TSTP Solution File: RNG004-1 by Drodi---3.5.1
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Drodi---3.5.1
% Problem : RNG004-1 : TPTP v8.1.2. Released v1.0.0.
% 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 1.99s 0.68s
% Output : CNFRefutation 1.99s
% Verified :
% SZS Type : Refutation
% Derivation depth : 23
% Number of leaves : 15
% Syntax : Number of formulae : 121 ( 74 unt; 0 def)
% Number of atoms : 214 ( 42 equ)
% Maximal formula atoms : 5 ( 1 avg)
% Number of connectives : 188 ( 95 ~; 93 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 13 ( 4 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 4 ( 2 usr; 1 prp; 0-3 aty)
% Number of functors : 8 ( 8 usr; 5 con; 0-2 aty)
% Number of variables : 232 (; 232 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
! [X] : sum(additive_identity,X,X),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f2,axiom,
! [X] : sum(X,additive_identity,X),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f3,axiom,
! [X,Y] : product(X,Y,multiply(X,Y)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f4,axiom,
! [X,Y] : sum(X,Y,add(X,Y)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f5,axiom,
! [X] : sum(additive_inverse(X),X,additive_identity),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f6,axiom,
! [X] : sum(X,additive_inverse(X),additive_identity),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f7,axiom,
! [X,Y,U,Z,V,W] :
( ~ sum(X,Y,U)
| ~ sum(Y,Z,V)
| ~ sum(U,Z,W)
| sum(X,V,W) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f8,axiom,
! [X,Y,U,Z,V,W] :
( ~ sum(X,Y,U)
| ~ sum(Y,Z,V)
| ~ sum(X,V,W)
| sum(U,Z,W) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f9,axiom,
! [X,Y,Z] :
( ~ sum(X,Y,Z)
| sum(Y,X,Z) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f12,axiom,
! [X,Y,V1,Z,V2,V3,V4] :
( ~ product(X,Y,V1)
| ~ product(X,Z,V2)
| ~ sum(Y,Z,V3)
| ~ product(X,V3,V4)
| sum(V1,V2,V4) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f14,axiom,
! [Y,X,V1,Z,V2,V3,V4] :
( ~ product(Y,X,V1)
| ~ product(Z,X,V2)
| ~ sum(Y,Z,V3)
| ~ product(V3,X,V4)
| sum(V1,V2,V4) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f16,axiom,
! [X,Y,U,V] :
( ~ sum(X,Y,U)
| ~ sum(X,Y,V)
| U = V ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f18,hypothesis,
product(a,b,c),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f19,hypothesis,
product(additive_inverse(a),additive_inverse(b),d),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f20,negated_conjecture,
c != d,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f21,plain,
! [X0] : sum(additive_identity,X0,X0),
inference(cnf_transformation,[status(esa)],[f1]) ).
fof(f22,plain,
! [X0] : sum(X0,additive_identity,X0),
inference(cnf_transformation,[status(esa)],[f2]) ).
fof(f23,plain,
! [X0,X1] : product(X0,X1,multiply(X0,X1)),
inference(cnf_transformation,[status(esa)],[f3]) ).
fof(f24,plain,
! [X0,X1] : sum(X0,X1,add(X0,X1)),
inference(cnf_transformation,[status(esa)],[f4]) ).
fof(f25,plain,
! [X0] : sum(additive_inverse(X0),X0,additive_identity),
inference(cnf_transformation,[status(esa)],[f5]) ).
fof(f26,plain,
! [X0] : sum(X0,additive_inverse(X0),additive_identity),
inference(cnf_transformation,[status(esa)],[f6]) ).
fof(f27,plain,
! [X,V,W] :
( ! [U,Z] :
( ! [Y] :
( ~ sum(X,Y,U)
| ~ sum(Y,Z,V) )
| ~ sum(U,Z,W) )
| sum(X,V,W) ),
inference(miniscoping,[status(esa)],[f7]) ).
fof(f28,plain,
! [X0,X1,X2,X3,X4,X5] :
( ~ sum(X0,X1,X2)
| ~ sum(X1,X3,X4)
| ~ sum(X2,X3,X5)
| sum(X0,X4,X5) ),
inference(cnf_transformation,[status(esa)],[f27]) ).
