TSTP Solution File: GRP696-1 by Drodi---3.6.0
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Drodi---3.6.0
% Problem : GRP696-1 : TPTP v8.1.2. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% Computer : n002.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 20:21:25 EDT 2024
% Result : Unsatisfiable 79.61s 10.38s
% Output : CNFRefutation 81.21s
% Verified :
% SZS Type : Refutation
% Derivation depth : 40
% Number of leaves : 12
% Syntax : Number of formulae : 126 ( 126 unt; 0 def)
% Number of atoms : 126 ( 125 equ)
% Maximal formula atoms : 1 ( 1 avg)
% Number of connectives : 2 ( 2 ~; 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 : 8 ( 8 usr; 4 con; 0-2 aty)
% Number of variables : 245 ( 245 !; 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] : mult(A,unit) = A,
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f6,axiom,
! [A] : mult(unit,A) = A,
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f7,axiom,
! [A,B] : mult(A,i(mult(B,A))) = i(B),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f8,axiom,
! [A,B,C] : mult(A,mult(B,C)) = mult(rd(mult(A,B),A),mult(A,C)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f9,axiom,
! [A,B,C] : mult(mult(A,B),C) = mult(mult(A,C),ld(C,mult(B,C))),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f10,axiom,
! [A] : mult(i(A),A) = unit,
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f11,axiom,
! [A] : mult(A,i(A)) = unit,
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f12,negated_conjecture,
mult(mult(mult(a,b),a),mult(a,c)) != mult(a,mult(mult(mult(b,a),a),c)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f13,plain,
! [X0,X1] : mult(X0,ld(X0,X1)) = X1,
inference(cnf_transformation,[status(esa)],[f1]) ).
fof(f14,plain,
! [X0,X1] : ld(X0,mult(X0,X1)) = X1,
inference(cnf_transformation,[status(esa)],[f2]) ).
fof(f15,plain,
! [X0,X1] : mult(rd(X0,X1),X1) = X0,
inference(cnf_transformation,[status(esa)],[f3]) ).
fof(f16,plain,
! [X0,X1] : rd(mult(X0,X1),X1) = X0,
inference(cnf_transformation,[status(esa)],[f4]) ).
fof(f17,plain,
! [X0] : mult(X0,unit) = X0,
inference(cnf_transformation,[status(esa)],[f5]) ).
fof(f18,plain,
! [X0] : mult(unit,X0) = X0,
inference(cnf_transformation,[status(esa)],[f6]) ).
fof(f19,plain,
! [X0,X1] : mult(X0,i(mult(X1,X0))) = i(X1),
inference(cnf_transformation,[status(esa)],[f7]) ).
fof(f20,plain,
! [X0,X1,X2] : mult(X0,mult(X1,X2)) = mult(rd(mult(X0,X1),X0),mult(X0,X2)),
inference(cnf_transformation,[status(esa)],[f8]) ).
fof(f21,plain,
! [X0,X1,X2] : mult(mult(X0,X1),X2) = mult(mult(X0,X2),ld(X2,mult(X1,X2))),
inference(cnf_transformation,[status(esa)],[f9]) ).
fof(f22,plain,
! [X0] : mult(i(X0),X0) = unit,
inference(cnf_transformation,[status(esa)],[f10]) ).
fof(f23,plain,
! [X0] : mult(X0,i(X0)) = unit,
inference(cnf_transformation,[status(esa)],[f11]) ).
fof(f24,plain,
mult(mult(mult(a,b),a),mult(a,c)) != mult(a,mult(mult(mult(b,a),a),c)),
inference(cnf_transformation,[status(esa)],[f12]) ).
fof(f35,plain,
! [X0,X1] : ld(rd(X0,X1),X0) = X1,
inference(paramodulation,[status(thm)],[f15,f14]) ).
fof(f39,plain,
! [X0] : ld(i(X0),unit) = X0,
inference(paramodulation,[status(thm)],[f22,f14]) ).
fof(f46,plain,
! [X0] : ld(X0,unit) = i(X0),
inference(paramodulation,[status(thm)],[f23,f14]) ).
fof(f47,plain,
! [X0] : i(i(X0)) = X0,
inference(backward_demodulation,[status(thm)],[f46,f39]) ).
fof(f52,plain,
! [X0] : rd(unit,X0) = i(X0),
inference(paramodulation,[status(thm)],[f22,f16]) ).
