%------------------------------------------------------------------------------
% File : Drodi-SAT---4.1.1
% Problem : CAT018-4 : 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 : n002.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 12:07:45 PM UTC 2026
% Result : Unsatisfiable 0.12s 0.41s
% Output : Assurance 0s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : CAT018-4 : TPTP v9.3.1. Released v1.0.0.
% 0.00/0.04 % Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.08/0.35 % Computer : n002.cluster.edu
% 0.08/0.35 % Model : x86_64 x86_64
% 0.08/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.35 % Memory : 8046.5625MB
% 0.08/0.35 % OS : Linux 6.8.0-71-generic
% 0.08/0.35 % CPULimit : 300
% 0.08/0.35 % WCLimit : 300
% 0.08/0.35 % DateTime : Mon Sep 21 13:59:17 UTC 2026
% 0.08/0.35 % CPUTime :
% 0.08/0.36 % Drodi V4.1.1
% 0.12/0.41 % Refutation found
% 0.12/0.41 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.12/0.41 % SZS output start CNFRefutation for theBenchmark
% 0.12/0.41 fof(f4,axiom,(
% 0.12/0.41 (![X]: (( ~ there_exists(domain(X))| there_exists(X) ) ))),
% 0.12/0.41 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.12/0.41 fof(f6,axiom,(
% 0.12/0.41 (![X,Y]: (( ~ there_exists(compose(X,Y))| there_exists(domain(X)) ) ))),
% 0.12/0.41 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.12/0.41 fof(f7,axiom,(
% 0.12/0.41 (![X,Y]: (( ~ there_exists(compose(X,Y))| domain(X) = codomain(Y) ) ))),
% 0.12/0.41 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.12/0.41 fof(f8,axiom,(
% 0.12/0.41 (![X,Y]: (( ~ there_exists(domain(X))| domain(X) != codomain(Y)| there_exists(compose(X,Y)) ) ))),
% 0.12/0.41 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.12/0.41 fof(f9,axiom,(
% 0.12/0.41 (![X,Y,Z]: (compose(X,compose(Y,Z)) = compose(compose(X,Y),Z) ))),
% 0.12/0.41 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.12/0.41 fof(f11,axiom,(
% 0.12/0.41 (![X]: (compose(codomain(X),X) = X ))),
% 0.12/0.41 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.12/0.41 fof(f12,hypothesis,(
% 0.12/0.41 there_exists(compose(a,b)) ),
% 0.12/0.41 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.12/0.41 fof(f13,hypothesis,(
% 0.12/0.41 there_exists(compose(b,c)) ),
% 0.12/0.41 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.12/0.41 fof(f14,negated_conjecture,(
% 0.12/0.41 ~ there_exists(compose(a,compose(b,c))) ),
% 0.12/0.41 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.12/0.41 fof(f19,plain,(
% 0.12/0.41 ![X0]: (~there_exists(domain(X0))|there_exists(X0))),
% 0.12/0.41 inference(cnf_transformation,[status(thm)],[f4])).
% 0.12/0.41 fof(f21,plain,(
% 0.12/0.41 ![X]: ((![Y]: ~there_exists(compose(X,Y)))|there_exists(domain(X)))),
% 0.12/0.41 inference(miniscoping,[status(thm)],[f6])).
% 0.12/0.41 fof(f22,plain,(
% 0.12/0.41 ![X0,X1]: (~there_exists(compose(X0,X1))|there_exists(domain(X0)))),
% 0.12/0.41 inference(cnf_transformation,[status(thm)],[f21])).
% 0.12/0.41 fof(f23,plain,(
% 0.12/0.41 ![X0,X1]: (~there_exists(compose(X0,X1))|domain(X0)=codomain(X1))),
% 0.12/0.41 inference(cnf_transformation,[status(thm)],[f7])).
% 0.12/0.41 fof(f24,plain,(
% 0.12/0.41 ![X0,X1]: (~there_exists(domain(X0))|~domain(X0)=codomain(X1)|there_exists(compose(X0,X1)))),
% 0.12/0.41 inference(cnf_transformation,[status(thm)],[f8])).
% 0.12/0.41 fof(f25,plain,(
% 0.12/0.41 ![X0,X1,X2]: (compose(X0,compose(X1,X2))=compose(compose(X0,X1),X2))),
% 0.12/0.41 inference(cnf_transformation,[status(thm)],[f9])).
