TSTP Solution File: RNG004-10 by Drodi---3.5.1
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Drodi---3.5.1
% Problem : RNG004-10 : TPTP v8.1.2. Released v7.5.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% Computer : n019.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 12:32:33 EDT 2023
% Result : Unsatisfiable 72.72s 9.55s
% Output : CNFRefutation 75.03s
% Verified :
% SZS Type : Refutation
% Derivation depth : 45
% Number of leaves : 16
% Syntax : Number of formulae : 147 ( 147 unt; 0 def)
% Number of atoms : 147 ( 146 equ)
% Maximal formula atoms : 1 ( 1 avg)
% Number of connectives : 2 ( 2 ~; 0 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 8 ( 3 avg)
% Maximal term depth : 7 ( 2 avg)
% Number of predicates : 2 ( 0 usr; 1 prp; 0-2 aty)
% Number of functors : 13 ( 13 usr; 6 con; 0-4 aty)
% Number of variables : 251 (; 251 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
! [A,B,C] : ifeq2(A,A,B,C) = B,
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f2,axiom,
! [A,B,C] : ifeq(A,A,B,C) = B,
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f3,axiom,
! [X] : sum(additive_identity,X,X) = true,
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f4,axiom,
! [X] : sum(X,additive_identity,X) = true,
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f5,axiom,
! [X,Y] : product(X,Y,multiply(X,Y)) = true,
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f6,axiom,
! [X,Y] : sum(X,Y,add(X,Y)) = true,
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f7,axiom,
! [X] : sum(additive_inverse(X),X,additive_identity) = true,
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f8,axiom,
! [X] : sum(X,additive_inverse(X),additive_identity) = true,
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f9,axiom,
! [U,Z,W,Y,V,X] : ifeq(sum(U,Z,W),true,ifeq(sum(Y,Z,V),true,ifeq(sum(X,Y,U),true,sum(X,V,W),true),true),true) = true,
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f11,axiom,
! [X,Y,Z] : ifeq(sum(X,Y,Z),true,sum(Y,X,Z),true) = true,
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f14,axiom,
! [X,V3,V4,Z,V2,Y,V1] : ifeq(product(X,V3,V4),true,ifeq(product(X,Z,V2),true,ifeq(product(X,Y,V1),true,ifeq(sum(Y,Z,V3),true,sum(V1,V2,V4),true),true),true),true) = true,
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f16,axiom,
! [V3,X,V4,Z,V2,Y,V1] : ifeq(product(V3,X,V4),true,ifeq(product(Z,X,V2),true,ifeq(product(Y,X,V1),true,ifeq(sum(Y,Z,V3),true,sum(V1,V2,V4),true),true),true),true) = true,
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f18,axiom,
! [X,Y,V,U] : ifeq2(sum(X,Y,V),true,ifeq2(sum(X,Y,U),true,U,V),V) = V,
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f20,hypothesis,
product(a,b,c) = true,
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f21,hypothesis,
product(additive_inverse(a),additive_inverse(b),d) = true,
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f22,negated_conjecture,
c != d,
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f23,plain,
! [X0,X1,X2] : ifeq2(X0,X0,X1,X2) = X1,
inference(cnf_transformation,[status(esa)],[f1]) ).
fof(f24,plain,
! [X0,X1,X2] : ifeq(X0,X0,X1,X2) = X1,
inference(cnf_transformation,[status(esa)],[f2]) ).
fof(f25,plain,
! [X0] : sum(additive_identity,X0,X0) = true,
inference(cnf_transformation,[status(esa)],[f3]) ).
fof(f26,plain,
! [X0] : sum(X0,additive_identity,X0) = true,
inference(cnf_transformation,[status(esa)],[f4]) ).
fof(f27,plain,
! [X0,X1] : product(X0,X1,multiply(X0,X1)) = true,
inference(cnf_transformation,[status(esa)],[f5]) ).
fof(f28,plain,
! [X0,X1] : sum(X0,X1,add(X0,X1)) = true,
inference(cnf_transformation,[status(esa)],[f6]) ).
