TSTP Solution File: GEO307+1 by leanCoP---2.2
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : leanCoP---2.2
% Problem : GEO307+1 : TPTP v8.1.0. Released v4.1.0.
% Transfm : none
% Format : tptp:raw
% Command : leancop_casc.sh %s %d
% Computer : n004.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 05:04:29 EDT 2022
% Result : Theorem 134.23s 129.30s
% Output : Proof 134.23s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.08/0.13 % Problem : GEO307+1 : TPTP v8.1.0. Released v4.1.0.
% 0.08/0.13 % Command : leancop_casc.sh %s %d
% 0.13/0.35 % Computer : n004.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 : Fri Jun 17 22:35:38 EDT 2022
% 0.13/0.35 % CPUTime :
% 134.23/129.30 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 134.23/129.30 % SZS output start Proof for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 134.23/129.31
% 134.23/129.31 %-----------------------------------------------------
% 134.23/129.31 fof('holds(357, 1316, 0)', conjecture, vangle(vd1288, vd1287, vd1289) = vangle(vd1288, vd1287, vd1306), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', 'holds(357, 1316, 0)')).
% 134.23/129.31 fof('neg(neg(conjunct2(356)))', axiom, ~ rR(vd1287, vd1289, vd1306), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', 'neg(neg(conjunct2(356)))')).
% 134.23/129.31 fof('neg(neg(356))', axiom, ~ rR(vd1287, vd1288, vd1299), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', 'neg(neg(356))')).
% 134.23/129.31 fof('pred(352, 0)', axiom, rpoint(vd1306), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', 'pred(352, 0)')).
% 134.23/129.31 fof('and(pred(conjunct2(348), 4), and(holds(conjunct2(348), 1304, 0), and(pred(conjunct2(348), 1), holds(conjunct1(348), 1301, 0))))', axiom, vd1302 = vd1303 & rR(vd1289, vd1287, vd1302) & rpoint(vd1303) & rR(vd1288, vd1287, vd1299), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', 'and(pred(conjunct2(348), 4), and(holds(conjunct2(348), 1304, 0), and(pred(conjunct2(348), 1), holds(conjunct1(348), 1301, 0))))')).
% 134.23/129.31 fof('and(holds(conjunct2(345), 1294, 0), and(pred(conjunct1(345), 9), and(pred(conjunct1(345), 8), and(pred(conjunct1(345), 7), and(qe(s3(plural(345))), and(qe(s2(plural(345))), qe(s1(plural(345)))))))))', axiom, vf(vd1287, vd1288) = vf(vd1287, vd1289) & (! vd1288) = vd1289 & (! vd1287) = vd1289 & (! vd1287) = vd1288 & ? [_203141] : (vd1289 = _203141 & rpoint(_203141)) & ? [_203162] : (vd1288 = _203162 & rpoint(_203162)) & ? [_203183] : (vd1287 = _203183 & rpoint(_203183)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', 'and(holds(conjunct2(345), 1294, 0), and(pred(conjunct1(345), 9), and(pred(conjunct1(345), 8), and(pred(conjunct1(345), 7), and(qe(s3(plural(345))), and(qe(s2(plural(345))), qe(s1(plural(345)))))))))')).
% 134.23/129.31 fof('qu(cond(axiom(89), 0), imp(cond(axiom(89), 0)))', axiom, ! [_203604, _203607, _203610, _203613] : (rR(_203610, _203607, _203613) & rR(_203607, _203604, _203610) & ? [_203647] : (_203613 = _203647 & rpoint(_203647)) & ? [_203668] : (_203610 = _203668 & rpoint(_203668)) & ? [_203689] : (_203607 = _203689 & rpoint(_203689)) & ? [_203710] : (_203604 = _203710 & rpoint(_203710)) => rR(_203607, _203604, _203613)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', 'qu(cond(axiom(89), 0), imp(cond(axiom(89), 0)))')).
% 134.23/129.31 fof('holds(conjunct2(conjunct2(conjunct2(355))), 1309, 0)', axiom, (! vd1306) = vd1287, file('/export/starexec/sandbox2/benchmark/theBenchmark.p', 'holds(conjunct2(conjunct2(conjunct2(355))), 1309, 0)')).
