%------------------------------------------------------------------------------
% File : Drodi-SAT---4.1.1
% Problem : FLD007-3 : 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 : 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 12:22:16 PM UTC 2026
% Result : Unsatisfiable 0.14s 0.52s
% Output : Assurance 0s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : FLD007-3 : TPTP v9.3.1. Bugfixed v2.1.0.
% 0.00/0.04 % Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.10/0.36 % Computer : n020.cluster.edu
% 0.10/0.36 % Model : x86_64 x86_64
% 0.10/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.36 % Memory : 8046.5625MB
% 0.10/0.36 % OS : Linux 6.8.0-71-generic
% 0.10/0.36 % CPULimit : 300
% 0.10/0.36 % WCLimit : 300
% 0.10/0.36 % DateTime : Mon Sep 21 15:38:02 UTC 2026
% 0.10/0.37 % CPUTime :
% 0.10/0.39 % Drodi V4.1.1
% 0.14/0.52 % Refutation found
% 0.14/0.52 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.14/0.52 % SZS output start CNFRefutation for theBenchmark
% 0.14/0.52 fof(f2,axiom,(
% 0.14/0.52 (![U,Z,W,X,Y,V]: (( sum(U,Z,W)| ~ sum(X,Y,U)| ~ sum(Y,Z,V)| ~ sum(X,V,W) ) ))),
% 0.14/0.52 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.14/0.52 fof(f3,axiom,(
% 0.14/0.52 (![X]: (( sum(additive_identity,X,X)| ~ defined(X) ) ))),
% 0.14/0.52 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.14/0.52 fof(f4,axiom,(
% 0.14/0.52 (![X]: (( sum(additive_inverse(X),X,additive_identity)| ~ defined(X) ) ))),
% 0.14/0.52 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.14/0.52 fof(f5,axiom,(
% 0.14/0.52 (![Y,X,Z]: (( sum(Y,X,Z)| ~ sum(X,Y,Z) ) ))),
% 0.14/0.52 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.14/0.52 fof(f15,axiom,(
% 0.14/0.52 (![X]: (( defined(additive_inverse(X))| ~ defined(X) ) ))),
% 0.14/0.52 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.14/0.52 fof(f27,hypothesis,(
% 0.14/0.52 defined(a) ),
% 0.14/0.52 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.14/0.52 fof(f28,negated_conjecture,(
% 0.14/0.52 ~ sum(additive_identity,additive_inverse(additive_inverse(a)),a) ),
% 0.14/0.52 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.14/0.52 fof(f31,plain,(
% 0.14/0.52 ![W,X,V]: ((![Z,Y]: ((![U]: (sum(U,Z,W)|~sum(X,Y,U)))|~sum(Y,Z,V)))|~sum(X,V,W))),
% 0.14/0.52 inference(miniscoping,[status(thm)],[f2])).
% 0.14/0.52 fof(f32,plain,(
% 0.14/0.52 ![X0,X1,X2,X3,X4,X5]: (sum(X0,X1,X2)|~sum(X3,X4,X0)|~sum(X4,X1,X5)|~sum(X3,X5,X2))),
% 0.14/0.52 inference(cnf_transformation,[status(thm)],[f31])).
% 0.14/0.52 fof(f33,plain,(
% 0.14/0.52 ![X0]: (sum(additive_identity,X0,X0)|~defined(X0))),
% 0.14/0.52 inference(cnf_transformation,[status(thm)],[f3])).
% 0.14/0.52 fof(f34,plain,(
% 0.14/0.52 ![X0]: (sum(additive_inverse(X0),X0,additive_identity)|~defined(X0))),
% 0.14/0.52 inference(cnf_transformation,[status(thm)],[f4])).
% 0.14/0.52 fof(f35,plain,(
% 0.14/0.52 ![X0,X1,X2]: (sum(X0,X1,X2)|~sum(X1,X0,X2))),
% 0.14/0.52 inference(cnf_transformation,[status(thm)],[f5])).
% 0.14/0.52 fof(f50,plain,(
% 0.14/0.52 ![X0]: (defined(additive_inverse(X0))|~defined(X0))),
% 0.14/0.52 inference(cnf_transformation,[status(thm)],[f15])).
% 0.14/0.52 fof(f68,plain,(
% 0.14/0.52 defined(a)),
% 0.14/0.52 inference(cnf_transformation,[status(thm)],[f27])).
% 0.14/0.52 fof(f69,plain,(
% 0.14/0.52 ~sum(additive_identity,additive_inverse(additive_inverse(a)),a)),
% 0.14/0.52 inference(cnf_transformation,[status(thm)],[f28])).
% 0.14/0.52 fof(f75,plain,(
% 0.14/0.52 ![X0]: (sum(X0,additive_identity,X0)|~defined(X0))),
% 0.14/0.52 inference(resolution,[status(thm)],[f35,f33])).
% 0.14/0.52 fof(f77,plain,(
% 0.14/0.52 sum(a,additive_identity,a)),
% 0.14/0.52 inference(resolution,[status(thm)],[f75,f68])).
% 0.14/0.52 fof(f94,plain,(
% 0.14/0.52 ![X0]: (~defined(X0)|sum(X0,additive_inverse(X0),additive_identity))),
% 0.14/0.52 inference(resolution,[status(thm)],[f34,f35])).
% 0.14/0.52 fof(f104,plain,(
% 0.14/0.52 ![X0,X1,X2]: (~sum(X0,X1,additive_identity)|~sum(X1,additive_inverse(additive_inverse(a)),X2)|~sum(X0,X2,a))),
% 0.14/0.52 inference(resolution,[status(thm)],[f32,f69])).
% 0.14/0.52 fof(f145,plain,(
% 0.14/0.52 ![X0]: (~sum(a,X0,additive_identity)|~sum(X0,additive_inverse(additive_inverse(a)),additive_identity))),
% 0.14/0.52 inference(resolution,[status(thm)],[f104,f77])).
% 0.14/0.52 fof(f151,plain,(
% 0.14/0.52 ~sum(additive_inverse(a),additive_inverse(additive_inverse(a)),additive_identity)|~defined(a)),
% 0.14/0.52 inference(resolution,[status(thm)],[f145,f94])).
% 0.14/0.52 fof(f154,plain,(
% 0.14/0.52 ~sum(additive_inverse(a),additive_inverse(additive_inverse(a)),additive_identity)),
% 0.14/0.52 inference(forward_subsumption_resolution,[status(thm)],[f151,f68])).
% 0.14/0.52 fof(f155,plain,(
% 0.14/0.52 ~defined(additive_inverse(a))),
% 0.14/0.52 inference(resolution,[status(thm)],[f154,f94])).
% 0.14/0.52 fof(f157,plain,(
% 0.14/0.52 ~defined(a)),
% 0.14/0.52 inference(resolution,[status(thm)],[f155,f50])).
% 0.14/0.52 fof(f158,plain,(
% 0.14/0.52 $false),
% 0.14/0.52 inference(forward_subsumption_resolution,[status(thm)],[f157,f68])).
% 0.14/0.52 % SZS output end CNFRefutation for theBenchmark.p
% 0.14/0.54 % Elapsed time: 0.146969 seconds
% 0.14/0.54 % CPU time: 0.879866 seconds
% 0.14/0.54 % Total memory used: 27.254 MB
% 0.14/0.54 % Net memory used: 26.580 MB
%------------------------------------------------------------------------------