%------------------------------------------------------------------------------
% File : Drodi-SAT---4.1.1
% Problem : FLD043-3 : 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 : n018.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 12:22:24 PM UTC 2026
% Result : Unsatisfiable 0.12s 0.40s
% Output : Assurance 0s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : FLD043-3 : TPTP v9.3.1. Bugfixed v2.1.0.
% 0.00/0.04 % Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.08/0.35 % Computer : n018.cluster.edu
% 0.08/0.35 % Model : x86_64 x86_64
% 0.08/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.35 % Memory : 8046.5625MB
% 0.08/0.35 % OS : Linux 6.8.0-71-generic
% 0.08/0.35 % CPULimit : 300
% 0.08/0.35 % WCLimit : 300
% 0.08/0.35 % DateTime : Mon Sep 21 15:42:01 UTC 2026
% 0.08/0.35 % CPUTime :
% 0.12/0.36 % Drodi V4.1.1
% 0.12/0.40 % Refutation found
% 0.12/0.40 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.12/0.40 % SZS output start CNFRefutation for theBenchmark
% 0.12/0.40 fof(f2,axiom,(
% 0.12/0.40 (![U,Z,W,X,Y,V]: (( sum(U,Z,W)| ~ sum(X,Y,U)| ~ sum(Y,Z,V)| ~ sum(X,V,W) ) ))),
% 0.12/0.40 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.12/0.40 fof(f3,axiom,(
% 0.12/0.40 (![X]: (( sum(additive_identity,X,X)| ~ defined(X) ) ))),
% 0.12/0.40 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.12/0.40 fof(f4,axiom,(
% 0.12/0.40 (![X]: (( sum(additive_inverse(X),X,additive_identity)| ~ defined(X) ) ))),
% 0.12/0.40 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.12/0.40 fof(f11,axiom,(
% 0.12/0.40 (![C,D,B,X,Y,A,Z]: (( sum(C,D,B)| ~ sum(X,Y,A)| ~ product(A,Z,B)| ~ product(X,Z,C)| ~ product(Y,Z,D) ) ))),
% 0.12/0.40 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.12/0.40 fof(f14,axiom,(
% 0.12/0.40 defined(additive_identity) ),
% 0.12/0.40 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.12/0.40 fof(f28,hypothesis,(
% 0.12/0.40 defined(b) ),
% 0.12/0.40 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.12/0.40 fof(f29,negated_conjecture,(
% 0.12/0.40 product(additive_identity,a,b) ),
% 0.12/0.40 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.12/0.40 fof(f30,negated_conjecture,(
% 0.12/0.40 ~ sum(additive_identity,b,additive_identity) ),
% 0.12/0.40 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.12/0.40 fof(f33,plain,(
% 0.12/0.40 ![W,X,V]: ((![Z,Y]: ((![U]: (sum(U,Z,W)|~sum(X,Y,U)))|~sum(Y,Z,V)))|~sum(X,V,W))),
% 0.12/0.40 inference(miniscoping,[status(thm)],[f2])).
% 0.12/0.40 fof(f34,plain,(
% 0.12/0.40 ![X0,X1,X2,X3,X4,X5]: (sum(X0,X1,X2)|~sum(X3,X4,X0)|~sum(X4,X1,X5)|~sum(X3,X5,X2))),
% 0.12/0.40 inference(cnf_transformation,[status(thm)],[f33])).
% 0.12/0.40 fof(f35,plain,(
% 0.12/0.40 ![X0]: (sum(additive_identity,X0,X0)|~defined(X0))),
% 0.12/0.40 inference(cnf_transformation,[status(thm)],[f3])).
% 0.12/0.40 fof(f36,plain,(
% 0.12/0.40 ![X0]: (sum(additive_inverse(X0),X0,additive_identity)|~defined(X0))),
% 0.12/0.40 inference(cnf_transformation,[status(thm)],[f4])).
% 0.12/0.40 fof(f45,plain,(
% 0.12/0.40 ![D,Y,Z]: ((![C,X]: ((![B,A]: ((sum(C,D,B)|~sum(X,Y,A))|~product(A,Z,B)))|~product(X,Z,C)))|~product(Y,Z,D))),
% 0.12/0.40 inference(miniscoping,[status(thm)],[f11])).
% 0.12/0.40 fof(f46,plain,(
% 0.12/0.40 ![X0,X1,X2,X3,X4,X5,X6]: (sum(X0,X1,X2)|~sum(X3,X4,X5)|~product(X5,X6,X2)|~product(X3,X6,X0)|~product(X4,X6,X1))),
% 0.12/0.40 inference(cnf_transformation,[status(thm)],[f45])).
% 0.12/0.40 fof(f51,plain,(
% 0.12/0.40 defined(additive_identity)),
% 0.12/0.40 inference(cnf_transformation,[status(thm)],[f14])).
% 0.12/0.40 fof(f71,plain,(
% 0.12/0.40 defined(b)),
% 0.12/0.40 inference(cnf_transformation,[status(thm)],[f28])).
% 0.12/0.40 fof(f72,plain,(
% 0.12/0.40 product(additive_identity,a,b)),
% 0.12/0.40 inference(cnf_transformation,[status(thm)],[f29])).