fof(f29,plain,
! [U,Z,W] :
( ! [X,V] :
( ! [Y] :
( ~ sum(X,Y,U)
| ~ sum(Y,Z,V) )
| ~ sum(X,V,W) )
| sum(U,Z,W) ),
inference(miniscoping,[status(esa)],[f8]) ).
fof(f30,plain,
! [X0,X1,X2,X3,X4,X5] :
( ~ sum(X0,X1,X2)
| ~ sum(X1,X3,X4)
| ~ sum(X0,X4,X5)
| sum(X2,X3,X5) ),
inference(cnf_transformation,[status(esa)],[f29]) ).
fof(f31,plain,
! [X0,X1,X2] :
( ~ sum(X0,X1,X2)
| sum(X1,X0,X2) ),
inference(cnf_transformation,[status(esa)],[f9]) ).
fof(f36,plain,
! [V1,V2,V4] :
( ! [X,V3] :
( ! [Y,Z] :
( ~ product(X,Y,V1)
| ~ product(X,Z,V2)
| ~ sum(Y,Z,V3) )
| ~ product(X,V3,V4) )
| sum(V1,V2,V4) ),
inference(miniscoping,[status(esa)],[f12]) ).
fof(f37,plain,
! [X0,X1,X2,X3,X4,X5,X6] :
( ~ product(X0,X1,X2)
| ~ product(X0,X3,X4)
| ~ sum(X1,X3,X5)
| ~ product(X0,X5,X6)
| sum(X2,X4,X6) ),
inference(cnf_transformation,[status(esa)],[f36]) ).
fof(f40,plain,
! [V1,V2,V4] :
( ! [X,V3] :
( ! [Y,Z] :
( ~ product(Y,X,V1)
| ~ product(Z,X,V2)
| ~ sum(Y,Z,V3) )
| ~ product(V3,X,V4) )
| sum(V1,V2,V4) ),
inference(miniscoping,[status(esa)],[f14]) ).
fof(f41,plain,
! [X0,X1,X2,X3,X4,X5,X6] :
( ~ product(X0,X1,X2)
| ~ product(X3,X1,X4)
| ~ sum(X0,X3,X5)
| ~ product(X5,X1,X6)
| sum(X2,X4,X6) ),
inference(cnf_transformation,[status(esa)],[f40]) ).
fof(f44,plain,
! [U,V] :
( ! [X,Y] :
( ~ sum(X,Y,U)
| ~ sum(X,Y,V) )
| U = V ),
inference(miniscoping,[status(esa)],[f16]) ).
fof(f45,plain,
! [X0,X1,X2,X3] :
( ~ sum(X0,X1,X2)
| ~ sum(X0,X1,X3)
| X2 = X3 ),
inference(cnf_transformation,[status(esa)],[f44]) ).
fof(f48,plain,
product(a,b,c),
inference(cnf_transformation,[status(esa)],[f18]) ).
fof(f49,plain,
product(additive_inverse(a),additive_inverse(b),d),
inference(cnf_transformation,[status(esa)],[f19]) ).
fof(f50,plain,
c != d,
inference(cnf_transformation,[status(esa)],[f20]) ).
fof(f55,plain,
! [X0,X1] : sum(X0,X1,add(X1,X0)),
inference(resolution,[status(thm)],[f31,f24]) ).
fof(f57,plain,
! [X0,X1] :
( ~ sum(additive_inverse(X0),X0,X1)
| additive_identity = X1 ),
inference(resolution,[status(thm)],[f45,f25]) ).
fof(f58,plain,
! [X0,X1] :
( ~ sum(additive_identity,X0,X1)
| X0 = X1 ),
inference(resolution,[status(thm)],[f45,f21]) ).
fof(f60,plain,
! [X0,X1] :
( ~ sum(X0,additive_identity,X1)
| X0 = X1 ),
inference(resolution,[status(thm)],[f45,f22]) ).
fof(f61,plain,
! [X0,X1,X2] :
( ~ sum(X0,X1,X2)
| add(X1,X0) = X2 ),
inference(resolution,[status(thm)],[f45,f55]) ).
fof(f62,plain,
! [X0,X1,X2] :
( ~ sum(X0,X1,X2)
| add(X0,X1) = X2 ),
inference(resolution,[status(thm)],[f45,f24]) ).
