%------------------------------------------------------------------------------
% File : Drodi-SAT---4.1.1
% Problem : FLD006-1 : 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 : 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 12:22:16 PM UTC 2026
% Result : Unsatisfiable 0.14s 0.39s
% Output : Assurance 0s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : FLD006-1 : TPTP v9.3.1. Bugfixed v2.1.0.
% 0.00/0.04 % Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.09/0.35 % Computer : n020.cluster.edu
% 0.09/0.35 % Model : x86_64 x86_64
% 0.09/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.35 % Memory : 8046.5625MB
% 0.09/0.35 % OS : Linux 6.8.0-71-generic
% 0.09/0.36 % CPULimit : 300
% 0.09/0.36 % WCLimit : 300
% 0.09/0.36 % DateTime : Mon Sep 21 15:37:18 UTC 2026
% 0.09/0.36 % CPUTime :
% 0.09/0.37 % Drodi V4.1.1
% 0.14/0.39 % Refutation found
% 0.14/0.39 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.14/0.39 % SZS output start CNFRefutation for theBenchmark
% 0.14/0.39 fof(f2,axiom,(
% 0.14/0.39 (![X]: (( equalish(add(additive_identity,X),X)| ~ defined(X) ) ))),
% 0.14/0.39 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.14/0.39 fof(f3,axiom,(
% 0.14/0.39 (![X]: (( equalish(add(X,additive_inverse(X)),additive_identity)| ~ defined(X) ) ))),
% 0.14/0.39 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.14/0.39 fof(f11,axiom,(
% 0.14/0.39 defined(additive_identity) ),
% 0.14/0.39 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.14/0.39 fof(f12,axiom,(
% 0.14/0.39 (![X]: (( defined(additive_inverse(X))| ~ defined(X) ) ))),
% 0.14/0.39 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.14/0.39 fof(f14,axiom,(
% 0.14/0.39 defined(multiplicative_identity) ),
% 0.14/0.39 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.14/0.39 fof(f22,axiom,(
% 0.14/0.39 (![X,Y]: (( equalish(X,Y)| ~ equalish(Y,X) ) ))),
% 0.14/0.39 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.14/0.39 fof(f23,axiom,(
% 0.14/0.39 (![X,Z,Y]: (( equalish(X,Z)| ~ equalish(X,Y)| ~ equalish(Y,Z) ) ))),
% 0.14/0.39 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.14/0.39 fof(f28,negated_conjecture,(
% 0.14/0.39 ~ equalish(additive_inverse(additive_identity),additive_identity) ),
% 0.14/0.39 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.14/0.39 fof(f31,plain,(
% 0.14/0.39 ![X0]: (equalish(add(additive_identity,X0),X0)|~defined(X0))),
% 0.14/0.39 inference(cnf_transformation,[status(thm)],[f2])).
% 0.14/0.39 fof(f32,plain,(
% 0.14/0.39 ![X0]: (equalish(add(X0,additive_inverse(X0)),additive_identity)|~defined(X0))),
% 0.14/0.39 inference(cnf_transformation,[status(thm)],[f3])).
% 0.14/0.39 fof(f45,plain,(
% 0.14/0.39 defined(additive_identity)),
% 0.14/0.39 inference(cnf_transformation,[status(thm)],[f11])).
% 0.14/0.39 fof(f46,plain,(
% 0.14/0.39 ![X0]: (defined(additive_inverse(X0))|~defined(X0))),
% 0.14/0.39 inference(cnf_transformation,[status(thm)],[f12])).
% 0.14/0.39 fof(f49,plain,(
% 0.14/0.39 defined(multiplicative_identity)),
% 0.14/0.39 inference(cnf_transformation,[status(thm)],[f14])).
% 0.14/0.39 fof(f61,plain,(
% 0.14/0.39 ![X0,X1]: (equalish(X0,X1)|~equalish(X1,X0))),
% 0.14/0.39 inference(cnf_transformation,[status(thm)],[f22])).
% 0.14/0.39 fof(f62,plain,(
% 0.14/0.39 ![Z,Y]: ((![X]: (equalish(X,Z)|~equalish(X,Y)))|~equalish(Y,Z))),
% 0.14/0.39 inference(miniscoping,[status(thm)],[f23])).
% 0.14/0.39 fof(f63,plain,(
% 0.14/0.39 ![X0,X1,X2]: (equalish(X0,X1)|~equalish(X0,X2)|~equalish(X2,X1))),
% 0.14/0.39 inference(cnf_transformation,[status(thm)],[f62])).
% 0.14/0.39 fof(f71,plain,(
% 0.14/0.39 ~equalish(additive_inverse(additive_identity),additive_identity)),
% 0.14/0.39 inference(cnf_transformation,[status(thm)],[f28])).
% 0.14/0.39 fof(f72,plain,(
% 0.14/0.39 ~equalish(additive_identity,additive_inverse(additive_identity))),
% 0.14/0.39 inference(resolution,[status(thm)],[f61,f71])).
% 0.14/0.39 fof(f74,plain,(
% 0.14/0.39 ![X0]: (~equalish(additive_identity,X0)|~equalish(X0,additive_inverse(additive_identity)))),
% 0.14/0.39 inference(resolution,[status(thm)],[f63,f72])).
