%------------------------------------------------------------------------------
% File : leanCoP---2.2
% Problem : SEU211+1 : TPTP v8.1.0. Released v3.3.0.
% Transfm : none
% Format : tptp:raw
% Command : leancop_casc.sh %s %d
% Computer : n005.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 12:01:02 EDT 2022
% Result : Theorem 0.56s 1.40s
% Output : Proof 0.56s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12 % Problem : SEU211+1 : TPTP v8.1.0. Released v3.3.0.
% 0.11/0.12 % Command : leancop_casc.sh %s %d
% 0.12/0.33 % Computer : n005.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 : Mon Jun 20 06:07:53 EDT 2022
% 0.12/0.33 % CPUTime :
% 0.56/1.40 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.56/1.41 % SZS output start Proof for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.56/1.41
% 0.56/1.41 %-----------------------------------------------------
% 0.56/1.41 fof(t178_relat_1, conjecture, ! [_46596, _46599, _46602] : (relation(_46602) => subset(_46596, _46599) => subset(relation_inverse_image(_46602, _46596), relation_inverse_image(_46602, _46599))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', t178_relat_1)).
% 0.56/1.41 fof(d14_relat_1, axiom, ! [_46877] : (relation(_46877) => ! [_46892, _46895] : (_46895 = relation_inverse_image(_46877, _46892) <=> ! [_46916] : (in(_46916, _46895) <=> ? [_46934] : (in(ordered_pair(_46916, _46934), _46877) & in(_46934, _46892))))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', d14_relat_1)).
% 0.56/1.41 fof(d3_tarski, axiom, ! [_47245, _47248] : (subset(_47245, _47248) <=> ! [_47266] : (in(_47266, _47245) => in(_47266, _47248))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', d3_tarski)).
% 0.56/1.41
% 0.56/1.41 cnf(1, plain, [-(relation(14 ^ []))], clausify(t178_relat_1)).
% 0.56/1.41 cnf(2, plain, [-(subset(12 ^ [], 13 ^ []))], clausify(t178_relat_1)).
% 0.56/1.41 cnf(3, plain, [subset(relation_inverse_image(14 ^ [], 12 ^ []), relation_inverse_image(14 ^ [], 13 ^ []))], clausify(t178_relat_1)).
% 0.56/1.41 cnf(4, plain, [-(relation_inverse_image(_16846, _16979) = relation_inverse_image(_16913, _17044)), _16846 = _16913, _16979 = _17044], theory(equality)).
% 0.56/1.41 cnf(5, plain, [-(_12390 = _12390)], theory(equality)).
% 0.56/1.41 cnf(6, plain, [-(in(_14318, _14449)), in(_14251, _14384), _14251 = _14318, _14384 = _14449], theory(equality)).
% 0.56/1.41 cnf(7, plain, [relation(_19359), _19557 = relation_inverse_image(_19359, _19480), in(_19729, _19557), -(in(ordered_pair(_19729, 1 ^ [_19729, _19557, _19480, _19359]), _19359))], clausify(d14_relat_1)).
% 0.56/1.41 cnf(8, plain, [relation(_19359), _19557 = relation_inverse_image(_19359, _19480), in(_19729, _19557), -(in(1 ^ [_19729, _19557, _19480, _19359], _19480))], clausify(d14_relat_1)).
% 0.56/1.41 cnf(9, plain, [relation(_19359), _19557 = relation_inverse_image(_19359, _19480), -(in(_19729, _19557)), in(ordered_pair(_19729, _19855), _19359), in(_19855, _19480)], clausify(d14_relat_1)).
% 0.56/1.41 cnf(10, plain, [-(subset(_20238, _20294)), -(in(4 ^ [_20294, _20238], _20238))], clausify(d3_tarski)).
% 0.56/1.41 cnf(11, plain, [-(subset(_20238, _20294)), in(4 ^ [_20294, _20238], _20294)], clausify(d3_tarski)).
% 0.56/1.41 cnf(12, plain, [subset(_20238, _20294), in(_20408, _20238), -(in(_20408, _20294))], clausify(d3_tarski)).
