TSTP Solution File: CAT025+1 by leanCoP---2.2

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : leanCoP---2.2
% Problem  : CAT025+1 : TPTP v8.1.0. Released v3.4.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : leancop_casc.sh %s %d

% Computer : n027.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 00:03:40 EDT 2022

% Result   : Theorem 0.49s 1.40s
% Output   : Proof 0.58s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.11  % Problem  : CAT025+1 : TPTP v8.1.0. Released v3.4.0.
% 0.07/0.12  % Command  : leancop_casc.sh %s %d
% 0.12/0.33  % Computer : n027.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 : Sun May 29 22:50:00 EDT 2022
% 0.12/0.33  % CPUTime  : 
% 0.49/1.40  % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.49/1.41  % SZS output start Proof for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.49/1.41  
% 0.49/1.41  %-----------------------------------------------------
% 0.49/1.41  fof(t34_isocat_2, conjecture, ! [_112377] : (v2_cat_1(_112377) & l1_cat_1(_112377) => ! [_112399] : (v2_cat_1(_112399) & l1_cat_1(_112399) => ! [_112421] : (v2_cat_1(_112421) & l1_cat_1(_112421) => r1_isocat_1(k12_nattra_1(k11_cat_2(_112377, _112399), _112421), k12_nattra_1(_112377, k12_nattra_1(_112399, _112421)))))), file('/export/starexec/sandbox/benchmark/theBenchmark.p', t34_isocat_2)).
% 0.49/1.41  fof(d4_isocat_1, axiom, ! [_112835] : (v2_cat_1(_112835) & l1_cat_1(_112835) => ! [_112857] : (v2_cat_1(_112857) & l1_cat_1(_112857) => (r1_isocat_1(_112835, _112857) <=> ? [_112889] : (m2_cat_1(_112889, _112835, _112857) & v8_cat_1(_112889, _112835, _112857))))), file('/export/starexec/sandbox/benchmark/theBenchmark.p', d4_isocat_1)).
% 0.49/1.41  fof(dt_k11_cat_2, axiom, ! [_113158, _113161] : (v2_cat_1(_113158) & l1_cat_1(_113158) & v2_cat_1(_113161) & l1_cat_1(_113161) => v2_cat_1(k11_cat_2(_113158, _113161)) & l1_cat_1(k11_cat_2(_113158, _113161))), file('/export/starexec/sandbox/benchmark/theBenchmark.p', dt_k11_cat_2)).
% 0.49/1.41  fof(dt_k12_nattra_1, axiom, ! [_113419, _113422] : (v2_cat_1(_113419) & l1_cat_1(_113419) & v2_cat_1(_113422) & l1_cat_1(_113422) => v1_cat_1(k12_nattra_1(_113419, _113422)) & v2_cat_1(k12_nattra_1(_113419, _113422)) & l1_cat_1(k12_nattra_1(_113419, _113422))), file('/export/starexec/sandbox/benchmark/theBenchmark.p', dt_k12_nattra_1)).
% 0.49/1.41  fof(dt_k7_isocat_2, axiom, ! [_113716, _113719, _113722] : (v2_cat_1(_113716) & l1_cat_1(_113716) & v2_cat_1(_113719) & l1_cat_1(_113719) & v2_cat_1(_113722) & l1_cat_1(_113722) => m2_cat_1(k7_isocat_2(_113716, _113719, _113722), k12_nattra_1(k11_cat_2(_113716, _113719), _113722), k12_nattra_1(_113716, k12_nattra_1(_113719, _113722)))), file('/export/starexec/sandbox/benchmark/theBenchmark.p', dt_k7_isocat_2)).
% 0.49/1.41  fof(t33_isocat_2, axiom, ! [_114109] : (v2_cat_1(_114109) & l1_cat_1(_114109) => ! [_114131] : (v2_cat_1(_114131) & l1_cat_1(_114131) => ! [_114153] : (v2_cat_1(_114153) & l1_cat_1(_114153) => v8_cat_1(k7_isocat_2(_114109, _114131, _114153), k12_nattra_1(k11_cat_2(_114109, _114131), _114153), k12_nattra_1(_114109, k12_nattra_1(_114131, _114153)))))), file('/export/starexec/sandbox/benchmark/theBenchmark.p', t33_isocat_2)).
