%------------------------------------------------------------------------------
% File : Drodi-SAT---4.1.1
% Problem : RNG001-3 : 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 : n018.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 02:05:05 PM UTC 2026
% Result : Unsatisfiable 1.85s 1.06s
% Output : Assurance 0s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.05 % Problem : RNG001-3 : TPTP v9.3.1. Released v1.0.0.
% 0.00/0.06 % Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.15/0.41 % Computer : n018.cluster.edu
% 0.15/0.41 % Model : x86_64 x86_64
% 0.15/0.41 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.41 % Memory : 8046.5625MB
% 0.15/0.41 % OS : Linux 6.8.0-71-generic
% 0.15/0.42 % CPULimit : 300
% 0.15/0.42 % WCLimit : 300
% 0.15/0.42 % DateTime : Mon Sep 21 04:11:45 UTC 2026
% 0.15/0.42 % CPUTime :
% 0.15/0.43 % Drodi V4.1.1
% 1.85/1.06 % Refutation found
% 1.85/1.06 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 1.85/1.06 % SZS output start CNFRefutation for theBenchmark
% 1.85/1.06 fof(f1,axiom,(
% 1.85/1.06 (![X]: (sum(additive_identity,X,X) ))),
% 1.85/1.06 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 1.85/1.06 fof(f2,axiom,(
% 1.85/1.06 (![X]: (sum(additive_inverse(X),X,additive_identity) ))),
% 1.85/1.06 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 1.85/1.06 fof(f3,axiom,(
% 1.85/1.06 (![X,Y,U,Z,V,W]: (( ~ sum(X,Y,U)| ~ sum(Y,Z,V)| ~ sum(U,Z,W)| sum(X,V,W) ) ))),
% 1.85/1.06 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 1.85/1.06 fof(f4,axiom,(
% 1.85/1.06 (![X,Y,U,Z,V,W]: (( ~ sum(X,Y,U)| ~ sum(Y,Z,V)| ~ sum(X,V,W)| sum(U,Z,W) ) ))),
% 1.85/1.06 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 1.85/1.06 fof(f5,axiom,(
% 1.85/1.06 (![X,Y]: (product(X,Y,multiply(X,Y)) ))),
% 1.85/1.06 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 1.85/1.06 fof(f6,axiom,(
% 1.85/1.06 (![X,Y,V1,Z,V2,V3,V4]: (( ~ product(X,Y,V1)| ~ product(X,Z,V2)| ~ sum(Y,Z,V3)| ~ product(X,V3,V4)| sum(V1,V2,V4) ) ))),
% 1.85/1.06 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 1.85/1.06 fof(f7,axiom,(
% 1.85/1.06 (![X,Y,V1,Z,V2,V3,V4]: (( ~ product(X,Y,V1)| ~ product(X,Z,V2)| ~ sum(Y,Z,V3)| ~ sum(V1,V2,V4)| product(X,V3,V4) ) ))),
% 1.85/1.06 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 1.85/1.06 fof(f8,negated_conjecture,(
% 1.85/1.06 ~ product(a,additive_identity,additive_identity) ),
% 1.85/1.06 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 1.85/1.06 fof(f9,plain,(
% 1.85/1.06 ![X0]: (sum(additive_identity,X0,X0))),
% 1.85/1.06 inference(cnf_transformation,[status(thm)],[f1])).
% 1.85/1.06 fof(f10,plain,(
% 1.85/1.06 ![X0]: (sum(additive_inverse(X0),X0,additive_identity))),
% 1.85/1.06 inference(cnf_transformation,[status(thm)],[f2])).
% 1.85/1.06 fof(f11,plain,(
% 1.85/1.06 ![X,V,W]: ((![U,Z]: ((![Y]: (~sum(X,Y,U)|~sum(Y,Z,V)))|~sum(U,Z,W)))|sum(X,V,W))),
% 1.85/1.06 inference(miniscoping,[status(thm)],[f3])).
% 1.85/1.06 fof(f12,plain,(
% 1.85/1.06 ![X0,X1,X2,X3,X4,X5]: (~sum(X0,X1,X2)|~sum(X1,X3,X4)|~sum(X2,X3,X5)|sum(X0,X4,X5))),
% 1.85/1.06 inference(cnf_transformation,[status(thm)],[f11])).
% 1.85/1.06 fof(f13,plain,(
% 1.85/1.06 ![U,Z,W]: ((![X,V]: ((![Y]: (~sum(X,Y,U)|~sum(Y,Z,V)))|~sum(X,V,W)))|sum(U,Z,W))),
% 1.85/1.06 inference(miniscoping,[status(thm)],[f4])).