fof(f64,plain,
! [X0] : X0 = add(X0,additive_identity),
inference(resolution,[status(thm)],[f58,f55]) ).
fof(f72,plain,
! [X0,X1,X2,X3] :
( ~ sum(X0,X1,X2)
| ~ sum(additive_identity,X1,X3)
| sum(additive_inverse(X0),X2,X3) ),
inference(resolution,[status(thm)],[f28,f25]) ).
fof(f73,plain,
! [X0,X1,X2,X3] :
( ~ sum(X0,X1,X2)
| ~ sum(X0,X1,X3)
| sum(additive_identity,X2,X3) ),
inference(resolution,[status(thm)],[f28,f21]) ).
fof(f75,plain,
! [X0,X1,X2,X3] :
( ~ sum(additive_identity,X0,X1)
| ~ sum(X2,X0,X3)
| sum(X2,X1,X3) ),
inference(resolution,[status(thm)],[f28,f22]) ).
fof(f83,plain,
! [X0,X1,X2,X3,X4] :
( ~ sum(X0,X1,X2)
| ~ sum(X3,X2,X4)
| sum(add(X3,X0),X1,X4) ),
inference(resolution,[status(thm)],[f30,f24]) ).
fof(f88,plain,
! [X0] : additive_identity = add(X0,additive_inverse(X0)),
inference(resolution,[status(thm)],[f57,f55]) ).
fof(f89,plain,
! [X0] : additive_identity = add(additive_inverse(X0),X0),
inference(resolution,[status(thm)],[f57,f24]) ).
fof(f109,plain,
! [X0,X1] : add(X0,X1) = add(X1,X0),
inference(resolution,[status(thm)],[f61,f24]) ).
fof(f143,plain,
! [X0,X1,X2] :
( ~ sum(X0,X1,X2)
| sum(additive_identity,add(X1,X0),X2) ),
inference(resolution,[status(thm)],[f73,f55]) ).
fof(f151,plain,
! [X0,X1,X2,X3] :
( ~ product(additive_inverse(a),X0,X1)
| ~ sum(additive_inverse(b),X0,X2)
| ~ product(additive_inverse(a),X2,X3)
| sum(d,X1,X3) ),
inference(resolution,[status(thm)],[f37,f49]) ).
fof(f152,plain,
! [X0,X1,X2,X3] :
( ~ product(a,X0,X1)
| ~ sum(b,X0,X2)
| ~ product(a,X2,X3)
| sum(c,X1,X3) ),
inference(resolution,[status(thm)],[f37,f48]) ).
fof(f182,plain,
! [X0,X1,X2] :
( ~ sum(b,X0,X1)
| ~ product(a,X1,X2)
| sum(c,multiply(a,X0),X2) ),
inference(resolution,[status(thm)],[f152,f23]) ).
fof(f195,plain,
! [X0,X1,X2] :
( ~ sum(additive_inverse(b),X0,X1)
| ~ product(additive_inverse(a),X1,X2)
| sum(d,multiply(additive_inverse(a),X0),X2) ),
inference(resolution,[status(thm)],[f151,f23]) ).
fof(f225,plain,
! [X0] :
( ~ product(a,additive_identity,X0)
| sum(c,multiply(a,additive_inverse(b)),X0) ),
inference(resolution,[status(thm)],[f182,f26]) ).
fof(f226,plain,
! [X0] :
( ~ product(a,b,X0)
| sum(c,multiply(a,additive_identity),X0) ),
inference(resolution,[status(thm)],[f182,f22]) ).
fof(f227,plain,
! [X0,X1] :
( ~ product(a,add(X0,b),X1)
| sum(c,multiply(a,X0),X1) ),
inference(resolution,[status(thm)],[f182,f55]) ).
fof(f229,plain,
sum(c,multiply(a,additive_identity),c),
inference(resolution,[status(thm)],[f226,f48]) ).
fof(f252,plain,
! [X0] :
( ~ product(additive_inverse(a),additive_identity,X0)
| sum(d,multiply(additive_inverse(a),b),X0) ),
inference(resolution,[status(thm)],[f195,f25]) ).
