TSTP Solution File: GRP660-10 by Drodi---3.6.0
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- Process Solution
%------------------------------------------------------------------------------
% File : Drodi---3.6.0
% Problem : GRP660-10 : TPTP v8.1.2. Released v8.1.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% Computer : n014.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 46.48s 6.25s
% Output : CNFRefutation 47.05s
% Verified :
% SZS Type : Refutation
% Derivation depth : 54
% Number of leaves : 6
% Syntax : Number of formulae : 157 ( 157 unt; 0 def)
% Number of atoms : 157 ( 156 equ)
% Maximal formula atoms : 1 ( 1 avg)
% Number of connectives : 4 ( 4 ~; 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; 0 con; 1-2 aty)
% Number of variables : 333 ( 333 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
! [A,B] : mult(A,ld(A,B)) = B,
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f2,axiom,
! [A,B] : ld(A,mult(A,B)) = B,
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f3,axiom,
! [A,B] : mult(rd(A,B),B) = A,
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f4,axiom,
! [A,B] : rd(mult(A,B),B) = A,
file('/export/starexec/sandbox/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/sandbox/benchmark/theBenchmark.p') ).
fof(f6,negated_conjecture,
! [X0] : tuple(mult(X0,x1(X0)),mult(x1_2(X0),X0)) != tuple(x1(X0),x1_2(X0)),
file('/export/starexec/sandbox/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,
! [X0] : tuple(mult(X0,x1(X0)),mult(x1_2(X0),X0)) != tuple(x1(X0),x1_2(X0)),
inference(cnf_transformation,[status(esa)],[f6]) ).
fof(f13,plain,
! [X0,X1] : ld(rd(X0,X1),X0) = X1,
inference(paramodulation,[status(thm)],[f9,f8]) ).
fof(f14,plain,
! [X0,X1] : rd(X0,ld(X1,X0)) = X1,
inference(paramodulation,[status(thm)],[f7,f10]) ).
fof(f18,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(f19,plain,
! [X0,X1,X2,X3] : mult(mult(mult(X0,mult(X1,mult(X2,X0))),X3),mult(mult(X0,X1),X2)) = mult(mult(mult(X0,X1),X2),mult(X0,mult(X3,mult(mult(X0,X1),X2)))),
inference(paramodulation,[status(thm)],[f11,f11]) ).
fof(f20,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(f21,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(f22,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(f23,plain,
! [X0,X1,X2] : ld(mult(mult(X0,X1),X2),mult(X0,mult(X1,mult(X2,X0)))) = X0,
inference(paramodulation,[status(thm)],[f11,f8]) ).
fof(f27,plain,
! [X0,X1,X2] : rd(mult(X0,X1),X0) = mult(mult(X0,rd(X1,mult(X2,X0))),X2),
inference(paramodulation,[status(thm)],[f9,f22]) ).
fof(f29,plain,
! [X0,X1,X2] : rd(mult(X0,mult(X1,X2)),X0) = mult(mult(X0,X1),rd(X2,X0)),
inference(paramodulation,[status(thm)],[f9,f22]) ).
fof(f50,plain,
! [X0,X1,X2] : ld(mult(mult(ld(X0,X1),X2),X0),mult(ld(X0,X1),mult(X2,X1))) = ld(X0,X1),
inference(paramodulation,[status(thm)],[f7,f23]) ).
fof(f54,plain,
! [X0,X1] : mult(X0,X1) = mult(mult(mult(X0,X1),X0),rd(X1,mult(X0,X1))),
inference(paramodulation,[status(thm)],[f10,f29]) ).
fof(f59,plain,
! [X0,X1,X2] : rd(mult(X0,X1),X0) = mult(mult(X0,rd(X1,X2)),rd(X2,X0)),
inference(paramodulation,[status(thm)],[f9,f29]) ).
fof(f60,plain,
! [X0,X1,X2] : rd(mult(X0,X1),X0) = mult(mult(X0,X2),rd(ld(X2,X1),X0)),
inference(paramodulation,[status(thm)],[f7,f29]) ).
fof(f113,plain,
! [X0,X1,X2] : ld(X0,mult(X1,X0)) = mult(X2,mult(ld(mult(X0,X2),X1),X0)),
inference(paramodulation,[status(thm)],[f18,f8]) ).
fof(f130,plain,
! [X0,X1,X2] : mult(mult(X0,rd(X1,X2)),X2) = mult(X2,mult(ld(X2,X0),X1)),
inference(paramodulation,[status(thm)],[f9,f21]) ).
fof(f132,plain,
! [X0,X1,X2] : mult(mult(X0,X1),ld(X1,X2)) = mult(ld(X1,X2),mult(ld(ld(X1,X2),X0),X2)),
inference(paramodulation,[status(thm)],[f7,f21]) ).
fof(f147,plain,
! [X0,X1,X2] : ld(X0,mult(mult(X1,X2),X0)) = mult(ld(X0,X1),mult(X2,X0)),
inference(paramodulation,[status(thm)],[f21,f8]) ).
fof(f182,plain,
! [X0,X1,X2] : rd(ld(X0,mult(mult(X1,X2),X0)),mult(X2,X0)) = ld(X0,X1),
inference(paramodulation,[status(thm)],[f147,f10]) ).
