%------------------------------------------------------------------------------
% File : Drodi-SAT---4.1.1
% Problem : FLD031-3 : TPTP v9.3.1. Bugfixed v2.1.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% Computer : n013.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 12:22:21 PM UTC 2026
% Result : Unsatisfiable 0.11s 0.42s
% Output : Assurance 0s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : FLD031-3 : TPTP v9.3.1. Bugfixed v2.1.0.
% 0.00/0.04 % Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.11/0.37 % Computer : n013.cluster.edu
% 0.11/0.37 % Model : x86_64 x86_64
% 0.11/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.37 % Memory : 8046.5625MB
% 0.11/0.37 % OS : Linux 6.8.0-71-generic
% 0.11/0.37 % CPULimit : 300
% 0.11/0.37 % WCLimit : 300
% 0.11/0.37 % DateTime : Mon Sep 21 15:38:52 UTC 2026
% 0.11/0.37 % CPUTime :
% 0.11/0.38 % Drodi V4.1.1
% 0.11/0.42 % Refutation found
% 0.11/0.42 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.11/0.42 % SZS output start CNFRefutation for theBenchmark
% 0.11/0.42 fof(f6,axiom,(
% 0.11/0.42 (![X,V,W,Y,U,Z]: (( product(X,V,W)| ~ product(X,Y,U)| ~ product(Y,Z,V)| ~ product(U,Z,W) ) ))),
% 0.11/0.42 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.11/0.42 fof(f8,axiom,(
% 0.11/0.42 (![X]: (( product(multiplicative_identity,X,X)| ~ defined(X) ) ))),
% 0.11/0.42 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.11/0.42 fof(f9,axiom,(
% 0.11/0.42 (![X]: (( product(multiplicative_inverse(X),X,multiplicative_identity)| sum(additive_identity,X,additive_identity)| ~ defined(X) ) ))),
% 0.11/0.42 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.11/0.42 fof(f10,axiom,(
% 0.11/0.42 (![Y,X,Z]: (( product(Y,X,Z)| ~ product(X,Y,Z) ) ))),
% 0.11/0.42 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.11/0.42 fof(f27,hypothesis,(
% 0.11/0.42 defined(a) ),
% 0.11/0.42 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.11/0.42 fof(f28,negated_conjecture,(
% 0.11/0.42 product(multiplicative_identity,a,multiplicative_identity) ),
% 0.11/0.42 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.11/0.42 fof(f29,negated_conjecture,(
% 0.11/0.42 ~ sum(additive_identity,a,additive_identity) ),
% 0.11/0.42 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.11/0.42 fof(f30,negated_conjecture,(
% 0.11/0.42 ~ product(multiplicative_identity,multiplicative_inverse(a),multiplicative_identity) ),
% 0.11/0.42 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.11/0.42 fof(f38,plain,(
% 0.11/0.42 ![W,U,Z]: ((![V,Y]: ((![X]: (product(X,V,W)|~product(X,Y,U)))|~product(Y,Z,V)))|~product(U,Z,W))),
% 0.11/0.42 inference(miniscoping,[status(thm)],[f6])).
% 0.11/0.42 fof(f39,plain,(
% 0.11/0.42 ![X0,X1,X2,X3,X4,X5]: (product(X0,X1,X2)|~product(X0,X3,X4)|~product(X3,X5,X1)|~product(X4,X5,X2))),
% 0.11/0.42 inference(cnf_transformation,[status(thm)],[f38])).
% 0.11/0.42 fof(f42,plain,(
% 0.11/0.42 ![X0]: (product(multiplicative_identity,X0,X0)|~defined(X0))),
% 0.11/0.42 inference(cnf_transformation,[status(thm)],[f8])).
% 0.11/0.42 fof(f43,plain,(
% 0.11/0.42 ![X0]: (product(multiplicative_inverse(X0),X0,multiplicative_identity)|sum(additive_identity,X0,additive_identity)|~defined(X0))),
% 0.11/0.42 inference(cnf_transformation,[status(thm)],[f9])).
% 0.11/0.42 fof(f44,plain,(
% 0.11/0.42 ![X0,X1,X2]: (product(X0,X1,X2)|~product(X1,X0,X2))),
% 0.11/0.42 inference(cnf_transformation,[status(thm)],[f10])).
% 0.11/0.42 fof(f70,plain,(
% 0.11/0.42 defined(a)),
% 0.11/0.42 inference(cnf_transformation,[status(thm)],[f27])).
% 0.11/0.42 fof(f71,plain,(
% 0.11/0.42 product(multiplicative_identity,a,multiplicative_identity)),
% 0.11/0.42 inference(cnf_transformation,[status(thm)],[f28])).
% 0.11/0.42 fof(f72,plain,(
% 0.11/0.42 ~sum(additive_identity,a,additive_identity)),
% 0.11/0.42 inference(cnf_transformation,[status(thm)],[f29])).
% 0.11/0.42 fof(f73,plain,(
% 0.11/0.42 ~product(multiplicative_identity,multiplicative_inverse(a),multiplicative_identity)),
% 0.11/0.42 inference(cnf_transformation,[status(thm)],[f30])).
