TSTP Solution File: GRP110-1 by Drodi---3.6.0
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%------------------------------------------------------------------------------
% File : Drodi---3.6.0
% Problem : GRP110-1 : TPTP v8.1.2. Bugfixed v2.7.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% Computer : n012.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 20:19:15 EDT 2024
% Result : Unsatisfiable 1.49s 0.60s
% Output : CNFRefutation 1.49s
% Verified :
% SZS Type : Refutation
% Derivation depth : 38
% Number of leaves : 7
% Syntax : Number of formulae : 203 ( 181 unt; 0 def)
% Number of atoms : 231 ( 199 equ)
% Maximal formula atoms : 4 ( 1 avg)
% Number of connectives : 51 ( 23 ~; 24 |; 0 &)
% ( 4 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 7 ( 5 avg)
% Maximal term depth : 9 ( 2 avg)
% Number of predicates : 6 ( 4 usr; 5 prp; 0-2 aty)
% Number of functors : 12 ( 12 usr; 9 con; 0-2 aty)
% Number of variables : 702 ( 702 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
! [X,Y,Z] : inverse(double_divide(inverse(double_divide(inverse(double_divide(X,Y)),Z)),double_divide(X,Z))) = Y,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f2,axiom,
! [X,Y] : multiply(X,Y) = inverse(double_divide(Y,X)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f3,negated_conjecture,
( multiply(inverse(a1),a1) != multiply(inverse(b1),b1)
| multiply(multiply(inverse(b2),b2),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(f4,plain,
! [X0,X1,X2] : inverse(double_divide(inverse(double_divide(inverse(double_divide(X0,X1)),X2)),double_divide(X0,X2))) = X1,
inference(cnf_transformation,[status(esa)],[f1]) ).
fof(f5,plain,
! [X0,X1] : multiply(X0,X1) = inverse(double_divide(X1,X0)),
inference(cnf_transformation,[status(esa)],[f2]) ).
fof(f6,plain,
( multiply(inverse(a1),a1) != multiply(inverse(b1),b1)
| multiply(multiply(inverse(b2),b2),a2) != a2
| multiply(multiply(a3,b3),c3) != multiply(a3,multiply(b3,c3))
| multiply(a4,b4) != multiply(b4,a4) ),
inference(cnf_transformation,[status(esa)],[f3]) ).
fof(f7,plain,
( spl0_0
<=> multiply(inverse(a1),a1) = multiply(inverse(b1),b1) ),
introduced(split_symbol_definition) ).
fof(f9,plain,
( multiply(inverse(a1),a1) != multiply(inverse(b1),b1)
| spl0_0 ),
inference(component_clause,[status(thm)],[f7]) ).
fof(f10,plain,
( spl0_1
<=> multiply(multiply(inverse(b2),b2),a2) = a2 ),
introduced(split_symbol_definition) ).
fof(f12,plain,
( multiply(multiply(inverse(b2),b2),a2) != a2
| spl0_1 ),
inference(component_clause,[status(thm)],[f10]) ).
fof(f13,plain,
( spl0_2
<=> multiply(multiply(a3,b3),c3) = multiply(a3,multiply(b3,c3)) ),
introduced(split_symbol_definition) ).
fof(f15,plain,
( multiply(multiply(a3,b3),c3) != multiply(a3,multiply(b3,c3))
| spl0_2 ),
inference(component_clause,[status(thm)],[f13]) ).
fof(f16,plain,
( spl0_3
<=> multiply(a4,b4) = multiply(b4,a4) ),
introduced(split_symbol_definition) ).
fof(f18,plain,
( multiply(a4,b4) != multiply(b4,a4)
| spl0_3 ),
inference(component_clause,[status(thm)],[f16]) ).
fof(f19,plain,
( ~ spl0_0
| ~ spl0_1
| ~ spl0_2
| ~ spl0_3 ),
inference(split_clause,[status(thm)],[f6,f7,f10,f13,f16]) ).
fof(f20,plain,
! [X0,X1,X2] : multiply(double_divide(X0,X1),inverse(double_divide(inverse(double_divide(X0,X2)),X1))) = X2,
inference(backward_demodulation,[status(thm)],[f5,f4]) ).
fof(f21,plain,
! [X0,X1,X2] : multiply(double_divide(X0,X1),multiply(X1,inverse(double_divide(X0,X2)))) = X2,
inference(forward_demodulation,[status(thm)],[f5,f20]) ).
fof(f22,plain,
! [X0,X1,X2] : multiply(double_divide(X0,X1),multiply(X1,multiply(X2,X0))) = X2,
inference(forward_demodulation,[status(thm)],[f5,f21]) ).
fof(f23,plain,
! [X0,X1,X2] : multiply(double_divide(multiply(X0,X1),double_divide(X1,X2)),X0) = X2,
inference(paramodulation,[status(thm)],[f22,f22]) ).
fof(f24,plain,
! [X0,X1,X2,X3] : multiply(double_divide(multiply(X0,multiply(X1,X2)),X3),multiply(X3,X1)) = double_divide(X2,X0),
inference(paramodulation,[status(thm)],[f22,f22]) ).
fof(f29,plain,
! [X0,X1,X2] : X0 = double_divide(X1,multiply(double_divide(multiply(X2,X1),X0),X2)),
inference(paramodulation,[status(thm)],[f23,f24]) ).
fof(f30,plain,
! [X0,X1,X2,X3,X4] : multiply(double_divide(double_divide(X0,X1),X2),multiply(X2,X3)) = double_divide(X4,double_divide(multiply(X1,multiply(X4,X0)),X3)),
inference(paramodulation,[status(thm)],[f24,f24]) ).
fof(f31,plain,
! [X0,X1,X2,X3,X4] : multiply(double_divide(X0,X1),multiply(X1,X2)) = double_divide(X3,double_divide(multiply(multiply(X2,X3),X4),double_divide(X4,X0))),
inference(paramodulation,[status(thm)],[f23,f24]) ).
fof(f35,plain,
! [X0,X1,X2,X3,X4] : multiply(double_divide(multiply(X0,X1),X2),multiply(X2,double_divide(X3,X4))) = double_divide(multiply(X4,multiply(X1,X3)),X0),
inference(paramodulation,[status(thm)],[f22,f24]) ).
fof(f36,plain,
! [X0,X1,X2,X3,X4,X5] : multiply(double_divide(multiply(X0,multiply(multiply(X1,X2),X3)),double_divide(multiply(X4,multiply(X2,X5)),X1)),double_divide(X5,X4)) = double_divide(X3,X0),
inference(paramodulation,[status(thm)],[f24,f24]) ).
fof(f55,plain,
! [X0,X1,X2,X3] : multiply(double_divide(multiply(X0,multiply(X1,X2)),X3),X0) = double_divide(X2,multiply(X3,X1)),
inference(paramodulation,[status(thm)],[f29,f29]) ).