% 1.85/1.06 fof(f14,plain,(
% 1.85/1.06 ![X0,X1,X2,X3,X4,X5]: (~sum(X0,X1,X2)|~sum(X1,X3,X4)|~sum(X0,X4,X5)|sum(X2,X3,X5))),
% 1.85/1.06 inference(cnf_transformation,[status(thm)],[f13])).
% 1.85/1.06 fof(f15,plain,(
% 1.85/1.06 ![X0,X1]: (product(X0,X1,multiply(X0,X1)))),
% 1.85/1.06 inference(cnf_transformation,[status(thm)],[f5])).
% 1.85/1.06 fof(f16,plain,(
% 1.85/1.06 ![V1,V2,V4]: ((![X,V3]: ((![Y,Z]: ((~product(X,Y,V1)|~product(X,Z,V2))|~sum(Y,Z,V3)))|~product(X,V3,V4)))|sum(V1,V2,V4))),
% 1.85/1.06 inference(miniscoping,[status(thm)],[f6])).
% 1.85/1.06 fof(f17,plain,(
% 1.85/1.06 ![X0,X1,X2,X3,X4,X5,X6]: (~product(X0,X1,X2)|~product(X0,X3,X4)|~sum(X1,X3,X5)|~product(X0,X5,X6)|sum(X2,X4,X6))),
% 1.85/1.06 inference(cnf_transformation,[status(thm)],[f16])).
% 1.85/1.06 fof(f18,plain,(
% 1.85/1.06 ![X,V3,V4]: ((![V1,V2]: ((![Y,Z]: ((~product(X,Y,V1)|~product(X,Z,V2))|~sum(Y,Z,V3)))|~sum(V1,V2,V4)))|product(X,V3,V4))),
% 1.85/1.06 inference(miniscoping,[status(thm)],[f7])).
% 1.85/1.06 fof(f19,plain,(
% 1.85/1.06 ![X0,X1,X2,X3,X4,X5,X6]: (~product(X0,X1,X2)|~product(X0,X3,X4)|~sum(X1,X3,X5)|~sum(X2,X4,X6)|product(X0,X5,X6))),
% 1.85/1.06 inference(cnf_transformation,[status(thm)],[f18])).
% 1.85/1.06 fof(f20,plain,(
% 1.85/1.06 ~product(a,additive_identity,additive_identity)),
% 1.85/1.06 inference(cnf_transformation,[status(thm)],[f8])).
% 1.85/1.06 fof(f21,plain,(
% 1.85/1.06 ![X0,X1,X2,X3]: (~sum(X0,X1,X2)|~sum(additive_identity,X1,X3)|sum(additive_inverse(X0),X2,X3))),
% 1.85/1.06 inference(resolution,[status(thm)],[f12,f10])).
% 1.85/1.06 fof(f26,plain,(
% 1.85/1.06 ![X0,X1,X2,X3]: (~sum(X0,X1,X2)|~sum(additive_inverse(X0),X2,X3)|sum(additive_identity,X1,X3))),
% 1.85/1.06 inference(resolution,[status(thm)],[f14,f10])).
% 1.85/1.06 fof(f27,plain,(
% 1.85/1.06 ![X0,X1,X2,X3]: (~sum(X0,X1,X2)|~sum(additive_identity,X2,X3)|sum(X0,X1,X3))),
% 1.85/1.06 inference(resolution,[status(thm)],[f14,f9])).
% 1.85/1.06 fof(f28,plain,(
% 1.85/1.06 ![X0,X1,X2,X3,X4,X5]: (~product(X0,X1,X2)|~sum(X3,X1,X4)|~sum(multiply(X0,X3),X2,X5)|product(X0,X4,X5))),
% 1.85/1.06 inference(resolution,[status(thm)],[f15,f19])).
% 1.85/1.06 fof(f29,plain,(
% 1.85/1.06 ![X0,X1,X2,X3,X4,X5]: (~product(X0,X1,X2)|~sum(X3,X1,X4)|~product(X0,X4,X5)|sum(multiply(X0,X3),X2,X5))),
% 1.85/1.06 inference(resolution,[status(thm)],[f15,f17])).
% 1.85/1.06 fof(f34,plain,(
% 1.85/1.06 ![X0,X1]: (~sum(additive_identity,X0,X1)|sum(additive_inverse(additive_identity),X0,X1))),
% 1.85/1.08 inference(resolution,[status(thm)],[f21,f9])).
