TSTP Solution File: TOP051-1 by Drodi---3.6.0
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Drodi---3.6.0
% Problem : TOP051-1 : TPTP v8.1.2. Released v8.1.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 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 : 300s
% DateTime : Tue Apr 30 20:55:18 EDT 2024
% Result : Unsatisfiable 0.17s 0.39s
% Output : CNFRefutation 0.17s
% Verified :
% SZS Type : Refutation
% Derivation depth : 42
% Number of leaves : 14
% Syntax : Number of formulae : 124 ( 124 unt; 0 def)
% Number of atoms : 124 ( 123 equ)
% Maximal formula atoms : 1 ( 1 avg)
% Number of connectives : 21 ( 21 ~; 0 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 4 ( 1 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 2 ( 0 usr; 1 prp; 0-2 aty)
% Number of functors : 13 ( 13 usr; 11 con; 0-10 aty)
% Number of variables : 18 ( 18 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
! [X] : product(X,X) = X,
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f2,axiom,
! [X,Y] : product(product(X,Y),Y) = X,
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f3,axiom,
! [X,Y,Z] : product(product(X,Y),Z) = product(product(X,Z),product(Y,Z)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f4,axiom,
product(a1,a6) = a2,
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f5,axiom,
product(a2,a7) = a3,
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f6,axiom,
product(a3,a1) = a4,
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f7,axiom,
product(a4,a10) = a5,
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f8,axiom,
product(a5,a9) = a6,
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f9,axiom,
product(a6,a2) = a7,
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f10,axiom,
product(a7,a3) = a8,
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f11,axiom,
product(a8,a6) = a9,
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f12,axiom,
product(a9,a4) = a10,
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f13,axiom,
product(a10,a5) = a11,
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f14,negated_conjecture,
tuple(a1,a6,a5,a2,a7,a3,a4,a9,a10,a8) != tuple(a2,a7,a6,a3,a8,a4,a5,a10,a11,a9),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f15,plain,
! [X0] : product(X0,X0) = X0,
inference(cnf_transformation,[status(esa)],[f1]) ).
fof(f16,plain,
! [X0,X1] : product(product(X0,X1),X1) = X0,
inference(cnf_transformation,[status(esa)],[f2]) ).
fof(f17,plain,
! [X0,X1,X2] : product(product(X0,X1),X2) = product(product(X0,X2),product(X1,X2)),
inference(cnf_transformation,[status(esa)],[f3]) ).
fof(f18,plain,
product(a1,a6) = a2,
inference(cnf_transformation,[status(esa)],[f4]) ).
fof(f19,plain,
product(a2,a7) = a3,
inference(cnf_transformation,[status(esa)],[f5]) ).
fof(f20,plain,
product(a3,a1) = a4,
inference(cnf_transformation,[status(esa)],[f6]) ).
fof(f21,plain,
product(a4,a10) = a5,
inference(cnf_transformation,[status(esa)],[f7]) ).
fof(f22,plain,
product(a5,a9) = a6,
inference(cnf_transformation,[status(esa)],[f8]) ).
fof(f23,plain,
product(a6,a2) = a7,
inference(cnf_transformation,[status(esa)],[f9]) ).
fof(f24,plain,
product(a7,a3) = a8,
inference(cnf_transformation,[status(esa)],[f10]) ).
fof(f25,plain,
product(a8,a6) = a9,
inference(cnf_transformation,[status(esa)],[f11]) ).
fof(f26,plain,
product(a9,a4) = a10,
inference(cnf_transformation,[status(esa)],[f12]) ).
fof(f27,plain,
product(a10,a5) = a11,
inference(cnf_transformation,[status(esa)],[f13]) ).
fof(f28,plain,
tuple(a1,a6,a5,a2,a7,a3,a4,a9,a10,a8) != tuple(a2,a7,a6,a3,a8,a4,a5,a10,a11,a9),
inference(cnf_transformation,[status(esa)],[f14]) ).
fof(f30,plain,
product(a10,a4) = a9,
inference(paramodulation,[status(thm)],[f26,f16]) ).
fof(f31,plain,
product(a9,a6) = a8,
inference(paramodulation,[status(thm)],[f25,f16]) ).
fof(f33,plain,
product(a7,a2) = a6,
inference(paramodulation,[status(thm)],[f23,f16]) ).
