TSTP Solution File: GRP413-1 by Drodi---3.6.0
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Drodi---3.6.0
% Problem : GRP413-1 : TPTP v8.1.2. Released v2.6.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% Computer : n025.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Tue Apr 30 20:20:22 EDT 2024
% Result : Unsatisfiable 47.70s 6.42s
% Output : CNFRefutation 48.69s
% Verified :
% SZS Type : Refutation
% Derivation depth : 63
% Number of leaves : 2
% Syntax : Number of formulae : 90 ( 90 unt; 0 def)
% Number of atoms : 90 ( 89 equ)
% Maximal formula atoms : 1 ( 1 avg)
% Number of connectives : 4 ( 4 ~; 0 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 7 ( 4 avg)
% Maximal term depth : 17 ( 3 avg)
% Number of predicates : 2 ( 0 usr; 1 prp; 0-2 aty)
% Number of functors : 4 ( 4 usr; 2 con; 0-2 aty)
% Number of variables : 227 ( 227 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
! [A,B,C] : multiply(A,inverse(multiply(multiply(multiply(inverse(B),B),inverse(multiply(inverse(multiply(A,inverse(B))),C))),B))) = C,
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f2,negated_conjecture,
multiply(multiply(inverse(b2),b2),a2) != a2,
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f3,plain,
! [X0,X1,X2] : multiply(X0,inverse(multiply(multiply(multiply(inverse(X1),X1),inverse(multiply(inverse(multiply(X0,inverse(X1))),X2))),X1))) = X2,
inference(cnf_transformation,[status(esa)],[f1]) ).
fof(f4,plain,
multiply(multiply(inverse(b2),b2),a2) != a2,
inference(cnf_transformation,[status(esa)],[f2]) ).
fof(f5,plain,
! [X0,X1,X2,X3] : multiply(X0,inverse(multiply(multiply(multiply(inverse(X1),X1),inverse(X2)),X1))) = inverse(multiply(multiply(multiply(inverse(X3),X3),inverse(multiply(inverse(multiply(inverse(multiply(X0,inverse(X1))),inverse(X3))),X2))),X3)),
inference(paramodulation,[status(thm)],[f3,f3]) ).
fof(f6,plain,
! [X0,X1,X2,X3] : multiply(X0,inverse(multiply(multiply(multiply(inverse(multiply(multiply(multiply(inverse(X1),X1),inverse(multiply(inverse(multiply(X0,inverse(X1))),X2))),X1)),multiply(multiply(multiply(inverse(X1),X1),inverse(multiply(inverse(multiply(X0,inverse(X1))),X2))),X1)),inverse(multiply(inverse(X2),X3))),multiply(multiply(multiply(inverse(X1),X1),inverse(multiply(inverse(multiply(X0,inverse(X1))),X2))),X1)))) = X3,
inference(paramodulation,[status(thm)],[f3,f3]) ).
fof(f7,plain,
! [X0,X1,X2,X3] : X0 = inverse(multiply(multiply(multiply(inverse(X1),X1),inverse(multiply(inverse(multiply(inverse(multiply(X2,inverse(X3))),inverse(X1))),multiply(inverse(multiply(X2,inverse(X3))),X0)))),X1)),
inference(paramodulation,[status(thm)],[f3,f5]) ).
fof(f8,plain,
! [X0,X1,X2,X3,X4] : inverse(multiply(multiply(multiply(inverse(X0),X0),inverse(multiply(inverse(multiply(inverse(multiply(X1,inverse(X2))),inverse(X0))),X3))),X0)) = inverse(multiply(multiply(multiply(inverse(X4),X4),inverse(multiply(inverse(multiply(inverse(multiply(X1,inverse(X2))),inverse(X4))),X3))),X4)),
inference(paramodulation,[status(thm)],[f5,f5]) ).
fof(f12,plain,
! [X0,X1,X2,X3,X4,X5] : multiply(X0,inverse(multiply(inverse(multiply(multiply(multiply(inverse(X1),X1),inverse(multiply(inverse(multiply(inverse(multiply(multiply(inverse(X2),X2),inverse(X3))),inverse(X1))),X4))),X1)),X2))) = inverse(multiply(multiply(multiply(inverse(X5),X5),inverse(multiply(inverse(multiply(inverse(multiply(X0,inverse(X2))),inverse(X5))),multiply(multiply(multiply(inverse(X3),X3),inverse(X4)),X3)))),X5)),
inference(paramodulation,[status(thm)],[f5,f5]) ).
