%------------------------------------------------------------------------------
% File : Drodi-SAT---4.1.1
% Problem : FLD058-3 : 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 : n011.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 12:22:27 PM UTC 2026
% Result : Unsatisfiable 0.07s 15.49s
% Output : Assurance 0s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : FLD058-3 : TPTP v9.3.1. Bugfixed v2.1.0.
% 0.00/0.04 % Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.08/0.34 % Computer : n011.cluster.edu
% 0.08/0.34 % Model : x86_64 x86_64
% 0.08/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.34 % Memory : 8046.5625MB
% 0.08/0.34 % OS : Linux 6.8.0-71-generic
% 0.07/15.44 % CPULimit : 300
% 0.07/15.44 % WCLimit : 300
% 0.07/15.44 % DateTime : Mon Sep 21 15:46:24 UTC 2026
% 0.07/15.44 % CPUTime :
% 0.07/15.45 % Drodi V4.1.1
% 0.07/15.49 % Refutation found
% 0.07/15.49 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.07/15.49 % SZS output start CNFRefutation for theBenchmark
% 0.07/15.49 fof(f1,axiom,(
% 0.07/15.49 (![X,V,W,Y,U,Z]: (( sum(X,V,W)| ~ sum(X,Y,U)| ~ sum(Y,Z,V)| ~ sum(U,Z,W) ) ))),
% 0.07/15.49 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.07/15.49 fof(f2,axiom,(
% 0.07/15.49 (![U,Z,W,X,Y,V]: (( sum(U,Z,W)| ~ sum(X,Y,U)| ~ sum(Y,Z,V)| ~ sum(X,V,W) ) ))),
% 0.07/15.49 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.07/15.49 fof(f3,axiom,(
% 0.07/15.49 (![X]: (( sum(additive_identity,X,X)| ~ defined(X) ) ))),
% 0.07/15.49 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.07/15.49 fof(f5,axiom,(
% 0.07/15.49 (![Y,X,Z]: (( sum(Y,X,Z)| ~ sum(X,Y,Z) ) ))),
% 0.07/15.49 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.07/15.49 fof(f14,axiom,(
% 0.07/15.49 defined(additive_identity) ),
% 0.07/15.49 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.07/15.49 fof(f15,axiom,(
% 0.07/15.49 (![X]: (( defined(additive_inverse(X))| ~ defined(X) ) ))),
% 0.07/15.49 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.07/15.49 fof(f17,axiom,(
% 0.07/15.49 defined(multiplicative_identity) ),
% 0.07/15.49 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.07/15.49 fof(f21,axiom,(
% 0.07/15.49 (![X,Y]: (( sum(additive_identity,X,Y)| ~ less_or_equal(X,Y)| ~ less_or_equal(Y,X) ) ))),
% 0.07/15.49 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.07/15.49 fof(f22,axiom,(
% 0.07/15.49 (![X,Z,Y]: (( less_or_equal(X,Z)| ~ less_or_equal(X,Y)| ~ less_or_equal(Y,Z) ) ))),
% 0.07/15.49 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.07/15.49 fof(f23,axiom,(
% 0.07/15.49 (![X,Y]: (( less_or_equal(X,Y)| less_or_equal(Y,X)| ~ defined(X)| ~ defined(Y) ) ))),
% 0.07/15.49 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.07/15.49 fof(f24,axiom,(
% 0.07/15.49 (![U,V,X,Y,Z]: (( less_or_equal(U,V)| ~ less_or_equal(X,Y)| ~ sum(X,Z,U)| ~ sum(Y,Z,V) ) ))),
% 0.07/15.49 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.07/15.49 fof(f27,hypothesis,(
% 0.07/15.49 defined(a) ),
% 0.07/15.49 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.07/15.49 fof(f28,hypothesis,(
% 0.07/15.49 defined(b) ),
% 0.07/15.49 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.07/15.49 fof(f29,negated_conjecture,(
% 0.07/15.49 less_or_equal(additive_identity,a) ),
% 0.07/15.49 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.07/15.49 fof(f30,negated_conjecture,(
% 0.07/15.49 less_or_equal(a,b) ),
% 0.07/15.49 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.07/15.49 fof(f31,negated_conjecture,(
% 0.07/15.49 ~ sum(additive_identity,a,additive_identity) ),
% 0.07/15.49 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.07/15.49 fof(f32,negated_conjecture,(
% 0.07/15.49 sum(additive_identity,b,additive_identity) ),
% 0.07/15.49 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.07/15.49 fof(f33,plain,(
% 0.07/15.49 ![W,U,Z]: ((![V,Y]: ((![X]: (sum(X,V,W)|~sum(X,Y,U)))|~sum(Y,Z,V)))|~sum(U,Z,W))),
% 0.07/15.49 inference(miniscoping,[status(thm)],[f1])).
