TSTP Solution File: RNG001-3 by Drodi---3.6.0
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%------------------------------------------------------------------------------
% File : Drodi---3.6.0
% 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 : n026.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 20:37:38 EDT 2024
% Result : Unsatisfiable 0.21s 0.55s
% Output : CNFRefutation 0.21s
% Verified :
% SZS Type : Refutation
% Derivation depth : 11
% Number of leaves : 8
% Syntax : Number of formulae : 40 ( 15 unt; 0 def)
% Number of atoms : 104 ( 0 equ)
% Maximal formula atoms : 5 ( 2 avg)
% Number of connectives : 130 ( 66 ~; 64 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 13 ( 7 avg)
% Maximal term depth : 3 ( 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 : 146 ( 146 !; 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] :
( ~ sum(X0,X1,X2)
| ~ sum(additive_identity,X1,X3)
| sum(additive_inverse(X0),X2,X3) ),
inference(resolution,[status(thm)],[f12,f10]) ).
fof(f25,plain,
! [X0,X1,X2,X3,X4,X5] :
( ~ product(X0,X1,X2)
| ~ sum(X3,X1,X4)
| ~ sum(multiply(X0,X3),X2,X5)
| product(X0,X4,X5) ),
inference(resolution,[status(thm)],[f15,f19]) ).
fof(f26,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)],[f15,f17]) ).
fof(f27,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)],[f25,f15]) ).
fof(f30,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)],[f26,f15]) ).
fof(f31,plain,
! [X0,X1,X2] :
( ~ product(X0,additive_identity,X1)
| sum(multiply(X0,additive_inverse(X2)),multiply(X0,X2),X1) ),
inference(resolution,[status(thm)],[f30,f10]) ).
fof(f32,plain,
! [X0,X1,X2] :
( ~ product(X0,X1,X2)
| sum(multiply(X0,additive_identity),multiply(X0,X1),X2) ),
inference(resolution,[status(thm)],[f30,f9]) ).
fof(f33,plain,
! [X0,X1] : sum(multiply(X0,additive_identity),multiply(X0,X1),multiply(X0,X1)),
inference(resolution,[status(thm)],[f32,f15]) ).
fof(f34,plain,
! [X0,X1] : sum(multiply(X0,additive_inverse(X1)),multiply(X0,X1),multiply(X0,additive_identity)),
inference(resolution,[status(thm)],[f31,f15]) ).
fof(f48,plain,
! [X0,X1] :
( ~ sum(additive_identity,X0,X1)
| sum(additive_inverse(additive_identity),X0,X1) ),
inference(resolution,[status(thm)],[f21,f9]) ).
fof(f49,plain,
! [X0] : sum(additive_inverse(additive_identity),X0,X0),
inference(resolution,[status(thm)],[f48,f9]) ).
fof(f53,plain,
! [X0,X1,X2] :
( ~ sum(multiply(X0,additive_inverse(additive_identity)),multiply(X0,X1),X2)
| product(X0,X1,X2) ),
inference(resolution,[status(thm)],[f49,f27]) ).
fof(f105,plain,
! [X0,X1,X2,X3] :
( ~ sum(X0,X1,X2)
| ~ sum(additive_inverse(X0),X2,X3)
| sum(additive_identity,X1,X3) ),
inference(resolution,[status(thm)],[f14,f10]) ).
fof(f107,plain,
! [X0,X1,X2,X3] :
( ~ sum(X0,X1,X2)
| ~ sum(additive_identity,X2,X3)
| sum(X0,X1,X3) ),
inference(resolution,[status(thm)],[f14,f9]) ).
fof(f109,plain,
! [X0,X1,X2] :
( ~ sum(additive_inverse(multiply(X0,additive_identity)),multiply(X0,X1),X2)
| sum(additive_identity,multiply(X0,X1),X2) ),
inference(resolution,[status(thm)],[f105,f33]) ).
fof(f118,plain,
! [X0,X1,X2] :
( ~ sum(additive_identity,multiply(X0,additive_identity),X1)
| sum(multiply(X0,additive_inverse(X2)),multiply(X0,X2),X1) ),
inference(resolution,[status(thm)],[f107,f34]) ).
fof(f1625,plain,
! [X0] : sum(additive_identity,multiply(X0,additive_identity),additive_identity),
inference(resolution,[status(thm)],[f109,f10]) ).
fof(f1632,plain,
! [X0,X1] : sum(multiply(X0,additive_inverse(X1)),multiply(X0,X1),additive_identity),
inference(resolution,[status(thm)],[f1625,f118]) ).
fof(f1754,plain,
! [X0] : product(X0,additive_identity,additive_identity),
inference(resolution,[status(thm)],[f1632,f53]) ).
fof(f1774,plain,
$false,
inference(backward_subsumption_resolution,[status(thm)],[f20,f1754]) ).
%------------------------------------------------------------------------------
%----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
% 0.13/0.34 % Computer : n026.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % WCLimit : 300
% 0.13/0.34 % DateTime : Mon Apr 29 22:38:19 EDT 2024
% 0.13/0.34 % CPUTime :
% 0.13/0.35 % Drodi V3.6.0
% 0.21/0.55 % Refutation found
% 0.21/0.55 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.21/0.55 % SZS output start CNFRefutation for theBenchmark
% See solution above
% 1.63/0.57 % Elapsed time: 0.219462 seconds
% 1.63/0.57 % CPU time: 1.619590 seconds
% 1.63/0.57 % Total memory used: 43.607 MB
% 1.63/0.57 % Net memory used: 41.211 MB
%------------------------------------------------------------------------------