TSTP Solution File: PHI012+1 by leanCoP---2.2
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%------------------------------------------------------------------------------
% File : leanCoP---2.2
% Problem : PHI012+1 : TPTP v8.1.0. Released v7.2.0.
% Transfm : none
% Format : tptp:raw
% Command : leancop_casc.sh %s %d
% Computer : n025.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 : Mon Jul 18 16:47:15 EDT 2022
% Result : Theorem 0.34s 1.41s
% Output : Proof 0.34s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : PHI012+1 : TPTP v8.1.0. Released v7.2.0.
% 0.03/0.13 % Command : leancop_casc.sh %s %d
% 0.12/0.34 % Computer : n025.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 : Thu Jun 2 01:44:44 EDT 2022
% 0.12/0.34 % CPUTime :
% 0.34/1.41 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.34/1.41 % SZS output start Proof for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.34/1.42
% 0.34/1.42 %-----------------------------------------------------
% 0.34/1.42 fof(lemma_2, conjecture, ? [_24139] : (object(_24139) & exemplifies_property(none_greater, _24139)) => ? [_24139] : (object(_24139) & exemplifies_property(none_greater, _24139) & ! [_24188] : (object(_24188) => exemplifies_property(none_greater, _24188) => _24188 = _24139)), file('/export/starexec/sandbox/benchmark/theBenchmark.p', lemma_2)).
% 0.34/1.42 fof(connectedness_of_greater_than, axiom, ! [_24503, _24506] : (object(_24503) & object(_24506) => exemplifies_relation(greater_than, _24503, _24506) | exemplifies_relation(greater_than, _24506, _24503) | _24503 = _24506), file('/export/starexec/sandbox/benchmark/theBenchmark.p', connectedness_of_greater_than)).
% 0.34/1.42 fof(definition_none_greater, axiom, ! [_24732] : (object(_24732) => (exemplifies_property(none_greater, _24732) <=> exemplifies_property(conceivable, _24732) & ~ ? [_24769] : (object(_24769) & exemplifies_relation(greater_than, _24769, _24732) & exemplifies_property(conceivable, _24769)))), file('/export/starexec/sandbox/benchmark/theBenchmark.p', definition_none_greater)).
% 0.34/1.42
% 0.34/1.42 cnf(1, plain, [-(4 ^ [_9060]), 3 ^ [_9060] = _9060], clausify(lemma_2)).
% 0.34/1.42 cnf(2, plain, [-(4 ^ [_9060]), -(exemplifies_property(none_greater, 3 ^ [_9060]))], clausify(lemma_2)).
% 0.34/1.42 cnf(3, plain, [-(4 ^ [_9060]), -(object(3 ^ [_9060]))], clausify(lemma_2)).
% 0.34/1.42 cnf(4, plain, [-(object(2 ^ []))], clausify(lemma_2)).
% 0.34/1.42 cnf(5, plain, [-(exemplifies_property(none_greater, 2 ^ []))], clausify(lemma_2)).
% 0.34/1.42 cnf(6, plain, [object(_9060), exemplifies_property(none_greater, _9060), 4 ^ [_9060]], clausify(lemma_2)).
% 0.34/1.42 cnf(7, plain, [object(_8337), object(_8274), -(exemplifies_relation(greater_than, _8274, _8337)), -(exemplifies_relation(greater_than, _8337, _8274)), -(_8274 = _8337)], clausify(connectedness_of_greater_than)).
% 0.34/1.42 cnf(8, plain, [object(_7632), exemplifies_property(none_greater, _7632), -(exemplifies_property(conceivable, _7632))], clausify(definition_none_greater)).
% 0.34/1.42 cnf(9, plain, [object(_7632), exemplifies_property(none_greater, _7632), object(_7867), exemplifies_relation(greater_than, _7867, _7632), exemplifies_property(conceivable, _7867)], clausify(definition_none_greater)).
% 0.34/1.42
% 0.34/1.42 cnf('1',plain,[object(3 ^ [3 ^ [2 ^ []]]), exemplifies_property(none_greater, 3 ^ [3 ^ [2 ^ []]]), 4 ^ [3 ^ [3 ^ [2 ^ []]]]],start(6,bind([[_9060], [3 ^ [3 ^ [2 ^ []]]]]))).
% 0.34/1.42 cnf('1.1',plain,[-(object(3 ^ [3 ^ [2 ^ []]])), -(4 ^ [3 ^ [2 ^ []]])],extension(3,bind([[_9060], [3 ^ [2 ^ []]]]))).
% 0.34/1.42 cnf('1.1.1',plain,[4 ^ [3 ^ [2 ^ []]], object(3 ^ [2 ^ []]), exemplifies_property(none_greater, 3 ^ [2 ^ []])],extension(6,bind([[_9060], [3 ^ [2 ^ []]]]))).
% 0.34/1.42 cnf('1.1.1.1',plain,[-(object(3 ^ [2 ^ []])), -(4 ^ [2 ^ []])],extension(3,bind([[_9060], [2 ^ []]]))).
