TSTP Solution File: SET351+4 by leanCoP---2.2
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- Process Solution
%------------------------------------------------------------------------------
% File : leanCoP---2.2
% Problem : SET351+4 : TPTP v8.1.0. Released v2.2.0.
% Transfm : none
% Format : tptp:raw
% Command : leancop_casc.sh %s %d
% Computer : n008.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 02:53:06 EDT 2022
% Result : Theorem 6.23s 6.58s
% Output : Proof 6.29s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : SET351+4 : TPTP v8.1.0. Released v2.2.0.
% 0.07/0.12 % Command : leancop_casc.sh %s %d
% 0.12/0.33 % Computer : n008.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 04:18:38 EDT 2022
% 0.12/0.33 % CPUTime :
% 6.23/6.58 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p
% 6.29/6.59 % SZS output start Proof for /export/starexec/sandbox/benchmark/theBenchmark.p
% 6.29/6.60
% 6.29/6.60 %-----------------------------------------------------
% 6.29/6.60 fof(thI39, conjecture, ! [_38852] : equal_set(sum(singleton(_38852)), _38852), file('/export/starexec/sandbox/benchmark/theBenchmark.p', thI39)).
% 6.29/6.60 fof(subset, axiom, ! [_39024, _39027] : (subset(_39024, _39027) <=> ! [_39045] : (member(_39045, _39024) => member(_39045, _39027))), file('/export/starexec/sandbox/benchmark/Axioms/SET006+0.ax', subset)).
% 6.29/6.60 fof(equal_set, axiom, ! [_39243, _39246] : (equal_set(_39243, _39246) <=> subset(_39243, _39246) & subset(_39246, _39243)), file('/export/starexec/sandbox/benchmark/Axioms/SET006+0.ax', equal_set)).
% 6.29/6.60 fof(singleton, axiom, ! [_39429, _39432] : (member(_39429, singleton(_39432)) <=> _39429 = _39432), file('/export/starexec/sandbox/benchmark/Axioms/SET006+0.ax', singleton)).
% 6.29/6.60 fof(unordered_pair, axiom, ! [_39593, _39596, _39599] : (member(_39593, unordered_pair(_39596, _39599)) <=> _39593 = _39596 | _39593 = _39599), file('/export/starexec/sandbox/benchmark/Axioms/SET006+0.ax', unordered_pair)).
% 6.29/6.60 fof(sum, axiom, ! [_39798, _39801] : (member(_39798, sum(_39801)) <=> ? [_39823] : (member(_39823, _39801) & member(_39798, _39823))), file('/export/starexec/sandbox/benchmark/Axioms/SET006+0.ax', sum)).
% 6.29/6.60
% 6.29/6.60 cnf(1, plain, [equal_set(sum(singleton(4 ^ [])), 4 ^ [])], clausify(thI39)).
% 6.29/6.60 cnf(2, plain, [-(_7804 = _7804)], theory(equality)).
% 6.29/6.60 cnf(3, plain, [-(member(_9403, _9534)), member(_9336, _9469), _9336 = _9403, _9469 = _9534], theory(equality)).
% 6.29/6.60 cnf(4, plain, [-(subset(_10017, _10148)), subset(_9950, _10083), _9950 = _10017, _10083 = _10148], theory(equality)).
% 6.29/6.60 cnf(5, plain, [-(subset(_14562, _14618)), -(member(1 ^ [_14618, _14562], _14562))], clausify(subset)).
% 6.29/6.60 cnf(6, plain, [-(subset(_14562, _14618)), member(1 ^ [_14618, _14562], _14618)], clausify(subset)).
% 6.29/6.60 cnf(7, plain, [-(equal_set(_15023, _15074)), subset(_15023, _15074), subset(_15074, _15023)], clausify(equal_set)).
% 6.29/6.60 cnf(8, plain, [member(_17502, singleton(_17549)), -(_17502 = _17549)], clausify(singleton)).
% 6.29/6.60 cnf(9, plain, [-(member(_17502, singleton(_17549))), _17502 = _17549], clausify(singleton)).
% 6.29/6.60 cnf(10, plain, [-(member(_17832, unordered_pair(_17891, _17949))), _17832 = _17949], clausify(unordered_pair)).
% 6.29/6.60 cnf(11, plain, [member(_17832, unordered_pair(_17891, _17949)), -(_17832 = _17891), -(_17832 = _17949)], clausify(unordered_pair)).
% 6.29/6.60 cnf(12, plain, [member(_18345, sum(_18403)), -(member(2 ^ [_18403, _18345], _18403))], clausify(sum)).
