TSTP Solution File: SET852-1 by Zipperpin---2.1.9999
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%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : SET852-1 : 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.CIskXJ2Ux6 true
% Computer : n027.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 16:16:26 EDT 2023
% Result : Unsatisfiable 2.48s 0.97s
% Output : Refutation 2.48s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.14 % Problem : SET852-1 : TPTP v8.1.2. Released v3.2.0.
% 0.00/0.15 % Command : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.CIskXJ2Ux6 true
% 0.12/0.35 % Computer : n027.cluster.edu
% 0.12/0.35 % Model : x86_64 x86_64
% 0.12/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.35 % Memory : 8042.1875MB
% 0.12/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.35 % CPULimit : 300
% 0.12/0.35 % WCLimit : 300
% 0.12/0.35 % DateTime : Sat Aug 26 15:32:05 EDT 2023
% 0.12/0.35 % CPUTime :
% 0.12/0.35 % Running portfolio for 300 s
% 0.12/0.35 % File : /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.12/0.35 % Number of cores: 8
% 0.12/0.35 % Python version: Python 3.6.8
% 0.12/0.35 % Running in FO mode
% 0.18/0.59 % Total configuration time : 435
% 0.18/0.59 % Estimated wc time : 1092
% 0.18/0.59 % Estimated cpu time (7 cpus) : 156.0
% 0.18/0.69 % /export/starexec/sandbox2/solver/bin/fo/fo6_bce.sh running for 75s
% 0.18/0.70 % /export/starexec/sandbox2/solver/bin/fo/fo1_av.sh running for 75s
% 0.18/0.70 % /export/starexec/sandbox2/solver/bin/fo/fo3_bce.sh running for 75s
% 0.18/0.72 % /export/starexec/sandbox2/solver/bin/fo/fo7.sh running for 63s
% 0.18/0.73 % /export/starexec/sandbox2/solver/bin/fo/fo4.sh running for 50s
% 0.18/0.73 % /export/starexec/sandbox2/solver/bin/fo/fo13.sh running for 50s
% 0.18/0.73 % /export/starexec/sandbox2/solver/bin/fo/fo5.sh running for 50s
% 2.48/0.97 % Solved by fo/fo3_bce.sh.
% 2.48/0.97 % BCE start: 133
% 2.48/0.97 % BCE eliminated: 72
% 2.48/0.97 % PE start: 61
% 2.48/0.97 logic: eq
% 2.48/0.97 % PE eliminated: 0
% 2.48/0.97 % done 135 iterations in 0.228s
% 2.48/0.97 % SZS status Theorem for '/export/starexec/sandbox2/benchmark/theBenchmark.p'
% 2.48/0.97 % SZS output start Refutation
% 2.48/0.97 thf(c_in_type, type, c_in: $i > $i > $i > $o).
% 2.48/0.97 thf(c_Zorn_OUnion__lemma0__1_type, type, c_Zorn_OUnion__lemma0__1: $i > $i >
% 2.48/0.97 $i > $i > $i).
% 2.48/0.97 thf(v_Y_type, type, v_Y: $i).
% 2.48/0.97 thf(tc_set_type, type, tc_set: $i > $i).
% 2.48/0.97 thf(c_Zorn_Osucc_type, type, c_Zorn_Osucc: $i > $i > $i > $i).
% 2.48/0.97 thf(v_S_type, type, v_S: $i).
% 2.48/0.97 thf(c_lessequals_type, type, c_lessequals: $i > $i > $i > $o).
% 2.48/0.97 thf(v_m_type, type, v_m: $i).
% 2.48/0.97 thf(t_a_type, type, t_a: $i).
% 2.48/0.97 thf(c_Union_type, type, c_Union: $i > $i > $i).
% 2.48/0.97 thf(cls_conjecture_3, conjecture,
% 2.48/0.97 (c_lessequals @
% 2.48/0.97 ( c_Zorn_Osucc @ v_S @ v_m @ t_a ) @
% 2.48/0.97 ( c_Union @ v_Y @ ( tc_set @ t_a ) ) @ ( tc_set @ ( tc_set @ t_a ) ))).