% 0.49/1.41  
% 0.49/1.41  cnf(1, plain, [-(v2_cat_1(11 ^ []))], clausify(t34_isocat_2)).
% 0.49/1.41  cnf(2, plain, [-(l1_cat_1(11 ^ []))], clausify(t34_isocat_2)).
% 0.49/1.41  cnf(3, plain, [-(v2_cat_1(12 ^ []))], clausify(t34_isocat_2)).
% 0.49/1.41  cnf(4, plain, [-(l1_cat_1(12 ^ []))], clausify(t34_isocat_2)).
% 0.49/1.41  cnf(5, plain, [-(v2_cat_1(13 ^ []))], clausify(t34_isocat_2)).
% 0.49/1.41  cnf(6, plain, [-(l1_cat_1(13 ^ []))], clausify(t34_isocat_2)).
% 0.49/1.41  cnf(7, plain, [r1_isocat_1(k12_nattra_1(k11_cat_2(11 ^ [], 12 ^ []), 13 ^ []), k12_nattra_1(11 ^ [], k12_nattra_1(12 ^ [], 13 ^ [])))], clausify(t34_isocat_2)).
% 0.49/1.41  cnf(8, plain, [l1_cat_1(_47831), v2_cat_1(_47831), l1_cat_1(_48000), v2_cat_1(_48000), -(r1_isocat_1(_47831, _48000)), m2_cat_1(_48218, _47831, _48000), v8_cat_1(_48218, _47831, _48000)], clausify(d4_isocat_1)).
% 0.49/1.41  cnf(9, plain, [-(v2_cat_1(k11_cat_2(_51370, _51439))), v2_cat_1(_51370), l1_cat_1(_51370), v2_cat_1(_51439), l1_cat_1(_51439)], clausify(dt_k11_cat_2)).
% 0.49/1.41  cnf(10, plain, [-(l1_cat_1(k11_cat_2(_51370, _51439))), v2_cat_1(_51370), l1_cat_1(_51370), v2_cat_1(_51439), l1_cat_1(_51439)], clausify(dt_k11_cat_2)).
% 0.49/1.41  cnf(11, plain, [-(v2_cat_1(k12_nattra_1(_51972, _52049))), v2_cat_1(_51972), l1_cat_1(_51972), v2_cat_1(_52049), l1_cat_1(_52049)], clausify(dt_k12_nattra_1)).
% 0.49/1.41  cnf(12, plain, [-(l1_cat_1(k12_nattra_1(_51972, _52049))), v2_cat_1(_51972), l1_cat_1(_51972), v2_cat_1(_52049), l1_cat_1(_52049)], clausify(dt_k12_nattra_1)).
% 0.49/1.41  cnf(13, plain, [-(m2_cat_1(k7_isocat_2(_53079, _53170, _53260), k12_nattra_1(k11_cat_2(_53079, _53170), _53260), k12_nattra_1(_53079, k12_nattra_1(_53170, _53260)))), v2_cat_1(_53079), l1_cat_1(_53079), v2_cat_1(_53170), l1_cat_1(_53170), v2_cat_1(_53260), l1_cat_1(_53260)], clausify(dt_k7_isocat_2)).
% 0.49/1.41  cnf(14, plain, [l1_cat_1(_68803), v2_cat_1(_68803), l1_cat_1(_68985), v2_cat_1(_68985), -(v8_cat_1(k7_isocat_2(_68803, _68985, _69156), k12_nattra_1(k11_cat_2(_68803, _68985), _69156), k12_nattra_1(_68803, k12_nattra_1(_68985, _69156)))), v2_cat_1(_69156), l1_cat_1(_69156)], clausify(t33_isocat_2)).
