TSTP Solution File: GRP685-10 by Drodi---3.6.0
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- Process Solution
%------------------------------------------------------------------------------
% File : Drodi---3.6.0
% Problem : GRP685-10 : TPTP v8.1.2. Released v8.1.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% Computer : n032.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 20:21:24 EDT 2024
% Result : Unsatisfiable 0.15s 0.59s
% Output : CNFRefutation 2.20s
% Verified :
% SZS Type : Refutation
% Derivation depth : 54
% Number of leaves : 8
% Syntax : Number of formulae : 173 ( 173 unt; 0 def)
% Number of atoms : 173 ( 172 equ)
% Maximal formula atoms : 1 ( 1 avg)
% Number of connectives : 8 ( 8 ~; 0 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 5 ( 3 avg)
% Maximal term depth : 7 ( 2 avg)
% Number of predicates : 2 ( 0 usr; 1 prp; 0-2 aty)
% Number of functors : 6 ( 6 usr; 3 con; 0-2 aty)
% Number of variables : 380 ( 380 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
! [A] : ld(A,mult(A,A)) = A,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f2,axiom,
! [A] : rd(mult(A,A),A) = A,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f3,axiom,
! [A,B] : mult(A,ld(A,B)) = ld(A,mult(A,B)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f4,axiom,
! [A,B] : mult(rd(A,B),B) = rd(mult(A,B),B),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f5,axiom,
! [A,B,C,D] : ld(ld(A,B),mult(ld(A,B),mult(C,D))) = mult(ld(A,mult(A,C)),D),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f6,axiom,
! [A,B,C,D] : rd(mult(mult(A,B),rd(C,D)),rd(C,D)) = mult(A,rd(mult(B,D),D)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f7,axiom,
! [A,B] : ld(A,mult(A,ld(B,B))) = rd(mult(rd(A,A),B),B),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f8,negated_conjecture,
rd(mult(x6,ld(x7,x8)),ld(x7,x8)) != rd(mult(x6,x8),x8),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f9,plain,
! [X0] : ld(X0,mult(X0,X0)) = X0,
inference(cnf_transformation,[status(esa)],[f1]) ).
fof(f10,plain,
! [X0] : rd(mult(X0,X0),X0) = X0,
inference(cnf_transformation,[status(esa)],[f2]) ).
fof(f11,plain,
! [X0,X1] : mult(X0,ld(X0,X1)) = ld(X0,mult(X0,X1)),
inference(cnf_transformation,[status(esa)],[f3]) ).
fof(f12,plain,
! [X0,X1] : mult(rd(X0,X1),X1) = rd(mult(X0,X1),X1),
inference(cnf_transformation,[status(esa)],[f4]) ).
fof(f13,plain,
! [X0,X1,X2,X3] : ld(ld(X0,X1),mult(ld(X0,X1),mult(X2,X3))) = mult(ld(X0,mult(X0,X2)),X3),
inference(cnf_transformation,[status(esa)],[f5]) ).
fof(f14,plain,
! [X0,X1,X2,X3] : rd(mult(mult(X0,X1),rd(X2,X3)),rd(X2,X3)) = mult(X0,rd(mult(X1,X3),X3)),
inference(cnf_transformation,[status(esa)],[f6]) ).
fof(f15,plain,
! [X0,X1] : ld(X0,mult(X0,ld(X1,X1))) = rd(mult(rd(X0,X0),X1),X1),
inference(cnf_transformation,[status(esa)],[f7]) ).
fof(f16,plain,
rd(mult(x6,ld(x7,x8)),ld(x7,x8)) != rd(mult(x6,x8),x8),
inference(cnf_transformation,[status(esa)],[f8]) ).
fof(f17,plain,
! [X0,X1,X2,X3] : mult(ld(X0,X1),ld(ld(X0,X1),mult(X2,X3))) = mult(ld(X0,mult(X0,X2)),X3),
inference(forward_demodulation,[status(thm)],[f11,f13]) ).
fof(f18,plain,
! [X0,X1,X2,X3] : mult(ld(X0,X1),ld(ld(X0,X1),mult(X2,X3))) = mult(mult(X0,ld(X0,X2)),X3),
inference(forward_demodulation,[status(thm)],[f11,f17]) ).
fof(f19,plain,
! [X0,X1,X2,X3] : mult(rd(mult(X0,X1),rd(X2,X3)),rd(X2,X3)) = mult(X0,rd(mult(X1,X3),X3)),
inference(forward_demodulation,[status(thm)],[f12,f14]) ).
fof(f20,plain,
! [X0,X1,X2,X3] : mult(rd(mult(X0,X1),rd(X2,X3)),rd(X2,X3)) = mult(X0,mult(rd(X1,X3),X3)),
inference(forward_demodulation,[status(thm)],[f12,f19]) ).
fof(f21,plain,
! [X0,X1] : mult(X0,ld(X0,ld(X1,X1))) = rd(mult(rd(X0,X0),X1),X1),
inference(forward_demodulation,[status(thm)],[f11,f15]) ).
fof(f22,plain,
! [X0,X1] : mult(X0,ld(X0,ld(X1,X1))) = mult(rd(rd(X0,X0),X1),X1),
inference(forward_demodulation,[status(thm)],[f12,f21]) ).
fof(f23,plain,
mult(rd(x6,ld(x7,x8)),ld(x7,x8)) != rd(mult(x6,x8),x8),
inference(forward_demodulation,[status(thm)],[f12,f16]) ).
fof(f24,plain,
mult(rd(x6,ld(x7,x8)),ld(x7,x8)) != mult(rd(x6,x8),x8),
inference(forward_demodulation,[status(thm)],[f12,f23]) ).
fof(f25,plain,
! [X0] : mult(X0,ld(X0,X0)) = X0,
inference(backward_demodulation,[status(thm)],[f11,f9]) ).
