TSTP Solution File: SET594+3 by leanCoP---2.2
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- Process Solution
%------------------------------------------------------------------------------
% File : leanCoP---2.2
% Problem : SET594+3 : TPTP v8.1.0. Released v2.2.0.
% Transfm : none
% Format : tptp:raw
% Command : leancop_casc.sh %s %d
% Computer : n008.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 02:54:30 EDT 2022
% Result : Theorem 0.59s 1.41s
% Output : Proof 0.59s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.12 % Problem : SET594+3 : TPTP v8.1.0. Released v2.2.0.
% 0.06/0.13 % Command : leancop_casc.sh %s %d
% 0.13/0.34 % Computer : n008.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 : Sat Jul 9 21:14:23 EDT 2022
% 0.13/0.34 % CPUTime :
% 0.59/1.41 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.59/1.42 % SZS output start Proof for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.59/1.42
% 0.59/1.42 %-----------------------------------------------------
% 0.59/1.42 fof(prove_th53, conjecture, ! [_21793, _21796, _21799] : (union(intersection(_21793, _21796), intersection(_21793, _21799)) = _21793 => subset(_21793, union(_21796, _21799))), file('/export/starexec/sandbox/benchmark/theBenchmark.p', prove_th53)).
% 0.59/1.42 fof(subset_defn, axiom, ! [_22028, _22031] : (subset(_22028, _22031) <=> ! [_22049] : (member(_22049, _22028) => member(_22049, _22031))), file('/export/starexec/sandbox/benchmark/theBenchmark.p', subset_defn)).
% 0.59/1.42 fof(union_defn, axiom, ! [_22245, _22248, _22251] : (member(_22251, union(_22245, _22248)) <=> member(_22251, _22245) | member(_22251, _22248)), file('/export/starexec/sandbox/benchmark/theBenchmark.p', union_defn)).
% 0.59/1.42 fof(intersection_defn, axiom, ! [_22471, _22474, _22477] : (member(_22477, intersection(_22471, _22474)) <=> member(_22477, _22471) & member(_22477, _22474)), file('/export/starexec/sandbox/benchmark/theBenchmark.p', intersection_defn)).
% 0.59/1.42 fof(equal_member_defn, axiom, ! [_22680, _22683] : (_22680 = _22683 <=> ! [_22697] : (member(_22697, _22680) <=> member(_22697, _22683))), file('/export/starexec/sandbox/benchmark/theBenchmark.p', equal_member_defn)).
% 0.59/1.42
% 0.59/1.42 cnf(1, plain, [-(union(intersection(3 ^ [], 4 ^ []), intersection(3 ^ [], 5 ^ [])) = 3 ^ [])], clausify(prove_th53)).
% 0.59/1.42 cnf(2, plain, [subset(3 ^ [], union(4 ^ [], 5 ^ []))], clausify(prove_th53)).
% 0.59/1.42 cnf(3, plain, [-(subset(_9485, _9541)), -(member(1 ^ [_9541, _9485], _9485))], clausify(subset_defn)).
% 0.59/1.42 cnf(4, plain, [-(subset(_9485, _9541)), member(1 ^ [_9541, _9485], _9541)], clausify(subset_defn)).
% 0.59/1.42 cnf(5, plain, [-(member(_10063, union(_9946, _10005))), member(_10063, _9946)], clausify(union_defn)).
% 0.59/1.42 cnf(6, plain, [-(member(_10063, union(_9946, _10005))), member(_10063, _10005)], clausify(union_defn)).
% 0.59/1.42 cnf(7, plain, [member(_10063, union(_9946, _10005)), -(member(_10063, _9946)), -(member(_10063, _10005))], clausify(union_defn)).
% 0.59/1.42 cnf(8, plain, [member(_10576, intersection(_10459, _10518)), -(member(_10576, _10518))], clausify(intersection_defn)).
% 0.59/1.42 cnf(9, plain, [_12152 = _12208, -(member(_12322, _12152)), member(_12322, _12208)], clausify(equal_member_defn)).
% 0.59/1.42
% 0.59/1.42 cnf('1',plain,[subset(3 ^ [], union(4 ^ [], 5 ^ []))],start(2)).
% 0.59/1.42 cnf('1.1',plain,[-(subset(3 ^ [], union(4 ^ [], 5 ^ []))), -(member(1 ^ [union(4 ^ [], 5 ^ []), 3 ^ []], 3 ^ []))],extension(3,bind([[_9541, _9485], [union(4 ^ [], 5 ^ []), 3 ^ []]]))).
