TSTP Solution File: SEU449+1 by leanCoP---2.2
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : leanCoP---2.2
% Problem : SEU449+1 : TPTP v8.1.0. Released v3.4.0.
% Transfm : none
% Format : tptp:raw
% Command : leancop_casc.sh %s %d
% Computer : n007.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 12:03:10 EDT 2022
% Result : Theorem 1.19s 1.41s
% Output : Proof 1.19s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.13 % Problem : SEU449+1 : TPTP v8.1.0. Released v3.4.0.
% 0.07/0.13 % Command : leancop_casc.sh %s %d
% 0.13/0.34 % Computer : n007.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % WCLimit : 600
% 0.13/0.34 % DateTime : Mon Jun 20 03:45:59 EDT 2022
% 0.13/0.35 % CPUTime :
% 1.19/1.41 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p
% 1.19/1.42 % SZS output start Proof for /export/starexec/sandbox/benchmark/theBenchmark.p
% 1.19/1.42
% 1.19/1.42 %-----------------------------------------------------
% 1.19/1.42 fof(t63_relset_2, conjecture, ! [_91755, _91758, _91761] : (m1_subset_1(_91761, k1_zfmisc_1(_91755)) => ! [_91783] : (m1_subset_1(_91783, k1_zfmisc_1(_91758)) => ! [_91805] : (m2_relset_1(_91805, _91755, _91758) => r1_tarski(_91761, k8_relset_2(_91758, _91755, k8_relset_2(_91755, _91758, _91761, _91805), k6_relset_1(_91755, _91758, _91805))) & r1_tarski(_91783, k8_relset_2(_91755, _91758, k8_relset_2(_91758, _91755, _91783, k6_relset_1(_91755, _91758, _91805)), _91805))))), file('/export/starexec/sandbox/benchmark/theBenchmark.p', t63_relset_2)).
% 1.19/1.42 fof(t4_subset, axiom, ! [_92356, _92359, _92362] : (r2_hidden(_92356, _92359) & m1_subset_1(_92359, k1_zfmisc_1(_92362)) => m1_subset_1(_92356, _92362)), file('/export/starexec/sandbox/benchmark/theBenchmark.p', t4_subset)).
% 1.19/1.42 fof(t2_subset, axiom, ! [_92564, _92567] : (m1_subset_1(_92564, _92567) => v1_xboole_0(_92567) | r2_hidden(_92564, _92567)), file('/export/starexec/sandbox/benchmark/theBenchmark.p', t2_subset)).
% 1.19/1.42 fof(reflexivity_r1_tarski, axiom, ! [_92736, _92739] : r1_tarski(_92736, _92736), file('/export/starexec/sandbox/benchmark/theBenchmark.p', reflexivity_r1_tarski)).
% 1.19/1.42 fof(redefinition_m2_relset_1, axiom, ! [_92858, _92861, _92864] : (m2_relset_1(_92864, _92858, _92861) <=> m1_relset_1(_92864, _92858, _92861)), file('/export/starexec/sandbox/benchmark/theBenchmark.p', redefinition_m2_relset_1)).
% 1.19/1.42 fof(dt_k6_relset_1, axiom, ! [_93030, _93033, _93036] : (m1_relset_1(_93036, _93030, _93033) => m2_relset_1(k6_relset_1(_93030, _93033, _93036), _93033, _93030)), file('/export/starexec/sandbox/benchmark/theBenchmark.p', dt_k6_relset_1)).
% 1.19/1.42 fof(dt_k8_relset_2, axiom, ! [_93224, _93227, _93230, _93233] : (m1_subset_1(_93230, k1_zfmisc_1(_93224)) & m1_subset_1(_93233, k1_zfmisc_1(k2_zfmisc_1(_93224, _93227))) => m1_subset_1(k8_relset_2(_93224, _93227, _93230, _93233), k1_zfmisc_1(_93227))), file('/export/starexec/sandbox/benchmark/theBenchmark.p', dt_k8_relset_2)).
% 1.19/1.42 fof(dt_m2_relset_1, axiom, ! [_93493, _93496, _93499] : (m2_relset_1(_93499, _93493, _93496) => m1_subset_1(_93499, k1_zfmisc_1(k2_zfmisc_1(_93493, _93496)))), file('/export/starexec/sandbox/benchmark/theBenchmark.p', dt_m2_relset_1)).
% 1.19/1.42 fof(fc1_subset_1, axiom, ! [_93682] : ~ v1_xboole_0(k1_zfmisc_1(_93682)), file('/export/starexec/sandbox/benchmark/theBenchmark.p', fc1_subset_1)).