% 0.07/15.49 fof(f34,plain,(
% 0.07/15.49 ![X0,X1,X2,X3,X4,X5]: (sum(X0,X1,X2)|~sum(X0,X3,X4)|~sum(X3,X5,X1)|~sum(X4,X5,X2))),
% 0.07/15.49 inference(cnf_transformation,[status(thm)],[f33])).
% 0.07/15.49 fof(f35,plain,(
% 0.07/15.49 ![W,X,V]: ((![Z,Y]: ((![U]: (sum(U,Z,W)|~sum(X,Y,U)))|~sum(Y,Z,V)))|~sum(X,V,W))),
% 0.07/15.49 inference(miniscoping,[status(thm)],[f2])).
% 0.07/15.49 fof(f36,plain,(
% 0.07/15.49 ![X0,X1,X2,X3,X4,X5]: (sum(X0,X1,X2)|~sum(X3,X4,X0)|~sum(X4,X1,X5)|~sum(X3,X5,X2))),
% 0.07/15.49 inference(cnf_transformation,[status(thm)],[f35])).
% 0.07/15.49 fof(f37,plain,(
% 0.07/15.49 ![X0]: (sum(additive_identity,X0,X0)|~defined(X0))),
% 0.07/15.49 inference(cnf_transformation,[status(thm)],[f3])).
% 0.07/15.49 fof(f39,plain,(
% 0.07/15.49 ![X0,X1,X2]: (sum(X0,X1,X2)|~sum(X1,X0,X2))),
% 0.07/15.49 inference(cnf_transformation,[status(thm)],[f5])).
% 0.07/15.49 fof(f53,plain,(
% 0.07/15.49 defined(additive_identity)),
% 0.07/15.49 inference(cnf_transformation,[status(thm)],[f14])).
% 0.07/15.49 fof(f54,plain,(
% 0.07/15.49 ![X0]: (defined(additive_inverse(X0))|~defined(X0))),
% 0.07/15.49 inference(cnf_transformation,[status(thm)],[f15])).
% 0.07/15.49 fof(f57,plain,(
% 0.07/15.49 defined(multiplicative_identity)),
% 0.07/15.49 inference(cnf_transformation,[status(thm)],[f17])).
% 0.07/15.49 fof(f63,plain,(
% 0.07/15.49 ![X0,X1]: (sum(additive_identity,X0,X1)|~less_or_equal(X0,X1)|~less_or_equal(X1,X0))),
% 0.07/15.49 inference(cnf_transformation,[status(thm)],[f21])).
% 0.07/15.49 fof(f64,plain,(
% 0.07/15.49 ![Z,Y]: ((![X]: (less_or_equal(X,Z)|~less_or_equal(X,Y)))|~less_or_equal(Y,Z))),
% 0.07/15.49 inference(miniscoping,[status(thm)],[f22])).
