%------------------------------------------------------------------------------
% File : Drodi-SAT---4.1.1
% Problem : RNG038-1 : 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 : n026.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 0.14s 0.64s
% Output : Assurance 0s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : RNG038-1 : TPTP v9.3.1. Released v1.0.0.
% 0.00/0.04 % Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.10/0.35 % Computer : n026.cluster.edu
% 0.10/0.35 % Model : x86_64 x86_64
% 0.10/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.35 % Memory : 8046.5625MB
% 0.10/0.35 % OS : Linux 6.8.0-71-generic
% 0.10/0.35 % CPULimit : 300
% 0.10/0.35 % WCLimit : 300
% 0.10/0.35 % DateTime : Mon Sep 21 04:17:37 UTC 2026
% 0.10/0.36 % CPUTime :
% 0.14/0.37 % Drodi V4.1.1
% 0.14/0.64 % Refutation found
% 0.14/0.64 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.14/0.64 % SZS output start CNFRefutation for theBenchmark
% 0.14/0.64 fof(f1,axiom,(
% 0.14/0.64 (![X]: (sum(additive_identity,X,X) ))),
% 0.14/0.64 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.14/0.64 fof(f5,axiom,(
% 0.14/0.64 (![X]: (sum(additive_inverse(X),X,additive_identity) ))),
% 0.14/0.64 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.14/0.64 fof(f8,axiom,(
% 0.14/0.64 (![X,Y,U,Z,V,W]: (( ~ sum(X,Y,U)| ~ sum(Y,Z,V)| ~ sum(X,V,W)| sum(U,Z,W) ) ))),
% 0.14/0.64 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.14/0.64 fof(f9,axiom,(
% 0.14/0.64 (![X,Y,Z]: (( ~ sum(X,Y,Z)| sum(Y,X,Z) ) ))),
% 0.14/0.64 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.14/0.64 fof(f14,axiom,(
% 0.14/0.64 (![Y,X,V1,Z,V2,V3,V4]: (( ~ product(Y,X,V1)| ~ product(Z,X,V2)| ~ sum(Y,Z,V3)| ~ product(V3,X,V4)| sum(V1,V2,V4) ) ))),
% 0.14/0.64 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.14/0.64 fof(f16,axiom,(
% 0.14/0.64 (![X,Y,U,V]: (( ~ sum(X,Y,U)| ~ sum(X,Y,V)| U = V ) ))),
% 0.14/0.64 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.14/0.64 fof(f18,hypothesis,(
% 0.14/0.64 (![X,Y]: (( X != additive_identity| product(X,h(X,Y),Y) ) ))),
% 0.14/0.64 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.14/0.64 fof(f21,negated_conjecture,(
% 0.14/0.64 b != additive_identity ),
% 0.14/0.64 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.14/0.64 fof(f22,plain,(
% 0.14/0.64 ![X0]: (sum(additive_identity,X0,X0))),
% 0.14/0.64 inference(cnf_transformation,[status(thm)],[f1])).
% 0.14/0.64 fof(f26,plain,(
% 0.14/0.64 ![X0]: (sum(additive_inverse(X0),X0,additive_identity))),
% 0.14/0.64 inference(cnf_transformation,[status(thm)],[f5])).
% 0.14/0.64 fof(f30,plain,(
% 0.14/0.64 ![U,Z,W]: ((![X,V]: ((![Y]: (~sum(X,Y,U)|~sum(Y,Z,V)))|~sum(X,V,W)))|sum(U,Z,W))),
% 0.14/0.64 inference(miniscoping,[status(thm)],[f8])).
% 0.14/0.64 fof(f31,plain,(
% 0.14/0.64 ![X0,X1,X2,X3,X4,X5]: (~sum(X0,X1,X2)|~sum(X1,X3,X4)|~sum(X0,X4,X5)|sum(X2,X3,X5))),
% 0.14/0.64 inference(cnf_transformation,[status(thm)],[f30])).
% 0.14/0.64 fof(f32,plain,(
% 0.14/0.64 ![X0,X1,X2]: (~sum(X0,X1,X2)|sum(X1,X0,X2))),
% 0.14/0.64 inference(cnf_transformation,[status(thm)],[f9])).
% 0.14/0.64 fof(f41,plain,(
% 0.14/0.64 ![V1,V2,V4]: ((![X,V3]: ((![Y,Z]: ((~product(Y,X,V1)|~product(Z,X,V2))|~sum(Y,Z,V3)))|~product(V3,X,V4)))|sum(V1,V2,V4))),
% 0.14/0.64 inference(miniscoping,[status(thm)],[f14])).
% 0.14/0.64 fof(f42,plain,(
% 0.14/0.64 ![X0,X1,X2,X3,X4,X5,X6]: (~product(X0,X1,X2)|~product(X3,X1,X4)|~sum(X0,X3,X5)|~product(X5,X1,X6)|sum(X2,X4,X6))),
% 0.14/0.64 inference(cnf_transformation,[status(thm)],[f41])).
