%------------------------------------------------------------------------------
% File : Drodi-SAT---4.1.1
% Problem : CAT003-2 : 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 : n009.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 0.14s 0.72s
% Output : Assurance 0s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : CAT003-2 : TPTP v9.3.1. Released v1.0.0.
% 0.00/0.04 % Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.09/0.54 % Computer : n009.cluster.edu
% 0.09/0.54 % Model : x86_64 x86_64
% 0.09/0.54 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.54 % Memory : 8046.5625MB
% 0.09/0.54 % OS : Linux 6.8.0-71-generic
% 0.09/0.54 % CPULimit : 300
% 0.09/0.54 % WCLimit : 300
% 0.09/0.54 % DateTime : Mon Sep 21 13:55:29 UTC 2026
% 0.09/0.55 % CPUTime :
% 0.09/0.55 % Drodi V4.1.1
% 0.14/0.72 % Refutation found
% 0.14/0.72 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.14/0.72 % SZS output start CNFRefutation for theBenchmark
% 0.14/0.72 fof(f6,axiom,(
% 0.14/0.72 (![X,Y]: (( codomain(X) != domain(Y)| codomain(compose(X,Y)) = codomain(Y) ) ))),
% 0.14/0.72 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.14/0.72 fof(f7,axiom,(
% 0.14/0.72 (![X,Y,Z]: (( codomain(X) != domain(Y)| codomain(Y) != domain(Z)| compose(X,compose(Y,Z)) = compose(compose(X,Y),Z) ) ))),
% 0.14/0.72 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.14/0.72 fof(f8,hypothesis,(
% 0.14/0.72 (![X,Y,Z]: (( codomain(compose(a,b)) != domain(X)| compose(compose(a,b),X) != Y| codomain(compose(a,b)) != domain(Z)| compose(compose(a,b),Z) != Y| X = Z ) ))),
% 0.14/0.72 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.14/0.72 fof(f9,hypothesis,(
% 0.14/0.72 codomain(a) = domain(b) ),
% 0.14/0.72 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.14/0.72 fof(f10,hypothesis,(
% 0.14/0.72 codomain(b) = domain(h) ),
% 0.14/0.72 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.14/0.72 fof(f11,hypothesis,(
% 0.14/0.72 codomain(b) = domain(g) ),
% 0.14/0.72 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.14/0.72 fof(f12,hypothesis,(
% 0.14/0.72 compose(b,h) = compose(b,g) ),
% 0.14/0.72 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.14/0.72 fof(f13,negated_conjecture,(
% 0.14/0.72 g != h ),
% 0.14/0.72 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.14/0.72 fof(f19,plain,(
% 0.14/0.72 ![X0,X1]: (~codomain(X0)=domain(X1)|codomain(compose(X0,X1))=codomain(X1))),
% 0.14/0.72 inference(cnf_transformation,[status(thm)],[f6])).
% 0.14/0.72 fof(f20,plain,(
% 0.14/0.72 ![X0,X1,X2]: (~codomain(X0)=domain(X1)|~codomain(X1)=domain(X2)|compose(X0,compose(X1,X2))=compose(compose(X0,X1),X2))),
% 0.14/0.72 inference(cnf_transformation,[status(thm)],[f7])).
% 0.14/0.72 fof(f21,plain,(
% 0.14/0.72 ![X,Z]: ((![Y]: (((~codomain(compose(a,b))=domain(X)|~compose(compose(a,b),X)=Y)|~codomain(compose(a,b))=domain(Z))|~compose(compose(a,b),Z)=Y))|X=Z)),
% 0.14/0.72 inference(miniscoping,[status(thm)],[f8])).
% 0.14/0.72 fof(f22,plain,(
% 0.14/0.72 ![X0,X1,X2]: (~codomain(compose(a,b))=domain(X0)|~compose(compose(a,b),X0)=X1|~codomain(compose(a,b))=domain(X2)|~compose(compose(a,b),X2)=X1|X0=X2)),
% 0.14/0.72 inference(cnf_transformation,[status(thm)],[f21])).
% 0.14/0.72 fof(f23,plain,(
% 0.14/0.72 codomain(a)=domain(b)),
% 0.14/0.72 inference(cnf_transformation,[status(thm)],[f9])).
% 0.14/0.72 fof(f24,plain,(
% 0.14/0.72 codomain(b)=domain(h)),
% 0.14/0.72 inference(cnf_transformation,[status(thm)],[f10])).