% 0.07/15.49 fof(f65,plain,(
% 0.07/15.49 ![X0,X1,X2]: (less_or_equal(X0,X1)|~less_or_equal(X0,X2)|~less_or_equal(X2,X1))),
% 0.07/15.49 inference(cnf_transformation,[status(thm)],[f64])).
% 0.07/15.49 fof(f66,plain,(
% 0.07/15.49 ![Y]: ((![X]: ((less_or_equal(X,Y)|less_or_equal(Y,X))|~defined(X)))|~defined(Y))),
% 0.07/15.49 inference(miniscoping,[status(thm)],[f23])).
% 0.07/15.49 fof(f67,plain,(
% 0.07/15.49 ![X0,X1]: (less_or_equal(X0,X1)|less_or_equal(X1,X0)|~defined(X0)|~defined(X1))),
% 0.07/15.49 inference(cnf_transformation,[status(thm)],[f66])).
% 0.07/15.49 fof(f68,plain,(
% 0.07/15.49 ![V,Y,Z]: ((![U,X]: ((less_or_equal(U,V)|~less_or_equal(X,Y))|~sum(X,Z,U)))|~sum(Y,Z,V))),
% 0.07/15.49 inference(miniscoping,[status(thm)],[f24])).
% 0.07/15.49 fof(f69,plain,(
% 0.07/15.49 ![X0,X1,X2,X3,X4]: (less_or_equal(X0,X1)|~less_or_equal(X2,X3)|~sum(X2,X4,X0)|~sum(X3,X4,X1))),
% 0.07/15.49 inference(cnf_transformation,[status(thm)],[f68])).
% 0.07/15.49 fof(f72,plain,(
% 0.07/15.49 defined(a)),
% 0.07/15.49 inference(cnf_transformation,[status(thm)],[f27])).
% 0.07/15.49 fof(f73,plain,(
% 0.07/15.49 defined(b)),
% 0.07/15.49 inference(cnf_transformation,[status(thm)],[f28])).
% 0.07/15.49 fof(f74,plain,(
% 0.07/15.49 less_or_equal(additive_identity,a)),
% 0.07/15.49 inference(cnf_transformation,[status(thm)],[f29])).
% 0.07/15.49 fof(f75,plain,(
% 0.07/15.49 less_or_equal(a,b)),
% 0.07/15.49 inference(cnf_transformation,[status(thm)],[f30])).
% 0.07/15.49 fof(f76,plain,(
% 0.07/15.49 ~sum(additive_identity,a,additive_identity)),
% 0.07/15.49 inference(cnf_transformation,[status(thm)],[f31])).
% 0.07/15.49 fof(f77,plain,(
% 0.07/15.49 sum(additive_identity,b,additive_identity)),
% 0.07/15.49 inference(cnf_transformation,[status(thm)],[f32])).
% 0.07/15.49 fof(f78,plain,(
% 0.07/15.49 defined(additive_inverse(b))),
% 0.07/15.49 inference(resolution,[status(thm)],[f54,f73])).
% 0.07/15.49 fof(f79,plain,(
% 0.07/15.49 defined(additive_inverse(multiplicative_identity))),
% 0.07/15.49 inference(resolution,[status(thm)],[f54,f57])).
% 0.07/15.49 fof(f80,plain,(
% 0.07/15.49 defined(additive_inverse(a))),
% 0.07/15.49 inference(resolution,[status(thm)],[f54,f72])).
% 0.07/15.49 fof(f81,plain,(
% 0.07/15.49 defined(additive_inverse(additive_identity))),
% 0.07/15.49 inference(resolution,[status(thm)],[f54,f53])).
% 0.07/15.49 fof(f82,plain,(
% 0.07/15.49 sum(additive_identity,b,b)),
% 0.07/15.49 inference(resolution,[status(thm)],[f37,f73])).
% 0.07/15.49 fof(f90,plain,(
% 0.07/15.49 ![X0]: (less_or_equal(X0,b)|less_or_equal(b,X0)|~defined(X0))),
% 0.07/15.49 inference(resolution,[status(thm)],[f67,f73])).
