TSTP Solution File: SET847-2 by Zipperpin---2.1.9999
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- Process Solution
%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : SET847-2 : 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.guU0rIpuLi true
% Computer : n003.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 16:16:23 EDT 2023
% Result : Unsatisfiable 0.20s 0.72s
% Output : Refutation 0.20s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : SET847-2 : TPTP v8.1.2. Released v3.2.0.
% 0.13/0.13 % Command : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.guU0rIpuLi true
% 0.13/0.34 % Computer : n003.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 09:24:24 EDT 2023
% 0.13/0.34 % CPUTime :
% 0.13/0.34 % Running portfolio for 300 s
% 0.13/0.34 % File : /export/starexec/sandbox2/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
% 0.20/0.64 % Total configuration time : 435
% 0.20/0.64 % Estimated wc time : 1092
% 0.20/0.64 % Estimated cpu time (7 cpus) : 156.0
% 0.20/0.69 % /export/starexec/sandbox2/solver/bin/fo/fo6_bce.sh running for 75s
% 0.20/0.72 % Solved by fo/fo6_bce.sh.
% 0.20/0.72 % BCE start: 11
% 0.20/0.72 % BCE eliminated: 0
% 0.20/0.72 % PE start: 11
% 0.20/0.72 logic: eq
% 0.20/0.72 % PE eliminated: 0
% 0.20/0.72 % done 22 iterations in 0.013s
% 0.20/0.72 % SZS status Theorem for '/export/starexec/sandbox2/benchmark/theBenchmark.p'
% 0.20/0.72 % SZS output start Refutation
% 0.20/0.72 thf(c_Zorn_OTFin_type, type, c_Zorn_OTFin: $i > $i > $i).
% 0.20/0.72 thf(c_in_type, type, c_in: $i > $i > $i > $o).
% 0.20/0.72 thf(c_Union_type, type, c_Union: $i > $i > $i).
% 0.20/0.72 thf(c_emptyset_type, type, c_emptyset: $i).
% 0.20/0.72 thf(c_Zorn_Omaxchain_type, type, c_Zorn_Omaxchain: $i > $i > $i).
% 0.20/0.72 thf(t_a_type, type, t_a: $i).
% 0.20/0.72 thf(v_S_type, type, v_S: $i).
% 0.20/0.72 thf(c_Zorn_Osucc_type, type, c_Zorn_Osucc: $i > $i > $i > $i).
% 0.20/0.72 thf(c_Main_OsubsetI__1_type, type, c_Main_OsubsetI__1: $i > $i > $i > $i).
% 0.20/0.72 thf(c_Zorn_Ochain_type, type, c_Zorn_Ochain: $i > $i > $i).
% 0.20/0.72 thf(tc_set_type, type, tc_set: $i > $i).
% 0.20/0.72 thf(c_minus_type, type, c_minus: $i > $i > $i > $i).
% 0.20/0.72 thf(c_lessequals_type, type, c_lessequals: $i > $i > $i > $o).
% 0.20/0.72 thf(cls_Zorn_OTFin__UnionI_0, axiom,
% 0.20/0.72 (( ~( c_lessequals @
% 0.20/0.72 V_Y @ ( c_Zorn_OTFin @ V_S @ T_a ) @
% 0.20/0.72 ( tc_set @ ( tc_set @ ( tc_set @ T_a ) ) ) ) ) |
% 0.20/0.72 ( c_in @
% 0.20/0.72 ( c_Union @ V_Y @ ( tc_set @ T_a ) ) @ ( c_Zorn_OTFin @ V_S @ T_a ) @
% 0.20/0.72 ( tc_set @ ( tc_set @ T_a ) ) ))).
