TSTP Solution File: SET839-1 by Zipperpin---2.1.9999
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%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : SET839-1 : 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.mcjTA51BtX true
% Computer : n019.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 16:16:19 EDT 2023
% Result : Unsatisfiable 20.73s 3.57s
% Output : Refutation 20.73s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : SET839-1 : TPTP v8.1.2. Released v3.2.0.
% 0.00/0.14 % Command : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.mcjTA51BtX true
% 0.16/0.34 % Computer : n019.cluster.edu
% 0.16/0.34 % Model : x86_64 x86_64
% 0.16/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.16/0.34 % Memory : 8042.1875MB
% 0.16/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.16/0.34 % CPULimit : 300
% 0.16/0.34 % WCLimit : 300
% 0.16/0.35 % DateTime : Sat Aug 26 09:08:28 EDT 2023
% 0.16/0.35 % CPUTime :
% 0.16/0.35 % Running portfolio for 300 s
% 0.16/0.35 % File : /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.16/0.35 % Number of cores: 8
% 0.16/0.35 % Python version: Python 3.6.8
% 0.16/0.35 % Running in FO mode
% 0.20/0.60 % Total configuration time : 435
% 0.20/0.60 % Estimated wc time : 1092
% 0.20/0.60 % Estimated cpu time (7 cpus) : 156.0
% 0.20/0.68 % /export/starexec/sandbox/solver/bin/fo/fo6_bce.sh running for 75s
% 0.20/0.68 % /export/starexec/sandbox/solver/bin/fo/fo3_bce.sh running for 75s
% 0.20/0.71 % /export/starexec/sandbox/solver/bin/fo/fo7.sh running for 63s
% 0.20/0.71 % /export/starexec/sandbox/solver/bin/fo/fo1_av.sh running for 75s
% 0.20/0.71 % /export/starexec/sandbox/solver/bin/fo/fo13.sh running for 50s
% 0.20/0.71 % /export/starexec/sandbox/solver/bin/fo/fo5.sh running for 50s
% 0.20/0.72 % /export/starexec/sandbox/solver/bin/fo/fo4.sh running for 50s
% 20.73/3.57 % Solved by fo/fo6_bce.sh.
% 20.73/3.57 % BCE start: 1359
% 20.73/3.57 % BCE eliminated: 768
% 20.73/3.57 % PE start: 591
% 20.73/3.57 logic: eq
% 20.73/3.57 % PE eliminated: -2156
% 20.73/3.57 % done 3560 iterations in 2.846s
% 20.73/3.57 % SZS status Theorem for '/export/starexec/sandbox/benchmark/theBenchmark.p'
% 20.73/3.57 % SZS output start Refutation
% 20.73/3.57 thf(c_in_type, type, c_in: $i > $i > $i > $o).
% 20.73/3.57 thf(c_Main_OsubsetI__1_type, type, c_Main_OsubsetI__1: $i > $i > $i > $i).
% 20.73/3.57 thf(v_S_type, type, v_S: $i).
% 20.73/3.57 thf(c_insert_type, type, c_insert: $i > $i > $i > $i).
% 20.73/3.57 thf(t_a_type, type, t_a: $i).
% 20.73/3.57 thf(tc_set_type, type, tc_set: $i > $i).
% 20.73/3.57 thf(c_lessequals_type, type, c_lessequals: $i > $i > $i > $o).
% 20.73/3.57 thf(c_emptyset_type, type, c_emptyset: $i).
% 20.73/3.57 thf(cls_conjecture_0, conjecture,
% 20.73/3.57 (c_lessequals @
% 20.73/3.57 v_S @ ( c_insert @ V_U @ c_emptyset @ ( tc_set @ t_a ) ) @
% 20.73/3.57 ( tc_set @ ( tc_set @ t_a ) ))).
% 20.73/3.57 thf(zf_stmt_0, negated_conjecture,
% 20.73/3.57 (~( c_lessequals @
% 20.73/3.57 v_S @ ( c_insert @ V_U @ c_emptyset @ ( tc_set @ t_a ) ) @
% 20.73/3.57 ( tc_set @ ( tc_set @ t_a ) ) )),
% 20.73/3.57 inference('cnf.neg', [status(esa)], [cls_conjecture_0])).