fof(f29,plain,
! [X0] : sum(additive_inverse(X0),X0,additive_identity) = true,
inference(cnf_transformation,[status(esa)],[f7]) ).
fof(f30,plain,
! [X0] : sum(X0,additive_inverse(X0),additive_identity) = true,
inference(cnf_transformation,[status(esa)],[f8]) ).
fof(f31,plain,
! [X0,X1,X2,X3,X4,X5] : ifeq(sum(X0,X1,X2),true,ifeq(sum(X3,X1,X4),true,ifeq(sum(X5,X3,X0),true,sum(X5,X4,X2),true),true),true) = true,
inference(cnf_transformation,[status(esa)],[f9]) ).
fof(f33,plain,
! [X0,X1,X2] : ifeq(sum(X0,X1,X2),true,sum(X1,X0,X2),true) = true,
inference(cnf_transformation,[status(esa)],[f11]) ).
fof(f36,plain,
! [X0,X1,X2,X3,X4,X5,X6] : ifeq(product(X0,X1,X2),true,ifeq(product(X0,X3,X4),true,ifeq(product(X0,X5,X6),true,ifeq(sum(X5,X3,X1),true,sum(X6,X4,X2),true),true),true),true) = true,
inference(cnf_transformation,[status(esa)],[f14]) ).
fof(f38,plain,
! [X0,X1,X2,X3,X4,X5,X6] : ifeq(product(X0,X1,X2),true,ifeq(product(X3,X1,X4),true,ifeq(product(X5,X1,X6),true,ifeq(sum(X5,X3,X0),true,sum(X6,X4,X2),true),true),true),true) = true,
inference(cnf_transformation,[status(esa)],[f16]) ).
fof(f40,plain,
! [X0,X1,X2,X3] : ifeq2(sum(X0,X1,X2),true,ifeq2(sum(X0,X1,X3),true,X3,X2),X2) = X2,
inference(cnf_transformation,[status(esa)],[f18]) ).
fof(f42,plain,
product(a,b,c) = true,
inference(cnf_transformation,[status(esa)],[f20]) ).
fof(f43,plain,
product(additive_inverse(a),additive_inverse(b),d) = true,
inference(cnf_transformation,[status(esa)],[f21]) ).
fof(f44,plain,
c != d,
inference(cnf_transformation,[status(esa)],[f22]) ).
fof(f53,plain,
! [X0,X1] : ifeq(true,true,sum(X0,X1,add(X1,X0)),true) = true,
inference(paramodulation,[status(thm)],[f28,f33]) ).
fof(f54,plain,
! [X0,X1] : sum(X0,X1,add(X1,X0)) = true,
inference(forward_demodulation,[status(thm)],[f24,f53]) ).
fof(f71,plain,
! [X0,X1] : ifeq2(true,true,ifeq2(sum(additive_identity,X0,X1),true,X1,X0),X0) = X0,
inference(paramodulation,[status(thm)],[f25,f40]) ).
fof(f72,plain,
! [X0,X1] : ifeq2(sum(additive_identity,X0,X1),true,X1,X0) = X0,
inference(forward_demodulation,[status(thm)],[f23,f71]) ).
fof(f79,plain,
! [X0,X1,X2] : ifeq2(true,true,ifeq2(sum(X0,X1,X2),true,X2,add(X0,X1)),add(X0,X1)) = add(X0,X1),
inference(paramodulation,[status(thm)],[f28,f40]) ).
fof(f80,plain,
! [X0,X1,X2] : ifeq2(sum(X0,X1,X2),true,X2,add(X0,X1)) = add(X0,X1),
inference(forward_demodulation,[status(thm)],[f23,f79]) ).
fof(f81,plain,
! [X0,X1] : ifeq2(sum(additive_inverse(X0),X0,X1),true,ifeq2(true,true,additive_identity,X1),X1) = X1,
inference(paramodulation,[status(thm)],[f29,f40]) ).
fof(f82,plain,
! [X0,X1] : ifeq2(sum(additive_inverse(X0),X0,X1),true,additive_identity,X1) = X1,
inference(forward_demodulation,[status(thm)],[f23,f81]) ).
