TSTP Solution File: FLD026-3 by Drodi---3.5.1
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- Process Solution
%------------------------------------------------------------------------------
% File : Drodi---3.5.1
% Problem : FLD026-3 : TPTP v8.1.2. Bugfixed v2.1.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% Computer : n003.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Wed May 31 12:06:55 EDT 2023
% Result : Unsatisfiable 178.29s 22.92s
% Output : CNFRefutation 178.88s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.05/0.10 % Problem : FLD026-3 : TPTP v8.1.2. Bugfixed v2.1.0.
% 0.05/0.10 % Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.09/0.31 % Computer : n003.cluster.edu
% 0.09/0.31 % Model : x86_64 x86_64
% 0.09/0.31 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.31 % Memory : 8042.1875MB
% 0.09/0.31 % OS : Linux 3.10.0-693.el7.x86_64
% 0.09/0.31 % CPULimit : 300
% 0.09/0.31 % WCLimit : 300
% 0.09/0.31 % DateTime : Tue May 30 11:04:38 EDT 2023
% 0.09/0.31 % CPUTime :
% 0.16/0.31 % Drodi V3.5.1
% 178.29/22.92 % Refutation found
% 178.29/22.92 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 178.29/22.92 % SZS output start CNFRefutation for theBenchmark
% 178.29/22.92 fof(f1,axiom,(
% 178.29/22.92 (![X,V,W,Y,U,Z]: (( sum(X,V,W)| ~ sum(X,Y,U)| ~ sum(Y,Z,V)| ~ sum(U,Z,W) ) ))),
% 178.29/22.92 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 178.29/22.92 fof(f3,axiom,(
% 178.29/22.92 (![X]: (( sum(additive_identity,X,X)| ~ defined(X) ) ))),
% 178.29/22.92 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 178.29/22.92 fof(f6,axiom,(
% 178.29/22.92 (![X,V,W,Y,U,Z]: (( product(X,V,W)| ~ product(X,Y,U)| ~ product(Y,Z,V)| ~ product(U,Z,W) ) ))),
% 178.29/22.92 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 178.29/22.92 fof(f7,axiom,(
% 178.29/22.92 (![U,Z,W,X,Y,V]: (( product(U,Z,W)| ~ product(X,Y,U)| ~ product(Y,Z,V)| ~ product(X,V,W) ) ))),
% 178.29/22.92 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 178.29/22.92 fof(f8,axiom,(
% 178.29/22.92 (![X]: (( product(multiplicative_identity,X,X)| ~ defined(X) ) ))),
% 178.29/22.92 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 178.29/22.92 fof(f9,axiom,(
% 178.29/22.92 (![X]: (( product(multiplicative_inverse(X),X,multiplicative_identity)| sum(additive_identity,X,additive_identity)| ~ defined(X) ) ))),
% 178.29/22.92 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 178.29/22.92 fof(f10,axiom,(
% 178.29/22.92 (![Y,X,Z]: (( product(Y,X,Z)| ~ product(X,Y,Z) ) ))),
% 178.29/22.92 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 178.29/22.92 fof(f11,axiom,(
% 178.29/22.92 (![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) ) ))),
% 178.29/22.92 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 178.29/22.92 fof(f14,axiom,(
% 178.29/22.92 defined(additive_identity) ),
% 178.29/22.92 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 178.29/22.92 fof(f17,axiom,(
% 178.29/22.92 defined(multiplicative_identity) ),
% 178.29/22.92 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 178.29/22.92 fof(f18,axiom,(
% 178.29/22.92 (![X]: (( defined(multiplicative_inverse(X))| ~ defined(X)| sum(additive_identity,X,additive_identity) ) ))),
% 178.29/22.92 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 178.29/22.92 fof(f26,axiom,(
% 178.29/22.92 ~ sum(additive_identity,additive_identity,multiplicative_identity) ),
% 178.29/22.92 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 178.29/22.92 fof(f27,hypothesis,(
% 178.29/22.92 defined(a) ),
% 178.29/22.92 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 178.29/22.92 fof(f28,hypothesis,(
% 178.29/22.92 defined(b) ),
% 178.29/22.92 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 178.29/22.92 fof(f29,negated_conjecture,(
% 178.29/22.92 ~ sum(additive_identity,a,additive_identity) ),
% 178.29/22.92 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 178.29/22.92 fof(f30,negated_conjecture,(
% 178.29/22.92 product(multiplicative_identity,a,b) ),
% 178.29/22.92 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 178.29/22.92 fof(f31,negated_conjecture,(
% 178.29/22.92 ~ product(multiplicative_identity,multiplicative_inverse(a),multiplicative_inverse(b)) ),
% 178.29/22.92 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 178.29/22.92 fof(f32,plain,(
% 178.29/22.92 ![W,U,Z]: ((![V,Y]: ((![X]: (sum(X,V,W)|~sum(X,Y,U)))|~sum(Y,Z,V)))|~sum(U,Z,W))),
% 178.29/22.92 inference(miniscoping,[status(esa)],[f1])).
