TSTP Solution File: SET834-2 by Zipperpin---2.1.9999
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%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : SET834-2 : 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.Cxhh3ePUuZ true
% Computer : n017.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 16:16:17 EDT 2023
% Result : Unsatisfiable 1.30s 0.75s
% Output : Refutation 1.30s
% Verified :
% SZS Type : -
% Comments :
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%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.10/0.12 % Problem : SET834-2 : TPTP v8.1.2. Released v3.2.0.
% 0.10/0.13 % Command : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.Cxhh3ePUuZ true
% 0.14/0.35 % Computer : n017.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 : Sat Aug 26 09:56:56 EDT 2023
% 0.14/0.35 % CPUTime :
% 0.14/0.35 % Running portfolio for 300 s
% 0.14/0.35 % File : /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.14/0.35 % Number of cores: 8
% 0.14/0.35 % Python version: Python 3.6.8
% 0.14/0.35 % Running in FO mode
% 0.22/0.65 % Total configuration time : 435
% 0.22/0.65 % Estimated wc time : 1092
% 0.22/0.65 % Estimated cpu time (7 cpus) : 156.0
% 0.22/0.71 % /export/starexec/sandbox2/solver/bin/fo/fo6_bce.sh running for 75s
% 0.22/0.73 % /export/starexec/sandbox2/solver/bin/fo/fo3_bce.sh running for 75s
% 1.30/0.75 % /export/starexec/sandbox2/solver/bin/fo/fo7.sh running for 63s
% 1.30/0.75 % Solved by fo/fo6_bce.sh.
% 1.30/0.75 % BCE start: 10
% 1.30/0.75 % BCE eliminated: 0
% 1.30/0.75 % PE start: 10
% 1.30/0.75 logic: neq
% 1.30/0.75 % PE eliminated: 0
% 1.30/0.75 % done 27 iterations in 0.023s
% 1.30/0.75 % SZS status Theorem for '/export/starexec/sandbox2/benchmark/theBenchmark.p'
% 1.30/0.75 % SZS output start Refutation
% 1.30/0.75 thf(c_Main_OsubsetI__1_type, type, c_Main_OsubsetI__1: $i > $i > $i > $i).
% 1.30/0.75 thf(c_in_type, type, c_in: $i > $i > $i > $o).
% 1.30/0.75 thf(t_a_type, type, t_a: $i).
% 1.30/0.75 thf(v_X_type, type, v_X: $i).
% 1.30/0.75 thf(c_union_type, type, c_union: $i > $i > $i > $i).
% 1.30/0.75 thf(v_x_type, type, v_x: $i).
% 1.30/0.75 thf(tc_set_type, type, tc_set: $i > $i).
% 1.30/0.75 thf(c_lessequals_type, type, c_lessequals: $i > $i > $i > $o).
% 1.30/0.75 thf(v_Y_type, type, v_Y: $i).
% 1.30/0.75 thf(v_Z_type, type, v_Z: $i).
% 1.30/0.75 thf(cls_conjecture_3, conjecture, (c_in @ v_x @ v_Z @ t_a)).
% 1.30/0.75 thf(zf_stmt_0, negated_conjecture, (~( c_in @ v_x @ v_Z @ t_a )),
% 1.30/0.75 inference('cnf.neg', [status(esa)], [cls_conjecture_3])).
% 1.30/0.75 thf(zip_derived_cl7, plain, (~ (c_in @ v_x @ v_Z @ t_a)),
% 1.30/0.75 inference('cnf', [status(esa)], [zf_stmt_0])).
% 1.30/0.75 thf(cls_Set_OsubsetI_0, axiom,
% 1.30/0.75 (( c_in @ ( c_Main_OsubsetI__1 @ V_A @ V_B @ T_a ) @ V_A @ T_a ) |
% 1.30/0.75 ( c_lessequals @ V_A @ V_B @ ( tc_set @ T_a ) ))).
% 1.30/0.75 thf(zip_derived_cl4, plain,
% 1.30/0.75 (![X0 : $i, X1 : $i, X2 : $i]:
% 1.30/0.75 ( (c_in @ (c_Main_OsubsetI__1 @ X0 @ X1 @ X2) @ X0 @ X2)
% 1.30/0.75 | (c_lessequals @ X0 @ X1 @ (tc_set @ X2)))),
% 1.30/0.75 inference('cnf', [status(esa)], [cls_Set_OsubsetI_0])).
% 1.30/0.75 thf(cls_Set_OUnCI_1, axiom,
% 1.30/0.75 (( ~( c_in @ V_c @ V_A @ T_a ) ) |
% 1.30/0.75 ( c_in @ V_c @ ( c_union @ V_A @ V_B @ T_a ) @ T_a ))).