fof(f194,plain,
! [X0,X1,X2] : rd(ld(X0,mult(X1,X0)),mult(X2,X0)) = ld(X0,rd(X1,X2)),
inference(paramodulation,[status(thm)],[f9,f182]) ).
fof(f434,plain,
! [X0,X1] : rd(mult(X0,X1),rd(X1,mult(X0,X1))) = mult(mult(X0,X1),X0),
inference(paramodulation,[status(thm)],[f54,f10]) ).
fof(f460,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,f434]) ).
fof(f461,plain,
! [X0,X1] : rd(X0,rd(X1,X0)) = mult(mult(rd(X0,X1),X1),rd(X0,X1)),
inference(forward_demodulation,[status(thm)],[f9,f460]) ).
fof(f462,plain,
! [X0,X1] : rd(X0,rd(X1,X0)) = mult(X0,rd(X0,X1)),
inference(forward_demodulation,[status(thm)],[f9,f461]) ).
fof(f508,plain,
! [X0,X1] : rd(X0,X1) = mult(X0,rd(X0,mult(X1,X0))),
inference(paramodulation,[status(thm)],[f10,f462]) ).
fof(f510,plain,
! [X0,X1] : rd(ld(X0,X1),X0) = mult(ld(X0,X1),rd(ld(X0,X1),X1)),
inference(paramodulation,[status(thm)],[f14,f462]) ).
fof(f515,plain,
! [X0,X1] : ld(mult(X0,rd(X0,X1)),X0) = rd(X1,X0),
inference(paramodulation,[status(thm)],[f462,f13]) ).
fof(f554,plain,
! [X0,X1] : ld(X0,rd(X0,X1)) = rd(X0,mult(X1,X0)),
inference(paramodulation,[status(thm)],[f508,f8]) ).
fof(f717,plain,
! [X0,X1] : ld(mult(X0,X1),X0) = rd(ld(X1,X0),X0),
inference(paramodulation,[status(thm)],[f14,f515]) ).
fof(f722,plain,
! [X0,X1] : rd(ld(X0,X1),X0) = mult(ld(X0,X1),ld(mult(X1,X0),X1)),
inference(backward_demodulation,[status(thm)],[f717,f510]) ).
fof(f733,plain,
! [X0,X1] : ld(ld(X0,X1),rd(ld(X0,X1),X0)) = rd(ld(X0,X1),X1),
inference(paramodulation,[status(thm)],[f7,f554]) ).
fof(f734,plain,
! [X0,X1] : ld(ld(X0,X1),rd(ld(X0,X1),X0)) = ld(mult(X1,X0),X1),
inference(forward_demodulation,[status(thm)],[f717,f733]) ).
fof(f746,plain,
! [X0,X1] : ld(ld(X0,rd(X0,X1)),X0) = mult(X1,X0),
inference(paramodulation,[status(thm)],[f554,f13]) ).
fof(f770,plain,
! [X0,X1] : ld(ld(mult(X0,X1),X0),ld(X1,X0)) = X0,
inference(paramodulation,[status(thm)],[f717,f13]) ).
fof(f774,plain,
! [X0,X1] : ld(ld(mult(X0,X1),X0),mult(X0,X1)) = mult(X1,mult(X0,X1)),
inference(paramodulation,[status(thm)],[f10,f746]) ).
fof(f920,plain,
! [X0,X1] : ld(rd(X0,X1),mult(X1,rd(X1,X0))) = mult(rd(X1,X0),mult(X1,rd(X1,X0))),
inference(paramodulation,[status(thm)],[f515,f774]) ).
fof(f1176,plain,
! [X0,X1,X2] : rd(mult(rd(X0,X1),X2),rd(X0,X1)) = mult(X0,rd(ld(X1,X2),rd(X0,X1))),
inference(paramodulation,[status(thm)],[f9,f60]) ).
fof(f1521,plain,
! [X0,X1,X2] : ld(X0,ld(X1,mult(X2,X1))) = mult(ld(mult(X1,X0),X2),X1),
inference(paramodulation,[status(thm)],[f113,f8]) ).
fof(f1737,plain,
! [X0,X1] : ld(mult(mult(X0,X1),X1),mult(X0,X1)) = ld(X1,rd(X0,X0)),
inference(paramodulation,[status(thm)],[f717,f194]) ).
fof(f1778,plain,
! [X0,X1,X2] : rd(ld(X0,mult(X1,X0)),X2) = ld(X0,rd(X1,rd(X2,X0))),
inference(paramodulation,[status(thm)],[f9,f194]) ).
fof(f4755,plain,
! [X0] : ld(rd(mult(X0,X0),X0),mult(X0,rd(X0,X0))) = ld(rd(X0,X0),rd(X0,X0)),
inference(paramodulation,[status(thm)],[f59,f1737]) ).
fof(f4756,plain,
! [X0] : ld(X0,mult(X0,rd(X0,X0))) = ld(rd(X0,X0),rd(X0,X0)),
inference(forward_demodulation,[status(thm)],[f10,f4755]) ).
fof(f4757,plain,
! [X0] : rd(X0,X0) = ld(rd(X0,X0),rd(X0,X0)),
inference(forward_demodulation,[status(thm)],[f8,f4756]) ).
fof(f4910,plain,
! [X0] : ld(ld(rd(X0,X0),rd(X0,X0)),rd(rd(X0,X0),rd(X0,X0))) = ld(mult(rd(X0,X0),rd(X0,X0)),rd(X0,X0)),
inference(paramodulation,[status(thm)],[f4757,f734]) ).