% 178.29/22.92 fof(f33,plain,(
% 178.29/22.92 ![X0,X1,X2,X3,X4,X5]: (sum(X0,X1,X2)|~sum(X0,X3,X4)|~sum(X3,X5,X1)|~sum(X4,X5,X2))),
% 178.29/22.92 inference(cnf_transformation,[status(esa)],[f32])).
% 178.29/22.92 fof(f36,plain,(
% 178.29/22.92 ![X0]: (sum(additive_identity,X0,X0)|~defined(X0))),
% 178.29/22.92 inference(cnf_transformation,[status(esa)],[f3])).
% 178.29/22.92 fof(f39,plain,(
% 178.29/22.92 ![W,U,Z]: ((![V,Y]: ((![X]: (product(X,V,W)|~product(X,Y,U)))|~product(Y,Z,V)))|~product(U,Z,W))),
% 178.29/22.92 inference(miniscoping,[status(esa)],[f6])).
% 178.29/22.92 fof(f40,plain,(
% 178.29/22.92 ![X0,X1,X2,X3,X4,X5]: (product(X0,X1,X2)|~product(X0,X3,X4)|~product(X3,X5,X1)|~product(X4,X5,X2))),
% 178.29/22.92 inference(cnf_transformation,[status(esa)],[f39])).
% 178.29/22.92 fof(f41,plain,(
% 178.29/22.92 ![W,X,V]: ((![Z,Y]: ((![U]: (product(U,Z,W)|~product(X,Y,U)))|~product(Y,Z,V)))|~product(X,V,W))),
% 178.29/22.92 inference(miniscoping,[status(esa)],[f7])).
% 178.29/22.92 fof(f42,plain,(
% 178.29/22.92 ![X0,X1,X2,X3,X4,X5]: (product(X0,X1,X2)|~product(X3,X4,X0)|~product(X4,X1,X5)|~product(X3,X5,X2))),
% 178.29/22.92 inference(cnf_transformation,[status(esa)],[f41])).
% 178.29/22.92 fof(f43,plain,(
% 178.29/22.92 ![X0]: (product(multiplicative_identity,X0,X0)|~defined(X0))),
% 178.29/22.92 inference(cnf_transformation,[status(esa)],[f8])).
% 178.29/22.92 fof(f44,plain,(
% 178.29/22.92 ![X0]: (product(multiplicative_inverse(X0),X0,multiplicative_identity)|sum(additive_identity,X0,additive_identity)|~defined(X0))),
% 178.29/22.92 inference(cnf_transformation,[status(esa)],[f9])).
% 178.29/22.94 fof(f45,plain,(
% 178.29/22.94 ![X0,X1,X2]: (product(X0,X1,X2)|~product(X1,X0,X2))),
% 178.29/22.94 inference(cnf_transformation,[status(esa)],[f10])).
% 178.29/22.94 fof(f46,plain,(
% 178.29/22.94 ![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))),
% 178.29/22.94 inference(miniscoping,[status(esa)],[f11])).
% 178.29/22.94 fof(f47,plain,(
% 178.29/22.94 ![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))),
% 178.29/22.94 inference(cnf_transformation,[status(esa)],[f46])).
% 178.29/22.94 fof(f52,plain,(
% 178.29/22.94 defined(additive_identity)),
% 178.29/22.94 inference(cnf_transformation,[status(esa)],[f14])).
% 178.29/22.94 fof(f56,plain,(
% 178.29/22.94 defined(multiplicative_identity)),
% 178.29/22.94 inference(cnf_transformation,[status(esa)],[f17])).
% 178.29/22.94 fof(f57,plain,(
% 178.29/22.94 ![X0]: (defined(multiplicative_inverse(X0))|~defined(X0)|sum(additive_identity,X0,additive_identity))),
% 178.29/22.94 inference(cnf_transformation,[status(esa)],[f18])).