fof(f87,plain,
! [X0,X1] : ifeq2(sum(X0,additive_identity,X1),true,ifeq2(true,true,X0,X1),X1) = X1,
inference(paramodulation,[status(thm)],[f26,f40]) ).
fof(f88,plain,
! [X0,X1] : ifeq2(sum(X0,additive_identity,X1),true,X0,X1) = X1,
inference(forward_demodulation,[status(thm)],[f23,f87]) ).
fof(f89,plain,
! [X0,X1,X2] : ifeq2(sum(X0,X1,X2),true,ifeq2(true,true,add(X1,X0),X2),X2) = X2,
inference(paramodulation,[status(thm)],[f54,f40]) ).
fof(f90,plain,
! [X0,X1,X2] : ifeq2(sum(X0,X1,X2),true,add(X1,X0),X2) = X2,
inference(forward_demodulation,[status(thm)],[f23,f89]) ).
fof(f94,plain,
ifeq2(true,true,additive_identity,additive_inverse(additive_identity)) = additive_inverse(additive_identity),
inference(paramodulation,[status(thm)],[f30,f72]) ).
fof(f95,plain,
additive_identity = additive_inverse(additive_identity),
inference(forward_demodulation,[status(thm)],[f23,f94]) ).
fof(f99,plain,
! [X0] : ifeq2(true,true,add(additive_identity,X0),X0) = X0,
inference(paramodulation,[status(thm)],[f28,f72]) ).
fof(f100,plain,
! [X0] : add(additive_identity,X0) = X0,
inference(forward_demodulation,[status(thm)],[f23,f99]) ).
fof(f104,plain,
! [X0,X1,X2,X3] : ifeq(true,true,ifeq(sum(X0,X1,X2),true,ifeq(sum(X3,X0,additive_identity),true,sum(X3,X2,X1),true),true),true) = true,
inference(paramodulation,[status(thm)],[f25,f31]) ).
fof(f105,plain,
! [X0,X1,X2,X3] : ifeq(sum(X0,X1,X2),true,ifeq(sum(X3,X0,additive_identity),true,sum(X3,X2,X1),true),true) = true,
inference(forward_demodulation,[status(thm)],[f24,f104]) ).
fof(f224,plain,
! [X0] : ifeq2(true,true,additive_identity,add(X0,additive_inverse(X0))) = add(X0,additive_inverse(X0)),
inference(paramodulation,[status(thm)],[f54,f82]) ).
fof(f225,plain,
! [X0] : additive_identity = add(X0,additive_inverse(X0)),
inference(forward_demodulation,[status(thm)],[f23,f224]) ).
fof(f226,plain,
! [X0] : ifeq2(true,true,additive_identity,add(additive_inverse(X0),X0)) = add(additive_inverse(X0),X0),
inference(paramodulation,[status(thm)],[f28,f82]) ).
fof(f227,plain,
! [X0] : additive_identity = add(additive_inverse(X0),X0),
inference(forward_demodulation,[status(thm)],[f23,f226]) ).
fof(f258,plain,
! [X0,X1] : ifeq2(true,true,add(X0,X1),add(X1,X0)) = add(X1,X0),
inference(paramodulation,[status(thm)],[f28,f90]) ).
fof(f259,plain,
! [X0,X1] : add(X0,X1) = add(X1,X0),
inference(forward_demodulation,[status(thm)],[f23,f258]) ).
fof(f343,plain,
! [X0,X1,X2,X3] : ifeq(true,true,ifeq(product(additive_inverse(a),X0,X1),true,ifeq(product(additive_inverse(a),X2,X3),true,ifeq(sum(X2,X0,additive_inverse(b)),true,sum(X3,X1,d),true),true),true),true) = true,
inference(paramodulation,[status(thm)],[f43,f36]) ).
fof(f344,plain,
! [X0,X1,X2,X3] : ifeq(product(additive_inverse(a),X0,X1),true,ifeq(product(additive_inverse(a),X2,X3),true,ifeq(sum(X2,X0,additive_inverse(b)),true,sum(X3,X1,d),true),true),true) = true,
inference(forward_demodulation,[status(thm)],[f24,f343]) ).