% 0.20/0.72 thf(zip_derived_cl6, plain,
% 0.20/0.72 (![X0 : $i, X1 : $i, X2 : $i]:
% 0.20/0.72 (~ (c_lessequals @ X0 @ (c_Zorn_OTFin @ X1 @ X2) @
% 0.20/0.72 (tc_set @ (tc_set @ (tc_set @ X2))))
% 0.20/0.72 | (c_in @ (c_Union @ X0 @ (tc_set @ X2)) @
% 0.20/0.72 (c_Zorn_OTFin @ X1 @ X2) @ (tc_set @ (tc_set @ X2))))),
% 0.20/0.72 inference('cnf', [status(esa)], [cls_Zorn_OTFin__UnionI_0])).
% 0.20/0.72 thf(cls_Zorn_OTFin__chain__lemma4_0, axiom,
% 0.20/0.72 (( ~( c_in @
% 0.20/0.72 V_c @ ( c_Zorn_OTFin @ V_S @ T_a ) @ ( tc_set @ ( tc_set @ T_a ) ) ) ) |
% 0.20/0.72 ( c_in @
% 0.20/0.72 V_c @ ( c_Zorn_Ochain @ V_S @ T_a ) @ ( tc_set @ ( tc_set @ T_a ) ) ))).
% 0.20/0.72 thf(zip_derived_cl7, plain,
% 0.20/0.72 (![X0 : $i, X1 : $i, X2 : $i]:
% 0.20/0.72 (~ (c_in @ X0 @ (c_Zorn_OTFin @ X1 @ X2) @ (tc_set @ (tc_set @ X2)))
% 0.20/0.72 | (c_in @ X0 @ (c_Zorn_Ochain @ X1 @ X2) @ (tc_set @ (tc_set @ X2))))),
% 0.20/0.72 inference('cnf', [status(esa)], [cls_Zorn_OTFin__chain__lemma4_0])).
% 0.20/0.72 thf(cls_Set_OsubsetI_0, axiom,
% 0.20/0.72 (( c_in @ ( c_Main_OsubsetI__1 @ V_A @ V_B @ T_a ) @ V_A @ T_a ) |
% 0.20/0.72 ( c_lessequals @ V_A @ V_B @ ( tc_set @ T_a ) ))).
% 0.20/0.72 thf(zip_derived_cl3, plain,
% 0.20/0.72 (![X0 : $i, X1 : $i, X2 : $i]:
% 0.20/0.72 ( (c_in @ (c_Main_OsubsetI__1 @ X0 @ X1 @ X2) @ X0 @ X2)
% 0.20/0.72 | (c_lessequals @ X0 @ X1 @ (tc_set @ X2)))),
% 0.20/0.72 inference('cnf', [status(esa)], [cls_Set_OsubsetI_0])).
% 0.20/0.72 thf(cls_conjecture_0, conjecture,
% 0.20/0.72 (c_in @
% 0.20/0.72 V_U @ ( c_Zorn_Omaxchain @ v_S @ t_a ) @ ( tc_set @ ( tc_set @ t_a ) ))).
% 0.20/0.72 thf(zf_stmt_0, negated_conjecture,
% 0.20/0.72 (~( c_in @
% 0.20/0.72 V_U @ ( c_Zorn_Omaxchain @ v_S @ t_a ) @ ( tc_set @ ( tc_set @ t_a ) ) )),
% 0.20/0.72 inference('cnf.neg', [status(esa)], [cls_conjecture_0])).
% 0.20/0.72 thf(zip_derived_cl10, plain,
% 0.20/0.72 (![X0 : $i]:
% 0.20/0.72 ~ (c_in @ X0 @ (c_Zorn_Omaxchain @ v_S @ t_a) @
% 0.20/0.72 (tc_set @ (tc_set @ t_a)))),
% 0.20/0.72 inference('cnf', [status(esa)], [zf_stmt_0])).
% 0.20/0.72 thf(zip_derived_cl53, plain,
% 0.20/0.72 (![X0 : $i]:
% 0.20/0.72 (c_lessequals @ (c_Zorn_Omaxchain @ v_S @ t_a) @ X0 @
% 0.20/0.72 (tc_set @ (tc_set @ (tc_set @ t_a))))),
% 0.20/0.72 inference('s_sup-', [status(thm)], [zip_derived_cl3, zip_derived_cl10])).
