%------------------------------------------------------------------------------
% File : Drodi-SAT---4.1.1
% Problem : GRP042-2 : TPTP v9.3.1. Released v1.0.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% Computer : n020.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 0.10s 0.39s
% Output : Assurance 0s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : GRP042-2 : TPTP v9.3.1. Released v1.0.0.
% 0.00/0.03 % Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.10/0.36 % Computer : n020.cluster.edu
% 0.10/0.36 % Model : x86_64 x86_64
% 0.10/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.36 % Memory : 8046.5625MB
% 0.10/0.36 % OS : Linux 6.8.0-71-generic
% 0.10/0.36 % CPULimit : 300
% 0.10/0.36 % WCLimit : 300
% 0.10/0.36 % DateTime : Sun Sep 20 19:56:17 UTC 2026
% 0.10/0.36 % CPUTime :
% 0.10/0.37 % Drodi V4.1.1
% 0.10/0.39 % Refutation found
% 0.10/0.39 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.10/0.39 % SZS output start CNFRefutation for theBenchmark
% 0.10/0.39 fof(f1,axiom,(
% 0.10/0.39 (![X]: (product(identity,X,X) ))),
% 0.10/0.39 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.10/0.39 fof(f4,axiom,(
% 0.10/0.39 (![X,Y,Z,W]: (( ~ product(X,Y,Z)| ~ product(X,Y,W)| equalish(Z,W) ) ))),
% 0.10/0.39 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.10/0.39 fof(f7,axiom,(
% 0.10/0.39 (![X,Y,W,Z]: (( ~ equalish(X,Y)| ~ product(W,Z,X)| product(W,Z,Y) ) ))),
% 0.10/0.39 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.10/0.39 fof(f8,hypothesis,(
% 0.10/0.39 equalish(a,b) ),
% 0.10/0.39 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.10/0.39 fof(f9,negated_conjecture,(
% 0.10/0.39 ~ equalish(b,a) ),
% 0.10/0.39 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.10/0.39 fof(f10,plain,(
% 0.10/0.39 ![X0]: (product(identity,X0,X0))),
% 0.10/0.39 inference(cnf_transformation,[status(thm)],[f1])).
% 0.10/0.39 fof(f13,plain,(
% 0.10/0.39 ![Z,W]: ((![X,Y]: (~product(X,Y,Z)|~product(X,Y,W)))|equalish(Z,W))),
% 0.10/0.39 inference(miniscoping,[status(thm)],[f4])).
% 0.10/0.39 fof(f14,plain,(
% 0.10/0.39 ![X0,X1,X2,X3]: (~product(X0,X1,X2)|~product(X0,X1,X3)|equalish(X2,X3))),
% 0.10/0.39 inference(cnf_transformation,[status(thm)],[f13])).
% 0.10/0.39 fof(f19,plain,(
% 0.10/0.39 ![Y,W,Z]: ((![X]: (~equalish(X,Y)|~product(W,Z,X)))|product(W,Z,Y))),
% 0.10/0.39 inference(miniscoping,[status(thm)],[f7])).
% 0.10/0.39 fof(f20,plain,(
% 0.10/0.39 ![X0,X1,X2,X3]: (~equalish(X0,X1)|~product(X2,X3,X0)|product(X2,X3,X1))),
% 0.10/0.39 inference(cnf_transformation,[status(thm)],[f19])).
% 0.10/0.39 fof(f21,plain,(
% 0.10/0.39 equalish(a,b)),
% 0.10/0.39 inference(cnf_transformation,[status(thm)],[f8])).
% 0.10/0.39 fof(f22,plain,(
% 0.10/0.39 ~equalish(b,a)),
% 0.10/0.39 inference(cnf_transformation,[status(thm)],[f9])).
% 0.10/0.39 fof(f23,plain,(
% 0.10/0.39 ![X0,X1]: (~equalish(X0,X1)|product(identity,X0,X1))),
% 0.10/0.39 inference(resolution,[status(thm)],[f10,f20])).
% 0.10/0.39 fof(f24,plain,(
% 0.10/0.39 ![X0,X1]: (~product(identity,X0,X1)|equalish(X1,X0))),
% 0.10/0.39 inference(resolution,[status(thm)],[f10,f14])).
% 0.10/0.39 fof(f25,plain,(
% 0.10/0.39 product(identity,a,b)),
% 0.10/0.39 inference(resolution,[status(thm)],[f23,f21])).
% 0.10/0.39 fof(f28,plain,(
% 0.10/0.39 equalish(b,a)),
% 0.10/0.39 inference(resolution,[status(thm)],[f24,f25])).
% 0.10/0.39 fof(f30,plain,(
% 0.10/0.39 $false),
% 0.10/0.39 inference(forward_subsumption_resolution,[status(thm)],[f28,f22])).
% 0.10/0.39 % SZS output end CNFRefutation for theBenchmark.p
% 0.10/0.43 % Elapsed time: 0.050238 seconds
% 0.10/0.43 % CPU time: 0.145618 seconds
% 0.10/0.43 % Total memory used: 55.545 MB
% 0.10/0.43 % Net memory used: 55.000 MB
%------------------------------------------------------------------------------