TSTP Solution File: GRP660-11 by Drodi---3.6.0
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Drodi---3.6.0
% Problem : GRP660-11 : TPTP v8.1.2. Released v8.1.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% Computer : n010.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 20:21:18 EDT 2024
% Result : Unsatisfiable 21.08s 3.03s
% Output : CNFRefutation 21.50s
% Verified :
% SZS Type : Refutation
% Derivation depth : 40
% Number of leaves : 6
% Syntax : Number of formulae : 107 ( 107 unt; 0 def)
% Number of atoms : 107 ( 106 equ)
% Maximal formula atoms : 1 ( 1 avg)
% Number of connectives : 5 ( 5 ~; 0 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 4 ( 3 avg)
% Maximal term depth : 6 ( 2 avg)
% Number of predicates : 2 ( 0 usr; 1 prp; 0-2 aty)
% Number of functors : 5 ( 5 usr; 2 con; 0-2 aty)
% Number of variables : 194 ( 194 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
! [A,B] : mult(A,ld(A,B)) = B,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f2,axiom,
! [A,B] : ld(A,mult(A,B)) = B,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f3,axiom,
! [A,B] : mult(rd(A,B),B) = A,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f4,axiom,
! [A,B] : rd(mult(A,B),B) = A,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f5,axiom,
! [A,B,C] : mult(mult(mult(A,B),C),A) = mult(A,mult(B,mult(C,A))),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f6,negated_conjecture,
mult(x0,rd(x1,x1)) != x0,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f7,plain,
! [X0,X1] : mult(X0,ld(X0,X1)) = X1,
inference(cnf_transformation,[status(esa)],[f1]) ).
fof(f8,plain,
! [X0,X1] : ld(X0,mult(X0,X1)) = X1,
inference(cnf_transformation,[status(esa)],[f2]) ).
fof(f9,plain,
! [X0,X1] : mult(rd(X0,X1),X1) = X0,
inference(cnf_transformation,[status(esa)],[f3]) ).
fof(f10,plain,
! [X0,X1] : rd(mult(X0,X1),X1) = X0,
inference(cnf_transformation,[status(esa)],[f4]) ).
fof(f11,plain,
! [X0,X1,X2] : mult(mult(mult(X0,X1),X2),X0) = mult(X0,mult(X1,mult(X2,X0))),
inference(cnf_transformation,[status(esa)],[f5]) ).
fof(f12,plain,
mult(x0,rd(x1,x1)) != x0,
inference(cnf_transformation,[status(esa)],[f6]) ).
fof(f15,plain,
! [X0,X1,X2] : mult(mult(X0,X1),rd(X0,X2)) = mult(rd(X0,X2),mult(X2,mult(X1,rd(X0,X2)))),
inference(paramodulation,[status(thm)],[f9,f11]) ).
fof(f16,plain,
! [X0,X1,X2] : rd(mult(X0,mult(X1,mult(X2,X0))),X0) = mult(mult(X0,X1),X2),
inference(paramodulation,[status(thm)],[f11,f10]) ).
fof(f20,plain,
! [X0,X1,X2] : rd(mult(X0,mult(X1,X2)),X0) = mult(mult(X0,X1),rd(X2,X0)),
inference(paramodulation,[status(thm)],[f9,f16]) ).
fof(f48,plain,
! [X0,X1] : mult(X0,X1) = mult(mult(mult(X0,X1),X0),rd(X1,mult(X0,X1))),
inference(paramodulation,[status(thm)],[f10,f20]) ).
fof(f99,plain,
! [X0,X1] : rd(mult(X0,X1),rd(X1,mult(X0,X1))) = mult(mult(X0,X1),X0),
inference(paramodulation,[status(thm)],[f48,f10]) ).
fof(f111,plain,
! [X0,X1] : rd(X0,rd(X1,mult(rd(X0,X1),X1))) = mult(mult(rd(X0,X1),X1),rd(X0,X1)),
inference(paramodulation,[status(thm)],[f9,f99]) ).