% 134.23/129.31 fof('pred(348, 4)', axiom, vd1299 = vd1300, file('/export/starexec/sandbox2/benchmark/theBenchmark.p', 'pred(348, 4)')).
% 134.23/129.31 fof('pred(348, 1)', axiom, rpoint(vd1300), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', 'pred(348, 1)')).
% 134.23/129.31 fof('qu(cond(axiom(194), 0), imp(cond(axiom(194), 0)))', axiom, ! [_204266, _204269, _204272, _204275, _204278, _204281, _204284] : (~ rR(_204266, _204272, _204278) & ~ rR(_204266, _204269, _204275) & (! _204278) = _204266 & (! _204275) = _204266 & (! _204272) = _204266 & (! _204269) = _204266 & ron(_204278, _204284) & ron(_204272, _204284) & ron(_204275, _204281) & ron(_204269, _204281) & ron(_204266, _204281) & ? [_204404] : (_204284 = _204404 & rline(_204404)) & ? [_204425] : (_204281 = _204425 & rline(_204425)) & ? [_204446] : (_204278 = _204446 & rpoint(_204446)) & ? [_204467] : (_204275 = _204467 & rpoint(_204467)) & ? [_204488] : (_204272 = _204488 & rpoint(_204488)) & ? [_204509] : (_204269 = _204509 & rpoint(_204509)) & ? [_204530] : (_204266 = _204530 & rpoint(_204530)) => vangle(_204269, _204266, _204272) = vangle(_204275, _204266, _204278)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', 'qu(cond(axiom(194), 0), imp(cond(axiom(194), 0)))')).
% 134.23/129.31 fof('pred(conjunct1(353), 0)', axiom, ron(vd1306, vd1297), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', 'pred(conjunct1(353), 0)')).
% 134.23/129.31 fof('holds(conjunct1(355), 1312, 0)', axiom, (! vd1288) = vd1287, file('/export/starexec/sandbox2/benchmark/theBenchmark.p', 'holds(conjunct1(355), 1312, 0)')).
% 134.23/129.31 fof('pred(s2(plural(347)), 0)', axiom, ron(vd1289, vd1297), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', 'pred(s2(plural(347)), 0)')).
% 134.23/129.31 fof('pred(347, 0)', axiom, rline(vd1297), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', 'pred(347, 0)')).
% 134.23/129.31 fof('pred(s2(plural(346)), 0)', axiom, ron(vd1288, vd1295), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', 'pred(s2(plural(346)), 0)')).
% 134.23/129.31 fof('pred(s1(plural(346)), 0)', axiom, ron(vd1287, vd1295), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', 'pred(s1(plural(346)), 0)')).
% 134.23/129.31 fof('pred(346, 0)', axiom, rline(vd1295), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', 'pred(346, 0)')).
% 134.23/129.31
% 134.23/129.31 cnf(1, plain, [vangle(vd1288, vd1287, vd1289) = vangle(vd1288, vd1287, vd1306)], clausify('holds(357, 1316, 0)')).
% 134.23/129.31 cnf(2, plain, [-(_16056 = _16056)], theory(equality)).
% 134.23/129.31 cnf(3, plain, [_16062 = _16063, -(_16063 = _16062)], theory(equality)).
% 134.23/129.31 cnf(4, plain, [rR(vd1287, vd1289, vd1306)], clausify('neg(neg(conjunct2(356)))')).
% 134.23/129.31 cnf(5, plain, [rR(vd1287, vd1288, vd1299)], clausify('neg(neg(356))')).
% 134.23/129.31 cnf(6, plain, [-(rpoint(vd1306))], clausify('pred(352, 0)')).
% 134.23/129.31 cnf(7, plain, [-(rR(vd1288, vd1287, vd1299))], clausify('and(pred(conjunct2(348), 4), and(holds(conjunct2(348), 1304, 0), and(pred(conjunct2(348), 1), holds(conjunct1(348), 1301, 0))))')).
% 134.23/129.31 cnf(8, plain, [vd1287 = vd1289], clausify('and(holds(conjunct2(345), 1294, 0), and(pred(conjunct1(345), 9), and(pred(conjunct1(345), 8), and(pred(conjunct1(345), 7), and(qe(s3(plural(345))), and(qe(s2(plural(345))), qe(s1(plural(345)))))))))')).
