TSTP Solution File: RNG008-2 by Drodi---3.6.0
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Drodi---3.6.0
% Problem : RNG008-2 : TPTP v8.1.2. Released v1.0.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% Computer : n024.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 20:37:41 EDT 2024
% Result : Unsatisfiable 24.86s 3.48s
% Output : CNFRefutation 25.08s
% Verified :
% SZS Type : Refutation
% Derivation depth : 29
% Number of leaves : 17
% Syntax : Number of formulae : 134 ( 76 unt; 0 def)
% Number of atoms : 258 ( 46 equ)
% Maximal formula atoms : 5 ( 1 avg)
% Number of connectives : 250 ( 126 ~; 124 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 13 ( 5 avg)
% Maximal term depth : 5 ( 1 avg)
% Number of predicates : 4 ( 2 usr; 1 prp; 0-3 aty)
% Number of functors : 7 ( 7 usr; 4 con; 0-2 aty)
% Number of variables : 374 ( 374 !; 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(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(f9,axiom,
! [X,Y,Z] :
( ~ sum(X,Y,Z)
| sum(Y,X,Z) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f10,axiom,
! [X,Y,U,Z,V,W] :
( ~ product(X,Y,U)
| ~ product(Y,Z,V)
| ~ product(U,Z,W)
| product(X,V,W) ),
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(f15,axiom,
! [Y,X,V1,Z,V2,V3,V4] :
( ~ product(Y,X,V1)
| ~ product(Z,X,V2)
| ~ sum(Y,Z,V3)
| ~ sum(V1,V2,V4)
| product(V3,X,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(f17,axiom,
! [X,Y,U,V] :
( ~ product(X,Y,U)
| ~ product(X,Y,V)
| U = V ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f18,axiom,
! [X,Y,Z,W] :
( ~ sum(X,Y,Z)
| ~ sum(X,W,Z)
| Y = W ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f20,hypothesis,
! [X] : product(X,X,X),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f21,hypothesis,
product(a,b,c),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f22,negated_conjecture,
~ product(b,a,c),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f23,plain,
! [X0] : sum(additive_identity,X0,X0),
inference(cnf_transformation,[status(esa)],[f1]) ).
fof(f24,plain,
! [X0] : sum(X0,additive_identity,X0),
inference(cnf_transformation,[status(esa)],[f2]) ).
fof(f25,plain,
! [X0,X1] : product(X0,X1,multiply(X0,X1)),
inference(cnf_transformation,[status(esa)],[f3]) ).
fof(f26,plain,
! [X0,X1] : sum(X0,X1,add(X0,X1)),
inference(cnf_transformation,[status(esa)],[f4]) ).
fof(f27,plain,
! [X0] : sum(additive_inverse(X0),X0,additive_identity),
inference(cnf_transformation,[status(esa)],[f5]) ).
fof(f29,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(f30,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)],[f29]) ).
fof(f33,plain,
! [X0,X1,X2] :
( ~ sum(X0,X1,X2)
| sum(X1,X0,X2) ),
inference(cnf_transformation,[status(esa)],[f9]) ).
fof(f34,plain,
! [X,V,W] :
( ! [U,Z] :
( ! [Y] :
( ~ product(X,Y,U)
| ~ product(Y,Z,V) )
| ~ product(U,Z,W) )
| product(X,V,W) ),
inference(miniscoping,[status(esa)],[f10]) ).
fof(f35,plain,
! [X0,X1,X2,X3,X4,X5] :
( ~ product(X0,X1,X2)
| ~ product(X1,X3,X4)
| ~ product(X2,X3,X5)
| product(X0,X4,X5) ),
inference(cnf_transformation,[status(esa)],[f34]) ).
fof(f38,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(f39,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)],[f38]) ).
fof(f42,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(f43,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)],[f42]) ).
fof(f44,plain,
! [X,V3,V4] :
( ! [V1,V2] :
( ! [Y,Z] :
( ~ product(Y,X,V1)
| ~ product(Z,X,V2)
| ~ sum(Y,Z,V3) )
| ~ sum(V1,V2,V4) )
| product(V3,X,V4) ),
inference(miniscoping,[status(esa)],[f15]) ).
fof(f45,plain,
! [X0,X1,X2,X3,X4,X5,X6] :
( ~ product(X0,X1,X2)
| ~ product(X3,X1,X4)
| ~ sum(X0,X3,X5)
| ~ sum(X2,X4,X6)
| product(X5,X1,X6) ),
inference(cnf_transformation,[status(esa)],[f44]) ).