% 1.30/0.75 thf(zip_derived_cl1, plain,
% 1.30/0.75 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 1.30/0.75 (~ (c_in @ X0 @ X1 @ X2)
% 1.30/0.75 | (c_in @ X0 @ (c_union @ X1 @ X3 @ X2) @ X2))),
% 1.30/0.75 inference('cnf', [status(esa)], [cls_Set_OUnCI_1])).
% 1.30/0.75 thf(cls_Set_OsubsetI_1, axiom,
% 1.30/0.75 (( ~( c_in @ ( c_Main_OsubsetI__1 @ V_A @ V_B @ T_a ) @ V_B @ T_a ) ) |
% 1.30/0.75 ( c_lessequals @ V_A @ V_B @ ( tc_set @ T_a ) ))).
% 1.30/0.75 thf(zip_derived_cl5, plain,
% 1.30/0.75 (![X0 : $i, X1 : $i, X2 : $i]:
% 1.30/0.75 (~ (c_in @ (c_Main_OsubsetI__1 @ X0 @ X1 @ X2) @ X1 @ X2)
% 1.30/0.75 | (c_lessequals @ X0 @ X1 @ (tc_set @ X2)))),
% 1.30/0.75 inference('cnf', [status(esa)], [cls_Set_OsubsetI_1])).
% 1.30/0.75 thf(zip_derived_cl11, plain,
% 1.30/0.75 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 1.30/0.75 (~ (c_in @
% 1.30/0.75 (c_Main_OsubsetI__1 @ X3 @ (c_union @ X2 @ X1 @ X0) @ X0) @ X2 @
% 1.30/0.75 X0)
% 1.30/0.75 | (c_lessequals @ X3 @ (c_union @ X2 @ X1 @ X0) @ (tc_set @ X0)))),
% 1.30/0.75 inference('s_sup-', [status(thm)], [zip_derived_cl1, zip_derived_cl5])).
% 1.30/0.75 thf(zip_derived_cl27, plain,
% 1.30/0.75 (![X0 : $i, X1 : $i, X2 : $i]:
% 1.30/0.75 ( (c_lessequals @ X1 @ (c_union @ X1 @ X2 @ X0) @ (tc_set @ X0))
% 1.30/0.75 | (c_lessequals @ X1 @ (c_union @ X1 @ X2 @ X0) @ (tc_set @ X0)))),
% 1.30/0.75 inference('s_sup-', [status(thm)], [zip_derived_cl4, zip_derived_cl11])).
% 1.30/0.75 thf(zip_derived_cl28, plain,
% 1.30/0.75 (![X0 : $i, X1 : $i, X2 : $i]:
% 1.30/0.75 (c_lessequals @ X1 @ (c_union @ X1 @ X2 @ X0) @ (tc_set @ X0))),
% 1.30/0.75 inference('simplify', [status(thm)], [zip_derived_cl27])).
% 1.30/0.75 thf(zip_derived_cl4, plain,
% 1.30/0.75 (![X0 : $i, X1 : $i, X2 : $i]:
% 1.30/0.75 ( (c_in @ (c_Main_OsubsetI__1 @ X0 @ X1 @ X2) @ X0 @ X2)
% 1.30/0.75 | (c_lessequals @ X0 @ X1 @ (tc_set @ X2)))),
% 1.30/0.75 inference('cnf', [status(esa)], [cls_Set_OsubsetI_0])).
% 1.30/0.75 thf(cls_Set_OUnCI_0, axiom,
% 1.30/0.75 (( ~( c_in @ V_c @ V_B @ T_a ) ) |
% 1.30/0.75 ( c_in @ V_c @ ( c_union @ V_A @ V_B @ T_a ) @ T_a ))).
% 1.30/0.75 thf(zip_derived_cl0, plain,
% 1.30/0.75 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 1.30/0.75 (~ (c_in @ X0 @ X1 @ X2)
% 1.30/0.75 | (c_in @ X0 @ (c_union @ X3 @ X1 @ X2) @ X2))),
% 1.30/0.75 inference('cnf', [status(esa)], [cls_Set_OUnCI_0])).
% 1.30/0.75 thf(zip_derived_cl5, plain,
% 1.30/0.75 (![X0 : $i, X1 : $i, X2 : $i]:
% 1.30/0.75 (~ (c_in @ (c_Main_OsubsetI__1 @ X0 @ X1 @ X2) @ X1 @ X2)
% 1.30/0.75 | (c_lessequals @ X0 @ X1 @ (tc_set @ X2)))),
% 1.30/0.75 inference('cnf', [status(esa)], [cls_Set_OsubsetI_1])).
