%------------------------------------------------------------------------------
% File : leanCoP---2.2
% Problem : SET013+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 02:49:53 EDT 2022
% Result : Theorem 0.89s 1.40s
% Output : Proof 0.89s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.08/0.12 % Problem : SET013+4 : TPTP v8.1.0. Released v2.2.0.
% 0.08/0.12 % 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 20:48:44 EDT 2022
% 0.12/0.34 % CPUTime :
% 0.89/1.40 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.89/1.41 % SZS output start Proof for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.89/1.42
% 0.89/1.42 %-----------------------------------------------------
% 0.89/1.42 fof(thI06, conjecture, ! [_31789, _31792] : equal_set(intersection(_31789, _31792), intersection(_31792, _31789)), file('/export/starexec/sandbox/benchmark/theBenchmark.p', thI06)).
% 0.89/1.42 fof(subset, axiom, ! [_31953, _31956] : (subset(_31953, _31956) <=> ! [_31974] : (member(_31974, _31953) => member(_31974, _31956))), file('/export/starexec/sandbox/benchmark/Axioms/SET006+0.ax', subset)).
% 0.89/1.42 fof(equal_set, axiom, ! [_32172, _32175] : (equal_set(_32172, _32175) <=> subset(_32172, _32175) & subset(_32175, _32172)), file('/export/starexec/sandbox/benchmark/Axioms/SET006+0.ax', equal_set)).
% 0.89/1.42 fof(intersection, axiom, ! [_32348, _32351, _32354] : (member(_32348, intersection(_32351, _32354)) <=> member(_32348, _32351) & member(_32348, _32354)), file('/export/starexec/sandbox/benchmark/Axioms/SET006+0.ax', intersection)).
% 0.89/1.42
% 0.89/1.42 cnf(1, plain, [equal_set(intersection(4 ^ [], 5 ^ []), intersection(5 ^ [], 4 ^ []))], clausify(thI06)).
% 0.89/1.42 cnf(2, plain, [-(subset(_14596, _14652)), -(member(1 ^ [_14652, _14596], _14596))], clausify(subset)).
% 0.89/1.42 cnf(3, plain, [-(subset(_14596, _14652)), member(1 ^ [_14652, _14596], _14652)], clausify(subset)).
% 0.89/1.42 cnf(4, plain, [-(equal_set(_15057, _15108)), subset(_15057, _15108), subset(_15108, _15057)], clausify(equal_set)).
% 0.89/1.42 cnf(5, plain, [member(_15783, intersection(_15842, _15900)), -(member(_15783, _15842))], clausify(intersection)).
% 0.89/1.42 cnf(6, plain, [member(_15783, intersection(_15842, _15900)), -(member(_15783, _15900))], clausify(intersection)).
% 0.89/1.42 cnf(7, plain, [-(member(_15783, intersection(_15842, _15900))), member(_15783, _15842), member(_15783, _15900)], clausify(intersection)).
% 0.89/1.42
% 0.89/1.42 cnf('1',plain,[equal_set(intersection(4 ^ [], 5 ^ []), intersection(5 ^ [], 4 ^ []))],start(1)).
% 0.89/1.42 cnf('1.1',plain,[-(equal_set(intersection(4 ^ [], 5 ^ []), intersection(5 ^ [], 4 ^ []))), subset(intersection(4 ^ [], 5 ^ []), intersection(5 ^ [], 4 ^ [])), subset(intersection(5 ^ [], 4 ^ []), intersection(4 ^ [], 5 ^ []))],extension(4,bind([[_15108, _15057], [intersection(5 ^ [], 4 ^ []), intersection(4 ^ [], 5 ^ [])]]))).
% 0.89/1.42 cnf('1.1.1',plain,[-(subset(intersection(4 ^ [], 5 ^ []), intersection(5 ^ [], 4 ^ []))), -(member(1 ^ [intersection(5 ^ [], 4 ^ []), intersection(4 ^ [], 5 ^ [])], intersection(4 ^ [], 5 ^ [])))],extension(2,bind([[_14652, _14596], [intersection(5 ^ [], 4 ^ []), intersection(4 ^ [], 5 ^ [])]]))).
% 0.89/1.42 cnf('1.1.1.1',plain,[member(1 ^ [intersection(5 ^ [], 4 ^ []), intersection(4 ^ [], 5 ^ [])], intersection(4 ^ [], 5 ^ [])), -(member(1 ^ [intersection(5 ^ [], 4 ^ []), intersection(4 ^ [], 5 ^ [])], 4 ^ []))],extension(5,bind([[_15900, _15783, _15842], [5 ^ [], 1 ^ [intersection(5 ^ [], 4 ^ []), intersection(4 ^ [], 5 ^ [])], 4 ^ []]]))).
% 0.89/1.42 cnf('1.1.1.1.1',plain,[member(1 ^ [intersection(5 ^ [], 4 ^ []), intersection(4 ^ [], 5 ^ [])], 4 ^ []), -(member(1 ^ [intersection(5 ^ [], 4 ^ []), intersection(4 ^ [], 5 ^ [])], intersection(5 ^ [], 4 ^ []))), member(1 ^ [intersection(5 ^ [], 4 ^ []), intersection(4 ^ [], 5 ^ [])], 5 ^ [])],extension(7,bind([[_15900, _15783, _15842], [4 ^ [], 1 ^ [intersection(5 ^ [], 4 ^ []), intersection(4 ^ [], 5 ^ [])], 5 ^ []]]))).
