TSTP Solution File: GRP486-1 by Drodi---3.6.0
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- Process Solution
%------------------------------------------------------------------------------
% File : Drodi---3.6.0
% Problem : GRP486-1 : TPTP v8.1.2. Released v2.6.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% Computer : n024.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 20:20:46 EDT 2024
% Result : Unsatisfiable 0.20s 0.47s
% Output : CNFRefutation 0.20s
% Verified :
% SZS Type : Refutation
% Derivation depth : 31
% Number of leaves : 5
% Syntax : Number of formulae : 93 ( 93 unt; 0 def)
% Number of atoms : 93 ( 92 equ)
% Maximal formula atoms : 1 ( 1 avg)
% Number of connectives : 2 ( 2 ~; 0 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 5 ( 3 avg)
% Maximal term depth : 7 ( 2 avg)
% Number of predicates : 2 ( 0 usr; 1 prp; 0-2 aty)
% Number of functors : 7 ( 7 usr; 4 con; 0-2 aty)
% Number of variables : 178 ( 178 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
! [A,B,C] : double_divide(double_divide(A,double_divide(double_divide(double_divide(A,B),C),double_divide(B,identity))),double_divide(identity,identity)) = C,
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f2,axiom,
! [A,B] : multiply(A,B) = double_divide(double_divide(B,A),identity),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f3,axiom,
! [A] : inverse(A) = double_divide(A,identity),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f4,axiom,
! [A] : identity = double_divide(A,inverse(A)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f5,negated_conjecture,
multiply(multiply(a3,b3),c3) != multiply(a3,multiply(b3,c3)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f6,plain,
! [X0,X1,X2] : double_divide(double_divide(X0,double_divide(double_divide(double_divide(X0,X1),X2),double_divide(X1,identity))),double_divide(identity,identity)) = X2,
inference(cnf_transformation,[status(esa)],[f1]) ).
fof(f7,plain,
! [X0,X1] : multiply(X0,X1) = double_divide(double_divide(X1,X0),identity),
inference(cnf_transformation,[status(esa)],[f2]) ).
fof(f8,plain,
! [X0] : inverse(X0) = double_divide(X0,identity),
inference(cnf_transformation,[status(esa)],[f3]) ).
fof(f9,plain,
! [X0] : identity = double_divide(X0,inverse(X0)),
inference(cnf_transformation,[status(esa)],[f4]) ).
fof(f10,plain,
multiply(multiply(a3,b3),c3) != multiply(a3,multiply(b3,c3)),
inference(cnf_transformation,[status(esa)],[f5]) ).
fof(f11,plain,
! [X0,X1] : multiply(identity,double_divide(X0,X1)) = double_divide(multiply(X1,X0),identity),
inference(paramodulation,[status(thm)],[f7,f7]) ).
fof(f14,plain,
! [X0,X1] : multiply(X0,X1) = inverse(double_divide(X1,X0)),
inference(backward_demodulation,[status(thm)],[f8,f7]) ).
fof(f15,plain,
! [X0,X1] : multiply(identity,double_divide(X0,X1)) = inverse(multiply(X1,X0)),
inference(backward_demodulation,[status(thm)],[f8,f11]) ).
fof(f16,plain,
! [X0] : multiply(identity,X0) = inverse(inverse(X0)),
inference(paramodulation,[status(thm)],[f8,f14]) ).
fof(f17,plain,
! [X0] : inverse(multiply(identity,X0)) = multiply(identity,inverse(X0)),
inference(paramodulation,[status(thm)],[f8,f15]) ).
fof(f25,plain,
! [X0] : identity = double_divide(inverse(X0),multiply(identity,X0)),
inference(paramodulation,[status(thm)],[f16,f9]) ).
fof(f26,plain,
! [X0,X1] : identity = double_divide(double_divide(X0,X1),multiply(X1,X0)),
inference(paramodulation,[status(thm)],[f14,f9]) ).
fof(f28,plain,
! [X0] : multiply(inverse(X0),X0) = inverse(identity),
inference(paramodulation,[status(thm)],[f9,f14]) ).
fof(f30,plain,
! [X0] : inverse(identity) = multiply(multiply(identity,X0),inverse(X0)),
inference(paramodulation,[status(thm)],[f16,f28]) ).
fof(f114,plain,
! [X0,X1,X2] : double_divide(double_divide(X0,double_divide(double_divide(double_divide(X0,X1),X2),inverse(X1))),double_divide(identity,identity)) = X2,
inference(forward_demodulation,[status(thm)],[f8,f6]) ).
