TSTP Solution File: GRP108-1 by Drodi---3.5.1
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%------------------------------------------------------------------------------
% File : Drodi---3.5.1
% Problem : GRP108-1 : TPTP v8.1.2. Bugfixed v2.7.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% Computer : n029.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 12:10:14 EDT 2023
% Result : Unsatisfiable 0.09s 0.30s
% Output : CNFRefutation 0.09s
% Verified :
% SZS Type : Refutation
% Derivation depth : 49
% Number of leaves : 7
% Syntax : Number of formulae : 188 ( 166 unt; 0 def)
% Number of atoms : 216 ( 184 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 : 8 ( 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 : 638 (; 638 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
! [X,Y,Z] : inverse(double_divide(inverse(double_divide(X,inverse(double_divide(Y,double_divide(X,Z))))),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(X0,inverse(double_divide(X1,double_divide(X0,X2))))),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(X0,inverse(double_divide(X1,inverse(double_divide(X2,double_divide(X1,X0)))))) = X2,
inference(backward_demodulation,[status(thm)],[f5,f4]) ).
fof(f21,plain,
! [X0,X1,X2] : multiply(X0,multiply(inverse(double_divide(X1,double_divide(X2,X0))),X2)) = X1,
inference(forward_demodulation,[status(thm)],[f5,f20]) ).
fof(f22,plain,
! [X0,X1,X2] : multiply(X0,multiply(multiply(double_divide(X1,X0),X2),X1)) = X2,
inference(forward_demodulation,[status(thm)],[f5,f21]) ).
fof(f23,plain,
! [X0,X1,X2,X3] : multiply(X0,multiply(X1,X2)) = multiply(multiply(double_divide(X3,double_divide(X2,X0)),X1),X3),
inference(paramodulation,[status(thm)],[f22,f22]) ).
fof(f26,plain,
! [X0,X1,X2] : multiply(double_divide(X0,X1),multiply(X1,multiply(X2,X0))) = X2,
inference(paramodulation,[status(thm)],[f23,f22]) ).
fof(f27,plain,
! [X0,X1,X2] : multiply(double_divide(multiply(X0,X1),double_divide(X1,X2)),X0) = X2,
inference(paramodulation,[status(thm)],[f26,f26]) ).
fof(f28,plain,
! [X0,X1,X2,X3,X4] : multiply(double_divide(X0,multiply(double_divide(multiply(X1,X0),double_divide(X2,X3)),X4)),multiply(X3,multiply(X4,X2))) = X1,
inference(paramodulation,[status(thm)],[f23,f26]) ).
fof(f29,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)],[f26,f26]) ).
fof(f31,plain,
! [X0,X1,X2,X3] : multiply(double_divide(multiply(multiply(double_divide(X0,X1),X2),X0),X3),multiply(X3,X2)) = X1,
inference(paramodulation,[status(thm)],[f22,f26]) ).
fof(f38,plain,
! [X0,X1,X2,X3] : multiply(double_divide(X0,double_divide(multiply(multiply(X1,X0),X2),double_divide(X2,X3))),X3) = X1,
inference(paramodulation,[status(thm)],[f27,f26]) ).
fof(f39,plain,
! [X0,X1,X2,X3] : multiply(double_divide(X0,X1),multiply(X1,X2)) = double_divide(multiply(X0,X3),double_divide(X3,X2)),
inference(paramodulation,[status(thm)],[f27,f26]) ).
fof(f41,plain,
! [X0,X1,X2] : X0 = double_divide(multiply(X1,X2),double_divide(X2,multiply(X0,X1))),
inference(paramodulation,[status(thm)],[f26,f39]) ).
fof(f42,plain,
! [X0,X1,X2,X3] : double_divide(multiply(X0,X1),double_divide(X1,X2)) = double_divide(multiply(X0,X3),double_divide(X3,X2)),
inference(paramodulation,[status(thm)],[f39,f39]) ).
fof(f45,plain,
! [X0,X1,X2,X3,X4] : multiply(double_divide(X0,double_divide(X1,X2)),X3) = double_divide(multiply(X0,X4),double_divide(X4,multiply(X2,multiply(X3,X1)))),
inference(paramodulation,[status(thm)],[f26,f39]) ).
fof(f49,plain,
! [X0,X1,X2,X3] : multiply(double_divide(X0,X1),multiply(X1,X2)) = multiply(double_divide(X0,X3),multiply(X3,X2)),
inference(paramodulation,[status(thm)],[f39,f39]) ).
fof(f50,plain,
! [X0,X1,X2,X3,X4] : multiply(double_divide(double_divide(multiply(X0,X1),double_divide(X1,X2)),X3),multiply(X3,X4)) = double_divide(X2,double_divide(X0,X4)),
inference(paramodulation,[status(thm)],[f27,f39]) ).
fof(f65,plain,
! [X0,X1,X2,X3,X4] : multiply(X0,multiply(X1,X2)) = multiply(multiply(multiply(double_divide(X3,X4),multiply(X4,X0)),X1),multiply(X3,X2)),
inference(paramodulation,[status(thm)],[f39,f23]) ).
fof(f84,plain,
! [X0,X1,X2,X3] : multiply(multiply(X0,X1),multiply(X2,X3)) = multiply(multiply(X0,X2),multiply(X1,X3)),
inference(paramodulation,[status(thm)],[f41,f23]) ).
fof(f88,plain,
! [X0,X1,X2,X3] : multiply(X0,multiply(double_divide(X1,multiply(X0,X2)),multiply(X3,multiply(X2,X1)))) = X3,
inference(paramodulation,[status(thm)],[f41,f26]) ).
fof(f90,plain,
! [X0,X1,X2] : multiply(double_divide(X0,multiply(X1,X2)),multiply(X2,X0)) = inverse(X1),
inference(paramodulation,[status(thm)],[f41,f5]) ).
