%------------------------------------------------------------------------------
% File : Drodi-SAT---4.1.1
% Problem : FLD061-3 : 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 : n017.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 12:22:28 PM UTC 2026
% Result : Unsatisfiable 31.60s 4.50s
% Output : Assurance 0s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : FLD061-3 : TPTP v9.3.1. Bugfixed v2.1.0.
% 0.00/0.03 % Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.08/0.36 % Computer : n017.cluster.edu
% 0.08/0.36 % Model : x86_64 x86_64
% 0.08/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.36 % Memory : 8046.5625MB
% 0.08/0.36 % OS : Linux 6.8.0-71-generic
% 0.08/0.36 % CPULimit : 300
% 0.08/0.36 % WCLimit : 300
% 0.08/0.36 % DateTime : Mon Sep 21 15:39:12 UTC 2026
% 0.08/0.36 % CPUTime :
% 0.08/0.37 % Drodi V4.1.1
% 31.60/4.50 % Refutation found
% 31.60/4.50 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 31.60/4.50 % SZS output start CNFRefutation for theBenchmark
% 31.60/4.50 fof(f5,axiom,(
% 31.60/4.50 (![Y,X,Z]: (( sum(Y,X,Z)| ~ sum(X,Y,Z) ) ))),
% 31.60/4.50 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 31.60/4.50 fof(f14,axiom,(
% 31.60/4.50 defined(additive_identity) ),
% 31.60/4.50 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 31.60/4.50 fof(f15,axiom,(
% 31.60/4.50 (![X]: (( defined(additive_inverse(X))| ~ defined(X) ) ))),
% 31.60/4.50 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 31.60/4.50 fof(f19,axiom,(
% 31.60/4.50 (![X,Y]: (( sum(X,Y,add(X,Y))| ~ defined(X)| ~ defined(Y) ) ))),
% 31.60/4.50 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 31.60/4.50 fof(f22,axiom,(
% 31.60/4.50 (![X,Z,Y]: (( less_or_equal(X,Z)| ~ less_or_equal(X,Y)| ~ less_or_equal(Y,Z) ) ))),
% 31.60/4.50 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 31.60/4.50 fof(f23,axiom,(
% 31.60/4.50 (![X,Y]: (( less_or_equal(X,Y)| less_or_equal(Y,X)| ~ defined(X)| ~ defined(Y) ) ))),
% 31.60/4.50 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 31.60/4.50 fof(f24,axiom,(
% 31.60/4.50 (![U,V,X,Y,Z]: (( less_or_equal(U,V)| ~ less_or_equal(X,Y)| ~ sum(X,Z,U)| ~ sum(Y,Z,V) ) ))),
% 31.60/4.50 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 31.60/4.50 fof(f27,hypothesis,(
% 31.60/4.50 defined(a) ),
% 31.60/4.50 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 31.60/4.50 fof(f28,hypothesis,(
% 31.60/4.50 defined(b) ),
% 31.60/4.50 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 31.60/4.50 fof(f29,hypothesis,(
% 31.60/4.50 defined(c) ),
% 31.60/4.50 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 31.60/4.50 fof(f30,hypothesis,(
% 31.60/4.50 defined(d) ),
% 31.60/4.50 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 31.60/4.50 fof(f31,negated_conjecture,(
% 31.60/4.50 less_or_equal(a,b) ),
% 31.60/4.50 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 31.60/4.50 fof(f32,negated_conjecture,(
% 31.60/4.50 less_or_equal(c,d) ),
% 31.60/4.50 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 31.60/4.50 fof(f33,negated_conjecture,(
% 31.60/4.50 ~ less_or_equal(add(a,c),add(d,b)) ),
% 31.60/4.50 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 31.60/4.50 fof(f40,plain,(
% 31.60/4.50 ![X0,X1,X2]: (sum(X0,X1,X2)|~sum(X1,X0,X2))),
% 31.60/4.50 inference(cnf_transformation,[status(thm)],[f5])).
% 31.60/4.50 fof(f54,plain,(
% 31.60/4.50 defined(additive_identity)),
% 31.60/4.50 inference(cnf_transformation,[status(thm)],[f14])).
% 31.60/4.50 fof(f55,plain,(
% 31.60/4.50 ![X0]: (defined(additive_inverse(X0))|~defined(X0))),
% 31.60/4.50 inference(cnf_transformation,[status(thm)],[f15])).
