%------------------------------------------------------------------------------
% File : Drodi-SAT---4.1.1
% Problem : FLD070-3 : 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 : n012.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 0.12s 0.48s
% Output : Assurance 0s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : FLD070-3 : TPTP v9.3.1. Bugfixed v2.1.0.
% 0.00/0.03 % Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.09/0.35 % Computer : n012.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
% 0.09/0.35 % CPULimit : 300
% 0.09/0.35 % WCLimit : 300
% 0.09/0.35 % DateTime : Mon Sep 21 15:44:21 UTC 2026
% 0.09/0.35 % CPUTime :
% 0.09/0.36 % Drodi V4.1.1
% 0.12/0.48 % Refutation found
% 0.12/0.48 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.12/0.48 % SZS output start CNFRefutation for theBenchmark
% 0.12/0.48 fof(f3,axiom,(
% 0.12/0.48 (![X]: (( sum(additive_identity,X,X)| ~ defined(X) ) ))),
% 0.12/0.48 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.12/0.48 fof(f19,axiom,(
% 0.12/0.48 (![X,Y]: (( sum(X,Y,add(X,Y))| ~ defined(X)| ~ defined(Y) ) ))),
% 0.12/0.48 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.12/0.48 fof(f22,axiom,(
% 0.12/0.48 (![X,Z,Y]: (( less_or_equal(X,Z)| ~ less_or_equal(X,Y)| ~ less_or_equal(Y,Z) ) ))),
% 0.12/0.48 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.12/0.48 fof(f24,axiom,(
% 0.12/0.48 (![U,V,X,Y,Z]: (( less_or_equal(U,V)| ~ less_or_equal(X,Y)| ~ sum(X,Z,U)| ~ sum(Y,Z,V) ) ))),
% 0.12/0.48 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.12/0.48 fof(f27,hypothesis,(
% 0.12/0.48 defined(a) ),
% 0.12/0.48 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.12/0.48 fof(f28,hypothesis,(
% 0.12/0.48 defined(b) ),
% 0.12/0.48 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.12/0.48 fof(f29,negated_conjecture,(
% 0.12/0.48 less_or_equal(additive_identity,a) ),
% 0.12/0.48 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.12/0.48 fof(f30,negated_conjecture,(
% 0.12/0.48 less_or_equal(additive_identity,b) ),
% 0.12/0.48 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.12/0.48 fof(f31,negated_conjecture,(
% 0.12/0.48 ~ less_or_equal(additive_identity,add(a,b)) ),
% 0.12/0.48 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.12/0.48 fof(f36,plain,(
% 0.12/0.48 ![X0]: (sum(additive_identity,X0,X0)|~defined(X0))),
% 0.12/0.48 inference(cnf_transformation,[status(thm)],[f3])).
% 0.12/0.48 fof(f58,plain,(
% 0.12/0.48 ![Y]: ((![X]: (sum(X,Y,add(X,Y))|~defined(X)))|~defined(Y))),
% 0.12/0.48 inference(miniscoping,[status(thm)],[f19])).
% 0.12/0.48 fof(f59,plain,(
% 0.12/0.48 ![X0,X1]: (sum(X0,X1,add(X0,X1))|~defined(X0)|~defined(X1))),
% 0.12/0.48 inference(cnf_transformation,[status(thm)],[f58])).
% 0.12/0.48 fof(f63,plain,(
% 0.12/0.48 ![Z,Y]: ((![X]: (less_or_equal(X,Z)|~less_or_equal(X,Y)))|~less_or_equal(Y,Z))),
% 0.12/0.48 inference(miniscoping,[status(thm)],[f22])).
% 0.12/0.48 fof(f64,plain,(
% 0.12/0.48 ![X0,X1,X2]: (less_or_equal(X0,X1)|~less_or_equal(X0,X2)|~less_or_equal(X2,X1))),
% 0.12/0.48 inference(cnf_transformation,[status(thm)],[f63])).
% 0.12/0.48 fof(f67,plain,(
% 0.12/0.48 ![V,Y,Z]: ((![U,X]: ((less_or_equal(U,V)|~less_or_equal(X,Y))|~sum(X,Z,U)))|~sum(Y,Z,V))),
% 0.12/0.48 inference(miniscoping,[status(thm)],[f24])).
