TSTP Solution File: RNG008-5 by Drodi---3.5.1
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Drodi---3.5.1
% Problem : RNG008-5 : TPTP v8.1.2. Released v1.0.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% Computer : n009.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 12:32:35 EDT 2023
% Result : Unsatisfiable 41.02s 5.58s
% Output : CNFRefutation 41.45s
% Verified :
% SZS Type : Refutation
% Derivation depth : 37
% Number of leaves : 22
% Syntax : Number of formulae : 170 ( 102 unt; 0 def)
% Number of atoms : 298 ( 66 equ)
% Maximal formula atoms : 5 ( 1 avg)
% Number of connectives : 258 ( 130 ~; 128 |; 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 : 397 (; 397 !; 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(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(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(f11,axiom,
! [X,Y,U,Z,V,W] :
( ~ product(X,Y,U)
| ~ product(Y,Z,V)
| ~ product(X,V,W)
| product(U,Z,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(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(f19,axiom,
! [X] : sum(additive_inverse(additive_inverse(X)),additive_identity,X),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f20,axiom,
! [X] : product(X,additive_identity,additive_identity),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f21,axiom,
! [X] : product(additive_identity,X,additive_identity),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f22,axiom,
! [X,Y] : sum(additive_inverse(X),additive_inverse(Y),additive_inverse(add(X,Y))),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f23,axiom,
! [X,Y] : product(X,additive_inverse(Y),additive_inverse(multiply(X,Y))),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f24,hypothesis,
! [X] : product(X,X,X),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f25,hypothesis,
product(a,b,c),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f26,negated_conjecture,
~ product(b,a,c),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f27,plain,
! [X0] : sum(additive_identity,X0,X0),
inference(cnf_transformation,[status(esa)],[f1]) ).
fof(f28,plain,
! [X0] : sum(X0,additive_identity,X0),
inference(cnf_transformation,[status(esa)],[f2]) ).
fof(f29,plain,
! [X0,X1] : product(X0,X1,multiply(X0,X1)),
inference(cnf_transformation,[status(esa)],[f3]) ).
fof(f30,plain,
! [X0,X1] : sum(X0,X1,add(X0,X1)),
inference(cnf_transformation,[status(esa)],[f4]) ).
fof(f32,plain,
! [X0] : sum(X0,additive_inverse(X0),additive_identity),
inference(cnf_transformation,[status(esa)],[f6]) ).
fof(f33,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(f34,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)],[f33]) ).
fof(f35,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(f36,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)],[f35]) ).
fof(f37,plain,
! [X0,X1,X2] :
( ~ sum(X0,X1,X2)
| sum(X1,X0,X2) ),
inference(cnf_transformation,[status(esa)],[f9]) ).
fof(f38,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(f39,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)],[f38]) ).
fof(f40,plain,
! [U,Z,W] :
( ! [X,V] :
( ! [Y] :
( ~ product(X,Y,U)
| ~ product(Y,Z,V) )
| ~ product(X,V,W) )
| product(U,Z,W) ),
inference(miniscoping,[status(esa)],[f11]) ).
fof(f41,plain,
! [X0,X1,X2,X3,X4,X5] :
( ~ product(X0,X1,X2)
| ~ product(X1,X3,X4)
| ~ product(X0,X4,X5)
| product(X2,X3,X5) ),
inference(cnf_transformation,[status(esa)],[f40]) ).
fof(f42,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(f43,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)],[f42]) ).
fof(f46,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(f47,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)],[f46]) ).
fof(f50,plain,
! [U,V] :
( ! [X,Y] :
( ~ sum(X,Y,U)
| ~ sum(X,Y,V) )
| U = V ),
inference(miniscoping,[status(esa)],[f16]) ).
fof(f51,plain,
! [X0,X1,X2,X3] :
( ~ sum(X0,X1,X2)
| ~ sum(X0,X1,X3)
| X2 = X3 ),
inference(cnf_transformation,[status(esa)],[f50]) ).
fof(f52,plain,
! [U,V] :
( ! [X,Y] :
( ~ product(X,Y,U)
| ~ product(X,Y,V) )
| U = V ),
inference(miniscoping,[status(esa)],[f17]) ).
