%------------------------------------------------------------------------------
% File : Drodi-SAT---4.1.1
% Problem : FLD027-3 : 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 : n016.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 12:22:21 PM UTC 2026
% Result : Unsatisfiable 0.11s 15.58s
% Output : Assurance 0s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : FLD027-3 : TPTP v9.3.1. Bugfixed v2.1.0.
% 0.00/0.03 % Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.11/15.54 % Computer : n016.cluster.edu
% 0.11/15.54 % Model : x86_64 x86_64
% 0.11/15.54 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/15.54 % Memory : 8046.5625MB
% 0.11/15.54 % OS : Linux 6.8.0-71-generic
% 0.11/15.54 % CPULimit : 300
% 0.11/15.54 % WCLimit : 300
% 0.11/15.54 % DateTime : Mon Sep 21 15:43:55 UTC 2026
% 0.11/15.54 % CPUTime :
% 0.11/15.55 % Drodi V4.1.1
% 0.11/15.58 % Refutation found
% 0.11/15.58 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.11/15.58 % SZS output start CNFRefutation for theBenchmark
% 0.11/15.58 fof(f6,axiom,(
% 0.11/15.58 (![X,V,W,Y,U,Z]: (( product(X,V,W)| ~ product(X,Y,U)| ~ product(Y,Z,V)| ~ product(U,Z,W) ) ))),
% 0.11/15.58 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.11/15.58 fof(f7,axiom,(
% 0.11/15.58 (![U,Z,W,X,Y,V]: (( product(U,Z,W)| ~ product(X,Y,U)| ~ product(Y,Z,V)| ~ product(X,V,W) ) ))),
% 0.11/15.58 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.11/15.58 fof(f8,axiom,(
% 0.11/15.58 (![X]: (( product(multiplicative_identity,X,X)| ~ defined(X) ) ))),
% 0.11/15.58 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.11/15.58 fof(f9,axiom,(
% 0.11/15.58 (![X]: (( product(multiplicative_inverse(X),X,multiplicative_identity)| sum(additive_identity,X,additive_identity)| ~ defined(X) ) ))),
% 0.11/15.58 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.11/15.58 fof(f10,axiom,(
% 0.11/15.58 (![Y,X,Z]: (( product(Y,X,Z)| ~ product(X,Y,Z) ) ))),
% 0.11/15.58 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.11/15.58 fof(f14,axiom,(
% 0.11/15.58 defined(additive_identity) ),
% 0.11/15.58 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.11/15.58 fof(f15,axiom,(
% 0.11/15.58 (![X]: (( defined(additive_inverse(X))| ~ defined(X) ) ))),
% 0.11/15.58 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.11/15.58 fof(f17,axiom,(
% 0.11/15.58 defined(multiplicative_identity) ),
% 0.11/15.58 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.11/15.58 fof(f23,axiom,(
% 0.11/15.58 (![X,Y]: (( less_or_equal(X,Y)| less_or_equal(Y,X)| ~ defined(X)| ~ defined(Y) ) ))),
% 0.11/15.58 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.11/15.58 fof(f27,hypothesis,(
% 0.11/15.58 defined(a) ),
% 0.11/15.58 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.11/15.58 fof(f28,hypothesis,(
% 0.11/15.58 defined(b) ),
% 0.11/15.58 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.11/15.58 fof(f29,negated_conjecture,(
% 0.11/15.58 ~ sum(additive_identity,a,additive_identity) ),
% 0.11/15.58 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.11/15.58 fof(f30,negated_conjecture,(
% 0.11/15.58 ~ sum(additive_identity,b,additive_identity) ),
% 0.11/15.58 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.11/15.58 fof(f31,negated_conjecture,(
% 0.11/15.58 product(multiplicative_identity,multiplicative_inverse(a),multiplicative_inverse(b)) ),
% 0.11/15.58 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.11/15.58 fof(f32,negated_conjecture,(
% 0.11/15.58 ~ product(multiplicative_identity,a,b) ),
% 0.11/15.58 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.11/15.58 fof(f40,plain,(
% 0.11/15.58 ![W,U,Z]: ((![V,Y]: ((![X]: (product(X,V,W)|~product(X,Y,U)))|~product(Y,Z,V)))|~product(U,Z,W))),
% 0.11/15.58 inference(miniscoping,[status(thm)],[f6])).
