%------------------------------------------------------------------------------
% File : Drodi-SAT---4.1.1
% Problem : FLD041-3 : 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 : n001.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 12:22:23 PM UTC 2026
% Result : Unsatisfiable 0.17s 0.58s
% Output : Assurance 0s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.04 % Problem : FLD041-3 : TPTP v9.3.1. Bugfixed v2.1.0.
% 0.00/0.05 % Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.17/0.42 % Computer : n001.cluster.edu
% 0.17/0.42 % Model : x86_64 x86_64
% 0.17/0.42 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.17/0.42 % Memory : 8046.5625MB
% 0.17/0.42 % OS : Linux 6.8.0-71-generic
% 0.17/0.42 % CPULimit : 300
% 0.17/0.42 % WCLimit : 300
% 0.17/0.42 % DateTime : Mon Sep 21 15:45:15 UTC 2026
% 0.17/0.42 % CPUTime :
% 0.17/0.44 % Drodi V4.1.1
% 0.17/0.58 % Refutation found
% 0.17/0.58 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.17/0.58 % SZS output start CNFRefutation for theBenchmark
% 0.17/0.58 fof(f2,axiom,(
% 0.17/0.58 (![U,Z,W,X,Y,V]: (( sum(U,Z,W)| ~ sum(X,Y,U)| ~ sum(Y,Z,V)| ~ sum(X,V,W) ) ))),
% 0.17/0.58 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.17/0.58 fof(f3,axiom,(
% 0.17/0.58 (![X]: (( sum(additive_identity,X,X)| ~ defined(X) ) ))),
% 0.17/0.58 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.17/0.58 fof(f4,axiom,(
% 0.17/0.58 (![X]: (( sum(additive_inverse(X),X,additive_identity)| ~ defined(X) ) ))),
% 0.17/0.58 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.17/0.58 fof(f7,axiom,(
% 0.17/0.58 (![U,Z,W,X,Y,V]: (( product(U,Z,W)| ~ product(X,Y,U)| ~ product(Y,Z,V)| ~ product(X,V,W) ) ))),
% 0.17/0.58 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.17/0.58 fof(f8,axiom,(
% 0.17/0.58 (![X]: (( product(multiplicative_identity,X,X)| ~ defined(X) ) ))),
% 0.17/0.58 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.17/0.58 fof(f9,axiom,(
% 0.17/0.58 (![X]: (( product(multiplicative_inverse(X),X,multiplicative_identity)| sum(additive_identity,X,additive_identity)| ~ defined(X) ) ))),
% 0.17/0.58 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.17/0.58 fof(f10,axiom,(
% 0.17/0.58 (![Y,X,Z]: (( product(Y,X,Z)| ~ product(X,Y,Z) ) ))),
% 0.17/0.58 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.17/0.58 fof(f11,axiom,(
% 0.17/0.58 (![C,D,B,X,Y,A,Z]: (( sum(C,D,B)| ~ sum(X,Y,A)| ~ product(A,Z,B)| ~ product(X,Z,C)| ~ product(Y,Z,D) ) ))),
% 0.17/0.58 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.17/0.58 fof(f14,axiom,(
% 0.17/0.58 defined(additive_identity) ),
% 0.17/0.58 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.17/0.58 fof(f15,axiom,(
% 0.17/0.58 (![X]: (( defined(additive_inverse(X))| ~ defined(X) ) ))),
% 0.17/0.58 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.17/0.58 fof(f17,axiom,(
% 0.17/0.58 defined(multiplicative_identity) ),
% 0.17/0.58 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.17/0.58 fof(f23,axiom,(
% 0.17/0.58 (![X,Y]: (( less_or_equal(X,Y)| less_or_equal(Y,X)| ~ defined(X)| ~ defined(Y) ) ))),
% 0.17/0.58 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.17/0.58 fof(f26,axiom,(
% 0.17/0.58 ~ sum(additive_identity,additive_identity,multiplicative_identity) ),
% 0.17/0.58 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.17/0.58 fof(f27,hypothesis,(
% 0.17/0.58 defined(a) ),
% 0.17/0.58 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.17/0.58 fof(f28,hypothesis,(
% 0.17/0.58 defined(b) ),
% 0.17/0.58 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.17/0.58 fof(f29,negated_conjecture,(
% 0.17/0.58 ~ sum(additive_identity,a,additive_identity) ),
% 0.17/0.58 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.17/0.58 fof(f30,negated_conjecture,(
% 0.17/0.58 ~ sum(additive_identity,b,additive_identity) ),
% 0.17/0.58 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.17/0.58 fof(f31,negated_conjecture,(
% 0.17/0.58 product(a,b,additive_identity) ),
% 0.17/0.58 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.17/0.58 fof(f34,plain,(
% 0.17/0.58 ![W,X,V]: ((![Z,Y]: ((![U]: (sum(U,Z,W)|~sum(X,Y,U)))|~sum(Y,Z,V)))|~sum(X,V,W))),
% 0.17/0.58 inference(miniscoping,[status(thm)],[f2])).
