TSTP Solution File: SET848-1 by Zipperpin---2.1.9999
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : SET848-1 : 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.ti2VvDj3xh true
% Computer : n021.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 16:16:24 EDT 2023
% Result : Unsatisfiable 1.29s 0.81s
% Output : Refutation 1.29s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.11 % Problem : SET848-1 : TPTP v8.1.2. Released v3.2.0.
% 0.00/0.12 % Command : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.ti2VvDj3xh true
% 0.13/0.32 % Computer : n021.cluster.edu
% 0.13/0.32 % Model : x86_64 x86_64
% 0.13/0.32 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.32 % Memory : 8042.1875MB
% 0.13/0.32 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.32 % CPULimit : 300
% 0.13/0.32 % WCLimit : 300
% 0.13/0.32 % DateTime : Sat Aug 26 09:35:12 EDT 2023
% 0.13/0.32 % CPUTime :
% 0.13/0.32 % Running portfolio for 300 s
% 0.13/0.32 % File : /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.13/0.32 % Number of cores: 8
% 0.13/0.32 % Python version: Python 3.6.8
% 0.13/0.33 % Running in FO mode
% 0.17/0.56 % Total configuration time : 435
% 0.17/0.56 % Estimated wc time : 1092
% 0.17/0.56 % Estimated cpu time (7 cpus) : 156.0
% 0.17/0.67 % /export/starexec/sandbox2/solver/bin/fo/fo6_bce.sh running for 75s
% 0.17/0.67 % /export/starexec/sandbox2/solver/bin/fo/fo3_bce.sh running for 75s
% 0.17/0.67 % /export/starexec/sandbox2/solver/bin/fo/fo1_av.sh running for 75s
% 0.17/0.67 % /export/starexec/sandbox2/solver/bin/fo/fo13.sh running for 50s
% 0.17/0.67 % /export/starexec/sandbox2/solver/bin/fo/fo5.sh running for 50s
% 0.17/0.67 % /export/starexec/sandbox2/solver/bin/fo/fo4.sh running for 50s
% 0.17/0.67 % /export/starexec/sandbox2/solver/bin/fo/fo7.sh running for 63s
% 1.19/0.77 % /export/starexec/sandbox2/solver/bin/fo/fo1_lcnf.sh running for 50s
% 1.29/0.81 % Solved by fo/fo3_bce.sh.
% 1.29/0.81 % BCE start: 92
% 1.29/0.81 % BCE eliminated: 57
% 1.29/0.81 % PE start: 35
% 1.29/0.81 logic: eq
% 1.29/0.81 % PE eliminated: 2
% 1.29/0.81 % done 47 iterations in 0.106s
% 1.29/0.81 % SZS status Theorem for '/export/starexec/sandbox2/benchmark/theBenchmark.p'
% 1.29/0.81 % SZS output start Refutation
% 1.29/0.81 thf(c_in_type, type, c_in: $i > $i > $i > $o).
% 1.29/0.81 thf(c_Zorn_Ochain_type, type, c_Zorn_Ochain: $i > $i > $i).
% 1.29/0.81 thf(c_Zorn_OTFin_type, type, c_Zorn_OTFin: $i > $i > $i).
% 1.29/0.81 thf(t_a_type, type, t_a: $i).
% 1.29/0.81 thf(tc_set_type, type, tc_set: $i > $i).
% 1.29/0.81 thf(c_Zorn_Omaxchain_type, type, c_Zorn_Omaxchain: $i > $i > $i).
% 1.29/0.81 thf(c_lessequals_type, type, c_lessequals: $i > $i > $i > $o).
% 1.29/0.81 thf(c_Zorn_Osucc_type, type, c_Zorn_Osucc: $i > $i > $i > $i).
% 1.29/0.81 thf(c_minus_type, type, c_minus: $i > $i > $i > $i).
% 1.29/0.81 thf(v_S_type, type, v_S: $i).
% 1.29/0.81 thf(c_Union_type, type, c_Union: $i > $i > $i).
% 1.29/0.81 thf(cls_Zorn_OTFin__chain__lemma4_0, axiom,
% 1.29/0.81 (( ~( c_in @
% 1.29/0.81 V_c @ ( c_Zorn_OTFin @ V_S @ T_a ) @ ( tc_set @ ( tc_set @ T_a ) ) ) ) |
% 1.29/0.81 ( c_in @
% 1.29/0.81 V_c @ ( c_Zorn_Ochain @ V_S @ T_a ) @ ( tc_set @ ( tc_set @ T_a ) ) ))).
