%------------------------------------------------------------------------------
% File : Drodi-SAT---4.1.1
% Problem : FLD037-3 : 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 : n017.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 12:22:23 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 : FLD037-3 : 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 : n017.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 15:34:58 UTC 2026
% 0.08/0.36 % CPUTime :
% 0.14/0.36 % 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(f6,axiom,(
% 0.14/0.39 (![X,V,W,Y,U,Z]: (( product(X,V,W)| ~ product(X,Y,U)| ~ product(Y,Z,V)| ~ product(U,Z,W) ) ))),
% 0.14/0.39 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.14/0.39 fof(f8,axiom,(
% 0.14/0.39 (![X]: (( product(multiplicative_identity,X,X)| ~ defined(X) ) ))),
% 0.14/0.39 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.14/0.39 fof(f9,axiom,(
% 0.14/0.39 (![X]: (( product(multiplicative_inverse(X),X,multiplicative_identity)| sum(additive_identity,X,additive_identity)| ~ defined(X) ) ))),
% 0.14/0.39 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.14/0.39 fof(f10,axiom,(
% 0.14/0.39 (![Y,X,Z]: (( product(Y,X,Z)| ~ product(X,Y,Z) ) ))),
% 0.14/0.39 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.14/0.39 fof(f17,axiom,(
% 0.14/0.39 defined(multiplicative_identity) ),
% 0.14/0.39 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.14/0.39 fof(f27,hypothesis,(
% 0.14/0.39 defined(a) ),
% 0.14/0.39 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.14/0.39 fof(f29,negated_conjecture,(
% 0.14/0.39 ~ sum(additive_identity,a,additive_identity) ),
% 0.14/0.39 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.14/0.39 fof(f30,negated_conjecture,(
% 0.14/0.39 product(multiplicative_identity,a,b) ),
% 0.14/0.39 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.14/0.39 fof(f31,negated_conjecture,(
% 0.14/0.39 ~ product(b,multiplicative_inverse(a),multiplicative_identity) ),
% 0.14/0.39 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.14/0.39 fof(f39,plain,(
% 0.14/0.39 ![W,U,Z]: ((![V,Y]: ((![X]: (product(X,V,W)|~product(X,Y,U)))|~product(Y,Z,V)))|~product(U,Z,W))),
% 0.14/0.39 inference(miniscoping,[status(thm)],[f6])).
% 0.14/0.39 fof(f40,plain,(
% 0.14/0.39 ![X0,X1,X2,X3,X4,X5]: (product(X0,X1,X2)|~product(X0,X3,X4)|~product(X3,X5,X1)|~product(X4,X5,X2))),
% 0.14/0.39 inference(cnf_transformation,[status(thm)],[f39])).
% 0.14/0.39 fof(f43,plain,(
% 0.14/0.39 ![X0]: (product(multiplicative_identity,X0,X0)|~defined(X0))),
% 0.14/0.39 inference(cnf_transformation,[status(thm)],[f8])).
% 0.14/0.39 fof(f44,plain,(
% 0.14/0.39 ![X0]: (product(multiplicative_inverse(X0),X0,multiplicative_identity)|sum(additive_identity,X0,additive_identity)|~defined(X0))),
% 0.14/0.39 inference(cnf_transformation,[status(thm)],[f9])).
% 0.14/0.39 fof(f45,plain,(
% 0.14/0.39 ![X0,X1,X2]: (product(X0,X1,X2)|~product(X1,X0,X2))),
% 0.14/0.39 inference(cnf_transformation,[status(thm)],[f10])).
% 0.14/0.39 fof(f56,plain,(
% 0.14/0.39 defined(multiplicative_identity)),
% 0.14/0.39 inference(cnf_transformation,[status(thm)],[f17])).
% 0.14/0.39 fof(f71,plain,(
% 0.14/0.39 defined(a)),
% 0.14/0.39 inference(cnf_transformation,[status(thm)],[f27])).
% 0.14/0.39 fof(f73,plain,(
% 0.14/0.39 ~sum(additive_identity,a,additive_identity)),
% 0.14/0.39 inference(cnf_transformation,[status(thm)],[f29])).
% 0.14/0.39 fof(f74,plain,(
% 0.14/0.39 product(multiplicative_identity,a,b)),
% 0.14/0.39 inference(cnf_transformation,[status(thm)],[f30])).
% 0.14/0.39 fof(f75,plain,(
% 0.14/0.39 ~product(b,multiplicative_inverse(a),multiplicative_identity)),
% 0.14/0.39 inference(cnf_transformation,[status(thm)],[f31])).
