%------------------------------------------------------------------------------
% File : Drodi-SAT---4.1.1
% Problem : FLD069-1 : 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 : n016.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 0.13s 0.55s
% Output : Assurance 0s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : FLD069-1 : TPTP v9.3.1. Bugfixed v2.1.0.
% 0.00/0.04 % Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.09/0.35 % Computer : n016.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 15:49:23 UTC 2026
% 0.09/0.36 % CPUTime :
% 0.09/0.37 % Drodi V4.1.1
% 0.13/0.55 % Refutation found
% 0.13/0.55 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.13/0.55 % SZS output start CNFRefutation for theBenchmark
% 0.13/0.55 fof(f2,axiom,(
% 0.13/0.55 (![X]: (( equalish(add(additive_identity,X),X)| ~ defined(X) ) ))),
% 0.13/0.55 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.13/0.55 fof(f16,axiom,(
% 0.13/0.55 (![X,Y]: (( equalish(X,Y)| ~ less_or_equal(X,Y)| ~ less_or_equal(Y,X) ) ))),
% 0.13/0.55 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.13/0.55 fof(f19,axiom,(
% 0.13/0.55 (![X,Z,Y]: (( less_or_equal(add(X,Z),add(Y,Z))| ~ defined(Z)| ~ less_or_equal(X,Y) ) ))),
% 0.13/0.55 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.13/0.55 fof(f22,axiom,(
% 0.13/0.55 (![X,Y]: (( equalish(X,Y)| ~ equalish(Y,X) ) ))),
% 0.13/0.55 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.13/0.55 fof(f23,axiom,(
% 0.13/0.55 (![X,Z,Y]: (( equalish(X,Z)| ~ equalish(X,Y)| ~ equalish(Y,Z) ) ))),
% 0.13/0.55 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.13/0.55 fof(f26,axiom,(
% 0.13/0.55 (![Y,Z,X]: (( less_or_equal(Y,Z)| ~ less_or_equal(X,Z)| ~ equalish(X,Y) ) ))),
% 0.13/0.55 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.13/0.56 fof(f29,hypothesis,(
% 0.13/0.56 defined(b) ),
% 0.13/0.56 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.13/0.56 fof(f30,negated_conjecture,(
% 0.13/0.56 less_or_equal(additive_identity,a) ),
% 0.13/0.56 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.13/0.56 fof(f31,negated_conjecture,(
% 0.13/0.56 less_or_equal(additive_identity,b) ),
% 0.13/0.56 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.13/0.56 fof(f32,negated_conjecture,(
% 0.13/0.56 ~ equalish(b,additive_identity) ),
% 0.13/0.56 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.13/0.56 fof(f33,negated_conjecture,(
% 0.13/0.56 equalish(add(a,b),additive_identity) ),
% 0.13/0.56 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.13/0.56 fof(f36,plain,(
% 0.13/0.56 ![X0]: (equalish(add(additive_identity,X0),X0)|~defined(X0))),
% 0.13/0.56 inference(cnf_transformation,[status(thm)],[f2])).
% 0.13/0.56 fof(f56,plain,(
% 0.13/0.56 ![X0,X1]: (equalish(X0,X1)|~less_or_equal(X0,X1)|~less_or_equal(X1,X0))),
% 0.13/0.56 inference(cnf_transformation,[status(thm)],[f16])).
% 0.13/0.56 fof(f61,plain,(
% 0.13/0.56 ![X,Y]: ((![Z]: (less_or_equal(add(X,Z),add(Y,Z))|~defined(Z)))|~less_or_equal(X,Y))),
% 0.13/0.56 inference(miniscoping,[status(thm)],[f19])).
% 0.13/0.56 fof(f62,plain,(
% 0.13/0.56 ![X0,X1,X2]: (less_or_equal(add(X0,X1),add(X2,X1))|~defined(X1)|~less_or_equal(X0,X2))),
% 0.13/0.56 inference(cnf_transformation,[status(thm)],[f61])).
% 0.13/0.56 fof(f66,plain,(
% 0.13/0.56 ![X0,X1]: (equalish(X0,X1)|~equalish(X1,X0))),
% 0.13/0.56 inference(cnf_transformation,[status(thm)],[f22])).