% 2.48/0.97 thf(zf_stmt_0, negated_conjecture,
% 2.48/0.97 (~( c_lessequals @
% 2.48/0.97 ( c_Zorn_Osucc @ v_S @ v_m @ t_a ) @
% 2.48/0.97 ( c_Union @ v_Y @ ( tc_set @ t_a ) ) @ ( tc_set @ ( tc_set @ t_a ) ) )),
% 2.48/0.97 inference('cnf.neg', [status(esa)], [cls_conjecture_3])).
% 2.48/0.97 thf(zip_derived_cl129, plain,
% 2.48/0.97 (~ (c_lessequals @ (c_Zorn_Osucc @ v_S @ v_m @ t_a) @
% 2.48/0.97 (c_Union @ v_Y @ (tc_set @ t_a)) @ (tc_set @ (tc_set @ t_a)))),
% 2.48/0.97 inference('cnf', [status(esa)], [zf_stmt_0])).
% 2.48/0.97 thf(cls_Zorn_OUnion__lemma0_2, axiom,
% 2.48/0.97 (( ~( c_lessequals @
% 2.48/0.97 V_B @ ( c_Zorn_OUnion__lemma0__1 @ V_A @ V_B @ V_C @ T_a ) @
% 2.48/0.97 ( tc_set @ T_a ) ) ) |
% 2.48/0.97 ( c_lessequals @ V_B @ ( c_Union @ V_C @ T_a ) @ ( tc_set @ T_a ) ) |
% 2.48/0.97 ( c_lessequals @ ( c_Union @ V_C @ T_a ) @ V_A @ ( tc_set @ T_a ) ))).
% 2.48/0.97 thf(zip_derived_cl125, plain,
% 2.48/0.97 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 2.48/0.97 (~ (c_lessequals @ X0 @
% 2.48/0.97 (c_Zorn_OUnion__lemma0__1 @ X1 @ X0 @ X2 @ X3) @ (tc_set @ X3))
% 2.48/0.97 | (c_lessequals @ X0 @ (c_Union @ X2 @ X3) @ (tc_set @ X3))
% 2.48/0.97 | (c_lessequals @ (c_Union @ X2 @ X3) @ X1 @ (tc_set @ X3)))),
% 2.48/0.97 inference('cnf', [status(esa)], [cls_Zorn_OUnion__lemma0_2])).
% 2.48/0.97 thf(cls_Zorn_OUnion__lemma0_1, axiom,
% 2.48/0.97 (( ~( c_lessequals @
% 2.48/0.97 ( c_Zorn_OUnion__lemma0__1 @ V_A @ V_B @ V_C @ T_a ) @ V_A @
% 2.48/0.97 ( tc_set @ T_a ) ) ) |
% 2.48/0.97 ( c_lessequals @ V_B @ ( c_Union @ V_C @ T_a ) @ ( tc_set @ T_a ) ) |
% 2.48/0.97 ( c_lessequals @ ( c_Union @ V_C @ T_a ) @ V_A @ ( tc_set @ T_a ) ))).
% 2.48/0.97 thf(zip_derived_cl124, plain,
% 2.48/0.97 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 2.48/0.97 (~ (c_lessequals @ (c_Zorn_OUnion__lemma0__1 @ X0 @ X1 @ X2 @ X3) @
% 2.48/0.97 X0 @ (tc_set @ X3))
% 2.48/0.97 | (c_lessequals @ X1 @ (c_Union @ X2 @ X3) @ (tc_set @ X3))
% 2.48/0.97 | (c_lessequals @ (c_Union @ X2 @ X3) @ X0 @ (tc_set @ X3)))),
% 2.48/0.97 inference('cnf', [status(esa)], [cls_Zorn_OUnion__lemma0_1])).