fof(f115,plain,
! [X0,X1,X2] : double_divide(double_divide(X0,double_divide(double_divide(double_divide(X0,X1),X2),inverse(X1))),inverse(identity)) = X2,
inference(forward_demodulation,[status(thm)],[f8,f114]) ).
fof(f116,plain,
! [X0,X1,X2] : double_divide(double_divide(double_divide(double_divide(X0,identity),X1),X2),inverse(X1)) = double_divide(double_divide(X0,X2),inverse(identity)),
inference(paramodulation,[status(thm)],[f115,f115]) ).
fof(f118,plain,
! [X0,X1] : multiply(X0,X1) = double_divide(double_divide(X1,double_divide(identity,inverse(X0))),inverse(identity)),
inference(paramodulation,[status(thm)],[f26,f115]) ).
fof(f120,plain,
! [X0,X1] : identity = double_divide(double_divide(X0,double_divide(inverse(double_divide(X0,X1)),inverse(X1))),inverse(identity)),
inference(paramodulation,[status(thm)],[f8,f115]) ).
fof(f123,plain,
! [X0,X1,X2,X3] : X0 = double_divide(double_divide(double_divide(X1,double_divide(double_divide(double_divide(X1,X2),X3),inverse(X2))),double_divide(double_divide(X3,X0),inverse(inverse(identity)))),inverse(identity)),
inference(paramodulation,[status(thm)],[f115,f115]) ).
fof(f126,plain,
! [X0,X1] : X0 = double_divide(double_divide(X1,double_divide(double_divide(identity,X0),inverse(inverse(X1)))),inverse(identity)),
inference(paramodulation,[status(thm)],[f9,f115]) ).
fof(f127,plain,
! [X0,X1] : X0 = double_divide(double_divide(X1,double_divide(double_divide(inverse(X1),X0),inverse(identity))),inverse(identity)),
inference(paramodulation,[status(thm)],[f8,f115]) ).
fof(f135,plain,
! [X0,X1,X2] : double_divide(double_divide(double_divide(inverse(X0),X1),X2),inverse(X1)) = double_divide(double_divide(X0,X2),inverse(identity)),
inference(forward_demodulation,[status(thm)],[f8,f116]) ).
fof(f138,plain,
! [X0,X1] : identity = double_divide(double_divide(X0,double_divide(multiply(X1,X0),inverse(X1))),inverse(identity)),
inference(forward_demodulation,[status(thm)],[f14,f120]) ).
fof(f143,plain,
! [X0,X1,X2,X3] : X0 = double_divide(double_divide(double_divide(X1,double_divide(double_divide(double_divide(X1,X2),X3),inverse(X2))),double_divide(double_divide(X3,X0),multiply(identity,identity))),inverse(identity)),
inference(forward_demodulation,[status(thm)],[f16,f123]) ).
fof(f145,plain,
! [X0,X1] : X0 = double_divide(double_divide(X1,double_divide(double_divide(identity,X0),multiply(identity,X1))),inverse(identity)),
inference(forward_demodulation,[status(thm)],[f16,f126]) ).
fof(f146,plain,
! [X0] : multiply(identity,X0) = double_divide(double_divide(X0,identity),inverse(identity)),
inference(paramodulation,[status(thm)],[f9,f118]) ).
fof(f157,plain,
! [X0] : multiply(identity,X0) = double_divide(inverse(X0),inverse(identity)),
inference(forward_demodulation,[status(thm)],[f8,f146]) ).
fof(f212,plain,
! [X0,X1] : multiply(identity,double_divide(X0,X1)) = double_divide(multiply(X1,X0),inverse(identity)),
inference(paramodulation,[status(thm)],[f14,f157]) ).
fof(f219,plain,
! [X0,X1] : inverse(multiply(X0,X1)) = double_divide(multiply(X0,X1),inverse(identity)),
inference(forward_demodulation,[status(thm)],[f15,f212]) ).
fof(f330,plain,
! [X0,X1] : double_divide(multiply(X0,double_divide(X1,identity)),inverse(X0)) = double_divide(double_divide(X1,identity),inverse(identity)),
inference(paramodulation,[status(thm)],[f138,f115]) ).
fof(f347,plain,
! [X0,X1] : double_divide(multiply(X0,inverse(X1)),inverse(X0)) = double_divide(double_divide(X1,identity),inverse(identity)),
inference(forward_demodulation,[status(thm)],[f8,f330]) ).
