TSTP Solution File: ALG012-1 by Drodi---3.6.0
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- Process Solution
%------------------------------------------------------------------------------
% File : Drodi---3.6.0
% Problem : ALG012-1 : TPTP v8.1.2. Released v2.7.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% Computer : n020.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 : Tue Apr 30 20:08:56 EDT 2024
% Result : Unsatisfiable 5.68s 1.07s
% Output : CNFRefutation 5.68s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.10/0.11 % Problem : ALG012-1 : TPTP v8.1.2. Released v2.7.0.
% 0.10/0.12 % Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.11/0.32 % Computer : n020.cluster.edu
% 0.11/0.32 % Model : x86_64 x86_64
% 0.11/0.32 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.32 % Memory : 8042.1875MB
% 0.11/0.32 % OS : Linux 3.10.0-693.el7.x86_64
% 0.11/0.32 % CPULimit : 300
% 0.11/0.32 % WCLimit : 300
% 0.11/0.32 % DateTime : Mon Apr 29 23:25:47 EDT 2024
% 0.11/0.33 % CPUTime :
% 0.11/0.34 % Drodi V3.6.0
% 5.68/1.07 % Refutation found
% 5.68/1.07 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 5.68/1.07 % SZS output start CNFRefutation for theBenchmark
% 5.68/1.07 fof(f1,axiom,(
% 5.68/1.07 (![X,Y,Z]: (f(X,f(Y,Z)) = f(f(X,Y),Z) ))),
% 5.68/1.07 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 5.68/1.07 fof(f2,axiom,(
% 5.68/1.07 (![X]: (( c(X)| d1(X)| d2(X) ) ))),
% 5.68/1.07 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 5.68/1.07 fof(f3,hypothesis,(
% 5.68/1.07 (![X]: (( ~ c(X)| ~ d1(X) ) ))),
% 5.68/1.07 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 5.68/1.07 fof(f4,hypothesis,(
% 5.68/1.07 (![X]: (( ~ c(X)| ~ d2(X) ) ))),
% 5.68/1.07 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 5.68/1.07 fof(f6,hypothesis,(
% 5.68/1.07 c(a1) ),
% 5.68/1.07 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 5.68/1.07 fof(f7,hypothesis,(
% 5.68/1.07 d1(a2) ),
% 5.68/1.07 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 5.68/1.07 fof(f8,hypothesis,(
% 5.68/1.07 d2(a3) ),
% 5.68/1.07 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 5.68/1.07 fof(f9,negated_conjecture,(
% 5.68/1.07 (![X,Y]: (( d2(f(X,Y))| d1(f(X,Y))| ~ c(X)| ~ c(Y) ) ))),
% 5.68/1.07 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 5.68/1.07 fof(f10,negated_conjecture,(
% 5.68/1.07 (![X,Y]: (( c(f(X,Y))| ~ d1(X)| ~ d1(Y) ) ))),
% 5.68/1.07 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 5.68/1.07 fof(f11,negated_conjecture,(
% 5.68/1.07 (![X,Y]: (( c(f(X,Y))| ~ d2(X)| ~ d2(Y) ) ))),
% 5.68/1.07 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 5.68/1.07 fof(f12,plain,(
% 5.68/1.07 ![X0,X1,X2]: (f(X0,f(X1,X2))=f(f(X0,X1),X2))),
% 5.68/1.07 inference(cnf_transformation,[status(esa)],[f1])).
% 5.68/1.07 fof(f13,plain,(
% 5.68/1.07 ![X0]: (c(X0)|d1(X0)|d2(X0))),
% 5.68/1.07 inference(cnf_transformation,[status(esa)],[f2])).
% 5.68/1.07 fof(f14,plain,(
% 5.68/1.07 ![X0]: (~c(X0)|~d1(X0))),
% 5.68/1.07 inference(cnf_transformation,[status(esa)],[f3])).
% 5.68/1.07 fof(f15,plain,(
% 5.68/1.07 ![X0]: (~c(X0)|~d2(X0))),
% 5.68/1.07 inference(cnf_transformation,[status(esa)],[f4])).
% 5.68/1.07 fof(f17,plain,(
% 5.68/1.07 c(a1)),
% 5.68/1.07 inference(cnf_transformation,[status(esa)],[f6])).
% 5.68/1.07 fof(f18,plain,(
% 5.68/1.07 d1(a2)),
% 5.68/1.07 inference(cnf_transformation,[status(esa)],[f7])).
% 5.68/1.07 fof(f19,plain,(
% 5.68/1.07 d2(a3)),
% 5.68/1.07 inference(cnf_transformation,[status(esa)],[f8])).
% 5.68/1.07 fof(f20,plain,(
% 5.68/1.07 ![Y]: ((![X]: ((d2(f(X,Y))|d1(f(X,Y)))|~c(X)))|~c(Y))),
% 5.68/1.07 inference(miniscoping,[status(esa)],[f9])).
% 5.68/1.07 fof(f21,plain,(
% 5.68/1.07 ![X0,X1]: (d2(f(X0,X1))|d1(f(X0,X1))|~c(X0)|~c(X1))),
% 5.68/1.07 inference(cnf_transformation,[status(esa)],[f20])).