fof(f56,plain,
! [X0,X1] : rd(X0,ld(X1,X0)) = X1,
inference(paramodulation,[status(thm)],[f13,f16]) ).
fof(f64,plain,
! [X0,X1] : mult(X0,i(X1)) = i(rd(X1,X0)),
inference(paramodulation,[status(thm)],[f15,f19]) ).
fof(f71,plain,
! [X0,X1] : mult(ld(X0,X1),i(X1)) = i(X0),
inference(paramodulation,[status(thm)],[f13,f19]) ).
fof(f75,plain,
! [X0,X1] : ld(X0,i(X1)) = i(mult(X1,X0)),
inference(paramodulation,[status(thm)],[f19,f14]) ).
fof(f82,plain,
! [X0,X1] : mult(i(X0),mult(X0,X1)) = mult(rd(unit,i(X0)),mult(i(X0),X1)),
inference(paramodulation,[status(thm)],[f22,f20]) ).
fof(f83,plain,
! [X0,X1] : mult(i(X0),mult(X0,X1)) = mult(i(i(X0)),mult(i(X0),X1)),
inference(forward_demodulation,[status(thm)],[f52,f82]) ).
fof(f84,plain,
! [X0,X1] : mult(i(X0),mult(X0,X1)) = mult(X0,mult(i(X0),X1)),
inference(forward_demodulation,[status(thm)],[f47,f83]) ).
fof(f92,plain,
! [X0,X1,X2] : mult(X0,mult(ld(X0,X1),X2)) = mult(rd(X1,X0),mult(X0,X2)),
inference(paramodulation,[status(thm)],[f13,f20]) ).
fof(f96,plain,
! [X0,X1] : mult(i(X0),mult(X1,X0)) = mult(rd(mult(i(X0),X1),i(X0)),unit),
inference(paramodulation,[status(thm)],[f22,f20]) ).
fof(f97,plain,
! [X0,X1] : mult(i(X0),mult(X1,X0)) = rd(mult(i(X0),X1),i(X0)),
inference(forward_demodulation,[status(thm)],[f17,f96]) ).
fof(f103,plain,
! [X0,X1] : mult(X0,mult(X1,i(X0))) = mult(rd(mult(X0,X1),X0),unit),
inference(paramodulation,[status(thm)],[f23,f20]) ).
fof(f104,plain,
! [X0,X1] : mult(X0,mult(X1,i(X0))) = rd(mult(X0,X1),X0),
inference(forward_demodulation,[status(thm)],[f17,f103]) ).
fof(f135,plain,
! [X0,X1] : rd(i(X0),i(X1)) = ld(X0,X1),
inference(paramodulation,[status(thm)],[f71,f16]) ).
fof(f138,plain,
! [X0,X1] : rd(X0,i(X1)) = ld(i(X0),X1),
inference(paramodulation,[status(thm)],[f47,f135]) ).
fof(f142,plain,
! [X0,X1] : rd(i(X0),X1) = ld(X0,i(X1)),
inference(paramodulation,[status(thm)],[f47,f135]) ).
fof(f148,plain,
! [X0,X1] : mult(i(X0),mult(X1,X0)) = ld(i(mult(i(X0),X1)),X0),
inference(backward_demodulation,[status(thm)],[f138,f97]) ).
fof(f149,plain,
! [X0,X1] : mult(i(X0),mult(X1,X0)) = ld(ld(X1,i(i(X0))),X0),
inference(forward_demodulation,[status(thm)],[f75,f148]) ).
fof(f150,plain,
! [X0,X1] : mult(i(X0),mult(X1,X0)) = ld(ld(X1,X0),X0),
inference(forward_demodulation,[status(thm)],[f47,f149]) ).
fof(f156,plain,
! [X0,X1] : rd(X0,X1) = ld(i(X0),i(X1)),
inference(paramodulation,[status(thm)],[f47,f142]) ).
fof(f180,plain,
! [X0,X1] : mult(i(X0),rd(X0,X1)) = i(X1),
inference(paramodulation,[status(thm)],[f156,f13]) ).
fof(f222,plain,
! [X0,X1] : mult(i(X0),X1) = i(ld(X1,X0)),
inference(paramodulation,[status(thm)],[f56,f180]) ).
fof(f247,plain,
! [X0,X1] : mult(X0,i(X1)) = rd(mult(X0,ld(X1,X0)),X0),
inference(paramodulation,[status(thm)],[f71,f104]) ).