fof(f112,plain,
! [X0,X1] : rd(X0,rd(X1,X0)) = mult(mult(rd(X0,X1),X1),rd(X0,X1)),
inference(forward_demodulation,[status(thm)],[f9,f111]) ).
fof(f113,plain,
! [X0,X1] : rd(X0,rd(X1,X0)) = mult(X0,rd(X0,X1)),
inference(forward_demodulation,[status(thm)],[f9,f112]) ).
fof(f133,plain,
! [X0,X1] : rd(X0,X1) = mult(X0,rd(X0,mult(X1,X0))),
inference(paramodulation,[status(thm)],[f10,f113]) ).
fof(f134,plain,
! [X0,X1] : rd(rd(X0,X1),mult(X1,rd(X1,X0))) = mult(rd(X0,X1),rd(rd(X0,X1),X1)),
inference(paramodulation,[status(thm)],[f113,f113]) ).
fof(f546,plain,
! [X0,X1,X2] : ld(rd(X0,X1),mult(mult(X0,X2),rd(X0,X1))) = mult(X1,mult(X2,rd(X0,X1))),
inference(paramodulation,[status(thm)],[f15,f8]) ).
fof(f547,plain,
! [X0,X1] : ld(rd(X0,X1),X0) = X1,
inference(paramodulation,[status(thm)],[f9,f8]) ).
fof(f548,plain,
! [X0,X1] : ld(X0,rd(X0,X1)) = rd(X0,mult(X1,X0)),
inference(paramodulation,[status(thm)],[f133,f8]) ).
fof(f645,plain,
! [X0,X1] : ld(mult(X0,rd(X0,X1)),X0) = rd(X1,X0),
inference(paramodulation,[status(thm)],[f113,f547]) ).
fof(f652,plain,
! [X0,X1,X2] : mult(X0,X1) = mult(X1,mult(X2,mult(ld(mult(X1,X2),X0),X1))),
inference(paramodulation,[status(thm)],[f7,f11]) ).
fof(f664,plain,
! [X0,X1,X2] : mult(mult(X0,X1),X2) = mult(X2,mult(ld(X2,X0),mult(X1,X2))),
inference(paramodulation,[status(thm)],[f7,f11]) ).
fof(f665,plain,
! [X0,X1] : rd(X0,ld(X1,X0)) = X1,
inference(paramodulation,[status(thm)],[f7,f10]) ).
fof(f691,plain,
! [X0,X1] : ld(mult(X0,X1),X0) = rd(ld(X1,X0),X0),
inference(paramodulation,[status(thm)],[f665,f645]) ).
fof(f709,plain,
! [X0,X1] : ld(ld(mult(X0,X1),X0),ld(X1,X0)) = X0,
inference(paramodulation,[status(thm)],[f691,f547]) ).
fof(f731,plain,
! [X0] : ld(rd(X0,X0),rd(rd(X0,X0),X0)) = mult(rd(X0,X0),rd(rd(X0,X0),X0)),
inference(paramodulation,[status(thm)],[f134,f548]) ).
fof(f741,plain,
! [X0,X1] : ld(ld(X0,X1),rd(ld(X0,X1),X0)) = rd(ld(X0,X1),X1),
inference(paramodulation,[status(thm)],[f7,f548]) ).
fof(f742,plain,
! [X0,X1] : ld(ld(X0,X1),rd(ld(X0,X1),X0)) = ld(mult(X1,X0),X1),
inference(forward_demodulation,[status(thm)],[f691,f741]) ).
fof(f752,plain,
! [X0,X1] : ld(ld(X0,rd(X0,X1)),X0) = mult(X1,X0),
inference(paramodulation,[status(thm)],[f548,f547]) ).
fof(f790,plain,
! [X0,X1] : ld(ld(X0,X1),X0) = mult(ld(X1,X0),X0),
inference(paramodulation,[status(thm)],[f665,f752]) ).