% 0.13/0.56 fof(f67,plain,(
% 0.13/0.56 ![Z,Y]: ((![X]: (equalish(X,Z)|~equalish(X,Y)))|~equalish(Y,Z))),
% 0.13/0.56 inference(miniscoping,[status(thm)],[f23])).
% 0.13/0.56 fof(f68,plain,(
% 0.13/0.56 ![X0,X1,X2]: (equalish(X0,X1)|~equalish(X0,X2)|~equalish(X2,X1))),
% 0.13/0.56 inference(cnf_transformation,[status(thm)],[f67])).
% 0.13/0.56 fof(f73,plain,(
% 0.13/0.56 ![Y,X]: ((![Z]: (less_or_equal(Y,Z)|~less_or_equal(X,Z)))|~equalish(X,Y))),
% 0.13/0.56 inference(miniscoping,[status(thm)],[f26])).
% 0.13/0.56 fof(f74,plain,(
% 0.13/0.56 ![X0,X1,X2]: (less_or_equal(X0,X1)|~less_or_equal(X2,X1)|~equalish(X2,X0))),
% 0.13/0.56 inference(cnf_transformation,[status(thm)],[f73])).
% 0.13/0.56 fof(f77,plain,(
% 0.13/0.56 defined(b)),
% 0.13/0.56 inference(cnf_transformation,[status(thm)],[f29])).
% 0.13/0.56 fof(f78,plain,(
% 0.13/0.56 less_or_equal(additive_identity,a)),
% 0.13/0.56 inference(cnf_transformation,[status(thm)],[f30])).
% 0.13/0.56 fof(f79,plain,(
% 0.13/0.56 less_or_equal(additive_identity,b)),
% 0.13/0.56 inference(cnf_transformation,[status(thm)],[f31])).
% 0.13/0.56 fof(f80,plain,(
% 0.13/0.56 ~equalish(b,additive_identity)),
% 0.13/0.56 inference(cnf_transformation,[status(thm)],[f32])).
% 0.13/0.56 fof(f81,plain,(
% 0.13/0.56 equalish(add(a,b),additive_identity)),
% 0.13/0.56 inference(cnf_transformation,[status(thm)],[f33])).
% 0.13/0.56 fof(f95,plain,(
% 0.13/0.56 equalish(add(additive_identity,b),b)),
% 0.13/0.56 inference(resolution,[status(thm)],[f77,f36])).
% 0.13/0.56 fof(f211,definition,(
% 0.13/0.56 sQ17_spl <=> (equalish(b,additive_identity))),
% 0.13/0.56 introduced(definition,[new_symbols(definition,[sQ17_spl])],[split_symbol_definition])).
% 0.13/0.56 fof(f212,plain,(
% 0.13/0.56 equalish(b,additive_identity)|~sQ17_spl),
% 0.13/0.56 inference(component_clause,[status(thm)],[f211])).
% 0.13/0.56 fof(f256,plain,(
% 0.13/0.56 $false|~sQ17_spl),
% 0.13/0.56 inference(forward_subsumption_resolution,[status(thm)],[f212,f80])).
% 0.13/0.56 fof(f257,plain,(
% 0.13/0.56 ~sQ17_spl),
% 0.13/0.56 inference(contradiction_clause,[status(thm)],[f256])).
% 0.13/0.56 fof(f315,plain,(
% 0.13/0.56 ![X0]: (less_or_equal(add(additive_identity,X0),add(a,X0))|~defined(X0))),
% 0.13/0.57 inference(resolution,[status(thm)],[f62,f78])).
% 0.13/0.57 fof(f320,plain,(
% 0.13/0.57 less_or_equal(add(additive_identity,b),add(a,b))),
% 0.13/0.57 inference(resolution,[status(thm)],[f315,f77])).
% 0.13/0.57 fof(f904,plain,(
% 0.13/0.57 equalish(additive_identity,add(a,b))),
% 0.13/0.57 inference(resolution,[status(thm)],[f66,f81])).