fof(f4911,plain,
! [X0] : ld(rd(X0,X0),rd(rd(X0,X0),rd(X0,X0))) = ld(mult(rd(X0,X0),rd(X0,X0)),rd(X0,X0)),
inference(forward_demodulation,[status(thm)],[f4757,f4910]) ).
fof(f4929,plain,
! [X0] : ld(ld(mult(rd(X0,X0),rd(X0,X0)),rd(X0,X0)),rd(X0,X0)) = rd(X0,X0),
inference(paramodulation,[status(thm)],[f4757,f770]) ).
fof(f4930,plain,
! [X0] : ld(ld(rd(X0,X0),rd(rd(X0,X0),rd(X0,X0))),rd(X0,X0)) = rd(X0,X0),
inference(forward_demodulation,[status(thm)],[f4911,f4929]) ).
fof(f4931,plain,
! [X0] : mult(rd(X0,X0),rd(X0,X0)) = rd(X0,X0),
inference(forward_demodulation,[status(thm)],[f746,f4930]) ).
fof(f4971,plain,
! [X0] : mult(mult(X0,rd(X0,X0)),rd(X0,X0)) = mult(rd(X0,X0),mult(X0,rd(X0,X0))),
inference(paramodulation,[status(thm)],[f4931,f20]) ).
fof(f4972,plain,
! [X0] : rd(mult(X0,X0),X0) = mult(rd(X0,X0),mult(X0,rd(X0,X0))),
inference(forward_demodulation,[status(thm)],[f59,f4971]) ).
fof(f4973,plain,
! [X0] : X0 = mult(rd(X0,X0),mult(X0,rd(X0,X0))),
inference(forward_demodulation,[status(thm)],[f10,f4972]) ).
fof(f4974,plain,
! [X0] : X0 = ld(rd(X0,X0),mult(X0,rd(X0,X0))),
inference(forward_demodulation,[status(thm)],[f920,f4973]) ).
fof(f5069,plain,
! [X0,X1] : rd(mult(rd(X0,X0),X1),rd(X0,X0)) = mult(rd(X0,X0),rd(ld(rd(X0,X0),X1),rd(X0,X0))),
inference(paramodulation,[status(thm)],[f4931,f60]) ).
fof(f5070,plain,
! [X0,X1] : mult(X0,rd(ld(X0,X1),rd(X0,X0))) = mult(rd(X0,X0),rd(ld(rd(X0,X0),X1),rd(X0,X0))),
inference(forward_demodulation,[status(thm)],[f1176,f5069]) ).
fof(f5089,plain,
! [X0,X1,X2] : mult(mult(mult(rd(X0,X0),mult(X1,rd(X0,X0))),X2),mult(mult(rd(X0,X0),X1),rd(X0,X0))) = mult(mult(mult(rd(X0,X0),X1),rd(X0,X0)),mult(rd(X0,X0),mult(X2,mult(mult(rd(X0,X0),X1),rd(X0,X0))))),
inference(paramodulation,[status(thm)],[f4931,f19]) ).
fof(f5098,plain,
! [X0,X1] : rd(mult(rd(X0,X0),X1),rd(X0,X0)) = mult(mult(rd(X0,X0),rd(X1,rd(X0,X0))),rd(X0,X0)),
inference(paramodulation,[status(thm)],[f4931,f27]) ).
fof(f5099,plain,
! [X0,X1] : mult(X0,rd(ld(X0,X1),rd(X0,X0))) = mult(mult(rd(X0,X0),rd(X1,rd(X0,X0))),rd(X0,X0)),
inference(forward_demodulation,[status(thm)],[f1176,f5098]) ).
fof(f5100,plain,
! [X0,X1] : mult(X0,rd(ld(X0,X1),rd(X0,X0))) = mult(rd(X0,X0),mult(ld(rd(X0,X0),rd(X0,X0)),X1)),
inference(forward_demodulation,[status(thm)],[f130,f5099]) ).
fof(f5101,plain,
! [X0,X1] : mult(X0,rd(ld(X0,X1),rd(X0,X0))) = mult(rd(X0,X0),mult(rd(X0,X0),X1)),
inference(forward_demodulation,[status(thm)],[f4757,f5100]) ).
fof(f5172,plain,
! [X0] : ld(ld(mult(mult(X0,rd(X0,X0)),rd(X0,X0)),mult(X0,rd(X0,X0))),X0) = mult(X0,rd(X0,X0)),
inference(paramodulation,[status(thm)],[f4974,f770]) ).
fof(f5173,plain,
! [X0] : ld(ld(rd(X0,X0),rd(X0,X0)),X0) = mult(X0,rd(X0,X0)),
inference(forward_demodulation,[status(thm)],[f1737,f5172]) ).
fof(f5174,plain,
! [X0] : ld(rd(X0,X0),X0) = mult(X0,rd(X0,X0)),
inference(forward_demodulation,[status(thm)],[f4757,f5173]) ).
fof(f5175,plain,
! [X0] : X0 = mult(X0,rd(X0,X0)),
inference(forward_demodulation,[status(thm)],[f13,f5174]) ).
fof(f5227,plain,
! [X0] : ld(X0,X0) = rd(X0,X0),
inference(paramodulation,[status(thm)],[f5175,f515]) ).