fof(f1126,plain,
! [X0,X1] : ld(ld(X0,rd(X0,X1)),ld(X1,rd(X0,X1))) = rd(X0,X1),
inference(paramodulation,[status(thm)],[f9,f709]) ).
fof(f1205,plain,
! [X0,X1] : ld(mult(ld(X0,rd(X1,X0)),ld(X1,rd(X1,X0))),ld(X0,rd(X1,X0))) = rd(rd(X1,X0),ld(X0,rd(X1,X0))),
inference(paramodulation,[status(thm)],[f1126,f691]) ).
fof(f1206,plain,
! [X0,X1] : ld(mult(ld(X0,rd(X1,X0)),ld(X1,rd(X1,X0))),ld(X0,rd(X1,X0))) = X0,
inference(forward_demodulation,[status(thm)],[f665,f1205]) ).
fof(f1340,plain,
! [X0,X1,X2] : ld(X0,mult(X1,X0)) = mult(X2,mult(ld(mult(X0,X2),X1),X0)),
inference(paramodulation,[status(thm)],[f652,f8]) ).
fof(f1459,plain,
! [X0,X1,X2] : ld(X0,mult(mult(X1,X2),X0)) = mult(ld(X0,X1),mult(X2,X0)),
inference(paramodulation,[status(thm)],[f664,f8]) ).
fof(f1617,plain,
! [X0,X1,X2] : rd(ld(X0,mult(mult(X1,X2),X0)),mult(X2,X0)) = ld(X0,X1),
inference(paramodulation,[status(thm)],[f1459,f10]) ).
fof(f1650,plain,
! [X0,X1,X2] : rd(ld(X0,mult(X1,X0)),mult(X2,X0)) = ld(X0,rd(X1,X2)),
inference(paramodulation,[status(thm)],[f9,f1617]) ).
fof(f1741,plain,
! [X0,X1,X2] : rd(ld(X0,mult(X1,X0)),X2) = ld(X0,rd(X1,rd(X2,X0))),
inference(paramodulation,[status(thm)],[f9,f1650]) ).
fof(f1889,plain,
! [X0,X1,X2] : rd(ld(ld(X0,X1),X1),X2) = ld(ld(X0,X1),rd(X0,rd(X2,ld(X0,X1)))),
inference(paramodulation,[status(thm)],[f7,f1741]) ).
fof(f1929,plain,
! [X0,X1,X2] : mult(ld(X0,rd(X1,rd(X2,X0))),X2) = ld(X0,mult(X1,X0)),
inference(paramodulation,[status(thm)],[f1741,f9]) ).
fof(f2399,plain,
! [X0,X1,X2] : rd(ld(X0,mult(X1,X0)),X2) = mult(mult(X2,ld(mult(X0,X2),X1)),rd(X0,X2)),
inference(paramodulation,[status(thm)],[f1340,f20]) ).
fof(f2400,plain,
! [X0,X1,X2] : ld(X0,rd(X1,rd(X2,X0))) = mult(mult(X2,ld(mult(X0,X2),X1)),rd(X0,X2)),
inference(forward_demodulation,[status(thm)],[f1741,f2399]) ).
fof(f2955,plain,
! [X0,X1] : rd(ld(X0,rd(X1,X0)),X0) = mult(ld(X0,rd(X1,X0)),ld(X1,rd(X1,X0))),
inference(paramodulation,[status(thm)],[f1206,f665]) ).
fof(f4647,plain,
! [X0,X1] : rd(rd(ld(X0,rd(X1,X0)),X0),ld(X1,rd(X1,X0))) = ld(X0,rd(X1,X0)),
inference(paramodulation,[status(thm)],[f2955,f10]) ).
fof(f5123,plain,
! [X0,X1,X2] : ld(mult(X0,ld(mult(X1,X0),X2)),ld(X1,rd(X2,rd(X0,X1)))) = rd(X1,X0),
inference(paramodulation,[status(thm)],[f2400,f8]) ).
