%------------------------------------------------------------------------------
% File : Drodi-SAT---4.1.1
% Problem : FLD070-2 : 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 12:22:30 PM UTC 2026
% Result : Unsatisfiable 2.93s 0.80s
% Output : Assurance 0s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : FLD070-2 : 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 : n007.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 15:42:35 UTC 2026
% 0.10/0.36 % CPUTime :
% 0.10/0.37 % Drodi V4.1.1
% 2.93/0.80 % Refutation found
% 2.93/0.80 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 2.93/0.80 % SZS output start CNFRefutation for theBenchmark
% 2.93/0.80 fof(f2,axiom,(
% 2.93/0.80 (![X]: (( equalish(add(additive_identity,X),X)| ~ defined(X) ) ))),
% 2.93/0.80 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 2.93/0.80 fof(f11,axiom,(
% 2.93/0.80 defined(additive_identity) ),
% 2.93/0.80 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 2.93/0.80 fof(f16,axiom,(
% 2.93/0.80 (![X,Y]: (( equalish(X,Y)| ~ less_or_equal(X,Y)| ~ less_or_equal(Y,X) ) ))),
% 2.93/0.80 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 2.93/0.80 fof(f17,axiom,(
% 2.93/0.80 (![X,Z,Y]: (( less_or_equal(X,Z)| ~ less_or_equal(X,Y)| ~ less_or_equal(Y,Z) ) ))),
% 2.93/0.80 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 2.93/0.80 fof(f18,axiom,(
% 2.93/0.80 (![X,Y]: (( less_or_equal(X,Y)| less_or_equal(Y,X)| ~ defined(X)| ~ defined(Y) ) ))),
% 2.93/0.80 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 2.93/0.80 fof(f19,axiom,(
% 2.93/0.80 (![X,Z,Y]: (( less_or_equal(add(X,Z),add(Y,Z))| ~ defined(Z)| ~ less_or_equal(X,Y) ) ))),
% 2.93/0.80 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 2.93/0.80 fof(f22,axiom,(
% 2.93/0.80 (![X,Y]: (( equalish(X,Y)| ~ equalish(Y,X) ) ))),
% 2.93/0.80 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 2.93/0.80 fof(f26,axiom,(
% 2.93/0.80 (![Y,Z,X]: (( less_or_equal(Y,Z)| ~ less_or_equal(X,Z)| ~ equalish(X,Y) ) ))),
% 2.93/0.80 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 2.93/0.80 fof(f29,hypothesis,(
% 2.93/0.80 defined(b) ),
% 2.93/0.80 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 2.93/0.80 fof(f30,hypothesis,(
% 2.93/0.80 defined(c) ),
% 2.93/0.80 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 2.93/0.80 fof(f31,negated_conjecture,(
% 2.93/0.80 equalish(add(a,b),c) ),
% 2.93/0.80 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 2.93/0.80 fof(f32,negated_conjecture,(
% 2.93/0.80 less_or_equal(additive_identity,a) ),
% 2.93/0.80 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 2.93/0.80 fof(f33,negated_conjecture,(
% 2.93/0.80 less_or_equal(additive_identity,b) ),
% 2.93/0.80 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 2.93/0.80 fof(f34,negated_conjecture,(
% 2.93/0.80 ~ less_or_equal(additive_identity,c) ),
% 2.93/0.80 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 2.93/0.80 fof(f37,plain,(
% 2.93/0.80 ![X0]: (equalish(add(additive_identity,X0),X0)|~defined(X0))),
% 2.93/0.80 inference(cnf_transformation,[status(thm)],[f2])).
% 2.93/0.80 fof(f51,plain,(
% 2.93/0.80 defined(additive_identity)),
% 2.93/0.80 inference(cnf_transformation,[status(thm)],[f11])).
% 2.93/0.80 fof(f57,plain,(
% 2.93/0.80 ![X0,X1]: (equalish(X0,X1)|~less_or_equal(X0,X1)|~less_or_equal(X1,X0))),
% 2.93/0.80 inference(cnf_transformation,[status(thm)],[f16])).
% 2.93/0.80 fof(f58,plain,(
% 2.93/0.80 ![Z,Y]: ((![X]: (less_or_equal(X,Z)|~less_or_equal(X,Y)))|~less_or_equal(Y,Z))),
% 2.93/0.80 inference(miniscoping,[status(thm)],[f17])).
% 2.93/0.80 fof(f59,plain,(
% 2.93/0.80 ![X0,X1,X2]: (less_or_equal(X0,X1)|~less_or_equal(X0,X2)|~less_or_equal(X2,X1))),
% 2.93/0.80 inference(cnf_transformation,[status(thm)],[f58])).