fof(f349,plain,
! [X0,X1,X2,X3] : ifeq(product(additive_inverse(a),X0,X1),true,ifeq(true,true,ifeq(product(additive_inverse(a),X2,X3),true,ifeq(sum(X2,additive_inverse(b),X0),true,sum(X3,d,X1),true),true),true),true) = true,
inference(paramodulation,[status(thm)],[f43,f36]) ).
fof(f350,plain,
! [X0,X1,X2,X3] : ifeq(product(additive_inverse(a),X0,X1),true,ifeq(product(additive_inverse(a),X2,X3),true,ifeq(sum(X2,additive_inverse(b),X0),true,sum(X3,d,X1),true),true),true) = true,
inference(forward_demodulation,[status(thm)],[f24,f349]) ).
fof(f701,plain,
! [X0,X1,X2,X3] : ifeq(true,true,ifeq(product(X0,b,X1),true,ifeq(product(X2,b,X3),true,ifeq(sum(X2,X0,a),true,sum(X3,X1,c),true),true),true),true) = true,
inference(paramodulation,[status(thm)],[f42,f38]) ).
fof(f702,plain,
! [X0,X1,X2,X3] : ifeq(product(X0,b,X1),true,ifeq(product(X2,b,X3),true,ifeq(sum(X2,X0,a),true,sum(X3,X1,c),true),true),true) = true,
inference(forward_demodulation,[status(thm)],[f24,f701]) ).
fof(f709,plain,
! [X0,X1,X2,X3] : ifeq(product(X0,b,X1),true,ifeq(true,true,ifeq(product(X2,b,X3),true,ifeq(sum(X2,a,X0),true,sum(X3,c,X1),true),true),true),true) = true,
inference(paramodulation,[status(thm)],[f42,f38]) ).
fof(f710,plain,
! [X0,X1,X2,X3] : ifeq(product(X0,b,X1),true,ifeq(product(X2,b,X3),true,ifeq(sum(X2,a,X0),true,sum(X3,c,X1),true),true),true) = true,
inference(forward_demodulation,[status(thm)],[f24,f709]) ).
fof(f1033,plain,
! [X0,X1,X2] : ifeq(sum(X0,X1,X2),true,ifeq(true,true,sum(additive_inverse(X0),X2,X1),true),true) = true,
inference(paramodulation,[status(thm)],[f29,f105]) ).
fof(f1034,plain,
! [X0,X1,X2] : ifeq(sum(X0,X1,X2),true,sum(additive_inverse(X0),X2,X1),true) = true,
inference(forward_demodulation,[status(thm)],[f24,f1033]) ).
fof(f1037,plain,
! [X0,X1,X2] : ifeq(sum(additive_inverse(X0),X1,X2),true,ifeq(true,true,sum(X0,X2,X1),true),true) = true,
inference(paramodulation,[status(thm)],[f30,f105]) ).
fof(f1038,plain,
! [X0,X1,X2] : ifeq(sum(additive_inverse(X0),X1,X2),true,sum(X0,X2,X1),true) = true,
inference(forward_demodulation,[status(thm)],[f24,f1037]) ).
fof(f1384,plain,
! [X0] : ifeq(true,true,sum(additive_inverse(additive_inverse(X0)),additive_identity,X0),true) = true,
inference(paramodulation,[status(thm)],[f29,f1034]) ).
fof(f1385,plain,
! [X0] : sum(additive_inverse(additive_inverse(X0)),additive_identity,X0) = true,
inference(forward_demodulation,[status(thm)],[f24,f1384]) ).
fof(f1393,plain,
! [X0,X1] : ifeq(true,true,sum(additive_inverse(X0),add(X1,X0),X1),true) = true,
inference(paramodulation,[status(thm)],[f54,f1034]) ).
fof(f1394,plain,
! [X0,X1] : sum(additive_inverse(X0),add(X1,X0),X1) = true,
inference(forward_demodulation,[status(thm)],[f24,f1393]) ).
fof(f1415,plain,
! [X0] : ifeq2(true,true,additive_inverse(additive_inverse(X0)),X0) = X0,
inference(paramodulation,[status(thm)],[f1385,f88]) ).
