TSTP Solution File: GRP100-1 by Drodi---3.5.1
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Drodi---3.5.1
% Problem : GRP100-1 : TPTP v8.1.2. Bugfixed v2.7.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% Computer : n023.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 12:10:12 EDT 2023
% Result : Unsatisfiable 0.19s 0.45s
% Output : CNFRefutation 0.19s
% Verified :
% SZS Type : Refutation
% Derivation depth : 39
% Number of leaves : 9
% Syntax : Number of formulae : 138 ( 119 unt; 0 def)
% Number of atoms : 163 ( 134 equ)
% Maximal formula atoms : 4 ( 1 avg)
% Number of connectives : 45 ( 20 ~; 21 |; 0 &)
% ( 4 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 7 ( 3 avg)
% Maximal term depth : 8 ( 2 avg)
% Number of predicates : 6 ( 4 usr; 5 prp; 0-2 aty)
% Number of functors : 11 ( 11 usr; 8 con; 0-2 aty)
% Number of variables : 276 (; 276 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
! [X,Y,Z] : double_divide(double_divide(X,double_divide(double_divide(Y,double_divide(X,Z)),double_divide(Z,identity))),double_divide(identity,identity)) = Y,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f2,axiom,
! [X,Y] : multiply(X,Y) = double_divide(double_divide(Y,X),identity),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f3,axiom,
! [X] : inverse(X) = double_divide(X,identity),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f4,axiom,
! [X] : identity = double_divide(X,inverse(X)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f5,negated_conjecture,
( multiply(inverse(a1),a1) != identity
| multiply(identity,a2) != a2
| multiply(multiply(a3,b3),c3) != multiply(a3,multiply(b3,c3))
| multiply(a4,b4) != multiply(b4,a4) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f6,plain,
! [X0,X1,X2] : double_divide(double_divide(X0,double_divide(double_divide(X1,double_divide(X0,X2)),double_divide(X2,identity))),double_divide(identity,identity)) = X1,
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(inverse(a1),a1) != identity
| multiply(identity,a2) != a2
| multiply(multiply(a3,b3),c3) != multiply(a3,multiply(b3,c3))
| multiply(a4,b4) != multiply(b4,a4) ),
inference(cnf_transformation,[status(esa)],[f5]) ).
fof(f11,plain,
( spl0_0
<=> multiply(inverse(a1),a1) = identity ),
introduced(split_symbol_definition) ).
fof(f13,plain,
( multiply(inverse(a1),a1) != identity
| spl0_0 ),
inference(component_clause,[status(thm)],[f11]) ).
fof(f14,plain,
( spl0_1
<=> multiply(identity,a2) = a2 ),
introduced(split_symbol_definition) ).
fof(f16,plain,
( multiply(identity,a2) != a2
| spl0_1 ),
inference(component_clause,[status(thm)],[f14]) ).
fof(f17,plain,
( spl0_2
<=> multiply(multiply(a3,b3),c3) = multiply(a3,multiply(b3,c3)) ),
introduced(split_symbol_definition) ).
fof(f19,plain,
( multiply(multiply(a3,b3),c3) != multiply(a3,multiply(b3,c3))
| spl0_2 ),
inference(component_clause,[status(thm)],[f17]) ).
fof(f20,plain,
( spl0_3
<=> multiply(a4,b4) = multiply(b4,a4) ),
introduced(split_symbol_definition) ).
fof(f22,plain,
( multiply(a4,b4) != multiply(b4,a4)
| spl0_3 ),
inference(component_clause,[status(thm)],[f20]) ).
fof(f23,plain,
( ~ spl0_0
| ~ spl0_1
| ~ spl0_2
| ~ spl0_3 ),
inference(split_clause,[status(thm)],[f10,f11,f14,f17,f20]) ).
fof(f24,plain,
! [X0,X1,X2] : double_divide(double_divide(X0,double_divide(double_divide(X1,double_divide(X0,X2)),double_divide(X2,identity))),inverse(identity)) = X1,
inference(backward_demodulation,[status(thm)],[f8,f6]) ).
