thm)], [zip_derived_cl35, zip_derived_cl1])).
% 0.56/0.75 thf(zip_derived_cl28, plain, (((v_n) != (v_m))),
% 0.56/0.75 inference('dp-resolution', [status(thm)],
% 0.56/0.75 [zip_derived_cl2, zip_derived_cl3])).
% 0.56/0.75 thf(zip_derived_cl39, plain, ($false),
% 0.56/0.75 inference('simplify_reflect-', [status(thm)],
% 0.56/0.75 [zip_derived_cl38, zip_derived_cl28])).
% 0.56/0.75
% 0.56/0.75 % SZS output end Refutation
% 0.56/0.75
% 0.56/0.75
% 0.56/0.75 % Terminating...
% 0.60/0.85 % Runner terminated.
% 0.60/0.86 % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------