TSTP Solution File: SET865-1 by Zipperpin---2.1.9999
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%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : SET865-1 : 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.8wewtxs097 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 16:16:31 EDT 2023
% Result : Unsatisfiable 7.22s 1.68s
% Output : Refutation 7.22s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.13 % Problem : SET865-1 : TPTP v8.1.2. Released v3.2.0.
% 0.13/0.14 % Command : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.8wewtxs097 true
% 0.14/0.36 % Computer : n004.cluster.edu
% 0.14/0.36 % Model : x86_64 x86_64
% 0.14/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.36 % Memory : 8042.1875MB
% 0.14/0.36 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.36 % CPULimit : 300
% 0.14/0.36 % WCLimit : 300
% 0.14/0.36 % DateTime : Sat Aug 26 15:50:23 EDT 2023
% 0.14/0.36 % CPUTime :
% 0.14/0.36 % Running portfolio for 300 s
% 0.14/0.36 % File : /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.14/0.36 % Number of cores: 8
% 0.14/0.36 % Python version: Python 3.6.8
% 0.14/0.36 % Running in FO mode
% 0.22/0.67 % Total configuration time : 435
% 0.22/0.67 % Estimated wc time : 1092
% 0.22/0.67 % Estimated cpu time (7 cpus) : 156.0
% 0.22/0.74 % /export/starexec/sandbox/solver/bin/fo/fo6_bce.sh running for 75s
% 0.22/0.74 % /export/starexec/sandbox/solver/bin/fo/fo3_bce.sh running for 75s
% 0.22/0.75 % /export/starexec/sandbox/solver/bin/fo/fo1_av.sh running for 75s
% 0.58/0.78 % /export/starexec/sandbox/solver/bin/fo/fo7.sh running for 63s
% 0.58/0.78 % /export/starexec/sandbox/solver/bin/fo/fo13.sh running for 50s
% 0.58/0.78 % /export/starexec/sandbox/solver/bin/fo/fo5.sh running for 50s
% 0.59/0.83 % /export/starexec/sandbox/solver/bin/fo/fo4.sh running for 50s
% 7.22/1.68 % Solved by fo/fo3_bce.sh.
% 7.22/1.68 % BCE start: 140
% 7.22/1.68 % BCE eliminated: 72
% 7.22/1.68 % PE start: 68
% 7.22/1.68 logic: eq
% 7.22/1.68 % PE eliminated: 0
% 7.22/1.68 % done 483 iterations in 0.914s
% 7.22/1.68 % SZS status Theorem for '/export/starexec/sandbox/benchmark/theBenchmark.p'
% 7.22/1.68 % SZS output start Refutation
% 7.22/1.68 thf(c_in_type, type, c_in: $i > $i > $i > $o).
% 7.22/1.68 thf(t_a_type, type, t_a: $i).
% 7.22/1.68 thf(c_Zorn_Ochain_type, type, c_Zorn_Ochain: $i > $i > $i).
% 7.22/1.68 thf(v_S_type, type, v_S: $i).
% 7.22/1.68 thf(tc_set_type, type, tc_set: $i > $i).
% 7.22/1.68 thf(v_x_type, type, v_x: $i > $i).
% 7.22/1.68 thf(c_Zorn_OHausdorff__1_type, type, c_Zorn_OHausdorff__1: $i > $i > $i).
% 7.22/1.68 thf(c_lessequals_type, type, c_lessequals: $i > $i > $i > $o).
% 7.22/1.68 thf(c_Zorn_Omaxchain_type, type, c_Zorn_Omaxchain: $i > $i > $i).
% 7.22/1.68 thf(c_Union_type, type, c_Union: $i > $i > $i).
% 7.22/1.68 thf(cls_Zorn_Omaxchain__subset__chain_0, axiom,
% 7.22/1.68 (c_lessequals @
% 7.22/1.68 ( c_Zorn_Omaxchain @ V_S @ T_a ) @ ( c_Zorn_Ochain @ V_S @ T_a ) @
% 7.22/1.68 ( tc_set @ ( tc_set @ ( tc_set @ T_a ) ) ))).
% 7.22/1.68 thf(zip_derived_cl135, plain,
% 7.22/1.68 (![X0 : $i, X1 : $i]:
% 7.22/1.68 (c_lessequals @ (c_Zorn_Omaxchain @ X0 @ X1) @
% 7.22/1.68 (c_Zorn_Ochain @ X0 @ X1) @ (tc_set @ (tc_set @ (tc_set @ X1))))),
% 7.22/1.68 inference('cnf', [status(esa)], [cls_Zorn_Omaxchain__subset__chain_0])).