% 0.49/1.41  
% 0.49/1.41  cnf('1',plain,[r1_isocat_1(k12_nattra_1(k11_cat_2(11 ^ [], 12 ^ []), 13 ^ []), k12_nattra_1(11 ^ [], k12_nattra_1(12 ^ [], 13 ^ [])))],start(7)).
% 0.49/1.41  cnf('1.1',plain,[-(r1_isocat_1(k12_nattra_1(k11_cat_2(11 ^ [], 12 ^ []), 13 ^ []), k12_nattra_1(11 ^ [], k12_nattra_1(12 ^ [], 13 ^ [])))), l1_cat_1(k12_nattra_1(k11_cat_2(11 ^ [], 12 ^ []), 13 ^ [])), v2_cat_1(k12_nattra_1(k11_cat_2(11 ^ [], 12 ^ []), 13 ^ [])), l1_cat_1(k12_nattra_1(11 ^ [], k12_nattra_1(12 ^ [], 13 ^ []))), v2_cat_1(k12_nattra_1(11 ^ [], k12_nattra_1(12 ^ [], 13 ^ []))), m2_cat_1(k7_isocat_2(11 ^ [], 12 ^ [], 13 ^ []), k12_nattra_1(k11_cat_2(11 ^ [], 12 ^ []), 13 ^ []), k12_nattra_1(11 ^ [], k12_nattra_1(12 ^ [], 13 ^ []))), v8_cat_1(k7_isocat_2(11 ^ [], 12 ^ [], 13 ^ []), k12_nattra_1(k11_cat_2(11 ^ [], 12 ^ []), 13 ^ []), k12_nattra_1(11 ^ [], k12_nattra_1(12 ^ [], 13 ^ [])))],extension(8,bind([[_48218, _47831, _48000], [k7_isocat_2(11 ^ [], 12 ^ [], 13 ^ []), k12_nattra_1(k11_cat_2(11 ^ [], 12 ^ []), 13 ^ []), k12_nattra_1(11 ^ [], k12_nattra_1(12 ^ [], 13 ^ []))]]))).
% 0.49/1.41  cnf('1.1.1',plain,[-(l1_cat_1(k12_nattra_1(k11_cat_2(11 ^ [], 12 ^ []), 13 ^ []))), v2_cat_1(k11_cat_2(11 ^ [], 12 ^ [])), l1_cat_1(k11_cat_2(11 ^ [], 12 ^ [])), v2_cat_1(13 ^ []), l1_cat_1(13 ^ [])],extension(12,bind([[_51972, _52049], [k11_cat_2(11 ^ [], 12 ^ []), 13 ^ []]]))).
% 0.49/1.41  cnf('1.1.1.1',plain,[-(v2_cat_1(k11_cat_2(11 ^ [], 12 ^ []))), v2_cat_1(11 ^ []), l1_cat_1(11 ^ []), v2_cat_1(12 ^ []), l1_cat_1(12 ^ [])],extension(9,bind([[_51370, _51439], [11 ^ [], 12 ^ []]]))).
% 0.49/1.41  cnf('1.1.1.1.1',plain,[-(v2_cat_1(11 ^ []))],extension(1)).
% 0.49/1.41  cnf('1.1.1.1.2',plain,[-(l1_cat_1(11 ^ []))],extension(2)).
% 0.49/1.41  cnf('1.1.1.1.3',plain,[-(v2_cat_1(12 ^ []))],extension(3)).
% 0.49/1.41  cnf('1.1.1.1.4',plain,[-(l1_cat_1(12 ^ []))],extension(4)).
% 0.49/1.41  cnf('1.1.1.2',plain,[-(l1_cat_1(k11_cat_2(11 ^ [], 12 ^ []))), v2_cat_1(11 ^ []), l1_cat_1(11 ^ []), v2_cat_1(12 ^ []), l1_cat_1(12 ^ [])],extension(10,bind([[_51370, _51439], [11 ^ [], 12 ^ []]]))).
% 0.49/1.41  cnf('1.1.1.2.1',plain,[-(v2_cat_1(11 ^ []))],extension(1)).