% 178.29/22.94 fof(f70,plain,(
% 178.29/22.94 ~sum(additive_identity,additive_identity,multiplicative_identity)),
% 178.29/22.94 inference(cnf_transformation,[status(esa)],[f26])).
% 178.29/22.94 fof(f71,plain,(
% 178.29/22.94 defined(a)),
% 178.29/22.94 inference(cnf_transformation,[status(esa)],[f27])).
% 178.29/22.94 fof(f72,plain,(
% 178.29/22.94 defined(b)),
% 178.29/22.94 inference(cnf_transformation,[status(esa)],[f28])).
% 178.29/22.94 fof(f73,plain,(
% 178.29/22.94 ~sum(additive_identity,a,additive_identity)),
% 178.29/22.94 inference(cnf_transformation,[status(esa)],[f29])).
% 178.29/22.94 fof(f74,plain,(
% 178.29/22.94 product(multiplicative_identity,a,b)),
% 178.29/22.94 inference(cnf_transformation,[status(esa)],[f30])).
% 178.29/22.94 fof(f75,plain,(
% 178.29/22.94 ~product(multiplicative_identity,multiplicative_inverse(a),multiplicative_inverse(b))),
% 178.29/22.94 inference(cnf_transformation,[status(esa)],[f31])).
% 178.29/22.94 fof(f77,plain,(
% 178.29/22.94 ![X0,X1,X2,X3]: (~defined(X0)|sum(X1,X2,X0)|~sum(X1,X3,additive_identity)|~sum(X3,X0,X2))),
% 178.29/22.94 inference(resolution,[status(thm)],[f36,f33])).
% 178.29/22.94 fof(f81,plain,(
% 178.29/22.94 product(a,multiplicative_identity,b)),
% 178.29/22.94 inference(resolution,[status(thm)],[f45,f74])).
% 178.29/22.94 fof(f82,plain,(
% 178.29/22.94 ![X0]: (product(X0,multiplicative_identity,X0)|~defined(X0))),
% 178.29/22.94 inference(resolution,[status(thm)],[f45,f43])).
% 178.29/22.94 fof(f84,plain,(
% 178.29/22.94 spl0_0 <=> ~defined(X0)|sum(additive_identity,X1,X0)|~sum(additive_identity,X0,X1)),
% 178.29/22.94 introduced(split_symbol_definition)).
% 178.29/22.94 fof(f85,plain,(
% 178.29/22.94 ![X0,X1]: (~defined(X0)|sum(additive_identity,X1,X0)|~sum(additive_identity,X0,X1)|~spl0_0)),
% 178.29/22.94 inference(component_clause,[status(thm)],[f84])).
% 178.29/22.94 fof(f87,plain,(
% 178.29/22.94 spl0_1 <=> defined(additive_identity)),
% 178.29/22.94 introduced(split_symbol_definition)).
% 178.29/22.94 fof(f89,plain,(
% 178.29/22.94 ~defined(additive_identity)|spl0_1),
% 178.29/22.94 inference(component_clause,[status(thm)],[f87])).
% 178.29/22.94 fof(f90,plain,(
% 178.29/22.94 ![X0,X1]: (~defined(X0)|sum(additive_identity,X1,X0)|~sum(additive_identity,X0,X1)|~defined(additive_identity))),
% 178.29/22.94 inference(resolution,[status(thm)],[f77,f36])).
% 178.29/22.94 fof(f91,plain,(
% 178.29/22.94 spl0_0|~spl0_1),
% 178.29/22.94 inference(split_clause,[status(thm)],[f90,f84,f87])).
% 178.29/22.94 fof(f92,plain,(
% 178.29/22.94 $false|spl0_1),
% 178.29/22.94 inference(forward_subsumption_resolution,[status(thm)],[f89,f52])).
% 178.29/22.94 fof(f93,plain,(
% 178.29/22.94 spl0_1),
% 178.29/22.94 inference(contradiction_clause,[status(thm)],[f92])).
% 178.29/22.94 fof(f107,plain,(
% 178.29/22.94 ![X0,X1,X2]: (product(X0,b,X1)|~product(X0,multiplicative_identity,X2)|~product(X2,a,X1))),
% 178.29/22.94 inference(resolution,[status(thm)],[f40,f74])).
