%------------------------------------------------------------------------------
% File : Drodi-SAT---4.1.1
% Problem : FLD004-1 : 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 : n003.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 12:22:16 PM UTC 2026
% Result : Unsatisfiable 9.69s 1.63s
% Output : Assurance 0s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : FLD004-1 : TPTP v9.3.1. Bugfixed v2.1.0.
% 0.00/0.03 % Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.10/0.34 % Computer : n003.cluster.edu
% 0.10/0.34 % Model : x86_64 x86_64
% 0.10/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.34 % Memory : 8046.5625MB
% 0.10/0.34 % OS : Linux 6.8.0-71-generic
% 0.10/0.34 % CPULimit : 300
% 0.10/0.34 % WCLimit : 300
% 0.10/0.34 % DateTime : Mon Sep 21 15:38:01 UTC 2026
% 0.10/0.35 % CPUTime :
% 0.10/0.36 % Drodi V4.1.1
% 9.69/1.63 % Refutation found
% 9.69/1.63 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 9.69/1.63 % SZS output start CNFRefutation for theBenchmark
% 9.69/1.63 fof(f6,axiom,(
% 9.69/1.63 (![X]: (( equalish(multiply(multiplicative_identity,X),X)| ~ defined(X) ) ))),
% 9.69/1.63 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 9.69/1.63 fof(f7,axiom,(
% 9.69/1.63 (![X]: (( equalish(multiply(X,multiplicative_inverse(X)),multiplicative_identity)| ~ defined(X)| equalish(X,additive_identity) ) ))),
% 9.69/1.63 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 9.69/1.63 fof(f8,axiom,(
% 9.69/1.63 (![X,Y]: (( equalish(multiply(X,Y),multiply(Y,X))| ~ defined(X)| ~ defined(Y) ) ))),
% 9.69/1.63 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 9.69/1.63 fof(f11,axiom,(
% 9.69/1.63 defined(additive_identity) ),
% 9.69/1.63 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 9.69/1.63 fof(f13,axiom,(
% 9.69/1.63 (![X,Y]: (( defined(multiply(X,Y))| ~ defined(X)| ~ defined(Y) ) ))),
% 9.69/1.63 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 9.69/1.63 fof(f14,axiom,(
% 9.69/1.63 defined(multiplicative_identity) ),
% 9.69/1.63 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 9.69/1.63 fof(f15,axiom,(
% 9.69/1.63 (![X]: (( defined(multiplicative_inverse(X))| ~ defined(X)| equalish(X,additive_identity) ) ))),
% 9.69/1.63 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 9.69/1.63 fof(f18,axiom,(
% 9.69/1.63 (![X,Y]: (( less_or_equal(X,Y)| less_or_equal(Y,X)| ~ defined(X)| ~ defined(Y) ) ))),
% 9.69/1.63 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 9.69/1.63 fof(f21,axiom,(
% 9.69/1.63 (![X]: (( equalish(X,X)| ~ defined(X) ) ))),
% 9.69/1.63 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 9.69/1.63 fof(f23,axiom,(
% 9.69/1.63 (![X,Z,Y]: (( equalish(X,Z)| ~ equalish(X,Y)| ~ equalish(Y,Z) ) ))),
% 9.69/1.63 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 9.69/1.63 fof(f25,axiom,(
% 9.69/1.63 (![X,Z,Y]: (( equalish(multiply(X,Z),multiply(Y,Z))| ~ defined(Z)| ~ equalish(X,Y) ) ))),
% 9.69/1.63 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 9.69/1.63 fof(f28,hypothesis,(
% 9.69/1.63 defined(a) ),
% 9.69/1.63 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 9.69/1.63 fof(f29,hypothesis,(
% 9.69/1.63 defined(b) ),
% 9.69/1.63 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 9.69/1.63 fof(f30,negated_conjecture,(
% 9.69/1.63 ~ equalish(b,additive_identity) ),
% 9.69/1.63 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 9.69/1.63 fof(f31,negated_conjecture,(
% 9.69/1.63 ~ equalish(multiply(a,multiply(b,multiplicative_inverse(b))),a) ),
% 9.69/1.63 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 9.69/1.63 fof(f40,plain,(
% 9.69/1.63 ![X0]: (equalish(multiply(multiplicative_identity,X0),X0)|~defined(X0))),
% 9.69/1.63 inference(cnf_transformation,[status(thm)],[f6])).
