TSTP Solution File: GEO331+1 by leanCoP---2.2

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : leanCoP---2.2
% Problem  : GEO331+1 : TPTP v8.1.0. Released v4.1.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : leancop_casc.sh %s %d

% Computer : n008.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 : Sat Jul 16 05:04:35 EDT 2022

% Result   : Theorem 123.11s 118.72s
% Output   : Proof 123.11s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.14  % Problem  : GEO331+1 : TPTP v8.1.0. Released v4.1.0.
% 0.07/0.14  % Command  : leancop_casc.sh %s %d
% 0.14/0.36  % Computer : n008.cluster.edu
% 0.14/0.36  % Model    : x86_64 x86_64
% 0.14/0.36  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.36  % Memory   : 8042.1875MB
% 0.14/0.36  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.14/0.36  % CPULimit : 300
% 0.14/0.36  % WCLimit  : 600
% 0.14/0.36  % DateTime : Sat Jun 18 16:00:07 EDT 2022
% 0.14/0.36  % CPUTime  : 
% 123.11/118.72  % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p
% 123.11/118.72  % SZS output start Proof for /export/starexec/sandbox/benchmark/theBenchmark.p
% 123.11/118.73  
% 123.11/118.73  %-----------------------------------------------------
% 123.11/118.73  fof('holds(384, 1360, 0)', conjecture, vf(vd1352, vd1353) = vf(vd1352, vd1354), file('/export/starexec/sandbox/benchmark/theBenchmark.p', 'holds(384, 1360, 0)')).
% 123.11/118.73  fof('holds(383, 1356, 0)', axiom, vangle(vd1352, vd1353, vd1354) = vangle(vd1352, vd1354, vd1353), file('/export/starexec/sandbox/benchmark/theBenchmark.p', 'holds(383, 1356, 0)')).
% 123.11/118.73  fof('pred(383, 9)', axiom, (! vd1353) = vd1354, file('/export/starexec/sandbox/benchmark/theBenchmark.p', 'pred(383, 9)')).
% 123.11/118.73  fof('pred(383, 8)', axiom, (! vd1352) = vd1354, file('/export/starexec/sandbox/benchmark/theBenchmark.p', 'pred(383, 8)')).
% 123.11/118.73  fof('pred(383, 7)', axiom, (! vd1352) = vd1353, file('/export/starexec/sandbox/benchmark/theBenchmark.p', 'pred(383, 7)')).
% 123.11/118.73  fof('qe(s3(plural(383)))', axiom, ? [_216167] : (vd1354 = _216167 & rpoint(_216167)), file('/export/starexec/sandbox/benchmark/theBenchmark.p', 'qe(s3(plural(383)))')).
% 123.11/118.73  fof('qe(s2(plural(383)))', axiom, ? [_216303] : (vd1353 = _216303 & rpoint(_216303)), file('/export/starexec/sandbox/benchmark/theBenchmark.p', 'qe(s2(plural(383)))')).
% 123.11/118.73  fof('qe(s1(plural(383)))', axiom, ? [_216439] : (vd1352 = _216439 & rpoint(_216439)), file('/export/starexec/sandbox/benchmark/theBenchmark.p', 'qe(s1(plural(383)))')).
% 123.11/118.73  fof('ass(cond(proof(385), 0), 0)', axiom, ! [_216575, _216578, _216581] : (vangle(_216575, _216578, _216581) = vangle(_216575, _216581, _216578) & (! _216578) = _216581 & (! _216575) = _216581 & (! _216575) = _216578 & ? [_216639] : (_216581 = _216639 & rpoint(_216639)) & ? [_216660] : (_216578 = _216660 & rpoint(_216660)) & ? [_216681] : (_216575 = _216681 & rpoint(_216681)) => (! vf(_216575, _216578)) = vf(_216575, _216581) => rless(vf(_216575, _216578), vf(_216575, _216581)) | rless(vf(_216575, _216581), vf(_216575, _216578))), file('/export/starexec/sandbox/benchmark/theBenchmark.p', 'ass(cond(proof(385), 0), 0)')).