% 1.29/0.81 thf(zip_derived_cl85, plain,
% 1.29/0.81 (![X0 : $i, X1 : $i, X2 : $i]:
% 1.29/0.81 (~ (c_in @ X0 @ (c_Zorn_OTFin @ X1 @ X2) @ (tc_set @ (tc_set @ X2)))
% 1.29/0.81 | (c_in @ X0 @ (c_Zorn_Ochain @ X1 @ X2) @ (tc_set @ (tc_set @ X2))))),
% 1.29/0.81 inference('cnf', [status(esa)], [cls_Zorn_OTFin__chain__lemma4_0])).
% 1.29/0.81 thf(cls_Set_ODiffI_0, axiom,
% 1.29/0.81 (( ~( c_in @ V_c @ V_A @ T_a ) ) | ( c_in @ V_c @ V_B @ T_a ) |
% 1.29/0.81 ( c_in @ V_c @ ( c_minus @ V_A @ V_B @ ( tc_set @ T_a ) ) @ T_a ))).
% 1.29/0.81 thf(zip_derived_cl9, plain,
% 1.29/0.81 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 1.29/0.81 (~ (c_in @ X0 @ X1 @ X2)
% 1.29/0.81 | (c_in @ X0 @ X3 @ X2)
% 1.29/0.81 | (c_in @ X0 @ (c_minus @ X1 @ X3 @ (tc_set @ X2)) @ X2))),
% 1.29/0.81 inference('cnf', [status(esa)], [cls_Set_ODiffI_0])).
% 1.29/0.81 thf(cls_conjecture_1, conjecture,
% 1.29/0.81 (( c_Zorn_Osucc @
% 1.29/0.81 v_S @ ( c_Union @ ( c_Zorn_OTFin @ v_S @ t_a ) @ ( tc_set @ t_a ) ) @
% 1.29/0.81 t_a ) !=
% 1.29/0.81 ( c_Union @ ( c_Zorn_OTFin @ v_S @ t_a ) @ ( tc_set @ t_a ) ))).
% 1.29/0.81 thf(zf_stmt_0, negated_conjecture,
% 1.29/0.81 (( c_Zorn_Osucc @
% 1.29/0.81 v_S @ ( c_Union @ ( c_Zorn_OTFin @ v_S @ t_a ) @ ( tc_set @ t_a ) ) @
% 1.29/0.81 t_a ) =
% 1.29/0.81 ( c_Union @ ( c_Zorn_OTFin @ v_S @ t_a ) @ ( tc_set @ t_a ) )),
% 1.29/0.81 inference('cnf.neg', [status(esa)], [cls_conjecture_1])).
% 1.29/0.81 thf(zip_derived_cl90, plain,
% 1.29/0.81 (((c_Zorn_Osucc @ v_S @
% 1.29/0.81 (c_Union @ (c_Zorn_OTFin @ v_S @ t_a) @ (tc_set @ t_a)) @ t_a)
% 1.29/0.81 = (c_Union @ (c_Zorn_OTFin @ v_S @ t_a) @ (tc_set @ t_a)))),
% 1.29/0.81 inference('cnf', [status(esa)], [zf_stmt_0])).
% 1.29/0.81 thf(cls_Zorn_Osucc__not__equals_0, axiom,
% 1.29/0.81 (( ~( c_in @
% 1.29/0.81 V_c @
% 1.29/0.81 ( c_minus @
% 1.29/0.81 ( c_Zorn_Ochain @ V_S @ T_a ) @ ( c_Zorn_Omaxchain @ V_S @ T_a ) @
% 1.29/0.81 ( tc_set @ ( tc_set @ ( tc_set @ T_a ) ) ) ) @
% 1.29/0.81 ( tc_set @ ( tc_set @ T_a ) ) ) ) |
% 1.29/0.81 ( ( c_Zorn_Osucc @ V_S @ V_c @ T_a ) != ( V_c ) ))).
