%------------------------------------------------------------------------------
% File : Drodi-SAT---4.1.1
% Problem : SET558-6 : TPTP v9.3.1. Bugfixed v2.1.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% Computer : n011.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 02:12:11 PM UTC 2026
% Result : Unsatisfiable 0.22s 0.54s
% Output : Assurance 0s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.04 % Problem : SET558-6 : TPTP v9.3.1. Bugfixed v2.1.0.
% 0.00/0.05 % Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.18/0.47 % Computer : n011.cluster.edu
% 0.18/0.47 % Model : x86_64 x86_64
% 0.18/0.47 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.18/0.47 % Memory : 8046.5625MB
% 0.18/0.47 % OS : Linux 6.8.0-71-generic
% 0.18/0.47 % CPULimit : 300
% 0.18/0.47 % WCLimit : 300
% 0.18/0.47 % DateTime : Mon Sep 21 05:25:55 UTC 2026
% 0.18/0.48 % CPUTime :
% 0.18/0.50 % Drodi V4.1.1
% 0.22/0.54 % Refutation found
% 0.22/0.54 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.22/0.54 % SZS output start CNFRefutation for theBenchmark
% 0.22/0.54 fof(f79,axiom,(
% 0.22/0.54 (![Xf]: (( ~ operation(Xf)| cross_product(domain_of(domain_of(Xf)),domain_of(domain_of(Xf))) = domain_of(Xf) ) ))),
% 0.22/0.54 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.22/0.54 fof(f83,axiom,(
% 0.22/0.54 (![Xh,Xf1,Xf2]: (( ~ compatible(Xh,Xf1,Xf2)| domain_of(domain_of(Xf1)) = domain_of(Xh) ) ))),
% 0.22/0.54 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.22/0.54 fof(f113,negated_conjecture,(
% 0.22/0.54 operation(xf1) ),
% 0.22/0.54 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.22/0.54 fof(f114,negated_conjecture,(
% 0.22/0.54 compatible(xh,xf1,xf2) ),
% 0.22/0.54 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.22/0.54 fof(f115,negated_conjecture,(
% 0.22/0.54 cross_product(domain_of(xh),domain_of(xh)) != domain_of(xf1) ),
% 0.22/0.54 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.22/0.54 fof(f203,plain,(
% 0.22/0.54 ![X0]: (~operation(X0)|cross_product(domain_of(domain_of(X0)),domain_of(domain_of(X0)))=domain_of(X0))),
% 0.22/0.54 inference(cnf_transformation,[status(thm)],[f79])).
% 0.22/0.54 fof(f208,plain,(
% 0.22/0.54 ![Xh,Xf1]: ((![Xf2]: ~compatible(Xh,Xf1,Xf2))|domain_of(domain_of(Xf1))=domain_of(Xh))),
% 0.22/0.54 inference(miniscoping,[status(thm)],[f83])).
% 0.22/0.54 fof(f209,plain,(
% 0.22/0.54 ![X0,X1,X2]: (~compatible(X0,X1,X2)|domain_of(domain_of(X1))=domain_of(X0))),
% 0.22/0.54 inference(cnf_transformation,[status(thm)],[f208])).
% 0.22/0.54 fof(f247,plain,(
% 0.22/0.54 operation(xf1)),
% 0.22/0.54 inference(cnf_transformation,[status(thm)],[f113])).
% 0.22/0.54 fof(f248,plain,(
% 0.22/0.54 compatible(xh,xf1,xf2)),
% 0.22/0.54 inference(cnf_transformation,[status(thm)],[f114])).
% 0.22/0.54 fof(f249,plain,(
% 0.22/0.54 ~cross_product(domain_of(xh),domain_of(xh))=domain_of(xf1)),
% 0.22/0.54 inference(cnf_transformation,[status(thm)],[f115])).
% 0.22/0.54 fof(f256,plain,(
% 0.22/0.54 domain_of(domain_of(xf1))=domain_of(xh)),
% 0.22/0.54 inference(resolution,[status(thm)],[f209,f248])).
% 0.22/0.54 fof(f258,plain,(
% 0.22/0.54 cross_product(domain_of(domain_of(xf1)),domain_of(domain_of(xf1)))=domain_of(xf1)),
% 0.22/0.54 inference(resolution,[status(thm)],[f203,f247])).
% 0.22/0.54 fof(f259,plain,(
% 0.22/0.54 cross_product(domain_of(xh),domain_of(domain_of(xf1)))=domain_of(xf1)),
% 0.22/0.54 inference(forward_demodulation,[status(thm)],[f256,f258])).
% 0.22/0.54 fof(f260,plain,(
% 0.22/0.54 cross_product(domain_of(xh),domain_of(xh))=domain_of(xf1)),
% 0.22/0.54 inference(forward_demodulation,[status(thm)],[f256,f259])).
% 0.22/0.54 fof(f261,plain,(
% 0.22/0.54 $false),
% 0.22/0.54 inference(forward_subsumption_resolution,[status(thm)],[f260,f249])).
% 0.22/0.54 % SZS output end CNFRefutation for theBenchmark.p
% 0.22/0.59 % Elapsed time: 0.106403 seconds
% 0.22/0.59 % CPU time: 0.110071 seconds
% 0.22/0.59 % Total memory used: 3.319 MB
% 0.22/0.59 % Net memory used: 3.318 MB
%------------------------------------------------------------------------------