fof(f254,plain,
! [X0] :
( ~ product(additive_inverse(a),additive_inverse(b),X0)
| sum(d,multiply(additive_inverse(a),additive_identity),X0) ),
inference(resolution,[status(thm)],[f195,f22]) ).
fof(f257,plain,
sum(c,multiply(a,additive_inverse(b)),multiply(a,additive_identity)),
inference(resolution,[status(thm)],[f225,f23]) ).
fof(f278,plain,
! [X0] : sum(c,multiply(a,X0),multiply(a,add(X0,b))),
inference(resolution,[status(thm)],[f227,f23]) ).
fof(f290,plain,
sum(multiply(a,additive_inverse(b)),c,multiply(a,additive_identity)),
inference(resolution,[status(thm)],[f257,f31]) ).
fof(f297,plain,
! [X0] : add(c,multiply(a,X0)) = multiply(a,add(X0,b)),
inference(resolution,[status(thm)],[f278,f62]) ).
fof(f315,plain,
! [X0] : sum(c,multiply(a,X0),multiply(a,add(b,X0))),
inference(paramodulation,[status(thm)],[f109,f278]) ).
fof(f369,plain,
! [X0] : add(c,multiply(a,X0)) = multiply(a,add(b,X0)),
inference(resolution,[status(thm)],[f315,f62]) ).
fof(f370,plain,
! [X0] : multiply(a,add(X0,b)) = multiply(a,add(b,X0)),
inference(forward_demodulation,[status(thm)],[f297,f369]) ).
fof(f444,plain,
! [X0,X1] : sum(additive_identity,add(X0,X1),add(X1,X0)),
inference(resolution,[status(thm)],[f143,f24]) ).
fof(f594,plain,
! [X0,X1,X2,X3] :
( ~ sum(X0,add(X1,X2),X3)
| sum(X0,add(X2,X1),X3) ),
inference(resolution,[status(thm)],[f75,f444]) ).
fof(f658,plain,
! [X0,X1,X2,X3] :
( ~ product(X0,b,X1)
| ~ sum(a,X0,X2)
| ~ product(X2,b,X3)
| sum(c,X1,X3) ),
inference(resolution,[status(thm)],[f41,f48]) ).
fof(f951,plain,
! [X0,X1,X2] :
( ~ sum(a,X0,X1)
| ~ product(X1,b,X2)
| sum(c,multiply(X0,b),X2) ),
inference(resolution,[status(thm)],[f658,f23]) ).
fof(f1097,plain,
! [X0,X1,X2] : sum(X0,add(X1,X2),add(add(X2,X1),X0)),
inference(resolution,[status(thm)],[f594,f55]) ).
fof(f1098,plain,
! [X0,X1,X2] : sum(X0,add(X1,X2),add(X0,add(X2,X1))),
inference(resolution,[status(thm)],[f594,f24]) ).
fof(f1187,plain,
! [X0,X1,X2] : add(X0,add(X1,X2)) = add(add(X2,X1),X0),
inference(resolution,[status(thm)],[f1097,f62]) ).
fof(f1191,plain,
! [X0,X1,X2,X3] :
( ~ sum(X0,add(X1,X2),X3)
| add(add(X2,X1),X0) = X3 ),
inference(resolution,[status(thm)],[f1097,f45]) ).
fof(f1263,plain,
! [X0,X1,X2,X3] :
( ~ sum(X0,add(X1,X2),X3)
| add(X0,add(X2,X1)) = X3 ),
inference(resolution,[status(thm)],[f1098,f45]) ).
fof(f1806,plain,
! [X0] :
( ~ sum(additive_identity,multiply(a,additive_identity),X0)
| sum(additive_inverse(c),c,X0) ),
inference(resolution,[status(thm)],[f72,f229]) ).
fof(f1812,plain,
! [X0,X1] :
( ~ sum(additive_identity,X0,X1)
| sum(additive_inverse(additive_inverse(X0)),additive_identity,X1) ),
inference(resolution,[status(thm)],[f72,f25]) ).
fof(f1820,plain,
! [X0,X1,X2] :
( ~ sum(additive_identity,X0,X1)
| sum(additive_inverse(X2),add(X0,X2),X1) ),
inference(resolution,[status(thm)],[f72,f55]) ).