% 2.48/0.97 thf(cls_Zorn_OUnion__lemma0_0, axiom,
% 2.48/0.97 (( c_in @
% 2.48/0.97 ( c_Zorn_OUnion__lemma0__1 @ V_A @ V_B @ V_C @ T_a ) @ V_C @
% 2.48/0.97 ( tc_set @ T_a ) ) |
% 2.48/0.97 ( c_lessequals @ V_B @ ( c_Union @ V_C @ T_a ) @ ( tc_set @ T_a ) ) |
% 2.48/0.97 ( c_lessequals @ ( c_Union @ V_C @ T_a ) @ V_A @ ( tc_set @ T_a ) ))).
% 2.48/0.97 thf(zip_derived_cl123, plain,
% 2.48/0.97 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 2.48/0.97 ( (c_in @ (c_Zorn_OUnion__lemma0__1 @ X0 @ X1 @ X2 @ X3) @ X2 @
% 2.48/0.97 (tc_set @ X3))
% 2.48/0.97 | (c_lessequals @ X1 @ (c_Union @ X2 @ X3) @ (tc_set @ X3))
% 2.48/0.97 | (c_lessequals @ (c_Union @ X2 @ X3) @ X0 @ (tc_set @ X3)))),
% 2.48/0.97 inference('cnf', [status(esa)], [cls_Zorn_OUnion__lemma0_0])).
% 2.48/0.97 thf(cls_conjecture_4, conjecture,
% 2.48/0.97 (~( ( ~( c_in @ V_U @ v_Y @ ( tc_set @ ( tc_set @ t_a ) ) ) ) |
% 2.48/0.97 ( c_lessequals @ V_U @ v_m @ ( tc_set @ ( tc_set @ t_a ) ) ) |
% 2.48/0.97 ( c_lessequals @
% 2.48/0.97 ( c_Zorn_Osucc @ v_S @ v_m @ t_a ) @ V_U @
% 2.48/0.97 ( tc_set @ ( tc_set @ t_a ) ) ) ))).
% 2.48/0.97 thf(zf_stmt_1, negated_conjecture,
% 2.48/0.97 (( ~( c_in @ V_U @ v_Y @ ( tc_set @ ( tc_set @ t_a ) ) ) ) |
% 2.48/0.97 ( c_lessequals @ V_U @ v_m @ ( tc_set @ ( tc_set @ t_a ) ) ) |
% 2.48/0.97 ( c_lessequals @
% 2.48/0.97 ( c_Zorn_Osucc @ v_S @ v_m @ t_a ) @ V_U @ ( tc_set @ ( tc_set @ t_a ) ) )),
% 2.48/0.97 inference('cnf.neg', [status(esa)], [cls_conjecture_4])).
% 2.48/0.97 thf(zip_derived_cl128, plain,
% 2.48/0.97 (![X0 : $i]:
% 2.48/0.97 (~ (c_in @ X0 @ v_Y @ (tc_set @ (tc_set @ t_a)))
% 2.48/0.97 | (c_lessequals @ X0 @ v_m @ (tc_set @ (tc_set @ t_a)))
% 2.48/0.97 | (c_lessequals @ (c_Zorn_Osucc @ v_S @ v_m @ t_a) @ X0 @
% 2.48/0.97 (tc_set @ (tc_set @ t_a))))),
% 2.48/0.97 inference('cnf', [status(esa)], [zf_stmt_1])).
% 2.48/0.97 thf(zip_derived_cl480, plain,
% 2.48/0.97 (![X0 : $i, X1 : $i]:
% 2.48/0.97 ( (c_lessequals @ (c_Union @ v_Y @ (tc_set @ t_a)) @ X1 @
% 2.48/0.97 (tc_set @ (tc_set @ t_a)))
% 2.48/0.97 | (c_lessequals @ X0 @ (c_Union @ v_Y @ (tc_set @ t_a)) @
% 2.48/0.97 (tc_set @ (tc_set @ t_a)))
% 2.48/0.97 | (c_lessequals @ (c_Zorn_Osucc @ v_S @ v_m @ t_a) @
% 2.48/0.97 (c_Zorn_OUnion__lemma0__1 @ X1 @ X0 @ v_Y @ (tc_set @ t_a)) @
% 2.48/0.97 (tc_set @ (tc_set @ t_a)))
% 2.48/0.97 | (c_lessequals @
% 2.48/0.97 (c_Zorn_OUnion__lemma0__1 @ X1 @ X0 @ v_Y @ (tc_set @ t_a)) @
% 2.48/0.97 v_m @ (tc_set @ (tc_set @ t_a))))),
% 2.48/0.97 inference('sup-', [status(thm)], [zip_derived_cl123, zip_derived_cl128])).