% 0.89/1.42 cnf('1.1.1.1.1.1',plain,[member(1 ^ [intersection(5 ^ [], 4 ^ []), intersection(4 ^ [], 5 ^ [])], intersection(5 ^ [], 4 ^ [])), -(subset(intersection(4 ^ [], 5 ^ []), intersection(5 ^ [], 4 ^ [])))],extension(3,bind([[_14596, _14652], [intersection(4 ^ [], 5 ^ []), intersection(5 ^ [], 4 ^ [])]]))).
% 0.89/1.42 cnf('1.1.1.1.1.1.1',plain,[subset(intersection(4 ^ [], 5 ^ []), intersection(5 ^ [], 4 ^ []))],reduction('1.1')).
% 0.89/1.42 cnf('1.1.1.1.1.2',plain,[-(member(1 ^ [intersection(5 ^ [], 4 ^ []), intersection(4 ^ [], 5 ^ [])], 5 ^ [])), member(1 ^ [intersection(5 ^ [], 4 ^ []), intersection(4 ^ [], 5 ^ [])], intersection(4 ^ [], 5 ^ []))],extension(6,bind([[_15783, _15842, _15900], [1 ^ [intersection(5 ^ [], 4 ^ []), intersection(4 ^ [], 5 ^ [])], 4 ^ [], 5 ^ []]]))).
% 0.89/1.42 cnf('1.1.1.1.1.2.1',plain,[-(member(1 ^ [intersection(5 ^ [], 4 ^ []), intersection(4 ^ [], 5 ^ [])], intersection(4 ^ [], 5 ^ [])))],reduction('1.1.1')).
% 0.89/1.42 cnf('1.1.2',plain,[-(subset(intersection(5 ^ [], 4 ^ []), intersection(4 ^ [], 5 ^ []))), -(member(1 ^ [intersection(4 ^ [], 5 ^ []), intersection(5 ^ [], 4 ^ [])], intersection(5 ^ [], 4 ^ [])))],extension(2,bind([[_14652, _14596], [intersection(4 ^ [], 5 ^ []), intersection(5 ^ [], 4 ^ [])]]))).
% 0.89/1.42 cnf('1.1.2.1',plain,[member(1 ^ [intersection(4 ^ [], 5 ^ []), intersection(5 ^ [], 4 ^ [])], intersection(5 ^ [], 4 ^ [])), -(member(1 ^ [intersection(4 ^ [], 5 ^ []), intersection(5 ^ [], 4 ^ [])], 5 ^ []))],extension(5,bind([[_15900, _15783, _15842], [4 ^ [], 1 ^ [intersection(4 ^ [], 5 ^ []), intersection(5 ^ [], 4 ^ [])], 5 ^ []]]))).
% 0.89/1.42 cnf('1.1.2.1.1',plain,[member(1 ^ [intersection(4 ^ [], 5 ^ []), intersection(5 ^ [], 4 ^ [])], 5 ^ []), -(member(1 ^ [intersection(4 ^ [], 5 ^ []), intersection(5 ^ [], 4 ^ [])], intersection(4 ^ [], 5 ^ []))), member(1 ^ [intersection(4 ^ [], 5 ^ []), intersection(5 ^ [], 4 ^ [])], 4 ^ [])],extension(7,bind([[_15900, _15783, _15842], [5 ^ [], 1 ^ [intersection(4 ^ [], 5 ^ []), intersection(5 ^ [], 4 ^ [])], 4 ^ []]]))).
% 0.89/1.42 cnf('1.1.2.1.1.1',plain,[member(1 ^ [intersection(4 ^ [], 5 ^ []), intersection(5 ^ [], 4 ^ [])], intersection(4 ^ [], 5 ^ [])), -(subset(intersection(5 ^ [], 4 ^ []), intersection(4 ^ [], 5 ^ [])))],extension(3,bind([[_14596, _14652], [intersection(5 ^ [], 4 ^ []), intersection(4 ^ [], 5 ^ [])]]))).
% 0.89/1.42 cnf('1.1.2.1.1.1.1',plain,[subset(intersection(5 ^ [], 4 ^ []), intersection(4 ^ [], 5 ^ []))],reduction('1.1')).
% 0.89/1.42 cnf('1.1.2.1.1.2',plain,[-(member(1 ^ [intersection(4 ^ [], 5 ^ []), intersection(5 ^ [], 4 ^ [])], 4 ^ [])), member(1 ^ [intersection(4 ^ [], 5 ^ []), intersection(5 ^ [], 4 ^ [])], intersection(5 ^ [], 4 ^ []))],extension(6,bind([[_15783, _15842, _15900], [1 ^ [intersection(4 ^ [], 5 ^ []), intersection(5 ^ [], 4 ^ [])], 5 ^ [], 4 ^ []]]))).
% 0.89/1.42 cnf('1.1.2.1.1.2.1',plain,[-(member(1 ^ [intersection(4 ^ [], 5 ^ []), intersection(5 ^ [], 4 ^ [])], intersection(5 ^ [], 4 ^ [])))],reduction('1.1.2')).
% 0.89/1.42 %-----------------------------------------------------
% 0.89/1.42
% 0.89/1.42 % SZS output end Proof for /export/starexec/sandbox/benchmark/theBenchmark.p
%------------------------------------------------------------------------------