fof(f46,plain,
! [U,V] :
( ! [X,Y] :
( ~ sum(X,Y,U)
| ~ sum(X,Y,V) )
| U = V ),
inference(miniscoping,[status(esa)],[f16]) ).
fof(f47,plain,
! [X0,X1,X2,X3] :
( ~ sum(X0,X1,X2)
| ~ sum(X0,X1,X3)
| X2 = X3 ),
inference(cnf_transformation,[status(esa)],[f46]) ).
fof(f48,plain,
! [U,V] :
( ! [X,Y] :
( ~ product(X,Y,U)
| ~ product(X,Y,V) )
| U = V ),
inference(miniscoping,[status(esa)],[f17]) ).
fof(f49,plain,
! [X0,X1,X2,X3] :
( ~ product(X0,X1,X2)
| ~ product(X0,X1,X3)
| X2 = X3 ),
inference(cnf_transformation,[status(esa)],[f48]) ).
fof(f50,plain,
! [Y,W] :
( ! [X,Z] :
( ~ sum(X,Y,Z)
| ~ sum(X,W,Z) )
| Y = W ),
inference(miniscoping,[status(esa)],[f18]) ).
fof(f51,plain,
! [X0,X1,X2,X3] :
( ~ sum(X0,X1,X2)
| ~ sum(X0,X3,X2)
| X1 = X3 ),
inference(cnf_transformation,[status(esa)],[f50]) ).
fof(f54,plain,
! [X0] : product(X0,X0,X0),
inference(cnf_transformation,[status(esa)],[f20]) ).
fof(f55,plain,
product(a,b,c),
inference(cnf_transformation,[status(esa)],[f21]) ).
fof(f56,plain,
~ product(b,a,c),
inference(cnf_transformation,[status(esa)],[f22]) ).
fof(f57,plain,
! [X0] :
( ~ product(a,b,X0)
| c = X0 ),
inference(resolution,[status(thm)],[f49,f55]) ).
fof(f58,plain,
! [X0,X1] :
( ~ product(X0,X0,X1)
| X0 = X1 ),
inference(resolution,[status(thm)],[f49,f54]) ).
fof(f60,plain,
! [X0,X1,X2,X3] :
( ~ product(X0,X1,X2)
| ~ product(X0,X1,X3)
| product(X0,X2,X3) ),
inference(resolution,[status(thm)],[f35,f54]) ).
fof(f73,plain,
! [X0,X1,X2,X3,X4] :
( ~ product(X0,X1,X2)
| ~ sum(X0,X1,X3)
| ~ product(X0,X3,X4)
| sum(X0,X2,X4) ),
inference(resolution,[status(thm)],[f39,f54]) ).
fof(f82,plain,
c = multiply(a,b),
inference(resolution,[status(thm)],[f25,f57]) ).
fof(f85,plain,
! [X0,X1,X2,X3,X4,X5] :
( ~ product(X0,X1,X2)
| ~ sum(X3,X1,X4)
| ~ product(X0,X4,X5)
| sum(multiply(X0,X3),X2,X5) ),
inference(resolution,[status(thm)],[f25,f39]) ).
fof(f87,plain,
! [X0,X1,X2] :
( ~ product(X0,X1,X2)
| product(X0,multiply(X0,X1),X2) ),
inference(resolution,[status(thm)],[f25,f60]) ).
fof(f89,plain,
! [X0] : X0 = multiply(X0,X0),
inference(resolution,[status(thm)],[f25,f58]) ).
fof(f98,plain,
! [X0,X1] : sum(X0,X1,add(X1,X0)),
inference(resolution,[status(thm)],[f33,f26]) ).
fof(f104,plain,
! [X0,X1] :
( ~ sum(additive_identity,X0,X1)
| X0 = X1 ),
inference(resolution,[status(thm)],[f47,f23]) ).
fof(f107,plain,
! [X0,X1,X2] :
( ~ sum(X0,X1,X2)
| add(X1,X0) = X2 ),
inference(resolution,[status(thm)],[f47,f98]) ).
fof(f108,plain,
! [X0,X1,X2] :
( ~ sum(X0,X1,X2)
| add(X0,X1) = X2 ),
inference(resolution,[status(thm)],[f47,f26]) ).
fof(f110,plain,
! [X0] : X0 = add(X0,additive_identity),
inference(resolution,[status(thm)],[f104,f98]) ).