% 0.59/1.42 cnf('1.1.1',plain,[member(1 ^ [union(4 ^ [], 5 ^ []), 3 ^ []], 3 ^ []), union(intersection(3 ^ [], 4 ^ []), intersection(3 ^ [], 5 ^ [])) = 3 ^ [], -(member(1 ^ [union(4 ^ [], 5 ^ []), 3 ^ []], union(intersection(3 ^ [], 4 ^ []), intersection(3 ^ [], 5 ^ []))))],extension(9,bind([[_12208, _12322, _12152], [3 ^ [], 1 ^ [union(4 ^ [], 5 ^ []), 3 ^ []], union(intersection(3 ^ [], 4 ^ []), intersection(3 ^ [], 5 ^ []))]]))).
% 0.59/1.42 cnf('1.1.1.1',plain,[-(union(intersection(3 ^ [], 4 ^ []), intersection(3 ^ [], 5 ^ [])) = 3 ^ [])],extension(1)).
% 0.59/1.42 cnf('1.1.1.2',plain,[member(1 ^ [union(4 ^ [], 5 ^ []), 3 ^ []], union(intersection(3 ^ [], 4 ^ []), intersection(3 ^ [], 5 ^ []))), -(member(1 ^ [union(4 ^ [], 5 ^ []), 3 ^ []], intersection(3 ^ [], 4 ^ []))), -(member(1 ^ [union(4 ^ [], 5 ^ []), 3 ^ []], intersection(3 ^ [], 5 ^ [])))],extension(7,bind([[_9946, _10063, _10005], [intersection(3 ^ [], 4 ^ []), 1 ^ [union(4 ^ [], 5 ^ []), 3 ^ []], intersection(3 ^ [], 5 ^ [])]]))).
% 0.59/1.42 cnf('1.1.1.2.1',plain,[member(1 ^ [union(4 ^ [], 5 ^ []), 3 ^ []], intersection(3 ^ [], 4 ^ [])), -(member(1 ^ [union(4 ^ [], 5 ^ []), 3 ^ []], 4 ^ []))],extension(8,bind([[_10459, _10576, _10518], [3 ^ [], 1 ^ [union(4 ^ [], 5 ^ []), 3 ^ []], 4 ^ []]]))).
% 0.59/1.42 cnf('1.1.1.2.1.1',plain,[member(1 ^ [union(4 ^ [], 5 ^ []), 3 ^ []], 4 ^ []), -(member(1 ^ [union(4 ^ [], 5 ^ []), 3 ^ []], union(4 ^ [], 5 ^ [])))],extension(5,bind([[_10063, _9946, _10005], [1 ^ [union(4 ^ [], 5 ^ []), 3 ^ []], 4 ^ [], 5 ^ []]]))).
% 0.59/1.42 cnf('1.1.1.2.1.1.1',plain,[member(1 ^ [union(4 ^ [], 5 ^ []), 3 ^ []], union(4 ^ [], 5 ^ [])), -(subset(3 ^ [], union(4 ^ [], 5 ^ [])))],extension(4,bind([[_9485, _9541], [3 ^ [], union(4 ^ [], 5 ^ [])]]))).
% 0.59/1.42 cnf('1.1.1.2.1.1.1.1',plain,[subset(3 ^ [], union(4 ^ [], 5 ^ []))],extension(2)).
% 0.59/1.42 cnf('1.1.1.2.2',plain,[member(1 ^ [union(4 ^ [], 5 ^ []), 3 ^ []], intersection(3 ^ [], 5 ^ [])), -(member(1 ^ [union(4 ^ [], 5 ^ []), 3 ^ []], 5 ^ []))],extension(8,bind([[_10459, _10576, _10518], [3 ^ [], 1 ^ [union(4 ^ [], 5 ^ []), 3 ^ []], 5 ^ []]]))).
% 0.59/1.42 cnf('1.1.1.2.2.1',plain,[member(1 ^ [union(4 ^ [], 5 ^ []), 3 ^ []], 5 ^ []), -(member(1 ^ [union(4 ^ [], 5 ^ []), 3 ^ []], union(4 ^ [], 5 ^ [])))],extension(6,bind([[_10063, _9946, _10005], [1 ^ [union(4 ^ [], 5 ^ []), 3 ^ []], 4 ^ [], 5 ^ []]]))).
% 0.59/1.42 cnf('1.1.1.2.2.1.1',plain,[member(1 ^ [union(4 ^ [], 5 ^ []), 3 ^ []], union(4 ^ [], 5 ^ [])), -(subset(3 ^ [], union(4 ^ [], 5 ^ [])))],extension(4,bind([[_9485, _9541], [3 ^ [], union(4 ^ [], 5 ^ [])]]))).
% 0.59/1.42 cnf('1.1.1.2.2.1.1.1',plain,[subset(3 ^ [], union(4 ^ [], 5 ^ []))],extension(2)).
% 0.59/1.42 %-----------------------------------------------------
% 0.59/1.43
% 0.59/1.43 % SZS output end Proof for /export/starexec/sandbox/benchmark/theBenchmark.p
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