%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : SET821-2 : TPTP v9.2.0. Released v3.2.0.
% Transfm : none
% Format : tptp:raw
% Command : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.HDztc18Vke true
% Computer : n015.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 04:52:54 PM UTC 2025
% Result : Unsatisfiable 0.57s 0.77s
% Output : Refutation 0.57s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.04/0.13 % Problem : SET821-2 : TPTP v9.2.0. Released v3.2.0.
% 0.04/0.14 % Command : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.HDztc18Vke true
% 0.14/0.35 % Computer : n015.cluster.edu
% 0.14/0.35 % Model : x86_64 x86_64
% 0.14/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.35 % Memory : 8042.1875MB
% 0.14/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.35 % CPULimit : 300
% 0.14/0.35 % WCLimit : 300
% 0.14/0.35 % DateTime : Wed Oct 1 13:19:38 EDT 2025
% 0.14/0.35 % CPUTime :
% 0.14/0.35 % Running portfolio for 300 s
% 0.14/0.35 % File : /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.14/0.35 % Number of cores: 8
% 0.14/0.36 % Python version: Python 3.6.8
% 0.14/0.36 % Running in FO mode
% 0.54/0.65 % Total configuration time : 435
% 0.54/0.65 % Estimated wc time : 1092
% 0.54/0.65 % Estimated cpu time (7 cpus) : 156.0
% 0.55/0.71 % /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
% 0.57/0.77 % Solved by fo/fo6_bce.sh.
% 0.57/0.77 % BCE start: 10
% 0.57/0.77 % BCE eliminated: 0
% 0.57/0.77 % PE start: 10
% 0.57/0.77 logic: eq
% 0.57/0.77 % PE eliminated: 2
% 0.57/0.77 % done 20 iterations in 0.030s
% 0.57/0.77 % SZS status Theorem for '/export/starexec/sandbox/benchmark/theBenchmark.p'
% 0.57/0.77 % SZS output start Refutation
% 0.57/0.77 thf(tc_set_type, type, tc_set: $i > $i).
% 0.57/0.77 thf(c_in_type, type, c_in: $i > $i > $i > $o).
% 0.57/0.77 thf(v_c_type, type, v_c: $i).
% 0.57/0.77 thf(c_insert_type, type, c_insert: $i > $i > $i > $i).
% 0.57/0.77 thf(class_Orderings_Oorder_type, type, class_Orderings_Oorder: $i > $o).
% 0.57/0.77 thf(c_less_type, type, c_less: $i > $i > $i > $o).
% 0.57/0.77 thf(v_a_type, type, v_a: $i).
% 0.57/0.77 thf(v_b_type, type, v_b: $i).
% 0.57/0.77 thf(tc_IntDef_Oint_type, type, tc_IntDef_Oint: $i).
% 0.57/0.77 thf(c_uminus_type, type, c_uminus: $i > $i > $i).
% 0.57/0.77 thf(cls_Set_OinsertCI_1, axiom,
% 0.57/0.77 (c_in @ V_x @ ( c_insert @ V_x @ V_B @ T_a ) @ T_a)).
% 0.57/0.77 thf(zip_derived_cl4, plain,
% 0.57/0.77 (![X0 : $i, X1 : $i, X2 : $i]:
% 0.57/0.77 (c_in @ X0 @ (c_insert @ X0 @ X1 @ X2) @ X2)),
% 0.57/0.77 inference('cnf', [status(esa)], [cls_Set_OinsertCI_1])).
% 0.57/0.77 thf(zip_derived_cl4, plain,
% 0.57/0.77 (![X0 : $i, X1 : $i, X2 : $i]:
% 0.57/0.77 (c_in @ X0 @ (c_insert @ X0 @ X1 @ X2) @ X2)),
% 0.57/0.77 inference('cnf', [status(esa)], [cls_Set_OinsertCI_1])).
% 0.57/0.77 thf(cls_conjecture_2, conjecture,
% 0.57/0.77 (~( ( c_in @ v_a @ V_U @ tc_IntDef_Oint ) |
% 0.57/0.77 ( ~( c_in @ v_b @ V_U @ tc_IntDef_Oint ) ) |
% 0.57/0.77 ( c_in @ v_c @ V_U @ tc_IntDef_Oint ) ))).