% 7.22/1.68 thf(cls_Set_OsubsetD_0, axiom,
% 7.22/1.68 (( ~( c_in @ V_c @ V_A @ T_a ) ) |
% 7.22/1.68 ( ~( c_lessequals @ V_A @ V_B @ ( tc_set @ T_a ) ) ) |
% 7.22/1.68 ( c_in @ V_c @ V_B @ T_a ))).
% 7.22/1.68 thf(zip_derived_cl56, plain,
% 7.22/1.68 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 7.22/1.68 (~ (c_in @ X0 @ X1 @ X2)
% 7.22/1.68 | ~ (c_lessequals @ X1 @ X3 @ (tc_set @ X2))
% 7.22/1.68 | (c_in @ X0 @ X3 @ X2))),
% 7.22/1.68 inference('cnf', [status(esa)], [cls_Set_OsubsetD_0])).
% 7.22/1.68 thf(zip_derived_cl650, plain,
% 7.22/1.68 (![X0 : $i, X1 : $i, X2 : $i]:
% 7.22/1.68 ( (c_in @ X2 @ (c_Zorn_Ochain @ X1 @ X0) @ (tc_set @ (tc_set @ X0)))
% 7.22/1.68 | ~ (c_in @ X2 @ (c_Zorn_Omaxchain @ X1 @ X0) @
% 7.22/1.68 (tc_set @ (tc_set @ X0))))),
% 7.22/1.68 inference('sup-', [status(thm)], [zip_derived_cl135, zip_derived_cl56])).
% 7.22/1.68 thf(cls_conjecture_1, conjecture,
% 7.22/1.68 (~( ( ~( c_in @ V_U @ v_S @ ( tc_set @ t_a ) ) ) |
% 7.22/1.68 ( c_in @ ( v_x @ V_U ) @ v_S @ ( tc_set @ t_a ) ) ))).
% 7.22/1.68 thf(zf_stmt_0, negated_conjecture,
% 7.22/1.68 (( ~( c_in @ V_U @ v_S @ ( tc_set @ t_a ) ) ) |
% 7.22/1.68 ( c_in @ ( v_x @ V_U ) @ v_S @ ( tc_set @ t_a ) )),
% 7.22/1.68 inference('cnf.neg', [status(esa)], [cls_conjecture_1])).
% 7.22/1.68 thf(zip_derived_cl138, plain,
% 7.22/1.68 (![X0 : $i]:
% 7.22/1.68 (~ (c_in @ X0 @ v_S @ (tc_set @ t_a))
% 7.22/1.68 | (c_in @ (v_x @ X0) @ v_S @ (tc_set @ t_a)))),
% 7.22/1.68 inference('cnf', [status(esa)], [zf_stmt_0])).
% 7.22/1.68 thf(cls_Zorn_OHausdorff_0, axiom,
% 7.22/1.68 (c_in @
% 7.22/1.68 ( c_Zorn_OHausdorff__1 @ V_S @ T_a ) @ ( c_Zorn_Omaxchain @ V_S @ T_a ) @
% 7.22/1.68 ( tc_set @ ( tc_set @ T_a ) ))).
% 7.22/1.68 thf(zip_derived_cl133, plain,
% 7.22/1.68 (![X0 : $i, X1 : $i]:
% 7.22/1.68 (c_in @ (c_Zorn_OHausdorff__1 @ X0 @ X1) @
% 7.22/1.68 (c_Zorn_Omaxchain @ X0 @ X1) @ (tc_set @ (tc_set @ X1)))),
% 7.22/1.68 inference('cnf', [status(esa)], [cls_Zorn_OHausdorff_0])).
% 7.22/1.68 thf(cls_Zorn_Omaxchain__Zorn_0, axiom,
% 7.22/1.68 (( ~( c_in @ V_u @ V_S @ ( tc_set @ T_a ) ) ) |
% 7.22/1.68 ( ~( c_in @
% 7.22/1.68 V_c @ ( c_Zorn_Omaxchain @ V_S @ T_a ) @
% 7.22/1.68 ( tc_set @ ( tc_set @ T_a ) ) ) ) |
% 7.22/1.68 ( ~( c_lessequals @ ( c_Union @ V_c @ T_a ) @ V_u @ ( tc_set @ T_a ) ) ) |
% 7.22/1.68 ( ( c_Union @ V_c @ T_a ) = ( V_u ) ))).
% 7.22/1.68 thf(zip_derived_cl134, plain,
% 7.22/1.68 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 7.22/1.68 (~ (c_in @ X0 @ X1 @ (tc_set @ X2))
% 7.22/1.68 | ~ (c_in @ X3 @ (c_Zorn_Omaxchain @ X1 @ X2) @
% 7.22/1.68 (tc_set @ (tc_set @ X2)))
% 7.22/1.68 | ~ (c_lessequals @ (c_Union @ X3 @ X2) @ X0 @ (tc_set @ X2))
% 7.22/1.68 | ((c_Union @ X3 @ X2) = (X0)))),
% 7.22/1.68 inference('cnf', [status(esa)], [cls_Zorn_Omaxchain__Zorn_0])).
