TSTP Solution File: SEU129+1 by leanCoP---2.2
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- Process Solution
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% File : leanCoP---2.2
% Problem : SEU129+1 : TPTP v8.1.0. Released v3.3.0.
% Transfm : none
% Format : tptp:raw
% Command : leancop_casc.sh %s %d
% Computer : n006.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 12:00:18 EDT 2022
% Result : Theorem 0.38s 1.42s
% Output : Proof 0.47s
% Verified :
% SZS Type : -
% Comments :
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%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : SEU129+1 : TPTP v8.1.0. Released v3.3.0.
% 0.12/0.13 % Command : leancop_casc.sh %s %d
% 0.13/0.34 % Computer : n006.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 Jun 19 12:29:25 EDT 2022
% 0.13/0.34 % CPUTime :
% 0.38/1.42 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.38/1.43 % SZS output start Proof for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.38/1.44
% 0.38/1.44 %-----------------------------------------------------
% 0.38/1.44 fof(t26_xboole_1, conjecture, ! [_26587, _26590, _26593] : (subset(_26587, _26590) => subset(set_intersection2(_26587, _26593), set_intersection2(_26590, _26593))), file('/export/starexec/sandbox/benchmark/theBenchmark.p', t26_xboole_1)).
% 0.38/1.44 fof(commutativity_k3_xboole_0, axiom, ! [_26828, _26831] : set_intersection2(_26828, _26831) = set_intersection2(_26831, _26828), file('/export/starexec/sandbox/benchmark/theBenchmark.p', commutativity_k3_xboole_0)).
% 0.38/1.44 fof(d3_tarski, axiom, ! [_26974, _26977] : (subset(_26974, _26977) <=> ! [_26995] : (in(_26995, _26974) => in(_26995, _26977))), file('/export/starexec/sandbox/benchmark/theBenchmark.p', d3_tarski)).
% 0.38/1.44 fof(d3_xboole_0, axiom, ! [_27211, _27214, _27217] : (_27217 = set_intersection2(_27211, _27214) <=> ! [_27238] : (in(_27238, _27217) <=> in(_27238, _27211) & in(_27238, _27214))), file('/export/starexec/sandbox/benchmark/theBenchmark.p', d3_xboole_0)).
% 0.38/1.44
% 0.38/1.44 cnf(1, plain, [-(subset(5 ^ [], 6 ^ []))], clausify(t26_xboole_1)).
% 0.38/1.44 cnf(2, plain, [subset(set_intersection2(5 ^ [], 7 ^ []), set_intersection2(6 ^ [], 7 ^ []))], clausify(t26_xboole_1)).
% 0.38/1.44 cnf(3, plain, [-(set_intersection2(_9369, _9502) = set_intersection2(_9436, _9567)), _9369 = _9436, _9502 = _9567], theory(equality)).
% 0.38/1.44 cnf(4, plain, [-(_6859 = _6859)], theory(equality)).
% 0.38/1.44 cnf(5, plain, [-(in(_8163, _8294)), in(_8096, _8229), _8096 = _8163, _8229 = _8294], theory(equality)).
% 0.38/1.44 cnf(6, plain, [-(set_intersection2(_10359, _10404) = set_intersection2(_10404, _10359))], clausify(commutativity_k3_xboole_0)).
% 0.38/1.44 cnf(7, plain, [-(subset(_10669, _10725)), -(in(1 ^ [_10725, _10669], _10669))], clausify(d3_tarski)).
% 0.38/1.44 cnf(8, plain, [-(subset(_10669, _10725)), in(1 ^ [_10725, _10669], _10725)], clausify(d3_tarski)).
% 0.38/1.44 cnf(9, plain, [subset(_10669, _10725), in(_10839, _10669), -(in(_10839, _10725))], clausify(d3_tarski)).
% 0.38/1.44 cnf(10, plain, [_11269 = set_intersection2(_11130, _11200), in(_11433, _11269), -(in(_11433, _11130))], clausify(d3_xboole_0)).
% 0.38/1.44 cnf(11, plain, [_11269 = set_intersection2(_11130, _11200), -(in(_11433, _11269)), in(_11433, _11130), in(_11433, _11200)], clausify(d3_xboole_0)).
% 0.38/1.44
% 0.38/1.44 cnf('1',plain,[subset(set_intersection2(5 ^ [], 7 ^ []), set_intersection2(6 ^ [], 7 ^ []))],start(2)).
% 0.38/1.44 cnf('1.1',plain,[-(subset(set_intersection2(5 ^ [], 7 ^ []), set_intersection2(6 ^ [], 7 ^ []))), in(1 ^ [set_intersection2(6 ^ [], 7 ^ []), set_intersection2(5 ^ [], 7 ^ [])], set_intersection2(6 ^ [], 7 ^ []))],extension(8,bind([[_10669, _10725], [set_intersection2(5 ^ [], 7 ^ []), set_intersection2(6 ^ [], 7 ^ [])]]))).