fof(f1416,plain,
! [X0] : additive_inverse(additive_inverse(X0)) = X0,
inference(forward_demodulation,[status(thm)],[f23,f1415]) ).
fof(f1797,plain,
! [X0,X1] : ifeq2(true,true,X0,add(additive_inverse(X1),add(X0,X1))) = add(additive_inverse(X1),add(X0,X1)),
inference(paramodulation,[status(thm)],[f1394,f80]) ).
fof(f1798,plain,
! [X0,X1] : X0 = add(additive_inverse(X1),add(X0,X1)),
inference(forward_demodulation,[status(thm)],[f23,f1797]) ).
fof(f1831,plain,
! [X0,X1] : X0 = add(X1,add(X0,additive_inverse(X1))),
inference(paramodulation,[status(thm)],[f1416,f1798]) ).
fof(f1834,plain,
! [X0,X1] : additive_inverse(X0) = add(additive_inverse(add(X1,X0)),X1),
inference(paramodulation,[status(thm)],[f1798,f1798]) ).
fof(f1835,plain,
! [X0,X1] : additive_inverse(X0) = add(X1,additive_inverse(add(X1,X0))),
inference(forward_demodulation,[status(thm)],[f259,f1834]) ).
fof(f1842,plain,
! [X0,X1] : X0 = add(additive_inverse(X1),add(X1,X0)),
inference(paramodulation,[status(thm)],[f259,f1798]) ).
fof(f1864,plain,
! [X0,X1] : X0 = add(X1,add(additive_inverse(X1),X0)),
inference(paramodulation,[status(thm)],[f259,f1831]) ).
fof(f1904,plain,
! [X0,X1] : additive_inverse(X0) = add(additive_inverse(add(X0,X1)),X1),
inference(paramodulation,[status(thm)],[f1842,f1798]) ).
fof(f1905,plain,
! [X0,X1] : additive_inverse(X0) = add(X1,additive_inverse(add(X0,X1))),
inference(forward_demodulation,[status(thm)],[f259,f1904]) ).
fof(f1953,plain,
! [X0,X1] : sum(add(additive_inverse(X0),X1),X0,X1) = true,
inference(paramodulation,[status(thm)],[f1864,f54]) ).
fof(f2160,plain,
! [X0,X1] : ifeq(true,true,ifeq(product(additive_inverse(a),X0,X1),true,ifeq(sum(X0,additive_inverse(b),additive_inverse(b)),true,sum(X1,d,d),true),true),true) = true,
inference(paramodulation,[status(thm)],[f43,f344]) ).
fof(f2161,plain,
! [X0,X1] : ifeq(product(additive_inverse(a),X0,X1),true,ifeq(sum(X0,additive_inverse(b),additive_inverse(b)),true,sum(X1,d,d),true),true) = true,
inference(forward_demodulation,[status(thm)],[f24,f2160]) ).
fof(f2542,plain,
! [X0,X1] : additive_inverse(add(X0,X1)) = add(additive_inverse(X0),additive_inverse(X1)),
inference(paramodulation,[status(thm)],[f1842,f1835]) ).
fof(f2547,plain,
! [X0,X1] : additive_inverse(add(additive_inverse(X0),X1)) = add(X0,additive_inverse(X1)),
inference(paramodulation,[status(thm)],[f1864,f1835]) ).
fof(f3196,plain,
! [X0,X1] : ifeq(product(additive_inverse(a),additive_identity,X0),true,ifeq(product(additive_inverse(a),additive_inverse(additive_inverse(b)),X1),true,ifeq(true,true,sum(X1,d,X0),true),true),true) = true,
inference(paramodulation,[status(thm)],[f29,f350]) ).
fof(f3197,plain,
! [X0,X1] : ifeq(product(additive_inverse(a),additive_identity,X0),true,ifeq(product(additive_inverse(a),b,X1),true,ifeq(true,true,sum(X1,d,X0),true),true),true) = true,
inference(forward_demodulation,[status(thm)],[f1416,f3196]) ).
fof(f3198,plain,
! [X0,X1] : ifeq(product(additive_inverse(a),additive_identity,X0),true,ifeq(product(additive_inverse(a),b,X1),true,sum(X1,d,X0),true),true) = true,
inference(forward_demodulation,[status(thm)],[f24,f3197]) ).