fof(f114,plain,
! [X0,X1,X2,X3] :
( ~ sum(X0,X1,X2)
| ~ sum(additive_identity,X1,X3)
| sum(additive_inverse(X0),X2,X3) ),
inference(resolution,[status(thm)],[f30,f27]) ).
fof(f119,plain,
! [X0,X1,X2,X3,X4] :
( ~ sum(X0,X1,X2)
| ~ sum(add(X3,X0),X1,X4)
| sum(X3,X2,X4) ),
inference(resolution,[status(thm)],[f30,f26]) ).
fof(f128,plain,
! [X0,X1,X2,X3,X4,X5] :
( ~ product(X0,X1,X2)
| ~ sum(X3,X0,X4)
| ~ product(X4,X1,X5)
| sum(multiply(X3,X1),X2,X5) ),
inference(resolution,[status(thm)],[f43,f25]) ).
fof(f129,plain,
! [X0,X1,X2,X3,X4] :
( ~ product(X0,X1,X2)
| ~ sum(X1,X0,X3)
| ~ product(X3,X1,X4)
| sum(X1,X2,X4) ),
inference(resolution,[status(thm)],[f43,f54]) ).
fof(f157,plain,
! [X0,X1,X2,X3,X4,X5] :
( ~ product(X0,X1,X2)
| ~ sum(X3,X0,X4)
| ~ sum(multiply(X3,X1),X2,X5)
| product(X4,X1,X5) ),
inference(resolution,[status(thm)],[f45,f25]) ).
fof(f168,plain,
! [X0,X1] : product(X0,multiply(X0,X1),multiply(X0,X1)),
inference(resolution,[status(thm)],[f87,f25]) ).
fof(f260,plain,
! [X0,X1] : add(X0,X1) = add(X1,X0),
inference(resolution,[status(thm)],[f107,f26]) ).
fof(f285,plain,
! [X0,X1] :
( ~ sum(X0,X1,X0)
| additive_identity = X1 ),
inference(resolution,[status(thm)],[f51,f24]) ).
fof(f287,plain,
! [X0,X1,X2] :
( ~ sum(X0,X1,add(X0,X2))
| X2 = X1 ),
inference(resolution,[status(thm)],[f51,f26]) ).
fof(f317,plain,
! [X0,X1,X2,X3] :
( ~ sum(X0,X1,X2)
| ~ product(X0,X2,X3)
| sum(X0,multiply(X0,X1),X3) ),
inference(resolution,[status(thm)],[f73,f25]) ).
fof(f456,plain,
! [X0,X1,X2,X3,X4] :
( ~ sum(X0,X1,X2)
| ~ product(X3,X2,X4)
| sum(multiply(X3,X0),multiply(X3,X1),X4) ),
inference(resolution,[status(thm)],[f85,f25]) ).
fof(f603,plain,
! [X0,X1,X2,X3] :
( ~ sum(X0,X1,X2)
| ~ product(X2,X1,X3)
| sum(multiply(X0,X1),X1,X3) ),
inference(resolution,[status(thm)],[f128,f54]) ).
fof(f611,plain,
! [X0,X1,X2] :
( ~ sum(X0,X0,X1)
| ~ product(X1,X0,X2)
| sum(X0,X0,X2) ),
inference(resolution,[status(thm)],[f129,f54]) ).
fof(f620,plain,
! [X0,X1] :
( ~ product(add(X0,X0),X0,X1)
| sum(X0,X0,X1) ),
inference(resolution,[status(thm)],[f611,f98]) ).
fof(f622,plain,
! [X0] : sum(X0,X0,multiply(add(X0,X0),X0)),
inference(resolution,[status(thm)],[f620,f25]) ).
fof(f638,plain,
! [X0] : add(X0,X0) = multiply(add(X0,X0),X0),
inference(resolution,[status(thm)],[f622,f108]) ).
fof(f709,plain,
! [X0,X1,X2] :
( ~ sum(additive_identity,X0,X1)
| sum(additive_inverse(X2),add(X0,X2),X1) ),
inference(resolution,[status(thm)],[f114,f98]) ).
fof(f710,plain,
! [X0,X1,X2] :
( ~ sum(additive_identity,X0,X1)
| sum(additive_inverse(X2),add(X2,X0),X1) ),
inference(resolution,[status(thm)],[f114,f26]) ).
