%------------------------------------------------------------------------------
% File : Drodi-SAT---4.1.1
% Problem : GRP047-2 : 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 : n007.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 1.10s 0.59s
% Output : Assurance 0s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : GRP047-2 : TPTP v9.3.1. Released v1.0.0.
% 0.00/0.04 % Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.09/0.35 % Computer : n007.cluster.edu
% 0.09/0.35 % Model : x86_64 x86_64
% 0.09/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.35 % Memory : 8046.5625MB
% 0.09/0.35 % OS : Linux 6.8.0-71-generic
% 0.09/0.35 % CPULimit : 300
% 0.09/0.35 % WCLimit : 300
% 0.09/0.35 % DateTime : Sun Sep 20 19:53:20 UTC 2026
% 0.09/0.35 % CPUTime :
% 0.09/0.37 % Drodi V4.1.1
% 1.10/0.59 % Refutation found
% 1.10/0.59 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 1.10/0.59 % SZS output start CNFRefutation for theBenchmark
% 1.10/0.59 fof(f1,axiom,(
% 1.10/0.59 (![X]: (product(identity,X,X) ))),
% 1.10/0.59 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 1.10/0.59 fof(f3,axiom,(
% 1.10/0.59 (![X,Y]: (product(X,Y,multiply(X,Y)) ))),
% 1.10/0.59 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 1.10/0.59 fof(f4,axiom,(
% 1.10/0.59 (![X,Y,Z,W]: (( ~ product(X,Y,Z)| ~ product(X,Y,W)| equalish(Z,W) ) ))),
% 1.10/0.59 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 1.10/0.59 fof(f5,axiom,(
% 1.10/0.59 (![X,Y,U,Z,V,W]: (( ~ product(X,Y,U)| ~ product(Y,Z,V)| ~ product(U,Z,W)| product(X,V,W) ) ))),
% 1.10/0.59 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 1.10/0.59 fof(f6,axiom,(
% 1.10/0.59 (![X,Y,U,Z,V,W]: (( ~ product(X,Y,U)| ~ product(Y,Z,V)| ~ product(X,V,W)| product(U,Z,W) ) ))),
% 1.10/0.59 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 1.10/0.59 fof(f7,axiom,(
% 1.10/0.59 (![X,Y,W,Z]: (( ~ equalish(X,Y)| ~ product(W,Z,X)| product(W,Z,Y) ) ))),
% 1.10/0.59 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 1.10/0.59 fof(f8,hypothesis,(
% 1.10/0.59 equalish(a,b) ),
% 1.10/0.59 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 1.10/0.59 fof(f9,negated_conjecture,(
% 1.10/0.59 ~ equalish(multiply(c,a),multiply(c,b)) ),
% 1.10/0.59 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 1.10/0.59 fof(f10,plain,(
% 1.10/0.59 ![X0]: (product(identity,X0,X0))),
% 1.10/0.59 inference(cnf_transformation,[status(thm)],[f1])).
% 1.10/0.59 fof(f12,plain,(
% 1.10/0.59 ![X0,X1]: (product(X0,X1,multiply(X0,X1)))),
% 1.10/0.59 inference(cnf_transformation,[status(thm)],[f3])).
% 1.10/0.59 fof(f13,plain,(
% 1.10/0.59 ![Z,W]: ((![X,Y]: (~product(X,Y,Z)|~product(X,Y,W)))|equalish(Z,W))),
% 1.10/0.59 inference(miniscoping,[status(thm)],[f4])).
% 1.10/0.59 fof(f14,plain,(
% 1.10/0.59 ![X0,X1,X2,X3]: (~product(X0,X1,X2)|~product(X0,X1,X3)|equalish(X2,X3))),
% 1.10/0.59 inference(cnf_transformation,[status(thm)],[f13])).
% 1.10/0.59 fof(f15,plain,(
% 1.10/0.59 ![X,V,W]: ((![U,Z]: ((![Y]: (~product(X,Y,U)|~product(Y,Z,V)))|~product(U,Z,W)))|product(X,V,W))),
% 1.10/0.59 inference(miniscoping,[status(thm)],[f5])).
% 1.10/0.59 fof(f16,plain,(
% 1.10/0.59 ![X0,X1,X2,X3,X4,X5]: (~product(X0,X1,X2)|~product(X1,X3,X4)|~product(X2,X3,X5)|product(X0,X4,X5))),
% 1.10/0.59 inference(cnf_transformation,[status(thm)],[f15])).
% 1.10/0.59 fof(f17,plain,(
% 1.10/0.59 ![U,Z,W]: ((![X,V]: ((![Y]: (~product(X,Y,U)|~product(Y,Z,V)))|~product(X,V,W)))|product(U,Z,W))),
% 1.10/0.59 inference(miniscoping,[status(thm)],[f6])).
% 1.10/0.59 fof(f18,plain,(
% 1.10/0.59 ![X0,X1,X2,X3,X4,X5]: (~product(X0,X1,X2)|~product(X1,X3,X4)|~product(X0,X4,X5)|product(X2,X3,X5))),
% 1.10/0.59 inference(cnf_transformation,[status(thm)],[f17])).
% 1.10/0.59 fof(f19,plain,(
% 1.10/0.59 ![Y,W,Z]: ((![X]: (~equalish(X,Y)|~product(W,Z,X)))|product(W,Z,Y))),
% 1.10/0.59 inference(miniscoping,[status(thm)],[f7])).
% 1.10/0.59 fof(f20,plain,(
% 1.10/0.59 ![X0,X1,X2,X3]: (~equalish(X0,X1)|~product(X2,X3,X0)|product(X2,X3,X1))),
% 1.10/0.59 inference(cnf_transformation,[status(thm)],[f19])).