fof(f64,plain,
! [X0,X1,X2,X3] : multiply(double_divide(multiply(X0,X1),X2),X0) = multiply(double_divide(multiply(X3,X1),X2),X3),
inference(paramodulation,[status(thm)],[f29,f23]) ).
fof(f65,plain,
! [X0,X1,X2] : multiply(multiply(double_divide(multiply(X0,X1),X2),X0),X1) = inverse(X2),
inference(paramodulation,[status(thm)],[f29,f5]) ).
fof(f66,plain,
! [X0,X1,X2,X3] : multiply(X0,multiply(multiply(double_divide(multiply(X1,X2),X0),X1),multiply(X3,X2))) = X3,
inference(paramodulation,[status(thm)],[f29,f22]) ).
fof(f67,plain,
! [X0,X1,X2] : multiply(double_divide(X0,multiply(X1,X2)),multiply(X2,X0)) = inverse(X1),
inference(paramodulation,[status(thm)],[f24,f65]) ).
fof(f76,plain,
! [X0,X1,X2,X3,X4] : multiply(double_divide(inverse(X0),X1),multiply(X1,X2)) = double_divide(X3,multiply(double_divide(multiply(X4,multiply(X2,X3)),X0),X4)),
inference(paramodulation,[status(thm)],[f65,f24]) ).
fof(f77,plain,
! [X0,X1,X2,X3] : multiply(double_divide(inverse(X0),X1),multiply(X1,X2)) = double_divide(X3,double_divide(X3,multiply(X0,X2))),
inference(forward_demodulation,[status(thm)],[f55,f76]) ).
fof(f88,plain,
! [X0,X1,X2,X3,X4] : multiply(double_divide(X0,double_divide(X1,X2)),multiply(multiply(X3,X4),X0)) = inverse(double_divide(multiply(X2,multiply(X4,X1)),X3)),
inference(paramodulation,[status(thm)],[f24,f67]) ).
fof(f89,plain,
! [X0,X1,X2,X3,X4] : multiply(double_divide(X0,double_divide(X1,X2)),multiply(multiply(X3,X4),X0)) = multiply(X3,multiply(X2,multiply(X4,X1))),
inference(forward_demodulation,[status(thm)],[f5,f88]) ).
fof(f90,plain,
! [X0,X1,X2,X3] : multiply(double_divide(X0,X1),multiply(X2,X0)) = inverse(double_divide(multiply(X2,X3),double_divide(X3,X1))),
inference(paramodulation,[status(thm)],[f23,f67]) ).
fof(f91,plain,
! [X0,X1,X2,X3] : multiply(double_divide(X0,X1),multiply(X2,X0)) = multiply(double_divide(X3,X1),multiply(X2,X3)),
inference(forward_demodulation,[status(thm)],[f5,f90]) ).
fof(f96,plain,
! [X0,X1,X2,X3] : multiply(double_divide(X0,X1),multiply(multiply(X2,multiply(X1,X3)),X0)) = inverse(double_divide(X3,X2)),
inference(paramodulation,[status(thm)],[f22,f67]) ).
fof(f97,plain,
! [X0,X1,X2,X3] : multiply(double_divide(X0,X1),multiply(multiply(X2,multiply(X1,X3)),X0)) = multiply(X2,X3),
inference(forward_demodulation,[status(thm)],[f5,f96]) ).
fof(f129,plain,
! [X0,X1,X2,X3,X4] : multiply(double_divide(X0,X1),double_divide(X2,X3)) = multiply(double_divide(multiply(X4,multiply(X3,multiply(X0,X2))),X1),X4),
inference(paramodulation,[status(thm)],[f22,f64]) ).
fof(f130,plain,
! [X0,X1,X2,X3] : multiply(double_divide(X0,X1),double_divide(X2,X3)) = double_divide(multiply(X0,X2),multiply(X1,X3)),
inference(forward_demodulation,[status(thm)],[f55,f129]) ).
fof(f205,plain,
! [X0,X1,X2,X3,X4,X5] : double_divide(multiply(multiply(X0,multiply(multiply(X1,X2),X3)),X4),multiply(double_divide(multiply(X5,multiply(X2,X4)),X1),X5)) = double_divide(X3,X0),
inference(backward_demodulation,[status(thm)],[f130,f36]) ).
fof(f206,plain,
! [X0,X1,X2,X3,X4] : double_divide(multiply(multiply(X0,multiply(multiply(X1,X2),X3)),X4),double_divide(X4,multiply(X1,X2))) = double_divide(X3,X0),
inference(forward_demodulation,[status(thm)],[f55,f205]) ).
fof(f259,plain,
! [X0,X1,X2,X3,X4] : multiply(X0,multiply(multiply(double_divide(multiply(X1,X2),X0),X1),inverse(X3))) = multiply(double_divide(multiply(X4,X2),X3),X4),
inference(paramodulation,[status(thm)],[f65,f66]) ).
fof(f263,plain,
! [X0,X1,X2,X3,X4] : multiply(X0,multiply(multiply(double_divide(multiply(X1,X2),X0),X1),X3)) = double_divide(multiply(X2,X4),double_divide(X4,X3)),
inference(paramodulation,[status(thm)],[f23,f66]) ).
fof(f294,plain,
! [X0,X1,X2,X3,X4] : multiply(double_divide(X0,X1),inverse(X2)) = multiply(double_divide(X3,X1),multiply(multiply(double_divide(multiply(X4,X0),X2),X4),X3)),
inference(paramodulation,[status(thm)],[f65,f91]) ).
fof(f298,plain,
! [X0,X1,X2,X3,X4,X5] : multiply(double_divide(X0,X1),multiply(double_divide(multiply(X2,X3),X4),X2)) = multiply(double_divide(X5,X1),multiply(double_divide(multiply(X0,X3),X4),X5)),
inference(paramodulation,[status(thm)],[f64,f91]) ).
fof(f300,plain,
! [X0,X1,X2,X3,X4] : multiply(double_divide(multiply(X0,X1),X2),inverse(X3)) = multiply(double_divide(X4,X2),multiply(double_divide(X1,multiply(X3,X0)),X4)),
inference(paramodulation,[status(thm)],[f67,f91]) ).
fof(f301,plain,
! [X0,X1,X2,X3,X4] : multiply(double_divide(multiply(X0,multiply(X1,X2)),X3),X1) = multiply(double_divide(X4,X3),multiply(double_divide(X2,X0),X4)),
inference(paramodulation,[status(thm)],[f22,f91]) ).
fof(f323,plain,
! [X0,X1,X2,X3,X4] : multiply(double_divide(multiply(double_divide(X0,X1),multiply(X2,X0)),X3),multiply(X3,X2)) = double_divide(X4,double_divide(X4,X1)),
inference(paramodulation,[status(thm)],[f91,f24]) ).