fof(f33,plain,
! [X0,X1,X2] : multiply(inverse(multiply(X0,inverse(X1))),multiply(X0,inverse(multiply(multiply(multiply(inverse(X1),X1),inverse(X2)),X1)))) = X2,
inference(paramodulation,[status(thm)],[f5,f3]) ).
fof(f42,plain,
! [X0,X1,X2,X3,X4] : multiply(inverse(multiply(X0,inverse(X1))),multiply(X0,multiply(X2,inverse(multiply(multiply(multiply(inverse(X3),X3),inverse(X4)),X3))))) = multiply(inverse(multiply(inverse(multiply(X2,inverse(X3))),inverse(X1))),X4),
inference(paramodulation,[status(thm)],[f5,f33]) ).
fof(f58,plain,
! [X0,X1,X2,X3,X4,X5] : X0 = inverse(multiply(multiply(multiply(inverse(X1),X1),inverse(multiply(inverse(multiply(X2,inverse(X1))),multiply(inverse(multiply(multiply(multiply(inverse(inverse(X3)),inverse(X3)),inverse(multiply(inverse(multiply(inverse(multiply(X4,inverse(X5))),inverse(inverse(X3)))),multiply(inverse(multiply(X4,inverse(X5))),X2)))),inverse(X3))),X0)))),X1)),
inference(paramodulation,[status(thm)],[f7,f7]) ).
fof(f59,plain,
! [X0,X1,X2] : X0 = inverse(multiply(multiply(multiply(inverse(X1),X1),inverse(multiply(inverse(multiply(X2,inverse(X1))),multiply(X2,X0)))),X1)),
inference(forward_demodulation,[status(thm)],[f7,f58]) ).
fof(f264,plain,
! [X0,X1,X2,X3] : multiply(inverse(multiply(X0,inverse(X1))),multiply(X0,X2)) = multiply(inverse(multiply(X3,inverse(X1))),multiply(X3,X2)),
inference(paramodulation,[status(thm)],[f59,f33]) ).
fof(f334,plain,
! [X0,X1,X2] : multiply(inverse(multiply(X0,inverse(X1))),multiply(X0,X2)) = multiply(inverse(multiply(b2,inverse(X1))),multiply(b2,X2)),
inference(equality_split,[status(esa)],[f264]) ).
fof(f337,plain,
! [X0,X1,X2,X3] : inverse(multiply(multiply(multiply(inverse(X0),X0),inverse(multiply(inverse(multiply(inverse(multiply(X1,inverse(X2))),inverse(X0))),X3))),X0)) = inverse(multiply(multiply(multiply(inverse(b2),b2),inverse(multiply(inverse(multiply(inverse(multiply(X1,inverse(X2))),inverse(b2))),X3))),b2)),
inference(equality_split,[status(esa)],[f8]) ).
fof(f513,plain,
! [X0,X1,X2,X3] : multiply(inverse(multiply(b2,inverse(X0))),multiply(b2,multiply(X1,inverse(multiply(multiply(multiply(inverse(X2),X2),inverse(X3)),X2))))) = multiply(inverse(multiply(inverse(multiply(X1,inverse(X2))),inverse(X0))),X3),
inference(forward_demodulation,[status(thm)],[f334,f42]) ).
fof(f521,plain,
! [X0,X1,X2,X3,X4,X5] : multiply(inverse(multiply(b2,X0)),multiply(b2,multiply(X1,inverse(multiply(multiply(multiply(inverse(X2),X2),inverse(X3)),X2))))) = multiply(inverse(multiply(inverse(multiply(X1,inverse(X2))),inverse(multiply(multiply(multiply(inverse(X4),X4),inverse(multiply(inverse(multiply(X5,inverse(X4))),multiply(X5,X0)))),X4)))),X3),
inference(paramodulation,[status(thm)],[f59,f513]) ).
