%------------------------------------------------------------------------------
% File : Drodi-SAT---4.1.1
% Problem : FLD013-4 : 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 : n020.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 0.17s 0.50s
% Output : Assurance 0s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.04 % Problem : FLD013-4 : TPTP v9.3.1. Bugfixed v2.1.0.
% 0.00/0.06 % Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.17/0.44 % Computer : n020.cluster.edu
% 0.17/0.44 % Model : x86_64 x86_64
% 0.17/0.44 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.17/0.44 % Memory : 8046.5625MB
% 0.17/0.44 % OS : Linux 6.8.0-71-generic
% 0.17/0.44 % CPULimit : 300
% 0.17/0.44 % WCLimit : 300
% 0.17/0.44 % DateTime : Mon Sep 21 15:38:17 UTC 2026
% 0.17/0.44 % CPUTime :
% 0.17/0.46 % Drodi V4.1.1
% 0.17/0.50 % Refutation found
% 0.17/0.50 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.17/0.50 % SZS output start CNFRefutation for theBenchmark
% 0.17/0.50 fof(f1,axiom,(
% 0.17/0.50 (![X,V,W,Y,U,Z]: (( sum(X,V,W)| ~ sum(X,Y,U)| ~ sum(Y,Z,V)| ~ sum(U,Z,W) ) ))),
% 0.17/0.50 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.17/0.50 fof(f2,axiom,(
% 0.17/0.50 (![U,Z,W,X,Y,V]: (( sum(U,Z,W)| ~ sum(X,Y,U)| ~ sum(Y,Z,V)| ~ sum(X,V,W) ) ))),
% 0.17/0.50 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.17/0.50 fof(f3,axiom,(
% 0.17/0.50 (![X]: (( sum(additive_identity,X,X)| ~ defined(X) ) ))),
% 0.17/0.50 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.17/0.50 fof(f5,axiom,(
% 0.17/0.50 (![Y,X,Z]: (( sum(Y,X,Z)| ~ sum(X,Y,Z) ) ))),
% 0.17/0.50 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.17/0.50 fof(f30,hypothesis,(
% 0.17/0.50 defined(d) ),
% 0.17/0.50 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.17/0.50 fof(f31,hypothesis,(
% 0.17/0.50 defined(u) ),
% 0.17/0.50 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.17/0.50 fof(f32,negated_conjecture,(
% 0.17/0.50 sum(additive_identity,a,b) ),
% 0.17/0.50 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.17/0.50 fof(f33,negated_conjecture,(
% 0.17/0.50 sum(additive_identity,c,d) ),
% 0.17/0.50 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.17/0.50 fof(f34,negated_conjecture,(
% 0.17/0.50 sum(a,c,u) ),
% 0.17/0.50 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.17/0.50 fof(f35,negated_conjecture,(
% 0.17/0.50 ~ sum(d,b,u) ),
% 0.17/0.50 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.17/0.50 fof(f36,plain,(
% 0.17/0.50 ![W,U,Z]: ((![V,Y]: ((![X]: (sum(X,V,W)|~sum(X,Y,U)))|~sum(Y,Z,V)))|~sum(U,Z,W))),
% 0.17/0.50 inference(miniscoping,[status(thm)],[f1])).
% 0.17/0.50 fof(f37,plain,(
% 0.17/0.50 ![X0,X1,X2,X3,X4,X5]: (sum(X0,X1,X2)|~sum(X0,X3,X4)|~sum(X3,X5,X1)|~sum(X4,X5,X2))),
% 0.17/0.50 inference(cnf_transformation,[status(thm)],[f36])).
% 0.17/0.50 fof(f38,plain,(
% 0.17/0.50 ![W,X,V]: ((![Z,Y]: ((![U]: (sum(U,Z,W)|~sum(X,Y,U)))|~sum(Y,Z,V)))|~sum(X,V,W))),
% 0.17/0.50 inference(miniscoping,[status(thm)],[f2])).
% 0.17/0.50 fof(f39,plain,(
% 0.17/0.50 ![X0,X1,X2,X3,X4,X5]: (sum(X0,X1,X2)|~sum(X3,X4,X0)|~sum(X4,X1,X5)|~sum(X3,X5,X2))),
% 0.17/0.50 inference(cnf_transformation,[status(thm)],[f38])).
% 0.17/0.50 fof(f40,plain,(
% 0.17/0.50 ![X0]: (sum(additive_identity,X0,X0)|~defined(X0))),
% 0.17/0.50 inference(cnf_transformation,[status(thm)],[f3])).
% 0.17/0.50 fof(f42,plain,(
% 0.17/0.50 ![X0,X1,X2]: (sum(X0,X1,X2)|~sum(X1,X0,X2))),
% 0.17/0.50 inference(cnf_transformation,[status(thm)],[f5])).
