%------------------------------------------------------------------------------
% File : Drodi-SAT---4.1.1
% Problem : FLD038-3 : 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 : n018.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 0.10s 0.41s
% Output : Assurance 0s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : FLD038-3 : TPTP v9.3.1. Bugfixed v2.1.0.
% 0.00/0.04 % Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.10/0.37 % Computer : n018.cluster.edu
% 0.10/0.37 % Model : x86_64 x86_64
% 0.10/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.37 % Memory : 8046.5625MB
% 0.10/0.37 % OS : Linux 6.8.0-71-generic
% 0.10/0.37 % CPULimit : 300
% 0.10/0.37 % WCLimit : 300
% 0.10/0.37 % DateTime : Mon Sep 21 15:41:30 UTC 2026
% 0.10/0.37 % CPUTime :
% 0.10/0.38 % Drodi V4.1.1
% 0.10/0.41 % Refutation found
% 0.10/0.41 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.10/0.41 % SZS output start CNFRefutation for theBenchmark
% 0.10/0.41 fof(f6,axiom,(
% 0.10/0.41 (![X,V,W,Y,U,Z]: (( product(X,V,W)| ~ product(X,Y,U)| ~ product(Y,Z,V)| ~ product(U,Z,W) ) ))),
% 0.10/0.41 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.10/0.41 fof(f7,axiom,(
% 0.10/0.41 (![U,Z,W,X,Y,V]: (( product(U,Z,W)| ~ product(X,Y,U)| ~ product(Y,Z,V)| ~ product(X,V,W) ) ))),
% 0.10/0.41 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.10/0.41 fof(f8,axiom,(
% 0.10/0.41 (![X]: (( product(multiplicative_identity,X,X)| ~ defined(X) ) ))),
% 0.10/0.41 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.10/0.41 fof(f9,axiom,(
% 0.10/0.41 (![X]: (( product(multiplicative_inverse(X),X,multiplicative_identity)| sum(additive_identity,X,additive_identity)| ~ defined(X) ) ))),
% 0.10/0.41 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.10/0.41 fof(f10,axiom,(
% 0.10/0.41 (![Y,X,Z]: (( product(Y,X,Z)| ~ product(X,Y,Z) ) ))),
% 0.10/0.41 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.10/0.41 fof(f17,axiom,(
% 0.10/0.41 defined(multiplicative_identity) ),
% 0.10/0.41 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.10/0.41 fof(f27,hypothesis,(
% 0.10/0.41 defined(a) ),
% 0.10/0.41 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.10/0.41 fof(f28,hypothesis,(
% 0.10/0.41 defined(b) ),
% 0.10/0.41 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.10/0.41 fof(f29,negated_conjecture,(
% 0.10/0.41 ~ sum(additive_identity,a,additive_identity) ),
% 0.10/0.41 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.10/0.41 fof(f30,negated_conjecture,(
% 0.10/0.41 product(b,multiplicative_inverse(a),multiplicative_identity) ),
% 0.10/0.41 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.10/0.41 fof(f31,negated_conjecture,(
% 0.10/0.41 ~ product(multiplicative_identity,a,b) ),
% 0.10/0.41 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.10/0.41 fof(f39,plain,(
% 0.10/0.41 ![W,U,Z]: ((![V,Y]: ((![X]: (product(X,V,W)|~product(X,Y,U)))|~product(Y,Z,V)))|~product(U,Z,W))),
% 0.10/0.41 inference(miniscoping,[status(thm)],[f6])).
% 0.10/0.41 fof(f40,plain,(
% 0.10/0.41 ![X0,X1,X2,X3,X4,X5]: (product(X0,X1,X2)|~product(X0,X3,X4)|~product(X3,X5,X1)|~product(X4,X5,X2))),
% 0.10/0.41 inference(cnf_transformation,[status(thm)],[f39])).
% 0.10/0.41 fof(f41,plain,(
% 0.10/0.41 ![W,X,V]: ((![Z,Y]: ((![U]: (product(U,Z,W)|~product(X,Y,U)))|~product(Y,Z,V)))|~product(X,V,W))),
% 0.10/0.41 inference(miniscoping,[status(thm)],[f7])).
% 0.10/0.41 fof(f42,plain,(
% 0.10/0.41 ![X0,X1,X2,X3,X4,X5]: (product(X0,X1,X2)|~product(X3,X4,X0)|~product(X4,X1,X5)|~product(X3,X5,X2))),
% 0.10/0.41 inference(cnf_transformation,[status(thm)],[f41])).