fof(f522,plain,
! [X0,X1,X2,X3] : multiply(inverse(multiply(b2,X0)),multiply(b2,multiply(X1,inverse(multiply(multiply(multiply(inverse(X2),X2),inverse(X3)),X2))))) = multiply(inverse(multiply(inverse(multiply(X1,inverse(X2))),X0)),X3),
inference(forward_demodulation,[status(thm)],[f59,f521]) ).
fof(f578,plain,
! [X0,X1,X2,X3,X4] : multiply(inverse(multiply(b2,X0)),multiply(b2,X1)) = multiply(inverse(multiply(inverse(multiply(X2,inverse(multiply(multiply(multiply(inverse(X3),X3),inverse(multiply(inverse(multiply(X2,inverse(X3))),X4))),X3)))),X0)),multiply(inverse(X4),X1)),
inference(paramodulation,[status(thm)],[f6,f522]) ).
fof(f579,plain,
! [X0,X1,X2] : multiply(inverse(multiply(b2,X0)),multiply(b2,X1)) = multiply(inverse(multiply(inverse(X2),X0)),multiply(inverse(X2),X1)),
inference(forward_demodulation,[status(thm)],[f3,f578]) ).
fof(f673,plain,
! [X0,X1,X2,X3,X4] : multiply(inverse(multiply(b2,X0)),multiply(b2,X1)) = multiply(inverse(multiply(X2,X0)),multiply(inverse(multiply(multiply(multiply(inverse(X3),X3),inverse(multiply(inverse(multiply(X4,inverse(X3))),multiply(X4,X2)))),X3)),X1)),
inference(paramodulation,[status(thm)],[f59,f579]) ).
fof(f674,plain,
! [X0,X1,X2] : multiply(inverse(multiply(b2,X0)),multiply(b2,X1)) = multiply(inverse(multiply(X2,X0)),multiply(X2,X1)),
inference(forward_demodulation,[status(thm)],[f59,f673]) ).
fof(f731,plain,
! [X0,X1,X2,X3] : multiply(inverse(multiply(X0,X1)),multiply(X0,X2)) = multiply(inverse(multiply(X3,X1)),multiply(X3,X2)),
inference(paramodulation,[status(thm)],[f674,f674]) ).
fof(f750,plain,
! [X0,X1,X2,X3] : multiply(inverse(multiply(b2,X0)),multiply(b2,X1)) = multiply(X2,multiply(multiply(multiply(inverse(X0),X0),inverse(multiply(inverse(multiply(X3,inverse(X0))),multiply(X3,X2)))),X1)),
inference(paramodulation,[status(thm)],[f59,f674]) ).
fof(f764,plain,
! [X0,X1,X2,X3] : multiply(inverse(multiply(b2,X0)),multiply(b2,multiply(X1,X2))) = multiply(inverse(multiply(inverse(multiply(X1,X3)),X0)),multiply(inverse(multiply(b2,X3)),multiply(b2,X2))),
inference(paramodulation,[status(thm)],[f674,f674]) ).
fof(f831,plain,
! [X0,X1,X2] : multiply(inverse(multiply(X0,X1)),multiply(X0,X2)) = multiply(inverse(multiply(b2,X1)),multiply(b2,X2)),
inference(equality_split,[status(esa)],[f731]) ).
fof(f833,plain,
! [X0,X1,X2] : multiply(inverse(multiply(b2,X0)),multiply(b2,X1)) = multiply(X2,multiply(multiply(multiply(inverse(X0),X0),inverse(multiply(inverse(multiply(b2,inverse(X0))),multiply(b2,X2)))),X1)),
inference(forward_demodulation,[status(thm)],[f831,f750]) ).
fof(f1635,plain,
! [X0,X1,X2,X3,X4] : multiply(X0,inverse(multiply(inverse(multiply(multiply(multiply(inverse(b2),b2),inverse(multiply(inverse(multiply(inverse(multiply(multiply(inverse(X1),X1),inverse(X2))),inverse(b2))),X3))),b2)),X1))) = inverse(multiply(multiply(multiply(inverse(X4),X4),inverse(multiply(inverse(multiply(inverse(multiply(X0,inverse(X1))),inverse(X4))),multiply(multiply(multiply(inverse(X2),X2),inverse(X3)),X2)))),X4)),
inference(forward_demodulation,[status(thm)],[f337,f12]) ).