fof(f25,plain,
! [X0,X1,X2] : double_divide(double_divide(X0,double_divide(double_divide(X1,double_divide(X0,X2)),inverse(X2))),inverse(identity)) = X1,
inference(forward_demodulation,[status(thm)],[f8,f24]) ).
fof(f26,plain,
! [X0,X1] : multiply(X0,X1) = inverse(double_divide(X1,X0)),
inference(backward_demodulation,[status(thm)],[f8,f7]) ).
fof(f28,plain,
! [X0] : multiply(identity,X0) = inverse(inverse(X0)),
inference(paramodulation,[status(thm)],[f8,f26]) ).
fof(f29,plain,
! [X0,X1] : identity = double_divide(double_divide(X0,X1),multiply(X1,X0)),
inference(paramodulation,[status(thm)],[f26,f9]) ).
fof(f31,plain,
! [X0] : multiply(identity,inverse(X0)) = inverse(multiply(identity,X0)),
inference(paramodulation,[status(thm)],[f28,f28]) ).
fof(f34,plain,
! [X0] : identity = double_divide(inverse(X0),multiply(identity,X0)),
inference(paramodulation,[status(thm)],[f28,f9]) ).
fof(f35,plain,
! [X0,X1,X2,X3] : double_divide(double_divide(double_divide(X0,double_divide(double_divide(X1,double_divide(X0,X2)),inverse(X2))),double_divide(double_divide(X3,X1),inverse(inverse(identity)))),inverse(identity)) = X3,
inference(paramodulation,[status(thm)],[f25,f25]) ).
fof(f36,plain,
! [X0,X1,X2,X3] : double_divide(double_divide(double_divide(X0,double_divide(double_divide(X1,double_divide(X0,X2)),inverse(X2))),double_divide(double_divide(X3,X1),multiply(identity,identity))),inverse(identity)) = X3,
inference(forward_demodulation,[status(thm)],[f28,f35]) ).
fof(f37,plain,
! [X0,X1] : double_divide(double_divide(X0,double_divide(double_divide(X1,identity),inverse(inverse(X0)))),inverse(identity)) = X1,
inference(paramodulation,[status(thm)],[f9,f25]) ).
fof(f38,plain,
! [X0,X1] : double_divide(double_divide(X0,double_divide(inverse(X1),inverse(inverse(X0)))),inverse(identity)) = X1,
inference(forward_demodulation,[status(thm)],[f8,f37]) ).
fof(f39,plain,
! [X0,X1] : double_divide(double_divide(X0,double_divide(inverse(X1),multiply(identity,X0))),inverse(identity)) = X1,
inference(forward_demodulation,[status(thm)],[f28,f38]) ).
fof(f40,plain,
! [X0,X1] : double_divide(double_divide(X0,double_divide(double_divide(X1,inverse(X0)),inverse(identity))),inverse(identity)) = X1,
inference(paramodulation,[status(thm)],[f8,f25]) ).
fof(f41,plain,
! [X0,X1,X2] : double_divide(double_divide(X0,double_divide(double_divide(X1,double_divide(X0,inverse(X2))),multiply(identity,X2))),inverse(identity)) = X1,
inference(paramodulation,[status(thm)],[f28,f25]) ).
fof(f42,plain,
! [X0,X1,X2,X3] : double_divide(double_divide(X0,double_divide(double_divide(X1,double_divide(X0,double_divide(X2,X3))),multiply(X3,X2))),inverse(identity)) = X1,
inference(paramodulation,[status(thm)],[f26,f25]) ).
fof(f142,plain,
! [X0] : double_divide(double_divide(X0,identity),inverse(identity)) = X0,
inference(paramodulation,[status(thm)],[f34,f39]) ).
fof(f143,plain,
! [X0] : double_divide(inverse(X0),inverse(identity)) = X0,
inference(forward_demodulation,[status(thm)],[f8,f142]) ).
