%------------------------------------------------------------------------------
% File : Drodi-SAT---4.1.1
% Problem : FLD001-3 : 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 : n009.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 12:22:16 PM UTC 2026
% Result : Unsatisfiable 12.68s 2.06s
% Output : Assurance 0s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : FLD001-3 : TPTP v9.3.1. Bugfixed v2.1.0.
% 0.00/0.04 % Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.10/0.35 % Computer : n009.cluster.edu
% 0.10/0.35 % Model : x86_64 x86_64
% 0.10/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.35 % Memory : 8046.5625MB
% 0.10/0.35 % OS : Linux 6.8.0-71-generic
% 0.10/0.35 % CPULimit : 300
% 0.10/0.35 % WCLimit : 300
% 0.10/0.35 % DateTime : Mon Sep 21 15:36:27 UTC 2026
% 0.10/0.36 % CPUTime :
% 0.10/0.37 % Drodi V4.1.1
% 12.68/2.06 % Refutation found
% 12.68/2.06 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 12.68/2.06 % SZS output start CNFRefutation for theBenchmark
% 12.68/2.06 fof(f3,axiom,(
% 12.68/2.06 (![X]: (( sum(additive_identity,X,X)| ~ defined(X) ) ))),
% 12.68/2.06 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 12.68/2.06 fof(f8,axiom,(
% 12.68/2.06 (![X]: (( product(multiplicative_identity,X,X)| ~ defined(X) ) ))),
% 12.68/2.06 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 12.68/2.06 fof(f10,axiom,(
% 12.68/2.06 (![Y,X,Z]: (( product(Y,X,Z)| ~ product(X,Y,Z) ) ))),
% 12.68/2.06 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 12.68/2.06 fof(f12,axiom,(
% 12.68/2.06 (![A,Z,B,X,Y,C,D]: (( product(A,Z,B)| ~ sum(X,Y,A)| ~ product(X,Z,C)| ~ product(Y,Z,D)| ~ sum(C,D,B) ) ))),
% 12.68/2.06 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 12.68/2.06 fof(f14,axiom,(
% 12.68/2.06 defined(additive_identity) ),
% 12.68/2.06 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 12.68/2.06 fof(f27,hypothesis,(
% 12.68/2.06 defined(a) ),
% 12.68/2.06 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 12.68/2.06 fof(f29,hypothesis,(
% 12.68/2.06 sum(additive_identity,a,b) ),
% 12.68/2.06 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 12.68/2.06 fof(f30,negated_conjecture,(
% 12.68/2.06 ~ product(multiplicative_identity,a,b) ),
% 12.68/2.06 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 12.68/2.06 fof(f35,plain,(
% 12.68/2.06 ![X0]: (sum(additive_identity,X0,X0)|~defined(X0))),
% 12.68/2.06 inference(cnf_transformation,[status(thm)],[f3])).
% 12.68/2.06 fof(f42,plain,(
% 12.68/2.06 ![X0]: (product(multiplicative_identity,X0,X0)|~defined(X0))),
% 12.68/2.06 inference(cnf_transformation,[status(thm)],[f8])).
% 12.68/2.06 fof(f44,plain,(
% 12.68/2.06 ![X0,X1,X2]: (product(X0,X1,X2)|~product(X1,X0,X2))),
% 12.68/2.06 inference(cnf_transformation,[status(thm)],[f10])).
% 12.68/2.06 fof(f47,plain,(
% 12.68/2.06 ![B,C,D]: ((![Z,Y]: ((![X]: ((![A]: (product(A,Z,B)|~sum(X,Y,A)))|~product(X,Z,C)))|~product(Y,Z,D)))|~sum(C,D,B))),
% 12.68/2.06 inference(miniscoping,[status(thm)],[f12])).
% 12.68/2.06 fof(f48,plain,(
% 12.68/2.06 ![X0,X1,X2,X3,X4,X5,X6]: (product(X0,X1,X2)|~sum(X3,X4,X0)|~product(X3,X1,X5)|~product(X4,X1,X6)|~sum(X5,X6,X2))),
% 12.68/2.06 inference(cnf_transformation,[status(thm)],[f47])).
% 12.68/2.06 fof(f51,plain,(
% 12.68/2.06 defined(additive_identity)),
% 12.68/2.06 inference(cnf_transformation,[status(thm)],[f14])).
% 12.68/2.06 fof(f70,plain,(
% 12.68/2.06 defined(a)),
% 12.68/2.06 inference(cnf_transformation,[status(thm)],[f27])).
% 12.68/2.06 fof(f72,plain,(
% 12.68/2.06 sum(additive_identity,a,b)),
% 12.68/2.06 inference(cnf_transformation,[status(thm)],[f29])).
% 12.68/2.06 fof(f73,plain,(
% 12.68/2.06 ~product(multiplicative_identity,a,b)),
% 12.68/2.06 inference(cnf_transformation,[status(thm)],[f30])).