% 1.30/0.75 thf(zip_derived_cl10, plain,
% 1.30/0.75 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 1.30/0.75 (~ (c_in @
% 1.30/0.75 (c_Main_OsubsetI__1 @ X3 @ (c_union @ X2 @ X1 @ X0) @ X0) @ X1 @
% 1.30/0.75 X0)
% 1.30/0.75 | (c_lessequals @ X3 @ (c_union @ X2 @ X1 @ X0) @ (tc_set @ X0)))),
% 1.30/0.75 inference('s_sup-', [status(thm)], [zip_derived_cl0, zip_derived_cl5])).
% 1.30/0.75 thf(zip_derived_cl21, plain,
% 1.30/0.75 (![X0 : $i, X1 : $i, X2 : $i]:
% 1.30/0.75 ( (c_lessequals @ X1 @ (c_union @ X2 @ X1 @ X0) @ (tc_set @ X0))
% 1.30/0.75 | (c_lessequals @ X1 @ (c_union @ X2 @ X1 @ X0) @ (tc_set @ X0)))),
% 1.30/0.75 inference('s_sup-', [status(thm)], [zip_derived_cl4, zip_derived_cl10])).
% 1.30/0.75 thf(zip_derived_cl22, plain,
% 1.30/0.75 (![X0 : $i, X1 : $i, X2 : $i]:
% 1.30/0.75 (c_lessequals @ X1 @ (c_union @ X2 @ X1 @ X0) @ (tc_set @ X0))),
% 1.30/0.75 inference('simplify', [status(thm)], [zip_derived_cl21])).
% 1.30/0.75 thf(cls_conjecture_5, conjecture,
% 1.30/0.75 (~( ( ~( c_lessequals @ v_Y @ V_U @ ( tc_set @ t_a ) ) ) |
% 1.30/0.75 ( ~( c_lessequals @ v_Z @ V_U @ ( tc_set @ t_a ) ) ) |
% 1.30/0.75 ( c_lessequals @ v_X @ V_U @ ( tc_set @ t_a ) ) ))).
% 1.30/0.75 thf(zf_stmt_1, negated_conjecture,
% 1.30/0.75 (( ~( c_lessequals @ v_Y @ V_U @ ( tc_set @ t_a ) ) ) |
% 1.30/0.75 ( ~( c_lessequals @ v_Z @ V_U @ ( tc_set @ t_a ) ) ) |
% 1.30/0.75 ( c_lessequals @ v_X @ V_U @ ( tc_set @ t_a ) )),
% 1.30/0.75 inference('cnf.neg', [status(esa)], [cls_conjecture_5])).
% 1.30/0.75 thf(zip_derived_cl9, plain,
% 1.30/0.75 (![X0 : $i]:
% 1.30/0.76 (~ (c_lessequals @ v_Y @ X0 @ (tc_set @ t_a))
% 1.30/0.76 | ~ (c_lessequals @ v_Z @ X0 @ (tc_set @ t_a))
% 1.30/0.76 | (c_lessequals @ v_X @ X0 @ (tc_set @ t_a)))),
% 1.30/0.76 inference('cnf', [status(esa)], [zf_stmt_1])).
% 1.30/0.76 thf(zip_derived_cl24, plain,
% 1.30/0.76 (![X0 : $i]:
% 1.30/0.76 (~ (c_lessequals @ v_Z @ (c_union @ X0 @ v_Y @ t_a) @ (tc_set @ t_a))
% 1.30/0.76 | (c_lessequals @ v_X @ (c_union @ X0 @ v_Y @ t_a) @ (tc_set @ t_a)))),
% 1.30/0.76 inference('s_sup-', [status(thm)], [zip_derived_cl22, zip_derived_cl9])).
% 1.30/0.76 thf(zip_derived_cl46, plain,
% 1.30/0.76 ( (c_lessequals @ v_X @ (c_union @ v_Z @ v_Y @ t_a) @ (tc_set @ t_a))),
% 1.30/0.76 inference('s_sup-', [status(thm)], [zip_derived_cl28, zip_derived_cl24])).
% 1.30/0.76 thf(cls_Set_OsubsetD_0, axiom,
% 1.30/0.76 (( ~( c_in @ V_c @ V_A @ T_a ) ) |
% 1.30/0.76 ( ~( c_lessequals @ V_A @ V_B @ ( tc_set @ T_a ) ) ) |
% 1.30/0.76 ( c_in @ V_c @ V_B @ T_a ))).