fof(f109,plain,
! [X0,X1,X2] : multiply(multiply(X0,X1),multiply(inverse(X0),X2)) = multiply(X1,X2),
inference(paramodulation,[status(thm)],[f90,f22]) ).
fof(f110,plain,
! [X0,X1,X2] : multiply(double_divide(X0,double_divide(X0,multiply(X1,X2))),inverse(X1)) = X2,
inference(paramodulation,[status(thm)],[f90,f26]) ).
fof(f113,plain,
! [X0,X1,X2,X3,X4] : multiply(double_divide(double_divide(X0,multiply(X1,X2)),X3),multiply(X3,X4)) = double_divide(inverse(X1),double_divide(multiply(X2,X0),X4)),
inference(paramodulation,[status(thm)],[f90,f39]) ).
fof(f117,plain,
! [X0,X1,X2,X3] : multiply(X0,multiply(inverse(double_divide(multiply(X1,X2),double_divide(X2,X0))),X3)) = multiply(X1,X3),
inference(paramodulation,[status(thm)],[f27,f109]) ).
fof(f118,plain,
! [X0,X1,X2,X3] : multiply(X0,multiply(multiply(double_divide(X1,X0),multiply(X2,X1)),X3)) = multiply(X2,X3),
inference(forward_demodulation,[status(thm)],[f5,f117]) ).
fof(f121,plain,
! [X0,X1,X2,X3] : multiply(X0,multiply(inverse(double_divide(X1,X2)),X3)) = multiply(multiply(X2,multiply(X0,X1)),X3),
inference(paramodulation,[status(thm)],[f26,f109]) ).
fof(f122,plain,
! [X0,X1,X2,X3] : multiply(X0,multiply(multiply(X1,X2),X3)) = multiply(multiply(X1,multiply(X0,X2)),X3),
inference(forward_demodulation,[status(thm)],[f5,f121]) ).
fof(f129,plain,
! [X0,X1,X2,X3] : multiply(multiply(X0,X1),X2) = multiply(X1,multiply(multiply(double_divide(X3,inverse(X0)),X2),X3)),
inference(paramodulation,[status(thm)],[f22,f109]) ).
fof(f142,plain,
! [X0,X1,X2,X3] : multiply(X0,multiply(X1,multiply(multiply(double_divide(X2,X0),X2),X3))) = multiply(X1,X3),
inference(backward_demodulation,[status(thm)],[f122,f118]) ).
fof(f143,plain,
! [X0,X1,X2,X3,X4] : multiply(X0,multiply(X1,X2)) = multiply(multiply(X3,multiply(multiply(double_divide(X4,X3),X0),X1)),multiply(X4,X2)),
inference(backward_demodulation,[status(thm)],[f122,f65]) ).
fof(f144,plain,
! [X0,X1,X2,X3,X4] : multiply(X0,multiply(X1,X2)) = multiply(multiply(double_divide(X3,X4),X0),multiply(multiply(X4,X1),multiply(X3,X2))),
inference(forward_demodulation,[status(thm)],[f122,f143]) ).
fof(f156,plain,
! [X0,X1,X2,X3] : multiply(double_divide(X0,double_divide(X0,X1)),inverse(double_divide(X2,X3))) = multiply(X3,multiply(X1,X2)),
inference(paramodulation,[status(thm)],[f26,f110]) ).
fof(f157,plain,
! [X0,X1,X2,X3] : multiply(double_divide(X0,double_divide(X0,X1)),multiply(X2,X3)) = multiply(X2,multiply(X1,X3)),
inference(forward_demodulation,[status(thm)],[f5,f156]) ).
fof(f162,plain,
! [X0,X1,X2,X3] : multiply(double_divide(X0,double_divide(X0,multiply(X1,X2))),inverse(multiply(X3,X1))) = multiply(inverse(X3),X2),
inference(paramodulation,[status(thm)],[f109,f110]) ).
fof(f163,plain,
! [X0,X1,X2,X3] : multiply(double_divide(X0,double_divide(X0,X1)),inverse(X2)) = multiply(multiply(double_divide(X3,X2),X1),X3),
inference(paramodulation,[status(thm)],[f22,f110]) ).
fof(f187,plain,
! [X0,X1,X2,X3,X4] : double_divide(X0,double_divide(inverse(X1),X2)) = double_divide(multiply(double_divide(X3,double_divide(X3,multiply(X1,X0))),X4),double_divide(X4,X2)),
inference(paramodulation,[status(thm)],[f110,f42]) ).
fof(f191,plain,
! [X0,X1,X2,X3,X4,X5] : double_divide(multiply(X0,multiply(X1,X2)),double_divide(X3,X4)) = double_divide(multiply(multiply(double_divide(X3,double_divide(X2,X0)),X1),X5),double_divide(X5,X4)),
inference(paramodulation,[status(thm)],[f23,f42]) ).
fof(f217,plain,
! [X0,X1,X2,X3,X4] : multiply(X0,multiply(X1,X2)) = multiply(multiply(double_divide(multiply(X3,X4),double_divide(X4,X0)),X1),multiply(X3,X2)),
inference(paramodulation,[status(thm)],[f42,f23]) ).
fof(f256,plain,
! [X0,X1,X2,X3,X4] : multiply(double_divide(X0,double_divide(X1,multiply(X2,X3))),inverse(X2)) = multiply(double_divide(X0,X4),multiply(X4,multiply(X3,X1))),
inference(paramodulation,[status(thm)],[f90,f49]) ).
fof(f346,plain,
! [X0,X1,X2] : multiply(X0,X1) = multiply(multiply(X2,inverse(X2)),multiply(X0,X1)),
inference(paramodulation,[status(thm)],[f109,f84]) ).
fof(f348,plain,
! [X0,X1,X2,X3,X4] : multiply(X0,multiply(X1,X2)) = multiply(multiply(double_divide(X3,double_divide(X3,multiply(X4,X0))),X1),multiply(inverse(X4),X2)),
inference(paramodulation,[status(thm)],[f110,f84]) ).