% 0.14/0.72 fof(f25,plain,(
% 0.14/0.72 codomain(b)=domain(g)),
% 0.14/0.72 inference(cnf_transformation,[status(thm)],[f11])).
% 0.14/0.72 fof(f26,plain,(
% 0.14/0.72 compose(b,h)=compose(b,g)),
% 0.14/0.72 inference(cnf_transformation,[status(thm)],[f12])).
% 0.14/0.72 fof(f27,plain,(
% 0.14/0.72 ~g=h),
% 0.14/0.72 inference(cnf_transformation,[status(thm)],[f13])).
% 0.14/0.72 fof(f28,plain,(
% 0.14/0.72 ![X0,X1]: (~codomain(compose(a,b))=domain(X0)|~codomain(compose(a,b))=domain(X1)|~compose(compose(a,b),X1)=compose(compose(a,b),X0)|X0=X1)),
% 0.14/0.72 inference(destructive_equality_resolution,[status(thm)],[f22])).
% 0.14/0.72 fof(f29,plain,(
% 0.14/0.72 domain(h)=domain(g)),
% 0.14/0.72 inference(forward_demodulation,[status(thm)],[f24,f25])).
% 0.14/0.72 fof(f113,plain,(
% 0.14/0.72 codomain(compose(a,b))=codomain(b)),
% 0.14/0.72 inference(resolution,[status(thm)],[f19,f23])).
% 0.14/0.72 fof(f122,plain,(
% 0.14/0.72 ![X0,X1]: (~codomain(compose(a,b))=domain(X0)|~domain(h)=domain(X1)|~compose(compose(a,b),X1)=compose(compose(a,b),X0)|X0=X1)),
% 0.14/0.72 inference(backward_demodulation,[status(thm)],[f123,f28])).
% 0.14/0.72 fof(f123,plain,(
% 0.14/0.72 codomain(compose(a,b))=domain(h)),
% 0.14/0.72 inference(forward_demodulation,[status(thm)],[f24,f113])).
% 0.14/0.72 fof(f127,plain,(
% 0.14/0.72 ![X0,X1]: (~domain(h)=domain(X0)|~domain(h)=domain(X1)|~compose(compose(a,b),X1)=compose(compose(a,b),X0)|X0=X1)),
% 0.14/0.72 inference(forward_demodulation,[status(thm)],[f123,f122])).
% 0.14/0.72 fof(f203,plain,(
% 0.14/0.72 ![X0]: (~codomain(b)=domain(X0)|compose(a,compose(b,X0))=compose(compose(a,b),X0))),
% 0.14/0.72 inference(resolution,[status(thm)],[f20,f23])).
% 0.14/0.72 fof(f217,plain,(
% 0.14/0.72 ![X0]: (~domain(h)=domain(X0)|compose(a,compose(b,X0))=compose(compose(a,b),X0))),
% 0.14/0.72 inference(forward_demodulation,[status(thm)],[f24,f203])).
% 0.14/0.72 fof(f438,definition,(
% 0.14/0.72 sQ7_spl <=> (domain(h)=domain(h))),
% 0.14/0.72 introduced(definition,[new_symbols(definition,[sQ7_spl])],[split_symbol_definition])).
% 0.14/0.72 fof(f440,plain,(
% 0.14/0.72 ~domain(h)=domain(h)|sQ7_spl),
% 0.14/0.72 inference(component_clause,[status(thm)],[f438])).
% 0.14/0.72 fof(f447,plain,(
% 0.14/0.72 $false|sQ7_spl),
% 0.14/0.72 inference(trivial_equality_resolution,[status(thm)],[f440])).
% 0.14/0.72 fof(f448,plain,(
% 0.14/0.72 sQ7_spl),
% 0.14/0.72 inference(contradiction_clause,[status(thm)],[f447])).
% 0.14/0.72 fof(f896,plain,(
% 0.14/0.72 compose(a,compose(b,g))=compose(compose(a,b),g)),
% 0.14/0.72 inference(resolution,[status(thm)],[f217,f29])).
% 0.14/0.72 fof(f905,plain,(
% 0.14/0.72 compose(a,compose(b,h))=compose(compose(a,b),h)),
% 0.14/0.72 inference(equality_resolution,[status(thm)],[f217])).
% 0.14/0.72 fof(f906,plain,(
% 0.14/0.72 compose(a,compose(b,h))=compose(compose(a,b),g)),
% 0.14/0.72 inference(forward_demodulation,[status(thm)],[f26,f896])).