% 0.11/15.58 fof(f41,plain,(
% 0.11/15.58 ![X0,X1,X2,X3,X4,X5]: (product(X0,X1,X2)|~product(X0,X3,X4)|~product(X3,X5,X1)|~product(X4,X5,X2))),
% 0.11/15.58 inference(cnf_transformation,[status(thm)],[f40])).
% 0.11/15.58 fof(f42,plain,(
% 0.11/15.58 ![W,X,V]: ((![Z,Y]: ((![U]: (product(U,Z,W)|~product(X,Y,U)))|~product(Y,Z,V)))|~product(X,V,W))),
% 0.11/15.58 inference(miniscoping,[status(thm)],[f7])).
% 0.11/15.58 fof(f43,plain,(
% 0.11/15.58 ![X0,X1,X2,X3,X4,X5]: (product(X0,X1,X2)|~product(X3,X4,X0)|~product(X4,X1,X5)|~product(X3,X5,X2))),
% 0.11/15.58 inference(cnf_transformation,[status(thm)],[f42])).
% 0.11/15.58 fof(f44,plain,(
% 0.11/15.58 ![X0]: (product(multiplicative_identity,X0,X0)|~defined(X0))),
% 0.11/15.58 inference(cnf_transformation,[status(thm)],[f8])).
% 0.11/15.58 fof(f45,plain,(
% 0.11/15.58 ![X0]: (product(multiplicative_inverse(X0),X0,multiplicative_identity)|sum(additive_identity,X0,additive_identity)|~defined(X0))),
% 0.11/15.58 inference(cnf_transformation,[status(thm)],[f9])).
% 0.11/15.58 fof(f46,plain,(
% 0.11/15.58 ![X0,X1,X2]: (product(X0,X1,X2)|~product(X1,X0,X2))),
% 0.11/15.58 inference(cnf_transformation,[status(thm)],[f10])).
% 0.11/15.58 fof(f53,plain,(
% 0.11/15.58 defined(additive_identity)),
% 0.11/15.58 inference(cnf_transformation,[status(thm)],[f14])).
% 0.11/15.58 fof(f54,plain,(
% 0.11/15.58 ![X0]: (defined(additive_inverse(X0))|~defined(X0))),
% 0.11/15.58 inference(cnf_transformation,[status(thm)],[f15])).
% 0.11/15.58 fof(f57,plain,(
% 0.11/15.58 defined(multiplicative_identity)),
% 0.11/15.58 inference(cnf_transformation,[status(thm)],[f17])).
% 0.11/15.58 fof(f66,plain,(
% 0.11/15.58 ![Y]: ((![X]: ((less_or_equal(X,Y)|less_or_equal(Y,X))|~defined(X)))|~defined(Y))),
% 0.11/15.58 inference(miniscoping,[status(thm)],[f23])).
% 0.11/15.58 fof(f67,plain,(
% 0.11/15.58 ![X0,X1]: (less_or_equal(X0,X1)|less_or_equal(X1,X0)|~defined(X0)|~defined(X1))),
% 0.11/15.58 inference(cnf_transformation,[status(thm)],[f66])).
% 0.11/15.58 fof(f72,plain,(
% 0.11/15.58 defined(a)),
% 0.11/15.58 inference(cnf_transformation,[status(thm)],[f27])).
% 0.11/15.58 fof(f73,plain,(
% 0.11/15.58 defined(b)),
% 0.11/15.58 inference(cnf_transformation,[status(thm)],[f28])).