fof(f6081,plain,
! [X0,X1] : additive_inverse(add(X0,X1)) = add(additive_inverse(X1),additive_inverse(X0)),
inference(paramodulation,[status(thm)],[f259,f2542]) ).
fof(f6082,plain,
! [X0,X1] : additive_inverse(add(X0,X1)) = additive_inverse(add(X1,X0)),
inference(forward_demodulation,[status(thm)],[f2542,f6081]) ).
fof(f6215,plain,
! [X0,X1,X2] : X0 = add(add(X1,X2),add(additive_inverse(add(X2,X1)),X0)),
inference(paramodulation,[status(thm)],[f6082,f1864]) ).
fof(f6233,plain,
! [X0,X1] : additive_identity = add(additive_inverse(add(X0,X1)),add(X1,X0)),
inference(paramodulation,[status(thm)],[f6082,f227]) ).
fof(f6234,plain,
! [X0,X1] : additive_identity = add(add(X0,X1),additive_inverse(add(X1,X0))),
inference(forward_demodulation,[status(thm)],[f259,f6233]) ).
fof(f7425,plain,
! [X0,X1] : ifeq(true,true,ifeq(product(X0,b,X1),true,ifeq(sum(X0,a,a),true,sum(X1,c,c),true),true),true) = true,
inference(paramodulation,[status(thm)],[f42,f702]) ).
fof(f7426,plain,
! [X0,X1] : ifeq(product(X0,b,X1),true,ifeq(sum(X0,a,a),true,sum(X1,c,c),true),true) = true,
inference(forward_demodulation,[status(thm)],[f24,f7425]) ).
fof(f7579,plain,
! [X0,X1,X2] : ifeq(true,true,ifeq(product(X0,b,X1),true,ifeq(sum(X0,a,X2),true,sum(X1,c,multiply(X2,b)),true),true),true) = true,
inference(paramodulation,[status(thm)],[f27,f710]) ).
fof(f7580,plain,
! [X0,X1,X2] : ifeq(product(X0,b,X1),true,ifeq(sum(X0,a,X2),true,sum(X1,c,multiply(X2,b)),true),true) = true,
inference(forward_demodulation,[status(thm)],[f24,f7579]) ).
fof(f10316,plain,
! [X0,X1,X2] : add(X0,add(X1,X2)) = add(add(X2,X1),X0),
inference(paramodulation,[status(thm)],[f1798,f6215]) ).
fof(f17447,plain,
! [X0] : ifeq(product(additive_inverse(a),add(additive_inverse(additive_inverse(b)),additive_inverse(b)),X0),true,ifeq(true,true,sum(X0,d,d),true),true) = true,
inference(paramodulation,[status(thm)],[f1953,f2161]) ).
fof(f17448,plain,
! [X0] : ifeq(product(additive_inverse(a),additive_inverse(add(additive_inverse(b),b)),X0),true,ifeq(true,true,sum(X0,d,d),true),true) = true,
inference(forward_demodulation,[status(thm)],[f2542,f17447]) ).
fof(f17449,plain,
! [X0] : ifeq(product(additive_inverse(a),add(b,additive_inverse(b)),X0),true,ifeq(true,true,sum(X0,d,d),true),true) = true,
inference(forward_demodulation,[status(thm)],[f2547,f17448]) ).
fof(f17450,plain,
! [X0] : ifeq(product(additive_inverse(a),additive_identity,X0),true,ifeq(true,true,sum(X0,d,d),true),true) = true,
inference(forward_demodulation,[status(thm)],[f225,f17449]) ).
fof(f17451,plain,
! [X0] : ifeq(product(additive_inverse(a),additive_identity,X0),true,sum(X0,d,d),true) = true,
inference(forward_demodulation,[status(thm)],[f24,f17450]) ).
fof(f22762,plain,
ifeq(true,true,sum(multiply(additive_inverse(a),additive_identity),d,d),true) = true,
inference(paramodulation,[status(thm)],[f27,f17451]) ).
