%------------------------------------------------------------------------------
% File : Drodi-SAT---4.1.1
% Problem : FLD033-3 : 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 : n010.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 0.12s 10.57s
% Output : Assurance 0s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : FLD033-3 : TPTP v9.3.1. Bugfixed v2.1.0.
% 0.00/0.04 % Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.12/10.54 % Computer : n010.cluster.edu
% 0.12/10.54 % Model : x86_64 x86_64
% 0.12/10.54 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/10.54 % Memory : 8046.5625MB
% 0.12/10.54 % OS : Linux 6.8.0-71-generic
% 0.12/10.54 % CPULimit : 300
% 0.12/10.54 % WCLimit : 300
% 0.12/10.54 % DateTime : Mon Sep 21 15:39:35 UTC 2026
% 0.12/10.54 % CPUTime :
% 0.12/10.55 % Drodi V4.1.1
% 0.12/10.57 % Refutation found
% 0.12/10.57 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.12/10.57 % SZS output start CNFRefutation for theBenchmark
% 0.12/10.57 fof(f7,axiom,(
% 0.12/10.57 (![U,Z,W,X,Y,V]: (( product(U,Z,W)| ~ product(X,Y,U)| ~ product(Y,Z,V)| ~ product(X,V,W) ) ))),
% 0.12/10.57 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.12/10.57 fof(f9,axiom,(
% 0.12/10.57 (![X]: (( product(multiplicative_inverse(X),X,multiplicative_identity)| sum(additive_identity,X,additive_identity)| ~ defined(X) ) ))),
% 0.12/10.57 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.12/10.57 fof(f10,axiom,(
% 0.12/10.57 (![Y,X,Z]: (( product(Y,X,Z)| ~ product(X,Y,Z) ) ))),
% 0.12/10.57 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.12/10.57 fof(f27,hypothesis,(
% 0.12/10.57 defined(a) ),
% 0.12/10.57 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.12/10.57 fof(f29,negated_conjecture,(
% 0.12/10.57 ~ sum(additive_identity,a,additive_identity) ),
% 0.12/10.57 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.12/10.57 fof(f30,negated_conjecture,(
% 0.12/10.57 product(m,a,a) ),
% 0.12/10.57 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.12/10.57 fof(f31,negated_conjecture,(
% 0.12/10.57 ~ product(multiplicative_identity,m,multiplicative_identity) ),
% 0.12/10.57 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.12/10.57 fof(f41,plain,(
% 0.12/10.57 ![W,X,V]: ((![Z,Y]: ((![U]: (product(U,Z,W)|~product(X,Y,U)))|~product(Y,Z,V)))|~product(X,V,W))),
% 0.12/10.57 inference(miniscoping,[status(thm)],[f7])).
% 0.12/10.57 fof(f42,plain,(
% 0.12/10.57 ![X0,X1,X2,X3,X4,X5]: (product(X0,X1,X2)|~product(X3,X4,X0)|~product(X4,X1,X5)|~product(X3,X5,X2))),
% 0.12/10.57 inference(cnf_transformation,[status(thm)],[f41])).
% 0.12/10.57 fof(f44,plain,(
% 0.12/10.57 ![X0]: (product(multiplicative_inverse(X0),X0,multiplicative_identity)|sum(additive_identity,X0,additive_identity)|~defined(X0))),
% 0.12/10.57 inference(cnf_transformation,[status(thm)],[f9])).
% 0.12/10.57 fof(f45,plain,(
% 0.12/10.57 ![X0,X1,X2]: (product(X0,X1,X2)|~product(X1,X0,X2))),
% 0.12/10.57 inference(cnf_transformation,[status(thm)],[f10])).
% 0.12/10.57 fof(f71,plain,(
% 0.12/10.57 defined(a)),
% 0.12/10.57 inference(cnf_transformation,[status(thm)],[f27])).
% 0.12/10.57 fof(f73,plain,(
% 0.12/10.57 ~sum(additive_identity,a,additive_identity)),
% 0.12/10.57 inference(cnf_transformation,[status(thm)],[f29])).
% 0.12/10.57 fof(f74,plain,(
% 0.12/10.57 product(m,a,a)),
% 0.12/10.57 inference(cnf_transformation,[status(thm)],[f30])).
