%------------------------------------------------------------------------------
% File : Drodi-SAT---4.1.1
% Problem : FLD028-3 : 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 : 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 12:22:21 PM UTC 2026
% Result : Unsatisfiable 0.18s 0.51s
% Output : Assurance 0s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.04 % Problem : FLD028-3 : TPTP v9.3.1. Bugfixed v2.1.0.
% 0.00/0.06 % Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.18/0.44 % Computer : n018.cluster.edu
% 0.18/0.44 % Model : x86_64 x86_64
% 0.18/0.44 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.18/0.44 % Memory : 8046.5625MB
% 0.18/0.44 % OS : Linux 6.8.0-71-generic
% 0.18/0.44 % CPULimit : 300
% 0.18/0.44 % WCLimit : 300
% 0.18/0.44 % DateTime : Mon Sep 21 15:40:44 UTC 2026
% 0.18/0.44 % CPUTime :
% 0.18/0.46 % Drodi V4.1.1
% 0.18/0.51 % Refutation found
% 0.18/0.51 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.18/0.51 % SZS output start CNFRefutation for theBenchmark
% 0.18/0.51 fof(f6,axiom,(
% 0.18/0.51 (![X,V,W,Y,U,Z]: (( product(X,V,W)| ~ product(X,Y,U)| ~ product(Y,Z,V)| ~ product(U,Z,W) ) ))),
% 0.18/0.51 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.18/0.51 fof(f7,axiom,(
% 0.18/0.51 (![U,Z,W,X,Y,V]: (( product(U,Z,W)| ~ product(X,Y,U)| ~ product(Y,Z,V)| ~ product(X,V,W) ) ))),
% 0.18/0.51 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.18/0.51 fof(f8,axiom,(
% 0.18/0.51 (![X]: (( product(multiplicative_identity,X,X)| ~ defined(X) ) ))),
% 0.18/0.51 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.18/0.51 fof(f9,axiom,(
% 0.18/0.51 (![X]: (( product(multiplicative_inverse(X),X,multiplicative_identity)| sum(additive_identity,X,additive_identity)| ~ defined(X) ) ))),
% 0.18/0.51 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.18/0.51 fof(f27,hypothesis,(
% 0.18/0.51 defined(a) ),
% 0.18/0.51 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.18/0.51 fof(f30,hypothesis,(
% 0.18/0.51 defined(v) ),
% 0.18/0.51 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.18/0.51 fof(f31,negated_conjecture,(
% 0.18/0.51 ~ sum(additive_identity,a,additive_identity) ),
% 0.18/0.51 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.18/0.51 fof(f32,negated_conjecture,(
% 0.18/0.51 product(a,u,b) ),
% 0.18/0.51 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.18/0.51 fof(f33,negated_conjecture,(
% 0.18/0.51 product(a,v,b) ),
% 0.18/0.51 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.18/0.51 fof(f34,negated_conjecture,(
% 0.18/0.51 ~ product(multiplicative_identity,u,v) ),
% 0.18/0.51 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.18/0.51 fof(f42,plain,(
% 0.18/0.51 ![W,U,Z]: ((![V,Y]: ((![X]: (product(X,V,W)|~product(X,Y,U)))|~product(Y,Z,V)))|~product(U,Z,W))),
% 0.18/0.51 inference(miniscoping,[status(thm)],[f6])).
% 0.18/0.51 fof(f43,plain,(
% 0.18/0.51 ![X0,X1,X2,X3,X4,X5]: (product(X0,X1,X2)|~product(X0,X3,X4)|~product(X3,X5,X1)|~product(X4,X5,X2))),
% 0.18/0.51 inference(cnf_transformation,[status(thm)],[f42])).
% 0.18/0.51 fof(f44,plain,(
% 0.18/0.51 ![W,X,V]: ((![Z,Y]: ((![U]: (product(U,Z,W)|~product(X,Y,U)))|~product(Y,Z,V)))|~product(X,V,W))),
% 0.18/0.51 inference(miniscoping,[status(thm)],[f7])).
% 0.18/0.51 fof(f45,plain,(
% 0.18/0.51 ![X0,X1,X2,X3,X4,X5]: (product(X0,X1,X2)|~product(X3,X4,X0)|~product(X4,X1,X5)|~product(X3,X5,X2))),
% 0.18/0.51 inference(cnf_transformation,[status(thm)],[f44])).
% 0.18/0.51 fof(f46,plain,(
% 0.18/0.51 ![X0]: (product(multiplicative_identity,X0,X0)|~defined(X0))),
% 0.18/0.51 inference(cnf_transformation,[status(thm)],[f8])).
% 0.18/0.51 fof(f47,plain,(
% 0.18/0.51 ![X0]: (product(multiplicative_inverse(X0),X0,multiplicative_identity)|sum(additive_identity,X0,additive_identity)|~defined(X0))),
% 0.18/0.51 inference(cnf_transformation,[status(thm)],[f9])).
% 0.18/0.51 fof(f74,plain,(
% 0.18/0.51 defined(a)),
% 0.18/0.51 inference(cnf_transformation,[status(thm)],[f27])).
% 0.18/0.51 fof(f77,plain,(
% 0.18/0.51 defined(v)),
% 0.18/0.51 inference(cnf_transformation,[status(thm)],[f30])).
% 0.18/0.51 fof(f78,plain,(
% 0.18/0.51 ~sum(additive_identity,a,additive_identity)),
% 0.18/0.51 inference(cnf_transformation,[status(thm)],[f31])).