% 123.11/118.73  fof('ass(cond(proof(385), 0), 1)', axiom, ! [_217247, _217250, _217253] : (vangle(_217247, _217250, _217253) = vangle(_217247, _217253, _217250) & (! _217250) = _217253 & (! _217247) = _217253 & (! _217247) = _217250 & ? [_217311] : (_217253 = _217311 & rpoint(_217311)) & ? [_217332] : (_217250 = _217332 & rpoint(_217332)) & ? [_217353] : (_217247 = _217353 & rpoint(_217353)) => (! vf(_217247, _217250)) = vf(_217247, _217253) => ~ rless(vf(_217247, _217250), vf(_217247, _217253))), file('/export/starexec/sandbox/benchmark/theBenchmark.p', 'ass(cond(proof(385), 0), 1)')).
% 123.11/118.73  fof('ass(cond(proof(385), 0), 2)', axiom, ! [_217866, _217869, _217872] : (vangle(_217866, _217869, _217872) = vangle(_217866, _217872, _217869) & (! _217869) = _217872 & (! _217866) = _217872 & (! _217866) = _217869 & ? [_217930] : (_217872 = _217930 & rpoint(_217930)) & ? [_217951] : (_217869 = _217951 & rpoint(_217951)) & ? [_217972] : (_217866 = _217972 & rpoint(_217972)) => (! vf(_217866, _217869)) = vf(_217866, _217872) => ~ rless(vf(_217866, _217872), vf(_217866, _217869))), file('/export/starexec/sandbox/benchmark/theBenchmark.p', 'ass(cond(proof(385), 0), 2)')).
% 123.11/118.73  
% 123.11/118.73  cnf(1, plain, [vf(vd1352, vd1353) = vf(vd1352, vd1354)], clausify('holds(384, 1360, 0)')).
% 123.11/118.73  cnf(2, plain, [-(vangle(vd1352, vd1353, vd1354) = vangle(vd1352, vd1354, vd1353))], clausify('holds(383, 1356, 0)')).
% 123.11/118.73  cnf(3, plain, [vd1353 = vd1354], clausify('pred(383, 9)')).
% 123.11/118.73  cnf(4, plain, [vd1352 = vd1354], clausify('pred(383, 8)')).
% 123.11/118.73  cnf(5, plain, [vd1352 = vd1353], clausify('pred(383, 7)')).
% 123.11/118.73  cnf(6, plain, [-(vd1354 = 1 ^ [])], clausify('qe(s3(plural(383)))')).
% 123.11/118.73  cnf(7, plain, [-(rpoint(1 ^ []))], clausify('qe(s3(plural(383)))')).
% 123.11/118.73  cnf(8, plain, [-(vd1353 = 2 ^ [])], clausify('qe(s2(plural(383)))')).
% 123.11/118.73  cnf(9, plain, [-(rpoint(2 ^ []))], clausify('qe(s2(plural(383)))')).
% 123.11/118.73  cnf(10, plain, [-(vd1352 = 3 ^ [])], clausify('qe(s1(plural(383)))')).
% 123.11/118.73  cnf(11, plain, [-(rpoint(3 ^ []))], clausify('qe(s1(plural(383)))')).
% 123.11/118.73  cnf(12, plain, [-(rless(vf(_17037, _17039), vf(_17037, _17038))), -(rless(vf(_17037, _17038), vf(_17037, _17039))), -(vf(_17037, _17038) = vf(_17037, _17039)), vangle(_17037, _17038, _17039) = vangle(_17037, _17039, _17038), -(_17038 = _17039), -(_17037 = _17039), -(_17037 = _17038), rpoint(_17060), _17039 = _17060, rpoint(_17066), _17038 = _17066, _17037 = _17072, rpoint(_17072)], clausify('ass(cond(proof(385), 0), 0)')).