fof(f22763,plain,
sum(multiply(additive_inverse(a),additive_identity),d,d) = true,
inference(forward_demodulation,[status(thm)],[f24,f22762]) ).
fof(f23003,plain,
ifeq2(true,true,d,add(multiply(additive_inverse(a),additive_identity),d)) = add(multiply(additive_inverse(a),additive_identity),d),
inference(paramodulation,[status(thm)],[f22763,f80]) ).
fof(f23004,plain,
d = add(multiply(additive_inverse(a),additive_identity),d),
inference(forward_demodulation,[status(thm)],[f23,f23003]) ).
fof(f23005,plain,
d = add(d,multiply(additive_inverse(a),additive_identity)),
inference(forward_demodulation,[status(thm)],[f259,f23004]) ).
fof(f23133,plain,
additive_identity = add(add(multiply(additive_inverse(a),additive_identity),d),additive_inverse(d)),
inference(paramodulation,[status(thm)],[f23005,f6234]) ).
fof(f23134,plain,
additive_identity = add(additive_inverse(d),add(d,multiply(additive_inverse(a),additive_identity))),
inference(forward_demodulation,[status(thm)],[f10316,f23133]) ).
fof(f23135,plain,
additive_identity = multiply(additive_inverse(a),additive_identity),
inference(forward_demodulation,[status(thm)],[f1842,f23134]) ).
fof(f23202,plain,
product(additive_inverse(a),additive_identity,additive_identity) = true,
inference(paramodulation,[status(thm)],[f23135,f27]) ).
fof(f23209,plain,
! [X0] : ifeq(true,true,ifeq(product(additive_inverse(a),b,X0),true,sum(X0,d,additive_identity),true),true) = true,
inference(paramodulation,[status(thm)],[f23202,f3198]) ).
fof(f23210,plain,
! [X0] : ifeq(product(additive_inverse(a),b,X0),true,sum(X0,d,additive_identity),true) = true,
inference(forward_demodulation,[status(thm)],[f24,f23209]) ).
fof(f64444,plain,
ifeq(true,true,sum(multiply(additive_inverse(a),b),d,additive_identity),true) = true,
inference(paramodulation,[status(thm)],[f27,f23210]) ).
fof(f64445,plain,
sum(multiply(additive_inverse(a),b),d,additive_identity) = true,
inference(forward_demodulation,[status(thm)],[f24,f64444]) ).
fof(f64835,plain,
ifeq2(true,true,additive_identity,add(multiply(additive_inverse(a),b),d)) = add(multiply(additive_inverse(a),b),d),
inference(paramodulation,[status(thm)],[f64445,f80]) ).
fof(f64836,plain,
additive_identity = add(multiply(additive_inverse(a),b),d),
inference(forward_demodulation,[status(thm)],[f23,f64835]) ).
fof(f64837,plain,
additive_identity = add(d,multiply(additive_inverse(a),b)),
inference(forward_demodulation,[status(thm)],[f259,f64836]) ).
fof(f65198,plain,
additive_inverse(d) = add(multiply(additive_inverse(a),b),additive_inverse(additive_identity)),
inference(paramodulation,[status(thm)],[f64837,f1905]) ).
fof(f65199,plain,
additive_inverse(d) = add(additive_inverse(additive_identity),multiply(additive_inverse(a),b)),
inference(forward_demodulation,[status(thm)],[f259,f65198]) ).
fof(f65200,plain,
additive_inverse(d) = add(additive_identity,multiply(additive_inverse(a),b)),
inference(forward_demodulation,[status(thm)],[f95,f65199]) ).
fof(f65201,plain,
additive_inverse(d) = multiply(additive_inverse(a),b),
inference(forward_demodulation,[status(thm)],[f100,f65200]) ).
fof(f65281,plain,
product(additive_inverse(a),b,additive_inverse(d)) = true,
inference(paramodulation,[status(thm)],[f65201,f27]) ).
fof(f98534,plain,
! [X0] : ifeq(product(add(additive_inverse(a),a),b,X0),true,ifeq(true,true,sum(X0,c,c),true),true) = true,
inference(paramodulation,[status(thm)],[f1953,f7426]) ).