% 0.20/0.72 thf(cls_Set_Oempty__subsetI_0, axiom,
% 0.20/0.72 (c_lessequals @ c_emptyset @ V_A @ ( tc_set @ T_a ))).
% 0.20/0.72 thf(zip_derived_cl2, plain,
% 0.20/0.72 (![X0 : $i, X1 : $i]: (c_lessequals @ c_emptyset @ X0 @ (tc_set @ X1))),
% 0.20/0.72 inference('cnf', [status(esa)], [cls_Set_Oempty__subsetI_0])).
% 0.20/0.72 thf(cls_Set_Osubset__antisym_0, axiom,
% 0.20/0.72 (( ~( c_lessequals @ V_B @ V_A @ ( tc_set @ T_a ) ) ) |
% 0.20/0.72 ( ~( c_lessequals @ V_A @ V_B @ ( tc_set @ T_a ) ) ) |
% 0.20/0.72 ( ( V_A ) = ( V_B ) ))).
% 0.20/0.72 thf(zip_derived_cl4, plain,
% 0.20/0.72 (![X0 : $i, X1 : $i, X2 : $i]:
% 0.20/0.72 (~ (c_lessequals @ X0 @ X1 @ (tc_set @ X2))
% 0.20/0.72 | ~ (c_lessequals @ X1 @ X0 @ (tc_set @ X2))
% 0.20/0.72 | ((X1) = (X0)))),
% 0.20/0.72 inference('cnf', [status(esa)], [cls_Set_Osubset__antisym_0])).
% 0.20/0.72 thf(zip_derived_cl48, plain,
% 0.20/0.72 (![X0 : $i, X1 : $i]:
% 0.20/0.72 (~ (c_lessequals @ X1 @ c_emptyset @ (tc_set @ X0))
% 0.20/0.72 | ((X1) = (c_emptyset)))),
% 0.20/0.72 inference('s_sup-', [status(thm)], [zip_derived_cl2, zip_derived_cl4])).
% 0.20/0.72 thf(zip_derived_cl55, plain,
% 0.20/0.72 (((c_Zorn_Omaxchain @ v_S @ t_a) = (c_emptyset))),
% 0.20/0.72 inference('s_sup-', [status(thm)], [zip_derived_cl53, zip_derived_cl48])).
% 0.20/0.72 thf(cls_Set_ODiffI_0, axiom,
% 0.20/0.72 (( ~( c_in @ V_c @ V_A @ T_a ) ) | ( c_in @ V_c @ V_B @ T_a ) |
% 0.20/0.72 ( c_in @ V_c @ ( c_minus @ V_A @ V_B @ ( tc_set @ T_a ) ) @ T_a ))).
% 0.20/0.72 thf(zip_derived_cl0, plain,
% 0.20/0.72 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 0.20/0.72 (~ (c_in @ X0 @ X1 @ X2)
% 0.20/0.72 | (c_in @ X0 @ X3 @ X2)
% 0.20/0.72 | (c_in @ X0 @ (c_minus @ X1 @ X3 @ (tc_set @ X2)) @ X2))),
% 0.20/0.72 inference('cnf', [status(esa)], [cls_Set_ODiffI_0])).
% 0.20/0.72 thf(zip_derived_cl6, plain,
% 0.20/0.72 (![X0 : $i, X1 : $i, X2 : $i]:
% 0.20/0.72 (~ (c_lessequals @ X0 @ (c_Zorn_OTFin @ X1 @ X2) @
% 0.20/0.72 (tc_set @ (tc_set @ (tc_set @ X2))))
% 0.20/0.72 | (c_in @ (c_Union @ X0 @ (tc_set @ X2)) @
% 0.20/0.72 (c_Zorn_OTFin @ X1 @ X2) @ (tc_set @ (tc_set @ X2))))),
% 0.20/0.72 inference('cnf', [status(esa)], [cls_Zorn_OTFin__UnionI_0])).