% 0.11/15.58 fof(f74,plain,(
% 0.11/15.58 ~sum(additive_identity,a,additive_identity)),
% 0.11/15.58 inference(cnf_transformation,[status(thm)],[f29])).
% 0.11/15.58 fof(f75,plain,(
% 0.11/15.58 ~sum(additive_identity,b,additive_identity)),
% 0.11/15.58 inference(cnf_transformation,[status(thm)],[f30])).
% 0.11/15.58 fof(f76,plain,(
% 0.11/15.58 product(multiplicative_identity,multiplicative_inverse(a),multiplicative_inverse(b))),
% 0.11/15.58 inference(cnf_transformation,[status(thm)],[f31])).
% 0.11/15.58 fof(f77,plain,(
% 0.11/15.58 ~product(multiplicative_identity,a,b)),
% 0.11/15.58 inference(cnf_transformation,[status(thm)],[f32])).
% 0.11/15.58 fof(f82,plain,(
% 0.11/15.58 defined(additive_inverse(b))),
% 0.11/15.58 inference(resolution,[status(thm)],[f54,f73])).
% 0.11/15.58 fof(f83,plain,(
% 0.11/15.58 defined(additive_inverse(a))),
% 0.11/15.58 inference(resolution,[status(thm)],[f54,f72])).
% 0.11/15.58 fof(f84,plain,(
% 0.11/15.58 defined(additive_inverse(multiplicative_identity))),
% 0.11/15.58 inference(resolution,[status(thm)],[f54,f57])).
% 0.11/15.58 fof(f85,plain,(
% 0.11/15.58 defined(additive_inverse(additive_identity))),
% 0.11/15.58 inference(resolution,[status(thm)],[f54,f53])).
% 0.11/15.58 fof(f91,plain,(
% 0.11/15.58 ![X0,X1,X2]: (product(multiplicative_inverse(b),X0,X1)|~product(multiplicative_inverse(a),X0,X2)|~product(multiplicative_identity,X2,X1))),
% 0.11/15.58 inference(resolution,[status(thm)],[f43,f76])).
% 0.11/15.58 fof(f92,plain,(
% 0.11/15.58 product(multiplicative_identity,b,b)),
% 0.11/15.58 inference(resolution,[status(thm)],[f44,f73])).
% 0.11/15.58 fof(f94,plain,(
% 0.11/15.58 product(multiplicative_identity,multiplicative_identity,multiplicative_identity)),
% 0.11/15.58 inference(resolution,[status(thm)],[f44,f57])).
% 0.11/15.58 fof(f104,definition,(
% 0.11/15.58 sQ1_spl <=> (sum(additive_identity,b,additive_identity))),
% 0.11/15.58 introduced(definition,[new_symbols(definition,[sQ1_spl])],[split_symbol_definition])).
% 0.11/15.58 fof(f105,plain,(
% 0.11/15.58 sum(additive_identity,b,additive_identity)|~sQ1_spl),
% 0.11/15.58 inference(component_clause,[status(thm)],[f104])).
% 0.11/15.58 fof(f111,definition,(
% 0.11/15.58 sQ3_spl <=> (sum(additive_identity,a,additive_identity))),
% 0.11/15.58 introduced(definition,[new_symbols(definition,[sQ3_spl])],[split_symbol_definition])).
% 0.11/15.58 fof(f112,plain,(
% 0.11/15.58 sum(additive_identity,a,additive_identity)|~sQ3_spl),
% 0.11/15.58 inference(component_clause,[status(thm)],[f111])).
% 0.11/15.58 fof(f129,plain,(
% 0.11/15.58 product(multiplicative_inverse(b),b,multiplicative_identity)|sum(additive_identity,b,additive_identity)),
% 0.11/15.58 inference(resolution,[status(thm)],[f45,f73])).