fof(f352,plain,
! [X0,X1,X2,X3,X4,X5] : multiply(multiply(double_divide(X0,X1),multiply(X1,X2)),multiply(X3,X4)) = multiply(multiply(double_divide(X0,X5),X3),multiply(multiply(X5,X2),X4)),
inference(paramodulation,[status(thm)],[f49,f84]) ).
fof(f353,plain,
! [X0,X1,X2,X3,X4,X5] : multiply(X0,multiply(multiply(double_divide(X1,X0),X2),multiply(X3,X4))) = multiply(multiply(double_divide(X1,X5),X3),multiply(multiply(X5,X2),X4)),
inference(forward_demodulation,[status(thm)],[f122,f352]) ).
fof(f359,plain,
! [X0,X1,X2,X3,X4] : multiply(multiply(X0,X1),multiply(X2,X3)) = multiply(multiply(multiply(X4,X0),X2),multiply(multiply(inverse(X4),X1),X3)),
inference(paramodulation,[status(thm)],[f109,f84]) ).
fof(f360,plain,
! [X0,X1,X2,X3,X4,X5] : multiply(multiply(multiply(X0,X1),multiply(X2,X3)),multiply(X4,X5)) = multiply(multiply(multiply(X0,X2),X4),multiply(multiply(X1,X3),X5)),
inference(paramodulation,[status(thm)],[f84,f84]) ).
fof(f361,plain,
! [X0,X1,X2,X3,X4,X5] : multiply(X0,multiply(multiply(multiply(X1,X2),X3),multiply(X4,X5))) = multiply(multiply(multiply(X1,X0),X4),multiply(multiply(X2,X3),X5)),
inference(forward_demodulation,[status(thm)],[f122,f360]) ).
fof(f367,plain,
! [X0,X1,X2,X3,X4] : multiply(multiply(X0,X1),X2) = multiply(multiply(X0,double_divide(X3,double_divide(X3,multiply(X4,X2)))),multiply(X1,inverse(X4))),
inference(paramodulation,[status(thm)],[f110,f84]) ).
fof(f368,plain,
! [X0,X1,X2,X3,X4] : multiply(multiply(X0,X1),inverse(X2)) = multiply(multiply(X0,double_divide(X3,multiply(X2,X4))),multiply(X1,multiply(X4,X3))),
inference(paramodulation,[status(thm)],[f90,f84]) ).
fof(f425,plain,
! [X0,X1,X2,X3,X4,X5] : double_divide(multiply(multiply(X0,X1),X2),double_divide(X2,X3)) = double_divide(multiply(multiply(X0,X4),multiply(X1,X5)),double_divide(multiply(X4,X5),X3)),
inference(paramodulation,[status(thm)],[f84,f42]) ).
fof(f463,plain,
! [X0,X1,X2,X3,X4] : multiply(multiply(X0,X1),multiply(X2,X3)) = multiply(X0,multiply(multiply(multiply(X4,inverse(X4)),X1),multiply(X2,X3))),
inference(backward_demodulation,[status(thm)],[f361,f359]) ).
fof(f471,plain,
! [X0,X1,X2,X3] : multiply(double_divide(multiply(X0,X1),double_divide(X1,X2)),X0) = multiply(multiply(X3,inverse(X3)),X2),
inference(paramodulation,[status(thm)],[f27,f346]) ).
fof(f472,plain,
! [X0,X1] : X0 = multiply(multiply(X1,inverse(X1)),X0),
inference(forward_demodulation,[status(thm)],[f27,f471]) ).
fof(f526,plain,
! [X0,X1,X2,X3] : multiply(double_divide(multiply(X0,X1),double_divide(multiply(X0,X1),X2)),multiply(X3,inverse(X3))) = X2,
inference(paramodulation,[status(thm)],[f346,f27]) ).
fof(f527,plain,
! [X0,X1] : multiply(X0,multiply(X1,inverse(X0))) = X1,
inference(forward_demodulation,[status(thm)],[f157,f526]) ).
fof(f528,plain,
! [X0,X1,X2,X3] : multiply(double_divide(multiply(X0,X1),X2),multiply(X2,multiply(X0,X1))) = multiply(X3,inverse(X3)),
inference(paramodulation,[status(thm)],[f346,f26]) ).
fof(f529,plain,
! [X0,X1,X2,X3] : multiply(multiply(X0,X1),multiply(X2,X3)) = multiply(X0,multiply(X1,multiply(X2,X3))),
inference(backward_demodulation,[status(thm)],[f472,f463]) ).
fof(f531,plain,
! [X0,X1,X2,X3] : multiply(multiply(X0,X1),multiply(X2,X3)) = multiply(X0,multiply(X2,multiply(X1,X3))),
inference(backward_demodulation,[status(thm)],[f529,f84]) ).
fof(f532,plain,
! [X0,X1,X2,X3] : multiply(X0,multiply(X1,multiply(X2,X3))) = multiply(X0,multiply(X2,multiply(X1,X3))),
inference(forward_demodulation,[status(thm)],[f529,f531]) ).
fof(f543,plain,
! [X0,X1,X2,X3,X4] : multiply(X0,multiply(X1,X2)) = multiply(double_divide(multiply(X3,X4),double_divide(X4,X0)),multiply(X1,multiply(X3,X2))),
inference(backward_demodulation,[status(thm)],[f529,f217]) ).
fof(f546,plain,
! [X0,X1,X2,X3,X4] : multiply(X0,multiply(X1,X2)) = multiply(double_divide(X3,double_divide(X3,multiply(X4,X0))),multiply(X1,multiply(inverse(X4),X2))),
inference(backward_demodulation,[status(thm)],[f529,f348]) ).
fof(f547,plain,
! [X0,X1,X2,X3] : multiply(X0,multiply(X1,X2)) = multiply(X1,multiply(multiply(X3,X0),multiply(inverse(X3),X2))),
inference(forward_demodulation,[status(thm)],[f157,f546]) ).