% 0.11/0.42 fof(f144,definition,(
% 0.11/0.42 sQ11_spl <=> (sum(additive_identity,a,additive_identity))),
% 0.11/0.42 introduced(definition,[new_symbols(definition,[sQ11_spl])],[split_symbol_definition])).
% 0.11/0.42 fof(f145,plain,(
% 0.11/0.42 sum(additive_identity,a,additive_identity)|~sQ11_spl),
% 0.11/0.42 inference(component_clause,[status(thm)],[f144])).
% 0.11/0.42 fof(f167,plain,(
% 0.11/0.42 product(multiplicative_inverse(a),a,multiplicative_identity)|sum(additive_identity,a,additive_identity)),
% 0.11/0.42 inference(resolution,[status(thm)],[f43,f70])).
% 0.11/0.42 fof(f190,definition,(
% 0.11/0.42 sQ21_spl <=> (product(multiplicative_inverse(a),a,multiplicative_identity))),
% 0.11/0.42 introduced(definition,[new_symbols(definition,[sQ21_spl])],[split_symbol_definition])).
% 0.11/0.42 fof(f191,plain,(
% 0.11/0.42 product(multiplicative_inverse(a),a,multiplicative_identity)|~sQ21_spl),
% 0.11/0.42 inference(component_clause,[status(thm)],[f190])).
% 0.11/0.42 fof(f193,plain,(
% 0.11/0.42 sQ21_spl|sQ11_spl),
% 0.11/0.42 inference(split_clause,[status(thm)],[f167,f190,f144])).
% 0.11/0.42 fof(f202,plain,(
% 0.11/0.42 $false|~sQ11_spl),
% 0.11/0.42 inference(forward_subsumption_resolution,[status(thm)],[f145,f72])).
% 0.11/0.42 fof(f203,plain,(
% 0.11/0.42 ~sQ11_spl),
% 0.11/0.42 inference(contradiction_clause,[status(thm)],[f202])).
% 0.11/0.42 fof(f787,plain,(
% 0.11/0.42 product(multiplicative_identity,a,a)),
% 0.11/0.42 inference(resolution,[status(thm)],[f42,f70])).
% 0.11/0.42 fof(f790,plain,(
% 0.11/0.42 product(a,multiplicative_identity,multiplicative_identity)),
% 0.11/0.42 inference(resolution,[status(thm)],[f44,f71])).
% 0.11/0.42 fof(f798,plain,(
% 0.11/0.42 ![X0]: (product(X0,multiplicative_identity,multiplicative_identity)|~product(X0,a,a))),
% 0.11/0.43 inference(resolution,[status(thm)],[f790,f39])).
% 0.11/0.43 fof(f801,plain,(
% 0.11/0.43 ![X0,X1,X2]: (product(X0,multiplicative_identity,X1)|~product(X0,a,X2)|~product(X2,multiplicative_identity,X1))),
% 0.11/0.43 inference(resolution,[status(thm)],[f790,f39])).
% 0.11/0.43 fof(f992,plain,(
% 0.11/0.43 product(multiplicative_identity,multiplicative_identity,multiplicative_identity)),
% 0.11/0.43 inference(resolution,[status(thm)],[f787,f798])).
% 0.11/0.43 fof(f1006,plain,(
% 0.11/0.43 ![X0]: (product(X0,multiplicative_identity,multiplicative_identity)|~product(X0,a,multiplicative_identity))),
% 0.11/0.43 inference(resolution,[status(thm)],[f992,f801])).
% 0.11/0.43 fof(f1031,plain,(
% 0.11/0.43 product(multiplicative_inverse(a),multiplicative_identity,multiplicative_identity)|~sQ21_spl),
% 0.11/0.43 inference(resolution,[status(thm)],[f1006,f191])).
% 0.11/0.43 fof(f1454,plain,(
% 0.11/0.43 product(multiplicative_identity,multiplicative_inverse(a),multiplicative_identity)|~sQ21_spl),
% 0.11/0.43 inference(resolution,[status(thm)],[f1031,f44])).
% 0.11/0.43 fof(f1463,plain,(
% 0.11/0.43 $false|~sQ21_spl),
% 0.11/0.43 inference(forward_subsumption_resolution,[status(thm)],[f1454,f73])).
% 0.11/0.43 fof(f1464,plain,(
% 0.11/0.43 ~sQ21_spl),
% 0.11/0.43 inference(contradiction_clause,[status(thm)],[f1463])).
% 0.11/0.43 fof(f1465,plain,(
% 0.11/0.43 $false),
% 0.11/0.43 inference(sat_refutation,[status(thm)],[f193,f203,f1464])).
% 0.11/0.43 % SZS output end CNFRefutation for theBenchmark.p
% 0.11/0.44 % Elapsed time: 0.066952 seconds
% 0.11/0.44 % CPU time: 0.268770 seconds
% 0.11/0.44 % Total memory used: 20.231 MB
% 0.11/0.44 % Net memory used: 19.916 MB
%------------------------------------------------------------------------------