% 1.30/0.76 thf(zip_derived_cl3, plain,
% 1.30/0.76 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 1.30/0.76 (~ (c_in @ X0 @ X1 @ X2)
% 1.30/0.76 | ~ (c_lessequals @ X1 @ X3 @ (tc_set @ X2))
% 1.30/0.76 | (c_in @ X0 @ X3 @ X2))),
% 1.30/0.76 inference('cnf', [status(esa)], [cls_Set_OsubsetD_0])).
% 1.30/0.76 thf(zip_derived_cl48, plain,
% 1.30/0.76 (![X0 : $i]:
% 1.30/0.76 (~ (c_in @ X0 @ v_X @ t_a)
% 1.30/0.76 | (c_in @ X0 @ (c_union @ v_Z @ v_Y @ t_a) @ t_a))),
% 1.30/0.76 inference('s_sup-', [status(thm)], [zip_derived_cl46, zip_derived_cl3])).
% 1.30/0.76 thf(cls_Set_OUnE_0, axiom,
% 1.30/0.76 (( ~( c_in @ V_c @ ( c_union @ V_A @ V_B @ T_a ) @ T_a ) ) |
% 1.30/0.76 ( c_in @ V_c @ V_B @ T_a ) | ( c_in @ V_c @ V_A @ T_a ))).
% 1.30/0.76 thf(zip_derived_cl2, plain,
% 1.30/0.76 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 1.30/0.76 (~ (c_in @ X0 @ (c_union @ X1 @ X2 @ X3) @ X3)
% 1.30/0.76 | (c_in @ X0 @ X2 @ X3)
% 1.30/0.76 | (c_in @ X0 @ X1 @ X3))),
% 1.30/0.76 inference('cnf', [status(esa)], [cls_Set_OUnE_0])).
% 1.30/0.76 thf(zip_derived_cl51, plain,
% 1.30/0.76 (![X0 : $i]:
% 1.30/0.76 (~ (c_in @ X0 @ v_X @ t_a)
% 1.30/0.76 | (c_in @ X0 @ v_Y @ t_a)
% 1.30/0.76 | (c_in @ X0 @ v_Z @ t_a))),
% 1.30/0.76 inference('s_sup-', [status(thm)], [zip_derived_cl48, zip_derived_cl2])).
% 1.30/0.76 thf(cls_conjecture_4, conjecture, (c_in @ v_x @ v_Y @ t_a)).
% 1.30/0.76 thf(zf_stmt_2, negated_conjecture, (~( c_in @ v_x @ v_Y @ t_a )),
% 1.30/0.76 inference('cnf.neg', [status(esa)], [cls_conjecture_4])).
% 1.30/0.76 thf(zip_derived_cl8, plain, (~ (c_in @ v_x @ v_Y @ t_a)),
% 1.30/0.76 inference('cnf', [status(esa)], [zf_stmt_2])).
% 1.30/0.76 thf(zip_derived_cl62, plain,
% 1.30/0.76 (( (c_in @ v_x @ v_Z @ t_a) | ~ (c_in @ v_x @ v_X @ t_a))),
% 1.30/0.76 inference('s_sup-', [status(thm)], [zip_derived_cl51, zip_derived_cl8])).
% 1.30/0.76 thf(cls_conjecture_2, conjecture, (~( c_in @ v_x @ v_X @ t_a ))).
% 1.30/0.76 thf(zf_stmt_3, negated_conjecture, (c_in @ v_x @ v_X @ t_a),
% 1.30/0.76 inference('cnf.neg', [status(esa)], [cls_conjecture_2])).
% 1.30/0.76 thf(zip_derived_cl6, plain, ( (c_in @ v_x @ v_X @ t_a)),
% 1.30/0.76 inference('cnf', [status(esa)], [zf_stmt_3])).
% 1.30/0.76 thf(zip_derived_cl63, plain, ( (c_in @ v_x @ v_Z @ t_a)),
% 1.30/0.76 inference('demod', [status(thm)], [zip_derived_cl62, zip_derived_cl6])).
% 1.30/0.76 thf(zip_derived_cl70, plain, ($false),
% 1.30/0.76 inference('demod', [status(thm)], [zip_derived_cl7, zip_derived_cl63])).
% 1.30/0.76
% 1.30/0.76 % SZS output end Refutation
% 1.30/0.76
% 1.30/0.76
% 1.30/0.76 % /export/starexec/sandbox2/solver/bin/fo/fo1_av.sh running for 75s
% 1.30/0.76 % Terminating...
% 1.56/0.86 % Runner terminated.
% 1.56/0.87 % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------