fof(f548,plain,
! [X0,X1,X2,X3] : multiply(X0,multiply(X1,X2)) = multiply(X1,multiply(inverse(X3),multiply(multiply(X3,X0),X2))),
inference(forward_demodulation,[status(thm)],[f532,f547]) ).
fof(f553,plain,
! [X0,X1,X2,X3,X4] : multiply(X0,multiply(X1,X2)) = multiply(double_divide(X3,X4),multiply(X0,multiply(multiply(X4,X1),multiply(X3,X2)))),
inference(backward_demodulation,[status(thm)],[f529,f144]) ).
fof(f554,plain,
! [X0,X1,X2,X3,X4] : multiply(X0,multiply(X1,X2)) = multiply(double_divide(X3,X4),multiply(X0,multiply(X4,multiply(X1,multiply(X3,X2))))),
inference(forward_demodulation,[status(thm)],[f529,f553]) ).
fof(f556,plain,
! [X0,X1,X2,X3,X4,X5] : multiply(X0,multiply(multiply(double_divide(X1,X0),X2),multiply(X3,X4))) = multiply(double_divide(X1,X5),multiply(X3,multiply(multiply(X5,X2),X4))),
inference(backward_demodulation,[status(thm)],[f529,f353]) ).
fof(f557,plain,
! [X0,X1,X2,X3,X4,X5] : multiply(X0,multiply(double_divide(X1,X0),multiply(X2,multiply(X3,X4)))) = multiply(double_divide(X1,X5),multiply(X3,multiply(multiply(X5,X2),X4))),
inference(forward_demodulation,[status(thm)],[f529,f556]) ).
fof(f564,plain,
! [X0,X1,X2,X3,X4] : multiply(multiply(X0,X1),inverse(X2)) = multiply(X0,multiply(double_divide(X3,multiply(X2,X4)),multiply(X1,multiply(X4,X3)))),
inference(backward_demodulation,[status(thm)],[f529,f368]) ).
fof(f565,plain,
! [X0,X1,X2,X3,X4] : multiply(multiply(X0,X1),X2) = multiply(X0,multiply(double_divide(X3,double_divide(X3,multiply(X4,X2))),multiply(X1,inverse(X4)))),
inference(backward_demodulation,[status(thm)],[f529,f367]) ).
fof(f566,plain,
! [X0,X1,X2,X3] : multiply(multiply(X0,X1),X2) = multiply(X0,multiply(X1,multiply(multiply(X3,X2),inverse(X3)))),
inference(forward_demodulation,[status(thm)],[f157,f565]) ).
fof(f592,plain,
! [X0,X1,X2,X3,X4,X5] : double_divide(multiply(multiply(X0,X1),X2),double_divide(X2,X3)) = double_divide(multiply(X0,multiply(X4,multiply(X1,X5))),double_divide(multiply(X4,X5),X3)),
inference(backward_demodulation,[status(thm)],[f529,f425]) ).
fof(f595,plain,
! [X0,X1] : multiply(multiply(X0,X1),inverse(X0)) = X1,
inference(backward_demodulation,[status(thm)],[f564,f88]) ).
fof(f596,plain,
! [X0,X1,X2] : multiply(multiply(X0,X1),X2) = multiply(X0,multiply(X1,X2)),
inference(backward_demodulation,[status(thm)],[f595,f566]) ).
fof(f608,plain,
! [X0,X1,X2,X3,X4,X5] : double_divide(multiply(X0,multiply(X1,X2)),double_divide(X3,X4)) = double_divide(multiply(double_divide(X3,double_divide(X2,X0)),multiply(X1,X5)),double_divide(X5,X4)),
inference(backward_demodulation,[status(thm)],[f596,f191]) ).
fof(f609,plain,
! [X0,X1,X2,X3] : multiply(multiply(X0,X1),X2) = multiply(X1,multiply(double_divide(X3,inverse(X0)),multiply(X2,X3))),
inference(backward_demodulation,[status(thm)],[f596,f129]) ).
fof(f610,plain,
! [X0,X1,X2,X3] : multiply(X0,multiply(X1,X2)) = multiply(X1,multiply(double_divide(X3,inverse(X0)),multiply(X2,X3))),
inference(forward_demodulation,[status(thm)],[f596,f609]) ).
fof(f621,plain,
! [X0,X1,X2,X3] : multiply(double_divide(X0,double_divide(X0,X1)),inverse(X2)) = multiply(double_divide(X3,X2),multiply(X1,X3)),
inference(backward_demodulation,[status(thm)],[f596,f163]) ).
fof(f622,plain,
! [X0,X1,X2,X3] : multiply(X0,multiply(X1,multiply(double_divide(X2,X0),multiply(X2,X3)))) = multiply(X1,X3),
inference(backward_demodulation,[status(thm)],[f596,f142]) ).
fof(f623,plain,
! [X0,X1,X2,X3] : multiply(X0,multiply(X1,multiply(X2,multiply(double_divide(X2,X0),X3)))) = multiply(X1,X3),
inference(forward_demodulation,[status(thm)],[f532,f622]) ).
fof(f631,plain,
! [X0,X1,X2,X3] : multiply(double_divide(multiply(double_divide(X0,X1),multiply(X2,X0)),X3),multiply(X3,X2)) = X1,
inference(backward_demodulation,[status(thm)],[f596,f31]) ).
fof(f632,plain,
! [X0,X1] : double_divide(X0,double_divide(X0,X1)) = X1,
inference(forward_demodulation,[status(thm)],[f29,f631]) ).
fof(f633,plain,
! [X0,X1] : X0 = multiply(X1,multiply(inverse(X1),X0)),
inference(backward_demodulation,[status(thm)],[f596,f472]) ).