fof(f53,plain,
! [X0,X1,X2,X3] :
( ~ product(X0,X1,X2)
| ~ product(X0,X1,X3)
| X2 = X3 ),
inference(cnf_transformation,[status(esa)],[f52]) ).
fof(f55,plain,
! [X0] : sum(additive_inverse(additive_inverse(X0)),additive_identity,X0),
inference(cnf_transformation,[status(esa)],[f19]) ).
fof(f56,plain,
! [X0] : product(X0,additive_identity,additive_identity),
inference(cnf_transformation,[status(esa)],[f20]) ).
fof(f57,plain,
! [X0] : product(additive_identity,X0,additive_identity),
inference(cnf_transformation,[status(esa)],[f21]) ).
fof(f58,plain,
! [X0,X1] : sum(additive_inverse(X0),additive_inverse(X1),additive_inverse(add(X0,X1))),
inference(cnf_transformation,[status(esa)],[f22]) ).
fof(f59,plain,
! [X0,X1] : product(X0,additive_inverse(X1),additive_inverse(multiply(X0,X1))),
inference(cnf_transformation,[status(esa)],[f23]) ).
fof(f60,plain,
! [X0] : product(X0,X0,X0),
inference(cnf_transformation,[status(esa)],[f24]) ).
fof(f61,plain,
product(a,b,c),
inference(cnf_transformation,[status(esa)],[f25]) ).
fof(f62,plain,
~ product(b,a,c),
inference(cnf_transformation,[status(esa)],[f26]) ).
fof(f63,plain,
! [X0] :
( ~ product(a,b,X0)
| c = X0 ),
inference(resolution,[status(thm)],[f53,f61]) ).
fof(f64,plain,
! [X0,X1] :
( ~ product(X0,X0,X1)
| X0 = X1 ),
inference(resolution,[status(thm)],[f53,f60]) ).
fof(f65,plain,
! [X0,X1,X2] :
( ~ product(b,X0,X1)
| ~ product(c,X0,X2)
| product(a,X1,X2) ),
inference(resolution,[status(thm)],[f39,f61]) ).
fof(f66,plain,
! [X0,X1,X2,X3] :
( ~ product(X0,X1,X2)
| ~ product(X0,X1,X3)
| product(X0,X2,X3) ),
inference(resolution,[status(thm)],[f39,f60]) ).
fof(f67,plain,
! [X0] :
( ~ product(a,b,X0)
| product(a,c,X0) ),
inference(resolution,[status(thm)],[f66,f61]) ).
fof(f68,plain,
product(a,c,c),
inference(resolution,[status(thm)],[f67,f61]) ).
fof(f70,plain,
! [X0] :
( ~ product(a,c,X0)
| c = X0 ),
inference(resolution,[status(thm)],[f68,f53]) ).
fof(f71,plain,
! [X0] :
( ~ product(c,b,X0)
| product(a,b,X0) ),
inference(resolution,[status(thm)],[f65,f60]) ).
fof(f84,plain,
! [X0,X1] :
( ~ product(X0,additive_identity,X1)
| additive_identity = X1 ),
inference(resolution,[status(thm)],[f56,f53]) ).
fof(f89,plain,
! [X0,X1] :
( ~ product(additive_identity,X0,X1)
| additive_identity = X1 ),
inference(resolution,[status(thm)],[f57,f53]) ).
fof(f91,plain,
product(a,b,multiply(c,b)),
inference(resolution,[status(thm)],[f29,f71]) ).
fof(f93,plain,
c = multiply(a,c),
inference(resolution,[status(thm)],[f29,f70]) ).
fof(f95,plain,
c = multiply(a,b),
inference(resolution,[status(thm)],[f29,f63]) ).
fof(f99,plain,
! [X0,X1,X2,X3,X4] :
( ~ product(X0,X1,X2)
| ~ product(X3,X2,X4)
| product(multiply(X3,X0),X1,X4) ),
inference(resolution,[status(thm)],[f29,f41]) ).
fof(f102,plain,
! [X0] : X0 = multiply(X0,X0),
inference(resolution,[status(thm)],[f29,f64]) ).
fof(f103,plain,
! [X0,X1,X2] :
( ~ product(X0,X1,X2)
| multiply(X0,X1) = X2 ),
inference(resolution,[status(thm)],[f29,f53]) ).