% 123.11/118.73  cnf(13, plain, [rless(vf(_17108, _17109), vf(_17108, _17110)), -(vf(_17108, _17109) = vf(_17108, _17110)), vangle(_17108, _17109, _17110) = vangle(_17108, _17110, _17109), -(_17109 = _17110), -(_17108 = _17110), -(_17108 = _17109), rpoint(_17131), _17110 = _17131, rpoint(_17137), _17109 = _17137, _17108 = _17143, rpoint(_17143)], clausify('ass(cond(proof(385), 0), 1)')).
% 123.11/118.73  cnf(14, plain, [rless(vf(_17170, _17172), vf(_17170, _17171)), -(vf(_17170, _17171) = vf(_17170, _17172)), vangle(_17170, _17171, _17172) = vangle(_17170, _17172, _17171), -(_17171 = _17172), -(_17170 = _17172), -(_17170 = _17171), rpoint(_17193), _17172 = _17193, rpoint(_17199), _17171 = _17199, _17170 = _17205, rpoint(_17205)], clausify('ass(cond(proof(385), 0), 2)')).
% 123.11/118.73  
% 123.11/118.73  cnf('1',plain,[vf(vd1352, vd1353) = vf(vd1352, vd1354)],start(1)).
% 123.11/118.73  cnf('1.1',plain,[-(vf(vd1352, vd1353) = vf(vd1352, vd1354)), -(rless(vf(vd1352, vd1354), vf(vd1352, vd1353))), -(rless(vf(vd1352, vd1353), vf(vd1352, vd1354))), vangle(vd1352, vd1353, vd1354) = vangle(vd1352, vd1354, vd1353), -(vd1353 = vd1354), -(vd1352 = vd1354), -(vd1352 = vd1353), rpoint(1 ^ []), vd1354 = 1 ^ [], rpoint(2 ^ []), vd1353 = 2 ^ [], vd1352 = 3 ^ [], rpoint(3 ^ [])],extension(12,bind([[_17039, _17060, _17038, _17066, _17037, _17072], [vd1354, 1 ^ [], vd1353, 2 ^ [], vd1352, 3 ^ []]]))).
% 123.11/118.73  cnf('1.1.1',plain,[rless(vf(vd1352, vd1354), vf(vd1352, vd1353)), -(vf(vd1352, vd1353) = vf(vd1352, vd1354)), vangle(vd1352, vd1353, vd1354) = vangle(vd1352, vd1354, vd1353), -(vd1353 = vd1354), -(vd1352 = vd1354), -(vd1352 = vd1353), rpoint(1 ^ []), vd1354 = 1 ^ [], rpoint(2 ^ []), vd1353 = 2 ^ [], vd1352 = 3 ^ [], rpoint(3 ^ [])],extension(14,bind([[_17172, _17193, _17171, _17199, _17170, _17205], [vd1354, 1 ^ [], vd1353, 2 ^ [], vd1352, 3 ^ []]]))).
% 123.11/118.73  cnf('1.1.1.1',plain,[vf(vd1352, vd1353) = vf(vd1352, vd1354)],extension(1)).
% 123.11/118.73  cnf('1.1.1.2',plain,[-(vangle(vd1352, vd1353, vd1354) = vangle(vd1352, vd1354, vd1353))],extension(2)).
% 123.11/118.73  cnf('1.1.1.3',plain,[vd1353 = vd1354],extension(3)).
% 123.11/118.73  cnf('1.1.1.4',plain,[vd1352 = vd1354],extension(4)).
% 123.11/118.73  cnf('1.1.1.5',plain,[vd1352 = vd1353],extension(5)).
% 123.11/118.73  cnf('1.1.1.6',plain,[-(rpoint(1 ^ []))],extension(7)).
% 123.11/118.73  cnf('1.1.1.7',plain,[-(vd1354 = 1 ^ [])],extension(6)).
% 123.11/118.73  cnf('1.1.1.8',plain,[-(rpoint(2 ^ []))],extension(9)).