% 5.68/1.07 fof(f22,plain,(
% 5.68/1.07 ![Y]: ((![X]: (c(f(X,Y))|~d1(X)))|~d1(Y))),
% 5.68/1.07 inference(miniscoping,[status(esa)],[f10])).
% 5.68/1.07 fof(f23,plain,(
% 5.68/1.07 ![X0,X1]: (c(f(X0,X1))|~d1(X0)|~d1(X1))),
% 5.68/1.07 inference(cnf_transformation,[status(esa)],[f22])).
% 5.68/1.07 fof(f24,plain,(
% 5.68/1.07 ![Y]: ((![X]: (c(f(X,Y))|~d2(X)))|~d2(Y))),
% 5.68/1.07 inference(miniscoping,[status(esa)],[f11])).
% 5.68/1.07 fof(f25,plain,(
% 5.68/1.07 ![X0,X1]: (c(f(X0,X1))|~d2(X0)|~d2(X1))),
% 5.68/1.07 inference(cnf_transformation,[status(esa)],[f24])).
% 5.68/1.07 fof(f26,plain,(
% 5.68/1.07 ![X0,X1]: (~c(f(X0,X1))|d1(f(X0,X1))|~c(X0)|~c(X1))),
% 5.68/1.07 inference(resolution,[status(thm)],[f15,f21])).
% 5.68/1.07 fof(f27,plain,(
% 5.68/1.07 ![X0,X1]: (~c(f(X0,X1))|~c(X0)|~c(X1))),
% 5.68/1.07 inference(forward_subsumption_resolution,[status(thm)],[f26,f14])).
% 5.68/1.07 fof(f28,plain,(
% 5.68/1.07 spl0_0 <=> ~c(X0)|~d2(X0)),
% 5.68/1.07 introduced(split_symbol_definition)).
% 5.68/1.07 fof(f31,plain,(
% 5.68/1.07 ![X0,X1]: (~c(X0)|~c(X1)|~d2(X0)|~d2(X1))),
% 5.68/1.07 inference(resolution,[status(thm)],[f27,f25])).
% 5.68/1.07 fof(f32,plain,(
% 5.68/1.07 spl0_0),
% 5.68/1.07 inference(split_clause,[status(thm)],[f31,f28])).
% 5.68/1.07 fof(f33,plain,(
% 5.68/1.07 spl0_1 <=> ~c(X0)|~d1(X0)),
% 5.68/1.07 introduced(split_symbol_definition)).
% 5.68/1.07 fof(f36,plain,(
% 5.68/1.07 ![X0,X1]: (~c(X0)|~c(X1)|~d1(X0)|~d1(X1))),
% 5.68/1.07 inference(resolution,[status(thm)],[f27,f23])).
% 5.68/1.07 fof(f37,plain,(
% 5.68/1.07 spl0_1),
% 5.68/1.07 inference(split_clause,[status(thm)],[f36,f33])).
% 5.68/1.07 fof(f39,plain,(
% 5.68/1.07 ![X0,X1,X2]: (~c(f(X0,f(X1,X2)))|~c(f(X0,X1))|~c(X2))),
% 5.68/1.07 inference(paramodulation,[status(thm)],[f12,f27])).
% 5.68/1.07 fof(f40,plain,(
% 5.68/1.07 ![X0,X1,X2]: (d2(f(X0,f(X1,X2)))|d1(f(f(X0,X1),X2))|~c(f(X0,X1))|~c(X2))),
% 5.68/1.07 inference(paramodulation,[status(thm)],[f12,f21])).
% 5.68/1.07 fof(f41,plain,(
% 5.68/1.07 ![X0,X1,X2]: (c(f(X0,f(X1,X2)))|~d2(f(X0,X1))|~d2(X2))),
% 5.68/1.07 inference(paramodulation,[status(thm)],[f12,f25])).
% 5.68/1.07 fof(f42,plain,(
% 5.68/1.07 ![X0,X1,X2]: (c(f(X0,f(X1,X2)))|~d1(f(X0,X1))|~d1(X2))),
% 5.68/1.07 inference(paramodulation,[status(thm)],[f12,f23])).
% 5.68/1.07 fof(f43,plain,(
% 5.68/1.07 ![X0,X1,X2]: (~c(f(X0,X1))|~c(X2)|~d2(X0)|~d2(f(X1,X2)))),
% 5.68/1.07 inference(resolution,[status(thm)],[f39,f25])).
% 5.68/1.08 fof(f44,plain,(
% 5.68/1.08 ![X0,X1,X2]: (~c(f(X0,X1))|~c(X2)|~d1(X0)|~d1(f(X1,X2)))),
% 5.68/1.08 inference(resolution,[status(thm)],[f39,f23])).
% 5.68/1.08 fof(f47,plain,(
% 5.68/1.08 spl0_2 <=> ~c(X0)|~d2(f(X2,X0))|~d2(X2)),
% 5.68/1.08 introduced(split_symbol_definition)).
% 5.68/1.08 fof(f48,plain,(
% 5.68/1.08 ![X0,X1]: (~c(X0)|~d2(f(X1,X0))|~d2(X1)|~spl0_2)),
% 5.68/1.08 inference(component_clause,[status(thm)],[f47])).
% 5.68/1.08 fof(f50,plain,(
% 5.68/1.08 spl0_3 <=> ~d2(X1)|~d2(X1)),
% 5.68/1.08 introduced(split_symbol_definition)).