fof(f107,plain,
! [X0] : additive_identity = multiply(X0,additive_identity),
inference(resolution,[status(thm)],[f84,f29]) ).
fof(f109,plain,
! [X0] : additive_identity = multiply(additive_identity,X0),
inference(resolution,[status(thm)],[f89,f29]) ).
fof(f115,plain,
! [X0,X1,X2,X3,X4] :
( ~ sum(X0,X1,X2)
| ~ sum(add(X3,X0),X1,X4)
| sum(X3,X2,X4) ),
inference(resolution,[status(thm)],[f34,f30]) ).
fof(f118,plain,
! [X0,X1,X2,X3] :
( ~ sum(additive_inverse(X0),X1,X2)
| ~ sum(X0,X2,X3)
| sum(additive_identity,X1,X3) ),
inference(resolution,[status(thm)],[f36,f32]) ).
fof(f120,plain,
! [X0,X1,X2,X3,X4] :
( ~ sum(X0,X1,X2)
| ~ sum(X3,X2,X4)
| sum(add(X3,X0),X1,X4) ),
inference(resolution,[status(thm)],[f36,f30]) ).
fof(f125,plain,
! [X0,X1] : sum(X0,X1,add(X1,X0)),
inference(resolution,[status(thm)],[f37,f30]) ).
fof(f133,plain,
c = multiply(c,b),
inference(resolution,[status(thm)],[f91,f63]) ).
fof(f347,plain,
! [X0,X1,X2,X3] :
( ~ product(X0,multiply(X1,X2),X3)
| product(multiply(X0,X1),X2,X3) ),
inference(resolution,[status(thm)],[f99,f29]) ).
fof(f501,plain,
! [X0] : sum(additive_identity,additive_inverse(additive_inverse(X0)),X0),
inference(resolution,[status(thm)],[f55,f37]) ).
fof(f510,plain,
! [X0,X1] :
( ~ sum(additive_identity,X0,X1)
| X0 = X1 ),
inference(resolution,[status(thm)],[f51,f27]) ).
fof(f513,plain,
! [X0,X1,X2] :
( ~ sum(X0,X1,X2)
| add(X1,X0) = X2 ),
inference(resolution,[status(thm)],[f51,f125]) ).
fof(f514,plain,
! [X0,X1,X2] :
( ~ sum(X0,X1,X2)
| add(X0,X1) = X2 ),
inference(resolution,[status(thm)],[f51,f30]) ).
fof(f515,plain,
! [X0] : additive_inverse(additive_inverse(X0)) = X0,
inference(resolution,[status(thm)],[f510,f501]) ).
fof(f517,plain,
! [X0] : X0 = add(X0,additive_identity),
inference(resolution,[status(thm)],[f510,f125]) ).
fof(f558,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)],[f43,f60]) ).
fof(f576,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)],[f47,f60]) ).
fof(f751,plain,
! [X0,X1,X2,X3] :
( ~ sum(X0,X1,X2)
| ~ product(X0,X2,X3)
| sum(X0,multiply(X0,X1),X3) ),
inference(resolution,[status(thm)],[f558,f29]) ).
fof(f986,plain,
! [X0,X1,X2,X3] :
( ~ sum(X0,X1,X2)
| ~ product(X2,X0,X3)
| sum(X0,multiply(X1,X0),X3) ),
inference(resolution,[status(thm)],[f576,f29]) ).
fof(f1146,plain,
! [X0,X1,X2] : product(multiply(X0,X1),X2,multiply(X0,multiply(X1,X2))),
inference(resolution,[status(thm)],[f347,f29]) ).
fof(f1177,plain,
! [X0,X1] : add(X0,X1) = add(X1,X0),
inference(resolution,[status(thm)],[f513,f30]) ).
fof(f1304,plain,
! [X0] : product(X0,additive_inverse(X0),additive_inverse(X0)),
inference(paramodulation,[status(thm)],[f102,f59]) ).
fof(f1340,plain,
! [X0] : product(additive_inverse(X0),X0,additive_inverse(additive_inverse(X0))),
inference(paramodulation,[status(thm)],[f515,f1304]) ).
fof(f1341,plain,
! [X0] : product(additive_inverse(X0),X0,X0),
inference(forward_demodulation,[status(thm)],[f515,f1340]) ).
