%------------------------------------------------------------------------------
% File : Drodi-SAT---4.1.1
% Problem : RNG039-2 : 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 : n012.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 02:05:12 PM UTC 2026
% Result : Unsatisfiable 23.05s 3.56s
% Output : Assurance 0s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : RNG039-2 : TPTP v9.3.1. Released v1.0.0.
% 0.00/0.03 % Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.07/0.35 % Computer : n012.cluster.edu
% 0.07/0.35 % Model : x86_64 x86_64
% 0.07/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.07/0.35 % Memory : 8046.5625MB
% 0.07/0.35 % OS : Linux 6.8.0-71-generic
% 0.07/0.35 % CPULimit : 300
% 0.07/0.35 % WCLimit : 300
% 0.07/0.35 % DateTime : Mon Sep 21 04:14:37 UTC 2026
% 0.07/0.35 % CPUTime :
% 0.12/0.36 % Drodi V4.1.1
% 23.05/3.56 % Refutation found
% 23.05/3.56 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 23.05/3.56 % SZS output start CNFRefutation for theBenchmark
% 23.05/3.56 fof(f8,axiom,(
% 23.05/3.56 (![X,Y,W,Z]: (( ~ equalish(X,Y)| ~ product(X,W,Z)| product(Y,W,Z) ) ))),
% 23.05/3.56 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 23.05/3.56 fof(f10,axiom,(
% 23.05/3.56 (![X,Y,W,Z]: (( ~ equalish(X,Y)| ~ product(W,Z,X)| product(W,Z,Y) ) ))),
% 23.05/3.56 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 23.05/3.56 fof(f12,axiom,(
% 23.05/3.56 (![X,Y,Z]: (( ~ equalish(X,Y)| ~ equalish(Y,Z)| equalish(X,Z) ) ))),
% 23.05/3.56 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 23.05/3.56 fof(f15,axiom,(
% 23.05/3.56 (![X,Y]: (product(X,Y,multiply(X,Y)) ))),
% 23.05/3.56 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 23.05/3.56 fof(f21,axiom,(
% 23.05/3.56 (![X,Y,U,Z,V,W]: (( ~ product(X,Y,U)| ~ product(Y,Z,V)| ~ product(X,V,W)| product(U,Z,W) ) ))),
% 23.05/3.56 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 23.05/3.56 fof(f26,axiom,(
% 23.05/3.56 (![X]: (product(additive_identity,X,additive_identity) ))),
% 23.05/3.56 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 23.05/3.56 fof(f29,axiom,(
% 23.05/3.56 (![X,Y,U,V]: (( ~ product(X,Y,U)| ~ product(X,Y,V)| equalish(U,V) ) ))),
% 23.05/3.56 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 23.05/3.56 fof(f37,axiom,(
% 23.05/3.56 (![A]: (equalish(multiply(A,A),A) ))),
% 23.05/3.56 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 23.05/3.56 fof(f46,axiom,(
% 23.05/3.56 (![A,B]: (product(a,multiply(b,A),multiply(B,A)) ))),
% 23.05/3.56 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 23.05/3.56 fof(f71,axiom,(
% 23.05/3.56 (![A]: (product(A,A,A) ))),
% 23.05/3.56 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 23.05/3.56 fof(f72,negated_conjecture,(
% 23.05/3.56 product(a,b,c) ),
% 23.05/3.56 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 23.05/3.56 fof(f74,negated_conjecture,(
% 23.05/3.56 ~ equalish(c,d) ),
% 23.05/3.56 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 23.05/3.56 fof(f89,plain,(
% 23.05/3.56 ![Y,W,Z]: ((![X]: (~equalish(X,Y)|~product(X,W,Z)))|product(Y,W,Z))),
% 23.05/3.56 inference(miniscoping,[status(thm)],[f8])).
% 23.05/3.56 fof(f90,plain,(
% 23.05/3.56 ![X0,X1,X2,X3]: (~equalish(X0,X1)|~product(X0,X2,X3)|product(X1,X2,X3))),
% 23.05/3.56 inference(cnf_transformation,[status(thm)],[f89])).
% 23.05/3.56 fof(f93,plain,(
% 23.05/3.56 ![Y,W,Z]: ((![X]: (~equalish(X,Y)|~product(W,Z,X)))|product(W,Z,Y))),
% 23.05/3.56 inference(miniscoping,[status(thm)],[f10])).
% 23.05/3.56 fof(f94,plain,(
% 23.05/3.56 ![X0,X1,X2,X3]: (~equalish(X0,X1)|~product(X2,X3,X0)|product(X2,X3,X1))),
% 23.05/3.56 inference(cnf_transformation,[status(thm)],[f93])).
