TSTP Solution File: SET696+4 by leanCoP---2.2
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- Process Solution
%------------------------------------------------------------------------------
% File : leanCoP---2.2
% Problem : SET696+4 : TPTP v8.1.0. Released v2.2.0.
% Transfm : none
% Format : tptp:raw
% Command : leancop_casc.sh %s %d
% Computer : n013.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 02:55:26 EDT 2022
% Result : Theorem 0.64s 1.40s
% Output : Proof 0.64s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.11 % Problem : SET696+4 : TPTP v8.1.0. Released v2.2.0.
% 0.03/0.12 % Command : leancop_casc.sh %s %d
% 0.12/0.33 % Computer : n013.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 : Sat Jul 9 21:03:29 EDT 2022
% 0.12/0.33 % CPUTime :
% 0.64/1.40 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.64/1.40 % SZS output start Proof for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.64/1.41
% 0.64/1.41 %-----------------------------------------------------
% 0.64/1.41 fof(thI28, conjecture, ! [_29587, _29590] : (subset(_29587, _29590) => equal_set(intersection(difference(_29590, _29587), _29587), empty_set)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', thI28)).
% 0.64/1.41 fof(subset, axiom, ! [_29779, _29782] : (subset(_29779, _29782) <=> ! [_29800] : (member(_29800, _29779) => member(_29800, _29782))), file('/export/starexec/sandbox2/benchmark/Axioms/SET006+0.ax', subset)).
% 0.64/1.41 fof(equal_set, axiom, ! [_29987, _29990] : (equal_set(_29987, _29990) <=> subset(_29987, _29990) & subset(_29990, _29987)), file('/export/starexec/sandbox2/benchmark/Axioms/SET006+0.ax', equal_set)).
% 0.64/1.41 fof(intersection, axiom, ! [_30163, _30166, _30169] : (member(_30163, intersection(_30166, _30169)) <=> member(_30163, _30166) & member(_30163, _30169)), file('/export/starexec/sandbox2/benchmark/Axioms/SET006+0.ax', intersection)).
% 0.64/1.41 fof(empty_set, axiom, ! [_30380] : ~ member(_30380, empty_set), file('/export/starexec/sandbox2/benchmark/Axioms/SET006+0.ax', empty_set)).
% 0.64/1.41 fof(difference, axiom, ! [_30495, _30498, _30501] : (member(_30495, difference(_30501, _30498)) <=> member(_30495, _30501) & ~ member(_30495, _30498)), file('/export/starexec/sandbox2/benchmark/Axioms/SET006+0.ax', difference)).
% 0.64/1.41
% 0.64/1.41 cnf(1, plain, [equal_set(intersection(difference(5 ^ [], 4 ^ []), 4 ^ []), empty_set)], clausify(thI28)).
% 0.64/1.41 cnf(2, plain, [-(subset(_14715, _14771)), -(member(1 ^ [_14771, _14715], _14715))], clausify(subset)).
% 0.64/1.41 cnf(3, plain, [-(equal_set(_15176, _15227)), subset(_15176, _15227), subset(_15227, _15176)], clausify(equal_set)).
% 0.64/1.41 cnf(4, plain, [member(_15902, intersection(_15961, _16019)), -(member(_15902, _15961))], clausify(intersection)).
% 0.64/1.41 cnf(5, plain, [member(_15902, intersection(_15961, _16019)), -(member(_15902, _16019))], clausify(intersection)).
% 0.64/1.41 cnf(6, plain, [member(_16928, empty_set)], clausify(empty_set)).
% 0.64/1.41 cnf(7, plain, [member(_17120, difference(_17241, _17181)), member(_17120, _17181)], clausify(difference)).
% 0.64/1.41
% 0.64/1.41 cnf('1',plain,[equal_set(intersection(difference(5 ^ [], 4 ^ []), 4 ^ []), empty_set)],start(1)).