% 0.20/0.72 thf(cls_Zorn_Oequal__succ__Union_1, axiom,
% 0.20/0.72 (( ~( c_in @
% 0.20/0.72 ( c_Union @ ( c_Zorn_OTFin @ V_S @ T_a ) @ ( tc_set @ T_a ) ) @
% 0.20/0.72 ( c_Zorn_OTFin @ V_S @ T_a ) @ ( tc_set @ ( tc_set @ T_a ) ) ) ) |
% 0.20/0.72 ( ( c_Union @ ( c_Zorn_OTFin @ V_S @ T_a ) @ ( tc_set @ T_a ) ) =
% 0.20/0.72 ( c_Zorn_Osucc @
% 0.20/0.72 V_S @ ( c_Union @ ( c_Zorn_OTFin @ V_S @ T_a ) @ ( tc_set @ T_a ) ) @
% 0.20/0.72 T_a ) ))).
% 0.20/0.72 thf(zip_derived_cl8, plain,
% 0.20/0.72 (![X0 : $i, X1 : $i]:
% 0.20/0.72 (~ (c_in @ (c_Union @ (c_Zorn_OTFin @ X0 @ X1) @ (tc_set @ X1)) @
% 0.20/0.72 (c_Zorn_OTFin @ X0 @ X1) @ (tc_set @ (tc_set @ X1)))
% 0.20/0.72 | ((c_Union @ (c_Zorn_OTFin @ X0 @ X1) @ (tc_set @ X1))
% 0.20/0.72 = (c_Zorn_Osucc @ X0 @
% 0.20/0.72 (c_Union @ (c_Zorn_OTFin @ X0 @ X1) @ (tc_set @ X1)) @ X1)))),
% 0.20/0.72 inference('cnf', [status(esa)], [cls_Zorn_Oequal__succ__Union_1])).
% 0.20/0.72 thf(zip_derived_cl58, plain,
% 0.20/0.72 (![X0 : $i, X1 : $i]:
% 0.20/0.72 (~ (c_lessequals @ (c_Zorn_OTFin @ X1 @ X0) @
% 0.20/0.72 (c_Zorn_OTFin @ X1 @ X0) @ (tc_set @ (tc_set @ (tc_set @ X0))))
% 0.20/0.72 | ((c_Union @ (c_Zorn_OTFin @ X1 @ X0) @ (tc_set @ X0))
% 0.20/0.72 = (c_Zorn_Osucc @ X1 @
% 0.20/0.72 (c_Union @ (c_Zorn_OTFin @ X1 @ X0) @ (tc_set @ X0)) @ X0)))),
% 0.20/0.72 inference('s_sup-', [status(thm)], [zip_derived_cl6, zip_derived_cl8])).
% 0.20/0.72 thf(cls_Set_Osubset__refl_0, axiom,
% 0.20/0.72 (c_lessequals @ V_A @ V_A @ ( tc_set @ T_a ))).
% 0.20/0.72 thf(zip_derived_cl5, plain,
% 0.20/0.72 (![X0 : $i, X1 : $i]: (c_lessequals @ X0 @ X0 @ (tc_set @ X1))),
% 0.20/0.72 inference('cnf', [status(esa)], [cls_Set_Osubset__refl_0])).
% 0.20/0.72 thf(zip_derived_cl59, plain,
% 0.20/0.72 (![X0 : $i, X1 : $i]:
% 0.20/0.72 ((c_Union @ (c_Zorn_OTFin @ X1 @ X0) @ (tc_set @ X0))
% 0.20/0.72 = (c_Zorn_Osucc @ X1 @
% 0.20/0.72 (c_Union @ (c_Zorn_OTFin @ X1 @ X0) @ (tc_set @ X0)) @ X0))),
% 0.20/0.72 inference('demod', [status(thm)], [zip_derived_cl58, zip_derived_cl5])).