% 2.48/0.97 thf(zip_derived_cl554, plain,
% 2.48/0.97 (![X0 : $i]:
% 2.48/0.97 ( (c_lessequals @ (c_Union @ v_Y @ (tc_set @ t_a)) @ v_m @
% 2.48/0.97 (tc_set @ (tc_set @ t_a)))
% 2.48/0.97 | (c_lessequals @ X0 @ (c_Union @ v_Y @ (tc_set @ t_a)) @
% 2.48/0.97 (tc_set @ (tc_set @ t_a)))
% 2.48/0.97 | (c_lessequals @ (c_Zorn_Osucc @ v_S @ v_m @ t_a) @
% 2.48/0.97 (c_Zorn_OUnion__lemma0__1 @ v_m @ X0 @ v_Y @ (tc_set @ t_a)) @
% 2.48/0.97 (tc_set @ (tc_set @ t_a)))
% 2.48/0.97 | (c_lessequals @ X0 @ (c_Union @ v_Y @ (tc_set @ t_a)) @
% 2.48/0.97 (tc_set @ (tc_set @ t_a)))
% 2.48/0.97 | (c_lessequals @ (c_Union @ v_Y @ (tc_set @ t_a)) @ v_m @
% 2.48/0.97 (tc_set @ (tc_set @ t_a))))),
% 2.48/0.97 inference('sup+', [status(thm)], [zip_derived_cl124, zip_derived_cl480])).
% 2.48/0.97 thf(cls_conjecture_2, conjecture,
% 2.48/0.97 (c_lessequals @
% 2.48/0.97 ( c_Union @ v_Y @ ( tc_set @ t_a ) ) @ v_m @ ( tc_set @ ( tc_set @ t_a ) ))).
% 2.48/0.97 thf(zf_stmt_2, negated_conjecture,
% 2.48/0.97 (~( c_lessequals @
% 2.48/0.97 ( c_Union @ v_Y @ ( tc_set @ t_a ) ) @ v_m @
% 2.48/0.97 ( tc_set @ ( tc_set @ t_a ) ) )),
% 2.48/0.97 inference('cnf.neg', [status(esa)], [cls_conjecture_2])).
% 2.48/0.97 thf(zip_derived_cl130, plain,
% 2.48/0.97 (~ (c_lessequals @ (c_Union @ v_Y @ (tc_set @ t_a)) @ v_m @
% 2.48/0.97 (tc_set @ (tc_set @ t_a)))),
% 2.48/0.97 inference('cnf', [status(esa)], [zf_stmt_2])).
% 2.48/0.97 thf(zip_derived_cl130, plain,
% 2.48/0.97 (~ (c_lessequals @ (c_Union @ v_Y @ (tc_set @ t_a)) @ v_m @
% 2.48/0.97 (tc_set @ (tc_set @ t_a)))),
% 2.48/0.97 inference('cnf', [status(esa)], [zf_stmt_2])).
% 2.48/0.97 thf(zip_derived_cl555, plain,
% 2.48/0.97 (![X0 : $i]:
% 2.48/0.97 ( (c_lessequals @ X0 @ (c_Union @ v_Y @ (tc_set @ t_a)) @
% 2.48/0.97 (tc_set @ (tc_set @ t_a)))
% 2.48/0.97 | (c_lessequals @ (c_Zorn_Osucc @ v_S @ v_m @ t_a) @
% 2.48/0.97 (c_Zorn_OUnion__lemma0__1 @ v_m @ X0 @ v_Y @ (tc_set @ t_a)) @
% 2.48/0.97 (tc_set @ (tc_set @ t_a)))
% 2.48/0.97 | (c_lessequals @ X0 @ (c_Union @ v_Y @ (tc_set @ t_a)) @
% 2.48/0.97 (tc_set @ (tc_set @ t_a))))),
% 2.48/0.97 inference('demod', [status(thm)],
% 2.48/0.97 [zip_derived_cl554, zip_derived_cl130, zip_derived_cl130])).