fof(f641,plain,
! [X0,X1,X2,X3,X4,X5] : double_divide(multiply(X0,multiply(X1,X2)),double_divide(X2,X3)) = double_divide(multiply(X0,multiply(X4,multiply(X1,X5))),double_divide(multiply(X4,X5),X3)),
inference(backward_demodulation,[status(thm)],[f596,f592]) ).
fof(f652,plain,
! [X0,X1,X2,X3,X4,X5] : multiply(X0,multiply(double_divide(X1,X0),multiply(X2,multiply(X3,X4)))) = multiply(double_divide(X1,X5),multiply(X3,multiply(X5,multiply(X2,X4)))),
inference(backward_demodulation,[status(thm)],[f596,f557]) ).
fof(f656,plain,
! [X0,X1,X2,X3] : multiply(X0,multiply(X1,X2)) = multiply(X1,multiply(inverse(X3),multiply(X3,multiply(X0,X2)))),
inference(backward_demodulation,[status(thm)],[f596,f548]) ).
fof(f657,plain,
! [X0,X1,X2,X3] : multiply(X0,multiply(X1,X2)) = multiply(X1,multiply(X3,multiply(inverse(X3),multiply(X0,X2)))),
inference(forward_demodulation,[status(thm)],[f532,f656]) ).
fof(f658,plain,
! [X0,X1,X2] : multiply(X0,multiply(X1,X2)) = multiply(X1,multiply(X0,X2)),
inference(forward_demodulation,[status(thm)],[f633,f657]) ).
fof(f677,plain,
! [X0,X1,X2,X3] : multiply(double_divide(X0,double_divide(multiply(X1,multiply(X0,X2)),double_divide(X2,X3))),X3) = X1,
inference(backward_demodulation,[status(thm)],[f596,f38]) ).
fof(f695,plain,
! [X0,X1,X2,X3] : double_divide(X0,double_divide(inverse(X1),X2)) = double_divide(multiply(multiply(X1,X0),X3),double_divide(X3,X2)),
inference(backward_demodulation,[status(thm)],[f632,f187]) ).
fof(f696,plain,
! [X0,X1,X2,X3] : double_divide(X0,double_divide(inverse(X1),X2)) = double_divide(multiply(X1,multiply(X0,X3)),double_divide(X3,X2)),
inference(forward_demodulation,[status(thm)],[f596,f695]) ).
fof(f706,plain,
! [X0,X1,X2] : multiply(multiply(X0,X1),inverse(multiply(X2,X0))) = multiply(inverse(X2),X1),
inference(backward_demodulation,[status(thm)],[f632,f162]) ).
fof(f707,plain,
! [X0,X1,X2] : multiply(X0,multiply(X1,inverse(multiply(X2,X0)))) = multiply(inverse(X2),X1),
inference(forward_demodulation,[status(thm)],[f596,f706]) ).
fof(f708,plain,
! [X0,X1,X2] : multiply(X0,inverse(X1)) = multiply(double_divide(X2,X1),multiply(X0,X2)),
inference(backward_demodulation,[status(thm)],[f632,f621]) ).
fof(f713,plain,
! [X0,X1,X2,X3,X4] : double_divide(multiply(X0,multiply(X1,X2)),double_divide(X3,X4)) = double_divide(X1,double_divide(inverse(double_divide(X3,double_divide(X2,X0))),X4)),
inference(backward_demodulation,[status(thm)],[f696,f608]) ).
fof(f714,plain,
! [X0,X1,X2,X3,X4] : double_divide(multiply(X0,multiply(X1,X2)),double_divide(X3,X4)) = double_divide(X1,double_divide(multiply(double_divide(X2,X0),X3),X4)),
inference(forward_demodulation,[status(thm)],[f5,f713]) ).
fof(f719,plain,
! [X0,X1,X2] : multiply(double_divide(X0,double_divide(X0,double_divide(inverse(X1),X2))),X2) = X1,
inference(backward_demodulation,[status(thm)],[f696,f677]) ).
fof(f720,plain,
! [X0,X1] : multiply(double_divide(inverse(X0),X1),X1) = X0,
inference(forward_demodulation,[status(thm)],[f632,f719]) ).
fof(f725,plain,
! [X0,X1,X2,X3,X4] : double_divide(X0,double_divide(inverse(X1),X2)) = double_divide(multiply(X1,multiply(X3,multiply(X0,X4))),double_divide(multiply(X3,X4),X2)),
inference(backward_demodulation,[status(thm)],[f696,f641]) ).
fof(f726,plain,
! [X0,X1,X2,X3,X4] : double_divide(X0,double_divide(inverse(X1),X2)) = double_divide(X3,double_divide(multiply(double_divide(multiply(X0,X4),X1),multiply(X3,X4)),X2)),
inference(forward_demodulation,[status(thm)],[f714,f725]) ).
fof(f729,plain,
! [X0,X1] : multiply(X0,inverse(X0)) = multiply(X1,inverse(X1)),
inference(backward_demodulation,[status(thm)],[f708,f528]) ).
fof(f730,plain,
! [X0,X1,X2] : multiply(X0,multiply(X1,X2)) = multiply(X1,multiply(X2,inverse(inverse(X0)))),
inference(backward_demodulation,[status(thm)],[f708,f610]) ).
fof(f798,plain,
! [X0,X1,X2] : double_divide(multiply(X0,X1),X2) = double_divide(X1,multiply(X2,X0)),
inference(paramodulation,[status(thm)],[f41,f632]) ).
fof(f827,plain,
! [X0,X1] : multiply(double_divide(X0,X1),X0) = inverse(X1),
inference(paramodulation,[status(thm)],[f632,f5]) ).
fof(f850,plain,
! [X0,X1,X2,X3,X4] : double_divide(X0,double_divide(inverse(X1),X2)) = double_divide(X3,double_divide(multiply(X3,X4),multiply(X2,double_divide(multiply(X0,X4),X1)))),
inference(backward_demodulation,[status(thm)],[f798,f726]) ).