% 9.69/1.63 fof(f41,plain,(
% 9.69/1.63 ![X0]: (equalish(multiply(X0,multiplicative_inverse(X0)),multiplicative_identity)|~defined(X0)|equalish(X0,additive_identity))),
% 9.69/1.63 inference(cnf_transformation,[status(thm)],[f7])).
% 9.69/1.63 fof(f42,plain,(
% 9.69/1.63 ![Y]: ((![X]: (equalish(multiply(X,Y),multiply(Y,X))|~defined(X)))|~defined(Y))),
% 9.69/1.63 inference(miniscoping,[status(thm)],[f8])).
% 9.69/1.63 fof(f43,plain,(
% 9.69/1.63 ![X0,X1]: (equalish(multiply(X0,X1),multiply(X1,X0))|~defined(X0)|~defined(X1))),
% 9.69/1.63 inference(cnf_transformation,[status(thm)],[f42])).
% 9.69/1.63 fof(f48,plain,(
% 9.69/1.63 defined(additive_identity)),
% 9.69/1.63 inference(cnf_transformation,[status(thm)],[f11])).
% 9.69/1.63 fof(f50,plain,(
% 9.69/1.63 ![Y]: ((![X]: (defined(multiply(X,Y))|~defined(X)))|~defined(Y))),
% 9.69/1.63 inference(miniscoping,[status(thm)],[f13])).
% 9.69/1.63 fof(f51,plain,(
% 9.69/1.63 ![X0,X1]: (defined(multiply(X0,X1))|~defined(X0)|~defined(X1))),
% 9.69/1.63 inference(cnf_transformation,[status(thm)],[f50])).
% 9.69/1.63 fof(f52,plain,(
% 9.69/1.63 defined(multiplicative_identity)),
% 9.69/1.63 inference(cnf_transformation,[status(thm)],[f14])).
% 9.69/1.63 fof(f53,plain,(
% 9.69/1.63 ![X0]: (defined(multiplicative_inverse(X0))|~defined(X0)|equalish(X0,additive_identity))),
% 9.69/1.63 inference(cnf_transformation,[status(thm)],[f15])).
% 9.69/1.63 fof(f57,plain,(
% 9.69/1.63 ![Y]: ((![X]: ((less_or_equal(X,Y)|less_or_equal(Y,X))|~defined(X)))|~defined(Y))),
% 9.69/1.63 inference(miniscoping,[status(thm)],[f18])).
% 9.69/1.63 fof(f58,plain,(
% 9.69/1.63 ![X0,X1]: (less_or_equal(X0,X1)|less_or_equal(X1,X0)|~defined(X0)|~defined(X1))),
% 9.69/1.63 inference(cnf_transformation,[status(thm)],[f57])).
% 9.69/1.63 fof(f63,plain,(
% 9.69/1.63 ![X0]: (equalish(X0,X0)|~defined(X0))),
% 9.69/1.63 inference(cnf_transformation,[status(thm)],[f21])).
% 9.69/1.63 fof(f65,plain,(
% 9.69/1.63 ![Z,Y]: ((![X]: (equalish(X,Z)|~equalish(X,Y)))|~equalish(Y,Z))),
% 9.69/1.63 inference(miniscoping,[status(thm)],[f23])).
% 9.69/1.63 fof(f66,plain,(
% 9.69/1.63 ![X0,X1,X2]: (equalish(X0,X1)|~equalish(X0,X2)|~equalish(X2,X1))),
% 9.69/1.63 inference(cnf_transformation,[status(thm)],[f65])).
% 9.69/1.63 fof(f69,plain,(
% 9.69/1.63 ![X,Y]: ((![Z]: (equalish(multiply(X,Z),multiply(Y,Z))|~defined(Z)))|~equalish(X,Y))),
% 9.69/1.63 inference(miniscoping,[status(thm)],[f25])).
% 9.69/1.63 fof(f70,plain,(
% 9.69/1.63 ![X0,X1,X2]: (equalish(multiply(X0,X1),multiply(X2,X1))|~defined(X1)|~equalish(X0,X2))),
% 9.69/1.63 inference(cnf_transformation,[status(thm)],[f69])).