% 0.14/0.39 fof(f77,plain,(
% 0.14/0.39 ![X0]: (~equalish(X0,additive_inverse(additive_identity))|~equalish(X0,additive_identity))),
% 0.14/0.39 inference(resolution,[status(thm)],[f74,f61])).
% 0.14/0.39 fof(f82,definition,(
% 0.14/0.39 sQ1_spl <=> (defined(additive_identity))),
% 0.14/0.39 introduced(definition,[new_symbols(definition,[sQ1_spl])],[split_symbol_definition])).
% 0.14/0.39 fof(f84,plain,(
% 0.14/0.39 ~defined(additive_identity)|sQ1_spl),
% 0.14/0.39 inference(component_clause,[status(thm)],[f82])).
% 0.14/0.39 fof(f92,definition,(
% 0.14/0.39 sQ3_spl <=> (defined(additive_inverse(additive_identity)))),
% 0.14/0.39 introduced(definition,[new_symbols(definition,[sQ3_spl])],[split_symbol_definition])).
% 0.14/0.39 fof(f94,plain,(
% 0.14/0.39 ~defined(additive_inverse(additive_identity))|sQ3_spl),
% 0.14/0.39 inference(component_clause,[status(thm)],[f92])).
% 0.14/0.39 fof(f107,plain,(
% 0.14/0.39 $false|sQ1_spl),
% 0.14/0.39 inference(forward_subsumption_resolution,[status(thm)],[f84,f45])).
% 0.14/0.39 fof(f108,plain,(
% 0.14/0.39 sQ1_spl),
% 0.14/0.39 inference(contradiction_clause,[status(thm)],[f107])).
% 0.14/0.39 fof(f115,definition,(
% 0.14/0.39 sQ6_spl <=> (defined(multiplicative_identity))),
% 0.14/0.39 introduced(definition,[new_symbols(definition,[sQ6_spl])],[split_symbol_definition])).
% 0.14/0.39 fof(f117,plain,(
% 0.14/0.39 ~defined(multiplicative_identity)|sQ6_spl),
% 0.14/0.39 inference(component_clause,[status(thm)],[f115])).
% 0.14/0.39 fof(f128,plain,(
% 0.14/0.39 $false|sQ6_spl),
% 0.14/0.39 inference(forward_subsumption_resolution,[status(thm)],[f117,f49])).
% 0.14/0.39 fof(f129,plain,(
% 0.14/0.39 sQ6_spl),
% 0.14/0.39 inference(contradiction_clause,[status(thm)],[f128])).
% 0.14/0.39 fof(f134,plain,(
% 0.14/0.40 ~equalish(add(additive_identity,additive_inverse(additive_identity)),additive_identity)|~defined(additive_inverse(additive_identity))),
% 0.14/0.40 inference(resolution,[status(thm)],[f77,f31])).
% 0.14/0.40 fof(f138,definition,(
% 0.14/0.40 sQ8_spl <=> (equalish(add(additive_identity,additive_inverse(additive_identity)),additive_identity))),
% 0.14/0.40 introduced(definition,[new_symbols(definition,[sQ8_spl])],[split_symbol_definition])).
% 0.14/0.40 fof(f140,plain,(
% 0.14/0.40 ~equalish(add(additive_identity,additive_inverse(additive_identity)),additive_identity)|sQ8_spl),
% 0.14/0.40 inference(component_clause,[status(thm)],[f138])).
% 0.14/0.40 fof(f141,plain,(
% 0.14/0.40 ~sQ8_spl|~sQ3_spl),
% 0.14/0.40 inference(split_clause,[status(thm)],[f134,f138,f92])).
% 0.14/0.40 fof(f143,plain,(
% 0.14/0.40 ~defined(additive_identity)|sQ3_spl),
% 0.14/0.40 inference(resolution,[status(thm)],[f94,f46])).
% 0.14/0.40 fof(f144,plain,(
% 0.14/0.40 ~sQ1_spl|sQ3_spl),
% 0.14/0.40 inference(split_clause,[status(thm)],[f143,f82,f92])).
% 0.14/0.40 fof(f152,plain,(
% 0.14/0.40 ~defined(additive_identity)|sQ8_spl),
% 0.14/0.40 inference(resolution,[status(thm)],[f140,f32])).
% 0.14/0.40 fof(f155,plain,(
% 0.14/0.40 ~sQ1_spl|sQ8_spl),
% 0.14/0.40 inference(split_clause,[status(thm)],[f152,f82,f138])).
% 0.14/0.40 fof(f156,plain,(
% 0.14/0.40 $false),
% 0.14/0.40 inference(sat_refutation,[status(thm)],[f108,f129,f141,f144,f155])).
% 0.14/0.40 % SZS output end CNFRefutation for theBenchmark.p
% 0.14/0.42 % Elapsed time: 0.051744 seconds
% 0.14/0.42 % CPU time: 0.132471 seconds
% 0.14/0.42 % Total memory used: 11.821 MB
% 0.14/0.42 % Net memory used: 11.658 MB
%------------------------------------------------------------------------------