% 2.48/0.97 thf(zip_derived_cl556, plain,
% 2.48/0.97 (![X0 : $i]:
% 2.48/0.97 ( (c_lessequals @ (c_Zorn_Osucc @ v_S @ v_m @ t_a) @
% 2.48/0.97 (c_Zorn_OUnion__lemma0__1 @ v_m @ X0 @ v_Y @ (tc_set @ t_a)) @
% 2.48/0.97 (tc_set @ (tc_set @ t_a)))
% 2.48/0.97 | (c_lessequals @ X0 @ (c_Union @ v_Y @ (tc_set @ t_a)) @
% 2.48/0.97 (tc_set @ (tc_set @ t_a))))),
% 2.48/0.97 inference('simplify', [status(thm)], [zip_derived_cl555])).
% 2.48/0.97 thf(zip_derived_cl566, plain,
% 2.48/0.97 (( (c_lessequals @ (c_Union @ v_Y @ (tc_set @ t_a)) @ v_m @
% 2.48/0.97 (tc_set @ (tc_set @ t_a)))
% 2.48/0.97 | (c_lessequals @ (c_Zorn_Osucc @ v_S @ v_m @ t_a) @
% 2.48/0.97 (c_Union @ v_Y @ (tc_set @ t_a)) @ (tc_set @ (tc_set @ t_a)))
% 2.48/0.97 | (c_lessequals @ (c_Zorn_Osucc @ v_S @ v_m @ t_a) @
% 2.48/0.97 (c_Union @ v_Y @ (tc_set @ t_a)) @ (tc_set @ (tc_set @ t_a))))),
% 2.48/0.97 inference('sup+', [status(thm)], [zip_derived_cl125, zip_derived_cl556])).
% 2.48/0.97 thf(zip_derived_cl130, plain,
% 2.48/0.97 (~ (c_lessequals @ (c_Union @ v_Y @ (tc_set @ t_a)) @ v_m @
% 2.48/0.97 (tc_set @ (tc_set @ t_a)))),
% 2.48/0.97 inference('cnf', [status(esa)], [zf_stmt_2])).
% 2.48/0.97 thf(zip_derived_cl567, plain,
% 2.48/0.97 (( (c_lessequals @ (c_Zorn_Osucc @ v_S @ v_m @ t_a) @
% 2.48/0.97 (c_Union @ v_Y @ (tc_set @ t_a)) @ (tc_set @ (tc_set @ t_a)))
% 2.48/0.97 | (c_lessequals @ (c_Zorn_Osucc @ v_S @ v_m @ t_a) @
% 2.48/0.97 (c_Union @ v_Y @ (tc_set @ t_a)) @ (tc_set @ (tc_set @ t_a))))),
% 2.48/0.97 inference('demod', [status(thm)], [zip_derived_cl566, zip_derived_cl130])).
% 2.48/0.97 thf(zip_derived_cl568, plain,
% 2.48/0.97 ( (c_lessequals @ (c_Zorn_Osucc @ v_S @ v_m @ t_a) @
% 2.48/0.97 (c_Union @ v_Y @ (tc_set @ t_a)) @ (tc_set @ (tc_set @ t_a)))),
% 2.48/0.97 inference('simplify', [status(thm)], [zip_derived_cl567])).
% 2.48/0.97 thf(zip_derived_cl571, plain, ($false),
% 2.48/0.97 inference('demod', [status(thm)], [zip_derived_cl129, zip_derived_cl568])).
% 2.48/0.97
% 2.48/0.97 % SZS output end Refutation
% 2.48/0.97
% 2.48/0.97
% 2.48/0.97 % Terminating...
% 2.48/1.03 % Runner terminated.
% 2.48/1.05 % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------