%------------------------------------------------------------------------------
% File : Drodi-SAT---4.1.1
% Problem : FLD059-3 : 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 12:22:27 PM UTC 2026
% Result : Unsatisfiable 0.12s 0.43s
% Output : Assurance 0s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : FLD059-3 : TPTP v9.3.1. Bugfixed v2.1.0.
% 0.00/0.03 % Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.08/0.34 % Computer : n012.cluster.edu
% 0.08/0.34 % Model : x86_64 x86_64
% 0.08/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.34 % Memory : 8046.5625MB
% 0.08/0.34 % OS : Linux 6.8.0-71-generic
% 0.08/0.34 % CPULimit : 300
% 0.08/0.34 % WCLimit : 300
% 0.08/0.34 % DateTime : Mon Sep 21 15:43:36 UTC 2026
% 0.08/0.34 % CPUTime :
% 0.08/0.36 % Drodi V4.1.1
% 0.12/0.43 % Refutation found
% 0.12/0.43 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.12/0.43 % SZS output start CNFRefutation for theBenchmark
% 0.12/0.43 fof(f3,axiom,(
% 0.12/0.43 (![X]: (( sum(additive_identity,X,X)| ~ defined(X) ) ))),
% 0.12/0.43 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.12/0.43 fof(f5,axiom,(
% 0.12/0.43 (![Y,X,Z]: (( sum(Y,X,Z)| ~ sum(X,Y,Z) ) ))),
% 0.12/0.43 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.12/0.43 fof(f19,axiom,(
% 0.12/0.43 (![X,Y]: (( sum(X,Y,add(X,Y))| ~ defined(X)| ~ defined(Y) ) ))),
% 0.12/0.43 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.12/0.43 fof(f22,axiom,(
% 0.12/0.43 (![X,Z,Y]: (( less_or_equal(X,Z)| ~ less_or_equal(X,Y)| ~ less_or_equal(Y,Z) ) ))),
% 0.12/0.43 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.12/0.43 fof(f24,axiom,(
% 0.12/0.43 (![U,V,X,Y,Z]: (( less_or_equal(U,V)| ~ less_or_equal(X,Y)| ~ sum(X,Z,U)| ~ sum(Y,Z,V) ) ))),
% 0.12/0.43 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.12/0.43 fof(f27,hypothesis,(
% 0.12/0.43 defined(a) ),
% 0.12/0.43 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.12/0.43 fof(f28,negated_conjecture,(
% 0.12/0.43 less_or_equal(additive_identity,a) ),
% 0.12/0.43 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.12/0.43 fof(f29,negated_conjecture,(
% 0.12/0.43 ~ less_or_equal(additive_identity,add(a,a)) ),
% 0.12/0.43 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.12/0.43 fof(f34,plain,(
% 0.12/0.43 ![X0]: (sum(additive_identity,X0,X0)|~defined(X0))),
% 0.12/0.43 inference(cnf_transformation,[status(thm)],[f3])).
% 0.12/0.43 fof(f36,plain,(
% 0.12/0.43 ![X0,X1,X2]: (sum(X0,X1,X2)|~sum(X1,X0,X2))),
% 0.12/0.43 inference(cnf_transformation,[status(thm)],[f5])).
% 0.12/0.43 fof(f56,plain,(
% 0.12/0.43 ![Y]: ((![X]: (sum(X,Y,add(X,Y))|~defined(X)))|~defined(Y))),
% 0.12/0.43 inference(miniscoping,[status(thm)],[f19])).
% 0.12/0.43 fof(f57,plain,(
% 0.12/0.43 ![X0,X1]: (sum(X0,X1,add(X0,X1))|~defined(X0)|~defined(X1))),
% 0.12/0.43 inference(cnf_transformation,[status(thm)],[f56])).
% 0.12/0.43 fof(f61,plain,(
% 0.12/0.43 ![Z,Y]: ((![X]: (less_or_equal(X,Z)|~less_or_equal(X,Y)))|~less_or_equal(Y,Z))),
% 0.12/0.43 inference(miniscoping,[status(thm)],[f22])).
% 0.12/0.43 fof(f62,plain,(
% 0.12/0.43 ![X0,X1,X2]: (less_or_equal(X0,X1)|~less_or_equal(X0,X2)|~less_or_equal(X2,X1))),
% 0.12/0.43 inference(cnf_transformation,[status(thm)],[f61])).
% 0.12/0.43 fof(f65,plain,(
% 0.12/0.43 ![V,Y,Z]: ((![U,X]: ((less_or_equal(U,V)|~less_or_equal(X,Y))|~sum(X,Z,U)))|~sum(Y,Z,V))),
% 0.12/0.43 inference(miniscoping,[status(thm)],[f24])).
% 0.12/0.43 fof(f66,plain,(
% 0.12/0.43 ![X0,X1,X2,X3,X4]: (less_or_equal(X0,X1)|~less_or_equal(X2,X3)|~sum(X2,X4,X0)|~sum(X3,X4,X1))),
% 0.12/0.43 inference(cnf_transformation,[status(thm)],[f65])).
