TSTP Solution File: GRP728-1 by Drodi---3.5.1
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Drodi---3.5.1
% Problem : GRP728-1 : TPTP v8.1.2. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% Computer : n006.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Wed May 31 12:12:37 EDT 2023
% Result : Unsatisfiable 53.91s 7.22s
% Output : CNFRefutation 55.98s
% Verified :
% SZS Type : Refutation
% Derivation depth : 40
% Number of leaves : 19
% Syntax : Number of formulae : 168 ( 168 unt; 0 def)
% Number of atoms : 168 ( 167 equ)
% Maximal formula atoms : 1 ( 1 avg)
% Number of connectives : 3 ( 3 ~; 0 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 6 ( 3 avg)
% Maximal term depth : 6 ( 2 avg)
% Number of predicates : 2 ( 0 usr; 1 prp; 0-2 aty)
% Number of functors : 12 ( 12 usr; 4 con; 0-3 aty)
% Number of variables : 404 (; 404 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
! [A] : mult(unit,A) = A,
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f2,axiom,
! [A] : mult(A,unit) = A,
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f3,axiom,
! [A] : mult(A,i(A)) = unit,
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f4,axiom,
! [A] : mult(i(A),A) = unit,
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f5,axiom,
! [A,B] : i(mult(A,B)) = mult(i(A),i(B)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f6,axiom,
! [A,B] : mult(i(A),mult(A,B)) = B,
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f7,axiom,
! [A,B] : rd(mult(A,B),B) = A,
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f8,axiom,
! [A,B] : mult(rd(A,B),B) = A,
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f9,axiom,
! [A,B,C] : mult(mult(A,mult(B,A)),C) = mult(A,mult(B,mult(A,C))),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f10,axiom,
! [A,B,C] : mult(mult(A,B),C) = mult(mult(A,mult(B,C)),asoc(A,B,C)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f11,axiom,
! [A,B] : mult(A,B) = mult(mult(B,A),op_k(A,B)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f12,axiom,
! [A,B,C] : op_l(A,B,C) = mult(i(mult(C,B)),mult(C,mult(B,A))),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f13,axiom,
! [A,B,C] : op_r(A,B,C) = rd(mult(mult(A,B),C),mult(B,C)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f14,axiom,
! [A,B] : op_t(A,B) = mult(i(B),mult(A,B)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f16,axiom,
! [A,B,C,D,E] : op_l(op_r(A,B,C),D,E) = op_r(op_l(A,D,E),B,C),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f19,axiom,
! [A,B,C,D] : op_t(op_l(A,B,C),D) = op_l(op_t(A,D),B,C),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f21,axiom,
! [A,B,C,D,E] : asoc(asoc(A,B,C),D,E) = unit,
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f22,axiom,
! [A,B,C,D,E] : asoc(A,B,asoc(C,D,E)) = unit,
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f23,negated_conjecture,
op_k(op_k(a,b),c) != unit,
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f24,plain,
! [X0] : mult(unit,X0) = X0,
inference(cnf_transformation,[status(esa)],[f1]) ).
fof(f25,plain,
! [X0] : mult(X0,unit) = X0,
inference(cnf_transformation,[status(esa)],[f2]) ).
fof(f26,plain,
! [X0] : mult(X0,i(X0)) = unit,
inference(cnf_transformation,[status(esa)],[f3]) ).
fof(f27,plain,
! [X0] : mult(i(X0),X0) = unit,
inference(cnf_transformation,[status(esa)],[f4]) ).
fof(f28,plain,
! [X0,X1] : i(mult(X0,X1)) = mult(i(X0),i(X1)),
inference(cnf_transformation,[status(esa)],[f5]) ).
fof(f29,plain,
! [X0,X1] : mult(i(X0),mult(X0,X1)) = X1,
inference(cnf_transformation,[status(esa)],[f6]) ).
fof(f30,plain,
! [X0,X1] : rd(mult(X0,X1),X1) = X0,
inference(cnf_transformation,[status(esa)],[f7]) ).
fof(f31,plain,
! [X0,X1] : mult(rd(X0,X1),X1) = X0,
inference(cnf_transformation,[status(esa)],[f8]) ).
fof(f32,plain,
! [X0,X1,X2] : mult(mult(X0,mult(X1,X0)),X2) = mult(X0,mult(X1,mult(X0,X2))),
inference(cnf_transformation,[status(esa)],[f9]) ).
fof(f33,plain,
! [X0,X1,X2] : mult(mult(X0,X1),X2) = mult(mult(X0,mult(X1,X2)),asoc(X0,X1,X2)),
inference(cnf_transformation,[status(esa)],[f10]) ).