% 1.29/0.81 thf(zip_derived_cl88, plain,
% 1.29/0.81 (![X0 : $i, X1 : $i, X2 : $i]:
% 1.29/0.81 (~ (c_in @ X0 @
% 1.29/0.81 (c_minus @ (c_Zorn_Ochain @ X1 @ X2) @
% 1.29/0.81 (c_Zorn_Omaxchain @ X1 @ X2) @
% 1.29/0.81 (tc_set @ (tc_set @ (tc_set @ X2)))) @
% 1.29/0.81 (tc_set @ (tc_set @ X2)))
% 1.29/0.81 | ((c_Zorn_Osucc @ X1 @ X0 @ X2) != (X0)))),
% 1.29/0.81 inference('cnf', [status(esa)], [cls_Zorn_Osucc__not__equals_0])).
% 1.29/0.81 thf(zip_derived_cl234, plain,
% 1.29/0.81 ((((c_Union @ (c_Zorn_OTFin @ v_S @ t_a) @ (tc_set @ t_a))
% 1.29/0.81 != (c_Union @ (c_Zorn_OTFin @ v_S @ t_a) @ (tc_set @ t_a)))
% 1.29/0.81 | ~ (c_in @ (c_Union @ (c_Zorn_OTFin @ v_S @ t_a) @ (tc_set @ t_a)) @
% 1.29/0.81 (c_minus @ (c_Zorn_Ochain @ v_S @ t_a) @
% 1.29/0.81 (c_Zorn_Omaxchain @ v_S @ t_a) @
% 1.29/0.81 (tc_set @ (tc_set @ (tc_set @ t_a)))) @
% 1.29/0.81 (tc_set @ (tc_set @ t_a))))),
% 1.29/0.81 inference('sup-', [status(thm)], [zip_derived_cl90, zip_derived_cl88])).
% 1.29/0.81 thf(zip_derived_cl235, plain,
% 1.29/0.81 (~ (c_in @ (c_Union @ (c_Zorn_OTFin @ v_S @ t_a) @ (tc_set @ t_a)) @
% 1.29/0.81 (c_minus @ (c_Zorn_Ochain @ v_S @ t_a) @
% 1.29/0.81 (c_Zorn_Omaxchain @ v_S @ t_a) @
% 1.29/0.81 (tc_set @ (tc_set @ (tc_set @ t_a)))) @
% 1.29/0.81 (tc_set @ (tc_set @ t_a)))),
% 1.29/0.81 inference('simplify', [status(thm)], [zip_derived_cl234])).
% 1.29/0.81 thf(zip_derived_cl242, plain,
% 1.29/0.81 (( (c_in @ (c_Union @ (c_Zorn_OTFin @ v_S @ t_a) @ (tc_set @ t_a)) @
% 1.29/0.81 (c_Zorn_Omaxchain @ v_S @ t_a) @ (tc_set @ (tc_set @ t_a)))
% 1.29/0.81 | ~ (c_in @ (c_Union @ (c_Zorn_OTFin @ v_S @ t_a) @ (tc_set @ t_a)) @
% 1.29/0.81 (c_Zorn_Ochain @ v_S @ t_a) @ (tc_set @ (tc_set @ t_a))))),
% 1.29/0.81 inference('sup-', [status(thm)], [zip_derived_cl9, zip_derived_cl235])).
% 1.29/0.81 thf(cls_conjecture_2, conjecture,
% 1.29/0.81 (c_in @
% 1.29/0.81 ( c_Union @ ( c_Zorn_OTFin @ v_S @ t_a ) @ ( tc_set @ t_a ) ) @
% 1.29/0.81 ( c_Zorn_Omaxchain @ v_S @ t_a ) @ ( tc_set @ ( tc_set @ t_a ) ))).
% 1.29/0.81 thf(zf_stmt_1, negated_conjecture,
% 1.29/0.81 (~( c_in @
% 1.29/0.81 ( c_Union @ ( c_Zorn_OTFin @ v_S @ t_a ) @ ( tc_set @ t_a ) ) @
% 1.29/0.81 ( c_Zorn_Omaxchain @ v_S @ t_a ) @ ( tc_set @ ( tc_set @ t_a ) ) )),
% 1.29/0.81 inference('cnf.neg', [status(esa)], [cls_conjecture_2])).