fof(f5211,plain,
! [X0,X1] : ld(mult(X0,ld(mult(X1,X0),X1)),ld(X1,mult(X1,rd(X1,X0)))) = rd(X1,X0),
inference(paramodulation,[status(thm)],[f113,f5123]) ).
fof(f5212,plain,
! [X0,X1] : ld(mult(X0,ld(mult(X1,X0),X1)),rd(X1,X0)) = rd(X1,X0),
inference(forward_demodulation,[status(thm)],[f8,f5211]) ).
fof(f5337,plain,
! [X0,X1] : ld(mult(ld(X0,X1),ld(mult(X1,ld(X0,X1)),X1)),X0) = rd(X1,ld(X0,X1)),
inference(paramodulation,[status(thm)],[f665,f5212]) ).
fof(f5338,plain,
! [X0,X1] : ld(mult(ld(X0,X1),ld(mult(X1,ld(X0,X1)),X1)),X0) = X0,
inference(forward_demodulation,[status(thm)],[f665,f5337]) ).
fof(f5410,plain,
! [X0] : ld(mult(ld(X0,X0),ld(X0,X0)),X0) = X0,
inference(paramodulation,[status(thm)],[f7,f5338]) ).
fof(f5497,plain,
! [X0] : ld(mult(ld(X0,X0),X0),ld(ld(X0,X0),rd(X0,rd(ld(X0,X0),ld(X0,X0))))) = rd(ld(X0,X0),ld(X0,X0)),
inference(paramodulation,[status(thm)],[f5410,f5123]) ).
fof(f5498,plain,
! [X0] : ld(ld(ld(X0,X0),X0),ld(ld(X0,X0),rd(X0,rd(ld(X0,X0),ld(X0,X0))))) = rd(ld(X0,X0),ld(X0,X0)),
inference(forward_demodulation,[status(thm)],[f790,f5497]) ).
fof(f5499,plain,
! [X0] : ld(ld(ld(X0,X0),X0),rd(ld(ld(X0,X0),X0),ld(X0,X0))) = rd(ld(X0,X0),ld(X0,X0)),
inference(forward_demodulation,[status(thm)],[f1889,f5498]) ).
fof(f5500,plain,
! [X0] : ld(mult(X0,ld(X0,X0)),X0) = rd(ld(X0,X0),ld(X0,X0)),
inference(forward_demodulation,[status(thm)],[f742,f5499]) ).
fof(f5501,plain,
! [X0] : ld(X0,X0) = rd(ld(X0,X0),ld(X0,X0)),
inference(forward_demodulation,[status(thm)],[f7,f5500]) ).
fof(f5527,plain,
! [X0] : rd(X0,X0) = mult(ld(X0,X0),ld(X0,X0)),
inference(paramodulation,[status(thm)],[f5410,f665]) ).
fof(f5564,plain,
! [X0,X1] : ld(ld(X0,X0),rd(X1,rd(ld(X0,X0),ld(X0,X0)))) = mult(mult(ld(X0,X0),ld(mult(ld(X0,X0),ld(X0,X0)),X1)),ld(X0,X0)),
inference(paramodulation,[status(thm)],[f5501,f2400]) ).
fof(f5565,plain,
! [X0,X1] : ld(ld(X0,X0),rd(X1,ld(X0,X0))) = mult(mult(ld(X0,X0),ld(mult(ld(X0,X0),ld(X0,X0)),X1)),ld(X0,X0)),
inference(forward_demodulation,[status(thm)],[f5501,f5564]) ).
fof(f5566,plain,
! [X0,X1] : ld(ld(X0,X0),rd(X1,ld(X0,X0))) = mult(mult(ld(X0,X0),ld(rd(X0,X0),X1)),ld(X0,X0)),
inference(forward_demodulation,[status(thm)],[f5527,f5565]) ).