% 0.12/0.48 fof(f68,plain,(
% 0.12/0.48 ![X0,X1,X2,X3,X4]: (less_or_equal(X0,X1)|~less_or_equal(X2,X3)|~sum(X2,X4,X0)|~sum(X3,X4,X1))),
% 0.12/0.48 inference(cnf_transformation,[status(thm)],[f67])).
% 0.12/0.48 fof(f71,plain,(
% 0.12/0.48 defined(a)),
% 0.12/0.48 inference(cnf_transformation,[status(thm)],[f27])).
% 0.12/0.48 fof(f72,plain,(
% 0.12/0.48 defined(b)),
% 0.12/0.48 inference(cnf_transformation,[status(thm)],[f28])).
% 0.12/0.48 fof(f73,plain,(
% 0.12/0.48 less_or_equal(additive_identity,a)),
% 0.12/0.48 inference(cnf_transformation,[status(thm)],[f29])).
% 0.12/0.48 fof(f74,plain,(
% 0.12/0.48 less_or_equal(additive_identity,b)),
% 0.12/0.48 inference(cnf_transformation,[status(thm)],[f30])).
% 0.12/0.48 fof(f75,plain,(
% 0.12/0.48 ~less_or_equal(additive_identity,add(a,b))),
% 0.12/0.48 inference(cnf_transformation,[status(thm)],[f31])).
% 0.12/0.48 fof(f79,plain,(
% 0.12/0.48 ![X0]: (~less_or_equal(additive_identity,X0)|~less_or_equal(X0,add(a,b)))),
% 0.12/0.48 inference(resolution,[status(thm)],[f64,f75])).
% 0.12/0.48 fof(f98,plain,(
% 0.12/0.48 ![X0,X1,X2]: (less_or_equal(X0,X1)|~sum(additive_identity,X2,X0)|~sum(a,X2,X1))),
% 0.12/0.48 inference(resolution,[status(thm)],[f68,f73])).
% 0.12/0.48 fof(f125,plain,(
% 0.12/0.48 ![X0,X1]: (less_or_equal(X0,add(a,X1))|~sum(additive_identity,X1,X0)|~defined(a)|~defined(X1))),
% 0.12/0.48 inference(resolution,[status(thm)],[f98,f59])).
% 0.12/0.48 fof(f129,plain,(
% 0.12/0.48 ![X0,X1]: (less_or_equal(X0,add(a,X1))|~sum(additive_identity,X1,X0)|~defined(X1))),
% 0.12/0.48 inference(forward_subsumption_resolution,[status(thm)],[f125,f71])).
% 0.12/0.48 fof(f368,plain,(
% 0.12/0.48 ![X0]: (~sum(additive_identity,b,X0)|~defined(b)|~less_or_equal(additive_identity,X0))),
% 0.12/0.48 inference(resolution,[status(thm)],[f129,f79])).
% 0.12/0.48 fof(f372,plain,(
% 0.12/0.48 ![X0]: (~sum(additive_identity,b,X0)|~less_or_equal(additive_identity,X0))),
% 0.12/0.48 inference(forward_subsumption_resolution,[status(thm)],[f368,f72])).
% 0.12/0.48 fof(f421,plain,(
% 0.12/0.48 ~less_or_equal(additive_identity,b)|~defined(b)),
% 0.12/0.48 inference(resolution,[status(thm)],[f372,f36])).
% 0.12/0.48 fof(f427,plain,(
% 0.12/0.48 ~defined(b)),
% 0.12/0.48 inference(forward_subsumption_resolution,[status(thm)],[f421,f74])).
% 0.12/0.48 fof(f429,plain,(
% 0.12/0.48 $false),
% 0.12/0.48 inference(forward_subsumption_resolution,[status(thm)],[f427,f72])).
% 0.12/0.48 % SZS output end CNFRefutation for theBenchmark.p
% 0.12/0.50 % Elapsed time: 0.142263 seconds
% 0.12/0.50 % CPU time: 0.824914 seconds
% 0.12/0.50 % Total memory used: 33.128 MB
% 0.12/0.50 % Net memory used: 32.047 MB
%------------------------------------------------------------------------------