fof(f912,plain,
! [X0,X1,X2,X3] :
( ~ sum(X0,X1,X2)
| ~ sum(multiply(X0,X1),X1,X3)
| product(X2,X1,X3) ),
inference(resolution,[status(thm)],[f157,f54]) ).
fof(f1101,plain,
! [X0,X1,X2,X3] :
( ~ sum(add(X0,X1),X2,X3)
| sum(X0,add(X2,X1),X3) ),
inference(resolution,[status(thm)],[f119,f98]) ).
fof(f1102,plain,
! [X0,X1,X2,X3] :
( ~ sum(add(X0,X1),X2,X3)
| sum(X0,add(X1,X2),X3) ),
inference(resolution,[status(thm)],[f119,f26]) ).
fof(f1895,plain,
! [X0,X1] :
( ~ product(X0,X0,X1)
| sum(X0,multiply(X0,additive_identity),X1) ),
inference(resolution,[status(thm)],[f317,f24]) ).
fof(f1896,plain,
! [X0,X1,X2] :
( ~ product(X0,add(X1,X0),X2)
| sum(X0,multiply(X0,X1),X2) ),
inference(resolution,[status(thm)],[f317,f98]) ).
fof(f1897,plain,
! [X0,X1,X2] :
( ~ product(X0,add(X0,X1),X2)
| sum(X0,multiply(X0,X1),X2) ),
inference(resolution,[status(thm)],[f317,f26]) ).
fof(f2364,plain,
! [X0] : sum(X0,multiply(X0,additive_identity),multiply(X0,X0)),
inference(resolution,[status(thm)],[f1895,f25]) ).
fof(f2365,plain,
! [X0] : sum(X0,multiply(X0,additive_identity),X0),
inference(forward_demodulation,[status(thm)],[f89,f2364]) ).
fof(f2390,plain,
! [X0] : additive_identity = multiply(X0,additive_identity),
inference(resolution,[status(thm)],[f2365,f285]) ).
fof(f2480,plain,
! [X0] : product(X0,multiply(X0,additive_identity),additive_identity),
inference(paramodulation,[status(thm)],[f2390,f168]) ).
fof(f2481,plain,
! [X0] : product(X0,additive_identity,additive_identity),
inference(forward_demodulation,[status(thm)],[f2390,f2480]) ).
fof(f3087,plain,
! [X0,X1,X2] :
( ~ product(X0,additive_identity,X1)
| sum(multiply(X0,additive_inverse(X2)),multiply(X0,X2),X1) ),
inference(resolution,[status(thm)],[f456,f27]) ).
fof(f3730,plain,
! [X0,X1,X2] :
( ~ product(add(X0,X1),X0,X2)
| sum(multiply(X1,X0),X0,X2) ),
inference(resolution,[status(thm)],[f603,f98]) ).
fof(f4023,plain,
! [X0,X1] : sum(additive_inverse(X0),add(X1,X0),X1),
inference(resolution,[status(thm)],[f709,f23]) ).
fof(f4034,plain,
! [X0,X1] : sum(additive_inverse(X0),add(X0,X1),X1),
inference(resolution,[status(thm)],[f710,f23]) ).
fof(f4110,plain,
! [X0,X1] : X0 = add(add(additive_inverse(X1),X0),X1),
inference(resolution,[status(thm)],[f4023,f287]) ).
fof(f4111,plain,
! [X0,X1] : X0 = add(X1,add(additive_inverse(X1),X0)),
inference(forward_demodulation,[status(thm)],[f260,f4110]) ).
fof(f4145,plain,
! [X0,X1] : add(additive_inverse(X0),add(X1,X0)) = X1,
inference(resolution,[status(thm)],[f4023,f108]) ).
fof(f4199,plain,
! [X0,X1] : add(additive_inverse(X0),add(X0,X1)) = X1,
inference(resolution,[status(thm)],[f4034,f108]) ).
fof(f4532,plain,
! [X0,X1] : add(additive_inverse(add(X0,X1)),X0) = additive_inverse(X1),
inference(paramodulation,[status(thm)],[f4145,f4145]) ).
fof(f4533,plain,
! [X0,X1] : add(X0,additive_inverse(add(X0,X1))) = additive_inverse(X1),
inference(forward_demodulation,[status(thm)],[f260,f4532]) ).
fof(f4754,plain,
! [X0,X1,X2] :
( ~ sum(multiply(X0,X1),X1,X2)
| product(add(X1,X0),X1,X2) ),
inference(resolution,[status(thm)],[f912,f98]) ).