% 31.60/4.50 fof(f60,plain,(
% 31.60/4.50 ![Y]: ((![X]: (sum(X,Y,add(X,Y))|~defined(X)))|~defined(Y))),
% 31.60/4.50 inference(miniscoping,[status(thm)],[f19])).
% 31.60/4.50 fof(f61,plain,(
% 31.60/4.50 ![X0,X1]: (sum(X0,X1,add(X0,X1))|~defined(X0)|~defined(X1))),
% 31.60/4.50 inference(cnf_transformation,[status(thm)],[f60])).
% 31.60/4.50 fof(f65,plain,(
% 31.60/4.50 ![Z,Y]: ((![X]: (less_or_equal(X,Z)|~less_or_equal(X,Y)))|~less_or_equal(Y,Z))),
% 31.60/4.50 inference(miniscoping,[status(thm)],[f22])).
% 31.60/4.50 fof(f66,plain,(
% 31.60/4.50 ![X0,X1,X2]: (less_or_equal(X0,X1)|~less_or_equal(X0,X2)|~less_or_equal(X2,X1))),
% 31.60/4.50 inference(cnf_transformation,[status(thm)],[f65])).
% 31.60/4.50 fof(f67,plain,(
% 31.60/4.50 ![Y]: ((![X]: ((less_or_equal(X,Y)|less_or_equal(Y,X))|~defined(X)))|~defined(Y))),
% 31.60/4.50 inference(miniscoping,[status(thm)],[f23])).
% 31.60/4.50 fof(f68,plain,(
% 31.60/4.50 ![X0,X1]: (less_or_equal(X0,X1)|less_or_equal(X1,X0)|~defined(X0)|~defined(X1))),
% 31.60/4.50 inference(cnf_transformation,[status(thm)],[f67])).
% 31.60/4.50 fof(f69,plain,(
% 31.60/4.50 ![V,Y,Z]: ((![U,X]: ((less_or_equal(U,V)|~less_or_equal(X,Y))|~sum(X,Z,U)))|~sum(Y,Z,V))),
% 31.60/4.50 inference(miniscoping,[status(thm)],[f24])).
% 31.60/4.50 fof(f70,plain,(
% 31.60/4.50 ![X0,X1,X2,X3,X4]: (less_or_equal(X0,X1)|~less_or_equal(X2,X3)|~sum(X2,X4,X0)|~sum(X3,X4,X1))),
% 31.60/4.50 inference(cnf_transformation,[status(thm)],[f69])).
% 31.60/4.50 fof(f73,plain,(
% 31.60/4.50 defined(a)),
% 31.60/4.50 inference(cnf_transformation,[status(thm)],[f27])).
% 31.60/4.50 fof(f74,plain,(
% 31.60/4.50 defined(b)),
% 31.60/4.50 inference(cnf_transformation,[status(thm)],[f28])).
% 31.60/4.50 fof(f75,plain,(
% 31.60/4.50 defined(c)),
% 31.60/4.50 inference(cnf_transformation,[status(thm)],[f29])).
% 31.60/4.50 fof(f76,plain,(
% 31.60/4.50 defined(d)),
% 31.60/4.50 inference(cnf_transformation,[status(thm)],[f30])).
% 31.60/4.50 fof(f77,plain,(
% 31.60/4.50 less_or_equal(a,b)),
% 31.60/4.50 inference(cnf_transformation,[status(thm)],[f31])).
% 31.60/4.50 fof(f78,plain,(
% 31.60/4.50 less_or_equal(c,d)),
% 31.60/4.50 inference(cnf_transformation,[status(thm)],[f32])).
% 31.60/4.50 fof(f79,plain,(
% 31.60/4.50 ~less_or_equal(add(a,c),add(d,b))),
% 31.60/4.50 inference(cnf_transformation,[status(thm)],[f33])).
% 31.60/4.50 fof(f80,plain,(
% 31.60/4.50 ![X0]: (~less_or_equal(add(a,c),X0)|~less_or_equal(X0,add(d,b)))),
% 31.60/4.50 inference(resolution,[status(thm)],[f66,f79])).
% 31.60/4.50 fof(f122,plain,(
% 31.60/4.50 ![X0,X1,X2]: (less_or_equal(X0,X1)|~sum(c,X2,X0)|~sum(d,X2,X1))),
% 31.60/4.50 inference(resolution,[status(thm)],[f70,f78])).