fof(f1636,plain,
! [X0,X1,X2,X3] : multiply(X0,inverse(multiply(inverse(multiply(multiply(multiply(inverse(b2),b2),inverse(multiply(inverse(multiply(inverse(multiply(multiply(inverse(X1),X1),inverse(X2))),inverse(b2))),X3))),b2)),X1))) = inverse(multiply(multiply(multiply(inverse(b2),b2),inverse(multiply(inverse(multiply(inverse(multiply(X0,inverse(X1))),inverse(b2))),multiply(multiply(multiply(inverse(X2),X2),inverse(X3)),X2)))),b2)),
inference(forward_demodulation,[status(thm)],[f337,f1635]) ).
fof(f1704,plain,
! [X0,X1,X2] : multiply(X0,inverse(multiply(inverse(multiply(multiply(multiply(inverse(b2),b2),inverse(multiply(inverse(multiply(inverse(multiply(multiply(inverse(X1),X1),inverse(X2))),inverse(b2))),multiply(inverse(multiply(b2,inverse(X2))),multiply(b2,inverse(multiply(inverse(multiply(X0,inverse(X1))),inverse(b2)))))))),b2)),X1))) = inverse(multiply(multiply(multiply(inverse(b2),b2),inverse(multiply(inverse(multiply(b2,X2)),multiply(b2,X2)))),b2)),
inference(paramodulation,[status(thm)],[f833,f1636]) ).
fof(f1705,plain,
! [X0,X1,X2] : multiply(X0,inverse(multiply(inverse(multiply(multiply(multiply(inverse(b2),b2),inverse(multiply(inverse(multiply(b2,inverse(b2))),multiply(b2,multiply(multiply(inverse(X1),X1),inverse(multiply(inverse(multiply(X0,inverse(X1))),inverse(b2)))))))),b2)),X1))) = inverse(multiply(multiply(multiply(inverse(b2),b2),inverse(multiply(inverse(multiply(b2,X2)),multiply(b2,X2)))),b2)),
inference(forward_demodulation,[status(thm)],[f764,f1704]) ).
fof(f1706,plain,
! [X0,X1,X2] : multiply(X0,inverse(multiply(multiply(multiply(inverse(X1),X1),inverse(multiply(inverse(multiply(X0,inverse(X1))),inverse(b2)))),X1))) = inverse(multiply(multiply(multiply(inverse(b2),b2),inverse(multiply(inverse(multiply(b2,X2)),multiply(b2,X2)))),b2)),
inference(forward_demodulation,[status(thm)],[f59,f1705]) ).
fof(f1707,plain,
! [X0] : inverse(b2) = inverse(multiply(multiply(multiply(inverse(b2),b2),inverse(multiply(inverse(multiply(b2,X0)),multiply(b2,X0)))),b2)),
inference(forward_demodulation,[status(thm)],[f3,f1706]) ).
fof(f1974,plain,
! [X0,X1,X2] : inverse(b2) = inverse(multiply(multiply(multiply(inverse(b2),b2),inverse(multiply(inverse(multiply(inverse(multiply(X0,inverse(X1))),multiply(X0,inverse(multiply(multiply(multiply(inverse(X1),X1),inverse(X2)),X1))))),X2))),b2)),
inference(paramodulation,[status(thm)],[f522,f1707]) ).
fof(f1975,plain,
! [X0] : inverse(b2) = inverse(multiply(multiply(multiply(inverse(b2),b2),inverse(multiply(inverse(X0),X0))),b2)),
inference(forward_demodulation,[status(thm)],[f33,f1974]) ).
fof(f2190,plain,
! [X0,X1] : multiply(inverse(multiply(X0,inverse(b2))),multiply(X0,inverse(b2))) = multiply(inverse(X1),X1),
inference(paramodulation,[status(thm)],[f1975,f33]) ).
fof(f2191,plain,
! [X0] : multiply(inverse(multiply(b2,inverse(b2))),multiply(b2,inverse(b2))) = multiply(inverse(X0),X0),
inference(forward_demodulation,[status(thm)],[f831,f2190]) ).
fof(f2999,plain,
! [X0,X1] : multiply(inverse(X0),X0) = multiply(inverse(X1),X1),
inference(paramodulation,[status(thm)],[f2191,f2191]) ).
