%------------------------------------------------------------------------------
% File : Drodi-SAT---4.1.1
% Problem : FLD036-3 : 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 : n002.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 0.24s 0.80s
% Output : Assurance 0s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.05 % Problem : FLD036-3 : TPTP v9.3.1. Bugfixed v2.1.0.
% 0.00/0.06 % Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.20/0.45 % Computer : n002.cluster.edu
% 0.20/0.45 % Model : x86_64 x86_64
% 0.20/0.45 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.20/0.45 % Memory : 8046.5625MB
% 0.20/0.45 % OS : Linux 6.8.0-71-generic
% 0.20/0.45 % CPULimit : 300
% 0.20/0.45 % WCLimit : 300
% 0.20/0.45 % DateTime : Mon Sep 21 15:42:18 UTC 2026
% 0.20/0.46 % CPUTime :
% 0.20/0.47 % Drodi V4.1.1
% 0.24/0.80 % Refutation found
% 0.24/0.80 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.24/0.80 % SZS output start CNFRefutation for theBenchmark
% 0.24/0.80 fof(f6,axiom,(
% 0.24/0.80 (![X,V,W,Y,U,Z]: (( product(X,V,W)| ~ product(X,Y,U)| ~ product(Y,Z,V)| ~ product(U,Z,W) ) ))),
% 0.24/0.80 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.24/0.80 fof(f7,axiom,(
% 0.24/0.80 (![U,Z,W,X,Y,V]: (( product(U,Z,W)| ~ product(X,Y,U)| ~ product(Y,Z,V)| ~ product(X,V,W) ) ))),
% 0.24/0.80 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.24/0.80 fof(f8,axiom,(
% 0.24/0.80 (![X]: (( product(multiplicative_identity,X,X)| ~ defined(X) ) ))),
% 0.24/0.80 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.24/0.80 fof(f9,axiom,(
% 0.24/0.80 (![X]: (( product(multiplicative_inverse(X),X,multiplicative_identity)| sum(additive_identity,X,additive_identity)| ~ defined(X) ) ))),
% 0.24/0.80 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.24/0.80 fof(f10,axiom,(
% 0.24/0.80 (![Y,X,Z]: (( product(Y,X,Z)| ~ product(X,Y,Z) ) ))),
% 0.24/0.80 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.24/0.80 fof(f28,hypothesis,(
% 0.24/0.80 defined(b) ),
% 0.24/0.80 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.24/0.80 fof(f29,hypothesis,(
% 0.24/0.80 defined(c) ),
% 0.24/0.80 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.24/0.80 fof(f31,negated_conjecture,(
% 0.24/0.80 product(a,c,u) ),
% 0.24/0.80 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.24/0.80 fof(f32,negated_conjecture,(
% 0.24/0.80 product(b,c,u) ),
% 0.24/0.80 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.24/0.80 fof(f33,negated_conjecture,(
% 0.24/0.80 ~ product(multiplicative_identity,a,b) ),
% 0.24/0.80 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.24/0.80 fof(f34,negated_conjecture,(
% 0.24/0.80 ~ sum(additive_identity,c,additive_identity) ),
% 0.24/0.80 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.24/0.80 fof(f42,plain,(
% 0.24/0.80 ![W,U,Z]: ((![V,Y]: ((![X]: (product(X,V,W)|~product(X,Y,U)))|~product(Y,Z,V)))|~product(U,Z,W))),
% 0.24/0.80 inference(miniscoping,[status(thm)],[f6])).
% 0.24/0.80 fof(f43,plain,(
% 0.24/0.80 ![X0,X1,X2,X3,X4,X5]: (product(X0,X1,X2)|~product(X0,X3,X4)|~product(X3,X5,X1)|~product(X4,X5,X2))),
% 0.24/0.80 inference(cnf_transformation,[status(thm)],[f42])).
% 0.24/0.80 fof(f44,plain,(
% 0.24/0.80 ![W,X,V]: ((![Z,Y]: ((![U]: (product(U,Z,W)|~product(X,Y,U)))|~product(Y,Z,V)))|~product(X,V,W))),
% 0.24/0.80 inference(miniscoping,[status(thm)],[f7])).