fof(f5278,plain,
! [X0,X1,X2] : sum(X0,add(X1,X2),add(X1,add(X0,X2))),
inference(resolution,[status(thm)],[f1101,f98]) ).
fof(f5533,plain,
! [X0,X1,X2] : sum(X0,add(X1,X2),add(add(X0,X1),X2)),
inference(resolution,[status(thm)],[f1102,f26]) ).
fof(f7295,plain,
! [X0,X1] : sum(X0,multiply(X0,X1),multiply(X0,add(X1,X0))),
inference(resolution,[status(thm)],[f1896,f25]) ).
fof(f7318,plain,
! [X0,X1] : sum(X0,multiply(X0,X1),multiply(X0,add(X0,X1))),
inference(resolution,[status(thm)],[f1897,f25]) ).
fof(f10210,plain,
! [X0,X1] : add(X0,multiply(X0,X1)) = multiply(X0,add(X1,X0)),
inference(resolution,[status(thm)],[f7295,f108]) ).
fof(f10392,plain,
! [X0,X1] : add(X0,multiply(X0,X1)) = multiply(X0,add(X0,X1)),
inference(resolution,[status(thm)],[f7318,f108]) ).
fof(f11542,plain,
! [X0,X1] : sum(multiply(X0,additive_inverse(X1)),multiply(X0,X1),additive_identity),
inference(resolution,[status(thm)],[f3087,f2481]) ).
fof(f11972,plain,
! [X0,X1] : multiply(X0,add(X1,X0)) = multiply(X0,add(X0,X1)),
inference(forward_demodulation,[status(thm)],[f10210,f10392]) ).
fof(f12674,plain,
! [X0,X1] : add(multiply(X0,additive_inverse(X1)),multiply(X0,X1)) = additive_identity,
inference(resolution,[status(thm)],[f11542,f108]) ).
fof(f12675,plain,
! [X0,X1] : add(multiply(X0,X1),multiply(X0,additive_inverse(X1))) = additive_identity,
inference(forward_demodulation,[status(thm)],[f260,f12674]) ).
fof(f13139,plain,
! [X0] : add(add(X0,X0),multiply(add(X0,X0),additive_inverse(X0))) = additive_identity,
inference(paramodulation,[status(thm)],[f638,f12675]) ).
fof(f13140,plain,
! [X0] : multiply(add(X0,X0),add(additive_inverse(X0),add(X0,X0))) = additive_identity,
inference(forward_demodulation,[status(thm)],[f10210,f13139]) ).
fof(f13141,plain,
! [X0] : multiply(add(X0,X0),X0) = additive_identity,
inference(forward_demodulation,[status(thm)],[f4199,f13140]) ).
fof(f13142,plain,
! [X0] : add(X0,X0) = additive_identity,
inference(forward_demodulation,[status(thm)],[f638,f13141]) ).
fof(f13499,plain,
! [X0] : additive_inverse(X0) = add(X0,additive_identity),
inference(paramodulation,[status(thm)],[f13142,f4111]) ).
fof(f13500,plain,
! [X0] : additive_inverse(X0) = X0,
inference(forward_demodulation,[status(thm)],[f110,f13499]) ).
fof(f13692,plain,
! [X0,X1] : add(X0,add(X0,X1)) = additive_inverse(X1),
inference(backward_demodulation,[status(thm)],[f13500,f4533]) ).
fof(f13693,plain,
! [X0,X1] : add(X0,add(X0,X1)) = X1,
inference(forward_demodulation,[status(thm)],[f13500,f13692]) ).
fof(f15566,plain,
! [X0,X1] : sum(multiply(X0,X1),X1,multiply(add(X1,X0),X1)),
inference(resolution,[status(thm)],[f3730,f25]) ).
fof(f15745,plain,
! [X0,X1,X2] : add(add(X0,X1),X2) = add(X0,add(X2,X1)),
inference(resolution,[status(thm)],[f5278,f107]) ).
fof(f16246,plain,
! [X0,X1,X2] : add(X0,add(X1,X2)) = add(add(X0,X1),X2),
inference(resolution,[status(thm)],[f5533,f108]) ).
fof(f16908,plain,
! [X0,X1] : product(add(X0,X1),X0,add(X0,multiply(X1,X0))),
inference(resolution,[status(thm)],[f4754,f98]) ).
fof(f22117,plain,
! [X0,X1] : add(multiply(X0,X1),X1) = multiply(add(X1,X0),X1),
inference(resolution,[status(thm)],[f15566,f108]) ).