% 6.29/6.60 cnf(13, plain, [member(_18345, sum(_18403)), -(member(_18345, 2 ^ [_18403, _18345]))], clausify(sum)).
% 6.29/6.60 cnf(14, plain, [-(member(_18345, sum(_18403))), member(_18536, _18403), member(_18345, _18536)], clausify(sum)).
% 6.29/6.60
% 6.29/6.60 cnf('1',plain,[equal_set(sum(singleton(4 ^ [])), 4 ^ [])],start(1)).
% 6.29/6.60 cnf('1.1',plain,[-(equal_set(sum(singleton(4 ^ [])), 4 ^ [])), subset(sum(singleton(4 ^ [])), 4 ^ []), subset(4 ^ [], sum(singleton(4 ^ [])))],extension(7,bind([[_15074, _15023], [4 ^ [], sum(singleton(4 ^ []))]]))).
% 6.29/6.60 cnf('1.1.1',plain,[-(subset(sum(singleton(4 ^ [])), 4 ^ [])), -(member(1 ^ [4 ^ [], sum(singleton(4 ^ []))], sum(singleton(4 ^ []))))],extension(5,bind([[_14618, _14562], [4 ^ [], sum(singleton(4 ^ []))]]))).
% 6.29/6.60 cnf('1.1.1.1',plain,[member(1 ^ [4 ^ [], sum(singleton(4 ^ []))], sum(singleton(4 ^ []))), -(member(2 ^ [singleton(4 ^ []), 1 ^ [4 ^ [], sum(singleton(4 ^ []))]], singleton(4 ^ [])))],extension(12,bind([[_18345, _18403], [1 ^ [4 ^ [], sum(singleton(4 ^ []))], singleton(4 ^ [])]]))).
% 6.29/6.60 cnf('1.1.1.1.1',plain,[member(2 ^ [singleton(4 ^ []), 1 ^ [4 ^ [], sum(singleton(4 ^ []))]], singleton(4 ^ [])), -(2 ^ [singleton(4 ^ []), 1 ^ [4 ^ [], sum(singleton(4 ^ []))]] = 4 ^ [])],extension(8,bind([[_17502, _17549], [2 ^ [singleton(4 ^ []), 1 ^ [4 ^ [], sum(singleton(4 ^ []))]], 4 ^ []]]))).
% 6.29/6.60 cnf('1.1.1.1.1.1',plain,[2 ^ [singleton(4 ^ []), 1 ^ [4 ^ [], sum(singleton(4 ^ []))]] = 4 ^ [], -(member(1 ^ [4 ^ [], sum(singleton(4 ^ []))], 4 ^ [])), member(1 ^ [4 ^ [], sum(singleton(4 ^ []))], 2 ^ [singleton(4 ^ []), 1 ^ [4 ^ [], sum(singleton(4 ^ []))]]), 1 ^ [4 ^ [], sum(singleton(4 ^ []))] = 1 ^ [4 ^ [], sum(singleton(4 ^ []))]],extension(3,bind([[_9534, _9469, _9336, _9403], [4 ^ [], 2 ^ [singleton(4 ^ []), 1 ^ [4 ^ [], sum(singleton(4 ^ []))]], 1 ^ [4 ^ [], sum(singleton(4 ^ []))], 1 ^ [4 ^ [], sum(singleton(4 ^ []))]]]))).
% 6.29/6.60 cnf('1.1.1.1.1.1.1',plain,[member(1 ^ [4 ^ [], sum(singleton(4 ^ []))], 4 ^ []), -(subset(sum(singleton(4 ^ [])), 4 ^ []))],extension(6,bind([[_14562, _14618], [sum(singleton(4 ^ [])), 4 ^ []]]))).
% 6.29/6.60 cnf('1.1.1.1.1.1.1.1',plain,[subset(sum(singleton(4 ^ [])), 4 ^ [])],reduction('1.1')).
% 6.29/6.60 cnf('1.1.1.1.1.1.2',plain,[-(member(1 ^ [4 ^ [], sum(singleton(4 ^ []))], 2 ^ [singleton(4 ^ []), 1 ^ [4 ^ [], sum(singleton(4 ^ []))]])), member(1 ^ [4 ^ [], sum(singleton(4 ^ []))], sum(singleton(4 ^ [])))],extension(13,bind([[_18345, _18403], [1 ^ [4 ^ [], sum(singleton(4 ^ []))], singleton(4 ^ [])]]))).