fof(f5445,plain,
! [X0,X1] : rd(mult(rd(X0,X0),X1),rd(X0,X0)) = mult(mult(rd(X0,X0),rd(X1,X0)),X0),
inference(paramodulation,[status(thm)],[f5175,f27]) ).
fof(f5446,plain,
! [X0,X1] : mult(X0,rd(ld(X0,X1),rd(X0,X0))) = mult(mult(rd(X0,X0),rd(X1,X0)),X0),
inference(forward_demodulation,[status(thm)],[f1176,f5445]) ).
fof(f5447,plain,
! [X0,X1] : mult(X0,rd(ld(X0,X1),ld(X0,X0))) = mult(mult(rd(X0,X0),rd(X1,X0)),X0),
inference(forward_demodulation,[status(thm)],[f5227,f5446]) ).
fof(f5448,plain,
! [X0,X1] : mult(X0,rd(ld(X0,X1),ld(X0,X0))) = mult(X0,mult(ld(X0,rd(X0,X0)),X1)),
inference(forward_demodulation,[status(thm)],[f130,f5447]) ).
fof(f5449,plain,
! [X0,X1] : mult(X0,rd(ld(X0,X1),ld(X0,X0))) = mult(X0,mult(ld(X0,ld(X0,X0)),X1)),
inference(forward_demodulation,[status(thm)],[f5227,f5448]) ).
fof(f5480,plain,
! [X0] : rd(X0,X0) = ld(rd(X0,X0),ld(X0,X0)),
inference(backward_demodulation,[status(thm)],[f5227,f4757]) ).
fof(f5481,plain,
! [X0] : ld(X0,X0) = ld(rd(X0,X0),ld(X0,X0)),
inference(forward_demodulation,[status(thm)],[f5227,f5480]) ).
fof(f5482,plain,
! [X0] : ld(X0,X0) = ld(ld(X0,X0),ld(X0,X0)),
inference(forward_demodulation,[status(thm)],[f5227,f5481]) ).
fof(f5558,plain,
! [X0,X1] : mult(X0,rd(ld(X0,X1),rd(X0,X0))) = mult(rd(X0,X0),mult(ld(X0,X0),X1)),
inference(backward_demodulation,[status(thm)],[f5227,f5101]) ).
fof(f5559,plain,
! [X0,X1] : mult(X0,rd(ld(X0,X1),ld(X0,X0))) = mult(rd(X0,X0),mult(ld(X0,X0),X1)),
inference(forward_demodulation,[status(thm)],[f5227,f5558]) ).
fof(f5560,plain,
! [X0,X1] : mult(X0,mult(ld(X0,ld(X0,X0)),X1)) = mult(rd(X0,X0),mult(ld(X0,X0),X1)),
inference(forward_demodulation,[status(thm)],[f5449,f5559]) ).
fof(f5561,plain,
! [X0,X1] : mult(X0,mult(ld(X0,ld(X0,X0)),X1)) = mult(ld(X0,X0),mult(ld(X0,X0),X1)),
inference(forward_demodulation,[status(thm)],[f5227,f5560]) ).
fof(f5562,plain,
! [X0,X1,X2] : mult(mult(mult(rd(X0,X0),mult(X1,rd(X0,X0))),X2),mult(mult(rd(X0,X0),X1),rd(X0,X0))) = mult(mult(mult(rd(X0,X0),X1),rd(X0,X0)),mult(rd(X0,X0),mult(X2,mult(mult(rd(X0,X0),X1),ld(X0,X0))))),
inference(backward_demodulation,[status(thm)],[f5227,f5089]) ).
fof(f5563,plain,
! [X0,X1,X2] : mult(mult(mult(ld(X0,X0),mult(X1,rd(X0,X0))),X2),mult(mult(rd(X0,X0),X1),rd(X0,X0))) = mult(mult(mult(rd(X0,X0),X1),rd(X0,X0)),mult(rd(X0,X0),mult(X2,mult(mult(rd(X0,X0),X1),ld(X0,X0))))),
inference(forward_demodulation,[status(thm)],[f5227,f5562]) ).
fof(f5564,plain,
! [X0,X1,X2] : mult(mult(mult(ld(X0,X0),mult(X1,ld(X0,X0))),X2),mult(mult(rd(X0,X0),X1),rd(X0,X0))) = mult(mult(mult(rd(X0,X0),X1),rd(X0,X0)),mult(rd(X0,X0),mult(X2,mult(mult(rd(X0,X0),X1),ld(X0,X0))))),
inference(forward_demodulation,[status(thm)],[f5227,f5563]) ).
fof(f5565,plain,
! [X0,X1,X2] : mult(mult(mult(ld(X0,X0),mult(X1,ld(X0,X0))),X2),mult(mult(ld(X0,X0),X1),rd(X0,X0))) = mult(mult(mult(rd(X0,X0),X1),rd(X0,X0)),mult(rd(X0,X0),mult(X2,mult(mult(rd(X0,X0),X1),ld(X0,X0))))),
inference(forward_demodulation,[status(thm)],[f5227,f5564]) ).
fof(f5566,plain,
! [X0,X1,X2] : mult(mult(mult(ld(X0,X0),mult(X1,ld(X0,X0))),X2),mult(mult(ld(X0,X0),X1),ld(X0,X0))) = mult(mult(mult(rd(X0,X0),X1),rd(X0,X0)),mult(rd(X0,X0),mult(X2,mult(mult(rd(X0,X0),X1),ld(X0,X0))))),
inference(forward_demodulation,[status(thm)],[f5227,f5565]) ).