fof(f34,plain,
! [X0,X1] : mult(X0,X1) = mult(mult(X1,X0),op_k(X0,X1)),
inference(cnf_transformation,[status(esa)],[f11]) ).
fof(f35,plain,
! [X0,X1,X2] : op_l(X0,X1,X2) = mult(i(mult(X2,X1)),mult(X2,mult(X1,X0))),
inference(cnf_transformation,[status(esa)],[f12]) ).
fof(f36,plain,
! [X0,X1,X2] : op_r(X0,X1,X2) = rd(mult(mult(X0,X1),X2),mult(X1,X2)),
inference(cnf_transformation,[status(esa)],[f13]) ).
fof(f37,plain,
! [X0,X1] : op_t(X0,X1) = mult(i(X1),mult(X0,X1)),
inference(cnf_transformation,[status(esa)],[f14]) ).
fof(f39,plain,
! [X0,X1,X2,X3,X4] : op_l(op_r(X0,X1,X2),X3,X4) = op_r(op_l(X0,X3,X4),X1,X2),
inference(cnf_transformation,[status(esa)],[f16]) ).
fof(f42,plain,
! [X0,X1,X2,X3] : op_t(op_l(X0,X1,X2),X3) = op_l(op_t(X0,X3),X1,X2),
inference(cnf_transformation,[status(esa)],[f19]) ).
fof(f44,plain,
! [X0,X1,X2,X3,X4] : asoc(asoc(X0,X1,X2),X3,X4) = unit,
inference(cnf_transformation,[status(esa)],[f21]) ).
fof(f45,plain,
! [X0,X1,X2,X3,X4] : asoc(X0,X1,asoc(X2,X3,X4)) = unit,
inference(cnf_transformation,[status(esa)],[f22]) ).
fof(f46,plain,
op_k(op_k(a,b),c) != unit,
inference(cnf_transformation,[status(esa)],[f23]) ).
fof(f65,plain,
! [X0] : rd(X0,unit) = X0,
inference(paramodulation,[status(thm)],[f25,f31]) ).
fof(f70,plain,
! [X0] : rd(unit,X0) = i(X0),
inference(paramodulation,[status(thm)],[f27,f30]) ).
fof(f71,plain,
! [X0] : rd(X0,X0) = unit,
inference(paramodulation,[status(thm)],[f24,f30]) ).
fof(f72,plain,
! [X0] : rd(unit,i(X0)) = X0,
inference(paramodulation,[status(thm)],[f26,f30]) ).
fof(f73,plain,
! [X0] : i(i(X0)) = X0,
inference(forward_demodulation,[status(thm)],[f70,f72]) ).
fof(f77,plain,
! [X0,X1] : i(mult(X0,i(X1))) = mult(i(X0),X1),
inference(paramodulation,[status(thm)],[f73,f28]) ).
fof(f78,plain,
! [X0,X1] : i(mult(i(X0),X1)) = mult(X0,i(X1)),
inference(paramodulation,[status(thm)],[f73,f28]) ).
fof(f84,plain,
! [X0,X1] : mult(X0,mult(i(X0),X1)) = X1,
inference(paramodulation,[status(thm)],[f73,f29]) ).
fof(f89,plain,
! [X0,X1] : mult(i(i(X0)),i(mult(X0,X1))) = i(X1),
inference(paramodulation,[status(thm)],[f28,f29]) ).
fof(f90,plain,
! [X0,X1] : i(mult(i(X0),mult(X0,X1))) = i(X1),
inference(forward_demodulation,[status(thm)],[f28,f89]) ).
fof(f91,plain,
! [X0,X1] : mult(X0,i(mult(X0,X1))) = i(X1),
inference(forward_demodulation,[status(thm)],[f78,f90]) ).
fof(f98,plain,
! [X0,X1] : rd(X0,mult(X1,X0)) = i(X1),
inference(paramodulation,[status(thm)],[f29,f30]) ).
fof(f103,plain,
! [X0,X1] : rd(i(X0),i(mult(X1,X0))) = i(i(X1)),
inference(paramodulation,[status(thm)],[f28,f98]) ).
fof(f104,plain,
! [X0,X1] : rd(i(X0),i(mult(X1,X0))) = X1,
inference(forward_demodulation,[status(thm)],[f73,f103]) ).
fof(f159,plain,
! [X0,X1,X2] : mult(mult(X0,X1),X2) = mult(X0,mult(rd(X1,X0),mult(X0,X2))),
inference(paramodulation,[status(thm)],[f31,f32]) ).