% 0.18/0.51 fof(f79,plain,(
% 0.18/0.51 product(a,u,b)),
% 0.18/0.51 inference(cnf_transformation,[status(thm)],[f32])).
% 0.18/0.51 fof(f80,plain,(
% 0.18/0.51 product(a,v,b)),
% 0.18/0.51 inference(cnf_transformation,[status(thm)],[f33])).
% 0.18/0.51 fof(f81,plain,(
% 0.18/0.51 ~product(multiplicative_identity,u,v)),
% 0.18/0.51 inference(cnf_transformation,[status(thm)],[f34])).
% 0.18/0.51 fof(f529,plain,(
% 0.18/0.51 product(multiplicative_inverse(a),a,multiplicative_identity)|sum(additive_identity,a,additive_identity)),
% 0.18/0.51 inference(resolution,[status(thm)],[f47,f74])).
% 0.18/0.51 fof(f574,definition,(
% 0.18/0.51 sQ93_spl <=> (product(multiplicative_inverse(a),a,multiplicative_identity))),
% 0.18/0.51 introduced(definition,[new_symbols(definition,[sQ93_spl])],[split_symbol_definition])).
% 0.18/0.51 fof(f575,plain,(
% 0.18/0.51 product(multiplicative_inverse(a),a,multiplicative_identity)|~sQ93_spl),
% 0.18/0.51 inference(component_clause,[status(thm)],[f574])).
% 0.18/0.51 fof(f577,definition,(
% 0.18/0.51 sQ94_spl <=> (sum(additive_identity,a,additive_identity))),
% 0.18/0.51 introduced(definition,[new_symbols(definition,[sQ94_spl])],[split_symbol_definition])).
% 0.18/0.51 fof(f578,plain,(
% 0.18/0.51 sum(additive_identity,a,additive_identity)|~sQ94_spl),
% 0.18/0.51 inference(component_clause,[status(thm)],[f577])).
% 0.18/0.51 fof(f580,plain,(
% 0.18/0.51 sQ93_spl|sQ94_spl),
% 0.18/0.51 inference(split_clause,[status(thm)],[f529,f574,f577])).
% 0.18/0.51 fof(f640,plain,(
% 0.18/0.51 $false|~sQ94_spl),
% 0.18/0.51 inference(forward_subsumption_resolution,[status(thm)],[f578,f78])).
% 0.18/0.52 fof(f641,plain,(
% 0.18/0.52 ~sQ94_spl),
% 0.18/0.52 inference(contradiction_clause,[status(thm)],[f640])).
% 0.18/0.52 fof(f1009,plain,(
% 0.18/0.52 ![X0,X1,X2]: (product(X0,b,X1)|~product(X0,a,X2)|~product(X2,v,X1))),
% 0.18/0.52 inference(resolution,[status(thm)],[f43,f80])).
% 0.18/0.52 fof(f1017,plain,(
% 0.18/0.52 ![X0,X1,X2]: (product(X0,u,X1)|~product(X2,a,X0)|~product(X2,b,X1))),
% 0.18/0.52 inference(resolution,[status(thm)],[f45,f79])).
% 0.18/0.52 fof(f1326,plain,(
% 0.18/0.52 product(multiplicative_identity,v,v)),
% 0.18/0.52 inference(resolution,[status(thm)],[f46,f77])).
% 0.18/0.52 fof(f2502,plain,(
% 0.18/0.52 ![X0]: (product(multiplicative_identity,u,X0)|~product(multiplicative_inverse(a),b,X0)|~sQ93_spl)),
% 0.18/0.52 inference(resolution,[status(thm)],[f575,f1017])).
% 0.18/0.52 fof(f2505,plain,(
% 0.18/0.52 ![X0]: (product(multiplicative_inverse(a),b,X0)|~product(multiplicative_identity,v,X0)|~sQ93_spl)),
% 0.18/0.52 inference(resolution,[status(thm)],[f575,f1009])).
% 0.18/0.52 fof(f2513,plain,(
% 0.18/0.52 product(multiplicative_inverse(a),b,v)|~sQ93_spl),
% 0.18/0.52 inference(resolution,[status(thm)],[f1326,f2505])).
% 0.18/0.52 fof(f2527,plain,(
% 0.18/0.52 product(multiplicative_identity,u,v)|~sQ93_spl),
% 0.18/0.52 inference(resolution,[status(thm)],[f2513,f2502])).
% 0.18/0.52 fof(f2535,plain,(
% 0.18/0.52 $false|~sQ93_spl),
% 0.18/0.52 inference(forward_subsumption_resolution,[status(thm)],[f2527,f81])).
% 0.18/0.52 fof(f2536,plain,(
% 0.18/0.52 ~sQ93_spl),
% 0.18/0.52 inference(contradiction_clause,[status(thm)],[f2535])).
% 0.18/0.52 fof(f2537,plain,(
% 0.18/0.52 $false),
% 0.18/0.52 inference(sat_refutation,[status(thm)],[f580,f641,f2536])).
% 0.18/0.52 % SZS output end CNFRefutation for theBenchmark.p
% 0.18/0.55 % Elapsed time: 0.090689 seconds
% 0.18/0.55 % CPU time: 0.417835 seconds
% 0.18/0.55 % Total memory used: 14.712 MB
% 0.18/0.55 % Net memory used: 14.484 MB
%------------------------------------------------------------------------------