TSTP Solution File: SET629+3 by leanCoP---2.2
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- Process Solution
%------------------------------------------------------------------------------
% File : leanCoP---2.2
% Problem : SET629+3 : TPTP v8.1.0. Released v2.2.0.
% Transfm : none
% Format : tptp:raw
% Command : leancop_casc.sh %s %d
% Computer : n007.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 02:54:57 EDT 2022
% Result : Theorem 0.46s 1.40s
% Output : Proof 0.46s
% Verified :
% SZS Type : -
% Comments :
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%----WARNING: Could not form TPTP format derivation
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%----ORIGINAL SYSTEM OUTPUT
% 0.10/0.12 % Problem : SET629+3 : TPTP v8.1.0. Released v2.2.0.
% 0.10/0.12 % Command : leancop_casc.sh %s %d
% 0.12/0.33 % Computer : n007.cluster.edu
% 0.12/0.33 % Model : x86_64 x86_64
% 0.12/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33 % Memory : 8042.1875MB
% 0.12/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33 % CPULimit : 300
% 0.12/0.33 % WCLimit : 600
% 0.12/0.33 % DateTime : Sun Jul 10 09:41:32 EDT 2022
% 0.12/0.33 % CPUTime :
% 0.46/1.40 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.46/1.40 % SZS output start Proof for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.46/1.41
% 0.46/1.41 %-----------------------------------------------------
% 0.46/1.41 fof(prove_intersection_and_difference_disjoint, conjecture, ! [_19465, _19468] : disjoint(intersection(_19465, _19468), difference(_19465, _19468)), file('/export/starexec/sandbox/benchmark/theBenchmark.p', prove_intersection_and_difference_disjoint)).
% 0.46/1.41 fof(intersection_defn, axiom, ! [_19624, _19627, _19630] : (member(_19630, intersection(_19624, _19627)) <=> member(_19630, _19624) & member(_19630, _19627)), file('/export/starexec/sandbox/benchmark/theBenchmark.p', intersection_defn)).
% 0.46/1.41 fof(difference_defn, axiom, ! [_19827, _19830, _19833] : (member(_19833, difference(_19827, _19830)) <=> member(_19833, _19827) & ~ member(_19833, _19830)), file('/export/starexec/sandbox/benchmark/theBenchmark.p', difference_defn)).
% 0.46/1.41 fof(intersect_defn, axiom, ! [_20036, _20039] : (intersect(_20036, _20039) <=> ? [_20057] : (member(_20057, _20036) & member(_20057, _20039))), file('/export/starexec/sandbox/benchmark/theBenchmark.p', intersect_defn)).
% 0.46/1.41 fof(disjoint_defn, axiom, ! [_20254, _20257] : (disjoint(_20254, _20257) <=> ~ intersect(_20254, _20257)), file('/export/starexec/sandbox/benchmark/theBenchmark.p', disjoint_defn)).
% 0.46/1.41
% 0.46/1.41 cnf(1, plain, [disjoint(intersection(3 ^ [], 4 ^ []), difference(3 ^ [], 4 ^ []))], clausify(prove_intersection_and_difference_disjoint)).
% 0.46/1.41 cnf(2, plain, [member(_9970, intersection(_9853, _9912)), -(member(_9970, _9912))], clausify(intersection_defn)).
% 0.46/1.41 cnf(3, plain, [member(_10487, difference(_10366, _10427)), member(_10487, _10427)], clausify(difference_defn)).
% 0.46/1.41 cnf(4, plain, [intersect(_10901, _10957), -(member(1 ^ [_10957, _10901], _10901))], clausify(intersect_defn)).
% 0.46/1.41 cnf(5, plain, [intersect(_10901, _10957), -(member(1 ^ [_10957, _10901], _10957))], clausify(intersect_defn)).
% 0.46/1.41 cnf(6, plain, [-(disjoint(_11363, _11410)), -(intersect(_11363, _11410))], clausify(disjoint_defn)).
% 0.46/1.41
% 0.46/1.41 cnf('1',plain,[disjoint(intersection(3 ^ [], 4 ^ []), difference(3 ^ [], 4 ^ []))],start(1)).
% 0.46/1.41 cnf('1.1',plain,[-(disjoint(intersection(3 ^ [], 4 ^ []), difference(3 ^ [], 4 ^ []))), -(intersect(intersection(3 ^ [], 4 ^ []), difference(3 ^ [], 4 ^ [])))],extension(6,bind([[_11363, _11410], [intersection(3 ^ [], 4 ^ []), difference(3 ^ [], 4 ^ [])]]))).
% 0.46/1.41 cnf('1.1.1',plain,[intersect(intersection(3 ^ [], 4 ^ []), difference(3 ^ [], 4 ^ [])), -(member(1 ^ [difference(3 ^ [], 4 ^ []), intersection(3 ^ [], 4 ^ [])], intersection(3 ^ [], 4 ^ [])))],extension(4,bind([[_10957, _10901], [difference(3 ^ [], 4 ^ []), intersection(3 ^ [], 4 ^ [])]]))).
% 0.46/1.41 cnf('1.1.1.1',plain,[member(1 ^ [difference(3 ^ [], 4 ^ []), intersection(3 ^ [], 4 ^ [])], intersection(3 ^ [], 4 ^ [])), -(member(1 ^ [difference(3 ^ [], 4 ^ []), intersection(3 ^ [], 4 ^ [])], 4 ^ []))],extension(2,bind([[_9853, _9970, _9912], [3 ^ [], 1 ^ [difference(3 ^ [], 4 ^ []), intersection(3 ^ [], 4 ^ [])], 4 ^ []]]))).
% 0.46/1.41 cnf('1.1.1.1.1',plain,[member(1 ^ [difference(3 ^ [], 4 ^ []), intersection(3 ^ [], 4 ^ [])], 4 ^ []), member(1 ^ [difference(3 ^ [], 4 ^ []), intersection(3 ^ [], 4 ^ [])], difference(3 ^ [], 4 ^ []))],extension(3,bind([[_10487, _10366, _10427], [1 ^ [difference(3 ^ [], 4 ^ []), intersection(3 ^ [], 4 ^ [])], 3 ^ [], 4 ^ []]]))).
% 0.46/1.41 cnf('1.1.1.1.1.1',plain,[-(member(1 ^ [difference(3 ^ [], 4 ^ []), intersection(3 ^ [], 4 ^ [])], difference(3 ^ [], 4 ^ []))), intersect(intersection(3 ^ [], 4 ^ []), difference(3 ^ [], 4 ^ []))],extension(5,bind([[_10901, _10957], [intersection(3 ^ [], 4 ^ []), difference(3 ^ [], 4 ^ [])]]))).
% 0.46/1.41 cnf('1.1.1.1.1.1.1',plain,[-(intersect(intersection(3 ^ [], 4 ^ []), difference(3 ^ [], 4 ^ [])))],reduction('1.1')).
% 0.46/1.41 %-----------------------------------------------------
% 0.46/1.41
% 0.46/1.42 % SZS output end Proof for /export/starexec/sandbox/benchmark/theBenchmark.p
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