% 0.07/15.49 fof(f93,plain,(
% 0.07/15.49 ![X0]: (less_or_equal(X0,additive_identity)|less_or_equal(additive_identity,X0)|~defined(X0))),
% 0.07/15.49 inference(resolution,[status(thm)],[f67,f53])).
% 0.07/15.49 fof(f94,plain,(
% 0.07/15.49 less_or_equal(b,b)|less_or_equal(b,b)),
% 0.07/15.49 inference(resolution,[status(thm)],[f90,f73])).
% 0.07/15.49 fof(f98,definition,(
% 0.07/15.49 sQ0_spl <=> (less_or_equal(b,b))),
% 0.07/15.49 introduced(definition,[new_symbols(definition,[sQ0_spl])],[split_symbol_definition])).
% 0.07/15.49 fof(f101,plain,(
% 0.07/15.49 sQ0_spl),
% 0.07/15.49 inference(split_clause,[status(thm)],[f94,f98])).
% 0.07/15.49 fof(f112,definition,(
% 0.07/15.49 sQ4_spl <=> (less_or_equal(b,a))),
% 0.07/15.49 introduced(definition,[new_symbols(definition,[sQ4_spl])],[split_symbol_definition])).
% 0.07/15.49 fof(f114,plain,(
% 0.07/15.49 ~less_or_equal(b,a)|sQ4_spl),
% 0.07/15.49 inference(component_clause,[status(thm)],[f112])).
% 0.07/15.49 fof(f119,definition,(
% 0.07/15.49 sQ6_spl <=> (less_or_equal(b,additive_identity))),
% 0.07/15.49 introduced(definition,[new_symbols(definition,[sQ6_spl])],[split_symbol_definition])).
% 0.07/15.49 fof(f120,plain,(
% 0.07/15.49 less_or_equal(b,additive_identity)|~sQ6_spl),
% 0.07/15.49 inference(component_clause,[status(thm)],[f119])).
% 0.07/15.49 fof(f159,definition,(
% 0.07/15.49 sQ14_spl <=> (less_or_equal(a,additive_identity))),
% 0.07/15.49 introduced(definition,[new_symbols(definition,[sQ14_spl])],[split_symbol_definition])).
% 0.07/15.49 fof(f166,plain,(
% 0.07/15.49 less_or_equal(additive_identity,additive_identity)|less_or_equal(additive_identity,additive_identity)),
% 0.07/15.49 inference(resolution,[status(thm)],[f93,f53])).
% 0.07/15.49 fof(f170,definition,(
% 0.07/15.49 sQ15_spl <=> (less_or_equal(additive_identity,additive_identity))),
% 0.07/15.49 introduced(definition,[new_symbols(definition,[sQ15_spl])],[split_symbol_definition])).
% 0.07/15.49 fof(f173,plain,(
% 0.07/15.49 sQ15_spl),
% 0.07/15.49 inference(split_clause,[status(thm)],[f166,f170])).
% 0.07/15.49 fof(f195,definition,(
% 0.07/15.49 sQ21_spl <=> (sum(additive_identity,a,additive_identity))),
% 0.07/15.49 introduced(definition,[new_symbols(definition,[sQ21_spl])],[split_symbol_definition])).
% 0.07/15.49 fof(f196,plain,(
% 0.07/15.49 sum(additive_identity,a,additive_identity)|~sQ21_spl),
% 0.07/15.49 inference(component_clause,[status(thm)],[f195])).
% 0.07/15.49 fof(f226,plain,(
% 0.07/15.49 $false|~sQ21_spl),
% 0.07/15.49 inference(forward_subsumption_resolution,[status(thm)],[f196,f76])).
% 0.07/15.49 fof(f227,plain,(
% 0.07/15.49 ~sQ21_spl),
% 0.07/15.49 inference(contradiction_clause,[status(thm)],[f226])).