% 5.68/1.08 fof(f51,plain,(
% 5.68/1.08 ![X0]: (~d2(X0)|~d2(X0)|~spl0_3)),
% 5.68/1.08 inference(component_clause,[status(thm)],[f50])).
% 5.68/1.08 fof(f53,plain,(
% 5.68/1.08 ![X0,X1,X2]: (~c(X0)|~d2(X1)|~d2(f(X2,X0))|~d2(X1)|~d2(X2))),
% 5.68/1.08 inference(resolution,[status(thm)],[f43,f25])).
% 5.68/1.08 fof(f54,plain,(
% 5.68/1.08 spl0_2|spl0_3),
% 5.68/1.08 inference(split_clause,[status(thm)],[f53,f47,f50])).
% 5.68/1.08 fof(f63,plain,(
% 5.68/1.08 ![X0,X1,X2]: (~c(f(X0,X1))|~c(X2)|~d2(X0)|d1(f(X1,X2))|~c(X1)|~c(X2))),
% 5.68/1.08 inference(resolution,[status(thm)],[f43,f21])).
% 5.68/1.08 fof(f64,plain,(
% 5.68/1.08 ![X0,X1,X2]: (~c(f(X0,X1))|~c(X2)|~d2(X0)|d1(f(X1,X2))|~c(X1))),
% 5.68/1.08 inference(duplicate_literals_removal,[status(esa)],[f63])).
% 5.68/1.08 fof(f65,plain,(
% 5.68/1.08 ![X0,X1,X2]: (~c(f(X0,X1))|~c(X2)|~d2(X0)|c(f(X1,X2))|d1(f(X1,X2)))),
% 5.68/1.08 inference(resolution,[status(thm)],[f43,f13])).
% 5.68/1.08 fof(f74,plain,(
% 5.68/1.08 ![X0,X1]: (~c(X0)|~d2(X1)|c(f(X1,X0))|d1(f(X1,X0))|~spl0_2)),
% 5.68/1.08 inference(resolution,[status(thm)],[f48,f13])).
% 5.68/1.08 fof(f81,plain,(
% 5.68/1.08 spl0_7 <=> ~c(X0)|~d1(f(X2,X0))|~d1(X2)),
% 5.68/1.08 introduced(split_symbol_definition)).
% 5.68/1.08 fof(f82,plain,(
% 5.68/1.08 ![X0,X1]: (~c(X0)|~d1(f(X1,X0))|~d1(X1)|~spl0_7)),
% 5.68/1.08 inference(component_clause,[status(thm)],[f81])).
% 5.68/1.08 fof(f84,plain,(
% 5.68/1.08 spl0_8 <=> ~d1(X1)|~d1(X1)),
% 5.68/1.08 introduced(split_symbol_definition)).
% 5.68/1.08 fof(f85,plain,(
% 5.68/1.08 ![X0]: (~d1(X0)|~d1(X0)|~spl0_8)),
% 5.68/1.08 inference(component_clause,[status(thm)],[f84])).
% 5.68/1.08 fof(f87,plain,(
% 5.68/1.08 ![X0,X1,X2]: (~c(X0)|~d1(X1)|~d1(f(X2,X0))|~d1(X1)|~d1(X2))),
% 5.68/1.08 inference(resolution,[status(thm)],[f44,f23])).
% 5.68/1.08 fof(f88,plain,(
% 5.68/1.08 spl0_7|spl0_8),
% 5.68/1.08 inference(split_clause,[status(thm)],[f87,f81,f84])).
% 5.68/1.08 fof(f94,plain,(
% 5.68/1.08 ![X0,X1,X2]: (~c(X0)|~d2(X1)|c(f(X1,X0))|~c(f(X2,X1))|~c(X0)|~d1(X2)|~spl0_2)),
% 5.68/1.08 inference(resolution,[status(thm)],[f74,f44])).
% 5.68/1.08 fof(f95,plain,(
% 5.68/1.08 ![X0,X1,X2]: (~c(X0)|~d2(X1)|c(f(X1,X0))|~c(f(X2,X1))|~d1(X2)|~spl0_2)),
% 5.68/1.08 inference(duplicate_literals_removal,[status(esa)],[f94])).
% 5.68/1.08 fof(f97,plain,(
% 5.68/1.08 ![X0,X1,X2]: (d1(f(f(X0,X1),X2))|~c(f(X0,X1))|~c(X2)|~c(f(X1,X2))|~d2(X0)|~spl0_2)),
% 5.68/1.08 inference(resolution,[status(thm)],[f40,f48])).
% 5.68/1.08 fof(f110,plain,(
% 5.68/1.08 ![X0,X1,X2]: (~d2(f(X0,X1))|~d2(X2)|~c(X0)|~c(f(X1,X2)))),
% 5.68/1.08 inference(resolution,[status(thm)],[f41,f27])).
% 5.68/1.08 fof(f114,plain,(
% 5.68/1.08 ![X0,X1,X2]: (~d2(X0)|~c(X1)|~c(f(X2,X0))|d1(f(X1,X2))|~c(X1)|~c(X2))),
% 5.68/1.08 inference(resolution,[status(thm)],[f110,f21])).
% 5.68/1.08 fof(f115,plain,(
% 5.68/1.08 ![X0,X1,X2]: (~d2(X0)|~c(X1)|~c(f(X2,X0))|d1(f(X1,X2))|~c(X2))),
% 5.68/1.08 inference(duplicate_literals_removal,[status(esa)],[f114])).
