%------------------------------------------------------------------------------
% File : leanCoP---2.2
% Problem : SET199+4 : TPTP v8.1.0. Released v2.2.0.
% Transfm : none
% Format : tptp:raw
% Command : leancop_casc.sh %s %d
% Computer : n012.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 02:52:17 EDT 2022
% Result : Theorem 0.83s 1.40s
% Output : Proof 0.83s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.10/0.12 % Problem : SET199+4 : TPTP v8.1.0. Released v2.2.0.
% 0.10/0.12 % Command : leancop_casc.sh %s %d
% 0.13/0.33 % Computer : n012.cluster.edu
% 0.13/0.33 % Model : x86_64 x86_64
% 0.13/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.33 % Memory : 8042.1875MB
% 0.13/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.33 % CPULimit : 300
% 0.13/0.33 % WCLimit : 600
% 0.13/0.33 % DateTime : Sun Jul 10 01:55:28 EDT 2022
% 0.13/0.33 % CPUTime :
% 0.83/1.40 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.83/1.41 % SZS output start Proof for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.83/1.41
% 0.83/1.41 %-----------------------------------------------------
% 0.83/1.41 fof(thI46, conjecture, ! [_34589, _34592, _34595] : (subset(_34589, _34592) & subset(_34589, _34595) <=> subset(_34589, intersection(_34592, _34595))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', thI46)).
% 0.83/1.41 fof(subset, axiom, ! [_34859, _34862] : (subset(_34859, _34862) <=> ! [_34880] : (member(_34880, _34859) => member(_34880, _34862))), file('/export/starexec/sandbox2/benchmark/Axioms/SET006+0.ax', subset)).
% 0.83/1.41 fof(intersection, axiom, ! [_35092, _35095, _35098] : (member(_35092, intersection(_35095, _35098)) <=> member(_35092, _35095) & member(_35092, _35098)), file('/export/starexec/sandbox2/benchmark/Axioms/SET006+0.ax', intersection)).
% 0.83/1.41
% 0.83/1.41 cnf(1, plain, [-(8 ^ []), subset(4 ^ [], 5 ^ []), subset(4 ^ [], 6 ^ [])], clausify(thI46)).
% 0.83/1.41 cnf(2, plain, [-(8 ^ []), -(subset(4 ^ [], intersection(5 ^ [], 6 ^ [])))], clausify(thI46)).
% 0.83/1.41 cnf(3, plain, [-(7 ^ []), subset(4 ^ [], intersection(5 ^ [], 6 ^ []))], clausify(thI46)).
% 0.83/1.41 cnf(4, plain, [-(7 ^ []), -(subset(4 ^ [], 6 ^ []))], clausify(thI46)).
% 0.83/1.41 cnf(5, plain, [-(7 ^ []), -(subset(4 ^ [], 5 ^ []))], clausify(thI46)).
% 0.83/1.41 cnf(6, plain, [7 ^ [], 8 ^ []], clausify(thI46)).
% 0.83/1.41 cnf(7, plain, [-(subset(_14784, _14840)), -(member(1 ^ [_14840, _14784], _14784))], clausify(subset)).
% 0.83/1.41 cnf(8, plain, [-(subset(_14784, _14840)), member(1 ^ [_14840, _14784], _14840)], clausify(subset)).
% 0.83/1.41 cnf(9, plain, [subset(_14784, _14840), member(_14954, _14784), -(member(_14954, _14840))], clausify(subset)).
% 0.83/1.41 cnf(10, plain, [member(_15971, intersection(_16030, _16088)), -(member(_15971, _16030))], clausify(intersection)).
% 0.83/1.41 cnf(11, plain, [member(_15971, intersection(_16030, _16088)), -(member(_15971, _16088))], clausify(intersection)).
% 0.83/1.41 cnf(12, plain, [-(member(_15971, intersection(_16030, _16088))), member(_15971, _16030), member(_15971, _16088)], clausify(intersection)).
% 0.83/1.41
% 0.83/1.41 cnf('1',plain,[7 ^ [], 8 ^ []],start(6)).