fof(f348,plain,
! [X0,X1] : double_divide(multiply(X0,inverse(X1)),inverse(X0)) = double_divide(inverse(X1),inverse(identity)),
inference(forward_demodulation,[status(thm)],[f8,f347]) ).
fof(f349,plain,
! [X0,X1] : double_divide(multiply(X0,inverse(X1)),inverse(X0)) = multiply(identity,X1),
inference(forward_demodulation,[status(thm)],[f157,f348]) ).
fof(f352,plain,
! [X0] : multiply(identity,X0) = inverse(multiply(identity,inverse(X0))),
inference(paramodulation,[status(thm)],[f219,f349]) ).
fof(f371,plain,
! [X0] : multiply(identity,X0) = multiply(identity,inverse(inverse(X0))),
inference(forward_demodulation,[status(thm)],[f17,f352]) ).
fof(f372,plain,
! [X0] : multiply(identity,X0) = multiply(identity,multiply(identity,X0)),
inference(forward_demodulation,[status(thm)],[f16,f371]) ).
fof(f384,plain,
! [X0,X1] : multiply(identity,double_divide(X0,X1)) = multiply(identity,inverse(multiply(X1,X0))),
inference(paramodulation,[status(thm)],[f15,f372]) ).
fof(f398,plain,
! [X0,X1] : inverse(multiply(X0,X1)) = multiply(identity,inverse(multiply(X0,X1))),
inference(forward_demodulation,[status(thm)],[f15,f384]) ).
fof(f770,plain,
! [X0] : inverse(identity) = double_divide(double_divide(X0,double_divide(multiply(identity,X0),inverse(identity))),inverse(identity)),
inference(paramodulation,[status(thm)],[f157,f127]) ).
fof(f795,plain,
inverse(identity) = identity,
inference(forward_demodulation,[status(thm)],[f138,f770]) ).
fof(f1033,plain,
! [X0,X1] : X0 = double_divide(double_divide(X1,double_divide(double_divide(inverse(X1),X0),inverse(identity))),identity),
inference(backward_demodulation,[status(thm)],[f795,f127]) ).
fof(f1042,plain,
! [X0,X1] : multiply(X0,X1) = double_divide(double_divide(X1,double_divide(identity,inverse(X0))),identity),
inference(backward_demodulation,[status(thm)],[f795,f118]) ).
fof(f1048,plain,
! [X0] : identity = multiply(multiply(identity,X0),inverse(X0)),
inference(backward_demodulation,[status(thm)],[f795,f30]) ).
fof(f1056,plain,
multiply(identity,identity) = inverse(identity),
inference(paramodulation,[status(thm)],[f795,f16]) ).
fof(f1058,plain,
! [X0,X1] : X0 = inverse(double_divide(X1,double_divide(double_divide(inverse(X1),X0),inverse(identity)))),
inference(forward_demodulation,[status(thm)],[f8,f1033]) ).
fof(f1059,plain,
! [X0,X1] : X0 = multiply(double_divide(double_divide(inverse(X1),X0),inverse(identity)),X1),
inference(forward_demodulation,[status(thm)],[f14,f1058]) ).
fof(f1060,plain,
! [X0,X1] : X0 = multiply(double_divide(double_divide(inverse(X1),X0),identity),X1),
inference(forward_demodulation,[status(thm)],[f795,f1059]) ).
fof(f1061,plain,
! [X0,X1] : X0 = multiply(inverse(double_divide(inverse(X1),X0)),X1),
inference(forward_demodulation,[status(thm)],[f8,f1060]) ).
fof(f1062,plain,
! [X0,X1] : X0 = multiply(multiply(X0,inverse(X1)),X1),
inference(forward_demodulation,[status(thm)],[f14,f1061]) ).
fof(f1072,plain,
! [X0,X1] : multiply(X0,X1) = inverse(double_divide(X1,double_divide(identity,inverse(X0)))),
inference(forward_demodulation,[status(thm)],[f8,f1042]) ).
fof(f1073,plain,
! [X0,X1] : multiply(X0,X1) = multiply(double_divide(identity,inverse(X0)),X1),
inference(forward_demodulation,[status(thm)],[f14,f1072]) ).
fof(f1080,plain,
multiply(identity,identity) = identity,
inference(forward_demodulation,[status(thm)],[f795,f1056]) ).