% 0.14/0.39 fof(f146,definition,(
% 0.14/0.39 sQ11_spl <=> (sum(additive_identity,a,additive_identity))),
% 0.14/0.39 introduced(definition,[new_symbols(definition,[sQ11_spl])],[split_symbol_definition])).
% 0.14/0.39 fof(f147,plain,(
% 0.14/0.39 sum(additive_identity,a,additive_identity)|~sQ11_spl),
% 0.14/0.39 inference(component_clause,[status(thm)],[f146])).
% 0.14/0.39 fof(f169,plain,(
% 0.14/0.39 product(multiplicative_inverse(a),a,multiplicative_identity)|sum(additive_identity,a,additive_identity)),
% 0.14/0.39 inference(resolution,[status(thm)],[f44,f71])).
% 0.14/0.39 fof(f192,definition,(
% 0.14/0.39 sQ21_spl <=> (product(multiplicative_inverse(a),a,multiplicative_identity))),
% 0.14/0.39 introduced(definition,[new_symbols(definition,[sQ21_spl])],[split_symbol_definition])).
% 0.14/0.39 fof(f193,plain,(
% 0.14/0.39 product(multiplicative_inverse(a),a,multiplicative_identity)|~sQ21_spl),
% 0.14/0.39 inference(component_clause,[status(thm)],[f192])).
% 0.14/0.39 fof(f195,plain,(
% 0.14/0.39 sQ21_spl|sQ11_spl),
% 0.14/0.39 inference(split_clause,[status(thm)],[f169,f192,f146])).
% 0.14/0.39 fof(f204,plain,(
% 0.14/0.39 $false|~sQ11_spl),
% 0.14/0.39 inference(forward_subsumption_resolution,[status(thm)],[f147,f73])).
% 0.14/0.39 fof(f205,plain,(
% 0.14/0.39 ~sQ11_spl),
% 0.14/0.39 inference(contradiction_clause,[status(thm)],[f204])).
% 0.14/0.39 fof(f763,plain,(
% 0.14/0.39 product(multiplicative_identity,multiplicative_identity,multiplicative_identity)),
% 0.14/0.39 inference(resolution,[status(thm)],[f43,f56])).
% 0.14/0.39 fof(f765,plain,(
% 0.14/0.39 product(a,multiplicative_identity,b)),
% 0.14/0.40 inference(resolution,[status(thm)],[f45,f74])).
% 0.14/0.40 fof(f774,plain,(
% 0.14/0.40 ![X0,X1,X2]: (product(X0,b,X1)|~product(X0,a,X2)|~product(X2,multiplicative_identity,X1))),
% 0.14/0.40 inference(resolution,[status(thm)],[f765,f40])).
% 0.14/0.40 fof(f1315,plain,(
% 0.14/0.40 ![X0]: (product(X0,b,multiplicative_identity)|~product(X0,a,multiplicative_identity))),
% 0.14/0.40 inference(resolution,[status(thm)],[f763,f774])).
% 0.14/0.40 fof(f1389,plain,(
% 0.14/0.40 product(multiplicative_inverse(a),b,multiplicative_identity)|~sQ21_spl),
% 0.14/0.40 inference(resolution,[status(thm)],[f1315,f193])).
% 0.14/0.40 fof(f1391,plain,(
% 0.14/0.40 product(b,multiplicative_inverse(a),multiplicative_identity)|~sQ21_spl),
% 0.14/0.40 inference(resolution,[status(thm)],[f1389,f45])).
% 0.14/0.40 fof(f1398,plain,(
% 0.14/0.40 $false|~sQ21_spl),
% 0.14/0.40 inference(forward_subsumption_resolution,[status(thm)],[f1391,f75])).
% 0.14/0.40 fof(f1399,plain,(
% 0.14/0.40 ~sQ21_spl),
% 0.14/0.40 inference(contradiction_clause,[status(thm)],[f1398])).
% 0.14/0.40 fof(f1400,plain,(
% 0.14/0.40 $false),
% 0.14/0.40 inference(sat_refutation,[status(thm)],[f195,f205,f1399])).
% 0.14/0.40 % SZS output end CNFRefutation for theBenchmark.p
% 0.14/0.42 % Elapsed time: 0.053735 seconds
% 0.14/0.42 % CPU time: 0.207003 seconds
% 0.14/0.42 % Total memory used: 19.839 MB
% 0.14/0.42 % Net memory used: 19.553 MB
%------------------------------------------------------------------------------