fof(f194,plain,
! [X0,X1] : rd(i(X0),i(X1)) = rd(X1,X0),
inference(paramodulation,[status(thm)],[f31,f104]) ).
fof(f215,plain,
! [X0,X1] : rd(X0,i(X1)) = rd(X1,i(X0)),
inference(paramodulation,[status(thm)],[f73,f194]) ).
fof(f220,plain,
! [X0,X1] : rd(i(X0),X1) = rd(i(X1),X0),
inference(paramodulation,[status(thm)],[f73,f194]) ).
fof(f303,plain,
! [X0,X1] : mult(rd(i(X0),X1),X0) = i(X1),
inference(paramodulation,[status(thm)],[f220,f31]) ).
fof(f360,plain,
! [X0,X1,X2,X3] : mult(mult(X0,mult(X1,mult(X2,X3))),asoc(X1,X2,X3)) = mult(mult(X0,mult(mult(X1,X2),X3)),asoc(X0,mult(X1,mult(X2,X3)),asoc(X1,X2,X3))),
inference(paramodulation,[status(thm)],[f33,f33]) ).
fof(f361,plain,
! [X0,X1,X2,X3] : mult(mult(X0,mult(X1,mult(X2,X3))),asoc(X1,X2,X3)) = mult(mult(X0,mult(mult(X1,X2),X3)),unit),
inference(forward_demodulation,[status(thm)],[f45,f360]) ).
fof(f362,plain,
! [X0,X1,X2,X3] : mult(mult(X0,mult(X1,mult(X2,X3))),asoc(X1,X2,X3)) = mult(X0,mult(mult(X1,X2),X3)),
inference(forward_demodulation,[status(thm)],[f25,f361]) ).
fof(f458,plain,
! [X0,X1] : op_t(X0,i(X1)) = mult(X1,mult(X0,i(X1))),
inference(paramodulation,[status(thm)],[f73,f37]) ).
fof(f472,plain,
! [X0,X1] : op_t(i(X0),i(X1)) = mult(i(i(X1)),i(mult(X0,X1))),
inference(paramodulation,[status(thm)],[f28,f37]) ).
fof(f473,plain,
! [X0,X1] : op_t(i(X0),i(X1)) = i(mult(i(X1),mult(X0,X1))),
inference(forward_demodulation,[status(thm)],[f28,f472]) ).
fof(f474,plain,
! [X0,X1] : op_t(i(X0),i(X1)) = mult(X1,i(mult(X0,X1))),
inference(forward_demodulation,[status(thm)],[f78,f473]) ).
fof(f479,plain,
! [X0,X1] : op_t(X0,mult(i(X0),X1)) = mult(i(mult(i(X0),X1)),X1),
inference(paramodulation,[status(thm)],[f84,f37]) ).
fof(f480,plain,
! [X0,X1] : op_t(X0,mult(i(X0),X1)) = mult(mult(X0,i(X1)),X1),
inference(forward_demodulation,[status(thm)],[f78,f479]) ).
fof(f481,plain,
! [X0] : op_t(X0,i(X0)) = mult(i(i(X0)),unit),
inference(paramodulation,[status(thm)],[f26,f37]) ).
fof(f482,plain,
! [X0] : op_t(X0,i(X0)) = i(i(X0)),
inference(forward_demodulation,[status(thm)],[f25,f481]) ).
fof(f483,plain,
! [X0] : op_t(X0,i(X0)) = X0,
inference(forward_demodulation,[status(thm)],[f73,f482]) ).
fof(f488,plain,
! [X0,X1] : mult(X0,op_t(X1,X0)) = mult(X1,X0),
inference(paramodulation,[status(thm)],[f37,f84]) ).
fof(f491,plain,
! [X0,X1] : mult(mult(i(X0),X1),X0) = mult(op_t(X1,X0),asoc(i(X0),X1,X0)),
inference(paramodulation,[status(thm)],[f37,f33]) ).
fof(f494,plain,
! [X0,X1] : rd(mult(X0,X1),op_t(X0,X1)) = i(i(X1)),
inference(paramodulation,[status(thm)],[f37,f98]) ).
fof(f495,plain,
! [X0,X1] : rd(mult(X0,X1),op_t(X0,X1)) = X1,
inference(forward_demodulation,[status(thm)],[f73,f494]) ).
fof(f498,plain,
! [X0,X1] : rd(op_t(X0,X1),mult(X0,X1)) = i(X1),
inference(paramodulation,[status(thm)],[f37,f30]) ).