% 1.10/0.59 fof(f21,plain,(
% 1.10/0.59 equalish(a,b)),
% 1.10/0.59 inference(cnf_transformation,[status(thm)],[f8])).
% 1.10/0.59 fof(f22,plain,(
% 1.10/0.59 ~equalish(multiply(c,a),multiply(c,b))),
% 1.10/0.59 inference(cnf_transformation,[status(thm)],[f9])).
% 1.10/0.59 fof(f23,plain,(
% 1.10/0.59 ![X0,X1]: (~product(X0,X1,multiply(c,a))|~product(X0,X1,multiply(c,b)))),
% 1.10/0.59 inference(resolution,[status(thm)],[f22,f14])).
% 1.10/0.59 fof(f25,plain,(
% 1.10/0.59 ~product(c,b,multiply(c,a))),
% 1.10/0.59 inference(resolution,[status(thm)],[f23,f12])).
% 1.10/0.59 fof(f30,plain,(
% 1.10/0.59 ![X0,X1,X2]: (~product(c,X0,X1)|~product(X0,X2,b)|~product(X1,X2,multiply(c,a)))),
% 1.10/0.59 inference(resolution,[status(thm)],[f25,f16])).
% 1.10/0.59 fof(f50,plain,(
% 1.10/0.59 ![X0,X1]: (~product(X0,X1,b)|~product(multiply(c,X0),X1,multiply(c,a)))),
% 1.10/0.59 inference(resolution,[status(thm)],[f30,f12])).
% 1.10/0.59 fof(f54,plain,(
% 1.10/0.59 ![X0,X1,X2,X3,X4]: (~product(X0,X1,b)|~product(X2,X3,multiply(c,X0))|~product(X3,X1,X4)|~product(X2,X4,multiply(c,a)))),
% 1.10/0.59 inference(resolution,[status(thm)],[f50,f18])).
% 1.10/0.59 fof(f193,plain,(
% 1.10/0.59 ![X0,X1,X2]: (~product(X0,X1,multiply(c,identity))|~product(X1,b,X2)|~product(X0,X2,multiply(c,a)))),
% 1.10/0.59 inference(resolution,[status(thm)],[f54,f10])).
% 1.10/0.59 fof(f198,plain,(
% 1.10/0.59 ![X0]: (~product(c,X0,multiply(c,identity))|~product(X0,b,a))),
% 1.10/0.59 inference(resolution,[status(thm)],[f193,f12])).
% 1.10/0.59 fof(f202,plain,(
% 1.10/0.59 ![X0,X1,X2,X3]: (~product(c,X0,multiply(c,identity))|~product(X1,X2,X0)|~product(X2,b,X3)|~product(X1,X3,a))),
% 1.10/0.59 inference(resolution,[status(thm)],[f198,f18])).
% 1.10/0.61 fof(f215,plain,(
% 1.10/0.61 ![X0,X1,X2]: (~product(X0,X1,identity)|~product(X1,b,X2)|~product(X0,X2,a))),
% 1.10/0.61 inference(resolution,[status(thm)],[f202,f12])).
% 1.10/0.61 fof(f219,plain,(
% 1.10/0.61 ![X0]: (~product(identity,X0,identity)|~product(X0,b,a))),
% 1.10/0.61 inference(resolution,[status(thm)],[f215,f10])).
% 1.10/0.61 fof(f224,plain,(
% 1.10/0.61 ![X0,X1,X2,X3]: (~product(identity,X0,identity)|~product(X0,X1,X2)|~product(X1,X3,b)|~product(X2,X3,a))),
% 1.10/0.61 inference(resolution,[status(thm)],[f219,f16])).
% 1.10/0.61 fof(f236,plain,(
% 1.10/0.61 ![X0,X1,X2]: (~product(identity,X0,X1)|~product(X0,X2,b)|~product(X1,X2,a))),
% 1.10/0.61 inference(resolution,[status(thm)],[f224,f10])).
% 1.10/0.61 fof(f243,plain,(
% 1.10/0.61 ![X0,X1,X2,X3]: (~product(identity,X0,X1)|~product(X1,X2,a)|~equalish(X3,b)|~product(X0,X2,X3))),
% 1.10/0.61 inference(resolution,[status(thm)],[f236,f20])).
% 1.10/0.61 fof(f248,plain,(
% 1.10/0.61 ![X0,X1,X2]: (~product(identity,X0,X1)|~product(X1,X2,a)|~product(X0,X2,a))),
% 1.10/0.61 inference(resolution,[status(thm)],[f243,f21])).
% 1.10/0.61 fof(f250,plain,(
% 1.10/0.61 ![X0]: (~product(identity,X0,identity)|~product(X0,a,a))),
% 1.10/0.61 inference(resolution,[status(thm)],[f248,f10])).
% 1.10/0.61 fof(f258,plain,(
% 1.10/0.61 ~product(identity,a,a)),
% 1.10/0.61 inference(resolution,[status(thm)],[f250,f10])).
% 1.10/0.61 fof(f262,plain,(
% 1.10/0.61 $false),
% 1.10/0.61 inference(forward_subsumption_resolution,[status(thm)],[f258,f10])).
% 1.10/0.61 % SZS output end CNFRefutation for theBenchmark.p
% 1.10/0.61 % Elapsed time: 0.246655 seconds
% 1.10/0.61 % CPU time: 1.666455 seconds
% 1.10/0.61 % Total memory used: 69.254 MB
% 1.10/0.61 % Net memory used: 65.566 MB
%------------------------------------------------------------------------------