% 1.19/1.42 fof(t3_subset, axiom, ! [_93799, _93802] : (m1_subset_1(_93799, k1_zfmisc_1(_93802)) <=> r1_tarski(_93799, _93802)), file('/export/starexec/sandbox/benchmark/theBenchmark.p', t3_subset)).
% 1.19/1.42 fof(t61_relset_2, axiom, ! [_93954, _93957, _93960] : (m1_subset_1(_93960, k1_zfmisc_1(_93954)) => ! [_93982] : (m1_subset_1(_93982, k1_zfmisc_1(_93957)) => ! [_94004] : (m2_relset_1(_94004, _93954, _93957) => (r1_tarski(_93960, k8_relset_2(_93957, _93954, _93982, k6_relset_1(_93954, _93957, _94004))) <=> r1_tarski(_93982, k8_relset_2(_93954, _93957, _93960, _94004)))))), file('/export/starexec/sandbox/benchmark/theBenchmark.p', t61_relset_2)).
% 1.19/1.42
% 1.19/1.42 cnf(1, plain, [-(m1_subset_1(13 ^ [], k1_zfmisc_1(11 ^ [])))], clausify(t63_relset_2)).
% 1.19/1.42 cnf(2, plain, [-(m1_subset_1(14 ^ [], k1_zfmisc_1(12 ^ [])))], clausify(t63_relset_2)).
% 1.19/1.42 cnf(3, plain, [-(m2_relset_1(15 ^ [], 11 ^ [], 12 ^ []))], clausify(t63_relset_2)).
% 1.19/1.42 cnf(4, plain, [r1_tarski(13 ^ [], k8_relset_2(12 ^ [], 11 ^ [], k8_relset_2(11 ^ [], 12 ^ [], 13 ^ [], 15 ^ []), k6_relset_1(11 ^ [], 12 ^ [], 15 ^ []))), r1_tarski(14 ^ [], k8_relset_2(11 ^ [], 12 ^ [], k8_relset_2(12 ^ [], 11 ^ [], 14 ^ [], k6_relset_1(11 ^ [], 12 ^ [], 15 ^ [])), 15 ^ []))], clausify(t63_relset_2)).
% 1.19/1.42 cnf(5, plain, [-(_23801 = _23801)], theory(equality)).
% 1.19/1.42 cnf(6, plain, [-(r1_tarski(_28074, _28205)), r1_tarski(_28007, _28140), _28007 = _28074, _28140 = _28205], theory(equality)).
% 1.19/1.42 cnf(7, plain, [-(m1_subset_1(_49038, _49153)), r2_hidden(_49038, _49096), m1_subset_1(_49096, k1_zfmisc_1(_49153))], clausify(t4_subset)).
% 1.19/1.42 cnf(8, plain, [m1_subset_1(_53555, _53605), -(v1_xboole_0(_53605)), -(r2_hidden(_53555, _53605))], clausify(t2_subset)).
% 1.19/1.42 cnf(9, plain, [-(r1_tarski(_56553, _56553))], clausify(reflexivity_r1_tarski)).
% 1.19/1.42 cnf(10, plain, [m2_relset_1(_58879, _58776, _58828), -(m1_relset_1(_58879, _58776, _58828))], clausify(redefinition_m2_relset_1)).
% 1.19/1.42 cnf(11, plain, [m1_relset_1(_59481, _59370, _59426), -(m2_relset_1(k6_relset_1(_59370, _59426, _59481), _59426, _59370))], clausify(dt_k6_relset_1)).
% 1.19/1.42 cnf(12, plain, [-(m1_subset_1(k8_relset_2(_59920, _59995, _60069, _60142), k1_zfmisc_1(_59995))), m1_subset_1(_60069, k1_zfmisc_1(_59920)), m1_subset_1(_60142, k1_zfmisc_1(k2_zfmisc_1(_59920, _59995)))], clausify(dt_k8_relset_2)).
% 1.19/1.42 cnf(13, plain, [m2_relset_1(_60969, _60858, _60914), -(m1_subset_1(_60969, k1_zfmisc_1(k2_zfmisc_1(_60858, _60914))))], clausify(dt_m2_relset_1)).
% 1.19/1.42 cnf(14, plain, [v1_xboole_0(k1_zfmisc_1(_61344))], clausify(fc1_subset_1)).
% 1.19/1.42 cnf(15, plain, [-(m1_subset_1(_61532, k1_zfmisc_1(_61579))), r1_tarski(_61532, _61579)], clausify(t3_subset)).