fof(f324,plain,
! [X0,X1,X2] : double_divide(X0,double_divide(X0,X1)) = double_divide(X2,double_divide(X2,X1)),
inference(forward_demodulation,[status(thm)],[f24,f323]) ).
fof(f390,plain,
! [X0,X1,X2,X3] : double_divide(X0,X1) = double_divide(X2,double_divide(X2,multiply(double_divide(multiply(X3,X0),X1),X3))),
inference(paramodulation,[status(thm)],[f29,f324]) ).
fof(f397,plain,
! [X0,X1,X2,X3,X4] : multiply(double_divide(multiply(X0,X1),X2),multiply(multiply(double_divide(X3,double_divide(X3,X2)),X0),multiply(X4,X1))) = X4,
inference(paramodulation,[status(thm)],[f324,f66]) ).
fof(f400,plain,
! [X0,X1,X2,X3] : multiply(multiply(double_divide(X0,double_divide(X0,X1)),X2),X3) = inverse(double_divide(multiply(X2,X3),X1)),
inference(paramodulation,[status(thm)],[f324,f65]) ).
fof(f401,plain,
! [X0,X1,X2,X3] : multiply(multiply(double_divide(X0,double_divide(X0,X1)),X2),X3) = multiply(X1,multiply(X2,X3)),
inference(forward_demodulation,[status(thm)],[f5,f400]) ).
fof(f402,plain,
! [X0,X1,X2,X3] : double_divide(multiply(X0,X1),X2) = double_divide(X1,multiply(double_divide(X3,double_divide(X3,X2)),X0)),
inference(paramodulation,[status(thm)],[f324,f29]) ).
fof(f406,plain,
! [X0,X1,X2] : multiply(double_divide(X0,X1),X0) = inverse(double_divide(X2,double_divide(X2,X1))),
inference(paramodulation,[status(thm)],[f324,f5]) ).
fof(f407,plain,
! [X0,X1,X2] : multiply(double_divide(X0,X1),X0) = multiply(double_divide(X2,X1),X2),
inference(forward_demodulation,[status(thm)],[f5,f406]) ).
fof(f422,plain,
! [X0,X1,X2,X3] : multiply(double_divide(multiply(X0,X1),X2),multiply(X2,multiply(X0,multiply(X3,X1)))) = X3,
inference(backward_demodulation,[status(thm)],[f401,f397]) ).
fof(f447,plain,
! [X0,X1,X2,X3] : multiply(multiply(double_divide(multiply(double_divide(X0,X1),X0),X2),double_divide(X3,X1)),X3) = inverse(X2),
inference(paramodulation,[status(thm)],[f407,f65]) ).
fof(f448,plain,
! [X0,X1,X2,X3] : multiply(double_divide(multiply(multiply(double_divide(X0,X1),X0),X2),multiply(X3,X1)),X2) = inverse(X3),
inference(forward_demodulation,[status(thm)],[f130,f447]) ).
fof(f449,plain,
! [X0,X1,X2,X3] : X0 = double_divide(X1,multiply(double_divide(multiply(double_divide(X2,X3),X2),X0),double_divide(X1,X3))),
inference(paramodulation,[status(thm)],[f407,f29]) ).
fof(f450,plain,
! [X0,X1,X2,X3] : X0 = double_divide(X1,double_divide(multiply(multiply(double_divide(X2,X3),X2),X1),multiply(X0,X3))),
inference(forward_demodulation,[status(thm)],[f130,f449]) ).
fof(f489,plain,
! [X0,X1,X2,X3,X4] : multiply(double_divide(X0,X1),multiply(inverse(X2),X0)) = multiply(multiply(double_divide(multiply(X3,multiply(X1,X4)),X2),X3),X4),
inference(paramodulation,[status(thm)],[f65,f97]) ).
fof(f490,plain,
! [X0,X1,X2,X3] : multiply(double_divide(X0,X1),multiply(inverse(X2),X0)) = multiply(double_divide(X3,multiply(X2,X1)),X3),
inference(forward_demodulation,[status(thm)],[f55,f489]) ).
fof(f500,plain,
! [X0,X1,X2,X3,X4] : multiply(double_divide(X0,multiply(X1,multiply(X2,X3))),multiply(multiply(X1,X3),X0)) = multiply(double_divide(X4,X2),X4),
inference(paramodulation,[status(thm)],[f97,f97]) ).
fof(f521,plain,
! [X0,X1,X2,X3,X4,X5] : multiply(double_divide(X0,double_divide(X1,X2)),multiply(multiply(X3,multiply(X4,X5)),X0)) = multiply(X3,multiply(multiply(X4,multiply(X2,X5)),X1)),
inference(paramodulation,[status(thm)],[f97,f97]) ).
fof(f522,plain,
! [X0,X1,X2,X3,X4] : multiply(X0,multiply(X1,multiply(multiply(X2,X3),X4))) = multiply(X0,multiply(multiply(X2,multiply(X1,X3)),X4)),
inference(forward_demodulation,[status(thm)],[f89,f521]) ).
fof(f530,plain,
! [X0,X1,X2,X3,X4] : multiply(double_divide(X0,double_divide(X1,X2)),multiply(multiply(X3,multiply(double_divide(X4,X2),X4)),X0)) = multiply(X3,X1),
inference(paramodulation,[status(thm)],[f407,f97]) ).
fof(f531,plain,
! [X0,X1,X2,X3] : multiply(X0,multiply(X1,multiply(multiply(double_divide(X2,X1),X2),X3))) = multiply(X0,X3),
inference(forward_demodulation,[status(thm)],[f89,f530]) ).
fof(f538,plain,
! [X0,X1,X2,X3,X4] : multiply(double_divide(multiply(X0,X1),X2),multiply(X2,multiply(X0,multiply(X3,X1)))) = double_divide(X4,double_divide(X4,X3)),
inference(paramodulation,[status(thm)],[f97,f24]) ).
fof(f539,plain,
! [X0,X1] : X0 = double_divide(X1,double_divide(X1,X0)),
inference(forward_demodulation,[status(thm)],[f422,f538]) ).
fof(f540,plain,
! [X0,X1,X2,X3] : multiply(double_divide(X0,double_divide(X0,X1)),multiply(X2,X3)) = multiply(X2,multiply(X1,X3)),
inference(paramodulation,[status(thm)],[f97,f22]) ).
fof(f541,plain,
! [X0,X1,X2] : multiply(X0,multiply(X1,X2)) = multiply(X1,multiply(X0,X2)),
inference(forward_demodulation,[status(thm)],[f539,f540]) ).
fof(f552,plain,
! [X0,X1,X2,X3,X4,X5] : multiply(double_divide(multiply(X0,multiply(multiply(X1,multiply(X2,X3)),X4)),X5),X0) = multiply(double_divide(multiply(X1,X3),X5),double_divide(X4,X2)),
inference(paramodulation,[status(thm)],[f97,f64]) ).