% 0.34/1.42 cnf('1.1.1.1.1',plain,[4 ^ [2 ^ []], object(2 ^ []), exemplifies_property(none_greater, 2 ^ [])],extension(6,bind([[_9060], [2 ^ []]]))).
% 0.34/1.42 cnf('1.1.1.1.1.1',plain,[-(object(2 ^ []))],extension(4)).
% 0.34/1.42 cnf('1.1.1.1.1.2',plain,[-(exemplifies_property(none_greater, 2 ^ []))],extension(5)).
% 0.34/1.42 cnf('1.1.1.2',plain,[-(exemplifies_property(none_greater, 3 ^ [2 ^ []])), -(4 ^ [2 ^ []])],extension(2,bind([[_9060], [2 ^ []]]))).
% 0.34/1.42 cnf('1.1.1.2.1',plain,[4 ^ [2 ^ []], object(2 ^ []), exemplifies_property(none_greater, 2 ^ [])],extension(6,bind([[_9060], [2 ^ []]]))).
% 0.34/1.42 cnf('1.1.1.2.1.1',plain,[-(object(2 ^ []))],extension(4)).
% 0.34/1.42 cnf('1.1.1.2.1.2',plain,[-(exemplifies_property(none_greater, 2 ^ []))],extension(5)).
% 0.34/1.42 cnf('1.2',plain,[-(exemplifies_property(none_greater, 3 ^ [3 ^ [2 ^ []]])), -(4 ^ [3 ^ [2 ^ []]])],extension(2,bind([[_9060], [3 ^ [2 ^ []]]]))).
% 0.34/1.42 cnf('1.2.1',plain,[4 ^ [3 ^ [2 ^ []]], object(3 ^ [2 ^ []]), exemplifies_property(none_greater, 3 ^ [2 ^ []])],extension(6,bind([[_9060], [3 ^ [2 ^ []]]]))).
% 0.34/1.42 cnf('1.2.1.1',plain,[-(object(3 ^ [2 ^ []])), -(4 ^ [2 ^ []])],extension(3,bind([[_9060], [2 ^ []]]))).
% 0.34/1.42 cnf('1.2.1.1.1',plain,[4 ^ [2 ^ []], object(2 ^ []), exemplifies_property(none_greater, 2 ^ [])],extension(6,bind([[_9060], [2 ^ []]]))).
% 0.34/1.42 cnf('1.2.1.1.1.1',plain,[-(object(2 ^ []))],extension(4)).
% 0.34/1.42 cnf('1.2.1.1.1.2',plain,[-(exemplifies_property(none_greater, 2 ^ []))],extension(5)).
% 0.34/1.42 cnf('1.2.1.2',plain,[-(exemplifies_property(none_greater, 3 ^ [2 ^ []])), -(4 ^ [2 ^ []])],extension(2,bind([[_9060], [2 ^ []]]))).
% 0.34/1.42 cnf('1.2.1.2.1',plain,[4 ^ [2 ^ []], object(2 ^ []), exemplifies_property(none_greater, 2 ^ [])],extension(6,bind([[_9060], [2 ^ []]]))).
% 0.34/1.42 cnf('1.2.1.2.1.1',plain,[-(object(2 ^ []))],extension(4)).
% 0.34/1.42 cnf('1.2.1.2.1.2',plain,[-(exemplifies_property(none_greater, 2 ^ []))],extension(5)).
% 0.34/1.42 cnf('1.3',plain,[-(4 ^ [3 ^ [3 ^ [2 ^ []]]]), 3 ^ [3 ^ [3 ^ [2 ^ []]]] = 3 ^ [3 ^ [2 ^ []]]],extension(1,bind([[_9060], [3 ^ [3 ^ [2 ^ []]]]]))).
% 0.34/1.42 cnf('1.3.1',plain,[-(3 ^ [3 ^ [3 ^ [2 ^ []]]] = 3 ^ [3 ^ [2 ^ []]]), object(3 ^ [3 ^ [2 ^ []]]), object(3 ^ [3 ^ [3 ^ [2 ^ []]]]), -(exemplifies_relation(greater_than, 3 ^ [3 ^ [3 ^ [2 ^ []]]], 3 ^ [3 ^ [2 ^ []]])), -(exemplifies_relation(greater_than, 3 ^ [3 ^ [2 ^ []]], 3 ^ [3 ^ [3 ^ [2 ^ []]]]))],extension(7,bind([[_8337, _8274], [3 ^ [3 ^ [2 ^ []]], 3 ^ [3 ^ [3 ^ [2 ^ []]]]]]))).
% 0.34/1.42 cnf('1.3.1.1',plain,[-(object(3 ^ [3 ^ [2 ^ []]]))],lemmata('1')).
% 0.34/1.42 cnf('1.3.1.2',plain,[-(object(3 ^ [3 ^ [3 ^ [2 ^ []]]])), -(4 ^ [3 ^ [3 ^ [2 ^ []]]])],extension(3,bind([[_9060], [3 ^ [3 ^ [2 ^ []]]]]))).
% 0.34/1.42 cnf('1.3.1.2.1',plain,[4 ^ [3 ^ [3 ^ [2 ^ []]]]],reduction('1')).