fof(f5579,plain,
! [X0] : rd(ld(ld(X0,X0),rd(ld(X0,X0),ld(X0,X0))),ld(X0,X0)) = mult(ld(ld(X0,X0),rd(ld(X0,X0),ld(X0,X0))),ld(ld(X0,X0),ld(X0,X0))),
inference(paramodulation,[status(thm)],[f5501,f2955]) ).
fof(f5580,plain,
! [X0] : rd(ld(ld(X0,X0),ld(X0,X0)),ld(X0,X0)) = mult(ld(ld(X0,X0),rd(ld(X0,X0),ld(X0,X0))),ld(ld(X0,X0),ld(X0,X0))),
inference(forward_demodulation,[status(thm)],[f5501,f5579]) ).
fof(f5581,plain,
! [X0] : ld(mult(ld(X0,X0),ld(X0,X0)),ld(X0,X0)) = mult(ld(ld(X0,X0),rd(ld(X0,X0),ld(X0,X0))),ld(ld(X0,X0),ld(X0,X0))),
inference(forward_demodulation,[status(thm)],[f691,f5580]) ).
fof(f5582,plain,
! [X0] : ld(rd(X0,X0),ld(X0,X0)) = mult(ld(ld(X0,X0),rd(ld(X0,X0),ld(X0,X0))),ld(ld(X0,X0),ld(X0,X0))),
inference(forward_demodulation,[status(thm)],[f5527,f5581]) ).
fof(f5583,plain,
! [X0] : ld(rd(X0,X0),ld(X0,X0)) = mult(ld(ld(X0,X0),ld(X0,X0)),ld(ld(X0,X0),ld(X0,X0))),
inference(forward_demodulation,[status(thm)],[f5501,f5582]) ).
fof(f5584,plain,
! [X0] : ld(rd(X0,X0),ld(X0,X0)) = rd(ld(X0,X0),ld(X0,X0)),
inference(forward_demodulation,[status(thm)],[f5527,f5583]) ).
fof(f5585,plain,
! [X0] : ld(rd(X0,X0),ld(X0,X0)) = ld(X0,X0),
inference(forward_demodulation,[status(thm)],[f5501,f5584]) ).
fof(f5594,plain,
! [X0,X1] : ld(rd(ld(X0,X0),ld(X0,X0)),mult(mult(ld(X0,X0),X1),ld(X0,X0))) = mult(ld(X0,X0),mult(X1,rd(ld(X0,X0),ld(X0,X0)))),
inference(paramodulation,[status(thm)],[f5501,f546]) ).
fof(f5595,plain,
! [X0,X1] : ld(ld(X0,X0),mult(mult(ld(X0,X0),X1),ld(X0,X0))) = mult(ld(X0,X0),mult(X1,rd(ld(X0,X0),ld(X0,X0)))),
inference(forward_demodulation,[status(thm)],[f5501,f5594]) ).
fof(f5596,plain,
! [X0,X1] : ld(ld(X0,X0),mult(mult(ld(X0,X0),X1),ld(X0,X0))) = mult(ld(X0,X0),mult(X1,ld(X0,X0))),
inference(forward_demodulation,[status(thm)],[f5501,f5595]) ).
fof(f5602,plain,
! [X0] : ld(rd(ld(X0,X0),ld(X0,X0)),rd(rd(ld(X0,X0),ld(X0,X0)),ld(X0,X0))) = mult(rd(ld(X0,X0),ld(X0,X0)),rd(ld(X0,X0),ld(X0,X0))),
inference(paramodulation,[status(thm)],[f5501,f731]) ).
fof(f5603,plain,
! [X0] : ld(ld(X0,X0),rd(rd(ld(X0,X0),ld(X0,X0)),ld(X0,X0))) = mult(rd(ld(X0,X0),ld(X0,X0)),rd(ld(X0,X0),ld(X0,X0))),
inference(forward_demodulation,[status(thm)],[f5501,f5602]) ).
fof(f5604,plain,
! [X0] : ld(ld(X0,X0),rd(ld(X0,X0),ld(X0,X0))) = mult(rd(ld(X0,X0),ld(X0,X0)),rd(ld(X0,X0),ld(X0,X0))),
inference(forward_demodulation,[status(thm)],[f5501,f5603]) ).