% 0.57/0.77 thf(zf_stmt_0, negated_conjecture,
% 0.57/0.77 (( c_in @ v_a @ V_U @ tc_IntDef_Oint ) |
% 0.57/0.77 ( ~( c_in @ v_b @ V_U @ tc_IntDef_Oint ) ) |
% 0.57/0.77 ( c_in @ v_c @ V_U @ tc_IntDef_Oint )),
% 0.57/0.77 inference('cnf.neg', [status(esa)], [cls_conjecture_2])).
% 0.57/0.77 thf(zip_derived_cl8, plain,
% 0.57/0.77 (![X0 : $i]:
% 0.57/0.77 ( (c_in @ v_a @ X0 @ tc_IntDef_Oint)
% 0.57/0.77 | ~ (c_in @ v_b @ X0 @ tc_IntDef_Oint)
% 0.57/0.77 | (c_in @ v_c @ X0 @ tc_IntDef_Oint))),
% 0.57/0.77 inference('cnf', [status(esa)], [zf_stmt_0])).
% 0.57/0.77 thf(cls_Set_OinsertE_0, axiom,
% 0.57/0.77 (( ~( c_in @ V_a @ ( c_insert @ V_b @ V_A @ T_a ) @ T_a ) ) |
% 0.57/0.77 ( c_in @ V_a @ V_A @ T_a ) | ( ( V_a ) = ( V_b ) ))).
% 0.57/0.77 thf(zip_derived_cl5, plain,
% 0.57/0.77 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 0.57/0.77 (~ (c_in @ X0 @ (c_insert @ X1 @ X2 @ X3) @ X3)
% 0.57/0.77 | (c_in @ X0 @ X2 @ X3)
% 0.57/0.77 | ((X0) = (X1)))),
% 0.57/0.77 inference('cnf', [status(esa)], [cls_Set_OinsertE_0])).
% 0.57/0.77 thf(zip_derived_cl59, plain,
% 0.57/0.77 (![X0 : $i, X1 : $i]:
% 0.57/0.77 (~ (c_in @ v_b @ (c_insert @ X1 @ X0 @ tc_IntDef_Oint) @
% 0.57/0.77 tc_IntDef_Oint)
% 0.57/0.77 | (c_in @ v_a @ (c_insert @ X1 @ X0 @ tc_IntDef_Oint) @
% 0.57/0.77 tc_IntDef_Oint)
% 0.57/0.77 | (c_in @ v_c @ X0 @ tc_IntDef_Oint)
% 0.57/0.77 | ((v_c) = (X1)))),
% 0.57/0.77 inference('s_sup-', [status(thm)], [zip_derived_cl8, zip_derived_cl5])).
% 0.57/0.77 thf(zip_derived_cl66, plain,
% 0.57/0.77 (![X0 : $i]:
% 0.57/0.77 ( (c_in @ v_a @ (c_insert @ v_b @ X0 @ tc_IntDef_Oint) @
% 0.57/0.77 tc_IntDef_Oint)
% 0.57/0.77 | (c_in @ v_c @ X0 @ tc_IntDef_Oint)
% 0.57/0.77 | ((v_c) = (v_b)))),
% 0.57/0.77 inference('s_sup-', [status(thm)], [zip_derived_cl4, zip_derived_cl59])).
% 0.57/0.77 thf(cls_conjecture_1, conjecture, (~( c_less @ v_b @ v_c @ tc_IntDef_Oint ))).
% 0.57/0.77 thf(zf_stmt_1, negated_conjecture, (c_less @ v_b @ v_c @ tc_IntDef_Oint),
% 0.57/0.77 inference('cnf.neg', [status(esa)], [cls_conjecture_1])).
% 0.57/0.77 thf(zip_derived_cl7, plain, ( (c_less @ v_b @ v_c @ tc_IntDef_Oint)),
% 0.57/0.77 inference('cnf', [status(esa)], [zf_stmt_1])).
% 0.57/0.77 thf(clsarity_IntDef__Oint_31, axiom,
% 0.57/0.77 (class_Orderings_Oorder @ tc_IntDef_Oint)).
% 0.57/0.77 thf(zip_derived_cl9, plain, ( (class_Orderings_Oorder @ tc_IntDef_Oint)),
% 0.57/0.77 inference('cnf', [status(esa)], [clsarity_IntDef__Oint_31])).