% 0.83/1.41 cnf('1.1',plain,[-(7 ^ []), subset(4 ^ [], intersection(5 ^ [], 6 ^ []))],extension(3)).
% 0.83/1.41 cnf('1.1.1',plain,[-(subset(4 ^ [], intersection(5 ^ [], 6 ^ []))), -(member(1 ^ [intersection(5 ^ [], 6 ^ []), 4 ^ []], 4 ^ []))],extension(7,bind([[_14840, _14784], [intersection(5 ^ [], 6 ^ []), 4 ^ []]]))).
% 0.83/1.41 cnf('1.1.1.1',plain,[member(1 ^ [intersection(5 ^ [], 6 ^ []), 4 ^ []], 4 ^ []), subset(4 ^ [], 6 ^ []), -(member(1 ^ [intersection(5 ^ [], 6 ^ []), 4 ^ []], 6 ^ []))],extension(9,bind([[_14784, _14954, _14840], [4 ^ [], 1 ^ [intersection(5 ^ [], 6 ^ []), 4 ^ []], 6 ^ []]]))).
% 0.83/1.41 cnf('1.1.1.1.1',plain,[-(subset(4 ^ [], 6 ^ [])), -(7 ^ [])],extension(4)).
% 0.83/1.41 cnf('1.1.1.1.1.1',plain,[7 ^ []],reduction('1')).
% 0.83/1.41 cnf('1.1.1.1.2',plain,[member(1 ^ [intersection(5 ^ [], 6 ^ []), 4 ^ []], 6 ^ []), -(member(1 ^ [intersection(5 ^ [], 6 ^ []), 4 ^ []], intersection(5 ^ [], 6 ^ []))), member(1 ^ [intersection(5 ^ [], 6 ^ []), 4 ^ []], 5 ^ [])],extension(12,bind([[_16088, _15971, _16030], [6 ^ [], 1 ^ [intersection(5 ^ [], 6 ^ []), 4 ^ []], 5 ^ []]]))).
% 0.83/1.41 cnf('1.1.1.1.2.1',plain,[member(1 ^ [intersection(5 ^ [], 6 ^ []), 4 ^ []], intersection(5 ^ [], 6 ^ [])), -(subset(4 ^ [], intersection(5 ^ [], 6 ^ [])))],extension(8,bind([[_14784, _14840], [4 ^ [], intersection(5 ^ [], 6 ^ [])]]))).
% 0.83/1.41 cnf('1.1.1.1.2.1.1',plain,[subset(4 ^ [], intersection(5 ^ [], 6 ^ []))],reduction('1.1')).
% 0.83/1.41 cnf('1.1.1.1.2.2',plain,[-(member(1 ^ [intersection(5 ^ [], 6 ^ []), 4 ^ []], 5 ^ [])), subset(4 ^ [], 5 ^ []), member(1 ^ [intersection(5 ^ [], 6 ^ []), 4 ^ []], 4 ^ [])],extension(9,bind([[_14840, _14954, _14784], [5 ^ [], 1 ^ [intersection(5 ^ [], 6 ^ []), 4 ^ []], 4 ^ []]]))).
% 0.83/1.41 cnf('1.1.1.1.2.2.1',plain,[-(subset(4 ^ [], 5 ^ [])), -(7 ^ [])],extension(5)).
% 0.83/1.41 cnf('1.1.1.1.2.2.1.1',plain,[7 ^ []],reduction('1')).
% 0.83/1.41 cnf('1.1.1.1.2.2.2',plain,[-(member(1 ^ [intersection(5 ^ [], 6 ^ []), 4 ^ []], 4 ^ []))],reduction('1.1.1')).
% 0.83/1.41 cnf('1.2',plain,[-(8 ^ []), subset(4 ^ [], 5 ^ []), subset(4 ^ [], 6 ^ [])],extension(1)).
% 0.83/1.41 cnf('1.2.1',plain,[-(subset(4 ^ [], 5 ^ [])), -(member(1 ^ [5 ^ [], 4 ^ []], 4 ^ []))],extension(7,bind([[_14840, _14784], [5 ^ [], 4 ^ []]]))).