% 0.17/0.58 fof(f35,plain,(
% 0.17/0.58 ![X0,X1,X2,X3,X4,X5]: (sum(X0,X1,X2)|~sum(X3,X4,X0)|~sum(X4,X1,X5)|~sum(X3,X5,X2))),
% 0.17/0.58 inference(cnf_transformation,[status(thm)],[f34])).
% 0.17/0.58 fof(f36,plain,(
% 0.17/0.58 ![X0]: (sum(additive_identity,X0,X0)|~defined(X0))),
% 0.17/0.58 inference(cnf_transformation,[status(thm)],[f3])).
% 0.17/0.58 fof(f37,plain,(
% 0.17/0.58 ![X0]: (sum(additive_inverse(X0),X0,additive_identity)|~defined(X0))),
% 0.17/0.58 inference(cnf_transformation,[status(thm)],[f4])).
% 0.17/0.58 fof(f41,plain,(
% 0.17/0.58 ![W,X,V]: ((![Z,Y]: ((![U]: (product(U,Z,W)|~product(X,Y,U)))|~product(Y,Z,V)))|~product(X,V,W))),
% 0.17/0.58 inference(miniscoping,[status(thm)],[f7])).
% 0.17/0.58 fof(f42,plain,(
% 0.17/0.58 ![X0,X1,X2,X3,X4,X5]: (product(X0,X1,X2)|~product(X3,X4,X0)|~product(X4,X1,X5)|~product(X3,X5,X2))),
% 0.17/0.58 inference(cnf_transformation,[status(thm)],[f41])).
% 0.17/0.58 fof(f43,plain,(
% 0.17/0.58 ![X0]: (product(multiplicative_identity,X0,X0)|~defined(X0))),
% 0.17/0.58 inference(cnf_transformation,[status(thm)],[f8])).
% 0.17/0.58 fof(f44,plain,(
% 0.17/0.58 ![X0]: (product(multiplicative_inverse(X0),X0,multiplicative_identity)|sum(additive_identity,X0,additive_identity)|~defined(X0))),
% 0.17/0.58 inference(cnf_transformation,[status(thm)],[f9])).
% 0.17/0.58 fof(f45,plain,(
% 0.17/0.58 ![X0,X1,X2]: (product(X0,X1,X2)|~product(X1,X0,X2))),
% 0.17/0.58 inference(cnf_transformation,[status(thm)],[f10])).
% 0.17/0.58 fof(f46,plain,(
% 0.17/0.58 ![D,Y,Z]: ((![C,X]: ((![B,A]: ((sum(C,D,B)|~sum(X,Y,A))|~product(A,Z,B)))|~product(X,Z,C)))|~product(Y,Z,D))),
% 0.17/0.58 inference(miniscoping,[status(thm)],[f11])).
% 0.17/0.58 fof(f47,plain,(
% 0.17/0.58 ![X0,X1,X2,X3,X4,X5,X6]: (sum(X0,X1,X2)|~sum(X3,X4,X5)|~product(X5,X6,X2)|~product(X3,X6,X0)|~product(X4,X6,X1))),
% 0.17/0.58 inference(cnf_transformation,[status(thm)],[f46])).
% 0.17/0.58 fof(f52,plain,(
% 0.17/0.58 defined(additive_identity)),
% 0.17/0.58 inference(cnf_transformation,[status(thm)],[f14])).
% 0.17/0.58 fof(f53,plain,(
% 0.17/0.58 ![X0]: (defined(additive_inverse(X0))|~defined(X0))),
% 0.17/0.58 inference(cnf_transformation,[status(thm)],[f15])).