fof(f553,plain,
! [X0,X1,X2,X3,X4] : double_divide(X0,multiply(X1,multiply(X2,multiply(X3,X4)))) = multiply(double_divide(multiply(X2,X4),X1),double_divide(X0,X3)),
inference(forward_demodulation,[status(thm)],[f55,f552]) ).
fof(f554,plain,
! [X0,X1,X2,X3,X4] : double_divide(X0,multiply(X1,multiply(X2,multiply(X3,X4)))) = double_divide(multiply(multiply(X2,X4),X0),multiply(X1,X3)),
inference(forward_demodulation,[status(thm)],[f130,f553]) ).
fof(f564,plain,
! [X0,X1,X2,X3,X4] : multiply(multiply(double_divide(multiply(X0,X1),X2),double_divide(X3,X4)),multiply(multiply(X0,multiply(X4,X1)),X3)) = inverse(X2),
inference(paramodulation,[status(thm)],[f97,f65]) ).
fof(f565,plain,
! [X0,X1,X2,X3,X4] : multiply(multiply(double_divide(multiply(X0,X1),X2),double_divide(X3,X4)),multiply(X4,multiply(multiply(X0,X1),X3))) = inverse(X2),
inference(forward_demodulation,[status(thm)],[f522,f564]) ).
fof(f566,plain,
! [X0,X1,X2,X3,X4] : multiply(X0,multiply(multiply(double_divide(multiply(X1,X2),X3),double_divide(X4,X0)),multiply(multiply(X1,X2),X4))) = inverse(X3),
inference(forward_demodulation,[status(thm)],[f541,f565]) ).
fof(f567,plain,
! [X0,X1,X2,X3,X4] : multiply(X0,multiply(multiply(X1,X2),multiply(multiply(double_divide(multiply(X1,X2),X3),double_divide(X4,X0)),X4))) = inverse(X3),
inference(forward_demodulation,[status(thm)],[f541,f566]) ).
fof(f568,plain,
! [X0,X1,X2,X3,X4] : multiply(X0,multiply(multiply(X1,X2),multiply(double_divide(multiply(multiply(X1,X2),X3),multiply(X4,X0)),X3))) = inverse(X4),
inference(forward_demodulation,[status(thm)],[f130,f567]) ).
fof(f569,plain,
! [X0,X1,X2,X3,X4] : multiply(X0,multiply(multiply(X1,X2),multiply(double_divide(X3,multiply(X4,multiply(X1,multiply(X0,X2)))),X3))) = inverse(X4),
inference(forward_demodulation,[status(thm)],[f554,f568]) ).
fof(f576,plain,
! [X0,X1,X2,X3,X4,X5] : multiply(double_divide(multiply(X0,multiply(X1,X2)),X3),multiply(X3,double_divide(X4,X5))) = double_divide(multiply(multiply(X1,multiply(X5,X2)),X4),X0),
inference(paramodulation,[status(thm)],[f97,f24]) ).
fof(f577,plain,
! [X0,X1,X2,X3,X4] : double_divide(multiply(X0,multiply(multiply(X1,X2),X3)),X4) = double_divide(multiply(multiply(X1,multiply(X0,X2)),X3),X4),
inference(forward_demodulation,[status(thm)],[f35,f576]) ).
fof(f597,plain,
! [X0,X1,X2] : double_divide(X0,X1) = multiply(double_divide(multiply(X2,X0),X1),X2),
inference(backward_demodulation,[status(thm)],[f539,f390]) ).
fof(f599,plain,
! [X0,X1,X2] : multiply(double_divide(inverse(X0),X1),multiply(X1,X2)) = multiply(X0,X2),
inference(backward_demodulation,[status(thm)],[f539,f77]) ).
fof(f600,plain,
! [X0,X1,X2] : multiply(X0,multiply(double_divide(inverse(X1),X0),X2)) = multiply(X1,X2),
inference(forward_demodulation,[status(thm)],[f541,f599]) ).
fof(f604,plain,
! [X0,X1,X2] : double_divide(multiply(X0,X1),X2) = double_divide(X1,multiply(X2,X0)),
inference(backward_demodulation,[status(thm)],[f539,f402]) ).
fof(f605,plain,
! [X0,X1,X2] : multiply(multiply(X0,X1),X2) = multiply(X0,multiply(X1,X2)),
inference(backward_demodulation,[status(thm)],[f539,f401]) ).
fof(f648,plain,
! [X0,X1,X2,X3] : X0 = double_divide(X1,double_divide(X1,multiply(X0,multiply(double_divide(X2,X3),multiply(X3,X2))))),
inference(backward_demodulation,[status(thm)],[f554,f450]) ).
fof(f649,plain,
! [X0,X1,X2] : X0 = multiply(X0,multiply(double_divide(X1,X2),multiply(X2,X1))),
inference(forward_demodulation,[status(thm)],[f539,f648]) ).
fof(f650,plain,
! [X0,X1,X2] : X0 = multiply(X0,multiply(X1,multiply(double_divide(X2,X1),X2))),
inference(forward_demodulation,[status(thm)],[f541,f649]) ).
fof(f651,plain,
! [X0,X1,X2,X3] : multiply(double_divide(X0,multiply(X1,multiply(double_divide(X2,X3),multiply(X3,X2)))),X0) = inverse(X1),
inference(backward_demodulation,[status(thm)],[f554,f448]) ).
fof(f652,plain,
! [X0,X1,X2,X3] : multiply(double_divide(X0,multiply(X1,multiply(X2,multiply(double_divide(X3,X2),X3)))),X0) = inverse(X1),
inference(forward_demodulation,[status(thm)],[f541,f651]) ).
fof(f653,plain,
! [X0,X1] : multiply(double_divide(X0,X1),X0) = inverse(X1),
inference(forward_demodulation,[status(thm)],[f650,f652]) ).
fof(f674,plain,
! [X0,X1,X2,X3,X4] : double_divide(multiply(multiply(X0,X1),multiply(multiply(X2,X3),X4)),double_divide(X4,multiply(X0,X1))) = double_divide(X3,X2),
inference(backward_demodulation,[status(thm)],[f577,f206]) ).
fof(f675,plain,
! [X0,X1,X2,X3,X4] : double_divide(multiply(multiply(X0,X1),X2),multiply(double_divide(X2,multiply(X3,X4)),multiply(X3,X4))) = double_divide(X1,X0),
inference(forward_demodulation,[status(thm)],[f604,f674]) ).
fof(f676,plain,
! [X0,X1,X2,X3,X4] : double_divide(X0,multiply(double_divide(X0,multiply(X1,X2)),multiply(X3,multiply(multiply(X1,X2),X4)))) = double_divide(X4,X3),
inference(forward_demodulation,[status(thm)],[f554,f675]) ).