% 0.20/0.72 thf(cls_Zorn_Osucc__not__equals_0, axiom,
% 0.20/0.72 (( ~( c_in @
% 0.20/0.72 V_c @
% 0.20/0.72 ( c_minus @
% 0.20/0.72 ( c_Zorn_Ochain @ V_S @ T_a ) @ ( c_Zorn_Omaxchain @ V_S @ T_a ) @
% 0.20/0.72 ( tc_set @ ( tc_set @ ( tc_set @ T_a ) ) ) ) @
% 0.20/0.72 ( tc_set @ ( tc_set @ T_a ) ) ) ) |
% 0.20/0.72 ( ( c_Zorn_Osucc @ V_S @ V_c @ T_a ) != ( V_c ) ))).
% 0.20/0.72 thf(zip_derived_cl9, plain,
% 0.20/0.72 (![X0 : $i, X1 : $i, X2 : $i]:
% 0.20/0.72 (~ (c_in @ X0 @
% 0.20/0.72 (c_minus @ (c_Zorn_Ochain @ X1 @ X2) @
% 0.20/0.72 (c_Zorn_Omaxchain @ X1 @ X2) @
% 0.20/0.72 (tc_set @ (tc_set @ (tc_set @ X2)))) @
% 0.20/0.72 (tc_set @ (tc_set @ X2)))
% 0.20/0.72 | ((c_Zorn_Osucc @ X1 @ X0 @ X2) != (X0)))),
% 0.20/0.72 inference('cnf', [status(esa)], [cls_Zorn_Osucc__not__equals_0])).
% 0.20/0.72 thf(zip_derived_cl60, plain,
% 0.20/0.72 (![X0 : $i, X1 : $i]:
% 0.20/0.72 (~ (c_in @ (c_Union @ (c_Zorn_OTFin @ X1 @ X0) @ (tc_set @ X0)) @
% 0.20/0.72 (c_minus @ (c_Zorn_Ochain @ X1 @ X0) @
% 0.20/0.72 (c_Zorn_Omaxchain @ X1 @ X0) @
% 0.20/0.72 (tc_set @ (tc_set @ (tc_set @ X0)))) @
% 0.20/0.72 (tc_set @ (tc_set @ X0)))
% 0.20/0.72 | ((c_Union @ (c_Zorn_OTFin @ X1 @ X0) @ (tc_set @ X0))
% 0.20/0.72 != (c_Union @ (c_Zorn_OTFin @ X1 @ X0) @ (tc_set @ X0))))),
% 0.20/0.72 inference('s_sup-', [status(thm)], [zip_derived_cl59, zip_derived_cl9])).
% 0.20/0.72 thf(zip_derived_cl61, plain,
% 0.20/0.72 (![X0 : $i, X1 : $i]:
% 0.20/0.72 ~ (c_in @ (c_Union @ (c_Zorn_OTFin @ X1 @ X0) @ (tc_set @ X0)) @
% 0.20/0.72 (c_minus @ (c_Zorn_Ochain @ X1 @ X0) @
% 0.20/0.72 (c_Zorn_Omaxchain @ X1 @ X0) @ (tc_set @ (tc_set @ (tc_set @ X0)))) @
% 0.20/0.72 (tc_set @ (tc_set @ X0)))),
% 0.20/0.72 inference('simplify', [status(thm)], [zip_derived_cl60])).
% 0.20/0.72 thf(zip_derived_cl62, plain,
% 0.20/0.72 (![X0 : $i, X1 : $i]:
% 0.20/0.72 ( (c_in @ (c_Union @ (c_Zorn_OTFin @ X1 @ X0) @ (tc_set @ X0)) @
% 0.20/0.72 (c_Zorn_Omaxchain @ X1 @ X0) @ (tc_set @ (tc_set @ X0)))
% 0.20/0.72 | ~ (c_in @ (c_Union @ (c_Zorn_OTFin @ X1 @ X0) @ (tc_set @ X0)) @
% 0.20/0.72 (c_Zorn_Ochain @ X1 @ X0) @ (tc_set @ (tc_set @ X0))))),
% 0.20/0.72 inference('s_sup-', [status(thm)], [zip_derived_cl0, zip_derived_cl61])).
