%------------------------------------------------------------------------------
% File : leanCoP---2.2
% Problem : SET642+3 : TPTP v8.1.0. Released v2.2.0.
% Transfm : none
% Format : tptp:raw
% Command : leancop_casc.sh %s %d
% Computer : n026.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 02:55:05 EDT 2022
% Result : Theorem 0.36s 1.42s
% Output : Proof 0.36s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.13 % Problem : SET642+3 : TPTP v8.1.0. Released v2.2.0.
% 0.12/0.13 % Command : leancop_casc.sh %s %d
% 0.13/0.35 % Computer : n026.cluster.edu
% 0.13/0.35 % Model : x86_64 x86_64
% 0.13/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.35 % Memory : 8042.1875MB
% 0.13/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.35 % CPULimit : 300
% 0.13/0.35 % WCLimit : 600
% 0.13/0.35 % DateTime : Sun Jul 10 09:22:26 EDT 2022
% 0.13/0.35 % CPUTime :
% 0.36/1.42 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.36/1.43 % SZS output start Proof for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.36/1.44
% 0.36/1.44 %-----------------------------------------------------
% 0.36/1.44 fof(prove_relset_1_4, conjecture, ! [_45544] : (ilf_type(_45544, set_type) => ! [_45562] : (ilf_type(_45562, set_type) => ! [_45580] : (ilf_type(_45580, set_type) => ! [_45598] : (ilf_type(_45598, relation_type(_45562, _45580)) => subset(_45544, _45598) => ilf_type(_45544, relation_type(_45562, _45580)))))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', prove_relset_1_4)).
% 0.36/1.44 fof(p1, axiom, ! [_45982] : (ilf_type(_45982, set_type) => ! [_46000] : (ilf_type(_46000, set_type) => ! [_46018] : (ilf_type(_46018, set_type) => ! [_46036] : (ilf_type(_46036, relation_type(_46000, _46018)) => subset(_45982, _46036) => subset(_45982, cross_product(_46000, _46018)))))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', p1)).
% 0.36/1.44 fof(p2, axiom, ! [_46351] : (ilf_type(_46351, set_type) => ! [_46369] : (ilf_type(_46369, set_type) => ! [_46387] : (ilf_type(_46387, set_type) => subset(_46351, cross_product(_46369, _46387)) => ilf_type(_46351, relation_type(_46369, _46387))))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', p2)).
% 0.36/1.44
% 0.36/1.44 cnf(1, plain, [-(ilf_type(10 ^ [], set_type))], clausify(prove_relset_1_4)).
% 0.36/1.44 cnf(2, plain, [-(ilf_type(11 ^ [], set_type))], clausify(prove_relset_1_4)).
% 0.36/1.44 cnf(3, plain, [-(ilf_type(12 ^ [], set_type))], clausify(prove_relset_1_4)).
% 0.36/1.44 cnf(4, plain, [-(ilf_type(13 ^ [], relation_type(11 ^ [], 12 ^ [])))], clausify(prove_relset_1_4)).
% 0.36/1.44 cnf(5, plain, [-(subset(10 ^ [], 13 ^ []))], clausify(prove_relset_1_4)).
% 0.36/1.44 cnf(6, plain, [ilf_type(10 ^ [], relation_type(11 ^ [], 12 ^ []))], clausify(prove_relset_1_4)).
% 0.36/1.44 cnf(7, plain, [ilf_type(_20418, set_type), ilf_type(_20562, set_type), ilf_type(_20699, set_type), ilf_type(_20829, relation_type(_20562, _20699)), subset(_20418, _20829), -(subset(_20418, cross_product(_20562, _20699)))], clausify(p1)).
% 0.36/1.44 cnf(8, plain, [ilf_type(_21321, set_type), ilf_type(_21454, set_type), ilf_type(_21580, set_type), subset(_21321, cross_product(_21454, _21580)), -(ilf_type(_21321, relation_type(_21454, _21580)))], clausify(p2)).
% 0.36/1.44
% 0.36/1.44 cnf('1',plain,[ilf_type(10 ^ [], relation_type(11 ^ [], 12 ^ []))],start(6)).
% 0.36/1.44 cnf('1.1',plain,[-(ilf_type(10 ^ [], relation_type(11 ^ [], 12 ^ []))), ilf_type(10 ^ [], set_type), ilf_type(11 ^ [], set_type), ilf_type(12 ^ [], set_type), subset(10 ^ [], cross_product(11 ^ [], 12 ^ []))],extension(8,bind([[_21321, _21454, _21580], [10 ^ [], 11 ^ [], 12 ^ []]]))).
% 0.36/1.44 cnf('1.1.1',plain,[-(ilf_type(10 ^ [], set_type))],extension(1)).
% 0.36/1.44 cnf('1.1.2',plain,[-(ilf_type(11 ^ [], set_type))],extension(2)).
% 0.36/1.44 cnf('1.1.3',plain,[-(ilf_type(12 ^ [], set_type))],extension(3)).
% 0.36/1.44 cnf('1.1.4',plain,[-(subset(10 ^ [], cross_product(11 ^ [], 12 ^ []))), ilf_type(10 ^ [], set_type), ilf_type(11 ^ [], set_type), ilf_type(12 ^ [], set_type), ilf_type(13 ^ [], relation_type(11 ^ [], 12 ^ [])), subset(10 ^ [], 13 ^ [])],extension(7,bind([[_20562, _20699, _20418, _20829], [11 ^ [], 12 ^ [], 10 ^ [], 13 ^ []]]))).
% 0.36/1.44 cnf('1.1.4.1',plain,[-(ilf_type(10 ^ [], set_type))],extension(1)).
% 0.36/1.44 cnf('1.1.4.2',plain,[-(ilf_type(11 ^ [], set_type))],extension(2)).
% 0.36/1.44 cnf('1.1.4.3',plain,[-(ilf_type(12 ^ [], set_type))],extension(3)).
% 0.36/1.44 cnf('1.1.4.4',plain,[-(ilf_type(13 ^ [], relation_type(11 ^ [], 12 ^ [])))],extension(4)).
% 0.36/1.44 cnf('1.1.4.5',plain,[-(subset(10 ^ [], 13 ^ []))],extension(5)).
% 0.36/1.44 %-----------------------------------------------------
% 0.36/1.44
% 0.36/1.44 % SZS output end Proof for /export/starexec/sandbox2/benchmark/theBenchmark.p
%------------------------------------------------------------------------------