%------------------------------------------------------------------------------
% File : Drodi-SAT---4.1.1
% Problem : CAT002-3 : 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 : n016.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 0.08s 0.39s
% Output : Assurance 0s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : CAT002-3 : TPTP v9.3.1. Released v1.0.0.
% 0.00/0.04 % Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.08/0.36 % Computer : n016.cluster.edu
% 0.08/0.36 % Model : x86_64 x86_64
% 0.08/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.36 % Memory : 8046.5625MB
% 0.08/0.36 % OS : Linux 6.8.0-71-generic
% 0.08/0.36 % CPULimit : 300
% 0.08/0.36 % WCLimit : 300
% 0.08/0.36 % DateTime : Mon Sep 21 13:59:54 UTC 2026
% 0.08/0.36 % CPUTime :
% 0.08/0.37 % Drodi V4.1.1
% 0.08/0.39 % Refutation found
% 0.08/0.39 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.08/0.39 % SZS output start CNFRefutation for theBenchmark
% 0.08/0.39 fof(f9,axiom,(
% 0.08/0.39 (![X,Y,Z]: (compose(X,compose(Y,Z)) = compose(compose(X,Y),Z) ))),
% 0.08/0.39 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.08/0.39 fof(f19,hypothesis,(
% 0.08/0.39 (![X,Y,Z]: (( compose(a,X) != Y| compose(a,Z) != Y| X = Z ) ))),
% 0.08/0.39 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.08/0.39 fof(f20,hypothesis,(
% 0.08/0.39 (![X,Y,Z]: (( compose(b,X) != Y| compose(b,Z) != Y| X = Z ) ))),
% 0.08/0.39 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.08/0.39 fof(f22,hypothesis,(
% 0.08/0.39 compose(compose(a,b),h) = compose(compose(a,b),g) ),
% 0.08/0.39 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.08/0.39 fof(f23,negated_conjecture,(
% 0.08/0.39 g != h ),
% 0.08/0.39 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.08/0.39 fof(f34,plain,(
% 0.08/0.39 ![X0,X1,X2]: (compose(X0,compose(X1,X2))=compose(compose(X0,X1),X2))),
% 0.08/0.39 inference(cnf_transformation,[status(thm)],[f9])).
% 0.08/0.39 fof(f46,plain,(
% 0.08/0.39 ![X,Z]: ((![Y]: (~compose(a,X)=Y|~compose(a,Z)=Y))|X=Z)),
% 0.08/0.39 inference(miniscoping,[status(thm)],[f19])).
% 0.08/0.39 fof(f47,plain,(
% 0.08/0.39 ![X0,X1,X2]: (~compose(a,X0)=X1|~compose(a,X2)=X1|X0=X2)),
% 0.08/0.39 inference(cnf_transformation,[status(thm)],[f46])).
% 0.08/0.39 fof(f48,plain,(
% 0.08/0.39 ![X,Z]: ((![Y]: (~compose(b,X)=Y|~compose(b,Z)=Y))|X=Z)),
% 0.08/0.39 inference(miniscoping,[status(thm)],[f20])).
% 0.08/0.39 fof(f49,plain,(
% 0.08/0.39 ![X0,X1,X2]: (~compose(b,X0)=X1|~compose(b,X2)=X1|X0=X2)),
% 0.08/0.39 inference(cnf_transformation,[status(thm)],[f48])).
% 0.08/0.39 fof(f51,plain,(
% 0.08/0.39 compose(compose(a,b),h)=compose(compose(a,b),g)),
% 0.08/0.39 inference(cnf_transformation,[status(thm)],[f22])).
% 0.08/0.39 fof(f52,plain,(
% 0.08/0.39 ~g=h),
% 0.08/0.39 inference(cnf_transformation,[status(thm)],[f23])).
% 0.08/0.39 fof(f56,plain,(
% 0.08/0.39 ![X0,X1]: (~compose(a,X0)=compose(a,X1)|X1=X0)),
% 0.08/0.39 inference(destructive_equality_resolution,[status(thm)],[f47])).
% 0.08/0.39 fof(f57,plain,(
% 0.08/0.39 ![X0,X1]: (~compose(b,X0)=compose(b,X1)|X1=X0)),
% 0.08/0.39 inference(destructive_equality_resolution,[status(thm)],[f49])).
% 0.08/0.39 fof(f68,plain,(
% 0.08/0.39 compose(compose(a,b),h)=compose(a,compose(b,g))),
% 0.08/0.39 inference(backward_demodulation,[status(thm)],[f34,f51])).
% 0.08/0.39 fof(f76,plain,(
% 0.08/0.39 compose(a,compose(b,h))=compose(a,compose(b,g))),
% 0.08/0.39 inference(forward_demodulation,[status(thm)],[f34,f68])).
% 0.08/0.39 fof(f143,plain,(
% 0.08/0.39 compose(b,g)=compose(b,h)),
% 0.08/0.39 inference(resolution,[status(thm)],[f56,f76])).
% 0.08/0.39 fof(f170,plain,(
% 0.08/0.39 h=g),
% 0.08/0.39 inference(resolution,[status(thm)],[f143,f57])).
% 0.08/0.39 fof(f178,plain,(
% 0.08/0.39 $false),
% 0.08/0.39 inference(forward_subsumption_resolution,[status(thm)],[f170,f52])).
% 0.08/0.39 % SZS output end CNFRefutation for theBenchmark.p
% 0.08/0.43 % Elapsed time: 0.051312 seconds
% 0.08/0.43 % CPU time: 0.155949 seconds
% 0.08/0.43 % Total memory used: 102.451 MB
% 0.08/0.43 % Net memory used: 102.094 MB
%------------------------------------------------------------------------------