%------------------------------------------------------------------------------
% File : Drodi-SAT---4.1.1
% Problem : FLD022-3 : TPTP v9.3.1. Bugfixed v2.1.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% Computer : n011.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 12:22:19 PM UTC 2026
% Result : Unsatisfiable 0.12s 0.39s
% Output : Assurance 0s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : FLD022-3 : TPTP v9.3.1. Bugfixed v2.1.0.
% 0.00/0.04 % Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.08/0.35 % Computer : n011.cluster.edu
% 0.08/0.35 % Model : x86_64 x86_64
% 0.08/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.35 % Memory : 8046.5625MB
% 0.08/0.35 % OS : Linux 6.8.0-71-generic
% 0.08/0.35 % CPULimit : 300
% 0.08/0.35 % WCLimit : 300
% 0.08/0.35 % DateTime : Mon Sep 21 15:38:26 UTC 2026
% 0.12/0.35 % CPUTime :
% 0.12/0.36 % Drodi V4.1.1
% 0.12/0.39 % Refutation found
% 0.12/0.39 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.12/0.39 % SZS output start CNFRefutation for theBenchmark
% 0.12/0.39 fof(f1,axiom,(
% 0.12/0.39 (![X,V,W,Y,U,Z]: (( sum(X,V,W)| ~ sum(X,Y,U)| ~ sum(Y,Z,V)| ~ sum(U,Z,W) ) ))),
% 0.12/0.39 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.12/0.39 fof(f2,axiom,(
% 0.12/0.39 (![U,Z,W,X,Y,V]: (( sum(U,Z,W)| ~ sum(X,Y,U)| ~ sum(Y,Z,V)| ~ sum(X,V,W) ) ))),
% 0.12/0.39 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.12/0.39 fof(f3,axiom,(
% 0.12/0.39 (![X]: (( sum(additive_identity,X,X)| ~ defined(X) ) ))),
% 0.12/0.39 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.12/0.39 fof(f4,axiom,(
% 0.12/0.39 (![X]: (( sum(additive_inverse(X),X,additive_identity)| ~ defined(X) ) ))),
% 0.12/0.39 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.12/0.39 fof(f5,axiom,(
% 0.12/0.39 (![Y,X,Z]: (( sum(Y,X,Z)| ~ sum(X,Y,Z) ) ))),
% 0.12/0.39 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.12/0.39 fof(f28,hypothesis,(
% 0.12/0.39 defined(b) ),
% 0.12/0.39 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.12/0.39 fof(f29,hypothesis,(
% 0.12/0.39 defined(c) ),
% 0.12/0.39 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.12/0.39 fof(f31,negated_conjecture,(
% 0.12/0.39 sum(a,c,u) ),
% 0.12/0.39 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.12/0.39 fof(f32,negated_conjecture,(
% 0.12/0.39 sum(b,c,u) ),
% 0.12/0.39 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.12/0.39 fof(f33,negated_conjecture,(
% 0.12/0.39 ~ sum(additive_identity,a,b) ),
% 0.12/0.39 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.12/0.39 fof(f34,plain,(
% 0.12/0.39 ![W,U,Z]: ((![V,Y]: ((![X]: (sum(X,V,W)|~sum(X,Y,U)))|~sum(Y,Z,V)))|~sum(U,Z,W))),
% 0.12/0.39 inference(miniscoping,[status(thm)],[f1])).
% 0.12/0.39 fof(f35,plain,(
% 0.12/0.39 ![X0,X1,X2,X3,X4,X5]: (sum(X0,X1,X2)|~sum(X0,X3,X4)|~sum(X3,X5,X1)|~sum(X4,X5,X2))),
% 0.12/0.39 inference(cnf_transformation,[status(thm)],[f34])).
% 0.12/0.39 fof(f36,plain,(
% 0.12/0.39 ![W,X,V]: ((![Z,Y]: ((![U]: (sum(U,Z,W)|~sum(X,Y,U)))|~sum(Y,Z,V)))|~sum(X,V,W))),
% 0.12/0.39 inference(miniscoping,[status(thm)],[f2])).
% 0.12/0.39 fof(f37,plain,(
% 0.12/0.39 ![X0,X1,X2,X3,X4,X5]: (sum(X0,X1,X2)|~sum(X3,X4,X0)|~sum(X4,X1,X5)|~sum(X3,X5,X2))),
% 0.12/0.39 inference(cnf_transformation,[status(thm)],[f36])).