% 0.17/0.58 fof(f56,plain,(
% 0.17/0.58 defined(multiplicative_identity)),
% 0.17/0.58 inference(cnf_transformation,[status(thm)],[f17])).
% 0.17/0.58 fof(f65,plain,(
% 0.17/0.58 ![Y]: ((![X]: ((less_or_equal(X,Y)|less_or_equal(Y,X))|~defined(X)))|~defined(Y))),
% 0.17/0.58 inference(miniscoping,[status(thm)],[f23])).
% 0.17/0.58 fof(f66,plain,(
% 0.17/0.58 ![X0,X1]: (less_or_equal(X0,X1)|less_or_equal(X1,X0)|~defined(X0)|~defined(X1))),
% 0.17/0.58 inference(cnf_transformation,[status(thm)],[f65])).
% 0.17/0.58 fof(f70,plain,(
% 0.17/0.58 ~sum(additive_identity,additive_identity,multiplicative_identity)),
% 0.17/0.58 inference(cnf_transformation,[status(thm)],[f26])).
% 0.17/0.58 fof(f71,plain,(
% 0.17/0.58 defined(a)),
% 0.17/0.58 inference(cnf_transformation,[status(thm)],[f27])).
% 0.17/0.58 fof(f72,plain,(
% 0.17/0.58 defined(b)),
% 0.17/0.58 inference(cnf_transformation,[status(thm)],[f28])).
% 0.17/0.58 fof(f73,plain,(
% 0.17/0.58 ~sum(additive_identity,a,additive_identity)),
% 0.17/0.58 inference(cnf_transformation,[status(thm)],[f29])).
% 0.17/0.58 fof(f74,plain,(
% 0.17/0.58 ~sum(additive_identity,b,additive_identity)),
% 0.17/0.58 inference(cnf_transformation,[status(thm)],[f30])).
% 0.17/0.58 fof(f75,plain,(
% 0.17/0.58 product(a,b,additive_identity)),
% 0.17/0.58 inference(cnf_transformation,[status(thm)],[f31])).
% 0.17/0.58 fof(f77,plain,(
% 0.17/0.58 sum(additive_identity,additive_identity,additive_identity)),
% 0.17/0.58 inference(resolution,[status(thm)],[f36,f52])).
% 0.17/0.58 fof(f80,plain,(
% 0.17/0.58 defined(additive_inverse(b))),
% 0.17/0.58 inference(resolution,[status(thm)],[f53,f72])).
% 0.17/0.58 fof(f81,plain,(
% 0.17/0.58 defined(additive_inverse(multiplicative_identity))),
% 0.17/0.58 inference(resolution,[status(thm)],[f53,f56])).
% 0.17/0.58 fof(f82,plain,(
% 0.17/0.58 defined(additive_inverse(a))),
% 0.17/0.58 inference(resolution,[status(thm)],[f53,f71])).
% 0.17/0.58 fof(f83,plain,(
% 0.17/0.58 defined(additive_inverse(additive_identity))),
% 0.17/0.58 inference(resolution,[status(thm)],[f53,f52])).
% 0.17/0.58 fof(f84,plain,(
% 0.17/0.58 sum(additive_inverse(b),b,additive_identity)),
% 0.17/0.58 inference(resolution,[status(thm)],[f37,f72])).
% 0.17/0.58 fof(f90,plain,(
% 0.17/0.58 product(multiplicative_identity,b,b)),
% 0.17/0.58 inference(resolution,[status(thm)],[f43,f72])).
% 0.17/0.58 fof(f94,plain,(
% 0.17/0.58 product(b,a,additive_identity)),
% 0.17/0.58 inference(resolution,[status(thm)],[f45,f75])).
% 0.17/0.58 fof(f96,plain,(
% 0.17/0.58 ![X0]: (less_or_equal(multiplicative_identity,X0)|less_or_equal(X0,multiplicative_identity)|~defined(X0))),
% 0.17/0.58 inference(resolution,[status(thm)],[f66,f56])).
% 0.17/0.58 fof(f170,plain,(
% 0.17/0.58 product(multiplicative_inverse(a),a,multiplicative_identity)|sum(additive_identity,a,additive_identity)),
% 0.17/0.58 inference(resolution,[status(thm)],[f44,f71])).
% 0.17/0.58 fof(f175,definition,(
% 0.17/0.58 sQ16_spl <=> (sum(additive_identity,b,additive_identity))),
% 0.17/0.58 introduced(definition,[new_symbols(definition,[sQ16_spl])],[split_symbol_definition])).