fof(f311,plain,
! [X0,X1] : mult(mult(X0,i(X1)),X0) = mult(X0,ld(X1,X0)),
inference(paramodulation,[status(thm)],[f247,f15]) ).
fof(f332,plain,
! [X0,X1] : mult(mult(X0,X1),X0) = mult(X0,ld(i(X1),X0)),
inference(paramodulation,[status(thm)],[f47,f311]) ).
fof(f335,plain,
! [X0,X1] : mult(X0,mult(i(X0),ld(X1,i(X0)))) = rd(mult(X0,mult(i(X0),i(X1))),X0),
inference(paramodulation,[status(thm)],[f311,f104]) ).
fof(f394,plain,
! [X0,X1] : ld(i(X0),ld(ld(X1,X0),X0)) = mult(X1,X0),
inference(paramodulation,[status(thm)],[f150,f14]) ).
fof(f470,plain,
! [X0,X1] : mult(mult(i(X0),X1),X0) = mult(unit,ld(X0,mult(X1,X0))),
inference(paramodulation,[status(thm)],[f22,f21]) ).
fof(f471,plain,
! [X0,X1] : mult(mult(i(X0),X1),X0) = ld(X0,mult(X1,X0)),
inference(forward_demodulation,[status(thm)],[f18,f470]) ).
fof(f543,plain,
! [X0,X1] : ld(i(X0),ld(X1,X0)) = mult(rd(X0,X1),X0),
inference(paramodulation,[status(thm)],[f35,f394]) ).
fof(f681,plain,
! [X0,X1] : ld(i(X0),X1) = mult(rd(X0,rd(X0,X1)),X0),
inference(paramodulation,[status(thm)],[f35,f543]) ).
fof(f796,plain,
! [X0,X1,X2] : rd(X0,rd(X1,X2)) = ld(i(X0),mult(X2,i(X1))),
inference(paramodulation,[status(thm)],[f64,f156]) ).
fof(f797,plain,
! [X0,X1,X2] : rd(rd(X0,X1),X2) = ld(mult(X1,i(X0)),i(X2)),
inference(paramodulation,[status(thm)],[f64,f156]) ).
fof(f897,plain,
! [X0,X1] : ld(i(X0),i(X1)) = mult(rd(X0,ld(i(X0),X1)),X0),
inference(paramodulation,[status(thm)],[f138,f681]) ).
fof(f898,plain,
! [X0,X1] : rd(X0,X1) = mult(rd(X0,ld(i(X0),X1)),X0),
inference(forward_demodulation,[status(thm)],[f156,f897]) ).
fof(f935,plain,
! [X0,X1] : rd(ld(i(X0),X1),X0) = rd(X0,rd(X0,X1)),
inference(paramodulation,[status(thm)],[f681,f16]) ).
fof(f950,plain,
! [X0,X1] : mult(i(X0),X1) = ld(X1,mult(rd(X1,X0),X1)),
inference(paramodulation,[status(thm)],[f180,f471]) ).
fof(f961,plain,
! [X0,X1] : mult(X0,X1) = ld(X1,mult(ld(i(X1),X0),X1)),
inference(paramodulation,[status(thm)],[f13,f471]) ).
fof(f1036,plain,
! [X0,X1] : rd(X0,mult(i(X0),X1)) = mult(rd(X0,X1),X0),
inference(paramodulation,[status(thm)],[f14,f898]) ).
fof(f1095,plain,
! [X0,X1] : mult(i(rd(X0,X1)),X0) = ld(X0,ld(i(X0),X1)),
inference(paramodulation,[status(thm)],[f681,f950]) ).
fof(f1096,plain,
! [X0,X1] : mult(mult(X0,i(X1)),X1) = ld(X1,ld(i(X1),X0)),
inference(forward_demodulation,[status(thm)],[f64,f1095]) ).
fof(f1178,plain,
! [X0,X1] : mult(X0,i(X1)) = ld(i(X1),mult(ld(X1,X0),i(X1))),
inference(paramodulation,[status(thm)],[f47,f961]) ).
fof(f1179,plain,
! [X0,X1] : mult(X0,i(X1)) = rd(X1,rd(X1,ld(X1,X0))),
inference(forward_demodulation,[status(thm)],[f796,f1178]) ).
fof(f1497,plain,
! [X0,X1] : rd(X0,ld(ld(X1,X0),X0)) = mult(rd(X0,mult(X1,X0)),X0),
inference(paramodulation,[status(thm)],[f150,f1036]) ).
