TSTP Solution File: SET598+3 by leanCoP---2.2
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : leanCoP---2.2
% Problem : SET598+3 : TPTP v8.1.0. Released v2.2.0.
% Transfm : none
% Format : tptp:raw
% Command : leancop_casc.sh %s %d
% Computer : n028.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 : 600s
% DateTime : Tue Jul 19 02:54:33 EDT 2022
% Result : Theorem 0.96s 1.40s
% Output : Proof 0.96s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : SET598+3 : TPTP v8.1.0. Released v2.2.0.
% 0.07/0.12 % Command : leancop_casc.sh %s %d
% 0.12/0.33 % Computer : n028.cluster.edu
% 0.12/0.33 % Model : x86_64 x86_64
% 0.12/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33 % Memory : 8042.1875MB
% 0.12/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33 % CPULimit : 300
% 0.12/0.33 % WCLimit : 600
% 0.12/0.33 % DateTime : Mon Jul 11 08:51:58 EDT 2022
% 0.12/0.33 % CPUTime :
% 0.96/1.40 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.96/1.40 % SZS output start Proof for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.96/1.41
% 0.96/1.41 %-----------------------------------------------------
% 0.96/1.41 fof(prove_th57, conjecture, ! [_32504, _32507, _32510] : (_32504 = intersection(_32507, _32510) <=> subset(_32504, _32507) & subset(_32504, _32510) & ! [_32551] : (subset(_32551, _32507) & subset(_32551, _32510) => subset(_32551, _32504))), file('/export/starexec/sandbox/benchmark/theBenchmark.p', prove_th57)).
% 0.96/1.41 fof(intersection_is_subset, axiom, ! [_32964, _32967] : subset(intersection(_32964, _32967), _32964), file('/export/starexec/sandbox/benchmark/theBenchmark.p', intersection_is_subset)).
% 0.96/1.41 fof(intersection_of_subsets, axiom, ! [_33098, _33101, _33104] : (subset(_33098, _33101) & subset(_33098, _33104) => subset(_33098, intersection(_33101, _33104))), file('/export/starexec/sandbox/benchmark/theBenchmark.p', intersection_of_subsets)).
% 0.96/1.41 fof(intersection_defn, axiom, ! [_33299, _33302, _33305] : (member(_33305, intersection(_33299, _33302)) <=> member(_33305, _33299) & member(_33305, _33302)), file('/export/starexec/sandbox/benchmark/theBenchmark.p', intersection_defn)).
% 0.96/1.41 fof(subset_defn, axiom, ! [_33524, _33527] : (subset(_33524, _33527) <=> ! [_33545] : (member(_33545, _33524) => member(_33545, _33527))), file('/export/starexec/sandbox/benchmark/theBenchmark.p', subset_defn)).
% 0.96/1.41 fof(equal_defn, axiom, ! [_33743, _33746] : (_33743 = _33746 <=> subset(_33743, _33746) & subset(_33746, _33743)), file('/export/starexec/sandbox/benchmark/theBenchmark.p', equal_defn)).
% 0.96/1.41
% 0.96/1.41 cnf(1, plain, [-(9 ^ []), -(subset(_15091, 3 ^ [])), subset(_15091, 4 ^ []), subset(_15091, 5 ^ [])], clausify(prove_th57)).
% 0.96/1.41 cnf(2, plain, [-(9 ^ []), -(subset(3 ^ [], 5 ^ []))], clausify(prove_th57)).
% 0.96/1.41 cnf(3, plain, [-(9 ^ []), -(subset(3 ^ [], 4 ^ []))], clausify(prove_th57)).
% 0.96/1.41 cnf(4, plain, [-(9 ^ []), 3 ^ [] = intersection(4 ^ [], 5 ^ [])], clausify(prove_th57)).
% 0.96/1.41 cnf(5, plain, [-(7 ^ []), subset(6 ^ [], 3 ^ [])], clausify(prove_th57)).
% 0.96/1.41 cnf(6, plain, [-(7 ^ []), -(subset(6 ^ [], 5 ^ []))], clausify(prove_th57)).
% 0.96/1.41 cnf(7, plain, [-(7 ^ []), -(subset(6 ^ [], 4 ^ []))], clausify(prove_th57)).
% 0.96/1.41 cnf(8, plain, [-(8 ^ []), subset(3 ^ [], 4 ^ []), subset(3 ^ [], 5 ^ []), 7 ^ []], clausify(prove_th57)).
% 0.96/1.41 cnf(9, plain, [-(8 ^ []), -(3 ^ [] = intersection(4 ^ [], 5 ^ []))], clausify(prove_th57)).
