%------------------------------------------------------------------------------
% File : leanCoP---2.2
% Problem : SET008+3 : TPTP v8.1.0. Released v2.2.0.
% Transfm : none
% Format : tptp:raw
% Command : leancop_casc.sh %s %d
% Computer : n017.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 02:49:46 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
% 0.12/0.12 % Problem : SET008+3 : TPTP v8.1.0. Released v2.2.0.
% 0.12/0.13 % Command : leancop_casc.sh %s %d
% 0.12/0.34 % Computer : n017.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 : Mon Jul 11 01:15:48 EDT 2022
% 0.12/0.34 % CPUTime :
% 0.34/1.41 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.34/1.42 % SZS output start Proof for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.34/1.42
% 0.34/1.42 %-----------------------------------------------------
% 0.34/1.42 fof(prove_intersection_difference_empty_set, conjecture, ! [_21535, _21538] : intersection(difference(_21535, _21538), _21538) = empty_set, file('/export/starexec/sandbox/benchmark/theBenchmark.p', prove_intersection_difference_empty_set)).
% 0.34/1.42 fof(intersection_defn, axiom, ! [_21689, _21692, _21695] : (member(_21695, intersection(_21689, _21692)) <=> member(_21695, _21689) & member(_21695, _21692)), file('/export/starexec/sandbox/benchmark/theBenchmark.p', intersection_defn)).
% 0.34/1.42 fof(difference_defn, axiom, ! [_21904, _21907, _21910] : (member(_21910, difference(_21904, _21907)) <=> member(_21910, _21904) & ~ member(_21910, _21907)), file('/export/starexec/sandbox/benchmark/theBenchmark.p', difference_defn)).
% 0.34/1.42 fof(empty_set_defn, axiom, ! [_22113] : ~ member(_22113, empty_set), file('/export/starexec/sandbox/benchmark/theBenchmark.p', empty_set_defn)).
% 0.34/1.42 fof(equal_member_defn, axiom, ! [_22240, _22243] : (_22240 = _22243 <=> ! [_22257] : (member(_22257, _22240) <=> member(_22257, _22243))), file('/export/starexec/sandbox/benchmark/theBenchmark.p', equal_member_defn)).
% 0.34/1.42
% 0.34/1.42 cnf(1, plain, [intersection(difference(4 ^ [], 5 ^ []), 5 ^ []) = empty_set], clausify(prove_intersection_difference_empty_set)).
% 0.34/1.42 cnf(2, plain, [member(_10086, intersection(_9969, _10028)), -(member(_10086, _9969))], clausify(intersection_defn)).
% 0.34/1.42 cnf(3, plain, [member(_10086, intersection(_9969, _10028)), -(member(_10086, _10028))], clausify(intersection_defn)).
% 0.34/1.42 cnf(4, plain, [member(_10603, difference(_10482, _10543)), member(_10603, _10543)], clausify(difference_defn)).
% 0.34/1.42 cnf(5, plain, [member(_11017, empty_set)], clausify(empty_set_defn)).
% 0.34/1.42 cnf(6, plain, [-(_12842 = _12898), -(member(3 ^ [_12898, _12842], _12842)), -(member(3 ^ [_12898, _12842], _12898))], clausify(equal_member_defn)).
% 0.34/1.42
% 0.34/1.42 cnf('1',plain,[member(3 ^ [empty_set, intersection(difference(4 ^ [], 5 ^ []), 5 ^ [])], difference(4 ^ [], 5 ^ [])), member(3 ^ [empty_set, intersection(difference(4 ^ [], 5 ^ []), 5 ^ [])], 5 ^ [])],start(4,bind([[_10482, _10603, _10543], [4 ^ [], 3 ^ [empty_set, intersection(difference(4 ^ [], 5 ^ []), 5 ^ [])], 5 ^ []]]))).
% 0.34/1.42 cnf('1.1',plain,[-(member(3 ^ [empty_set, intersection(difference(4 ^ [], 5 ^ []), 5 ^ [])], difference(4 ^ [], 5 ^ []))), member(3 ^ [empty_set, intersection(difference(4 ^ [], 5 ^ []), 5 ^ [])], intersection(difference(4 ^ [], 5 ^ []), 5 ^ []))],extension(2,bind([[_10086, _9969, _10028], [3 ^ [empty_set, intersection(difference(4 ^ [], 5 ^ []), 5 ^ [])], difference(4 ^ [], 5 ^ []), 5 ^ []]]))).
% 0.34/1.42 cnf('1.1.1',plain,[-(member(3 ^ [empty_set, intersection(difference(4 ^ [], 5 ^ []), 5 ^ [])], intersection(difference(4 ^ [], 5 ^ []), 5 ^ []))), -(intersection(difference(4 ^ [], 5 ^ []), 5 ^ []) = empty_set), -(member(3 ^ [empty_set, intersection(difference(4 ^ [], 5 ^ []), 5 ^ [])], empty_set))],extension(6,bind([[_12842, _12898], [intersection(difference(4 ^ [], 5 ^ []), 5 ^ []), empty_set]]))).
% 0.34/1.42 cnf('1.1.1.1',plain,[intersection(difference(4 ^ [], 5 ^ []), 5 ^ []) = empty_set],extension(1)).
% 0.34/1.42 cnf('1.1.1.2',plain,[member(3 ^ [empty_set, intersection(difference(4 ^ [], 5 ^ []), 5 ^ [])], empty_set)],extension(5,bind([[_11017], [3 ^ [empty_set, intersection(difference(4 ^ [], 5 ^ []), 5 ^ [])]]]))).
% 0.34/1.42 cnf('1.2',plain,[-(member(3 ^ [empty_set, intersection(difference(4 ^ [], 5 ^ []), 5 ^ [])], 5 ^ [])), member(3 ^ [empty_set, intersection(difference(4 ^ [], 5 ^ []), 5 ^ [])], intersection(difference(4 ^ [], 5 ^ []), 5 ^ []))],extension(3,bind([[_10086, _9969, _10028], [3 ^ [empty_set, intersection(difference(4 ^ [], 5 ^ []), 5 ^ [])], difference(4 ^ [], 5 ^ []), 5 ^ []]]))).
% 0.34/1.42 cnf('1.2.1',plain,[-(member(3 ^ [empty_set, intersection(difference(4 ^ [], 5 ^ []), 5 ^ [])], intersection(difference(4 ^ [], 5 ^ []), 5 ^ []))), -(intersection(difference(4 ^ [], 5 ^ []), 5 ^ []) = empty_set), -(member(3 ^ [empty_set, intersection(difference(4 ^ [], 5 ^ []), 5 ^ [])], empty_set))],extension(6,bind([[_12842, _12898], [intersection(difference(4 ^ [], 5 ^ []), 5 ^ []), empty_set]]))).
% 0.34/1.42 cnf('1.2.1.1',plain,[intersection(difference(4 ^ [], 5 ^ []), 5 ^ []) = empty_set],extension(1)).
% 0.34/1.42 cnf('1.2.1.2',plain,[member(3 ^ [empty_set, intersection(difference(4 ^ [], 5 ^ []), 5 ^ [])], empty_set)],extension(5,bind([[_11017], [3 ^ [empty_set, intersection(difference(4 ^ [], 5 ^ []), 5 ^ [])]]]))).
% 0.34/1.42 %-----------------------------------------------------
% 0.34/1.43
% 0.34/1.43 % SZS output end Proof for /export/starexec/sandbox/benchmark/theBenchmark.p
%------------------------------------------------------------------------------