% 0.34/1.42 cnf('1.3.1.3',plain,[exemplifies_relation(greater_than, 3 ^ [3 ^ [3 ^ [2 ^ []]]], 3 ^ [3 ^ [2 ^ []]]), object(3 ^ [3 ^ [2 ^ []]]), exemplifies_property(none_greater, 3 ^ [3 ^ [2 ^ []]]), object(3 ^ [3 ^ [3 ^ [2 ^ []]]]), exemplifies_property(conceivable, 3 ^ [3 ^ [3 ^ [2 ^ []]]])],extension(9,bind([[_7632, _7867], [3 ^ [3 ^ [2 ^ []]], 3 ^ [3 ^ [3 ^ [2 ^ []]]]]]))).
% 0.34/1.42 cnf('1.3.1.3.1',plain,[-(object(3 ^ [3 ^ [2 ^ []]]))],lemmata('1.3.1')).
% 0.34/1.42 cnf('1.3.1.3.2',plain,[-(exemplifies_property(none_greater, 3 ^ [3 ^ [2 ^ []]]))],lemmata('1')).
% 0.34/1.42 cnf('1.3.1.3.3',plain,[-(object(3 ^ [3 ^ [3 ^ [2 ^ []]]]))],lemmata('1.3.1')).
% 0.34/1.42 cnf('1.3.1.3.4',plain,[-(exemplifies_property(conceivable, 3 ^ [3 ^ [3 ^ [2 ^ []]]])), object(3 ^ [3 ^ [3 ^ [2 ^ []]]]), exemplifies_property(none_greater, 3 ^ [3 ^ [3 ^ [2 ^ []]]])],extension(8,bind([[_7632], [3 ^ [3 ^ [3 ^ [2 ^ []]]]]]))).
% 0.34/1.42 cnf('1.3.1.3.4.1',plain,[-(object(3 ^ [3 ^ [3 ^ [2 ^ []]]]))],lemmata('1.3.1.3')).
% 0.34/1.42 cnf('1.3.1.3.4.2',plain,[-(exemplifies_property(none_greater, 3 ^ [3 ^ [3 ^ [2 ^ []]]])), -(4 ^ [3 ^ [3 ^ [2 ^ []]]])],extension(2,bind([[_9060], [3 ^ [3 ^ [2 ^ []]]]]))).
% 0.34/1.42 cnf('1.3.1.3.4.2.1',plain,[4 ^ [3 ^ [3 ^ [2 ^ []]]]],reduction('1')).
% 0.34/1.42 cnf('1.3.1.4',plain,[exemplifies_relation(greater_than, 3 ^ [3 ^ [2 ^ []]], 3 ^ [3 ^ [3 ^ [2 ^ []]]]), object(3 ^ [3 ^ [3 ^ [2 ^ []]]]), exemplifies_property(none_greater, 3 ^ [3 ^ [3 ^ [2 ^ []]]]), object(3 ^ [3 ^ [2 ^ []]]), exemplifies_property(conceivable, 3 ^ [3 ^ [2 ^ []]])],extension(9,bind([[_7632, _7867], [3 ^ [3 ^ [3 ^ [2 ^ []]]], 3 ^ [3 ^ [2 ^ []]]]]))).
% 0.34/1.42 cnf('1.3.1.4.1',plain,[-(object(3 ^ [3 ^ [3 ^ [2 ^ []]]]))],lemmata('1.3.1')).
% 0.34/1.42 cnf('1.3.1.4.2',plain,[-(exemplifies_property(none_greater, 3 ^ [3 ^ [3 ^ [2 ^ []]]])), -(4 ^ [3 ^ [3 ^ [2 ^ []]]])],extension(2,bind([[_9060], [3 ^ [3 ^ [2 ^ []]]]]))).
% 0.34/1.42 cnf('1.3.1.4.2.1',plain,[4 ^ [3 ^ [3 ^ [2 ^ []]]]],reduction('1')).
% 0.34/1.42 cnf('1.3.1.4.3',plain,[-(object(3 ^ [3 ^ [2 ^ []]]))],lemmata('1.3.1')).
% 0.34/1.42 cnf('1.3.1.4.4',plain,[-(exemplifies_property(conceivable, 3 ^ [3 ^ [2 ^ []]])), object(3 ^ [3 ^ [2 ^ []]]), exemplifies_property(none_greater, 3 ^ [3 ^ [2 ^ []]])],extension(8,bind([[_7632], [3 ^ [3 ^ [2 ^ []]]]]))).
% 0.34/1.42 cnf('1.3.1.4.4.1',plain,[-(object(3 ^ [3 ^ [2 ^ []]]))],lemmata('1.3.1.4')).
% 0.34/1.42 cnf('1.3.1.4.4.2',plain,[-(exemplifies_property(none_greater, 3 ^ [3 ^ [2 ^ []]]))],lemmata('1')).
% 0.34/1.42 %-----------------------------------------------------
% 0.34/1.42
% 0.34/1.42 % SZS output end Proof for /export/starexec/sandbox/benchmark/theBenchmark.p
%------------------------------------------------------------------------------