% 0.96/1.41 cnf(10, plain, [8 ^ [], 9 ^ []], clausify(prove_th57)).
% 0.96/1.41 cnf(11, plain, [-(_6161 = _6161)], theory(equality)).
% 0.96/1.41 cnf(12, plain, [_6314 = _6359, -(_6359 = _6314)], theory(equality)).
% 0.96/1.41 cnf(13, plain, [-(member(_7136, _7267)), member(_7069, _7202), _7069 = _7136, _7202 = _7267], theory(equality)).
% 0.96/1.41 cnf(14, plain, [-(subset(_7750, _7881)), subset(_7683, _7816), _7683 = _7750, _7816 = _7881], theory(equality)).
% 0.96/1.41 cnf(15, plain, [-(subset(intersection(_8987, _9029), _8987))], clausify(intersection_is_subset)).
% 0.96/1.41 cnf(16, plain, [-(subset(_9254, intersection(_9313, _9371))), subset(_9254, _9313), subset(_9254, _9371)], clausify(intersection_of_subsets)).
% 0.96/1.41 cnf(17, plain, [member(_9884, intersection(_9767, _9826)), -(member(_9884, _9767))], clausify(intersection_defn)).
% 0.96/1.41 cnf(18, plain, [member(_9884, intersection(_9767, _9826)), -(member(_9884, _9826))], clausify(intersection_defn)).
% 0.96/1.41 cnf(19, plain, [-(member(_9884, intersection(_9767, _9826))), member(_9884, _9767), member(_9884, _9826)], clausify(intersection_defn)).
% 0.96/1.41 cnf(20, plain, [-(subset(_10280, _10336)), -(member(1 ^ [_10336, _10280], _10280))], clausify(subset_defn)).
% 0.96/1.41 cnf(21, plain, [-(subset(_10280, _10336)), member(1 ^ [_10336, _10280], _10336)], clausify(subset_defn)).
% 0.96/1.41 cnf(22, plain, [-(_10741 = _10792), subset(_10741, _10792), subset(_10792, _10741)], clausify(equal_defn)).
% 0.96/1.41
% 0.96/1.41 cnf('1',plain,[8 ^ [], 9 ^ []],start(10)).
% 0.96/1.41 cnf('1.1',plain,[-(8 ^ []), subset(3 ^ [], 4 ^ []), subset(3 ^ [], 5 ^ []), 7 ^ []],extension(8)).
% 0.96/1.41 cnf('1.1.1',plain,[-(subset(3 ^ [], 4 ^ [])), -(member(1 ^ [4 ^ [], 3 ^ []], 3 ^ []))],extension(20,bind([[_10336, _10280], [4 ^ [], 3 ^ []]]))).
% 0.96/1.41 cnf('1.1.1.1',plain,[member(1 ^ [4 ^ [], 3 ^ []], 3 ^ []), -(member(1 ^ [4 ^ [], 3 ^ []], intersection(3 ^ [], 4 ^ []))), member(1 ^ [4 ^ [], 3 ^ []], 4 ^ [])],extension(19,bind([[_9767, _9884, _9826], [3 ^ [], 1 ^ [4 ^ [], 3 ^ []], 4 ^ []]]))).
% 0.96/1.41 cnf('1.1.1.1.1',plain,[member(1 ^ [4 ^ [], 3 ^ []], intersection(3 ^ [], 4 ^ [])), -(member(1 ^ [4 ^ [], 3 ^ []], 4 ^ []))],extension(18,bind([[_9767, _9884, _9826], [3 ^ [], 1 ^ [4 ^ [], 3 ^ []], 4 ^ []]]))).
% 0.96/1.41 cnf('1.1.1.1.1.1',plain,[member(1 ^ [4 ^ [], 3 ^ []], 4 ^ []), -(member(1 ^ [4 ^ [], 3 ^ []], 4 ^ [])), 1 ^ [4 ^ [], 3 ^ []] = 1 ^ [4 ^ [], 3 ^ []], 4 ^ [] = 4 ^ []],extension(13,bind([[_7069, _7136, _7202, _7267], [1 ^ [4 ^ [], 3 ^ []], 1 ^ [4 ^ [], 3 ^ []], 4 ^ [], 4 ^ []]]))).
% 0.96/1.41 cnf('1.1.1.1.1.1.1',plain,[member(1 ^ [4 ^ [], 3 ^ []], 4 ^ []), -(subset(3 ^ [], 4 ^ []))],extension(21,bind([[_10280, _10336], [3 ^ [], 4 ^ []]]))).