% 0.38/1.44 cnf('1.1.1',plain,[-(in(1 ^ [set_intersection2(6 ^ [], 7 ^ []), set_intersection2(5 ^ [], 7 ^ [])], set_intersection2(6 ^ [], 7 ^ []))), set_intersection2(6 ^ [], 7 ^ []) = set_intersection2(6 ^ [], 7 ^ []), in(1 ^ [set_intersection2(6 ^ [], 7 ^ []), set_intersection2(5 ^ [], 7 ^ [])], 6 ^ []), in(1 ^ [set_intersection2(6 ^ [], 7 ^ []), set_intersection2(5 ^ [], 7 ^ [])], 7 ^ [])],extension(11,bind([[_11269, _11130, _11433, _11200], [set_intersection2(6 ^ [], 7 ^ []), 6 ^ [], 1 ^ [set_intersection2(6 ^ [], 7 ^ []), set_intersection2(5 ^ [], 7 ^ [])], 7 ^ []]]))).
% 0.38/1.44 cnf('1.1.1.1',plain,[-(set_intersection2(6 ^ [], 7 ^ []) = set_intersection2(6 ^ [], 7 ^ [])), 6 ^ [] = 6 ^ [], 7 ^ [] = 7 ^ []],extension(3,bind([[_9369, _9436, _9502, _9567], [6 ^ [], 6 ^ [], 7 ^ [], 7 ^ []]]))).
% 0.38/1.44 cnf('1.1.1.1.1',plain,[-(6 ^ [] = 6 ^ [])],extension(4,bind([[_6859], [6 ^ []]]))).
% 0.38/1.44 cnf('1.1.1.1.2',plain,[-(7 ^ [] = 7 ^ [])],extension(4,bind([[_6859], [7 ^ []]]))).
% 0.38/1.44 cnf('1.1.1.2',plain,[-(in(1 ^ [set_intersection2(6 ^ [], 7 ^ []), set_intersection2(5 ^ [], 7 ^ [])], 6 ^ [])), subset(5 ^ [], 6 ^ []), in(1 ^ [set_intersection2(6 ^ [], 7 ^ []), set_intersection2(5 ^ [], 7 ^ [])], 5 ^ [])],extension(9,bind([[_10725, _10839, _10669], [6 ^ [], 1 ^ [set_intersection2(6 ^ [], 7 ^ []), set_intersection2(5 ^ [], 7 ^ [])], 5 ^ []]]))).
% 0.38/1.44 cnf('1.1.1.2.1',plain,[-(subset(5 ^ [], 6 ^ []))],extension(1)).
% 0.38/1.44 cnf('1.1.1.2.2',plain,[-(in(1 ^ [set_intersection2(6 ^ [], 7 ^ []), set_intersection2(5 ^ [], 7 ^ [])], 5 ^ [])), set_intersection2(5 ^ [], 7 ^ []) = set_intersection2(5 ^ [], 7 ^ []), in(1 ^ [set_intersection2(6 ^ [], 7 ^ []), set_intersection2(5 ^ [], 7 ^ [])], set_intersection2(5 ^ [], 7 ^ []))],extension(10,bind([[_11130, _11200, _11433, _11269], [5 ^ [], 7 ^ [], 1 ^ [set_intersection2(6 ^ [], 7 ^ []), set_intersection2(5 ^ [], 7 ^ [])], set_intersection2(5 ^ [], 7 ^ [])]]))).
% 0.38/1.44 cnf('1.1.1.2.2.1',plain,[-(set_intersection2(5 ^ [], 7 ^ []) = set_intersection2(5 ^ [], 7 ^ []))],extension(4,bind([[_6859], [set_intersection2(5 ^ [], 7 ^ [])]]))).
% 0.38/1.44 cnf('1.1.1.2.2.2',plain,[-(in(1 ^ [set_intersection2(6 ^ [], 7 ^ []), set_intersection2(5 ^ [], 7 ^ [])], set_intersection2(5 ^ [], 7 ^ []))), -(subset(set_intersection2(5 ^ [], 7 ^ []), set_intersection2(6 ^ [], 7 ^ [])))],extension(7,bind([[_10669, _10725], [set_intersection2(5 ^ [], 7 ^ []), set_intersection2(6 ^ [], 7 ^ [])]]))).
% 0.38/1.44 cnf('1.1.1.2.2.2.1',plain,[subset(set_intersection2(5 ^ [], 7 ^ []), set_intersection2(6 ^ [], 7 ^ []))],extension(2)).