% 0.11/15.58 fof(f130,plain,(
% 0.11/15.58 product(multiplicative_inverse(a),a,multiplicative_identity)|sum(additive_identity,a,additive_identity)),
% 0.11/15.58 inference(resolution,[status(thm)],[f45,f72])).
% 0.11/15.58 fof(f133,definition,(
% 0.11/15.58 sQ8_spl <=> (product(multiplicative_inverse(b),b,multiplicative_identity))),
% 0.11/15.58 introduced(definition,[new_symbols(definition,[sQ8_spl])],[split_symbol_definition])).
% 0.11/15.58 fof(f134,plain,(
% 0.11/15.58 product(multiplicative_inverse(b),b,multiplicative_identity)|~sQ8_spl),
% 0.11/15.58 inference(component_clause,[status(thm)],[f133])).
% 0.11/15.58 fof(f136,plain,(
% 0.11/15.58 sQ8_spl|sQ1_spl),
% 0.11/15.58 inference(split_clause,[status(thm)],[f129,f133,f104])).
% 0.11/15.58 fof(f137,definition,(
% 0.11/15.58 sQ9_spl <=> (product(multiplicative_inverse(a),a,multiplicative_identity))),
% 0.11/15.58 introduced(definition,[new_symbols(definition,[sQ9_spl])],[split_symbol_definition])).
% 0.11/15.58 fof(f138,plain,(
% 0.11/15.58 product(multiplicative_inverse(a),a,multiplicative_identity)|~sQ9_spl),
% 0.11/15.58 inference(component_clause,[status(thm)],[f137])).
% 0.11/15.58 fof(f140,plain,(
% 0.11/15.58 sQ9_spl|sQ3_spl),
% 0.11/15.58 inference(split_clause,[status(thm)],[f130,f137,f111])).
% 0.11/15.58 fof(f149,plain,(
% 0.11/15.58 $false|~sQ3_spl),
% 0.11/15.58 inference(forward_subsumption_resolution,[status(thm)],[f112,f74])).
% 0.11/15.58 fof(f150,plain,(
% 0.11/15.58 ~sQ3_spl),
% 0.11/15.58 inference(contradiction_clause,[status(thm)],[f149])).
% 0.11/15.58 fof(f151,plain,(
% 0.11/15.58 $false|~sQ1_spl),
% 0.11/15.58 inference(forward_subsumption_resolution,[status(thm)],[f105,f75])).
% 0.11/15.58 fof(f152,plain,(
% 0.11/15.58 ~sQ1_spl),
% 0.11/15.58 inference(contradiction_clause,[status(thm)],[f151])).
% 0.11/15.58 fof(f153,plain,(
% 0.11/15.58 ![X0]: (less_or_equal(b,X0)|less_or_equal(X0,b)|~defined(X0))),
% 0.11/15.58 inference(resolution,[status(thm)],[f67,f73])).
% 0.11/15.58 fof(f154,plain,(
% 0.11/15.58 ![X0]: (less_or_equal(a,X0)|less_or_equal(X0,a)|~defined(X0))),
% 0.11/15.58 inference(resolution,[status(thm)],[f67,f72])).
% 0.11/15.58 fof(f155,plain,(
% 0.11/15.58 ![X0]: (less_or_equal(multiplicative_identity,X0)|less_or_equal(X0,multiplicative_identity)|~defined(X0))),
% 0.11/15.58 inference(resolution,[status(thm)],[f67,f57])).
% 0.11/15.58 fof(f156,plain,(
% 0.11/15.58 ![X0]: (less_or_equal(additive_identity,X0)|less_or_equal(X0,additive_identity)|~defined(X0))),
% 0.11/15.58 inference(resolution,[status(thm)],[f67,f53])).
% 0.11/15.58 fof(f157,plain,(
% 0.11/15.58 less_or_equal(b,b)|less_or_equal(b,b)),
% 0.11/15.58 inference(resolution,[status(thm)],[f153,f73])).