% 31.60/4.50 fof(f123,plain,(
% 31.60/4.50 ![X0,X1,X2]: (less_or_equal(X0,X1)|~sum(a,X2,X0)|~sum(b,X2,X1))),
% 31.60/4.50 inference(resolution,[status(thm)],[f70,f77])).
% 31.60/4.50 fof(f231,plain,(
% 31.60/4.50 ![X0,X1]: (less_or_equal(X0,add(d,X1))|~sum(c,X1,X0)|~defined(d)|~defined(X1))),
% 31.60/4.50 inference(resolution,[status(thm)],[f122,f61])).
% 31.60/4.50 fof(f236,definition,(
% 31.60/4.50 ![X0,X1]: (sQ19_spl <=> (less_or_equal(X0,add(d,X1))|~sum(c,X1,X0)|~defined(X1)))),
% 31.60/4.50 introduced(definition,[new_symbols(definition,[sQ19_spl])],[split_symbol_definition])).
% 31.60/4.50 fof(f237,plain,(
% 31.60/4.50 ![X0,X1]: (less_or_equal(X0,add(d,X1))|~sum(c,X1,X0)|~defined(X1)|~sQ19_spl)),
% 31.60/4.50 inference(component_clause,[status(thm)],[f236])).
% 31.60/4.50 fof(f239,definition,(
% 31.60/4.50 sQ20_spl <=> (defined(d))),
% 31.60/4.50 introduced(definition,[new_symbols(definition,[sQ20_spl])],[split_symbol_definition])).
% 31.60/4.50 fof(f241,plain,(
% 31.60/4.50 ~defined(d)|sQ20_spl),
% 31.60/4.50 inference(component_clause,[status(thm)],[f239])).
% 31.60/4.50 fof(f242,plain,(
% 31.60/4.50 sQ19_spl|~sQ20_spl),
% 31.60/4.50 inference(split_clause,[status(thm)],[f231,f236,f239])).
% 31.60/4.50 fof(f245,plain,(
% 31.60/4.50 ![X0,X1,X2]: (less_or_equal(X0,X1)|~sum(a,X2,X0)|~sum(X2,b,X1))),
% 31.60/4.50 inference(resolution,[status(thm)],[f123,f40])).
% 31.60/4.50 fof(f251,definition,(
% 31.60/4.50 sQ22_spl <=> (defined(b))),
% 31.60/4.50 introduced(definition,[new_symbols(definition,[sQ22_spl])],[split_symbol_definition])).
% 31.60/4.50 fof(f253,plain,(
% 31.60/4.50 ~defined(b)|sQ22_spl),
% 31.60/4.50 inference(component_clause,[status(thm)],[f251])).
% 31.60/4.50 fof(f341,plain,(
% 31.60/4.50 defined(additive_inverse(d))),
% 31.60/4.50 inference(resolution,[status(thm)],[f55,f76])).
% 31.60/4.50 fof(f342,plain,(
% 31.60/4.50 defined(additive_inverse(c))),
% 31.60/4.50 inference(resolution,[status(thm)],[f55,f75])).
% 31.60/4.50 fof(f344,plain,(
% 31.60/4.50 defined(additive_inverse(b))),
% 31.60/4.50 inference(resolution,[status(thm)],[f55,f74])).
% 31.60/4.50 fof(f345,plain,(
% 31.60/4.50 defined(additive_inverse(a))),
% 31.60/4.50 inference(resolution,[status(thm)],[f55,f73])).
% 31.60/4.50 fof(f407,plain,(
% 31.60/4.50 $false|sQ20_spl),
% 31.60/4.50 inference(forward_subsumption_resolution,[status(thm)],[f241,f76])).
% 31.60/4.50 fof(f408,plain,(
% 31.60/4.50 sQ20_spl),
% 31.60/4.50 inference(contradiction_clause,[status(thm)],[f407])).
% 31.60/4.50 fof(f417,definition,(
% 31.60/4.50 sQ42_spl <=> (defined(c))),
% 31.60/4.50 introduced(definition,[new_symbols(definition,[sQ42_spl])],[split_symbol_definition])).
% 31.60/4.50 fof(f419,plain,(
% 31.60/4.50 ~defined(c)|sQ42_spl),
% 31.60/4.50 inference(component_clause,[status(thm)],[f417])).
% 31.60/4.50 fof(f460,plain,(
% 31.60/4.50 ![X0]: (less_or_equal(X0,additive_inverse(d))|less_or_equal(additive_inverse(d),X0)|~defined(X0))),
% 31.60/4.50 inference(resolution,[status(thm)],[f341,f68])).