fof(f26,plain,
! [X0] : mult(rd(X0,X0),X0) = X0,
inference(backward_demodulation,[status(thm)],[f12,f10]) ).
fof(f28,plain,
! [X0] : mult(X0,ld(X0,ld(X0,X0))) = ld(X0,X0),
inference(paramodulation,[status(thm)],[f25,f11]) ).
fof(f29,plain,
! [X0] : mult(rd(rd(X0,X0),X0),X0) = rd(X0,X0),
inference(paramodulation,[status(thm)],[f26,f12]) ).
fof(f30,plain,
! [X0] : mult(X0,ld(X0,ld(X0,X0))) = rd(X0,X0),
inference(forward_demodulation,[status(thm)],[f22,f29]) ).
fof(f31,plain,
! [X0] : ld(X0,X0) = rd(X0,X0),
inference(forward_demodulation,[status(thm)],[f28,f30]) ).
fof(f32,plain,
! [X0] : mult(rd(X0,ld(X0,X0)),ld(X0,X0)) = rd(X0,ld(X0,X0)),
inference(paramodulation,[status(thm)],[f25,f12]) ).
fof(f33,plain,
! [X0] : mult(ld(X0,X0),X0) = X0,
inference(backward_demodulation,[status(thm)],[f31,f26]) ).
fof(f36,plain,
! [X0,X1] : mult(X0,ld(X0,ld(X1,X1))) = mult(rd(ld(X0,X0),X1),X1),
inference(backward_demodulation,[status(thm)],[f31,f22]) ).
fof(f44,plain,
! [X0,X1,X2] : mult(ld(X0,X1),ld(ld(X0,X1),X2)) = mult(mult(X0,ld(X0,X2)),ld(X2,X2)),
inference(paramodulation,[status(thm)],[f25,f18]) ).
fof(f51,plain,
! [X0] : mult(ld(X0,X0),ld(ld(X0,X0),X0)) = ld(ld(X0,X0),X0),
inference(paramodulation,[status(thm)],[f33,f11]) ).
fof(f60,plain,
! [X0,X1,X2] : mult(rd(X0,rd(X1,X2)),rd(X1,X2)) = mult(ld(X0,X0),mult(rd(X0,X2),X2)),
inference(paramodulation,[status(thm)],[f33,f20]) ).
fof(f67,plain,
! [X0,X1,X2] : mult(rd(mult(X0,X1),ld(X2,X2)),rd(X2,X2)) = mult(X0,mult(rd(X1,X2),X2)),
inference(paramodulation,[status(thm)],[f31,f20]) ).
fof(f68,plain,
! [X0,X1,X2] : mult(rd(mult(X0,X1),ld(X2,X2)),ld(X2,X2)) = mult(X0,mult(rd(X1,X2),X2)),
inference(forward_demodulation,[status(thm)],[f31,f67]) ).
fof(f77,plain,
! [X0,X1] : mult(mult(rd(X0,ld(X1,X1)),ld(X1,X1)),ld(X1,X1)) = mult(X0,mult(rd(ld(X1,X1),X1),X1)),
inference(paramodulation,[status(thm)],[f12,f68]) ).
fof(f78,plain,
! [X0,X1] : mult(mult(rd(X0,ld(X1,X1)),ld(X1,X1)),ld(X1,X1)) = mult(X0,mult(X1,ld(X1,ld(X1,X1)))),
inference(forward_demodulation,[status(thm)],[f36,f77]) ).
fof(f79,plain,
! [X0,X1] : mult(mult(rd(X0,ld(X1,X1)),ld(X1,X1)),ld(X1,X1)) = mult(X0,ld(X1,X1)),
inference(forward_demodulation,[status(thm)],[f28,f78]) ).
fof(f87,plain,
! [X0,X1] : mult(rd(X0,ld(X1,X1)),ld(X1,X1)) = mult(ld(X0,X0),mult(rd(X0,X1),X1)),
inference(paramodulation,[status(thm)],[f33,f68]) ).
fof(f88,plain,
! [X0,X1] : mult(rd(ld(X0,X0),ld(X1,X1)),ld(X1,X1)) = mult(X0,mult(rd(ld(X0,ld(X0,X0)),X1),X1)),
inference(paramodulation,[status(thm)],[f28,f68]) ).
fof(f89,plain,
! [X0,X1] : mult(X0,ld(X0,ld(ld(X1,X1),ld(X1,X1)))) = mult(X0,mult(rd(ld(X0,ld(X0,X0)),X1),X1)),
inference(forward_demodulation,[status(thm)],[f36,f88]) ).
fof(f90,plain,
! [X0,X1] : mult(rd(X0,ld(X1,X1)),ld(X1,X1)) = mult(X0,mult(rd(ld(X0,X0),X1),X1)),
inference(paramodulation,[status(thm)],[f25,f68]) ).
fof(f91,plain,
! [X0,X1] : mult(rd(X0,ld(X1,X1)),ld(X1,X1)) = mult(X0,mult(X0,ld(X0,ld(X1,X1)))),
inference(forward_demodulation,[status(thm)],[f36,f90]) ).
fof(f133,plain,
! [X0,X1,X2] : mult(mult(X0,ld(X0,X1)),ld(ld(X0,mult(X0,X1)),X2)) = mult(mult(X0,ld(X0,X2)),ld(X2,X2)),
inference(paramodulation,[status(thm)],[f11,f44]) ).
fof(f134,plain,
! [X0,X1,X2] : mult(mult(X0,ld(X0,X1)),ld(mult(X0,ld(X0,X1)),X2)) = mult(mult(X0,ld(X0,X2)),ld(X2,X2)),
inference(forward_demodulation,[status(thm)],[f11,f133]) ).
fof(f141,plain,
! [X0,X1] : mult(ld(X0,X1),ld(ld(X0,X1),ld(X0,X0))) = mult(ld(X0,X0),ld(ld(X0,X0),ld(X0,X0))),
inference(paramodulation,[status(thm)],[f28,f44]) ).
