%------------------------------------------------------------------------------
% File : Drodi-SAT---4.1.1
% Problem : FLD061-4 : 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 : n005.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 12:22:28 PM UTC 2026
% Result : Unsatisfiable 14.59s 2.44s
% Output : Assurance 0s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.04 % Problem : FLD061-4 : TPTP v9.3.1. Bugfixed v2.1.0.
% 0.00/0.06 % Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.18/0.44 % Computer : n005.cluster.edu
% 0.18/0.44 % Model : x86_64 x86_64
% 0.18/0.44 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.18/0.44 % Memory : 8046.5625MB
% 0.18/0.44 % OS : Linux 6.8.0-71-generic
% 0.18/0.44 % CPULimit : 300
% 0.18/0.44 % WCLimit : 300
% 0.18/0.44 % DateTime : Mon Sep 21 15:43:48 UTC 2026
% 0.18/0.44 % CPUTime :
% 0.18/0.45 % Drodi V4.1.1
% 14.59/2.44 % Refutation found
% 14.59/2.44 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 14.59/2.44 % SZS output start CNFRefutation for theBenchmark
% 14.59/2.44 fof(f5,axiom,(
% 14.59/2.44 (![Y,X,Z]: (( sum(Y,X,Z)| ~ sum(X,Y,Z) ) ))),
% 14.59/2.44 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 14.59/2.44 fof(f19,axiom,(
% 14.59/2.44 (![X,Y]: (( sum(X,Y,add(X,Y))| ~ defined(X)| ~ defined(Y) ) ))),
% 14.59/2.44 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 14.59/2.44 fof(f22,axiom,(
% 14.59/2.44 (![X,Z,Y]: (( less_or_equal(X,Z)| ~ less_or_equal(X,Y)| ~ less_or_equal(Y,Z) ) ))),
% 14.59/2.44 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 14.59/2.44 fof(f24,axiom,(
% 14.59/2.44 (![U,V,X,Y,Z]: (( less_or_equal(U,V)| ~ less_or_equal(X,Y)| ~ sum(X,Z,U)| ~ sum(Y,Z,V) ) ))),
% 14.59/2.44 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 14.59/2.44 fof(f28,hypothesis,(
% 14.59/2.44 defined(b) ),
% 14.59/2.44 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 14.59/2.44 fof(f29,hypothesis,(
% 14.59/2.44 defined(c) ),
% 14.59/2.44 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 14.59/2.44 fof(f33,negated_conjecture,(
% 14.59/2.44 less_or_equal(a,b) ),
% 14.59/2.44 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 14.59/2.44 fof(f34,negated_conjecture,(
% 14.59/2.44 less_or_equal(c,d) ),
% 14.59/2.44 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 14.59/2.44 fof(f35,negated_conjecture,(
% 14.59/2.44 sum(a,c,u) ),
% 14.59/2.44 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 14.59/2.44 fof(f36,negated_conjecture,(
% 14.59/2.44 sum(d,b,v) ),
% 14.59/2.44 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 14.59/2.44 fof(f37,negated_conjecture,(
% 14.59/2.44 ~ less_or_equal(u,v) ),
% 14.59/2.44 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 14.59/2.44 fof(f44,plain,(
% 14.59/2.44 ![X0,X1,X2]: (sum(X0,X1,X2)|~sum(X1,X0,X2))),
% 14.59/2.44 inference(cnf_transformation,[status(thm)],[f5])).
% 14.59/2.44 fof(f64,plain,(
% 14.59/2.44 ![Y]: ((![X]: (sum(X,Y,add(X,Y))|~defined(X)))|~defined(Y))),
% 14.59/2.44 inference(miniscoping,[status(thm)],[f19])).
% 14.59/2.44 fof(f65,plain,(
% 14.59/2.44 ![X0,X1]: (sum(X0,X1,add(X0,X1))|~defined(X0)|~defined(X1))),
% 14.59/2.44 inference(cnf_transformation,[status(thm)],[f64])).
% 14.59/2.44 fof(f69,plain,(
% 14.59/2.44 ![Z,Y]: ((![X]: (less_or_equal(X,Z)|~less_or_equal(X,Y)))|~less_or_equal(Y,Z))),
% 14.59/2.44 inference(miniscoping,[status(thm)],[f22])).
% 14.59/2.44 fof(f70,plain,(
% 14.59/2.44 ![X0,X1,X2]: (less_or_equal(X0,X1)|~less_or_equal(X0,X2)|~less_or_equal(X2,X1))),
% 14.59/2.44 inference(cnf_transformation,[status(thm)],[f69])).
