TSTP Solution File: SET830-2 by Zipperpin---2.1.9999
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%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : SET830-2 : 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.RZLj0LnZNa true
% Computer : n016.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 16:16:15 EDT 2023
% Result : Unsatisfiable 0.21s 0.77s
% Output : Refutation 0.21s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : SET830-2 : TPTP v8.1.2. Released v3.2.0.
% 0.00/0.13 % Command : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.RZLj0LnZNa true
% 0.13/0.34 % Computer : n016.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 11:20:11 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
% 0.13/0.35 % Python version: Python 3.6.8
% 0.13/0.35 % Running in FO mode
% 0.21/0.67 % Total configuration time : 435
% 0.21/0.67 % Estimated wc time : 1092
% 0.21/0.67 % Estimated cpu time (7 cpus) : 156.0
% 0.21/0.71 % /export/starexec/sandbox/solver/bin/fo/fo6_bce.sh running for 75s
% 0.21/0.71 % /export/starexec/sandbox/solver/bin/fo/fo1_av.sh running for 75s
% 0.21/0.71 % /export/starexec/sandbox/solver/bin/fo/fo3_bce.sh running for 75s
% 0.21/0.73 % /export/starexec/sandbox/solver/bin/fo/fo7.sh running for 63s
% 0.21/0.73 % /export/starexec/sandbox/solver/bin/fo/fo13.sh running for 50s
% 0.21/0.74 % /export/starexec/sandbox/solver/bin/fo/fo5.sh running for 50s
% 0.21/0.77 % /export/starexec/sandbox/solver/bin/fo/fo4.sh running for 50s
% 0.21/0.77 % Solved by fo/fo3_bce.sh.
% 0.21/0.77 % BCE start: 10
% 0.21/0.77 % BCE eliminated: 0
% 0.21/0.77 % PE start: 10
% 0.21/0.77 logic: neq
% 0.21/0.77 % PE eliminated: 0
% 0.21/0.77 % done 41 iterations in 0.031s
% 0.21/0.77 % SZS status Theorem for '/export/starexec/sandbox/benchmark/theBenchmark.p'
% 0.21/0.77 % SZS output start Refutation
% 0.21/0.77 thf(c_Main_OsubsetI__1_type, type, c_Main_OsubsetI__1: $i > $i > $i > $i).
% 0.21/0.77 thf(c_in_type, type, c_in: $i > $i > $i > $o).
% 0.21/0.77 thf(t_a_type, type, t_a: $i).
% 0.21/0.77 thf(c_inter_type, type, c_inter: $i > $i > $i > $i).
% 0.21/0.77 thf(v_Y_type, type, v_Y: $i).
% 0.21/0.77 thf(v_x_type, type, v_x: $i).
% 0.21/0.77 thf(tc_set_type, type, tc_set: $i > $i).
% 0.21/0.77 thf(c_lessequals_type, type, c_lessequals: $i > $i > $i > $o).
% 0.21/0.77 thf(v_X_type, type, v_X: $i).
% 0.21/0.77 thf(v_Z_type, type, v_Z: $i).
% 0.21/0.77 thf(cls_conjecture_4, conjecture, (c_in @ v_x @ v_X @ t_a)).
% 0.21/0.77 thf(zf_stmt_0, negated_conjecture, (~( c_in @ v_x @ v_X @ t_a )),
% 0.21/0.77 inference('cnf.neg', [status(esa)], [cls_conjecture_4])).
% 0.21/0.77 thf(zip_derived_cl8, plain, (~ (c_in @ v_x @ v_X @ t_a)),
% 0.21/0.77 inference('cnf', [status(esa)], [zf_stmt_0])).
% 0.21/0.77 thf(cls_Set_OsubsetI_1, axiom,
% 0.21/0.77 (( ~( c_in @ ( c_Main_OsubsetI__1 @ V_A @ V_B @ T_a ) @ V_B @ T_a ) ) |
% 0.21/0.77 ( c_lessequals @ V_A @ V_B @ ( tc_set @ T_a ) ))).
% 0.21/0.77 thf(zip_derived_cl5, plain,
% 0.21/0.77 (![X0 : $i, X1 : $i, X2 : $i]:
% 0.21/0.77 (~ (c_in @ (c_Main_OsubsetI__1 @ X0 @ X1 @ X2) @ X1 @ X2)
% 0.21/0.77 | (c_lessequals @ X0 @ X1 @ (tc_set @ X2)))),
% 0.21/0.77 inference('cnf', [status(esa)], [cls_Set_OsubsetI_1])).
