%------------------------------------------------------------------------------
% File : Drodi-SAT---4.1.1
% Problem : GRP046-2 : 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 : 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 12:35:33 PM UTC 2026
% Result : Unsatisfiable 0.12s 0.42s
% Output : Assurance 0s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : GRP046-2 : TPTP v9.3.1. Released v1.0.0.
% 0.00/0.03 % Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.09/0.34 % Computer : n011.cluster.edu
% 0.09/0.34 % Model : x86_64 x86_64
% 0.09/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.34 % Memory : 8046.5625MB
% 0.09/0.34 % OS : Linux 6.8.0-71-generic
% 0.09/0.34 % CPULimit : 300
% 0.09/0.34 % WCLimit : 300
% 0.09/0.34 % DateTime : Sun Sep 20 19:55:24 UTC 2026
% 0.09/0.34 % CPUTime :
% 0.09/0.35 % Drodi V4.1.1
% 0.12/0.42 % Refutation found
% 0.12/0.42 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.12/0.42 % SZS output start CNFRefutation for theBenchmark
% 0.12/0.42 fof(f1,axiom,(
% 0.12/0.42 (![X]: (product(identity,X,X) ))),
% 0.12/0.42 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.12/0.42 fof(f3,axiom,(
% 0.12/0.42 (![X,Y]: (product(X,Y,multiply(X,Y)) ))),
% 0.12/0.42 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.12/0.42 fof(f4,axiom,(
% 0.12/0.42 (![X,Y,Z,W]: (( ~ product(X,Y,Z)| ~ product(X,Y,W)| equalish(Z,W) ) ))),
% 0.12/0.42 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.12/0.42 fof(f6,axiom,(
% 0.12/0.42 (![X,Y,U,Z,V,W]: (( ~ product(X,Y,U)| ~ product(Y,Z,V)| ~ product(X,V,W)| product(U,Z,W) ) ))),
% 0.12/0.42 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.12/0.42 fof(f7,axiom,(
% 0.12/0.42 (![X,Y,W,Z]: (( ~ equalish(X,Y)| ~ product(W,Z,X)| product(W,Z,Y) ) ))),
% 0.12/0.42 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.12/0.42 fof(f8,hypothesis,(
% 0.12/0.42 equalish(a,b) ),
% 0.12/0.42 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.12/0.42 fof(f9,negated_conjecture,(
% 0.12/0.42 ~ equalish(multiply(a,c),multiply(b,c)) ),
% 0.12/0.42 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.12/0.42 fof(f10,plain,(
% 0.12/0.42 ![X0]: (product(identity,X0,X0))),
% 0.12/0.42 inference(cnf_transformation,[status(thm)],[f1])).
% 0.12/0.42 fof(f12,plain,(
% 0.12/0.42 ![X0,X1]: (product(X0,X1,multiply(X0,X1)))),
% 0.12/0.42 inference(cnf_transformation,[status(thm)],[f3])).
% 0.12/0.42 fof(f13,plain,(
% 0.12/0.42 ![Z,W]: ((![X,Y]: (~product(X,Y,Z)|~product(X,Y,W)))|equalish(Z,W))),
% 0.12/0.42 inference(miniscoping,[status(thm)],[f4])).
% 0.12/0.42 fof(f14,plain,(
% 0.12/0.42 ![X0,X1,X2,X3]: (~product(X0,X1,X2)|~product(X0,X1,X3)|equalish(X2,X3))),
% 0.12/0.42 inference(cnf_transformation,[status(thm)],[f13])).
% 0.12/0.42 fof(f17,plain,(
% 0.12/0.42 ![U,Z,W]: ((![X,V]: ((![Y]: (~product(X,Y,U)|~product(Y,Z,V)))|~product(X,V,W)))|product(U,Z,W))),
% 0.12/0.42 inference(miniscoping,[status(thm)],[f6])).
% 0.12/0.42 fof(f18,plain,(
% 0.12/0.42 ![X0,X1,X2,X3,X4,X5]: (~product(X0,X1,X2)|~product(X1,X3,X4)|~product(X0,X4,X5)|product(X2,X3,X5))),
% 0.12/0.42 inference(cnf_transformation,[status(thm)],[f17])).
% 0.12/0.42 fof(f19,plain,(
% 0.12/0.42 ![Y,W,Z]: ((![X]: (~equalish(X,Y)|~product(W,Z,X)))|product(W,Z,Y))),
% 0.12/0.42 inference(miniscoping,[status(thm)],[f7])).
% 0.12/0.42 fof(f20,plain,(
% 0.12/0.42 ![X0,X1,X2,X3]: (~equalish(X0,X1)|~product(X2,X3,X0)|product(X2,X3,X1))),
% 0.12/0.42 inference(cnf_transformation,[status(thm)],[f19])).