% 14.59/2.44 fof(f73,plain,(
% 14.59/2.44 ![V,Y,Z]: ((![U,X]: ((less_or_equal(U,V)|~less_or_equal(X,Y))|~sum(X,Z,U)))|~sum(Y,Z,V))),
% 14.59/2.44 inference(miniscoping,[status(thm)],[f24])).
% 14.59/2.44 fof(f74,plain,(
% 14.59/2.44 ![X0,X1,X2,X3,X4]: (less_or_equal(X0,X1)|~less_or_equal(X2,X3)|~sum(X2,X4,X0)|~sum(X3,X4,X1))),
% 14.59/2.44 inference(cnf_transformation,[status(thm)],[f73])).
% 14.59/2.44 fof(f78,plain,(
% 14.59/2.44 defined(b)),
% 14.59/2.44 inference(cnf_transformation,[status(thm)],[f28])).
% 14.59/2.44 fof(f79,plain,(
% 14.59/2.44 defined(c)),
% 14.59/2.44 inference(cnf_transformation,[status(thm)],[f29])).
% 14.59/2.44 fof(f83,plain,(
% 14.59/2.44 less_or_equal(a,b)),
% 14.59/2.44 inference(cnf_transformation,[status(thm)],[f33])).
% 14.59/2.44 fof(f84,plain,(
% 14.59/2.44 less_or_equal(c,d)),
% 14.59/2.44 inference(cnf_transformation,[status(thm)],[f34])).
% 14.59/2.44 fof(f85,plain,(
% 14.59/2.44 sum(a,c,u)),
% 14.59/2.44 inference(cnf_transformation,[status(thm)],[f35])).
% 14.59/2.44 fof(f86,plain,(
% 14.59/2.44 sum(d,b,v)),
% 14.59/2.44 inference(cnf_transformation,[status(thm)],[f36])).
% 14.59/2.44 fof(f87,plain,(
% 14.59/2.44 ~less_or_equal(u,v)),
% 14.59/2.44 inference(cnf_transformation,[status(thm)],[f37])).
% 14.59/2.44 fof(f113,plain,(
% 14.59/2.44 ![X0]: (~less_or_equal(u,X0)|~less_or_equal(X0,v))),
% 14.59/2.44 inference(resolution,[status(thm)],[f87,f70])).
% 14.59/2.44 fof(f123,plain,(
% 14.59/2.44 ![X0,X1,X2]: (less_or_equal(X0,X1)|~sum(c,X2,X0)|~sum(d,X2,X1))),
% 14.59/2.44 inference(resolution,[status(thm)],[f74,f84])).
% 14.59/2.44 fof(f124,plain,(
% 14.59/2.44 ![X0,X1,X2]: (less_or_equal(X0,X1)|~sum(a,X2,X0)|~sum(b,X2,X1))),
% 14.59/2.44 inference(resolution,[status(thm)],[f74,f83])).
% 14.59/2.44 fof(f231,plain,(
% 14.59/2.44 ![X0,X1,X2]: (less_or_equal(X0,X1)|~sum(a,X2,X0)|~sum(X2,b,X1))),
% 14.59/2.44 inference(resolution,[status(thm)],[f124,f44])).
% 14.59/2.44 fof(f285,plain,(
% 14.59/2.44 ![X0,X1]: (~defined(c)|~defined(X0)|less_or_equal(add(c,X0),X1)|~sum(d,X0,X1))),
% 14.59/2.44 inference(resolution,[status(thm)],[f65,f123])).
% 14.59/2.44 fof(f286,definition,(
% 14.59/2.44 sQ18_spl <=> (defined(b))),
% 14.59/2.44 introduced(definition,[new_symbols(definition,[sQ18_spl])],[split_symbol_definition])).
% 14.59/2.44 fof(f288,plain,(
% 14.59/2.44 ~defined(b)|sQ18_spl),
% 14.59/2.44 inference(component_clause,[status(thm)],[f286])).
% 14.59/2.44 fof(f293,definition,(
% 14.59/2.44 sQ20_spl <=> (defined(c))),
% 14.96/2.46 introduced(definition,[new_symbols(definition,[sQ20_spl])],[split_symbol_definition])).
% 14.96/2.46 fof(f295,plain,(
% 14.96/2.46 ~defined(c)|sQ20_spl),
% 14.96/2.46 inference(component_clause,[status(thm)],[f293])).
% 14.96/2.46 fof(f296,definition,(
% 14.96/2.46 ![X0,X1]: (sQ21_spl <=> (~defined(X0)|less_or_equal(add(c,X0),X1)|~sum(d,X0,X1)))),
% 14.96/2.46 introduced(definition,[new_symbols(definition,[sQ21_spl])],[split_symbol_definition])).
% 14.96/2.46 fof(f297,plain,(
% 14.96/2.46 ![X0,X1]: (~defined(X0)|less_or_equal(add(c,X0),X1)|~sum(d,X0,X1)|~sQ21_spl)),
% 14.96/2.46 inference(component_clause,[status(thm)],[f296])).