fof(f527,plain,
! [X0,X1] : mult(i(mult(X0,X1)),mult(X1,X0)) = op_k(X1,X0),
inference(paramodulation,[status(thm)],[f34,f29]) ).
fof(f621,plain,
! [X0,X1] : op_l(X0,i(X0),X1) = mult(i(mult(X1,i(X0))),mult(X1,unit)),
inference(paramodulation,[status(thm)],[f27,f35]) ).
fof(f622,plain,
! [X0,X1] : op_l(X0,i(X0),X1) = mult(mult(i(X1),X0),mult(X1,unit)),
inference(forward_demodulation,[status(thm)],[f77,f621]) ).
fof(f623,plain,
! [X0,X1] : op_l(X0,i(X0),X1) = mult(mult(i(X1),X0),X1),
inference(forward_demodulation,[status(thm)],[f25,f622]) ).
fof(f628,plain,
! [X0,X1] : op_l(i(X0),X0,X1) = mult(i(mult(X1,X0)),mult(X1,unit)),
inference(paramodulation,[status(thm)],[f26,f35]) ).
fof(f629,plain,
! [X0,X1] : op_l(i(X0),X0,X1) = mult(i(mult(X1,X0)),X1),
inference(forward_demodulation,[status(thm)],[f25,f628]) ).
fof(f697,plain,
! [X0,X1] : op_r(X0,i(X1),X1) = rd(mult(mult(X0,i(X1)),X1),unit),
inference(paramodulation,[status(thm)],[f27,f36]) ).
fof(f698,plain,
! [X0,X1] : op_r(X0,i(X1),X1) = mult(mult(X0,i(X1)),X1),
inference(forward_demodulation,[status(thm)],[f65,f697]) ).
fof(f703,plain,
! [X0,X1] : op_r(X0,X1,i(X1)) = rd(mult(mult(X0,X1),i(X1)),unit),
inference(paramodulation,[status(thm)],[f26,f36]) ).
fof(f704,plain,
! [X0,X1] : op_r(X0,X1,i(X1)) = mult(mult(X0,X1),i(X1)),
inference(forward_demodulation,[status(thm)],[f65,f703]) ).
fof(f711,plain,
! [X0,X1] : op_t(X0,mult(i(X0),X1)) = op_r(X0,i(X1),X1),
inference(backward_demodulation,[status(thm)],[f698,f480]) ).
fof(f928,plain,
! [X0,X1] : mult(X0,i(mult(X1,X0))) = i(op_t(X1,X0)),
inference(paramodulation,[status(thm)],[f488,f91]) ).
fof(f929,plain,
! [X0,X1] : op_t(i(X0),i(X1)) = i(op_t(X0,X1)),
inference(forward_demodulation,[status(thm)],[f474,f928]) ).
fof(f949,plain,
! [X0,X1] : op_t(X0,i(mult(X0,X1))) = mult(i(i(mult(X0,X1))),i(X1)),
inference(paramodulation,[status(thm)],[f91,f37]) ).
fof(f950,plain,
! [X0,X1] : op_t(X0,i(mult(X0,X1))) = i(mult(i(mult(X0,X1)),X1)),
inference(forward_demodulation,[status(thm)],[f28,f949]) ).
fof(f951,plain,
! [X0,X1] : op_t(X0,i(mult(X0,X1))) = mult(mult(X0,X1),i(X1)),
inference(forward_demodulation,[status(thm)],[f78,f950]) ).
fof(f952,plain,
! [X0,X1] : op_t(X0,i(mult(X0,X1))) = op_r(X0,X1,i(X1)),
inference(forward_demodulation,[status(thm)],[f704,f951]) ).
fof(f969,plain,
! [X0,X1] : rd(mult(X0,X1),op_t(mult(X1,X0),op_k(X0,X1))) = op_k(X0,X1),
inference(paramodulation,[status(thm)],[f34,f495]) ).
fof(f1036,plain,
! [X0,X1] : rd(op_t(mult(X0,X1),op_k(X1,X0)),mult(X1,X0)) = i(op_k(X1,X0)),
inference(paramodulation,[status(thm)],[f34,f498]) ).
fof(f1238,plain,
! [X0,X1] : op_t(X0,i(X1)) = i(op_t(i(X0),X1)),
inference(paramodulation,[status(thm)],[f73,f929]) ).
fof(f2031,plain,
! [X0,X1,X2] : i(mult(mult(i(X0),X1),X2)) = mult(mult(X0,i(X1)),i(X2)),
inference(paramodulation,[status(thm)],[f78,f28]) ).
