TSTP Solution File: SET821-2 by Zipperpin---2.1.9999
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- Process Solution
%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : SET821-2 : TPTP v8.1.2. Released v3.2.0.
% Transfm : NO INFORMATION
% Format : NO INFORMATION
% Command : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.PToCYcFF3I true
% Computer : n004.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 16:16:11 EDT 2023
% Result : Unsatisfiable 1.09s 0.79s
% Output : Refutation 1.09s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.13 % Problem : SET821-2 : TPTP v8.1.2. Released v3.2.0.
% 0.00/0.14 % Command : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.PToCYcFF3I true
% 0.15/0.36 % Computer : n004.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 : Sat Aug 26 14:51:08 EDT 2023
% 0.15/0.36 % CPUTime :
% 0.15/0.36 % Running portfolio for 300 s
% 0.15/0.36 % File : /export/starexec/sandbox2/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
% 0.23/0.63 % Total configuration time : 435
% 0.23/0.63 % Estimated wc time : 1092
% 0.23/0.63 % Estimated cpu time (7 cpus) : 156.0
% 0.23/0.75 % /export/starexec/sandbox2/solver/bin/fo/fo6_bce.sh running for 75s
% 0.23/0.75 % /export/starexec/sandbox2/solver/bin/fo/fo3_bce.sh running for 75s
% 1.09/0.76 % /export/starexec/sandbox2/solver/bin/fo/fo7.sh running for 63s
% 1.09/0.76 % /export/starexec/sandbox2/solver/bin/fo/fo13.sh running for 50s
% 1.09/0.77 % /export/starexec/sandbox2/solver/bin/fo/fo1_av.sh running for 75s
% 1.09/0.77 % /export/starexec/sandbox2/solver/bin/fo/fo5.sh running for 50s
% 1.09/0.77 % /export/starexec/sandbox2/solver/bin/fo/fo4.sh running for 50s
% 1.09/0.79 % Solved by fo/fo6_bce.sh.
% 1.09/0.79 % BCE start: 10
% 1.09/0.79 % BCE eliminated: 0
% 1.09/0.79 % PE start: 10
% 1.09/0.79 logic: eq
% 1.09/0.79 % PE eliminated: 2
% 1.09/0.79 % done 20 iterations in 0.017s
% 1.09/0.79 % SZS status Theorem for '/export/starexec/sandbox2/benchmark/theBenchmark.p'
% 1.09/0.79 % SZS output start Refutation
% 1.09/0.79 thf(tc_set_type, type, tc_set: $i > $i).
% 1.09/0.79 thf(c_in_type, type, c_in: $i > $i > $i > $o).
% 1.09/0.79 thf(v_c_type, type, v_c: $i).
% 1.09/0.79 thf(c_insert_type, type, c_insert: $i > $i > $i > $i).
% 1.09/0.79 thf(class_Orderings_Oorder_type, type, class_Orderings_Oorder: $i > $o).
% 1.09/0.79 thf(c_less_type, type, c_less: $i > $i > $i > $o).
% 1.09/0.79 thf(v_a_type, type, v_a: $i).
% 1.09/0.79 thf(v_b_type, type, v_b: $i).
% 1.09/0.79 thf(tc_IntDef_Oint_type, type, tc_IntDef_Oint: $i).
% 1.09/0.79 thf(c_uminus_type, type, c_uminus: $i > $i > $i).
% 1.09/0.79 thf(cls_Set_OinsertCI_1, axiom,
% 1.09/0.79 (c_in @ V_x @ ( c_insert @ V_x @ V_B @ T_a ) @ T_a)).
% 1.09/0.79 thf(zip_derived_cl4, plain,
% 1.09/0.79 (![X0 : $i, X1 : $i, X2 : $i]:
% 1.09/0.79 (c_in @ X0 @ (c_insert @ X0 @ X1 @ X2) @ X2)),
% 1.09/0.79 inference('cnf', [status(esa)], [cls_Set_OinsertCI_1])).
% 1.09/0.79 thf(zip_derived_cl4, plain,
% 1.09/0.79 (![X0 : $i, X1 : $i, X2 : $i]:
% 1.09/0.79 (c_in @ X0 @ (c_insert @ X0 @ X1 @ X2) @ X2)),
% 1.09/0.79 inference('cnf', [status(esa)], [cls_Set_OinsertCI_1])).