% 5.68/1.08 fof(f118,plain,(
% 5.68/1.08 spl0_10 <=> ~d2(f(X0,X1))|~c(X0)|~d2(X1)),
% 5.68/1.08 introduced(split_symbol_definition)).
% 5.68/1.08 fof(f119,plain,(
% 5.68/1.08 ![X0,X1]: (~d2(f(X0,X1))|~c(X0)|~d2(X1)|~spl0_10)),
% 5.68/1.08 inference(component_clause,[status(thm)],[f118])).
% 5.68/1.08 fof(f121,plain,(
% 5.68/1.08 ![X0,X1,X2]: (~d2(f(X0,X1))|~d2(X2)|~c(X0)|~d2(X1)|~d2(X2))),
% 5.68/1.08 inference(resolution,[status(thm)],[f110,f25])).
% 5.68/1.08 fof(f122,plain,(
% 5.68/1.08 spl0_10|spl0_3),
% 5.68/1.08 inference(split_clause,[status(thm)],[f121,f118,f50])).
% 5.68/1.08 fof(f130,plain,(
% 5.68/1.08 ![X0]: (~d2(X0)|~spl0_3)),
% 5.68/1.08 inference(duplicate_literals_removal,[status(esa)],[f51])).
% 5.68/1.08 fof(f136,plain,(
% 5.68/1.08 $false|~spl0_3),
% 5.68/1.08 inference(backward_subsumption_resolution,[status(thm)],[f19,f130])).
% 5.68/1.08 fof(f137,plain,(
% 5.68/1.08 ~spl0_3),
% 5.68/1.08 inference(contradiction_clause,[status(thm)],[f136])).
% 5.68/1.08 fof(f186,plain,(
% 5.68/1.08 spl0_15 <=> ~c(X0)|~c(X3)|~d1(f(X0,X3))),
% 5.68/1.08 introduced(split_symbol_definition)).
% 5.68/1.08 fof(f187,plain,(
% 5.68/1.08 ![X0,X1]: (~c(X0)|~c(X1)|~d1(f(X0,X1))|~spl0_15)),
% 5.68/1.08 inference(component_clause,[status(thm)],[f186])).
% 5.68/1.08 fof(f194,plain,(
% 5.68/1.08 spl0_17 <=> ~c(X0)|~c(X0)),
% 5.68/1.08 introduced(split_symbol_definition)).
% 5.68/1.08 fof(f195,plain,(
% 5.68/1.08 ![X0]: (~c(X0)|~c(X0)|~spl0_17)),
% 5.68/1.08 inference(component_clause,[status(thm)],[f194])).
% 5.68/1.08 fof(f197,plain,(
% 5.68/1.08 spl0_18 <=> ~d2(X1)|~c(f(X2,X1))|~d1(X2)|~c(X1)),
% 5.68/1.08 introduced(split_symbol_definition)).
% 5.68/1.08 fof(f200,plain,(
% 5.68/1.08 ![X0,X1,X2]: (~c(X0)|~d2(X1)|~c(f(X2,X1))|~d1(X2)|~c(X1)|~c(X0)|~spl0_2)),
% 5.68/1.08 inference(resolution,[status(thm)],[f95,f27])).
% 5.68/1.08 fof(f201,plain,(
% 5.68/1.08 spl0_17|spl0_18|~spl0_2),
% 5.68/1.08 inference(split_clause,[status(thm)],[f200,f194,f197,f47])).
% 5.68/1.08 fof(f203,plain,(
% 5.68/1.08 ![X0]: (~c(X0)|~spl0_17)),
% 5.68/1.08 inference(duplicate_literals_removal,[status(esa)],[f195])).
% 5.68/1.08 fof(f207,plain,(
% 5.68/1.08 spl0_20 <=> ~c(X2)),
% 5.68/1.08 introduced(split_symbol_definition)).
% 5.68/1.08 fof(f208,plain,(
% 5.68/1.08 ![X0]: (~c(X0)|~spl0_20)),
% 5.68/1.08 inference(component_clause,[status(thm)],[f207])).
% 5.68/1.08 fof(f217,plain,(
% 5.68/1.08 spl0_22 <=> ~d2(X0)),
% 5.68/1.08 introduced(split_symbol_definition)).
% 5.68/1.08 fof(f218,plain,(
% 5.68/1.08 ![X0]: (~d2(X0)|~spl0_22)),
% 5.68/1.08 inference(component_clause,[status(thm)],[f217])).
% 5.68/1.08 fof(f222,plain,(
% 5.68/1.08 spl0_23 <=> ~d1(X0)),
% 5.68/1.08 introduced(split_symbol_definition)).
% 5.68/1.08 fof(f223,plain,(
% 5.68/1.08 ![X0]: (~d1(X0)|~spl0_23)),
% 5.68/1.08 inference(component_clause,[status(thm)],[f222])).
% 5.68/1.08 fof(f247,plain,(
% 5.68/1.08 $false|~spl0_17),
% 5.68/1.08 inference(backward_subsumption_resolution,[status(thm)],[f17,f203])).
% 5.68/1.08 fof(f248,plain,(
% 5.68/1.08 ~spl0_17),
% 5.68/1.08 inference(contradiction_clause,[status(thm)],[f247])).