% 12.68/2.06 fof(f75,plain,(
% 12.68/2.06 product(multiplicative_identity,a,a)),
% 12.68/2.06 inference(resolution,[status(thm)],[f42,f70])).
% 12.68/2.06 fof(f77,plain,(
% 12.68/2.06 product(multiplicative_identity,additive_identity,additive_identity)),
% 12.68/2.06 inference(resolution,[status(thm)],[f51,f42])).
% 12.68/2.06 fof(f101,plain,(
% 12.68/2.06 sum(additive_identity,a,a)),
% 12.68/2.06 inference(resolution,[status(thm)],[f35,f70])).
% 12.68/2.06 fof(f544,plain,(
% 12.68/2.06 product(a,multiplicative_identity,a)),
% 12.68/2.06 inference(resolution,[status(thm)],[f75,f44])).
% 12.68/2.06 fof(f562,plain,(
% 12.68/2.06 product(additive_identity,multiplicative_identity,additive_identity)),
% 12.68/2.06 inference(resolution,[status(thm)],[f77,f44])).
% 12.68/2.06 fof(f786,plain,(
% 12.68/2.06 ![X0,X1,X2,X3]: (product(X0,X1,b)|~sum(X2,X3,X0)|~product(X2,X1,additive_identity)|~product(X3,X1,a))),
% 12.68/2.06 inference(resolution,[status(thm)],[f48,f72])).
% 12.68/2.06 fof(f985,plain,(
% 12.68/2.06 ![X0]: (product(a,X0,b)|~product(additive_identity,X0,additive_identity)|~product(a,X0,a))),
% 12.68/2.06 inference(resolution,[status(thm)],[f786,f101])).
% 12.68/2.06 fof(f36257,plain,(
% 12.68/2.06 product(a,multiplicative_identity,b)|~product(a,multiplicative_identity,a)),
% 12.68/2.06 inference(resolution,[status(thm)],[f985,f562])).
% 12.68/2.06 fof(f36258,definition,(
% 12.68/2.06 sQ6386_spl <=> (product(a,multiplicative_identity,b))),
% 12.68/2.06 introduced(definition,[new_symbols(definition,[sQ6386_spl])],[split_symbol_definition])).
% 12.68/2.06 fof(f36259,plain,(
% 12.68/2.06 product(a,multiplicative_identity,b)|~sQ6386_spl),
% 12.68/2.06 inference(component_clause,[status(thm)],[f36258])).
% 12.68/2.06 fof(f36261,definition,(
% 12.68/2.06 sQ6387_spl <=> (product(a,multiplicative_identity,a))),
% 12.68/2.06 introduced(definition,[new_symbols(definition,[sQ6387_spl])],[split_symbol_definition])).
% 12.68/2.06 fof(f36263,plain,(
% 12.68/2.06 ~product(a,multiplicative_identity,a)|sQ6387_spl),
% 12.68/2.06 inference(component_clause,[status(thm)],[f36261])).
% 12.68/2.06 fof(f36264,plain,(
% 12.68/2.06 sQ6386_spl|~sQ6387_spl),
% 12.68/2.06 inference(split_clause,[status(thm)],[f36257,f36258,f36261])).
% 12.68/2.09 fof(f36267,plain,(
% 12.68/2.09 $false|sQ6387_spl),
% 12.68/2.09 inference(forward_subsumption_resolution,[status(thm)],[f36263,f544])).
% 12.68/2.09 fof(f36268,plain,(
% 12.68/2.09 sQ6387_spl),
% 12.68/2.09 inference(contradiction_clause,[status(thm)],[f36267])).
% 12.68/2.09 fof(f37253,plain,(
% 12.68/2.09 product(multiplicative_identity,a,b)|~sQ6386_spl),
% 12.68/2.09 inference(resolution,[status(thm)],[f36259,f44])).
% 12.68/2.09 fof(f37261,plain,(
% 12.68/2.09 $false|~sQ6386_spl),
% 12.68/2.09 inference(forward_subsumption_resolution,[status(thm)],[f37253,f73])).
% 12.68/2.09 fof(f37262,plain,(
% 12.68/2.09 ~sQ6386_spl),
% 12.68/2.09 inference(contradiction_clause,[status(thm)],[f37261])).
% 12.68/2.09 fof(f37263,plain,(
% 12.68/2.09 $false),
% 12.68/2.09 inference(sat_refutation,[status(thm)],[f36264,f36268,f37262])).
% 12.68/2.09 % SZS output end CNFRefutation for theBenchmark.p
% 12.68/2.11 % Elapsed time: 1.729354 seconds
% 12.68/2.11 % CPU time: 13.306270 seconds
% 12.68/2.11 % Total memory used: 128.596 MB
% 12.68/2.11 % Net memory used: 123.049 MB
%------------------------------------------------------------------------------