%------------------------------------------------------------------------------
% File : Drodi-SAT---4.1.1
% Problem : CAT004-3 : 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 : n026.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 0.09s 0.54s
% Output : Assurance 0s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : CAT004-3 : TPTP v9.3.1. Released v1.0.0.
% 0.00/0.03 % Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.09/0.49 % Computer : n026.cluster.edu
% 0.09/0.49 % Model : x86_64 x86_64
% 0.09/0.49 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.49 % Memory : 8046.5625MB
% 0.09/0.49 % OS : Linux 6.8.0-71-generic
% 0.09/0.49 % CPULimit : 300
% 0.09/0.49 % WCLimit : 300
% 0.09/0.49 % DateTime : Mon Sep 21 13:58:08 UTC 2026
% 0.09/0.49 % CPUTime :
% 0.09/0.50 % Drodi V4.1.1
% 0.09/0.54 % Refutation found
% 0.09/0.54 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.09/0.54 % SZS output start CNFRefutation for theBenchmark
% 0.09/0.54 fof(f9,axiom,(
% 0.09/0.54 (![X,Y,Z]: (compose(X,compose(Y,Z)) = compose(compose(X,Y),Z) ))),
% 0.09/0.54 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.09/0.54 fof(f19,hypothesis,(
% 0.09/0.54 (![X,Y,Z]: (( compose(X,a) != Y| compose(Z,a) != Y| X = Z ) ))),
% 0.09/0.54 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.09/0.54 fof(f20,hypothesis,(
% 0.09/0.54 (![X,Y,Z]: (( compose(X,b) != Y| compose(Z,b) != Y| X = Z ) ))),
% 0.09/0.54 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.09/0.54 fof(f22,hypothesis,(
% 0.09/0.54 compose(h,compose(a,b)) = compose(g,compose(a,b)) ),
% 0.09/0.54 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.09/0.54 fof(f23,negated_conjecture,(
% 0.09/0.54 h != g ),
% 0.09/0.54 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.09/0.54 fof(f34,plain,(
% 0.09/0.54 ![X0,X1,X2]: (compose(X0,compose(X1,X2))=compose(compose(X0,X1),X2))),
% 0.09/0.54 inference(cnf_transformation,[status(thm)],[f9])).
% 0.09/0.54 fof(f46,plain,(
% 0.09/0.54 ![X,Z]: ((![Y]: (~compose(X,a)=Y|~compose(Z,a)=Y))|X=Z)),
% 0.09/0.54 inference(miniscoping,[status(thm)],[f19])).
% 0.09/0.54 fof(f47,plain,(
% 0.09/0.54 ![X0,X1,X2]: (~compose(X0,a)=X1|~compose(X2,a)=X1|X0=X2)),
% 0.09/0.54 inference(cnf_transformation,[status(thm)],[f46])).
% 0.09/0.54 fof(f48,plain,(
% 0.09/0.54 ![X,Z]: ((![Y]: (~compose(X,b)=Y|~compose(Z,b)=Y))|X=Z)),
% 0.09/0.54 inference(miniscoping,[status(thm)],[f20])).
% 0.09/0.54 fof(f49,plain,(
% 0.09/0.54 ![X0,X1,X2]: (~compose(X0,b)=X1|~compose(X2,b)=X1|X0=X2)),
% 0.09/0.54 inference(cnf_transformation,[status(thm)],[f48])).
% 0.09/0.54 fof(f51,plain,(
% 0.09/0.54 compose(h,compose(a,b))=compose(g,compose(a,b))),
% 0.09/0.54 inference(cnf_transformation,[status(thm)],[f22])).
% 0.09/0.54 fof(f52,plain,(
% 0.09/0.54 ~h=g),
% 0.09/0.54 inference(cnf_transformation,[status(thm)],[f23])).
% 0.09/0.54 fof(f56,plain,(
% 0.09/0.54 ![X0,X1]: (~compose(X0,a)=compose(X1,a)|X1=X0)),
% 0.09/0.54 inference(destructive_equality_resolution,[status(thm)],[f47])).
% 0.09/0.54 fof(f57,plain,(
% 0.09/0.54 ![X0,X1]: (~compose(X0,b)=compose(X1,b)|X1=X0)),
% 0.09/0.54 inference(destructive_equality_resolution,[status(thm)],[f49])).
% 0.09/0.54 fof(f67,plain,(
% 0.09/0.54 ![X0,X1,X2]: (~compose(X0,b)=compose(X1,compose(X2,b))|compose(X1,X2)=X0)),
% 0.09/0.54 inference(paramodulation,[status(thm)],[f34,f57])).
% 0.09/0.54 fof(f125,plain,(
% 0.09/0.54 ![X0]: (~compose(X0,b)=compose(g,compose(a,b))|compose(h,a)=X0)),
% 0.09/0.54 inference(paramodulation,[status(thm)],[f51,f67])).
% 0.09/0.54 fof(f163,plain,(
% 0.09/0.54 compose(h,a)=compose(g,a)),
% 0.09/0.54 inference(resolution,[status(thm)],[f125,f34])).
% 0.09/0.54 fof(f171,plain,(
% 0.09/0.54 g=h),
% 0.09/0.54 inference(resolution,[status(thm)],[f163,f56])).
% 0.09/0.54 fof(f182,plain,(
% 0.09/0.54 $false),
% 0.09/0.54 inference(forward_subsumption_resolution,[status(thm)],[f171,f52])).
% 0.09/0.54 % SZS output end CNFRefutation for theBenchmark.p
% 0.09/0.56 % Elapsed time: 0.066397 seconds
% 0.09/0.56 % CPU time: 0.251187 seconds
% 0.09/0.56 % Total memory used: 105.412 MB
% 0.09/0.56 % Net memory used: 104.894 MB
%------------------------------------------------------------------------------