% 20.73/3.57 thf(zip_derived_cl1357, plain,
% 20.73/3.57 (![X0 : $i]:
% 20.73/3.57 ~ (c_lessequals @ v_S @
% 20.73/3.57 (c_insert @ X0 @ c_emptyset @ (tc_set @ t_a)) @
% 20.73/3.57 (tc_set @ (tc_set @ t_a)))),
% 20.73/3.57 inference('cnf', [status(esa)], [zf_stmt_0])).
% 20.73/3.57 thf(cls_Set_OinsertCI_1, axiom,
% 20.73/3.57 (c_in @ V_x @ ( c_insert @ V_x @ V_B @ T_a ) @ T_a)).
% 20.73/3.57 thf(zip_derived_cl175, plain,
% 20.73/3.57 (![X0 : $i, X1 : $i, X2 : $i]:
% 20.73/3.57 (c_in @ X0 @ (c_insert @ X0 @ X1 @ X2) @ X2)),
% 20.73/3.57 inference('cnf', [status(esa)], [cls_Set_OinsertCI_1])).
% 20.73/3.57 thf(cls_Set_OsubsetI_0, axiom,
% 20.73/3.57 (( c_in @ ( c_Main_OsubsetI__1 @ V_A @ V_B @ T_a ) @ V_A @ T_a ) |
% 20.73/3.57 ( c_lessequals @ V_A @ V_B @ ( tc_set @ T_a ) ))).
% 20.73/3.57 thf(zip_derived_cl306, plain,
% 20.73/3.57 (![X0 : $i, X1 : $i, X2 : $i]:
% 20.73/3.57 ( (c_in @ (c_Main_OsubsetI__1 @ X0 @ X1 @ X2) @ X0 @ X2)
% 20.73/3.57 | (c_lessequals @ X0 @ X1 @ (tc_set @ X2)))),
% 20.73/3.57 inference('cnf', [status(esa)], [cls_Set_OsubsetI_0])).
% 20.73/3.57 thf(zip_derived_cl306, plain,
% 20.73/3.57 (![X0 : $i, X1 : $i, X2 : $i]:
% 20.73/3.57 ( (c_in @ (c_Main_OsubsetI__1 @ X0 @ X1 @ X2) @ X0 @ X2)
% 20.73/3.57 | (c_lessequals @ X0 @ X1 @ (tc_set @ X2)))),
% 20.73/3.57 inference('cnf', [status(esa)], [cls_Set_OsubsetI_0])).
% 20.73/3.57 thf(cls_conjecture_1, conjecture,
% 20.73/3.57 (~( ( ~( c_in @ V_U @ v_S @ ( tc_set @ t_a ) ) ) |
% 20.73/3.57 ( ~( c_in @ V_V @ v_S @ ( tc_set @ t_a ) ) ) |
% 20.73/3.57 ( c_lessequals @ V_U @ V_V @ ( tc_set @ t_a ) ) ))).
% 20.73/3.57 thf(zf_stmt_1, negated_conjecture,
% 20.73/3.57 (( ~( c_in @ V_U @ v_S @ ( tc_set @ t_a ) ) ) |
% 20.73/3.57 ( ~( c_in @ V_V @ v_S @ ( tc_set @ t_a ) ) ) |
% 20.73/3.57 ( c_lessequals @ V_U @ V_V @ ( tc_set @ t_a ) )),
% 20.73/3.57 inference('cnf.neg', [status(esa)], [cls_conjecture_1])).
% 20.73/3.57 thf(zip_derived_cl1358, plain,
% 20.73/3.57 (![X0 : $i, X1 : $i]:
% 20.73/3.57 (~ (c_in @ X0 @ v_S @ (tc_set @ t_a))
% 20.73/3.57 | ~ (c_in @ X1 @ v_S @ (tc_set @ t_a))
% 20.73/3.57 | (c_lessequals @ X0 @ X1 @ (tc_set @ t_a)))),
% 20.73/3.57 inference('cnf', [status(esa)], [zf_stmt_1])).
% 20.73/3.57 thf(cls_Set_Osubset__antisym_0, axiom,
% 20.73/3.57 (( ~( c_lessequals @ V_B @ V_A @ ( tc_set @ T_a ) ) ) |
% 20.73/3.57 ( ~( c_lessequals @ V_A @ V_B @ ( tc_set @ T_a ) ) ) |
% 20.73/3.57 ( ( V_A ) = ( V_B ) ))).