% 0.24/0.80 fof(f45,plain,(
% 0.24/0.80 ![X0,X1,X2,X3,X4,X5]: (product(X0,X1,X2)|~product(X3,X4,X0)|~product(X4,X1,X5)|~product(X3,X5,X2))),
% 0.24/0.80 inference(cnf_transformation,[status(thm)],[f44])).
% 0.24/0.80 fof(f46,plain,(
% 0.24/0.80 ![X0]: (product(multiplicative_identity,X0,X0)|~defined(X0))),
% 0.24/0.80 inference(cnf_transformation,[status(thm)],[f8])).
% 0.24/0.80 fof(f47,plain,(
% 0.24/0.80 ![X0]: (product(multiplicative_inverse(X0),X0,multiplicative_identity)|sum(additive_identity,X0,additive_identity)|~defined(X0))),
% 0.24/0.80 inference(cnf_transformation,[status(thm)],[f9])).
% 0.24/0.80 fof(f48,plain,(
% 0.24/0.80 ![X0,X1,X2]: (product(X0,X1,X2)|~product(X1,X0,X2))),
% 0.24/0.80 inference(cnf_transformation,[status(thm)],[f10])).
% 0.24/0.80 fof(f75,plain,(
% 0.24/0.80 defined(b)),
% 0.24/0.80 inference(cnf_transformation,[status(thm)],[f28])).
% 0.24/0.80 fof(f76,plain,(
% 0.24/0.80 defined(c)),
% 0.24/0.80 inference(cnf_transformation,[status(thm)],[f29])).
% 0.24/0.80 fof(f78,plain,(
% 0.24/0.80 product(a,c,u)),
% 0.24/0.80 inference(cnf_transformation,[status(thm)],[f31])).
% 0.24/0.80 fof(f79,plain,(
% 0.24/0.80 product(b,c,u)),
% 0.24/0.80 inference(cnf_transformation,[status(thm)],[f32])).
% 0.24/0.80 fof(f80,plain,(
% 0.24/0.80 ~product(multiplicative_identity,a,b)),
% 0.24/0.80 inference(cnf_transformation,[status(thm)],[f33])).
% 0.24/0.80 fof(f81,plain,(
% 0.24/0.80 ~sum(additive_identity,c,additive_identity)),
% 0.24/0.80 inference(cnf_transformation,[status(thm)],[f34])).
% 0.24/0.80 fof(f93,plain,(
% 0.24/0.80 ![X0,X1,X2]: (product(a,X0,X1)|~product(c,X2,X0)|~product(u,X2,X1))),
% 0.24/0.80 inference(resolution,[status(thm)],[f43,f78])).
% 0.24/0.80 fof(f94,plain,(
% 0.24/0.80 ![X0,X1,X2]: (product(u,X0,X1)|~product(c,X0,X2)|~product(b,X2,X1))),
% 0.24/0.80 inference(resolution,[status(thm)],[f45,f79])).
% 0.24/0.80 fof(f97,plain,(
% 0.24/0.80 product(multiplicative_identity,b,b)),
% 0.24/0.80 inference(resolution,[status(thm)],[f46,f75])).
% 0.24/0.80 fof(f233,plain,(
% 0.24/0.80 product(multiplicative_inverse(c),c,multiplicative_identity)|sum(additive_identity,c,additive_identity)),
% 0.24/0.80 inference(resolution,[status(thm)],[f47,f76])).
% 0.24/0.80 fof(f238,definition,(
% 0.24/0.80 sQ25_spl <=> (product(multiplicative_inverse(c),c,multiplicative_identity))),
% 0.24/0.80 introduced(definition,[new_symbols(definition,[sQ25_spl])],[split_symbol_definition])).
% 0.24/0.81 fof(f239,plain,(
% 0.24/0.81 product(multiplicative_inverse(c),c,multiplicative_identity)|~sQ25_spl),
% 0.24/0.81 inference(component_clause,[status(thm)],[f238])).