% 0.57/0.77 thf(cls_Orderings_Oorder__less__irrefl__iff1_0, axiom,
% 0.57/0.77 (( ~( class_Orderings_Oorder @ T_a ) ) | ( ~( c_less @ V_x @ V_x @ T_a ) ))).
% 0.57/0.77 thf(zip_derived_cl0, plain,
% 0.57/0.77 (![X0 : $i, X1 : $i]:
% 0.57/0.77 (~ (class_Orderings_Oorder @ X0) | ~ (c_less @ X1 @ X1 @ X0))),
% 0.57/0.77 inference('cnf', [status(esa)],
% 0.57/0.77 [cls_Orderings_Oorder__less__irrefl__iff1_0])).
% 0.57/0.77 thf(zip_derived_cl44, plain,
% 0.57/0.77 (![X0 : $i]: ~ (c_less @ X0 @ X0 @ tc_IntDef_Oint)),
% 0.57/0.77 inference('dp-resolution', [status(thm)],
% 0.57/0.77 [zip_derived_cl9, zip_derived_cl0])).
% 0.57/0.77 thf(zip_derived_cl50, plain,
% 0.57/0.77 (![X0 : $i]:
% 0.57/0.77 (((v_b) != (X0))
% 0.57/0.77 | ((v_c) != (X0))
% 0.57/0.77 | ((tc_IntDef_Oint) != (tc_IntDef_Oint)))),
% 0.57/0.77 inference('dp-resolution', [status(thm)],
% 0.57/0.77 [zip_derived_cl7, zip_derived_cl44])).
% 0.57/0.77 thf(zip_derived_cl54, plain,
% 0.57/0.77 (![X0 : $i]: (((v_c) != (X0)) | ((v_b) != (X0)))),
% 0.57/0.77 inference('simplify', [status(thm)], [zip_derived_cl50])).
% 0.57/0.77 thf(zip_derived_cl55, plain, (((v_b) != (v_c))),
% 0.57/0.77 inference('eq_res', [status(thm)], [zip_derived_cl54])).
% 0.57/0.77 thf(zip_derived_cl67, plain,
% 0.57/0.77 (![X0 : $i]:
% 0.57/0.77 ( (c_in @ v_a @ (c_insert @ v_b @ X0 @ tc_IntDef_Oint) @
% 0.57/0.77 tc_IntDef_Oint)
% 0.57/0.77 | (c_in @ v_c @ X0 @ tc_IntDef_Oint))),
% 0.57/0.77 inference('simplify_reflect-', [status(thm)],
% 0.57/0.77 [zip_derived_cl66, zip_derived_cl55])).
% 0.57/0.77 thf(zip_derived_cl5, plain,
% 0.57/0.77 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 0.57/0.77 (~ (c_in @ X0 @ (c_insert @ X1 @ X2 @ X3) @ X3)
% 0.57/0.77 | (c_in @ X0 @ X2 @ X3)
% 0.57/0.77 | ((X0) = (X1)))),
% 0.57/0.77 inference('cnf', [status(esa)], [cls_Set_OinsertE_0])).
% 0.57/0.77 thf(zip_derived_cl68, plain,
% 0.57/0.77 (![X0 : $i]:
% 0.57/0.77 ( (c_in @ v_c @ X0 @ tc_IntDef_Oint)
% 0.57/0.77 | (c_in @ v_a @ X0 @ tc_IntDef_Oint)
% 0.57/0.77 | ((v_a) = (v_b)))),
% 0.57/0.77 inference('s_sup-', [status(thm)], [zip_derived_cl67, zip_derived_cl5])).
% 0.57/0.77 thf(cls_conjecture_0, conjecture, (~( c_less @ v_a @ v_b @ tc_IntDef_Oint ))).
% 0.57/0.77 thf(zf_stmt_2, negated_conjecture, (c_less @ v_a @ v_b @ tc_IntDef_Oint),
% 0.57/0.77 inference('cnf.neg', [status(esa)], [cls_conjecture_0])).
% 0.57/0.77 thf(zip_derived_cl6, plain, ( (c_less @ v_a @ v_b @ tc_IntDef_Oint)),
% 0.57/0.77 inference('cnf', [status(esa)], [zf_stmt_2])).