% 0.10/0.41 fof(f43,plain,(
% 0.10/0.41 ![X0]: (product(multiplicative_identity,X0,X0)|~defined(X0))),
% 0.10/0.41 inference(cnf_transformation,[status(thm)],[f8])).
% 0.10/0.41 fof(f44,plain,(
% 0.10/0.41 ![X0]: (product(multiplicative_inverse(X0),X0,multiplicative_identity)|sum(additive_identity,X0,additive_identity)|~defined(X0))),
% 0.10/0.41 inference(cnf_transformation,[status(thm)],[f9])).
% 0.10/0.41 fof(f45,plain,(
% 0.10/0.41 ![X0,X1,X2]: (product(X0,X1,X2)|~product(X1,X0,X2))),
% 0.10/0.41 inference(cnf_transformation,[status(thm)],[f10])).
% 0.10/0.41 fof(f56,plain,(
% 0.10/0.41 defined(multiplicative_identity)),
% 0.10/0.41 inference(cnf_transformation,[status(thm)],[f17])).
% 0.10/0.41 fof(f71,plain,(
% 0.10/0.41 defined(a)),
% 0.10/0.41 inference(cnf_transformation,[status(thm)],[f27])).
% 0.10/0.41 fof(f72,plain,(
% 0.10/0.41 defined(b)),
% 0.10/0.41 inference(cnf_transformation,[status(thm)],[f28])).
% 0.10/0.41 fof(f73,plain,(
% 0.10/0.41 ~sum(additive_identity,a,additive_identity)),
% 0.10/0.41 inference(cnf_transformation,[status(thm)],[f29])).
% 0.10/0.41 fof(f74,plain,(
% 0.10/0.41 product(b,multiplicative_inverse(a),multiplicative_identity)),
% 0.10/0.41 inference(cnf_transformation,[status(thm)],[f30])).
% 0.10/0.41 fof(f75,plain,(
% 0.10/0.41 ~product(multiplicative_identity,a,b)),
% 0.10/0.41 inference(cnf_transformation,[status(thm)],[f31])).
% 0.10/0.41 fof(f88,plain,(
% 0.10/0.41 ![X0,X1,X2]: (product(b,X0,X1)|~product(multiplicative_inverse(a),X2,X0)|~product(multiplicative_identity,X2,X1))),
% 0.10/0.41 inference(resolution,[status(thm)],[f40,f74])).
% 0.10/0.41 fof(f90,plain,(
% 0.10/0.41 product(multiplicative_identity,b,b)),
% 0.10/0.41 inference(resolution,[status(thm)],[f43,f72])).
% 0.10/0.41 fof(f91,plain,(
% 0.10/0.41 product(multiplicative_identity,a,a)),
% 0.10/0.41 inference(resolution,[status(thm)],[f43,f71])).
% 0.10/0.41 fof(f92,plain,(
% 0.10/0.41 product(multiplicative_identity,multiplicative_identity,multiplicative_identity)),
% 0.10/0.41 inference(resolution,[status(thm)],[f43,f56])).
% 0.10/0.41 fof(f94,plain,(
% 0.10/0.41 product(multiplicative_inverse(a),b,multiplicative_identity)),
% 0.10/0.41 inference(resolution,[status(thm)],[f45,f74])).
% 0.10/0.41 fof(f109,definition,(
% 0.10/0.41 sQ3_spl <=> (sum(additive_identity,a,additive_identity))),
% 0.10/0.41 introduced(definition,[new_symbols(definition,[sQ3_spl])],[split_symbol_definition])).
% 0.10/0.41 fof(f110,plain,(
% 0.10/0.41 sum(additive_identity,a,additive_identity)|~sQ3_spl),
% 0.10/0.41 inference(component_clause,[status(thm)],[f109])).
% 0.10/0.41 fof(f128,plain,(
% 0.10/0.41 product(multiplicative_inverse(a),a,multiplicative_identity)|sum(additive_identity,a,additive_identity)),
% 0.10/0.41 inference(resolution,[status(thm)],[f44,f71])).
% 0.10/0.41 fof(f135,definition,(
% 0.10/0.41 sQ9_spl <=> (product(multiplicative_inverse(a),a,multiplicative_identity))),
% 0.10/0.41 introduced(definition,[new_symbols(definition,[sQ9_spl])],[split_symbol_definition])).
% 0.10/0.41 fof(f136,plain,(
% 0.10/0.41 product(multiplicative_inverse(a),a,multiplicative_identity)|~sQ9_spl),
% 0.10/0.41 inference(component_clause,[status(thm)],[f135])).
