%------------------------------------------------------------------------------
% File : Drodi-SAT---4.1.1
% Problem : CAT018-3 : 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 : n005.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 0.14s 0.70s
% Output : Assurance 0s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : CAT018-3 : TPTP v9.3.1. Released v1.0.0.
% 0.00/0.04 % Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.09/0.57 % Computer : n005.cluster.edu
% 0.09/0.57 % Model : x86_64 x86_64
% 0.09/0.57 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.57 % Memory : 8046.5625MB
% 0.09/0.57 % OS : Linux 6.8.0-71-generic
% 0.09/0.57 % CPULimit : 300
% 0.09/0.57 % WCLimit : 300
% 0.09/0.57 % DateTime : Mon Sep 21 13:56:03 UTC 2026
% 0.09/0.57 % CPUTime :
% 0.09/0.58 % Drodi V4.1.1
% 0.14/0.70 % Refutation found
% 0.14/0.70 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.14/0.70 % SZS output start CNFRefutation for theBenchmark
% 0.14/0.70 fof(f4,axiom,(
% 0.14/0.70 (![X]: (( ~ there_exists(domain(X))| there_exists(X) ) ))),
% 0.14/0.70 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.14/0.70 fof(f6,axiom,(
% 0.14/0.70 (![X,Y]: (( ~ there_exists(compose(X,Y))| there_exists(domain(X)) ) ))),
% 0.14/0.70 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.14/0.70 fof(f7,axiom,(
% 0.14/0.70 (![X,Y]: (( ~ there_exists(compose(X,Y))| domain(X) = codomain(Y) ) ))),
% 0.14/0.70 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.14/0.70 fof(f8,axiom,(
% 0.14/0.70 (![X,Y]: (( ~ there_exists(domain(X))| domain(X) != codomain(Y)| there_exists(compose(X,Y)) ) ))),
% 0.14/0.70 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.14/0.70 fof(f9,axiom,(
% 0.14/0.70 (![X,Y,Z]: (compose(X,compose(Y,Z)) = compose(compose(X,Y),Z) ))),
% 0.14/0.70 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.14/0.70 fof(f10,axiom,(
% 0.14/0.70 (![X]: (compose(X,domain(X)) = X ))),
% 0.14/0.70 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.14/0.70 fof(f11,axiom,(
% 0.14/0.70 (![X]: (compose(codomain(X),X) = X ))),
% 0.14/0.70 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.14/0.70 fof(f18,hypothesis,(
% 0.14/0.70 there_exists(compose(a,b)) ),
% 0.14/0.70 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.14/0.70 fof(f19,hypothesis,(
% 0.14/0.70 there_exists(compose(b,c)) ),
% 0.14/0.70 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.14/0.70 fof(f20,negated_conjecture,(
% 0.14/0.70 ~ there_exists(compose(a,compose(b,c))) ),
% 0.14/0.70 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.14/0.70 fof(f25,plain,(
% 0.14/0.70 ![X0]: (~there_exists(domain(X0))|there_exists(X0))),
% 0.14/0.70 inference(cnf_transformation,[status(thm)],[f4])).
% 0.14/0.70 fof(f27,plain,(
% 0.14/0.70 ![X]: ((![Y]: ~there_exists(compose(X,Y)))|there_exists(domain(X)))),
% 0.14/0.70 inference(miniscoping,[status(thm)],[f6])).
% 0.14/0.70 fof(f28,plain,(
% 0.14/0.70 ![X0,X1]: (~there_exists(compose(X0,X1))|there_exists(domain(X0)))),
% 0.14/0.70 inference(cnf_transformation,[status(thm)],[f27])).
% 0.14/0.70 fof(f29,plain,(
% 0.14/0.70 ![X0,X1]: (~there_exists(compose(X0,X1))|domain(X0)=codomain(X1))),
% 0.14/0.70 inference(cnf_transformation,[status(thm)],[f7])).
% 0.14/0.70 fof(f30,plain,(
% 0.14/0.70 ![X0,X1]: (~there_exists(domain(X0))|~domain(X0)=codomain(X1)|there_exists(compose(X0,X1)))),
% 0.14/0.70 inference(cnf_transformation,[status(thm)],[f8])).
% 0.14/0.70 fof(f31,plain,(
% 0.14/0.70 ![X0,X1,X2]: (compose(X0,compose(X1,X2))=compose(compose(X0,X1),X2))),
% 0.14/0.70 inference(cnf_transformation,[status(thm)],[f9])).
% 0.14/0.70 fof(f32,plain,(
% 0.14/0.70 ![X0]: (compose(X0,domain(X0))=X0)),
% 0.14/0.70 inference(cnf_transformation,[status(thm)],[f10])).
% 0.14/0.70 fof(f33,plain,(
% 0.14/0.70 ![X0]: (compose(codomain(X0),X0)=X0)),
% 0.14/0.70 inference(cnf_transformation,[status(thm)],[f11])).
% 0.14/0.70 fof(f42,plain,(
% 0.14/0.70 there_exists(compose(a,b))),
% 0.14/0.70 inference(cnf_transformation,[status(thm)],[f18])).
% 0.14/0.70 fof(f43,plain,(
% 0.14/0.70 there_exists(compose(b,c))),
% 0.14/0.70 inference(cnf_transformation,[status(thm)],[f19])).