fof(f851,plain,
! [X0,X1,X2,X3,X4] : double_divide(X0,double_divide(inverse(X1),X2)) = double_divide(X3,double_divide(X4,multiply(multiply(X2,double_divide(multiply(X0,X4),X1)),X3))),
inference(forward_demodulation,[status(thm)],[f798,f850]) ).
fof(f852,plain,
! [X0,X1,X2,X3,X4] : double_divide(X0,double_divide(inverse(X1),X2)) = double_divide(X3,double_divide(X4,multiply(X2,multiply(double_divide(multiply(X0,X4),X1),X3)))),
inference(forward_demodulation,[status(thm)],[f596,f851]) ).
fof(f853,plain,
! [X0,X1,X2,X3,X4] : double_divide(X0,double_divide(inverse(X1),X2)) = double_divide(X3,double_divide(X4,multiply(X2,multiply(double_divide(X4,multiply(X1,X0)),X3)))),
inference(forward_demodulation,[status(thm)],[f798,f852]) ).
fof(f972,plain,
! [X0,X1,X2,X3,X4] : multiply(double_divide(X0,double_divide(X1,X2)),X3) = double_divide(X4,multiply(double_divide(X4,multiply(X2,multiply(X3,X1))),X0)),
inference(backward_demodulation,[status(thm)],[f798,f45]) ).
fof(f987,plain,
! [X0,X1,X2,X3,X4] : multiply(X0,multiply(X1,X2)) = multiply(double_divide(X3,multiply(double_divide(X3,X0),X4)),multiply(X1,multiply(X4,X2))),
inference(backward_demodulation,[status(thm)],[f798,f543]) ).
fof(f1009,plain,
! [X0,X1,X2,X3,X4] : multiply(double_divide(double_divide(X0,multiply(double_divide(X0,X1),X2)),X3),multiply(X3,X4)) = double_divide(X1,double_divide(X2,X4)),
inference(backward_demodulation,[status(thm)],[f798,f50]) ).
fof(f1010,plain,
! [X0,X1,X2,X3] : double_divide(inverse(double_divide(X0,X1)),double_divide(multiply(X2,X0),X3)) = double_divide(X1,double_divide(X2,X3)),
inference(forward_demodulation,[status(thm)],[f113,f1009]) ).
fof(f1011,plain,
! [X0,X1,X2,X3] : double_divide(multiply(X0,X1),double_divide(multiply(X2,X1),X3)) = double_divide(X0,double_divide(X2,X3)),
inference(forward_demodulation,[status(thm)],[f5,f1010]) ).
fof(f1012,plain,
! [X0,X1,X2,X3] : double_divide(X0,multiply(double_divide(multiply(X1,X0),X2),X3)) = double_divide(X3,double_divide(X1,X2)),
inference(forward_demodulation,[status(thm)],[f798,f1011]) ).
fof(f1013,plain,
! [X0,X1,X2,X3] : double_divide(X0,multiply(double_divide(X0,multiply(X1,X2)),X3)) = double_divide(X3,double_divide(X2,X1)),
inference(forward_demodulation,[status(thm)],[f798,f1012]) ).
fof(f1021,plain,
! [X0,X1,X2,X3,X4] : multiply(double_divide(X0,multiply(double_divide(X0,multiply(double_divide(X1,X2),X3)),X4)),multiply(X2,multiply(X4,X1))) = X3,
inference(backward_demodulation,[status(thm)],[f798,f28]) ).
fof(f1022,plain,
! [X0,X1,X2] : multiply(multiply(double_divide(X0,X1),X2),multiply(X1,X0)) = X2,
inference(forward_demodulation,[status(thm)],[f987,f1021]) ).
fof(f1023,plain,
! [X0,X1,X2] : multiply(double_divide(X0,X1),multiply(X2,multiply(X1,X0))) = X2,
inference(forward_demodulation,[status(thm)],[f596,f1022]) ).
fof(f1045,plain,
! [X0,X1,X2,X3] : multiply(double_divide(X0,double_divide(X1,X2)),X3) = double_divide(X0,double_divide(multiply(X3,X1),X2)),
inference(backward_demodulation,[status(thm)],[f1013,f972]) ).
fof(f1046,plain,
! [X0,X1,X2,X3] : multiply(double_divide(X0,double_divide(X1,X2)),X3) = double_divide(X0,double_divide(X1,multiply(X2,X3))),
inference(forward_demodulation,[status(thm)],[f798,f1045]) ).
fof(f1075,plain,
! [X0,X1,X2,X3,X4] : double_divide(X0,double_divide(X1,multiply(multiply(X2,X3),inverse(X2)))) = multiply(double_divide(X0,X4),multiply(X4,multiply(X3,X1))),
inference(backward_demodulation,[status(thm)],[f1046,f256]) ).
fof(f1076,plain,
! [X0,X1,X2,X3,X4] : double_divide(X0,double_divide(X1,multiply(X2,multiply(X3,inverse(X2))))) = multiply(double_divide(X0,X4),multiply(X4,multiply(X3,X1))),
inference(forward_demodulation,[status(thm)],[f596,f1075]) ).
fof(f1077,plain,
! [X0,X1,X2,X3] : double_divide(X0,double_divide(X1,X2)) = multiply(double_divide(X0,X3),multiply(X3,multiply(X2,X1))),
inference(forward_demodulation,[status(thm)],[f527,f1076]) ).
fof(f1078,plain,
! [X0,X1,X2,X3] : double_divide(X0,double_divide(X1,X2)) = multiply(X3,multiply(double_divide(X0,X3),multiply(X2,X1))),
inference(forward_demodulation,[status(thm)],[f658,f1077]) ).
fof(f1118,plain,
! [X0,X1,X2,X3,X4] : double_divide(X0,double_divide(multiply(X1,X2),X3)) = multiply(double_divide(X0,X4),multiply(X1,multiply(X4,multiply(X3,X2)))),
inference(backward_demodulation,[status(thm)],[f1078,f652]) ).