% 0.14/0.64 fof(f45,plain,(
% 0.14/0.64 ![U,V]: ((![X,Y]: (~sum(X,Y,U)|~sum(X,Y,V)))|U=V)),
% 0.14/0.64 inference(miniscoping,[status(thm)],[f16])).
% 0.14/0.64 fof(f46,plain,(
% 0.14/0.64 ![X0,X1,X2,X3]: (~sum(X0,X1,X2)|~sum(X0,X1,X3)|X2=X3)),
% 0.14/0.64 inference(cnf_transformation,[status(thm)],[f45])).
% 0.14/0.64 fof(f49,plain,(
% 0.14/0.64 ![X]: (~X=additive_identity|(![Y]: product(X,h(X,Y),Y)))),
% 0.14/0.64 inference(miniscoping,[status(thm)],[f18])).
% 0.14/0.64 fof(f50,plain,(
% 0.14/0.64 ![X0,X1]: (~X0=additive_identity|product(X0,h(X0,X1),X1))),
% 0.14/0.64 inference(cnf_transformation,[status(thm)],[f49])).
% 0.14/0.64 fof(f53,plain,(
% 0.14/0.64 ~b=additive_identity),
% 0.14/0.64 inference(cnf_transformation,[status(thm)],[f21])).
% 0.14/0.64 fof(f55,plain,(
% 0.14/0.64 ![X0,X1]: (~sum(additive_identity,X0,X1)|X1=X0)),
% 0.14/0.64 inference(resolution,[status(thm)],[f46,f22])).
% 0.14/0.64 fof(f67,plain,(
% 0.14/0.64 ![X0,X1,X2,X3,X4]: (X0=X1|~sum(X2,X3,additive_identity)|~sum(X3,X1,X4)|~sum(X2,X4,X0))),
% 0.14/0.64 inference(resolution,[status(thm)],[f55,f31])).
% 0.14/0.64 fof(f85,plain,(
% 0.14/0.64 ![X0,X1,X2,X3]: (X0=X1|~sum(X2,X1,X3)|~sum(additive_inverse(X2),X3,X0))),
% 0.14/0.64 inference(resolution,[status(thm)],[f67,f26])).
% 0.14/0.64 fof(f93,plain,(
% 0.14/0.64 ![X0,X1]: (additive_identity=X0|~sum(X1,X0,X1))),
% 0.14/0.64 inference(resolution,[status(thm)],[f85,f26])).
% 0.14/0.64 fof(f106,plain,(
% 0.14/0.64 ![X0,X1]: (additive_identity=X0|~sum(X0,X1,X1))),
% 0.14/0.64 inference(resolution,[status(thm)],[f93,f32])).
% 0.14/0.64 fof(f150,plain,(
% 0.14/0.64 ![X0,X1,X2,X3]: (~product(X0,h(X1,X2),X3)|~sum(X0,X1,X1)|sum(X3,X2,X2)|~X1=additive_identity)),
% 0.14/0.64 inference(resolution,[status(thm)],[f42,f50])).
% 0.14/0.64 fof(f364,plain,(
% 0.14/0.64 ![X0,X1]: (~sum(X0,X0,X0)|sum(X1,X1,X1)|~X0=additive_identity|~X0=additive_identity)),
% 0.14/0.64 inference(resolution,[status(thm)],[f150,f50])).
% 0.14/0.64 fof(f370,plain,(
% 0.14/0.64 ![X0,X1]: (~sum(X0,X0,X0)|sum(X1,X1,X1)|~X0=additive_identity)),
% 0.14/0.64 inference(duplicate_literals_removal,[status(thm)],[f364])).
% 0.14/0.64 fof(f371,plain,(
% 0.14/0.64 ![X0,X1]: (~sum(X0,X0,X0)|sum(X1,X1,X1))),
% 0.14/0.65 inference(forward_subsumption_resolution,[status(thm)],[f370,f106])).
% 0.14/0.65 fof(f379,plain,(
% 0.14/0.65 ![X0]: (sum(X0,X0,X0))),
% 0.14/0.65 inference(resolution,[status(thm)],[f371,f22])).
% 0.14/0.65 fof(f410,plain,(
% 0.14/0.65 ![X0]: (additive_identity=X0)),
% 0.14/0.65 inference(resolution,[status(thm)],[f379,f106])).
% 0.14/0.65 fof(f417,plain,(
% 0.14/0.65 $false),
% 0.14/0.65 inference(backward_subsumption_resolution,[status(thm)],[f53,f410])).
% 0.14/0.65 % SZS output end CNFRefutation for theBenchmark.p
% 0.14/0.67 % Elapsed time: 0.289860 seconds
% 0.14/0.67 % CPU time: 2.051217 seconds
% 0.14/0.67 % Total memory used: 55.165 MB
% 0.14/0.67 % Net memory used: 53.060 MB
%------------------------------------------------------------------------------