%------------------------------------------------------------------------------
% File : Drodi-SAT---4.1.1
% Problem : FLD068-4 : 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 : n017.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 12:22:30 PM UTC 2026
% Result : Unsatisfiable 0.13s 0.54s
% Output : Assurance 0s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : FLD068-4 : TPTP v9.3.1. Bugfixed v2.1.0.
% 0.00/0.04 % Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.09/0.36 % Computer : n017.cluster.edu
% 0.09/0.36 % Model : x86_64 x86_64
% 0.09/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.36 % Memory : 8046.5625MB
% 0.09/0.36 % 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 15:39:57 UTC 2026
% 0.09/0.36 % CPUTime :
% 0.09/0.37 % Drodi V4.1.1
% 0.13/0.54 % Refutation found
% 0.13/0.54 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.13/0.54 % SZS output start CNFRefutation for theBenchmark
% 0.13/0.54 fof(f2,axiom,(
% 0.13/0.54 (![U,Z,W,X,Y,V]: (( sum(U,Z,W)| ~ sum(X,Y,U)| ~ sum(Y,Z,V)| ~ sum(X,V,W) ) ))),
% 0.13/0.54 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.13/0.54 fof(f3,axiom,(
% 0.13/0.54 (![X]: (( sum(additive_identity,X,X)| ~ defined(X) ) ))),
% 0.13/0.54 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.13/0.54 fof(f4,axiom,(
% 0.13/0.54 (![X]: (( sum(additive_inverse(X),X,additive_identity)| ~ defined(X) ) ))),
% 0.13/0.54 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.13/0.54 fof(f5,axiom,(
% 0.13/0.54 (![Y,X,Z]: (( sum(Y,X,Z)| ~ sum(X,Y,Z) ) ))),
% 0.13/0.54 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.13/0.54 fof(f24,axiom,(
% 0.13/0.54 (![U,V,X,Y,Z]: (( less_or_equal(U,V)| ~ less_or_equal(X,Y)| ~ sum(X,Z,U)| ~ sum(Y,Z,V) ) ))),
% 0.13/0.54 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.13/0.54 fof(f27,hypothesis,(
% 0.13/0.54 defined(a) ),
% 0.13/0.54 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.13/0.54 fof(f28,hypothesis,(
% 0.13/0.54 defined(b) ),
% 0.13/0.54 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.13/0.54 fof(f30,negated_conjecture,(
% 0.13/0.54 sum(b,additive_inverse(a),u) ),
% 0.13/0.54 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.13/0.54 fof(f31,negated_conjecture,(
% 0.13/0.54 less_or_equal(additive_identity,u) ),
% 0.13/0.54 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.13/0.54 fof(f32,negated_conjecture,(
% 0.13/0.54 ~ less_or_equal(a,b) ),
% 0.13/0.54 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.13/0.54 fof(f35,plain,(
% 0.13/0.54 ![W,X,V]: ((![Z,Y]: ((![U]: (sum(U,Z,W)|~sum(X,Y,U)))|~sum(Y,Z,V)))|~sum(X,V,W))),
% 0.13/0.54 inference(miniscoping,[status(thm)],[f2])).
% 0.13/0.54 fof(f36,plain,(
% 0.13/0.54 ![X0,X1,X2,X3,X4,X5]: (sum(X0,X1,X2)|~sum(X3,X4,X0)|~sum(X4,X1,X5)|~sum(X3,X5,X2))),
% 0.13/0.54 inference(cnf_transformation,[status(thm)],[f35])).
% 0.13/0.54 fof(f37,plain,(
% 0.13/0.54 ![X0]: (sum(additive_identity,X0,X0)|~defined(X0))),
% 0.13/0.54 inference(cnf_transformation,[status(thm)],[f3])).
% 0.13/0.54 fof(f38,plain,(
% 0.13/0.54 ![X0]: (sum(additive_inverse(X0),X0,additive_identity)|~defined(X0))),
% 0.13/0.54 inference(cnf_transformation,[status(thm)],[f4])).
% 0.13/0.54 fof(f39,plain,(
% 0.13/0.54 ![X0,X1,X2]: (sum(X0,X1,X2)|~sum(X1,X0,X2))),
% 0.13/0.54 inference(cnf_transformation,[status(thm)],[f5])).