% 0.64/1.41 cnf('1.1',plain,[-(equal_set(intersection(difference(5 ^ [], 4 ^ []), 4 ^ []), empty_set)), subset(intersection(difference(5 ^ [], 4 ^ []), 4 ^ []), empty_set), subset(empty_set, intersection(difference(5 ^ [], 4 ^ []), 4 ^ []))],extension(3,bind([[_15227, _15176], [empty_set, intersection(difference(5 ^ [], 4 ^ []), 4 ^ [])]]))).
% 0.64/1.41 cnf('1.1.1',plain,[-(subset(intersection(difference(5 ^ [], 4 ^ []), 4 ^ []), empty_set)), -(member(1 ^ [empty_set, intersection(difference(5 ^ [], 4 ^ []), 4 ^ [])], intersection(difference(5 ^ [], 4 ^ []), 4 ^ [])))],extension(2,bind([[_14771, _14715], [empty_set, intersection(difference(5 ^ [], 4 ^ []), 4 ^ [])]]))).
% 0.64/1.41 cnf('1.1.1.1',plain,[member(1 ^ [empty_set, intersection(difference(5 ^ [], 4 ^ []), 4 ^ [])], intersection(difference(5 ^ [], 4 ^ []), 4 ^ [])), -(member(1 ^ [empty_set, intersection(difference(5 ^ [], 4 ^ []), 4 ^ [])], difference(5 ^ [], 4 ^ [])))],extension(4,bind([[_16019, _15902, _15961], [4 ^ [], 1 ^ [empty_set, intersection(difference(5 ^ [], 4 ^ []), 4 ^ [])], difference(5 ^ [], 4 ^ [])]]))).
% 0.64/1.41 cnf('1.1.1.1.1',plain,[member(1 ^ [empty_set, intersection(difference(5 ^ [], 4 ^ []), 4 ^ [])], difference(5 ^ [], 4 ^ [])), member(1 ^ [empty_set, intersection(difference(5 ^ [], 4 ^ []), 4 ^ [])], 4 ^ [])],extension(7,bind([[_17241, _17120, _17181], [5 ^ [], 1 ^ [empty_set, intersection(difference(5 ^ [], 4 ^ []), 4 ^ [])], 4 ^ []]]))).
% 0.64/1.41 cnf('1.1.1.1.1.1',plain,[-(member(1 ^ [empty_set, intersection(difference(5 ^ [], 4 ^ []), 4 ^ [])], 4 ^ [])), member(1 ^ [empty_set, intersection(difference(5 ^ [], 4 ^ []), 4 ^ [])], intersection(difference(5 ^ [], 4 ^ []), 4 ^ []))],extension(5,bind([[_15902, _15961, _16019], [1 ^ [empty_set, intersection(difference(5 ^ [], 4 ^ []), 4 ^ [])], difference(5 ^ [], 4 ^ []), 4 ^ []]]))).
% 0.64/1.41 cnf('1.1.1.1.1.1.1',plain,[-(member(1 ^ [empty_set, intersection(difference(5 ^ [], 4 ^ []), 4 ^ [])], intersection(difference(5 ^ [], 4 ^ []), 4 ^ [])))],reduction('1.1.1')).
% 0.64/1.41 cnf('1.1.2',plain,[-(subset(empty_set, intersection(difference(5 ^ [], 4 ^ []), 4 ^ []))), -(member(1 ^ [intersection(difference(5 ^ [], 4 ^ []), 4 ^ []), empty_set], empty_set))],extension(2,bind([[_14771, _14715], [intersection(difference(5 ^ [], 4 ^ []), 4 ^ []), empty_set]]))).
% 0.64/1.41 cnf('1.1.2.1',plain,[member(1 ^ [intersection(difference(5 ^ [], 4 ^ []), 4 ^ []), empty_set], empty_set)],extension(6,bind([[_16928], [1 ^ [intersection(difference(5 ^ [], 4 ^ []), 4 ^ []), empty_set]]]))).
% 0.64/1.41 %-----------------------------------------------------
% 0.64/1.41
% 0.64/1.41 % SZS output end Proof for /export/starexec/sandbox2/benchmark/theBenchmark.p
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