% 0.07/15.49 fof(f228,plain,(
% 0.07/15.49 sum(b,additive_identity,additive_identity)),
% 0.07/15.49 inference(resolution,[status(thm)],[f77,f39])).
% 0.07/15.49 fof(f232,plain,(
% 0.07/15.49 ![X0,X1,X2]: (sum(X0,X1,additive_identity)|~sum(X0,X2,additive_identity)|~sum(X2,b,X1))),
% 0.07/15.49 inference(resolution,[status(thm)],[f77,f34])).
% 0.07/15.49 fof(f253,plain,(
% 0.07/15.49 sum(additive_identity,b,a)|~less_or_equal(b,a)),
% 0.07/15.49 inference(resolution,[status(thm)],[f63,f75])).
% 0.07/15.49 fof(f254,plain,(
% 0.07/15.49 sum(additive_identity,a,additive_identity)|~less_or_equal(a,additive_identity)),
% 0.07/15.49 inference(resolution,[status(thm)],[f63,f74])).
% 0.07/15.49 fof(f255,definition,(
% 0.07/15.49 sQ28_spl <=> (sum(additive_identity,b,a))),
% 0.07/15.49 introduced(definition,[new_symbols(definition,[sQ28_spl])],[split_symbol_definition])).
% 0.07/15.49 fof(f256,plain,(
% 0.07/15.49 sum(additive_identity,b,a)|~sQ28_spl),
% 0.07/15.49 inference(component_clause,[status(thm)],[f255])).
% 0.07/15.49 fof(f258,plain,(
% 0.07/15.49 sQ28_spl|~sQ4_spl),
% 0.07/15.49 inference(split_clause,[status(thm)],[f253,f255,f112])).
% 0.07/15.49 fof(f259,plain,(
% 0.07/15.49 sQ21_spl|~sQ14_spl),
% 0.07/15.49 inference(split_clause,[status(thm)],[f254,f195,f159])).
% 0.07/15.49 fof(f362,plain,(
% 0.07/15.49 ![X0]: (less_or_equal(X0,additive_inverse(b))|less_or_equal(additive_inverse(b),X0)|~defined(X0))),
% 0.07/15.49 inference(resolution,[status(thm)],[f78,f67])).
% 0.07/15.49 fof(f411,plain,(
% 0.07/15.49 ![X0]: (less_or_equal(X0,additive_inverse(a))|less_or_equal(additive_inverse(a),X0)|~defined(X0))),
% 0.07/15.49 inference(resolution,[status(thm)],[f80,f67])).
% 0.07/15.49 fof(f455,plain,(
% 0.07/15.49 ![X0]: (less_or_equal(X0,a)|~less_or_equal(X0,additive_identity))),
% 0.07/15.49 inference(resolution,[status(thm)],[f65,f74])).
% 0.07/15.49 fof(f463,plain,(
% 0.07/15.49 ![X0,X1]: (less_or_equal(X0,additive_identity)|~less_or_equal(X1,additive_identity)|~sum(X1,b,X0))),
% 0.07/15.49 inference(resolution,[status(thm)],[f69,f77])).
% 0.07/15.49 fof(f470,plain,(
% 0.07/15.49 ![X0]: (less_or_equal(X0,additive_inverse(multiplicative_identity))|less_or_equal(additive_inverse(multiplicative_identity),X0)|~defined(X0))),
% 0.07/15.49 inference(resolution,[status(thm)],[f79,f67])).
% 0.07/15.49 fof(f519,plain,(
% 0.07/15.49 ![X0]: (less_or_equal(X0,additive_inverse(additive_identity))|less_or_equal(additive_inverse(additive_identity),X0)|~defined(X0))),
% 0.07/15.49 inference(resolution,[status(thm)],[f81,f67])).