fof(f5605,plain,
! [X0] : ld(ld(X0,X0),ld(X0,X0)) = mult(rd(ld(X0,X0),ld(X0,X0)),rd(ld(X0,X0),ld(X0,X0))),
inference(forward_demodulation,[status(thm)],[f5501,f5604]) ).
fof(f5606,plain,
! [X0] : ld(ld(X0,X0),ld(X0,X0)) = mult(ld(X0,X0),rd(ld(X0,X0),ld(X0,X0))),
inference(forward_demodulation,[status(thm)],[f5501,f5605]) ).
fof(f5607,plain,
! [X0] : ld(ld(X0,X0),ld(X0,X0)) = mult(ld(X0,X0),ld(X0,X0)),
inference(forward_demodulation,[status(thm)],[f5501,f5606]) ).
fof(f5608,plain,
! [X0] : ld(ld(X0,X0),ld(X0,X0)) = rd(X0,X0),
inference(forward_demodulation,[status(thm)],[f5527,f5607]) ).
fof(f5616,plain,
! [X0,X1] : mult(ld(ld(X0,X0),rd(X1,ld(X0,X0))),ld(X0,X0)) = ld(ld(X0,X0),mult(X1,ld(X0,X0))),
inference(paramodulation,[status(thm)],[f5501,f1929]) ).
fof(f5632,plain,
! [X0] : ld(ld(ld(X0,X0),ld(X0,X0)),ld(X0,X0)) = mult(ld(X0,X0),ld(X0,X0)),
inference(paramodulation,[status(thm)],[f5501,f752]) ).
fof(f5633,plain,
! [X0] : ld(rd(X0,X0),ld(X0,X0)) = mult(ld(X0,X0),ld(X0,X0)),
inference(forward_demodulation,[status(thm)],[f5608,f5632]) ).
fof(f5634,plain,
! [X0] : ld(X0,X0) = mult(ld(X0,X0),ld(X0,X0)),
inference(forward_demodulation,[status(thm)],[f5585,f5633]) ).
fof(f5635,plain,
! [X0] : ld(X0,X0) = rd(X0,X0),
inference(forward_demodulation,[status(thm)],[f5527,f5634]) ).
fof(f5683,plain,
mult(x0,ld(x1,x1)) != x0,
inference(backward_demodulation,[status(thm)],[f5635,f12]) ).
fof(f5705,plain,
! [X0,X1] : ld(ld(X0,X0),rd(X1,ld(X0,X0))) = mult(mult(ld(X0,X0),ld(ld(X0,X0),X1)),ld(X0,X0)),
inference(backward_demodulation,[status(thm)],[f5635,f5566]) ).
fof(f5706,plain,
! [X0,X1] : ld(ld(X0,X0),rd(X1,ld(X0,X0))) = mult(X1,ld(X0,X0)),
inference(forward_demodulation,[status(thm)],[f7,f5705]) ).
fof(f6038,plain,
! [X0,X1] : mult(mult(X0,ld(X1,X1)),ld(X1,X1)) = ld(ld(X1,X1),mult(X0,ld(X1,X1))),
inference(backward_demodulation,[status(thm)],[f5706,f5616]) ).
fof(f6827,plain,
! [X0,X1] : ld(ld(X0,X0),X1) = mult(mult(X1,ld(X0,X0)),ld(X0,X0)),
inference(paramodulation,[status(thm)],[f10,f5706]) ).
fof(f6828,plain,
! [X0,X1] : ld(ld(X0,X0),X1) = ld(ld(X0,X0),mult(X1,ld(X0,X0))),
inference(forward_demodulation,[status(thm)],[f6038,f6827]) ).