% 1.19/1.42 cnf(16, plain, [m1_subset_1(_62045, k1_zfmisc_1(_61852)), m1_subset_1(_62215, k1_zfmisc_1(_61949)), m2_relset_1(_62376, _61852, _61949), r1_tarski(_62045, k8_relset_2(_61949, _61852, _62215, k6_relset_1(_61852, _61949, _62376))), -(r1_tarski(_62215, k8_relset_2(_61852, _61949, _62045, _62376)))], clausify(t61_relset_2)).
% 1.19/1.42 cnf(17, plain, [m1_subset_1(_62045, k1_zfmisc_1(_61852)), m1_subset_1(_62215, k1_zfmisc_1(_61949)), m2_relset_1(_62376, _61852, _61949), -(r1_tarski(_62045, k8_relset_2(_61949, _61852, _62215, k6_relset_1(_61852, _61949, _62376)))), r1_tarski(_62215, k8_relset_2(_61852, _61949, _62045, _62376))], clausify(t61_relset_2)).
% 1.19/1.42
% 1.19/1.42 cnf('1',plain,[r1_tarski(13 ^ [], k8_relset_2(12 ^ [], 11 ^ [], k8_relset_2(11 ^ [], 12 ^ [], 13 ^ [], 15 ^ []), k6_relset_1(11 ^ [], 12 ^ [], 15 ^ []))), r1_tarski(14 ^ [], k8_relset_2(11 ^ [], 12 ^ [], k8_relset_2(12 ^ [], 11 ^ [], 14 ^ [], k6_relset_1(11 ^ [], 12 ^ [], 15 ^ [])), 15 ^ []))],start(4)).
% 1.19/1.42 cnf('1.1',plain,[-(r1_tarski(13 ^ [], k8_relset_2(12 ^ [], 11 ^ [], k8_relset_2(11 ^ [], 12 ^ [], 13 ^ [], 15 ^ []), k6_relset_1(11 ^ [], 12 ^ [], 15 ^ [])))), m1_subset_1(13 ^ [], k1_zfmisc_1(11 ^ [])), m1_subset_1(k8_relset_2(11 ^ [], 12 ^ [], 13 ^ [], 15 ^ []), k1_zfmisc_1(12 ^ [])), m2_relset_1(15 ^ [], 11 ^ [], 12 ^ []), r1_tarski(k8_relset_2(11 ^ [], 12 ^ [], 13 ^ [], 15 ^ []), k8_relset_2(11 ^ [], 12 ^ [], 13 ^ [], 15 ^ []))],extension(17,bind([[_62215, _61852, _61949, _62045, _62376], [k8_relset_2(11 ^ [], 12 ^ [], 13 ^ [], 15 ^ []), 11 ^ [], 12 ^ [], 13 ^ [], 15 ^ []]]))).
% 1.19/1.42 cnf('1.1.1',plain,[-(m1_subset_1(13 ^ [], k1_zfmisc_1(11 ^ [])))],extension(1)).
% 1.19/1.42 cnf('1.1.2',plain,[-(m1_subset_1(k8_relset_2(11 ^ [], 12 ^ [], 13 ^ [], 15 ^ []), k1_zfmisc_1(12 ^ []))), r2_hidden(k8_relset_2(11 ^ [], 12 ^ [], 13 ^ [], 15 ^ []), k1_zfmisc_1(12 ^ [])), m1_subset_1(k1_zfmisc_1(12 ^ []), k1_zfmisc_1(k1_zfmisc_1(12 ^ [])))],extension(7,bind([[_49038, _49096, _49153], [k8_relset_2(11 ^ [], 12 ^ [], 13 ^ [], 15 ^ []), k1_zfmisc_1(12 ^ []), k1_zfmisc_1(12 ^ [])]]))).
% 1.19/1.42 cnf('1.1.2.1',plain,[-(r2_hidden(k8_relset_2(11 ^ [], 12 ^ [], 13 ^ [], 15 ^ []), k1_zfmisc_1(12 ^ []))), m1_subset_1(k8_relset_2(11 ^ [], 12 ^ [], 13 ^ [], 15 ^ []), k1_zfmisc_1(12 ^ [])), -(v1_xboole_0(k1_zfmisc_1(12 ^ [])))],extension(8,bind([[_53555, _53605], [k8_relset_2(11 ^ [], 12 ^ [], 13 ^ [], 15 ^ []), k1_zfmisc_1(12 ^ [])]]))).