% 0.17/0.58 fof(f176,plain,(
% 0.17/0.58 sum(additive_identity,b,additive_identity)|~sQ16_spl),
% 0.17/0.58 inference(component_clause,[status(thm)],[f175])).
% 0.17/0.58 fof(f186,definition,(
% 0.17/0.58 sQ19_spl <=> (product(multiplicative_inverse(a),a,multiplicative_identity))),
% 0.17/0.58 introduced(definition,[new_symbols(definition,[sQ19_spl])],[split_symbol_definition])).
% 0.17/0.58 fof(f187,plain,(
% 0.17/0.58 product(multiplicative_inverse(a),a,multiplicative_identity)|~sQ19_spl),
% 0.17/0.58 inference(component_clause,[status(thm)],[f186])).
% 0.17/0.58 fof(f189,definition,(
% 0.17/0.58 sQ20_spl <=> (sum(additive_identity,a,additive_identity))),
% 0.17/0.58 introduced(definition,[new_symbols(definition,[sQ20_spl])],[split_symbol_definition])).
% 0.17/0.58 fof(f190,plain,(
% 0.17/0.58 sum(additive_identity,a,additive_identity)|~sQ20_spl),
% 0.17/0.58 inference(component_clause,[status(thm)],[f189])).
% 0.17/0.58 fof(f192,plain,(
% 0.17/0.58 sQ19_spl|sQ20_spl),
% 0.17/0.58 inference(split_clause,[status(thm)],[f170,f186,f189])).
% 0.17/0.58 fof(f220,plain,(
% 0.17/0.58 $false|~sQ20_spl),
% 0.17/0.58 inference(forward_subsumption_resolution,[status(thm)],[f190,f73])).
% 0.17/0.58 fof(f221,plain,(
% 0.17/0.58 ~sQ20_spl),
% 0.17/0.58 inference(contradiction_clause,[status(thm)],[f220])).
% 0.17/0.58 fof(f222,plain,(
% 0.17/0.58 $false|~sQ16_spl),
% 0.17/0.58 inference(forward_subsumption_resolution,[status(thm)],[f176,f74])).
% 0.17/0.58 fof(f223,plain,(
% 0.17/0.58 ~sQ16_spl),
% 0.17/0.58 inference(contradiction_clause,[status(thm)],[f222])).
% 0.17/0.58 fof(f225,plain,(
% 0.17/0.58 less_or_equal(multiplicative_identity,multiplicative_identity)|less_or_equal(multiplicative_identity,multiplicative_identity)),
% 0.17/0.58 inference(resolution,[status(thm)],[f96,f56])).
% 0.17/0.58 fof(f229,definition,(
% 0.17/0.58 sQ27_spl <=> (less_or_equal(multiplicative_identity,multiplicative_identity))),
% 0.17/0.58 introduced(definition,[new_symbols(definition,[sQ27_spl])],[split_symbol_definition])).
% 0.17/0.58 fof(f232,plain,(
% 0.17/0.58 sQ27_spl),
% 0.17/0.58 inference(split_clause,[status(thm)],[f225,f229])).
% 0.17/0.58 fof(f238,plain,(
% 0.17/0.58 ![X0,X1,X2]: (product(additive_identity,X0,X1)|~product(a,X0,X2)|~product(b,X2,X1))),
% 0.17/0.58 inference(resolution,[status(thm)],[f94,f42])).
% 0.17/0.58 fof(f248,plain,(
% 0.17/0.58 ![X0]: (less_or_equal(additive_inverse(b),X0)|less_or_equal(X0,additive_inverse(b))|~defined(X0))),
% 0.17/0.58 inference(resolution,[status(thm)],[f80,f66])).
% 0.17/0.58 fof(f251,plain,(
% 0.17/0.58 defined(additive_inverse(additive_inverse(b)))),
% 0.17/0.58 inference(resolution,[status(thm)],[f80,f53])).
% 0.17/0.58 fof(f292,plain,(
% 0.17/0.58 less_or_equal(additive_inverse(b),additive_inverse(b))|less_or_equal(additive_inverse(b),additive_inverse(b))),
% 0.17/0.58 inference(resolution,[status(thm)],[f248,f80])).
