%------------------------------------------------------------------------------
% File : Drodi-SAT---4.1.1
% Problem : FLD032-3 : 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 : n014.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 12:22:22 PM UTC 2026
% Result : Unsatisfiable 0.24s 0.52s
% Output : Assurance 0s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.05 % Problem : FLD032-3 : TPTP v9.3.1. Bugfixed v2.1.0.
% 0.00/0.07 % Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.21/0.49 % Computer : n014.cluster.edu
% 0.21/0.49 % Model : x86_64 x86_64
% 0.21/0.49 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.21/0.49 % Memory : 8046.5625MB
% 0.21/0.49 % OS : Linux 6.8.0-71-generic
% 0.21/0.49 % CPULimit : 300
% 0.21/0.49 % WCLimit : 300
% 0.21/0.49 % DateTime : Mon Sep 21 15:39:04 UTC 2026
% 0.21/0.49 % CPUTime :
% 0.21/0.51 % Drodi V4.1.1
% 0.24/0.52 % Refutation found
% 0.24/0.52 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.24/0.52 % SZS output start CNFRefutation for theBenchmark
% 0.24/0.52 fof(f7,axiom,(
% 0.24/0.52 (![U,Z,W,X,Y,V]: (( product(U,Z,W)| ~ product(X,Y,U)| ~ product(Y,Z,V)| ~ product(X,V,W) ) ))),
% 0.24/0.52 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.24/0.52 fof(f8,axiom,(
% 0.24/0.52 (![X]: (( product(multiplicative_identity,X,X)| ~ defined(X) ) ))),
% 0.24/0.52 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.24/0.52 fof(f9,axiom,(
% 0.24/0.52 (![X]: (( product(multiplicative_inverse(X),X,multiplicative_identity)| sum(additive_identity,X,additive_identity)| ~ defined(X) ) ))),
% 0.24/0.52 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.24/0.52 fof(f10,axiom,(
% 0.24/0.52 (![Y,X,Z]: (( product(Y,X,Z)| ~ product(X,Y,Z) ) ))),
% 0.24/0.52 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.24/0.52 fof(f27,hypothesis,(
% 0.24/0.52 defined(a) ),
% 0.24/0.52 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.24/0.52 fof(f28,negated_conjecture,(
% 0.24/0.52 ~ sum(additive_identity,a,additive_identity) ),
% 0.24/0.52 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.24/0.52 fof(f29,negated_conjecture,(
% 0.24/0.52 product(multiplicative_identity,multiplicative_inverse(a),multiplicative_identity) ),
% 0.24/0.52 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.24/0.52 fof(f30,negated_conjecture,(
% 0.24/0.52 ~ product(multiplicative_identity,a,multiplicative_identity) ),
% 0.24/0.52 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.24/0.52 fof(f40,plain,(
% 0.24/0.52 ![W,X,V]: ((![Z,Y]: ((![U]: (product(U,Z,W)|~product(X,Y,U)))|~product(Y,Z,V)))|~product(X,V,W))),
% 0.24/0.52 inference(miniscoping,[status(thm)],[f7])).
% 0.24/0.52 fof(f41,plain,(
% 0.24/0.52 ![X0,X1,X2,X3,X4,X5]: (product(X0,X1,X2)|~product(X3,X4,X0)|~product(X4,X1,X5)|~product(X3,X5,X2))),
% 0.24/0.52 inference(cnf_transformation,[status(thm)],[f40])).
% 0.24/0.52 fof(f42,plain,(
% 0.24/0.52 ![X0]: (product(multiplicative_identity,X0,X0)|~defined(X0))),
% 0.24/0.52 inference(cnf_transformation,[status(thm)],[f8])).
% 0.24/0.52 fof(f43,plain,(
% 0.24/0.52 ![X0]: (product(multiplicative_inverse(X0),X0,multiplicative_identity)|sum(additive_identity,X0,additive_identity)|~defined(X0))),
% 0.24/0.52 inference(cnf_transformation,[status(thm)],[f9])).
% 0.24/0.52 fof(f44,plain,(
% 0.24/0.52 ![X0,X1,X2]: (product(X0,X1,X2)|~product(X1,X0,X2))),
% 0.24/0.52 inference(cnf_transformation,[status(thm)],[f10])).
% 0.24/0.52 fof(f70,plain,(
% 0.24/0.52 defined(a)),
% 0.24/0.52 inference(cnf_transformation,[status(thm)],[f27])).
% 0.24/0.52 fof(f71,plain,(
% 0.24/0.52 ~sum(additive_identity,a,additive_identity)),
% 0.24/0.52 inference(cnf_transformation,[status(thm)],[f28])).
% 0.24/0.52 fof(f72,plain,(
% 0.24/0.52 product(multiplicative_identity,multiplicative_inverse(a),multiplicative_identity)),
% 0.24/0.52 inference(cnf_transformation,[status(thm)],[f29])).
% 0.24/0.52 fof(f73,plain,(
% 0.24/0.52 ~product(multiplicative_identity,a,multiplicative_identity)),
% 0.24/0.52 inference(cnf_transformation,[status(thm)],[f30])).
% 0.24/0.52 fof(f136,plain,(
% 0.24/0.52 ![X0,X1,X2]: (~product(X0,X1,multiplicative_identity)|~product(X1,a,X2)|~product(X0,X2,multiplicative_identity))),
% 0.24/0.52 inference(resolution,[status(thm)],[f41,f73])).
