%------------------------------------------------------------------------------
% File : Drodi-SAT---4.1.1
% Problem : FLD039-3 : TPTP v9.3.1. Bugfixed v2.1.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% Computer : n009.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 12:22:23 PM UTC 2026
% Result : Unsatisfiable 0.09s 0.40s
% Output : Assurance 0s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : FLD039-3 : TPTP v9.3.1. Bugfixed v2.1.0.
% 0.00/0.04 % Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.09/0.36 % Computer : n009.cluster.edu
% 0.09/0.36 % Model : x86_64 x86_64
% 0.09/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.36 % Memory : 8046.5625MB
% 0.09/0.36 % OS : Linux 6.8.0-71-generic
% 0.09/0.36 % CPULimit : 300
% 0.09/0.36 % WCLimit : 300
% 0.09/0.36 % DateTime : Mon Sep 21 15:39:58 UTC 2026
% 0.09/0.36 % CPUTime :
% 0.09/0.37 % Drodi V4.1.1
% 0.09/0.40 % Refutation found
% 0.09/0.40 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.09/0.40 % SZS output start CNFRefutation for theBenchmark
% 0.09/0.40 fof(f1,axiom,(
% 0.09/0.40 (![X,V,W,Y,U,Z]: (( sum(X,V,W)| ~ sum(X,Y,U)| ~ sum(Y,Z,V)| ~ sum(U,Z,W) ) ))),
% 0.09/0.40 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.09/0.40 fof(f2,axiom,(
% 0.09/0.40 (![U,Z,W,X,Y,V]: (( sum(U,Z,W)| ~ sum(X,Y,U)| ~ sum(Y,Z,V)| ~ sum(X,V,W) ) ))),
% 0.09/0.40 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.09/0.40 fof(f3,axiom,(
% 0.09/0.40 (![X]: (( sum(additive_identity,X,X)| ~ defined(X) ) ))),
% 0.09/0.40 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.09/0.40 fof(f5,axiom,(
% 0.09/0.40 (![Y,X,Z]: (( sum(Y,X,Z)| ~ sum(X,Y,Z) ) ))),
% 0.09/0.40 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.09/0.40 fof(f17,axiom,(
% 0.09/0.40 defined(multiplicative_identity) ),
% 0.09/0.40 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.09/0.40 fof(f26,axiom,(
% 0.09/0.40 ~ sum(additive_identity,additive_identity,multiplicative_identity) ),
% 0.09/0.40 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.09/0.40 fof(f29,negated_conjecture,(
% 0.09/0.40 sum(additive_identity,multiplicative_identity,additive_identity) ),
% 0.09/0.40 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.09/0.40 fof(f30,plain,(
% 0.09/0.40 ![W,U,Z]: ((![V,Y]: ((![X]: (sum(X,V,W)|~sum(X,Y,U)))|~sum(Y,Z,V)))|~sum(U,Z,W))),
% 0.09/0.40 inference(miniscoping,[status(thm)],[f1])).
% 0.09/0.40 fof(f31,plain,(
% 0.09/0.40 ![X0,X1,X2,X3,X4,X5]: (sum(X0,X1,X2)|~sum(X0,X3,X4)|~sum(X3,X5,X1)|~sum(X4,X5,X2))),
% 0.09/0.40 inference(cnf_transformation,[status(thm)],[f30])).
% 0.09/0.40 fof(f32,plain,(
% 0.09/0.40 ![W,X,V]: ((![Z,Y]: ((![U]: (sum(U,Z,W)|~sum(X,Y,U)))|~sum(Y,Z,V)))|~sum(X,V,W))),
% 0.09/0.40 inference(miniscoping,[status(thm)],[f2])).
% 0.09/0.40 fof(f33,plain,(
% 0.09/0.40 ![X0,X1,X2,X3,X4,X5]: (sum(X0,X1,X2)|~sum(X3,X4,X0)|~sum(X4,X1,X5)|~sum(X3,X5,X2))),
% 0.09/0.40 inference(cnf_transformation,[status(thm)],[f32])).
% 0.09/0.40 fof(f34,plain,(
% 0.09/0.40 ![X0]: (sum(additive_identity,X0,X0)|~defined(X0))),
% 0.09/0.40 inference(cnf_transformation,[status(thm)],[f3])).