% 0.14/0.72 fof(f1189,definition,(
% 0.14/0.72 sQ49_spl <=> (domain(h)=domain(g))),
% 0.14/0.72 introduced(definition,[new_symbols(definition,[sQ49_spl])],[split_symbol_definition])).
% 0.14/0.72 fof(f1191,plain,(
% 0.14/0.72 ~domain(h)=domain(g)|sQ49_spl),
% 0.14/0.72 inference(component_clause,[status(thm)],[f1189])).
% 0.14/0.72 fof(f1227,plain,(
% 0.14/0.72 ~domain(h)=domain(h)|sQ49_spl),
% 0.14/0.72 inference(forward_demodulation,[status(thm)],[f29,f1191])).
% 0.14/0.72 fof(f1228,plain,(
% 0.14/0.72 $false|sQ49_spl),
% 0.14/0.72 inference(trivial_equality_resolution,[status(thm)],[f1227])).
% 0.14/0.72 fof(f1229,plain,(
% 0.14/0.72 sQ49_spl),
% 0.14/0.72 inference(contradiction_clause,[status(thm)],[f1228])).
% 0.14/0.72 fof(f2380,plain,(
% 0.14/0.72 ![X0]: (~domain(h)=domain(g)|~domain(h)=domain(X0)|~compose(compose(a,b),X0)=compose(a,compose(b,h))|g=X0)),
% 0.14/0.72 inference(paramodulation,[status(thm)],[f906,f127])).
% 0.14/0.72 fof(f2382,definition,(
% 0.14/0.72 ![X0]: (sQ145_spl <=> (~domain(h)=domain(X0)|~compose(compose(a,b),X0)=compose(a,compose(b,h))|g=X0))),
% 0.14/0.72 introduced(definition,[new_symbols(definition,[sQ145_spl])],[split_symbol_definition])).
% 0.14/0.72 fof(f2383,plain,(
% 0.14/0.72 ![X0]: (~domain(h)=domain(X0)|~compose(compose(a,b),X0)=compose(a,compose(b,h))|g=X0|~sQ145_spl)),
% 0.14/0.72 inference(component_clause,[status(thm)],[f2382])).
% 0.14/0.72 fof(f2385,plain,(
% 0.14/0.72 ~sQ49_spl|sQ145_spl),
% 0.14/0.72 inference(split_clause,[status(thm)],[f2380,f1189,f2382])).
% 0.14/0.72 fof(f6083,plain,(
% 0.14/0.72 ~domain(h)=domain(h)|g=h|~sQ145_spl),
% 0.14/0.72 inference(resolution,[status(thm)],[f2383,f905])).
% 0.14/0.72 fof(f6089,definition,(
% 0.14/0.72 sQ493_spl <=> (g=h)),
% 0.14/0.72 introduced(definition,[new_symbols(definition,[sQ493_spl])],[split_symbol_definition])).
% 0.14/0.72 fof(f6090,plain,(
% 0.14/0.72 g=h|~sQ493_spl),
% 0.14/0.72 inference(component_clause,[status(thm)],[f6089])).
% 0.14/0.72 fof(f6092,plain,(
% 0.14/0.72 ~sQ7_spl|sQ493_spl|~sQ145_spl),
% 0.14/0.72 inference(split_clause,[status(thm)],[f6083,f438,f6089,f2382])).
% 0.14/0.72 fof(f6107,plain,(
% 0.14/0.72 $false|~sQ493_spl),
% 0.14/0.72 inference(forward_subsumption_resolution,[status(thm)],[f6090,f27])).
% 0.14/0.72 fof(f6108,plain,(
% 0.14/0.72 ~sQ493_spl),
% 0.14/0.72 inference(contradiction_clause,[status(thm)],[f6107])).
% 0.14/0.72 fof(f6109,plain,(
% 0.14/0.72 $false),
% 0.14/0.72 inference(sat_refutation,[status(thm)],[f448,f1229,f2385,f6092,f6108])).
% 0.14/0.72 % SZS output end CNFRefutation for theBenchmark.p
% 0.14/0.74 % Elapsed time: 0.177338 seconds
% 0.14/0.74 % CPU time: 1.232024 seconds
% 0.14/0.74 % Total memory used: 88.858 MB
% 0.14/0.74 % Net memory used: 86.939 MB
%------------------------------------------------------------------------------