fof(f2694,plain,
! [X0] :
( ~ product(a,b,X0)
| sum(c,multiply(additive_identity,b),X0) ),
inference(resolution,[status(thm)],[f951,f22]) ).
fof(f2695,plain,
! [X0,X1] :
( ~ product(add(X0,a),b,X1)
| sum(c,multiply(X0,b),X1) ),
inference(resolution,[status(thm)],[f951,f55]) ).
fof(f3145,plain,
sum(d,multiply(additive_inverse(a),b),multiply(additive_inverse(a),additive_identity)),
inference(resolution,[status(thm)],[f252,f23]) ).
fof(f3296,plain,
sum(c,multiply(additive_identity,b),c),
inference(resolution,[status(thm)],[f2694,f48]) ).
fof(f3299,plain,
! [X0,X1] :
( ~ sum(X0,c,X1)
| sum(add(X0,c),multiply(additive_identity,b),X1) ),
inference(resolution,[status(thm)],[f3296,f83]) ).
fof(f3316,plain,
sum(d,multiply(additive_inverse(a),additive_identity),d),
inference(resolution,[status(thm)],[f254,f49]) ).
fof(f3432,plain,
add(d,multiply(additive_inverse(a),additive_identity)) = d,
inference(resolution,[status(thm)],[f3316,f62]) ).
fof(f4335,plain,
sum(additive_inverse(c),c,multiply(a,additive_identity)),
inference(resolution,[status(thm)],[f1806,f21]) ).
fof(f4343,plain,
additive_identity = multiply(a,additive_identity),
inference(resolution,[status(thm)],[f4335,f57]) ).
fof(f4413,plain,
sum(multiply(a,additive_inverse(b)),c,additive_identity),
inference(backward_demodulation,[status(thm)],[f4343,f290]) ).
fof(f5338,plain,
! [X0] : sum(additive_inverse(additive_inverse(X0)),additive_identity,X0),
inference(resolution,[status(thm)],[f1812,f21]) ).
fof(f5357,plain,
! [X0] : additive_inverse(additive_inverse(X0)) = X0,
inference(resolution,[status(thm)],[f5338,f60]) ).
fof(f5461,plain,
! [X0,X1] : sum(additive_inverse(X0),add(X1,X0),X1),
inference(resolution,[status(thm)],[f1820,f21]) ).
fof(f5522,plain,
! [X0] : sum(c,multiply(X0,b),multiply(add(X0,a),b)),
inference(resolution,[status(thm)],[f2695,f23]) ).
fof(f5560,plain,
! [X0] : add(c,multiply(X0,b)) = multiply(add(X0,a),b),
inference(resolution,[status(thm)],[f5522,f62]) ).
fof(f5583,plain,
! [X0] : sum(c,multiply(X0,b),multiply(add(a,X0),b)),
inference(paramodulation,[status(thm)],[f109,f5522]) ).
fof(f5795,plain,
! [X0] : add(c,multiply(X0,b)) = multiply(add(a,X0),b),
inference(resolution,[status(thm)],[f5583,f62]) ).
fof(f5796,plain,
! [X0] : multiply(add(X0,a),b) = multiply(add(a,X0),b),
inference(forward_demodulation,[status(thm)],[f5560,f5795]) ).
fof(f6133,plain,
sum(add(multiply(a,additive_inverse(b)),c),multiply(additive_identity,b),additive_identity),
inference(resolution,[status(thm)],[f3299,f4413]) ).
fof(f6134,plain,
sum(add(c,multiply(a,additive_inverse(b))),multiply(additive_identity,b),additive_identity),
inference(forward_demodulation,[status(thm)],[f109,f6133]) ).
fof(f6135,plain,
sum(multiply(a,add(additive_inverse(b),b)),multiply(additive_identity,b),additive_identity),
inference(forward_demodulation,[status(thm)],[f297,f6134]) ).
fof(f6136,plain,
sum(multiply(a,add(b,additive_inverse(b))),multiply(additive_identity,b),additive_identity),
inference(forward_demodulation,[status(thm)],[f370,f6135]) ).
fof(f6137,plain,
sum(multiply(a,additive_identity),multiply(additive_identity,b),additive_identity),
inference(forward_demodulation,[status(thm)],[f88,f6136]) ).
