TSTP Solution File: RNG015-6 by Drodi---3.5.1
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%------------------------------------------------------------------------------
% File : Drodi---3.5.1
% Problem : RNG015-6 : TPTP v8.1.2. Released v1.0.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% Computer : n012.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 12:32:37 EDT 2023
% Result : Unsatisfiable 5.31s 1.12s
% Output : CNFRefutation 5.31s
% Verified :
% SZS Type : Refutation
% Derivation depth : 11
% Number of leaves : 8
% Syntax : Number of formulae : 26 ( 26 unt; 0 def)
% Number of atoms : 26 ( 25 equ)
% Maximal formula atoms : 1 ( 1 avg)
% Number of connectives : 4 ( 4 ~; 0 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 4 ( 3 avg)
% Maximal term depth : 4 ( 2 avg)
% Number of predicates : 2 ( 0 usr; 1 prp; 0-2 aty)
% Number of functors : 7 ( 7 usr; 4 con; 0-2 aty)
% Number of variables : 39 (; 39 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
! [X] : add(additive_identity,X) = X,
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f4,axiom,
! [X] : multiply(X,additive_identity) = additive_identity,
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f5,axiom,
! [X] : add(additive_inverse(X),X) = additive_identity,
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f6,axiom,
! [X] : add(X,additive_inverse(X)) = additive_identity,
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f8,axiom,
! [X,Y,Z] : multiply(X,add(Y,Z)) = add(multiply(X,Y),multiply(X,Z)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f10,axiom,
! [X,Y] : add(X,Y) = add(Y,X),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f11,axiom,
! [X,Y,Z] : add(X,add(Y,Z)) = add(add(X,Y),Z),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f16,negated_conjecture,
multiply(x,add(y,additive_inverse(z))) != add(multiply(x,y),additive_inverse(multiply(x,z))),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f17,plain,
! [X0] : add(additive_identity,X0) = X0,
inference(cnf_transformation,[status(esa)],[f1]) ).
fof(f20,plain,
! [X0] : multiply(X0,additive_identity) = additive_identity,
inference(cnf_transformation,[status(esa)],[f4]) ).
fof(f21,plain,
! [X0] : add(additive_inverse(X0),X0) = additive_identity,
inference(cnf_transformation,[status(esa)],[f5]) ).
fof(f22,plain,
! [X0] : add(X0,additive_inverse(X0)) = additive_identity,
inference(cnf_transformation,[status(esa)],[f6]) ).
fof(f24,plain,
! [X0,X1,X2] : multiply(X0,add(X1,X2)) = add(multiply(X0,X1),multiply(X0,X2)),
inference(cnf_transformation,[status(esa)],[f8]) ).
fof(f26,plain,
! [X0,X1] : add(X0,X1) = add(X1,X0),
inference(cnf_transformation,[status(esa)],[f10]) ).
fof(f27,plain,
! [X0,X1,X2] : add(X0,add(X1,X2)) = add(add(X0,X1),X2),
inference(cnf_transformation,[status(esa)],[f11]) ).
fof(f32,plain,
multiply(x,add(y,additive_inverse(z))) != add(multiply(x,y),additive_inverse(multiply(x,z))),
inference(cnf_transformation,[status(esa)],[f16]) ).
fof(f80,plain,
! [X0,X1] : add(additive_inverse(X0),add(X0,X1)) = add(additive_identity,X1),
inference(paramodulation,[status(thm)],[f21,f27]) ).
fof(f81,plain,
! [X0,X1] : add(additive_inverse(X0),add(X0,X1)) = X1,
inference(forward_demodulation,[status(thm)],[f17,f80]) ).
fof(f98,plain,
! [X0,X1,X2] : add(additive_inverse(multiply(X0,X1)),multiply(X0,add(X1,X2))) = multiply(X0,X2),
inference(paramodulation,[status(thm)],[f24,f81]) ).
fof(f6891,plain,
! [X0,X1] : add(additive_inverse(multiply(X0,X1)),multiply(X0,additive_identity)) = multiply(X0,additive_inverse(X1)),
inference(paramodulation,[status(thm)],[f22,f98]) ).
fof(f6892,plain,
! [X0,X1] : add(multiply(X0,additive_identity),additive_inverse(multiply(X0,X1))) = multiply(X0,additive_inverse(X1)),
inference(forward_demodulation,[status(thm)],[f26,f6891]) ).
fof(f6893,plain,
! [X0,X1] : add(additive_identity,additive_inverse(multiply(X0,X1))) = multiply(X0,additive_inverse(X1)),
inference(forward_demodulation,[status(thm)],[f20,f6892]) ).
fof(f6894,plain,
! [X0,X1] : additive_inverse(multiply(X0,X1)) = multiply(X0,additive_inverse(X1)),
inference(forward_demodulation,[status(thm)],[f17,f6893]) ).
fof(f6996,plain,
multiply(x,add(y,additive_inverse(z))) != add(multiply(x,y),multiply(x,additive_inverse(z))),
inference(backward_demodulation,[status(thm)],[f6894,f32]) ).
fof(f6997,plain,
multiply(x,add(y,additive_inverse(z))) != multiply(x,add(y,additive_inverse(z))),
inference(forward_demodulation,[status(thm)],[f24,f6996]) ).
fof(f6998,plain,
$false,
inference(trivial_equality_resolution,[status(esa)],[f6997]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.11 % Problem : RNG015-6 : TPTP v8.1.2. Released v1.0.0.
% 0.06/0.11 % Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.10/0.32 % Computer : n012.cluster.edu
% 0.10/0.32 % Model : x86_64 x86_64
% 0.10/0.32 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.32 % Memory : 8042.1875MB
% 0.10/0.32 % OS : Linux 3.10.0-693.el7.x86_64
% 0.10/0.32 % CPULimit : 300
% 0.10/0.32 % WCLimit : 300
% 0.10/0.32 % DateTime : Tue May 30 10:31:40 EDT 2023
% 0.10/0.32 % CPUTime :
% 0.10/0.32 % Drodi V3.5.1
% 5.31/1.12 % Refutation found
% 5.31/1.12 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 5.31/1.12 % SZS output start CNFRefutation for theBenchmark
% See solution above
% 5.67/1.13 % Elapsed time: 0.812758 seconds
% 5.67/1.13 % CPU time: 5.687273 seconds
% 5.67/1.13 % Memory used: 67.981 MB
%------------------------------------------------------------------------------