%------------------------------------------------------------------------------
% File : Drodi-SAT---4.1.1
% Problem : GRP041-2 : 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 : n017.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 12:35:33 PM UTC 2026
% Result : Unsatisfiable 0.12s 0.40s
% Output : Assurance 0s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : GRP041-2 : TPTP v9.3.1. Released v1.0.0.
% 0.00/0.04 % Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.12/0.36 % Computer : n017.cluster.edu
% 0.12/0.36 % Model : x86_64 x86_64
% 0.12/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.36 % Memory : 8046.5625MB
% 0.12/0.36 % OS : Linux 6.8.0-71-generic
% 0.12/0.36 % CPULimit : 300
% 0.12/0.36 % WCLimit : 300
% 0.12/0.36 % DateTime : Sun Sep 20 19:50:56 UTC 2026
% 0.12/0.37 % CPUTime :
% 0.12/0.38 % Drodi V4.1.1
% 0.12/0.40 % Refutation found
% 0.12/0.40 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.12/0.40 % SZS output start CNFRefutation for theBenchmark
% 0.12/0.40 fof(f1,axiom,(
% 0.12/0.40 (![X]: (product(identity,X,X) ))),
% 0.12/0.40 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.12/0.40 fof(f4,axiom,(
% 0.12/0.40 (![X,Y,Z,W]: (( ~ product(X,Y,Z)| ~ product(X,Y,W)| equalish(Z,W) ) ))),
% 0.12/0.40 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.12/0.40 fof(f8,negated_conjecture,(
% 0.12/0.40 ~ equalish(a,a) ),
% 0.12/0.40 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.12/0.40 fof(f9,plain,(
% 0.12/0.40 ![X0]: (product(identity,X0,X0))),
% 0.12/0.40 inference(cnf_transformation,[status(thm)],[f1])).
% 0.12/0.40 fof(f12,plain,(
% 0.12/0.40 ![Z,W]: ((![X,Y]: (~product(X,Y,Z)|~product(X,Y,W)))|equalish(Z,W))),
% 0.12/0.40 inference(miniscoping,[status(thm)],[f4])).
% 0.12/0.40 fof(f13,plain,(
% 0.12/0.40 ![X0,X1,X2,X3]: (~product(X0,X1,X2)|~product(X0,X1,X3)|equalish(X2,X3))),
% 0.12/0.40 inference(cnf_transformation,[status(thm)],[f12])).
% 0.12/0.40 fof(f20,plain,(
% 0.12/0.40 ~equalish(a,a)),
% 0.12/0.40 inference(cnf_transformation,[status(thm)],[f8])).
% 0.12/0.40 fof(f21,plain,(
% 0.12/0.40 ![X0,X1]: (~product(identity,X0,X1)|equalish(X1,X0))),
% 0.12/0.40 inference(resolution,[status(thm)],[f9,f13])).
% 0.12/0.40 fof(f22,plain,(
% 0.12/0.40 ![X0]: (equalish(X0,X0))),
% 0.12/0.40 inference(resolution,[status(thm)],[f21,f9])).
% 0.12/0.40 fof(f24,plain,(
% 0.12/0.40 $false),
% 0.12/0.40 inference(backward_subsumption_resolution,[status(thm)],[f20,f22])).
% 0.12/0.40 % SZS output end CNFRefutation for theBenchmark.p
% 0.12/0.42 % Elapsed time: 0.050677 seconds
% 0.12/0.42 % CPU time: 0.141831 seconds
% 0.12/0.42 % Total memory used: 55.527 MB
% 0.12/0.42 % Net memory used: 54.900 MB
%------------------------------------------------------------------------------