%------------------------------------------------------------------------------
% File : Drodi-SAT---4.1.1
% Problem : FLD010-1 : TPTP v9.3.1. Bugfixed v2.7.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% Computer : n020.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 0.10s 0.38s
% Output : Assurance 0s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : FLD010-1 : TPTP v9.3.1. Bugfixed v2.7.0.
% 0.00/0.03 % Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.10/0.36 % Computer : n020.cluster.edu
% 0.10/0.36 % Model : x86_64 x86_64
% 0.10/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.36 % Memory : 8046.5625MB
% 0.10/0.36 % OS : Linux 6.8.0-71-generic
% 0.10/0.36 % CPULimit : 300
% 0.10/0.36 % WCLimit : 300
% 0.10/0.36 % DateTime : Mon Sep 21 15:37:48 UTC 2026
% 0.10/0.36 % CPUTime :
% 0.10/0.37 % Drodi V4.1.1
% 0.10/0.38 % Refutation found
% 0.10/0.38 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.10/0.38 % SZS output start CNFRefutation for theBenchmark
% 0.10/0.38 fof(f6,axiom,(
% 0.10/0.38 (![X]: (( equalish(multiply(multiplicative_identity,X),X)| ~ defined(X) ) ))),
% 0.10/0.38 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.10/0.38 fof(f7,axiom,(
% 0.10/0.38 (![X]: (( equalish(multiply(X,multiplicative_inverse(X)),multiplicative_identity)| ~ defined(X)| equalish(X,additive_identity) ) ))),
% 0.10/0.38 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.10/0.38 fof(f14,axiom,(
% 0.10/0.38 defined(multiplicative_identity) ),
% 0.10/0.38 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.10/0.38 fof(f15,axiom,(
% 0.10/0.38 (![X]: (( defined(multiplicative_inverse(X))| ~ defined(X)| equalish(X,additive_identity) ) ))),
% 0.10/0.38 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.10/0.38 fof(f22,axiom,(
% 0.10/0.38 (![X,Y]: (( equalish(X,Y)| ~ equalish(Y,X) ) ))),
% 0.10/0.38 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.10/0.38 fof(f23,axiom,(
% 0.10/0.38 (![X,Z,Y]: (( equalish(X,Z)| ~ equalish(X,Y)| ~ equalish(Y,Z) ) ))),
% 0.10/0.38 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.10/0.38 fof(f27,axiom,(
% 0.10/0.38 ~ equalish(additive_identity,multiplicative_identity) ),
% 0.10/0.38 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.10/0.38 fof(f28,negated_conjecture,(
% 0.10/0.38 ~ equalish(multiplicative_inverse(multiplicative_identity),multiplicative_identity) ),
% 0.10/0.38 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.10/0.38 fof(f37,plain,(
% 0.10/0.38 ![X0]: (equalish(multiply(multiplicative_identity,X0),X0)|~defined(X0))),
% 0.10/0.38 inference(cnf_transformation,[status(thm)],[f6])).
% 0.10/0.38 fof(f38,plain,(
% 0.10/0.38 ![X0]: (equalish(multiply(X0,multiplicative_inverse(X0)),multiplicative_identity)|~defined(X0)|equalish(X0,additive_identity))),
% 0.10/0.38 inference(cnf_transformation,[status(thm)],[f7])).
% 0.10/0.38 fof(f49,plain,(
% 0.10/0.38 defined(multiplicative_identity)),
% 0.10/0.38 inference(cnf_transformation,[status(thm)],[f14])).
% 0.10/0.38 fof(f50,plain,(
% 0.10/0.38 ![X0]: (defined(multiplicative_inverse(X0))|~defined(X0)|equalish(X0,additive_identity))),
% 0.10/0.38 inference(cnf_transformation,[status(thm)],[f15])).
% 0.10/0.38 fof(f61,plain,(
% 0.10/0.38 ![X0,X1]: (equalish(X0,X1)|~equalish(X1,X0))),
% 0.10/0.38 inference(cnf_transformation,[status(thm)],[f22])).
% 0.10/0.38 fof(f62,plain,(
% 0.10/0.38 ![Z,Y]: ((![X]: (equalish(X,Z)|~equalish(X,Y)))|~equalish(Y,Z))),
% 0.10/0.38 inference(miniscoping,[status(thm)],[f23])).
% 0.10/0.38 fof(f63,plain,(
% 0.10/0.38 ![X0,X1,X2]: (equalish(X0,X1)|~equalish(X0,X2)|~equalish(X2,X1))),
% 0.10/0.38 inference(cnf_transformation,[status(thm)],[f62])).
% 0.10/0.38 fof(f70,plain,(
% 0.10/0.38 ~equalish(additive_identity,multiplicative_identity)),
% 0.10/0.38 inference(cnf_transformation,[status(thm)],[f27])).
% 0.10/0.38 fof(f71,plain,(
% 0.10/0.38 ~equalish(multiplicative_inverse(multiplicative_identity),multiplicative_identity)),
% 0.10/0.38 inference(cnf_transformation,[status(thm)],[f28])).
% 0.10/0.38 fof(f79,plain,(
% 0.10/0.38 ![X0,X1,X2]: (~equalish(X0,X1)|~equalish(X1,X2)|equalish(X2,X0))),
% 0.10/0.38 inference(resolution,[status(thm)],[f63,f61])).
% 0.10/0.38 fof(f80,plain,(
% 0.10/0.38 ![X0]: (~defined(X0)|equalish(X0,additive_identity)|equalish(multiplicative_identity,multiply(X0,multiplicative_inverse(X0))))),
% 0.10/0.38 inference(resolution,[status(thm)],[f38,f61])).