% 1.19/1.42 cnf('1.1.2.1.1',plain,[-(m1_subset_1(k8_relset_2(11 ^ [], 12 ^ [], 13 ^ [], 15 ^ []), k1_zfmisc_1(12 ^ []))), m1_subset_1(13 ^ [], k1_zfmisc_1(11 ^ [])), m1_subset_1(15 ^ [], k1_zfmisc_1(k2_zfmisc_1(11 ^ [], 12 ^ [])))],extension(12,bind([[_60069, _60142, _59920, _59995], [13 ^ [], 15 ^ [], 11 ^ [], 12 ^ []]]))).
% 1.19/1.42 cnf('1.1.2.1.1.1',plain,[-(m1_subset_1(13 ^ [], k1_zfmisc_1(11 ^ [])))],extension(1)).
% 1.19/1.42 cnf('1.1.2.1.1.2',plain,[-(m1_subset_1(15 ^ [], k1_zfmisc_1(k2_zfmisc_1(11 ^ [], 12 ^ [])))), m2_relset_1(15 ^ [], 11 ^ [], 12 ^ [])],extension(13,bind([[_60969, _60858, _60914], [15 ^ [], 11 ^ [], 12 ^ []]]))).
% 1.19/1.42 cnf('1.1.2.1.1.2.1',plain,[-(m2_relset_1(15 ^ [], 11 ^ [], 12 ^ []))],extension(3)).
% 1.19/1.42 cnf('1.1.2.1.2',plain,[v1_xboole_0(k1_zfmisc_1(12 ^ []))],extension(14,bind([[_61344], [12 ^ []]]))).
% 1.19/1.42 cnf('1.1.2.2',plain,[-(m1_subset_1(k1_zfmisc_1(12 ^ []), k1_zfmisc_1(k1_zfmisc_1(12 ^ [])))), r1_tarski(k1_zfmisc_1(12 ^ []), k1_zfmisc_1(12 ^ []))],extension(15,bind([[_61532, _61579], [k1_zfmisc_1(12 ^ []), k1_zfmisc_1(12 ^ [])]]))).
% 1.19/1.42 cnf('1.1.2.2.1',plain,[-(r1_tarski(k1_zfmisc_1(12 ^ []), k1_zfmisc_1(12 ^ []))), r1_tarski(k1_zfmisc_1(12 ^ []), k1_zfmisc_1(12 ^ [])), k1_zfmisc_1(12 ^ []) = k1_zfmisc_1(12 ^ []), k1_zfmisc_1(12 ^ []) = k1_zfmisc_1(12 ^ [])],extension(6,bind([[_28007, _28074, _28140, _28205], [k1_zfmisc_1(12 ^ []), k1_zfmisc_1(12 ^ []), k1_zfmisc_1(12 ^ []), k1_zfmisc_1(12 ^ [])]]))).
% 1.19/1.42 cnf('1.1.2.2.1.1',plain,[-(r1_tarski(k1_zfmisc_1(12 ^ []), k1_zfmisc_1(12 ^ [])))],extension(9,bind([[_56553], [k1_zfmisc_1(12 ^ [])]]))).
% 1.19/1.42 cnf('1.1.2.2.1.2',plain,[-(k1_zfmisc_1(12 ^ []) = k1_zfmisc_1(12 ^ []))],extension(5,bind([[_23801], [k1_zfmisc_1(12 ^ [])]]))).
% 1.19/1.42 cnf('1.1.2.2.1.3',plain,[-(k1_zfmisc_1(12 ^ []) = k1_zfmisc_1(12 ^ []))],extension(5,bind([[_23801], [k1_zfmisc_1(12 ^ [])]]))).
% 1.19/1.42 cnf('1.1.3',plain,[-(m2_relset_1(15 ^ [], 11 ^ [], 12 ^ []))],extension(3)).
% 1.19/1.42 cnf('1.1.4',plain,[-(r1_tarski(k8_relset_2(11 ^ [], 12 ^ [], 13 ^ [], 15 ^ []), k8_relset_2(11 ^ [], 12 ^ [], 13 ^ [], 15 ^ [])))],extension(9,bind([[_56553], [k8_relset_2(11 ^ [], 12 ^ [], 13 ^ [], 15 ^ [])]]))).