% 0.12/0.42 fof(f21,plain,(
% 0.12/0.42 equalish(a,b)),
% 0.12/0.42 inference(cnf_transformation,[status(thm)],[f8])).
% 0.12/0.42 fof(f22,plain,(
% 0.12/0.42 ~equalish(multiply(a,c),multiply(b,c))),
% 0.12/0.42 inference(cnf_transformation,[status(thm)],[f9])).
% 0.12/0.42 fof(f23,plain,(
% 0.12/0.42 ![X0,X1]: (~product(X0,X1,multiply(a,c))|~product(X0,X1,multiply(b,c)))),
% 0.12/0.42 inference(resolution,[status(thm)],[f14,f22])).
% 0.12/0.42 fof(f24,plain,(
% 0.12/0.42 ~product(a,c,multiply(b,c))),
% 0.12/0.42 inference(resolution,[status(thm)],[f23,f12])).
% 0.12/0.42 fof(f25,plain,(
% 0.12/0.42 ![X0,X1,X2]: (~equalish(multiply(X0,X1),X2)|product(X0,X1,X2))),
% 0.12/0.42 inference(resolution,[status(thm)],[f20,f12])).
% 0.12/0.42 fof(f26,plain,(
% 0.12/0.42 ![X0,X1,X2,X3,X4]: (product(X0,X1,X2)|~product(X3,X4,multiply(X0,X1))|~product(X3,X4,X2))),
% 0.12/0.42 inference(resolution,[status(thm)],[f25,f14])).
% 0.12/0.42 fof(f30,plain,(
% 0.12/0.42 ![X0,X1]: (~equalish(X0,X1)|product(identity,X0,X1))),
% 0.12/0.42 inference(resolution,[status(thm)],[f10,f20])).
% 0.12/0.42 fof(f31,plain,(
% 0.12/0.42 product(identity,a,b)),
% 0.12/0.42 inference(resolution,[status(thm)],[f30,f21])).
% 0.12/0.42 fof(f33,plain,(
% 0.12/0.42 ![X0]: (~equalish(b,X0)|product(identity,a,X0))),
% 0.12/0.42 inference(resolution,[status(thm)],[f31,f20])).
% 0.12/0.42 fof(f34,plain,(
% 0.12/0.42 ![X0,X1,X2]: (product(identity,a,X0)|~product(X1,X2,b)|~product(X1,X2,X0))),
% 0.12/0.42 inference(resolution,[status(thm)],[f33,f14])).
% 0.12/0.42 fof(f87,plain,(
% 0.12/0.42 ![X0]: (product(identity,a,X0)|~product(identity,b,X0))),
% 0.12/0.42 inference(resolution,[status(thm)],[f34,f10])).
% 0.12/0.42 fof(f93,plain,(
% 0.12/0.42 product(identity,a,multiply(identity,b))),
% 0.12/0.42 inference(resolution,[status(thm)],[f87,f12])).
% 0.12/0.42 fof(f96,plain,(
% 0.12/0.42 ![X0]: (product(identity,b,X0)|~product(identity,a,X0))),
% 0.12/0.42 inference(resolution,[status(thm)],[f93,f26])).
% 0.12/0.42 fof(f101,plain,(
% 0.12/0.42 product(identity,b,a)),
% 0.12/0.42 inference(resolution,[status(thm)],[f96,f10])).
% 0.12/0.42 fof(f200,plain,(
% 0.12/0.42 ![X0,X1,X2,X3,X4]: (~product(X0,X1,X2)|~product(X0,multiply(X1,X3),X4)|product(X2,X3,X4))),
% 0.12/0.42 inference(resolution,[status(thm)],[f18,f12])).
% 0.12/0.42 fof(f769,plain,(
% 0.12/0.42 ![X0,X1,X2]: (~product(identity,X0,X1)|product(X1,X2,multiply(X0,X2)))),
% 0.12/0.43 inference(resolution,[status(thm)],[f200,f10])).
% 0.12/0.43 fof(f1080,plain,(
% 0.12/0.43 ![X0]: (product(a,X0,multiply(b,X0)))),
% 0.12/0.43 inference(resolution,[status(thm)],[f769,f101])).
% 0.12/0.43 fof(f1100,plain,(
% 0.12/0.43 $false),
% 0.12/0.43 inference(backward_subsumption_resolution,[status(thm)],[f24,f1080])).
% 0.12/0.43 % SZS output end CNFRefutation for theBenchmark.p
% 0.12/0.44 % Elapsed time: 0.097809 seconds
% 0.12/0.44 % CPU time: 0.510210 seconds
% 0.12/0.44 % Total memory used: 60.167 MB
% 0.12/0.44 % Net memory used: 58.810 MB
%------------------------------------------------------------------------------