fof(f6847,plain,
! [X0,X1] : rd(rd(mult(X0,ld(X1,X1)),ld(X1,X1)),ld(X0,rd(X0,ld(X1,X1)))) = ld(ld(X1,X1),rd(X0,ld(X1,X1))),
inference(paramodulation,[status(thm)],[f5706,f4647]) ).
fof(f6848,plain,
! [X0,X1] : rd(X0,ld(X0,rd(X0,ld(X1,X1)))) = ld(ld(X1,X1),rd(X0,ld(X1,X1))),
inference(forward_demodulation,[status(thm)],[f10,f6847]) ).
fof(f6849,plain,
! [X0,X1] : rd(X0,ld(X0,rd(X0,ld(X1,X1)))) = mult(X0,ld(X1,X1)),
inference(forward_demodulation,[status(thm)],[f5706,f6848]) ).
fof(f6887,plain,
! [X0,X1] : mult(ld(X0,X0),mult(X1,ld(X0,X0))) = rd(X1,ld(X0,X0)),
inference(paramodulation,[status(thm)],[f5706,f7]) ).
fof(f6888,plain,
! [X0,X1] : ld(ld(X0,X0),mult(ld(X0,X0),X1)) = mult(ld(X0,X0),mult(X1,ld(X0,X0))),
inference(backward_demodulation,[status(thm)],[f6828,f5596]) ).
fof(f6889,plain,
! [X0,X1] : X0 = mult(ld(X1,X1),mult(X0,ld(X1,X1))),
inference(forward_demodulation,[status(thm)],[f8,f6888]) ).
fof(f6890,plain,
! [X0,X1] : X0 = rd(X0,ld(X1,X1)),
inference(forward_demodulation,[status(thm)],[f6887,f6889]) ).
fof(f6899,plain,
! [X0,X1] : ld(ld(X0,X0),X1) = mult(X1,ld(X0,X0)),
inference(backward_demodulation,[status(thm)],[f6890,f5706]) ).
fof(f6945,plain,
! [X0,X1] : rd(X0,ld(X0,X0)) = mult(X0,ld(X1,X1)),
inference(backward_demodulation,[status(thm)],[f6890,f6849]) ).
fof(f6946,plain,
! [X0,X1] : X0 = mult(X0,ld(X1,X1)),
inference(forward_demodulation,[status(thm)],[f665,f6945]) ).
fof(f6947,plain,
! [X0,X1] : X0 = ld(ld(X1,X1),X0),
inference(forward_demodulation,[status(thm)],[f6899,f6946]) ).
fof(f6970,plain,
ld(ld(x1,x1),x0) != x0,
inference(backward_demodulation,[status(thm)],[f6899,f5683]) ).
fof(f6971,plain,
x0 != x0,
inference(forward_demodulation,[status(thm)],[f6947,f6970]) ).
fof(f6972,plain,
$false,
inference(trivial_equality_resolution,[status(esa)],[f6971]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.05/0.11 % Problem : GRP660-11 : TPTP v8.1.2. Released v8.1.0.
% 0.05/0.12 % Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.09/0.32 % Computer : n010.cluster.edu
% 0.09/0.32 % Model : x86_64 x86_64
% 0.09/0.32 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.32 % Memory : 8042.1875MB
% 0.09/0.32 % OS : Linux 3.10.0-693.el7.x86_64
% 0.09/0.32 % CPULimit : 300
% 0.09/0.32 % WCLimit : 300
% 0.09/0.32 % DateTime : Tue Apr 30 00:14:50 EDT 2024
% 0.09/0.33 % CPUTime :
% 0.09/0.33 % Drodi V3.6.0
% 21.08/3.03 % Refutation found
% 21.08/3.03 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 21.08/3.03 % SZS output start CNFRefutation for theBenchmark
% See solution above
% 22.06/3.16 % Elapsed time: 2.823107 seconds
% 22.06/3.16 % CPU time: 21.855142 seconds
% 22.06/3.16 % Total memory used: 462.292 MB
% 22.06/3.16 % Net memory used: 458.246 MB
%------------------------------------------------------------------------------