fof(f1159,plain,
! [X0,X1,X2,X3] : X0 = double_divide(double_divide(double_divide(X1,double_divide(double_divide(double_divide(X1,X2),X3),inverse(X2))),double_divide(double_divide(X3,X0),identity)),inverse(identity)),
inference(forward_demodulation,[status(thm)],[f1080,f143]) ).
fof(f1160,plain,
! [X0,X1,X2,X3] : X0 = double_divide(double_divide(double_divide(X1,double_divide(double_divide(double_divide(X1,X2),X3),inverse(X2))),inverse(double_divide(X3,X0))),inverse(identity)),
inference(forward_demodulation,[status(thm)],[f8,f1159]) ).
fof(f1161,plain,
! [X0,X1,X2,X3] : X0 = double_divide(double_divide(double_divide(X1,double_divide(double_divide(double_divide(X1,X2),X3),inverse(X2))),multiply(X0,X3)),inverse(identity)),
inference(forward_demodulation,[status(thm)],[f14,f1160]) ).
fof(f1162,plain,
! [X0,X1,X2,X3] : X0 = double_divide(double_divide(double_divide(X1,double_divide(double_divide(double_divide(X1,X2),X3),inverse(X2))),multiply(X0,X3)),identity),
inference(forward_demodulation,[status(thm)],[f795,f1161]) ).
fof(f1163,plain,
! [X0,X1,X2,X3] : X0 = inverse(double_divide(double_divide(X1,double_divide(double_divide(double_divide(X1,X2),X3),inverse(X2))),multiply(X0,X3))),
inference(forward_demodulation,[status(thm)],[f8,f1162]) ).
fof(f1164,plain,
! [X0,X1,X2,X3] : X0 = multiply(multiply(X0,X1),double_divide(X2,double_divide(double_divide(double_divide(X2,X3),X1),inverse(X3)))),
inference(forward_demodulation,[status(thm)],[f14,f1163]) ).
fof(f1186,plain,
! [X0,X1,X2,X3] : inverse(multiply(multiply(X0,X1),double_divide(X2,double_divide(double_divide(double_divide(X2,X3),X1),inverse(X3))))) = multiply(identity,inverse(X0)),
inference(paramodulation,[status(thm)],[f1164,f398]) ).
fof(f1208,plain,
! [X0] : inverse(X0) = multiply(identity,inverse(X0)),
inference(forward_demodulation,[status(thm)],[f1164,f1186]) ).
fof(f1226,plain,
! [X0] : inverse(multiply(identity,X0)) = inverse(X0),
inference(backward_demodulation,[status(thm)],[f1208,f17]) ).
fof(f1279,plain,
! [X0,X1,X2] : double_divide(double_divide(double_divide(inverse(X0),X1),X2),inverse(X1)) = double_divide(double_divide(X0,X2),identity),
inference(forward_demodulation,[status(thm)],[f795,f135]) ).
fof(f1280,plain,
! [X0,X1,X2] : double_divide(double_divide(double_divide(inverse(X0),X1),X2),inverse(X1)) = inverse(double_divide(X0,X2)),
inference(forward_demodulation,[status(thm)],[f8,f1279]) ).
fof(f1281,plain,
! [X0,X1,X2] : double_divide(double_divide(double_divide(inverse(X0),X1),X2),inverse(X1)) = multiply(X2,X0),
inference(forward_demodulation,[status(thm)],[f14,f1280]) ).
fof(f1319,plain,
! [X0,X1] : X0 = double_divide(double_divide(X1,double_divide(double_divide(identity,X0),multiply(identity,X1))),identity),
inference(forward_demodulation,[status(thm)],[f795,f145]) ).
fof(f1320,plain,
! [X0,X1] : X0 = inverse(double_divide(X1,double_divide(double_divide(identity,X0),multiply(identity,X1)))),
inference(forward_demodulation,[status(thm)],[f8,f1319]) ).
fof(f1321,plain,
! [X0,X1] : X0 = multiply(double_divide(double_divide(identity,X0),multiply(identity,X1)),X1),
inference(forward_demodulation,[status(thm)],[f14,f1320]) ).
fof(f1392,plain,
! [X0] : multiply(identity,X0) = double_divide(identity,inverse(multiply(identity,X0))),
inference(paramodulation,[status(thm)],[f1048,f349]) ).
fof(f1403,plain,
! [X0] : multiply(identity,X0) = double_divide(identity,inverse(X0)),
inference(forward_demodulation,[status(thm)],[f1226,f1392]) ).