% 23.05/3.56 fof(f96,plain,(
% 23.05/3.56 ![X,Z]: ((![Y]: (~equalish(X,Y)|~equalish(Y,Z)))|equalish(X,Z))),
% 23.05/3.56 inference(miniscoping,[status(thm)],[f12])).
% 23.05/3.56 fof(f97,plain,(
% 23.05/3.56 ![X0,X1,X2]: (~equalish(X0,X1)|~equalish(X1,X2)|equalish(X0,X2))),
% 23.05/3.56 inference(cnf_transformation,[status(thm)],[f96])).
% 23.05/3.56 fof(f100,plain,(
% 23.05/3.56 ![X0,X1]: (product(X0,X1,multiply(X0,X1)))),
% 23.05/3.56 inference(cnf_transformation,[status(thm)],[f15])).
% 23.05/3.56 fof(f109,plain,(
% 23.05/3.56 ![U,Z,W]: ((![X,V]: ((![Y]: (~product(X,Y,U)|~product(Y,Z,V)))|~product(X,V,W)))|product(U,Z,W))),
% 23.05/3.56 inference(miniscoping,[status(thm)],[f21])).
% 23.05/3.56 fof(f110,plain,(
% 23.05/3.56 ![X0,X1,X2,X3,X4,X5]: (~product(X0,X1,X2)|~product(X1,X3,X4)|~product(X0,X4,X5)|product(X2,X3,X5))),
% 23.05/3.56 inference(cnf_transformation,[status(thm)],[f109])).
% 23.05/3.56 fof(f119,plain,(
% 23.05/3.56 ![X0]: (product(additive_identity,X0,additive_identity))),
% 23.05/3.56 inference(cnf_transformation,[status(thm)],[f26])).
% 23.05/3.56 fof(f123,plain,(
% 23.05/3.56 ![U,V]: ((![X,Y]: (~product(X,Y,U)|~product(X,Y,V)))|equalish(U,V))),
% 23.05/3.56 inference(miniscoping,[status(thm)],[f29])).
% 23.05/3.56 fof(f124,plain,(
% 23.05/3.56 ![X0,X1,X2,X3]: (~product(X0,X1,X2)|~product(X0,X1,X3)|equalish(X2,X3))),
% 23.05/3.56 inference(cnf_transformation,[status(thm)],[f123])).
% 23.05/3.56 fof(f134,plain,(
% 23.05/3.56 ![X0]: (equalish(multiply(X0,X0),X0))),
% 23.05/3.56 inference(cnf_transformation,[status(thm)],[f37])).
% 23.05/3.56 fof(f143,plain,(
% 23.05/3.56 ![X0,X1]: (product(a,multiply(b,X0),multiply(X1,X0)))),
% 23.05/3.56 inference(cnf_transformation,[status(thm)],[f46])).
% 23.05/3.56 fof(f168,plain,(
% 23.05/3.56 ![X0]: (product(X0,X0,X0))),
% 23.05/3.56 inference(cnf_transformation,[status(thm)],[f71])).
% 23.05/3.56 fof(f169,plain,(
% 23.05/3.56 product(a,b,c)),
% 23.05/3.56 inference(cnf_transformation,[status(thm)],[f72])).
% 23.05/3.56 fof(f171,plain,(
% 23.05/3.56 ~equalish(c,d)),
% 23.05/3.56 inference(cnf_transformation,[status(thm)],[f74])).
% 23.05/3.56 fof(f182,plain,(
% 23.05/3.56 ![X0,X1,X2]: (~product(X0,X1,multiply(X2,X2))|product(X0,X1,X2))),
% 23.05/3.56 inference(resolution,[status(thm)],[f134,f94])).
% 25.01/3.58 fof(f184,plain,(
% 25.01/3.58 ![X0,X1,X2]: (~product(multiply(X0,X0),X1,X2)|product(X0,X1,X2))),
% 25.01/3.58 inference(resolution,[status(thm)],[f134,f90])).
% 25.01/3.58 fof(f202,plain,(
% 25.01/3.58 ![X0,X1,X2]: (~product(b,X0,X1)|~product(a,X1,X2)|product(c,X0,X2))),
% 25.01/3.58 inference(resolution,[status(thm)],[f110,f169])).
% 25.01/3.58 fof(f221,plain,(
% 25.01/3.58 ![X0,X1,X2]: (~product(X0,X1,X2)|equalish(multiply(X0,X1),X2))),
% 25.01/3.58 inference(resolution,[status(thm)],[f100,f124])).