fof(f142,plain,
! [X0,X1] : mult(ld(X0,X1),ld(ld(X0,X1),ld(X0,X0))) = ld(X0,X0),
inference(forward_demodulation,[status(thm)],[f25,f141]) ).
fof(f143,plain,
! [X0,X1] : mult(ld(X0,X1),ld(ld(X0,X1),X0)) = mult(X0,ld(X0,X0)),
inference(paramodulation,[status(thm)],[f25,f44]) ).
fof(f144,plain,
! [X0,X1] : mult(ld(X0,X1),ld(ld(X0,X1),X0)) = X0,
inference(forward_demodulation,[status(thm)],[f25,f143]) ).
fof(f145,plain,
! [X0,X1,X2] : mult(ld(X0,X1),ld(ld(X0,X1),mult(X0,X2))) = mult(mult(X0,mult(X0,ld(X0,X2))),ld(mult(X0,X2),mult(X0,X2))),
inference(paramodulation,[status(thm)],[f11,f44]) ).
fof(f146,plain,
! [X0,X1] : mult(mult(X0,ld(X0,X0)),X1) = mult(mult(X0,mult(X0,ld(X0,X1))),ld(mult(X0,X1),mult(X0,X1))),
inference(forward_demodulation,[status(thm)],[f18,f145]) ).
fof(f147,plain,
! [X0,X1] : mult(X0,X1) = mult(mult(X0,mult(X0,ld(X0,X1))),ld(mult(X0,X1),mult(X0,X1))),
inference(forward_demodulation,[status(thm)],[f25,f146]) ).
fof(f149,plain,
! [X0,X1,X2,X3] : mult(rd(mult(mult(X0,ld(X0,X1)),ld(X1,X1)),ld(X2,X2)),ld(X2,X2)) = mult(ld(X0,X3),mult(rd(ld(ld(X0,X3),X1),X2),X2)),
inference(paramodulation,[status(thm)],[f44,f68]) ).
fof(f150,plain,
! [X0,X1,X2,X3] : mult(mult(X0,ld(X0,X1)),mult(rd(ld(X1,X1),X2),X2)) = mult(ld(X0,X3),mult(rd(ld(ld(X0,X3),X1),X2),X2)),
inference(forward_demodulation,[status(thm)],[f68,f149]) ).
fof(f151,plain,
! [X0,X1,X2,X3] : mult(mult(X0,ld(X0,X1)),mult(X1,ld(X1,ld(X2,X2)))) = mult(ld(X0,X3),mult(rd(ld(ld(X0,X3),X1),X2),X2)),
inference(forward_demodulation,[status(thm)],[f36,f150]) ).
fof(f169,plain,
! [X0,X1,X2] : mult(mult(X0,ld(X0,X1)),ld(mult(X0,ld(X0,X1)),ld(X1,X1))) = ld(mult(X0,ld(X0,X1)),mult(ld(X0,X2),ld(ld(X0,X2),X1))),
inference(paramodulation,[status(thm)],[f44,f11]) ).
fof(f170,plain,
! [X0] : X0 = ld(ld(X0,X0),X0),
inference(backward_demodulation,[status(thm)],[f144,f51]) ).
fof(f180,plain,
! [X0,X1,X2] : mult(ld(ld(X0,X0),X0),ld(X0,mult(X1,X2))) = mult(mult(ld(X0,X0),ld(ld(X0,X0),X1)),X2),
inference(paramodulation,[status(thm)],[f170,f18]) ).
fof(f181,plain,
! [X0,X1,X2] : mult(X0,ld(X0,mult(X1,X2))) = mult(mult(ld(X0,X0),ld(ld(X0,X0),X1)),X2),
inference(forward_demodulation,[status(thm)],[f170,f180]) ).
fof(f206,plain,
! [X0,X1,X2] : mult(rd(X0,ld(X1,X1)),ld(X1,X1)) = mult(ld(X0,X2),mult(rd(ld(ld(X0,X2),X0),X1),X1)),
inference(paramodulation,[status(thm)],[f144,f68]) ).
fof(f213,plain,
! [X0] : mult(X0,ld(ld(ld(X0,X0),X0),ld(ld(X0,X0),ld(X0,X0)))) = ld(ld(X0,X0),ld(X0,X0)),
inference(paramodulation,[status(thm)],[f170,f142]) ).
fof(f214,plain,
! [X0] : mult(X0,ld(X0,ld(ld(X0,X0),ld(X0,X0)))) = ld(ld(X0,X0),ld(X0,X0)),
inference(forward_demodulation,[status(thm)],[f170,f213]) ).
fof(f215,plain,
! [X0] : mult(X0,mult(rd(ld(X0,ld(X0,X0)),X0),X0)) = ld(ld(X0,X0),ld(X0,X0)),
inference(forward_demodulation,[status(thm)],[f89,f214]) ).
fof(f227,plain,
! [X0,X1,X2] : mult(rd(ld(X0,X0),ld(X1,X1)),ld(X1,X1)) = mult(ld(X0,X2),mult(rd(ld(ld(X0,X2),ld(X0,X0)),X1),X1)),
inference(paramodulation,[status(thm)],[f142,f68]) ).
fof(f228,plain,
! [X0,X1,X2] : mult(X0,ld(X0,ld(ld(X1,X1),ld(X1,X1)))) = mult(ld(X0,X2),mult(rd(ld(ld(X0,X2),ld(X0,X0)),X1),X1)),
inference(forward_demodulation,[status(thm)],[f36,f227]) ).
fof(f236,plain,
! [X0] : mult(X0,ld(X0,ld(ld(X0,X0),ld(X0,X0)))) = mult(ld(ld(X0,X0),ld(X0,X0)),ld(X0,X0)),
inference(paramodulation,[status(thm)],[f31,f36]) ).