% 0.17/0.58 fof(f297,definition,(
% 0.17/0.58 sQ39_spl <=> (less_or_equal(additive_inverse(b),additive_inverse(b)))),
% 0.17/0.58 introduced(definition,[new_symbols(definition,[sQ39_spl])],[split_symbol_definition])).
% 0.17/0.58 fof(f300,plain,(
% 0.17/0.58 sQ39_spl),
% 0.17/0.58 inference(split_clause,[status(thm)],[f292,f297])).
% 0.17/0.58 fof(f312,plain,(
% 0.17/0.58 ![X0]: (less_or_equal(additive_inverse(a),X0)|less_or_equal(X0,additive_inverse(a))|~defined(X0))),
% 0.17/0.58 inference(resolution,[status(thm)],[f82,f66])).
% 0.17/0.58 fof(f315,plain,(
% 0.17/0.58 defined(additive_inverse(additive_inverse(a)))),
% 0.17/0.58 inference(resolution,[status(thm)],[f82,f53])).
% 0.17/0.58 fof(f363,plain,(
% 0.17/0.58 less_or_equal(additive_inverse(a),additive_inverse(a))|less_or_equal(additive_inverse(a),additive_inverse(a))),
% 0.17/0.58 inference(resolution,[status(thm)],[f312,f82])).
% 0.17/0.58 fof(f369,definition,(
% 0.17/0.58 sQ53_spl <=> (less_or_equal(additive_inverse(a),additive_inverse(a)))),
% 0.17/0.58 introduced(definition,[new_symbols(definition,[sQ53_spl])],[split_symbol_definition])).
% 0.17/0.58 fof(f372,plain,(
% 0.17/0.58 sQ53_spl),
% 0.17/0.58 inference(split_clause,[status(thm)],[f363,f369])).
% 0.17/0.58 fof(f386,plain,(
% 0.17/0.58 ![X0]: (less_or_equal(additive_inverse(additive_identity),X0)|less_or_equal(X0,additive_inverse(additive_identity))|~defined(X0))),
% 0.17/0.58 inference(resolution,[status(thm)],[f83,f66])).
% 0.17/0.58 fof(f389,plain,(
% 0.17/0.58 defined(additive_inverse(additive_inverse(additive_identity)))),
% 0.17/0.58 inference(resolution,[status(thm)],[f83,f53])).
% 0.17/0.58 fof(f444,plain,(
% 0.17/0.58 less_or_equal(additive_inverse(additive_identity),additive_inverse(additive_identity))|less_or_equal(additive_inverse(additive_identity),additive_inverse(additive_identity))),
% 0.17/0.58 inference(resolution,[status(thm)],[f386,f83])).
% 0.17/0.58 fof(f451,definition,(
% 0.17/0.58 sQ69_spl <=> (less_or_equal(additive_inverse(additive_identity),additive_inverse(additive_identity)))),
% 0.17/0.58 introduced(definition,[new_symbols(definition,[sQ69_spl])],[split_symbol_definition])).
% 0.17/0.58 fof(f454,plain,(
% 0.17/0.58 sQ69_spl),
% 0.17/0.58 inference(split_clause,[status(thm)],[f444,f451])).
% 0.17/0.58 fof(f467,plain,(
% 0.17/0.58 ![X0,X1,X2,X3]: (sum(X0,X1,X2)|~product(additive_identity,X3,X2)|~product(additive_identity,X3,X0)|~product(additive_identity,X3,X1))),
% 0.17/0.58 inference(resolution,[status(thm)],[f77,f47])).
% 0.17/0.58 fof(f484,plain,(
% 0.17/0.58 ![X0,X1,X2]: (sum(additive_identity,X0,X1)|~sum(b,X0,X2)|~sum(additive_inverse(b),X2,X1))),
% 0.17/0.58 inference(resolution,[status(thm)],[f84,f35])).
% 0.17/0.58 fof(f496,plain,(
% 0.17/0.58 product(b,multiplicative_identity,b)),
% 0.17/0.58 inference(resolution,[status(thm)],[f90,f45])).
% 0.17/0.58 fof(f505,plain,(
% 0.17/0.58 product(a,multiplicative_inverse(a),multiplicative_identity)|~sQ19_spl),
% 0.17/0.58 inference(resolution,[status(thm)],[f187,f45])).