% 0.10/0.41 fof(f138,plain,(
% 0.10/0.41 sQ9_spl|sQ3_spl),
% 0.10/0.41 inference(split_clause,[status(thm)],[f128,f135,f109])).
% 0.10/0.41 fof(f147,plain,(
% 0.10/0.41 $false|~sQ3_spl),
% 0.10/0.41 inference(forward_subsumption_resolution,[status(thm)],[f110,f73])).
% 0.10/0.41 fof(f148,plain,(
% 0.10/0.41 ~sQ3_spl),
% 0.10/0.41 inference(contradiction_clause,[status(thm)],[f147])).
% 0.10/0.41 fof(f718,plain,(
% 0.10/0.41 ![X0]: (product(b,multiplicative_identity,X0)|~product(multiplicative_identity,a,X0)|~sQ9_spl)),
% 0.10/0.41 inference(resolution,[status(thm)],[f136,f88])).
% 0.10/0.41 fof(f722,plain,(
% 0.10/0.41 product(b,multiplicative_identity,a)|~sQ9_spl),
% 0.10/0.41 inference(resolution,[status(thm)],[f718,f91])).
% 0.10/0.41 fof(f726,plain,(
% 0.10/0.41 product(multiplicative_identity,b,a)|~sQ9_spl),
% 0.10/0.41 inference(resolution,[status(thm)],[f722,f45])).
% 0.10/0.41 fof(f732,plain,(
% 0.10/0.41 ![X0,X1,X2]: (product(a,X0,X1)|~product(b,X0,X2)|~product(multiplicative_identity,X2,X1)|~sQ9_spl)),
% 0.10/0.41 inference(resolution,[status(thm)],[f726,f42])).
% 0.10/0.41 fof(f745,plain,(
% 0.10/0.41 ![X0]: (product(a,multiplicative_inverse(a),X0)|~product(multiplicative_identity,multiplicative_identity,X0)|~sQ9_spl)),
% 0.10/0.41 inference(resolution,[status(thm)],[f732,f74])).
% 0.10/0.41 fof(f749,plain,(
% 0.10/0.41 product(a,multiplicative_inverse(a),multiplicative_identity)|~sQ9_spl),
% 0.10/0.41 inference(resolution,[status(thm)],[f745,f92])).
% 0.10/0.41 fof(f757,plain,(
% 0.10/0.41 ![X0,X1,X2]: (product(a,X0,X1)|~product(multiplicative_inverse(a),X2,X0)|~product(multiplicative_identity,X2,X1)|~sQ9_spl)),
% 0.10/0.41 inference(resolution,[status(thm)],[f749,f40])).
% 0.10/0.41 fof(f1019,plain,(
% 0.10/0.41 ![X0]: (product(a,multiplicative_identity,X0)|~product(multiplicative_identity,b,X0)|~sQ9_spl)),
% 0.10/0.41 inference(resolution,[status(thm)],[f757,f94])).
% 0.10/0.41 fof(f1021,plain,(
% 0.10/0.41 product(a,multiplicative_identity,b)|~sQ9_spl),
% 0.10/0.41 inference(resolution,[status(thm)],[f1019,f90])).
% 0.10/0.41 fof(f1024,plain,(
% 0.10/0.41 product(multiplicative_identity,a,b)|~sQ9_spl),
% 0.10/0.41 inference(resolution,[status(thm)],[f1021,f45])).
% 0.10/0.41 fof(f1027,plain,(
% 0.10/0.41 $false|~sQ9_spl),
% 0.10/0.41 inference(forward_subsumption_resolution,[status(thm)],[f1024,f75])).
% 0.10/0.41 fof(f1028,plain,(
% 0.10/0.41 ~sQ9_spl),
% 0.10/0.41 inference(contradiction_clause,[status(thm)],[f1027])).
% 0.10/0.41 fof(f1029,plain,(
% 0.10/0.41 $false),
% 0.10/0.41 inference(sat_refutation,[status(thm)],[f138,f148,f1028])).
% 0.10/0.41 % SZS output end CNFRefutation for theBenchmark.p
% 0.10/0.44 % Elapsed time: 0.054012 seconds
% 0.10/0.44 % CPU time: 0.155865 seconds
% 0.10/0.44 % Total memory used: 18.792 MB
% 0.10/0.44 % Net memory used: 18.559 MB
%------------------------------------------------------------------------------