% 0.10/0.38 fof(f116,definition,(
% 0.10/0.38 sQ4_spl <=> (defined(multiplicative_inverse(multiplicative_identity)))),
% 0.10/0.38 introduced(definition,[new_symbols(definition,[sQ4_spl])],[split_symbol_definition])).
% 0.10/0.38 fof(f118,plain,(
% 0.10/0.38 ~defined(multiplicative_inverse(multiplicative_identity))|sQ4_spl),
% 0.10/0.38 inference(component_clause,[status(thm)],[f116])).
% 0.10/0.38 fof(f124,plain,(
% 0.10/0.38 ~defined(multiplicative_identity)|equalish(multiplicative_identity,additive_identity)|sQ4_spl),
% 0.10/0.38 inference(resolution,[status(thm)],[f118,f50])).
% 0.10/0.38 fof(f125,definition,(
% 0.10/0.38 sQ6_spl <=> (defined(multiplicative_identity))),
% 0.10/0.38 introduced(definition,[new_symbols(definition,[sQ6_spl])],[split_symbol_definition])).
% 0.10/0.38 fof(f127,plain,(
% 0.10/0.38 ~defined(multiplicative_identity)|sQ6_spl),
% 0.10/0.38 inference(component_clause,[status(thm)],[f125])).
% 0.10/0.38 fof(f128,definition,(
% 0.10/0.38 sQ7_spl <=> (equalish(multiplicative_identity,additive_identity))),
% 0.10/0.38 introduced(definition,[new_symbols(definition,[sQ7_spl])],[split_symbol_definition])).
% 0.10/0.38 fof(f129,plain,(
% 0.10/0.38 equalish(multiplicative_identity,additive_identity)|~sQ7_spl),
% 0.10/0.38 inference(component_clause,[status(thm)],[f128])).
% 0.10/0.38 fof(f131,plain,(
% 0.10/0.38 ~sQ6_spl|sQ7_spl|sQ4_spl),
% 0.10/0.38 inference(split_clause,[status(thm)],[f124,f125,f128,f116])).
% 0.10/0.38 fof(f132,plain,(
% 0.10/0.38 equalish(additive_identity,multiplicative_identity)|~sQ7_spl),
% 0.10/0.38 inference(resolution,[status(thm)],[f129,f61])).
% 0.10/0.38 fof(f133,plain,(
% 0.10/0.38 $false|~sQ7_spl),
% 0.10/0.38 inference(forward_subsumption_resolution,[status(thm)],[f132,f70])).
% 0.10/0.38 fof(f134,plain,(
% 0.10/0.38 ~sQ7_spl),
% 0.10/0.38 inference(contradiction_clause,[status(thm)],[f133])).
% 0.10/0.38 fof(f135,plain,(
% 0.10/0.38 $false|sQ6_spl),
% 0.10/0.38 inference(forward_subsumption_resolution,[status(thm)],[f127,f49])).
% 0.10/0.38 fof(f136,plain,(
% 0.10/0.38 sQ6_spl),
% 0.10/0.38 inference(contradiction_clause,[status(thm)],[f135])).
% 0.10/0.38 fof(f169,plain,(
% 0.10/0.38 ![X0]: (~equalish(multiplicative_identity,X0)|~equalish(X0,multiplicative_inverse(multiplicative_identity)))),
% 0.10/0.38 inference(resolution,[status(thm)],[f79,f71])).
% 0.10/0.38 fof(f181,plain,(
% 0.10/0.38 ~equalish(multiplicative_identity,multiply(multiplicative_identity,multiplicative_inverse(multiplicative_identity)))|~defined(multiplicative_inverse(multiplicative_identity))),
% 0.10/0.38 inference(resolution,[status(thm)],[f169,f37])).
% 0.10/0.38 fof(f189,definition,(
% 0.10/0.38 sQ12_spl <=> (equalish(multiplicative_identity,multiply(multiplicative_identity,multiplicative_inverse(multiplicative_identity))))),
% 0.10/0.38 introduced(definition,[new_symbols(definition,[sQ12_spl])],[split_symbol_definition])).
% 0.10/0.38 fof(f191,plain,(
% 0.10/0.38 ~equalish(multiplicative_identity,multiply(multiplicative_identity,multiplicative_inverse(multiplicative_identity)))|sQ12_spl),
% 0.10/0.38 inference(component_clause,[status(thm)],[f189])).
% 0.10/0.38 fof(f192,plain,(
% 0.10/0.38 ~sQ12_spl|~sQ4_spl),
% 0.10/0.38 inference(split_clause,[status(thm)],[f181,f189,f116])).
% 0.10/0.38 fof(f204,plain,(
% 0.10/0.38 ~defined(multiplicative_identity)|equalish(multiplicative_identity,additive_identity)|sQ12_spl),
% 0.10/0.38 inference(resolution,[status(thm)],[f191,f80])).
% 0.10/0.38 fof(f207,plain,(
% 0.10/0.38 ~sQ6_spl|sQ7_spl|sQ12_spl),
% 0.10/0.38 inference(split_clause,[status(thm)],[f204,f125,f128,f189])).
% 0.10/0.38 fof(f208,plain,(
% 0.10/0.38 $false),
% 0.10/0.38 inference(sat_refutation,[status(thm)],[f131,f134,f136,f192,f207])).
% 0.10/0.38 % SZS output end CNFRefutation for theBenchmark.p
% 0.10/0.41 % Elapsed time: 0.040298 seconds
% 0.10/0.41 % CPU time: 0.126261 seconds
% 0.10/0.41 % Total memory used: 18.602 MB
% 0.10/0.41 % Net memory used: 18.319 MB
%------------------------------------------------------------------------------