fof(f3090,plain,
! [X0,X1,X2] : multiply(X0,inverse(multiply(multiply(multiply(inverse(X1),X1),inverse(multiply(inverse(multiply(X0,inverse(X1))),inverse(X2)))),X1))) = inverse(multiply(multiply(multiply(inverse(X2),X2),inverse(multiply(inverse(multiply(b2,inverse(b2))),multiply(b2,inverse(b2))))),X2)),
inference(paramodulation,[status(thm)],[f2191,f5]) ).
fof(f3091,plain,
! [X0] : inverse(X0) = inverse(multiply(multiply(multiply(inverse(X0),X0),inverse(multiply(inverse(multiply(b2,inverse(b2))),multiply(b2,inverse(b2))))),X0)),
inference(forward_demodulation,[status(thm)],[f3,f3090]) ).
fof(f3157,plain,
! [X0] : multiply(inverse(X0),X0) = multiply(inverse(b2),b2),
inference(equality_split,[status(esa)],[f2999]) ).
fof(f4737,plain,
! [X0] : inverse(X0) = inverse(multiply(multiply(multiply(inverse(b2),b2),inverse(multiply(inverse(multiply(b2,inverse(b2))),multiply(b2,inverse(b2))))),X0)),
inference(forward_demodulation,[status(thm)],[f3157,f3091]) ).
fof(f4738,plain,
! [X0] : inverse(X0) = inverse(multiply(multiply(multiply(inverse(b2),b2),inverse(multiply(inverse(b2),b2))),X0)),
inference(forward_demodulation,[status(thm)],[f3157,f4737]) ).
fof(f5053,plain,
! [X0,X1,X2] : multiply(inverse(multiply(X0,inverse(X1))),multiply(X0,inverse(multiply(multiply(multiply(inverse(X1),X1),inverse(X2)),X1)))) = multiply(multiply(multiply(inverse(b2),b2),inverse(multiply(inverse(b2),b2))),X2),
inference(paramodulation,[status(thm)],[f4738,f33]) ).
fof(f5054,plain,
! [X0] : X0 = multiply(multiply(multiply(inverse(b2),b2),inverse(multiply(inverse(b2),b2))),X0),
inference(forward_demodulation,[status(thm)],[f33,f5053]) ).
fof(f5109,plain,
! [X0,X1] : inverse(multiply(multiply(multiply(inverse(X0),X0),inverse(multiply(inverse(multiply(multiply(multiply(inverse(b2),b2),inverse(multiply(inverse(b2),b2))),inverse(X0))),X1))),X0)) = X1,
inference(paramodulation,[status(thm)],[f3,f5054]) ).
fof(f5110,plain,
! [X0,X1] : inverse(multiply(multiply(multiply(inverse(b2),b2),inverse(multiply(inverse(multiply(multiply(multiply(inverse(b2),b2),inverse(multiply(inverse(b2),b2))),inverse(X0))),X1))),X0)) = X1,
inference(forward_demodulation,[status(thm)],[f3157,f5109]) ).
fof(f5111,plain,
! [X0,X1] : inverse(multiply(multiply(multiply(inverse(b2),b2),inverse(multiply(inverse(inverse(X0)),X1))),X0)) = X1,
inference(forward_demodulation,[status(thm)],[f5054,f5110]) ).
fof(f5188,plain,
! [X0,X1] : multiply(inverse(multiply(multiply(multiply(inverse(b2),b2),inverse(multiply(inverse(b2),b2))),inverse(X0))),inverse(multiply(multiply(multiply(inverse(X0),X0),inverse(X1)),X0))) = X1,
inference(paramodulation,[status(thm)],[f5054,f33]) ).
fof(f5189,plain,
! [X0,X1] : multiply(inverse(inverse(X0)),inverse(multiply(multiply(multiply(inverse(X0),X0),inverse(X1)),X0))) = X1,
inference(forward_demodulation,[status(thm)],[f5054,f5188]) ).
fof(f5190,plain,
! [X0,X1] : multiply(inverse(inverse(X0)),inverse(multiply(multiply(multiply(inverse(b2),b2),inverse(X1)),X0))) = X1,
inference(forward_demodulation,[status(thm)],[f3157,f5189]) ).