fof(f167,plain,
! [X0] : multiply(inverse(identity),inverse(X0)) = inverse(X0),
inference(paramodulation,[status(thm)],[f143,f26]) ).
fof(f194,plain,
! [X0,X1,X2,X3] : double_divide(double_divide(double_divide(X0,double_divide(double_divide(X1,double_divide(X0,multiply(identity,X2))),multiply(identity,inverse(X2)))),double_divide(double_divide(X3,X1),multiply(identity,identity))),inverse(identity)) = X3,
inference(paramodulation,[status(thm)],[f31,f36]) ).
fof(f197,plain,
! [X0,X1] : double_divide(double_divide(double_divide(X0,double_divide(double_divide(identity,double_divide(X0,X1)),inverse(X1))),identity),inverse(identity)) = identity,
inference(paramodulation,[status(thm)],[f29,f36]) ).
fof(f198,plain,
! [X0,X1] : double_divide(inverse(double_divide(X0,double_divide(double_divide(identity,double_divide(X0,X1)),inverse(X1)))),inverse(identity)) = identity,
inference(forward_demodulation,[status(thm)],[f8,f197]) ).
fof(f199,plain,
! [X0,X1] : double_divide(X0,double_divide(double_divide(identity,double_divide(X0,X1)),inverse(X1))) = identity,
inference(forward_demodulation,[status(thm)],[f143,f198]) ).
fof(f201,plain,
! [X0,X1,X2] : double_divide(double_divide(double_divide(X0,double_divide(double_divide(inverse(identity),double_divide(X0,X1)),inverse(X1))),double_divide(X2,multiply(identity,identity))),inverse(identity)) = inverse(X2),
inference(paramodulation,[status(thm)],[f143,f36]) ).
fof(f203,plain,
! [X0,X1,X2,X3,X4,X5] : double_divide(double_divide(double_divide(X0,double_divide(double_divide(inverse(identity),double_divide(X0,X1)),inverse(X1))),double_divide(X2,multiply(identity,identity))),inverse(identity)) = double_divide(double_divide(X3,double_divide(double_divide(X4,double_divide(X3,X5)),inverse(X5))),double_divide(double_divide(X2,X4),multiply(identity,identity))),
inference(paramodulation,[status(thm)],[f36,f36]) ).
fof(f204,plain,
! [X0,X1,X2,X3] : inverse(X0) = double_divide(double_divide(X1,double_divide(double_divide(X2,double_divide(X1,X3)),inverse(X3))),double_divide(double_divide(X0,X2),multiply(identity,identity))),
inference(forward_demodulation,[status(thm)],[f201,f203]) ).
fof(f207,plain,
! [X0,X1,X2,X3,X4] : double_divide(double_divide(double_divide(X0,double_divide(double_divide(inverse(identity),double_divide(X0,X1)),inverse(X1))),double_divide(X2,multiply(identity,identity))),inverse(identity)) = double_divide(X3,double_divide(double_divide(X2,double_divide(X3,X4)),inverse(X4))),
inference(paramodulation,[status(thm)],[f25,f36]) ).
fof(f208,plain,
! [X0,X1,X2] : inverse(X0) = double_divide(X1,double_divide(double_divide(X0,double_divide(X1,X2)),inverse(X2))),
inference(forward_demodulation,[status(thm)],[f201,f207]) ).
fof(f209,plain,
! [X0,X1,X2,X3] : double_divide(double_divide(double_divide(X0,double_divide(double_divide(multiply(X1,X2),double_divide(X0,X3)),inverse(X3))),double_divide(identity,multiply(identity,identity))),inverse(identity)) = double_divide(X2,X1),
inference(paramodulation,[status(thm)],[f29,f36]) ).
fof(f210,plain,
! [X0,X1] : double_divide(double_divide(inverse(multiply(X0,X1)),double_divide(identity,multiply(identity,identity))),inverse(identity)) = double_divide(X1,X0),
inference(forward_demodulation,[status(thm)],[f208,f209]) ).
fof(f243,plain,
inverse(identity) = identity,
inference(backward_demodulation,[status(thm)],[f208,f199]) ).