% 7.22/1.68 thf(zip_derived_cl671, plain,
% 7.22/1.68 (![X0 : $i, X1 : $i, X2 : $i]:
% 7.22/1.68 (((c_Union @ (c_Zorn_OHausdorff__1 @ X1 @ X0) @ X0) = (X2))
% 7.22/1.68 | ~ (c_lessequals @
% 7.22/1.68 (c_Union @ (c_Zorn_OHausdorff__1 @ X1 @ X0) @ X0) @ X2 @
% 7.22/1.68 (tc_set @ X0))
% 7.22/1.68 | ~ (c_in @ X2 @ X1 @ (tc_set @ X0)))),
% 7.22/1.68 inference('sup-', [status(thm)], [zip_derived_cl133, zip_derived_cl134])).
% 7.22/1.68 thf(cls_conjecture_2, conjecture,
% 7.22/1.68 (~( ( ~( c_in @ V_U @ v_S @ ( tc_set @ t_a ) ) ) |
% 7.22/1.68 ( c_lessequals @ V_U @ ( v_x @ V_U ) @ ( tc_set @ t_a ) ) ))).
% 7.22/1.68 thf(zf_stmt_1, negated_conjecture,
% 7.22/1.68 (( ~( c_in @ V_U @ v_S @ ( tc_set @ t_a ) ) ) |
% 7.22/1.68 ( c_lessequals @ V_U @ ( v_x @ V_U ) @ ( tc_set @ t_a ) )),
% 7.22/1.68 inference('cnf.neg', [status(esa)], [cls_conjecture_2])).
% 7.22/1.68 thf(zip_derived_cl137, plain,
% 7.22/1.68 (![X0 : $i]:
% 7.22/1.68 (~ (c_in @ X0 @ v_S @ (tc_set @ t_a))
% 7.22/1.68 | (c_lessequals @ X0 @ (v_x @ X0) @ (tc_set @ t_a)))),
% 7.22/1.68 inference('cnf', [status(esa)], [zf_stmt_1])).
% 7.22/1.68 thf(zip_derived_cl1494, plain,
% 7.22/1.68 (![X0 : $i]:
% 7.22/1.68 (~ (c_in @
% 7.22/1.68 (v_x @ (c_Union @ (c_Zorn_OHausdorff__1 @ X0 @ t_a) @ t_a)) @
% 7.22/1.68 X0 @ (tc_set @ t_a))
% 7.22/1.68 | ((c_Union @ (c_Zorn_OHausdorff__1 @ X0 @ t_a) @ t_a)
% 7.22/1.68 = (v_x @ (c_Union @ (c_Zorn_OHausdorff__1 @ X0 @ t_a) @ t_a)))
% 7.22/1.68 | ~ (c_in @ (c_Union @ (c_Zorn_OHausdorff__1 @ X0 @ t_a) @ t_a) @
% 7.22/1.68 v_S @ (tc_set @ t_a)))),
% 7.22/1.68 inference('sup+', [status(thm)], [zip_derived_cl671, zip_derived_cl137])).
% 7.22/1.68 thf(cls_conjecture_3, conjecture,
% 7.22/1.68 (~( ( ~( c_in @ V_U @ v_S @ ( tc_set @ t_a ) ) ) |
% 7.22/1.68 ( ( V_U ) != ( v_x @ V_U ) ) ))).
% 7.22/1.68 thf(zf_stmt_2, negated_conjecture,
% 7.22/1.68 (( ~( c_in @ V_U @ v_S @ ( tc_set @ t_a ) ) ) |
% 7.22/1.68 ( ( V_U ) != ( v_x @ V_U ) )),
% 7.22/1.68 inference('cnf.neg', [status(esa)], [cls_conjecture_3])).
% 7.22/1.68 thf(zip_derived_cl136, plain,
% 7.22/1.68 (![X0 : $i]:
% 7.22/1.68 (~ (c_in @ X0 @ v_S @ (tc_set @ t_a)) | ((X0) != (v_x @ X0)))),
% 7.22/1.68 inference('cnf', [status(esa)], [zf_stmt_2])).
% 7.22/1.68 thf(zip_derived_cl1498, plain,
% 7.22/1.68 (![X0 : $i]:
% 7.22/1.68 (~ (c_in @ (c_Union @ (c_Zorn_OHausdorff__1 @ X0 @ t_a) @ t_a) @
% 7.22/1.68 v_S @ (tc_set @ t_a))
% 7.22/1.68 | ~ (c_in @
% 7.22/1.68 (v_x @ (c_Union @ (c_Zorn_OHausdorff__1 @ X0 @ t_a) @ t_a)) @
% 7.22/1.68 X0 @ (tc_set @ t_a)))),
% 7.22/1.68 inference('clc', [status(thm)], [zip_derived_cl1494, zip_derived_cl136])).
