TSTP Solution File: TOP051-1 by Drodi---3.5.1
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- Process Solution
%------------------------------------------------------------------------------
% File : Drodi---3.5.1
% 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 : n031.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 : Wed May 31 12:50:03 EDT 2023
% Result : Unsatisfiable 0.19s 0.45s
% Output : CNFRefutation 0.19s
% Verified :
% SZS Type : Refutation
% Derivation depth : 39
% Number of leaves : 14
% Syntax : Number of formulae : 122 ( 122 unt; 0 def)
% Number of atoms : 122 ( 121 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 : 4 ( 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 : 19 (; 19 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
! [X] : product(X,X) = X,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f2,axiom,
! [X,Y] : product(product(X,Y),Y) = X,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f3,axiom,
! [X,Y,Z] : product(product(X,Y),Z) = product(product(X,Z),product(Y,Z)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f4,axiom,
product(a1,a6) = a2,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f5,axiom,
product(a2,a7) = a3,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f6,axiom,
product(a3,a1) = a4,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f7,axiom,
product(a4,a10) = a5,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f8,axiom,
product(a5,a9) = a6,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f9,axiom,
product(a6,a2) = a7,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f10,axiom,
product(a7,a3) = a8,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f11,axiom,
product(a8,a6) = a9,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f12,axiom,
product(a9,a4) = a10,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f13,axiom,
product(a10,a5) = a11,
file('/export/starexec/sandbox2/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/sandbox2/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(f34,plain,
product(a6,a9) = a5,
inference(paramodulation,[status(thm)],[f22,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(f53,plain,
! [X0,X1,X2] : product(product(product(X0,X1),X2),X1) = product(X0,product(X2,X1)),
inference(paramodulation,[status(thm)],[f16,f17]) ).
fof(f63,plain,
! [X0] : product(product(a6,X0),a2) = product(a7,product(X0,a2)),
inference(paramodulation,[status(thm)],[f23,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(f118,plain,
product(a6,a7) = product(a7,product(a2,a7)),
inference(paramodulation,[status(thm)],[f33,f73]) ).
fof(f119,plain,
product(a6,a7) = product(a7,a3),
inference(forward_demodulation,[status(thm)],[f19,f118]) ).
fof(f120,plain,
product(a6,a7) = a8,
inference(forward_demodulation,[status(thm)],[f24,f119]) ).
fof(f126,plain,
product(a7,a6) = product(a6,product(a2,a6)),
inference(paramodulation,[status(thm)],[f23,f73]) ).
fof(f127,plain,
product(a7,a6) = product(a6,a1),
inference(forward_demodulation,[status(thm)],[f38,f126]) ).
fof(f132,plain,
product(a5,a4) = product(a4,product(a10,a4)),
inference(paramodulation,[status(thm)],[f21,f73]) ).
fof(f133,plain,
product(a5,a4) = product(a4,a9),
inference(forward_demodulation,[status(thm)],[f30,f132]) ).
fof(f137,plain,
product(a1,a2) = product(a2,product(a6,a2)),
inference(paramodulation,[status(thm)],[f38,f73]) ).
fof(f138,plain,
product(a1,a2) = product(a2,a7),
inference(forward_demodulation,[status(thm)],[f23,f137]) ).
fof(f139,plain,
product(a1,a2) = a3,
inference(forward_demodulation,[status(thm)],[f19,f138]) ).
fof(f160,plain,
product(a8,a6) = product(a6,product(a7,a6)),
inference(paramodulation,[status(thm)],[f120,f73]) ).
fof(f161,plain,
a9 = product(a6,product(a7,a6)),
inference(forward_demodulation,[status(thm)],[f25,f160]) ).
fof(f169,plain,
product(a3,a1) = product(a1,product(a2,a1)),
inference(paramodulation,[status(thm)],[f139,f73]) ).
fof(f170,plain,
a4 = product(a1,product(a2,a1)),
inference(forward_demodulation,[status(thm)],[f20,f169]) ).
fof(f390,plain,
product(product(a6,a1),a6) = a7,
inference(paramodulation,[status(thm)],[f127,f16]) ).
fof(f432,plain,
product(product(a4,a9),a4) = a5,
inference(paramodulation,[status(thm)],[f133,f16]) ).
fof(f443,plain,
a9 = product(a6,product(a6,a1)),
inference(forward_demodulation,[status(thm)],[f127,f161]) ).