% 31.60/4.50 fof(f510,plain,(
% 31.60/4.50 ![X0]: (less_or_equal(X0,additive_inverse(c))|less_or_equal(additive_inverse(c),X0)|~defined(X0))),
% 31.60/4.50 inference(resolution,[status(thm)],[f342,f68])).
% 31.60/4.50 fof(f573,plain,(
% 31.60/4.50 ![X0]: (less_or_equal(X0,additive_inverse(b))|less_or_equal(additive_inverse(b),X0)|~defined(X0))),
% 31.60/4.50 inference(resolution,[status(thm)],[f344,f68])).
% 31.60/4.50 fof(f668,plain,(
% 31.60/4.50 $false|sQ42_spl),
% 31.60/4.50 inference(forward_subsumption_resolution,[status(thm)],[f419,f75])).
% 31.60/4.50 fof(f669,plain,(
% 31.60/4.50 sQ42_spl),
% 31.60/4.50 inference(contradiction_clause,[status(thm)],[f668])).
% 31.60/4.50 fof(f694,plain,(
% 31.60/4.50 ![X0]: (less_or_equal(X0,additive_inverse(a))|less_or_equal(additive_inverse(a),X0)|~defined(X0))),
% 31.60/4.50 inference(resolution,[status(thm)],[f345,f68])).
% 31.60/4.50 fof(f790,definition,(
% 31.60/4.50 sQ106_spl <=> (defined(a))),
% 31.60/4.50 introduced(definition,[new_symbols(definition,[sQ106_spl])],[split_symbol_definition])).
% 31.60/4.50 fof(f792,plain,(
% 31.60/4.50 ~defined(a)|sQ106_spl),
% 31.60/4.50 inference(component_clause,[status(thm)],[f790])).
% 31.60/4.50 fof(f817,plain,(
% 31.60/4.50 $false|sQ106_spl),
% 31.60/4.50 inference(forward_subsumption_resolution,[status(thm)],[f792,f73])).
% 31.60/4.50 fof(f818,plain,(
% 31.60/4.50 sQ106_spl),
% 31.60/4.50 inference(contradiction_clause,[status(thm)],[f817])).
% 31.60/4.50 fof(f969,plain,(
% 31.60/4.50 $false|sQ22_spl),
% 31.60/4.50 inference(forward_subsumption_resolution,[status(thm)],[f253,f74])).
% 31.60/4.50 fof(f970,plain,(
% 31.60/4.50 sQ22_spl),
% 31.60/4.50 inference(contradiction_clause,[status(thm)],[f969])).
% 31.60/4.50 fof(f971,plain,(
% 31.60/4.50 ![X0,X1]: (less_or_equal(add(a,X0),X1)|~sum(X0,b,X1)|~defined(a)|~defined(X0))),
% 31.60/4.50 inference(resolution,[status(thm)],[f245,f61])).
% 31.60/4.50 fof(f976,definition,(
% 31.60/4.50 ![X0,X1]: (sQ120_spl <=> (less_or_equal(add(a,X0),X1)|~sum(X0,b,X1)|~defined(X0)))),
% 31.60/4.50 introduced(definition,[new_symbols(definition,[sQ120_spl])],[split_symbol_definition])).
% 31.60/4.50 fof(f977,plain,(
% 31.60/4.50 ![X0,X1]: (less_or_equal(add(a,X0),X1)|~sum(X0,b,X1)|~defined(X0)|~sQ120_spl)),
% 31.60/4.50 inference(component_clause,[status(thm)],[f976])).
% 31.60/4.50 fof(f979,plain,(
% 31.60/4.50 sQ120_spl|~sQ106_spl),
% 31.60/4.50 inference(split_clause,[status(thm)],[f971,f976,f790])).
% 31.60/4.50 fof(f2437,plain,(
% 31.60/4.50 ![X0]: (less_or_equal(add(c,X0),add(d,X0))|~defined(X0)|~defined(c)|~defined(X0)|~sQ19_spl)),
% 31.60/4.50 inference(resolution,[status(thm)],[f237,f61])).
% 31.60/4.50 fof(f2442,definition,(
% 31.60/4.50 ![X0]: (sQ340_spl <=> (less_or_equal(add(c,X0),add(d,X0))|~defined(X0)|~defined(X0)))),
% 31.60/4.50 introduced(definition,[new_symbols(definition,[sQ340_spl])],[split_symbol_definition])).
