%------------------------------------------------------------------------------
% File : Drodi-SAT---4.1.1
% Problem : FLD060-4 : 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 : n006.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 0.15s 10.68s
% Output : Assurance 0s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.05 % Problem : FLD060-4 : TPTP v9.3.1. Bugfixed v2.1.0.
% 0.00/0.07 % Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.15/10.63 % Computer : n006.cluster.edu
% 0.15/10.63 % Model : x86_64 x86_64
% 0.15/10.63 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/10.63 % Memory : 8046.5625MB
% 0.15/10.63 % OS : Linux 6.8.0-71-generic
% 0.15/10.63 % CPULimit : 300
% 0.15/10.63 % WCLimit : 300
% 0.15/10.63 % DateTime : Mon Sep 21 15:43:38 UTC 2026
% 0.15/10.63 % CPUTime :
% 0.15/10.64 % Drodi V4.1.1
% 0.15/10.68 % Refutation found
% 0.15/10.68 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.15/10.68 % SZS output start CNFRefutation for theBenchmark
% 0.15/10.68 fof(f5,axiom,(
% 0.15/10.68 (![Y,X,Z]: (( sum(Y,X,Z)| ~ sum(X,Y,Z) ) ))),
% 0.15/10.68 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.15/10.68 fof(f14,axiom,(
% 0.15/10.68 defined(additive_identity) ),
% 0.15/10.68 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.15/10.68 fof(f17,axiom,(
% 0.15/10.68 defined(multiplicative_identity) ),
% 0.15/10.68 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.15/10.68 fof(f19,axiom,(
% 0.15/10.68 (![X,Y]: (( sum(X,Y,add(X,Y))| ~ defined(X)| ~ defined(Y) ) ))),
% 0.15/10.68 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.15/10.68 fof(f22,axiom,(
% 0.15/10.68 (![X,Z,Y]: (( less_or_equal(X,Z)| ~ less_or_equal(X,Y)| ~ less_or_equal(Y,Z) ) ))),
% 0.15/10.68 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.15/10.68 fof(f23,axiom,(
% 0.15/10.68 (![X,Y]: (( less_or_equal(X,Y)| less_or_equal(Y,X)| ~ defined(X)| ~ defined(Y) ) ))),
% 0.15/10.68 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.15/10.68 fof(f24,axiom,(
% 0.15/10.68 (![U,V,X,Y,Z]: (( less_or_equal(U,V)| ~ less_or_equal(X,Y)| ~ sum(X,Z,U)| ~ sum(Y,Z,V) ) ))),
% 0.15/10.68 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.15/10.68 fof(f27,hypothesis,(
% 0.15/10.68 defined(a) ),
% 0.15/10.68 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.15/10.68 fof(f28,hypothesis,(
% 0.15/10.68 defined(b) ),
% 0.15/10.68 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.15/10.68 fof(f31,negated_conjecture,(
% 0.15/10.68 less_or_equal(a,b) ),
% 0.15/10.68 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.15/10.68 fof(f32,negated_conjecture,(
% 0.15/10.68 sum(a,a,u) ),
% 0.15/10.68 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.15/10.68 fof(f33,negated_conjecture,(
% 0.15/10.68 sum(b,b,v) ),
% 0.15/10.68 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.15/10.68 fof(f34,negated_conjecture,(
% 0.15/10.68 ~ less_or_equal(u,v) ),
% 0.15/10.68 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.15/10.68 fof(f41,plain,(
% 0.15/10.68 ![X0,X1,X2]: (sum(X0,X1,X2)|~sum(X1,X0,X2))),
% 0.15/10.68 inference(cnf_transformation,[status(thm)],[f5])).
% 0.15/10.68 fof(f55,plain,(
% 0.15/10.68 defined(additive_identity)),
% 0.15/10.68 inference(cnf_transformation,[status(thm)],[f14])).
% 0.15/10.68 fof(f59,plain,(
% 0.15/10.68 defined(multiplicative_identity)),
% 0.15/10.68 inference(cnf_transformation,[status(thm)],[f17])).
% 0.15/10.68 fof(f61,plain,(
% 0.15/10.68 ![Y]: ((![X]: (sum(X,Y,add(X,Y))|~defined(X)))|~defined(Y))),
% 0.15/10.68 inference(miniscoping,[status(thm)],[f19])).