fof(f237,plain,
! [X0] : mult(X0,mult(rd(ld(X0,ld(X0,X0)),X0),X0)) = mult(ld(ld(X0,X0),ld(X0,X0)),ld(X0,X0)),
inference(forward_demodulation,[status(thm)],[f89,f236]) ).
fof(f238,plain,
! [X0] : ld(ld(X0,X0),ld(X0,X0)) = mult(ld(ld(X0,X0),ld(X0,X0)),ld(X0,X0)),
inference(forward_demodulation,[status(thm)],[f215,f237]) ).
fof(f239,plain,
! [X0] : ld(ld(X0,X0),ld(X0,X0)) = ld(X0,X0),
inference(forward_demodulation,[status(thm)],[f33,f238]) ).
fof(f258,plain,
! [X0,X1,X2] : mult(X0,ld(X0,ld(X1,X1))) = mult(ld(X0,X2),mult(rd(ld(ld(X0,X2),ld(X0,X0)),X1),X1)),
inference(backward_demodulation,[status(thm)],[f239,f228]) ).
fof(f273,plain,
! [X0] : mult(ld(X0,X0),mult(rd(X0,X0),X0)) = rd(X0,ld(X0,X0)),
inference(paramodulation,[status(thm)],[f87,f32]) ).
fof(f274,plain,
! [X0] : mult(ld(X0,X0),mult(ld(X0,X0),X0)) = rd(X0,ld(X0,X0)),
inference(forward_demodulation,[status(thm)],[f31,f273]) ).
fof(f275,plain,
! [X0] : mult(ld(X0,X0),X0) = rd(X0,ld(X0,X0)),
inference(forward_demodulation,[status(thm)],[f33,f274]) ).
fof(f276,plain,
! [X0] : X0 = rd(X0,ld(X0,X0)),
inference(forward_demodulation,[status(thm)],[f33,f275]) ).
fof(f322,plain,
! [X0,X1,X2] : mult(rd(mult(X0,X1),rd(X2,ld(X2,X2))),X2) = mult(X0,mult(rd(X1,ld(X2,X2)),ld(X2,X2))),
inference(paramodulation,[status(thm)],[f276,f20]) ).
fof(f323,plain,
! [X0,X1,X2] : mult(rd(mult(X0,X1),X2),X2) = mult(X0,mult(rd(X1,ld(X2,X2)),ld(X2,X2))),
inference(forward_demodulation,[status(thm)],[f276,f322]) ).
fof(f364,plain,
! [X0,X1] : mult(rd(X0,ld(ld(X1,X1),ld(X1,X1))),ld(X1,X1)) = mult(ld(X0,X0),mult(rd(X0,ld(X1,X1)),ld(X1,X1))),
inference(paramodulation,[status(thm)],[f239,f87]) ).
fof(f365,plain,
! [X0,X1] : mult(rd(X0,ld(X1,X1)),ld(X1,X1)) = mult(ld(X0,X0),mult(rd(X0,ld(X1,X1)),ld(X1,X1))),
inference(forward_demodulation,[status(thm)],[f239,f364]) ).
fof(f366,plain,
! [X0,X1] : mult(rd(X0,ld(X1,X1)),ld(X1,X1)) = mult(rd(mult(ld(X0,X0),X0),X1),X1),
inference(forward_demodulation,[status(thm)],[f323,f365]) ).
fof(f367,plain,
! [X0,X1] : mult(rd(X0,ld(X1,X1)),ld(X1,X1)) = mult(rd(X0,X1),X1),
inference(forward_demodulation,[status(thm)],[f33,f366]) ).
fof(f372,plain,
! [X0,X1,X2] : mult(rd(mult(X0,X1),ld(ld(X2,X2),ld(X2,X2))),ld(X2,X2)) = mult(X0,mult(rd(X1,ld(X2,X2)),ld(X2,X2))),
inference(paramodulation,[status(thm)],[f239,f68]) ).
fof(f373,plain,
! [X0,X1,X2] : mult(rd(mult(X0,X1),ld(X2,X2)),ld(X2,X2)) = mult(X0,mult(rd(X1,ld(X2,X2)),ld(X2,X2))),
inference(forward_demodulation,[status(thm)],[f239,f372]) ).
fof(f374,plain,
! [X0,X1,X2] : mult(X0,mult(rd(X1,X2),X2)) = mult(X0,mult(rd(X1,ld(X2,X2)),ld(X2,X2))),
inference(forward_demodulation,[status(thm)],[f68,f373]) ).
fof(f375,plain,
! [X0,X1,X2] : mult(X0,mult(rd(X1,X2),X2)) = mult(rd(mult(X0,X1),X2),X2),
inference(forward_demodulation,[status(thm)],[f323,f374]) ).
fof(f383,plain,
! [X0,X1,X2] : mult(ld(ld(X0,X0),ld(X0,X0)),ld(ld(X0,X0),mult(X1,X2))) = mult(mult(ld(X0,X0),ld(ld(X0,X0),X1)),X2),
inference(paramodulation,[status(thm)],[f239,f18]) ).
fof(f384,plain,
! [X0,X1,X2] : mult(ld(X0,X0),ld(ld(X0,X0),mult(X1,X2))) = mult(mult(ld(X0,X0),ld(ld(X0,X0),X1)),X2),
inference(forward_demodulation,[status(thm)],[f239,f383]) ).
fof(f385,plain,
! [X0,X1,X2] : mult(mult(X0,ld(X0,X1)),X2) = mult(mult(ld(X0,X0),ld(ld(X0,X0),X1)),X2),
inference(forward_demodulation,[status(thm)],[f18,f384]) ).
fof(f386,plain,
! [X0,X1,X2] : mult(mult(X0,ld(X0,X1)),X2) = mult(X0,ld(X0,mult(X1,X2))),
inference(forward_demodulation,[status(thm)],[f181,f385]) ).