fof(f6138,plain,
sum(additive_identity,multiply(additive_identity,b),additive_identity),
inference(forward_demodulation,[status(thm)],[f4343,f6137]) ).
fof(f6160,plain,
multiply(additive_identity,b) = additive_identity,
inference(resolution,[status(thm)],[f6138,f58]) ).
fof(f6280,plain,
! [X0,X1] : add(additive_inverse(X0),add(X0,X1)) = X1,
inference(resolution,[status(thm)],[f5461,f1263]) ).
fof(f6281,plain,
! [X0,X1] : add(add(X0,X1),additive_inverse(X0)) = X1,
inference(resolution,[status(thm)],[f5461,f1191]) ).
fof(f6282,plain,
! [X0,X1] : add(additive_inverse(X0),add(X1,X0)) = X1,
inference(forward_demodulation,[status(thm)],[f1187,f6281]) ).
fof(f6336,plain,
add(additive_inverse(d),d) = multiply(additive_inverse(a),additive_identity),
inference(paramodulation,[status(thm)],[f3432,f6280]) ).
fof(f6337,plain,
additive_identity = multiply(additive_inverse(a),additive_identity),
inference(forward_demodulation,[status(thm)],[f89,f6336]) ).
fof(f6845,plain,
sum(d,multiply(additive_inverse(a),b),additive_identity),
inference(backward_demodulation,[status(thm)],[f6337,f3145]) ).
fof(f7023,plain,
add(d,multiply(additive_inverse(a),b)) = additive_identity,
inference(resolution,[status(thm)],[f6845,f62]) ).
fof(f7096,plain,
add(additive_inverse(d),additive_identity) = multiply(additive_inverse(a),b),
inference(paramodulation,[status(thm)],[f7023,f6280]) ).
fof(f7097,plain,
additive_inverse(d) = multiply(additive_inverse(a),b),
inference(forward_demodulation,[status(thm)],[f64,f7096]) ).
fof(f7280,plain,
add(c,additive_inverse(d)) = multiply(add(additive_inverse(a),a),b),
inference(paramodulation,[status(thm)],[f7097,f5560]) ).
fof(f7281,plain,
add(c,additive_inverse(d)) = multiply(add(a,additive_inverse(a)),b),
inference(forward_demodulation,[status(thm)],[f5796,f7280]) ).
fof(f7282,plain,
add(c,additive_inverse(d)) = multiply(additive_identity,b),
inference(forward_demodulation,[status(thm)],[f88,f7281]) ).
fof(f7283,plain,
add(c,additive_inverse(d)) = additive_identity,
inference(forward_demodulation,[status(thm)],[f6160,f7282]) ).
fof(f7369,plain,
add(additive_inverse(additive_inverse(d)),additive_identity) = c,
inference(paramodulation,[status(thm)],[f7283,f6282]) ).
fof(f7370,plain,
additive_inverse(additive_inverse(d)) = c,
inference(forward_demodulation,[status(thm)],[f64,f7369]) ).
fof(f7371,plain,
d = c,
inference(forward_demodulation,[status(thm)],[f5357,f7370]) ).
fof(f7372,plain,
$false,
inference(forward_subsumption_resolution,[status(thm)],[f7371,f50]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.10 % Problem : RNG004-1 : TPTP v8.1.2. Released v1.0.0.
% 0.00/0.10 % Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.10/0.30 % Computer : n019.cluster.edu
% 0.10/0.30 % Model : x86_64 x86_64
% 0.10/0.30 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.30 % Memory : 8042.1875MB
% 0.10/0.30 % OS : Linux 3.10.0-693.el7.x86_64
% 0.10/0.30 % CPULimit : 300
% 0.10/0.30 % WCLimit : 300
% 0.10/0.30 % DateTime : Tue May 30 10:36:55 EDT 2023
% 0.10/0.30 % CPUTime :
% 0.10/0.31 % Drodi V3.5.1
% 1.99/0.68 % Refutation found
% 1.99/0.68 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 1.99/0.68 % SZS output start CNFRefutation for theBenchmark
% See solution above
% 1.99/0.70 % Elapsed time: 0.392622 seconds
% 1.99/0.70 % CPU time: 2.426352 seconds
% 1.99/0.70 % Memory used: 37.447 MB
%------------------------------------------------------------------------------