% 0.12/0.43 fof(f69,plain,(
% 0.12/0.43 defined(a)),
% 0.12/0.43 inference(cnf_transformation,[status(thm)],[f27])).
% 0.12/0.43 fof(f70,plain,(
% 0.12/0.43 less_or_equal(additive_identity,a)),
% 0.12/0.43 inference(cnf_transformation,[status(thm)],[f28])).
% 0.12/0.43 fof(f71,plain,(
% 0.12/0.43 ~less_or_equal(additive_identity,add(a,a))),
% 0.12/0.43 inference(cnf_transformation,[status(thm)],[f29])).
% 0.12/0.43 fof(f72,plain,(
% 0.12/0.43 ![X0]: (less_or_equal(additive_identity,X0)|~less_or_equal(a,X0))),
% 0.12/0.43 inference(resolution,[status(thm)],[f62,f70])).
% 0.12/0.43 fof(f111,plain,(
% 0.12/0.43 ![X0,X1,X2]: (less_or_equal(X0,X1)|~sum(additive_identity,X2,X0)|~sum(a,X2,X1))),
% 0.12/0.43 inference(resolution,[status(thm)],[f66,f70])).
% 0.12/0.43 fof(f162,plain,(
% 0.12/0.43 ![X0,X1,X2]: (less_or_equal(X0,X1)|~sum(additive_identity,X2,X0)|~sum(X2,a,X1))),
% 0.12/0.43 inference(resolution,[status(thm)],[f111,f36])).
% 0.12/0.43 fof(f166,definition,(
% 0.12/0.43 sQ10_spl <=> (defined(a))),
% 0.12/0.43 introduced(definition,[new_symbols(definition,[sQ10_spl])],[split_symbol_definition])).
% 0.12/0.43 fof(f168,plain,(
% 0.12/0.43 ~defined(a)|sQ10_spl),
% 0.12/0.43 inference(component_clause,[status(thm)],[f166])).
% 0.12/0.43 fof(f171,plain,(
% 0.12/0.43 ![X0,X1]: (less_or_equal(X0,X1)|~sum(X0,a,X1)|~defined(X0))),
% 0.12/0.43 inference(resolution,[status(thm)],[f162,f34])).
% 0.12/0.43 fof(f186,plain,(
% 0.12/0.43 ![X0]: (less_or_equal(a,X0)|~sum(a,a,X0))),
% 0.12/0.43 inference(resolution,[status(thm)],[f171,f69])).
% 0.12/0.43 fof(f199,plain,(
% 0.12/0.43 $false|sQ10_spl),
% 0.12/0.43 inference(forward_subsumption_resolution,[status(thm)],[f168,f69])).
% 0.12/0.43 fof(f200,plain,(
% 0.12/0.43 sQ10_spl),
% 0.12/0.43 inference(contradiction_clause,[status(thm)],[f199])).
% 0.12/0.43 fof(f218,plain,(
% 0.12/0.43 less_or_equal(a,add(a,a))|~defined(a)|~defined(a)),
% 0.12/0.43 inference(resolution,[status(thm)],[f186,f57])).
% 0.12/0.43 fof(f222,definition,(
% 0.12/0.43 sQ16_spl <=> (less_or_equal(a,add(a,a)))),
% 0.12/0.43 introduced(definition,[new_symbols(definition,[sQ16_spl])],[split_symbol_definition])).
% 0.12/0.43 fof(f223,plain,(
% 0.12/0.43 less_or_equal(a,add(a,a))|~sQ16_spl),
% 0.12/0.43 inference(component_clause,[status(thm)],[f222])).
% 0.12/0.43 fof(f225,plain,(
% 0.12/0.43 sQ16_spl|~sQ10_spl),
% 0.12/0.43 inference(split_clause,[status(thm)],[f218,f222,f166])).
% 0.12/0.43 fof(f227,plain,(
% 0.12/0.43 less_or_equal(additive_identity,add(a,a))|~sQ16_spl),
% 0.12/0.43 inference(resolution,[status(thm)],[f223,f72])).
% 0.12/0.43 fof(f231,plain,(
% 0.12/0.43 $false|~sQ16_spl),
% 0.12/0.43 inference(forward_subsumption_resolution,[status(thm)],[f227,f71])).
% 0.12/0.43 fof(f232,plain,(
% 0.12/0.43 ~sQ16_spl),
% 0.12/0.43 inference(contradiction_clause,[status(thm)],[f231])).
% 0.12/0.43 fof(f233,plain,(
% 0.12/0.43 $false),
% 0.12/0.43 inference(sat_refutation,[status(thm)],[f200,f225,f232])).
% 0.12/0.43 % SZS output end CNFRefutation for theBenchmark.p
% 0.12/0.43 % Elapsed time: 0.081074 seconds
% 0.12/0.43 % CPU time: 0.388831 seconds
% 0.12/0.43 % Total memory used: 20.926 MB
% 0.12/0.43 % Net memory used: 20.507 MB
%------------------------------------------------------------------------------