%------------------------------------------------------------------------------
% File : Drodi-SAT---4.1.1
% Problem : RNG015-6 : TPTP v9.3.1. Released v1.0.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% Computer : n007.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8046.5625MB
% OS : Linux 6.8.0-71-generic
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Thu Sep 24 02:05:08 PM UTC 2026
% Result : Unsatisfiable 12.71s 2.21s
% Output : Assurance 0s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.05 % Problem : RNG015-6 : TPTP v9.3.1. Released v1.0.0.
% 0.00/0.06 % Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.18/0.44 % Computer : n007.cluster.edu
% 0.18/0.44 % Model : x86_64 x86_64
% 0.18/0.44 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.18/0.44 % Memory : 8046.5625MB
% 0.18/0.44 % OS : Linux 6.8.0-71-generic
% 0.18/0.44 % CPULimit : 300
% 0.18/0.44 % WCLimit : 300
% 0.18/0.44 % DateTime : Mon Sep 21 04:08:35 UTC 2026
% 0.18/0.45 % CPUTime :
% 0.18/0.47 % Drodi V4.1.1
% 12.71/2.21 % Refutation found
% 12.71/2.21 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 12.71/2.21 % SZS output start CNFRefutation for theBenchmark
% 12.71/2.21 fof(f1,axiom,(
% 12.71/2.21 (![X]: (add(additive_identity,X) = X ))),
% 12.71/2.21 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 12.71/2.21 fof(f5,axiom,(
% 12.71/2.21 (![X]: (add(additive_inverse(X),X) = additive_identity ))),
% 12.71/2.21 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 12.71/2.21 fof(f6,axiom,(
% 12.71/2.21 (![X]: (add(X,additive_inverse(X)) = additive_identity ))),
% 12.71/2.21 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 12.71/2.21 fof(f8,axiom,(
% 12.71/2.21 (![X,Y,Z]: (multiply(X,add(Y,Z)) = add(multiply(X,Y),multiply(X,Z)) ))),
% 12.71/2.21 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 12.71/2.21 fof(f10,axiom,(
% 12.71/2.21 (![X,Y]: (add(X,Y) = add(Y,X) ))),
% 12.71/2.21 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 12.71/2.21 fof(f11,axiom,(
% 12.71/2.21 (![X,Y,Z]: (add(X,add(Y,Z)) = add(add(X,Y),Z) ))),
% 12.71/2.21 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 12.71/2.21 fof(f16,negated_conjecture,(
% 12.71/2.21 multiply(x,add(y,additive_inverse(z))) != add(multiply(x,y),additive_inverse(multiply(x,z))) ),
% 12.71/2.21 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 12.71/2.21 fof(f17,plain,(
% 12.71/2.21 ![X0]: (add(additive_identity,X0)=X0)),
% 12.71/2.21 inference(cnf_transformation,[status(thm)],[f1])).
% 12.71/2.21 fof(f21,plain,(
% 12.71/2.21 ![X0]: (add(additive_inverse(X0),X0)=additive_identity)),
% 12.71/2.21 inference(cnf_transformation,[status(thm)],[f5])).
% 12.71/2.21 fof(f22,plain,(
% 12.71/2.21 ![X0]: (add(X0,additive_inverse(X0))=additive_identity)),
% 12.71/2.21 inference(cnf_transformation,[status(thm)],[f6])).
% 12.71/2.21 fof(f24,plain,(
% 12.71/2.21 ![X0,X1,X2]: (multiply(X0,add(X1,X2))=add(multiply(X0,X1),multiply(X0,X2)))),
% 12.71/2.21 inference(cnf_transformation,[status(thm)],[f8])).
% 12.71/2.21 fof(f26,plain,(
% 12.71/2.21 ![X0,X1]: (add(X0,X1)=add(X1,X0))),
% 12.71/2.21 inference(cnf_transformation,[status(thm)],[f10])).
% 12.71/2.21 fof(f27,plain,(
% 12.71/2.21 ![X0,X1,X2]: (add(X0,add(X1,X2))=add(add(X0,X1),X2))),
% 12.71/2.21 inference(cnf_transformation,[status(thm)],[f11])).
% 12.71/2.21 fof(f32,plain,(
% 12.71/2.21 ~multiply(x,add(y,additive_inverse(z)))=add(multiply(x,y),additive_inverse(multiply(x,z)))),
% 12.71/2.21 inference(cnf_transformation,[status(thm)],[f16])).
% 12.71/2.21 fof(f64,plain,(
% 12.71/2.21 ![X0,X1]: (add(additive_inverse(X0),add(X0,X1))=add(additive_identity,X1))),
% 12.71/2.21 inference(paramodulation,[status(thm)],[f21,f27])).
% 12.71/2.21 fof(f65,plain,(
% 12.71/2.21 ![X0,X1]: (add(X0,add(additive_inverse(X0),X1))=add(additive_identity,X1))),
% 12.71/2.21 inference(paramodulation,[status(thm)],[f22,f27])).
% 12.71/2.21 fof(f73,plain,(
% 12.71/2.21 ![X0,X1]: (add(additive_inverse(X0),add(X0,X1))=X1)),
% 12.71/2.21 inference(forward_demodulation,[status(thm)],[f17,f64])).