% 0.24/0.81 fof(f241,definition,(
% 0.24/0.81 sQ26_spl <=> (sum(additive_identity,c,additive_identity))),
% 0.24/0.81 introduced(definition,[new_symbols(definition,[sQ26_spl])],[split_symbol_definition])).
% 0.24/0.81 fof(f242,plain,(
% 0.24/0.81 sum(additive_identity,c,additive_identity)|~sQ26_spl),
% 0.24/0.81 inference(component_clause,[status(thm)],[f241])).
% 0.24/0.81 fof(f244,plain,(
% 0.24/0.81 sQ25_spl|sQ26_spl),
% 0.24/0.81 inference(split_clause,[status(thm)],[f233,f238,f241])).
% 0.24/0.81 fof(f441,plain,(
% 0.24/0.81 product(b,multiplicative_identity,b)),
% 0.24/0.81 inference(resolution,[status(thm)],[f97,f48])).
% 0.24/0.81 fof(f468,plain,(
% 0.24/0.81 $false|~sQ26_spl),
% 0.24/0.81 inference(forward_subsumption_resolution,[status(thm)],[f242,f81])).
% 0.24/0.81 fof(f469,plain,(
% 0.24/0.81 ~sQ26_spl),
% 0.24/0.81 inference(contradiction_clause,[status(thm)],[f468])).
% 0.24/0.81 fof(f488,plain,(
% 0.24/0.81 product(c,multiplicative_inverse(c),multiplicative_identity)|~sQ25_spl),
% 0.24/0.81 inference(resolution,[status(thm)],[f239,f48])).
% 0.24/0.81 fof(f2917,plain,(
% 0.24/0.81 ![X0]: (product(u,multiplicative_inverse(c),X0)|~product(b,multiplicative_identity,X0)|~sQ25_spl)),
% 0.24/0.81 inference(resolution,[status(thm)],[f488,f94])).
% 0.24/0.81 fof(f2918,plain,(
% 0.24/0.81 ![X0]: (product(a,multiplicative_identity,X0)|~product(u,multiplicative_inverse(c),X0)|~sQ25_spl)),
% 0.24/0.81 inference(resolution,[status(thm)],[f488,f93])).
% 0.24/0.81 fof(f2926,plain,(
% 0.24/0.81 product(u,multiplicative_inverse(c),b)|~sQ25_spl),
% 0.24/0.81 inference(resolution,[status(thm)],[f2917,f441])).
% 0.24/0.81 fof(f2959,plain,(
% 0.24/0.81 product(a,multiplicative_identity,b)|~sQ25_spl),
% 0.24/0.81 inference(resolution,[status(thm)],[f2926,f2918])).
% 0.24/0.81 fof(f2975,plain,(
% 0.24/0.81 product(multiplicative_identity,a,b)|~sQ25_spl),
% 0.24/0.81 inference(resolution,[status(thm)],[f2959,f48])).
% 0.24/0.81 fof(f2979,plain,(
% 0.24/0.81 $false|~sQ25_spl),
% 0.24/0.81 inference(forward_subsumption_resolution,[status(thm)],[f2975,f80])).
% 0.24/0.81 fof(f2980,plain,(
% 0.24/0.81 ~sQ25_spl),
% 0.24/0.81 inference(contradiction_clause,[status(thm)],[f2979])).
% 0.24/0.81 fof(f2981,plain,(
% 0.24/0.81 $false),
% 0.24/0.81 inference(sat_refutation,[status(thm)],[f244,f469,f2980])).
% 0.24/0.81 % SZS output end CNFRefutation for theBenchmark.p
% 0.24/0.82 % Elapsed time: 0.352465 seconds
% 0.24/0.82 % CPU time: 2.201923 seconds
% 0.24/0.82 % Total memory used: 35.507 MB
% 0.24/0.82 % Net memory used: 33.996 MB
%------------------------------------------------------------------------------