fof(f1363,plain,
! [X0] : multiply(additive_inverse(X0),X0) = X0,
inference(resolution,[status(thm)],[f1341,f103]) ).
fof(f1458,plain,
! [X0,X1] : sum(additive_inverse(X0),additive_inverse(X1),additive_inverse(add(X1,X0))),
inference(resolution,[status(thm)],[f58,f37]) ).
fof(f1955,plain,
! [X0,X1,X2] : multiply(multiply(X0,X1),X2) = multiply(X0,multiply(X1,X2)),
inference(resolution,[status(thm)],[f1146,f103]) ).
fof(f1960,plain,
! [X0,X1] : multiply(X0,X1) = multiply(X0,multiply(X1,multiply(X0,X1))),
inference(resolution,[status(thm)],[f1146,f64]) ).
fof(f2001,plain,
! [X0,X1] : product(multiply(multiply(X0,X1),X0),X1,multiply(X0,X1)),
inference(paramodulation,[status(thm)],[f102,f1146]) ).
fof(f3720,plain,
! [X0,X1,X2] :
( ~ product(X0,add(X1,X0),X2)
| sum(X0,multiply(X0,X1),X2) ),
inference(resolution,[status(thm)],[f751,f125]) ).
fof(f4068,plain,
! [X0,X1,X2,X3] :
( ~ sum(add(X0,additive_inverse(X1)),additive_inverse(X2),X3)
| sum(X0,additive_inverse(add(X2,X1)),X3) ),
inference(resolution,[status(thm)],[f115,f1458]) ).
fof(f4069,plain,
! [X0,X1,X2,X3] :
( ~ sum(add(X0,additive_inverse(X1)),additive_inverse(X2),X3)
| sum(X0,additive_inverse(add(X1,X2)),X3) ),
inference(resolution,[status(thm)],[f115,f58]) ).
fof(f4985,plain,
! [X0,X1] : product(multiply(X0,multiply(X1,X0)),X1,multiply(X0,X1)),
inference(forward_demodulation,[status(thm)],[f1955,f2001]) ).
fof(f6793,plain,
! [X0,X1,X2] :
( ~ product(additive_inverse(add(X0,X1)),additive_inverse(X1),X2)
| sum(additive_inverse(X1),multiply(additive_inverse(X0),additive_inverse(X1)),X2) ),
inference(resolution,[status(thm)],[f986,f1458]) ).
fof(f6801,plain,
! [X0,X1] :
( ~ product(additive_identity,X0,X1)
| sum(X0,multiply(additive_inverse(X0),X0),X1) ),
inference(resolution,[status(thm)],[f986,f32]) ).
fof(f6802,plain,
! [X0,X1] :
( ~ product(additive_identity,X0,X1)
| sum(X0,X0,X1) ),
inference(forward_demodulation,[status(thm)],[f1363,f6801]) ).
fof(f6813,plain,
! [X0] : sum(X0,X0,additive_identity),
inference(resolution,[status(thm)],[f6802,f57]) ).
fof(f6845,plain,
! [X0,X1] :
( ~ sum(X0,additive_identity,X1)
| sum(additive_identity,additive_inverse(X0),X1) ),
inference(resolution,[status(thm)],[f6813,f118]) ).
fof(f6859,plain,
! [X0,X1,X2] :
( ~ sum(X0,additive_identity,X1)
| sum(add(X0,X2),X2,X1) ),
inference(resolution,[status(thm)],[f6813,f120]) ).
fof(f6869,plain,
! [X0] : add(X0,X0) = additive_identity,
inference(resolution,[status(thm)],[f6813,f514]) ).
fof(f7377,plain,
! [X0] : sum(additive_identity,additive_inverse(X0),X0),
inference(resolution,[status(thm)],[f6845,f28]) ).
fof(f7386,plain,
! [X0] : additive_inverse(X0) = X0,
inference(resolution,[status(thm)],[f7377,f510]) ).
fof(f7673,plain,
! [X0,X1] : sum(add(X0,X1),X1,X0),
inference(resolution,[status(thm)],[f6859,f28]) ).
fof(f7701,plain,
! [X0,X1] : add(add(X0,X1),X1) = X0,
inference(resolution,[status(thm)],[f7673,f514]) ).