fof(f1119,plain,
! [X0,X1,X2,X3,X4] : double_divide(X0,double_divide(X1,multiply(X2,X3))) = multiply(double_divide(X0,X4),multiply(X3,multiply(X4,multiply(X2,X1)))),
inference(forward_demodulation,[status(thm)],[f798,f1118]) ).
fof(f1120,plain,
! [X0,X1,X2,X3] : multiply(X0,multiply(X1,X2)) = double_divide(X3,double_divide(multiply(X3,X2),multiply(X1,X0))),
inference(backward_demodulation,[status(thm)],[f1119,f554]) ).
fof(f1121,plain,
! [X0,X1,X2,X3] : multiply(X0,multiply(X1,X2)) = double_divide(X3,double_divide(X2,multiply(multiply(X1,X0),X3))),
inference(forward_demodulation,[status(thm)],[f798,f1120]) ).
fof(f1122,plain,
! [X0,X1,X2,X3] : multiply(X0,multiply(X1,X2)) = double_divide(X3,double_divide(X2,multiply(X1,multiply(X0,X3)))),
inference(forward_demodulation,[status(thm)],[f596,f1121]) ).
fof(f1125,plain,
! [X0,X1,X2,X3] : double_divide(X0,double_divide(inverse(X1),X2)) = multiply(double_divide(X3,multiply(X1,X0)),multiply(X2,X3)),
inference(backward_demodulation,[status(thm)],[f1122,f853]) ).
fof(f1126,plain,
! [X0,X1,X2] : double_divide(X0,double_divide(inverse(X1),X2)) = multiply(X2,inverse(multiply(X1,X0))),
inference(forward_demodulation,[status(thm)],[f708,f1125]) ).
fof(f1136,plain,
! [X0,X1,X2] : multiply(X0,double_divide(X0,double_divide(inverse(X1),X2))) = multiply(inverse(X1),X2),
inference(backward_demodulation,[status(thm)],[f1126,f707]) ).
fof(f1175,plain,
! [X0,X1,X2,X3] : multiply(double_divide(multiply(X0,multiply(X1,X2)),double_divide(X2,X0)),multiply(X3,X1)) = X3,
inference(paramodulation,[status(thm)],[f26,f1023]) ).
fof(f1176,plain,
! [X0,X1,X2,X3] : double_divide(multiply(X0,multiply(X1,X2)),double_divide(X2,multiply(X0,multiply(X3,X1)))) = X3,
inference(forward_demodulation,[status(thm)],[f1046,f1175]) ).
fof(f1177,plain,
! [X0,X1,X2,X3] : double_divide(multiply(X0,X1),multiply(double_divide(X1,multiply(X2,multiply(X3,X0))),X2)) = X3,
inference(forward_demodulation,[status(thm)],[f798,f1176]) ).
fof(f1178,plain,
! [X0,X1,X2,X3] : double_divide(X0,multiply(multiply(double_divide(X0,multiply(X1,multiply(X2,X3))),X1),X3)) = X2,
inference(forward_demodulation,[status(thm)],[f798,f1177]) ).
fof(f1179,plain,
! [X0,X1,X2,X3] : double_divide(X0,multiply(double_divide(X0,multiply(X1,multiply(X2,X3))),multiply(X1,X3))) = X2,
inference(forward_demodulation,[status(thm)],[f596,f1178]) ).
fof(f1180,plain,
! [X0,X1,X2] : double_divide(multiply(X0,X1),double_divide(multiply(X2,X1),X0)) = X2,
inference(forward_demodulation,[status(thm)],[f1013,f1179]) ).
fof(f1181,plain,
! [X0,X1,X2] : double_divide(X0,multiply(double_divide(multiply(X1,X0),X2),X2)) = X1,
inference(forward_demodulation,[status(thm)],[f798,f1180]) ).
fof(f1182,plain,
! [X0,X1,X2] : double_divide(X0,multiply(double_divide(X0,multiply(X1,X2)),X1)) = X2,
inference(forward_demodulation,[status(thm)],[f798,f1181]) ).
fof(f1183,plain,
! [X0,X1] : double_divide(X0,double_divide(X1,X0)) = X1,
inference(forward_demodulation,[status(thm)],[f1013,f1182]) ).
fof(f1222,plain,
! [X0,X1,X2] : multiply(double_divide(X0,X1),X2) = double_divide(inverse(X2),multiply(X1,X0)),
inference(paramodulation,[status(thm)],[f720,f1023]) ).
fof(f1231,plain,
! [X0,X1,X2,X3] : multiply(double_divide(X0,X1),multiply(X1,X2)) = multiply(double_divide(X0,double_divide(inverse(X3),X2)),X3),
inference(paramodulation,[status(thm)],[f720,f49]) ).
fof(f1232,plain,
! [X0,X1,X2,X3] : multiply(X0,multiply(double_divide(X1,X0),X2)) = multiply(double_divide(X1,double_divide(inverse(X3),X2)),X3),
inference(forward_demodulation,[status(thm)],[f658,f1231]) ).
fof(f1233,plain,
! [X0,X1,X2,X3] : multiply(X0,multiply(double_divide(X1,X0),X2)) = double_divide(X1,double_divide(inverse(X3),multiply(X2,X3))),
inference(forward_demodulation,[status(thm)],[f1046,f1232]) ).
fof(f1234,plain,
! [X0,X1,X2,X3] : multiply(X0,multiply(double_divide(X1,X0),X2)) = double_divide(X1,multiply(double_divide(X3,X2),X3)),
inference(forward_demodulation,[status(thm)],[f1222,f1233]) ).
fof(f1235,plain,
! [X0,X1,X2] : multiply(X0,multiply(double_divide(X1,X0),X2)) = double_divide(X1,inverse(X2)),
inference(forward_demodulation,[status(thm)],[f827,f1234]) ).
fof(f1307,plain,
! [X0,X1,X2,X3] : multiply(double_divide(X0,X1),multiply(X1,X2)) = multiply(X3,multiply(double_divide(X3,X0),X2)),
inference(paramodulation,[status(thm)],[f1183,f49]) ).