% 0.96/1.41 cnf('1.1.1.1.1.1.1.1',plain,[subset(3 ^ [], 4 ^ [])],reduction('1.1')).
% 0.96/1.41 cnf('1.1.1.1.1.1.2',plain,[-(1 ^ [4 ^ [], 3 ^ []] = 1 ^ [4 ^ [], 3 ^ []])],extension(11,bind([[_6161], [1 ^ [4 ^ [], 3 ^ []]]]))).
% 0.96/1.41 cnf('1.1.1.1.1.1.3',plain,[-(4 ^ [] = 4 ^ [])],extension(11,bind([[_6161], [4 ^ []]]))).
% 0.96/1.41 cnf('1.1.1.1.2',plain,[-(member(1 ^ [4 ^ [], 3 ^ []], 4 ^ [])), member(1 ^ [4 ^ [], 3 ^ []], intersection(4 ^ [], 5 ^ []))],extension(17,bind([[_9884, _9767, _9826], [1 ^ [4 ^ [], 3 ^ []], 4 ^ [], 5 ^ []]]))).
% 0.96/1.41 cnf('1.1.1.1.2.1',plain,[-(member(1 ^ [4 ^ [], 3 ^ []], intersection(4 ^ [], 5 ^ []))), member(1 ^ [4 ^ [], 3 ^ []], 3 ^ []), 1 ^ [4 ^ [], 3 ^ []] = 1 ^ [4 ^ [], 3 ^ []], 3 ^ [] = intersection(4 ^ [], 5 ^ [])],extension(13,bind([[_7069, _7136, _7202, _7267], [1 ^ [4 ^ [], 3 ^ []], 1 ^ [4 ^ [], 3 ^ []], 3 ^ [], intersection(4 ^ [], 5 ^ [])]]))).
% 0.96/1.41 cnf('1.1.1.1.2.1.1',plain,[-(member(1 ^ [4 ^ [], 3 ^ []], 3 ^ []))],reduction('1.1.1')).
% 0.96/1.41 cnf('1.1.1.1.2.1.2',plain,[-(1 ^ [4 ^ [], 3 ^ []] = 1 ^ [4 ^ [], 3 ^ []])],extension(11,bind([[_6161], [1 ^ [4 ^ [], 3 ^ []]]]))).
% 0.96/1.41 cnf('1.1.1.1.2.1.3',plain,[-(3 ^ [] = intersection(4 ^ [], 5 ^ [])), -(8 ^ [])],extension(9)).
% 0.96/1.41 cnf('1.1.1.1.2.1.3.1',plain,[8 ^ []],reduction('1')).
% 0.96/1.41 cnf('1.1.2',plain,[-(subset(3 ^ [], 5 ^ [])), -(member(1 ^ [5 ^ [], 3 ^ []], 3 ^ []))],extension(20,bind([[_10336, _10280], [5 ^ [], 3 ^ []]]))).
% 0.96/1.41 cnf('1.1.2.1',plain,[member(1 ^ [5 ^ [], 3 ^ []], 3 ^ []), -(member(1 ^ [5 ^ [], 3 ^ []], intersection(3 ^ [], 5 ^ []))), member(1 ^ [5 ^ [], 3 ^ []], 5 ^ [])],extension(19,bind([[_9767, _9884, _9826], [3 ^ [], 1 ^ [5 ^ [], 3 ^ []], 5 ^ []]]))).
% 0.96/1.41 cnf('1.1.2.1.1',plain,[member(1 ^ [5 ^ [], 3 ^ []], intersection(3 ^ [], 5 ^ [])), -(member(1 ^ [5 ^ [], 3 ^ []], 5 ^ []))],extension(18,bind([[_9767, _9884, _9826], [3 ^ [], 1 ^ [5 ^ [], 3 ^ []], 5 ^ []]]))).
% 0.96/1.41 cnf('1.1.2.1.1.1',plain,[member(1 ^ [5 ^ [], 3 ^ []], 5 ^ []), -(member(1 ^ [5 ^ [], 3 ^ []], 5 ^ [])), 1 ^ [5 ^ [], 3 ^ []] = 1 ^ [5 ^ [], 3 ^ []], 5 ^ [] = 5 ^ []],extension(13,bind([[_7069, _7136, _7202, _7267], [1 ^ [5 ^ [], 3 ^ []], 1 ^ [5 ^ [], 3 ^ []], 5 ^ [], 5 ^ []]]))).
% 0.96/1.41 cnf('1.1.2.1.1.1.1',plain,[member(1 ^ [5 ^ [], 3 ^ []], 5 ^ []), -(subset(3 ^ [], 5 ^ []))],extension(21,bind([[_10280, _10336], [3 ^ [], 5 ^ []]]))).