% 178.29/22.94 fof(f112,plain,(
% 178.29/22.94 ![X0,X1,X2,X3]: (product(X0,X1,X2)|~product(X0,X3,multiplicative_identity)|~product(X3,X2,X1)|~defined(X2))),
% 178.29/22.94 inference(resolution,[status(thm)],[f40,f43])).
% 178.29/22.94 fof(f117,plain,(
% 178.29/22.94 spl0_4 <=> defined(a)),
% 178.29/22.94 introduced(split_symbol_definition)).
% 178.29/22.94 fof(f119,plain,(
% 178.29/22.94 ~defined(a)|spl0_4),
% 178.29/22.94 inference(component_clause,[status(thm)],[f117])).
% 178.29/22.94 fof(f122,plain,(
% 178.29/22.94 $false|spl0_4),
% 178.29/22.94 inference(forward_subsumption_resolution,[status(thm)],[f119,f71])).
% 178.29/22.94 fof(f123,plain,(
% 178.29/22.94 spl0_4),
% 178.29/22.94 inference(contradiction_clause,[status(thm)],[f122])).
% 178.29/22.94 fof(f125,plain,(
% 178.29/22.94 spl0_5 <=> product(X0,b,a)|~product(X0,multiplicative_identity,multiplicative_identity)),
% 178.29/22.94 introduced(split_symbol_definition)).
% 178.29/22.94 fof(f126,plain,(
% 178.29/22.94 ![X0]: (product(X0,b,a)|~product(X0,multiplicative_identity,multiplicative_identity)|~spl0_5)),
% 178.29/22.94 inference(component_clause,[status(thm)],[f125])).
% 178.29/22.94 fof(f128,plain,(
% 178.29/22.94 ![X0]: (product(X0,b,a)|~product(X0,multiplicative_identity,multiplicative_identity)|~defined(a))),
% 178.29/22.94 inference(resolution,[status(thm)],[f107,f43])).
% 178.29/22.94 fof(f129,plain,(
% 178.29/22.94 spl0_5|~spl0_4),
% 178.29/22.94 inference(split_clause,[status(thm)],[f128,f125,f117])).
% 178.29/22.94 fof(f134,plain,(
% 178.29/22.94 spl0_7 <=> defined(multiplicative_identity)),
% 178.29/22.94 introduced(split_symbol_definition)).
% 178.29/22.94 fof(f136,plain,(
% 178.29/22.94 ~defined(multiplicative_identity)|spl0_7),
% 178.29/22.94 inference(component_clause,[status(thm)],[f134])).
% 178.29/22.94 fof(f139,plain,(
% 178.29/22.94 $false|spl0_7),
% 178.29/22.94 inference(forward_subsumption_resolution,[status(thm)],[f136,f56])).
% 178.29/22.94 fof(f140,plain,(
% 178.29/22.94 spl0_7),
% 178.29/22.94 inference(contradiction_clause,[status(thm)],[f139])).
% 178.29/22.94 fof(f165,plain,(
% 178.29/22.94 spl0_11 <=> defined(b)),
% 178.29/22.94 introduced(split_symbol_definition)).
% 178.29/22.94 fof(f167,plain,(
% 178.29/22.94 ~defined(b)|spl0_11),
% 178.29/22.94 inference(component_clause,[status(thm)],[f165])).
% 178.29/22.94 fof(f170,plain,(
% 178.29/22.94 $false|spl0_11),
% 178.29/22.94 inference(forward_subsumption_resolution,[status(thm)],[f167,f72])).
% 178.29/22.94 fof(f171,plain,(
% 178.29/22.94 spl0_11),
% 178.29/22.94 inference(contradiction_clause,[status(thm)],[f170])).
% 178.29/22.94 fof(f189,plain,(
% 178.29/22.94 spl0_14 <=> product(multiplicative_identity,b,a)),
% 178.29/22.94 introduced(split_symbol_definition)).
% 178.29/22.94 fof(f190,plain,(
% 178.29/22.94 product(multiplicative_identity,b,a)|~spl0_14),
% 178.29/22.94 inference(component_clause,[status(thm)],[f189])).
% 178.29/22.94 fof(f192,plain,(
% 178.29/22.94 product(multiplicative_identity,b,a)|~defined(multiplicative_identity)|~spl0_5),
% 178.29/22.94 inference(resolution,[status(thm)],[f126,f43])).