% 0.17/0.58 fof(f718,plain,(
% 0.17/0.58 ![X0]: (less_or_equal(additive_inverse(additive_inverse(b)),X0)|less_or_equal(X0,additive_inverse(additive_inverse(b)))|~defined(X0))),
% 0.17/0.58 inference(resolution,[status(thm)],[f251,f66])).
% 0.17/0.58 fof(f799,plain,(
% 0.17/0.58 less_or_equal(additive_inverse(additive_inverse(b)),additive_inverse(additive_inverse(b)))|less_or_equal(additive_inverse(additive_inverse(b)),additive_inverse(additive_inverse(b)))),
% 0.17/0.58 inference(resolution,[status(thm)],[f718,f251])).
% 0.17/0.58 fof(f809,definition,(
% 0.17/0.58 sQ129_spl <=> (less_or_equal(additive_inverse(additive_inverse(b)),additive_inverse(additive_inverse(b))))),
% 0.17/0.58 introduced(definition,[new_symbols(definition,[sQ129_spl])],[split_symbol_definition])).
% 0.17/0.58 fof(f812,plain,(
% 0.17/0.58 sQ129_spl),
% 0.17/0.58 inference(split_clause,[status(thm)],[f799,f809])).
% 0.17/0.58 fof(f858,plain,(
% 0.17/0.58 ![X0]: (less_or_equal(additive_inverse(additive_inverse(a)),X0)|less_or_equal(X0,additive_inverse(additive_inverse(a)))|~defined(X0))),
% 0.17/0.58 inference(resolution,[status(thm)],[f315,f66])).
% 0.17/0.58 fof(f946,plain,(
% 0.17/0.58 less_or_equal(additive_inverse(additive_inverse(a)),additive_inverse(additive_inverse(a)))|less_or_equal(additive_inverse(additive_inverse(a)),additive_inverse(additive_inverse(a)))),
% 0.17/0.58 inference(resolution,[status(thm)],[f858,f315])).
% 0.17/0.58 fof(f957,definition,(
% 0.17/0.58 sQ153_spl <=> (less_or_equal(additive_inverse(additive_inverse(a)),additive_inverse(additive_inverse(a))))),
% 0.17/0.58 introduced(definition,[new_symbols(definition,[sQ153_spl])],[split_symbol_definition])).
% 0.17/0.58 fof(f960,plain,(
% 0.17/0.58 sQ153_spl),
% 0.17/0.58 inference(split_clause,[status(thm)],[f946,f957])).
% 0.17/0.58 fof(f1000,plain,(
% 0.17/0.58 ![X0]: (less_or_equal(additive_inverse(additive_inverse(additive_identity)),X0)|less_or_equal(X0,additive_inverse(additive_inverse(additive_identity)))|~defined(X0))),
% 0.17/0.58 inference(resolution,[status(thm)],[f389,f66])).
% 0.17/0.58 fof(f1095,plain,(
% 0.17/0.58 less_or_equal(additive_inverse(additive_inverse(additive_identity)),additive_inverse(additive_inverse(additive_identity)))|less_or_equal(additive_inverse(additive_inverse(additive_identity)),additive_inverse(additive_inverse(additive_identity)))),
% 0.17/0.58 inference(resolution,[status(thm)],[f1000,f389])).
% 0.17/0.58 fof(f1107,definition,(
% 0.17/0.58 sQ179_spl <=> (less_or_equal(additive_inverse(additive_inverse(additive_identity)),additive_inverse(additive_inverse(additive_identity))))),
% 0.17/0.58 introduced(definition,[new_symbols(definition,[sQ179_spl])],[split_symbol_definition])).
% 0.17/0.58 fof(f1110,plain,(
% 0.17/0.58 sQ179_spl),
% 0.17/0.58 inference(split_clause,[status(thm)],[f1095,f1107])).
% 0.17/0.58 fof(f1157,plain,(
% 0.17/0.58 ![X0]: (less_or_equal(additive_inverse(multiplicative_identity),X0)|less_or_equal(X0,additive_inverse(multiplicative_identity))|~defined(X0))),
% 0.17/0.58 inference(resolution,[status(thm)],[f81,f66])).
% 0.17/0.58 fof(f1359,definition,(
% 0.17/0.58 sQ214_spl <=> (sum(additive_identity,additive_identity,multiplicative_identity))),
% 0.17/0.58 introduced(definition,[new_symbols(definition,[sQ214_spl])],[split_symbol_definition])).