% 0.56/1.41
% 0.56/1.41 cnf('1',plain,[subset(relation_inverse_image(14 ^ [], 12 ^ []), relation_inverse_image(14 ^ [], 13 ^ []))],start(3)).
% 0.56/1.41 cnf('1.1',plain,[-(subset(relation_inverse_image(14 ^ [], 12 ^ []), relation_inverse_image(14 ^ [], 13 ^ []))), in(4 ^ [relation_inverse_image(14 ^ [], 13 ^ []), relation_inverse_image(14 ^ [], 12 ^ [])], relation_inverse_image(14 ^ [], 13 ^ []))],extension(11,bind([[_20238, _20294], [relation_inverse_image(14 ^ [], 12 ^ []), relation_inverse_image(14 ^ [], 13 ^ [])]]))).
% 0.56/1.41 cnf('1.1.1',plain,[-(in(4 ^ [relation_inverse_image(14 ^ [], 13 ^ []), relation_inverse_image(14 ^ [], 12 ^ [])], relation_inverse_image(14 ^ [], 13 ^ []))), relation(14 ^ []), relation_inverse_image(14 ^ [], 13 ^ []) = relation_inverse_image(14 ^ [], 13 ^ []), in(ordered_pair(4 ^ [relation_inverse_image(14 ^ [], 13 ^ []), relation_inverse_image(14 ^ [], 12 ^ [])], 1 ^ [4 ^ [relation_inverse_image(14 ^ [], 13 ^ []), relation_inverse_image(14 ^ [], 12 ^ [])], relation_inverse_image(14 ^ [], 12 ^ []), 12 ^ [], 14 ^ []]), 14 ^ []), in(1 ^ [4 ^ [relation_inverse_image(14 ^ [], 13 ^ []), relation_inverse_image(14 ^ [], 12 ^ [])], relation_inverse_image(14 ^ [], 12 ^ []), 12 ^ [], 14 ^ []], 13 ^ [])],extension(9,bind([[_19557, _19729, _19359, _19855, _19480], [relation_inverse_image(14 ^ [], 13 ^ []), 4 ^ [relation_inverse_image(14 ^ [], 13 ^ []), relation_inverse_image(14 ^ [], 12 ^ [])], 14 ^ [], 1 ^ [4 ^ [relation_inverse_image(14 ^ [], 13 ^ []), relation_inverse_image(14 ^ [], 12 ^ [])], relation_inverse_image(14 ^ [], 12 ^ []), 12 ^ [], 14 ^ []], 13 ^ []]]))).
% 0.56/1.41 cnf('1.1.1.1',plain,[-(relation(14 ^ []))],extension(1)).
% 0.56/1.41 cnf('1.1.1.2',plain,[-(relation_inverse_image(14 ^ [], 13 ^ []) = relation_inverse_image(14 ^ [], 13 ^ [])), 14 ^ [] = 14 ^ [], 13 ^ [] = 13 ^ []],extension(4,bind([[_16846, _16913, _16979, _17044], [14 ^ [], 14 ^ [], 13 ^ [], 13 ^ []]]))).
% 0.56/1.41 cnf('1.1.1.2.1',plain,[-(14 ^ [] = 14 ^ [])],extension(5,bind([[_12390], [14 ^ []]]))).
% 0.56/1.41 cnf('1.1.1.2.2',plain,[-(13 ^ [] = 13 ^ [])],extension(5,bind([[_12390], [13 ^ []]]))).
% 0.56/1.41 cnf('1.1.1.3',plain,[-(in(ordered_pair(4 ^ [relation_inverse_image(14 ^ [], 13 ^ []), relation_inverse_image(14 ^ [], 12 ^ [])], 1 ^ [4 ^ [relation_inverse_image(14 ^ [], 13 ^ []), relation_inverse_image(14 ^ [], 12 ^ [])], relation_inverse_image(14 ^ [], 12 ^ []), 12 ^ [], 14 ^ []]), 14 ^ [])), relation(14 ^ []), relation_inverse_image(14 ^ [], 12 ^ []) = relation_inverse_image(14 ^ [], 12 ^ []), in(4 ^ [relation_inverse_image(14 ^ [], 13 ^ []), relation_inverse_image(14 ^ [], 12 ^ [])], relation_inverse_image(14 ^ [], 12 ^ []))],extension(7,bind([[_19359, _19480, _19729, _19557], [14 ^ [], 12 ^ [], 4 ^ [relation_inverse_image(14 ^ [], 13 ^ []), relation_inverse_image(14 ^ [], 12 ^ [])], relation_inverse_image(14 ^ [], 12 ^ [])]]))).