fof(f5567,plain,
! [X0,X1,X2] : mult(mult(mult(ld(X0,X0),mult(X1,ld(X0,X0))),X2),mult(mult(ld(X0,X0),X1),ld(X0,X0))) = mult(mult(mult(ld(X0,X0),X1),rd(X0,X0)),mult(rd(X0,X0),mult(X2,mult(mult(rd(X0,X0),X1),ld(X0,X0))))),
inference(forward_demodulation,[status(thm)],[f5227,f5566]) ).
fof(f5568,plain,
! [X0,X1,X2] : mult(mult(mult(ld(X0,X0),mult(X1,ld(X0,X0))),X2),mult(mult(ld(X0,X0),X1),ld(X0,X0))) = mult(mult(mult(ld(X0,X0),X1),ld(X0,X0)),mult(rd(X0,X0),mult(X2,mult(mult(rd(X0,X0),X1),ld(X0,X0))))),
inference(forward_demodulation,[status(thm)],[f5227,f5567]) ).
fof(f5569,plain,
! [X0,X1,X2] : mult(mult(mult(ld(X0,X0),mult(X1,ld(X0,X0))),X2),mult(mult(ld(X0,X0),X1),ld(X0,X0))) = mult(mult(mult(ld(X0,X0),X1),ld(X0,X0)),mult(ld(X0,X0),mult(X2,mult(mult(rd(X0,X0),X1),ld(X0,X0))))),
inference(forward_demodulation,[status(thm)],[f5227,f5568]) ).
fof(f5570,plain,
! [X0,X1,X2] : mult(mult(mult(ld(X0,X0),mult(X1,ld(X0,X0))),X2),mult(mult(ld(X0,X0),X1),ld(X0,X0))) = mult(mult(mult(ld(X0,X0),X1),ld(X0,X0)),mult(ld(X0,X0),mult(X2,mult(mult(ld(X0,X0),X1),ld(X0,X0))))),
inference(forward_demodulation,[status(thm)],[f5227,f5569]) ).
fof(f5571,plain,
! [X0,X1] : mult(X0,rd(ld(X0,X1),rd(X0,X0))) = mult(rd(X0,X0),rd(ld(rd(X0,X0),X1),ld(X0,X0))),
inference(backward_demodulation,[status(thm)],[f5227,f5070]) ).
fof(f5572,plain,
! [X0,X1] : mult(X0,rd(ld(X0,X1),ld(X0,X0))) = mult(rd(X0,X0),rd(ld(rd(X0,X0),X1),ld(X0,X0))),
inference(forward_demodulation,[status(thm)],[f5227,f5571]) ).
fof(f5573,plain,
! [X0,X1] : mult(X0,mult(ld(X0,ld(X0,X0)),X1)) = mult(rd(X0,X0),rd(ld(rd(X0,X0),X1),ld(X0,X0))),
inference(forward_demodulation,[status(thm)],[f5449,f5572]) ).
fof(f5574,plain,
! [X0,X1] : mult(X0,mult(ld(X0,ld(X0,X0)),X1)) = mult(ld(X0,X0),rd(ld(rd(X0,X0),X1),ld(X0,X0))),
inference(forward_demodulation,[status(thm)],[f5227,f5573]) ).
fof(f5575,plain,
! [X0,X1] : mult(X0,mult(ld(X0,ld(X0,X0)),X1)) = mult(ld(X0,X0),rd(ld(ld(X0,X0),X1),ld(X0,X0))),
inference(forward_demodulation,[status(thm)],[f5227,f5574]) ).
fof(f7267,plain,
! [X0,X1] : mult(mult(X0,ld(X1,X1)),ld(ld(X1,X1),ld(X1,X1))) = mult(ld(ld(X1,X1),ld(X1,X1)),mult(ld(ld(X1,X1),X0),ld(X1,X1))),
inference(paramodulation,[status(thm)],[f5482,f132]) ).
fof(f7268,plain,
! [X0,X1] : mult(mult(X0,ld(X1,X1)),ld(X1,X1)) = mult(ld(ld(X1,X1),ld(X1,X1)),mult(ld(ld(X1,X1),X0),ld(X1,X1))),
inference(forward_demodulation,[status(thm)],[f5482,f7267]) ).
fof(f7269,plain,
! [X0,X1] : mult(mult(X0,ld(X1,X1)),ld(X1,X1)) = ld(ld(X1,X1),mult(mult(ld(X1,X1),ld(ld(X1,X1),X0)),ld(X1,X1))),
inference(forward_demodulation,[status(thm)],[f147,f7268]) ).
fof(f7270,plain,
! [X0,X1] : mult(mult(X0,ld(X1,X1)),ld(X1,X1)) = ld(ld(X1,X1),mult(X0,ld(X1,X1))),
inference(forward_demodulation,[status(thm)],[f7,f7269]) ).
fof(f7271,plain,
! [X0,X1] : mult(mult(X0,ld(X1,X1)),ld(ld(X1,X1),ld(X1,X1))) = mult(ld(X1,X1),mult(ld(ld(ld(X1,X1),ld(X1,X1)),X0),ld(X1,X1))),
inference(paramodulation,[status(thm)],[f5482,f132]) ).
