TSTP Solution File: SET881+1 by leanCoP---2.2
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- Process Solution
%------------------------------------------------------------------------------
% File : leanCoP---2.2
% Problem : SET881+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 02:56:47 EDT 2022
% Result : Theorem 0.34s 1.41s
% Output : Proof 0.34s
% Verified :
% SZS Type : -
% Comments :
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%----WARNING: Could not form TPTP format derivation
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%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : SET881+1 : TPTP v8.1.0. Released v3.2.0.
% 0.07/0.13 % Command : leancop_casc.sh %s %d
% 0.13/0.34 % Computer : n004.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % WCLimit : 600
% 0.13/0.34 % DateTime : Sun Jul 10 11:50:07 EDT 2022
% 0.13/0.34 % CPUTime :
% 0.34/1.41 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.34/1.42 % SZS output start Proof for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.34/1.42
% 0.34/1.42 %-----------------------------------------------------
% 0.34/1.42 fof(t22_zfmisc_1, conjecture, ! [_16042, _16045] : set_difference(singleton(_16042), unordered_pair(_16042, _16045)) = empty_set, file('/export/starexec/sandbox/benchmark/theBenchmark.p', t22_zfmisc_1)).
% 0.34/1.42 fof(commutativity_k2_tarski, axiom, ! [_16198, _16201] : unordered_pair(_16198, _16201) = unordered_pair(_16201, _16198), file('/export/starexec/sandbox/benchmark/theBenchmark.p', commutativity_k2_tarski)).
% 0.34/1.42 fof(l36_zfmisc_1, axiom, ! [_16348, _16351] : (set_difference(singleton(_16348), _16351) = empty_set <=> in(_16348, _16351)), file('/export/starexec/sandbox/benchmark/theBenchmark.p', l36_zfmisc_1)).
% 0.34/1.42 fof(d2_tarski, axiom, ! [_16516, _16519, _16522] : (_16522 = unordered_pair(_16516, _16519) <=> ! [_16543] : (in(_16543, _16522) <=> _16543 = _16516 | _16543 = _16519)), file('/export/starexec/sandbox/benchmark/theBenchmark.p', d2_tarski)).
% 0.34/1.42
% 0.34/1.42 cnf(1, plain, [set_difference(singleton(4 ^ []), unordered_pair(4 ^ [], 5 ^ [])) = empty_set], clausify(t22_zfmisc_1)).
% 0.34/1.42 cnf(2, plain, [-(unordered_pair(_8918, _8963) = unordered_pair(_8963, _8918))], clausify(commutativity_k2_tarski)).
% 0.34/1.42 cnf(3, plain, [-(set_difference(singleton(_10025), _10075) = empty_set), in(_10025, _10075)], clausify(l36_zfmisc_1)).
% 0.34/1.42 cnf(4, plain, [_9367 = unordered_pair(_9228, _9298), -(in(_9531, _9367)), _9531 = _9298], clausify(d2_tarski)).
% 0.34/1.42 cnf(5, plain, [-(_5074 = _5074)], theory(equality)).
% 0.34/1.42
% 0.34/1.42 cnf('1',plain,[set_difference(singleton(4 ^ []), unordered_pair(4 ^ [], 5 ^ [])) = empty_set],start(1)).
% 0.34/1.42 cnf('1.1',plain,[-(set_difference(singleton(4 ^ []), unordered_pair(4 ^ [], 5 ^ [])) = empty_set), in(4 ^ [], unordered_pair(4 ^ [], 5 ^ []))],extension(3,bind([[_10025, _10075], [4 ^ [], unordered_pair(4 ^ [], 5 ^ [])]]))).
% 0.34/1.42 cnf('1.1.1',plain,[-(in(4 ^ [], unordered_pair(4 ^ [], 5 ^ []))), unordered_pair(4 ^ [], 5 ^ []) = unordered_pair(5 ^ [], 4 ^ []), 4 ^ [] = 4 ^ []],extension(4,bind([[_9367, _9228, _9531, _9298], [unordered_pair(4 ^ [], 5 ^ []), 5 ^ [], 4 ^ [], 4 ^ []]]))).
% 0.34/1.42 cnf('1.1.1.1',plain,[-(unordered_pair(4 ^ [], 5 ^ []) = unordered_pair(5 ^ [], 4 ^ []))],extension(2,bind([[_8963, _8918], [5 ^ [], 4 ^ []]]))).
% 0.34/1.42 cnf('1.1.1.2',plain,[-(4 ^ [] = 4 ^ [])],extension(5,bind([[_5074], [4 ^ []]]))).
% 0.34/1.42 %-----------------------------------------------------
% 0.34/1.43
% 0.34/1.43 % SZS output end Proof for /export/starexec/sandbox/benchmark/theBenchmark.p
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