fof(f5264,plain,
! [X0] : X0 = multiply(inverse(multiply(inverse(inverse(b2)),inverse(b2))),X0),
inference(paramodulation,[status(thm)],[f3,f5190]) ).
fof(f5265,plain,
! [X0] : X0 = multiply(inverse(multiply(inverse(b2),b2)),X0),
inference(forward_demodulation,[status(thm)],[f3157,f5264]) ).
fof(f5292,plain,
! [X0,X1] : multiply(inverse(inverse(b2)),X0) = multiply(inverse(multiply(X1,inverse(b2))),multiply(X1,X0)),
inference(paramodulation,[status(thm)],[f59,f5190]) ).
fof(f5293,plain,
! [X0] : multiply(inverse(inverse(b2)),X0) = multiply(inverse(multiply(b2,inverse(b2))),multiply(b2,X0)),
inference(forward_demodulation,[status(thm)],[f831,f5292]) ).
fof(f6061,plain,
! [X0,X1] : multiply(inverse(multiply(b2,multiply(b2,X0))),multiply(b2,multiply(b2,X1))) = multiply(inverse(multiply(inverse(inverse(b2)),X0)),multiply(inverse(multiply(b2,inverse(b2))),multiply(b2,X1))),
inference(paramodulation,[status(thm)],[f5293,f764]) ).
fof(f6062,plain,
! [X0,X1] : multiply(inverse(multiply(b2,multiply(b2,X0))),multiply(b2,multiply(b2,X1))) = multiply(inverse(multiply(inverse(inverse(b2)),X0)),multiply(inverse(inverse(b2)),X1)),
inference(forward_demodulation,[status(thm)],[f5293,f6061]) ).
fof(f6063,plain,
! [X0,X1] : multiply(inverse(multiply(b2,multiply(b2,X0))),multiply(b2,multiply(b2,X1))) = multiply(inverse(multiply(b2,X0)),multiply(b2,X1)),
inference(forward_demodulation,[status(thm)],[f831,f6062]) ).
fof(f9695,plain,
! [X0,X1,X2,X3] : multiply(inverse(multiply(b2,multiply(b2,X0))),multiply(b2,X1)) = multiply(inverse(multiply(b2,X0)),multiply(b2,inverse(multiply(multiply(multiply(inverse(multiply(multiply(multiply(inverse(X2),X2),inverse(multiply(inverse(multiply(b2,inverse(X2))),X3))),X2)),multiply(multiply(multiply(inverse(X2),X2),inverse(multiply(inverse(multiply(b2,inverse(X2))),X3))),X2)),inverse(multiply(inverse(X3),X1))),multiply(multiply(multiply(inverse(X2),X2),inverse(multiply(inverse(multiply(b2,inverse(X2))),X3))),X2))))),
inference(paramodulation,[status(thm)],[f6,f6063]) ).
fof(f9696,plain,
! [X0,X1] : multiply(inverse(multiply(b2,multiply(b2,X0))),multiply(b2,X1)) = multiply(inverse(multiply(b2,X0)),X1),
inference(forward_demodulation,[status(thm)],[f6,f9695]) ).
fof(f9824,plain,
! [X0,X1,X2,X3] : multiply(inverse(multiply(b2,X0)),multiply(b2,X1)) = multiply(inverse(multiply(b2,inverse(multiply(multiply(multiply(inverse(multiply(multiply(multiply(inverse(X2),X2),inverse(multiply(inverse(multiply(b2,inverse(X2))),X3))),X2)),multiply(multiply(multiply(inverse(X2),X2),inverse(multiply(inverse(multiply(b2,inverse(X2))),X3))),X2)),inverse(multiply(inverse(X3),X0))),multiply(multiply(multiply(inverse(X2),X2),inverse(multiply(inverse(multiply(b2,inverse(X2))),X3))),X2))))),X1),
inference(paramodulation,[status(thm)],[f6,f9696]) ).
fof(f9825,plain,
! [X0,X1] : multiply(inverse(multiply(b2,X0)),multiply(b2,X1)) = multiply(inverse(X0),X1),
inference(forward_demodulation,[status(thm)],[f6,f9824]) ).