fof(f2493,plain,
! [X0,X1] : mult(i(X0),mult(X1,rd(X0,X1))) = op_k(X1,rd(X0,X1)),
inference(paramodulation,[status(thm)],[f31,f527]) ).
fof(f2568,plain,
! [X0,X1] : mult(i(mult(i(mult(X0,X1)),X0)),i(X1)) = op_k(X0,i(mult(X0,X1))),
inference(paramodulation,[status(thm)],[f91,f527]) ).
fof(f2569,plain,
! [X0,X1] : i(mult(mult(i(mult(X0,X1)),X0),X1)) = op_k(X0,i(mult(X0,X1))),
inference(forward_demodulation,[status(thm)],[f28,f2568]) ).
fof(f2570,plain,
! [X0,X1] : mult(mult(mult(X0,X1),i(X0)),i(X1)) = op_k(X0,i(mult(X0,X1))),
inference(forward_demodulation,[status(thm)],[f2031,f2569]) ).
fof(f3934,plain,
! [X0,X1] : mult(i(op_l(i(X0),X0,X1)),mult(X1,i(mult(X1,X0)))) = op_k(X1,i(mult(X1,X0))),
inference(paramodulation,[status(thm)],[f629,f527]) ).
fof(f3935,plain,
! [X0,X1] : mult(i(op_l(i(X0),X0,X1)),i(X0)) = op_k(X1,i(mult(X1,X0))),
inference(forward_demodulation,[status(thm)],[f91,f3934]) ).
fof(f3936,plain,
! [X0,X1] : i(mult(op_l(i(X0),X0,X1),X0)) = op_k(X1,i(mult(X1,X0))),
inference(forward_demodulation,[status(thm)],[f28,f3935]) ).
fof(f3962,plain,
! [X0,X1] : rd(X0,op_l(i(X1),X1,X0)) = i(i(mult(X0,X1))),
inference(paramodulation,[status(thm)],[f629,f98]) ).
fof(f3963,plain,
! [X0,X1] : rd(X0,op_l(i(X1),X1,X0)) = mult(X0,X1),
inference(forward_demodulation,[status(thm)],[f73,f3962]) ).
fof(f4479,plain,
! [X0,X1] : mult(mult(X0,X1),i(X0)) = mult(X0,mult(rd(X1,X0),unit)),
inference(paramodulation,[status(thm)],[f26,f159]) ).
fof(f4480,plain,
! [X0,X1] : mult(mult(X0,X1),i(X0)) = mult(X0,rd(X1,X0)),
inference(forward_demodulation,[status(thm)],[f25,f4479]) ).
fof(f4574,plain,
! [X0,X1] : mult(mult(X0,rd(X1,X0)),i(X1)) = op_k(X0,i(mult(X0,X1))),
inference(backward_demodulation,[status(thm)],[f4480,f2570]) ).
fof(f8896,plain,
! [X0,X1,X2] : mult(op_l(X0,X1,X2),asoc(X2,X1,X0)) = mult(i(mult(X2,X1)),mult(mult(X2,X1),X0)),
inference(paramodulation,[status(thm)],[f35,f362]) ).
fof(f8897,plain,
! [X0,X1,X2] : mult(op_l(X0,X1,X2),asoc(X2,X1,X0)) = X0,
inference(forward_demodulation,[status(thm)],[f29,f8896]) ).
fof(f9129,plain,
! [X0,X1,X2,X3,X4] : mult(op_l(X0,X1,asoc(X2,X3,X4)),unit) = X0,
inference(paramodulation,[status(thm)],[f44,f8897]) ).
fof(f9130,plain,
! [X0,X1,X2,X3,X4] : op_l(X0,X1,asoc(X2,X3,X4)) = X0,
inference(forward_demodulation,[status(thm)],[f25,f9129]) ).
fof(f9149,plain,
! [X0,X1,X2] : op_t(op_l(X0,X1,X2),i(X0)) = op_r(op_l(X0,X1,X2),asoc(X2,X1,X0),i(asoc(X2,X1,X0))),
inference(paramodulation,[status(thm)],[f8897,f952]) ).
fof(f9150,plain,
! [X0,X1,X2] : op_l(op_t(X0,i(X0)),X1,X2) = op_r(op_l(X0,X1,X2),asoc(X2,X1,X0),i(asoc(X2,X1,X0))),
inference(forward_demodulation,[status(thm)],[f42,f9149]) ).