fof(f244,plain,
! [X0,X1] : inverse(X0) = double_divide(inverse(X1),double_divide(double_divide(X0,X1),multiply(identity,identity))),
inference(backward_demodulation,[status(thm)],[f208,f204]) ).
fof(f246,plain,
! [X0] : double_divide(inverse(X0),identity) = X0,
inference(backward_demodulation,[status(thm)],[f243,f143]) ).
fof(f247,plain,
! [X0] : inverse(inverse(X0)) = X0,
inference(forward_demodulation,[status(thm)],[f8,f246]) ).
fof(f248,plain,
! [X0] : multiply(identity,X0) = X0,
inference(forward_demodulation,[status(thm)],[f28,f247]) ).
fof(f270,plain,
! [X0,X1] : double_divide(double_divide(inverse(multiply(X0,X1)),double_divide(identity,multiply(identity,identity))),identity) = double_divide(X1,X0),
inference(backward_demodulation,[status(thm)],[f243,f210]) ).
fof(f271,plain,
! [X0,X1] : inverse(double_divide(inverse(multiply(X0,X1)),double_divide(identity,multiply(identity,identity)))) = double_divide(X1,X0),
inference(forward_demodulation,[status(thm)],[f8,f270]) ).
fof(f272,plain,
! [X0,X1] : multiply(double_divide(identity,multiply(identity,identity)),inverse(multiply(X0,X1))) = double_divide(X1,X0),
inference(forward_demodulation,[status(thm)],[f26,f271]) ).
fof(f273,plain,
! [X0,X1] : multiply(double_divide(identity,identity),inverse(multiply(X0,X1))) = double_divide(X1,X0),
inference(forward_demodulation,[status(thm)],[f248,f272]) ).
fof(f274,plain,
! [X0,X1] : multiply(inverse(identity),inverse(multiply(X0,X1))) = double_divide(X1,X0),
inference(forward_demodulation,[status(thm)],[f8,f273]) ).
fof(f275,plain,
! [X0,X1] : inverse(multiply(X0,X1)) = double_divide(X1,X0),
inference(forward_demodulation,[status(thm)],[f167,f274]) ).
fof(f289,plain,
! [X0,X1,X2,X3] : double_divide(double_divide(double_divide(X0,double_divide(double_divide(X1,double_divide(X0,multiply(identity,X2))),multiply(identity,inverse(X2)))),double_divide(double_divide(X3,X1),multiply(identity,identity))),identity) = X3,
inference(backward_demodulation,[status(thm)],[f243,f194]) ).
fof(f290,plain,
! [X0,X1,X2,X3] : inverse(double_divide(double_divide(X0,double_divide(double_divide(X1,double_divide(X0,multiply(identity,X2))),multiply(identity,inverse(X2)))),double_divide(double_divide(X3,X1),multiply(identity,identity)))) = X3,
inference(forward_demodulation,[status(thm)],[f8,f289]) ).
fof(f291,plain,
! [X0,X1,X2,X3] : multiply(double_divide(double_divide(X0,X1),multiply(identity,identity)),double_divide(X2,double_divide(double_divide(X1,double_divide(X2,multiply(identity,X3))),multiply(identity,inverse(X3))))) = X0,
inference(forward_demodulation,[status(thm)],[f26,f290]) ).
fof(f292,plain,
! [X0,X1,X2,X3] : multiply(double_divide(double_divide(X0,X1),identity),double_divide(X2,double_divide(double_divide(X1,double_divide(X2,multiply(identity,X3))),multiply(identity,inverse(X3))))) = X0,
inference(forward_demodulation,[status(thm)],[f248,f291]) ).
fof(f293,plain,
! [X0,X1,X2,X3] : multiply(inverse(double_divide(X0,X1)),double_divide(X2,double_divide(double_divide(X1,double_divide(X2,multiply(identity,X3))),multiply(identity,inverse(X3))))) = X0,
inference(forward_demodulation,[status(thm)],[f8,f292]) ).
