TSTP Solution File: SET812+4 by leanCoP---2.2
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : leanCoP---2.2
% Problem : SET812+4 : TPTP v8.1.0. Released v3.2.0.
% Transfm : none
% Format : tptp:raw
% Command : leancop_casc.sh %s %d
% Computer : n017.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 02:56:08 EDT 2022
% Result : Theorem 11.74s 11.73s
% Output : Proof 11.81s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.13 % Problem : SET812+4 : TPTP v8.1.0. Released v3.2.0.
% 0.11/0.13 % Command : leancop_casc.sh %s %d
% 0.13/0.35 % Computer : n017.cluster.edu
% 0.13/0.35 % Model : x86_64 x86_64
% 0.13/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.35 % Memory : 8042.1875MB
% 0.13/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.35 % CPULimit : 300
% 0.13/0.35 % WCLimit : 600
% 0.13/0.35 % DateTime : Sun Jul 10 06:46:02 EDT 2022
% 0.13/0.35 % CPUTime :
% 11.74/11.73 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p
% 11.74/11.73 % SZS output start Proof for /export/starexec/sandbox/benchmark/theBenchmark.p
% 11.81/11.74
% 11.81/11.74 %-----------------------------------------------------
% 11.81/11.74 fof(thV10, conjecture, ! [_59425] : (member(_59425, on) => equal_set(_59425, intersection(_59425, power_set(_59425)))), file('/export/starexec/sandbox/benchmark/theBenchmark.p', thV10)).
% 11.81/11.74 fof(subset, axiom, ! [_59639, _59642] : (subset(_59639, _59642) <=> ! [_59660] : (member(_59660, _59639) => member(_59660, _59642))), file('/export/starexec/sandbox/benchmark/Axioms/SET006+0.ax', subset)).
% 11.81/11.74 fof(equal_set, axiom, ! [_59858, _59861] : (equal_set(_59858, _59861) <=> subset(_59858, _59861) & subset(_59861, _59858)), file('/export/starexec/sandbox/benchmark/Axioms/SET006+0.ax', equal_set)).
% 11.81/11.74 fof(power_set, axiom, ! [_60033, _60036] : (member(_60033, power_set(_60036)) <=> subset(_60033, _60036)), file('/export/starexec/sandbox/benchmark/Axioms/SET006+0.ax', power_set)).
% 11.81/11.74 fof(intersection, axiom, ! [_60188, _60191, _60194] : (member(_60188, intersection(_60191, _60194)) <=> member(_60188, _60191) & member(_60188, _60194)), file('/export/starexec/sandbox/benchmark/Axioms/SET006+0.ax', intersection)).
% 11.81/11.74 fof(ordinal_number, axiom, ! [_60422] : (member(_60422, on) <=> set(_60422) & strict_well_order(member_predicate, _60422) & ! [_60457] : (member(_60457, _60422) => subset(_60457, _60422))), file('/export/starexec/sandbox/benchmark/Axioms/SET006+4.ax', ordinal_number)).
% 11.81/11.74
% 11.81/11.74 cnf(1, plain, [-(member(14 ^ [], on))], clausify(thV10)).
% 11.81/11.74 cnf(2, plain, [equal_set(14 ^ [], intersection(14 ^ [], power_set(14 ^ [])))], clausify(thV10)).
% 11.81/11.74 cnf(3, plain, [-(_13203 = _13203)], theory(equality)).
% 11.81/11.74 cnf(4, plain, [-(member(_16852, _16983)), member(_16785, _16918), _16785 = _16852, _16918 = _16983], theory(equality)).
% 11.81/11.74 cnf(5, plain, [-(subset(_25057, _25113)), -(member(1 ^ [_25113, _25057], _25057))], clausify(subset)).
% 11.81/11.74 cnf(6, plain, [-(subset(_25057, _25113)), member(1 ^ [_25113, _25057], _25113)], clausify(subset)).
% 11.81/11.74 cnf(7, plain, [-(equal_set(_25518, _25569)), subset(_25518, _25569), subset(_25569, _25518)], clausify(equal_set)).
% 11.81/11.74 cnf(8, plain, [-(member(_25914, power_set(_25961))), subset(_25914, _25961)], clausify(power_set)).
% 11.81/11.74 cnf(9, plain, [member(_26244, intersection(_26303, _26361)), -(member(_26244, _26303))], clausify(intersection)).
% 11.81/11.74 cnf(10, plain, [-(member(_26244, intersection(_26303, _26361))), member(_26244, _26303), member(_26244, _26361)], clausify(intersection)).
