%------------------------------------------------------------------------------
% File : Drodi-SAT---4.1.1
% Problem : FLD016-3 : 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 : n007.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 0.13s 0.43s
% Output : Assurance 0s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : FLD016-3 : TPTP v9.3.1. Bugfixed v2.1.0.
% 0.00/0.04 % Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.09/0.35 % Computer : n007.cluster.edu
% 0.09/0.35 % Model : x86_64 x86_64
% 0.09/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.35 % Memory : 8046.5625MB
% 0.09/0.35 % 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 15:35:05 UTC 2026
% 0.09/0.36 % CPUTime :
% 0.13/0.36 % Drodi V4.1.1
% 0.13/0.43 % Refutation found
% 0.13/0.43 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.13/0.43 % SZS output start CNFRefutation for theBenchmark
% 0.13/0.43 fof(f1,axiom,(
% 0.13/0.43 (![X,V,W,Y,U,Z]: (( sum(X,V,W)| ~ sum(X,Y,U)| ~ sum(Y,Z,V)| ~ sum(U,Z,W) ) ))),
% 0.13/0.43 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.13/0.43 fof(f2,axiom,(
% 0.13/0.43 (![U,Z,W,X,Y,V]: (( sum(U,Z,W)| ~ sum(X,Y,U)| ~ sum(Y,Z,V)| ~ sum(X,V,W) ) ))),
% 0.13/0.43 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.13/0.43 fof(f3,axiom,(
% 0.13/0.43 (![X]: (( sum(additive_identity,X,X)| ~ defined(X) ) ))),
% 0.13/0.43 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.13/0.43 fof(f4,axiom,(
% 0.13/0.43 (![X]: (( sum(additive_inverse(X),X,additive_identity)| ~ defined(X) ) ))),
% 0.13/0.43 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.13/0.43 fof(f5,axiom,(
% 0.13/0.43 (![Y,X,Z]: (( sum(Y,X,Z)| ~ sum(X,Y,Z) ) ))),
% 0.13/0.43 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.13/0.43 fof(f27,hypothesis,(
% 0.13/0.43 defined(a) ),
% 0.13/0.43 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.13/0.43 fof(f29,hypothesis,(
% 0.13/0.43 defined(u) ),
% 0.13/0.43 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.13/0.43 fof(f30,hypothesis,(
% 0.13/0.43 defined(v) ),
% 0.13/0.43 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.13/0.43 fof(f31,negated_conjecture,(
% 0.13/0.43 sum(a,u,b) ),
% 0.13/0.43 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.13/0.43 fof(f32,negated_conjecture,(
% 0.13/0.43 sum(a,v,b) ),
% 0.13/0.43 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.13/0.43 fof(f33,negated_conjecture,(
% 0.13/0.43 ~ sum(additive_identity,u,v) ),
% 0.13/0.43 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.13/0.43 fof(f34,plain,(
% 0.13/0.43 ![W,U,Z]: ((![V,Y]: ((![X]: (sum(X,V,W)|~sum(X,Y,U)))|~sum(Y,Z,V)))|~sum(U,Z,W))),
% 0.13/0.43 inference(miniscoping,[status(thm)],[f1])).
% 0.13/0.43 fof(f35,plain,(
% 0.13/0.43 ![X0,X1,X2,X3,X4,X5]: (sum(X0,X1,X2)|~sum(X0,X3,X4)|~sum(X3,X5,X1)|~sum(X4,X5,X2))),
% 0.13/0.43 inference(cnf_transformation,[status(thm)],[f34])).
% 0.13/0.43 fof(f36,plain,(
% 0.13/0.43 ![W,X,V]: ((![Z,Y]: ((![U]: (sum(U,Z,W)|~sum(X,Y,U)))|~sum(Y,Z,V)))|~sum(X,V,W))),
% 0.13/0.43 inference(miniscoping,[status(thm)],[f2])).
% 0.13/0.43 fof(f37,plain,(
% 0.13/0.43 ![X0,X1,X2,X3,X4,X5]: (sum(X0,X1,X2)|~sum(X3,X4,X0)|~sum(X4,X1,X5)|~sum(X3,X5,X2))),
% 0.13/0.43 inference(cnf_transformation,[status(thm)],[f36])).
% 0.13/0.43 fof(f38,plain,(
% 0.13/0.43 ![X0]: (sum(additive_identity,X0,X0)|~defined(X0))),
% 0.13/0.43 inference(cnf_transformation,[status(thm)],[f3])).
% 0.13/0.43 fof(f39,plain,(
% 0.13/0.43 ![X0]: (sum(additive_inverse(X0),X0,additive_identity)|~defined(X0))),
% 0.13/0.43 inference(cnf_transformation,[status(thm)],[f4])).
% 0.13/0.43 fof(f40,plain,(
% 0.13/0.43 ![X0,X1,X2]: (sum(X0,X1,X2)|~sum(X1,X0,X2))),
% 0.13/0.43 inference(cnf_transformation,[status(thm)],[f5])).
% 0.13/0.43 fof(f73,plain,(
% 0.13/0.43 defined(a)),
% 0.13/0.43 inference(cnf_transformation,[status(thm)],[f27])).
% 0.13/0.43 fof(f75,plain,(
% 0.13/0.43 defined(u)),
% 0.13/0.43 inference(cnf_transformation,[status(thm)],[f29])).