% 7.22/1.68 thf(zip_derived_cl1508, plain,
% 7.22/1.68 ((~ (c_in @ (c_Union @ (c_Zorn_OHausdorff__1 @ v_S @ t_a) @ t_a) @ v_S @
% 7.22/1.68 (tc_set @ t_a))
% 7.22/1.68 | ~ (c_in @ (c_Union @ (c_Zorn_OHausdorff__1 @ v_S @ t_a) @ t_a) @
% 7.22/1.68 v_S @ (tc_set @ t_a)))),
% 7.22/1.68 inference('sup-', [status(thm)], [zip_derived_cl138, zip_derived_cl1498])).
% 7.22/1.68 thf(zip_derived_cl1509, plain,
% 7.22/1.68 (~ (c_in @ (c_Union @ (c_Zorn_OHausdorff__1 @ v_S @ t_a) @ t_a) @ v_S @
% 7.22/1.68 (tc_set @ t_a))),
% 7.22/1.68 inference('simplify', [status(thm)], [zip_derived_cl1508])).
% 7.22/1.68 thf(cls_conjecture_0, conjecture,
% 7.22/1.68 (~( ( ~( c_in @
% 7.22/1.68 V_U @ ( c_Zorn_Ochain @ v_S @ t_a ) @
% 7.22/1.68 ( tc_set @ ( tc_set @ t_a ) ) ) ) |
% 7.22/1.68 ( c_in @ ( c_Union @ V_U @ t_a ) @ v_S @ ( tc_set @ t_a ) ) ))).
% 7.22/1.68 thf(zf_stmt_3, negated_conjecture,
% 7.22/1.68 (( ~( c_in @
% 7.22/1.68 V_U @ ( c_Zorn_Ochain @ v_S @ t_a ) @ ( tc_set @ ( tc_set @ t_a ) ) ) ) |
% 7.22/1.68 ( c_in @ ( c_Union @ V_U @ t_a ) @ v_S @ ( tc_set @ t_a ) )),
% 7.22/1.68 inference('cnf.neg', [status(esa)], [cls_conjecture_0])).
% 7.22/1.68 thf(zip_derived_cl139, plain,
% 7.22/1.68 (![X0 : $i]:
% 7.22/1.68 (~ (c_in @ X0 @ (c_Zorn_Ochain @ v_S @ t_a) @
% 7.22/1.68 (tc_set @ (tc_set @ t_a)))
% 7.22/1.68 | (c_in @ (c_Union @ X0 @ t_a) @ v_S @ (tc_set @ t_a)))),
% 7.22/1.68 inference('cnf', [status(esa)], [zf_stmt_3])).
% 7.22/1.68 thf(zip_derived_cl1511, plain,
% 7.22/1.68 (~ (c_in @ (c_Zorn_OHausdorff__1 @ v_S @ t_a) @
% 7.22/1.68 (c_Zorn_Ochain @ v_S @ t_a) @ (tc_set @ (tc_set @ t_a)))),
% 7.22/1.68 inference('sup+', [status(thm)], [zip_derived_cl1509, zip_derived_cl139])).
% 7.22/1.68 thf(zip_derived_cl1514, plain,
% 7.22/1.68 (~ (c_in @ (c_Zorn_OHausdorff__1 @ v_S @ t_a) @
% 7.22/1.68 (c_Zorn_Omaxchain @ v_S @ t_a) @ (tc_set @ (tc_set @ t_a)))),
% 7.22/1.68 inference('sup-', [status(thm)], [zip_derived_cl650, zip_derived_cl1511])).
% 7.22/1.68 thf(zip_derived_cl133, plain,
% 7.22/1.68 (![X0 : $i, X1 : $i]:
% 7.22/1.68 (c_in @ (c_Zorn_OHausdorff__1 @ X0 @ X1) @
% 7.22/1.68 (c_Zorn_Omaxchain @ X0 @ X1) @ (tc_set @ (tc_set @ X1)))),
% 7.22/1.68 inference('cnf', [status(esa)], [cls_Zorn_OHausdorff_0])).
% 7.22/1.68 thf(zip_derived_cl1515, plain, ($false),
% 7.22/1.68 inference('demod', [status(thm)], [zip_derived_cl1514, zip_derived_cl133])).
% 7.22/1.68
% 7.22/1.68 % SZS output end Refutation
% 7.22/1.68
% 7.22/1.68
% 7.22/1.68 % Terminating...
% 7.87/1.80 % Runner terminated.
% 7.87/1.82 % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------