% 1.19/1.42 cnf('1.2',plain,[-(r1_tarski(14 ^ [], k8_relset_2(11 ^ [], 12 ^ [], k8_relset_2(12 ^ [], 11 ^ [], 14 ^ [], k6_relset_1(11 ^ [], 12 ^ [], 15 ^ [])), 15 ^ []))), m1_subset_1(k8_relset_2(12 ^ [], 11 ^ [], 14 ^ [], k6_relset_1(11 ^ [], 12 ^ [], 15 ^ [])), k1_zfmisc_1(11 ^ [])), m1_subset_1(14 ^ [], k1_zfmisc_1(12 ^ [])), m2_relset_1(15 ^ [], 11 ^ [], 12 ^ []), r1_tarski(k8_relset_2(12 ^ [], 11 ^ [], 14 ^ [], k6_relset_1(11 ^ [], 12 ^ [], 15 ^ [])), k8_relset_2(12 ^ [], 11 ^ [], 14 ^ [], k6_relset_1(11 ^ [], 12 ^ [], 15 ^ [])))],extension(16,bind([[_62045, _62215, _61852, _61949, _62376], [k8_relset_2(12 ^ [], 11 ^ [], 14 ^ [], k6_relset_1(11 ^ [], 12 ^ [], 15 ^ [])), 14 ^ [], 11 ^ [], 12 ^ [], 15 ^ []]]))).
% 1.19/1.42 cnf('1.2.1',plain,[-(m1_subset_1(k8_relset_2(12 ^ [], 11 ^ [], 14 ^ [], k6_relset_1(11 ^ [], 12 ^ [], 15 ^ [])), k1_zfmisc_1(11 ^ []))), m1_subset_1(14 ^ [], k1_zfmisc_1(12 ^ [])), m1_subset_1(k6_relset_1(11 ^ [], 12 ^ [], 15 ^ []), k1_zfmisc_1(k2_zfmisc_1(12 ^ [], 11 ^ [])))],extension(12,bind([[_60069, _60142, _59920, _59995], [14 ^ [], k6_relset_1(11 ^ [], 12 ^ [], 15 ^ []), 12 ^ [], 11 ^ []]]))).
% 1.19/1.42 cnf('1.2.1.1',plain,[-(m1_subset_1(14 ^ [], k1_zfmisc_1(12 ^ [])))],extension(2)).
% 1.19/1.42 cnf('1.2.1.2',plain,[-(m1_subset_1(k6_relset_1(11 ^ [], 12 ^ [], 15 ^ []), k1_zfmisc_1(k2_zfmisc_1(12 ^ [], 11 ^ [])))), m2_relset_1(k6_relset_1(11 ^ [], 12 ^ [], 15 ^ []), 12 ^ [], 11 ^ [])],extension(13,bind([[_60969, _60858, _60914], [k6_relset_1(11 ^ [], 12 ^ [], 15 ^ []), 12 ^ [], 11 ^ []]]))).
% 1.19/1.42 cnf('1.2.1.2.1',plain,[-(m2_relset_1(k6_relset_1(11 ^ [], 12 ^ [], 15 ^ []), 12 ^ [], 11 ^ [])), m1_relset_1(15 ^ [], 11 ^ [], 12 ^ [])],extension(11,bind([[_59481, _59370, _59426], [15 ^ [], 11 ^ [], 12 ^ []]]))).
% 1.19/1.42 cnf('1.2.1.2.1.1',plain,[-(m1_relset_1(15 ^ [], 11 ^ [], 12 ^ [])), m2_relset_1(15 ^ [], 11 ^ [], 12 ^ [])],extension(10,bind([[_58879, _58776, _58828], [15 ^ [], 11 ^ [], 12 ^ []]]))).
% 1.19/1.42 cnf('1.2.1.2.1.1.1',plain,[-(m2_relset_1(15 ^ [], 11 ^ [], 12 ^ []))],extension(3)).
% 1.19/1.42 cnf('1.2.2',plain,[-(m1_subset_1(14 ^ [], k1_zfmisc_1(12 ^ [])))],extension(2)).
% 1.19/1.42 cnf('1.2.3',plain,[-(m2_relset_1(15 ^ [], 11 ^ [], 12 ^ []))],extension(3)).
% 1.19/1.42 cnf('1.2.4',plain,[-(r1_tarski(k8_relset_2(12 ^ [], 11 ^ [], 14 ^ [], k6_relset_1(11 ^ [], 12 ^ [], 15 ^ [])), k8_relset_2(12 ^ [], 11 ^ [], 14 ^ [], k6_relset_1(11 ^ [], 12 ^ [], 15 ^ []))))],extension(9,bind([[_56553], [k8_relset_2(12 ^ [], 11 ^ [], 14 ^ [], k6_relset_1(11 ^ [], 12 ^ [], 15 ^ []))]]))).
% 1.19/1.42 %-----------------------------------------------------
% 1.19/1.43
% 1.19/1.43 % SZS output end Proof for /export/starexec/sandbox/benchmark/theBenchmark.p
%------------------------------------------------------------------------------