TSTP Solution File: RNG001-3 by Drodi---3.5.1
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Drodi---3.5.1
% Problem : RNG001-3 : TPTP v8.1.2. Released v1.0.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% Computer : n023.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 12:32:32 EDT 2023
% Result : Unsatisfiable 17.59s 2.58s
% Output : CNFRefutation 17.59s
% Verified :
% SZS Type : Refutation
% Derivation depth : 25
% Number of leaves : 8
% Syntax : Number of formulae : 46 ( 12 unt; 0 def)
% Number of atoms : 138 ( 0 equ)
% Maximal formula atoms : 5 ( 3 avg)
% Number of connectives : 186 ( 94 ~; 92 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 14 ( 8 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 3 ( 2 usr; 1 prp; 0-3 aty)
% Number of functors : 4 ( 4 usr; 2 con; 0-2 aty)
% Number of variables : 189 (; 189 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
! [X] : sum(additive_identity,X,X),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f2,axiom,
! [X] : sum(additive_inverse(X),X,additive_identity),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f3,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/sandbox/benchmark/theBenchmark.p') ).
fof(f4,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/sandbox/benchmark/theBenchmark.p') ).
fof(f5,axiom,
! [X,Y] : product(X,Y,multiply(X,Y)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f6,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/sandbox/benchmark/theBenchmark.p') ).
fof(f7,axiom,
! [X,Y,V1,Z,V2,V3,V4] :
( ~ product(X,Y,V1)
| ~ product(X,Z,V2)
| ~ sum(Y,Z,V3)
| ~ sum(V1,V2,V4)
| product(X,V3,V4) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f8,negated_conjecture,
~ product(a,additive_identity,additive_identity),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f9,plain,
! [X0] : sum(additive_identity,X0,X0),
inference(cnf_transformation,[status(esa)],[f1]) ).
fof(f10,plain,
! [X0] : sum(additive_inverse(X0),X0,additive_identity),
inference(cnf_transformation,[status(esa)],[f2]) ).
fof(f11,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)],[f3]) ).
fof(f12,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)],[f11]) ).
fof(f13,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)],[f4]) ).
fof(f14,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)],[f13]) ).
fof(f15,plain,
! [X0,X1] : product(X0,X1,multiply(X0,X1)),
inference(cnf_transformation,[status(esa)],[f5]) ).
fof(f16,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)],[f6]) ).
fof(f17,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)],[f16]) ).
fof(f18,plain,
! [X,V3,V4] :
( ! [V1,V2] :
( ! [Y,Z] :
( ~ product(X,Y,V1)
| ~ product(X,Z,V2)
| ~ sum(Y,Z,V3) )
| ~ sum(V1,V2,V4) )
| product(X,V3,V4) ),
inference(miniscoping,[status(esa)],[f7]) ).
fof(f19,plain,
! [X0,X1,X2,X3,X4,X5,X6] :
( ~ product(X0,X1,X2)
| ~ product(X0,X3,X4)
| ~ sum(X1,X3,X5)
| ~ sum(X2,X4,X6)
| product(X0,X5,X6) ),
inference(cnf_transformation,[status(esa)],[f18]) ).
fof(f20,plain,
~ product(a,additive_identity,additive_identity),
inference(cnf_transformation,[status(esa)],[f8]) ).
fof(f21,plain,
! [X0,X1,X2,X3,X4,X5] :
( ~ product(X0,X1,X2)
| ~ sum(X1,X3,X4)
| ~ sum(X2,multiply(X0,X3),X5)
| product(X0,X4,X5) ),
inference(resolution,[status(thm)],[f15,f19]) ).
fof(f25,plain,
! [X0,X1,X2,X3,X4,X5] :
( ~ product(X0,X1,X2)
| ~ sum(X1,X3,X4)
| ~ product(X0,X4,X5)
| sum(X2,multiply(X0,X3),X5) ),
inference(resolution,[status(thm)],[f15,f17]) ).
fof(f26,plain,
! [X0,X1,X2,X3,X4] :
( ~ sum(X0,X1,X2)
| ~ sum(multiply(X3,X0),multiply(X3,X1),X4)
| product(X3,X2,X4) ),
inference(resolution,[status(thm)],[f21,f15]) ).
fof(f30,plain,
! [X0,X1,X2,X3,X4,X5,X6] :
( ~ product(X0,X1,multiply(X0,X2))
| ~ sum(X1,X3,X4)
| ~ product(X0,X4,X5)
| ~ sum(X2,X3,X6)
| product(X0,X6,X5) ),
inference(resolution,[status(thm)],[f25,f26]) ).
fof(f40,plain,
! [X0,X1,X2,X3,X4,X5] :
( ~ sum(X0,X1,X2)
| ~ product(X3,X2,X4)
| ~ sum(X0,X1,X5)
| product(X3,X5,X4) ),
inference(resolution,[status(thm)],[f30,f15]) ).
fof(f47,plain,
! [X0,X1,X2,X3,X4,X5,X6,X7] :
( ~ sum(X0,X1,multiply(X2,X3))
| ~ sum(X1,multiply(X2,X4),X5)
| ~ sum(X0,X5,X6)
| ~ sum(X3,X4,X7)
| product(X2,X7,X6) ),
inference(resolution,[status(thm)],[f14,f26]) ).
fof(f50,plain,
! [X0,X1,X2,X3,X4] :
( ~ sum(X0,X1,X2)
| ~ sum(X0,X1,X3)
| product(X4,X3,multiply(X4,X2)) ),
inference(resolution,[status(thm)],[f40,f15]) ).