% 0.12/0.41 fof(f27,plain,(
% 0.12/0.41 ![X0]: (compose(codomain(X0),X0)=X0)),
% 0.12/0.41 inference(cnf_transformation,[status(thm)],[f11])).
% 0.12/0.41 fof(f28,plain,(
% 0.12/0.41 there_exists(compose(a,b))),
% 0.12/0.41 inference(cnf_transformation,[status(thm)],[f12])).
% 0.12/0.41 fof(f29,plain,(
% 0.12/0.41 there_exists(compose(b,c))),
% 0.12/0.41 inference(cnf_transformation,[status(thm)],[f13])).
% 0.12/0.41 fof(f30,plain,(
% 0.12/0.41 ~there_exists(compose(a,compose(b,c)))),
% 0.12/0.41 inference(cnf_transformation,[status(thm)],[f14])).
% 0.12/0.41 fof(f40,plain,(
% 0.12/0.41 ![X0,X1]: (compose(codomain(X0),compose(X0,X1))=compose(X0,X1))),
% 0.12/0.41 inference(paramodulation,[status(thm)],[f27,f25])).
% 0.12/0.41 fof(f41,plain,(
% 0.12/0.41 there_exists(domain(b))),
% 0.12/0.41 inference(resolution,[status(thm)],[f22,f29])).
% 0.12/0.41 fof(f42,plain,(
% 0.12/0.41 there_exists(domain(a))),
% 0.12/0.41 inference(resolution,[status(thm)],[f22,f28])).
% 0.12/0.41 fof(f46,plain,(
% 0.12/0.41 there_exists(b)),
% 0.12/0.41 inference(resolution,[status(thm)],[f41,f19])).
% 0.12/0.41 fof(f81,plain,(
% 0.12/0.41 domain(a)=codomain(b)),
% 0.12/0.41 inference(resolution,[status(thm)],[f23,f28])).
% 0.12/0.41 fof(f82,plain,(
% 0.12/0.41 ![X0]: (~there_exists(X0)|domain(codomain(X0))=codomain(X0))),
% 0.12/0.41 inference(paramodulation,[status(thm)],[f27,f23])).
% 0.12/0.41 fof(f86,plain,(
% 0.12/0.41 ![X0]: (~domain(a)=codomain(X0)|there_exists(compose(a,X0)))),
% 0.12/0.41 inference(resolution,[status(thm)],[f24,f42])).
% 0.12/0.41 fof(f128,plain,(
% 0.12/0.41 ![X0,X1]: (~there_exists(compose(X0,X1))|domain(codomain(X0))=codomain(compose(X0,X1)))),
% 0.12/0.41 inference(paramodulation,[status(thm)],[f40,f23])).
% 0.12/0.41 fof(f181,plain,(
% 0.12/0.41 domain(codomain(b))=codomain(b)),
% 0.12/0.41 inference(resolution,[status(thm)],[f82,f46])).
% 0.12/0.41 fof(f710,plain,(
% 0.12/0.41 ![X0]: (~codomain(b)=codomain(X0)|there_exists(compose(a,X0)))),
% 0.12/0.41 inference(forward_demodulation,[status(thm)],[f81,f86])).
% 0.12/0.41 fof(f711,plain,(
% 0.12/0.41 ~codomain(b)=codomain(compose(b,c))),
% 0.12/0.41 inference(resolution,[status(thm)],[f710,f30])).
% 0.12/0.41 fof(f1459,plain,(
% 0.12/0.41 domain(codomain(b))=codomain(compose(b,c))),
% 0.12/0.41 inference(resolution,[status(thm)],[f128,f29])).
% 0.12/0.41 fof(f1482,plain,(
% 0.12/0.41 codomain(b)=codomain(compose(b,c))),
% 0.12/0.41 inference(forward_demodulation,[status(thm)],[f181,f1459])).
% 0.12/0.41 fof(f1483,plain,(
% 0.12/0.41 $false),
% 0.12/0.41 inference(forward_subsumption_resolution,[status(thm)],[f1482,f711])).
% 0.12/0.41 % SZS output end CNFRefutation for theBenchmark.p
% 0.12/0.43 % Elapsed time: 0.076053 seconds
% 0.12/0.43 % CPU time: 0.310625 seconds
% 0.12/0.43 % Total memory used: 71.758 MB
% 0.12/0.43 % Net memory used: 71.244 MB
%------------------------------------------------------------------------------