% 0.57/0.77 thf(zip_derived_cl44, plain,
% 0.57/0.77 (![X0 : $i]: ~ (c_less @ X0 @ X0 @ tc_IntDef_Oint)),
% 0.57/0.77 inference('dp-resolution', [status(thm)],
% 0.57/0.77 [zip_derived_cl9, zip_derived_cl0])).
% 0.57/0.77 thf(zip_derived_cl47, plain,
% 0.57/0.77 (![X0 : $i]:
% 0.57/0.77 (((v_a) != (X0))
% 0.57/0.77 | ((v_b) != (X0))
% 0.57/0.77 | ((tc_IntDef_Oint) != (tc_IntDef_Oint)))),
% 0.57/0.77 inference('dp-resolution', [status(thm)],
% 0.57/0.77 [zip_derived_cl6, zip_derived_cl44])).
% 0.57/0.77 thf(zip_derived_cl51, plain,
% 0.57/0.77 (![X0 : $i]: (((v_b) != (X0)) | ((v_a) != (X0)))),
% 0.57/0.77 inference('simplify', [status(thm)], [zip_derived_cl47])).
% 0.57/0.77 thf(zip_derived_cl52, plain, (((v_a) != (v_b))),
% 0.57/0.77 inference('eq_res', [status(thm)], [zip_derived_cl51])).
% 0.57/0.77 thf(zip_derived_cl69, plain,
% 0.57/0.77 (![X0 : $i]:
% 0.57/0.77 ( (c_in @ v_c @ X0 @ tc_IntDef_Oint)
% 0.57/0.77 | (c_in @ v_a @ X0 @ tc_IntDef_Oint))),
% 0.57/0.77 inference('simplify_reflect-', [status(thm)],
% 0.57/0.77 [zip_derived_cl68, zip_derived_cl52])).
% 0.57/0.77 thf(cls_Set_OinsertCI_0, axiom,
% 0.57/0.77 (( ~( c_in @ V_a @ V_B @ T_a ) ) |
% 0.57/0.77 ( c_in @ V_a @ ( c_insert @ V_b @ V_B @ T_a ) @ T_a ))).
% 0.57/0.77 thf(zip_derived_cl3, plain,
% 0.57/0.77 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 0.57/0.77 (~ (c_in @ X0 @ X1 @ X2)
% 0.57/0.77 | (c_in @ X0 @ (c_insert @ X3 @ X1 @ X2) @ X2))),
% 0.57/0.77 inference('cnf', [status(esa)], [cls_Set_OinsertCI_0])).
% 0.57/0.77 thf(zip_derived_cl69, plain,
% 0.57/0.77 (![X0 : $i]:
% 0.57/0.77 ( (c_in @ v_c @ X0 @ tc_IntDef_Oint)
% 0.57/0.77 | (c_in @ v_a @ X0 @ tc_IntDef_Oint))),
% 0.57/0.77 inference('simplify_reflect-', [status(thm)],
% 0.57/0.77 [zip_derived_cl68, zip_derived_cl52])).
% 0.57/0.77 thf(cls_Set_OComplD__dest_0, axiom,
% 0.57/0.77 (( ~( c_in @ V_c @ V_A @ T_a ) ) |
% 0.57/0.77 ( ~( c_in @ V_c @ ( c_uminus @ V_A @ ( tc_set @ T_a ) ) @ T_a ) ))).
% 0.57/0.77 thf(zip_derived_cl1, plain,
% 0.57/0.77 (![X0 : $i, X1 : $i, X2 : $i]:
% 0.57/0.77 (~ (c_in @ X0 @ X1 @ X2)
% 0.57/0.77 | ~ (c_in @ X0 @ (c_uminus @ X1 @ (tc_set @ X2)) @ X2))),
% 0.57/0.77 inference('cnf', [status(esa)], [cls_Set_OComplD__dest_0])).
% 0.57/0.77 thf(zip_derived_cl70, plain,
% 0.57/0.77 (![X0 : $i]:
% 0.57/0.77 ( (c_in @ v_a @ (c_uminus @ X0 @ (tc_set @ tc_IntDef_Oint)) @
% 0.57/0.77 tc_IntDef_Oint)
% 0.57/0.77 | ~ (c_in @ v_c @ X0 @ tc_IntDef_Oint))),
% 0.57/0.77 inference('s_sup-', [status(thm)], [zip_derived_cl69, zip_derived_cl1])).