% 9.69/1.63 fof(f74,plain,(
% 9.69/1.63 defined(a)),
% 9.69/1.63 inference(cnf_transformation,[status(thm)],[f28])).
% 9.69/1.63 fof(f75,plain,(
% 9.69/1.63 defined(b)),
% 9.69/1.63 inference(cnf_transformation,[status(thm)],[f29])).
% 9.69/1.63 fof(f76,plain,(
% 9.69/1.63 ~equalish(b,additive_identity)),
% 9.69/1.63 inference(cnf_transformation,[status(thm)],[f30])).
% 9.69/1.63 fof(f77,plain,(
% 9.69/1.63 ~equalish(multiply(a,multiply(b,multiplicative_inverse(b))),a)),
% 9.69/1.63 inference(cnf_transformation,[status(thm)],[f31])).
% 9.69/1.63 fof(f80,plain,(
% 9.69/1.63 ![X0]: (~equalish(multiply(a,multiply(b,multiplicative_inverse(b))),X0)|~equalish(X0,a))),
% 9.69/1.63 inference(resolution,[status(thm)],[f66,f77])).
% 9.69/1.63 fof(f81,plain,(
% 9.69/1.63 ![X0]: (~equalish(b,X0)|~equalish(X0,additive_identity))),
% 9.69/1.63 inference(resolution,[status(thm)],[f66,f76])).
% 9.69/1.63 fof(f87,plain,(
% 9.69/1.63 ![X0,X1]: (~equalish(multiply(a,multiply(b,multiplicative_inverse(b))),X0)|~equalish(X0,X1)|~equalish(X1,a))),
% 9.69/1.63 inference(resolution,[status(thm)],[f80,f66])).
% 9.69/1.63 fof(f93,definition,(
% 9.69/1.63 sQ1_spl <=> (defined(a))),
% 9.69/1.63 introduced(definition,[new_symbols(definition,[sQ1_spl])],[split_symbol_definition])).
% 9.69/1.63 fof(f95,plain,(
% 9.69/1.63 ~defined(a)|sQ1_spl),
% 9.69/1.63 inference(component_clause,[status(thm)],[f93])).
% 9.69/1.63 fof(f101,plain,(
% 9.69/1.63 $false|sQ1_spl),
% 9.69/1.63 inference(forward_subsumption_resolution,[status(thm)],[f95,f74])).
% 9.69/1.63 fof(f102,plain,(
% 9.69/1.63 sQ1_spl),
% 9.69/1.63 inference(contradiction_clause,[status(thm)],[f101])).
% 9.69/1.63 fof(f105,plain,(
% 9.69/1.63 ~equalish(b,additive_identity)|~defined(b)),
% 9.69/1.63 inference(resolution,[status(thm)],[f81,f63])).
% 9.69/1.63 fof(f106,definition,(
% 9.69/1.63 sQ3_spl <=> (equalish(b,additive_identity))),
% 9.69/1.63 introduced(definition,[new_symbols(definition,[sQ3_spl])],[split_symbol_definition])).
% 9.69/1.63 fof(f109,definition,(
% 9.69/1.63 sQ4_spl <=> (defined(b))),
% 9.69/1.63 introduced(definition,[new_symbols(definition,[sQ4_spl])],[split_symbol_definition])).
% 9.69/1.63 fof(f111,plain,(
% 9.69/1.63 ~defined(b)|sQ4_spl),
% 9.69/1.63 inference(component_clause,[status(thm)],[f109])).
% 9.69/1.63 fof(f112,plain,(
% 9.69/1.63 ~sQ3_spl|~sQ4_spl),
% 9.69/1.63 inference(split_clause,[status(thm)],[f105,f106,f109])).
% 9.69/1.63 fof(f126,definition,(
% 9.69/1.63 sQ7_spl <=> (defined(additive_identity))),
% 9.69/1.63 introduced(definition,[new_symbols(definition,[sQ7_spl])],[split_symbol_definition])).
% 9.69/1.63 fof(f128,plain,(
% 9.69/1.63 ~defined(additive_identity)|sQ7_spl),
% 9.69/1.63 inference(component_clause,[status(thm)],[f126])).