% 31.60/4.50 fof(f2443,plain,(
% 31.60/4.50 ![X0]: (less_or_equal(add(c,X0),add(d,X0))|~defined(X0)|~defined(X0)|~sQ340_spl)),
% 31.60/4.50 inference(component_clause,[status(thm)],[f2442])).
% 31.60/4.50 fof(f2445,plain,(
% 31.60/4.50 sQ340_spl|~sQ42_spl|~sQ19_spl),
% 31.60/4.50 inference(split_clause,[status(thm)],[f2437,f2442,f417,f236])).
% 31.60/4.50 fof(f2446,plain,(
% 31.60/4.50 ![X0]: (less_or_equal(add(c,X0),add(d,X0))|~defined(X0)|~sQ340_spl)),
% 31.60/4.50 inference(duplicate_literals_removal,[status(thm)],[f2443])).
% 31.60/4.50 fof(f2751,definition,(
% 31.60/4.50 sQ365_spl <=> (defined(additive_identity))),
% 31.60/4.50 introduced(definition,[new_symbols(definition,[sQ365_spl])],[split_symbol_definition])).
% 31.60/4.50 fof(f2753,plain,(
% 31.60/4.50 ~defined(additive_identity)|sQ365_spl),
% 31.60/4.50 inference(component_clause,[status(thm)],[f2751])).
% 31.60/4.50 fof(f4773,plain,(
% 31.60/4.50 less_or_equal(additive_inverse(d),additive_inverse(d))|less_or_equal(additive_inverse(d),additive_inverse(d))),
% 31.60/4.50 inference(resolution,[status(thm)],[f460,f341])).
% 31.60/4.50 fof(f4866,definition,(
% 31.60/4.50 sQ629_spl <=> (less_or_equal(additive_inverse(d),additive_inverse(d)))),
% 31.60/4.50 introduced(definition,[new_symbols(definition,[sQ629_spl])],[split_symbol_definition])).
% 31.60/4.50 fof(f4869,plain,(
% 31.60/4.50 sQ629_spl),
% 31.60/4.50 inference(split_clause,[status(thm)],[f4773,f4866])).
% 31.60/4.50 fof(f5369,plain,(
% 31.60/4.50 less_or_equal(additive_inverse(c),additive_inverse(c))|less_or_equal(additive_inverse(c),additive_inverse(c))),
% 31.60/4.50 inference(resolution,[status(thm)],[f510,f342])).
% 31.60/4.50 fof(f5463,definition,(
% 31.60/4.50 sQ728_spl <=> (less_or_equal(additive_inverse(c),additive_inverse(c)))),
% 31.60/4.50 introduced(definition,[new_symbols(definition,[sQ728_spl])],[split_symbol_definition])).
% 31.60/4.50 fof(f5466,plain,(
% 31.60/4.50 sQ728_spl),
% 31.60/4.50 inference(split_clause,[status(thm)],[f5369,f5463])).
% 31.60/4.50 fof(f6615,plain,(
% 31.60/4.50 less_or_equal(additive_inverse(b),additive_inverse(b))|less_or_equal(additive_inverse(b),additive_inverse(b))),
% 31.60/4.50 inference(resolution,[status(thm)],[f573,f344])).
% 31.60/4.50 fof(f6717,definition,(
% 31.60/4.50 sQ873_spl <=> (less_or_equal(additive_inverse(b),additive_inverse(b)))),
% 31.60/4.50 introduced(definition,[new_symbols(definition,[sQ873_spl])],[split_symbol_definition])).
% 31.60/4.50 fof(f6720,plain,(
% 31.60/4.50 sQ873_spl),
% 31.60/4.50 inference(split_clause,[status(thm)],[f6615,f6717])).
% 31.60/4.50 fof(f8450,plain,(
% 31.60/4.50 less_or_equal(additive_inverse(a),additive_inverse(a))|less_or_equal(additive_inverse(a),additive_inverse(a))),
% 31.60/4.50 inference(resolution,[status(thm)],[f694,f345])).
% 31.60/4.50 fof(f8581,definition,(
% 31.60/4.50 sQ1155_spl <=> (less_or_equal(additive_inverse(a),additive_inverse(a)))),
% 31.60/4.50 introduced(definition,[new_symbols(definition,[sQ1155_spl])],[split_symbol_definition])).