fof(f677,plain,
! [X0,X1,X2,X3,X4] : double_divide(X0,multiply(double_divide(X0,multiply(X1,X2)),multiply(X3,multiply(X1,multiply(X2,X4))))) = double_divide(X4,X3),
inference(forward_demodulation,[status(thm)],[f605,f676]) ).
fof(f703,plain,
! [X0,X1,X2,X3,X4] : multiply(double_divide(X0,X1),double_divide(X2,X3)) = multiply(double_divide(X4,X1),multiply(double_divide(multiply(X0,X2),X3),X4)),
inference(backward_demodulation,[status(thm)],[f597,f298]) ).
fof(f704,plain,
! [X0,X1,X2,X3,X4] : double_divide(multiply(X0,X1),multiply(X2,X3)) = multiply(double_divide(X4,X2),multiply(double_divide(multiply(X0,X1),X3),X4)),
inference(forward_demodulation,[status(thm)],[f130,f703]) ).
fof(f705,plain,
! [X0,X1,X2,X3,X4] : double_divide(X0,multiply(multiply(X1,X2),X3)) = multiply(double_divide(X4,X1),multiply(double_divide(multiply(X3,X0),X2),X4)),
inference(forward_demodulation,[status(thm)],[f604,f704]) ).
fof(f706,plain,
! [X0,X1,X2,X3,X4] : double_divide(X0,multiply(X1,multiply(X2,X3))) = multiply(double_divide(X4,X1),multiply(double_divide(multiply(X3,X0),X2),X4)),
inference(forward_demodulation,[status(thm)],[f605,f705]) ).
fof(f707,plain,
! [X0,X1,X2,X3,X4] : double_divide(X0,multiply(X1,multiply(X2,X3))) = multiply(double_divide(X4,X1),multiply(double_divide(X0,multiply(X2,X3)),X4)),
inference(forward_demodulation,[status(thm)],[f604,f706]) ).
fof(f708,plain,
! [X0,X1,X2,X3] : double_divide(X0,multiply(X1,multiply(X2,X3))) = multiply(double_divide(multiply(X3,X0),X1),inverse(X2)),
inference(forward_demodulation,[status(thm)],[f300,f707]) ).
fof(f709,plain,
! [X0,X1,X2,X3] : double_divide(X0,multiply(X1,multiply(X2,X3))) = multiply(double_divide(X0,multiply(X1,X3)),inverse(X2)),
inference(forward_demodulation,[status(thm)],[f604,f708]) ).
fof(f710,plain,
! [X0,X1,X2,X3] : multiply(double_divide(X0,X1),inverse(X2)) = multiply(double_divide(X3,X1),multiply(double_divide(X0,X2),X3)),
inference(backward_demodulation,[status(thm)],[f597,f294]) ).
fof(f733,plain,
! [X0,X1,X2,X3] : multiply(X0,multiply(double_divide(X1,X0),X2)) = double_divide(multiply(X1,X3),double_divide(X3,X2)),
inference(backward_demodulation,[status(thm)],[f597,f263]) ).
fof(f734,plain,
! [X0,X1,X2,X3] : multiply(X0,multiply(double_divide(X1,X0),X2)) = double_divide(X3,multiply(double_divide(X3,X2),X1)),
inference(forward_demodulation,[status(thm)],[f604,f733]) ).
fof(f735,plain,
! [X0,X1,X2,X3] : multiply(X0,multiply(multiply(double_divide(multiply(X1,X2),X0),X1),inverse(X3))) = double_divide(X2,X3),
inference(backward_demodulation,[status(thm)],[f597,f259]) ).
fof(f736,plain,
! [X0,X1,X2,X3] : multiply(X0,multiply(double_divide(multiply(X1,X2),X0),multiply(X1,inverse(X3)))) = double_divide(X2,X3),
inference(forward_demodulation,[status(thm)],[f605,f735]) ).
fof(f737,plain,
! [X0,X1,X2,X3] : multiply(X0,multiply(X1,multiply(double_divide(multiply(X1,X2),X0),inverse(X3)))) = double_divide(X2,X3),
inference(forward_demodulation,[status(thm)],[f541,f736]) ).
fof(f738,plain,
! [X0,X1,X2,X3] : multiply(X0,multiply(X1,multiply(double_divide(X2,multiply(X0,X1)),inverse(X3)))) = double_divide(X2,X3),
inference(forward_demodulation,[status(thm)],[f604,f737]) ).
fof(f739,plain,
! [X0,X1,X2,X3] : multiply(X0,multiply(X1,double_divide(X2,multiply(X0,multiply(X3,X1))))) = double_divide(X2,X3),
inference(forward_demodulation,[status(thm)],[f709,f738]) ).
fof(f841,plain,
! [X0,X1,X2,X3,X4] : multiply(double_divide(X0,X1),multiply(X1,X2)) = double_divide(X3,double_divide(X4,multiply(double_divide(X4,X0),multiply(X2,X3)))),
inference(backward_demodulation,[status(thm)],[f604,f31]) ).
fof(f842,plain,
! [X0,X1,X2,X3,X4] : multiply(X0,multiply(double_divide(X1,X0),X2)) = double_divide(X3,double_divide(X4,multiply(double_divide(X4,X1),multiply(X2,X3)))),
inference(forward_demodulation,[status(thm)],[f541,f841]) ).
fof(f901,plain,
! [X0,X1,X2,X3,X4] : multiply(double_divide(multiply(X0,X1),multiply(X2,X3)),X0) = multiply(double_divide(X4,X2),multiply(double_divide(X1,X3),X4)),
inference(backward_demodulation,[status(thm)],[f604,f301]) ).
fof(f902,plain,
! [X0,X1,X2,X3] : double_divide(X0,multiply(X1,X2)) = multiply(double_divide(X3,X1),multiply(double_divide(X0,X2),X3)),
inference(forward_demodulation,[status(thm)],[f597,f901]) ).
fof(f903,plain,
! [X0,X1,X2] : double_divide(X0,multiply(X1,X2)) = multiply(double_divide(X0,X1),inverse(X2)),
inference(forward_demodulation,[status(thm)],[f710,f902]) ).
fof(f908,plain,
! [X0,X1,X2,X3,X4] : multiply(double_divide(double_divide(X0,X1),X2),multiply(X2,X3)) = double_divide(X4,double_divide(multiply(X4,X0),multiply(X3,X1))),
inference(backward_demodulation,[status(thm)],[f604,f30]) ).
fof(f909,plain,
! [X0,X1,X2,X3,X4] : multiply(X0,multiply(double_divide(double_divide(X1,X2),X0),X3)) = double_divide(X4,double_divide(multiply(X4,X1),multiply(X3,X2))),
inference(forward_demodulation,[status(thm)],[f541,f908]) ).