% 0.07/15.49 fof(f579,plain,(
% 0.07/15.49 less_or_equal(additive_inverse(b),additive_inverse(b))|less_or_equal(additive_inverse(b),additive_inverse(b))),
% 0.07/15.49 inference(resolution,[status(thm)],[f362,f78])).
% 0.07/15.49 fof(f605,definition,(
% 0.07/15.49 sQ80_spl <=> (less_or_equal(additive_inverse(b),additive_inverse(b)))),
% 0.07/15.49 introduced(definition,[new_symbols(definition,[sQ80_spl])],[split_symbol_definition])).
% 0.07/15.49 fof(f608,plain,(
% 0.07/15.49 sQ80_spl),
% 0.07/15.49 inference(split_clause,[status(thm)],[f579,f605])).
% 0.07/15.49 fof(f615,plain,(
% 0.07/15.49 less_or_equal(additive_inverse(a),additive_inverse(a))|less_or_equal(additive_inverse(a),additive_inverse(a))),
% 0.07/15.49 inference(resolution,[status(thm)],[f411,f80])).
% 0.07/15.49 fof(f635,definition,(
% 0.07/15.49 sQ85_spl <=> (less_or_equal(additive_inverse(a),additive_inverse(a)))),
% 0.07/15.49 introduced(definition,[new_symbols(definition,[sQ85_spl])],[split_symbol_definition])).
% 0.07/15.49 fof(f638,plain,(
% 0.07/15.49 sQ85_spl),
% 0.07/15.49 inference(split_clause,[status(thm)],[f615,f635])).
% 0.07/15.49 fof(f645,plain,(
% 0.07/15.49 less_or_equal(additive_inverse(multiplicative_identity),additive_inverse(multiplicative_identity))|less_or_equal(additive_inverse(multiplicative_identity),additive_inverse(multiplicative_identity))),
% 0.07/15.49 inference(resolution,[status(thm)],[f470,f79])).
% 0.07/15.49 fof(f659,definition,(
% 0.07/15.49 sQ88_spl <=> (less_or_equal(additive_inverse(multiplicative_identity),additive_inverse(multiplicative_identity)))),
% 0.07/15.49 introduced(definition,[new_symbols(definition,[sQ88_spl])],[split_symbol_definition])).
% 0.07/15.49 fof(f662,plain,(
% 0.07/15.49 sQ88_spl),
% 0.07/15.49 inference(split_clause,[status(thm)],[f645,f659])).
% 0.07/15.49 fof(f669,plain,(
% 0.07/15.49 less_or_equal(additive_inverse(additive_identity),additive_inverse(additive_identity))|less_or_equal(additive_inverse(additive_identity),additive_inverse(additive_identity))),
% 0.07/15.49 inference(resolution,[status(thm)],[f519,f81])).
% 0.07/15.49 fof(f677,definition,(
% 0.07/15.49 sQ89_spl <=> (less_or_equal(additive_inverse(additive_identity),additive_inverse(additive_identity)))),
% 0.07/15.49 introduced(definition,[new_symbols(definition,[sQ89_spl])],[split_symbol_definition])).
% 0.07/15.49 fof(f680,plain,(
% 0.07/15.49 sQ89_spl),
% 0.07/15.49 inference(split_clause,[status(thm)],[f669,f677])).
% 0.07/15.49 fof(f691,plain,(
% 0.07/15.49 less_or_equal(a,additive_identity)|~less_or_equal(additive_identity,additive_identity)|~sQ28_spl),
% 0.07/15.50 inference(resolution,[status(thm)],[f463,f256])).
% 0.07/15.50 fof(f695,plain,(
% 0.07/15.50 sQ14_spl|~sQ15_spl|~sQ28_spl),
% 0.07/15.50 inference(split_clause,[status(thm)],[f691,f159,f170,f255])).
% 0.07/15.50 fof(f740,plain,(
% 0.07/15.50 ![X0]: (sum(X0,b,additive_identity)|~sum(X0,additive_identity,additive_identity))),
% 0.07/15.50 inference(resolution,[status(thm)],[f82,f232])).
