TSTP Solution File: SET603+3 by leanCoP---2.2
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- Process Solution
%------------------------------------------------------------------------------
% File : leanCoP---2.2
% Problem : SET603+3 : TPTP v8.1.0. Released v2.2.0.
% 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 02:54:37 EDT 2022
% Result : Theorem 0.37s 1.43s
% Output : Proof 0.37s
% Verified :
% SZS Type : -
% Comments :
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%----WARNING: Could not form TPTP format derivation
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%----ORIGINAL SYSTEM OUTPUT
% 0.12/0.13 % Problem : SET603+3 : TPTP v8.1.0. Released v2.2.0.
% 0.12/0.13 % Command : leancop_casc.sh %s %d
% 0.14/0.35 % Computer : n022.cluster.edu
% 0.14/0.35 % Model : x86_64 x86_64
% 0.14/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.35 % Memory : 8042.1875MB
% 0.14/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.35 % CPULimit : 300
% 0.14/0.35 % WCLimit : 600
% 0.14/0.35 % DateTime : Sun Jul 10 14:41:10 EDT 2022
% 0.14/0.35 % CPUTime :
% 0.37/1.43 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.37/1.43 % SZS output start Proof for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.37/1.44
% 0.37/1.44 %-----------------------------------------------------
% 0.37/1.44 fof(prove_th74, conjecture, ! [_20151] : difference(_20151, empty_set) = _20151, file('/export/starexec/sandbox2/benchmark/theBenchmark.p', prove_th74)).
% 0.37/1.44 fof(member_equal, axiom, ! [_20277, _20280] : (! [_20288] : (member(_20288, _20277) <=> member(_20288, _20280)) => _20277 = _20280), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', member_equal)).
% 0.37/1.44 fof(difference_defn, axiom, ! [_20489, _20492, _20495] : (member(_20495, difference(_20489, _20492)) <=> member(_20495, _20489) & ~ member(_20495, _20492)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', difference_defn)).
% 0.37/1.44 fof(empty_set_defn, axiom, ! [_20710] : ~ member(_20710, empty_set), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', empty_set_defn)).
% 0.37/1.44
% 0.37/1.44 cnf(1, plain, [difference(5 ^ [], empty_set) = 5 ^ []], clausify(prove_th74)).
% 0.37/1.44 cnf(2, plain, [-(_8919 = _8975), member(1 ^ [_8975, _8919], _8919), member(1 ^ [_8975, _8919], _8975)], clausify(member_equal)).
% 0.37/1.44 cnf(3, plain, [-(_8919 = _8975), -(member(1 ^ [_8975, _8919], _8919)), -(member(1 ^ [_8975, _8919], _8975))], clausify(member_equal)).
% 0.37/1.44 cnf(4, plain, [member(_9501, difference(_9380, _9441)), -(member(_9501, _9380))], clausify(difference_defn)).
% 0.37/1.44 cnf(5, plain, [-(member(_9501, difference(_9380, _9441))), member(_9501, _9380), -(member(_9501, _9441))], clausify(difference_defn)).
% 0.37/1.44 cnf(6, plain, [member(_9915, empty_set)], clausify(empty_set_defn)).
% 0.37/1.44
% 0.37/1.44 cnf('1',plain,[difference(5 ^ [], empty_set) = 5 ^ []],start(1)).
% 0.37/1.44 cnf('1.1',plain,[-(difference(5 ^ [], empty_set) = 5 ^ []), member(1 ^ [5 ^ [], difference(5 ^ [], empty_set)], difference(5 ^ [], empty_set)), member(1 ^ [5 ^ [], difference(5 ^ [], empty_set)], 5 ^ [])],extension(2,bind([[_8919, _8975], [difference(5 ^ [], empty_set), 5 ^ []]]))).
% 0.37/1.44 cnf('1.1.1',plain,[-(member(1 ^ [5 ^ [], difference(5 ^ [], empty_set)], difference(5 ^ [], empty_set))), member(1 ^ [5 ^ [], difference(5 ^ [], empty_set)], 5 ^ []), -(member(1 ^ [5 ^ [], difference(5 ^ [], empty_set)], empty_set))],extension(5,bind([[_9380, _9501, _9441], [5 ^ [], 1 ^ [5 ^ [], difference(5 ^ [], empty_set)], empty_set]]))).
% 0.37/1.44 cnf('1.1.1.1',plain,[-(member(1 ^ [5 ^ [], difference(5 ^ [], empty_set)], 5 ^ [])), -(difference(5 ^ [], empty_set) = 5 ^ []), -(member(1 ^ [5 ^ [], difference(5 ^ [], empty_set)], difference(5 ^ [], empty_set)))],extension(3,bind([[_8975, _8919], [5 ^ [], difference(5 ^ [], empty_set)]]))).
% 0.37/1.44 cnf('1.1.1.1.1',plain,[difference(5 ^ [], empty_set) = 5 ^ []],extension(1)).
% 0.37/1.44 cnf('1.1.1.1.2',plain,[member(1 ^ [5 ^ [], difference(5 ^ [], empty_set)], difference(5 ^ [], empty_set))],reduction('1.1')).
% 0.37/1.44 cnf('1.1.1.2',plain,[member(1 ^ [5 ^ [], difference(5 ^ [], empty_set)], empty_set)],extension(6,bind([[_9915], [1 ^ [5 ^ [], difference(5 ^ [], empty_set)]]]))).
% 0.37/1.44 cnf('1.1.2',plain,[-(member(1 ^ [5 ^ [], difference(5 ^ [], empty_set)], 5 ^ [])), -(difference(5 ^ [], empty_set) = 5 ^ []), -(member(1 ^ [5 ^ [], difference(5 ^ [], empty_set)], difference(5 ^ [], empty_set)))],extension(3,bind([[_8975, _8919], [5 ^ [], difference(5 ^ [], empty_set)]]))).
% 0.37/1.44 cnf('1.1.2.1',plain,[difference(5 ^ [], empty_set) = 5 ^ []],extension(1)).
% 0.37/1.44 cnf('1.1.2.2',plain,[member(1 ^ [5 ^ [], difference(5 ^ [], empty_set)], difference(5 ^ [], empty_set)), -(member(1 ^ [5 ^ [], difference(5 ^ [], empty_set)], 5 ^ []))],extension(4,bind([[_9441, _9501, _9380], [empty_set, 1 ^ [5 ^ [], difference(5 ^ [], empty_set)], 5 ^ []]]))).
% 0.37/1.44 cnf('1.1.2.2.1',plain,[member(1 ^ [5 ^ [], difference(5 ^ [], empty_set)], 5 ^ [])],reduction('1.1')).
% 0.37/1.44 %-----------------------------------------------------
% 0.37/1.45
% 0.37/1.45 % SZS output end Proof for /export/starexec/sandbox2/benchmark/theBenchmark.p
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