%------------------------------------------------------------------------------
% File : Drodi-SAT---4.1.1
% Problem : FLD059-2 : 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 : n011.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 2.00s 0.73s
% Output : Assurance 0s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.04 % Problem : FLD059-2 : TPTP v9.3.1. Bugfixed v2.1.0.
% 0.00/0.06 % Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.15/0.43 % Computer : n011.cluster.edu
% 0.15/0.43 % Model : x86_64 x86_64
% 0.15/0.43 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.43 % Memory : 8046.5625MB
% 0.15/0.43 % OS : Linux 6.8.0-71-generic
% 0.15/0.43 % CPULimit : 300
% 0.15/0.43 % WCLimit : 300
% 0.15/0.43 % DateTime : Mon Sep 21 15:43:26 UTC 2026
% 0.15/0.43 % CPUTime :
% 0.15/0.44 % Drodi V4.1.1
% 2.00/0.73 % Refutation found
% 2.00/0.73 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 2.00/0.73 % SZS output start CNFRefutation for theBenchmark
% 2.00/0.73 fof(f2,axiom,(
% 2.00/0.73 (![X]: (( equalish(add(additive_identity,X),X)| ~ defined(X) ) ))),
% 2.00/0.73 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 2.00/0.73 fof(f11,axiom,(
% 2.00/0.73 defined(additive_identity) ),
% 2.00/0.73 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 2.00/0.73 fof(f16,axiom,(
% 2.00/0.73 (![X,Y]: (( equalish(X,Y)| ~ less_or_equal(X,Y)| ~ less_or_equal(Y,X) ) ))),
% 2.00/0.73 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 2.00/0.73 fof(f17,axiom,(
% 2.00/0.73 (![X,Z,Y]: (( less_or_equal(X,Z)| ~ less_or_equal(X,Y)| ~ less_or_equal(Y,Z) ) ))),
% 2.00/0.73 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 2.00/0.73 fof(f18,axiom,(
% 2.00/0.73 (![X,Y]: (( less_or_equal(X,Y)| less_or_equal(Y,X)| ~ defined(X)| ~ defined(Y) ) ))),
% 2.00/0.73 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 2.00/0.73 fof(f19,axiom,(
% 2.00/0.73 (![X,Z,Y]: (( less_or_equal(add(X,Z),add(Y,Z))| ~ defined(Z)| ~ less_or_equal(X,Y) ) ))),
% 2.00/0.73 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 2.00/0.73 fof(f22,axiom,(
% 2.00/0.73 (![X,Y]: (( equalish(X,Y)| ~ equalish(Y,X) ) ))),
% 2.00/0.73 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 2.00/0.73 fof(f26,axiom,(
% 2.00/0.73 (![Y,Z,X]: (( less_or_equal(Y,Z)| ~ less_or_equal(X,Z)| ~ equalish(X,Y) ) ))),
% 2.00/0.73 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 2.00/0.73 fof(f28,hypothesis,(
% 2.00/0.73 defined(a) ),
% 2.00/0.73 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 2.00/0.73 fof(f29,hypothesis,(
% 2.00/0.73 defined(u) ),
% 2.00/0.73 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 2.00/0.73 fof(f30,negated_conjecture,(
% 2.00/0.73 less_or_equal(additive_identity,a) ),
% 2.00/0.73 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 2.00/0.73 fof(f31,negated_conjecture,(
% 2.00/0.73 equalish(add(a,a),u) ),
% 2.00/0.73 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 2.00/0.73 fof(f32,negated_conjecture,(
% 2.00/0.73 ~ less_or_equal(additive_identity,u) ),
% 2.00/0.73 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 2.00/0.73 fof(f35,plain,(
% 2.00/0.73 ![X0]: (equalish(add(additive_identity,X0),X0)|~defined(X0))),
% 2.00/0.73 inference(cnf_transformation,[status(thm)],[f2])).
% 2.00/0.73 fof(f49,plain,(
% 2.00/0.73 defined(additive_identity)),
% 2.00/0.73 inference(cnf_transformation,[status(thm)],[f11])).
% 2.00/0.73 fof(f55,plain,(
% 2.00/0.73 ![X0,X1]: (equalish(X0,X1)|~less_or_equal(X0,X1)|~less_or_equal(X1,X0))),
% 2.00/0.73 inference(cnf_transformation,[status(thm)],[f16])).
% 2.00/0.73 fof(f56,plain,(
% 2.00/0.73 ![Z,Y]: ((![X]: (less_or_equal(X,Z)|~less_or_equal(X,Y)))|~less_or_equal(Y,Z))),
% 2.00/0.73 inference(miniscoping,[status(thm)],[f17])).
% 2.00/0.73 fof(f57,plain,(
% 2.00/0.73 ![X0,X1,X2]: (less_or_equal(X0,X1)|~less_or_equal(X0,X2)|~less_or_equal(X2,X1))),
% 2.00/0.73 inference(cnf_transformation,[status(thm)],[f56])).