% 1.09/0.79 thf(cls_conjecture_2, conjecture,
% 1.09/0.79 (~( ( c_in @ v_a @ V_U @ tc_IntDef_Oint ) |
% 1.09/0.79 ( ~( c_in @ v_b @ V_U @ tc_IntDef_Oint ) ) |
% 1.09/0.79 ( c_in @ v_c @ V_U @ tc_IntDef_Oint ) ))).
% 1.09/0.79 thf(zf_stmt_0, negated_conjecture,
% 1.09/0.79 (( c_in @ v_a @ V_U @ tc_IntDef_Oint ) |
% 1.09/0.79 ( ~( c_in @ v_b @ V_U @ tc_IntDef_Oint ) ) |
% 1.09/0.79 ( c_in @ v_c @ V_U @ tc_IntDef_Oint )),
% 1.09/0.79 inference('cnf.neg', [status(esa)], [cls_conjecture_2])).
% 1.09/0.79 thf(zip_derived_cl8, plain,
% 1.09/0.79 (![X0 : $i]:
% 1.09/0.79 ( (c_in @ v_a @ X0 @ tc_IntDef_Oint)
% 1.09/0.79 | ~ (c_in @ v_b @ X0 @ tc_IntDef_Oint)
% 1.09/0.79 | (c_in @ v_c @ X0 @ tc_IntDef_Oint))),
% 1.09/0.79 inference('cnf', [status(esa)], [zf_stmt_0])).
% 1.09/0.79 thf(cls_Set_OinsertE_0, axiom,
% 1.09/0.79 (( ~( c_in @ V_a @ ( c_insert @ V_b @ V_A @ T_a ) @ T_a ) ) |
% 1.09/0.79 ( c_in @ V_a @ V_A @ T_a ) | ( ( V_a ) = ( V_b ) ))).
% 1.09/0.79 thf(zip_derived_cl5, plain,
% 1.09/0.79 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 1.09/0.79 (~ (c_in @ X0 @ (c_insert @ X1 @ X2 @ X3) @ X3)
% 1.09/0.79 | (c_in @ X0 @ X2 @ X3)
% 1.09/0.79 | ((X0) = (X1)))),
% 1.09/0.79 inference('cnf', [status(esa)], [cls_Set_OinsertE_0])).
% 1.09/0.79 thf(zip_derived_cl59, plain,
% 1.09/0.79 (![X0 : $i, X1 : $i]:
% 1.09/0.79 (~ (c_in @ v_b @ (c_insert @ X1 @ X0 @ tc_IntDef_Oint) @
% 1.09/0.79 tc_IntDef_Oint)
% 1.09/0.79 | (c_in @ v_a @ (c_insert @ X1 @ X0 @ tc_IntDef_Oint) @
% 1.09/0.79 tc_IntDef_Oint)
% 1.09/0.79 | (c_in @ v_c @ X0 @ tc_IntDef_Oint)
% 1.09/0.79 | ((v_c) = (X1)))),
% 1.09/0.79 inference('s_sup-', [status(thm)], [zip_derived_cl8, zip_derived_cl5])).
% 1.09/0.79 thf(zip_derived_cl66, plain,
% 1.09/0.79 (![X0 : $i]:
% 1.09/0.79 ( (c_in @ v_a @ (c_insert @ v_b @ X0 @ tc_IntDef_Oint) @
% 1.09/0.79 tc_IntDef_Oint)
% 1.09/0.79 | (c_in @ v_c @ X0 @ tc_IntDef_Oint)
% 1.09/0.79 | ((v_c) = (v_b)))),
% 1.09/0.79 inference('s_sup-', [status(thm)], [zip_derived_cl4, zip_derived_cl59])).
% 1.09/0.79 thf(cls_conjecture_1, conjecture, (~( c_less @ v_b @ v_c @ tc_IntDef_Oint ))).
% 1.09/0.79 thf(zf_stmt_1, negated_conjecture, (c_less @ v_b @ v_c @ tc_IntDef_Oint),
% 1.09/0.79 inference('cnf.neg', [status(esa)], [cls_conjecture_1])).
% 1.09/0.79 thf(zip_derived_cl7, plain, ( (c_less @ v_b @ v_c @ tc_IntDef_Oint)),
% 1.09/0.79 inference('cnf', [status(esa)], [zf_stmt_1])).