fof(f1511,plain,
! [X0] : multiply(identity,inverse(X0)) = double_divide(identity,multiply(identity,X0)),
inference(paramodulation,[status(thm)],[f16,f1403]) ).
fof(f1524,plain,
! [X0] : inverse(X0) = double_divide(identity,multiply(identity,X0)),
inference(forward_demodulation,[status(thm)],[f1208,f1511]) ).
fof(f1845,plain,
! [X0] : identity = multiply(X0,inverse(X0)),
inference(backward_demodulation,[status(thm)],[f1846,f1048]) ).
fof(f1846,plain,
! [X0,X1] : multiply(X0,X1) = multiply(multiply(identity,X0),X1),
inference(forward_demodulation,[status(thm)],[f1403,f1073]) ).
fof(f1900,plain,
! [X0] : X0 = multiply(identity,X0),
inference(paramodulation,[status(thm)],[f1845,f1062]) ).
fof(f1934,plain,
! [X0] : inverse(X0) = double_divide(identity,X0),
inference(backward_demodulation,[status(thm)],[f1900,f1524]) ).
fof(f1937,plain,
! [X0,X1] : X0 = multiply(double_divide(double_divide(identity,X0),X1),X1),
inference(backward_demodulation,[status(thm)],[f1900,f1321]) ).
fof(f1939,plain,
! [X0] : identity = double_divide(inverse(X0),X0),
inference(backward_demodulation,[status(thm)],[f1900,f25]) ).
fof(f1942,plain,
! [X0] : X0 = inverse(inverse(X0)),
inference(backward_demodulation,[status(thm)],[f1900,f16]) ).
fof(f2001,plain,
! [X0,X1] : multiply(X0,X1) = double_divide(double_divide(identity,X0),inverse(X1)),
inference(paramodulation,[status(thm)],[f1939,f1281]) ).
fof(f2009,plain,
! [X0,X1] : multiply(X0,X1) = double_divide(inverse(X0),inverse(X1)),
inference(forward_demodulation,[status(thm)],[f1934,f2001]) ).
fof(f2194,plain,
! [X0,X1] : X0 = multiply(double_divide(inverse(X0),X1),X1),
inference(forward_demodulation,[status(thm)],[f1934,f1937]) ).
fof(f2200,plain,
! [X0,X1] : inverse(X0) = multiply(double_divide(X0,X1),X1),
inference(paramodulation,[status(thm)],[f1942,f2194]) ).
fof(f2547,plain,
! [X0,X1,X2] : multiply(X0,X1) = double_divide(double_divide(multiply(X1,X2),X0),inverse(inverse(X2))),
inference(paramodulation,[status(thm)],[f2009,f1281]) ).
fof(f2564,plain,
! [X0,X1,X2] : multiply(X0,X1) = double_divide(double_divide(multiply(X1,X2),X0),X2),
inference(forward_demodulation,[status(thm)],[f1942,f2547]) ).
fof(f2915,plain,
! [X0,X1,X2] : inverse(double_divide(multiply(X0,X1),X2)) = multiply(multiply(X2,X0),X1),
inference(paramodulation,[status(thm)],[f2564,f2200]) ).
fof(f2939,plain,
! [X2,X0,X1] : multiply(X2,multiply(X0,X1)) = multiply(multiply(X2,X0),X1),
inference(forward_demodulation,[status(thm)],[f14,f2915]) ).
fof(f2940,plain,
$false,
inference(resolution,[status(thm)],[f2939,f10]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12 % Problem : GRP486-1 : TPTP v8.1.2. Released v2.6.0.
% 0.11/0.13 % Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.14/0.34 % Computer : n024.cluster.edu
% 0.14/0.34 % Model : x86_64 x86_64
% 0.14/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.34 % Memory : 8042.1875MB
% 0.14/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.34 % CPULimit : 300
% 0.14/0.34 % WCLimit : 300
% 0.14/0.34 % DateTime : Tue Apr 30 00:17:36 EDT 2024
% 0.14/0.34 % CPUTime :
% 0.14/0.35 % Drodi V3.6.0
% 0.20/0.47 % Refutation found
% 0.20/0.47 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.20/0.47 % SZS output start CNFRefutation for theBenchmark
% See solution above
% 0.20/0.50 % Elapsed time: 0.140445 seconds
% 0.20/0.50 % CPU time: 1.032925 seconds
% 0.20/0.50 % Total memory used: 33.183 MB
% 0.20/0.50 % Net memory used: 30.978 MB
%------------------------------------------------------------------------------