fof(f9151,plain,
! [X0,X1,X2] : op_l(X0,X1,X2) = op_r(op_l(X0,X1,X2),asoc(X2,X1,X0),i(asoc(X2,X1,X0))),
inference(forward_demodulation,[status(thm)],[f483,f9150]) ).
fof(f9152,plain,
! [X0,X1,X2] : op_l(X0,X1,X2) = op_l(op_r(X0,asoc(X2,X1,X0),i(asoc(X2,X1,X0))),X1,X2),
inference(forward_demodulation,[status(thm)],[f39,f9151]) ).
fof(f9153,plain,
! [X0,X1,X2] : op_l(X0,X1,X2) = op_l(op_t(X0,i(mult(X0,asoc(X2,X1,X0)))),X1,X2),
inference(forward_demodulation,[status(thm)],[f952,f9152]) ).
fof(f9166,plain,
! [X0,X1,X2] : op_r(op_l(X0,X1,X2),asoc(X2,X1,X0),i(asoc(X2,X1,X0))) = mult(X0,i(asoc(X2,X1,X0))),
inference(paramodulation,[status(thm)],[f8897,f704]) ).
fof(f9167,plain,
! [X0,X1,X2] : op_l(op_r(X0,asoc(X1,X2,X0),i(asoc(X1,X2,X0))),X2,X1) = mult(X0,i(asoc(X1,X2,X0))),
inference(forward_demodulation,[status(thm)],[f39,f9166]) ).
fof(f9168,plain,
! [X0,X1,X2] : op_l(op_t(X0,i(mult(X0,asoc(X1,X2,X0)))),X2,X1) = mult(X0,i(asoc(X1,X2,X0))),
inference(forward_demodulation,[status(thm)],[f952,f9167]) ).
fof(f9169,plain,
! [X0,X1,X2] : op_l(X0,X1,X2) = mult(X0,i(asoc(X2,X1,X0))),
inference(forward_demodulation,[status(thm)],[f9153,f9168]) ).
fof(f9211,plain,
! [X0,X1,X2] : rd(X0,asoc(X1,X2,X0)) = op_l(X0,X2,X1),
inference(paramodulation,[status(thm)],[f8897,f30]) ).
fof(f9252,plain,
! [X0,X1,X2] : mult(op_l(i(X0),X1,X2),X0) = i(asoc(X2,X1,i(X0))),
inference(paramodulation,[status(thm)],[f9211,f303]) ).
fof(f9272,plain,
! [X0,X1] : i(i(asoc(X0,X1,i(X1)))) = op_k(X0,i(mult(X0,X1))),
inference(backward_demodulation,[status(thm)],[f9252,f3936]) ).
fof(f9273,plain,
! [X0,X1] : asoc(X0,X1,i(X1)) = op_k(X0,i(mult(X0,X1))),
inference(forward_demodulation,[status(thm)],[f73,f9272]) ).
fof(f9303,plain,
! [X0,X1,X2,X3] : mult(mult(i(asoc(X0,X1,X2)),X3),asoc(X0,X1,X2)) = X3,
inference(paramodulation,[status(thm)],[f623,f9130]) ).
fof(f9312,plain,
! [X0,X1,X2,X3] : rd(asoc(X0,X1,X2),i(X3)) = mult(asoc(X0,X1,X2),X3),
inference(paramodulation,[status(thm)],[f9130,f3963]) ).
fof(f9977,plain,
! [X0,X1,X2] : op_r(X0,i(asoc(X1,X2,X0)),asoc(X1,X2,X0)) = mult(op_l(X0,X2,X1),asoc(X1,X2,X0)),
inference(paramodulation,[status(thm)],[f9169,f698]) ).
fof(f9978,plain,
! [X0,X1,X2] : op_t(X0,mult(i(X0),asoc(X1,X2,X0))) = mult(op_l(X0,X2,X1),asoc(X1,X2,X0)),
inference(forward_demodulation,[status(thm)],[f711,f9977]) ).
fof(f9979,plain,
! [X0,X1,X2] : op_t(X0,mult(i(X0),asoc(X1,X2,X0))) = X0,
inference(forward_demodulation,[status(thm)],[f8897,f9978]) ).
fof(f9980,plain,
! [X0,X1,X2] : i(op_l(X0,X1,X2)) = mult(i(X0),asoc(X2,X1,X0)),
inference(paramodulation,[status(thm)],[f9169,f77]) ).