fof(f294,plain,
! [X0,X1,X2,X3] : multiply(multiply(X0,X1),double_divide(X2,double_divide(double_divide(X0,double_divide(X2,multiply(identity,X3))),multiply(identity,inverse(X3))))) = X1,
inference(forward_demodulation,[status(thm)],[f26,f293]) ).
fof(f295,plain,
! [X0,X1,X2,X3] : multiply(multiply(X0,X1),double_divide(X2,double_divide(double_divide(X0,double_divide(X2,X3)),multiply(identity,inverse(X3))))) = X1,
inference(forward_demodulation,[status(thm)],[f248,f294]) ).
fof(f296,plain,
! [X0,X1,X2,X3] : multiply(multiply(X0,X1),double_divide(X2,double_divide(double_divide(X0,double_divide(X2,X3)),inverse(X3)))) = X1,
inference(forward_demodulation,[status(thm)],[f248,f295]) ).
fof(f297,plain,
! [X0,X1] : multiply(multiply(X0,X1),inverse(X0)) = X1,
inference(forward_demodulation,[status(thm)],[f208,f296]) ).
fof(f347,plain,
! [X0,X1,X2,X3] : double_divide(double_divide(X0,double_divide(double_divide(X1,double_divide(X0,double_divide(X2,X3))),multiply(X3,X2))),identity) = X1,
inference(backward_demodulation,[status(thm)],[f243,f42]) ).
fof(f348,plain,
! [X0,X1,X2,X3] : inverse(double_divide(X0,double_divide(double_divide(X1,double_divide(X0,double_divide(X2,X3))),multiply(X3,X2)))) = X1,
inference(forward_demodulation,[status(thm)],[f8,f347]) ).
fof(f349,plain,
! [X0,X1,X2,X3] : multiply(double_divide(double_divide(X0,double_divide(X1,double_divide(X2,X3))),multiply(X3,X2)),X1) = X0,
inference(forward_demodulation,[status(thm)],[f26,f348]) ).
fof(f350,plain,
! [X0,X1,X2] : double_divide(double_divide(X0,double_divide(double_divide(X1,double_divide(X0,inverse(X2))),multiply(identity,X2))),identity) = X1,
inference(backward_demodulation,[status(thm)],[f243,f41]) ).
fof(f351,plain,
! [X0,X1,X2] : inverse(double_divide(X0,double_divide(double_divide(X1,double_divide(X0,inverse(X2))),multiply(identity,X2)))) = X1,
inference(forward_demodulation,[status(thm)],[f8,f350]) ).
fof(f352,plain,
! [X0,X1,X2] : multiply(double_divide(double_divide(X0,double_divide(X1,inverse(X2))),multiply(identity,X2)),X1) = X0,
inference(forward_demodulation,[status(thm)],[f26,f351]) ).
fof(f353,plain,
! [X0,X1,X2] : multiply(double_divide(double_divide(X0,double_divide(X1,inverse(X2))),X2),X1) = X0,
inference(forward_demodulation,[status(thm)],[f248,f352]) ).
fof(f354,plain,
! [X0,X1] : double_divide(double_divide(X0,double_divide(double_divide(X1,inverse(X0)),inverse(identity))),identity) = X1,
inference(backward_demodulation,[status(thm)],[f243,f40]) ).
fof(f355,plain,
! [X0,X1] : inverse(double_divide(X0,double_divide(double_divide(X1,inverse(X0)),inverse(identity)))) = X1,
inference(forward_demodulation,[status(thm)],[f8,f354]) ).
fof(f356,plain,
! [X0,X1] : multiply(double_divide(double_divide(X0,inverse(X1)),inverse(identity)),X1) = X0,
inference(forward_demodulation,[status(thm)],[f26,f355]) ).
fof(f357,plain,
! [X0,X1] : multiply(double_divide(double_divide(X0,inverse(X1)),identity),X1) = X0,
inference(forward_demodulation,[status(thm)],[f243,f356]) ).
