TSTP Solution File: SET814+4 by leanCoP---2.2
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- Process Solution
%------------------------------------------------------------------------------
% File : leanCoP---2.2
% Problem : SET814+4 : TPTP v8.1.0. Released v3.2.0.
% Transfm : none
% Format : tptp:raw
% Command : leancop_casc.sh %s %d
% Computer : n018.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 4.64s 5.56s
% Output : Proof 4.64s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : SET814+4 : TPTP v8.1.0. Released v3.2.0.
% 0.03/0.13 % Command : leancop_casc.sh %s %d
% 0.12/0.34 % Computer : n018.cluster.edu
% 0.12/0.34 % Model : x86_64 x86_64
% 0.12/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.34 % Memory : 8042.1875MB
% 0.12/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.34 % CPULimit : 300
% 0.12/0.34 % WCLimit : 600
% 0.12/0.34 % DateTime : Sun Jul 10 14:27:12 EDT 2022
% 0.12/0.34 % CPUTime :
% 4.64/5.56 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p
% 4.64/5.57 % SZS output start Proof for /export/starexec/sandbox/benchmark/theBenchmark.p
% 4.64/5.57
% 4.64/5.57 %-----------------------------------------------------
% 4.64/5.57 fof(thV14, conjecture, ! [_57167] : (member(_57167, on) => subset(sum(_57167), _57167)), file('/export/starexec/sandbox/benchmark/theBenchmark.p', thV14)).
% 4.64/5.57 fof(subset, axiom, ! [_57343, _57346] : (subset(_57343, _57346) <=> ! [_57364] : (member(_57364, _57343) => member(_57364, _57346))), file('/export/starexec/sandbox/benchmark/Axioms/SET006+0.ax', subset)).
% 4.64/5.57 fof(sum, axiom, ! [_57591, _57594] : (member(_57591, sum(_57594)) <=> ? [_57616] : (member(_57616, _57594) & member(_57591, _57616))), file('/export/starexec/sandbox/benchmark/Axioms/SET006+0.ax', sum)).
% 4.64/5.57 fof(ordinal_number, axiom, ! [_57823] : (member(_57823, on) <=> set(_57823) & strict_well_order(member_predicate, _57823) & ! [_57858] : (member(_57858, _57823) => subset(_57858, _57823))), file('/export/starexec/sandbox/benchmark/Axioms/SET006+4.ax', ordinal_number)).
% 4.64/5.57
% 4.64/5.57 cnf(1, plain, [-(member(14 ^ [], on))], clausify(thV14)).
% 4.64/5.57 cnf(2, plain, [subset(sum(14 ^ []), 14 ^ [])], clausify(thV14)).
% 4.64/5.57 cnf(3, plain, [-(subset(_25470, _25526)), -(member(1 ^ [_25526, _25470], _25470))], clausify(subset)).
% 4.64/5.57 cnf(4, plain, [-(subset(_25470, _25526)), member(1 ^ [_25526, _25470], _25526)], clausify(subset)).
% 4.64/5.57 cnf(5, plain, [subset(_25470, _25526), member(_25640, _25470), -(member(_25640, _25526))], clausify(subset)).
% 4.64/5.57 cnf(6, plain, [member(_29253, sum(_29311)), -(member(2 ^ [_29311, _29253], _29311))], clausify(sum)).
% 4.64/5.57 cnf(7, plain, [member(_29253, sum(_29311)), -(member(_29253, 2 ^ [_29311, _29253]))], clausify(sum)).
% 4.64/5.57 cnf(8, plain, [member(_30366, on), member(_30584, _30366), -(subset(_30584, _30366))], clausify(ordinal_number)).
% 4.64/5.57
% 4.64/5.57 cnf('1',plain,[subset(sum(14 ^ []), 14 ^ [])],start(2)).
% 4.64/5.57 cnf('1.1',plain,[-(subset(sum(14 ^ []), 14 ^ [])), -(member(1 ^ [14 ^ [], sum(14 ^ [])], sum(14 ^ [])))],extension(3,bind([[_25526, _25470], [14 ^ [], sum(14 ^ [])]]))).
% 4.64/5.57 cnf('1.1.1',plain,[member(1 ^ [14 ^ [], sum(14 ^ [])], sum(14 ^ [])), -(member(2 ^ [14 ^ [], 1 ^ [14 ^ [], sum(14 ^ [])]], 14 ^ []))],extension(6,bind([[_29253, _29311], [1 ^ [14 ^ [], sum(14 ^ [])], 14 ^ []]]))).
% 4.64/5.57 cnf('1.1.1.1',plain,[member(2 ^ [14 ^ [], 1 ^ [14 ^ [], sum(14 ^ [])]], 14 ^ []), member(14 ^ [], on), -(subset(2 ^ [14 ^ [], 1 ^ [14 ^ [], sum(14 ^ [])]], 14 ^ []))],extension(8,bind([[_30584, _30366], [2 ^ [14 ^ [], 1 ^ [14 ^ [], sum(14 ^ [])]], 14 ^ []]]))).
% 4.64/5.57 cnf('1.1.1.1.1',plain,[-(member(14 ^ [], on))],extension(1)).
% 4.64/5.57 cnf('1.1.1.1.2',plain,[subset(2 ^ [14 ^ [], 1 ^ [14 ^ [], sum(14 ^ [])]], 14 ^ []), member(1 ^ [14 ^ [], sum(14 ^ [])], 2 ^ [14 ^ [], 1 ^ [14 ^ [], sum(14 ^ [])]]), -(member(1 ^ [14 ^ [], sum(14 ^ [])], 14 ^ []))],extension(5,bind([[_25470, _25640, _25526], [2 ^ [14 ^ [], 1 ^ [14 ^ [], sum(14 ^ [])]], 1 ^ [14 ^ [], sum(14 ^ [])], 14 ^ []]]))).
% 4.64/5.57 cnf('1.1.1.1.2.1',plain,[-(member(1 ^ [14 ^ [], sum(14 ^ [])], 2 ^ [14 ^ [], 1 ^ [14 ^ [], sum(14 ^ [])]])), member(1 ^ [14 ^ [], sum(14 ^ [])], sum(14 ^ []))],extension(7,bind([[_29253, _29311], [1 ^ [14 ^ [], sum(14 ^ [])], 14 ^ []]]))).
% 4.64/5.57 cnf('1.1.1.1.2.1.1',plain,[-(member(1 ^ [14 ^ [], sum(14 ^ [])], sum(14 ^ [])))],reduction('1.1')).
% 4.64/5.57 cnf('1.1.1.1.2.2',plain,[member(1 ^ [14 ^ [], sum(14 ^ [])], 14 ^ []), -(subset(sum(14 ^ []), 14 ^ []))],extension(4,bind([[_25470, _25526], [sum(14 ^ []), 14 ^ []]]))).
% 4.64/5.57 cnf('1.1.1.1.2.2.1',plain,[subset(sum(14 ^ []), 14 ^ [])],extension(2)).
% 4.64/5.57 %-----------------------------------------------------
% 4.64/5.58
% 4.64/5.58 % SZS output end Proof for /export/starexec/sandbox/benchmark/theBenchmark.p
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