fof(f394,plain,
! [X0,X1] : mult(rd(X0,X1),X1) = mult(ld(X0,X0),mult(rd(X0,X1),X1)),
inference(backward_demodulation,[status(thm)],[f367,f87]) ).
fof(f401,plain,
! [X0,X1,X2] : mult(rd(X0,X1),X1) = mult(ld(X0,X2),mult(rd(ld(ld(X0,X2),X0),X1),X1)),
inference(backward_demodulation,[status(thm)],[f367,f206]) ).
fof(f406,plain,
! [X0,X1] : mult(rd(X0,X1),X1) = mult(X0,mult(X0,ld(X0,ld(X1,X1)))),
inference(backward_demodulation,[status(thm)],[f367,f91]) ).
fof(f407,plain,
! [X0,X1] : mult(mult(rd(X0,X1),X1),ld(X1,X1)) = mult(X0,ld(X1,X1)),
inference(backward_demodulation,[status(thm)],[f367,f79]) ).
fof(f422,plain,
! [X0,X1,X2] : mult(ld(X0,X1),ld(ld(X0,X1),X2)) = mult(X0,ld(X0,mult(X2,ld(X2,X2)))),
inference(backward_demodulation,[status(thm)],[f386,f44]) ).
fof(f423,plain,
! [X0,X1,X2] : mult(ld(X0,X1),ld(ld(X0,X1),X2)) = mult(X0,ld(X0,X2)),
inference(forward_demodulation,[status(thm)],[f25,f422]) ).
fof(f463,plain,
! [X0,X1,X2,X3] : mult(X0,ld(X0,mult(X1,mult(X1,ld(X1,ld(X2,X2)))))) = mult(ld(X0,X3),mult(rd(ld(ld(X0,X3),X1),X2),X2)),
inference(backward_demodulation,[status(thm)],[f386,f151]) ).
fof(f464,plain,
! [X0,X1,X2,X3] : mult(X0,ld(X0,mult(rd(X1,X2),X2))) = mult(ld(X0,X3),mult(rd(ld(ld(X0,X3),X1),X2),X2)),
inference(forward_demodulation,[status(thm)],[f406,f463]) ).
fof(f466,plain,
! [X0,X1,X2] : mult(X0,ld(X0,mult(X1,ld(mult(X0,ld(X0,X1)),ld(X1,X1))))) = ld(mult(X0,ld(X0,X1)),mult(ld(X0,X2),ld(ld(X0,X2),X1))),
inference(backward_demodulation,[status(thm)],[f386,f169]) ).
fof(f467,plain,
! [X0,X1] : mult(X0,ld(X0,mult(X1,ld(mult(X0,ld(X0,X1)),ld(X1,X1))))) = ld(mult(X0,ld(X0,X1)),mult(X0,ld(X0,X1))),
inference(forward_demodulation,[status(thm)],[f423,f466]) ).
fof(f470,plain,
! [X0,X1,X2] : mult(X0,ld(X0,mult(X1,ld(mult(X0,ld(X0,X1)),X2)))) = mult(mult(X0,ld(X0,X2)),ld(X2,X2)),
inference(backward_demodulation,[status(thm)],[f386,f134]) ).
fof(f471,plain,
! [X0,X1,X2] : mult(X0,ld(X0,mult(X1,ld(mult(X0,ld(X0,X1)),X2)))) = mult(X0,ld(X0,mult(X2,ld(X2,X2)))),
inference(forward_demodulation,[status(thm)],[f386,f470]) ).
fof(f472,plain,
! [X0,X1,X2] : mult(X0,ld(X0,mult(X1,ld(mult(X0,ld(X0,X1)),X2)))) = mult(X0,ld(X0,X2)),
inference(forward_demodulation,[status(thm)],[f25,f471]) ).
fof(f493,plain,
! [X0,X1,X2] : mult(rd(X0,rd(X1,X2)),rd(X1,X2)) = mult(rd(X0,X2),X2),
inference(backward_demodulation,[status(thm)],[f394,f60]) ).
fof(f504,plain,
! [X0,X1] : mult(X0,ld(X0,ld(X1,X1))) = mult(X0,ld(X0,mult(rd(ld(X0,X0),X1),X1))),
inference(backward_demodulation,[status(thm)],[f464,f258]) ).
fof(f505,plain,
! [X0,X1] : mult(X0,ld(X0,ld(X1,X1))) = mult(X0,ld(X0,mult(X0,ld(X0,ld(X1,X1))))),
inference(forward_demodulation,[status(thm)],[f36,f504]) ).
fof(f506,plain,
! [X0,X1] : mult(X0,ld(X0,ld(X1,X1))) = mult(X0,mult(X0,ld(X0,ld(X0,ld(X1,X1))))),
inference(forward_demodulation,[status(thm)],[f11,f505]) ).
fof(f507,plain,
! [X0,X1] : mult(rd(X0,X1),X1) = mult(X0,ld(X0,mult(rd(X0,X1),X1))),
inference(backward_demodulation,[status(thm)],[f464,f401]) ).
fof(f508,plain,
! [X0,X1] : mult(X0,ld(X0,ld(X1,X1))) = ld(mult(X0,ld(X0,X1)),mult(X0,ld(X0,X1))),
inference(backward_demodulation,[status(thm)],[f472,f467]) ).
fof(f556,plain,
! [X0,X1] : mult(ld(X0,X0),ld(ld(X0,X0),mult(rd(X0,X1),X1))) = ld(ld(X0,X0),mult(rd(X0,X1),X1)),
inference(paramodulation,[status(thm)],[f394,f11]) ).
fof(f557,plain,
! [X0,X1] : mult(X0,ld(X0,mult(rd(X0,X1),X1))) = ld(ld(X0,X0),mult(rd(X0,X1),X1)),
inference(forward_demodulation,[status(thm)],[f423,f556]) ).