% 5.68/1.08 fof(f251,plain,(
% 5.68/1.08 $false|~spl0_20),
% 5.68/1.08 inference(forward_subsumption_resolution,[status(thm)],[f17,f208])).
% 5.68/1.08 fof(f252,plain,(
% 5.68/1.08 ~spl0_20),
% 5.68/1.08 inference(contradiction_clause,[status(thm)],[f251])).
% 5.68/1.08 fof(f253,plain,(
% 5.68/1.08 ![X0,X1,X2]: (~c(f(X0,X1))|~c(X2)|~c(f(X1,X2))|~d2(X0)|~spl0_15|~spl0_2)),
% 5.68/1.08 inference(backward_subsumption_resolution,[status(thm)],[f97,f187])).
% 5.68/1.08 fof(f256,plain,(
% 5.68/1.08 ![X0,X1,X2]: (d2(f(X0,f(X1,X2)))|~c(f(X0,X1))|~c(X2)|~spl0_15)),
% 5.68/1.08 inference(backward_subsumption_resolution,[status(thm)],[f40,f187])).
% 5.68/1.08 fof(f273,plain,(
% 5.68/1.08 ![X0,X1,X2]: (~c(f(X0,X1))|~c(X2)|~d2(X0)|d1(f(X1,X2))|~spl0_15|~spl0_2)),
% 5.68/1.08 inference(forward_subsumption_resolution,[status(thm)],[f65,f253])).
% 5.68/1.08 fof(f280,plain,(
% 5.68/1.08 $false|~spl0_23),
% 5.68/1.08 inference(backward_subsumption_resolution,[status(thm)],[f18,f223])).
% 5.68/1.08 fof(f281,plain,(
% 5.68/1.08 ~spl0_23),
% 5.68/1.08 inference(contradiction_clause,[status(thm)],[f280])).
% 5.68/1.08 fof(f318,plain,(
% 5.68/1.08 ![X0]: (~d1(X0)|~spl0_8)),
% 5.68/1.08 inference(duplicate_literals_removal,[status(esa)],[f85])).
% 5.68/1.08 fof(f321,plain,(
% 5.68/1.08 $false|~spl0_8),
% 5.68/1.08 inference(backward_subsumption_resolution,[status(thm)],[f18,f318])).
% 5.68/1.08 fof(f322,plain,(
% 5.68/1.08 ~spl0_8),
% 5.68/1.08 inference(contradiction_clause,[status(thm)],[f321])).
% 5.68/1.08 fof(f374,plain,(
% 5.68/1.08 spl0_28 <=> ~c(f(X0,X1))|~d2(X0)|~c(X1)|~c(f(X3,X1))|~d1(X3)),
% 5.68/1.08 introduced(split_symbol_definition)).
% 5.68/1.08 fof(f377,plain,(
% 5.68/1.08 ![X0,X1,X2,X3]: (~c(f(X0,X1))|~c(X2)|~d2(X0)|~c(X1)|~c(f(X3,X1))|~c(X2)|~d1(X3))),
% 5.68/1.08 inference(resolution,[status(thm)],[f64,f44])).
% 5.68/1.08 fof(f378,plain,(
% 5.68/1.08 spl0_28|spl0_17),
% 5.68/1.08 inference(split_clause,[status(thm)],[f377,f374,f194])).
% 5.68/1.08 fof(f379,plain,(
% 5.68/1.08 spl0_29 <=> ~c(f(X0,X1))|~d2(X0)|~c(X1)|~d1(X1)),
% 5.68/1.08 introduced(split_symbol_definition)).
% 5.68/1.08 fof(f382,plain,(
% 5.68/1.08 ![X0,X1,X2]: (~c(f(X0,X1))|~c(X2)|~d2(X0)|~c(X1)|~c(X2)|~d1(X1)|~spl0_7)),
% 5.68/1.08 inference(resolution,[status(thm)],[f64,f82])).
% 5.68/1.08 fof(f383,plain,(
% 5.68/1.08 spl0_29|spl0_17|~spl0_7),
% 5.68/1.08 inference(split_clause,[status(thm)],[f382,f379,f194,f81])).
% 5.68/1.08 fof(f385,plain,(
% 5.68/1.08 spl0_30 <=> ~d2(X0)|~c(f(X2,X0))|~c(X2)|~c(X2)),
% 5.68/1.08 introduced(split_symbol_definition)).
% 5.68/1.08 fof(f386,plain,(
% 5.68/1.08 ![X0,X1]: (~d2(X0)|~c(f(X1,X0))|~c(X1)|~c(X1)|~spl0_30)),
% 5.68/1.08 inference(component_clause,[status(thm)],[f385])).
% 5.68/1.08 fof(f388,plain,(
% 5.68/1.08 spl0_31 <=> ~c(X1)|~c(f(X3,X1))|~d1(X3)),
% 5.68/1.08 introduced(split_symbol_definition)).
% 5.68/1.08 fof(f389,plain,(
% 5.68/1.08 ![X0,X1]: (~c(X0)|~c(f(X1,X0))|~d1(X1)|~spl0_31)),
% 5.68/1.08 inference(component_clause,[status(thm)],[f388])).