% 1.29/0.81 thf(zip_derived_cl89, plain,
% 1.29/0.81 (~ (c_in @ (c_Union @ (c_Zorn_OTFin @ v_S @ t_a) @ (tc_set @ t_a)) @
% 1.29/0.81 (c_Zorn_Omaxchain @ v_S @ t_a) @ (tc_set @ (tc_set @ t_a)))),
% 1.29/0.81 inference('cnf', [status(esa)], [zf_stmt_1])).
% 1.29/0.81 thf(zip_derived_cl252, plain,
% 1.29/0.81 (~ (c_in @ (c_Union @ (c_Zorn_OTFin @ v_S @ t_a) @ (tc_set @ t_a)) @
% 1.29/0.81 (c_Zorn_Ochain @ v_S @ t_a) @ (tc_set @ (tc_set @ t_a)))),
% 1.29/0.81 inference('clc', [status(thm)], [zip_derived_cl242, zip_derived_cl89])).
% 1.29/0.81 thf(zip_derived_cl265, plain,
% 1.29/0.81 (~ (c_in @ (c_Union @ (c_Zorn_OTFin @ v_S @ t_a) @ (tc_set @ t_a)) @
% 1.29/0.81 (c_Zorn_OTFin @ v_S @ t_a) @ (tc_set @ (tc_set @ t_a)))),
% 1.29/0.81 inference('sup-', [status(thm)], [zip_derived_cl85, zip_derived_cl252])).
% 1.29/0.81 thf(cls_Zorn_OTFin__UnionI_0, axiom,
% 1.29/0.81 (( ~( c_lessequals @
% 1.29/0.81 V_Y @ ( c_Zorn_OTFin @ V_S @ T_a ) @
% 1.29/0.81 ( tc_set @ ( tc_set @ ( tc_set @ T_a ) ) ) ) ) |
% 1.29/0.81 ( c_in @
% 1.29/0.81 ( c_Union @ V_Y @ ( tc_set @ T_a ) ) @ ( c_Zorn_OTFin @ V_S @ T_a ) @
% 1.29/0.81 ( tc_set @ ( tc_set @ T_a ) ) ))).
% 1.29/0.81 thf(zip_derived_cl84, plain,
% 1.29/0.81 (![X0 : $i, X1 : $i, X2 : $i]:
% 1.29/0.81 (~ (c_lessequals @ X0 @ (c_Zorn_OTFin @ X1 @ X2) @
% 1.29/0.81 (tc_set @ (tc_set @ (tc_set @ X2))))
% 1.29/0.81 | (c_in @ (c_Union @ X0 @ (tc_set @ X2)) @
% 1.29/0.81 (c_Zorn_OTFin @ X1 @ X2) @ (tc_set @ (tc_set @ X2))))),
% 1.29/0.81 inference('cnf', [status(esa)], [cls_Zorn_OTFin__UnionI_0])).
% 1.29/0.81 thf(cls_Set_Osubset__refl_0, axiom,
% 1.29/0.81 (c_lessequals @ V_A @ V_A @ ( tc_set @ T_a ))).
% 1.29/0.81 thf(zip_derived_cl23, plain,
% 1.29/0.81 (![X0 : $i, X1 : $i]: (c_lessequals @ X0 @ X0 @ (tc_set @ X1))),
% 1.29/0.81 inference('cnf', [status(esa)], [cls_Set_Osubset__refl_0])).
% 1.29/0.81 thf(zip_derived_cl267, plain,
% 1.29/0.81 (![X0 : $i, X1 : $i]:
% 1.29/0.81 (c_in @ (c_Union @ (c_Zorn_OTFin @ X1 @ X0) @ (tc_set @ X0)) @
% 1.29/0.81 (c_Zorn_OTFin @ X1 @ X0) @ (tc_set @ (tc_set @ X0)))),
% 1.29/0.81 inference('sup+', [status(thm)], [zip_derived_cl84, zip_derived_cl23])).
% 1.29/0.81 thf(zip_derived_cl279, plain, ($false),
% 1.29/0.81 inference('demod', [status(thm)], [zip_derived_cl265, zip_derived_cl267])).
% 1.29/0.81
% 1.29/0.81 % SZS output end Refutation
% 1.29/0.81
% 1.29/0.81
% 1.29/0.81 % Terminating...
% 1.29/0.88 % Runner terminated.
% 1.29/0.89 % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------