fof(f558,plain,
! [X0,X1] : mult(rd(X0,X1),X1) = ld(ld(X0,X0),mult(rd(X0,X1),X1)),
inference(forward_demodulation,[status(thm)],[f507,f557]) ).
fof(f577,plain,
! [X0,X1] : mult(X0,ld(X0,mult(X0,ld(X0,ld(X1,X1))))) = ld(X0,mult(rd(X0,X1),X1)),
inference(paramodulation,[status(thm)],[f406,f11]) ).
fof(f578,plain,
! [X0,X1] : mult(X0,mult(X0,ld(X0,ld(X0,ld(X1,X1))))) = ld(X0,mult(rd(X0,X1),X1)),
inference(forward_demodulation,[status(thm)],[f11,f577]) ).
fof(f579,plain,
! [X0,X1] : mult(X0,ld(X0,ld(X1,X1))) = ld(X0,mult(rd(X0,X1),X1)),
inference(forward_demodulation,[status(thm)],[f506,f578]) ).
fof(f584,plain,
! [X0,X1] : mult(mult(mult(rd(X0,X1),X1),X1),ld(X1,X1)) = mult(mult(X0,X1),ld(X1,X1)),
inference(paramodulation,[status(thm)],[f12,f407]) ).
fof(f603,plain,
! [X0,X1] : mult(mult(rd(X0,X1),X1),ld(mult(rd(X0,X1),X1),ld(X1,X1))) = ld(mult(rd(X0,X1),X1),mult(X0,ld(X1,X1))),
inference(paramodulation,[status(thm)],[f407,f11]) ).
fof(f637,plain,
! [X0,X1,X2] : mult(rd(X0,mult(rd(X1,X2),X2)),rd(mult(X1,X2),X2)) = mult(rd(X0,X2),X2),
inference(paramodulation,[status(thm)],[f12,f493]) ).
fof(f638,plain,
! [X0,X1,X2] : mult(rd(X0,mult(rd(X1,X2),X2)),mult(rd(X1,X2),X2)) = mult(rd(X0,X2),X2),
inference(forward_demodulation,[status(thm)],[f12,f637]) ).
fof(f740,plain,
! [X0,X1] : mult(mult(X0,X1),ld(mult(X0,X1),ld(X1,X1))) = ld(mult(X0,X1),mult(mult(rd(X0,X1),X1),X1)),
inference(paramodulation,[status(thm)],[f12,f579]) ).
fof(f874,plain,
! [X0,X1] : ld(X0,X1) = mult(X0,ld(X0,ld(X0,X1))),
inference(paramodulation,[status(thm)],[f25,f423]) ).
fof(f878,plain,
! [X0,X1,X2] : mult(mult(rd(X0,X1),X1),ld(ld(ld(X0,X0),mult(rd(X0,X1),X1)),X2)) = mult(ld(X0,X0),ld(ld(X0,X0),X2)),
inference(paramodulation,[status(thm)],[f558,f423]) ).
fof(f879,plain,
! [X0,X1,X2] : mult(mult(rd(X0,X1),X1),ld(mult(rd(X0,X1),X1),X2)) = mult(ld(X0,X0),ld(ld(X0,X0),X2)),
inference(forward_demodulation,[status(thm)],[f558,f878]) ).
fof(f880,plain,
! [X0,X1,X2] : mult(mult(rd(X0,X1),X1),ld(mult(rd(X0,X1),X1),X2)) = mult(X0,ld(X0,X2)),
inference(forward_demodulation,[status(thm)],[f423,f879]) ).
fof(f898,plain,
! [X0,X1,X2] : mult(ld(X0,X1),mult(ld(X0,X1),ld(ld(X0,X1),X2))) = mult(X0,ld(X0,mult(ld(X0,X1),X2))),
inference(paramodulation,[status(thm)],[f11,f423]) ).
fof(f899,plain,
! [X0,X1,X2] : mult(ld(X0,X1),mult(X0,ld(X0,X2))) = mult(X0,ld(X0,mult(ld(X0,X1),X2))),
inference(forward_demodulation,[status(thm)],[f423,f898]) ).
fof(f929,plain,
! [X0,X1] : mult(X0,ld(X0,ld(X1,X1))) = ld(mult(rd(X0,X1),X1),mult(X0,ld(X1,X1))),
inference(backward_demodulation,[status(thm)],[f880,f603]) ).
fof(f979,plain,
! [X0,X1,X2] : ld(ld(X0,X1),X2) = mult(X0,ld(X0,ld(ld(X0,X1),X2))),
inference(paramodulation,[status(thm)],[f423,f874]) ).
fof(f1186,plain,
! [X0,X1,X2] : mult(ld(X0,X1),X2) = mult(mult(ld(X0,X1),mult(X0,ld(X0,X2))),ld(mult(ld(X0,X1),X2),mult(ld(X0,X1),X2))),
inference(paramodulation,[status(thm)],[f423,f147]) ).
fof(f1187,plain,
! [X0,X1,X2] : mult(ld(X0,X1),X2) = mult(mult(X0,ld(X0,mult(ld(X0,X1),X2))),ld(mult(ld(X0,X1),X2),mult(ld(X0,X1),X2))),
inference(forward_demodulation,[status(thm)],[f899,f1186]) ).
fof(f1188,plain,
! [X0,X1,X2] : mult(ld(X0,X1),X2) = mult(X0,ld(X0,mult(mult(ld(X0,X1),X2),ld(mult(ld(X0,X1),X2),mult(ld(X0,X1),X2))))),
inference(forward_demodulation,[status(thm)],[f386,f1187]) ).
fof(f1189,plain,
! [X0,X1,X2] : mult(ld(X0,X1),X2) = mult(X0,ld(X0,mult(ld(X0,X1),X2))),
inference(forward_demodulation,[status(thm)],[f25,f1188]) ).
fof(f1648,plain,
! [X0,X1] : mult(ld(ld(X0,X0),X0),X1) = mult(ld(X0,X0),ld(ld(X0,X0),mult(X0,X1))),
inference(paramodulation,[status(thm)],[f170,f1189]) ).