% 20.73/3.57 thf(zip_derived_cl308, plain,
% 20.73/3.57 (![X0 : $i, X1 : $i, X2 : $i]:
% 20.73/3.57 (~ (c_lessequals @ X0 @ X1 @ (tc_set @ X2))
% 20.73/3.57 | ~ (c_lessequals @ X1 @ X0 @ (tc_set @ X2))
% 20.73/3.57 | ((X1) = (X0)))),
% 20.73/3.57 inference('cnf', [status(esa)], [cls_Set_Osubset__antisym_0])).
% 20.73/3.57 thf(zip_derived_cl13972, plain,
% 20.73/3.57 (![X0 : $i, X1 : $i]:
% 20.73/3.57 (~ (c_in @ X0 @ v_S @ (tc_set @ t_a))
% 20.73/3.57 | ~ (c_in @ X1 @ v_S @ (tc_set @ t_a))
% 20.73/3.57 | ~ (c_lessequals @ X0 @ X1 @ (tc_set @ t_a))
% 20.73/3.57 | ((X0) = (X1)))),
% 20.73/3.57 inference('s_sup-', [status(thm)],
% 20.73/3.57 [zip_derived_cl1358, zip_derived_cl308])).
% 20.73/3.57 thf(zip_derived_cl1358, plain,
% 20.73/3.57 (![X0 : $i, X1 : $i]:
% 20.73/3.57 (~ (c_in @ X0 @ v_S @ (tc_set @ t_a))
% 20.73/3.57 | ~ (c_in @ X1 @ v_S @ (tc_set @ t_a))
% 20.73/3.57 | (c_lessequals @ X0 @ X1 @ (tc_set @ t_a)))),
% 20.73/3.57 inference('cnf', [status(esa)], [zf_stmt_1])).
% 20.73/3.57 thf(zip_derived_cl13982, plain,
% 20.73/3.57 (![X0 : $i, X1 : $i]:
% 20.73/3.57 (((X0) = (X1))
% 20.73/3.57 | ~ (c_in @ X1 @ v_S @ (tc_set @ t_a))
% 20.73/3.57 | ~ (c_in @ X0 @ v_S @ (tc_set @ t_a)))),
% 20.73/3.57 inference('clc', [status(thm)], [zip_derived_cl13972, zip_derived_cl1358])).
% 20.73/3.57 thf(zip_derived_cl13986, plain,
% 20.73/3.57 (![X0 : $i, X1 : $i]:
% 20.73/3.57 ( (c_lessequals @ v_S @ X0 @ (tc_set @ (tc_set @ t_a)))
% 20.73/3.57 | ((X1) = (c_Main_OsubsetI__1 @ v_S @ X0 @ (tc_set @ t_a)))
% 20.73/3.57 | ~ (c_in @ X1 @ v_S @ (tc_set @ t_a)))),
% 20.73/3.57 inference('s_sup-', [status(thm)],
% 20.73/3.57 [zip_derived_cl306, zip_derived_cl13982])).
% 20.73/3.57 thf(zip_derived_cl16684, plain,
% 20.73/3.57 (![X0 : $i, X1 : $i]:
% 20.73/3.57 ( (c_lessequals @ v_S @ X0 @ (tc_set @ (tc_set @ t_a)))
% 20.73/3.57 | (c_lessequals @ v_S @ X1 @ (tc_set @ (tc_set @ t_a)))
% 20.73/3.57 | ((c_Main_OsubsetI__1 @ v_S @ X0 @ (tc_set @ t_a))
% 20.73/3.57 = (c_Main_OsubsetI__1 @ v_S @ X1 @ (tc_set @ t_a))))),
% 20.73/3.57 inference('s_sup-', [status(thm)],
% 20.73/3.57 [zip_derived_cl306, zip_derived_cl13986])).
% 20.73/3.57 thf(cls_Set_OsubsetI_1, axiom,
% 20.73/3.57 (( ~( c_in @ ( c_Main_OsubsetI__1 @ V_A @ V_B @ T_a ) @ V_B @ T_a ) ) |
% 20.73/3.57 ( c_lessequals @ V_A @ V_B @ ( tc_set @ T_a ) ))).
