TSTP Solution File: SET882+1 by leanCoP---2.2
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% File : leanCoP---2.2
% Problem : SET882+1 : TPTP v8.1.0. Released v3.2.0.
% Transfm : none
% Format : tptp:raw
% Command : leancop_casc.sh %s %d
% Computer : n004.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 02:56:48 EDT 2022
% Result : Theorem 0.31s 1.40s
% Output : Proof 0.31s
% Verified :
% SZS Type : -
% Comments :
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%----WARNING: Could not form TPTP format derivation
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%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.11 % Problem : SET882+1 : TPTP v8.1.0. Released v3.2.0.
% 0.06/0.12 % Command : leancop_casc.sh %s %d
% 0.12/0.33 % Computer : n004.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 08:48:22 EDT 2022
% 0.12/0.33 % CPUTime :
% 0.31/1.40 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.31/1.40 % SZS output start Proof for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.31/1.41
% 0.31/1.41 %-----------------------------------------------------
% 0.31/1.41 fof(t23_zfmisc_1, conjecture, ! [_17193, _17196] : ((! _17193) = _17196 => set_difference(unordered_pair(_17193, _17196), singleton(_17196)) = singleton(_17193)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', t23_zfmisc_1)).
% 0.31/1.41 fof(l39_zfmisc_1, axiom, ! [_17405, _17408, _17411] : (set_difference(unordered_pair(_17405, _17408), _17411) = singleton(_17405) <=> ~ in(_17405, _17411) & (in(_17408, _17411) | _17405 = _17408)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', l39_zfmisc_1)).
% 0.31/1.41 fof(d1_tarski, axiom, ! [_17659, _17662] : (_17662 = singleton(_17659) <=> ! [_17680] : (in(_17680, _17662) <=> _17680 = _17659)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', d1_tarski)).
% 0.31/1.41
% 0.31/1.41 cnf(1, plain, [4 ^ [] = 5 ^ []], clausify(t23_zfmisc_1)).
% 0.31/1.41 cnf(2, plain, [set_difference(unordered_pair(4 ^ [], 5 ^ []), singleton(5 ^ [])) = singleton(4 ^ [])], clausify(t23_zfmisc_1)).
% 0.31/1.41 cnf(3, plain, [-(set_difference(unordered_pair(_9904, _9976), _10047) = singleton(_9904)), -(in(_9904, _10047)), in(_9976, _10047)], clausify(l39_zfmisc_1)).
% 0.31/1.41 cnf(4, plain, [_9481 = singleton(_9423), in(_9613, _9481), -(_9613 = _9423)], clausify(d1_tarski)).
% 0.31/1.41 cnf(5, plain, [_9481 = singleton(_9423), -(in(_9613, _9481)), _9613 = _9423], clausify(d1_tarski)).
% 0.31/1.41 cnf(6, plain, [-(_5269 = _5269)], theory(equality)).
% 0.31/1.41
% 0.31/1.41 cnf('1',plain,[set_difference(unordered_pair(4 ^ [], 5 ^ []), singleton(5 ^ [])) = singleton(4 ^ [])],start(2)).
% 0.31/1.41 cnf('1.1',plain,[-(set_difference(unordered_pair(4 ^ [], 5 ^ []), singleton(5 ^ [])) = singleton(4 ^ [])), -(in(4 ^ [], singleton(5 ^ []))), in(5 ^ [], singleton(5 ^ []))],extension(3,bind([[_9904, _9976, _10047], [4 ^ [], 5 ^ [], singleton(5 ^ [])]]))).
% 0.31/1.41 cnf('1.1.1',plain,[in(4 ^ [], singleton(5 ^ [])), singleton(5 ^ []) = singleton(5 ^ []), -(4 ^ [] = 5 ^ [])],extension(4,bind([[_9481, _9613, _9423], [singleton(5 ^ []), 4 ^ [], 5 ^ []]]))).
% 0.31/1.41 cnf('1.1.1.1',plain,[-(singleton(5 ^ []) = singleton(5 ^ []))],extension(6,bind([[_5269], [singleton(5 ^ [])]]))).
% 0.31/1.41 cnf('1.1.1.2',plain,[4 ^ [] = 5 ^ []],extension(1)).
% 0.31/1.41 cnf('1.1.2',plain,[-(in(5 ^ [], singleton(5 ^ []))), singleton(5 ^ []) = singleton(5 ^ []), 5 ^ [] = 5 ^ []],extension(5,bind([[_9481, _9613, _9423], [singleton(5 ^ []), 5 ^ [], 5 ^ []]]))).
% 0.31/1.41 cnf('1.1.2.1',plain,[-(singleton(5 ^ []) = singleton(5 ^ []))],extension(6,bind([[_5269], [singleton(5 ^ [])]]))).
% 0.31/1.41 cnf('1.1.2.2',plain,[-(5 ^ [] = 5 ^ [])],extension(6,bind([[_5269], [5 ^ []]]))).
% 0.31/1.41 %-----------------------------------------------------
% 0.31/1.41
% 0.31/1.42 % SZS output end Proof for /export/starexec/sandbox2/benchmark/theBenchmark.p
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