% 0.38/1.44 cnf('1.1.1.3',plain,[-(in(1 ^ [set_intersection2(6 ^ [], 7 ^ []), set_intersection2(5 ^ [], 7 ^ [])], 7 ^ [])), set_intersection2(7 ^ [], 5 ^ []) = set_intersection2(7 ^ [], 5 ^ []), in(1 ^ [set_intersection2(6 ^ [], 7 ^ []), set_intersection2(5 ^ [], 7 ^ [])], set_intersection2(7 ^ [], 5 ^ []))],extension(10,bind([[_11130, _11200, _11433, _11269], [7 ^ [], 5 ^ [], 1 ^ [set_intersection2(6 ^ [], 7 ^ []), set_intersection2(5 ^ [], 7 ^ [])], set_intersection2(7 ^ [], 5 ^ [])]]))).
% 0.38/1.44 cnf('1.1.1.3.1',plain,[-(set_intersection2(7 ^ [], 5 ^ []) = set_intersection2(7 ^ [], 5 ^ [])), 7 ^ [] = 7 ^ [], 5 ^ [] = 5 ^ []],extension(3,bind([[_9369, _9436, _9502, _9567], [7 ^ [], 7 ^ [], 5 ^ [], 5 ^ []]]))).
% 0.38/1.44 cnf('1.1.1.3.1.1',plain,[-(7 ^ [] = 7 ^ [])],extension(4,bind([[_6859], [7 ^ []]]))).
% 0.38/1.44 cnf('1.1.1.3.1.2',plain,[-(5 ^ [] = 5 ^ [])],extension(4,bind([[_6859], [5 ^ []]]))).
% 0.38/1.44 cnf('1.1.1.3.2',plain,[-(in(1 ^ [set_intersection2(6 ^ [], 7 ^ []), set_intersection2(5 ^ [], 7 ^ [])], set_intersection2(7 ^ [], 5 ^ []))), in(1 ^ [set_intersection2(6 ^ [], 7 ^ []), set_intersection2(5 ^ [], 7 ^ [])], set_intersection2(5 ^ [], 7 ^ [])), 1 ^ [set_intersection2(6 ^ [], 7 ^ []), set_intersection2(5 ^ [], 7 ^ [])] = 1 ^ [set_intersection2(6 ^ [], 7 ^ []), set_intersection2(5 ^ [], 7 ^ [])], set_intersection2(5 ^ [], 7 ^ []) = set_intersection2(7 ^ [], 5 ^ [])],extension(5,bind([[_8096, _8163, _8229, _8294], [1 ^ [set_intersection2(6 ^ [], 7 ^ []), set_intersection2(5 ^ [], 7 ^ [])], 1 ^ [set_intersection2(6 ^ [], 7 ^ []), set_intersection2(5 ^ [], 7 ^ [])], set_intersection2(5 ^ [], 7 ^ []), set_intersection2(7 ^ [], 5 ^ [])]]))).
% 0.38/1.44 cnf('1.1.1.3.2.1',plain,[-(in(1 ^ [set_intersection2(6 ^ [], 7 ^ []), set_intersection2(5 ^ [], 7 ^ [])], set_intersection2(5 ^ [], 7 ^ []))), -(subset(set_intersection2(5 ^ [], 7 ^ []), set_intersection2(6 ^ [], 7 ^ [])))],extension(7,bind([[_10669, _10725], [set_intersection2(5 ^ [], 7 ^ []), set_intersection2(6 ^ [], 7 ^ [])]]))).
% 0.38/1.44 cnf('1.1.1.3.2.1.1',plain,[subset(set_intersection2(5 ^ [], 7 ^ []), set_intersection2(6 ^ [], 7 ^ []))],extension(2)).
% 0.38/1.44 cnf('1.1.1.3.2.2',plain,[-(1 ^ [set_intersection2(6 ^ [], 7 ^ []), set_intersection2(5 ^ [], 7 ^ [])] = 1 ^ [set_intersection2(6 ^ [], 7 ^ []), set_intersection2(5 ^ [], 7 ^ [])])],extension(4,bind([[_6859], [1 ^ [set_intersection2(6 ^ [], 7 ^ []), set_intersection2(5 ^ [], 7 ^ [])]]]))).
% 0.38/1.44 cnf('1.1.1.3.2.3',plain,[-(set_intersection2(5 ^ [], 7 ^ []) = set_intersection2(7 ^ [], 5 ^ []))],extension(6,bind([[_10404, _10359], [7 ^ [], 5 ^ []]]))).
% 0.38/1.44 %-----------------------------------------------------
% 0.47/1.44
% 0.47/1.44 % SZS output end Proof for /export/starexec/sandbox/benchmark/theBenchmark.p
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