fof(f7272,plain,
! [X0,X1] : mult(mult(X0,ld(X1,X1)),ld(X1,X1)) = mult(ld(X1,X1),mult(ld(ld(ld(X1,X1),ld(X1,X1)),X0),ld(X1,X1))),
inference(forward_demodulation,[status(thm)],[f5482,f7271]) ).
fof(f7273,plain,
! [X0,X1] : ld(ld(X0,X0),mult(X1,ld(X0,X0))) = mult(ld(X0,X0),mult(ld(ld(ld(X0,X0),ld(X0,X0)),X1),ld(X0,X0))),
inference(forward_demodulation,[status(thm)],[f7270,f7272]) ).
fof(f7274,plain,
! [X0,X1] : ld(ld(X0,X0),mult(X1,ld(X0,X0))) = mult(ld(X0,X0),mult(ld(ld(X0,X0),X1),ld(X0,X0))),
inference(forward_demodulation,[status(thm)],[f5482,f7273]) ).
fof(f7287,plain,
! [X0,X1] : ld(mult(mult(ld(ld(X0,X0),ld(X0,X0)),X1),ld(X0,X0)),mult(ld(X0,X0),mult(X1,ld(X0,X0)))) = ld(ld(X0,X0),ld(X0,X0)),
inference(paramodulation,[status(thm)],[f5482,f50]) ).
fof(f7288,plain,
! [X0,X1] : ld(mult(mult(ld(X0,X0),X1),ld(X0,X0)),mult(ld(X0,X0),mult(X1,ld(X0,X0)))) = ld(ld(X0,X0),ld(X0,X0)),
inference(forward_demodulation,[status(thm)],[f5482,f7287]) ).
fof(f7289,plain,
! [X0,X1] : ld(mult(mult(ld(X0,X0),X1),ld(X0,X0)),mult(ld(X0,X0),mult(X1,ld(X0,X0)))) = ld(X0,X0),
inference(forward_demodulation,[status(thm)],[f5482,f7288]) ).
fof(f11872,plain,
! [X0,X1] : mult(X0,ld(X1,X1)) = ld(ld(X1,X1),mult(rd(X0,ld(X1,X1)),ld(X1,X1))),
inference(paramodulation,[status(thm)],[f9,f7270]) ).
fof(f11873,plain,
! [X0,X1] : mult(X0,ld(X1,X1)) = ld(ld(X1,X1),X0),
inference(forward_demodulation,[status(thm)],[f9,f11872]) ).
fof(f11945,plain,
! [X0,X1] : ld(ld(ld(X0,X0),mult(ld(ld(X0,X0),X1),ld(X0,X0))),mult(ld(ld(X0,X0),X1),mult(ld(X0,X0),X1))) = ld(ld(X0,X0),X1),
inference(paramodulation,[status(thm)],[f7270,f50]) ).
fof(f11946,plain,
! [X0,X1] : ld(ld(ld(X0,X0),ld(ld(X0,X0),ld(ld(X0,X0),X1))),mult(ld(ld(X0,X0),X1),mult(ld(X0,X0),X1))) = ld(ld(X0,X0),X1),
inference(forward_demodulation,[status(thm)],[f11873,f11945]) ).
fof(f12290,plain,
! [X0,X1] : rd(ld(ld(X0,X0),mult(X1,ld(X0,X0))),ld(X0,X0)) = mult(ld(ld(X0,X0),mult(X1,ld(X0,X0))),ld(ld(ld(X0,X0),mult(X1,ld(X0,X0))),mult(X1,ld(X0,X0)))),
inference(paramodulation,[status(thm)],[f7270,f722]) ).
fof(f12291,plain,
! [X0,X1] : ld(ld(X0,X0),rd(X1,rd(ld(X0,X0),ld(X0,X0)))) = mult(ld(ld(X0,X0),mult(X1,ld(X0,X0))),ld(ld(ld(X0,X0),mult(X1,ld(X0,X0))),mult(X1,ld(X0,X0)))),
inference(forward_demodulation,[status(thm)],[f1778,f12290]) ).
fof(f12292,plain,
! [X0,X1] : ld(ld(X0,X0),rd(X1,ld(ld(X0,X0),ld(X0,X0)))) = mult(ld(ld(X0,X0),mult(X1,ld(X0,X0))),ld(ld(ld(X0,X0),mult(X1,ld(X0,X0))),mult(X1,ld(X0,X0)))),
inference(forward_demodulation,[status(thm)],[f5227,f12291]) ).
fof(f12293,plain,
! [X0,X1] : ld(ld(X0,X0),rd(X1,ld(X0,X0))) = mult(ld(ld(X0,X0),mult(X1,ld(X0,X0))),ld(ld(ld(X0,X0),mult(X1,ld(X0,X0))),mult(X1,ld(X0,X0)))),
inference(forward_demodulation,[status(thm)],[f5482,f12292]) ).
fof(f12294,plain,
! [X0,X1] : ld(ld(X0,X0),rd(X1,ld(X0,X0))) = mult(X1,ld(X0,X0)),
inference(forward_demodulation,[status(thm)],[f7,f12293]) ).
fof(f12295,plain,
! [X0,X1] : ld(ld(X0,X0),rd(X1,ld(X0,X0))) = ld(ld(X0,X0),X1),
inference(forward_demodulation,[status(thm)],[f11873,f12294]) ).