% 6.29/6.60 cnf('1.1.1.1.1.1.2.1',plain,[-(member(1 ^ [4 ^ [], sum(singleton(4 ^ []))], sum(singleton(4 ^ []))))],reduction('1.1.1')).
% 6.29/6.60 cnf('1.1.1.1.1.1.3',plain,[-(1 ^ [4 ^ [], sum(singleton(4 ^ []))] = 1 ^ [4 ^ [], sum(singleton(4 ^ []))])],extension(2,bind([[_7804], [1 ^ [4 ^ [], sum(singleton(4 ^ []))]]]))).
% 6.29/6.60 cnf('1.1.2',plain,[-(subset(4 ^ [], sum(singleton(4 ^ [])))), subset(4 ^ [], 4 ^ []), 4 ^ [] = 4 ^ [], 4 ^ [] = sum(singleton(4 ^ []))],extension(4,bind([[_9950, _10017, _10083, _10148], [4 ^ [], 4 ^ [], 4 ^ [], sum(singleton(4 ^ []))]]))).
% 6.29/6.60 cnf('1.1.2.1',plain,[-(subset(4 ^ [], 4 ^ [])), subset(4 ^ [], 4 ^ []), 4 ^ [] = 4 ^ [], 4 ^ [] = 4 ^ []],extension(4,bind([[_9950, _10017, _10083, _10148], [4 ^ [], 4 ^ [], 4 ^ [], 4 ^ []]]))).
% 6.29/6.60 cnf('1.1.2.1.1',plain,[-(subset(4 ^ [], 4 ^ [])), subset(4 ^ [], 4 ^ []), 4 ^ [] = 4 ^ [], 4 ^ [] = 4 ^ []],extension(4,bind([[_9950, _10017, _10083, _10148], [4 ^ [], 4 ^ [], 4 ^ [], 4 ^ []]]))).
% 6.29/6.60 cnf('1.1.2.1.1.1',plain,[-(subset(4 ^ [], 4 ^ [])), -(member(1 ^ [4 ^ [], 4 ^ []], 4 ^ []))],extension(5,bind([[_14618, _14562], [4 ^ [], 4 ^ []]]))).
% 6.29/6.60 cnf('1.1.2.1.1.1.1',plain,[member(1 ^ [4 ^ [], 4 ^ []], 4 ^ []), -(subset(4 ^ [], 4 ^ []))],extension(6,bind([[_14562, _14618], [4 ^ [], 4 ^ []]]))).
% 6.29/6.60 cnf('1.1.2.1.1.1.1.1',plain,[subset(4 ^ [], 4 ^ [])],reduction('1.1.2.1.1')).
% 6.29/6.60 cnf('1.1.2.1.1.2',plain,[-(4 ^ [] = 4 ^ [])],extension(2,bind([[_7804], [4 ^ []]]))).
% 6.29/6.60 cnf('1.1.2.1.1.3',plain,[-(4 ^ [] = 4 ^ [])],extension(2,bind([[_7804], [4 ^ []]]))).
% 6.29/6.60 cnf('1.1.2.1.2',plain,[-(4 ^ [] = 4 ^ [])],extension(2,bind([[_7804], [4 ^ []]]))).
% 6.29/6.60 cnf('1.1.2.1.3',plain,[-(4 ^ [] = 4 ^ [])],extension(2,bind([[_7804], [4 ^ []]]))).
% 6.29/6.60 cnf('1.1.2.2',plain,[-(4 ^ [] = 4 ^ [])],extension(2,bind([[_7804], [4 ^ []]]))).
% 6.29/6.60 cnf('1.1.2.3',plain,[-(4 ^ [] = sum(singleton(4 ^ []))), member(4 ^ [], unordered_pair(sum(singleton(4 ^ [])), 4 ^ [])), -(4 ^ [] = 4 ^ [])],extension(11,bind([[_17891, _17832, _17949], [sum(singleton(4 ^ [])), 4 ^ [], 4 ^ []]]))).
% 6.29/6.60 cnf('1.1.2.3.1',plain,[-(member(4 ^ [], unordered_pair(sum(singleton(4 ^ [])), 4 ^ []))), 4 ^ [] = 4 ^ []],extension(10,bind([[_17891, _17832, _17949], [sum(singleton(4 ^ [])), 4 ^ [], 4 ^ []]]))).
% 6.29/6.60 cnf('1.1.2.3.1.1',plain,[-(4 ^ [] = 4 ^ [])],extension(2,bind([[_7804], [4 ^ []]]))).