% 2.93/0.80 fof(f60,plain,(
% 2.93/0.80 ![Y]: ((![X]: ((less_or_equal(X,Y)|less_or_equal(Y,X))|~defined(X)))|~defined(Y))),
% 2.93/0.80 inference(miniscoping,[status(thm)],[f18])).
% 2.93/0.80 fof(f61,plain,(
% 2.93/0.80 ![X0,X1]: (less_or_equal(X0,X1)|less_or_equal(X1,X0)|~defined(X0)|~defined(X1))),
% 2.93/0.80 inference(cnf_transformation,[status(thm)],[f60])).
% 2.93/0.80 fof(f62,plain,(
% 2.93/0.80 ![X,Y]: ((![Z]: (less_or_equal(add(X,Z),add(Y,Z))|~defined(Z)))|~less_or_equal(X,Y))),
% 2.93/0.80 inference(miniscoping,[status(thm)],[f19])).
% 2.93/0.80 fof(f63,plain,(
% 2.93/0.80 ![X0,X1,X2]: (less_or_equal(add(X0,X1),add(X2,X1))|~defined(X1)|~less_or_equal(X0,X2))),
% 2.93/0.80 inference(cnf_transformation,[status(thm)],[f62])).
% 2.93/0.80 fof(f67,plain,(
% 2.93/0.80 ![X0,X1]: (equalish(X0,X1)|~equalish(X1,X0))),
% 2.93/0.80 inference(cnf_transformation,[status(thm)],[f22])).
% 2.93/0.80 fof(f74,plain,(
% 2.93/0.80 ![Y,X]: ((![Z]: (less_or_equal(Y,Z)|~less_or_equal(X,Z)))|~equalish(X,Y))),
% 2.93/0.80 inference(miniscoping,[status(thm)],[f26])).
% 2.93/0.80 fof(f75,plain,(
% 2.93/0.80 ![X0,X1,X2]: (less_or_equal(X0,X1)|~less_or_equal(X2,X1)|~equalish(X2,X0))),
% 2.93/0.80 inference(cnf_transformation,[status(thm)],[f74])).
% 2.93/0.80 fof(f78,plain,(
% 2.93/0.80 defined(b)),
% 2.93/0.80 inference(cnf_transformation,[status(thm)],[f29])).
% 2.93/0.80 fof(f79,plain,(
% 2.93/0.80 defined(c)),
% 2.93/0.80 inference(cnf_transformation,[status(thm)],[f30])).
% 2.93/0.80 fof(f80,plain,(
% 2.93/0.80 equalish(add(a,b),c)),
% 2.93/0.80 inference(cnf_transformation,[status(thm)],[f31])).
% 2.93/0.80 fof(f81,plain,(
% 2.93/0.80 less_or_equal(additive_identity,a)),
% 2.93/0.80 inference(cnf_transformation,[status(thm)],[f32])).
% 2.93/0.81 fof(f82,plain,(
% 2.93/0.81 less_or_equal(additive_identity,b)),
% 2.93/0.81 inference(cnf_transformation,[status(thm)],[f33])).
% 2.93/0.81 fof(f83,plain,(
% 2.93/0.81 ~less_or_equal(additive_identity,c)),
% 2.93/0.81 inference(cnf_transformation,[status(thm)],[f34])).
% 2.93/0.81 fof(f88,plain,(
% 2.93/0.81 ![X0]: (less_or_equal(additive_identity,X0)|~less_or_equal(b,X0))),
% 2.93/0.81 inference(resolution,[status(thm)],[f59,f82])).
% 2.93/0.81 fof(f105,plain,(
% 2.93/0.81 ![X0]: (less_or_equal(X0,c)|less_or_equal(c,X0)|~defined(X0))),
% 2.93/0.81 inference(resolution,[status(thm)],[f61,f79])).
% 2.93/0.81 fof(f131,plain,(
% 2.93/0.81 ![X0]: (less_or_equal(add(additive_identity,X0),add(a,X0))|~defined(X0))),
% 2.93/0.81 inference(resolution,[status(thm)],[f63,f81])).
% 2.93/0.81 fof(f387,plain,(
% 2.93/0.81 less_or_equal(c,c)|less_or_equal(c,c)),
% 2.93/0.81 inference(resolution,[status(thm)],[f105,f79])).
% 2.93/0.81 fof(f390,plain,(
% 2.93/0.81 less_or_equal(additive_identity,c)|less_or_equal(c,additive_identity)),
% 2.93/0.81 inference(resolution,[status(thm)],[f105,f51])).