% 0.49/1.41  cnf('1.1.1.2.2',plain,[-(l1_cat_1(11 ^ []))],extension(2)).
% 0.49/1.41  cnf('1.1.1.2.3',plain,[-(v2_cat_1(12 ^ []))],extension(3)).
% 0.49/1.41  cnf('1.1.1.2.4',plain,[-(l1_cat_1(12 ^ []))],extension(4)).
% 0.49/1.41  cnf('1.1.1.3',plain,[-(v2_cat_1(13 ^ []))],extension(5)).
% 0.49/1.41  cnf('1.1.1.4',plain,[-(l1_cat_1(13 ^ []))],extension(6)).
% 0.49/1.41  cnf('1.1.2',plain,[-(v2_cat_1(k12_nattra_1(k11_cat_2(11 ^ [], 12 ^ []), 13 ^ []))), v2_cat_1(k11_cat_2(11 ^ [], 12 ^ [])), l1_cat_1(k11_cat_2(11 ^ [], 12 ^ [])), v2_cat_1(13 ^ []), l1_cat_1(13 ^ [])],extension(11,bind([[_51972, _52049], [k11_cat_2(11 ^ [], 12 ^ []), 13 ^ []]]))).
% 0.49/1.41  cnf('1.1.2.1',plain,[-(v2_cat_1(k11_cat_2(11 ^ [], 12 ^ []))), v2_cat_1(11 ^ []), l1_cat_1(11 ^ []), v2_cat_1(12 ^ []), l1_cat_1(12 ^ [])],extension(9,bind([[_51370, _51439], [11 ^ [], 12 ^ []]]))).
% 0.49/1.41  cnf('1.1.2.1.1',plain,[-(v2_cat_1(11 ^ []))],extension(1)).
% 0.49/1.41  cnf('1.1.2.1.2',plain,[-(l1_cat_1(11 ^ []))],extension(2)).
% 0.49/1.41  cnf('1.1.2.1.3',plain,[-(v2_cat_1(12 ^ []))],extension(3)).
% 0.49/1.41  cnf('1.1.2.1.4',plain,[-(l1_cat_1(12 ^ []))],extension(4)).
% 0.49/1.41  cnf('1.1.2.2',plain,[-(l1_cat_1(k11_cat_2(11 ^ [], 12 ^ []))), v2_cat_1(11 ^ []), l1_cat_1(11 ^ []), v2_cat_1(12 ^ []), l1_cat_1(12 ^ [])],extension(10,bind([[_51370, _51439], [11 ^ [], 12 ^ []]]))).
% 0.49/1.41  cnf('1.1.2.2.1',plain,[-(v2_cat_1(11 ^ []))],extension(1)).
% 0.49/1.41  cnf('1.1.2.2.2',plain,[-(l1_cat_1(11 ^ []))],extension(2)).
% 0.49/1.41  cnf('1.1.2.2.3',plain,[-(v2_cat_1(12 ^ []))],extension(3)).
% 0.49/1.41  cnf('1.1.2.2.4',plain,[-(l1_cat_1(12 ^ []))],extension(4)).
% 0.49/1.41  cnf('1.1.2.3',plain,[-(v2_cat_1(13 ^ []))],extension(5)).
% 0.49/1.41  cnf('1.1.2.4',plain,[-(l1_cat_1(13 ^ []))],extension(6)).
% 0.49/1.41  cnf('1.1.3',plain,[-(l1_cat_1(k12_nattra_1(11 ^ [], k12_nattra_1(12 ^ [], 13 ^ [])))), v2_cat_1(11 ^ []), l1_cat_1(11 ^ []), v2_cat_1(k12_nattra_1(12 ^ [], 13 ^ [])), l1_cat_1(k12_nattra_1(12 ^ [], 13 ^ []))],extension(12,bind([[_51972, _52049], [11 ^ [], k12_nattra_1(12 ^ [], 13 ^ [])]]))).