% 0.20/0.72 thf(zip_derived_cl64, plain,
% 0.20/0.72 (( (c_in @ (c_Union @ (c_Zorn_OTFin @ v_S @ t_a) @ (tc_set @ t_a)) @
% 0.20/0.72 c_emptyset @ (tc_set @ (tc_set @ t_a)))
% 0.20/0.72 | ~ (c_in @ (c_Union @ (c_Zorn_OTFin @ v_S @ t_a) @ (tc_set @ t_a)) @
% 0.20/0.72 (c_Zorn_Ochain @ v_S @ t_a) @ (tc_set @ (tc_set @ t_a))))),
% 0.20/0.72 inference('s_sup+', [status(thm)], [zip_derived_cl55, zip_derived_cl62])).
% 0.20/0.72 thf(cls_Set_OemptyE_0, axiom, (~( c_in @ V_a @ c_emptyset @ T_a ))).
% 0.20/0.72 thf(zip_derived_cl1, plain,
% 0.20/0.72 (![X0 : $i, X1 : $i]: ~ (c_in @ X0 @ c_emptyset @ X1)),
% 0.20/0.72 inference('cnf', [status(esa)], [cls_Set_OemptyE_0])).
% 0.20/0.72 thf(zip_derived_cl65, plain,
% 0.20/0.72 (~ (c_in @ (c_Union @ (c_Zorn_OTFin @ v_S @ t_a) @ (tc_set @ t_a)) @
% 0.20/0.72 (c_Zorn_Ochain @ v_S @ t_a) @ (tc_set @ (tc_set @ t_a)))),
% 0.20/0.72 inference('demod', [status(thm)], [zip_derived_cl64, zip_derived_cl1])).
% 0.20/0.72 thf(zip_derived_cl66, plain,
% 0.20/0.72 (~ (c_in @ (c_Union @ (c_Zorn_OTFin @ v_S @ t_a) @ (tc_set @ t_a)) @
% 0.20/0.72 (c_Zorn_OTFin @ v_S @ t_a) @ (tc_set @ (tc_set @ t_a)))),
% 0.20/0.72 inference('s_sup-', [status(thm)], [zip_derived_cl7, zip_derived_cl65])).
% 0.20/0.72 thf(zip_derived_cl69, plain,
% 0.20/0.72 (~ (c_lessequals @ (c_Zorn_OTFin @ v_S @ t_a) @
% 0.20/0.72 (c_Zorn_OTFin @ v_S @ t_a) @ (tc_set @ (tc_set @ (tc_set @ t_a))))),
% 0.20/0.72 inference('s_sup-', [status(thm)], [zip_derived_cl6, zip_derived_cl66])).
% 0.20/0.72 thf(zip_derived_cl5, plain,
% 0.20/0.72 (![X0 : $i, X1 : $i]: (c_lessequals @ X0 @ X0 @ (tc_set @ X1))),
% 0.20/0.72 inference('cnf', [status(esa)], [cls_Set_Osubset__refl_0])).
% 0.20/0.72 thf(zip_derived_cl70, plain, ($false),
% 0.20/0.72 inference('demod', [status(thm)], [zip_derived_cl69, zip_derived_cl5])).
% 0.20/0.72
% 0.20/0.72 % SZS output end Refutation
% 0.20/0.72
% 0.20/0.72
% 0.20/0.72 % /export/starexec/sandbox2/solver/bin/fo/fo3_bce.sh running for 75s
% 0.20/0.72 % Terminating...
% 1.33/0.84 % Runner terminated.
% 1.33/0.85 % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------