% 0.12/0.40 fof(f73,plain,(
% 0.12/0.40 ~sum(additive_identity,b,additive_identity)),
% 0.12/0.40 inference(cnf_transformation,[status(thm)],[f30])).
% 0.12/0.40 fof(f81,plain,(
% 0.12/0.40 sum(additive_identity,additive_identity,additive_identity)),
% 0.12/0.40 inference(resolution,[status(thm)],[f35,f51])).
% 0.12/0.40 fof(f82,plain,(
% 0.12/0.40 sum(additive_inverse(b),b,additive_identity)),
% 0.12/0.40 inference(resolution,[status(thm)],[f36,f71])).
% 0.12/0.40 fof(f166,definition,(
% 0.12/0.40 sQ16_spl <=> (sum(additive_identity,b,additive_identity))),
% 0.12/0.40 introduced(definition,[new_symbols(definition,[sQ16_spl])],[split_symbol_definition])).
% 0.12/0.40 fof(f167,plain,(
% 0.12/0.40 sum(additive_identity,b,additive_identity)|~sQ16_spl),
% 0.12/0.40 inference(component_clause,[status(thm)],[f166])).
% 0.12/0.40 fof(f187,definition,(
% 0.12/0.40 sQ22_spl <=> (sum(additive_identity,additive_identity,additive_identity))),
% 0.12/0.40 introduced(definition,[new_symbols(definition,[sQ22_spl])],[split_symbol_definition])).
% 0.12/0.40 fof(f189,plain,(
% 0.12/0.40 ~sum(additive_identity,additive_identity,additive_identity)|sQ22_spl),
% 0.12/0.40 inference(component_clause,[status(thm)],[f187])).
% 0.12/0.40 fof(f211,plain,(
% 0.12/0.40 $false|~sQ16_spl),
% 0.12/0.40 inference(forward_subsumption_resolution,[status(thm)],[f167,f73])).
% 0.12/0.40 fof(f212,plain,(
% 0.12/0.40 ~sQ16_spl),
% 0.12/0.40 inference(contradiction_clause,[status(thm)],[f211])).
% 0.12/0.40 fof(f461,plain,(
% 0.12/0.40 sum(b,b,b)|~sum(additive_identity,additive_identity,additive_identity)),
% 0.12/0.40 inference(resolution,[status(thm)],[f46,f72])).
% 0.12/0.40 fof(f469,definition,(
% 0.12/0.40 sQ70_spl <=> (sum(b,b,b))),
% 0.12/0.40 introduced(definition,[new_symbols(definition,[sQ70_spl])],[split_symbol_definition])).
% 0.12/0.40 fof(f470,plain,(
% 0.12/0.40 sum(b,b,b)|~sQ70_spl),
% 0.12/0.40 inference(component_clause,[status(thm)],[f469])).
% 0.12/0.40 fof(f476,plain,(
% 0.12/0.40 sQ70_spl|~sQ22_spl),
% 0.12/0.45 inference(split_clause,[status(thm)],[f461,f469,f187])).
% 0.12/0.45 fof(f509,plain,(
% 0.12/0.45 ![X0,X1,X2]: (sum(X0,b,X1)|~sum(X2,b,X0)|~sum(X2,b,X1)|~sQ70_spl)),
% 0.12/0.45 inference(resolution,[status(thm)],[f470,f34])).
% 0.12/0.45 fof(f1124,plain,(
% 0.12/0.45 ![X0]: (sum(X0,b,additive_identity)|~sum(additive_inverse(b),b,X0)|~sQ70_spl)),
% 0.12/0.45 inference(resolution,[status(thm)],[f82,f509])).
% 0.12/0.45 fof(f1133,plain,(
% 0.12/0.45 sum(additive_identity,b,additive_identity)|~sQ70_spl),
% 0.12/0.45 inference(resolution,[status(thm)],[f1124,f82])).
% 0.12/0.45 fof(f1134,plain,(
% 0.12/0.45 sQ16_spl|~sQ70_spl),
% 0.12/0.45 inference(split_clause,[status(thm)],[f1133,f166,f469])).
% 0.12/0.45 fof(f1135,plain,(
% 0.12/0.45 $false|sQ22_spl),
% 0.12/0.45 inference(forward_subsumption_resolution,[status(thm)],[f189,f81])).
% 0.12/0.45 fof(f1136,plain,(
% 0.12/0.45 sQ22_spl),
% 0.12/0.45 inference(contradiction_clause,[status(thm)],[f1135])).
% 0.12/0.45 fof(f1137,plain,(
% 0.12/0.45 $false),
% 0.12/0.45 inference(sat_refutation,[status(thm)],[f212,f476,f1134,f1136])).
% 0.12/0.45 % SZS output end CNFRefutation for theBenchmark.p
% 0.12/0.45 % Elapsed time: 0.083061 seconds
% 0.12/0.45 % CPU time: 0.342819 seconds
% 0.12/0.45 % Total memory used: 20.211 MB
% 0.12/0.45 % Net memory used: 19.903 MB
%------------------------------------------------------------------------------