%------------------------------------------------------------------------------
% File : leanCoP---2.2
% Problem : SET878+1 : TPTP v8.1.0. Released v3.2.0.
% Transfm : none
% Format : tptp:raw
% Command : leancop_casc.sh %s %d
% Computer : n022.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 02:56:46 EDT 2022
% Result : Theorem 0.29s 1.41s
% Output : Proof 0.29s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : SET878+1 : TPTP v8.1.0. Released v3.2.0.
% 0.03/0.13 % Command : leancop_casc.sh %s %d
% 0.12/0.34 % Computer : n022.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 : Sat Jul 9 23:37:55 EDT 2022
% 0.12/0.34 % CPUTime :
% 0.29/1.41 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.29/1.42 % SZS output start Proof for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.29/1.42
% 0.29/1.42 %-----------------------------------------------------
% 0.29/1.42 fof(t19_zfmisc_1, conjecture, ! [_17930, _17933] : set_intersection2(singleton(_17930), unordered_pair(_17930, _17933)) = singleton(_17930), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', t19_zfmisc_1)).
% 0.29/1.42 fof(commutativity_k2_tarski, axiom, ! [_18095, _18098] : unordered_pair(_18095, _18098) = unordered_pair(_18098, _18095), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', commutativity_k2_tarski)).
% 0.29/1.42 fof(commutativity_k3_xboole_0, axiom, ! [_18241, _18244] : set_intersection2(_18241, _18244) = set_intersection2(_18244, _18241), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', commutativity_k3_xboole_0)).
% 0.29/1.42 fof(l32_zfmisc_1, axiom, ! [_18390, _18393] : (in(_18390, _18393) => set_intersection2(_18393, singleton(_18390)) = singleton(_18390)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', l32_zfmisc_1)).
% 0.29/1.42 fof(d2_tarski, axiom, ! [_18567, _18570, _18573] : (_18573 = unordered_pair(_18567, _18570) <=> ! [_18594] : (in(_18594, _18573) <=> _18594 = _18567 | _18594 = _18570)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', d2_tarski)).
% 0.29/1.42
% 0.29/1.42 cnf(1, plain, [set_intersection2(singleton(4 ^ []), unordered_pair(4 ^ [], 5 ^ [])) = singleton(4 ^ [])], clausify(t19_zfmisc_1)).
% 0.29/1.42 cnf(2, plain, [-(unordered_pair(_9399, _9444) = unordered_pair(_9444, _9399))], clausify(commutativity_k2_tarski)).
% 0.29/1.42 cnf(3, plain, [-(set_intersection2(_9709, _9754) = set_intersection2(_9754, _9709))], clausify(commutativity_k3_xboole_0)).
% 0.29/1.42 cnf(4, plain, [in(_10971, _11023), -(set_intersection2(_11023, singleton(_10971)) = singleton(_10971))], clausify(l32_zfmisc_1)).
% 0.29/1.42 cnf(5, plain, [_10158 = unordered_pair(_10019, _10089), -(in(_10322, _10158)), _10322 = _10089], clausify(d2_tarski)).
% 0.29/1.42 cnf(6, plain, [-(_5555 = _5555)], theory(equality)).
% 0.29/1.42 cnf(7, plain, [-(_5987 = _6098), _5987 = _6043, _6043 = _6098], theory(equality)).
% 0.29/1.42
% 0.29/1.42 cnf('1',plain,[set_intersection2(singleton(4 ^ []), unordered_pair(4 ^ [], 5 ^ [])) = singleton(4 ^ [])],start(1)).
% 0.29/1.42 cnf('1.1',plain,[-(set_intersection2(singleton(4 ^ []), unordered_pair(4 ^ [], 5 ^ [])) = singleton(4 ^ [])), set_intersection2(singleton(4 ^ []), unordered_pair(4 ^ [], 5 ^ [])) = set_intersection2(unordered_pair(4 ^ [], 5 ^ []), singleton(4 ^ [])), set_intersection2(unordered_pair(4 ^ [], 5 ^ []), singleton(4 ^ [])) = singleton(4 ^ [])],extension(7,bind([[_5987, _6043, _6098], [set_intersection2(singleton(4 ^ []), unordered_pair(4 ^ [], 5 ^ [])), set_intersection2(unordered_pair(4 ^ [], 5 ^ []), singleton(4 ^ [])), singleton(4 ^ [])]]))).
% 0.29/1.42 cnf('1.1.1',plain,[-(set_intersection2(singleton(4 ^ []), unordered_pair(4 ^ [], 5 ^ [])) = set_intersection2(unordered_pair(4 ^ [], 5 ^ []), singleton(4 ^ [])))],extension(3,bind([[_9754, _9709], [unordered_pair(4 ^ [], 5 ^ []), singleton(4 ^ [])]]))).
% 0.29/1.42 cnf('1.1.2',plain,[-(set_intersection2(unordered_pair(4 ^ [], 5 ^ []), singleton(4 ^ [])) = singleton(4 ^ [])), in(4 ^ [], unordered_pair(4 ^ [], 5 ^ []))],extension(4,bind([[_10971, _11023], [4 ^ [], unordered_pair(4 ^ [], 5 ^ [])]]))).
% 0.29/1.42 cnf('1.1.2.1',plain,[-(in(4 ^ [], unordered_pair(4 ^ [], 5 ^ []))), unordered_pair(4 ^ [], 5 ^ []) = unordered_pair(5 ^ [], 4 ^ []), 4 ^ [] = 4 ^ []],extension(5,bind([[_10158, _10019, _10322, _10089], [unordered_pair(4 ^ [], 5 ^ []), 5 ^ [], 4 ^ [], 4 ^ []]]))).
% 0.29/1.42 cnf('1.1.2.1.1',plain,[-(unordered_pair(4 ^ [], 5 ^ []) = unordered_pair(5 ^ [], 4 ^ []))],extension(2,bind([[_9444, _9399], [5 ^ [], 4 ^ []]]))).
% 0.29/1.42 cnf('1.1.2.1.2',plain,[-(4 ^ [] = 4 ^ [])],extension(6,bind([[_5555], [4 ^ []]]))).
% 0.29/1.42 %-----------------------------------------------------
% 0.29/1.43
% 0.29/1.43 % SZS output end Proof for /export/starexec/sandbox2/benchmark/theBenchmark.p
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