fof(f1498,plain,
! [X0,X1] : ld(X0,X1) = mult(rd(X1,mult(X0,X1)),X1),
inference(forward_demodulation,[status(thm)],[f56,f1497]) ).
fof(f1591,plain,
! [X0,X1] : ld(mult(X0,X1),i(i(X1))) = i(ld(ld(X0,X1),X1)),
inference(paramodulation,[status(thm)],[f150,f75]) ).
fof(f1592,plain,
! [X0,X1] : ld(mult(X0,X1),X1) = i(ld(ld(X0,X1),X1)),
inference(forward_demodulation,[status(thm)],[f47,f1591]) ).
fof(f1593,plain,
! [X0,X1] : ld(mult(X0,X1),X1) = mult(i(X1),ld(X0,X1)),
inference(forward_demodulation,[status(thm)],[f222,f1592]) ).
fof(f1636,plain,
! [X0,X1,X2] : rd(X0,ld(X1,i(X2))) = ld(i(X0),mult(X2,X1)),
inference(paramodulation,[status(thm)],[f75,f138]) ).
fof(f1637,plain,
! [X0,X1,X2] : rd(X0,mult(X1,X2)) = ld(i(X0),ld(X2,i(X1))),
inference(paramodulation,[status(thm)],[f75,f156]) ).
fof(f1773,plain,
! [X0,X1] : ld(rd(X0,X1),X1) = mult(rd(X1,X0),X1),
inference(paramodulation,[status(thm)],[f15,f1498]) ).
fof(f1825,plain,
! [X0,X1] : rd(ld(X0,X1),X1) = rd(X1,mult(X0,X1)),
inference(paramodulation,[status(thm)],[f1498,f16]) ).
fof(f1834,plain,
! [X0,X1] : mult(i(X0),X1) = ld(X1,ld(rd(X0,X1),X1)),
inference(backward_demodulation,[status(thm)],[f1773,f950]) ).
fof(f2013,plain,
! [X0,X1] : ld(mult(X0,i(X1)),X1) = rd(X1,ld(X1,X0)),
inference(paramodulation,[status(thm)],[f1179,f35]) ).
fof(f2049,plain,
! [X0,X1] : mult(i(X0),i(X1)) = ld(i(X1),ld(ld(i(X0),X1),i(X1))),
inference(paramodulation,[status(thm)],[f138,f1834]) ).
fof(f2050,plain,
! [X0,X1] : mult(i(X0),i(X1)) = rd(X1,mult(X1,ld(i(X0),X1))),
inference(forward_demodulation,[status(thm)],[f1637,f2049]) ).
fof(f2051,plain,
! [X0,X1] : mult(i(X0),i(X1)) = rd(X1,mult(mult(X1,X0),X1)),
inference(forward_demodulation,[status(thm)],[f332,f2050]) ).
fof(f2098,plain,
! [X0,X1] : ld(mult(i(X0),i(X1)),i(X1)) = mult(i(i(X1)),rd(X0,X1)),
inference(paramodulation,[status(thm)],[f156,f1593]) ).
fof(f2099,plain,
! [X0,X1] : rd(rd(X0,i(X1)),X0) = mult(i(i(X0)),rd(X1,X0)),
inference(forward_demodulation,[status(thm)],[f797,f2098]) ).
fof(f2100,plain,
! [X0,X1] : rd(ld(i(X0),X1),X0) = mult(i(i(X0)),rd(X1,X0)),
inference(forward_demodulation,[status(thm)],[f138,f2099]) ).
fof(f2101,plain,
! [X0,X1] : rd(X0,rd(X0,X1)) = mult(i(i(X0)),rd(X1,X0)),
inference(forward_demodulation,[status(thm)],[f935,f2100]) ).
fof(f2102,plain,
! [X0,X1] : rd(X0,rd(X0,X1)) = mult(X0,rd(X1,X0)),
inference(forward_demodulation,[status(thm)],[f47,f2101]) ).
fof(f2156,plain,
! [X0,X1] : mult(X0,i(X1)) = mult(X1,rd(ld(X1,X0),X1)),
inference(backward_demodulation,[status(thm)],[f2102,f1179]) ).
fof(f2196,plain,
! [X0,X1] : ld(X0,i(rd(i(X0),X1))) = mult(i(X0),rd(X1,i(X0))),
inference(paramodulation,[status(thm)],[f142,f2102]) ).