fof(f12490,plain,
! [X0,X1] : ld(ld(X0,X0),mult(X1,ld(X0,X0))) = mult(ld(X0,X0),ld(ld(X0,X0),ld(ld(X0,X0),X1))),
inference(backward_demodulation,[status(thm)],[f11873,f7274]) ).
fof(f12491,plain,
! [X0,X1] : ld(ld(X0,X0),ld(ld(X0,X0),X1)) = mult(ld(X0,X0),ld(ld(X0,X0),ld(ld(X0,X0),X1))),
inference(forward_demodulation,[status(thm)],[f11873,f12490]) ).
fof(f12492,plain,
! [X0,X1] : ld(ld(X0,X0),ld(ld(X0,X0),X1)) = ld(ld(X0,X0),X1),
inference(forward_demodulation,[status(thm)],[f7,f12491]) ).
fof(f12528,plain,
! [X0,X1] : ld(ld(ld(X0,X0),mult(ld(X0,X0),X1)),mult(ld(X0,X0),mult(X1,ld(X0,X0)))) = ld(X0,X0),
inference(backward_demodulation,[status(thm)],[f11873,f7289]) ).
fof(f12529,plain,
! [X0,X1] : ld(X0,mult(ld(X1,X1),mult(X0,ld(X1,X1)))) = ld(X1,X1),
inference(forward_demodulation,[status(thm)],[f8,f12528]) ).
fof(f12530,plain,
! [X0,X1] : ld(X0,mult(ld(X1,X1),ld(ld(X1,X1),X0))) = ld(X1,X1),
inference(forward_demodulation,[status(thm)],[f11873,f12529]) ).
fof(f12531,plain,
! [X0,X1] : ld(X0,X0) = ld(X1,X1),
inference(forward_demodulation,[status(thm)],[f7,f12530]) ).
fof(f12532,plain,
! [X0,X1,X2] : mult(mult(mult(ld(X0,X0),mult(X1,ld(X0,X0))),X2),mult(mult(ld(X0,X0),X1),ld(X0,X0))) = mult(mult(mult(ld(X0,X0),X1),ld(X0,X0)),mult(ld(X0,X0),mult(X2,ld(ld(X0,X0),mult(ld(X0,X0),X1))))),
inference(backward_demodulation,[status(thm)],[f11873,f5570]) ).
fof(f12533,plain,
! [X0,X1,X2] : mult(mult(mult(ld(X0,X0),ld(ld(X0,X0),X1)),X2),mult(mult(ld(X0,X0),X1),ld(X0,X0))) = mult(mult(mult(ld(X0,X0),X1),ld(X0,X0)),mult(ld(X0,X0),mult(X2,ld(ld(X0,X0),mult(ld(X0,X0),X1))))),
inference(forward_demodulation,[status(thm)],[f11873,f12532]) ).
fof(f12534,plain,
! [X0,X1,X2] : mult(mult(X0,X1),mult(mult(ld(X2,X2),X0),ld(X2,X2))) = mult(mult(mult(ld(X2,X2),X0),ld(X2,X2)),mult(ld(X2,X2),mult(X1,ld(ld(X2,X2),mult(ld(X2,X2),X0))))),
inference(forward_demodulation,[status(thm)],[f7,f12533]) ).
fof(f12535,plain,
! [X0,X1,X2] : mult(mult(X0,X1),ld(ld(X2,X2),mult(ld(X2,X2),X0))) = mult(mult(mult(ld(X2,X2),X0),ld(X2,X2)),mult(ld(X2,X2),mult(X1,ld(ld(X2,X2),mult(ld(X2,X2),X0))))),
inference(forward_demodulation,[status(thm)],[f11873,f12534]) ).
fof(f12536,plain,
! [X0,X1,X2] : mult(mult(X0,X1),X0) = mult(mult(mult(ld(X2,X2),X0),ld(X2,X2)),mult(ld(X2,X2),mult(X1,ld(ld(X2,X2),mult(ld(X2,X2),X0))))),
inference(forward_demodulation,[status(thm)],[f8,f12535]) ).
fof(f12537,plain,
! [X0,X1,X2] : mult(mult(X0,X1),X0) = mult(ld(ld(X2,X2),mult(ld(X2,X2),X0)),mult(ld(X2,X2),mult(X1,ld(ld(X2,X2),mult(ld(X2,X2),X0))))),
inference(forward_demodulation,[status(thm)],[f11873,f12536]) ).
fof(f12538,plain,
! [X0,X1,X2] : mult(mult(X0,X1),X0) = mult(X0,mult(ld(X2,X2),mult(X1,ld(ld(X2,X2),mult(ld(X2,X2),X0))))),
inference(forward_demodulation,[status(thm)],[f8,f12537]) ).
fof(f12539,plain,
! [X0,X1,X2] : mult(mult(X0,X1),X0) = mult(X0,mult(ld(X2,X2),mult(X1,X0))),
inference(forward_demodulation,[status(thm)],[f8,f12538]) ).
fof(f12808,plain,
! [X0,X1] : ld(ld(ld(X0,X0),ld(ld(X0,X0),X1)),mult(ld(ld(X0,X0),X1),mult(ld(X0,X0),X1))) = ld(ld(X0,X0),X1),
inference(backward_demodulation,[status(thm)],[f12492,f11946]) ).