% 0.21/0.77 thf(cls_Set_OsubsetI_0, axiom,
% 0.21/0.77 (( c_in @ ( c_Main_OsubsetI__1 @ V_A @ V_B @ T_a ) @ V_A @ T_a ) |
% 0.21/0.77 ( c_lessequals @ V_A @ V_B @ ( tc_set @ T_a ) ))).
% 0.21/0.77 thf(zip_derived_cl4, plain,
% 0.21/0.77 (![X0 : $i, X1 : $i, X2 : $i]:
% 0.21/0.77 ( (c_in @ (c_Main_OsubsetI__1 @ X0 @ X1 @ X2) @ X0 @ X2)
% 0.21/0.77 | (c_lessequals @ X0 @ X1 @ (tc_set @ X2)))),
% 0.21/0.77 inference('cnf', [status(esa)], [cls_Set_OsubsetI_0])).
% 0.21/0.77 thf(cls_Set_OIntE_1, axiom,
% 0.21/0.77 (( ~( c_in @ V_c @ ( c_inter @ V_A @ V_B @ T_a ) @ T_a ) ) |
% 0.21/0.77 ( c_in @ V_c @ V_A @ T_a ))).
% 0.21/0.77 thf(zip_derived_cl1, plain,
% 0.21/0.77 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 0.21/0.77 (~ (c_in @ X0 @ (c_inter @ X1 @ X2 @ X3) @ X3)
% 0.21/0.77 | (c_in @ X0 @ X1 @ X3))),
% 0.21/0.77 inference('cnf', [status(esa)], [cls_Set_OIntE_1])).
% 0.21/0.77 thf(zip_derived_cl18, plain,
% 0.21/0.77 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 0.21/0.77 ( (c_lessequals @ (c_inter @ X2 @ X1 @ X0) @ X3 @ (tc_set @ X0))
% 0.21/0.77 | (c_in @
% 0.21/0.77 (c_Main_OsubsetI__1 @ (c_inter @ X2 @ X1 @ X0) @ X3 @ X0) @ X2 @
% 0.21/0.77 X0))),
% 0.21/0.77 inference('sup-', [status(thm)], [zip_derived_cl4, zip_derived_cl1])).
% 0.21/0.77 thf(zip_derived_cl104, plain,
% 0.21/0.77 (![X0 : $i, X1 : $i, X2 : $i]:
% 0.21/0.77 ( (c_lessequals @ (c_inter @ X1 @ X2 @ X0) @ X1 @ (tc_set @ X0))
% 0.21/0.77 | (c_lessequals @ (c_inter @ X1 @ X2 @ X0) @ X1 @ (tc_set @ X0)))),
% 0.21/0.77 inference('sup+', [status(thm)], [zip_derived_cl5, zip_derived_cl18])).
% 0.21/0.77 thf(zip_derived_cl107, plain,
% 0.21/0.77 (![X0 : $i, X1 : $i, X2 : $i]:
% 0.21/0.77 (c_lessequals @ (c_inter @ X1 @ X2 @ X0) @ X1 @ (tc_set @ X0))),
% 0.21/0.77 inference('simplify', [status(thm)], [zip_derived_cl104])).
% 0.21/0.77 thf(zip_derived_cl5, plain,
% 0.21/0.77 (![X0 : $i, X1 : $i, X2 : $i]:
% 0.21/0.77 (~ (c_in @ (c_Main_OsubsetI__1 @ X0 @ X1 @ X2) @ X1 @ X2)
% 0.21/0.77 | (c_lessequals @ X0 @ X1 @ (tc_set @ X2)))),
% 0.21/0.77 inference('cnf', [status(esa)], [cls_Set_OsubsetI_1])).
% 0.21/0.77 thf(zip_derived_cl4, plain,
% 0.21/0.77 (![X0 : $i, X1 : $i, X2 : $i]:
% 0.21/0.77 ( (c_in @ (c_Main_OsubsetI__1 @ X0 @ X1 @ X2) @ X0 @ X2)
% 0.21/0.77 | (c_lessequals @ X0 @ X1 @ (tc_set @ X2)))),
% 0.21/0.77 inference('cnf', [status(esa)], [cls_Set_OsubsetI_0])).
% 0.21/0.77 thf(cls_Set_OIntE_0, axiom,
% 0.21/0.77 (( ~( c_in @ V_c @ ( c_inter @ V_A @ V_B @ T_a ) @ T_a ) ) |
% 0.21/0.77 ( c_in @ V_c @ V_B @ T_a ))).
% 0.21/0.77 thf(zip_derived_cl0, plain,
% 0.21/0.77 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 0.21/0.77 (~ (c_in @ X0 @ (c_inter @ X1 @ X2 @ X3) @ X3)
% 0.21/0.77 | (c_in @ X0 @ X2 @ X3))),
% 0.21/0.77 inference('cnf', [status(esa)], [cls_Set_OIntE_0])).