% 11.81/11.74 cnf(11, plain, [member(_29943, on), member(_30161, _29943), -(subset(_30161, _29943))], clausify(ordinal_number)).
% 11.81/11.74
% 11.81/11.74 cnf('1',plain,[equal_set(14 ^ [], intersection(14 ^ [], power_set(14 ^ [])))],start(2)).
% 11.81/11.74 cnf('1.1',plain,[-(equal_set(14 ^ [], intersection(14 ^ [], power_set(14 ^ [])))), subset(14 ^ [], intersection(14 ^ [], power_set(14 ^ []))), subset(intersection(14 ^ [], power_set(14 ^ [])), 14 ^ [])],extension(7,bind([[_25569, _25518], [intersection(14 ^ [], power_set(14 ^ [])), 14 ^ []]]))).
% 11.81/11.74 cnf('1.1.1',plain,[-(subset(14 ^ [], intersection(14 ^ [], power_set(14 ^ [])))), -(member(1 ^ [intersection(14 ^ [], power_set(14 ^ [])), 14 ^ []], 14 ^ []))],extension(5,bind([[_25113, _25057], [intersection(14 ^ [], power_set(14 ^ [])), 14 ^ []]]))).
% 11.81/11.74 cnf('1.1.1.1',plain,[member(1 ^ [intersection(14 ^ [], power_set(14 ^ [])), 14 ^ []], 14 ^ []), -(member(1 ^ [intersection(14 ^ [], power_set(14 ^ [])), 14 ^ []], intersection(14 ^ [], power_set(14 ^ [])))), member(1 ^ [intersection(14 ^ [], power_set(14 ^ [])), 14 ^ []], power_set(14 ^ []))],extension(10,bind([[_26303, _26244, _26361], [14 ^ [], 1 ^ [intersection(14 ^ [], power_set(14 ^ [])), 14 ^ []], power_set(14 ^ [])]]))).
% 11.81/11.74 cnf('1.1.1.1.1',plain,[member(1 ^ [intersection(14 ^ [], power_set(14 ^ [])), 14 ^ []], intersection(14 ^ [], power_set(14 ^ []))), -(member(1 ^ [intersection(14 ^ [], power_set(14 ^ [])), 14 ^ []], intersection(14 ^ [], power_set(14 ^ [])))), 1 ^ [intersection(14 ^ [], power_set(14 ^ [])), 14 ^ []] = 1 ^ [intersection(14 ^ [], power_set(14 ^ [])), 14 ^ []], intersection(14 ^ [], power_set(14 ^ [])) = intersection(14 ^ [], power_set(14 ^ []))],extension(4,bind([[_16785, _16852, _16918, _16983], [1 ^ [intersection(14 ^ [], power_set(14 ^ [])), 14 ^ []], 1 ^ [intersection(14 ^ [], power_set(14 ^ [])), 14 ^ []], intersection(14 ^ [], power_set(14 ^ [])), intersection(14 ^ [], power_set(14 ^ []))]]))).
% 11.81/11.74 cnf('1.1.1.1.1.1',plain,[member(1 ^ [intersection(14 ^ [], power_set(14 ^ [])), 14 ^ []], intersection(14 ^ [], power_set(14 ^ []))), -(subset(14 ^ [], intersection(14 ^ [], power_set(14 ^ []))))],extension(6,bind([[_25057, _25113], [14 ^ [], intersection(14 ^ [], power_set(14 ^ []))]]))).
% 11.81/11.74 cnf('1.1.1.1.1.1.1',plain,[subset(14 ^ [], intersection(14 ^ [], power_set(14 ^ [])))],reduction('1.1')).
% 11.81/11.74 cnf('1.1.1.1.1.2',plain,[-(1 ^ [intersection(14 ^ [], power_set(14 ^ [])), 14 ^ []] = 1 ^ [intersection(14 ^ [], power_set(14 ^ [])), 14 ^ []])],extension(3,bind([[_13203], [1 ^ [intersection(14 ^ [], power_set(14 ^ [])), 14 ^ []]]]))).
% 11.81/11.74 cnf('1.1.1.1.1.3',plain,[-(intersection(14 ^ [], power_set(14 ^ [])) = intersection(14 ^ [], power_set(14 ^ [])))],extension(3,bind([[_13203], [intersection(14 ^ [], power_set(14 ^ []))]]))).