% 0.83/1.41 cnf('1.2.1.1',plain,[member(1 ^ [5 ^ [], 4 ^ []], 4 ^ []), subset(4 ^ [], intersection(5 ^ [], 6 ^ [])), -(member(1 ^ [5 ^ [], 4 ^ []], intersection(5 ^ [], 6 ^ [])))],extension(9,bind([[_14784, _14954, _14840], [4 ^ [], 1 ^ [5 ^ [], 4 ^ []], intersection(5 ^ [], 6 ^ [])]]))).
% 0.83/1.41 cnf('1.2.1.1.1',plain,[-(subset(4 ^ [], intersection(5 ^ [], 6 ^ []))), -(8 ^ [])],extension(2)).
% 0.83/1.41 cnf('1.2.1.1.1.1',plain,[8 ^ []],reduction('1')).
% 0.83/1.41 cnf('1.2.1.1.2',plain,[member(1 ^ [5 ^ [], 4 ^ []], intersection(5 ^ [], 6 ^ [])), -(member(1 ^ [5 ^ [], 4 ^ []], 5 ^ []))],extension(10,bind([[_16088, _15971, _16030], [6 ^ [], 1 ^ [5 ^ [], 4 ^ []], 5 ^ []]]))).
% 0.83/1.41 cnf('1.2.1.1.2.1',plain,[member(1 ^ [5 ^ [], 4 ^ []], 5 ^ []), -(subset(4 ^ [], 5 ^ []))],extension(8,bind([[_14784, _14840], [4 ^ [], 5 ^ []]]))).
% 0.83/1.41 cnf('1.2.1.1.2.1.1',plain,[subset(4 ^ [], 5 ^ [])],reduction('1.2')).
% 0.83/1.41 cnf('1.2.2',plain,[-(subset(4 ^ [], 6 ^ [])), -(member(1 ^ [6 ^ [], 4 ^ []], 4 ^ []))],extension(7,bind([[_14840, _14784], [6 ^ [], 4 ^ []]]))).
% 0.83/1.41 cnf('1.2.2.1',plain,[member(1 ^ [6 ^ [], 4 ^ []], 4 ^ []), subset(4 ^ [], intersection(5 ^ [], 6 ^ [])), -(member(1 ^ [6 ^ [], 4 ^ []], intersection(5 ^ [], 6 ^ [])))],extension(9,bind([[_14784, _14954, _14840], [4 ^ [], 1 ^ [6 ^ [], 4 ^ []], intersection(5 ^ [], 6 ^ [])]]))).
% 0.83/1.41 cnf('1.2.2.1.1',plain,[-(subset(4 ^ [], intersection(5 ^ [], 6 ^ []))), -(8 ^ [])],extension(2)).
% 0.83/1.41 cnf('1.2.2.1.1.1',plain,[8 ^ []],reduction('1')).
% 0.83/1.41 cnf('1.2.2.1.2',plain,[member(1 ^ [6 ^ [], 4 ^ []], intersection(5 ^ [], 6 ^ [])), -(member(1 ^ [6 ^ [], 4 ^ []], 6 ^ []))],extension(11,bind([[_16030, _15971, _16088], [5 ^ [], 1 ^ [6 ^ [], 4 ^ []], 6 ^ []]]))).
% 0.83/1.41 cnf('1.2.2.1.2.1',plain,[member(1 ^ [6 ^ [], 4 ^ []], 6 ^ []), -(subset(4 ^ [], 6 ^ []))],extension(8,bind([[_14784, _14840], [4 ^ [], 6 ^ []]]))).
% 0.83/1.41 cnf('1.2.2.1.2.1.1',plain,[subset(4 ^ [], 6 ^ [])],reduction('1.2')).
% 0.83/1.41 %-----------------------------------------------------
% 0.83/1.42
% 0.83/1.42 % SZS output end Proof for /export/starexec/sandbox2/benchmark/theBenchmark.p
%------------------------------------------------------------------------------