% 0.12/10.57 fof(f75,plain,(
% 0.12/10.57 ~product(multiplicative_identity,m,multiplicative_identity)),
% 0.12/10.57 inference(cnf_transformation,[status(thm)],[f31])).
% 0.12/10.57 fof(f143,plain,(
% 0.12/10.57 ![X0,X1,X2]: (~product(X0,X1,multiplicative_identity)|~product(X1,m,X2)|~product(X0,X2,multiplicative_identity))),
% 0.12/10.57 inference(resolution,[status(thm)],[f42,f75])).
% 0.12/10.57 fof(f195,plain,(
% 0.12/10.57 product(a,m,a)),
% 0.12/10.57 inference(resolution,[status(thm)],[f45,f74])).
% 0.12/10.57 fof(f198,plain,(
% 0.12/10.57 ![X0]: (~product(X0,a,multiplicative_identity)|~product(X0,a,multiplicative_identity))),
% 0.12/10.57 inference(resolution,[status(thm)],[f195,f143])).
% 0.12/10.57 fof(f200,plain,(
% 0.12/10.57 ![X0]: (~product(X0,a,multiplicative_identity))),
% 0.12/10.57 inference(duplicate_literals_removal,[status(thm)],[f198])).
% 0.12/10.57 fof(f272,plain,(
% 0.12/10.57 product(multiplicative_inverse(a),a,multiplicative_identity)|sum(additive_identity,a,additive_identity)),
% 0.12/10.57 inference(resolution,[status(thm)],[f44,f71])).
% 0.12/10.57 fof(f282,definition,(
% 0.12/10.57 sQ9_spl <=> (product(multiplicative_inverse(a),a,multiplicative_identity))),
% 0.12/10.57 introduced(definition,[new_symbols(definition,[sQ9_spl])],[split_symbol_definition])).
% 0.12/10.57 fof(f283,plain,(
% 0.12/10.57 product(multiplicative_inverse(a),a,multiplicative_identity)|~sQ9_spl),
% 0.12/10.57 inference(component_clause,[status(thm)],[f282])).
% 0.12/10.57 fof(f285,definition,(
% 0.12/10.57 sQ10_spl <=> (sum(additive_identity,a,additive_identity))),
% 0.12/10.57 introduced(definition,[new_symbols(definition,[sQ10_spl])],[split_symbol_definition])).
% 0.12/10.57 fof(f286,plain,(
% 0.12/10.57 sum(additive_identity,a,additive_identity)|~sQ10_spl),
% 0.12/10.57 inference(component_clause,[status(thm)],[f285])).
% 0.12/10.57 fof(f288,plain,(
% 0.12/10.57 sQ9_spl|sQ10_spl),
% 0.12/10.57 inference(split_clause,[status(thm)],[f272,f282,f285])).
% 0.12/10.57 fof(f303,plain,(
% 0.12/10.57 $false|~sQ9_spl),
% 0.12/10.57 inference(forward_subsumption_resolution,[status(thm)],[f283,f200])).
% 0.12/10.57 fof(f304,plain,(
% 0.12/10.57 ~sQ9_spl),
% 0.12/10.57 inference(contradiction_clause,[status(thm)],[f303])).
% 0.12/10.57 fof(f305,plain,(
% 0.12/10.57 $false|~sQ10_spl),
% 0.12/10.57 inference(forward_subsumption_resolution,[status(thm)],[f286,f73])).
% 0.12/10.57 fof(f306,plain,(
% 0.12/10.57 ~sQ10_spl),
% 0.12/10.57 inference(contradiction_clause,[status(thm)],[f305])).
% 0.12/10.58 fof(f307,plain,(
% 0.12/10.58 $false),
% 0.12/10.58 inference(sat_refutation,[status(thm)],[f288,f304,f306])).
% 0.12/10.58 % SZS output end CNFRefutation for theBenchmark.p
% 0.16/10.60 % Elapsed time: 0.052108 seconds
% 0.16/10.60 % CPU time: 0.160630 seconds
% 0.16/10.60 % Total memory used: 18.611 MB
% 0.16/10.60 % Net memory used: 18.367 MB
%------------------------------------------------------------------------------