% 134.23/129.31 cnf(9, plain, [vd1287 = vd1288], clausify('and(holds(conjunct2(345), 1294, 0), and(pred(conjunct1(345), 9), and(pred(conjunct1(345), 8), and(pred(conjunct1(345), 7), and(qe(s3(plural(345))), and(qe(s2(plural(345))), qe(s1(plural(345)))))))))')).
% 134.23/129.31 cnf(10, plain, [-(vd1289 = 1 ^ [])], clausify('and(holds(conjunct2(345), 1294, 0), and(pred(conjunct1(345), 9), and(pred(conjunct1(345), 8), and(pred(conjunct1(345), 7), and(qe(s3(plural(345))), and(qe(s2(plural(345))), qe(s1(plural(345)))))))))')).
% 134.23/129.31 cnf(11, plain, [-(rpoint(1 ^ []))], clausify('and(holds(conjunct2(345), 1294, 0), and(pred(conjunct1(345), 9), and(pred(conjunct1(345), 8), and(pred(conjunct1(345), 7), and(qe(s3(plural(345))), and(qe(s2(plural(345))), qe(s1(plural(345)))))))))')).
% 134.23/129.31 cnf(12, plain, [-(vd1288 = 2 ^ [])], clausify('and(holds(conjunct2(345), 1294, 0), and(pred(conjunct1(345), 9), and(pred(conjunct1(345), 8), and(pred(conjunct1(345), 7), and(qe(s3(plural(345))), and(qe(s2(plural(345))), qe(s1(plural(345)))))))))')).
% 134.23/129.31 cnf(13, plain, [-(rpoint(2 ^ []))], clausify('and(holds(conjunct2(345), 1294, 0), and(pred(conjunct1(345), 9), and(pred(conjunct1(345), 8), and(pred(conjunct1(345), 7), and(qe(s3(plural(345))), and(qe(s2(plural(345))), qe(s1(plural(345)))))))))')).
% 134.23/129.31 cnf(14, plain, [-(vd1287 = 3 ^ [])], clausify('and(holds(conjunct2(345), 1294, 0), and(pred(conjunct1(345), 9), and(pred(conjunct1(345), 8), and(pred(conjunct1(345), 7), and(qe(s3(plural(345))), and(qe(s2(plural(345))), qe(s1(plural(345)))))))))')).
% 134.23/129.31 cnf(15, plain, [-(rpoint(3 ^ []))], clausify('and(holds(conjunct2(345), 1294, 0), and(pred(conjunct1(345), 9), and(pred(conjunct1(345), 8), and(pred(conjunct1(345), 7), and(qe(s3(plural(345))), and(qe(s2(plural(345))), qe(s1(plural(345)))))))))')).
% 134.23/129.31 cnf(16, plain, [-(rR(_16641, _16640, _16643)), rR(_16642, _16641, _16643), rR(_16641, _16640, _16642), rpoint(_16652), _16643 = _16652, rpoint(_16658), _16642 = _16658, rpoint(_16664), _16641 = _16664, _16640 = _16670, rpoint(_16670)], clausify('qu(cond(axiom(89), 0), imp(cond(axiom(89), 0)))')).
% 134.23/129.31 cnf(17, plain, [vd1306 = vd1287], clausify('holds(conjunct2(conjunct2(conjunct2(355))), 1309, 0)')).
% 134.23/129.31 cnf(18, plain, [-(vd1299 = vd1300)], clausify('pred(348, 4)')).
% 134.23/129.31 cnf(19, plain, [-(rpoint(vd1300))], clausify('pred(348, 1)')).
% 134.23/129.31 cnf(20, plain, [-(vangle(_16743, _16742, _16744) = vangle(_16745, _16742, _16746)), -(rR(_16742, _16744, _16746)), -(rR(_16742, _16743, _16745)), -(_16746 = _16742), -(_16745 = _16742), -(_16744 = _16742), -(_16743 = _16742), ron(_16746, _16748), ron(_16744, _16748), ron(_16745, _16747), ron(_16743, _16747), ron(_16742, _16747), rline(_16784), _16748 = _16784, rline(_16790), _16747 = _16790, rpoint(_16796), _16746 = _16796, rpoint(_16802), _16745 = _16802, rpoint(_16808), _16744 = _16808, rpoint(_16814), _16743 = _16814, _16742 = _16820, rpoint(_16820)], clausify('qu(cond(axiom(194), 0), imp(cond(axiom(194), 0)))')).