% 0.13/0.54 fof(f68,plain,(
% 0.13/0.54 ![V,Y,Z]: ((![U,X]: ((less_or_equal(U,V)|~less_or_equal(X,Y))|~sum(X,Z,U)))|~sum(Y,Z,V))),
% 0.13/0.54 inference(miniscoping,[status(thm)],[f24])).
% 0.13/0.54 fof(f69,plain,(
% 0.13/0.54 ![X0,X1,X2,X3,X4]: (less_or_equal(X0,X1)|~less_or_equal(X2,X3)|~sum(X2,X4,X0)|~sum(X3,X4,X1))),
% 0.13/0.54 inference(cnf_transformation,[status(thm)],[f68])).
% 0.13/0.54 fof(f72,plain,(
% 0.13/0.54 defined(a)),
% 0.13/0.54 inference(cnf_transformation,[status(thm)],[f27])).
% 0.13/0.54 fof(f73,plain,(
% 0.13/0.54 defined(b)),
% 0.13/0.54 inference(cnf_transformation,[status(thm)],[f28])).
% 0.13/0.54 fof(f75,plain,(
% 0.13/0.54 sum(b,additive_inverse(a),u)),
% 0.13/0.54 inference(cnf_transformation,[status(thm)],[f30])).
% 0.13/0.54 fof(f76,plain,(
% 0.13/0.54 less_or_equal(additive_identity,u)),
% 0.13/0.54 inference(cnf_transformation,[status(thm)],[f31])).
% 0.13/0.54 fof(f77,plain,(
% 0.13/0.54 ~less_or_equal(a,b)),
% 0.13/0.54 inference(cnf_transformation,[status(thm)],[f32])).
% 0.13/0.54 fof(f79,plain,(
% 0.13/0.54 ![X0,X1,X2]: (sum(u,X0,X1)|~sum(additive_inverse(a),X0,X2)|~sum(b,X2,X1))),
% 0.13/0.54 inference(resolution,[status(thm)],[f36,f75])).
% 0.13/0.54 fof(f80,plain,(
% 0.13/0.54 sum(additive_identity,a,a)),
% 0.13/0.54 inference(resolution,[status(thm)],[f37,f72])).
% 0.13/0.54 fof(f82,plain,(
% 0.13/0.54 sum(additive_inverse(a),a,additive_identity)),
% 0.13/0.54 inference(resolution,[status(thm)],[f38,f72])).
% 0.13/0.54 fof(f87,plain,(
% 0.13/0.54 sum(additive_identity,b,b)),
% 0.13/0.54 inference(resolution,[status(thm)],[f73,f37])).
% 0.13/0.54 fof(f407,plain,(
% 0.13/0.54 ![X0,X1,X2]: (less_or_equal(X0,X1)|~sum(additive_identity,X2,X0)|~sum(u,X2,X1))),
% 0.13/0.54 inference(resolution,[status(thm)],[f69,f76])).
% 0.13/0.54 fof(f441,plain,(
% 0.13/0.54 ![X0]: (less_or_equal(a,X0)|~sum(u,a,X0))),
% 0.13/0.54 inference(resolution,[status(thm)],[f80,f407])).
% 0.13/0.54 fof(f466,plain,(
% 0.13/0.54 ![X0]: (sum(u,a,X0)|~sum(b,additive_identity,X0))),
% 0.13/0.54 inference(resolution,[status(thm)],[f82,f79])).
% 0.13/0.54 fof(f743,plain,(
% 0.13/0.54 sum(b,additive_identity,b)),
% 0.13/0.54 inference(resolution,[status(thm)],[f87,f39])).
% 0.13/0.54 fof(f2836,plain,(
% 0.13/0.54 sum(u,a,b)),
% 0.13/0.54 inference(resolution,[status(thm)],[f743,f466])).
% 0.13/0.54 fof(f2848,plain,(
% 0.13/0.54 less_or_equal(a,b)),
% 0.13/0.54 inference(resolution,[status(thm)],[f2836,f441])).
% 0.13/0.54 fof(f2854,plain,(
% 0.13/0.54 $false),
% 1.05/0.55 inference(forward_subsumption_resolution,[status(thm)],[f2848,f77])).
% 1.05/0.55 % SZS output end CNFRefutation for theBenchmark.p
% 1.05/0.56 % Elapsed time: 0.188481 seconds
% 1.05/0.56 % CPU time: 1.256182 seconds
% 1.05/0.56 % Total memory used: 35.024 MB
% 1.05/0.56 % Net memory used: 33.525 MB
%------------------------------------------------------------------------------