% 178.29/22.94 fof(f193,plain,(
% 178.29/22.94 spl0_14|~spl0_7|~spl0_5),
% 178.29/22.94 inference(split_clause,[status(thm)],[f192,f189,f134,f125])).
% 178.29/22.94 fof(f198,plain,(
% 178.29/22.94 product(b,multiplicative_identity,a)|~spl0_14),
% 178.29/22.94 inference(resolution,[status(thm)],[f190,f45])).
% 178.29/22.94 fof(f350,plain,(
% 178.29/22.94 ![X0,X1,X2,X3]: (product(X0,X1,X2)|~product(multiplicative_identity,X3,X0)|~product(X3,X1,X2)|~defined(X2))),
% 178.29/22.94 inference(resolution,[status(thm)],[f42,f43])).
% 178.29/22.94 fof(f443,plain,(
% 178.29/22.94 ![X0,X1]: (product(b,X0,X1)|~product(a,X0,X1)|~defined(X1))),
% 178.29/22.94 inference(resolution,[status(thm)],[f350,f74])).
% 178.29/22.94 fof(f460,plain,(
% 178.29/22.94 ![X0,X1,X2,X3]: (sum(X0,X1,a)|~sum(X2,X3,b)|~product(X2,multiplicative_identity,X0)|~product(X3,multiplicative_identity,X1)|~spl0_14)),
% 178.29/22.94 inference(resolution,[status(thm)],[f47,f198])).
% 178.29/22.94 fof(f604,plain,(
% 178.29/22.94 spl0_48 <=> sum(additive_identity,b,additive_identity)),
% 178.29/22.94 introduced(split_symbol_definition)).
% 178.29/22.94 fof(f605,plain,(
% 178.29/22.94 sum(additive_identity,b,additive_identity)|~spl0_48),
% 178.29/22.94 inference(component_clause,[status(thm)],[f604])).
% 178.29/22.94 fof(f606,plain,(
% 178.29/22.94 ~sum(additive_identity,b,additive_identity)|spl0_48),
% 178.29/22.94 inference(component_clause,[status(thm)],[f604])).
% 178.29/22.94 fof(f732,plain,(
% 178.29/22.94 spl0_74 <=> sum(additive_identity,a,additive_identity)),
% 178.29/22.94 introduced(split_symbol_definition)).
% 178.29/22.94 fof(f733,plain,(
% 178.29/22.94 sum(additive_identity,a,additive_identity)|~spl0_74),
% 178.29/22.94 inference(component_clause,[status(thm)],[f732])).
% 178.29/22.94 fof(f807,plain,(
% 178.29/22.94 $false|~spl0_74),
% 178.29/22.94 inference(forward_subsumption_resolution,[status(thm)],[f733,f73])).
% 178.29/22.94 fof(f808,plain,(
% 178.29/22.94 ~spl0_74),
% 178.29/22.94 inference(contradiction_clause,[status(thm)],[f807])).
% 178.29/22.94 fof(f990,plain,(
% 178.29/22.94 ![X0]: (~defined(X0)|sum(X0,X0,a)|~sum(X0,X0,b)|~spl0_14)),
% 178.29/22.94 inference(resolution,[status(thm)],[f82,f460])).
% 178.29/22.94 fof(f1018,plain,(
% 178.29/22.94 ![X0,X1,X2,X3]: (~defined(X0)|product(X1,X2,X0)|~product(X1,X3,X0)|~product(X3,multiplicative_identity,X2))),
% 178.29/22.94 inference(resolution,[status(thm)],[f82,f40])).
% 178.29/22.94 fof(f1026,plain,(
% 178.29/22.94 spl0_106 <=> sum(additive_identity,additive_identity,multiplicative_identity)),
% 178.29/22.94 introduced(split_symbol_definition)).
% 178.29/22.94 fof(f1027,plain,(
% 178.29/22.94 sum(additive_identity,additive_identity,multiplicative_identity)|~spl0_106),
% 178.29/22.94 inference(component_clause,[status(thm)],[f1026])).
% 178.29/22.94 fof(f1038,plain,(
% 178.29/22.94 $false|~spl0_106),
% 178.29/22.94 inference(forward_subsumption_resolution,[status(thm)],[f1027,f70])).
% 178.29/22.94 fof(f1039,plain,(
% 178.29/22.94 ~spl0_106),
% 178.29/22.94 inference(contradiction_clause,[status(thm)],[f1038])).