% 1.85/1.08 fof(f37,plain,(
% 1.85/1.08 ![X0,X1,X2,X3,X4]: (~sum(X0,X1,X2)|~sum(multiply(X3,X0),multiply(X3,X1),X4)|product(X3,X2,X4))),
% 1.85/1.08 inference(resolution,[status(thm)],[f28,f15])).
% 1.85/1.08 fof(f38,plain,(
% 1.85/1.08 ![X0,X1,X2,X3,X4]: (~sum(X0,X1,X2)|~product(X3,X2,X4)|sum(multiply(X3,X0),multiply(X3,X1),X4))),
% 1.85/1.08 inference(resolution,[status(thm)],[f29,f15])).
% 1.85/1.08 fof(f40,plain,(
% 1.85/1.08 ![X0]: (sum(additive_inverse(additive_identity),X0,X0))),
% 1.85/1.08 inference(resolution,[status(thm)],[f34,f9])).
% 1.85/1.08 fof(f50,plain,(
% 1.85/1.08 ![X0,X1,X2]: (~sum(multiply(X0,additive_inverse(additive_identity)),multiply(X0,X1),X2)|product(X0,X1,X2))),
% 1.85/1.08 inference(resolution,[status(thm)],[f37,f40])).
% 1.85/1.08 fof(f62,plain,(
% 1.85/1.08 ![X0,X1,X2]: (~product(X0,additive_identity,X1)|sum(multiply(X0,additive_inverse(X2)),multiply(X0,X2),X1))),
% 1.85/1.08 inference(resolution,[status(thm)],[f38,f10])).
% 1.85/1.08 fof(f63,plain,(
% 1.85/1.08 ![X0,X1,X2]: (~product(X0,X1,X2)|sum(multiply(X0,additive_identity),multiply(X0,X1),X2))),
% 1.85/1.08 inference(resolution,[status(thm)],[f38,f9])).
% 1.85/1.08 fof(f64,plain,(
% 1.85/1.08 ![X0,X1]: (sum(multiply(X0,additive_inverse(X1)),multiply(X0,X1),multiply(X0,additive_identity)))),
% 1.85/1.08 inference(resolution,[status(thm)],[f62,f15])).
% 1.85/1.08 fof(f78,plain,(
% 1.85/1.08 ![X0,X1]: (sum(multiply(X0,additive_identity),multiply(X0,X1),multiply(X0,X1)))),
% 1.85/1.08 inference(resolution,[status(thm)],[f63,f15])).
% 1.85/1.08 fof(f173,plain,(
% 1.85/1.08 ![X0,X1,X2]: (~sum(additive_identity,multiply(X0,additive_identity),X1)|sum(multiply(X0,additive_inverse(X2)),multiply(X0,X2),X1))),
% 1.85/1.08 inference(resolution,[status(thm)],[f64,f27])).
% 1.85/1.08 fof(f182,plain,(
% 1.85/1.08 ![X0,X1,X2]: (~sum(additive_inverse(multiply(X0,additive_identity)),multiply(X0,X1),X2)|sum(additive_identity,multiply(X0,X1),X2))),
% 1.85/1.08 inference(resolution,[status(thm)],[f78,f26])).
% 1.85/1.08 fof(f454,plain,(
% 1.85/1.08 ![X0]: (sum(additive_identity,multiply(X0,additive_identity),additive_identity))),
% 1.85/1.08 inference(resolution,[status(thm)],[f182,f10])).
% 1.85/1.08 fof(f469,plain,(
% 1.85/1.08 ![X0,X1]: (sum(multiply(X0,additive_inverse(X1)),multiply(X0,X1),additive_identity))),
% 1.85/1.08 inference(resolution,[status(thm)],[f454,f173])).
% 1.85/1.08 fof(f2084,plain,(
% 1.85/1.08 ![X0]: (product(X0,additive_identity,additive_identity))),
% 1.85/1.08 inference(resolution,[status(thm)],[f469,f50])).
% 1.85/1.08 fof(f2114,plain,(
% 1.85/1.08 $false),
% 1.85/1.08 inference(backward_subsumption_resolution,[status(thm)],[f20,f2084])).
% 1.85/1.08 % SZS output end CNFRefutation for theBenchmark.p
% 1.85/1.10 % Elapsed time: 0.659173 seconds
% 1.85/1.10 % CPU time: 4.909969 seconds
% 1.85/1.10 % Total memory used: 69.165 MB
% 1.85/1.10 % Net memory used: 65.286 MB
%------------------------------------------------------------------------------