fof(f37,plain,
product(a3,a7) = a2,
inference(paramodulation,[status(thm)],[f19,f16]) ).
fof(f38,plain,
product(a2,a6) = a1,
inference(paramodulation,[status(thm)],[f18,f16]) ).
fof(f59,plain,
! [X0] : product(product(a8,X0),a6) = product(a9,product(X0,a6)),
inference(paramodulation,[status(thm)],[f25,f17]) ).
fof(f63,plain,
! [X0] : product(product(a6,X0),a2) = product(a7,product(X0,a2)),
inference(paramodulation,[status(thm)],[f23,f17]) ).
fof(f65,plain,
! [X0] : product(product(a5,X0),a9) = product(a6,product(X0,a9)),
inference(paramodulation,[status(thm)],[f22,f17]) ).
fof(f69,plain,
! [X0] : product(product(a3,X0),a1) = product(a4,product(X0,a1)),
inference(paramodulation,[status(thm)],[f20,f17]) ).
fof(f73,plain,
! [X0,X1] : product(product(X0,X1),X0) = product(X0,product(X1,X0)),
inference(paramodulation,[status(thm)],[f15,f17]) ).
fof(f110,plain,
product(a9,a10) = product(a10,product(a4,a10)),
inference(paramodulation,[status(thm)],[f30,f73]) ).
fof(f111,plain,
product(a9,a10) = product(a10,a5),
inference(forward_demodulation,[status(thm)],[f21,f110]) ).
fof(f112,plain,
product(a9,a10) = a11,
inference(forward_demodulation,[status(thm)],[f27,f111]) ).
fof(f121,plain,
product(a6,a7) = product(a7,product(a2,a7)),
inference(paramodulation,[status(thm)],[f33,f73]) ).
fof(f122,plain,
product(a6,a7) = product(a7,a3),
inference(forward_demodulation,[status(thm)],[f19,f121]) ).
fof(f123,plain,
product(a6,a7) = a8,
inference(forward_demodulation,[status(thm)],[f24,f122]) ).
fof(f129,plain,
product(a7,a6) = product(a6,product(a2,a6)),
inference(paramodulation,[status(thm)],[f23,f73]) ).
fof(f130,plain,
product(a7,a6) = product(a6,a1),
inference(forward_demodulation,[status(thm)],[f38,f129]) ).
fof(f135,plain,
product(a5,a4) = product(a4,product(a10,a4)),
inference(paramodulation,[status(thm)],[f21,f73]) ).
fof(f136,plain,
product(a5,a4) = product(a4,a9),
inference(forward_demodulation,[status(thm)],[f30,f135]) ).
fof(f140,plain,
product(a1,a2) = product(a2,product(a6,a2)),
inference(paramodulation,[status(thm)],[f38,f73]) ).
fof(f141,plain,
product(a1,a2) = product(a2,a7),
inference(forward_demodulation,[status(thm)],[f23,f140]) ).
fof(f142,plain,
product(a1,a2) = a3,
inference(forward_demodulation,[status(thm)],[f19,f141]) ).
fof(f166,plain,
product(a8,a6) = product(a6,product(a7,a6)),
inference(paramodulation,[status(thm)],[f123,f73]) ).
fof(f167,plain,
a9 = product(a6,product(a7,a6)),
inference(forward_demodulation,[status(thm)],[f25,f166]) ).
fof(f175,plain,
product(a3,a1) = product(a1,product(a2,a1)),
inference(paramodulation,[status(thm)],[f142,f73]) ).
fof(f176,plain,
a4 = product(a1,product(a2,a1)),
inference(forward_demodulation,[status(thm)],[f20,f175]) ).
fof(f466,plain,
a9 = product(a6,product(a6,a1)),
inference(forward_demodulation,[status(thm)],[f130,f167]) ).
fof(f479,plain,
product(a9,product(a6,a1)) = a6,
inference(paramodulation,[status(thm)],[f466,f16]) ).
fof(f494,plain,
product(a4,product(a2,a1)) = a1,
inference(paramodulation,[status(thm)],[f176,f16]) ).
fof(f881,plain,
product(a8,a2) = product(a7,product(a7,a2)),
inference(paramodulation,[status(thm)],[f123,f63]) ).