fof(f7702,plain,
! [X0,X1] : add(X0,add(X1,X0)) = X1,
inference(forward_demodulation,[status(thm)],[f1177,f7701]) ).
fof(f7718,plain,
! [X0,X1] : add(add(X0,X1),X0) = X1,
inference(paramodulation,[status(thm)],[f7702,f7702]) ).
fof(f7719,plain,
! [X0,X1] : add(X0,add(X0,X1)) = X1,
inference(forward_demodulation,[status(thm)],[f1177,f7718]) ).
fof(f10411,plain,
! [X0,X1] : sum(X0,multiply(X0,X1),multiply(X0,add(X1,X0))),
inference(resolution,[status(thm)],[f3720,f29]) ).
fof(f10507,plain,
! [X0,X1] : add(X0,multiply(X0,X1)) = multiply(X0,add(X1,X0)),
inference(resolution,[status(thm)],[f10411,f514]) ).
fof(f10560,plain,
! [X0,X1] : sum(X0,multiply(X0,X1),multiply(X0,add(X0,X1))),
inference(paramodulation,[status(thm)],[f1177,f10411]) ).
fof(f10594,plain,
add(c,c) = multiply(c,add(b,c)),
inference(paramodulation,[status(thm)],[f133,f10507]) ).
fof(f10595,plain,
additive_identity = multiply(c,add(b,c)),
inference(forward_demodulation,[status(thm)],[f6869,f10594]) ).
fof(f10686,plain,
! [X0,X1] : add(multiply(X0,X1),multiply(X0,add(X1,X0))) = X0,
inference(paramodulation,[status(thm)],[f10507,f7702]) ).
fof(f10796,plain,
! [X0] : multiply(additive_identity,X0) = multiply(c,multiply(add(b,c),X0)),
inference(paramodulation,[status(thm)],[f10595,f1955]) ).
fof(f10797,plain,
! [X0] : additive_identity = multiply(c,multiply(add(b,c),X0)),
inference(forward_demodulation,[status(thm)],[f109,f10796]) ).
fof(f11134,plain,
! [X0,X1] : add(X0,multiply(X0,X1)) = multiply(X0,add(X0,X1)),
inference(resolution,[status(thm)],[f10560,f514]) ).
fof(f11135,plain,
! [X0,X1] : multiply(X0,add(X1,X0)) = multiply(X0,add(X0,X1)),
inference(forward_demodulation,[status(thm)],[f10507,f11134]) ).
fof(f13451,plain,
multiply(add(b,c),c) = multiply(add(b,c),additive_identity),
inference(paramodulation,[status(thm)],[f10797,f1960]) ).
fof(f13452,plain,
multiply(add(b,c),c) = additive_identity,
inference(forward_demodulation,[status(thm)],[f107,f13451]) ).
fof(f13636,plain,
product(add(b,c),c,additive_identity),
inference(paramodulation,[status(thm)],[f13452,f29]) ).
fof(f18978,plain,
! [X0,X1,X2,X3] :
( ~ sum(add(X0,X1),additive_inverse(X2),X3)
| sum(X0,additive_inverse(add(X2,X1)),X3) ),
inference(forward_demodulation,[status(thm)],[f7386,f4068]) ).
fof(f18979,plain,
! [X0,X1,X2,X3] :
( ~ sum(add(X0,X1),X2,X3)
| sum(X0,additive_inverse(add(X2,X1)),X3) ),
inference(forward_demodulation,[status(thm)],[f7386,f18978]) ).
fof(f18980,plain,
! [X0,X1,X2,X3] :
( ~ sum(add(X0,X1),X2,X3)
| sum(X0,add(X2,X1),X3) ),
inference(forward_demodulation,[status(thm)],[f7386,f18979]) ).
fof(f19013,plain,
! [X0,X1,X2] : sum(X0,add(X1,X2),add(X1,add(X0,X2))),
inference(resolution,[status(thm)],[f18980,f125]) ).
fof(f19026,plain,
! [X0,X1,X2,X3] :
( ~ sum(add(X0,X1),additive_inverse(X2),X3)
| sum(X0,additive_inverse(add(X1,X2)),X3) ),
inference(forward_demodulation,[status(thm)],[f7386,f4069]) ).