% 0.11/15.58 fof(f161,definition,(
% 0.11/15.58 sQ12_spl <=> (less_or_equal(b,b))),
% 0.11/15.58 introduced(definition,[new_symbols(definition,[sQ12_spl])],[split_symbol_definition])).
% 0.11/15.58 fof(f164,plain,(
% 0.11/15.58 sQ12_spl),
% 0.11/15.58 inference(split_clause,[status(thm)],[f157,f161])).
% 0.11/15.58 fof(f187,plain,(
% 0.11/15.58 less_or_equal(a,a)|less_or_equal(a,a)),
% 0.11/15.58 inference(resolution,[status(thm)],[f154,f72])).
% 0.11/15.58 fof(f191,definition,(
% 0.11/15.58 sQ19_spl <=> (less_or_equal(a,a))),
% 0.11/15.58 introduced(definition,[new_symbols(definition,[sQ19_spl])],[split_symbol_definition])).
% 0.11/15.58 fof(f194,plain,(
% 0.11/15.58 sQ19_spl),
% 0.11/15.58 inference(split_clause,[status(thm)],[f187,f191])).
% 0.11/15.58 fof(f211,plain,(
% 0.11/15.58 less_or_equal(multiplicative_identity,multiplicative_identity)|less_or_equal(multiplicative_identity,multiplicative_identity)),
% 0.11/15.58 inference(resolution,[status(thm)],[f155,f57])).
% 0.11/15.58 fof(f215,definition,(
% 0.11/15.58 sQ24_spl <=> (less_or_equal(multiplicative_identity,multiplicative_identity))),
% 0.11/15.58 introduced(definition,[new_symbols(definition,[sQ24_spl])],[split_symbol_definition])).
% 0.11/15.58 fof(f218,plain,(
% 0.11/15.58 sQ24_spl),
% 0.11/15.58 inference(split_clause,[status(thm)],[f211,f215])).
% 0.11/15.58 fof(f229,plain,(
% 0.11/15.58 less_or_equal(additive_identity,additive_identity)|less_or_equal(additive_identity,additive_identity)),
% 0.11/15.58 inference(resolution,[status(thm)],[f156,f53])).
% 0.11/15.58 fof(f233,definition,(
% 0.11/15.58 sQ27_spl <=> (less_or_equal(additive_identity,additive_identity))),
% 0.11/15.58 introduced(definition,[new_symbols(definition,[sQ27_spl])],[split_symbol_definition])).
% 0.11/15.58 fof(f236,plain,(
% 0.11/15.58 sQ27_spl),
% 0.11/15.58 inference(split_clause,[status(thm)],[f229,f233])).
% 0.11/15.58 fof(f248,plain,(
% 0.11/15.58 ![X0]: (less_or_equal(additive_inverse(b),X0)|less_or_equal(X0,additive_inverse(b))|~defined(X0))),
% 0.11/15.58 inference(resolution,[status(thm)],[f82,f67])).
% 0.11/15.58 fof(f253,plain,(
% 0.11/15.58 defined(additive_inverse(additive_inverse(b)))),
% 0.11/15.58 inference(resolution,[status(thm)],[f82,f54])).
% 0.11/15.58 fof(f294,plain,(
% 0.11/15.58 less_or_equal(additive_inverse(b),additive_inverse(b))|less_or_equal(additive_inverse(b),additive_inverse(b))),
% 0.11/15.58 inference(resolution,[status(thm)],[f248,f82])).
% 0.11/15.58 fof(f299,definition,(
% 0.11/15.58 sQ39_spl <=> (less_or_equal(additive_inverse(b),additive_inverse(b)))),
% 0.11/15.58 introduced(definition,[new_symbols(definition,[sQ39_spl])],[split_symbol_definition])).