% 134.23/129.31 cnf(21, plain, [-(ron(vd1306, vd1297))], clausify('pred(conjunct1(353), 0)')).
% 134.23/129.31 cnf(22, plain, [vd1288 = vd1287], clausify('holds(conjunct1(355), 1312, 0)')).
% 134.23/129.31 cnf(23, plain, [-(ron(vd1289, vd1297))], clausify('pred(s2(plural(347)), 0)')).
% 134.23/129.31 cnf(24, plain, [-(rline(vd1297))], clausify('pred(347, 0)')).
% 134.23/129.31 cnf(25, plain, [-(ron(vd1288, vd1295))], clausify('pred(s2(plural(346)), 0)')).
% 134.23/129.31 cnf(26, plain, [-(ron(vd1287, vd1295))], clausify('pred(s1(plural(346)), 0)')).
% 134.23/129.31 cnf(27, plain, [-(rline(vd1295))], clausify('pred(346, 0)')).
% 134.23/129.31
% 134.23/129.31 cnf('1',plain,[vangle(vd1288, vd1287, vd1289) = vangle(vd1288, vd1287, vd1306)],start(1)).
% 134.23/129.31 cnf('1.1',plain,[-(vangle(vd1288, vd1287, vd1289) = vangle(vd1288, vd1287, vd1306)), -(rR(vd1287, vd1289, vd1306)), -(rR(vd1287, vd1288, vd1288)), -(vd1306 = vd1287), -(vd1288 = vd1287), -(vd1289 = vd1287), -(vd1288 = vd1287), ron(vd1306, vd1297), ron(vd1289, vd1297), ron(vd1288, vd1295), ron(vd1288, vd1295), ron(vd1287, vd1295), rline(vd1297), vd1297 = vd1297, rline(vd1295), vd1295 = vd1295, rpoint(vd1306), vd1306 = vd1306, rpoint(2 ^ []), vd1288 = 2 ^ [], rpoint(1 ^ []), vd1289 = 1 ^ [], rpoint(2 ^ []), vd1288 = 2 ^ [], vd1287 = 3 ^ [], rpoint(3 ^ [])],extension(20,bind([[_16748, _16784, _16747, _16790, _16746, _16796, _16745, _16802, _16744, _16808, _16743, _16814, _16742, _16820], [vd1297, vd1297, vd1295, vd1295, vd1306, vd1306, vd1288, 2 ^ [], vd1289, 1 ^ [], vd1288, 2 ^ [], vd1287, 3 ^ []]]))).
% 134.23/129.31 cnf('1.1.1',plain,[rR(vd1287, vd1289, vd1306)],extension(4)).
% 134.23/129.31 cnf('1.1.2',plain,[rR(vd1287, vd1288, vd1288), -(rR(vd1287, vd1288, vd1299)), rR(vd1288, vd1287, vd1299), rpoint(vd1300), vd1299 = vd1300, rpoint(2 ^ []), vd1288 = 2 ^ [], rpoint(3 ^ []), vd1287 = 3 ^ [], vd1288 = 2 ^ [], rpoint(2 ^ [])],extension(16,bind([[_16643, _16652, _16642, _16658, _16641, _16664, _16640, _16670], [vd1299, vd1300, vd1288, 2 ^ [], vd1287, 3 ^ [], vd1288, 2 ^ []]]))).
% 134.23/129.31 cnf('1.1.2.1',plain,[rR(vd1287, vd1288, vd1299)],extension(5)).
% 134.23/129.31 cnf('1.1.2.2',plain,[-(rR(vd1288, vd1287, vd1299))],extension(7)).
% 134.23/129.31 cnf('1.1.2.3',plain,[-(rpoint(vd1300))],extension(19)).
% 134.23/129.31 cnf('1.1.2.4',plain,[-(vd1299 = vd1300)],extension(18)).