fof(f882,plain,
product(a8,a2) = product(a7,a6),
inference(forward_demodulation,[status(thm)],[f33,f881]) ).
fof(f883,plain,
product(a8,a2) = product(a6,a1),
inference(forward_demodulation,[status(thm)],[f130,f882]) ).
fof(f906,plain,
product(product(a4,a9),a9) = product(a6,product(a4,a9)),
inference(paramodulation,[status(thm)],[f136,f65]) ).
fof(f907,plain,
a4 = product(a6,product(a4,a9)),
inference(forward_demodulation,[status(thm)],[f16,f906]) ).
fof(f964,plain,
product(product(a6,a1),a6) = product(a9,product(a2,a6)),
inference(paramodulation,[status(thm)],[f883,f59]) ).
fof(f965,plain,
product(a6,product(a1,a6)) = product(a9,product(a2,a6)),
inference(forward_demodulation,[status(thm)],[f73,f964]) ).
fof(f966,plain,
product(a6,a2) = product(a9,product(a2,a6)),
inference(forward_demodulation,[status(thm)],[f18,f965]) ).
fof(f967,plain,
a7 = product(a9,product(a2,a6)),
inference(forward_demodulation,[status(thm)],[f23,f966]) ).
fof(f968,plain,
a7 = product(a9,a1),
inference(forward_demodulation,[status(thm)],[f38,f967]) ).
fof(f987,plain,
product(a7,a1) = a9,
inference(paramodulation,[status(thm)],[f968,f16]) ).
fof(f1009,plain,
product(a2,a1) = product(a4,product(a7,a1)),
inference(paramodulation,[status(thm)],[f37,f69]) ).
fof(f1010,plain,
product(a2,a1) = product(a4,a9),
inference(forward_demodulation,[status(thm)],[f987,f1009]) ).
fof(f1041,plain,
product(a4,product(a4,a9)) = a6,
inference(paramodulation,[status(thm)],[f907,f16]) ).
fof(f1071,plain,
product(a4,product(a2,a1)) = a6,
inference(forward_demodulation,[status(thm)],[f1010,f1041]) ).
fof(f1072,plain,
a1 = a6,
inference(forward_demodulation,[status(thm)],[f494,f1071]) ).
fof(f1084,plain,
product(a9,product(a6,a1)) = a1,
inference(backward_demodulation,[status(thm)],[f1072,f479]) ).
fof(f1085,plain,
product(a9,product(a1,a1)) = a1,
inference(forward_demodulation,[status(thm)],[f1072,f1084]) ).
fof(f1086,plain,
product(a9,a1) = a1,
inference(forward_demodulation,[status(thm)],[f15,f1085]) ).
fof(f1087,plain,
a7 = a1,
inference(forward_demodulation,[status(thm)],[f968,f1086]) ).
fof(f1088,plain,
a9 = product(a6,product(a1,a1)),
inference(backward_demodulation,[status(thm)],[f1072,f466]) ).
fof(f1089,plain,
a9 = product(a1,product(a1,a1)),
inference(forward_demodulation,[status(thm)],[f1072,f1088]) ).
fof(f1090,plain,
a9 = product(a1,a1),
inference(forward_demodulation,[status(thm)],[f15,f1089]) ).
fof(f1091,plain,
a9 = a1,
inference(forward_demodulation,[status(thm)],[f15,f1090]) ).
fof(f1103,plain,
product(a9,a1) = a8,
inference(backward_demodulation,[status(thm)],[f1072,f31]) ).
fof(f1104,plain,
a7 = a8,
inference(forward_demodulation,[status(thm)],[f968,f1103]) ).
fof(f1106,plain,
product(a1,a2) = a7,
inference(backward_demodulation,[status(thm)],[f1072,f23]) ).
fof(f1107,plain,
a3 = a7,
inference(forward_demodulation,[status(thm)],[f142,f1106]) ).
fof(f1108,plain,
product(a5,a9) = a1,
inference(backward_demodulation,[status(thm)],[f1072,f22]) ).
fof(f1109,plain,
product(a1,a1) = a2,
inference(backward_demodulation,[status(thm)],[f1072,f18]) ).
fof(f1110,plain,
a1 = a2,
inference(forward_demodulation,[status(thm)],[f15,f1109]) ).