% 5.68/1.08 fof(f391,plain,(
% 5.68/1.08 ![X0,X1,X2,X3]: (~d2(X0)|~c(X1)|~c(f(X2,X0))|~c(X2)|~c(f(X3,X1))|~c(X2)|~d1(X3))),
% 5.68/1.08 inference(resolution,[status(thm)],[f115,f44])).
% 5.68/1.08 fof(f392,plain,(
% 5.68/1.08 spl0_30|spl0_31),
% 5.68/1.08 inference(split_clause,[status(thm)],[f391,f385,f388])).
% 5.68/1.08 fof(f396,plain,(
% 5.68/1.08 ![X0,X1]: (~d2(X0)|~c(f(X1,X0))|~c(X1)|~spl0_30)),
% 5.68/1.08 inference(duplicate_literals_removal,[status(esa)],[f386])).
% 5.68/1.08 fof(f403,plain,(
% 5.68/1.08 ![X0,X1,X2]: (~c(f(X0,X1))|~d1(X2)|~d2(f(X2,X0))|~d2(X1)|~spl0_31)),
% 5.68/1.08 inference(resolution,[status(thm)],[f389,f41])).
% 5.68/1.08 fof(f415,plain,(
% 5.68/1.08 spl0_33 <=> ~d1(X0)|~d2(f(X0,X1))|~d2(X1)),
% 5.68/1.08 introduced(split_symbol_definition)).
% 5.68/1.08 fof(f416,plain,(
% 5.68/1.08 ![X0,X1]: (~d1(X0)|~d2(f(X0,X1))|~d2(X1)|~spl0_33)),
% 5.68/1.08 inference(component_clause,[status(thm)],[f415])).
% 5.68/1.08 fof(f418,plain,(
% 5.68/1.08 ![X0,X1,X2]: (~d1(X0)|~d2(f(X0,X1))|~d2(X2)|~d2(X1)|~d2(X2)|~spl0_31)),
% 5.68/1.08 inference(resolution,[status(thm)],[f403,f25])).
% 5.68/1.08 fof(f419,plain,(
% 5.68/1.08 spl0_33|spl0_3|~spl0_31),
% 5.68/1.08 inference(split_clause,[status(thm)],[f418,f415,f50,f388])).
% 5.68/1.08 fof(f435,plain,(
% 5.68/1.08 ![X0,X1,X2]: (~d1(f(X0,X1))|~d1(X2)|~d2(f(X1,X2))|~c(X0)|~spl0_30)),
% 5.68/1.08 inference(resolution,[status(thm)],[f42,f396])).
% 5.68/1.08 fof(f440,plain,(
% 5.68/1.08 ![X0,X1,X2]: (~d1(f(X0,X1))|~d1(X2)|~c(X0)|~c(f(X1,X2)))),
% 5.68/1.08 inference(resolution,[status(thm)],[f42,f27])).
% 5.68/1.08 fof(f486,plain,(
% 5.68/1.08 ![X0,X1]: (c(f(X0,X1))|d1(f(X0,X1))|~c(X0)|~d2(X1)|~spl0_10)),
% 5.68/1.08 inference(resolution,[status(thm)],[f13,f119])).
% 5.68/1.08 fof(f487,plain,(
% 5.68/1.08 ![X0,X1]: (d1(f(X0,X1))|~c(X0)|~d2(X1)|~spl0_30|~spl0_10)),
% 5.68/1.08 inference(forward_subsumption_resolution,[status(thm)],[f486,f396])).
% 5.68/1.08 fof(f497,plain,(
% 5.68/1.08 ![X0,X1]: (~d1(X0)|~d2(X1)|c(f(X0,X1))|d1(f(X0,X1))|~spl0_33)),
% 5.68/1.08 inference(resolution,[status(thm)],[f416,f13])).
% 5.68/1.08 fof(f509,plain,(
% 5.68/1.08 spl0_35 <=> ~d1(X0)|~d2(f(X1,X0))|~d2(X1)),
% 5.68/1.08 introduced(split_symbol_definition)).
% 5.68/1.08 fof(f510,plain,(
% 5.68/1.08 ![X0,X1]: (~d1(X0)|~d2(f(X1,X0))|~d2(X1)|~spl0_35)),
% 5.68/1.08 inference(component_clause,[status(thm)],[f509])).
% 5.68/1.08 fof(f514,plain,(
% 5.68/1.08 ![X0,X1,X2]: (~d1(X0)|~d2(f(X1,X0))|~c(X2)|~c(X2)|~d2(X1)|~spl0_30|~spl0_10)),
% 5.68/1.08 inference(resolution,[status(thm)],[f435,f487])).
% 5.68/1.08 fof(f515,plain,(
% 5.68/1.08 spl0_35|spl0_17|~spl0_30|~spl0_10),
% 5.68/1.08 inference(split_clause,[status(thm)],[f514,f509,f194,f385,f118])).
% 5.68/1.08 fof(f516,plain,(
% 5.68/1.08 spl0_36 <=> ~c(X2)|~c(f(X3,X2))|~d2(X3)|~c(X2)),
% 5.68/1.08 introduced(split_symbol_definition)).
% 5.68/1.08 fof(f517,plain,(
% 5.68/1.08 ![X0,X1]: (~c(X0)|~c(f(X1,X0))|~d2(X1)|~c(X0)|~spl0_36)),
% 5.68/1.08 inference(component_clause,[status(thm)],[f516])).