% 0.96/1.41 cnf('1.1.2.1.1.1.1.1',plain,[subset(3 ^ [], 5 ^ [])],reduction('1.1')).
% 0.96/1.41 cnf('1.1.2.1.1.1.2',plain,[-(1 ^ [5 ^ [], 3 ^ []] = 1 ^ [5 ^ [], 3 ^ []])],extension(11,bind([[_6161], [1 ^ [5 ^ [], 3 ^ []]]]))).
% 0.96/1.41 cnf('1.1.2.1.1.1.3',plain,[-(5 ^ [] = 5 ^ [])],extension(11,bind([[_6161], [5 ^ []]]))).
% 0.96/1.41 cnf('1.1.2.1.2',plain,[-(member(1 ^ [5 ^ [], 3 ^ []], 5 ^ [])), member(1 ^ [5 ^ [], 3 ^ []], intersection(4 ^ [], 5 ^ []))],extension(18,bind([[_9884, _9767, _9826], [1 ^ [5 ^ [], 3 ^ []], 4 ^ [], 5 ^ []]]))).
% 0.96/1.41 cnf('1.1.2.1.2.1',plain,[-(member(1 ^ [5 ^ [], 3 ^ []], intersection(4 ^ [], 5 ^ []))), member(1 ^ [5 ^ [], 3 ^ []], 3 ^ []), 1 ^ [5 ^ [], 3 ^ []] = 1 ^ [5 ^ [], 3 ^ []], 3 ^ [] = intersection(4 ^ [], 5 ^ [])],extension(13,bind([[_7069, _7136, _7202, _7267], [1 ^ [5 ^ [], 3 ^ []], 1 ^ [5 ^ [], 3 ^ []], 3 ^ [], intersection(4 ^ [], 5 ^ [])]]))).
% 0.96/1.41 cnf('1.1.2.1.2.1.1',plain,[-(member(1 ^ [5 ^ [], 3 ^ []], 3 ^ []))],reduction('1.1.2')).
% 0.96/1.41 cnf('1.1.2.1.2.1.2',plain,[-(1 ^ [5 ^ [], 3 ^ []] = 1 ^ [5 ^ [], 3 ^ []])],extension(11,bind([[_6161], [1 ^ [5 ^ [], 3 ^ []]]]))).
% 0.96/1.41 cnf('1.1.2.1.2.1.3',plain,[-(3 ^ [] = intersection(4 ^ [], 5 ^ [])), -(8 ^ [])],extension(9)).
% 0.96/1.41 cnf('1.1.2.1.2.1.3.1',plain,[8 ^ []],reduction('1')).
% 0.96/1.41 cnf('1.1.3',plain,[-(7 ^ []), -(subset(6 ^ [], 5 ^ []))],extension(6)).
% 0.96/1.41 cnf('1.1.3.1',plain,[subset(6 ^ [], 5 ^ []), -(subset(6 ^ [], intersection(4 ^ [], 5 ^ []))), subset(6 ^ [], 4 ^ [])],extension(16,bind([[_9371, _9254, _9313], [5 ^ [], 6 ^ [], 4 ^ []]]))).
% 0.96/1.41 cnf('1.1.3.1.1',plain,[subset(6 ^ [], intersection(4 ^ [], 5 ^ [])), -(subset(6 ^ [], 3 ^ [])), 6 ^ [] = 6 ^ [], intersection(4 ^ [], 5 ^ []) = 3 ^ []],extension(14,bind([[_7683, _7750, _7816, _7881], [6 ^ [], 6 ^ [], intersection(4 ^ [], 5 ^ []), 3 ^ []]]))).
% 0.96/1.41 cnf('1.1.3.1.1.1',plain,[subset(6 ^ [], 3 ^ []), -(7 ^ [])],extension(5)).
% 0.96/1.41 cnf('1.1.3.1.1.1.1',plain,[7 ^ []],reduction('1.1')).
% 0.96/1.41 cnf('1.1.3.1.1.2',plain,[-(6 ^ [] = 6 ^ [])],extension(11,bind([[_6161], [6 ^ []]]))).
% 0.96/1.41 cnf('1.1.3.1.1.3',plain,[-(intersection(4 ^ [], 5 ^ []) = 3 ^ []), 3 ^ [] = intersection(4 ^ [], 5 ^ [])],extension(12,bind([[_6314, _6359], [3 ^ [], intersection(4 ^ [], 5 ^ [])]]))).