% 134.23/129.31 cnf('1.1.2.5',plain,[-(rpoint(2 ^ []))],extension(13)).
% 134.23/129.31 cnf('1.1.2.6',plain,[-(vd1288 = 2 ^ [])],extension(12)).
% 134.23/129.31 cnf('1.1.2.7',plain,[-(rpoint(3 ^ []))],extension(15)).
% 134.23/129.31 cnf('1.1.2.8',plain,[-(vd1287 = 3 ^ [])],extension(14)).
% 134.23/129.31 cnf('1.1.2.9',plain,[-(vd1288 = 2 ^ [])],extension(12)).
% 134.23/129.31 cnf('1.1.2.10',plain,[-(rpoint(2 ^ []))],extension(13)).
% 134.23/129.31 cnf('1.1.3',plain,[vd1306 = vd1287],extension(17)).
% 134.23/129.31 cnf('1.1.4',plain,[vd1288 = vd1287, -(vd1287 = vd1288)],extension(3,bind([[_16063, _16062], [vd1287, vd1288]]))).
% 134.23/129.31 cnf('1.1.4.1',plain,[vd1287 = vd1288],extension(9)).
% 134.23/129.31 cnf('1.1.5',plain,[vd1289 = vd1287, -(vd1287 = vd1289)],extension(3,bind([[_16063, _16062], [vd1287, vd1289]]))).
% 134.23/129.31 cnf('1.1.5.1',plain,[vd1287 = vd1289],extension(8)).
% 134.23/129.31 cnf('1.1.6',plain,[vd1288 = vd1287],extension(22)).
% 134.23/129.31 cnf('1.1.7',plain,[-(ron(vd1306, vd1297))],extension(21)).
% 134.23/129.31 cnf('1.1.8',plain,[-(ron(vd1289, vd1297))],extension(23)).
% 134.23/129.31 cnf('1.1.9',plain,[-(ron(vd1288, vd1295))],extension(25)).
% 134.23/129.31 cnf('1.1.10',plain,[-(ron(vd1288, vd1295))],extension(25)).
% 134.23/129.31 cnf('1.1.11',plain,[-(ron(vd1287, vd1295))],extension(26)).
% 134.23/129.31 cnf('1.1.12',plain,[-(rline(vd1297))],extension(24)).
% 134.23/129.31 cnf('1.1.13',plain,[-(vd1297 = vd1297)],extension(2,bind([[_16056], [vd1297]]))).
% 134.23/129.31 cnf('1.1.14',plain,[-(rline(vd1295))],extension(27)).
% 134.23/129.31 cnf('1.1.15',plain,[-(vd1295 = vd1295)],extension(2,bind([[_16056], [vd1295]]))).
% 134.23/129.31 cnf('1.1.16',plain,[-(rpoint(vd1306))],extension(6)).
% 134.23/129.31 cnf('1.1.17',plain,[-(vd1306 = vd1306)],extension(2,bind([[_16056], [vd1306]]))).
% 134.23/129.31 cnf('1.1.18',plain,[-(rpoint(2 ^ []))],extension(13)).
% 134.23/129.31 cnf('1.1.19',plain,[-(vd1288 = 2 ^ [])],extension(12)).
% 134.23/129.31 cnf('1.1.20',plain,[-(rpoint(1 ^ []))],extension(11)).
% 134.23/129.31 cnf('1.1.21',plain,[-(vd1289 = 1 ^ [])],extension(10)).
% 134.23/129.31 cnf('1.1.22',plain,[-(rpoint(2 ^ []))],extension(13)).
% 134.23/129.31 cnf('1.1.23',plain,[-(vd1288 = 2 ^ [])],extension(12)).
% 134.23/129.31 cnf('1.1.24',plain,[-(vd1287 = 3 ^ [])],extension(14)).
% 134.23/129.31 cnf('1.1.25',plain,[-(rpoint(3 ^ []))],extension(15)).
% 134.23/129.31 %-----------------------------------------------------
% 134.23/129.31
% 134.23/129.32 % SZS output end Proof for /export/starexec/sandbox2/benchmark/theBenchmark.p
%------------------------------------------------------------------------------