% 20.73/3.57 thf(zip_derived_cl307, plain,
% 20.73/3.57 (![X0 : $i, X1 : $i, X2 : $i]:
% 20.73/3.57 (~ (c_in @ (c_Main_OsubsetI__1 @ X0 @ X1 @ X2) @ X1 @ X2)
% 20.73/3.57 | (c_lessequals @ X0 @ X1 @ (tc_set @ X2)))),
% 20.73/3.57 inference('cnf', [status(esa)], [cls_Set_OsubsetI_1])).
% 20.73/3.57 thf(zip_derived_cl17518, plain,
% 20.73/3.57 (![X0 : $i, X1 : $i]:
% 20.73/3.57 ( (c_lessequals @ v_S @ X1 @ (tc_set @ (tc_set @ t_a)))
% 20.73/3.57 | (c_lessequals @ v_S @ X0 @ (tc_set @ (tc_set @ t_a)))
% 20.73/3.57 | ~ (c_in @ (c_Main_OsubsetI__1 @ v_S @ X0 @ (tc_set @ t_a)) @ X1 @
% 20.73/3.57 (tc_set @ t_a))
% 20.73/3.57 | (c_lessequals @ v_S @ X1 @ (tc_set @ (tc_set @ t_a))))),
% 20.73/3.57 inference('s_sup-', [status(thm)],
% 20.73/3.57 [zip_derived_cl16684, zip_derived_cl307])).
% 20.73/3.57 thf(zip_derived_cl17540, plain,
% 20.73/3.57 (![X0 : $i, X1 : $i]:
% 20.73/3.57 (~ (c_in @ (c_Main_OsubsetI__1 @ v_S @ X0 @ (tc_set @ t_a)) @ X1 @
% 20.73/3.57 (tc_set @ t_a))
% 20.73/3.57 | (c_lessequals @ v_S @ X0 @ (tc_set @ (tc_set @ t_a)))
% 20.73/3.57 | (c_lessequals @ v_S @ X1 @ (tc_set @ (tc_set @ t_a))))),
% 20.73/3.57 inference('simplify', [status(thm)], [zip_derived_cl17518])).
% 20.73/3.57 thf(zip_derived_cl18035, plain,
% 20.73/3.57 (![X0 : $i, X1 : $i]:
% 20.73/3.57 ( (c_lessequals @ v_S @ X1 @ (tc_set @ (tc_set @ t_a)))
% 20.73/3.57 | (c_lessequals @ v_S @
% 20.73/3.57 (c_insert @ (c_Main_OsubsetI__1 @ v_S @ X1 @ (tc_set @ t_a)) @
% 20.73/3.57 X0 @ (tc_set @ t_a)) @
% 20.73/3.57 (tc_set @ (tc_set @ t_a))))),
% 20.73/3.57 inference('s_sup-', [status(thm)],
% 20.73/3.57 [zip_derived_cl175, zip_derived_cl17540])).
% 20.73/3.57 thf(zip_derived_cl1357, plain,
% 20.73/3.57 (![X0 : $i]:
% 20.73/3.57 ~ (c_lessequals @ v_S @
% 20.73/3.57 (c_insert @ X0 @ c_emptyset @ (tc_set @ t_a)) @
% 20.73/3.57 (tc_set @ (tc_set @ t_a)))),
% 20.73/3.57 inference('cnf', [status(esa)], [zf_stmt_0])).
% 20.73/3.57 thf(zip_derived_cl18522, plain,
% 20.73/3.57 (![X0 : $i]: (c_lessequals @ v_S @ X0 @ (tc_set @ (tc_set @ t_a)))),
% 20.73/3.57 inference('s_sup-', [status(thm)],
% 20.73/3.57 [zip_derived_cl18035, zip_derived_cl1357])).
% 20.73/3.57 thf(zip_derived_cl18532, plain, ($false),
% 20.73/3.57 inference('demod', [status(thm)],
% 20.73/3.57 [zip_derived_cl1357, zip_derived_cl18522])).
% 20.73/3.57
% 20.73/3.57 % SZS output end Refutation
% 20.73/3.57
% 20.73/3.57
% 20.73/3.57 % Terminating...
% 21.42/3.65 % Runner terminated.
% 21.42/3.66 % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------