fof(f12809,plain,
! [X0,X1] : ld(ld(ld(X0,X0),X1),mult(ld(ld(X0,X0),X1),mult(ld(X0,X0),X1))) = ld(ld(X0,X0),X1),
inference(forward_demodulation,[status(thm)],[f12492,f12808]) ).
fof(f12810,plain,
! [X0,X1] : mult(ld(X0,X0),X1) = ld(ld(X0,X0),X1),
inference(forward_demodulation,[status(thm)],[f8,f12809]) ).
fof(f12952,plain,
! [X0,X1] : mult(X0,mult(ld(X0,ld(X0,X0)),X1)) = ld(ld(X0,X0),rd(ld(ld(X0,X0),X1),ld(X0,X0))),
inference(backward_demodulation,[status(thm)],[f12810,f5575]) ).
fof(f12953,plain,
! [X0,X1] : mult(X0,mult(ld(X0,ld(X0,X0)),X1)) = ld(ld(X0,X0),ld(ld(X0,X0),X1)),
inference(forward_demodulation,[status(thm)],[f12295,f12952]) ).
fof(f12954,plain,
! [X0,X1] : mult(X0,mult(ld(X0,ld(X0,X0)),X1)) = ld(ld(X0,X0),X1),
inference(forward_demodulation,[status(thm)],[f12492,f12953]) ).
fof(f13020,plain,
! [X0,X1] : mult(X0,mult(ld(X0,ld(X0,X0)),X1)) = ld(ld(X0,X0),mult(ld(X0,X0),X1)),
inference(backward_demodulation,[status(thm)],[f12810,f5561]) ).
fof(f13021,plain,
! [X0,X1] : ld(ld(X0,X0),X1) = ld(ld(X0,X0),mult(ld(X0,X0),X1)),
inference(forward_demodulation,[status(thm)],[f12954,f13020]) ).
fof(f13022,plain,
! [X0,X1] : ld(ld(X0,X0),X1) = X1,
inference(forward_demodulation,[status(thm)],[f8,f13021]) ).
fof(f13115,plain,
! [X0,X1,X2] : mult(mult(X0,X1),X0) = mult(X0,ld(ld(X2,X2),mult(X1,X0))),
inference(backward_demodulation,[status(thm)],[f12810,f12539]) ).
fof(f13116,plain,
! [X0,X1] : mult(mult(X0,X1),X0) = mult(X0,mult(X1,X0)),
inference(forward_demodulation,[status(thm)],[f13022,f13115]) ).
fof(f14615,plain,
! [X0,X1,X2] : ld(X0,ld(X1,mult(mult(X1,X0),X1))) = mult(ld(X2,X2),X1),
inference(paramodulation,[status(thm)],[f12531,f1521]) ).
fof(f14616,plain,
! [X0,X1,X2] : ld(X0,ld(X1,mult(X1,mult(X0,X1)))) = mult(ld(X2,X2),X1),
inference(forward_demodulation,[status(thm)],[f13116,f14615]) ).
fof(f14617,plain,
! [X0,X1,X2] : ld(X0,mult(X0,X1)) = mult(ld(X2,X2),X1),
inference(forward_demodulation,[status(thm)],[f8,f14616]) ).
fof(f14618,plain,
! [X0,X1] : X0 = mult(ld(X1,X1),X0),
inference(forward_demodulation,[status(thm)],[f8,f14617]) ).
fof(f14671,plain,
! [X0,X1] : mult(X0,ld(X1,X1)) = X0,
inference(paramodulation,[status(thm)],[f12531,f7]) ).
fof(f15264,plain,
! [X0] : tuple(x1(ld(X0,X0)),mult(x1_2(ld(X0,X0)),ld(X0,X0))) != tuple(x1(ld(X0,X0)),x1_2(ld(X0,X0))),
inference(paramodulation,[status(thm)],[f14618,f12]) ).
fof(f15265,plain,
! [X0] : tuple(x1(ld(X0,X0)),x1_2(ld(X0,X0))) != tuple(x1(ld(X0,X0)),x1_2(ld(X0,X0))),
inference(forward_demodulation,[status(thm)],[f14671,f15264]) ).
fof(f15266,plain,
$false,
inference(trivial_equality_resolution,[status(esa)],[f15265]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.12/0.13 % Problem : GRP660-10 : TPTP v8.1.2. Released v8.1.0.
% 0.12/0.14 % Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.14/0.35 % Computer : n014.cluster.edu
% 0.14/0.35 % Model : x86_64 x86_64
% 0.14/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.35 % Memory : 8042.1875MB
% 0.14/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.35 % CPULimit : 300
% 0.14/0.35 % WCLimit : 300
% 0.14/0.35 % DateTime : Tue Apr 30 00:22:34 EDT 2024
% 0.14/0.35 % CPUTime :
% 0.14/0.36 % Drodi V3.6.0
% 46.48/6.25 % Refutation found
% 46.48/6.25 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 46.48/6.25 % SZS output start CNFRefutation for theBenchmark
% See solution above
% 47.77/6.41 % Elapsed time: 6.042830 seconds
% 47.77/6.41 % CPU time: 47.606527 seconds
% 47.77/6.41 % Total memory used: 1.024 GB
% 47.77/6.41 % Net memory used: 975.990 MB
%------------------------------------------------------------------------------