%------------------------------------------------------------------------------
% File : Drodi-SAT---4.1.1
% Problem : CAT003-4 : 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 : n004.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 12:07:41 PM UTC 2026
% Result : Unsatisfiable 0.13s 0.39s
% Output : Assurance 0s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : CAT003-4 : TPTP v9.3.1. Released v1.0.0.
% 0.00/0.04 % Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.08/0.35 % Computer : n004.cluster.edu
% 0.08/0.35 % Model : x86_64 x86_64
% 0.08/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.35 % Memory : 8046.5625MB
% 0.08/0.35 % OS : Linux 6.8.0-71-generic
% 0.08/0.35 % CPULimit : 300
% 0.08/0.35 % WCLimit : 300
% 0.08/0.35 % DateTime : Mon Sep 21 13:55:21 UTC 2026
% 0.08/0.35 % CPUTime :
% 0.13/0.36 % Drodi V4.1.1
% 0.13/0.39 % Refutation found
% 0.13/0.39 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.13/0.39 % SZS output start CNFRefutation for theBenchmark
% 0.13/0.39 fof(f9,axiom,(
% 0.13/0.39 (![X,Y,Z]: (compose(X,compose(Y,Z)) = compose(compose(X,Y),Z) ))),
% 0.13/0.39 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.13/0.39 fof(f13,hypothesis,(
% 0.13/0.39 (![X,Y,Z]: (( compose(X,compose(a,b)) != Y| compose(Z,compose(a,b)) != Y| X = Z ) ))),
% 0.13/0.39 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.13/0.39 fof(f15,hypothesis,(
% 0.13/0.39 compose(h,a) = compose(g,a) ),
% 0.13/0.39 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.13/0.39 fof(f16,negated_conjecture,(
% 0.13/0.39 g != h ),
% 0.13/0.39 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.13/0.39 fof(f27,plain,(
% 0.13/0.39 ![X0,X1,X2]: (compose(X0,compose(X1,X2))=compose(compose(X0,X1),X2))),
% 0.13/0.39 inference(cnf_transformation,[status(thm)],[f9])).
% 0.13/0.39 fof(f31,plain,(
% 0.13/0.39 ![X,Z]: ((![Y]: (~compose(X,compose(a,b))=Y|~compose(Z,compose(a,b))=Y))|X=Z)),
% 0.13/0.39 inference(miniscoping,[status(thm)],[f13])).
% 0.13/0.39 fof(f32,plain,(
% 0.13/0.39 ![X0,X1,X2]: (~compose(X0,compose(a,b))=X1|~compose(X2,compose(a,b))=X1|X0=X2)),
% 0.13/0.39 inference(cnf_transformation,[status(thm)],[f31])).
% 0.13/0.39 fof(f34,plain,(
% 0.13/0.39 compose(h,a)=compose(g,a)),
% 0.13/0.39 inference(cnf_transformation,[status(thm)],[f15])).
% 0.13/0.39 fof(f35,plain,(
% 0.13/0.39 ~g=h),
% 0.13/0.39 inference(cnf_transformation,[status(thm)],[f16])).
% 0.13/0.39 fof(f52,plain,(
% 0.13/0.39 ![X0]: (compose(h,compose(a,X0))=compose(compose(g,a),X0))),
% 0.13/0.39 inference(paramodulation,[status(thm)],[f34,f27])).
% 0.13/0.39 fof(f59,plain,(
% 0.13/0.39 ![X0]: (compose(h,compose(a,X0))=compose(g,compose(a,X0)))),
% 0.13/0.39 inference(forward_demodulation,[status(thm)],[f27,f52])).
% 0.13/0.39 fof(f84,plain,(
% 0.13/0.39 ![X0]: (~compose(X0,compose(a,b))=compose(g,compose(a,b))|X0=h)),
% 0.13/0.39 inference(resolution,[status(thm)],[f59,f32])).
% 0.13/0.39 fof(f100,plain,(
% 0.13/0.39 g=h),
% 0.13/0.39 inference(equality_resolution,[status(thm)],[f84])).
% 0.13/0.39 fof(f101,plain,(
% 0.13/0.39 $false),
% 0.13/0.39 inference(forward_subsumption_resolution,[status(thm)],[f100,f35])).
% 0.13/0.39 % SZS output end CNFRefutation for theBenchmark.p
% 0.13/0.41 % Elapsed time: 0.048956 seconds
% 0.13/0.41 % CPU time: 0.154337 seconds
% 0.13/0.41 % Total memory used: 66.862 MB
% 0.13/0.41 % Net memory used: 66.453 MB
%------------------------------------------------------------------------------