fof(f910,plain,
! [X0,X1,X2,X3,X4] : multiply(X0,multiply(double_divide(double_divide(X1,X2),X0),X3)) = double_divide(X4,double_divide(X1,multiply(multiply(X3,X2),X4))),
inference(forward_demodulation,[status(thm)],[f604,f909]) ).
fof(f911,plain,
! [X0,X1,X2,X3,X4] : multiply(X0,multiply(double_divide(double_divide(X1,X2),X0),X3)) = double_divide(X4,double_divide(X1,multiply(X3,multiply(X2,X4)))),
inference(forward_demodulation,[status(thm)],[f605,f910]) ).
fof(f968,plain,
! [X0,X1,X2,X3] : multiply(X0,multiply(X1,multiply(double_divide(X2,X1),multiply(X2,X3)))) = multiply(X0,X3),
inference(backward_demodulation,[status(thm)],[f605,f531]) ).
fof(f969,plain,
! [X0,X1,X2,X3] : multiply(X0,multiply(X1,multiply(X2,multiply(double_divide(X2,X1),X3)))) = multiply(X0,X3),
inference(forward_demodulation,[status(thm)],[f541,f968]) ).
fof(f977,plain,
! [X0,X1,X2,X3,X4] : multiply(X0,multiply(X1,multiply(X2,multiply(double_divide(X3,multiply(X4,multiply(X1,multiply(X0,X2)))),X3)))) = inverse(X4),
inference(backward_demodulation,[status(thm)],[f605,f569]) ).
fof(f978,plain,
! [X0,X1,X2,X3] : multiply(X0,multiply(X1,multiply(X2,inverse(multiply(X3,multiply(X1,multiply(X0,X2))))))) = inverse(X3),
inference(forward_demodulation,[status(thm)],[f653,f977]) ).
fof(f980,plain,
! [X0,X1,X2,X3,X4] : multiply(double_divide(X0,multiply(X1,multiply(X2,X3))),multiply(X1,multiply(X3,X0))) = multiply(double_divide(X4,X2),X4),
inference(backward_demodulation,[status(thm)],[f605,f500]) ).
fof(f981,plain,
! [X0,X1,X2,X3,X4] : multiply(X0,multiply(double_divide(X1,multiply(X0,multiply(X2,X3))),multiply(X3,X1))) = multiply(double_divide(X4,X2),X4),
inference(forward_demodulation,[status(thm)],[f541,f980]) ).
fof(f982,plain,
! [X0,X1,X2,X3,X4] : multiply(X0,multiply(X1,multiply(double_divide(X2,multiply(X0,multiply(X3,X1))),X2))) = multiply(double_divide(X4,X3),X4),
inference(forward_demodulation,[status(thm)],[f541,f981]) ).
fof(f983,plain,
! [X0,X1,X2,X3] : multiply(X0,multiply(X1,inverse(multiply(X0,multiply(X2,X1))))) = multiply(double_divide(X3,X2),X3),
inference(forward_demodulation,[status(thm)],[f653,f982]) ).
fof(f984,plain,
! [X0,X1,X2] : multiply(X0,multiply(X1,inverse(multiply(X0,multiply(X2,X1))))) = inverse(X2),
inference(forward_demodulation,[status(thm)],[f653,f983]) ).
fof(f994,plain,
! [X0,X1,X2] : multiply(double_divide(X0,X1),multiply(inverse(X2),X0)) = inverse(multiply(X2,X1)),
inference(backward_demodulation,[status(thm)],[f653,f490]) ).
fof(f1058,plain,
! [X0,X1,X2,X3,X4] : double_divide(X0,multiply(double_divide(X0,multiply(X1,X2)),inverse(X3))) = double_divide(X4,double_divide(multiply(X2,X4),multiply(X3,X1))),
inference(paramodulation,[status(thm)],[f67,f677]) ).
fof(f1059,plain,
! [X0,X1,X2,X3,X4] : double_divide(X0,double_divide(X0,multiply(multiply(X1,X2),X3))) = double_divide(X4,double_divide(multiply(X2,X4),multiply(X3,X1))),
inference(forward_demodulation,[status(thm)],[f903,f1058]) ).
fof(f1060,plain,
! [X0,X1,X2,X3] : multiply(multiply(X0,X1),X2) = double_divide(X3,double_divide(multiply(X1,X3),multiply(X2,X0))),
inference(forward_demodulation,[status(thm)],[f539,f1059]) ).
fof(f1061,plain,
! [X0,X1,X2,X3] : multiply(X0,multiply(X1,X2)) = double_divide(X3,double_divide(multiply(X1,X3),multiply(X2,X0))),
inference(forward_demodulation,[status(thm)],[f605,f1060]) ).
fof(f1062,plain,
! [X0,X1,X2,X3] : multiply(X0,multiply(X1,X2)) = double_divide(X3,double_divide(X3,multiply(multiply(X2,X0),X1))),
inference(forward_demodulation,[status(thm)],[f604,f1061]) ).
fof(f1063,plain,
! [X0,X1,X2] : multiply(X0,multiply(X1,X2)) = multiply(multiply(X2,X0),X1),
inference(forward_demodulation,[status(thm)],[f539,f1062]) ).
fof(f1064,plain,
! [X0,X1,X2] : multiply(X0,multiply(X1,X2)) = multiply(X2,multiply(X0,X1)),
inference(forward_demodulation,[status(thm)],[f605,f1063]) ).
fof(f1138,plain,
! [X0,X1,X2,X3,X4,X5] : multiply(double_divide(X0,X1),multiply(double_divide(X2,double_divide(X3,X1)),X0)) = double_divide(X4,double_divide(X5,multiply(double_divide(X5,X2),multiply(X3,X4)))),
inference(paramodulation,[status(thm)],[f91,f842]) ).
fof(f1139,plain,
! [X0,X1,X2,X3,X4,X5] : multiply(X0,multiply(double_divide(X0,X1),double_divide(X2,double_divide(X3,X1)))) = double_divide(X4,double_divide(X5,multiply(double_divide(X5,X2),multiply(X3,X4)))),
inference(forward_demodulation,[status(thm)],[f1064,f1138]) ).
fof(f1164,plain,
! [X0,X1,X2,X3] : multiply(X0,multiply(double_divide(X1,X0),X2)) = multiply(double_divide(X3,X1),multiply(X2,X3)),
inference(paramodulation,[status(thm)],[f539,f842]) ).
fof(f1165,plain,
! [X0,X1,X2,X3] : multiply(X0,multiply(double_divide(X1,X0),X2)) = multiply(X3,multiply(double_divide(X3,X1),X2)),
inference(forward_demodulation,[status(thm)],[f1064,f1164]) ).
fof(f1170,plain,
! [X0,X1,X2,X3] : multiply(X0,multiply(double_divide(X1,X0),X1)) = double_divide(multiply(X2,X3),double_divide(X3,X2)),
inference(paramodulation,[status(thm)],[f22,f842]) ).