fof(f9981,plain,
! [X0,X1,X2] : op_t(X0,i(asoc(X1,X2,X0))) = mult(asoc(X1,X2,X0),op_l(X0,X2,X1)),
inference(paramodulation,[status(thm)],[f9169,f458]) ).
fof(f10039,plain,
! [X0,X1,X2] : rd(op_l(X0,X1,X2),i(asoc(X2,X1,X0))) = X0,
inference(paramodulation,[status(thm)],[f9169,f30]) ).
fof(f10040,plain,
! [X0,X1,X2] : rd(asoc(X0,X1,X2),i(op_l(X2,X1,X0))) = X2,
inference(forward_demodulation,[status(thm)],[f215,f10039]) ).
fof(f10041,plain,
! [X0,X1,X2] : mult(asoc(X0,X1,X2),op_l(X2,X1,X0)) = X2,
inference(forward_demodulation,[status(thm)],[f9312,f10040]) ).
fof(f10042,plain,
! [X0,X1,X2] : op_t(X0,i(asoc(X1,X2,X0))) = X0,
inference(forward_demodulation,[status(thm)],[f9981,f10041]) ).
fof(f10045,plain,
! [X0,X1,X2] : op_t(X0,i(op_l(X0,X1,X2))) = X0,
inference(backward_demodulation,[status(thm)],[f9980,f9979]) ).
fof(f10530,plain,
! [X0,X1,X2] : op_t(X0,i(i(asoc(X1,X2,i(X0))))) = i(i(X0)),
inference(paramodulation,[status(thm)],[f10042,f1238]) ).
fof(f10531,plain,
! [X0,X1,X2] : op_t(X0,asoc(X1,X2,i(X0))) = i(i(X0)),
inference(forward_demodulation,[status(thm)],[f73,f10530]) ).
fof(f10532,plain,
! [X0,X1,X2] : op_t(X0,asoc(X1,X2,i(X0))) = X0,
inference(forward_demodulation,[status(thm)],[f73,f10531]) ).
fof(f12322,plain,
! [X0,X1] : op_t(X0,i(mult(mult(i(X1),X0),X1))) = X0,
inference(paramodulation,[status(thm)],[f623,f10045]) ).
fof(f12323,plain,
! [X0,X1] : op_t(X0,mult(mult(X1,i(X0)),i(X1))) = X0,
inference(forward_demodulation,[status(thm)],[f2031,f12322]) ).
fof(f12324,plain,
! [X0,X1] : op_t(X0,mult(X1,rd(i(X0),X1))) = X0,
inference(forward_demodulation,[status(thm)],[f4480,f12323]) ).
fof(f13224,plain,
! [X0,X1] : op_t(i(X0),mult(X1,rd(X0,X1))) = i(X0),
inference(paramodulation,[status(thm)],[f73,f12324]) ).
fof(f13632,plain,
! [X0,X1] : mult(mult(X0,rd(X1,X0)),i(X1)) = mult(i(X1),mult(X0,rd(X1,X0))),
inference(paramodulation,[status(thm)],[f13224,f488]) ).
fof(f13633,plain,
! [X0,X1] : op_k(X0,i(mult(X0,X1))) = mult(i(X1),mult(X0,rd(X1,X0))),
inference(forward_demodulation,[status(thm)],[f4574,f13632]) ).
fof(f13634,plain,
! [X0,X1] : op_k(X0,i(mult(X0,X1))) = op_k(X0,rd(X1,X0)),
inference(forward_demodulation,[status(thm)],[f2493,f13633]) ).
fof(f13646,plain,
! [X0,X1] : asoc(X0,X1,i(X1)) = op_k(X0,rd(X1,X0)),
inference(backward_demodulation,[status(thm)],[f13634,f9273]) ).
fof(f13726,plain,
! [X0,X1] : op_t(X0,op_k(X1,rd(X0,X1))) = X0,
inference(paramodulation,[status(thm)],[f13646,f10532]) ).
fof(f13806,plain,
! [X0,X1] : op_t(mult(X0,X1),op_k(X1,X0)) = mult(X0,X1),
inference(paramodulation,[status(thm)],[f30,f13726]) ).
fof(f13887,plain,
! [X0,X1] : rd(mult(X0,X1),mult(X1,X0)) = i(op_k(X1,X0)),
inference(backward_demodulation,[status(thm)],[f13806,f1036]) ).
fof(f13888,plain,
! [X0,X1] : rd(mult(X0,X1),mult(X1,X0)) = op_k(X0,X1),
inference(backward_demodulation,[status(thm)],[f13806,f969]) ).