% 0.24/0.52 fof(f147,definition,(
% 0.24/0.52 sQ1_spl <=> (defined(a))),
% 0.24/0.52 introduced(definition,[new_symbols(definition,[sQ1_spl])],[split_symbol_definition])).
% 0.24/0.52 fof(f149,plain,(
% 0.24/0.52 ~defined(a)|sQ1_spl),
% 0.24/0.52 inference(component_clause,[status(thm)],[f147])).
% 0.24/0.52 fof(f154,plain,(
% 0.24/0.52 ![X0]: (~product(X0,multiplicative_identity,multiplicative_identity)|~product(X0,a,multiplicative_identity)|~defined(a))),
% 0.24/0.52 inference(resolution,[status(thm)],[f136,f42])).
% 0.24/0.52 fof(f158,definition,(
% 0.24/0.52 ![X0]: (sQ2_spl <=> (~product(X0,multiplicative_identity,multiplicative_identity)|~product(X0,a,multiplicative_identity)))),
% 0.24/0.52 introduced(definition,[new_symbols(definition,[sQ2_spl])],[split_symbol_definition])).
% 0.24/0.52 fof(f159,plain,(
% 0.24/0.52 ![X0]: (~product(X0,multiplicative_identity,multiplicative_identity)|~product(X0,a,multiplicative_identity)|~sQ2_spl)),
% 0.24/0.52 inference(component_clause,[status(thm)],[f158])).
% 0.24/0.52 fof(f161,plain,(
% 0.24/0.52 sQ2_spl|~sQ1_spl),
% 0.24/0.52 inference(split_clause,[status(thm)],[f154,f158,f147])).
% 0.24/0.52 fof(f162,plain,(
% 0.24/0.52 $false|sQ1_spl),
% 0.24/0.52 inference(forward_subsumption_resolution,[status(thm)],[f149,f70])).
% 0.24/0.52 fof(f163,plain,(
% 0.24/0.52 sQ1_spl),
% 0.24/0.52 inference(contradiction_clause,[status(thm)],[f162])).
% 0.24/0.52 fof(f209,definition,(
% 0.24/0.52 sQ3_spl <=> (sum(additive_identity,a,additive_identity))),
% 0.24/0.52 introduced(definition,[new_symbols(definition,[sQ3_spl])],[split_symbol_definition])).
% 0.24/0.53 fof(f210,plain,(
% 0.24/0.53 sum(additive_identity,a,additive_identity)|~sQ3_spl),
% 0.24/0.53 inference(component_clause,[status(thm)],[f209])).
% 0.24/0.53 fof(f216,plain,(
% 0.24/0.53 $false|~sQ3_spl),
% 0.24/0.53 inference(forward_subsumption_resolution,[status(thm)],[f210,f71])).
% 0.24/0.53 fof(f217,plain,(
% 0.24/0.53 ~sQ3_spl),
% 0.24/0.53 inference(contradiction_clause,[status(thm)],[f216])).
% 0.24/0.53 fof(f490,plain,(
% 0.24/0.53 ~product(multiplicative_inverse(a),multiplicative_identity,multiplicative_identity)|sum(additive_identity,a,additive_identity)|~defined(a)|~sQ2_spl),
% 0.24/0.53 inference(resolution,[status(thm)],[f159,f43])).
% 0.24/0.53 fof(f495,definition,(
% 0.24/0.53 sQ29_spl <=> (product(multiplicative_inverse(a),multiplicative_identity,multiplicative_identity))),
% 0.24/0.53 introduced(definition,[new_symbols(definition,[sQ29_spl])],[split_symbol_definition])).
% 0.24/0.53 fof(f497,plain,(
% 0.24/0.53 ~product(multiplicative_inverse(a),multiplicative_identity,multiplicative_identity)|sQ29_spl),
% 0.24/0.53 inference(component_clause,[status(thm)],[f495])).
% 0.24/0.53 fof(f498,plain,(
% 0.24/0.53 ~sQ29_spl|sQ3_spl|~sQ1_spl|~sQ2_spl),
% 0.24/0.53 inference(split_clause,[status(thm)],[f490,f495,f209,f147,f158])).
% 0.24/0.53 fof(f502,plain,(
% 0.24/0.53 ~product(multiplicative_identity,multiplicative_inverse(a),multiplicative_identity)|sQ29_spl),
% 0.24/0.53 inference(resolution,[status(thm)],[f497,f44])).
% 0.24/0.53 fof(f503,plain,(
% 0.24/0.53 $false|sQ29_spl),
% 0.24/0.53 inference(forward_subsumption_resolution,[status(thm)],[f502,f72])).
% 0.24/0.53 fof(f504,plain,(
% 0.24/0.53 sQ29_spl),
% 0.24/0.53 inference(contradiction_clause,[status(thm)],[f503])).
% 0.24/0.53 fof(f505,plain,(
% 0.24/0.53 $false),
% 0.24/0.53 inference(sat_refutation,[status(thm)],[f161,f163,f217,f498,f504])).
% 0.24/0.53 % SZS output end CNFRefutation for theBenchmark.p
% 0.24/0.60 % Elapsed time: 0.092656 seconds
% 0.24/0.60 % CPU time: 0.092245 seconds
% 0.24/0.60 % Total memory used: 2.536 MB
% 0.24/0.60 % Net memory used: 2.502 MB
%------------------------------------------------------------------------------