TSTP Solution File: CAT033+1 by leanCoP---2.2

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : leanCoP---2.2
% Problem  : CAT033+1 : TPTP v8.1.0. Released v3.4.0.
% 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 : Fri Jul 15 00:03:42 EDT 2022

% Result   : Theorem 46.95s 45.98s
% Output   : Proof 47.03s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12  % Problem  : CAT033+1 : TPTP v8.1.0. Released v3.4.0.
% 0.03/0.12  % Command  : leancop_casc.sh %s %d
% 0.12/0.33  % Computer : n026.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 May 30 00:02:39 EDT 2022
% 0.12/0.33  % CPUTime  : 
% 46.95/45.98  % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p
% 46.95/45.98  % SZS output start Proof for /export/starexec/sandbox/benchmark/theBenchmark.p
% 46.95/45.99  
% 46.95/45.99  %-----------------------------------------------------
% 46.95/45.99  fof(t2_yoneda_1, conjecture, ! [_93147] : (v2_cat_1(_93147) & l1_cat_1(_93147) => ! [_93169] : (m1_subset_1(_93169, u1_cat_1(_93147)) => m2_cat_1(k20_ens_1(_93147, _93169), _93147, k1_yoneda_1(_93147)))), file('/export/starexec/sandbox/benchmark/theBenchmark.p', t2_yoneda_1)).
% 46.95/45.99  fof(reflexivity_r1_tarski, axiom, ! [_93533, _93536] : r1_tarski(_93533, _93533), file('/export/starexec/sandbox/benchmark/theBenchmark.p', reflexivity_r1_tarski)).
% 46.95/45.99  fof(fc5_ens_1, axiom, ! [_93661] : (v2_cat_1(_93661) & l1_cat_1(_93661) => ~ v1_xboole_0(k17_ens_1(_93661))), file('/export/starexec/sandbox/benchmark/theBenchmark.p', fc5_ens_1)).
% 46.95/45.99  fof(d1_yoneda_1, axiom, ! [_93826] : (v2_cat_1(_93826) & l1_cat_1(_93826) => k1_yoneda_1(_93826) = k12_ens_1(k17_ens_1(_93826))), file('/export/starexec/sandbox/benchmark/theBenchmark.p', d1_yoneda_1)).
% 46.95/45.99  fof(t49_ens_1, axiom, ! [_93998] : (~ v1_xboole_0(_93998) => ! [_94015] : (v2_cat_1(_94015) & l1_cat_1(_94015) => ! [_94037] : (m1_subset_1(_94037, u1_cat_1(_94015)) => r1_tarski(k17_ens_1(_94015), _93998) => m2_cat_1(k20_ens_1(_94015, _94037), _94015, k12_ens_1(_93998))))), file('/export/starexec/sandbox/benchmark/theBenchmark.p', t49_ens_1)).
% 46.95/45.99  
% 46.95/45.99  cnf(1, plain, [-(v2_cat_1(22 ^ []))], clausify(t2_yoneda_1)).
% 46.95/45.99  cnf(2, plain, [-(l1_cat_1(22 ^ []))], clausify(t2_yoneda_1)).
% 46.95/45.99  cnf(3, plain, [-(m1_subset_1(23 ^ [], u1_cat_1(22 ^ [])))], clausify(t2_yoneda_1)).
% 46.95/45.99  cnf(4, plain, [m2_cat_1(k20_ens_1(22 ^ [], 23 ^ []), 22 ^ [], k1_yoneda_1(22 ^ []))], clausify(t2_yoneda_1)).
% 46.95/45.99  cnf(5, plain, [-(k20_ens_1(_40396, _40529) = k20_ens_1(_40463, _40594)), _40396 = _40463, _40529 = _40594], theory(equality)).
% 46.95/45.99  cnf(6, plain, [-(_27061 = _27061)], theory(equality)).
% 46.95/45.99  cnf(7, plain, [_27214 = _27259, -(_27259 = _27214)], theory(equality)).
% 46.95/45.99  cnf(8, plain, [-(m2_cat_1(_30032, _30199, _30362)), m2_cat_1(_29947, _30116, _30281), _29947 = _30032, _30116 = _30199, _30281 = _30362], theory(equality)).
% 46.95/45.99  cnf(9, plain, [-(r1_tarski(_60576, _60576))], clausify(reflexivity_r1_tarski)).
% 46.95/45.99  cnf(10, plain, [v1_xboole_0(k17_ens_1(_65484)), v2_cat_1(_65484), l1_cat_1(_65484)], clausify(fc5_ens_1)).
% 46.95/45.99  cnf(11, plain, [-(k1_yoneda_1(_67354) = k12_ens_1(k17_ens_1(_67354))), v2_cat_1(_67354), l1_cat_1(_67354)], clausify(d1_yoneda_1)).
% 46.95/45.99  cnf(12, plain, [-(v1_xboole_0(_67688)), l1_cat_1(_67825), v2_cat_1(_67825), m1_subset_1(_67991, u1_cat_1(_67825)), r1_tarski(k17_ens_1(_67825), _67688), -(m2_cat_1(k20_ens_1(_67825, _67991), _67825, k12_ens_1(_67688)))], clausify(t49_ens_1)).
% 46.95/45.99  
% 46.95/45.99  cnf('1',plain,[-(v2_cat_1(22 ^ []))],start(1)).