% 0.11/15.58 fof(f302,plain,(
% 0.11/15.58 sQ39_spl),
% 0.11/15.58 inference(split_clause,[status(thm)],[f294,f299])).
% 0.11/15.58 fof(f312,plain,(
% 0.11/15.58 ![X0]: (less_or_equal(additive_inverse(a),X0)|less_or_equal(X0,additive_inverse(a))|~defined(X0))),
% 0.11/15.58 inference(resolution,[status(thm)],[f83,f67])).
% 0.11/15.58 fof(f365,plain,(
% 0.11/15.58 less_or_equal(additive_inverse(a),additive_inverse(a))|less_or_equal(additive_inverse(a),additive_inverse(a))),
% 0.11/15.58 inference(resolution,[status(thm)],[f312,f83])).
% 0.11/15.58 fof(f371,definition,(
% 0.11/15.58 sQ53_spl <=> (less_or_equal(additive_inverse(a),additive_inverse(a)))),
% 0.11/15.58 introduced(definition,[new_symbols(definition,[sQ53_spl])],[split_symbol_definition])).
% 0.11/15.58 fof(f374,plain,(
% 0.11/15.58 sQ53_spl),
% 0.11/15.58 inference(split_clause,[status(thm)],[f365,f371])).
% 0.11/15.58 fof(f386,plain,(
% 0.11/15.58 ![X0]: (less_or_equal(additive_inverse(multiplicative_identity),X0)|less_or_equal(X0,additive_inverse(multiplicative_identity))|~defined(X0))),
% 0.11/15.58 inference(resolution,[status(thm)],[f84,f67])).
% 0.11/15.58 fof(f446,plain,(
% 0.11/15.58 less_or_equal(additive_inverse(multiplicative_identity),additive_inverse(multiplicative_identity))|less_or_equal(additive_inverse(multiplicative_identity),additive_inverse(multiplicative_identity))),
% 0.11/15.58 inference(resolution,[status(thm)],[f386,f84])).
% 0.11/15.58 fof(f453,definition,(
% 0.11/15.58 sQ69_spl <=> (less_or_equal(additive_inverse(multiplicative_identity),additive_inverse(multiplicative_identity)))),
% 0.11/15.58 introduced(definition,[new_symbols(definition,[sQ69_spl])],[split_symbol_definition])).
% 0.11/15.58 fof(f456,plain,(
% 0.11/15.58 sQ69_spl),
% 0.11/15.58 inference(split_clause,[status(thm)],[f446,f453])).
% 0.11/15.58 fof(f470,plain,(
% 0.11/15.58 ![X0]: (less_or_equal(additive_inverse(additive_identity),X0)|less_or_equal(X0,additive_inverse(additive_identity))|~defined(X0))),
% 0.11/15.59 inference(resolution,[status(thm)],[f85,f67])).
% 0.11/15.59 fof(f537,plain,(
% 0.11/15.59 less_or_equal(additive_inverse(additive_identity),additive_inverse(additive_identity))|less_or_equal(additive_inverse(additive_identity),additive_inverse(additive_identity))),
% 0.11/15.59 inference(resolution,[status(thm)],[f470,f85])).
% 0.11/15.59 fof(f545,definition,(
% 0.11/15.59 sQ87_spl <=> (less_or_equal(additive_inverse(additive_identity),additive_inverse(additive_identity)))),
% 0.11/15.59 introduced(definition,[new_symbols(definition,[sQ87_spl])],[split_symbol_definition])).
% 0.11/15.59 fof(f548,plain,(
% 0.11/15.59 sQ87_spl),
% 0.11/15.59 inference(split_clause,[status(thm)],[f537,f545])).
% 0.11/15.59 fof(f862,plain,(
% 0.11/15.59 ![X0]: (product(multiplicative_inverse(b),a,X0)|~product(multiplicative_identity,multiplicative_identity,X0)|~sQ9_spl)),
% 0.11/15.59 inference(resolution,[status(thm)],[f138,f91])).