% 0.49/1.41  cnf('1.1.3.1',plain,[-(v2_cat_1(11 ^ []))],extension(1)).
% 0.49/1.41  cnf('1.1.3.2',plain,[-(l1_cat_1(11 ^ []))],extension(2)).
% 0.49/1.41  cnf('1.1.3.3',plain,[-(v2_cat_1(k12_nattra_1(12 ^ [], 13 ^ []))), v2_cat_1(12 ^ []), l1_cat_1(12 ^ []), v2_cat_1(13 ^ []), l1_cat_1(13 ^ [])],extension(11,bind([[_51972, _52049], [12 ^ [], 13 ^ []]]))).
% 0.49/1.41  cnf('1.1.3.3.1',plain,[-(v2_cat_1(12 ^ []))],extension(3)).
% 0.49/1.41  cnf('1.1.3.3.2',plain,[-(l1_cat_1(12 ^ []))],extension(4)).
% 0.49/1.41  cnf('1.1.3.3.3',plain,[-(v2_cat_1(13 ^ []))],extension(5)).
% 0.49/1.41  cnf('1.1.3.3.4',plain,[-(l1_cat_1(13 ^ []))],extension(6)).
% 0.49/1.41  cnf('1.1.3.4',plain,[-(l1_cat_1(k12_nattra_1(12 ^ [], 13 ^ []))), v2_cat_1(12 ^ []), l1_cat_1(12 ^ []), v2_cat_1(13 ^ []), l1_cat_1(13 ^ [])],extension(12,bind([[_51972, _52049], [12 ^ [], 13 ^ []]]))).
% 0.49/1.41  cnf('1.1.3.4.1',plain,[-(v2_cat_1(12 ^ []))],extension(3)).
% 0.49/1.41  cnf('1.1.3.4.2',plain,[-(l1_cat_1(12 ^ []))],extension(4)).
% 0.49/1.41  cnf('1.1.3.4.3',plain,[-(v2_cat_1(13 ^ []))],extension(5)).
% 0.49/1.41  cnf('1.1.3.4.4',plain,[-(l1_cat_1(13 ^ []))],extension(6)).
% 0.49/1.41  cnf('1.1.4',plain,[-(v2_cat_1(k12_nattra_1(11 ^ [], k12_nattra_1(12 ^ [], 13 ^ [])))), v2_cat_1(11 ^ []), l1_cat_1(11 ^ []), v2_cat_1(k12_nattra_1(12 ^ [], 13 ^ [])), l1_cat_1(k12_nattra_1(12 ^ [], 13 ^ []))],extension(11,bind([[_51972, _52049], [11 ^ [], k12_nattra_1(12 ^ [], 13 ^ [])]]))).
% 0.49/1.41  cnf('1.1.4.1',plain,[-(v2_cat_1(11 ^ []))],extension(1)).
% 0.49/1.41  cnf('1.1.4.2',plain,[-(l1_cat_1(11 ^ []))],extension(2)).
% 0.49/1.41  cnf('1.1.4.3',plain,[-(v2_cat_1(k12_nattra_1(12 ^ [], 13 ^ []))), v2_cat_1(12 ^ []), l1_cat_1(12 ^ []), v2_cat_1(13 ^ []), l1_cat_1(13 ^ [])],extension(11,bind([[_51972, _52049], [12 ^ [], 13 ^ []]]))).
% 0.49/1.41  cnf('1.1.4.3.1',plain,[-(v2_cat_1(12 ^ []))],extension(3)).
% 0.49/1.41  cnf('1.1.4.3.2',plain,[-(l1_cat_1(12 ^ []))],extension(4)).
% 0.49/1.41  cnf('1.1.4.3.3',plain,[-(v2_cat_1(13 ^ []))],extension(5)).
% 0.49/1.41  cnf('1.1.4.3.4',plain,[-(l1_cat_1(13 ^ []))],extension(6)).
