%------------------------------------------------------------------------------
% File : Drodi-SAT---4.1.1
% Problem : RNG007-4 : TPTP v9.3.1. Released v1.0.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% Computer : n012.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 02:05:06 PM UTC 2026
% Result : Unsatisfiable 0.04s 0.29s
% Output : Assurance 0s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.01 % Problem : RNG007-4 : TPTP v9.3.1. Released v1.0.0.
% 0.00/0.02 % Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.04/0.28 % Computer : n012.cluster.edu
% 0.04/0.28 % Model : x86_64 x86_64
% 0.04/0.28 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.04/0.28 % Memory : 8046.5625MB
% 0.04/0.28 % OS : Linux 6.8.0-71-generic
% 0.04/0.28 % CPULimit : 300
% 0.04/0.28 % WCLimit : 300
% 0.04/0.28 % DateTime : Mon Sep 21 04:10:06 UTC 2026
% 0.04/0.28 % CPUTime :
% 0.04/0.29 % Drodi V4.1.1
% 0.04/0.29 % Refutation found
% 0.04/0.29 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.04/0.29 % SZS output start CNFRefutation for theBenchmark
% 0.04/0.29 fof(f2,axiom,(
% 0.04/0.29 (![X]: (add(additive_inverse(X),X) = additive_identity ))),
% 0.04/0.29 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.04/0.29 fof(f6,axiom,(
% 0.04/0.29 (![X]: (additive_inverse(additive_inverse(X)) = X ))),
% 0.04/0.29 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.04/0.29 fof(f10,axiom,(
% 0.04/0.29 (![X,Y]: (multiply(X,additive_inverse(Y)) = additive_inverse(multiply(X,Y)) ))),
% 0.04/0.29 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.04/0.29 fof(f11,axiom,(
% 0.04/0.29 (![X,Y]: (multiply(additive_inverse(X),Y) = additive_inverse(multiply(X,Y)) ))),
% 0.04/0.29 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.04/0.29 fof(f15,hypothesis,(
% 0.04/0.29 (![X]: (multiply(X,X) = X ))),
% 0.04/0.29 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.04/0.29 fof(f16,negated_conjecture,(
% 0.04/0.29 add(a,a) != additive_identity ),
% 0.04/0.29 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.04/0.29 fof(f18,plain,(
% 0.04/0.29 ![X0]: (add(additive_inverse(X0),X0)=additive_identity)),
% 0.04/0.29 inference(cnf_transformation,[status(thm)],[f2])).
% 0.04/0.29 fof(f22,plain,(
% 0.04/0.29 ![X0]: (additive_inverse(additive_inverse(X0))=X0)),
% 0.04/0.29 inference(cnf_transformation,[status(thm)],[f6])).
% 0.04/0.29 fof(f26,plain,(
% 0.04/0.29 ![X0,X1]: (multiply(X0,additive_inverse(X1))=additive_inverse(multiply(X0,X1)))),
% 0.04/0.29 inference(cnf_transformation,[status(thm)],[f10])).
% 0.04/0.29 fof(f27,plain,(
% 0.04/0.29 ![X0,X1]: (multiply(additive_inverse(X0),X1)=additive_inverse(multiply(X0,X1)))),
% 0.04/0.29 inference(cnf_transformation,[status(thm)],[f11])).
% 0.04/0.29 fof(f31,plain,(
% 0.04/0.29 ![X0]: (multiply(X0,X0)=X0)),
% 0.04/0.29 inference(cnf_transformation,[status(thm)],[f15])).
% 0.04/0.29 fof(f32,plain,(
% 0.04/0.29 ~add(a,a)=additive_identity),
% 0.04/0.29 inference(cnf_transformation,[status(thm)],[f16])).
% 0.04/0.29 fof(f76,plain,(
% 0.04/0.29 ![X0]: (add(X0,additive_inverse(X0))=additive_identity)),
% 0.04/0.29 inference(paramodulation,[status(thm)],[f22,f18])).
% 0.04/0.29 fof(f100,plain,(
% 0.04/0.29 ![X0]: (additive_inverse(X0)=additive_inverse(multiply(additive_inverse(X0),X0)))),
% 0.04/0.29 inference(paramodulation,[status(thm)],[f31,f26])).
% 0.04/0.29 fof(f110,plain,(
% 0.04/0.29 ![X0]: (additive_inverse(X0)=additive_inverse(additive_inverse(multiply(X0,X0))))),
% 0.04/0.29 inference(forward_demodulation,[status(thm)],[f27,f100])).
% 0.04/0.29 fof(f111,plain,(
% 0.04/0.29 ![X0]: (additive_inverse(X0)=multiply(X0,X0))),
% 0.04/0.29 inference(forward_demodulation,[status(thm)],[f22,f110])).
% 0.04/0.29 fof(f116,plain,(
% 0.04/0.29 ![X0]: (add(X0,X0)=additive_identity)),
% 0.04/0.29 inference(backward_demodulation,[status(thm)],[f126,f76])).
% 0.04/0.29 fof(f126,plain,(
% 0.04/0.29 ![X0]: (additive_inverse(X0)=X0)),
% 0.04/0.29 inference(forward_demodulation,[status(thm)],[f31,f111])).
% 0.04/0.29 fof(f150,plain,(
% 0.04/0.29 ~additive_identity=additive_identity),
% 0.04/0.29 inference(backward_demodulation,[status(thm)],[f116,f32])).
% 0.04/0.29 fof(f156,plain,(
% 0.04/0.29 $false),
% 0.04/0.29 inference(trivial_equality_resolution,[status(thm)],[f150])).
% 0.04/0.29 % SZS output end CNFRefutation for theBenchmark.p
% 0.04/0.30 % Elapsed time: 0.015665 seconds
% 0.04/0.30 % CPU time: 0.025823 seconds
% 0.04/0.30 % Total memory used: 1.569 MB
% 0.04/0.30 % Net memory used: 1.552 MB
%------------------------------------------------------------------------------