% 1.09/0.79 thf(clsarity_IntDef__Oint_31, axiom,
% 1.09/0.79 (class_Orderings_Oorder @ tc_IntDef_Oint)).
% 1.09/0.79 thf(zip_derived_cl9, plain, ( (class_Orderings_Oorder @ tc_IntDef_Oint)),
% 1.09/0.79 inference('cnf', [status(esa)], [clsarity_IntDef__Oint_31])).
% 1.09/0.79 thf(cls_Orderings_Oorder__less__irrefl__iff1_0, axiom,
% 1.09/0.79 (( ~( class_Orderings_Oorder @ T_a ) ) | ( ~( c_less @ V_x @ V_x @ T_a ) ))).
% 1.09/0.79 thf(zip_derived_cl0, plain,
% 1.09/0.79 (![X0 : $i, X1 : $i]:
% 1.09/0.79 (~ (class_Orderings_Oorder @ X0) | ~ (c_less @ X1 @ X1 @ X0))),
% 1.09/0.79 inference('cnf', [status(esa)],
% 1.09/0.79 [cls_Orderings_Oorder__less__irrefl__iff1_0])).
% 1.09/0.79 thf(zip_derived_cl44, plain,
% 1.09/0.79 (![X0 : $i]: ~ (c_less @ X0 @ X0 @ tc_IntDef_Oint)),
% 1.09/0.79 inference('dp-resolution', [status(thm)],
% 1.09/0.79 [zip_derived_cl9, zip_derived_cl0])).
% 1.09/0.79 thf(zip_derived_cl50, plain,
% 1.09/0.79 (![X0 : $i]:
% 1.09/0.79 (((v_b) != (X0))
% 1.09/0.79 | ((v_c) != (X0))
% 1.09/0.79 | ((tc_IntDef_Oint) != (tc_IntDef_Oint)))),
% 1.09/0.79 inference('dp-resolution', [status(thm)],
% 1.09/0.79 [zip_derived_cl7, zip_derived_cl44])).
% 1.09/0.79 thf(zip_derived_cl54, plain,
% 1.09/0.79 (![X0 : $i]: (((v_c) != (X0)) | ((v_b) != (X0)))),
% 1.09/0.79 inference('simplify', [status(thm)], [zip_derived_cl50])).
% 1.09/0.79 thf(zip_derived_cl55, plain, (((v_b) != (v_c))),
% 1.09/0.79 inference('eq_res', [status(thm)], [zip_derived_cl54])).
% 1.09/0.79 thf(zip_derived_cl67, plain,
% 1.09/0.79 (![X0 : $i]:
% 1.09/0.79 ( (c_in @ v_a @ (c_insert @ v_b @ X0 @ tc_IntDef_Oint) @
% 1.09/0.79 tc_IntDef_Oint)
% 1.09/0.79 | (c_in @ v_c @ X0 @ tc_IntDef_Oint))),
% 1.09/0.79 inference('simplify_reflect-', [status(thm)],
% 1.09/0.79 [zip_derived_cl66, zip_derived_cl55])).
% 1.09/0.79 thf(zip_derived_cl5, plain,
% 1.09/0.79 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 1.09/0.79 (~ (c_in @ X0 @ (c_insert @ X1 @ X2 @ X3) @ X3)
% 1.09/0.79 | (c_in @ X0 @ X2 @ X3)
% 1.09/0.79 | ((X0) = (X1)))),
% 1.09/0.79 inference('cnf', [status(esa)], [cls_Set_OinsertE_0])).
% 1.09/0.79 thf(zip_derived_cl68, plain,
% 1.09/0.79 (![X0 : $i]:
% 1.09/0.79 ( (c_in @ v_c @ X0 @ tc_IntDef_Oint)
% 1.09/0.79 | (c_in @ v_a @ X0 @ tc_IntDef_Oint)
% 1.09/0.79 | ((v_a) = (v_b)))),
% 1.09/0.79 inference('s_sup-', [status(thm)], [zip_derived_cl67, zip_derived_cl5])).
% 1.09/0.79 thf(cls_conjecture_0, conjecture, (~( c_less @ v_a @ v_b @ tc_IntDef_Oint ))).
% 1.09/0.79 thf(zf_stmt_2, negated_conjecture, (c_less @ v_a @ v_b @ tc_IntDef_Oint),
% 1.09/0.79 inference('cnf.neg', [status(esa)], [cls_conjecture_0])).