fof(f1171,plain,
! [X0,X1,X2] : multiply(X0,inverse(X0)) = double_divide(multiply(X1,X2),double_divide(X2,X1)),
inference(forward_demodulation,[status(thm)],[f653,f1170]) ).
fof(f1172,plain,
! [X0,X1,X2] : multiply(X0,inverse(X0)) = double_divide(X1,multiply(double_divide(X1,X2),X2)),
inference(forward_demodulation,[status(thm)],[f604,f1171]) ).
fof(f1208,plain,
! [X0,X1,X2,X3,X4] : multiply(double_divide(X0,X1),double_divide(X2,double_divide(X3,multiply(double_divide(X3,X4),multiply(X0,X2))))) = double_divide(X4,X1),
inference(paramodulation,[status(thm)],[f842,f22]) ).
fof(f1255,plain,
! [X0,X1,X2,X3] : multiply(X0,multiply(double_divide(X1,X0),X2)) = double_divide(X3,double_divide(multiply(X2,X3),inverse(X1))),
inference(paramodulation,[status(thm)],[f653,f842]) ).
fof(f1256,plain,
! [X0,X1,X2,X3] : multiply(X0,multiply(double_divide(X1,X0),X2)) = double_divide(X3,double_divide(X3,multiply(inverse(X1),X2))),
inference(forward_demodulation,[status(thm)],[f604,f1255]) ).
fof(f1257,plain,
! [X0,X1,X2] : multiply(X0,multiply(double_divide(X1,X0),X2)) = multiply(inverse(X1),X2),
inference(forward_demodulation,[status(thm)],[f539,f1256]) ).
fof(f1263,plain,
! [X0,X1,X2,X3,X4] : multiply(X0,multiply(double_divide(X1,X0),double_divide(X2,X3))) = double_divide(X2,double_divide(X4,multiply(double_divide(X4,X1),inverse(X3)))),
inference(paramodulation,[status(thm)],[f653,f842]) ).
fof(f1264,plain,
! [X0,X1,X2,X3] : multiply(inverse(X0),double_divide(X1,X2)) = double_divide(X1,double_divide(X3,multiply(double_divide(X3,X0),inverse(X2)))),
inference(forward_demodulation,[status(thm)],[f1257,f1263]) ).
fof(f1265,plain,
! [X0,X1,X2,X3] : multiply(inverse(X0),double_divide(X1,X2)) = double_divide(X1,double_divide(X3,double_divide(X3,multiply(X0,X2)))),
inference(forward_demodulation,[status(thm)],[f903,f1264]) ).
fof(f1266,plain,
! [X0,X1,X2] : multiply(inverse(X0),double_divide(X1,X2)) = double_divide(X1,multiply(X0,X2)),
inference(forward_demodulation,[status(thm)],[f539,f1265]) ).
fof(f1267,plain,
! [X0,X1,X2,X3] : multiply(double_divide(X0,X1),multiply(double_divide(X2,X3),X0)) = multiply(double_divide(X2,X1),inverse(X3)),
inference(paramodulation,[status(thm)],[f653,f91]) ).
fof(f1268,plain,
! [X0,X1,X2,X3] : multiply(X0,multiply(double_divide(X0,X1),double_divide(X2,X3))) = multiply(double_divide(X2,X1),inverse(X3)),
inference(forward_demodulation,[status(thm)],[f1064,f1267]) ).
fof(f1269,plain,
! [X0,X1,X2,X3] : multiply(X0,multiply(double_divide(X0,X1),double_divide(X2,X3))) = double_divide(X2,multiply(X1,X3)),
inference(forward_demodulation,[status(thm)],[f903,f1268]) ).
fof(f1279,plain,
! [X0,X1,X2] : multiply(double_divide(X0,X1),multiply(X1,inverse(X2))) = double_divide(X0,X2),
inference(paramodulation,[status(thm)],[f653,f22]) ).
fof(f1280,plain,
! [X0,X1,X2] : multiply(X0,multiply(inverse(X1),double_divide(X2,X0))) = double_divide(X2,X1),
inference(forward_demodulation,[status(thm)],[f1064,f1279]) ).
fof(f1281,plain,
! [X0,X1,X2] : multiply(X0,double_divide(X1,multiply(X2,X0))) = double_divide(X1,X2),
inference(forward_demodulation,[status(thm)],[f1266,f1280]) ).
fof(f1282,plain,
! [X0,X1,X2,X3] : multiply(inverse(X0),X1) = double_divide(X2,double_divide(X3,multiply(double_divide(X3,X0),multiply(X1,X2)))),
inference(backward_demodulation,[status(thm)],[f1257,f842]) ).
fof(f1287,plain,
! [X0,X1,X2,X3] : multiply(inverse(double_divide(X0,X1)),X2) = double_divide(X3,double_divide(X0,multiply(X2,multiply(X1,X3)))),
inference(backward_demodulation,[status(thm)],[f1257,f911]) ).
fof(f1288,plain,
! [X0,X1,X2,X3] : multiply(multiply(X0,X1),X2) = double_divide(X3,double_divide(X1,multiply(X2,multiply(X0,X3)))),
inference(forward_demodulation,[status(thm)],[f5,f1287]) ).
fof(f1289,plain,
! [X0,X1,X2,X3] : multiply(X0,multiply(X1,X2)) = double_divide(X3,double_divide(X1,multiply(X2,multiply(X0,X3)))),
inference(forward_demodulation,[status(thm)],[f605,f1288]) ).
fof(f1294,plain,
! [X0,X1] : multiply(inverse(inverse(X0)),X1) = multiply(X0,X1),
inference(backward_demodulation,[status(thm)],[f1257,f600]) ).
fof(f1321,plain,
! [X0,X1,X2] : multiply(inverse(X0),X1) = multiply(X2,multiply(double_divide(X2,X0),X1)),
inference(backward_demodulation,[status(thm)],[f1257,f1165]) ).
fof(f1325,plain,
! [X0,X1,X2] : multiply(inverse(X0),X1) = double_divide(X2,multiply(double_divide(X2,X1),X0)),
inference(backward_demodulation,[status(thm)],[f1257,f734]) ).
fof(f1327,plain,
! [X0,X1,X2,X3,X4] : double_divide(X0,multiply(X1,double_divide(X2,X1))) = double_divide(X3,double_divide(X4,multiply(double_divide(X4,X0),multiply(X2,X3)))),
inference(backward_demodulation,[status(thm)],[f1269,f1139]) ).
fof(f1328,plain,
! [X0,X1,X2] : double_divide(X0,multiply(X1,double_divide(X2,X1))) = multiply(inverse(X0),X2),
inference(forward_demodulation,[status(thm)],[f1282,f1327]) ).
fof(f1332,plain,
! [X0,X1,X2] : multiply(double_divide(X0,X1),multiply(inverse(X2),X0)) = double_divide(X2,X1),
inference(backward_demodulation,[status(thm)],[f1282,f1208]) ).