% 123.11/118.73  cnf('1.1.1.9',plain,[-(vd1353 = 2 ^ [])],extension(8)).
% 123.11/118.73  cnf('1.1.1.10',plain,[-(vd1352 = 3 ^ [])],extension(10)).
% 123.11/118.73  cnf('1.1.1.11',plain,[-(rpoint(3 ^ []))],extension(11)).
% 123.11/118.73  cnf('1.1.2',plain,[rless(vf(vd1352, vd1353), vf(vd1352, vd1354)), -(vf(vd1352, vd1353) = vf(vd1352, vd1354)), vangle(vd1352, vd1353, vd1354) = vangle(vd1352, vd1354, vd1353), -(vd1353 = vd1354), -(vd1352 = vd1354), -(vd1352 = vd1353), rpoint(1 ^ []), vd1354 = 1 ^ [], rpoint(2 ^ []), vd1353 = 2 ^ [], vd1352 = 3 ^ [], rpoint(3 ^ [])],extension(13,bind([[_17110, _17131, _17109, _17137, _17108, _17143], [vd1354, 1 ^ [], vd1353, 2 ^ [], vd1352, 3 ^ []]]))).
% 123.11/118.73  cnf('1.1.2.1',plain,[vf(vd1352, vd1353) = vf(vd1352, vd1354)],extension(1)).
% 123.11/118.73  cnf('1.1.2.2',plain,[-(vangle(vd1352, vd1353, vd1354) = vangle(vd1352, vd1354, vd1353))],extension(2)).
% 123.11/118.73  cnf('1.1.2.3',plain,[vd1353 = vd1354],extension(3)).
% 123.11/118.73  cnf('1.1.2.4',plain,[vd1352 = vd1354],extension(4)).
% 123.11/118.73  cnf('1.1.2.5',plain,[vd1352 = vd1353],extension(5)).
% 123.11/118.73  cnf('1.1.2.6',plain,[-(rpoint(1 ^ []))],extension(7)).
% 123.11/118.73  cnf('1.1.2.7',plain,[-(vd1354 = 1 ^ [])],extension(6)).
% 123.11/118.73  cnf('1.1.2.8',plain,[-(rpoint(2 ^ []))],extension(9)).
% 123.11/118.73  cnf('1.1.2.9',plain,[-(vd1353 = 2 ^ [])],extension(8)).
% 123.11/118.73  cnf('1.1.2.10',plain,[-(vd1352 = 3 ^ [])],extension(10)).
% 123.11/118.73  cnf('1.1.2.11',plain,[-(rpoint(3 ^ []))],extension(11)).
% 123.11/118.73  cnf('1.1.3',plain,[-(vangle(vd1352, vd1353, vd1354) = vangle(vd1352, vd1354, vd1353))],extension(2)).
% 123.11/118.73  cnf('1.1.4',plain,[vd1353 = vd1354],extension(3)).
% 123.11/118.73  cnf('1.1.5',plain,[vd1352 = vd1354],extension(4)).
% 123.11/118.73  cnf('1.1.6',plain,[vd1352 = vd1353],extension(5)).
% 123.11/118.73  cnf('1.1.7',plain,[-(rpoint(1 ^ []))],extension(7)).
% 123.11/118.73  cnf('1.1.8',plain,[-(vd1354 = 1 ^ [])],extension(6)).
% 123.11/118.73  cnf('1.1.9',plain,[-(rpoint(2 ^ []))],extension(9)).
% 123.11/118.73  cnf('1.1.10',plain,[-(vd1353 = 2 ^ [])],extension(8)).
% 123.11/118.73  cnf('1.1.11',plain,[-(vd1352 = 3 ^ [])],extension(10)).
% 123.11/118.73  cnf('1.1.12',plain,[-(rpoint(3 ^ []))],extension(11)).
% 123.11/118.73  %-----------------------------------------------------
% 123.11/118.73  
% 123.11/118.74  % SZS output end Proof for /export/starexec/sandbox/benchmark/theBenchmark.p
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