fof(f1649,plain,
! [X0,X1] : mult(X0,X1) = mult(ld(X0,X0),ld(ld(X0,X0),mult(X0,X1))),
inference(forward_demodulation,[status(thm)],[f170,f1648]) ).
fof(f1650,plain,
! [X0,X1] : mult(X0,X1) = mult(X0,ld(X0,mult(X0,X1))),
inference(forward_demodulation,[status(thm)],[f423,f1649]) ).
fof(f1651,plain,
! [X0,X1] : mult(X0,X1) = mult(X0,mult(X0,ld(X0,X1))),
inference(forward_demodulation,[status(thm)],[f11,f1650]) ).
fof(f1678,plain,
! [X0,X1] : mult(rd(X0,X1),X1) = mult(X0,ld(X1,X1)),
inference(backward_demodulation,[status(thm)],[f1651,f406]) ).
fof(f1697,plain,
mult(rd(x6,ld(x7,x8)),ld(x7,x8)) != mult(x6,ld(x8,x8)),
inference(backward_demodulation,[status(thm)],[f1678,f24]) ).
fof(f1698,plain,
mult(x6,ld(ld(x7,x8),ld(x7,x8))) != mult(x6,ld(x8,x8)),
inference(forward_demodulation,[status(thm)],[f1678,f1697]) ).
fof(f1712,plain,
! [X0,X1,X2] : mult(X0,mult(rd(X1,X2),X2)) = mult(mult(X0,X1),ld(X2,X2)),
inference(backward_demodulation,[status(thm)],[f1678,f375]) ).
fof(f1713,plain,
! [X0,X1,X2] : mult(X0,mult(X1,ld(X2,X2))) = mult(mult(X0,X1),ld(X2,X2)),
inference(forward_demodulation,[status(thm)],[f1678,f1712]) ).
fof(f1733,plain,
! [X0,X1,X2] : mult(X0,ld(mult(rd(X1,X2),X2),mult(rd(X1,X2),X2))) = mult(rd(X0,X2),X2),
inference(backward_demodulation,[status(thm)],[f1678,f638]) ).
fof(f1734,plain,
! [X0,X1,X2] : mult(X0,ld(mult(X1,ld(X2,X2)),mult(rd(X1,X2),X2))) = mult(rd(X0,X2),X2),
inference(forward_demodulation,[status(thm)],[f1678,f1733]) ).
fof(f1735,plain,
! [X0,X1,X2] : mult(X0,ld(mult(X1,ld(X2,X2)),mult(X1,ld(X2,X2)))) = mult(rd(X0,X2),X2),
inference(forward_demodulation,[status(thm)],[f1678,f1734]) ).
fof(f1736,plain,
! [X0,X1,X2] : mult(X0,ld(mult(X1,ld(X2,X2)),mult(X1,ld(X2,X2)))) = mult(X0,ld(X2,X2)),
inference(forward_demodulation,[status(thm)],[f1678,f1735]) ).
fof(f1759,plain,
! [X0,X1] : mult(X0,ld(X0,ld(X1,X1))) = ld(mult(X0,ld(X1,X1)),mult(X0,ld(X1,X1))),
inference(backward_demodulation,[status(thm)],[f1678,f929]) ).
fof(f1768,plain,
! [X0,X1] : mult(mult(X0,X1),ld(mult(X0,X1),ld(X1,X1))) = ld(mult(X0,X1),mult(mult(X0,ld(X1,X1)),X1)),
inference(backward_demodulation,[status(thm)],[f1678,f740]) ).
fof(f1777,plain,
! [X0,X1] : mult(mult(mult(X0,ld(X1,X1)),X1),ld(X1,X1)) = mult(mult(X0,X1),ld(X1,X1)),
inference(backward_demodulation,[status(thm)],[f1678,f584]) ).
fof(f1778,plain,
! [X0,X1] : mult(mult(X0,ld(X1,X1)),mult(X1,ld(X1,X1))) = mult(mult(X0,X1),ld(X1,X1)),
inference(forward_demodulation,[status(thm)],[f1713,f1777]) ).
fof(f1779,plain,
! [X0,X1] : mult(mult(X0,ld(X1,X1)),X1) = mult(mult(X0,X1),ld(X1,X1)),
inference(forward_demodulation,[status(thm)],[f25,f1778]) ).
fof(f1780,plain,
! [X0,X1] : mult(mult(X0,ld(X1,X1)),X1) = mult(X0,mult(X1,ld(X1,X1))),
inference(forward_demodulation,[status(thm)],[f1713,f1779]) ).
fof(f1781,plain,
! [X0,X1] : mult(mult(X0,ld(X1,X1)),X1) = mult(X0,X1),
inference(forward_demodulation,[status(thm)],[f25,f1780]) ).
fof(f1806,plain,
! [X0,X1,X2] : mult(X0,mult(X1,ld(X1,ld(X2,X2)))) = mult(X0,ld(X2,X2)),
inference(backward_demodulation,[status(thm)],[f1759,f1736]) ).
fof(f1808,plain,
! [X0,X1] : mult(mult(X0,X1),ld(mult(X0,X1),ld(X1,X1))) = ld(mult(X0,X1),mult(X0,X1)),
inference(backward_demodulation,[status(thm)],[f1781,f1768]) ).
fof(f2327,plain,
! [X0,X1] : mult(ld(X0,X1),ld(mult(X0,ld(X0,ld(X0,X1))),ld(ld(X0,ld(X0,X1)),ld(X0,ld(X0,X1))))) = ld(mult(X0,ld(X0,ld(X0,X1))),mult(X0,ld(X0,ld(X0,X1)))),
inference(paramodulation,[status(thm)],[f874,f1808]) ).