fof(f98535,plain,
! [X0] : ifeq(product(additive_identity,b,X0),true,ifeq(true,true,sum(X0,c,c),true),true) = true,
inference(forward_demodulation,[status(thm)],[f227,f98534]) ).
fof(f98536,plain,
! [X0] : ifeq(product(additive_identity,b,X0),true,sum(X0,c,c),true) = true,
inference(forward_demodulation,[status(thm)],[f24,f98535]) ).
fof(f98555,plain,
ifeq(true,true,sum(multiply(additive_identity,b),c,c),true) = true,
inference(paramodulation,[status(thm)],[f27,f98536]) ).
fof(f98556,plain,
sum(multiply(additive_identity,b),c,c) = true,
inference(forward_demodulation,[status(thm)],[f24,f98555]) ).
fof(f98942,plain,
ifeq2(true,true,c,add(multiply(additive_identity,b),c)) = add(multiply(additive_identity,b),c),
inference(paramodulation,[status(thm)],[f98556,f80]) ).
fof(f98943,plain,
c = add(multiply(additive_identity,b),c),
inference(forward_demodulation,[status(thm)],[f23,f98942]) ).
fof(f98944,plain,
c = add(c,multiply(additive_identity,b)),
inference(forward_demodulation,[status(thm)],[f259,f98943]) ).
fof(f99222,plain,
multiply(additive_identity,b) = add(additive_inverse(c),c),
inference(paramodulation,[status(thm)],[f98944,f1842]) ).
fof(f99223,plain,
multiply(additive_identity,b) = additive_identity,
inference(forward_demodulation,[status(thm)],[f227,f99222]) ).
fof(f103214,plain,
! [X0] : ifeq(product(additive_inverse(a),b,X0),true,ifeq(true,true,sum(X0,c,multiply(additive_identity,b)),true),true) = true,
inference(paramodulation,[status(thm)],[f29,f7580]) ).
fof(f103215,plain,
! [X0] : ifeq(product(additive_inverse(a),b,X0),true,sum(X0,c,multiply(additive_identity,b)),true) = true,
inference(forward_demodulation,[status(thm)],[f24,f103214]) ).
fof(f103216,plain,
! [X0] : ifeq(product(additive_inverse(a),b,X0),true,sum(X0,c,additive_identity),true) = true,
inference(forward_demodulation,[status(thm)],[f99223,f103215]) ).
fof(f174480,plain,
ifeq(true,true,sum(additive_inverse(d),c,additive_identity),true) = true,
inference(paramodulation,[status(thm)],[f65281,f103216]) ).
fof(f174481,plain,
sum(additive_inverse(d),c,additive_identity) = true,
inference(forward_demodulation,[status(thm)],[f24,f174480]) ).
fof(f174521,plain,
ifeq(true,true,sum(d,additive_identity,c),true) = true,
inference(paramodulation,[status(thm)],[f174481,f1038]) ).
fof(f174522,plain,
sum(d,additive_identity,c) = true,
inference(forward_demodulation,[status(thm)],[f24,f174521]) ).
fof(f175113,plain,
ifeq2(true,true,d,c) = c,
inference(paramodulation,[status(thm)],[f174522,f88]) ).
fof(f175114,plain,
d = c,
inference(forward_demodulation,[status(thm)],[f23,f175113]) ).
fof(f175115,plain,
$false,
inference(forward_subsumption_resolution,[status(thm)],[f175114,f44]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.13 % Problem : RNG004-10 : TPTP v8.1.2. Released v7.5.0.
% 0.07/0.13 % Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.14/0.35 % Computer : n019.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 May 30 10:36:10 EDT 2023
% 0.14/0.35 % CPUTime :
% 0.14/0.35 % Drodi V3.5.1
% 72.72/9.55 % Refutation found
% 72.72/9.55 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 72.72/9.55 % SZS output start CNFRefutation for theBenchmark
% See solution above
% 75.53/9.94 % Elapsed time: 9.565628 seconds
% 75.53/9.94 % CPU time: 74.523141 seconds
% 75.53/9.94 % Memory used: 755.094 MB
%------------------------------------------------------------------------------