% 0.07/15.50 fof(f753,plain,(
% 0.07/15.50 sum(b,b,additive_identity)),
% 0.07/15.50 inference(resolution,[status(thm)],[f740,f228])).
% 0.07/15.50 fof(f765,plain,(
% 0.07/15.50 ![X0,X1]: (less_or_equal(X0,additive_identity)|~less_or_equal(X1,b)|~sum(X1,b,X0))),
% 0.07/15.50 inference(resolution,[status(thm)],[f753,f69])).
% 0.07/15.50 fof(f768,plain,(
% 0.07/15.50 ![X0,X1,X2]: (sum(X0,b,X1)|~sum(X2,b,X0)|~sum(X2,additive_identity,X1))),
% 0.07/15.50 inference(resolution,[status(thm)],[f753,f36])).
% 0.07/15.50 fof(f772,plain,(
% 0.07/15.50 ![X0,X1,X2]: (sum(X0,additive_identity,X1)|~sum(X0,b,X2)|~sum(X2,b,X1))),
% 0.07/15.50 inference(resolution,[status(thm)],[f753,f34])).
% 0.07/15.50 fof(f789,plain,(
% 0.07/15.50 ![X0]: (sum(b,b,X0)|~sum(additive_identity,additive_identity,X0))),
% 0.07/15.50 inference(resolution,[status(thm)],[f768,f82])).
% 0.07/15.50 fof(f795,plain,(
% 0.07/15.50 ![X0]: (sum(X0,additive_identity,b)|~sum(X0,b,additive_identity))),
% 0.07/15.50 inference(resolution,[status(thm)],[f772,f82])).
% 0.07/15.50 fof(f798,plain,(
% 0.07/15.50 sum(additive_identity,additive_identity,b)),
% 0.07/15.50 inference(resolution,[status(thm)],[f795,f77])).
% 0.07/15.50 fof(f800,plain,(
% 0.07/15.50 sum(b,b,b)),
% 0.07/15.50 inference(resolution,[status(thm)],[f798,f789])).
% 0.07/15.50 fof(f827,plain,(
% 0.07/15.50 less_or_equal(b,additive_identity)|~less_or_equal(b,b)),
% 0.07/15.50 inference(resolution,[status(thm)],[f800,f765])).
% 0.07/15.50 fof(f843,plain,(
% 0.07/15.50 sQ6_spl|~sQ0_spl),
% 0.07/15.50 inference(split_clause,[status(thm)],[f827,f119,f98])).
% 0.07/15.50 fof(f974,plain,(
% 0.07/15.50 less_or_equal(b,a)|~sQ6_spl),
% 0.07/15.50 inference(resolution,[status(thm)],[f120,f455])).
% 0.07/15.50 fof(f977,plain,(
% 0.07/15.50 $false|sQ4_spl|~sQ6_spl),
% 0.07/15.50 inference(forward_subsumption_resolution,[status(thm)],[f974,f114])).
% 0.07/15.50 fof(f978,plain,(
% 0.07/15.50 sQ4_spl|~sQ6_spl),
% 0.07/15.50 inference(contradiction_clause,[status(thm)],[f977])).
% 0.07/15.50 fof(f979,plain,(
% 0.07/15.50 $false),
% 0.07/15.50 inference(sat_refutation,[status(thm)],[f101,f173,f227,f258,f259,f608,f638,f662,f680,f695,f843,f978])).
% 0.07/15.50 % SZS output end CNFRefutation for theBenchmark.p
% 0.33/15.51 % Elapsed time: 0.070492 seconds
% 0.33/15.51 % CPU time: 0.437731 seconds
% 0.33/15.51 % Total memory used: 23.816 MB
% 0.33/15.51 % Net memory used: 23.435 MB
%------------------------------------------------------------------------------