% 0.15/10.68 fof(f62,plain,(
% 0.15/10.68 ![X0,X1]: (sum(X0,X1,add(X0,X1))|~defined(X0)|~defined(X1))),
% 0.15/10.68 inference(cnf_transformation,[status(thm)],[f61])).
% 0.15/10.68 fof(f66,plain,(
% 0.15/10.68 ![Z,Y]: ((![X]: (less_or_equal(X,Z)|~less_or_equal(X,Y)))|~less_or_equal(Y,Z))),
% 0.15/10.68 inference(miniscoping,[status(thm)],[f22])).
% 0.15/10.68 fof(f67,plain,(
% 0.15/10.68 ![X0,X1,X2]: (less_or_equal(X0,X1)|~less_or_equal(X0,X2)|~less_or_equal(X2,X1))),
% 0.15/10.68 inference(cnf_transformation,[status(thm)],[f66])).
% 0.15/10.68 fof(f68,plain,(
% 0.15/10.68 ![Y]: ((![X]: ((less_or_equal(X,Y)|less_or_equal(Y,X))|~defined(X)))|~defined(Y))),
% 0.15/10.68 inference(miniscoping,[status(thm)],[f23])).
% 0.15/10.68 fof(f69,plain,(
% 0.15/10.68 ![X0,X1]: (less_or_equal(X0,X1)|less_or_equal(X1,X0)|~defined(X0)|~defined(X1))),
% 0.15/10.68 inference(cnf_transformation,[status(thm)],[f68])).
% 0.15/10.68 fof(f70,plain,(
% 0.15/10.68 ![V,Y,Z]: ((![U,X]: ((less_or_equal(U,V)|~less_or_equal(X,Y))|~sum(X,Z,U)))|~sum(Y,Z,V))),
% 0.15/10.68 inference(miniscoping,[status(thm)],[f24])).
% 0.15/10.68 fof(f71,plain,(
% 0.15/10.68 ![X0,X1,X2,X3,X4]: (less_or_equal(X0,X1)|~less_or_equal(X2,X3)|~sum(X2,X4,X0)|~sum(X3,X4,X1))),
% 0.15/10.68 inference(cnf_transformation,[status(thm)],[f70])).
% 0.15/10.68 fof(f74,plain,(
% 0.15/10.68 defined(a)),
% 0.15/10.68 inference(cnf_transformation,[status(thm)],[f27])).
% 0.15/10.68 fof(f75,plain,(
% 0.15/10.68 defined(b)),
% 0.15/10.68 inference(cnf_transformation,[status(thm)],[f28])).
% 0.15/10.68 fof(f78,plain,(
% 0.15/10.68 less_or_equal(a,b)),
% 0.15/10.68 inference(cnf_transformation,[status(thm)],[f31])).
% 0.15/10.68 fof(f79,plain,(
% 0.15/10.68 sum(a,a,u)),
% 0.15/10.68 inference(cnf_transformation,[status(thm)],[f32])).
% 0.15/10.68 fof(f80,plain,(
% 0.15/10.68 sum(b,b,v)),
% 0.15/10.68 inference(cnf_transformation,[status(thm)],[f33])).
% 0.15/10.68 fof(f81,plain,(
% 0.15/10.68 ~less_or_equal(u,v)),
% 0.15/10.68 inference(cnf_transformation,[status(thm)],[f34])).
% 0.15/10.68 fof(f93,plain,(
% 0.15/10.68 ![X0]: (less_or_equal(X0,a)|less_or_equal(a,X0)|~defined(X0))),
% 0.15/10.68 inference(resolution,[status(thm)],[f69,f74])).
% 0.15/10.68 fof(f145,plain,(
% 0.15/10.68 ![X0,X1,X2]: (less_or_equal(X0,X1)|~sum(a,X2,X0)|~sum(b,X2,X1))),
% 0.15/10.68 inference(resolution,[status(thm)],[f71,f78])).
% 0.15/10.68 fof(f169,definition,(
% 0.15/10.68 sQ12_spl <=> (defined(multiplicative_identity))),
% 0.15/10.68 introduced(definition,[new_symbols(definition,[sQ12_spl])],[split_symbol_definition])).
% 0.15/10.68 fof(f171,plain,(
% 0.15/10.68 ~defined(multiplicative_identity)|sQ12_spl),
% 0.15/10.68 inference(component_clause,[status(thm)],[f169])).