% 0.57/0.77 thf(zip_derived_cl1, plain,
% 0.57/0.77 (![X0 : $i, X1 : $i, X2 : $i]:
% 0.57/0.77 (~ (c_in @ X0 @ X1 @ X2)
% 0.57/0.77 | ~ (c_in @ X0 @ (c_uminus @ X1 @ (tc_set @ X2)) @ X2))),
% 0.57/0.77 inference('cnf', [status(esa)], [cls_Set_OComplD__dest_0])).
% 0.57/0.77 thf(zip_derived_cl73, plain,
% 0.57/0.77 (![X0 : $i]:
% 0.57/0.77 (~ (c_in @ v_c @ X0 @ tc_IntDef_Oint)
% 0.57/0.77 | ~ (c_in @ v_a @ X0 @ tc_IntDef_Oint))),
% 0.57/0.77 inference('s_sup-', [status(thm)], [zip_derived_cl70, zip_derived_cl1])).
% 0.57/0.77 thf(zip_derived_cl75, plain,
% 0.57/0.77 (![X0 : $i, X1 : $i]:
% 0.57/0.77 (~ (c_in @ v_c @ X0 @ tc_IntDef_Oint)
% 0.57/0.77 | ~ (c_in @ v_a @ (c_insert @ X1 @ X0 @ tc_IntDef_Oint) @
% 0.57/0.77 tc_IntDef_Oint))),
% 0.57/0.77 inference('s_sup-', [status(thm)], [zip_derived_cl3, zip_derived_cl73])).
% 0.57/0.77 thf(zip_derived_cl82, plain,
% 0.57/0.77 (![X0 : $i, X1 : $i]:
% 0.57/0.77 ( (c_in @ v_a @ X0 @ tc_IntDef_Oint)
% 0.57/0.77 | ~ (c_in @ v_a @ (c_insert @ X1 @ X0 @ tc_IntDef_Oint) @
% 0.57/0.77 tc_IntDef_Oint))),
% 0.57/0.77 inference('s_sup-', [status(thm)], [zip_derived_cl69, zip_derived_cl75])).
% 0.57/0.77 thf(zip_derived_cl84, plain,
% 0.57/0.77 (![X0 : $i]: (c_in @ v_a @ X0 @ tc_IntDef_Oint)),
% 0.57/0.77 inference('s_sup-', [status(thm)], [zip_derived_cl4, zip_derived_cl82])).
% 0.57/0.77 thf(zip_derived_cl1, plain,
% 0.57/0.77 (![X0 : $i, X1 : $i, X2 : $i]:
% 0.57/0.77 (~ (c_in @ X0 @ X1 @ X2)
% 0.57/0.77 | ~ (c_in @ X0 @ (c_uminus @ X1 @ (tc_set @ X2)) @ X2))),
% 0.57/0.77 inference('cnf', [status(esa)], [cls_Set_OComplD__dest_0])).
% 0.57/0.77 thf(zip_derived_cl88, plain,
% 0.57/0.77 (![X0 : $i]: ~ (c_in @ v_a @ X0 @ tc_IntDef_Oint)),
% 0.57/0.77 inference('s_sup-', [status(thm)], [zip_derived_cl84, zip_derived_cl1])).
% 0.57/0.77 thf(zip_derived_cl84, plain,
% 0.57/0.77 (![X0 : $i]: (c_in @ v_a @ X0 @ tc_IntDef_Oint)),
% 0.57/0.77 inference('s_sup-', [status(thm)], [zip_derived_cl4, zip_derived_cl82])).
% 0.57/0.77 thf(zip_derived_cl90, plain, ($false),
% 0.57/0.77 inference('demod', [status(thm)], [zip_derived_cl88, zip_derived_cl84])).
% 0.57/0.77
% 0.57/0.77 % SZS output end Refutation
% 0.57/0.77
% 0.57/0.77
% 0.57/0.77 % Terminating...
% 1.66/0.87 % Runner terminated.
% 1.66/0.88 % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------