fof(f19027,plain,
! [X0,X1,X2,X3] :
( ~ sum(add(X0,X1),X2,X3)
| sum(X0,additive_inverse(add(X1,X2)),X3) ),
inference(forward_demodulation,[status(thm)],[f7386,f19026]) ).
fof(f19028,plain,
! [X0,X1,X2,X3] :
( ~ sum(add(X0,X1),X2,X3)
| sum(X0,add(X1,X2),X3) ),
inference(forward_demodulation,[status(thm)],[f7386,f19027]) ).
fof(f19052,plain,
! [X0,X1,X2] : sum(X0,add(X1,X2),add(add(X0,X1),X2)),
inference(resolution,[status(thm)],[f19028,f30]) ).
fof(f20206,plain,
! [X0,X1,X2] : add(add(X0,X1),X2) = add(X0,add(X2,X1)),
inference(resolution,[status(thm)],[f19013,f513]) ).
fof(f20726,plain,
! [X0,X1,X2] : add(X0,add(X1,X2)) = add(add(X0,X1),X2),
inference(resolution,[status(thm)],[f19052,f514]) ).
fof(f29689,plain,
! [X0,X1,X2] : add(X0,add(X1,X2)) = add(X0,add(X2,X1)),
inference(forward_demodulation,[status(thm)],[f20206,f20726]) ).
fof(f54148,plain,
! [X0,X1,X2] :
( ~ product(add(X0,X1),additive_inverse(X1),X2)
| sum(additive_inverse(X1),multiply(additive_inverse(X0),additive_inverse(X1)),X2) ),
inference(forward_demodulation,[status(thm)],[f7386,f6793]) ).
fof(f54149,plain,
! [X0,X1,X2] :
( ~ product(add(X0,X1),X1,X2)
| sum(additive_inverse(X1),multiply(additive_inverse(X0),additive_inverse(X1)),X2) ),
inference(forward_demodulation,[status(thm)],[f7386,f54148]) ).
fof(f54150,plain,
! [X0,X1,X2] :
( ~ product(add(X0,X1),X1,X2)
| sum(X1,multiply(additive_inverse(X0),additive_inverse(X1)),X2) ),
inference(forward_demodulation,[status(thm)],[f7386,f54149]) ).
fof(f54151,plain,
! [X0,X1,X2] :
( ~ product(add(X0,X1),X1,X2)
| sum(X1,multiply(X0,additive_inverse(X1)),X2) ),
inference(forward_demodulation,[status(thm)],[f7386,f54150]) ).
fof(f54152,plain,
! [X0,X1,X2] :
( ~ product(add(X0,X1),X1,X2)
| sum(X1,multiply(X0,X1),X2) ),
inference(forward_demodulation,[status(thm)],[f7386,f54151]) ).
fof(f54153,plain,
sum(c,multiply(b,c),additive_identity),
inference(resolution,[status(thm)],[f54152,f13636]) ).
fof(f54156,plain,
! [X0,X1] : sum(X0,multiply(X1,X0),multiply(add(X1,X0),X0)),
inference(resolution,[status(thm)],[f54152,f29]) ).
fof(f54263,plain,
add(c,multiply(b,c)) = additive_identity,
inference(resolution,[status(thm)],[f54153,f514]) ).
fof(f54586,plain,
add(c,additive_identity) = multiply(b,c),
inference(paramodulation,[status(thm)],[f54263,f7719]) ).
fof(f54587,plain,
c = multiply(b,c),
inference(forward_demodulation,[status(thm)],[f517,f54586]) ).
fof(f56664,plain,
! [X0,X1] : add(X0,multiply(X1,X0)) = multiply(add(X1,X0),X0),
inference(resolution,[status(thm)],[f54156,f514]) ).
fof(f59226,plain,
add(c,c) = multiply(add(a,c),c),
inference(paramodulation,[status(thm)],[f93,f56664]) ).
fof(f59227,plain,
additive_identity = multiply(add(a,c),c),
inference(forward_demodulation,[status(thm)],[f6869,f59226]) ).
fof(f59268,plain,
! [X0,X1] : add(add(X0,X1),multiply(X1,add(X1,X0))) = multiply(add(X1,add(X0,X1)),add(X0,X1)),
inference(paramodulation,[status(thm)],[f11135,f56664]) ).
