TSTP Solution File: RNG013-6 by Drodi---3.6.0
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%------------------------------------------------------------------------------
% File : Drodi---3.6.0
% Problem : RNG013-6 : TPTP v8.1.2. Released v1.0.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% Computer : n015.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 20:37:43 EDT 2024
% Result : Unsatisfiable 0.21s 0.51s
% Output : CNFRefutation 0.21s
% Verified :
% SZS Type : Refutation
% Derivation depth : 12
% Number of leaves : 9
% Syntax : Number of formulae : 29 ( 29 unt; 0 def)
% Number of atoms : 29 ( 28 equ)
% Maximal formula atoms : 1 ( 1 avg)
% Number of connectives : 3 ( 3 ~; 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 : 6 ( 6 usr; 3 con; 0-2 aty)
% Number of variables : 45 ( 45 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
! [X] : add(additive_identity,X) = X,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f3,axiom,
! [X] : multiply(additive_identity,X) = additive_identity,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f5,axiom,
! [X] : add(additive_inverse(X),X) = additive_identity,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f6,axiom,
! [X] : add(X,additive_inverse(X)) = additive_identity,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f7,axiom,
! [X] : additive_inverse(additive_inverse(X)) = X,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f9,axiom,
! [X,Y,Z] : multiply(add(X,Y),Z) = add(multiply(X,Z),multiply(Y,Z)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f10,axiom,
! [X,Y] : add(X,Y) = add(Y,X),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f11,axiom,
! [X,Y,Z] : add(X,add(Y,Z)) = add(add(X,Y),Z),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f16,negated_conjecture,
multiply(additive_inverse(a),b) != additive_inverse(multiply(a,b)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f17,plain,
! [X0] : add(additive_identity,X0) = X0,
inference(cnf_transformation,[status(esa)],[f1]) ).
fof(f19,plain,
! [X0] : multiply(additive_identity,X0) = additive_identity,
inference(cnf_transformation,[status(esa)],[f3]) ).
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(f23,plain,
! [X0] : additive_inverse(additive_inverse(X0)) = X0,
inference(cnf_transformation,[status(esa)],[f7]) ).
fof(f25,plain,
! [X0,X1,X2] : multiply(add(X0,X1),X2) = add(multiply(X0,X2),multiply(X1,X2)),
inference(cnf_transformation,[status(esa)],[f9]) ).
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(additive_inverse(a),b) != additive_inverse(multiply(a,b)),
inference(cnf_transformation,[status(esa)],[f16]) ).
fof(f116,plain,
! [X0,X1] : add(X0,add(additive_inverse(X0),X1)) = add(additive_identity,X1),
inference(paramodulation,[status(thm)],[f22,f27]) ).
fof(f117,plain,
! [X0,X1] : add(X0,add(additive_inverse(X0),X1)) = X1,
inference(forward_demodulation,[status(thm)],[f17,f116]) ).
fof(f135,plain,
! [X0,X1] : add(X0,add(X1,additive_inverse(X0))) = X1,
inference(paramodulation,[status(thm)],[f26,f117]) ).
fof(f157,plain,
! [X0,X1] : add(additive_inverse(X0),add(X1,X0)) = X1,
inference(paramodulation,[status(thm)],[f23,f135]) ).
fof(f886,plain,
! [X0,X1,X2] : add(additive_inverse(multiply(X0,X1)),multiply(add(X2,X0),X1)) = multiply(X2,X1),
inference(paramodulation,[status(thm)],[f25,f157]) ).
fof(f955,plain,
! [X0,X1] : add(additive_inverse(multiply(X0,X1)),multiply(additive_identity,X1)) = multiply(additive_inverse(X0),X1),
inference(paramodulation,[status(thm)],[f21,f886]) ).
fof(f956,plain,
! [X0,X1] : add(multiply(additive_identity,X0),additive_inverse(multiply(X1,X0))) = multiply(additive_inverse(X1),X0),
inference(forward_demodulation,[status(thm)],[f26,f955]) ).
fof(f957,plain,
! [X0,X1] : add(additive_identity,additive_inverse(multiply(X0,X1))) = multiply(additive_inverse(X0),X1),
inference(forward_demodulation,[status(thm)],[f19,f956]) ).
fof(f958,plain,
! [X0,X1] : additive_inverse(multiply(X0,X1)) = multiply(additive_inverse(X0),X1),
inference(forward_demodulation,[status(thm)],[f17,f957]) ).
fof(f1022,plain,
multiply(additive_inverse(a),b) != multiply(additive_inverse(a),b),
inference(backward_demodulation,[status(thm)],[f958,f32]) ).
fof(f1023,plain,
$false,
inference(trivial_equality_resolution,[status(esa)],[f1022]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : RNG013-6 : TPTP v8.1.2. Released v1.0.0.
% 0.03/0.13 % Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.14/0.34 % Computer : n015.cluster.edu
% 0.14/0.34 % Model : x86_64 x86_64
% 0.14/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.34 % Memory : 8042.1875MB
% 0.14/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.34 % CPULimit : 300
% 0.14/0.35 % WCLimit : 300
% 0.14/0.35 % DateTime : Mon Apr 29 22:39:47 EDT 2024
% 0.14/0.35 % CPUTime :
% 0.14/0.36 % Drodi V3.6.0
% 0.21/0.51 % Refutation found
% 0.21/0.51 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.21/0.51 % SZS output start CNFRefutation for theBenchmark
% See solution above
% 0.21/0.53 % Elapsed time: 0.155773 seconds
% 0.21/0.53 % CPU time: 1.136025 seconds
% 0.21/0.53 % Total memory used: 34.816 MB
% 0.21/0.53 % Net memory used: 34.435 MB
%------------------------------------------------------------------------------