% 0.17/0.50 fof(f78,plain,(
% 0.17/0.50 defined(d)),
% 0.17/0.50 inference(cnf_transformation,[status(thm)],[f30])).
% 0.17/0.50 fof(f79,plain,(
% 0.17/0.50 defined(u)),
% 0.17/0.50 inference(cnf_transformation,[status(thm)],[f31])).
% 0.17/0.50 fof(f80,plain,(
% 0.17/0.50 sum(additive_identity,a,b)),
% 0.17/0.50 inference(cnf_transformation,[status(thm)],[f32])).
% 0.17/0.50 fof(f81,plain,(
% 0.17/0.50 sum(additive_identity,c,d)),
% 0.17/0.50 inference(cnf_transformation,[status(thm)],[f33])).
% 0.17/0.50 fof(f82,plain,(
% 0.17/0.50 sum(a,c,u)),
% 0.17/0.50 inference(cnf_transformation,[status(thm)],[f34])).
% 0.17/0.50 fof(f83,plain,(
% 0.17/0.50 ~sum(d,b,u)),
% 0.17/0.50 inference(cnf_transformation,[status(thm)],[f35])).
% 0.17/0.50 fof(f89,plain,(
% 0.17/0.50 ![X0,X1,X2]: (sum(X0,b,X1)|~sum(X0,additive_identity,X2)|~sum(X2,a,X1))),
% 0.17/0.50 inference(resolution,[status(thm)],[f37,f80])).
% 0.17/0.50 fof(f110,plain,(
% 0.17/0.50 sum(additive_identity,u,u)),
% 0.17/0.50 inference(resolution,[status(thm)],[f40,f79])).
% 0.17/0.50 fof(f111,plain,(
% 0.17/0.50 sum(additive_identity,d,d)),
% 0.17/0.50 inference(resolution,[status(thm)],[f40,f78])).
% 0.17/0.50 fof(f126,plain,(
% 0.17/0.50 sum(c,a,u)),
% 0.17/0.50 inference(resolution,[status(thm)],[f42,f82])).
% 0.17/0.50 fof(f127,plain,(
% 0.17/0.50 sum(c,additive_identity,d)),
% 0.17/0.50 inference(resolution,[status(thm)],[f42,f81])).
% 0.17/0.50 fof(f662,plain,(
% 0.17/0.50 ![X0,X1,X2]: (sum(X0,a,X1)|~sum(X2,c,X0)|~sum(X2,u,X1))),
% 0.17/0.50 inference(resolution,[status(thm)],[f126,f39])).
% 0.17/0.50 fof(f669,plain,(
% 0.17/0.50 ![X0,X1,X2]: (sum(X0,additive_identity,X1)|~sum(X2,c,X0)|~sum(X2,d,X1))),
% 0.17/0.50 inference(resolution,[status(thm)],[f127,f39])).
% 0.17/0.50 fof(f1079,plain,(
% 0.17/0.50 ![X0]: (sum(X0,a,u)|~sum(additive_identity,c,X0))),
% 0.17/0.50 inference(resolution,[status(thm)],[f110,f662])).
% 0.17/0.50 fof(f1092,plain,(
% 0.17/0.50 ![X0]: (sum(X0,additive_identity,d)|~sum(additive_identity,c,X0))),
% 0.17/0.50 inference(resolution,[status(thm)],[f111,f669])).
% 0.17/0.50 fof(f1420,plain,(
% 0.17/0.50 sum(d,a,u)),
% 0.17/0.50 inference(resolution,[status(thm)],[f1079,f81])).
% 0.17/0.50 fof(f1422,plain,(
% 0.17/0.50 sum(d,additive_identity,d)),
% 0.17/0.50 inference(resolution,[status(thm)],[f1092,f81])).
% 0.17/0.50 fof(f1452,plain,(
% 0.17/0.50 ![X0]: (sum(d,b,X0)|~sum(d,a,X0))),
% 0.17/0.50 inference(resolution,[status(thm)],[f1422,f89])).
% 0.17/0.51 fof(f1500,plain,(
% 0.17/0.51 sum(d,b,u)),
% 0.17/0.51 inference(resolution,[status(thm)],[f1452,f1420])).
% 0.17/0.51 fof(f1501,plain,(
% 0.17/0.51 $false),
% 0.17/0.51 inference(forward_subsumption_resolution,[status(thm)],[f1500,f83])).
% 0.17/0.51 % SZS output end CNFRefutation for theBenchmark.p
% 0.17/0.56 % Elapsed time: 0.106964 seconds
% 0.17/0.56 % CPU time: 0.224661 seconds
% 0.17/0.56 % Total memory used: 10.312 MB
% 0.17/0.56 % Net memory used: 10.230 MB
%------------------------------------------------------------------------------