% 46.95/45.99  cnf('1.1',plain,[v2_cat_1(22 ^ []), -(k1_yoneda_1(22 ^ []) = k12_ens_1(k17_ens_1(22 ^ []))), l1_cat_1(22 ^ [])],extension(11,bind([[_67354], [22 ^ []]]))).
% 46.95/45.99  cnf('1.1.1',plain,[k1_yoneda_1(22 ^ []) = k12_ens_1(k17_ens_1(22 ^ [])), -(k12_ens_1(k17_ens_1(22 ^ [])) = k1_yoneda_1(22 ^ []))],extension(7,bind([[_27259, _27214], [k12_ens_1(k17_ens_1(22 ^ [])), k1_yoneda_1(22 ^ [])]]))).
% 46.95/45.99  cnf('1.1.1.1',plain,[k12_ens_1(k17_ens_1(22 ^ [])) = k1_yoneda_1(22 ^ []), -(m2_cat_1(k20_ens_1(22 ^ [], 23 ^ []), 22 ^ [], k1_yoneda_1(22 ^ []))), m2_cat_1(k20_ens_1(22 ^ [], 23 ^ []), 22 ^ [], k12_ens_1(k17_ens_1(22 ^ []))), k20_ens_1(22 ^ [], 23 ^ []) = k20_ens_1(22 ^ [], 23 ^ []), 22 ^ [] = 22 ^ []],extension(8,bind([[_30362, _30281, _29947, _30032, _30116, _30199], [k1_yoneda_1(22 ^ []), k12_ens_1(k17_ens_1(22 ^ [])), k20_ens_1(22 ^ [], 23 ^ []), k20_ens_1(22 ^ [], 23 ^ []), 22 ^ [], 22 ^ []]]))).
% 46.95/45.99  cnf('1.1.1.1.1',plain,[m2_cat_1(k20_ens_1(22 ^ [], 23 ^ []), 22 ^ [], k1_yoneda_1(22 ^ []))],extension(4)).
% 46.95/45.99  cnf('1.1.1.1.2',plain,[-(m2_cat_1(k20_ens_1(22 ^ [], 23 ^ []), 22 ^ [], k12_ens_1(k17_ens_1(22 ^ [])))), -(v1_xboole_0(k17_ens_1(22 ^ []))), l1_cat_1(22 ^ []), v2_cat_1(22 ^ []), m1_subset_1(23 ^ [], u1_cat_1(22 ^ [])), r1_tarski(k17_ens_1(22 ^ []), k17_ens_1(22 ^ []))],extension(12,bind([[_67991, _67825, _67688], [23 ^ [], 22 ^ [], k17_ens_1(22 ^ [])]]))).
% 46.95/45.99  cnf('1.1.1.1.2.1',plain,[v1_xboole_0(k17_ens_1(22 ^ [])), v2_cat_1(22 ^ []), l1_cat_1(22 ^ [])],extension(10,bind([[_65484], [22 ^ []]]))).
% 46.95/45.99  cnf('1.1.1.1.2.1.1',plain,[-(v2_cat_1(22 ^ []))],extension(1)).
% 46.95/45.99  cnf('1.1.1.1.2.1.2',plain,[-(l1_cat_1(22 ^ []))],extension(2)).
% 46.95/45.99  cnf('1.1.1.1.2.2',plain,[-(l1_cat_1(22 ^ []))],extension(2)).
% 46.95/45.99  cnf('1.1.1.1.2.3',plain,[-(v2_cat_1(22 ^ []))],extension(1)).
% 46.95/45.99  cnf('1.1.1.1.2.4',plain,[-(m1_subset_1(23 ^ [], u1_cat_1(22 ^ [])))],extension(3)).
% 46.95/45.99  cnf('1.1.1.1.2.5',plain,[-(r1_tarski(k17_ens_1(22 ^ []), k17_ens_1(22 ^ [])))],extension(9,bind([[_60576], [k17_ens_1(22 ^ [])]]))).
% 46.95/45.99  cnf('1.1.1.1.3',plain,[-(k20_ens_1(22 ^ [], 23 ^ []) = k20_ens_1(22 ^ [], 23 ^ [])), 22 ^ [] = 22 ^ [], 23 ^ [] = 23 ^ []],extension(5,bind([[_40396, _40463, _40529, _40594], [22 ^ [], 22 ^ [], 23 ^ [], 23 ^ []]]))).
% 46.95/45.99  cnf('1.1.1.1.3.1',plain,[-(22 ^ [] = 22 ^ [])],extension(6,bind([[_27061], [22 ^ []]]))).
% 46.95/45.99  cnf('1.1.1.1.3.2',plain,[-(23 ^ [] = 23 ^ [])],extension(6,bind([[_27061], [23 ^ []]]))).
% 46.95/45.99  cnf('1.1.1.1.4',plain,[-(22 ^ [] = 22 ^ [])],extension(6,bind([[_27061], [22 ^ []]]))).
% 46.95/45.99  cnf('1.1.2',plain,[-(l1_cat_1(22 ^ []))],extension(2)).
% 46.95/45.99  %-----------------------------------------------------
% 47.03/45.99  
% 47.03/45.99  % SZS output end Proof for /export/starexec/sandbox/benchmark/theBenchmark.p
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