% 178.29/22.94 fof(f1041,plain,(
% 178.29/22.94 spl0_107 <=> sum(additive_identity,additive_identity,b)),
% 178.29/22.94 introduced(split_symbol_definition)).
% 178.29/22.94 fof(f1042,plain,(
% 178.29/22.94 sum(additive_identity,additive_identity,b)|~spl0_107),
% 178.29/22.94 inference(component_clause,[status(thm)],[f1041])).
% 178.29/22.94 fof(f1044,plain,(
% 178.29/22.94 ~defined(b)|sum(additive_identity,additive_identity,b)|~spl0_48|~spl0_0),
% 178.29/22.94 inference(resolution,[status(thm)],[f605,f85])).
% 178.29/22.94 fof(f1045,plain,(
% 178.29/22.94 ~spl0_11|spl0_107|~spl0_48|~spl0_0),
% 178.29/22.94 inference(split_clause,[status(thm)],[f1044,f165,f1041,f604,f84])).
% 178.29/22.94 fof(f1388,plain,(
% 178.29/22.94 spl0_119 <=> sum(additive_identity,additive_identity,a)),
% 178.29/22.94 introduced(split_symbol_definition)).
% 178.29/22.94 fof(f1389,plain,(
% 178.29/22.94 sum(additive_identity,additive_identity,a)|~spl0_119),
% 178.29/22.94 inference(component_clause,[status(thm)],[f1388])).
% 178.29/22.94 fof(f1391,plain,(
% 178.29/22.94 ~defined(additive_identity)|sum(additive_identity,additive_identity,a)|~spl0_14|~spl0_107),
% 178.29/22.94 inference(resolution,[status(thm)],[f990,f1042])).
% 178.29/22.94 fof(f1392,plain,(
% 178.29/22.94 ~spl0_1|spl0_119|~spl0_14|~spl0_107),
% 178.29/22.94 inference(split_clause,[status(thm)],[f1391,f87,f1388,f189,f1041])).
% 178.29/22.94 fof(f1395,plain,(
% 178.29/22.94 ~defined(additive_identity)|sum(additive_identity,a,additive_identity)|~spl0_119|~spl0_0),
% 178.29/22.94 inference(resolution,[status(thm)],[f1389,f85])).
% 178.29/22.94 fof(f1396,plain,(
% 178.29/22.94 ~spl0_1|spl0_74|~spl0_119|~spl0_0),
% 178.29/22.94 inference(split_clause,[status(thm)],[f1395,f87,f732,f1388,f84])).
% 178.29/22.94 fof(f2182,plain,(
% 178.29/22.94 ![X0,X1]: (~defined(X0)|product(X1,a,X0)|~product(X1,b,X0)|~spl0_14)),
% 178.29/22.94 inference(resolution,[status(thm)],[f1018,f198])).
% 178.29/22.94 fof(f2183,plain,(
% 178.29/22.94 ![X0,X1]: (~defined(X0)|product(X1,b,X0)|~product(X1,a,X0))),
% 178.29/22.94 inference(resolution,[status(thm)],[f1018,f81])).
% 178.29/22.94 fof(f2198,plain,(
% 178.29/22.94 spl0_224 <=> product(multiplicative_inverse(b),a,multiplicative_identity)),
% 178.29/22.94 introduced(split_symbol_definition)).
% 178.29/22.94 fof(f2199,plain,(
% 178.29/22.94 product(multiplicative_inverse(b),a,multiplicative_identity)|~spl0_224),
% 178.29/22.94 inference(component_clause,[status(thm)],[f2198])).
% 178.29/22.94 fof(f2201,plain,(
% 178.29/22.94 ~defined(multiplicative_identity)|product(multiplicative_inverse(b),a,multiplicative_identity)|sum(additive_identity,b,additive_identity)|~defined(b)|~spl0_14),
% 178.29/22.94 inference(resolution,[status(thm)],[f2182,f44])).
% 178.29/22.94 fof(f2202,plain,(
% 178.29/22.94 ~spl0_7|spl0_224|spl0_48|~spl0_11|~spl0_14),
% 178.29/22.94 inference(split_clause,[status(thm)],[f2201,f134,f2198,f604,f165,f189])).
% 178.29/22.94 fof(f2235,plain,(
% 178.29/22.94 product(a,multiplicative_inverse(b),multiplicative_identity)|~spl0_224),
% 178.29/22.94 inference(resolution,[status(thm)],[f2199,f45])).
