%------------------------------------------------------------------------------
% File : Drodi-SAT---4.1.1
% Problem : CAT004-4 : 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 : n006.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 0.21s 0.75s
% Output : Assurance 0s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.04 % Problem : CAT004-4 : TPTP v9.3.1. Released v1.0.0.
% 0.00/0.06 % Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.16/0.64 % Computer : n006.cluster.edu
% 0.16/0.64 % Model : x86_64 x86_64
% 0.16/0.64 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.16/0.64 % Memory : 8046.5625MB
% 0.16/0.64 % OS : Linux 6.8.0-71-generic
% 0.16/0.64 % CPULimit : 300
% 0.16/0.64 % WCLimit : 300
% 0.16/0.64 % DateTime : Mon Sep 21 13:55:13 UTC 2026
% 0.16/0.64 % CPUTime :
% 0.21/0.65 % Drodi V4.1.1
% 0.21/0.75 % Refutation found
% 0.21/0.75 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.21/0.75 % SZS output start CNFRefutation for theBenchmark
% 0.21/0.75 fof(f9,axiom,(
% 0.21/0.75 (![X,Y,Z]: (compose(X,compose(Y,Z)) = compose(compose(X,Y),Z) ))),
% 0.21/0.75 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.21/0.75 fof(f13,hypothesis,(
% 0.21/0.75 (![X,Y,Z]: (( compose(X,a) != Y| compose(Z,a) != Y| X = Z ) ))),
% 0.21/0.75 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.21/0.75 fof(f14,hypothesis,(
% 0.21/0.75 (![X,Y,Z]: (( compose(X,b) != Y| compose(Z,b) != Y| X = Z ) ))),
% 0.21/0.75 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.21/0.75 fof(f16,hypothesis,(
% 0.21/0.75 compose(h,compose(a,b)) = compose(g,compose(a,b)) ),
% 0.21/0.75 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.21/0.75 fof(f17,negated_conjecture,(
% 0.21/0.75 h != g ),
% 0.21/0.75 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.21/0.75 fof(f28,plain,(
% 0.21/0.75 ![X0,X1,X2]: (compose(X0,compose(X1,X2))=compose(compose(X0,X1),X2))),
% 0.21/0.75 inference(cnf_transformation,[status(thm)],[f9])).
% 0.21/0.75 fof(f32,plain,(
% 0.21/0.75 ![X,Z]: ((![Y]: (~compose(X,a)=Y|~compose(Z,a)=Y))|X=Z)),
% 0.21/0.75 inference(miniscoping,[status(thm)],[f13])).
% 0.21/0.75 fof(f33,plain,(
% 0.21/0.75 ![X0,X1,X2]: (~compose(X0,a)=X1|~compose(X2,a)=X1|X0=X2)),
% 0.21/0.75 inference(cnf_transformation,[status(thm)],[f32])).
% 0.21/0.75 fof(f34,plain,(
% 0.21/0.75 ![X,Z]: ((![Y]: (~compose(X,b)=Y|~compose(Z,b)=Y))|X=Z)),
% 0.21/0.75 inference(miniscoping,[status(thm)],[f14])).
% 0.21/0.75 fof(f35,plain,(
% 0.21/0.75 ![X0,X1,X2]: (~compose(X0,b)=X1|~compose(X2,b)=X1|X0=X2)),
% 0.21/0.75 inference(cnf_transformation,[status(thm)],[f34])).
% 0.21/0.75 fof(f37,plain,(
% 0.21/0.75 compose(h,compose(a,b))=compose(g,compose(a,b))),
% 0.21/0.75 inference(cnf_transformation,[status(thm)],[f16])).
% 0.21/0.75 fof(f38,plain,(
% 0.21/0.75 ~h=g),
% 0.21/0.75 inference(cnf_transformation,[status(thm)],[f17])).
% 0.21/0.75 fof(f40,plain,(
% 0.21/0.75 ![X0,X1]: (~compose(X0,a)=compose(X1,a)|X1=X0)),
% 0.21/0.75 inference(destructive_equality_resolution,[status(thm)],[f33])).
% 0.21/0.75 fof(f41,plain,(
% 0.21/0.75 ![X0,X1]: (~compose(X0,b)=compose(X1,b)|X1=X0)),
% 0.21/0.75 inference(destructive_equality_resolution,[status(thm)],[f35])).
% 0.21/0.75 fof(f435,plain,(
% 0.21/0.75 ![X0,X1,X2]: (~compose(X0,compose(X1,b))=compose(X2,b)|X2=compose(X0,X1))),
% 0.21/0.75 inference(paramodulation,[status(thm)],[f28,f41])).
% 0.21/0.75 fof(f1569,plain,(
% 0.21/0.75 ![X0]: (~compose(h,compose(a,b))=compose(X0,b)|X0=compose(g,a))),
% 0.21/0.75 inference(paramodulation,[status(thm)],[f37,f435])).
% 0.21/0.75 fof(f2468,plain,(
% 0.21/0.75 compose(h,a)=compose(g,a)),
% 0.21/0.75 inference(resolution,[status(thm)],[f1569,f28])).
% 0.21/0.75 fof(f2491,plain,(
% 0.21/0.75 g=h),
% 0.21/0.75 inference(resolution,[status(thm)],[f2468,f40])).
% 0.21/0.75 fof(f2506,plain,(
% 0.21/0.75 $false),
% 0.21/0.75 inference(forward_subsumption_resolution,[status(thm)],[f2491,f38])).
% 0.21/0.75 % SZS output end CNFRefutation for theBenchmark.p
% 0.21/0.77 % Elapsed time: 0.114990 seconds
% 0.21/0.77 % CPU time: 0.631371 seconds
% 0.21/0.77 % Total memory used: 77.206 MB
% 0.21/0.77 % Net memory used: 76.732 MB
%------------------------------------------------------------------------------