TSTP Solution File: RNG001-5 by Drodi---3.6.0
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%------------------------------------------------------------------------------
% File : Drodi---3.6.0
% Problem : RNG001-5 : TPTP v8.1.2. Released v1.0.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% Computer : n022.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 20:37:39 EDT 2024
% Result : Unsatisfiable 1.59s 0.63s
% Output : CNFRefutation 1.59s
% Verified :
% SZS Type : Refutation
% Derivation depth : 10
% Number of leaves : 10
% Syntax : Number of formulae : 35 ( 16 unt; 0 def)
% Number of atoms : 76 ( 0 equ)
% Maximal formula atoms : 5 ( 2 avg)
% Number of connectives : 84 ( 43 ~; 41 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 13 ( 6 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 4 ( 3 usr; 1 prp; 0-3 aty)
% Number of functors : 4 ( 4 usr; 2 con; 0-2 aty)
% Number of variables : 97 ( 97 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f2,axiom,
! [X,Y] :
( ~ equalish(X,Y)
| equalish(Y,X) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f12,axiom,
! [X,Y,W,Z] :
( ~ equalish(X,Y)
| ~ product(W,Z,X)
| product(W,Z,Y) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f13,axiom,
! [X] : sum(additive_identity,X,X),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f14,axiom,
! [X] : sum(X,additive_identity,X),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f15,axiom,
! [X,Y] : product(X,Y,multiply(X,Y)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f18,axiom,
! [X] : sum(X,additive_inverse(X),additive_identity),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f19,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(f24,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(f28,axiom,
! [X,Y,U,V] :
( ~ sum(X,Y,U)
| ~ sum(X,Y,V)
| equalish(U,V) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f30,negated_conjecture,
~ product(a,additive_identity,additive_identity),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f32,plain,
! [X0,X1] :
( ~ equalish(X0,X1)
| equalish(X1,X0) ),
inference(cnf_transformation,[status(esa)],[f2]) ).
fof(f50,plain,
! [Y,W,Z] :
( ! [X] :
( ~ equalish(X,Y)
| ~ product(W,Z,X) )
| product(W,Z,Y) ),
inference(miniscoping,[status(esa)],[f12]) ).
fof(f51,plain,
! [X0,X1,X2,X3] :
( ~ equalish(X0,X1)
| ~ product(X2,X3,X0)
| product(X2,X3,X1) ),
inference(cnf_transformation,[status(esa)],[f50]) ).
fof(f52,plain,
! [X0] : sum(additive_identity,X0,X0),
inference(cnf_transformation,[status(esa)],[f13]) ).
fof(f53,plain,
! [X0] : sum(X0,additive_identity,X0),
inference(cnf_transformation,[status(esa)],[f14]) ).
fof(f54,plain,
! [X0,X1] : product(X0,X1,multiply(X0,X1)),
inference(cnf_transformation,[status(esa)],[f15]) ).
fof(f57,plain,
! [X0] : sum(X0,additive_inverse(X0),additive_identity),
inference(cnf_transformation,[status(esa)],[f18]) ).
fof(f58,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)],[f19]) ).
fof(f59,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)],[f58]) ).
fof(f67,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)],[f24]) ).
fof(f68,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)],[f67]) ).
fof(f75,plain,
! [U,V] :
( ! [X,Y] :
( ~ sum(X,Y,U)
| ~ sum(X,Y,V) )
| equalish(U,V) ),
inference(miniscoping,[status(esa)],[f28]) ).
fof(f76,plain,
! [X0,X1,X2,X3] :
( ~ sum(X0,X1,X2)
| ~ sum(X0,X1,X3)
| equalish(X2,X3) ),
inference(cnf_transformation,[status(esa)],[f75]) ).
fof(f79,plain,
~ product(a,additive_identity,additive_identity),
inference(cnf_transformation,[status(esa)],[f30]) ).
fof(f93,plain,
! [X0,X1,X2,X3] :
( ~ product(X0,X1,X2)
| ~ sum(X1,X3,X3)
| sum(X2,multiply(X0,X3),multiply(X0,X3)) ),
inference(resolution,[status(thm)],[f54,f68]) ).
fof(f285,plain,
! [X0,X1,X2] :
( ~ sum(X0,X1,X1)
| sum(multiply(X2,X0),multiply(X2,X1),multiply(X2,X1)) ),
inference(resolution,[status(thm)],[f93,f54]) ).
fof(f294,plain,
! [X0,X1] : sum(multiply(X0,additive_identity),multiply(X0,X1),multiply(X0,X1)),
inference(resolution,[status(thm)],[f285,f52]) ).
fof(f427,plain,
! [X0,X1,X2] :
( ~ equalish(multiply(X0,X1),X2)
| product(X0,X1,X2) ),
inference(resolution,[status(thm)],[f51,f54]) ).
fof(f440,plain,
! [X0,X1] :
( ~ sum(X0,additive_identity,X1)
| equalish(X1,X0) ),
inference(resolution,[status(thm)],[f76,f53]) ).
fof(f459,plain,
! [X0,X1] :
( ~ sum(X0,X1,X1)
| sum(X0,additive_identity,additive_identity) ),
inference(resolution,[status(thm)],[f59,f57]) ).
fof(f2602,plain,
! [X0] : sum(multiply(X0,additive_identity),additive_identity,additive_identity),
inference(resolution,[status(thm)],[f459,f294]) ).
fof(f2807,plain,
! [X0] : equalish(additive_identity,multiply(X0,additive_identity)),
inference(resolution,[status(thm)],[f2602,f440]) ).
fof(f2884,plain,
! [X0] : equalish(multiply(X0,additive_identity),additive_identity),
inference(resolution,[status(thm)],[f2807,f32]) ).
fof(f3012,plain,
! [X0] : product(X0,additive_identity,additive_identity),
inference(resolution,[status(thm)],[f2884,f427]) ).
fof(f3043,plain,
$false,
inference(backward_subsumption_resolution,[status(thm)],[f79,f3012]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.04/0.13 % Problem : RNG001-5 : TPTP v8.1.2. Released v1.0.0.
% 0.04/0.14 % Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.14/0.35 % Computer : n022.cluster.edu
% 0.14/0.35 % Model : x86_64 x86_64
% 0.14/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.35 % Memory : 8042.1875MB
% 0.14/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.35 % CPULimit : 300
% 0.14/0.35 % WCLimit : 300
% 0.14/0.35 % DateTime : Mon Apr 29 22:16:13 EDT 2024
% 0.14/0.35 % CPUTime :
% 0.14/0.36 % Drodi V3.6.0
% 1.59/0.63 % Refutation found
% 1.59/0.63 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 1.59/0.63 % SZS output start CNFRefutation for theBenchmark
% See solution above
% 2.14/0.64 % Elapsed time: 0.283810 seconds
% 2.14/0.64 % CPU time: 2.144265 seconds
% 2.14/0.64 % Total memory used: 63.432 MB
% 2.14/0.64 % Net memory used: 56.035 MB
%------------------------------------------------------------------------------