% 0.56/1.41 cnf('1.1.1.3.1',plain,[-(relation(14 ^ []))],extension(1)).
% 0.56/1.41 cnf('1.1.1.3.2',plain,[-(relation_inverse_image(14 ^ [], 12 ^ []) = relation_inverse_image(14 ^ [], 12 ^ [])), 14 ^ [] = 14 ^ [], 12 ^ [] = 12 ^ []],extension(4,bind([[_16846, _16913, _16979, _17044], [14 ^ [], 14 ^ [], 12 ^ [], 12 ^ []]]))).
% 0.56/1.41 cnf('1.1.1.3.2.1',plain,[-(14 ^ [] = 14 ^ [])],extension(5,bind([[_12390], [14 ^ []]]))).
% 0.56/1.41 cnf('1.1.1.3.2.2',plain,[-(12 ^ [] = 12 ^ [])],extension(5,bind([[_12390], [12 ^ []]]))).
% 0.56/1.41 cnf('1.1.1.3.3',plain,[-(in(4 ^ [relation_inverse_image(14 ^ [], 13 ^ []), relation_inverse_image(14 ^ [], 12 ^ [])], relation_inverse_image(14 ^ [], 12 ^ []))), in(4 ^ [relation_inverse_image(14 ^ [], 13 ^ []), relation_inverse_image(14 ^ [], 12 ^ [])], relation_inverse_image(14 ^ [], 12 ^ [])), 4 ^ [relation_inverse_image(14 ^ [], 13 ^ []), relation_inverse_image(14 ^ [], 12 ^ [])] = 4 ^ [relation_inverse_image(14 ^ [], 13 ^ []), relation_inverse_image(14 ^ [], 12 ^ [])], relation_inverse_image(14 ^ [], 12 ^ []) = relation_inverse_image(14 ^ [], 12 ^ [])],extension(6,bind([[_14251, _14318, _14384, _14449], [4 ^ [relation_inverse_image(14 ^ [], 13 ^ []), relation_inverse_image(14 ^ [], 12 ^ [])], 4 ^ [relation_inverse_image(14 ^ [], 13 ^ []), relation_inverse_image(14 ^ [], 12 ^ [])], relation_inverse_image(14 ^ [], 12 ^ []), relation_inverse_image(14 ^ [], 12 ^ [])]]))).
% 0.56/1.41 cnf('1.1.1.3.3.1',plain,[-(in(4 ^ [relation_inverse_image(14 ^ [], 13 ^ []), relation_inverse_image(14 ^ [], 12 ^ [])], relation_inverse_image(14 ^ [], 12 ^ []))), -(subset(relation_inverse_image(14 ^ [], 12 ^ []), relation_inverse_image(14 ^ [], 13 ^ [])))],extension(10,bind([[_20238, _20294], [relation_inverse_image(14 ^ [], 12 ^ []), relation_inverse_image(14 ^ [], 13 ^ [])]]))).
% 0.56/1.41 cnf('1.1.1.3.3.1.1',plain,[subset(relation_inverse_image(14 ^ [], 12 ^ []), relation_inverse_image(14 ^ [], 13 ^ []))],extension(3)).
% 0.56/1.41 cnf('1.1.1.3.3.2',plain,[-(4 ^ [relation_inverse_image(14 ^ [], 13 ^ []), relation_inverse_image(14 ^ [], 12 ^ [])] = 4 ^ [relation_inverse_image(14 ^ [], 13 ^ []), relation_inverse_image(14 ^ [], 12 ^ [])])],extension(5,bind([[_12390], [4 ^ [relation_inverse_image(14 ^ [], 13 ^ []), relation_inverse_image(14 ^ [], 12 ^ [])]]]))).