fof(f22118,plain,
! [X0,X1] : add(X0,multiply(X1,X0)) = multiply(add(X0,X1),X0),
inference(forward_demodulation,[status(thm)],[f260,f22117]) ).
fof(f32805,plain,
! [X0,X1,X2] : add(X0,add(X1,X2)) = add(X0,add(X2,X1)),
inference(forward_demodulation,[status(thm)],[f15745,f16246]) ).
fof(f33928,plain,
! [X0,X1] : product(add(add(X0,X1),X1),add(X0,X1),add(add(X0,X1),multiply(X1,add(X1,X0)))),
inference(paramodulation,[status(thm)],[f11972,f16908]) ).
fof(f33929,plain,
! [X0,X1] : product(add(X0,add(X1,X1)),add(X0,X1),add(add(X0,X1),multiply(X1,add(X1,X0)))),
inference(forward_demodulation,[status(thm)],[f15745,f33928]) ).
fof(f33930,plain,
! [X0,X1] : product(add(X0,additive_identity),add(X0,X1),add(add(X0,X1),multiply(X1,add(X1,X0)))),
inference(forward_demodulation,[status(thm)],[f13142,f33929]) ).
fof(f33931,plain,
! [X0,X1] : product(X0,add(X0,X1),add(add(X0,X1),multiply(X1,add(X1,X0)))),
inference(forward_demodulation,[status(thm)],[f110,f33930]) ).
fof(f33932,plain,
! [X0,X1] : product(X0,add(X0,X1),add(X0,add(multiply(X1,add(X1,X0)),X1))),
inference(forward_demodulation,[status(thm)],[f15745,f33931]) ).
fof(f33933,plain,
! [X0,X1] : product(X0,add(X0,X1),add(X0,add(X1,multiply(X1,add(X1,X0))))),
inference(forward_demodulation,[status(thm)],[f32805,f33932]) ).
fof(f33934,plain,
! [X0,X1] : product(X0,add(X0,X1),add(X0,multiply(X1,add(add(X1,X0),X1)))),
inference(forward_demodulation,[status(thm)],[f10210,f33933]) ).
fof(f33935,plain,
! [X0,X1] : product(X0,add(X0,X1),add(X0,multiply(X1,add(X1,add(X1,X0))))),
inference(forward_demodulation,[status(thm)],[f11972,f33934]) ).
fof(f33936,plain,
! [X0,X1] : product(X0,add(X0,X1),add(X0,multiply(X1,X0))),
inference(forward_demodulation,[status(thm)],[f13693,f33935]) ).
fof(f48095,plain,
! [X0,X1] : product(X0,add(X0,X1),multiply(add(X0,X1),X0)),
inference(forward_demodulation,[status(thm)],[f22118,f33936]) ).
fof(f48207,plain,
! [X0,X1] : product(X0,X1,multiply(add(X0,add(X0,X1)),X0)),
inference(paramodulation,[status(thm)],[f13693,f48095]) ).
fof(f48208,plain,
! [X0,X1] : product(X0,X1,multiply(X1,X0)),
inference(forward_demodulation,[status(thm)],[f13693,f48207]) ).
fof(f48448,plain,
product(b,a,c),
inference(paramodulation,[status(thm)],[f82,f48208]) ).
fof(f48449,plain,
$false,
inference(forward_subsumption_resolution,[status(thm)],[f48448,f56]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.10/0.12 % Problem : RNG008-2 : TPTP v8.1.2. Released v1.0.0.
% 0.10/0.12 % Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.12/0.34 % Computer : n024.cluster.edu
% 0.12/0.34 % Model : x86_64 x86_64
% 0.12/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.34 % Memory : 8042.1875MB
% 0.12/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.34 % CPULimit : 300
% 0.12/0.34 % WCLimit : 300
% 0.12/0.34 % DateTime : Mon Apr 29 22:16:51 EDT 2024
% 0.12/0.34 % CPUTime :
% 0.12/0.34 % Drodi V3.6.0
% 24.86/3.48 % Refutation found
% 24.86/3.48 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 24.86/3.48 % SZS output start CNFRefutation for theBenchmark
% See solution above
% 25.08/3.54 % Elapsed time: 3.191487 seconds
% 25.08/3.54 % CPU time: 25.225169 seconds
% 25.08/3.54 % Total memory used: 256.680 MB
% 25.08/3.54 % Net memory used: 238.235 MB
%------------------------------------------------------------------------------