%------------------------------------------------------------------------------
% File : Drodi-SAT---4.1.1
% Problem : FLD035-3 : 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 : 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 12:22:22 PM UTC 2026
% Result : Unsatisfiable 0.13s 0.41s
% Output : Assurance 0s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : FLD035-3 : TPTP v9.3.1. Bugfixed v2.1.0.
% 0.00/0.04 % Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.08/0.35 % 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 15:34:43 UTC 2026
% 0.08/0.36 % CPUTime :
% 0.08/0.37 % Drodi V4.1.1
% 0.13/0.41 % Refutation found
% 0.13/0.41 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.13/0.41 % SZS output start CNFRefutation for theBenchmark
% 0.13/0.41 fof(f6,axiom,(
% 0.13/0.41 (![X,V,W,Y,U,Z]: (( product(X,V,W)| ~ product(X,Y,U)| ~ product(Y,Z,V)| ~ product(U,Z,W) ) ))),
% 0.13/0.41 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.13/0.41 fof(f7,axiom,(
% 0.13/0.41 (![U,Z,W,X,Y,V]: (( product(U,Z,W)| ~ product(X,Y,U)| ~ product(Y,Z,V)| ~ product(X,V,W) ) ))),
% 0.13/0.41 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.13/0.41 fof(f8,axiom,(
% 0.13/0.41 (![X]: (( product(multiplicative_identity,X,X)| ~ defined(X) ) ))),
% 0.13/0.41 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.13/0.41 fof(f9,axiom,(
% 0.13/0.41 (![X]: (( product(multiplicative_inverse(X),X,multiplicative_identity)| sum(additive_identity,X,additive_identity)| ~ defined(X) ) ))),
% 0.13/0.41 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.13/0.41 fof(f10,axiom,(
% 0.13/0.41 (![Y,X,Z]: (( product(Y,X,Z)| ~ product(X,Y,Z) ) ))),
% 0.13/0.41 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.13/0.41 fof(f28,hypothesis,(
% 0.13/0.41 defined(b) ),
% 0.13/0.41 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.13/0.41 fof(f29,hypothesis,(
% 0.13/0.41 defined(c) ),
% 0.13/0.41 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.13/0.41 fof(f31,negated_conjecture,(
% 0.13/0.41 product(a,c,u) ),
% 0.13/0.41 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.13/0.41 fof(f32,negated_conjecture,(
% 0.13/0.41 product(b,c,u) ),
% 0.13/0.41 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.13/0.41 fof(f33,negated_conjecture,(
% 0.13/0.41 ~ sum(additive_identity,c,additive_identity) ),
% 0.13/0.41 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.13/0.41 fof(f34,negated_conjecture,(
% 0.13/0.41 ~ product(multiplicative_identity,a,b) ),
% 0.13/0.41 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.13/0.41 fof(f42,plain,(
% 0.13/0.41 ![W,U,Z]: ((![V,Y]: ((![X]: (product(X,V,W)|~product(X,Y,U)))|~product(Y,Z,V)))|~product(U,Z,W))),
% 0.13/0.41 inference(miniscoping,[status(thm)],[f6])).
% 0.13/0.41 fof(f43,plain,(
% 0.13/0.41 ![X0,X1,X2,X3,X4,X5]: (product(X0,X1,X2)|~product(X0,X3,X4)|~product(X3,X5,X1)|~product(X4,X5,X2))),
% 0.13/0.41 inference(cnf_transformation,[status(thm)],[f42])).
% 0.13/0.41 fof(f44,plain,(
% 0.13/0.41 ![W,X,V]: ((![Z,Y]: ((![U]: (product(U,Z,W)|~product(X,Y,U)))|~product(Y,Z,V)))|~product(X,V,W))),
% 0.13/0.41 inference(miniscoping,[status(thm)],[f7])).
% 0.13/0.41 fof(f45,plain,(
% 0.13/0.41 ![X0,X1,X2,X3,X4,X5]: (product(X0,X1,X2)|~product(X3,X4,X0)|~product(X4,X1,X5)|~product(X3,X5,X2))),
% 0.13/0.41 inference(cnf_transformation,[status(thm)],[f44])).
% 0.13/0.41 fof(f46,plain,(
% 0.13/0.41 ![X0]: (product(multiplicative_identity,X0,X0)|~defined(X0))),
% 0.13/0.41 inference(cnf_transformation,[status(thm)],[f8])).
% 0.13/0.41 fof(f47,plain,(
% 0.13/0.41 ![X0]: (product(multiplicative_inverse(X0),X0,multiplicative_identity)|sum(additive_identity,X0,additive_identity)|~defined(X0))),
% 0.13/0.41 inference(cnf_transformation,[status(thm)],[f9])).
% 0.13/0.41 fof(f48,plain,(
% 0.13/0.41 ![X0,X1,X2]: (product(X0,X1,X2)|~product(X1,X0,X2))),
% 0.13/0.41 inference(cnf_transformation,[status(thm)],[f10])).
% 0.13/0.41 fof(f75,plain,(
% 0.13/0.41 defined(b)),
% 0.13/0.41 inference(cnf_transformation,[status(thm)],[f28])).
% 0.13/0.41 fof(f76,plain,(
% 0.13/0.41 defined(c)),
% 0.13/0.41 inference(cnf_transformation,[status(thm)],[f29])).
% 0.13/0.41 fof(f78,plain,(
% 0.13/0.41 product(a,c,u)),
% 0.13/0.41 inference(cnf_transformation,[status(thm)],[f31])).
% 0.13/0.41 fof(f79,plain,(
% 0.13/0.41 product(b,c,u)),
% 0.13/0.41 inference(cnf_transformation,[status(thm)],[f32])).
