%------------------------------------------------------------------------------
% File : Drodi-SAT---4.1.1
% Problem : FLD059-4 : TPTP v9.3.1. Bugfixed v2.1.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% Computer : n013.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 12:22:27 PM UTC 2026
% Result : Unsatisfiable 0.12s 0.38s
% Output : Assurance 0s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : FLD059-4 : TPTP v9.3.1. Bugfixed v2.1.0.
% 0.00/0.03 % Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.08/0.35 % Computer : n013.cluster.edu
% 0.08/0.35 % Model : x86_64 x86_64
% 0.08/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.35 % Memory : 8046.5625MB
% 0.08/0.35 % OS : Linux 6.8.0-71-generic
% 0.08/0.35 % CPULimit : 300
% 0.08/0.35 % WCLimit : 300
% 0.08/0.35 % DateTime : Mon Sep 21 15:43:06 UTC 2026
% 0.08/0.35 % CPUTime :
% 0.12/0.36 % Drodi V4.1.1
% 0.12/0.38 % Refutation found
% 0.12/0.38 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.12/0.38 % SZS output start CNFRefutation for theBenchmark
% 0.12/0.38 fof(f3,axiom,(
% 0.12/0.38 (![X]: (( sum(additive_identity,X,X)| ~ defined(X) ) ))),
% 0.12/0.38 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.12/0.38 fof(f22,axiom,(
% 0.12/0.38 (![X,Z,Y]: (( less_or_equal(X,Z)| ~ less_or_equal(X,Y)| ~ less_or_equal(Y,Z) ) ))),
% 0.12/0.38 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.12/0.38 fof(f24,axiom,(
% 0.12/0.38 (![U,V,X,Y,Z]: (( less_or_equal(U,V)| ~ less_or_equal(X,Y)| ~ sum(X,Z,U)| ~ sum(Y,Z,V) ) ))),
% 0.12/0.38 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.12/0.38 fof(f27,hypothesis,(
% 0.12/0.38 defined(a) ),
% 0.12/0.38 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.12/0.38 fof(f29,negated_conjecture,(
% 0.12/0.38 less_or_equal(additive_identity,a) ),
% 0.12/0.38 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.12/0.38 fof(f30,negated_conjecture,(
% 0.12/0.38 sum(a,a,u) ),
% 0.12/0.38 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.12/0.38 fof(f31,negated_conjecture,(
% 0.12/0.38 ~ less_or_equal(additive_identity,u) ),
% 0.12/0.38 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.12/0.38 fof(f36,plain,(
% 0.12/0.38 ![X0]: (sum(additive_identity,X0,X0)|~defined(X0))),
% 0.12/0.38 inference(cnf_transformation,[status(thm)],[f3])).
% 0.12/0.38 fof(f63,plain,(
% 0.12/0.38 ![Z,Y]: ((![X]: (less_or_equal(X,Z)|~less_or_equal(X,Y)))|~less_or_equal(Y,Z))),
% 0.12/0.38 inference(miniscoping,[status(thm)],[f22])).
% 0.12/0.38 fof(f64,plain,(
% 0.12/0.38 ![X0,X1,X2]: (less_or_equal(X0,X1)|~less_or_equal(X0,X2)|~less_or_equal(X2,X1))),
% 0.12/0.38 inference(cnf_transformation,[status(thm)],[f63])).
% 0.12/0.38 fof(f67,plain,(
% 0.12/0.38 ![V,Y,Z]: ((![U,X]: ((less_or_equal(U,V)|~less_or_equal(X,Y))|~sum(X,Z,U)))|~sum(Y,Z,V))),
% 0.12/0.38 inference(miniscoping,[status(thm)],[f24])).
% 0.12/0.38 fof(f68,plain,(
% 0.12/0.38 ![X0,X1,X2,X3,X4]: (less_or_equal(X0,X1)|~less_or_equal(X2,X3)|~sum(X2,X4,X0)|~sum(X3,X4,X1))),
% 0.12/0.38 inference(cnf_transformation,[status(thm)],[f67])).
% 0.12/0.38 fof(f71,plain,(
% 0.12/0.38 defined(a)),
% 0.12/0.38 inference(cnf_transformation,[status(thm)],[f27])).
% 0.12/0.38 fof(f73,plain,(
% 0.12/0.38 less_or_equal(additive_identity,a)),
% 0.12/0.38 inference(cnf_transformation,[status(thm)],[f29])).
% 0.12/0.38 fof(f74,plain,(
% 0.12/0.38 sum(a,a,u)),
% 0.12/0.38 inference(cnf_transformation,[status(thm)],[f30])).
% 0.12/0.38 fof(f75,plain,(
% 0.12/0.38 ~less_or_equal(additive_identity,u)),
% 0.12/0.38 inference(cnf_transformation,[status(thm)],[f31])).
% 0.12/0.38 fof(f78,plain,(
% 0.12/0.38 sum(additive_identity,a,a)),
% 0.12/0.38 inference(resolution,[status(thm)],[f36,f71])).
% 0.12/0.38 fof(f464,plain,(
% 0.12/0.38 ![X0]: (less_or_equal(additive_identity,X0)|~less_or_equal(a,X0))),
% 0.12/0.38 inference(resolution,[status(thm)],[f64,f73])).
% 0.12/0.38 fof(f465,plain,(
% 0.12/0.38 ![X0,X1,X2]: (less_or_equal(X0,X1)|~sum(additive_identity,X2,X0)|~sum(a,X2,X1))),
% 0.12/0.38 inference(resolution,[status(thm)],[f68,f73])).
% 0.12/0.38 fof(f467,plain,(
% 0.12/0.38 ![X0]: (less_or_equal(a,X0)|~sum(a,a,X0))),
% 0.12/0.38 inference(resolution,[status(thm)],[f78,f465])).
% 0.12/0.38 fof(f474,plain,(
% 0.12/0.38 less_or_equal(a,u)),
% 0.12/0.38 inference(resolution,[status(thm)],[f467,f74])).
% 0.12/0.38 fof(f477,plain,(
% 0.12/0.38 less_or_equal(additive_identity,u)),
% 0.12/0.38 inference(resolution,[status(thm)],[f474,f464])).
% 0.12/0.38 fof(f481,plain,(
% 0.12/0.38 $false),
% 0.12/0.38 inference(forward_subsumption_resolution,[status(thm)],[f477,f75])).
% 0.12/0.38 % SZS output end CNFRefutation for theBenchmark.p
% 0.12/0.40 % Elapsed time: 0.037326 seconds
% 0.12/0.40 % CPU time: 0.107693 seconds
% 0.12/0.40 % Total memory used: 12.374 MB
% 0.12/0.40 % Net memory used: 12.230 MB
%------------------------------------------------------------------------------