% 14.96/2.46 fof(f299,plain,(
% 14.96/2.46 ~sQ20_spl|sQ21_spl),
% 14.96/2.46 inference(split_clause,[status(thm)],[f285,f293,f296])).
% 14.96/2.46 fof(f300,plain,(
% 14.96/2.46 $false|sQ20_spl),
% 14.96/2.46 inference(forward_subsumption_resolution,[status(thm)],[f295,f79])).
% 14.96/2.46 fof(f301,plain,(
% 14.96/2.46 sQ20_spl),
% 14.96/2.46 inference(contradiction_clause,[status(thm)],[f300])).
% 14.96/2.46 fof(f302,plain,(
% 14.96/2.46 $false|sQ18_spl),
% 14.96/2.46 inference(forward_subsumption_resolution,[status(thm)],[f288,f78])).
% 14.96/2.46 fof(f303,plain,(
% 14.96/2.46 sQ18_spl),
% 14.96/2.46 inference(contradiction_clause,[status(thm)],[f302])).
% 14.96/2.46 fof(f578,plain,(
% 14.96/2.46 ![X0,X1]: (~sum(a,X0,u)|~sum(X0,b,X1)|~less_or_equal(X1,v))),
% 14.96/2.46 inference(resolution,[status(thm)],[f231,f113])).
% 14.96/2.46 fof(f2579,plain,(
% 14.96/2.46 ![X0]: (~sum(c,b,X0)|~less_or_equal(X0,v))),
% 14.96/2.46 inference(resolution,[status(thm)],[f578,f85])).
% 14.96/2.46 fof(f2751,plain,(
% 14.96/2.46 ~less_or_equal(add(c,b),v)|~defined(c)|~defined(b)),
% 14.96/2.46 inference(resolution,[status(thm)],[f2579,f65])).
% 14.96/2.46 fof(f2756,definition,(
% 14.96/2.46 sQ265_spl <=> (less_or_equal(add(c,b),v))),
% 14.96/2.46 introduced(definition,[new_symbols(definition,[sQ265_spl])],[split_symbol_definition])).
% 14.96/2.46 fof(f2758,plain,(
% 14.96/2.46 ~less_or_equal(add(c,b),v)|sQ265_spl),
% 14.96/2.46 inference(component_clause,[status(thm)],[f2756])).
% 14.96/2.46 fof(f2759,plain,(
% 14.96/2.46 ~sQ265_spl|~sQ20_spl|~sQ18_spl),
% 14.96/2.46 inference(split_clause,[status(thm)],[f2751,f2756,f293,f286])).
% 14.96/2.46 fof(f2796,plain,(
% 14.96/2.46 ~defined(b)|~sum(d,b,v)|sQ265_spl|~sQ21_spl),
% 14.96/2.46 inference(resolution,[status(thm)],[f2758,f297])).
% 14.96/2.46 fof(f2804,definition,(
% 14.96/2.46 sQ268_spl <=> (sum(d,b,v))),
% 14.96/2.46 introduced(definition,[new_symbols(definition,[sQ268_spl])],[split_symbol_definition])).
% 14.96/2.46 fof(f2806,plain,(
% 14.96/2.46 ~sum(d,b,v)|sQ268_spl),
% 14.96/2.46 inference(component_clause,[status(thm)],[f2804])).
% 14.96/2.46 fof(f2807,plain,(
% 14.96/2.46 ~sQ18_spl|~sQ268_spl|sQ265_spl|~sQ21_spl),
% 14.96/2.46 inference(split_clause,[status(thm)],[f2796,f286,f2804,f2756,f296])).
% 14.96/2.46 fof(f2812,plain,(
% 14.96/2.46 $false|sQ268_spl),
% 14.96/2.46 inference(forward_subsumption_resolution,[status(thm)],[f2806,f86])).
% 14.96/2.46 fof(f2813,plain,(
% 14.96/2.46 sQ268_spl),
% 14.96/2.46 inference(contradiction_clause,[status(thm)],[f2812])).
% 14.96/2.46 fof(f2814,plain,(
% 14.96/2.46 $false),
% 14.96/2.46 inference(sat_refutation,[status(thm)],[f299,f301,f303,f2759,f2807,f2813])).
% 14.96/2.46 % SZS output end CNFRefutation for theBenchmark.p
% 14.96/2.48 % Elapsed time: 2.025562 seconds
% 14.96/2.48 % CPU time: 15.719420 seconds
% 14.96/2.48 % Total memory used: 104.661 MB
% 14.96/2.48 % Net memory used: 98.585 MB
%------------------------------------------------------------------------------