fof(f358,plain,
! [X0,X1] : multiply(inverse(double_divide(X0,inverse(X1))),X1) = X0,
inference(forward_demodulation,[status(thm)],[f8,f357]) ).
fof(f359,plain,
! [X0,X1] : multiply(multiply(inverse(X0),X1),X0) = X1,
inference(forward_demodulation,[status(thm)],[f26,f358]) ).
fof(f365,plain,
! [X0] : identity = double_divide(inverse(X0),X0),
inference(backward_demodulation,[status(thm)],[f248,f34]) ).
fof(f372,plain,
! [X0,X1] : inverse(X0) = double_divide(inverse(X1),double_divide(double_divide(X0,X1),identity)),
inference(backward_demodulation,[status(thm)],[f248,f244]) ).
fof(f373,plain,
! [X0,X1] : inverse(X0) = double_divide(inverse(X1),inverse(double_divide(X0,X1))),
inference(forward_demodulation,[status(thm)],[f8,f372]) ).
fof(f374,plain,
! [X0,X1] : inverse(X0) = double_divide(inverse(X1),multiply(X1,X0)),
inference(forward_demodulation,[status(thm)],[f26,f373]) ).
fof(f406,plain,
! [X0] : multiply(X0,inverse(X0)) = inverse(identity),
inference(paramodulation,[status(thm)],[f365,f26]) ).
fof(f407,plain,
! [X0] : multiply(X0,inverse(X0)) = identity,
inference(forward_demodulation,[status(thm)],[f243,f406]) ).
fof(f415,plain,
! [X0,X1] : multiply(double_divide(X0,X1),multiply(X1,X0)) = identity,
inference(paramodulation,[status(thm)],[f26,f407]) ).
fof(f433,plain,
! [X0,X1,X2,X3] : inverse(X0) = double_divide(X1,double_divide(double_divide(X0,double_divide(X1,double_divide(X2,X3))),multiply(X3,X2))),
inference(paramodulation,[status(thm)],[f349,f275]) ).
fof(f449,plain,
! [X0,X1] : multiply(X0,inverse(multiply(X1,X0))) = inverse(X1),
inference(paramodulation,[status(thm)],[f297,f297]) ).
fof(f450,plain,
! [X0,X1] : multiply(X0,double_divide(X0,X1)) = inverse(X1),
inference(forward_demodulation,[status(thm)],[f275,f449]) ).
fof(f452,plain,
! [X0] : multiply(X0,inverse(identity)) = X0,
inference(paramodulation,[status(thm)],[f248,f297]) ).
fof(f453,plain,
! [X0] : multiply(X0,identity) = X0,
inference(forward_demodulation,[status(thm)],[f243,f452]) ).
fof(f457,plain,
! [X0,X1,X2] : multiply(multiply(multiply(X0,X1),X2),double_divide(X1,X0)) = X2,
inference(paramodulation,[status(thm)],[f275,f297]) ).
fof(f469,plain,
! [X0] : inverse(X0) = double_divide(identity,X0),
inference(paramodulation,[status(thm)],[f453,f275]) ).
fof(f490,plain,
! [X0] : multiply(X0,identity) = inverse(inverse(X0)),
inference(paramodulation,[status(thm)],[f469,f26]) ).
fof(f491,plain,
! [X0] : X0 = inverse(inverse(X0)),
inference(forward_demodulation,[status(thm)],[f453,f490]) ).
fof(f551,plain,
! [X0,X1] : multiply(inverse(X0),X1) = double_divide(inverse(X1),X0),
inference(paramodulation,[status(thm)],[f450,f359]) ).
fof(f555,plain,
! [X0,X1] : inverse(inverse(X0)) = double_divide(double_divide(X1,X0),X1),
inference(paramodulation,[status(thm)],[f450,f275]) ).
fof(f556,plain,
! [X0,X1] : X0 = double_divide(double_divide(X1,X0),X1),
inference(forward_demodulation,[status(thm)],[f491,f555]) ).
fof(f572,plain,
! [X0,X1] : X0 = double_divide(X1,double_divide(X0,X1)),
inference(paramodulation,[status(thm)],[f556,f556]) ).