fof(f456,plain,
product(a9,product(a6,a1)) = a6,
inference(paramodulation,[status(thm)],[f443,f16]) ).
fof(f469,plain,
product(a4,product(a2,a1)) = a1,
inference(paramodulation,[status(thm)],[f170,f16]) ).
fof(f506,plain,
product(a7,a1) = product(a6,product(a6,a1)),
inference(paramodulation,[status(thm)],[f390,f53]) ).
fof(f507,plain,
product(a7,a1) = a9,
inference(forward_demodulation,[status(thm)],[f443,f506]) ).
fof(f530,plain,
product(a9,a1) = a7,
inference(paramodulation,[status(thm)],[f507,f16]) ).
fof(f787,plain,
product(a5,a9) = product(a4,product(a4,a9)),
inference(paramodulation,[status(thm)],[f432,f53]) ).
fof(f788,plain,
a6 = product(a4,product(a4,a9)),
inference(forward_demodulation,[status(thm)],[f22,f787]) ).
fof(f946,plain,
product(a8,a2) = product(a7,product(a7,a2)),
inference(paramodulation,[status(thm)],[f120,f63]) ).
fof(f947,plain,
product(a8,a2) = product(a7,a6),
inference(forward_demodulation,[status(thm)],[f33,f946]) ).
fof(f948,plain,
product(a8,a2) = product(a6,a1),
inference(forward_demodulation,[status(thm)],[f127,f947]) ).
fof(f1065,plain,
product(product(a6,a1),a2) = a8,
inference(paramodulation,[status(thm)],[f948,f16]) ).
fof(f1121,plain,
product(a2,a1) = product(a4,product(a7,a1)),
inference(paramodulation,[status(thm)],[f37,f69]) ).
fof(f1122,plain,
product(a2,a1) = product(a4,a9),
inference(forward_demodulation,[status(thm)],[f507,f1121]) ).
fof(f1147,plain,
a6 = product(a4,product(a2,a1)),
inference(backward_demodulation,[status(thm)],[f1122,f788]) ).
fof(f1148,plain,
a6 = a1,
inference(forward_demodulation,[status(thm)],[f469,f1147]) ).
fof(f1166,plain,
product(product(a1,a1),a2) = a8,
inference(backward_demodulation,[status(thm)],[f1148,f1065]) ).
fof(f1167,plain,
product(a1,a2) = a8,
inference(forward_demodulation,[status(thm)],[f15,f1166]) ).
fof(f1168,plain,
a3 = a8,
inference(forward_demodulation,[status(thm)],[f139,f1167]) ).
fof(f1176,plain,
product(a9,product(a6,a1)) = a1,
inference(backward_demodulation,[status(thm)],[f1148,f456]) ).
fof(f1177,plain,
product(a9,product(a1,a1)) = a1,
inference(forward_demodulation,[status(thm)],[f1148,f1176]) ).
fof(f1178,plain,
product(a9,a1) = a1,
inference(forward_demodulation,[status(thm)],[f15,f1177]) ).
fof(f1197,plain,
product(a1,a9) = a5,
inference(backward_demodulation,[status(thm)],[f1148,f34]) ).
fof(f1199,plain,
product(a9,a1) = a8,
inference(backward_demodulation,[status(thm)],[f1148,f31]) ).
fof(f1200,plain,
a7 = a8,
inference(forward_demodulation,[status(thm)],[f530,f1199]) ).
fof(f1201,plain,
product(a8,a1) = a9,
inference(backward_demodulation,[status(thm)],[f1148,f25]) ).
fof(f1202,plain,
product(a1,a2) = a7,
inference(backward_demodulation,[status(thm)],[f1148,f23]) ).
fof(f1204,plain,
product(a1,a1) = a2,
inference(backward_demodulation,[status(thm)],[f1148,f18]) ).
fof(f1205,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)],[f1148,f28]) ).
fof(f1206,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)],[f1148,f1205]) ).
fof(f1216,plain,
a3 = a7,
inference(backward_demodulation,[status(thm)],[f1200,f1168]) ).
fof(f1224,plain,
a1 = a7,
inference(backward_demodulation,[status(thm)],[f1178,f530]) ).
fof(f1235,plain,
a3 = a1,
inference(backward_demodulation,[status(thm)],[f1224,f1216]) ).
fof(f1236,plain,
a1 = a8,
inference(backward_demodulation,[status(thm)],[f1224,f1200]) ).