% 0.13/0.57 fof(f927,plain,(
% 0.13/0.57 ![X0]: (equalish(X0,additive_identity)|~equalish(X0,add(a,b)))),
% 0.13/0.57 inference(resolution,[status(thm)],[f68,f81])).
% 0.13/0.57 fof(f1269,plain,(
% 0.13/0.57 ![X0]: (less_or_equal(X0,add(a,b))|~equalish(add(additive_identity,b),X0))),
% 0.13/0.57 inference(resolution,[status(thm)],[f74,f320])).
% 0.13/0.57 fof(f1300,plain,(
% 0.13/0.57 ![X0]: (less_or_equal(X0,b)|~equalish(additive_identity,X0))),
% 0.13/0.57 inference(resolution,[status(thm)],[f74,f79])).
% 0.13/0.57 fof(f1488,plain,(
% 0.13/0.57 less_or_equal(add(a,b),b)),
% 0.13/0.57 inference(resolution,[status(thm)],[f1300,f904])).
% 0.13/0.57 fof(f1508,plain,(
% 0.13/0.57 equalish(b,add(a,b))|~less_or_equal(b,add(a,b))),
% 0.13/0.57 inference(resolution,[status(thm)],[f1488,f56])).
% 0.13/0.57 fof(f1509,definition,(
% 0.13/0.57 sQ128_spl <=> (equalish(b,add(a,b)))),
% 0.13/0.57 introduced(definition,[new_symbols(definition,[sQ128_spl])],[split_symbol_definition])).
% 0.13/0.57 fof(f1510,plain,(
% 0.13/0.57 equalish(b,add(a,b))|~sQ128_spl),
% 0.13/0.57 inference(component_clause,[status(thm)],[f1509])).
% 0.13/0.57 fof(f1512,definition,(
% 0.13/0.57 sQ129_spl <=> (less_or_equal(b,add(a,b)))),
% 0.13/0.57 introduced(definition,[new_symbols(definition,[sQ129_spl])],[split_symbol_definition])).
% 0.13/0.57 fof(f1514,plain,(
% 0.13/0.57 ~less_or_equal(b,add(a,b))|sQ129_spl),
% 0.13/0.57 inference(component_clause,[status(thm)],[f1512])).
% 0.13/0.57 fof(f1515,plain,(
% 0.13/0.57 sQ128_spl|~sQ129_spl),
% 0.13/0.57 inference(split_clause,[status(thm)],[f1508,f1509,f1512])).
% 0.13/0.57 fof(f1625,plain,(
% 0.13/0.57 equalish(b,additive_identity)|~sQ128_spl),
% 0.13/0.57 inference(resolution,[status(thm)],[f1510,f927])).
% 0.13/0.57 fof(f1630,plain,(
% 0.13/0.57 sQ17_spl|~sQ128_spl),
% 0.13/0.57 inference(split_clause,[status(thm)],[f1625,f211,f1509])).
% 0.13/0.57 fof(f2597,plain,(
% 0.13/0.57 less_or_equal(b,add(a,b))),
% 0.13/0.57 inference(resolution,[status(thm)],[f95,f1269])).
% 0.13/0.57 fof(f2602,plain,(
% 0.13/0.57 $false|sQ129_spl),
% 0.13/0.57 inference(forward_subsumption_resolution,[status(thm)],[f2597,f1514])).
% 0.13/0.57 fof(f2603,plain,(
% 0.13/0.57 sQ129_spl),
% 0.13/0.57 inference(contradiction_clause,[status(thm)],[f2602])).
% 0.13/0.57 fof(f2604,plain,(
% 0.13/0.57 $false),
% 0.13/0.57 inference(sat_refutation,[status(thm)],[f257,f1515,f1630,f2603])).
% 0.13/0.57 % SZS output end CNFRefutation for theBenchmark.p
% 0.13/0.59 % Elapsed time: 0.218246 seconds
% 0.13/0.59 % CPU time: 1.407060 seconds
% 0.13/0.59 % Total memory used: 41.212 MB
% 0.13/0.59 % Net memory used: 40.157 MB
%------------------------------------------------------------------------------