fof(f9964,plain,
! [X0,X1,X2] : multiply(inverse(multiply(b2,X0)),multiply(b2,X1)) = multiply(X2,multiply(multiply(multiply(inverse(X0),X0),inverse(multiply(inverse(inverse(X0)),X2))),X1)),
inference(backward_demodulation,[status(thm)],[f9825,f833]) ).
fof(f9965,plain,
! [X0,X1,X2] : multiply(inverse(X0),X1) = multiply(X2,multiply(multiply(multiply(inverse(X0),X0),inverse(multiply(inverse(inverse(X0)),X2))),X1)),
inference(forward_demodulation,[status(thm)],[f9825,f9964]) ).
fof(f9966,plain,
! [X0,X1,X2] : multiply(inverse(X0),X1) = multiply(X2,multiply(multiply(multiply(inverse(b2),b2),inverse(multiply(inverse(inverse(X0)),X2))),X1)),
inference(forward_demodulation,[status(thm)],[f3157,f9965]) ).
fof(f9970,plain,
! [X0,X1,X2,X3] : multiply(inverse(X0),multiply(X1,X2)) = multiply(inverse(multiply(inverse(multiply(X1,X3)),X0)),multiply(inverse(multiply(b2,X3)),multiply(b2,X2))),
inference(backward_demodulation,[status(thm)],[f9825,f764]) ).
fof(f9971,plain,
! [X0,X1,X2,X3] : multiply(inverse(X0),multiply(X1,X2)) = multiply(inverse(multiply(inverse(multiply(X1,X3)),X0)),multiply(inverse(X3),X2)),
inference(forward_demodulation,[status(thm)],[f9825,f9970]) ).
fof(f9973,plain,
! [X0,X1,X2] : multiply(inverse(multiply(X0,X1)),multiply(X0,X2)) = multiply(inverse(X1),X2),
inference(backward_demodulation,[status(thm)],[f9825,f831]) ).
fof(f11437,plain,
! [X0,X1,X2,X3,X4] : multiply(inverse(X0),multiply(X1,multiply(X2,X3))) = multiply(inverse(multiply(inverse(multiply(X1,multiply(X2,X4))),X0)),multiply(inverse(X4),X3)),
inference(paramodulation,[status(thm)],[f9973,f9971]) ).
fof(f11622,plain,
! [X0,X1,X2,X3] : multiply(inverse(multiply(multiply(multiply(inverse(b2),b2),inverse(multiply(inverse(inverse(X0)),X1))),X0)),X2) = multiply(X3,multiply(multiply(multiply(inverse(b2),b2),inverse(multiply(inverse(X1),X3))),X2)),
inference(paramodulation,[status(thm)],[f5111,f9966]) ).
fof(f11623,plain,
! [X0,X1,X2] : multiply(X0,X1) = multiply(X2,multiply(multiply(multiply(inverse(b2),b2),inverse(multiply(inverse(X0),X2))),X1)),
inference(forward_demodulation,[status(thm)],[f5111,f11622]) ).
fof(f11695,plain,
! [X0,X1] : multiply(X0,X1) = multiply(multiply(multiply(inverse(b2),b2),inverse(multiply(inverse(X0),inverse(multiply(inverse(b2),b2))))),X1),
inference(paramodulation,[status(thm)],[f5265,f11623]) ).
fof(f11725,plain,
! [X0,X1] : multiply(multiply(inverse(b2),b2),X0) = multiply(X1,multiply(multiply(multiply(inverse(b2),b2),inverse(X1)),X0)),
inference(paramodulation,[status(thm)],[f5265,f11623]) ).
fof(f17014,plain,
! [X0] : multiply(X0,inverse(multiply(multiply(X0,inverse(b2)),b2))) = inverse(multiply(inverse(b2),b2)),
inference(paramodulation,[status(thm)],[f11695,f3]) ).
fof(f17345,plain,
! [X0] : multiply(inverse(inverse(X0)),inverse(multiply(inverse(multiply(inverse(b2),b2)),X0))) = multiply(multiply(multiply(inverse(b2),b2),inverse(b2)),b2),
inference(paramodulation,[status(thm)],[f17014,f5190]) ).
fof(f17346,plain,
! [X0] : multiply(inverse(inverse(X0)),inverse(X0)) = multiply(multiply(multiply(inverse(b2),b2),inverse(b2)),b2),
inference(forward_demodulation,[status(thm)],[f5265,f17345]) ).