% 1.09/0.79 thf(zip_derived_cl6, plain, ( (c_less @ v_a @ v_b @ tc_IntDef_Oint)),
% 1.09/0.79 inference('cnf', [status(esa)], [zf_stmt_2])).
% 1.09/0.79 thf(zip_derived_cl44, plain,
% 1.09/0.79 (![X0 : $i]: ~ (c_less @ X0 @ X0 @ tc_IntDef_Oint)),
% 1.09/0.79 inference('dp-resolution', [status(thm)],
% 1.09/0.79 [zip_derived_cl9, zip_derived_cl0])).
% 1.09/0.79 thf(zip_derived_cl47, plain,
% 1.09/0.79 (![X0 : $i]:
% 1.09/0.79 (((v_a) != (X0))
% 1.09/0.79 | ((v_b) != (X0))
% 1.09/0.79 | ((tc_IntDef_Oint) != (tc_IntDef_Oint)))),
% 1.09/0.79 inference('dp-resolution', [status(thm)],
% 1.09/0.79 [zip_derived_cl6, zip_derived_cl44])).
% 1.09/0.79 thf(zip_derived_cl51, plain,
% 1.09/0.79 (![X0 : $i]: (((v_b) != (X0)) | ((v_a) != (X0)))),
% 1.09/0.79 inference('simplify', [status(thm)], [zip_derived_cl47])).
% 1.09/0.79 thf(zip_derived_cl52, plain, (((v_a) != (v_b))),
% 1.09/0.79 inference('eq_res', [status(thm)], [zip_derived_cl51])).
% 1.09/0.79 thf(zip_derived_cl69, plain,
% 1.09/0.79 (![X0 : $i]:
% 1.09/0.79 ( (c_in @ v_c @ X0 @ tc_IntDef_Oint)
% 1.09/0.79 | (c_in @ v_a @ X0 @ tc_IntDef_Oint))),
% 1.09/0.79 inference('simplify_reflect-', [status(thm)],
% 1.09/0.79 [zip_derived_cl68, zip_derived_cl52])).
% 1.09/0.79 thf(cls_Set_OinsertCI_0, axiom,
% 1.09/0.79 (( ~( c_in @ V_a @ V_B @ T_a ) ) |
% 1.09/0.79 ( c_in @ V_a @ ( c_insert @ V_b @ V_B @ T_a ) @ T_a ))).
% 1.09/0.79 thf(zip_derived_cl3, plain,
% 1.09/0.79 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 1.09/0.79 (~ (c_in @ X0 @ X1 @ X2)
% 1.09/0.79 | (c_in @ X0 @ (c_insert @ X3 @ X1 @ X2) @ X2))),
% 1.09/0.79 inference('cnf', [status(esa)], [cls_Set_OinsertCI_0])).
% 1.09/0.79 thf(zip_derived_cl69, plain,
% 1.09/0.79 (![X0 : $i]:
% 1.09/0.79 ( (c_in @ v_c @ X0 @ tc_IntDef_Oint)
% 1.09/0.79 | (c_in @ v_a @ X0 @ tc_IntDef_Oint))),
% 1.09/0.79 inference('simplify_reflect-', [status(thm)],
% 1.09/0.79 [zip_derived_cl68, zip_derived_cl52])).
% 1.09/0.79 thf(cls_Set_OComplD__dest_0, axiom,
% 1.09/0.79 (( ~( c_in @ V_c @ V_A @ T_a ) ) |
% 1.09/0.79 ( ~( c_in @ V_c @ ( c_uminus @ V_A @ ( tc_set @ T_a ) ) @ T_a ) ))).
% 1.09/0.79 thf(zip_derived_cl1, plain,
% 1.09/0.79 (![X0 : $i, X1 : $i, X2 : $i]:
% 1.09/0.79 (~ (c_in @ X0 @ X1 @ X2)
% 1.09/0.79 | ~ (c_in @ X0 @ (c_uminus @ X1 @ (tc_set @ X2)) @ X2))),
% 1.09/0.79 inference('cnf', [status(esa)], [cls_Set_OComplD__dest_0])).