% 9.69/1.63 fof(f135,plain,(
% 9.69/1.63 ![X0]: (less_or_equal(X0,multiplicative_identity)|less_or_equal(multiplicative_identity,X0)|~defined(X0))),
% 9.69/1.63 inference(resolution,[status(thm)],[f58,f52])).
% 9.69/1.63 fof(f138,plain,(
% 9.69/1.63 ![X0]: (less_or_equal(X0,additive_identity)|less_or_equal(additive_identity,X0)|~defined(X0))),
% 9.69/1.63 inference(resolution,[status(thm)],[f58,f48])).
% 9.69/1.63 fof(f143,plain,(
% 9.69/1.63 ![X0]: (~equalish(multiply(a,multiply(b,multiplicative_inverse(b))),X0)|~equalish(X0,multiply(multiplicative_identity,a))|~defined(a))),
% 9.69/1.63 inference(resolution,[status(thm)],[f87,f40])).
% 9.69/1.63 fof(f151,definition,(
% 9.69/1.63 ![X0]: (sQ10_spl <=> (~equalish(multiply(a,multiply(b,multiplicative_inverse(b))),X0)|~equalish(X0,multiply(multiplicative_identity,a))))),
% 9.69/1.63 introduced(definition,[new_symbols(definition,[sQ10_spl])],[split_symbol_definition])).
% 9.69/1.63 fof(f152,plain,(
% 9.69/1.63 ![X0]: (~equalish(multiply(a,multiply(b,multiplicative_inverse(b))),X0)|~equalish(X0,multiply(multiplicative_identity,a))|~sQ10_spl)),
% 9.69/1.63 inference(component_clause,[status(thm)],[f151])).
% 9.69/1.63 fof(f154,plain,(
% 9.69/1.63 sQ10_spl|~sQ1_spl),
% 9.69/1.63 inference(split_clause,[status(thm)],[f143,f151,f93])).
% 9.69/1.63 fof(f172,plain,(
% 9.69/1.63 $false|sQ4_spl),
% 9.69/1.63 inference(forward_subsumption_resolution,[status(thm)],[f111,f75])).
% 9.69/1.63 fof(f173,plain,(
% 9.69/1.63 sQ4_spl),
% 9.69/1.63 inference(contradiction_clause,[status(thm)],[f172])).
% 9.69/1.63 fof(f217,plain,(
% 9.69/1.63 $false|sQ7_spl),
% 9.69/1.63 inference(forward_subsumption_resolution,[status(thm)],[f128,f48])).
% 9.69/1.63 fof(f218,plain,(
% 9.69/1.63 sQ7_spl),
% 9.69/1.63 inference(contradiction_clause,[status(thm)],[f217])).
% 9.69/1.63 fof(f260,definition,(
% 9.69/1.63 sQ24_spl <=> (defined(multiplicative_inverse(b)))),
% 9.69/1.63 introduced(definition,[new_symbols(definition,[sQ24_spl])],[split_symbol_definition])).
% 9.69/1.63 fof(f262,plain,(
% 9.69/1.63 ~defined(multiplicative_inverse(b))|sQ24_spl),
% 9.69/1.63 inference(component_clause,[status(thm)],[f260])).
% 9.69/1.63 fof(f267,definition,(
% 9.69/1.63 sQ26_spl <=> (defined(multiply(b,multiplicative_inverse(b))))),
% 9.69/1.63 introduced(definition,[new_symbols(definition,[sQ26_spl])],[split_symbol_definition])).
% 9.69/1.63 fof(f269,plain,(
% 9.69/1.63 ~defined(multiply(b,multiplicative_inverse(b)))|sQ26_spl),
% 9.69/1.63 inference(component_clause,[status(thm)],[f267])).
% 9.69/1.63 fof(f281,plain,(
% 9.69/1.63 ~equalish(multiply(multiply(b,multiplicative_inverse(b)),a),multiply(multiplicative_identity,a))|~defined(a)|~defined(multiply(b,multiplicative_inverse(b)))|~sQ10_spl),
% 9.69/1.63 inference(resolution,[status(thm)],[f152,f43])).
