%------------------------------------------------------------------------------
% File : Drodi-SAT---4.1.1
% Problem : FLD010-3 : 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 : n015.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 12:22:17 PM UTC 2026
% Result : Unsatisfiable 0.08s 0.38s
% Output : Assurance 0s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : FLD010-3 : TPTP v9.3.1. Bugfixed v2.1.0.
% 0.00/0.03 % Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.08/0.35 % Computer : n015.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 15:40:21 UTC 2026
% 0.08/0.35 % CPUTime :
% 0.08/0.36 % Drodi V4.1.1
% 0.08/0.38 % Refutation found
% 0.08/0.38 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.08/0.38 % SZS output start CNFRefutation for theBenchmark
% 0.08/0.38 fof(f9,axiom,(
% 0.08/0.38 (![X]: (( product(multiplicative_inverse(X),X,multiplicative_identity)| sum(additive_identity,X,additive_identity)| ~ defined(X) ) ))),
% 0.08/0.38 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.08/0.38 fof(f10,axiom,(
% 0.08/0.38 (![Y,X,Z]: (( product(Y,X,Z)| ~ product(X,Y,Z) ) ))),
% 0.08/0.38 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.08/0.38 fof(f17,axiom,(
% 0.08/0.38 defined(multiplicative_identity) ),
% 0.08/0.38 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.08/0.38 fof(f27,negated_conjecture,(
% 0.08/0.38 ~ sum(additive_identity,multiplicative_identity,additive_identity) ),
% 0.08/0.38 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.08/0.38 fof(f28,negated_conjecture,(
% 0.08/0.38 ~ product(multiplicative_identity,multiplicative_inverse(multiplicative_identity),multiplicative_identity) ),
% 0.08/0.38 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.08/0.38 fof(f41,plain,(
% 0.08/0.38 ![X0]: (product(multiplicative_inverse(X0),X0,multiplicative_identity)|sum(additive_identity,X0,additive_identity)|~defined(X0))),
% 0.08/0.38 inference(cnf_transformation,[status(thm)],[f9])).
% 0.08/0.38 fof(f42,plain,(
% 0.08/0.38 ![X0,X1,X2]: (product(X0,X1,X2)|~product(X1,X0,X2))),
% 0.08/0.38 inference(cnf_transformation,[status(thm)],[f10])).
% 0.08/0.38 fof(f53,plain,(
% 0.08/0.38 defined(multiplicative_identity)),
% 0.08/0.38 inference(cnf_transformation,[status(thm)],[f17])).
% 0.08/0.38 fof(f68,plain,(
% 0.08/0.38 ~sum(additive_identity,multiplicative_identity,additive_identity)),
% 0.08/0.38 inference(cnf_transformation,[status(thm)],[f27])).
% 0.08/0.38 fof(f69,plain,(
% 0.08/0.38 ~product(multiplicative_identity,multiplicative_inverse(multiplicative_identity),multiplicative_identity)),
% 0.08/0.38 inference(cnf_transformation,[status(thm)],[f28])).
% 0.08/0.38 fof(f162,plain,(
% 0.08/0.38 product(multiplicative_inverse(multiplicative_identity),multiplicative_identity,multiplicative_identity)|sum(additive_identity,multiplicative_identity,additive_identity)),
% 0.08/0.38 inference(resolution,[status(thm)],[f41,f53])).
% 0.08/0.38 fof(f164,definition,(
% 0.08/0.38 sQ3_spl <=> (product(multiplicative_inverse(multiplicative_identity),multiplicative_identity,multiplicative_identity))),
% 0.08/0.38 introduced(definition,[new_symbols(definition,[sQ3_spl])],[split_symbol_definition])).
% 0.08/0.38 fof(f165,plain,(
% 0.08/0.38 product(multiplicative_inverse(multiplicative_identity),multiplicative_identity,multiplicative_identity)|~sQ3_spl),
% 0.08/0.38 inference(component_clause,[status(thm)],[f164])).
% 0.08/0.38 fof(f167,definition,(
% 0.08/0.38 sQ4_spl <=> (sum(additive_identity,multiplicative_identity,additive_identity))),
% 0.08/0.38 introduced(definition,[new_symbols(definition,[sQ4_spl])],[split_symbol_definition])).
% 0.08/0.38 fof(f168,plain,(
% 0.08/0.38 sum(additive_identity,multiplicative_identity,additive_identity)|~sQ4_spl),
% 0.08/0.38 inference(component_clause,[status(thm)],[f167])).
% 0.08/0.38 fof(f170,plain,(
% 0.08/0.38 sQ3_spl|sQ4_spl),
% 0.08/0.38 inference(split_clause,[status(thm)],[f162,f164,f167])).
% 0.08/0.38 fof(f206,plain,(
% 0.08/0.38 product(multiplicative_identity,multiplicative_inverse(multiplicative_identity),multiplicative_identity)|~sQ3_spl),
% 0.08/0.38 inference(resolution,[status(thm)],[f165,f42])).
% 0.08/0.38 fof(f207,plain,(
% 0.08/0.38 $false|~sQ3_spl),
% 0.08/0.38 inference(forward_subsumption_resolution,[status(thm)],[f206,f69])).
% 0.08/0.38 fof(f208,plain,(
% 0.08/0.38 ~sQ3_spl),
% 0.08/0.38 inference(contradiction_clause,[status(thm)],[f207])).
% 0.08/0.38 fof(f209,plain,(
% 0.08/0.38 $false|~sQ4_spl),
% 0.08/0.38 inference(forward_subsumption_resolution,[status(thm)],[f168,f68])).
% 0.08/0.38 fof(f210,plain,(
% 0.08/0.38 ~sQ4_spl),
% 0.08/0.38 inference(contradiction_clause,[status(thm)],[f209])).
% 0.08/0.38 fof(f211,plain,(
% 0.08/0.38 $false),
% 0.08/0.38 inference(sat_refutation,[status(thm)],[f170,f208,f210])).
% 0.08/0.38 % SZS output end CNFRefutation for theBenchmark.p
% 0.12/0.40 % Elapsed time: 0.041355 seconds
% 0.12/0.40 % CPU time: 0.096669 seconds
% 0.12/0.40 % Total memory used: 12.151 MB
% 0.12/0.40 % Net memory used: 11.979 MB
%------------------------------------------------------------------------------