% 5.68/1.08 fof(f524,plain,(
% 5.68/1.08 ![X0,X1,X2]: (~d1(f(X0,X1))|~d1(X2)|~c(X0)|c(f(X1,X2))|d1(f(X1,X2))|~spl0_30)),
% 5.68/1.08 inference(resolution,[status(thm)],[f435,f13])).
% 5.68/1.08 fof(f525,plain,(
% 5.68/1.08 ![X0,X1,X2]: (~d1(f(X0,X1))|~d1(X2)|~c(X0)|d1(f(X1,X2))|~spl0_30)),
% 5.68/1.08 inference(forward_subsumption_resolution,[status(thm)],[f524,f440])).
% 5.68/1.08 fof(f558,plain,(
% 5.68/1.08 spl0_37 <=> ~d1(X0)|~c(f(X2,X0))|~c(X2)),
% 5.68/1.08 introduced(split_symbol_definition)).
% 5.68/1.08 fof(f559,plain,(
% 5.68/1.08 ![X0,X1]: (~d1(X0)|~c(f(X1,X0))|~c(X1)|~spl0_37)),
% 5.68/1.08 inference(component_clause,[status(thm)],[f558])).
% 5.68/1.08 fof(f568,plain,(
% 5.68/1.08 spl0_38 <=> ~d1(f(X0,X1))|~c(X0)|~d1(X1)),
% 5.68/1.08 introduced(split_symbol_definition)).
% 5.68/1.08 fof(f569,plain,(
% 5.68/1.08 ![X0,X1]: (~d1(f(X0,X1))|~c(X0)|~d1(X1)|~spl0_38)),
% 5.68/1.08 inference(component_clause,[status(thm)],[f568])).
% 5.68/1.08 fof(f571,plain,(
% 5.68/1.08 ![X0,X1,X2]: (~d1(f(X0,X1))|~d1(X2)|~c(X0)|~d1(X1)|~d1(X2))),
% 5.68/1.08 inference(resolution,[status(thm)],[f440,f23])).
% 5.68/1.08 fof(f572,plain,(
% 5.68/1.08 spl0_38|spl0_8),
% 5.68/1.08 inference(split_clause,[status(thm)],[f571,f568,f84])).
% 5.68/1.08 fof(f587,plain,(
% 5.68/1.08 ![X0,X1,X2]: (~d1(f(X0,X1))|~c(X2)|~d2(f(X2,X0))|~d2(X1)|~spl0_37)),
% 5.68/1.08 inference(resolution,[status(thm)],[f559,f41])).
% 5.68/1.08 fof(f663,plain,(
% 5.68/1.08 ![X0,X1,X2]: (~c(X0)|~d2(f(X0,X1))|~d2(X2)|~d1(X1)|~d2(X2)|c(f(X1,X2))|~spl0_37|~spl0_33)),
% 5.68/1.08 inference(resolution,[status(thm)],[f587,f497])).
% 5.68/1.08 fof(f664,plain,(
% 5.68/1.08 ![X0,X1,X2]: (~c(X0)|~d2(f(X0,X1))|~d2(X2)|~d1(X1)|c(f(X1,X2))|~spl0_37|~spl0_33)),
% 5.68/1.08 inference(duplicate_literals_removal,[status(esa)],[f663])).
% 5.68/1.08 fof(f665,plain,(
% 5.68/1.08 ![X0,X1,X2]: (~c(X0)|~d2(f(X0,X1))|~d2(X2)|~d1(X1)|~spl0_37|~spl0_33)),
% 5.68/1.08 inference(forward_subsumption_resolution,[status(thm)],[f664,f110])).
% 5.68/1.08 fof(f673,plain,(
% 5.68/1.08 ![X0,X1]: (~c(X0)|~d1(X1)|c(f(X0,X1))|d1(f(X0,X1))|~spl0_37|~spl0_33)),
% 5.68/1.08 inference(resolution,[status(thm)],[f665,f13])).
% 5.68/1.08 fof(f674,plain,(
% 5.68/1.08 ![X0,X1]: (~c(X0)|~d1(X1)|d1(f(X0,X1))|~spl0_37|~spl0_33)),
% 5.68/1.08 inference(forward_subsumption_resolution,[status(thm)],[f673,f559])).
% 5.68/1.08 fof(f690,plain,(
% 5.68/1.08 ![X0,X1]: (~c(X0)|~d1(X1)|~spl0_37|~spl0_33|~spl0_38)),
% 5.68/1.08 inference(backward_subsumption_resolution,[status(thm)],[f569,f674])).
% 5.68/1.08 fof(f691,plain,(
% 5.68/1.08 spl0_20|spl0_23|~spl0_37|~spl0_33|~spl0_38),
% 5.68/1.08 inference(split_clause,[status(thm)],[f690,f207,f222,f558,f415,f568])).
% 5.68/1.08 fof(f962,plain,(
% 5.68/1.08 ![X0,X1,X2]: (~c(f(X0,X1))|~c(X2)|~d1(f(X1,X2))|~d2(X0)|~spl0_15|~spl0_35)),
% 5.68/1.08 inference(resolution,[status(thm)],[f256,f510])).