% 11.81/11.74 cnf('1.1.1.1.2',plain,[-(member(1 ^ [intersection(14 ^ [], power_set(14 ^ [])), 14 ^ []], power_set(14 ^ []))), subset(1 ^ [intersection(14 ^ [], power_set(14 ^ [])), 14 ^ []], 14 ^ [])],extension(8,bind([[_25914, _25961], [1 ^ [intersection(14 ^ [], power_set(14 ^ [])), 14 ^ []], 14 ^ []]]))).
% 11.81/11.74 cnf('1.1.1.1.2.1',plain,[-(subset(1 ^ [intersection(14 ^ [], power_set(14 ^ [])), 14 ^ []], 14 ^ [])), member(14 ^ [], on), member(1 ^ [intersection(14 ^ [], power_set(14 ^ [])), 14 ^ []], 14 ^ [])],extension(11,bind([[_30161, _29943], [1 ^ [intersection(14 ^ [], power_set(14 ^ [])), 14 ^ []], 14 ^ []]]))).
% 11.81/11.74 cnf('1.1.1.1.2.1.1',plain,[-(member(14 ^ [], on))],extension(1)).
% 11.81/11.74 cnf('1.1.1.1.2.1.2',plain,[-(member(1 ^ [intersection(14 ^ [], power_set(14 ^ [])), 14 ^ []], 14 ^ []))],reduction('1.1.1')).
% 11.81/11.74 cnf('1.1.2',plain,[-(subset(intersection(14 ^ [], power_set(14 ^ [])), 14 ^ [])), -(member(1 ^ [14 ^ [], intersection(14 ^ [], power_set(14 ^ []))], intersection(14 ^ [], power_set(14 ^ []))))],extension(5,bind([[_25113, _25057], [14 ^ [], intersection(14 ^ [], power_set(14 ^ []))]]))).
% 11.81/11.74 cnf('1.1.2.1',plain,[member(1 ^ [14 ^ [], intersection(14 ^ [], power_set(14 ^ []))], intersection(14 ^ [], power_set(14 ^ []))), -(member(1 ^ [14 ^ [], intersection(14 ^ [], power_set(14 ^ []))], 14 ^ []))],extension(9,bind([[_26361, _26244, _26303], [power_set(14 ^ []), 1 ^ [14 ^ [], intersection(14 ^ [], power_set(14 ^ []))], 14 ^ []]]))).
% 11.81/11.74 cnf('1.1.2.1.1',plain,[member(1 ^ [14 ^ [], intersection(14 ^ [], power_set(14 ^ []))], 14 ^ []), -(member(1 ^ [14 ^ [], intersection(14 ^ [], power_set(14 ^ []))], 14 ^ [])), 1 ^ [14 ^ [], intersection(14 ^ [], power_set(14 ^ []))] = 1 ^ [14 ^ [], intersection(14 ^ [], power_set(14 ^ []))], 14 ^ [] = 14 ^ []],extension(4,bind([[_16785, _16852, _16918, _16983], [1 ^ [14 ^ [], intersection(14 ^ [], power_set(14 ^ []))], 1 ^ [14 ^ [], intersection(14 ^ [], power_set(14 ^ []))], 14 ^ [], 14 ^ []]]))).
% 11.81/11.74 cnf('1.1.2.1.1.1',plain,[member(1 ^ [14 ^ [], intersection(14 ^ [], power_set(14 ^ []))], 14 ^ []), -(subset(intersection(14 ^ [], power_set(14 ^ [])), 14 ^ []))],extension(6,bind([[_25057, _25113], [intersection(14 ^ [], power_set(14 ^ [])), 14 ^ []]]))).
% 11.81/11.74 cnf('1.1.2.1.1.1.1',plain,[subset(intersection(14 ^ [], power_set(14 ^ [])), 14 ^ [])],reduction('1.1')).
% 11.81/11.74 cnf('1.1.2.1.1.2',plain,[-(1 ^ [14 ^ [], intersection(14 ^ [], power_set(14 ^ []))] = 1 ^ [14 ^ [], intersection(14 ^ [], power_set(14 ^ []))])],extension(3,bind([[_13203], [1 ^ [14 ^ [], intersection(14 ^ [], power_set(14 ^ []))]]]))).
% 11.81/11.74 cnf('1.1.2.1.1.3',plain,[-(14 ^ [] = 14 ^ [])],extension(3,bind([[_13203], [14 ^ []]]))).
% 11.81/11.74 %-----------------------------------------------------
% 11.81/11.74
% 11.81/11.74 % SZS output end Proof for /export/starexec/sandbox/benchmark/theBenchmark.p
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