% 0.21/0.77 thf(zip_derived_cl17, plain,
% 0.21/0.77 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 0.21/0.77 ( (c_lessequals @ (c_inter @ X2 @ X1 @ X0) @ X3 @ (tc_set @ X0))
% 0.21/0.77 | (c_in @
% 0.21/0.77 (c_Main_OsubsetI__1 @ (c_inter @ X2 @ X1 @ X0) @ X3 @ X0) @ X1 @
% 0.21/0.77 X0))),
% 0.21/0.77 inference('sup-', [status(thm)], [zip_derived_cl4, zip_derived_cl0])).
% 0.21/0.77 thf(zip_derived_cl32, plain,
% 0.21/0.77 (![X0 : $i, X1 : $i, X2 : $i]:
% 0.21/0.77 ( (c_lessequals @ (c_inter @ X2 @ X1 @ X0) @ X1 @ (tc_set @ X0))
% 0.21/0.77 | (c_lessequals @ (c_inter @ X2 @ X1 @ X0) @ X1 @ (tc_set @ X0)))),
% 0.21/0.77 inference('sup+', [status(thm)], [zip_derived_cl5, zip_derived_cl17])).
% 0.21/0.77 thf(zip_derived_cl33, plain,
% 0.21/0.77 (![X0 : $i, X1 : $i, X2 : $i]:
% 0.21/0.77 (c_lessequals @ (c_inter @ X2 @ X1 @ X0) @ X1 @ (tc_set @ X0))),
% 0.21/0.77 inference('simplify', [status(thm)], [zip_derived_cl32])).
% 0.21/0.77 thf(cls_conjecture_5, conjecture,
% 0.21/0.77 (~( ( ~( c_lessequals @ V_U @ v_Y @ ( tc_set @ t_a ) ) ) |
% 0.21/0.77 ( ~( c_lessequals @ V_U @ v_Z @ ( tc_set @ t_a ) ) ) |
% 0.21/0.77 ( c_lessequals @ V_U @ v_X @ ( tc_set @ t_a ) ) ))).
% 0.21/0.77 thf(zf_stmt_1, negated_conjecture,
% 0.21/0.77 (( ~( c_lessequals @ V_U @ v_Y @ ( tc_set @ t_a ) ) ) |
% 0.21/0.77 ( ~( c_lessequals @ V_U @ v_Z @ ( tc_set @ t_a ) ) ) |
% 0.21/0.77 ( c_lessequals @ V_U @ v_X @ ( tc_set @ t_a ) )),
% 0.21/0.77 inference('cnf.neg', [status(esa)], [cls_conjecture_5])).
% 0.21/0.77 thf(zip_derived_cl9, plain,
% 0.21/0.77 (![X0 : $i]:
% 0.21/0.77 (~ (c_lessequals @ X0 @ v_Y @ (tc_set @ t_a))
% 0.21/0.77 | ~ (c_lessequals @ X0 @ v_Z @ (tc_set @ t_a))
% 0.21/0.77 | (c_lessequals @ X0 @ v_X @ (tc_set @ t_a)))),
% 0.21/0.77 inference('cnf', [status(esa)], [zf_stmt_1])).
% 0.21/0.77 thf(cls_Set_OsubsetD_0, axiom,
% 0.21/0.77 (( ~( c_in @ V_c @ V_A @ T_a ) ) |
% 0.21/0.77 ( ~( c_lessequals @ V_A @ V_B @ ( tc_set @ T_a ) ) ) |
% 0.21/0.77 ( c_in @ V_c @ V_B @ T_a ))).
% 0.21/0.77 thf(zip_derived_cl3, plain,
% 0.21/0.77 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 0.21/0.77 (~ (c_in @ X0 @ X1 @ X2)
% 0.21/0.77 | ~ (c_lessequals @ X1 @ X3 @ (tc_set @ X2))
% 0.21/0.77 | (c_in @ X0 @ X3 @ X2))),
% 0.21/0.77 inference('cnf', [status(esa)], [cls_Set_OsubsetD_0])).
% 0.21/0.77 thf(zip_derived_cl10, plain,
% 0.21/0.77 (![X0 : $i, X1 : $i]:
% 0.21/0.77 (~ (c_lessequals @ X0 @ v_Z @ (tc_set @ t_a))
% 0.21/0.77 | ~ (c_lessequals @ X0 @ v_Y @ (tc_set @ t_a))
% 0.21/0.77 | (c_in @ X1 @ v_X @ t_a)
% 0.21/0.77 | ~ (c_in @ X1 @ X0 @ t_a))),
% 0.21/0.77 inference('sup-', [status(thm)], [zip_derived_cl9, zip_derived_cl3])).