% 2.00/0.73 fof(f58,plain,(
% 2.00/0.73 ![Y]: ((![X]: ((less_or_equal(X,Y)|less_or_equal(Y,X))|~defined(X)))|~defined(Y))),
% 2.00/0.73 inference(miniscoping,[status(thm)],[f18])).
% 2.00/0.73 fof(f59,plain,(
% 2.00/0.73 ![X0,X1]: (less_or_equal(X0,X1)|less_or_equal(X1,X0)|~defined(X0)|~defined(X1))),
% 2.00/0.73 inference(cnf_transformation,[status(thm)],[f58])).
% 2.00/0.73 fof(f60,plain,(
% 2.00/0.73 ![X,Y]: ((![Z]: (less_or_equal(add(X,Z),add(Y,Z))|~defined(Z)))|~less_or_equal(X,Y))),
% 2.00/0.73 inference(miniscoping,[status(thm)],[f19])).
% 2.00/0.73 fof(f61,plain,(
% 2.00/0.73 ![X0,X1,X2]: (less_or_equal(add(X0,X1),add(X2,X1))|~defined(X1)|~less_or_equal(X0,X2))),
% 2.00/0.73 inference(cnf_transformation,[status(thm)],[f60])).
% 2.00/0.73 fof(f65,plain,(
% 2.00/0.73 ![X0,X1]: (equalish(X0,X1)|~equalish(X1,X0))),
% 2.00/0.73 inference(cnf_transformation,[status(thm)],[f22])).
% 2.00/0.73 fof(f72,plain,(
% 2.00/0.73 ![Y,X]: ((![Z]: (less_or_equal(Y,Z)|~less_or_equal(X,Z)))|~equalish(X,Y))),
% 2.00/0.73 inference(miniscoping,[status(thm)],[f26])).
% 2.00/0.73 fof(f73,plain,(
% 2.00/0.73 ![X0,X1,X2]: (less_or_equal(X0,X1)|~less_or_equal(X2,X1)|~equalish(X2,X0))),
% 2.00/0.73 inference(cnf_transformation,[status(thm)],[f72])).
% 2.00/0.73 fof(f75,plain,(
% 2.00/0.73 defined(a)),
% 2.00/0.73 inference(cnf_transformation,[status(thm)],[f28])).
% 2.00/0.73 fof(f76,plain,(
% 2.00/0.73 defined(u)),
% 2.00/0.73 inference(cnf_transformation,[status(thm)],[f29])).
% 2.00/0.73 fof(f77,plain,(
% 2.00/0.73 less_or_equal(additive_identity,a)),
% 2.00/0.73 inference(cnf_transformation,[status(thm)],[f30])).
% 2.00/0.73 fof(f78,plain,(
% 2.00/0.73 equalish(add(a,a),u)),
% 2.00/0.73 inference(cnf_transformation,[status(thm)],[f31])).
% 2.00/0.73 fof(f79,plain,(
% 2.00/0.73 ~less_or_equal(additive_identity,u)),
% 2.00/0.73 inference(cnf_transformation,[status(thm)],[f32])).
% 2.00/0.77 fof(f80,plain,(
% 2.00/0.77 equalish(a,additive_identity)|~less_or_equal(a,additive_identity)),
% 2.00/0.77 inference(resolution,[status(thm)],[f55,f77])).
% 2.00/0.77 fof(f81,plain,(
% 2.00/0.77 ![X0]: (less_or_equal(X0,a)|~less_or_equal(X0,additive_identity))),
% 2.00/0.77 inference(resolution,[status(thm)],[f57,f77])).
% 2.00/0.77 fof(f83,plain,(
% 2.00/0.77 ![X0]: (less_or_equal(X0,u)|less_or_equal(u,X0)|~defined(X0))),
% 2.00/0.77 inference(resolution,[status(thm)],[f59,f76])).
% 2.00/0.77 fof(f113,plain,(
% 2.00/0.77 ![X0]: (less_or_equal(add(additive_identity,X0),add(a,X0))|~defined(X0))),
% 2.00/0.77 inference(resolution,[status(thm)],[f61,f77])).
% 2.00/0.77 fof(f128,plain,(
% 2.00/0.77 less_or_equal(u,u)|less_or_equal(u,u)),
% 2.00/0.77 inference(resolution,[status(thm)],[f83,f76])).
% 2.00/0.77 fof(f130,plain,(
% 2.00/0.77 less_or_equal(additive_identity,u)|less_or_equal(u,additive_identity)),
% 2.00/0.77 inference(resolution,[status(thm)],[f83,f49])).
% 2.00/0.77 fof(f131,plain,(
% 2.00/0.77 less_or_equal(u,u)),
% 2.00/0.77 inference(duplicate_literals_removal,[status(thm)],[f128])).
% 2.00/0.77 fof(f132,plain,(
% 2.00/0.77 less_or_equal(u,additive_identity)),
% 2.00/0.77 inference(forward_subsumption_resolution,[status(thm)],[f130,f79])).