fof(f13889,plain,
! [X0,X1] : i(op_k(X0,X1)) = op_k(X1,X0),
inference(forward_demodulation,[status(thm)],[f13887,f13888]) ).
fof(f18313,plain,
! [X0,X1,X2,X3] : mult(mult(i(asoc(X0,X1,X2)),X3),asoc(X0,X1,X2)) = mult(op_t(X3,asoc(X0,X1,X2)),unit),
inference(paramodulation,[status(thm)],[f45,f491]) ).
fof(f18314,plain,
! [X0,X1,X2,X3] : X0 = mult(op_t(X0,asoc(X1,X2,X3)),unit),
inference(forward_demodulation,[status(thm)],[f9303,f18313]) ).
fof(f18315,plain,
! [X0,X1,X2,X3] : X0 = op_t(X0,asoc(X1,X2,X3)),
inference(forward_demodulation,[status(thm)],[f25,f18314]) ).
fof(f18819,plain,
! [X0,X1,X2,X3] : op_t(X0,i(asoc(X1,X2,X3))) = i(i(X0)),
inference(paramodulation,[status(thm)],[f18315,f1238]) ).
fof(f18820,plain,
! [X0,X1,X2,X3] : op_t(X0,i(asoc(X1,X2,X3))) = X0,
inference(forward_demodulation,[status(thm)],[f73,f18819]) ).
fof(f19067,plain,
! [X0,X1,X2] : op_t(X0,i(op_k(X1,rd(X2,X1)))) = X0,
inference(paramodulation,[status(thm)],[f13646,f18820]) ).
fof(f19068,plain,
! [X0,X1,X2] : op_t(X0,op_k(rd(X1,X2),X2)) = X0,
inference(forward_demodulation,[status(thm)],[f13889,f19067]) ).
fof(f19371,plain,
! [X0,X1,X2] : op_t(X0,op_k(X1,X2)) = X0,
inference(paramodulation,[status(thm)],[f30,f19068]) ).
fof(f19582,plain,
! [X0,X1,X2] : rd(X0,mult(X0,op_k(X1,X2))) = i(op_k(X1,X2)),
inference(paramodulation,[status(thm)],[f19371,f498]) ).
fof(f19583,plain,
! [X0,X1,X2] : rd(X0,mult(X0,op_k(X1,X2))) = op_k(X2,X1),
inference(forward_demodulation,[status(thm)],[f13889,f19582]) ).
fof(f19587,plain,
! [X0,X1,X2] : mult(op_k(X0,X1),X2) = mult(X2,op_k(X0,X1)),
inference(paramodulation,[status(thm)],[f19371,f488]) ).
fof(f21632,plain,
! [X0,X1] : rd(mult(X0,X1),mult(X1,X0)) = op_k(X0,X1),
inference(paramodulation,[status(thm)],[f34,f19583]) ).
fof(f23565,plain,
! [X0,X1,X2] : rd(mult(X0,op_k(X1,X2)),mult(X0,op_k(X1,X2))) = op_k(op_k(X1,X2),X0),
inference(paramodulation,[status(thm)],[f19587,f21632]) ).
fof(f23566,plain,
! [X0,X1,X2] : unit = op_k(op_k(X0,X1),X2),
inference(forward_demodulation,[status(thm)],[f71,f23565]) ).
fof(f23896,plain,
unit != unit,
inference(backward_demodulation,[status(thm)],[f23566,f46]) ).
fof(f23897,plain,
$false,
inference(trivial_equality_resolution,[status(esa)],[f23896]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.05/0.10 % Problem : GRP728-1 : TPTP v8.1.2. Released v4.0.0.
% 0.05/0.10 % Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.10/0.31 % Computer : n006.cluster.edu
% 0.10/0.31 % Model : x86_64 x86_64
% 0.10/0.31 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.31 % Memory : 8042.1875MB
% 0.10/0.31 % OS : Linux 3.10.0-693.el7.x86_64
% 0.10/0.31 % CPULimit : 300
% 0.10/0.31 % WCLimit : 300
% 0.10/0.31 % DateTime : Tue May 30 11:28:17 EDT 2023
% 0.10/0.31 % CPUTime :
% 0.15/0.31 % Drodi V3.5.1
% 53.91/7.22 % Refutation found
% 53.91/7.22 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 53.91/7.22 % SZS output start CNFRefutation for theBenchmark
% See solution above
% 55.98/7.45 % Elapsed time: 7.121486 seconds
% 55.98/7.45 % CPU time: 55.514735 seconds
% 55.98/7.45 % Memory used: 700.094 MB
%------------------------------------------------------------------------------