fof(f1333,plain,
! [X0,X1] : inverse(multiply(X0,X1)) = double_divide(X0,X1),
inference(forward_demodulation,[status(thm)],[f994,f1332]) ).
fof(f1349,plain,
! [X0,X1,X2] : multiply(inverse(X0),X1) = multiply(X1,multiply(X2,double_divide(X2,X0))),
inference(backward_demodulation,[status(thm)],[f1289,f1282]) ).
fof(f1429,plain,
! [X0,X1,X2] : multiply(X0,multiply(X1,multiply(inverse(X1),X2))) = multiply(X0,X2),
inference(backward_demodulation,[status(thm)],[f1321,f969]) ).
fof(f1440,plain,
! [X0,X1] : multiply(X0,inverse(X0)) = multiply(inverse(X1),X1),
inference(backward_demodulation,[status(thm)],[f1325,f1172]) ).
fof(f1478,plain,
! [X0,X1,X2,X3] : multiply(X0,multiply(X1,multiply(X2,double_divide(X3,multiply(X1,multiply(X0,X2)))))) = inverse(X3),
inference(backward_demodulation,[status(thm)],[f1333,f978]) ).
fof(f1479,plain,
! [X0,X1] : multiply(X0,double_divide(X1,X0)) = inverse(X1),
inference(forward_demodulation,[status(thm)],[f739,f1478]) ).
fof(f1483,plain,
! [X0,X1,X2] : multiply(X0,multiply(X1,double_divide(X0,multiply(X2,X1)))) = inverse(X2),
inference(backward_demodulation,[status(thm)],[f1333,f984]) ).
fof(f1484,plain,
! [X0,X1] : multiply(X0,double_divide(X0,X1)) = inverse(X1),
inference(forward_demodulation,[status(thm)],[f1281,f1483]) ).
fof(f1528,plain,
! [X0,X1] : double_divide(X0,inverse(X1)) = multiply(inverse(X0),X1),
inference(backward_demodulation,[status(thm)],[f1479,f1328]) ).
fof(f1530,plain,
! [X0,X1] : multiply(inverse(X0),X1) = multiply(X1,inverse(X0)),
inference(backward_demodulation,[status(thm)],[f1484,f1349]) ).
fof(f1531,plain,
! [X0,X1] : double_divide(X0,inverse(X1)) = multiply(X1,inverse(X0)),
inference(forward_demodulation,[status(thm)],[f1528,f1530]) ).
fof(f1564,plain,
! [X0,X1] : multiply(X0,inverse(X0)) = double_divide(X1,inverse(X1)),
inference(backward_demodulation,[status(thm)],[f1528,f1440]) ).
fof(f1565,plain,
! [X0,X1] : double_divide(X0,inverse(X0)) = double_divide(X1,inverse(X1)),
inference(forward_demodulation,[status(thm)],[f1531,f1564]) ).
fof(f1567,plain,
! [X0,X1,X2] : multiply(X0,multiply(X1,double_divide(X1,inverse(X2)))) = multiply(X0,X2),
inference(backward_demodulation,[status(thm)],[f1528,f1429]) ).
fof(f1568,plain,
! [X0,X1] : multiply(inverse(inverse(X0)),X1) = multiply(X1,X0),
inference(forward_demodulation,[status(thm)],[f1349,f1567]) ).
fof(f1569,plain,
! [X0,X1] : multiply(X0,X1) = multiply(X1,X0),
inference(forward_demodulation,[status(thm)],[f1294,f1568]) ).
fof(f1600,plain,
( $false
| spl0_3 ),
inference(backward_subsumption_resolution,[status(thm)],[f18,f1569]) ).
fof(f1601,plain,
spl0_3,
inference(contradiction_clause,[status(thm)],[f1600]) ).
fof(f1604,plain,
( multiply(a3,multiply(b3,c3)) != multiply(a3,multiply(b3,c3))
| spl0_2 ),
inference(forward_demodulation,[status(thm)],[f605,f15]) ).
fof(f1605,plain,
( $false
| spl0_2 ),
inference(trivial_equality_resolution,[status(esa)],[f1604]) ).
fof(f1606,plain,
spl0_2,
inference(contradiction_clause,[status(thm)],[f1605]) ).
fof(f1607,plain,
( double_divide(a1,inverse(a1)) != multiply(inverse(b1),b1)
| spl0_0 ),
inference(forward_demodulation,[status(thm)],[f1528,f9]) ).
fof(f1608,plain,
( double_divide(a1,inverse(a1)) != double_divide(b1,inverse(b1))
| spl0_0 ),
inference(forward_demodulation,[status(thm)],[f1528,f1607]) ).
fof(f1609,plain,
( $false
| spl0_0 ),
inference(forward_subsumption_resolution,[status(thm)],[f1608,f1565]) ).
fof(f1610,plain,
spl0_0,
inference(contradiction_clause,[status(thm)],[f1609]) ).
fof(f1611,plain,
( multiply(inverse(b2),multiply(b2,a2)) != a2
| spl0_1 ),
inference(forward_demodulation,[status(thm)],[f605,f12]) ).
fof(f1612,plain,
( double_divide(b2,inverse(multiply(b2,a2))) != a2
| spl0_1 ),
inference(forward_demodulation,[status(thm)],[f1528,f1611]) ).
fof(f1613,plain,
( double_divide(b2,double_divide(b2,a2)) != a2
| spl0_1 ),
inference(forward_demodulation,[status(thm)],[f1333,f1612]) ).
fof(f1614,plain,
( a2 != a2
| spl0_1 ),
inference(forward_demodulation,[status(thm)],[f539,f1613]) ).
fof(f1615,plain,
( $false
| spl0_1 ),
inference(trivial_equality_resolution,[status(esa)],[f1614]) ).
fof(f1616,plain,
spl0_1,
inference(contradiction_clause,[status(thm)],[f1615]) ).
fof(f1617,plain,
$false,
inference(sat_refutation,[status(thm)],[f19,f1601,f1606,f1610,f1616]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : GRP110-1 : TPTP v8.1.2. Bugfixed v2.7.0.
% 0.07/0.13 % Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.13/0.34 % Computer : n012.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % WCLimit : 300
% 0.13/0.34 % DateTime : Tue Apr 30 00:22:27 EDT 2024
% 0.13/0.34 % CPUTime :
% 0.13/0.35 % Drodi V3.6.0
% 1.49/0.60 % Refutation found
% 1.49/0.60 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 1.49/0.60 % SZS output start CNFRefutation for theBenchmark
% See solution above
% 1.49/0.61 % Elapsed time: 0.265659 seconds
% 1.49/0.61 % CPU time: 2.001903 seconds
% 1.49/0.61 % Total memory used: 83.889 MB
% 1.49/0.61 % Net memory used: 81.668 MB
%------------------------------------------------------------------------------