% 0.11/15.59 fof(f867,plain,(
% 0.11/15.59 product(multiplicative_inverse(b),a,multiplicative_identity)|~sQ9_spl),
% 0.11/15.59 inference(resolution,[status(thm)],[f862,f94])).
% 0.11/15.59 fof(f872,plain,(
% 0.11/15.59 product(a,multiplicative_inverse(b),multiplicative_identity)|~sQ9_spl),
% 0.11/15.59 inference(resolution,[status(thm)],[f867,f46])).
% 0.11/15.59 fof(f877,plain,(
% 0.11/15.59 ![X0,X1,X2]: (product(a,X0,X1)|~product(multiplicative_inverse(b),X2,X0)|~product(multiplicative_identity,X2,X1)|~sQ9_spl)),
% 0.11/15.59 inference(resolution,[status(thm)],[f872,f41])).
% 0.11/15.59 fof(f911,plain,(
% 0.11/15.59 ![X0]: (less_or_equal(additive_inverse(additive_inverse(b)),X0)|less_or_equal(X0,additive_inverse(additive_inverse(b)))|~defined(X0))),
% 0.11/15.59 inference(resolution,[status(thm)],[f253,f67])).
% 0.11/15.59 fof(f1105,plain,(
% 0.11/15.59 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)))),
% 0.11/15.59 inference(resolution,[status(thm)],[f911,f253])).
% 0.11/15.59 fof(f1116,definition,(
% 0.11/15.59 sQ161_spl <=> (less_or_equal(additive_inverse(additive_inverse(b)),additive_inverse(additive_inverse(b))))),
% 0.11/15.59 introduced(definition,[new_symbols(definition,[sQ161_spl])],[split_symbol_definition])).
% 0.11/15.59 fof(f1119,plain,(
% 0.11/15.59 sQ161_spl),
% 0.11/15.59 inference(split_clause,[status(thm)],[f1105,f1116])).
% 0.11/15.59 fof(f1137,plain,(
% 0.11/15.59 ![X0]: (product(a,multiplicative_identity,X0)|~product(multiplicative_identity,b,X0)|~sQ9_spl|~sQ8_spl)),
% 0.11/15.59 inference(resolution,[status(thm)],[f877,f134])).
% 0.11/15.59 fof(f1145,plain,(
% 0.11/15.59 product(a,multiplicative_identity,b)|~sQ9_spl|~sQ8_spl),
% 0.11/15.59 inference(resolution,[status(thm)],[f1137,f92])).
% 0.11/15.59 fof(f1149,plain,(
% 0.11/15.59 product(multiplicative_identity,a,b)|~sQ9_spl|~sQ8_spl),
% 0.11/15.59 inference(resolution,[status(thm)],[f1145,f46])).
% 0.11/15.59 fof(f1152,plain,(
% 0.11/15.59 $false|~sQ9_spl|~sQ8_spl),
% 0.11/15.59 inference(forward_subsumption_resolution,[status(thm)],[f1149,f77])).
% 0.11/15.59 fof(f1153,plain,(
% 0.11/15.59 ~sQ9_spl|~sQ8_spl),
% 0.11/15.59 inference(contradiction_clause,[status(thm)],[f1152])).
% 0.11/15.59 fof(f1154,plain,(
% 0.11/15.59 $false),
% 0.11/15.59 inference(sat_refutation,[status(thm)],[f136,f140,f150,f152,f164,f194,f218,f236,f302,f374,f456,f548,f1119,f1153])).
% 0.11/15.59 % SZS output end CNFRefutation for theBenchmark.p
% 0.15/15.60 % Elapsed time: 0.050526 seconds
% 0.15/15.60 % CPU time: 0.207053 seconds
% 0.15/15.60 % Total memory used: 19.793 MB
% 0.15/15.60 % Net memory used: 19.561 MB
%------------------------------------------------------------------------------