% 9.69/1.63 fof(f293,definition,(
% 9.69/1.63 sQ31_spl <=> (equalish(multiply(multiply(b,multiplicative_inverse(b)),a),multiply(multiplicative_identity,a)))),
% 9.69/1.63 introduced(definition,[new_symbols(definition,[sQ31_spl])],[split_symbol_definition])).
% 9.69/1.63 fof(f295,plain,(
% 9.69/1.63 ~equalish(multiply(multiply(b,multiplicative_inverse(b)),a),multiply(multiplicative_identity,a))|sQ31_spl),
% 9.69/1.63 inference(component_clause,[status(thm)],[f293])).
% 9.69/1.63 fof(f296,plain,(
% 9.69/1.63 ~sQ31_spl|~sQ1_spl|~sQ26_spl|~sQ10_spl),
% 9.69/1.63 inference(split_clause,[status(thm)],[f281,f293,f93,f267,f151])).
% 9.69/1.63 fof(f345,plain,(
% 9.69/1.63 ![X0]: (less_or_equal(X0,a)|less_or_equal(a,X0)|~defined(X0))),
% 9.69/1.63 inference(resolution,[status(thm)],[f74,f58])).
% 9.69/1.63 fof(f484,definition,(
% 9.69/1.63 sQ59_spl <=> (defined(multiplicative_identity))),
% 9.69/1.63 introduced(definition,[new_symbols(definition,[sQ59_spl])],[split_symbol_definition])).
% 9.69/1.63 fof(f486,plain,(
% 9.69/1.63 ~defined(multiplicative_identity)|sQ59_spl),
% 9.69/1.63 inference(component_clause,[status(thm)],[f484])).
% 9.69/1.63 fof(f495,plain,(
% 9.69/1.63 ![X0]: (less_or_equal(X0,b)|less_or_equal(b,X0)|~defined(X0))),
% 9.69/1.63 inference(resolution,[status(thm)],[f75,f58])).
% 9.69/1.63 fof(f517,plain,(
% 9.69/1.63 ~defined(b)|~defined(multiplicative_inverse(b))|sQ26_spl),
% 9.69/1.63 inference(resolution,[status(thm)],[f269,f51])).
% 9.69/1.63 fof(f518,plain,(
% 9.69/1.63 ~sQ4_spl|~sQ24_spl|sQ26_spl),
% 9.69/1.63 inference(split_clause,[status(thm)],[f517,f109,f260,f267])).
% 9.69/1.63 fof(f546,plain,(
% 9.69/1.63 $false|sQ59_spl),
% 9.69/1.63 inference(forward_subsumption_resolution,[status(thm)],[f486,f52])).
% 9.69/1.63 fof(f547,plain,(
% 9.69/1.63 sQ59_spl),
% 9.69/1.63 inference(contradiction_clause,[status(thm)],[f546])).
% 9.69/1.63 fof(f548,plain,(
% 9.69/1.63 ~defined(b)|equalish(b,additive_identity)|sQ24_spl),
% 9.69/1.63 inference(resolution,[status(thm)],[f262,f53])).
% 9.69/1.63 fof(f549,plain,(
% 9.69/1.63 ~sQ4_spl|sQ3_spl|sQ24_spl),
% 9.69/1.63 inference(split_clause,[status(thm)],[f548,f109,f106,f260])).
% 9.69/1.63 fof(f729,plain,(
% 9.69/1.63 less_or_equal(additive_identity,additive_identity)|less_or_equal(additive_identity,additive_identity)),
% 9.69/1.63 inference(resolution,[status(thm)],[f138,f48])).
% 9.69/1.63 fof(f752,definition,(
% 9.69/1.63 sQ102_spl <=> (less_or_equal(additive_identity,additive_identity))),
% 9.69/1.63 introduced(definition,[new_symbols(definition,[sQ102_spl])],[split_symbol_definition])).
% 9.69/1.63 fof(f755,plain,(
% 9.69/1.63 sQ102_spl),
% 9.69/1.63 inference(split_clause,[status(thm)],[f729,f752])).
% 9.69/1.63 fof(f954,plain,(
% 9.69/1.63 less_or_equal(multiplicative_identity,multiplicative_identity)|less_or_equal(multiplicative_identity,multiplicative_identity)),
% 9.69/1.63 inference(resolution,[status(thm)],[f135,f52])).