fof(f59269,plain,
! [X0,X1] : add(X0,add(multiply(X1,add(X1,X0)),X1)) = multiply(add(X1,add(X0,X1)),add(X0,X1)),
inference(forward_demodulation,[status(thm)],[f20206,f59268]) ).
fof(f59270,plain,
! [X0,X1] : add(X0,add(X1,multiply(X1,add(X1,X0)))) = multiply(add(X1,add(X0,X1)),add(X0,X1)),
inference(forward_demodulation,[status(thm)],[f29689,f59269]) ).
fof(f59271,plain,
! [X0,X1] : add(X0,multiply(X1,add(add(X1,X0),X1))) = multiply(add(X1,add(X0,X1)),add(X0,X1)),
inference(forward_demodulation,[status(thm)],[f10507,f59270]) ).
fof(f59272,plain,
! [X0,X1] : add(X0,multiply(X1,add(X1,add(X1,X0)))) = multiply(add(X1,add(X0,X1)),add(X0,X1)),
inference(forward_demodulation,[status(thm)],[f11135,f59271]) ).
fof(f59273,plain,
! [X0,X1] : add(X0,multiply(X1,X0)) = multiply(add(X1,add(X0,X1)),add(X0,X1)),
inference(forward_demodulation,[status(thm)],[f7719,f59272]) ).
fof(f59274,plain,
! [X0,X1] : multiply(add(X0,X1),X1) = multiply(add(X0,add(X1,X0)),add(X1,X0)),
inference(forward_demodulation,[status(thm)],[f56664,f59273]) ).
fof(f59275,plain,
! [X0,X1] : multiply(add(X0,X1),X1) = multiply(X1,add(X1,X0)),
inference(forward_demodulation,[status(thm)],[f7702,f59274]) ).
fof(f65440,plain,
additive_identity = multiply(c,add(c,a)),
inference(backward_demodulation,[status(thm)],[f59275,f59227]) ).
fof(f65441,plain,
additive_identity = multiply(c,add(a,c)),
inference(forward_demodulation,[status(thm)],[f11135,f65440]) ).
fof(f69760,plain,
add(multiply(c,a),additive_identity) = c,
inference(paramodulation,[status(thm)],[f65441,f10686]) ).
fof(f69761,plain,
multiply(c,a) = c,
inference(forward_demodulation,[status(thm)],[f517,f69760]) ).
fof(f70052,plain,
product(c,a,c),
inference(paramodulation,[status(thm)],[f69761,f29]) ).
fof(f71408,plain,
! [X0] :
( ~ product(c,a,X0)
| c = X0 ),
inference(resolution,[status(thm)],[f70052,f53]) ).
fof(f71833,plain,
product(multiply(b,c),a,multiply(b,a)),
inference(paramodulation,[status(thm)],[f95,f4985]) ).
fof(f71834,plain,
product(c,a,multiply(b,a)),
inference(forward_demodulation,[status(thm)],[f54587,f71833]) ).
fof(f74012,plain,
c = multiply(b,a),
inference(resolution,[status(thm)],[f71834,f71408]) ).
fof(f74178,plain,
product(b,a,c),
inference(paramodulation,[status(thm)],[f74012,f29]) ).
fof(f74179,plain,
$false,
inference(forward_subsumption_resolution,[status(thm)],[f74178,f62]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.09 % Problem : RNG008-5 : TPTP v8.1.2. Released v1.0.0.
% 0.00/0.10 % Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.09/0.30 % Computer : n009.cluster.edu
% 0.09/0.30 % Model : x86_64 x86_64
% 0.09/0.30 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.30 % Memory : 8042.1875MB
% 0.09/0.30 % OS : Linux 3.10.0-693.el7.x86_64
% 0.09/0.30 % CPULimit : 300
% 0.09/0.30 % WCLimit : 300
% 0.09/0.30 % DateTime : Tue May 30 10:32:31 EDT 2023
% 0.09/0.30 % CPUTime :
% 0.09/0.31 % Drodi V3.5.1
% 41.02/5.58 % Refutation found
% 41.02/5.58 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 41.02/5.58 % SZS output start CNFRefutation for theBenchmark
% See solution above
% 41.45/5.65 % Elapsed time: 5.329429 seconds
% 41.45/5.65 % CPU time: 41.519469 seconds
% 41.45/5.65 % Memory used: 219.134 MB
%------------------------------------------------------------------------------