%------------------------------------------------------------------------------
% File : Drodi-SAT---4.1.1
% Problem : FLD013-5 : 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 : 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 12:22:18 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 : FLD013-5 : TPTP v9.3.1. Bugfixed v2.1.0.
% 0.00/0.04 % Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.07/0.35 % Computer : n026.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 15:40:07 UTC 2026
% 0.07/0.35 % CPUTime :
% 0.07/0.36 % 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/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/benchmark/theBenchmark.p')).
% 0.12/0.39 fof(f27,hypothesis,(
% 0.12/0.39 defined(a) ),
% 0.12/0.39 file('/export/starexec/sandbox2/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/sandbox2/benchmark/theBenchmark.p')).
% 0.12/0.39 fof(f34,negated_conjecture,(
% 0.12/0.39 sum(additive_identity,c,d) ),
% 0.12/0.39 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.12/0.39 fof(f35,negated_conjecture,(
% 0.12/0.39 sum(a,c,u) ),
% 0.12/0.39 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.12/0.39 fof(f36,negated_conjecture,(
% 0.12/0.39 sum(d,b,v) ),
% 0.12/0.39 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.12/0.39 fof(f37,negated_conjecture,(
% 0.12/0.39 ~ sum(additive_identity,u,v) ),
% 0.12/0.39 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.12/0.39 fof(f38,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(f39,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)],[f38])).
% 0.12/0.39 fof(f40,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(f41,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)],[f40])).
% 0.12/0.39 fof(f42,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(f44,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(f77,plain,(
% 0.12/0.39 defined(a)),
% 0.12/0.39 inference(cnf_transformation,[status(thm)],[f27])).
% 0.12/0.39 fof(f83,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(f84,plain,(
% 0.12/0.39 sum(additive_identity,c,d)),
% 0.12/0.39 inference(cnf_transformation,[status(thm)],[f34])).
% 0.12/0.39 fof(f85,plain,(
% 0.12/0.39 sum(a,c,u)),
% 0.12/0.39 inference(cnf_transformation,[status(thm)],[f35])).
% 0.12/0.39 fof(f86,plain,(
% 0.12/0.39 sum(d,b,v)),
% 0.12/0.39 inference(cnf_transformation,[status(thm)],[f36])).
% 0.12/0.39 fof(f87,plain,(
% 0.12/0.39 ~sum(additive_identity,u,v)),
% 0.12/0.39 inference(cnf_transformation,[status(thm)],[f37])).
% 0.12/0.39 fof(f89,plain,(
% 0.12/0.39 ![X0,X1,X2]: (sum(additive_identity,X0,X1)|~sum(c,X2,X0)|~sum(d,X2,X1))),
% 0.12/0.39 inference(resolution,[status(thm)],[f39,f84])).
% 0.12/0.39 fof(f94,plain,(
% 0.12/0.39 sum(additive_identity,a,a)),
% 0.12/0.39 inference(resolution,[status(thm)],[f42,f77])).
% 0.12/0.39 fof(f96,plain,(
% 0.12/0.39 sum(c,a,u)),
% 0.12/0.39 inference(resolution,[status(thm)],[f44,f85])).
% 0.12/0.39 fof(f97,plain,(
% 0.12/0.39 sum(c,additive_identity,d)),
% 0.12/0.39 inference(resolution,[status(thm)],[f44,f84])).
% 0.12/0.39 fof(f324,plain,(
% 0.12/0.39 ![X0,X1,X2]: (sum(d,X0,X1)|~sum(additive_identity,X0,X2)|~sum(c,X2,X1))),
% 0.12/0.39 inference(resolution,[status(thm)],[f97,f41])).
% 0.12/0.39 fof(f325,plain,(
% 0.12/0.39 ![X0,X1,X2]: (sum(c,X0,X1)|~sum(additive_identity,X2,X0)|~sum(d,X2,X1))),
% 0.12/0.39 inference(resolution,[status(thm)],[f97,f39])).
% 0.12/0.39 fof(f351,plain,(
% 0.12/0.39 ![X0]: (sum(c,b,X0)|~sum(d,a,X0))),
% 0.12/0.39 inference(resolution,[status(thm)],[f325,f83])).
% 0.12/0.39 fof(f607,plain,(
% 0.12/0.39 ![X0]: (sum(d,a,X0)|~sum(c,a,X0))),
% 0.12/0.39 inference(resolution,[status(thm)],[f94,f324])).
% 0.12/0.39 fof(f612,plain,(
% 0.12/0.39 sum(d,a,u)),
% 0.12/0.39 inference(resolution,[status(thm)],[f607,f96])).
% 0.12/0.39 fof(f614,plain,(
% 0.12/0.39 sum(c,b,u)),
% 0.12/0.39 inference(resolution,[status(thm)],[f612,f351])).
% 0.12/0.39 fof(f626,plain,(
% 0.12/0.39 ![X0]: (sum(additive_identity,u,X0)|~sum(d,b,X0))),
% 0.12/0.39 inference(resolution,[status(thm)],[f614,f89])).
% 0.12/0.39 fof(f673,plain,(
% 0.12/0.39 sum(additive_identity,u,v)),
% 0.12/0.39 inference(resolution,[status(thm)],[f626,f86])).
% 0.12/0.41 fof(f674,plain,(
% 0.12/0.41 $false),
% 0.12/0.41 inference(forward_subsumption_resolution,[status(thm)],[f673,f87])).
% 0.12/0.41 % SZS output end CNFRefutation for theBenchmark.p
% 0.12/0.41 % Elapsed time: 0.051638 seconds
% 0.12/0.41 % CPU time: 0.170711 seconds
% 0.12/0.41 % Total memory used: 18.884 MB
% 0.12/0.41 % Net memory used: 18.708 MB
%------------------------------------------------------------------------------