% 178.29/22.94 fof(f2952,plain,(
% 178.29/22.94 spl0_341 <=> defined(multiplicative_inverse(b))),
% 178.29/22.94 introduced(split_symbol_definition)).
% 178.29/22.94 fof(f3029,plain,(
% 178.29/22.94 spl0_349 <=> product(b,multiplicative_inverse(b),multiplicative_identity)),
% 178.29/22.94 introduced(split_symbol_definition)).
% 178.29/22.94 fof(f3032,plain,(
% 178.29/22.94 product(b,multiplicative_inverse(b),multiplicative_identity)|~defined(multiplicative_identity)|~spl0_224),
% 178.29/22.94 inference(resolution,[status(thm)],[f2235,f443])).
% 178.29/22.94 fof(f3033,plain,(
% 178.29/22.94 spl0_349|~spl0_7|~spl0_224),
% 178.29/22.94 inference(split_clause,[status(thm)],[f3032,f3029,f134,f2198])).
% 178.29/22.94 fof(f4720,plain,(
% 178.29/22.94 spl0_489 <=> product(multiplicative_inverse(a),b,multiplicative_identity)),
% 178.29/22.94 introduced(split_symbol_definition)).
% 178.29/22.94 fof(f4721,plain,(
% 178.29/22.94 product(multiplicative_inverse(a),b,multiplicative_identity)|~spl0_489),
% 178.29/22.94 inference(component_clause,[status(thm)],[f4720])).
% 178.29/22.94 fof(f4723,plain,(
% 178.29/22.94 ~defined(multiplicative_identity)|product(multiplicative_inverse(a),b,multiplicative_identity)|sum(additive_identity,a,additive_identity)|~defined(a)),
% 178.29/22.94 inference(resolution,[status(thm)],[f2183,f44])).
% 178.29/22.94 fof(f4724,plain,(
% 178.29/22.94 ~spl0_7|spl0_489|spl0_74|~spl0_4),
% 178.29/22.94 inference(split_clause,[status(thm)],[f4723,f134,f4720,f732,f117])).
% 178.29/22.94 fof(f4748,plain,(
% 178.29/22.94 ![X0,X1]: (product(multiplicative_inverse(a),X0,X1)|~product(b,X1,X0)|~defined(X1)|~spl0_489)),
% 178.29/22.94 inference(resolution,[status(thm)],[f4721,f112])).
% 178.29/22.94 fof(f8427,plain,(
% 178.29/22.94 ![X0,X1]: (~product(b,X0,X1)|~defined(X0)|product(X1,multiplicative_inverse(a),X0)|~spl0_489)),
% 178.29/22.94 inference(resolution,[status(thm)],[f4748,f45])).
% 178.29/22.94 fof(f9306,plain,(
% 178.29/22.94 ~product(b,multiplicative_inverse(b),multiplicative_identity)|~defined(multiplicative_inverse(b))|~spl0_489),
% 178.29/22.94 inference(resolution,[status(thm)],[f8427,f75])).
% 178.29/22.94 fof(f9307,plain,(
% 178.29/22.94 ~spl0_349|~spl0_341|~spl0_489),
% 178.29/22.94 inference(split_clause,[status(thm)],[f9306,f3029,f2952,f4720])).
% 178.29/22.94 fof(f18718,plain,(
% 178.29/22.94 defined(multiplicative_inverse(b))|~defined(b)|spl0_48),
% 178.29/22.94 inference(resolution,[status(thm)],[f606,f57])).
% 178.29/22.94 fof(f18719,plain,(
% 178.29/22.94 spl0_341|~spl0_11|spl0_48),
% 178.29/22.94 inference(split_clause,[status(thm)],[f18718,f2952,f165,f604])).
% 178.29/22.94 fof(f18722,plain,(
% 178.88/22.99 $false),
% 178.88/22.99 inference(sat_refutation,[status(thm)],[f91,f93,f123,f129,f140,f171,f193,f808,f1039,f1045,f1392,f1396,f2202,f3033,f4724,f9307,f18719])).
% 178.88/22.99 % SZS output end CNFRefutation for theBenchmark.p
% 181.67/24.14 % Elapsed time: 23.617369 seconds
% 181.67/24.14 % CPU time: 168.025736 seconds
% 181.67/24.14 % Memory used: 304.393 MB
%------------------------------------------------------------------------------