% 2.00/0.77 fof(f133,plain,(
% 2.00/0.77 ![X0]: (less_or_equal(X0,u)|~equalish(u,X0))),
% 2.00/0.77 inference(resolution,[status(thm)],[f131,f73])).
% 2.00/0.77 fof(f138,plain,(
% 2.00/0.77 less_or_equal(u,a)),
% 2.00/0.77 inference(resolution,[status(thm)],[f132,f81])).
% 2.00/0.77 fof(f139,plain,(
% 2.00/0.77 ![X0]: (less_or_equal(X0,additive_identity)|~equalish(u,X0))),
% 2.00/0.77 inference(resolution,[status(thm)],[f132,f73])).
% 2.00/0.77 fof(f148,plain,(
% 2.00/0.77 equalish(a,u)|~less_or_equal(a,u)),
% 2.00/0.77 inference(resolution,[status(thm)],[f138,f55])).
% 2.00/0.77 fof(f151,plain,(
% 2.00/0.77 ![X0]: (less_or_equal(X0,u)|~equalish(X0,u))),
% 2.00/0.77 inference(resolution,[status(thm)],[f133,f65])).
% 2.00/0.77 fof(f155,plain,(
% 2.00/0.77 ![X0]: (less_or_equal(X0,additive_identity)|~equalish(X0,u))),
% 2.00/0.77 inference(resolution,[status(thm)],[f139,f65])).
% 2.00/0.77 fof(f166,plain,(
% 2.00/0.77 less_or_equal(add(a,a),u)),
% 2.00/0.77 inference(resolution,[status(thm)],[f151,f78])).
% 2.00/0.77 fof(f172,plain,(
% 2.00/0.77 ~equalish(a,u)|equalish(a,additive_identity)),
% 2.00/0.77 inference(resolution,[status(thm)],[f155,f80])).
% 2.00/0.77 fof(f200,plain,(
% 2.00/0.77 ![X0]: (less_or_equal(X0,u)|~less_or_equal(X0,add(a,a)))),
% 2.00/0.77 inference(resolution,[status(thm)],[f166,f57])).
% 2.00/0.77 fof(f223,plain,(
% 2.00/0.77 ![X0,X1]: (~defined(X0)|less_or_equal(X1,add(a,X0))|~equalish(add(additive_identity,X0),X1))),
% 2.00/0.77 inference(resolution,[status(thm)],[f113,f73])).
% 2.00/0.77 fof(f613,plain,(
% 2.00/0.77 ![X0]: (less_or_equal(X0,u)|~defined(a)|~equalish(add(additive_identity,a),X0))),
% 2.00/0.77 inference(resolution,[status(thm)],[f200,f223])).
% 2.00/0.77 fof(f615,plain,(
% 2.00/0.77 ![X0]: (less_or_equal(X0,u)|~equalish(add(additive_identity,a),X0))),
% 2.00/0.77 inference(forward_subsumption_resolution,[status(thm)],[f613,f75])).
% 2.00/0.77 fof(f1140,plain,(
% 2.00/0.77 less_or_equal(a,u)|~defined(a)),
% 2.00/0.77 inference(resolution,[status(thm)],[f615,f35])).
% 2.00/0.77 fof(f1147,plain,(
% 2.00/0.77 less_or_equal(a,u)),
% 2.00/0.77 inference(forward_subsumption_resolution,[status(thm)],[f1140,f75])).
% 2.00/0.77 fof(f1151,plain,(
% 2.00/0.77 equalish(a,u)),
% 2.00/0.77 inference(backward_subsumption_resolution,[status(thm)],[f148,f1147])).
% 2.00/0.77 fof(f1154,plain,(
% 2.00/0.77 ![X0]: (less_or_equal(X0,u)|~equalish(a,X0))),
% 2.00/0.77 inference(resolution,[status(thm)],[f1147,f73])).
% 2.00/0.77 fof(f1159,plain,(
% 2.00/0.77 equalish(a,additive_identity)),
% 2.00/0.77 inference(backward_subsumption_resolution,[status(thm)],[f172,f1151])).
% 2.00/0.77 fof(f1234,plain,(
% 2.00/0.77 less_or_equal(additive_identity,u)),
% 2.00/0.77 inference(resolution,[status(thm)],[f1154,f1159])).
% 2.00/0.77 fof(f1239,plain,(
% 2.00/0.77 $false),
% 2.00/0.77 inference(forward_subsumption_resolution,[status(thm)],[f1234,f79])).
% 2.00/0.77 % SZS output end CNFRefutation for theBenchmark.p
% 2.00/0.77 % Elapsed time: 0.320408 seconds
% 2.00/0.77 % CPU time: 2.190681 seconds
% 2.00/0.77 % Total memory used: 52.183 MB
% 2.00/0.77 % Net memory used: 50.052 MB
%------------------------------------------------------------------------------