fof(f17347,plain,
multiply(inverse(b2),b2) = multiply(multiply(multiply(inverse(b2),b2),inverse(b2)),b2),
inference(forward_demodulation,[status(thm)],[f3157,f17346]) ).
fof(f17513,plain,
multiply(multiply(inverse(b2),b2),inverse(multiply(inverse(b2),b2))) = inverse(multiply(inverse(b2),b2)),
inference(paramodulation,[status(thm)],[f17347,f17014]) ).
fof(f17521,plain,
! [X0] : multiply(inverse(multiply(inverse(b2),b2)),multiply(multiply(multiply(inverse(b2),b2),inverse(b2)),X0)) = multiply(inverse(b2),X0),
inference(paramodulation,[status(thm)],[f17347,f9973]) ).
fof(f17522,plain,
! [X0] : multiply(multiply(multiply(inverse(b2),b2),inverse(b2)),X0) = multiply(inverse(b2),X0),
inference(forward_demodulation,[status(thm)],[f5265,f17521]) ).
fof(f17644,plain,
! [X0] : multiply(multiply(inverse(b2),b2),X0) = multiply(b2,multiply(inverse(b2),X0)),
inference(paramodulation,[status(thm)],[f17522,f11725]) ).
fof(f18853,plain,
multiply(b2,multiply(inverse(b2),a2)) != a2,
inference(backward_demodulation,[status(thm)],[f17644,f4]) ).
fof(f19849,plain,
multiply(b2,multiply(inverse(b2),inverse(multiply(inverse(b2),b2)))) = inverse(multiply(inverse(b2),b2)),
inference(forward_demodulation,[status(thm)],[f17644,f17513]) ).
fof(f19857,plain,
! [X0,X1] : multiply(inverse(X0),multiply(b2,multiply(inverse(b2),X1))) = multiply(inverse(multiply(inverse(inverse(multiply(inverse(b2),b2))),X0)),multiply(inverse(inverse(multiply(inverse(b2),b2))),X1)),
inference(paramodulation,[status(thm)],[f19849,f11437]) ).
fof(f19858,plain,
! [X0,X1] : multiply(inverse(X0),multiply(b2,multiply(inverse(b2),X1))) = multiply(inverse(X0),X1),
inference(forward_demodulation,[status(thm)],[f9973,f19857]) ).
fof(f19871,plain,
! [X0] : multiply(b2,multiply(inverse(b2),X0)) = multiply(inverse(multiply(inverse(b2),b2)),X0),
inference(paramodulation,[status(thm)],[f5265,f19858]) ).
fof(f19872,plain,
! [X0] : multiply(b2,multiply(inverse(b2),X0)) = X0,
inference(forward_demodulation,[status(thm)],[f5265,f19871]) ).
fof(f19973,plain,
a2 != a2,
inference(backward_demodulation,[status(thm)],[f19872,f18853]) ).
fof(f19974,plain,
$false,
inference(trivial_equality_resolution,[status(esa)],[f19973]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.09/0.11 % Problem : GRP413-1 : TPTP v8.1.2. Released v2.6.0.
% 0.09/0.12 % Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.11/0.32 % Computer : n025.cluster.edu
% 0.11/0.32 % Model : x86_64 x86_64
% 0.11/0.32 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.32 % Memory : 8042.1875MB
% 0.11/0.32 % OS : Linux 3.10.0-693.el7.x86_64
% 0.11/0.32 % CPULimit : 300
% 0.11/0.32 % WCLimit : 300
% 0.11/0.32 % DateTime : Tue Apr 30 00:40:41 EDT 2024
% 0.11/0.32 % CPUTime :
% 0.11/0.33 % Drodi V3.6.0
% 47.70/6.42 % Refutation found
% 47.70/6.42 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 47.70/6.42 % SZS output start CNFRefutation for theBenchmark
% See solution above
% 49.32/6.59 % Elapsed time: 6.253600 seconds
% 49.32/6.59 % CPU time: 49.080933 seconds
% 49.32/6.59 % Total memory used: 1.039 GB
% 49.32/6.59 % Net memory used: 1.033 GB
%------------------------------------------------------------------------------