% 31.60/4.50 fof(f8584,plain,(
% 31.60/4.50 sQ1155_spl),
% 31.60/4.50 inference(split_clause,[status(thm)],[f8450,f8581])).
% 31.60/4.50 fof(f8603,plain,(
% 31.60/4.50 ![X0]: (less_or_equal(add(a,X0),add(X0,b))|~defined(X0)|~defined(X0)|~defined(b)|~sQ120_spl)),
% 31.60/4.50 inference(resolution,[status(thm)],[f977,f61])).
% 31.60/4.50 fof(f8634,definition,(
% 31.60/4.50 ![X0]: (sQ1163_spl <=> (less_or_equal(add(a,X0),add(X0,b))|~defined(X0)|~defined(X0)))),
% 31.60/4.50 introduced(definition,[new_symbols(definition,[sQ1163_spl])],[split_symbol_definition])).
% 31.60/4.50 fof(f8635,plain,(
% 31.60/4.50 ![X0]: (less_or_equal(add(a,X0),add(X0,b))|~defined(X0)|~defined(X0)|~sQ1163_spl)),
% 31.60/4.50 inference(component_clause,[status(thm)],[f8634])).
% 31.60/4.50 fof(f8637,plain,(
% 31.60/4.50 sQ1163_spl|~sQ22_spl|~sQ120_spl),
% 31.60/4.50 inference(split_clause,[status(thm)],[f8603,f8634,f251,f976])).
% 31.60/4.50 fof(f8638,plain,(
% 31.60/4.50 $false|sQ365_spl),
% 31.60/4.50 inference(forward_subsumption_resolution,[status(thm)],[f2753,f54])).
% 31.60/4.52 fof(f8639,plain,(
% 31.60/4.52 sQ365_spl),
% 31.60/4.52 inference(contradiction_clause,[status(thm)],[f8638])).
% 31.60/4.52 fof(f8640,plain,(
% 31.60/4.52 ![X0]: (less_or_equal(add(a,X0),add(X0,b))|~defined(X0)|~sQ1163_spl)),
% 31.60/4.52 inference(duplicate_literals_removal,[status(thm)],[f8635])).
% 31.60/4.52 fof(f10144,plain,(
% 31.60/4.52 ~defined(c)|~less_or_equal(add(c,b),add(d,b))|~sQ1163_spl),
% 31.60/4.52 inference(resolution,[status(thm)],[f8640,f80])).
% 31.60/4.52 fof(f10170,definition,(
% 31.60/4.52 sQ1390_spl <=> (less_or_equal(add(c,b),add(d,b)))),
% 31.60/4.52 introduced(definition,[new_symbols(definition,[sQ1390_spl])],[split_symbol_definition])).
% 31.60/4.52 fof(f10172,plain,(
% 31.60/4.52 ~less_or_equal(add(c,b),add(d,b))|sQ1390_spl),
% 31.60/4.52 inference(component_clause,[status(thm)],[f10170])).
% 31.60/4.52 fof(f10173,plain,(
% 31.60/4.52 ~sQ42_spl|~sQ1390_spl|~sQ1163_spl),
% 31.60/4.52 inference(split_clause,[status(thm)],[f10144,f417,f10170,f8634])).
% 31.60/4.52 fof(f11809,plain,(
% 31.60/4.52 ~defined(b)|sQ1390_spl|~sQ340_spl),
% 31.60/4.52 inference(resolution,[status(thm)],[f10172,f2446])).
% 31.60/4.52 fof(f11817,plain,(
% 31.60/4.52 ~sQ22_spl|sQ1390_spl|~sQ340_spl),
% 31.60/4.52 inference(split_clause,[status(thm)],[f11809,f251,f10170,f2442])).
% 31.60/4.52 fof(f11826,plain,(
% 31.60/4.52 $false),
% 31.60/4.52 inference(sat_refutation,[status(thm)],[f242,f408,f669,f818,f970,f979,f2445,f4869,f5466,f6720,f8584,f8637,f8639,f10173,f11817])).
% 31.60/4.52 % SZS output end CNFRefutation for theBenchmark.p
% 29.27/4.58 % Elapsed time: 4.201920 seconds
% 29.27/4.58 % CPU time: 32.790667 seconds
% 29.27/4.58 % Total memory used: 234.842 MB
% 29.27/4.58 % Net memory used: 226.985 MB
%------------------------------------------------------------------------------