fof(f2328,plain,
! [X0,X1] : mult(ld(X0,X1),ld(ld(X0,X1),ld(ld(X0,ld(X0,X1)),ld(X0,ld(X0,X1))))) = ld(mult(X0,ld(X0,ld(X0,X1))),mult(X0,ld(X0,ld(X0,X1)))),
inference(forward_demodulation,[status(thm)],[f874,f2327]) ).
fof(f2329,plain,
! [X0,X1] : mult(X0,ld(X0,ld(ld(X0,ld(X0,X1)),ld(X0,ld(X0,X1))))) = ld(mult(X0,ld(X0,ld(X0,X1))),mult(X0,ld(X0,ld(X0,X1)))),
inference(forward_demodulation,[status(thm)],[f423,f2328]) ).
fof(f2330,plain,
! [X0,X1] : ld(ld(X0,ld(X0,X1)),ld(X0,ld(X0,X1))) = ld(mult(X0,ld(X0,ld(X0,X1))),mult(X0,ld(X0,ld(X0,X1)))),
inference(forward_demodulation,[status(thm)],[f979,f2329]) ).
fof(f2331,plain,
! [X0,X1] : ld(ld(X0,ld(X0,X1)),ld(X0,ld(X0,X1))) = mult(X0,ld(X0,ld(ld(X0,X1),ld(X0,X1)))),
inference(forward_demodulation,[status(thm)],[f508,f2330]) ).
fof(f2332,plain,
! [X0,X1] : ld(ld(X0,ld(X0,X1)),ld(X0,ld(X0,X1))) = ld(ld(X0,X1),ld(X0,X1)),
inference(forward_demodulation,[status(thm)],[f979,f2331]) ).
fof(f2870,plain,
! [X0,X1] : ld(ld(X0,mult(X0,ld(X0,X1))),ld(X0,ld(X0,mult(X0,X1)))) = ld(ld(X0,mult(X0,X1)),ld(X0,mult(X0,X1))),
inference(paramodulation,[status(thm)],[f11,f2332]) ).
fof(f2871,plain,
! [X0,X1] : ld(mult(X0,ld(X0,ld(X0,X1))),ld(X0,ld(X0,mult(X0,X1)))) = ld(ld(X0,mult(X0,X1)),ld(X0,mult(X0,X1))),
inference(forward_demodulation,[status(thm)],[f11,f2870]) ).
fof(f2872,plain,
! [X0,X1] : ld(ld(X0,X1),ld(X0,ld(X0,mult(X0,X1)))) = ld(ld(X0,mult(X0,X1)),ld(X0,mult(X0,X1))),
inference(forward_demodulation,[status(thm)],[f874,f2871]) ).
fof(f2873,plain,
! [X0,X1] : ld(ld(X0,X1),ld(X0,mult(X0,ld(X0,X1)))) = ld(ld(X0,mult(X0,X1)),ld(X0,mult(X0,X1))),
inference(forward_demodulation,[status(thm)],[f11,f2872]) ).
fof(f2874,plain,
! [X0,X1] : ld(ld(X0,X1),mult(X0,ld(X0,ld(X0,X1)))) = ld(ld(X0,mult(X0,X1)),ld(X0,mult(X0,X1))),
inference(forward_demodulation,[status(thm)],[f11,f2873]) ).
fof(f2875,plain,
! [X0,X1] : ld(ld(X0,X1),ld(X0,X1)) = ld(ld(X0,mult(X0,X1)),ld(X0,mult(X0,X1))),
inference(forward_demodulation,[status(thm)],[f874,f2874]) ).
fof(f2876,plain,
! [X0,X1] : ld(ld(X0,X1),ld(X0,X1)) = ld(mult(X0,ld(X0,X1)),ld(X0,mult(X0,X1))),
inference(forward_demodulation,[status(thm)],[f11,f2875]) ).
fof(f2877,plain,
! [X0,X1] : ld(ld(X0,X1),ld(X0,X1)) = ld(mult(X0,ld(X0,X1)),mult(X0,ld(X0,X1))),
inference(forward_demodulation,[status(thm)],[f11,f2876]) ).
fof(f2878,plain,
! [X0,X1] : ld(ld(X0,X1),ld(X0,X1)) = mult(X0,ld(X0,ld(X1,X1))),
inference(forward_demodulation,[status(thm)],[f508,f2877]) ).
fof(f3033,plain,
mult(x6,mult(x7,ld(x7,ld(x8,x8)))) != mult(x6,ld(x8,x8)),
inference(backward_demodulation,[status(thm)],[f2878,f1698]) ).
fof(f3034,plain,
mult(x6,ld(x8,x8)) != mult(x6,ld(x8,x8)),
inference(forward_demodulation,[status(thm)],[f1806,f3033]) ).
fof(f3035,plain,
$false,
inference(trivial_equality_resolution,[status(esa)],[f3034]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.09 % Problem : GRP685-10 : TPTP v8.1.2. Released v8.1.0.
% 0.00/0.10 % Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.09/0.30 % Computer : n032.cluster.edu
% 0.09/0.30 % Model : x86_64 x86_64
% 0.09/0.30 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.30 % Memory : 8042.1875MB
% 0.09/0.30 % OS : Linux 3.10.0-693.el7.x86_64
% 0.09/0.30 % CPULimit : 300
% 0.09/0.30 % WCLimit : 300
% 0.09/0.30 % DateTime : Tue Apr 30 00:37:35 EDT 2024
% 0.09/0.30 % CPUTime :
% 0.09/0.31 % Drodi V3.6.0
% 0.15/0.59 % Refutation found
% 0.15/0.59 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.15/0.59 % SZS output start CNFRefutation for theBenchmark
% See solution above
% 2.20/0.60 % Elapsed time: 0.299974 seconds
% 2.20/0.60 % CPU time: 2.294819 seconds
% 2.20/0.60 % Total memory used: 55.487 MB
% 2.20/0.60 % Net memory used: 53.392 MB
%------------------------------------------------------------------------------