%------------------------------------------------------------------------------
% File : Drodi-SAT---4.1.1
% Problem : FLD059-1 : 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 0.14s 0.80s
% Output : Assurance 0s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : FLD059-1 : TPTP v9.3.1. Bugfixed v2.1.0.
% 0.00/0.05 % Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.15/0.40 % Computer : n013.cluster.edu
% 0.15/0.40 % Model : x86_64 x86_64
% 0.15/0.40 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.40 % Memory : 8046.5625MB
% 0.15/0.40 % OS : Linux 6.8.0-71-generic
% 0.15/0.40 % CPULimit : 300
% 0.15/0.40 % WCLimit : 300
% 0.15/0.40 % DateTime : Mon Sep 21 15:42:53 UTC 2026
% 0.14/0.41 % CPUTime :
% 0.14/0.42 % Drodi V4.1.1
% 0.14/0.80 % Refutation found
% 0.14/0.80 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.14/0.80 % SZS output start CNFRefutation for theBenchmark
% 0.14/0.80 fof(f2,axiom,(
% 0.14/0.80 (![X]: (( equalish(add(additive_identity,X),X)| ~ defined(X) ) ))),
% 0.14/0.80 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.14/0.80 fof(f17,axiom,(
% 0.14/0.80 (![X,Z,Y]: (( less_or_equal(X,Z)| ~ less_or_equal(X,Y)| ~ less_or_equal(Y,Z) ) ))),
% 0.14/0.80 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.14/0.80 fof(f19,axiom,(
% 0.14/0.80 (![X,Z,Y]: (( less_or_equal(add(X,Z),add(Y,Z))| ~ defined(Z)| ~ less_or_equal(X,Y) ) ))),
% 0.14/0.80 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.14/0.80 fof(f26,axiom,(
% 0.14/0.80 (![Y,Z,X]: (( less_or_equal(Y,Z)| ~ less_or_equal(X,Z)| ~ equalish(X,Y) ) ))),
% 0.14/0.80 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.14/0.80 fof(f28,hypothesis,(
% 0.14/0.80 defined(a) ),
% 0.14/0.80 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.14/0.80 fof(f29,negated_conjecture,(
% 0.14/0.80 less_or_equal(additive_identity,a) ),
% 0.14/0.80 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.14/0.80 fof(f30,negated_conjecture,(
% 0.14/0.80 ~ less_or_equal(additive_identity,add(a,a)) ),
% 0.14/0.80 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.14/0.80 fof(f33,plain,(
% 0.14/0.80 ![X0]: (equalish(add(additive_identity,X0),X0)|~defined(X0))),
% 0.14/0.80 inference(cnf_transformation,[status(thm)],[f2])).
% 0.14/0.80 fof(f54,plain,(
% 0.14/0.80 ![Z,Y]: ((![X]: (less_or_equal(X,Z)|~less_or_equal(X,Y)))|~less_or_equal(Y,Z))),
% 0.14/0.80 inference(miniscoping,[status(thm)],[f17])).
% 0.14/0.80 fof(f55,plain,(
% 0.14/0.80 ![X0,X1,X2]: (less_or_equal(X0,X1)|~less_or_equal(X0,X2)|~less_or_equal(X2,X1))),
% 0.14/0.80 inference(cnf_transformation,[status(thm)],[f54])).
% 0.14/0.80 fof(f58,plain,(
% 0.14/0.80 ![X,Y]: ((![Z]: (less_or_equal(add(X,Z),add(Y,Z))|~defined(Z)))|~less_or_equal(X,Y))),
% 0.14/0.80 inference(miniscoping,[status(thm)],[f19])).
% 0.14/0.80 fof(f59,plain,(
% 0.14/0.80 ![X0,X1,X2]: (less_or_equal(add(X0,X1),add(X2,X1))|~defined(X1)|~less_or_equal(X0,X2))),
% 0.14/0.80 inference(cnf_transformation,[status(thm)],[f58])).
% 0.14/0.80 fof(f70,plain,(
% 0.14/0.80 ![Y,X]: ((![Z]: (less_or_equal(Y,Z)|~less_or_equal(X,Z)))|~equalish(X,Y))),
% 0.14/0.80 inference(miniscoping,[status(thm)],[f26])).
% 0.14/0.80 fof(f71,plain,(
% 0.14/0.80 ![X0,X1,X2]: (less_or_equal(X0,X1)|~less_or_equal(X2,X1)|~equalish(X2,X0))),
% 0.14/0.80 inference(cnf_transformation,[status(thm)],[f70])).
% 0.14/0.80 fof(f73,plain,(
% 0.14/0.80 defined(a)),
% 0.14/0.80 inference(cnf_transformation,[status(thm)],[f28])).
% 0.14/0.80 fof(f74,plain,(
% 0.14/0.80 less_or_equal(additive_identity,a)),
% 0.14/0.80 inference(cnf_transformation,[status(thm)],[f29])).
% 0.14/0.80 fof(f75,plain,(
% 0.14/0.80 ~less_or_equal(additive_identity,add(a,a))),
% 0.14/0.80 inference(cnf_transformation,[status(thm)],[f30])).
% 0.14/0.80 fof(f82,plain,(
% 0.14/0.80 equalish(add(additive_identity,a),a)),
% 0.14/0.80 inference(resolution,[status(thm)],[f33,f73])).
% 0.14/0.80 fof(f230,plain,(
% 0.14/0.80 ![X0]: (less_or_equal(add(additive_identity,X0),add(a,X0))|~defined(X0))),
% 0.14/0.80 inference(resolution,[status(thm)],[f59,f74])).
% 0.14/0.80 fof(f232,plain,(
% 0.14/0.80 less_or_equal(add(additive_identity,a),add(a,a))),
% 0.14/0.80 inference(resolution,[status(thm)],[f230,f73])).
% 0.14/0.80 fof(f971,plain,(
% 0.14/0.80 ![X0]: (less_or_equal(X0,add(a,a))|~equalish(add(additive_identity,a),X0))),
% 0.14/0.80 inference(resolution,[status(thm)],[f71,f232])).
% 0.14/0.80 fof(f1279,plain,(
% 0.14/0.80 less_or_equal(a,add(a,a))),
% 0.14/0.80 inference(resolution,[status(thm)],[f971,f82])).
% 0.14/0.80 fof(f1297,plain,(
% 0.14/0.80 ![X0]: (less_or_equal(X0,add(a,a))|~less_or_equal(X0,a))),
% 0.14/0.80 inference(resolution,[status(thm)],[f1279,f55])).
% 0.14/0.80 fof(f4029,plain,(
% 0.14/0.80 less_or_equal(additive_identity,add(a,a))),
% 0.14/0.80 inference(resolution,[status(thm)],[f1297,f74])).
% 0.14/0.80 fof(f4030,plain,(
% 0.14/0.80 $false),
% 0.14/0.80 inference(forward_subsumption_resolution,[status(thm)],[f4029,f75])).
% 0.14/0.80 % SZS output end CNFRefutation for theBenchmark.p
% 0.42/0.83 % Elapsed time: 0.401301 seconds
% 0.42/0.83 % CPU time: 2.876639 seconds
% 0.42/0.83 % Total memory used: 60.654 MB
% 0.42/0.83 % Net memory used: 58.616 MB
%------------------------------------------------------------------------------