fof(f618,plain,
! [X0,X1] : inverse(inverse(X0)) = double_divide(X1,double_divide(X1,X0)),
inference(paramodulation,[status(thm)],[f556,f208]) ).
fof(f619,plain,
! [X0,X1] : X0 = double_divide(X1,double_divide(X1,X0)),
inference(forward_demodulation,[status(thm)],[f491,f618]) ).
fof(f626,plain,
! [X0,X1,X2] : inverse(double_divide(double_divide(X0,X1),X2)) = double_divide(X0,double_divide(X2,inverse(X1))),
inference(paramodulation,[status(thm)],[f556,f208]) ).
fof(f627,plain,
! [X0,X1,X2] : multiply(X0,double_divide(X1,X2)) = double_divide(X1,double_divide(X0,inverse(X2))),
inference(forward_demodulation,[status(thm)],[f26,f626]) ).
fof(f698,plain,
! [X0,X1,X2] : multiply(double_divide(multiply(X0,double_divide(X1,X2)),X2),X0) = X1,
inference(backward_demodulation,[status(thm)],[f627,f353]) ).
fof(f717,plain,
! [X0,X1] : inverse(double_divide(X0,X1)) = double_divide(inverse(X0),inverse(X1)),
inference(paramodulation,[status(thm)],[f450,f374]) ).
fof(f718,plain,
! [X0,X1] : multiply(X0,X1) = double_divide(inverse(X1),inverse(X0)),
inference(forward_demodulation,[status(thm)],[f26,f717]) ).
fof(f749,plain,
! [X0,X1] : multiply(double_divide(multiply(X0,identity),X1),X0) = inverse(X1),
inference(paramodulation,[status(thm)],[f365,f698]) ).
fof(f750,plain,
! [X0,X1] : multiply(double_divide(X0,X1),X0) = inverse(X1),
inference(forward_demodulation,[status(thm)],[f453,f749]) ).
fof(f767,plain,
! [X0,X1,X2] : multiply(X0,inverse(double_divide(multiply(X1,double_divide(X0,X2)),X2))) = X1,
inference(paramodulation,[status(thm)],[f698,f297]) ).
fof(f768,plain,
! [X0,X1,X2] : multiply(X0,multiply(X1,multiply(X2,double_divide(X0,X1)))) = X2,
inference(forward_demodulation,[status(thm)],[f26,f767]) ).
fof(f778,plain,
! [X0,X1] : multiply(X0,X1) = double_divide(inverse(X0),inverse(X1)),
inference(paramodulation,[status(thm)],[f374,f619]) ).
fof(f779,plain,
! [X0,X1] : multiply(X0,X1) = multiply(X1,X0),
inference(forward_demodulation,[status(thm)],[f718,f778]) ).
fof(f785,plain,
! [X0,X1] : double_divide(X0,X1) = double_divide(X1,X0),
inference(paramodulation,[status(thm)],[f572,f619]) ).
fof(f797,plain,
( $false
| spl0_3 ),
inference(backward_subsumption_resolution,[status(thm)],[f22,f779]) ).
fof(f798,plain,
spl0_3,
inference(contradiction_clause,[status(thm)],[f797]) ).
fof(f799,plain,
( multiply(c3,multiply(a3,b3)) != multiply(a3,multiply(b3,c3))
| spl0_2 ),
inference(forward_demodulation,[status(thm)],[f779,f19]) ).
fof(f1126,plain,
! [X0,X1] : multiply(double_divide(X0,X1),multiply(X0,X1)) = identity,
inference(paramodulation,[status(thm)],[f785,f415]) ).
fof(f1638,plain,
! [X0,X1,X2,X3] : inverse(double_divide(double_divide(X0,double_divide(X1,X2)),X3)) = double_divide(X0,double_divide(X3,multiply(X2,X1))),
inference(paramodulation,[status(thm)],[f556,f433]) ).