fof(f1111,plain,
tuple(a1,a6,a5,a2,a7,a3,a4,a9,a10,a8) != tuple(a2,a7,a1,a3,a8,a4,a5,a10,a11,a9),
inference(backward_demodulation,[status(thm)],[f1072,f28]) ).
fof(f1112,plain,
tuple(a1,a1,a5,a2,a7,a3,a4,a9,a10,a8) != tuple(a2,a7,a1,a3,a8,a4,a5,a10,a11,a9),
inference(forward_demodulation,[status(thm)],[f1072,f1111]) ).
fof(f1120,plain,
product(a3,a1) = a2,
inference(backward_demodulation,[status(thm)],[f1087,f37]) ).
fof(f1121,plain,
a4 = a2,
inference(forward_demodulation,[status(thm)],[f20,f1120]) ).
fof(f1138,plain,
product(a1,a10) = a11,
inference(backward_demodulation,[status(thm)],[f1091,f112]) ).
fof(f1139,plain,
product(a10,a4) = a1,
inference(backward_demodulation,[status(thm)],[f1091,f30]) ).
fof(f1141,plain,
a1 = a8,
inference(forward_demodulation,[status(thm)],[f1087,f1104]) ).
fof(f1145,plain,
a3 = a1,
inference(forward_demodulation,[status(thm)],[f1087,f1107]) ).
fof(f1171,plain,
product(a5,a1) = a1,
inference(forward_demodulation,[status(thm)],[f1091,f1108]) ).
fof(f1183,plain,
product(a1,a1) = a5,
inference(paramodulation,[status(thm)],[f1171,f16]) ).
fof(f1184,plain,
a1 = a5,
inference(forward_demodulation,[status(thm)],[f15,f1183]) ).
fof(f1185,plain,
a4 = a1,
inference(forward_demodulation,[status(thm)],[f1110,f1121]) ).
fof(f1212,plain,
tuple(a1,a1,a1,a2,a7,a3,a4,a9,a10,a8) != tuple(a2,a7,a1,a3,a8,a4,a5,a10,a11,a9),
inference(forward_demodulation,[status(thm)],[f1184,f1112]) ).
fof(f1213,plain,
tuple(a1,a1,a1,a1,a7,a3,a4,a9,a10,a8) != tuple(a2,a7,a1,a3,a8,a4,a5,a10,a11,a9),
inference(forward_demodulation,[status(thm)],[f1110,f1212]) ).
fof(f1214,plain,
tuple(a1,a1,a1,a1,a1,a3,a4,a9,a10,a8) != tuple(a2,a7,a1,a3,a8,a4,a5,a10,a11,a9),
inference(forward_demodulation,[status(thm)],[f1087,f1213]) ).
fof(f1215,plain,
tuple(a1,a1,a1,a1,a1,a1,a4,a9,a10,a8) != tuple(a2,a7,a1,a3,a8,a4,a5,a10,a11,a9),
inference(forward_demodulation,[status(thm)],[f1145,f1214]) ).
fof(f1216,plain,
tuple(a1,a1,a1,a1,a1,a1,a1,a9,a10,a8) != tuple(a2,a7,a1,a3,a8,a4,a5,a10,a11,a9),
inference(forward_demodulation,[status(thm)],[f1185,f1215]) ).
fof(f1217,plain,
tuple(a1,a1,a1,a1,a1,a1,a1,a1,a10,a8) != tuple(a2,a7,a1,a3,a8,a4,a5,a10,a11,a9),
inference(forward_demodulation,[status(thm)],[f1091,f1216]) ).
fof(f1218,plain,
tuple(a1,a1,a1,a1,a1,a1,a1,a1,a10,a1) != tuple(a2,a7,a1,a3,a8,a4,a5,a10,a11,a9),
inference(forward_demodulation,[status(thm)],[f1141,f1217]) ).
fof(f1219,plain,
tuple(a1,a1,a1,a1,a1,a1,a1,a1,a10,a1) != tuple(a1,a7,a1,a3,a8,a4,a5,a10,a11,a9),
inference(forward_demodulation,[status(thm)],[f1110,f1218]) ).
fof(f1220,plain,
tuple(a1,a1,a1,a1,a1,a1,a1,a1,a10,a1) != tuple(a1,a1,a1,a3,a8,a4,a5,a10,a11,a9),
inference(forward_demodulation,[status(thm)],[f1087,f1219]) ).