% 0.14/0.70 fof(f44,plain,(
% 0.14/0.70 ~there_exists(compose(a,compose(b,c)))),
% 0.14/0.70 inference(cnf_transformation,[status(thm)],[f20])).
% 0.14/0.70 fof(f182,plain,(
% 0.14/0.70 ![X0,X1]: (compose(codomain(X0),compose(X0,X1))=compose(X0,X1))),
% 0.14/0.70 inference(paramodulation,[status(thm)],[f33,f31])).
% 0.14/0.70 fof(f187,plain,(
% 0.14/0.70 there_exists(domain(a))),
% 0.14/0.70 inference(resolution,[status(thm)],[f28,f42])).
% 0.14/0.70 fof(f199,plain,(
% 0.14/0.70 there_exists(a)),
% 0.14/0.70 inference(resolution,[status(thm)],[f187,f25])).
% 0.14/0.70 fof(f209,plain,(
% 0.14/0.70 domain(a)=codomain(b)),
% 0.14/0.70 inference(resolution,[status(thm)],[f29,f42])).
% 0.14/0.70 fof(f210,plain,(
% 0.14/0.70 ![X0]: (~there_exists(X0)|domain(codomain(X0))=codomain(X0))),
% 0.14/0.70 inference(paramodulation,[status(thm)],[f33,f29])).
% 0.14/0.70 fof(f220,plain,(
% 0.14/0.70 there_exists(codomain(b))),
% 0.14/0.70 inference(backward_demodulation,[status(thm)],[f209,f187])).
% 0.14/0.70 fof(f255,plain,(
% 0.14/0.70 ![X0,X1]: (~there_exists(compose(X0,X1))|domain(codomain(X0))=codomain(compose(X0,X1)))),
% 0.14/0.70 inference(paramodulation,[status(thm)],[f182,f29])).
% 0.14/0.70 fof(f302,plain,(
% 0.14/0.70 ![X0]: (~there_exists(codomain(b))|~domain(a)=codomain(X0)|there_exists(compose(a,X0)))),
% 0.14/0.70 inference(paramodulation,[status(thm)],[f209,f30])).
% 0.14/0.70 fof(f307,plain,(
% 0.14/0.70 compose(a,codomain(b))=a),
% 0.14/0.70 inference(paramodulation,[status(thm)],[f209,f32])).
% 0.14/0.70 fof(f308,plain,(
% 0.14/0.70 ![X0]: (~there_exists(codomain(b))|~codomain(b)=codomain(X0)|there_exists(compose(a,X0)))),
% 0.14/0.70 inference(forward_demodulation,[status(thm)],[f209,f302])).
% 0.14/0.70 fof(f309,plain,(
% 0.14/0.70 ![X0]: (~codomain(b)=codomain(X0)|there_exists(compose(a,X0)))),
% 0.14/0.70 inference(forward_subsumption_resolution,[status(thm)],[f308,f220])).
% 0.14/0.70 fof(f400,plain,(
% 0.14/0.70 ~there_exists(a)|domain(a)=codomain(codomain(b))),
% 0.14/0.70 inference(paramodulation,[status(thm)],[f307,f29])).
% 0.14/0.70 fof(f406,plain,(
% 0.14/0.70 ~there_exists(a)|codomain(b)=codomain(codomain(b))),
% 0.14/0.70 inference(forward_demodulation,[status(thm)],[f209,f400])).
% 0.14/0.70 fof(f408,plain,(
% 0.14/0.70 codomain(b)=codomain(codomain(b))),
% 0.14/0.70 inference(forward_subsumption_resolution,[status(thm)],[f406,f199])).
% 0.14/0.70 fof(f437,plain,(
% 0.14/0.70 domain(codomain(codomain(b)))=codomain(codomain(b))),
% 0.14/0.70 inference(resolution,[status(thm)],[f210,f220])).
% 0.14/0.70 fof(f447,plain,(
% 0.14/0.70 domain(codomain(b))=codomain(codomain(b))),
% 0.14/0.70 inference(forward_demodulation,[status(thm)],[f408,f437])).
% 0.14/0.70 fof(f450,plain,(
% 0.14/0.70 domain(codomain(b))=codomain(b)),
% 0.14/0.70 inference(forward_demodulation,[status(thm)],[f408,f447])).
% 0.14/0.70 fof(f1144,plain,(
% 0.14/0.70 ~codomain(b)=codomain(compose(b,c))),
% 0.14/0.70 inference(resolution,[status(thm)],[f309,f44])).
% 0.14/0.70 fof(f2186,plain,(
% 0.14/0.70 domain(codomain(b))=codomain(compose(b,c))),
% 0.14/0.70 inference(resolution,[status(thm)],[f255,f43])).
% 0.14/0.70 fof(f2219,plain,(
% 0.14/0.70 codomain(b)=codomain(compose(b,c))),
% 0.14/0.70 inference(forward_demodulation,[status(thm)],[f450,f2186])).
% 0.14/0.70 fof(f2220,plain,(
% 0.14/0.70 $false),
% 0.14/0.70 inference(forward_subsumption_resolution,[status(thm)],[f2219,f1144])).
% 0.14/0.70 % SZS output end CNFRefutation for theBenchmark.p
% 0.14/0.72 % Elapsed time: 0.140971 seconds
% 0.14/0.72 % CPU time: 0.906795 seconds
% 0.14/0.72 % Total memory used: 122.143 MB
% 0.14/0.72 % Net memory used: 120.342 MB
%------------------------------------------------------------------------------