% 0.09/0.40 fof(f36,plain,(
% 0.09/0.40 ![X0,X1,X2]: (sum(X0,X1,X2)|~sum(X1,X0,X2))),
% 0.09/0.40 inference(cnf_transformation,[status(thm)],[f5])).
% 0.09/0.40 fof(f54,plain,(
% 0.09/0.40 defined(multiplicative_identity)),
% 0.09/0.40 inference(cnf_transformation,[status(thm)],[f17])).
% 0.09/0.40 fof(f68,plain,(
% 0.09/0.40 ~sum(additive_identity,additive_identity,multiplicative_identity)),
% 0.09/0.40 inference(cnf_transformation,[status(thm)],[f26])).
% 0.09/0.40 fof(f71,plain,(
% 0.09/0.40 sum(additive_identity,multiplicative_identity,additive_identity)),
% 0.09/0.40 inference(cnf_transformation,[status(thm)],[f29])).
% 0.09/0.40 fof(f73,plain,(
% 0.09/0.40 ![X0,X1,X2]: (sum(X0,additive_identity,X1)|~sum(X0,additive_identity,X2)|~sum(X2,multiplicative_identity,X1))),
% 0.09/0.40 inference(resolution,[status(thm)],[f31,f71])).
% 0.09/0.40 fof(f74,plain,(
% 0.09/0.40 ![X0,X1,X2]: (sum(X0,X1,additive_identity)|~sum(X0,X2,additive_identity)|~sum(X2,multiplicative_identity,X1))),
% 0.09/0.40 inference(resolution,[status(thm)],[f31,f71])).
% 0.09/0.40 fof(f78,plain,(
% 0.09/0.40 sum(additive_identity,multiplicative_identity,multiplicative_identity)),
% 0.09/0.40 inference(resolution,[status(thm)],[f34,f54])).
% 0.09/0.40 fof(f113,plain,(
% 0.09/0.40 sum(multiplicative_identity,additive_identity,additive_identity)),
% 0.09/0.40 inference(resolution,[status(thm)],[f36,f71])).
% 0.09/0.40 fof(f380,plain,(
% 0.09/0.40 ![X0]: (sum(X0,multiplicative_identity,additive_identity)|~sum(X0,additive_identity,additive_identity))),
% 0.09/0.40 inference(resolution,[status(thm)],[f74,f78])).
% 0.09/0.40 fof(f385,plain,(
% 0.09/0.40 ![X0]: (sum(X0,additive_identity,additive_identity)|~sum(multiplicative_identity,multiplicative_identity,X0))),
% 0.09/0.40 inference(resolution,[status(thm)],[f113,f33])).
% 0.09/0.40 fof(f393,plain,(
% 0.09/0.40 sum(multiplicative_identity,multiplicative_identity,additive_identity)),
% 0.09/0.40 inference(resolution,[status(thm)],[f380,f113])).
% 0.09/0.40 fof(f403,plain,(
% 0.09/0.40 sum(additive_identity,additive_identity,additive_identity)),
% 0.09/0.40 inference(resolution,[status(thm)],[f385,f393])).
% 0.09/0.40 fof(f406,plain,(
% 0.09/0.40 ![X0]: (sum(additive_identity,additive_identity,X0)|~sum(additive_identity,multiplicative_identity,X0))),
% 0.09/0.40 inference(resolution,[status(thm)],[f403,f73])).
% 0.09/0.40 fof(f420,plain,(
% 0.09/0.40 sum(additive_identity,additive_identity,multiplicative_identity)),
% 0.09/0.40 inference(resolution,[status(thm)],[f406,f78])).
% 0.09/0.40 fof(f422,plain,(
% 0.09/0.40 $false),
% 0.09/0.40 inference(forward_subsumption_resolution,[status(thm)],[f420,f68])).
% 0.09/0.40 % SZS output end CNFRefutation for theBenchmark.p
% 0.09/0.43 % Elapsed time: 0.048318 seconds
% 0.09/0.43 % CPU time: 0.142649 seconds
% 0.09/0.43 % Total memory used: 17.859 MB
% 0.09/0.43 % Net memory used: 17.613 MB
%------------------------------------------------------------------------------