% 6.29/6.60 cnf('1.1.2.3.2',plain,[4 ^ [] = 4 ^ [], -(member(1 ^ [sum(singleton(4 ^ [])), 4 ^ []], 4 ^ [])), member(1 ^ [sum(singleton(4 ^ [])), 4 ^ []], 4 ^ []), 1 ^ [sum(singleton(4 ^ [])), 4 ^ []] = 1 ^ [sum(singleton(4 ^ [])), 4 ^ []]],extension(3,bind([[_9534, _9469, _9336, _9403], [4 ^ [], 4 ^ [], 1 ^ [sum(singleton(4 ^ [])), 4 ^ []], 1 ^ [sum(singleton(4 ^ [])), 4 ^ []]]]))).
% 6.29/6.60 cnf('1.1.2.3.2.1',plain,[member(1 ^ [sum(singleton(4 ^ [])), 4 ^ []], 4 ^ []), -(member(1 ^ [sum(singleton(4 ^ [])), 4 ^ []], sum(singleton(4 ^ [])))), member(4 ^ [], singleton(4 ^ []))],extension(14,bind([[_18345, _18536, _18403], [1 ^ [sum(singleton(4 ^ [])), 4 ^ []], 4 ^ [], singleton(4 ^ [])]]))).
% 6.29/6.60 cnf('1.1.2.3.2.1.1',plain,[member(1 ^ [sum(singleton(4 ^ [])), 4 ^ []], sum(singleton(4 ^ []))), -(subset(4 ^ [], sum(singleton(4 ^ []))))],extension(6,bind([[_14562, _14618], [4 ^ [], sum(singleton(4 ^ []))]]))).
% 6.29/6.60 cnf('1.1.2.3.2.1.1.1',plain,[subset(4 ^ [], sum(singleton(4 ^ [])))],reduction('1.1')).
% 6.29/6.60 cnf('1.1.2.3.2.1.2',plain,[-(member(4 ^ [], singleton(4 ^ []))), 4 ^ [] = 4 ^ []],extension(9,bind([[_17502, _17549], [4 ^ [], 4 ^ []]]))).
% 6.29/6.60 cnf('1.1.2.3.2.1.2.1',plain,[-(4 ^ [] = 4 ^ [])],extension(2,bind([[_7804], [4 ^ []]]))).
% 6.29/6.60 cnf('1.1.2.3.2.2',plain,[-(member(1 ^ [sum(singleton(4 ^ [])), 4 ^ []], 4 ^ [])), member(1 ^ [sum(singleton(4 ^ [])), 4 ^ []], 4 ^ []), 1 ^ [sum(singleton(4 ^ [])), 4 ^ []] = 1 ^ [sum(singleton(4 ^ [])), 4 ^ []], 4 ^ [] = 4 ^ []],extension(3,bind([[_9336, _9403, _9469, _9534], [1 ^ [sum(singleton(4 ^ [])), 4 ^ []], 1 ^ [sum(singleton(4 ^ [])), 4 ^ []], 4 ^ [], 4 ^ []]]))).
% 6.29/6.60 cnf('1.1.2.3.2.2.1',plain,[-(member(1 ^ [sum(singleton(4 ^ [])), 4 ^ []], 4 ^ [])), -(subset(4 ^ [], sum(singleton(4 ^ []))))],extension(5,bind([[_14562, _14618], [4 ^ [], sum(singleton(4 ^ []))]]))).
% 6.29/6.60 cnf('1.1.2.3.2.2.1.1',plain,[subset(4 ^ [], sum(singleton(4 ^ [])))],reduction('1.1')).
% 6.29/6.60 cnf('1.1.2.3.2.2.2',plain,[-(1 ^ [sum(singleton(4 ^ [])), 4 ^ []] = 1 ^ [sum(singleton(4 ^ [])), 4 ^ []])],extension(2,bind([[_7804], [1 ^ [sum(singleton(4 ^ [])), 4 ^ []]]]))).
% 6.29/6.60 cnf('1.1.2.3.2.2.3',plain,[-(4 ^ [] = 4 ^ [])],extension(2,bind([[_7804], [4 ^ []]]))).
% 6.29/6.60 cnf('1.1.2.3.2.3',plain,[-(1 ^ [sum(singleton(4 ^ [])), 4 ^ []] = 1 ^ [sum(singleton(4 ^ [])), 4 ^ []])],extension(2,bind([[_7804], [1 ^ [sum(singleton(4 ^ [])), 4 ^ []]]]))).
% 6.29/6.60 %-----------------------------------------------------
% 6.29/6.60
% 6.29/6.60 % SZS output end Proof for /export/starexec/sandbox/benchmark/theBenchmark.p
%------------------------------------------------------------------------------