% 0.21/0.77 thf(zip_derived_cl36, plain,
% 0.21/0.77 (![X0 : $i, X1 : $i]:
% 0.21/0.77 (~ (c_in @ X1 @ (c_inter @ X0 @ v_Z @ t_a) @ t_a)
% 0.21/0.77 | (c_in @ X1 @ v_X @ t_a)
% 0.21/0.77 | ~ (c_lessequals @ (c_inter @ X0 @ v_Z @ t_a) @ v_Y @ (tc_set @ t_a)))),
% 0.21/0.77 inference('sup-', [status(thm)], [zip_derived_cl33, zip_derived_cl10])).
% 0.21/0.77 thf(zip_derived_cl116, plain,
% 0.21/0.77 (![X0 : $i]:
% 0.21/0.77 ( (c_in @ X0 @ v_X @ t_a)
% 0.21/0.77 | ~ (c_in @ X0 @ (c_inter @ v_Y @ v_Z @ t_a) @ t_a))),
% 0.21/0.77 inference('sup-', [status(thm)], [zip_derived_cl107, zip_derived_cl36])).
% 0.21/0.77 thf(cls_Set_OIntI_0, axiom,
% 0.21/0.77 (( ~( c_in @ V_c @ V_B @ T_a ) ) | ( ~( c_in @ V_c @ V_A @ T_a ) ) |
% 0.21/0.77 ( c_in @ V_c @ ( c_inter @ V_A @ V_B @ T_a ) @ T_a ))).
% 0.21/0.77 thf(zip_derived_cl2, plain,
% 0.21/0.77 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 0.21/0.77 (~ (c_in @ X0 @ X1 @ X2)
% 0.21/0.77 | ~ (c_in @ X0 @ X3 @ X2)
% 0.21/0.77 | (c_in @ X0 @ (c_inter @ X3 @ X1 @ X2) @ X2))),
% 0.21/0.77 inference('cnf', [status(esa)], [cls_Set_OIntI_0])).
% 0.21/0.77 thf(zip_derived_cl117, plain,
% 0.21/0.77 (![X0 : $i]:
% 0.21/0.77 ( (c_in @ X0 @ v_X @ t_a)
% 0.21/0.77 | ~ (c_in @ X0 @ v_Y @ t_a)
% 0.21/0.77 | ~ (c_in @ X0 @ v_Z @ t_a))),
% 0.21/0.77 inference('sup+', [status(thm)], [zip_derived_cl116, zip_derived_cl2])).
% 0.21/0.77 thf(zip_derived_cl133, plain,
% 0.21/0.77 ((~ (c_in @ v_x @ v_Z @ t_a) | ~ (c_in @ v_x @ v_Y @ t_a))),
% 0.21/0.77 inference('sup+', [status(thm)], [zip_derived_cl8, zip_derived_cl117])).
% 0.21/0.77 thf(cls_conjecture_3, conjecture, (~( c_in @ v_x @ v_Z @ t_a ))).
% 0.21/0.77 thf(zf_stmt_2, negated_conjecture, (c_in @ v_x @ v_Z @ t_a),
% 0.21/0.77 inference('cnf.neg', [status(esa)], [cls_conjecture_3])).
% 0.21/0.77 thf(zip_derived_cl7, plain, ( (c_in @ v_x @ v_Z @ t_a)),
% 0.21/0.77 inference('cnf', [status(esa)], [zf_stmt_2])).
% 0.21/0.77 thf(cls_conjecture_2, conjecture, (~( c_in @ v_x @ v_Y @ t_a ))).
% 0.21/0.77 thf(zf_stmt_3, negated_conjecture, (c_in @ v_x @ v_Y @ t_a),
% 0.21/0.77 inference('cnf.neg', [status(esa)], [cls_conjecture_2])).
% 0.21/0.77 thf(zip_derived_cl6, plain, ( (c_in @ v_x @ v_Y @ t_a)),
% 0.21/0.77 inference('cnf', [status(esa)], [zf_stmt_3])).
% 0.21/0.77 thf(zip_derived_cl134, plain, ($false),
% 0.21/0.77 inference('demod', [status(thm)],
% 0.21/0.77 [zip_derived_cl133, zip_derived_cl7, zip_derived_cl6])).
% 0.21/0.77
% 0.21/0.77 % SZS output end Refutation
% 0.21/0.77
% 0.21/0.77
% 0.21/0.77 % Terminating...
% 1.29/0.86 % Runner terminated.
% 1.29/0.87 % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------