fof(f1639,plain,
! [X0,X1,X2,X3] : multiply(X0,double_divide(X1,double_divide(X2,X3))) = double_divide(X1,double_divide(X0,multiply(X3,X2))),
inference(forward_demodulation,[status(thm)],[f26,f1638]) ).
fof(f2256,plain,
! [X0,X1,X2] : multiply(multiply(identity,X0),double_divide(multiply(X1,X2),double_divide(X1,X2))) = X0,
inference(paramodulation,[status(thm)],[f1126,f457]) ).
fof(f2257,plain,
! [X0,X1,X2] : double_divide(multiply(X0,X1),double_divide(multiply(identity,X2),multiply(X1,X0))) = X2,
inference(forward_demodulation,[status(thm)],[f1639,f2256]) ).
fof(f2258,plain,
! [X0,X1,X2] : double_divide(multiply(X0,X1),double_divide(X2,multiply(X1,X0))) = X2,
inference(forward_demodulation,[status(thm)],[f248,f2257]) ).
fof(f2742,plain,
! [X0,X1,X2] : multiply(X0,multiply(X1,X2)) = multiply(multiply(X1,X0),X2),
inference(paramodulation,[status(thm)],[f457,f768]) ).
fof(f3105,plain,
! [X0,X1,X2] : multiply(X0,multiply(X1,X2)) = inverse(double_divide(X0,multiply(X2,X1))),
inference(paramodulation,[status(thm)],[f2258,f750]) ).
fof(f3106,plain,
! [X0,X1,X2] : multiply(X0,multiply(X1,X2)) = multiply(multiply(X2,X1),X0),
inference(forward_demodulation,[status(thm)],[f26,f3105]) ).
fof(f3107,plain,
! [X0,X1,X2] : multiply(X0,multiply(X1,X2)) = multiply(X1,multiply(X2,X0)),
inference(forward_demodulation,[status(thm)],[f2742,f3106]) ).
fof(f3142,plain,
( $false
| spl0_2 ),
inference(backward_subsumption_resolution,[status(thm)],[f799,f3107]) ).
fof(f3143,plain,
spl0_2,
inference(contradiction_clause,[status(thm)],[f3142]) ).
fof(f3144,plain,
( double_divide(inverse(a1),a1) != identity
| spl0_0 ),
inference(forward_demodulation,[status(thm)],[f551,f13]) ).
fof(f3145,plain,
( identity != identity
| spl0_0 ),
inference(forward_demodulation,[status(thm)],[f365,f3144]) ).
fof(f3146,plain,
( $false
| spl0_0 ),
inference(trivial_equality_resolution,[status(esa)],[f3145]) ).
fof(f3147,plain,
spl0_0,
inference(contradiction_clause,[status(thm)],[f3146]) ).
fof(f3150,plain,
( a2 != a2
| spl0_1 ),
inference(forward_demodulation,[status(thm)],[f248,f16]) ).
fof(f3151,plain,
( $false
| spl0_1 ),
inference(trivial_equality_resolution,[status(esa)],[f3150]) ).
fof(f3152,plain,
spl0_1,
inference(contradiction_clause,[status(thm)],[f3151]) ).
fof(f3153,plain,
$false,
inference(sat_refutation,[status(thm)],[f23,f798,f3143,f3147,f3152]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.04/0.12 % Problem : GRP100-1 : TPTP v8.1.2. Bugfixed v2.7.0.
% 0.04/0.13 % Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.12/0.34 % Computer : n023.cluster.edu
% 0.12/0.34 % Model : x86_64 x86_64
% 0.12/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.34 % Memory : 8042.1875MB
% 0.12/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.34 % CPULimit : 300
% 0.12/0.34 % WCLimit : 300
% 0.12/0.34 % DateTime : Tue May 30 11:51:53 EDT 2023
% 0.12/0.34 % CPUTime :
% 0.12/0.35 % 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: 0.128030 seconds
% 0.19/0.47 % CPU time: 0.588067 seconds
% 0.19/0.47 % Memory used: 41.470 MB
%------------------------------------------------------------------------------