% 0.13/0.43 fof(f76,plain,(
% 0.13/0.43 defined(v)),
% 0.13/0.43 inference(cnf_transformation,[status(thm)],[f30])).
% 0.13/0.43 fof(f77,plain,(
% 0.13/0.43 sum(a,u,b)),
% 0.13/0.43 inference(cnf_transformation,[status(thm)],[f31])).
% 0.13/0.43 fof(f78,plain,(
% 0.13/0.43 sum(a,v,b)),
% 0.13/0.43 inference(cnf_transformation,[status(thm)],[f32])).
% 0.13/0.43 fof(f79,plain,(
% 0.13/0.43 ~sum(additive_identity,u,v)),
% 0.13/0.43 inference(cnf_transformation,[status(thm)],[f33])).
% 0.13/0.43 fof(f81,plain,(
% 0.13/0.43 ![X0,X1,X2]: (sum(X0,b,X1)|~sum(X0,a,X2)|~sum(X2,v,X1))),
% 0.13/0.43 inference(resolution,[status(thm)],[f35,f78])).
% 0.13/0.43 fof(f83,plain,(
% 0.13/0.43 ![X0,X1,X2]: (sum(X0,b,X1)|~sum(X0,a,X2)|~sum(X2,u,X1))),
% 0.13/0.43 inference(resolution,[status(thm)],[f35,f77])).
% 0.13/0.43 fof(f102,plain,(
% 0.13/0.43 sum(additive_identity,v,v)),
% 0.13/0.43 inference(resolution,[status(thm)],[f38,f76])).
% 0.13/0.43 fof(f104,plain,(
% 0.13/0.43 sum(additive_identity,u,u)),
% 0.13/0.43 inference(resolution,[status(thm)],[f38,f75])).
% 0.13/0.43 fof(f115,plain,(
% 0.13/0.43 sum(additive_inverse(a),a,additive_identity)),
% 0.13/0.43 inference(resolution,[status(thm)],[f39,f73])).
% 0.13/0.43 fof(f117,plain,(
% 0.13/0.43 sum(v,a,b)),
% 0.13/0.43 inference(resolution,[status(thm)],[f40,f78])).
% 0.13/0.43 fof(f653,plain,(
% 0.13/0.43 ![X0]: (sum(X0,b,b)|~sum(X0,v,v))),
% 0.13/0.43 inference(resolution,[status(thm)],[f117,f35])).
% 0.13/0.43 fof(f1048,plain,(
% 0.13/0.43 sum(additive_identity,b,b)),
% 0.13/0.43 inference(resolution,[status(thm)],[f102,f653])).
% 0.13/0.43 fof(f1052,plain,(
% 0.13/0.43 ![X0]: (sum(X0,b,v)|~sum(X0,a,additive_identity))),
% 0.13/0.43 inference(resolution,[status(thm)],[f102,f81])).
% 0.13/0.43 fof(f1064,plain,(
% 0.13/0.43 sum(b,additive_identity,b)),
% 0.13/0.43 inference(resolution,[status(thm)],[f1048,f40])).
% 0.13/0.43 fof(f1077,plain,(
% 0.13/0.43 ![X0,X1,X2]: (sum(X0,additive_identity,X1)|~sum(X2,b,X0)|~sum(X2,b,X1))),
% 0.13/0.43 inference(resolution,[status(thm)],[f1064,f37])).
% 0.13/0.43 fof(f1100,plain,(
% 0.13/0.43 ![X0]: (sum(X0,b,u)|~sum(X0,a,additive_identity))),
% 0.13/0.43 inference(resolution,[status(thm)],[f104,f83])).
% 0.13/0.43 fof(f1586,plain,(
% 0.13/0.43 sum(additive_inverse(a),b,u)),
% 0.13/0.43 inference(resolution,[status(thm)],[f115,f1100])).
% 0.13/0.43 fof(f1587,plain,(
% 0.13/0.43 sum(additive_inverse(a),b,v)),
% 0.13/0.43 inference(resolution,[status(thm)],[f115,f1052])).
% 0.13/0.43 fof(f1816,plain,(
% 0.13/0.43 ![X0]: (sum(X0,additive_identity,v)|~sum(additive_inverse(a),b,X0))),
% 0.13/0.43 inference(resolution,[status(thm)],[f1587,f1077])).
% 0.13/0.43 fof(f2028,plain,(
% 0.13/0.43 sum(u,additive_identity,v)),
% 0.13/0.43 inference(resolution,[status(thm)],[f1816,f1586])).
% 0.13/0.43 fof(f2066,plain,(
% 0.13/0.43 sum(additive_identity,u,v)),
% 0.13/0.43 inference(resolution,[status(thm)],[f2028,f40])).
% 0.13/0.43 fof(f2073,plain,(
% 0.13/0.43 $false),
% 0.13/0.43 inference(forward_subsumption_resolution,[status(thm)],[f2066,f79])).
% 0.13/0.43 % SZS output end CNFRefutation for theBenchmark.p
% 0.13/0.45 % Elapsed time: 0.090416 seconds
% 0.13/0.45 % CPU time: 0.518970 seconds
% 0.13/0.45 % Total memory used: 22.685 MB
% 0.13/0.45 % Net memory used: 22.317 MB
%------------------------------------------------------------------------------