% 25.01/3.58 fof(f410,plain,(
% 25.01/3.58 ![X0,X1]: (~product(a,multiply(b,X0),X1)|product(c,X0,X1))),
% 25.01/3.58 inference(resolution,[status(thm)],[f202,f100])).
% 25.01/3.58 fof(f758,plain,(
% 25.01/3.58 ![X0]: (product(a,multiply(b,X0),X0))),
% 25.01/3.58 inference(resolution,[status(thm)],[f182,f143])).
% 25.01/3.58 fof(f761,plain,(
% 25.01/3.58 ![X0]: (product(multiply(X0,X0),multiply(X0,X0),X0))),
% 25.01/3.58 inference(resolution,[status(thm)],[f182,f168])).
% 25.01/3.58 fof(f801,plain,(
% 25.01/3.58 ![X0,X1]: (product(X0,X1,multiply(multiply(X0,X0),X1)))),
% 25.01/3.58 inference(resolution,[status(thm)],[f184,f100])).
% 25.01/3.58 fof(f1261,plain,(
% 25.01/3.58 ![X0]: (equalish(multiply(additive_identity,X0),additive_identity))),
% 25.01/3.58 inference(resolution,[status(thm)],[f221,f119])).
% 25.01/3.58 fof(f4371,plain,(
% 25.01/3.58 ![X0,X1]: (product(c,X0,multiply(X1,X0)))),
% 25.01/3.58 inference(resolution,[status(thm)],[f410,f143])).
% 25.01/3.58 fof(f4372,plain,(
% 25.01/3.58 ![X0]: (product(c,X0,X0))),
% 25.01/3.58 inference(resolution,[status(thm)],[f410,f758])).
% 25.01/3.58 fof(f4444,plain,(
% 25.01/3.58 ![X0,X1]: (~product(c,X0,X1)|equalish(X0,X1))),
% 25.01/3.58 inference(resolution,[status(thm)],[f4372,f124])).
% 25.01/3.58 fof(f5261,plain,(
% 25.01/3.58 ![X0,X1]: (equalish(X0,multiply(X1,X0)))),
% 25.01/3.58 inference(resolution,[status(thm)],[f4444,f4371])).
% 25.01/3.58 fof(f5370,plain,(
% 25.01/3.58 ![X0,X1,X2]: (~equalish(multiply(X0,X1),X2)|equalish(X1,X2))),
% 25.01/3.58 inference(resolution,[status(thm)],[f5261,f97])).
% 25.01/3.58 fof(f9515,plain,(
% 25.01/3.58 ![X0]: (equalish(X0,additive_identity))),
% 25.01/3.58 inference(resolution,[status(thm)],[f5370,f1261])).
% 25.01/3.58 fof(f9561,plain,(
% 25.01/3.58 ![X0,X1]: (~equalish(additive_identity,X0)|equalish(X1,X0))),
% 25.01/3.58 inference(resolution,[status(thm)],[f9515,f97])).
% 25.01/3.58 fof(f9562,plain,(
% 25.01/3.58 ![X0,X1,X2]: (~product(X0,X1,X2)|product(X0,X1,additive_identity))),
% 25.01/3.58 inference(resolution,[status(thm)],[f9515,f94])).
% 25.01/3.58 fof(f12338,plain,(
% 25.01/3.58 ![X0,X1]: (product(X0,X1,additive_identity))),
% 25.01/3.58 inference(resolution,[status(thm)],[f9562,f801])).
% 25.01/3.58 fof(f12705,plain,(
% 25.01/3.58 ![X0,X1,X2]: (~product(X0,X1,X2)|equalish(additive_identity,X2))),
% 25.01/3.58 inference(resolution,[status(thm)],[f12338,f124])).
% 25.01/3.58 fof(f13860,plain,(
% 25.01/3.58 ![X0]: (equalish(additive_identity,X0))),
% 25.01/3.58 inference(resolution,[status(thm)],[f12705,f761])).
% 25.01/3.58 fof(f13913,plain,(
% 25.01/3.58 ![X0,X1]: (equalish(X0,X1))),
% 25.01/3.58 inference(backward_subsumption_resolution,[status(thm)],[f9561,f13860])).
% 25.01/3.58 fof(f13954,plain,(
% 25.01/3.58 $false),
% 25.01/3.58 inference(backward_subsumption_resolution,[status(thm)],[f171,f13913])).
% 25.01/3.58 % SZS output end CNFRefutation for theBenchmark.p
% 25.01/3.59 % Elapsed time: 3.224055 seconds
% 25.01/3.59 % CPU time: 25.315423 seconds
% 25.01/3.59 % Total memory used: 178.281 MB
% 25.01/3.59 % Net memory used: 144.731 MB
%------------------------------------------------------------------------------