% 9.69/1.63 fof(f973,definition,(
% 9.69/1.63 sQ131_spl <=> (less_or_equal(multiplicative_identity,multiplicative_identity))),
% 9.69/1.63 introduced(definition,[new_symbols(definition,[sQ131_spl])],[split_symbol_definition])).
% 9.69/1.63 fof(f976,plain,(
% 9.69/1.63 sQ131_spl),
% 9.69/1.63 inference(split_clause,[status(thm)],[f954,f973])).
% 9.69/1.63 fof(f1142,definition,(
% 9.69/1.63 sQ150_spl <=> (equalish(multiply(b,multiplicative_inverse(b)),multiplicative_identity))),
% 9.69/1.63 introduced(definition,[new_symbols(definition,[sQ150_spl])],[split_symbol_definition])).
% 9.69/1.63 fof(f1144,plain,(
% 9.69/1.63 ~equalish(multiply(b,multiplicative_inverse(b)),multiplicative_identity)|sQ150_spl),
% 9.69/1.63 inference(component_clause,[status(thm)],[f1142])).
% 9.69/1.63 fof(f1157,plain,(
% 9.69/1.63 less_or_equal(a,a)|less_or_equal(a,a)),
% 9.69/1.63 inference(resolution,[status(thm)],[f345,f74])).
% 9.69/1.63 fof(f1171,definition,(
% 9.69/1.65 sQ153_spl <=> (less_or_equal(a,a))),
% 9.69/1.65 introduced(definition,[new_symbols(definition,[sQ153_spl])],[split_symbol_definition])).
% 9.69/1.65 fof(f1174,plain,(
% 9.69/1.65 sQ153_spl),
% 9.69/1.65 inference(split_clause,[status(thm)],[f1157,f1171])).
% 9.69/1.65 fof(f1219,plain,(
% 9.69/1.65 ~defined(a)|~equalish(multiply(b,multiplicative_inverse(b)),multiplicative_identity)|sQ31_spl),
% 9.69/1.65 inference(resolution,[status(thm)],[f295,f70])).
% 9.69/1.65 fof(f1222,plain,(
% 9.69/1.65 ~sQ1_spl|~sQ150_spl|sQ31_spl),
% 9.69/1.65 inference(split_clause,[status(thm)],[f1219,f93,f1142,f293])).
% 9.69/1.65 fof(f1296,plain,(
% 9.69/1.65 less_or_equal(b,b)|less_or_equal(b,b)),
% 9.69/1.65 inference(resolution,[status(thm)],[f495,f75])).
% 9.69/1.65 fof(f1304,definition,(
% 9.69/1.65 sQ169_spl <=> (less_or_equal(b,b))),
% 9.69/1.65 introduced(definition,[new_symbols(definition,[sQ169_spl])],[split_symbol_definition])).
% 9.69/1.65 fof(f1307,plain,(
% 9.69/1.65 sQ169_spl),
% 9.69/1.65 inference(split_clause,[status(thm)],[f1296,f1304])).
% 9.69/1.65 fof(f3132,plain,(
% 9.69/1.65 ~defined(b)|equalish(b,additive_identity)|sQ150_spl),
% 9.69/1.65 inference(resolution,[status(thm)],[f1144,f41])).
% 9.69/1.65 fof(f3135,plain,(
% 9.69/1.65 ~sQ4_spl|sQ3_spl|sQ150_spl),
% 9.69/1.65 inference(split_clause,[status(thm)],[f3132,f109,f106,f1142])).
% 9.69/1.65 fof(f3136,plain,(
% 9.69/1.65 $false),
% 9.69/1.65 inference(sat_refutation,[status(thm)],[f102,f112,f154,f173,f218,f296,f518,f547,f549,f755,f976,f1174,f1222,f1307,f3135])).
% 9.69/1.65 % SZS output end CNFRefutation for theBenchmark.p
% 9.69/1.68 % Elapsed time: 1.313316 seconds
% 9.69/1.68 % CPU time: 10.181149 seconds
% 9.69/1.68 % Total memory used: 169.610 MB
% 9.69/1.68 % Net memory used: 159.783 MB
%------------------------------------------------------------------------------