fof(f1239,plain,
product(a1,a1) = a9,
inference(forward_demodulation,[status(thm)],[f1236,f1201]) ).
fof(f1240,plain,
a1 = a9,
inference(paramodulation,[status(thm)],[f15,f1239]) ).
fof(f1255,plain,
product(a1,a2) = a1,
inference(forward_demodulation,[status(thm)],[f1224,f1202]) ).
fof(f1262,plain,
product(a1,a1) = product(a1,product(a2,a1)),
inference(paramodulation,[status(thm)],[f1255,f73]) ).
fof(f1263,plain,
a9 = product(a1,product(a2,a1)),
inference(forward_demodulation,[status(thm)],[f1239,f1262]) ).
fof(f1264,plain,
a9 = a4,
inference(forward_demodulation,[status(thm)],[f170,f1263]) ).
fof(f1277,plain,
product(a1,a4) = a10,
inference(backward_demodulation,[status(thm)],[f1240,f26]) ).
fof(f1278,plain,
a1 = a4,
inference(forward_demodulation,[status(thm)],[f1240,f1264]) ).
fof(f1301,plain,
product(a1,a1) = a5,
inference(forward_demodulation,[status(thm)],[f1240,f1197]) ).
fof(f1302,plain,
a1 = a5,
inference(paramodulation,[status(thm)],[f15,f1301]) ).
fof(f1320,plain,
product(a10,a1) = a11,
inference(backward_demodulation,[status(thm)],[f1302,f27]) ).
fof(f1324,plain,
a1 = a2,
inference(paramodulation,[status(thm)],[f15,f1204]) ).
fof(f1342,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)],[f1302,f1206]) ).
fof(f1343,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)],[f1324,f1342]) ).
fof(f1344,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)],[f1224,f1343]) ).
fof(f1345,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)],[f1235,f1344]) ).
fof(f1346,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)],[f1278,f1345]) ).
fof(f1347,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)],[f1240,f1346]) ).
fof(f1348,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)],[f1236,f1347]) ).
fof(f1349,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)],[f1324,f1348]) ).
fof(f1350,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)],[f1224,f1349]) ).
fof(f1351,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)],[f1235,f1350]) ).
fof(f1352,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)],[f1236,f1351]) ).
fof(f1353,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)],[f1278,f1352]) ).
fof(f1354,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)],[f1302,f1353]) ).
fof(f1355,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)],[f1240,f1354]) ).
fof(f1409,plain,
product(a1,a1) = a10,
inference(forward_demodulation,[status(thm)],[f1278,f1277]) ).
fof(f1410,plain,
a1 = a10,
inference(paramodulation,[status(thm)],[f15,f1409]) ).
fof(f1429,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)],[f1410,f1355]) ).
fof(f1430,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)],[f1410,f1429]) ).
fof(f1433,plain,
product(a1,a1) = a11,
inference(forward_demodulation,[status(thm)],[f1410,f1320]) ).
fof(f1434,plain,
a1 = a11,
inference(paramodulation,[status(thm)],[f15,f1433]) ).
fof(f1463,plain,
tuple(a1,a1,a1,a1,a1,a1,a1,a1,a1,a1) != tuple(a1,a1,a1,a1,a1,a1,a1,a1,a1,a1),
inference(forward_demodulation,[status(thm)],[f1434,f1430]) ).
fof(f1464,plain,
$false,
inference(trivial_equality_resolution,[status(esa)],[f1463]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.12 % Problem : TOP051-1 : TPTP v8.1.2. Released v8.1.0.
% 0.06/0.12 % Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.13/0.33 % Computer : n031.cluster.edu
% 0.13/0.33 % Model : x86_64 x86_64
% 0.13/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.33 % Memory : 8042.1875MB
% 0.13/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.33 % CPULimit : 300
% 0.13/0.33 % WCLimit : 300
% 0.13/0.33 % DateTime : Tue May 30 10:57:22 EDT 2023
% 0.13/0.34 % CPUTime :
% 0.13/0.34 % Drodi V3.5.1
% 0.19/0.45 % Refutation found
% 0.19/0.45 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.19/0.45 % SZS output start CNFRefutation for theBenchmark
% See solution above
% 0.19/0.47 % Elapsed time: 0.129572 seconds
% 0.19/0.47 % CPU time: 0.672260 seconds
% 0.19/0.47 % Memory used: 15.187 MB
%------------------------------------------------------------------------------