fof(f2197,plain,
! [X0,X1] : ld(X0,mult(X1,i(i(X0)))) = mult(i(X0),rd(X1,i(X0))),
inference(forward_demodulation,[status(thm)],[f64,f2196]) ).
fof(f2198,plain,
! [X0,X1] : ld(X0,mult(X1,X0)) = mult(i(X0),rd(X1,i(X0))),
inference(forward_demodulation,[status(thm)],[f47,f2197]) ).
fof(f2199,plain,
! [X0,X1] : ld(X0,mult(X1,X0)) = mult(i(X0),ld(i(X1),X0)),
inference(forward_demodulation,[status(thm)],[f138,f2198]) ).
fof(f2200,plain,
! [X0,X1] : ld(X0,mult(X1,X0)) = ld(mult(i(X1),X0),X0),
inference(forward_demodulation,[status(thm)],[f1593,f2199]) ).
fof(f2225,plain,
! [X0,X1] : rd(X0,X1) = mult(X0,rd(ld(X1,X0),X0)),
inference(paramodulation,[status(thm)],[f56,f2102]) ).
fof(f2253,plain,
! [X0,X1] : mult(mult(X0,rd(X1,X0)),rd(X0,X1)) = X0,
inference(paramodulation,[status(thm)],[f2102,f15]) ).
fof(f2325,plain,
! [X0,X1] : ld(X0,rd(X0,X1)) = rd(ld(X1,X0),X0),
inference(paramodulation,[status(thm)],[f2225,f14]) ).
fof(f2341,plain,
! [X0,X1] : ld(X0,rd(X0,X1)) = rd(X0,mult(X1,X0)),
inference(backward_demodulation,[status(thm)],[f2325,f1825]) ).
fof(f2344,plain,
! [X0,X1] : mult(i(X0),i(X1)) = ld(X1,rd(X1,mult(X1,X0))),
inference(backward_demodulation,[status(thm)],[f2341,f2051]) ).
fof(f2493,plain,
! [X0,X1] : mult(mult(X0,X1),rd(X0,mult(X1,X0))) = X0,
inference(paramodulation,[status(thm)],[f16,f2253]) ).
fof(f2494,plain,
! [X0,X1] : mult(mult(X0,X1),ld(X0,rd(X0,X1))) = X0,
inference(forward_demodulation,[status(thm)],[f2341,f2493]) ).
fof(f2666,plain,
! [X0,X1] : rd(X0,ld(X0,rd(X0,X1))) = mult(X0,X1),
inference(paramodulation,[status(thm)],[f2494,f16]) ).
fof(f2733,plain,
! [X0,X1] : ld(rd(ld(X0,rd(X0,X1)),X0),X0) = mult(mult(X0,X1),X0),
inference(paramodulation,[status(thm)],[f2666,f1773]) ).
fof(f2738,plain,
! [X0,X1] : mult(i(X0),mult(X0,X1)) = i(ld(X0,rd(X0,X1))),
inference(paramodulation,[status(thm)],[f2666,f180]) ).
fof(f2739,plain,
! [X0,X1] : mult(i(X0),mult(X0,X1)) = mult(i(rd(X0,X1)),X0),
inference(forward_demodulation,[status(thm)],[f222,f2738]) ).
fof(f2740,plain,
! [X0,X1] : mult(i(X0),mult(X0,X1)) = mult(mult(X1,i(X0)),X0),
inference(forward_demodulation,[status(thm)],[f64,f2739]) ).
fof(f2741,plain,
! [X0,X1] : mult(i(X0),mult(X0,X1)) = ld(X0,ld(i(X0),X1)),
inference(forward_demodulation,[status(thm)],[f1096,f2740]) ).
fof(f2770,plain,
! [X0,X1] : ld(X0,ld(i(X0),X1)) = mult(X0,mult(i(X0),X1)),
inference(backward_demodulation,[status(thm)],[f2741,f84]) ).
fof(f2771,plain,
! [X0,X1] : mult(X0,mult(i(X0),ld(X1,i(X0)))) = rd(ld(X0,ld(i(X0),i(X1))),X0),
inference(backward_demodulation,[status(thm)],[f2770,f335]) ).
fof(f2772,plain,
! [X0,X1] : ld(X0,ld(i(X0),ld(X1,i(X0)))) = rd(ld(X0,ld(i(X0),i(X1))),X0),
inference(forward_demodulation,[status(thm)],[f2770,f2771]) ).