% 0.13/0.41 fof(f80,plain,(
% 0.13/0.41 ~sum(additive_identity,c,additive_identity)),
% 0.13/0.41 inference(cnf_transformation,[status(thm)],[f33])).
% 0.13/0.41 fof(f81,plain,(
% 0.13/0.41 ~product(multiplicative_identity,a,b)),
% 0.13/0.41 inference(cnf_transformation,[status(thm)],[f34])).
% 0.13/0.41 fof(f527,plain,(
% 0.13/0.41 product(multiplicative_inverse(c),c,multiplicative_identity)|sum(additive_identity,c,additive_identity)),
% 0.13/0.41 inference(resolution,[status(thm)],[f47,f76])).
% 0.13/0.41 fof(f560,definition,(
% 0.13/0.41 sQ89_spl <=> (product(multiplicative_inverse(c),c,multiplicative_identity))),
% 0.13/0.41 introduced(definition,[new_symbols(definition,[sQ89_spl])],[split_symbol_definition])).
% 0.13/0.41 fof(f561,plain,(
% 0.13/0.41 product(multiplicative_inverse(c),c,multiplicative_identity)|~sQ89_spl),
% 0.13/0.41 inference(component_clause,[status(thm)],[f560])).
% 0.13/0.41 fof(f563,definition,(
% 0.13/0.41 sQ90_spl <=> (sum(additive_identity,c,additive_identity))),
% 0.13/0.41 introduced(definition,[new_symbols(definition,[sQ90_spl])],[split_symbol_definition])).
% 0.13/0.41 fof(f564,plain,(
% 0.13/0.41 sum(additive_identity,c,additive_identity)|~sQ90_spl),
% 0.13/0.41 inference(component_clause,[status(thm)],[f563])).
% 0.13/0.41 fof(f566,plain,(
% 0.13/0.41 sQ89_spl|sQ90_spl),
% 0.13/0.41 inference(split_clause,[status(thm)],[f527,f560,f563])).
% 0.13/0.41 fof(f640,plain,(
% 0.13/0.41 $false|~sQ90_spl),
% 0.13/0.41 inference(forward_subsumption_resolution,[status(thm)],[f564,f80])).
% 0.13/0.41 fof(f641,plain,(
% 0.13/0.41 ~sQ90_spl),
% 0.13/0.41 inference(contradiction_clause,[status(thm)],[f640])).
% 0.13/0.41 fof(f1668,plain,(
% 0.13/0.41 product(multiplicative_identity,b,b)),
% 0.13/0.41 inference(resolution,[status(thm)],[f46,f75])).
% 0.13/0.41 fof(f1672,plain,(
% 0.13/0.41 product(c,b,u)),
% 0.13/0.41 inference(resolution,[status(thm)],[f48,f79])).
% 0.13/0.41 fof(f1673,plain,(
% 0.13/0.41 product(c,a,u)),
% 0.13/0.41 inference(resolution,[status(thm)],[f48,f78])).
% 0.13/0.41 fof(f1680,plain,(
% 0.13/0.41 ![X0,X1,X2]: (product(X0,u,X1)|~product(X0,c,X2)|~product(X2,b,X1))),
% 0.13/0.41 inference(resolution,[status(thm)],[f1672,f43])).
% 0.13/0.41 fof(f1683,plain,(
% 0.13/0.41 ![X0,X1,X2]: (product(X0,a,X1)|~product(X2,c,X0)|~product(X2,u,X1))),
% 0.13/0.41 inference(resolution,[status(thm)],[f1673,f45])).
% 0.13/0.41 fof(f2497,plain,(
% 0.13/0.41 ![X0]: (product(multiplicative_identity,a,X0)|~product(multiplicative_inverse(c),u,X0)|~sQ89_spl)),
% 0.13/0.41 inference(resolution,[status(thm)],[f561,f1683])).
% 0.13/0.41 fof(f2498,plain,(
% 0.13/0.41 ![X0]: (product(multiplicative_inverse(c),u,X0)|~product(multiplicative_identity,b,X0)|~sQ89_spl)),
% 0.13/0.41 inference(resolution,[status(thm)],[f561,f1680])).
% 0.13/0.41 fof(f2714,plain,(
% 0.13/0.41 product(multiplicative_inverse(c),u,b)|~sQ89_spl),
% 0.13/0.41 inference(resolution,[status(thm)],[f1668,f2498])).
% 0.13/0.41 fof(f3163,plain,(
% 0.13/0.41 product(multiplicative_identity,a,b)|~sQ89_spl),
% 0.13/0.41 inference(resolution,[status(thm)],[f2714,f2497])).
% 0.13/0.41 fof(f3173,plain,(
% 0.13/0.41 $false|~sQ89_spl),
% 0.13/0.41 inference(forward_subsumption_resolution,[status(thm)],[f3163,f81])).
% 0.13/0.41 fof(f3174,plain,(
% 0.13/0.41 ~sQ89_spl),
% 0.13/0.41 inference(contradiction_clause,[status(thm)],[f3173])).
% 0.13/0.41 fof(f3175,plain,(
% 0.13/0.41 $false),
% 0.13/0.41 inference(sat_refutation,[status(thm)],[f566,f641,f3174])).
% 0.13/0.41 % SZS output end CNFRefutation for theBenchmark.p
% 0.13/0.43 % Elapsed time: 0.067622 seconds
% 0.13/0.43 % CPU time: 0.294946 seconds
% 0.13/0.43 % Total memory used: 21.038 MB
% 0.13/0.43 % Net memory used: 20.715 MB
%------------------------------------------------------------------------------