fof(f1221,plain,
tuple(a1,a1,a1,a1,a1,a1,a1,a1,a10,a1) != tuple(a1,a1,a1,a1,a8,a4,a5,a10,a11,a9),
inference(forward_demodulation,[status(thm)],[f1145,f1220]) ).
fof(f1222,plain,
tuple(a1,a1,a1,a1,a1,a1,a1,a1,a10,a1) != tuple(a1,a1,a1,a1,a1,a4,a5,a10,a11,a9),
inference(forward_demodulation,[status(thm)],[f1141,f1221]) ).
fof(f1223,plain,
tuple(a1,a1,a1,a1,a1,a1,a1,a1,a10,a1) != tuple(a1,a1,a1,a1,a1,a1,a5,a10,a11,a9),
inference(forward_demodulation,[status(thm)],[f1185,f1222]) ).
fof(f1224,plain,
tuple(a1,a1,a1,a1,a1,a1,a1,a1,a10,a1) != tuple(a1,a1,a1,a1,a1,a1,a1,a10,a11,a9),
inference(forward_demodulation,[status(thm)],[f1184,f1223]) ).
fof(f1225,plain,
tuple(a1,a1,a1,a1,a1,a1,a1,a1,a10,a1) != tuple(a1,a1,a1,a1,a1,a1,a1,a10,a11,a1),
inference(forward_demodulation,[status(thm)],[f1091,f1224]) ).
fof(f1248,plain,
product(a10,a1) = a1,
inference(forward_demodulation,[status(thm)],[f1185,f1139]) ).
fof(f1262,plain,
product(a1,a1) = a10,
inference(paramodulation,[status(thm)],[f1248,f16]) ).
fof(f1263,plain,
a1 = a10,
inference(forward_demodulation,[status(thm)],[f15,f1262]) ).
fof(f1265,plain,
product(a1,a1) = a11,
inference(backward_demodulation,[status(thm)],[f1263,f1138]) ).
fof(f1266,plain,
a1 = a11,
inference(forward_demodulation,[status(thm)],[f15,f1265]) ).
fof(f1268,plain,
tuple(a1,a1,a1,a1,a1,a1,a1,a1,a10,a1) != tuple(a1,a1,a1,a1,a1,a1,a1,a1,a11,a1),
inference(backward_demodulation,[status(thm)],[f1263,f1225]) ).
fof(f1269,plain,
tuple(a1,a1,a1,a1,a1,a1,a1,a1,a1,a1) != tuple(a1,a1,a1,a1,a1,a1,a1,a1,a11,a1),
inference(forward_demodulation,[status(thm)],[f1263,f1268]) ).
fof(f1270,plain,
tuple(a1,a1,a1,a1,a1,a1,a1,a1,a1,a1) != tuple(a1,a1,a1,a1,a1,a1,a1,a1,a1,a1),
inference(backward_demodulation,[status(thm)],[f1266,f1269]) ).
fof(f1271,plain,
$false,
inference(trivial_equality_resolution,[status(esa)],[f1270]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.02/0.11 % Problem : TOP051-1 : TPTP v8.1.2. Released v8.1.0.
% 0.02/0.11 % Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.11/0.32 % Computer : n026.cluster.edu
% 0.11/0.32 % Model : x86_64 x86_64
% 0.11/0.32 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.32 % Memory : 8042.1875MB
% 0.11/0.32 % OS : Linux 3.10.0-693.el7.x86_64
% 0.11/0.32 % CPULimit : 300
% 0.11/0.32 % WCLimit : 300
% 0.11/0.32 % DateTime : Mon Apr 29 22:33:04 EDT 2024
% 0.11/0.32 % CPUTime :
% 0.11/0.33 % Drodi V3.6.0
% 0.17/0.39 % Refutation found
% 0.17/0.39 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.17/0.39 % SZS output start CNFRefutation for theBenchmark
% See solution above
% 0.17/0.40 % Elapsed time: 0.076130 seconds
% 0.17/0.40 % CPU time: 0.538172 seconds
% 0.17/0.40 % Total memory used: 27.738 MB
% 0.17/0.40 % Net memory used: 27.372 MB
%------------------------------------------------------------------------------