TSTP Solution File: RNG012-6 by Drodi---3.6.0
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%------------------------------------------------------------------------------
% File : Drodi---3.6.0
% Problem : RNG012-6 : TPTP v8.1.2. Released v1.0.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% Computer : n019.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 3.21s 0.76s
% Output : CNFRefutation 3.21s
% Verified :
% SZS Type : Refutation
% Derivation depth : 17
% Number of leaves : 11
% Syntax : Number of formulae : 39 ( 39 unt; 0 def)
% Number of atoms : 39 ( 38 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 : 67 ( 67 !; 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(f4,axiom,
! [X] : multiply(X,additive_identity) = 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(f8,axiom,
! [X,Y,Z] : multiply(X,add(Y,Z)) = add(multiply(X,Y),multiply(X,Z)),
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),additive_inverse(b)) != 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(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(f23,plain,
! [X0] : additive_inverse(additive_inverse(X0)) = X0,
inference(cnf_transformation,[status(esa)],[f7]) ).
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(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),additive_inverse(b)) != 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(f887,plain,
! [X0,X1,X2] : add(additive_inverse(multiply(X0,X1)),multiply(X0,add(X2,X1))) = multiply(X0,X2),
inference(paramodulation,[status(thm)],[f24,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(f5559,plain,
! [X0,X1,X2] : add(multiply(additive_inverse(X0),X1),multiply(X0,add(X2,X1))) = multiply(X0,X2),
inference(forward_demodulation,[status(thm)],[f958,f887]) ).
fof(f5681,plain,
! [X0,X1] : add(multiply(additive_inverse(X0),additive_inverse(X1)),multiply(X0,additive_identity)) = multiply(X0,X1),
inference(paramodulation,[status(thm)],[f22,f5559]) ).
fof(f5682,plain,
! [X0,X1] : add(multiply(X0,additive_identity),multiply(additive_inverse(X0),additive_inverse(X1))) = multiply(X0,X1),
inference(forward_demodulation,[status(thm)],[f26,f5681]) ).
fof(f5683,plain,
! [X0,X1] : add(additive_identity,multiply(additive_inverse(X0),additive_inverse(X1))) = multiply(X0,X1),
inference(forward_demodulation,[status(thm)],[f20,f5682]) ).
fof(f5684,plain,
! [X0,X1] : multiply(additive_inverse(X0),additive_inverse(X1)) = multiply(X0,X1),
inference(forward_demodulation,[status(thm)],[f17,f5683]) ).
fof(f5736,plain,
multiply(a,b) != multiply(a,b),
inference(backward_demodulation,[status(thm)],[f5684,f32]) ).
fof(f5737,plain,
$false,
inference(trivial_equality_resolution,[status(esa)],[f5736]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.02/0.11 % Problem : RNG012-6 : TPTP v8.1.2. Released v1.0.0.
% 0.02/0.12 % Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.09/0.32 % Computer : n019.cluster.edu
% 0.09/0.32 % Model : x86_64 x86_64
% 0.09/0.32 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.32 % Memory : 8042.1875MB
% 0.09/0.32 % OS : Linux 3.10.0-693.el7.x86_64
% 0.09/0.32 % CPULimit : 300
% 0.09/0.32 % WCLimit : 300
% 0.09/0.32 % DateTime : Mon Apr 29 22:17:14 EDT 2024
% 0.09/0.32 % CPUTime :
% 0.09/0.33 % Drodi V3.6.0
% 3.21/0.76 % Refutation found
% 3.21/0.76 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 3.21/0.76 % SZS output start CNFRefutation for theBenchmark
% See solution above
% 3.21/0.78 % Elapsed time: 0.444279 seconds
% 3.21/0.78 % CPU time: 3.391017 seconds
% 3.21/0.78 % Total memory used: 84.635 MB
% 3.21/0.78 % Net memory used: 83.714 MB
%------------------------------------------------------------------------------