% 0.49/1.41  cnf('1.1.4.4',plain,[-(l1_cat_1(k12_nattra_1(12 ^ [], 13 ^ []))), v2_cat_1(12 ^ []), l1_cat_1(12 ^ []), v2_cat_1(13 ^ []), l1_cat_1(13 ^ [])],extension(12,bind([[_51972, _52049], [12 ^ [], 13 ^ []]]))).
% 0.49/1.41  cnf('1.1.4.4.1',plain,[-(v2_cat_1(12 ^ []))],extension(3)).
% 0.49/1.41  cnf('1.1.4.4.2',plain,[-(l1_cat_1(12 ^ []))],extension(4)).
% 0.49/1.41  cnf('1.1.4.4.3',plain,[-(v2_cat_1(13 ^ []))],extension(5)).
% 0.49/1.41  cnf('1.1.4.4.4',plain,[-(l1_cat_1(13 ^ []))],extension(6)).
% 0.49/1.41  cnf('1.1.5',plain,[-(m2_cat_1(k7_isocat_2(11 ^ [], 12 ^ [], 13 ^ []), k12_nattra_1(k11_cat_2(11 ^ [], 12 ^ []), 13 ^ []), k12_nattra_1(11 ^ [], k12_nattra_1(12 ^ [], 13 ^ [])))), v2_cat_1(11 ^ []), l1_cat_1(11 ^ []), v2_cat_1(12 ^ []), l1_cat_1(12 ^ []), v2_cat_1(13 ^ []), l1_cat_1(13 ^ [])],extension(13,bind([[_53079, _53170, _53260], [11 ^ [], 12 ^ [], 13 ^ []]]))).
% 0.49/1.41  cnf('1.1.5.1',plain,[-(v2_cat_1(11 ^ []))],extension(1)).
% 0.49/1.41  cnf('1.1.5.2',plain,[-(l1_cat_1(11 ^ []))],extension(2)).
% 0.49/1.41  cnf('1.1.5.3',plain,[-(v2_cat_1(12 ^ []))],extension(3)).
% 0.49/1.41  cnf('1.1.5.4',plain,[-(l1_cat_1(12 ^ []))],extension(4)).
% 0.49/1.41  cnf('1.1.5.5',plain,[-(v2_cat_1(13 ^ []))],extension(5)).
% 0.49/1.41  cnf('1.1.5.6',plain,[-(l1_cat_1(13 ^ []))],extension(6)).
% 0.49/1.41  cnf('1.1.6',plain,[-(v8_cat_1(k7_isocat_2(11 ^ [], 12 ^ [], 13 ^ []), k12_nattra_1(k11_cat_2(11 ^ [], 12 ^ []), 13 ^ []), k12_nattra_1(11 ^ [], k12_nattra_1(12 ^ [], 13 ^ [])))), l1_cat_1(11 ^ []), v2_cat_1(11 ^ []), l1_cat_1(12 ^ []), v2_cat_1(12 ^ []), v2_cat_1(13 ^ []), l1_cat_1(13 ^ [])],extension(14,bind([[_68803, _68985, _69156], [11 ^ [], 12 ^ [], 13 ^ []]]))).
% 0.49/1.41  cnf('1.1.6.1',plain,[-(l1_cat_1(11 ^ []))],extension(2)).
% 0.49/1.41  cnf('1.1.6.2',plain,[-(v2_cat_1(11 ^ []))],extension(1)).
% 0.49/1.41  cnf('1.1.6.3',plain,[-(l1_cat_1(12 ^ []))],extension(4)).
% 0.49/1.41  cnf('1.1.6.4',plain,[-(v2_cat_1(12 ^ []))],extension(3)).
% 0.49/1.41  cnf('1.1.6.5',plain,[-(v2_cat_1(13 ^ []))],extension(5)).
% 0.49/1.41  cnf('1.1.6.6',plain,[-(l1_cat_1(13 ^ []))],extension(6)).
% 0.49/1.41  %-----------------------------------------------------
% 0.58/1.42  
% 0.58/1.42  % SZS output end Proof for /export/starexec/sandbox/benchmark/theBenchmark.p
%------------------------------------------------------------------------------