% 2.93/0.81 fof(f391,plain,(
% 2.93/0.81 less_or_equal(c,c)),
% 2.93/0.81 inference(duplicate_literals_removal,[status(thm)],[f387])).
% 2.93/0.81 fof(f392,plain,(
% 2.93/0.81 less_or_equal(c,additive_identity)),
% 2.93/0.81 inference(forward_subsumption_resolution,[status(thm)],[f390,f83])).
% 2.93/0.81 fof(f396,plain,(
% 2.93/0.81 ![X0]: (less_or_equal(X0,additive_identity)|~equalish(c,X0))),
% 2.93/0.81 inference(resolution,[status(thm)],[f392,f75])).
% 2.93/0.81 fof(f412,plain,(
% 2.93/0.81 ![X0]: (less_or_equal(X0,additive_identity)|~equalish(X0,c))),
% 2.93/0.81 inference(resolution,[status(thm)],[f396,f67])).
% 2.93/0.81 fof(f415,plain,(
% 2.93/0.81 ![X0,X1]: (~defined(X0)|less_or_equal(X1,add(a,X0))|~equalish(add(additive_identity,X0),X1))),
% 2.93/0.81 inference(resolution,[status(thm)],[f131,f75])).
% 2.93/0.81 fof(f420,plain,(
% 2.93/0.81 ![X0]: (less_or_equal(X0,c)|~equalish(c,X0))),
% 2.93/0.81 inference(resolution,[status(thm)],[f391,f75])).
% 2.93/0.81 fof(f491,plain,(
% 2.93/0.81 less_or_equal(add(a,b),additive_identity)),
% 2.93/0.81 inference(resolution,[status(thm)],[f412,f80])).
% 2.93/0.81 fof(f500,plain,(
% 2.93/0.81 ![X0]: (less_or_equal(X0,c)|~equalish(X0,c))),
% 2.93/0.81 inference(resolution,[status(thm)],[f420,f67])).
% 2.93/0.81 fof(f614,plain,(
% 2.93/0.81 less_or_equal(add(a,b),c)),
% 2.93/0.81 inference(resolution,[status(thm)],[f500,f80])).
% 2.93/0.81 fof(f730,plain,(
% 2.93/0.81 ![X0]: (less_or_equal(X0,c)|~equalish(add(a,b),X0))),
% 2.93/0.81 inference(resolution,[status(thm)],[f614,f75])).
% 2.93/0.81 fof(f1392,plain,(
% 2.93/0.81 ![X0]: (~defined(X0)|less_or_equal(X0,add(a,X0))|~defined(X0))),
% 2.93/0.81 inference(resolution,[status(thm)],[f415,f37])).
% 2.93/0.81 fof(f1401,plain,(
% 2.93/0.81 ![X0]: (~defined(X0)|less_or_equal(X0,add(a,X0)))),
% 2.93/0.81 inference(duplicate_literals_removal,[status(thm)],[f1392])).
% 2.93/0.81 fof(f1417,plain,(
% 2.93/0.81 less_or_equal(b,add(a,b))),
% 2.93/0.81 inference(resolution,[status(thm)],[f1401,f78])).
% 2.93/0.81 fof(f1433,plain,(
% 2.93/0.81 less_or_equal(additive_identity,add(a,b))),
% 2.93/0.81 inference(resolution,[status(thm)],[f1417,f88])).
% 2.93/0.81 fof(f1471,plain,(
% 2.93/0.81 equalish(add(a,b),additive_identity)|~less_or_equal(add(a,b),additive_identity)),
% 2.93/0.81 inference(resolution,[status(thm)],[f1433,f57])).
% 2.93/0.81 fof(f1472,plain,(
% 2.93/0.81 equalish(add(a,b),additive_identity)),
% 2.93/0.81 inference(forward_subsumption_resolution,[status(thm)],[f1471,f491])).
% 2.93/0.81 fof(f3123,plain,(
% 2.93/0.81 less_or_equal(additive_identity,c)),
% 2.93/0.81 inference(resolution,[status(thm)],[f730,f1472])).
% 2.93/0.81 fof(f3132,plain,(
% 2.93/0.81 $false),
% 2.93/0.81 inference(forward_subsumption_resolution,[status(thm)],[f3123,f83])).
% 2.93/0.81 % SZS output end CNFRefutation for theBenchmark.p
% 2.93/0.82 % Elapsed time: 0.445297 seconds
% 2.93/0.82 % CPU time: 3.297150 seconds
% 2.93/0.82 % Total memory used: 81.260 MB
% 2.93/0.82 % Net memory used: 77.693 MB
%------------------------------------------------------------------------------