% 0.96/1.41 cnf('1.1.3.1.1.3.1',plain,[-(3 ^ [] = intersection(4 ^ [], 5 ^ [])), -(8 ^ [])],extension(9)).
% 0.96/1.41 cnf('1.1.3.1.1.3.1.1',plain,[8 ^ []],reduction('1')).
% 0.96/1.41 cnf('1.1.3.1.2',plain,[-(subset(6 ^ [], 4 ^ [])), -(7 ^ [])],extension(7)).
% 0.96/1.41 cnf('1.1.3.1.2.1',plain,[7 ^ []],reduction('1.1')).
% 0.96/1.41 cnf('1.2',plain,[-(9 ^ []), 3 ^ [] = intersection(4 ^ [], 5 ^ [])],extension(4)).
% 0.96/1.41 cnf('1.2.1',plain,[-(3 ^ [] = intersection(4 ^ [], 5 ^ [])), subset(3 ^ [], intersection(4 ^ [], 5 ^ [])), subset(intersection(4 ^ [], 5 ^ []), 3 ^ [])],extension(22,bind([[_10792, _10741], [intersection(4 ^ [], 5 ^ []), 3 ^ []]]))).
% 0.96/1.41 cnf('1.2.1.1',plain,[-(subset(3 ^ [], intersection(4 ^ [], 5 ^ []))), subset(3 ^ [], 4 ^ []), subset(3 ^ [], 5 ^ [])],extension(16,bind([[_9313, _9254, _9371], [4 ^ [], 3 ^ [], 5 ^ []]]))).
% 0.96/1.41 cnf('1.2.1.1.1',plain,[-(subset(3 ^ [], 4 ^ [])), -(9 ^ [])],extension(3)).
% 0.96/1.41 cnf('1.2.1.1.1.1',plain,[9 ^ []],reduction('1')).
% 0.96/1.41 cnf('1.2.1.1.2',plain,[-(subset(3 ^ [], 5 ^ [])), -(9 ^ [])],extension(2)).
% 0.96/1.41 cnf('1.2.1.1.2.1',plain,[9 ^ []],reduction('1')).
% 0.96/1.41 cnf('1.2.1.2',plain,[-(subset(intersection(4 ^ [], 5 ^ []), 3 ^ [])), -(9 ^ []), subset(intersection(4 ^ [], 5 ^ []), 4 ^ []), subset(intersection(4 ^ [], 5 ^ []), 5 ^ [])],extension(1,bind([[_15091], [intersection(4 ^ [], 5 ^ [])]]))).
% 0.96/1.41 cnf('1.2.1.2.1',plain,[9 ^ []],reduction('1')).
% 0.96/1.41 cnf('1.2.1.2.2',plain,[-(subset(intersection(4 ^ [], 5 ^ []), 4 ^ []))],extension(15,bind([[_9029, _8987], [5 ^ [], 4 ^ []]]))).
% 0.96/1.41 cnf('1.2.1.2.3',plain,[-(subset(intersection(4 ^ [], 5 ^ []), 5 ^ [])), -(member(1 ^ [5 ^ [], intersection(4 ^ [], 5 ^ [])], intersection(4 ^ [], 5 ^ [])))],extension(20,bind([[_10336, _10280], [5 ^ [], intersection(4 ^ [], 5 ^ [])]]))).
% 0.96/1.41 cnf('1.2.1.2.3.1',plain,[member(1 ^ [5 ^ [], intersection(4 ^ [], 5 ^ [])], intersection(4 ^ [], 5 ^ [])), -(member(1 ^ [5 ^ [], intersection(4 ^ [], 5 ^ [])], 5 ^ []))],extension(18,bind([[_9767, _9884, _9826], [4 ^ [], 1 ^ [5 ^ [], intersection(4 ^ [], 5 ^ [])], 5 ^ []]]))).
% 0.96/1.41 cnf('1.2.1.2.3.1.1',plain,[member(1 ^ [5 ^ [], intersection(4 ^ [], 5 ^ [])], 5 ^ []), -(subset(intersection(4 ^ [], 5 ^ []), 5 ^ []))],extension(21,bind([[_10280, _10336], [intersection(4 ^ [], 5 ^ []), 5 ^ []]]))).
% 0.96/1.41 cnf('1.2.1.2.3.1.1.1',plain,[subset(intersection(4 ^ [], 5 ^ []), 5 ^ [])],reduction('1.2.1.2')).
% 0.96/1.41 %-----------------------------------------------------
% 0.96/1.41
% 0.96/1.42 % SZS output end Proof for /export/starexec/sandbox/benchmark/theBenchmark.p
%------------------------------------------------------------------------------