% 0.15/10.68 fof(f186,plain,(
% 0.15/10.68 ![X0]: (less_or_equal(X0,v)|~sum(a,b,X0))),
% 0.15/10.68 inference(resolution,[status(thm)],[f145,f80])).
% 0.15/10.68 fof(f190,plain,(
% 0.15/10.68 ![X0,X1,X2]: (less_or_equal(X0,X1)|~sum(a,X2,X0)|~sum(X2,b,X1))),
% 0.15/10.68 inference(resolution,[status(thm)],[f145,f41])).
% 0.15/10.68 fof(f207,definition,(
% 0.15/10.68 sQ14_spl <=> (defined(b))),
% 0.15/10.68 introduced(definition,[new_symbols(definition,[sQ14_spl])],[split_symbol_definition])).
% 0.15/10.68 fof(f209,plain,(
% 0.15/10.68 ~defined(b)|sQ14_spl),
% 0.15/10.68 inference(component_clause,[status(thm)],[f207])).
% 0.15/10.68 fof(f294,definition,(
% 0.15/10.68 sQ25_spl <=> (less_or_equal(u,v))),
% 0.15/10.68 introduced(definition,[new_symbols(definition,[sQ25_spl])],[split_symbol_definition])).
% 0.15/10.68 fof(f295,plain,(
% 0.15/10.68 less_or_equal(u,v)|~sQ25_spl),
% 0.15/10.68 inference(component_clause,[status(thm)],[f294])).
% 0.15/10.68 fof(f315,plain,(
% 0.15/10.68 $false|~sQ25_spl),
% 0.15/10.68 inference(forward_subsumption_resolution,[status(thm)],[f295,f81])).
% 0.15/10.68 fof(f316,plain,(
% 0.15/10.68 ~sQ25_spl),
% 0.15/10.68 inference(contradiction_clause,[status(thm)],[f315])).
% 0.15/10.68 fof(f353,plain,(
% 0.15/10.68 ![X0]: (less_or_equal(u,X0)|~sum(a,b,X0))),
% 0.15/10.68 inference(resolution,[status(thm)],[f190,f79])).
% 0.15/10.68 fof(f477,plain,(
% 0.15/10.68 ~defined(a)|~defined(b)|less_or_equal(u,add(a,b))),
% 0.15/10.68 inference(resolution,[status(thm)],[f62,f353])).
% 0.15/10.68 fof(f478,plain,(
% 0.15/10.68 ~defined(a)|~defined(b)|less_or_equal(add(a,b),v)),
% 0.15/10.68 inference(resolution,[status(thm)],[f62,f186])).
% 0.15/10.68 fof(f485,definition,(
% 0.15/10.68 sQ39_spl <=> (defined(a))),
% 0.15/10.68 introduced(definition,[new_symbols(definition,[sQ39_spl])],[split_symbol_definition])).
% 0.15/10.68 fof(f487,plain,(
% 0.15/10.68 ~defined(a)|sQ39_spl),
% 0.15/10.68 inference(component_clause,[status(thm)],[f485])).
% 0.15/10.68 fof(f488,definition,(
% 0.15/10.68 sQ40_spl <=> (less_or_equal(u,add(a,b)))),
% 0.15/10.68 introduced(definition,[new_symbols(definition,[sQ40_spl])],[split_symbol_definition])).
% 0.15/10.68 fof(f489,plain,(
% 0.15/10.68 less_or_equal(u,add(a,b))|~sQ40_spl),
% 0.15/10.68 inference(component_clause,[status(thm)],[f488])).
% 0.15/10.68 fof(f491,plain,(
% 0.15/10.68 ~sQ39_spl|~sQ14_spl|sQ40_spl),
% 0.15/10.68 inference(split_clause,[status(thm)],[f477,f485,f207,f488])).
% 0.15/10.68 fof(f492,definition,(
% 0.15/10.68 sQ41_spl <=> (less_or_equal(add(a,b),v))),
% 0.15/10.68 introduced(definition,[new_symbols(definition,[sQ41_spl])],[split_symbol_definition])).
% 0.15/10.68 fof(f493,plain,(
% 0.15/10.68 less_or_equal(add(a,b),v)|~sQ41_spl),
% 0.15/10.68 inference(component_clause,[status(thm)],[f492])).