% 0.12/0.39 fof(f38,plain,(
% 0.12/0.39 ![X0]: (sum(additive_identity,X0,X0)|~defined(X0))),
% 0.12/0.39 inference(cnf_transformation,[status(thm)],[f3])).
% 0.12/0.39 fof(f39,plain,(
% 0.12/0.39 ![X0]: (sum(additive_inverse(X0),X0,additive_identity)|~defined(X0))),
% 0.12/0.39 inference(cnf_transformation,[status(thm)],[f4])).
% 0.12/0.39 fof(f40,plain,(
% 0.12/0.39 ![X0,X1,X2]: (sum(X0,X1,X2)|~sum(X1,X0,X2))),
% 0.12/0.39 inference(cnf_transformation,[status(thm)],[f5])).
% 0.12/0.39 fof(f74,plain,(
% 0.12/0.39 defined(b)),
% 0.12/0.39 inference(cnf_transformation,[status(thm)],[f28])).
% 0.12/0.39 fof(f75,plain,(
% 0.12/0.39 defined(c)),
% 0.12/0.39 inference(cnf_transformation,[status(thm)],[f29])).
% 0.12/0.39 fof(f77,plain,(
% 0.12/0.39 sum(a,c,u)),
% 0.12/0.39 inference(cnf_transformation,[status(thm)],[f31])).
% 0.12/0.39 fof(f78,plain,(
% 0.12/0.39 sum(b,c,u)),
% 0.12/0.39 inference(cnf_transformation,[status(thm)],[f32])).
% 0.12/0.39 fof(f79,plain,(
% 0.12/0.39 ~sum(additive_identity,a,b)),
% 0.12/0.39 inference(cnf_transformation,[status(thm)],[f33])).
% 0.12/0.39 fof(f105,plain,(
% 0.12/0.39 sum(additive_identity,b,b)),
% 0.12/0.39 inference(resolution,[status(thm)],[f38,f74])).
% 0.12/0.39 fof(f113,plain,(
% 0.12/0.39 sum(additive_inverse(c),c,additive_identity)),
% 0.12/0.39 inference(resolution,[status(thm)],[f39,f75])).
% 0.12/0.39 fof(f117,plain,(
% 0.12/0.39 sum(c,b,u)),
% 0.12/0.39 inference(resolution,[status(thm)],[f40,f78])).
% 0.12/0.39 fof(f118,plain,(
% 0.12/0.39 sum(c,a,u)),
% 0.12/0.39 inference(resolution,[status(thm)],[f40,f77])).
% 0.12/0.39 fof(f656,plain,(
% 0.12/0.39 ![X0,X1,X2]: (sum(X0,u,X1)|~sum(X0,c,X2)|~sum(X2,b,X1))),
% 0.12/0.39 inference(resolution,[status(thm)],[f117,f35])).
% 0.12/0.39 fof(f659,plain,(
% 0.12/0.39 ![X0,X1,X2]: (sum(X0,a,X1)|~sum(X2,c,X0)|~sum(X2,u,X1))),
% 0.12/0.39 inference(resolution,[status(thm)],[f118,f37])).
% 0.12/0.39 fof(f1445,plain,(
% 0.12/0.39 ![X0]: (sum(additive_inverse(c),u,X0)|~sum(additive_identity,b,X0))),
% 0.12/0.39 inference(resolution,[status(thm)],[f113,f656])).
% 0.12/0.39 fof(f1458,plain,(
% 0.12/0.39 sum(additive_inverse(c),u,b)),
% 0.12/0.39 inference(resolution,[status(thm)],[f1445,f105])).
% 0.12/0.39 fof(f1470,plain,(
% 0.12/0.39 ![X0]: (sum(X0,a,b)|~sum(additive_inverse(c),c,X0))),
% 0.12/0.39 inference(resolution,[status(thm)],[f1458,f659])).
% 0.12/0.39 fof(f1532,plain,(
% 0.12/0.39 sum(additive_identity,a,b)),
% 0.12/0.39 inference(resolution,[status(thm)],[f1470,f113])).
% 0.12/0.39 fof(f1533,plain,(
% 0.12/0.39 $false),
% 0.12/0.39 inference(forward_subsumption_resolution,[status(thm)],[f1532,f79])).
% 0.12/0.39 % SZS output end CNFRefutation for theBenchmark.p
% 0.12/0.41 % Elapsed time: 0.048339 seconds
% 0.12/0.41 % CPU time: 0.170087 seconds
% 0.12/0.41 % Total memory used: 12.422 MB
% 0.12/0.41 % Net memory used: 12.266 MB
%------------------------------------------------------------------------------