% 1.09/0.79 thf(zip_derived_cl70, plain,
% 1.09/0.79 (![X0 : $i]:
% 1.09/0.79 ( (c_in @ v_a @ (c_uminus @ X0 @ (tc_set @ tc_IntDef_Oint)) @
% 1.09/0.79 tc_IntDef_Oint)
% 1.09/0.79 | ~ (c_in @ v_c @ X0 @ tc_IntDef_Oint))),
% 1.09/0.79 inference('s_sup-', [status(thm)], [zip_derived_cl69, zip_derived_cl1])).
% 1.09/0.79 thf(zip_derived_cl1, plain,
% 1.09/0.79 (![X0 : $i, X1 : $i, X2 : $i]:
% 1.09/0.79 (~ (c_in @ X0 @ X1 @ X2)
% 1.09/0.79 | ~ (c_in @ X0 @ (c_uminus @ X1 @ (tc_set @ X2)) @ X2))),
% 1.09/0.79 inference('cnf', [status(esa)], [cls_Set_OComplD__dest_0])).
% 1.09/0.79 thf(zip_derived_cl73, plain,
% 1.09/0.79 (![X0 : $i]:
% 1.09/0.79 (~ (c_in @ v_c @ X0 @ tc_IntDef_Oint)
% 1.09/0.79 | ~ (c_in @ v_a @ X0 @ tc_IntDef_Oint))),
% 1.09/0.79 inference('s_sup-', [status(thm)], [zip_derived_cl70, zip_derived_cl1])).
% 1.09/0.79 thf(zip_derived_cl75, plain,
% 1.09/0.79 (![X0 : $i, X1 : $i]:
% 1.09/0.79 (~ (c_in @ v_c @ X0 @ tc_IntDef_Oint)
% 1.09/0.79 | ~ (c_in @ v_a @ (c_insert @ X1 @ X0 @ tc_IntDef_Oint) @
% 1.09/0.79 tc_IntDef_Oint))),
% 1.09/0.79 inference('s_sup-', [status(thm)], [zip_derived_cl3, zip_derived_cl73])).
% 1.09/0.79 thf(zip_derived_cl82, plain,
% 1.09/0.79 (![X0 : $i, X1 : $i]:
% 1.09/0.79 ( (c_in @ v_a @ X0 @ tc_IntDef_Oint)
% 1.09/0.79 | ~ (c_in @ v_a @ (c_insert @ X1 @ X0 @ tc_IntDef_Oint) @
% 1.09/0.79 tc_IntDef_Oint))),
% 1.09/0.79 inference('s_sup-', [status(thm)], [zip_derived_cl69, zip_derived_cl75])).
% 1.09/0.79 thf(zip_derived_cl84, plain,
% 1.09/0.79 (![X0 : $i]: (c_in @ v_a @ X0 @ tc_IntDef_Oint)),
% 1.09/0.79 inference('s_sup-', [status(thm)], [zip_derived_cl4, zip_derived_cl82])).
% 1.09/0.79 thf(zip_derived_cl1, plain,
% 1.09/0.79 (![X0 : $i, X1 : $i, X2 : $i]:
% 1.09/0.79 (~ (c_in @ X0 @ X1 @ X2)
% 1.09/0.79 | ~ (c_in @ X0 @ (c_uminus @ X1 @ (tc_set @ X2)) @ X2))),
% 1.09/0.79 inference('cnf', [status(esa)], [cls_Set_OComplD__dest_0])).
% 1.09/0.79 thf(zip_derived_cl88, plain,
% 1.09/0.79 (![X0 : $i]: ~ (c_in @ v_a @ X0 @ tc_IntDef_Oint)),
% 1.09/0.79 inference('s_sup-', [status(thm)], [zip_derived_cl84, zip_derived_cl1])).
% 1.09/0.79 thf(zip_derived_cl84, plain,
% 1.09/0.79 (![X0 : $i]: (c_in @ v_a @ X0 @ tc_IntDef_Oint)),
% 1.09/0.79 inference('s_sup-', [status(thm)], [zip_derived_cl4, zip_derived_cl82])).
% 1.09/0.79 thf(zip_derived_cl90, plain, ($false),
% 1.09/0.79 inference('demod', [status(thm)], [zip_derived_cl88, zip_derived_cl84])).
% 1.09/0.79
% 1.09/0.79 % SZS output end Refutation
% 1.09/0.79
% 1.09/0.79
% 1.09/0.79 % Terminating...
% 1.71/0.84 % Runner terminated.
% 1.71/0.85 % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------