% 0.17/0.58 fof(f1360,plain,(
% 0.17/0.58 sum(additive_identity,additive_identity,multiplicative_identity)|~sQ214_spl),
% 0.17/0.58 inference(component_clause,[status(thm)],[f1359])).
% 0.17/0.58 fof(f1410,plain,(
% 0.17/0.58 $false|~sQ214_spl),
% 0.17/0.58 inference(forward_subsumption_resolution,[status(thm)],[f1360,f70])).
% 0.17/0.58 fof(f1411,plain,(
% 0.17/0.58 ~sQ214_spl),
% 0.17/0.58 inference(contradiction_clause,[status(thm)],[f1410])).
% 0.17/0.58 fof(f1436,plain,(
% 0.17/0.58 less_or_equal(additive_inverse(multiplicative_identity),additive_inverse(multiplicative_identity))|less_or_equal(additive_inverse(multiplicative_identity),additive_inverse(multiplicative_identity))),
% 0.17/0.58 inference(resolution,[status(thm)],[f1157,f81])).
% 0.17/0.58 fof(f1449,definition,(
% 0.17/0.58 sQ226_spl <=> (less_or_equal(additive_inverse(multiplicative_identity),additive_inverse(multiplicative_identity)))),
% 0.17/0.58 introduced(definition,[new_symbols(definition,[sQ226_spl])],[split_symbol_definition])).
% 0.17/0.58 fof(f1452,plain,(
% 0.17/0.58 sQ226_spl),
% 0.17/0.58 inference(split_clause,[status(thm)],[f1436,f1449])).
% 0.17/0.58 fof(f2385,plain,(
% 0.17/0.58 ![X0]: (product(additive_identity,multiplicative_inverse(a),X0)|~product(b,multiplicative_identity,X0)|~sQ19_spl)),
% 0.17/0.58 inference(resolution,[status(thm)],[f505,f238])).
% 0.17/0.58 fof(f2391,plain,(
% 0.17/0.58 product(additive_identity,multiplicative_inverse(a),b)|~sQ19_spl),
% 0.17/0.58 inference(resolution,[status(thm)],[f2385,f496])).
% 0.17/0.58 fof(f2400,plain,(
% 0.17/0.58 ![X0,X1]: (sum(X0,X1,b)|~product(additive_identity,multiplicative_inverse(a),X0)|~product(additive_identity,multiplicative_inverse(a),X1)|~sQ19_spl)),
% 0.17/0.58 inference(resolution,[status(thm)],[f2391,f467])).
% 0.17/0.59 fof(f2410,plain,(
% 0.17/0.59 ![X0]: (sum(b,X0,b)|~product(additive_identity,multiplicative_inverse(a),X0)|~sQ19_spl)),
% 0.17/0.59 inference(resolution,[status(thm)],[f2400,f2391])).
% 0.17/0.59 fof(f2416,plain,(
% 0.17/0.59 sum(b,b,b)|~sQ19_spl),
% 0.17/0.59 inference(resolution,[status(thm)],[f2410,f2391])).
% 0.17/0.59 fof(f2418,plain,(
% 0.17/0.59 ![X0]: (sum(additive_identity,b,X0)|~sum(additive_inverse(b),b,X0)|~sQ19_spl)),
% 0.17/0.59 inference(resolution,[status(thm)],[f2416,f484])).
% 0.17/0.59 fof(f2444,plain,(
% 0.17/0.59 sum(additive_identity,b,additive_identity)|~sQ19_spl),
% 0.17/0.59 inference(resolution,[status(thm)],[f2418,f84])).
% 0.17/0.59 fof(f2445,plain,(
% 0.17/0.59 sQ16_spl|~sQ19_spl),
% 0.17/0.59 inference(split_clause,[status(thm)],[f2444,f175,f186])).
% 0.17/0.59 fof(f2446,plain,(
% 0.17/0.59 $false),
% 0.17/0.59 inference(sat_refutation,[status(thm)],[f192,f221,f223,f232,f300,f372,f454,f812,f960,f1110,f1411,f1452,f2445])).
% 0.17/0.59 % SZS output end CNFRefutation for theBenchmark.p
% 0.17/0.60 % Elapsed time: 0.168058 seconds
% 0.17/0.60 % CPU time: 0.952319 seconds
% 0.17/0.60 % Total memory used: 28.085 MB
% 0.17/0.60 % Net memory used: 27.328 MB
%------------------------------------------------------------------------------