% 0.15/10.68 fof(f495,plain,(
% 0.15/10.68 ~sQ39_spl|~sQ14_spl|sQ41_spl),
% 0.15/10.68 inference(split_clause,[status(thm)],[f478,f485,f207,f492])).
% 0.15/10.68 fof(f516,definition,(
% 0.15/10.68 sQ47_spl <=> (defined(additive_identity))),
% 0.15/10.68 introduced(definition,[new_symbols(definition,[sQ47_spl])],[split_symbol_definition])).
% 0.15/10.68 fof(f518,plain,(
% 0.15/10.68 ~defined(additive_identity)|sQ47_spl),
% 0.15/10.68 inference(component_clause,[status(thm)],[f516])).
% 0.15/10.68 fof(f523,plain,(
% 0.15/10.68 $false|sQ14_spl),
% 0.15/10.68 inference(forward_subsumption_resolution,[status(thm)],[f209,f75])).
% 0.15/10.68 fof(f524,plain,(
% 0.15/10.68 sQ14_spl),
% 0.15/10.68 inference(contradiction_clause,[status(thm)],[f523])).
% 0.15/10.68 fof(f525,plain,(
% 0.15/10.68 $false|sQ39_spl),
% 0.15/10.68 inference(forward_subsumption_resolution,[status(thm)],[f487,f74])).
% 0.15/10.68 fof(f526,plain,(
% 0.15/10.68 sQ39_spl),
% 0.15/10.68 inference(contradiction_clause,[status(thm)],[f525])).
% 0.15/10.68 fof(f527,plain,(
% 0.15/10.68 $false|sQ47_spl),
% 0.15/10.68 inference(forward_subsumption_resolution,[status(thm)],[f518,f55])).
% 0.15/10.68 fof(f528,plain,(
% 0.15/10.68 sQ47_spl),
% 0.15/10.68 inference(contradiction_clause,[status(thm)],[f527])).
% 0.15/10.68 fof(f537,plain,(
% 0.15/10.68 ![X0]: (less_or_equal(u,X0)|~less_or_equal(add(a,b),X0)|~sQ40_spl)),
% 0.15/10.68 inference(resolution,[status(thm)],[f489,f67])).
% 0.15/10.68 fof(f590,plain,(
% 0.15/10.68 less_or_equal(a,a)|less_or_equal(a,a)),
% 0.15/10.68 inference(resolution,[status(thm)],[f93,f74])).
% 0.15/10.68 fof(f596,definition,(
% 0.15/10.68 sQ50_spl <=> (less_or_equal(a,a))),
% 0.15/10.68 introduced(definition,[new_symbols(definition,[sQ50_spl])],[split_symbol_definition])).
% 0.15/10.68 fof(f599,plain,(
% 0.15/10.68 sQ50_spl),
% 0.15/10.68 inference(split_clause,[status(thm)],[f590,f596])).
% 0.15/10.68 fof(f751,plain,(
% 0.15/10.68 $false|sQ12_spl),
% 0.15/10.68 inference(forward_subsumption_resolution,[status(thm)],[f171,f59])).
% 0.15/10.68 fof(f752,plain,(
% 0.15/10.68 sQ12_spl),
% 0.15/10.68 inference(contradiction_clause,[status(thm)],[f751])).
% 0.15/10.69 fof(f762,plain,(
% 0.15/10.69 less_or_equal(u,v)|~sQ40_spl|~sQ41_spl),
% 0.15/10.69 inference(resolution,[status(thm)],[f537,f493])).
% 0.15/10.69 fof(f763,plain,(
% 0.15/10.69 sQ25_spl|~sQ40_spl|~sQ41_spl),
% 0.15/10.69 inference(split_clause,[status(thm)],[f762,f294,f488,f492])).
% 0.15/10.69 fof(f764,plain,(
% 0.15/10.69 $false),
% 0.15/10.69 inference(sat_refutation,[status(thm)],[f316,f491,f495,f524,f526,f528,f599,f752,f763])).
% 0.15/10.69 % SZS output end CNFRefutation for theBenchmark.p
% 0.19/10.71 % Elapsed time: 0.066543 seconds
% 0.19/10.71 % CPU time: 0.330324 seconds
% 0.19/10.71 % Total memory used: 21.700 MB
% 0.19/10.71 % Net memory used: 21.374 MB
%------------------------------------------------------------------------------