% 0.56/1.41 cnf('1.1.1.3.3.3',plain,[-(relation_inverse_image(14 ^ [], 12 ^ []) = relation_inverse_image(14 ^ [], 12 ^ []))],extension(5,bind([[_12390], [relation_inverse_image(14 ^ [], 12 ^ [])]]))).
% 0.56/1.41 cnf('1.1.1.4',plain,[-(in(1 ^ [4 ^ [relation_inverse_image(14 ^ [], 13 ^ []), relation_inverse_image(14 ^ [], 12 ^ [])], relation_inverse_image(14 ^ [], 12 ^ []), 12 ^ [], 14 ^ []], 13 ^ [])), subset(12 ^ [], 13 ^ []), in(1 ^ [4 ^ [relation_inverse_image(14 ^ [], 13 ^ []), relation_inverse_image(14 ^ [], 12 ^ [])], relation_inverse_image(14 ^ [], 12 ^ []), 12 ^ [], 14 ^ []], 12 ^ [])],extension(12,bind([[_20294, _20408, _20238], [13 ^ [], 1 ^ [4 ^ [relation_inverse_image(14 ^ [], 13 ^ []), relation_inverse_image(14 ^ [], 12 ^ [])], relation_inverse_image(14 ^ [], 12 ^ []), 12 ^ [], 14 ^ []], 12 ^ []]]))).
% 0.56/1.41 cnf('1.1.1.4.1',plain,[-(subset(12 ^ [], 13 ^ []))],extension(2)).
% 0.56/1.41 cnf('1.1.1.4.2',plain,[-(in(1 ^ [4 ^ [relation_inverse_image(14 ^ [], 13 ^ []), relation_inverse_image(14 ^ [], 12 ^ [])], relation_inverse_image(14 ^ [], 12 ^ []), 12 ^ [], 14 ^ []], 12 ^ [])), relation(14 ^ []), relation_inverse_image(14 ^ [], 12 ^ []) = relation_inverse_image(14 ^ [], 12 ^ []), in(4 ^ [relation_inverse_image(14 ^ [], 13 ^ []), relation_inverse_image(14 ^ [], 12 ^ [])], relation_inverse_image(14 ^ [], 12 ^ []))],extension(8,bind([[_19359, _19480, _19729, _19557], [14 ^ [], 12 ^ [], 4 ^ [relation_inverse_image(14 ^ [], 13 ^ []), relation_inverse_image(14 ^ [], 12 ^ [])], relation_inverse_image(14 ^ [], 12 ^ [])]]))).
% 0.56/1.41 cnf('1.1.1.4.2.1',plain,[-(relation(14 ^ []))],extension(1)).
% 0.56/1.41 cnf('1.1.1.4.2.2',plain,[-(relation_inverse_image(14 ^ [], 12 ^ []) = relation_inverse_image(14 ^ [], 12 ^ []))],extension(5,bind([[_12390], [relation_inverse_image(14 ^ [], 12 ^ [])]]))).
% 0.56/1.41 cnf('1.1.1.4.2.3',plain,[-(in(4 ^ [relation_inverse_image(14 ^ [], 13 ^ []), relation_inverse_image(14 ^ [], 12 ^ [])], relation_inverse_image(14 ^ [], 12 ^ []))), -(subset(relation_inverse_image(14 ^ [], 12 ^ []), relation_inverse_image(14 ^ [], 13 ^ [])))],extension(10,bind([[_20238, _20294], [relation_inverse_image(14 ^ [], 12 ^ []), relation_inverse_image(14 ^ [], 13 ^ [])]]))).
% 0.56/1.41 cnf('1.1.1.4.2.3.1',plain,[subset(relation_inverse_image(14 ^ [], 12 ^ []), relation_inverse_image(14 ^ [], 13 ^ []))],extension(3)).
% 0.56/1.41 %-----------------------------------------------------
% 0.56/1.42
% 0.56/1.42 % SZS output end Proof for /export/starexec/sandbox2/benchmark/theBenchmark.p
%------------------------------------------------------------------------------