% 12.71/2.21 fof(f74,plain,(
% 12.71/2.21 ![X0,X1]: (add(X0,add(additive_inverse(X0),X1))=X1)),
% 12.71/2.21 inference(forward_demodulation,[status(thm)],[f17,f65])).
% 12.71/2.21 fof(f80,plain,(
% 12.71/2.21 ![X0,X1]: (add(additive_inverse(X0),add(X1,X0))=X1)),
% 12.71/2.21 inference(paramodulation,[status(thm)],[f26,f73])).
% 12.71/2.21 fof(f90,plain,(
% 12.71/2.21 ![X0,X1]: (add(X0,add(X1,additive_inverse(X0)))=X1)),
% 12.71/2.21 inference(paramodulation,[status(thm)],[f26,f74])).
% 12.71/2.21 fof(f98,plain,(
% 12.71/2.21 ![X0,X1,X2]: (multiply(X0,add(X1,X2))=add(multiply(X0,X2),multiply(X0,X1)))),
% 12.71/2.21 inference(paramodulation,[status(thm)],[f26,f24])).
% 12.71/2.21 fof(f104,plain,(
% 12.71/2.21 ![X0,X1,X2]: (add(additive_inverse(multiply(X0,X1)),multiply(X0,add(X1,X2)))=multiply(X0,X2))),
% 12.71/2.21 inference(paramodulation,[status(thm)],[f24,f73])).
% 12.71/2.21 fof(f231,plain,(
% 12.71/2.21 ![X0,X1]: (add(additive_inverse(add(X0,X1)),X0)=additive_inverse(X1))),
% 12.71/2.21 inference(paramodulation,[status(thm)],[f80,f80])).
% 12.71/2.21 fof(f253,plain,(
% 12.71/2.21 ![X0,X1]: (add(X0,additive_inverse(add(X0,X1)))=additive_inverse(X1))),
% 12.71/2.21 inference(paramodulation,[status(thm)],[f26,f231])).
% 12.71/2.21 fof(f264,plain,(
% 12.71/2.21 ![X0,X1]: (add(additive_inverse(X0),X1)=additive_inverse(add(additive_inverse(X1),X0)))),
% 12.71/2.21 inference(paramodulation,[status(thm)],[f74,f231])).
% 12.71/2.21 fof(f1428,plain,(
% 12.71/2.21 ![X0,X1,X2]: (multiply(X0,add(X1,X2))=multiply(X0,add(X2,X1)))),
% 12.71/2.21 inference(paramodulation,[status(thm)],[f24,f98])).
% 12.71/2.21 fof(f26463,plain,(
% 12.71/2.21 ![X0,X1,X2]: (add(additive_inverse(multiply(X0,X1)),multiply(X0,X2))=multiply(X0,add(X2,additive_inverse(X1))))),
% 12.71/2.21 inference(paramodulation,[status(thm)],[f90,f104])).
% 12.71/2.21 fof(f26482,plain,(
% 12.71/2.21 ![X0,X1,X2]: (add(additive_inverse(multiply(X0,add(X1,X2))),multiply(X0,X1))=additive_inverse(multiply(X0,X2)))),
% 12.71/2.21 inference(paramodulation,[status(thm)],[f104,f264])).
% 12.71/2.24 fof(f26659,plain,(
% 12.71/2.24 ![X0,X1,X2]: (multiply(X0,add(X1,additive_inverse(add(X1,X2))))=additive_inverse(multiply(X0,X2)))),
% 12.71/2.24 inference(forward_demodulation,[status(thm)],[f26463,f26482])).
% 12.71/2.24 fof(f26670,plain,(
% 12.71/2.24 ![X0,X1]: (multiply(X0,additive_inverse(X1))=additive_inverse(multiply(X0,X1)))),
% 12.71/2.24 inference(forward_demodulation,[status(thm)],[f253,f26659])).
% 12.71/2.24 fof(f27039,plain,(
% 12.71/2.24 ![X0,X1,X2]: (multiply(X0,add(additive_inverse(X1),X2))=add(multiply(X0,X2),additive_inverse(multiply(X0,X1))))),
% 12.71/2.24 inference(paramodulation,[status(thm)],[f26670,f98])).
% 12.71/2.24 fof(f27394,plain,(
% 12.71/2.24 ~multiply(x,add(y,additive_inverse(z)))=multiply(x,add(additive_inverse(z),y))),
% 12.71/2.24 inference(backward_demodulation,[status(thm)],[f27039,f32])).
% 12.71/2.24 fof(f27488,plain,(
% 12.71/2.24 $false),
% 12.71/2.24 inference(forward_subsumption_resolution,[status(thm)],[f27394,f1428])).
% 12.71/2.24 % SZS output end CNFRefutation for theBenchmark.p
% 10.23/12.27 % Elapsed time: 11.814999 seconds
% 10.23/12.27 % CPU time: 90.219633 seconds
% 10.23/12.27 % Total memory used: 46.984 GB
% 10.23/12.27 % Net memory used: 46.982 GB
%------------------------------------------------------------------------------