fof(f2773,plain,
! [X0,X1] : ld(X0,rd(X0,mult(X0,X1))) = rd(ld(X0,ld(i(X0),i(X1))),X0),
inference(forward_demodulation,[status(thm)],[f1637,f2772]) ).
fof(f2774,plain,
! [X0,X1] : mult(i(X0),i(X1)) = rd(ld(X1,ld(i(X1),i(X0))),X1),
inference(forward_demodulation,[status(thm)],[f2344,f2773]) ).
fof(f2775,plain,
! [X0,X1] : mult(i(X0),i(X1)) = rd(ld(X1,rd(X1,X0)),X1),
inference(forward_demodulation,[status(thm)],[f156,f2774]) ).
fof(f2780,plain,
! [X0,X1] : ld(mult(i(X0),i(X1)),X1) = mult(mult(X1,X0),X1),
inference(backward_demodulation,[status(thm)],[f2775,f2733]) ).
fof(f2781,plain,
! [X0,X1] : rd(X0,ld(X0,i(X1))) = mult(mult(X0,X1),X0),
inference(forward_demodulation,[status(thm)],[f2013,f2780]) ).
fof(f2782,plain,
! [X0,X1] : ld(i(X0),mult(X1,X0)) = mult(mult(X0,X1),X0),
inference(forward_demodulation,[status(thm)],[f1636,f2781]) ).
fof(f3665,plain,
! [X0,X1,X2] : mult(X0,mult(ld(X0,mult(X1,X0)),X2)) = mult(X1,mult(X0,X2)),
inference(paramodulation,[status(thm)],[f16,f92]) ).
fof(f7355,plain,
! [X0,X1] : mult(mult(X0,X1),i(i(X1))) = mult(i(X1),rd(mult(mult(X1,X0),X1),i(X1))),
inference(paramodulation,[status(thm)],[f2782,f2156]) ).
fof(f7356,plain,
! [X0,X1] : mult(mult(X0,X1),X1) = mult(i(X1),rd(mult(mult(X1,X0),X1),i(X1))),
inference(forward_demodulation,[status(thm)],[f47,f7355]) ).
fof(f7357,plain,
! [X0,X1] : mult(mult(X0,X1),X1) = mult(i(X1),ld(i(mult(mult(X1,X0),X1)),X1)),
inference(forward_demodulation,[status(thm)],[f138,f7356]) ).
fof(f7358,plain,
! [X0,X1] : mult(mult(X0,X1),X1) = ld(mult(i(mult(mult(X1,X0),X1)),X1),X1),
inference(forward_demodulation,[status(thm)],[f1593,f7357]) ).
fof(f7359,plain,
! [X0,X1] : mult(mult(X0,X1),X1) = ld(X1,mult(mult(mult(X1,X0),X1),X1)),
inference(forward_demodulation,[status(thm)],[f2200,f7358]) ).
fof(f56642,plain,
! [X0,X1,X2] : mult(X0,mult(mult(mult(X1,X0),X0),X2)) = mult(mult(mult(X0,X1),X0),mult(X0,X2)),
inference(paramodulation,[status(thm)],[f7359,f3665]) ).
fof(f56643,plain,
$false,
inference(backward_subsumption_resolution,[status(thm)],[f24,f56642]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.12/0.12 % Problem : GRP696-1 : TPTP v8.1.2. Released v4.0.0.
% 0.12/0.13 % Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.14/0.34 % Computer : n002.cluster.edu
% 0.14/0.34 % Model : x86_64 x86_64
% 0.14/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.34 % Memory : 8042.1875MB
% 0.14/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.34 % CPULimit : 300
% 0.14/0.34 % WCLimit : 300
% 0.14/0.34 % DateTime : Tue Apr 30 00:39:54 EDT 2024
% 0.14/0.34 % CPUTime :
% 0.14/0.35 % Drodi V3.6.0
% 79.61/10.38 % Refutation found
% 79.61/10.38 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 79.61/10.38 % SZS output start CNFRefutation for theBenchmark
% See solution above
% 81.55/10.72 % Elapsed time: 10.354757 seconds
% 81.55/10.72 % CPU time: 81.034309 seconds
% 81.55/10.72 % Total memory used: 1.224 GB
% 81.55/10.72 % Net memory used: 1.193 GB
%------------------------------------------------------------------------------