%------------------------------------------------------------------------------
% File : Drodi-SAT---4.1.1
% Problem : CAT002-4 : 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 : n015.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 12:07:40 PM UTC 2026
% Result : Unsatisfiable 0.10s 0.40s
% Output : Assurance 0s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : CAT002-4 : TPTP v9.3.1. Released v1.0.0.
% 0.00/0.04 % Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.10/0.37 % Computer : n015.cluster.edu
% 0.10/0.37 % Model : x86_64 x86_64
% 0.10/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.37 % Memory : 8046.5625MB
% 0.10/0.37 % OS : Linux 6.8.0-71-generic
% 0.10/0.37 % CPULimit : 300
% 0.10/0.37 % WCLimit : 300
% 0.10/0.37 % DateTime : Mon Sep 21 13:58:23 UTC 2026
% 0.10/0.37 % CPUTime :
% 0.10/0.38 % Drodi V4.1.1
% 0.10/0.40 % Refutation found
% 0.10/0.40 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.10/0.40 % SZS output start CNFRefutation for theBenchmark
% 0.10/0.40 fof(f9,axiom,(
% 0.10/0.40 (![X,Y,Z]: (compose(X,compose(Y,Z)) = compose(compose(X,Y),Z) ))),
% 0.10/0.40 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.10/0.40 fof(f13,hypothesis,(
% 0.10/0.40 (![X,Y,Z]: (( compose(a,X) != Y| compose(a,Z) != Y| X = Z ) ))),
% 0.10/0.40 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.10/0.40 fof(f14,hypothesis,(
% 0.10/0.40 (![X,Y,Z]: (( compose(b,X) != Y| compose(b,Z) != Y| X = Z ) ))),
% 0.10/0.40 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.10/0.40 fof(f16,hypothesis,(
% 0.10/0.40 compose(compose(a,b),h) = compose(compose(a,b),g) ),
% 0.10/0.40 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.10/0.40 fof(f17,negated_conjecture,(
% 0.10/0.40 g != h ),
% 0.10/0.40 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.10/0.40 fof(f28,plain,(
% 0.10/0.40 ![X0,X1,X2]: (compose(X0,compose(X1,X2))=compose(compose(X0,X1),X2))),
% 0.10/0.40 inference(cnf_transformation,[status(thm)],[f9])).
% 0.10/0.40 fof(f32,plain,(
% 0.10/0.40 ![X,Z]: ((![Y]: (~compose(a,X)=Y|~compose(a,Z)=Y))|X=Z)),
% 0.10/0.40 inference(miniscoping,[status(thm)],[f13])).
% 0.10/0.40 fof(f33,plain,(
% 0.10/0.40 ![X0,X1,X2]: (~compose(a,X0)=X1|~compose(a,X2)=X1|X0=X2)),
% 0.10/0.40 inference(cnf_transformation,[status(thm)],[f32])).
% 0.10/0.40 fof(f34,plain,(
% 0.10/0.40 ![X,Z]: ((![Y]: (~compose(b,X)=Y|~compose(b,Z)=Y))|X=Z)),
% 0.10/0.40 inference(miniscoping,[status(thm)],[f14])).
% 0.10/0.40 fof(f35,plain,(
% 0.10/0.40 ![X0,X1,X2]: (~compose(b,X0)=X1|~compose(b,X2)=X1|X0=X2)),
% 0.10/0.40 inference(cnf_transformation,[status(thm)],[f34])).
% 0.10/0.40 fof(f37,plain,(
% 0.10/0.40 compose(compose(a,b),h)=compose(compose(a,b),g)),
% 0.10/0.40 inference(cnf_transformation,[status(thm)],[f16])).
% 0.10/0.40 fof(f38,plain,(
% 0.10/0.40 ~g=h),
% 0.10/0.40 inference(cnf_transformation,[status(thm)],[f17])).
% 0.10/0.40 fof(f40,plain,(
% 0.10/0.40 ![X0,X1]: (~compose(a,X0)=compose(a,X1)|X1=X0)),
% 0.10/0.40 inference(destructive_equality_resolution,[status(thm)],[f33])).
% 0.10/0.40 fof(f41,plain,(
% 0.10/0.40 ![X0,X1]: (~compose(b,X0)=compose(b,X1)|X1=X0)),
% 0.10/0.40 inference(destructive_equality_resolution,[status(thm)],[f35])).
% 0.10/0.40 fof(f42,plain,(
% 0.10/0.40 compose(a,compose(b,h))=compose(compose(a,b),g)),
% 0.10/0.40 inference(forward_demodulation,[status(thm)],[f28,f37])).
% 0.10/0.40 fof(f43,plain,(
% 0.10/0.40 compose(a,compose(b,h))=compose(a,compose(b,g))),
% 0.10/0.40 inference(forward_demodulation,[status(thm)],[f28,f42])).
% 0.10/0.40 fof(f44,plain,(
% 0.10/0.40 compose(b,g)=compose(b,h)),
% 0.10/0.40 inference(resolution,[status(thm)],[f40,f43])).
% 0.10/0.40 fof(f54,plain,(
% 0.10/0.40 h=g),
% 0.10/0.40 inference(resolution,[status(thm)],[f41,f44])).
% 0.10/0.40 fof(f61,plain,(
% 0.10/0.40 $false),
% 0.10/0.40 inference(forward_subsumption_resolution,[status(thm)],[f54,f38])).
% 0.10/0.40 % SZS output end CNFRefutation for theBenchmark.p
% 0.10/0.42 % Elapsed time: 0.042362 seconds
% 0.10/0.42 % CPU time: 0.133940 seconds
% 0.10/0.42 % Total memory used: 48.150 MB
% 0.10/0.42 % Net memory used: 47.875 MB
%------------------------------------------------------------------------------