fof(f52,plain,
! [X0,X1,X2] :
( ~ sum(additive_identity,X0,X1)
| product(X2,X0,multiply(X2,X1)) ),
inference(resolution,[status(thm)],[f50,f9]) ).
fof(f62,plain,
! [X0,X1,X2,X3,X4,X5] :
( product(X0,X1,multiply(X0,X2))
| ~ sum(X3,X4,additive_identity)
| ~ sum(X4,X1,X5)
| ~ sum(X3,X5,X2) ),
inference(resolution,[status(thm)],[f52,f14]) ).
fof(f70,plain,
! [X0,X1,X2,X3,X4] :
( product(X0,X1,multiply(X0,X2))
| ~ sum(X3,X1,X4)
| ~ sum(additive_inverse(X3),X4,X2) ),
inference(resolution,[status(thm)],[f62,f10]) ).
fof(f75,plain,
! [X0,X1,X2] :
( product(X0,X1,multiply(X0,additive_identity))
| ~ sum(X2,X1,X2) ),
inference(resolution,[status(thm)],[f70,f10]) ).
fof(f86,plain,
! [X0,X1,X2,X3,X4,X5] :
( product(X0,X1,multiply(X0,additive_identity))
| ~ sum(X2,X3,X4)
| ~ sum(X3,X5,X1)
| ~ sum(X4,X5,X2) ),
inference(resolution,[status(thm)],[f75,f12]) ).
fof(f146,plain,
! [X0,X1,X2,X3,X4,X5] :
( ~ sum(multiply(X0,X1),multiply(X0,X2),X3)
| ~ sum(additive_identity,X3,X4)
| ~ sum(X1,X2,X5)
| product(X0,X5,X4) ),
inference(resolution,[status(thm)],[f47,f9]) ).
fof(f296,plain,
! [X0,X1] :
( product(X0,X1,multiply(X0,additive_identity))
| ~ sum(X1,additive_identity,additive_identity) ),
inference(resolution,[status(thm)],[f86,f9]) ).
fof(f316,plain,
! [X0] : product(X0,additive_inverse(additive_identity),multiply(X0,additive_identity)),
inference(resolution,[status(thm)],[f296,f10]) ).
fof(f330,plain,
! [X0,X1,X2,X3,X4] :
( ~ product(X0,X1,X2)
| ~ product(X0,X3,X4)
| ~ sum(X1,X3,additive_inverse(additive_identity))
| sum(X2,X4,multiply(X0,additive_identity)) ),
inference(resolution,[status(thm)],[f316,f17]) ).
fof(f3041,plain,
! [X0,X1,X2] :
( ~ product(X0,additive_identity,X1)
| ~ product(X0,additive_inverse(additive_identity),X2)
| sum(X1,X2,multiply(X0,additive_identity)) ),
inference(resolution,[status(thm)],[f330,f9]) ).
fof(f3057,plain,
! [X0,X1] :
( ~ product(X0,additive_identity,X1)
| sum(X1,multiply(X0,additive_identity),multiply(X0,additive_identity)) ),
inference(resolution,[status(thm)],[f3041,f316]) ).
fof(f3084,plain,
! [X0] : sum(multiply(X0,additive_identity),multiply(X0,additive_identity),multiply(X0,additive_identity)),
inference(resolution,[status(thm)],[f3057,f15]) ).
fof(f3093,plain,
! [X0,X1,X2] :
( ~ sum(additive_identity,multiply(X0,additive_identity),X1)
| ~ sum(additive_identity,additive_identity,X2)
| product(X0,X2,X1) ),
inference(resolution,[status(thm)],[f3084,f146]) ).
fof(f3317,plain,
! [X0,X1] :
( ~ sum(additive_identity,multiply(X0,additive_identity),X1)
| product(X0,additive_identity,X1) ),
inference(resolution,[status(thm)],[f3093,f9]) ).
fof(f3325,plain,
! [X0,X1,X2,X3,X4] :
( product(X0,additive_identity,X1)
| ~ sum(X2,X3,additive_identity)
| ~ sum(X3,multiply(X0,additive_identity),X4)
| ~ sum(X2,X4,X1) ),
inference(resolution,[status(thm)],[f3317,f14]) ).
fof(f4439,plain,
! [X0,X1,X2,X3] :
( product(X0,additive_identity,X1)
| ~ sum(X2,multiply(X0,additive_identity),X3)
| ~ sum(additive_inverse(X2),X3,X1) ),
inference(resolution,[status(thm)],[f3325,f10]) ).
fof(f4446,plain,
! [X0,X1] :
( product(X0,additive_identity,additive_identity)
| ~ sum(X1,multiply(X0,additive_identity),X1) ),
inference(resolution,[status(thm)],[f4439,f10]) ).
fof(f4465,plain,
! [X0] : product(X0,additive_identity,additive_identity),
inference(resolution,[status(thm)],[f4446,f3084]) ).
fof(f4472,plain,
$false,
inference(backward_subsumption_resolution,[status(thm)],[f20,f4465]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : RNG001-3 : TPTP v8.1.2. Released v1.0.0.
% 0.03/0.13 % Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.12/0.34 % Computer : n023.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 : Tue May 30 10:54:08 EDT 2023
% 0.12/0.34 % CPUTime :
% 0.12/0.35 % Drodi V3.5.1
% 17.59/2.58 % Refutation found
% 17.59/2.58 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 17.59/2.58 % SZS output start CNFRefutation for theBenchmark
% See solution above
% 17.59/2.61 % Elapsed time: 2.252738 seconds
% 17.59/2.61 % CPU time: 17.810871 seconds
% 17.59/2.61 % Memory used: 125.411 MB
%------------------------------------------------------------------------------