fof(f1308,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)],[f658,f1307]) ).
fof(f1309,plain,
! [X0,X1,X2] : double_divide(X0,inverse(X1)) = multiply(X2,multiply(double_divide(X2,X0),X1)),
inference(forward_demodulation,[status(thm)],[f1235,f1308]) ).
fof(f1316,plain,
! [X0,X1] : multiply(double_divide(X0,X1),X1) = inverse(X0),
inference(paramodulation,[status(thm)],[f1183,f5]) ).
fof(f1322,plain,
! [X0,X1,X2] : multiply(X0,multiply(X1,double_divide(X0,inverse(X2)))) = multiply(X1,X2),
inference(backward_demodulation,[status(thm)],[f1309,f623]) ).
fof(f1323,plain,
! [X0] : inverse(inverse(X0)) = X0,
inference(backward_demodulation,[status(thm)],[f1316,f720]) ).
fof(f1326,plain,
! [X0,X1,X2] : multiply(X0,multiply(X1,X2)) = multiply(X1,multiply(X2,X0)),
inference(backward_demodulation,[status(thm)],[f1323,f730]) ).
fof(f1333,plain,
! [X0,X1] : inverse(multiply(X0,X1)) = double_divide(X1,X0),
inference(paramodulation,[status(thm)],[f5,f1323]) ).
fof(f1339,plain,
! [X0,X1,X2] : double_divide(X0,double_divide(inverse(X1),X2)) = multiply(X2,double_divide(X0,X1)),
inference(backward_demodulation,[status(thm)],[f1333,f1126]) ).
fof(f1347,plain,
! [X0,X1,X2] : multiply(X0,multiply(X1,double_divide(X0,X2))) = multiply(inverse(X2),X1),
inference(backward_demodulation,[status(thm)],[f1339,f1136]) ).
fof(f1354,plain,
! [X0,X1] : multiply(inverse(inverse(X0)),X1) = multiply(X1,X0),
inference(backward_demodulation,[status(thm)],[f1347,f1322]) ).
fof(f1355,plain,
! [X0,X1] : multiply(X0,X1) = multiply(X1,X0),
inference(forward_demodulation,[status(thm)],[f1323,f1354]) ).
fof(f1360,plain,
( $false
| spl0_3 ),
inference(backward_subsumption_resolution,[status(thm)],[f18,f1355]) ).
fof(f1361,plain,
spl0_3,
inference(contradiction_clause,[status(thm)],[f1360]) ).
fof(f1362,plain,
( multiply(a3,multiply(b3,c3)) != multiply(a3,multiply(b3,c3))
| spl0_2 ),
inference(forward_demodulation,[status(thm)],[f596,f15]) ).
fof(f1363,plain,
( $false
| spl0_2 ),
inference(trivial_equality_resolution,[status(esa)],[f1362]) ).
fof(f1364,plain,
spl0_2,
inference(contradiction_clause,[status(thm)],[f1363]) ).
fof(f1365,plain,
( multiply(a1,inverse(a1)) != multiply(inverse(b1),b1)
| spl0_0 ),
inference(forward_demodulation,[status(thm)],[f1355,f9]) ).
fof(f1366,plain,
( multiply(a1,inverse(a1)) != multiply(b1,inverse(b1))
| spl0_0 ),
inference(forward_demodulation,[status(thm)],[f1355,f1365]) ).
fof(f1367,plain,
( $false
| spl0_0 ),
inference(forward_subsumption_resolution,[status(thm)],[f1366,f729]) ).
fof(f1368,plain,
spl0_0,
inference(contradiction_clause,[status(thm)],[f1367]) ).
fof(f1369,plain,
( multiply(inverse(b2),multiply(b2,a2)) != a2
| spl0_1 ),
inference(forward_demodulation,[status(thm)],[f596,f12]) ).
fof(f1370,plain,
( multiply(a2,multiply(inverse(b2),b2)) != a2
| spl0_1 ),
inference(forward_demodulation,[status(thm)],[f1326,f1369]) ).
fof(f1371,plain,
( multiply(b2,multiply(a2,inverse(b2))) != a2
| spl0_1 ),
inference(forward_demodulation,[status(thm)],[f1326,f1370]) ).
fof(f1372,plain,
( a2 != a2
| spl0_1 ),
inference(forward_demodulation,[status(thm)],[f527,f1371]) ).
fof(f1373,plain,
( $false
| spl0_1 ),
inference(trivial_equality_resolution,[status(esa)],[f1372]) ).
fof(f1374,plain,
spl0_1,
inference(contradiction_clause,[status(thm)],[f1373]) ).
fof(f1375,plain,
$false,
inference(sat_refutation,[status(thm)],[f19,f1361,f1364,f1368,f1374]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.06 % Problem : GRP108-1 : TPTP v8.1.2. Bugfixed v2.7.0.
% 0.00/0.07 % Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.06/0.25 % Computer : n029.cluster.edu
% 0.06/0.25 % Model : x86_64 x86_64
% 0.06/0.25 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.06/0.25 % Memory : 8042.1875MB
% 0.06/0.25 % OS : Linux 3.10.0-693.el7.x86_64
% 0.06/0.25 % CPULimit : 300
% 0.06/0.25 % WCLimit : 300
% 0.06/0.25 % DateTime : Tue May 30 11:43:21 EDT 2023
% 0.06/0.25 % CPUTime :
% 0.06/0.26 % Drodi V3.5.1
% 0.09/0.30 % Refutation found
% 0.09/0.30 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.09/0.30 % SZS output start CNFRefutation for theBenchmark
% See solution above
% 0.09/0.32 % Elapsed time: 0.062233 seconds
% 0.09/0.32 % CPU time: 0.403039 seconds
% 0.09/0.32 % Memory used: 30.370 MB
%------------------------------------------------------------------------------