% 5.68/1.08 fof(f963,plain,(
% 5.68/1.08 ![X0,X1,X2]: (~c(f(X0,X1))|~c(X2)|~d2(X0)|~spl0_2|~spl0_15|~spl0_35)),
% 5.68/1.08 inference(forward_subsumption_resolution,[status(thm)],[f962,f273])).
% 5.68/1.08 fof(f1104,plain,(
% 5.68/1.08 ![X0,X1]: (~d2(X0)|~d2(X0)|~d2(X1)|~spl0_2|~spl0_15|~spl0_35)),
% 5.68/1.08 inference(resolution,[status(thm)],[f963,f25])).
% 5.68/1.08 fof(f1105,plain,(
% 5.68/1.08 spl0_3|spl0_22|~spl0_2|~spl0_15|~spl0_35),
% 5.68/1.08 inference(split_clause,[status(thm)],[f1104,f50,f217,f47,f186,f509])).
% 5.68/1.08 fof(f1145,plain,(
% 5.68/1.08 ![X0,X1]: (~c(X0)|~c(f(X1,X0))|~d2(X1)|~spl0_36)),
% 5.68/1.08 inference(duplicate_literals_removal,[status(esa)],[f517])).
% 5.68/1.08 fof(f1146,plain,(
% 5.68/1.08 ![X0,X1]: (~c(X0)|~d2(X1)|d1(f(X1,X0))|~spl0_36|~spl0_2)),
% 5.68/1.08 inference(forward_subsumption_resolution,[status(thm)],[f74,f1145])).
% 5.68/1.08 fof(f1153,plain,(
% 5.68/1.08 ![X0,X1,X2]: (~c(f(X0,X1))|~d2(X2)|~d1(f(X2,X0))|~d1(X1)|~spl0_36)),
% 5.68/1.08 inference(resolution,[status(thm)],[f1145,f42])).
% 5.68/1.08 fof(f1188,plain,(
% 5.68/1.08 ![X0,X1,X2]: (~d1(f(X0,X1))|~d1(X2)|~c(X0)|~c(X1)|~d1(X2)|~spl0_30|~spl0_38)),
% 5.68/1.08 inference(resolution,[status(thm)],[f525,f569])).
% 5.68/1.08 fof(f1189,plain,(
% 5.68/1.08 spl0_15|spl0_8|~spl0_30|~spl0_38),
% 5.68/1.08 inference(split_clause,[status(thm)],[f1188,f186,f84,f385,f568])).
% 5.68/1.08 fof(f1205,plain,(
% 5.68/1.08 $false|~spl0_22),
% 5.68/1.08 inference(backward_subsumption_resolution,[status(thm)],[f19,f218])).
% 5.68/1.08 fof(f1206,plain,(
% 5.68/1.08 ~spl0_22),
% 5.68/1.08 inference(contradiction_clause,[status(thm)],[f1205])).
% 5.68/1.08 fof(f1618,plain,(
% 5.68/1.08 spl0_82 <=> ~d2(X0)|~c(f(X2,X0))|~c(X2)|~d1(X2)),
% 5.68/1.08 introduced(split_symbol_definition)).
% 5.68/1.08 fof(f1625,plain,(
% 5.68/1.08 spl0_83 <=> ~d2(X0)|~c(f(X2,X0))|~c(X2)|~c(f(X2,X3))|~d1(X3)),
% 5.68/1.08 introduced(split_symbol_definition)).
% 5.68/1.08 fof(f1637,plain,(
% 5.68/1.08 ![X0,X1,X2,X3]: (~d2(X0)|~c(X1)|~c(f(X2,X0))|~c(X2)|~d1(X3)|~c(X1)|~c(f(X2,X3)))),
% 5.68/1.08 inference(resolution,[status(thm)],[f115,f440])).
% 5.68/1.08 fof(f1638,plain,(
% 5.68/1.08 spl0_83|spl0_17),
% 5.68/1.08 inference(split_clause,[status(thm)],[f1637,f1625,f194])).
% 5.68/1.08 fof(f1641,plain,(
% 5.68/1.08 ![X0,X1,X2]: (~d2(X0)|~c(X1)|~c(f(X2,X0))|~c(X2)|~c(X1)|~d1(X2)|~spl0_38)),
% 5.68/1.08 inference(resolution,[status(thm)],[f115,f569])).
% 5.68/1.08 fof(f1642,plain,(
% 5.68/1.08 spl0_82|spl0_17|~spl0_38),
% 5.68/1.08 inference(split_clause,[status(thm)],[f1641,f1618,f194,f568])).
% 5.68/1.08 fof(f1876,plain,(
% 5.68/1.08 ![X0,X1,X2,X3]: (~c(f(X0,X1))|~c(X2)|~d2(X0)|~c(X1)|~d1(X3)|~c(X1)|~c(f(X2,X3)))),
% 5.68/1.08 inference(resolution,[status(thm)],[f64,f440])).
% 5.68/1.08 fof(f1877,plain,(
% 5.68/1.08 spl0_36|spl0_37),
% 5.68/1.08 inference(split_clause,[status(thm)],[f1876,f516,f558])).
% 5.68/1.08 fof(f1942,plain,(
% 5.68/1.08 ![X0,X1,X2]: (~c(f(X0,X1))|~d2(X2)|~d1(X1)|~c(X0)|~d2(X2)|~spl0_36|~spl0_2)),
% 5.68/1.08 inference(resolution,[status(thm)],[f1153,f1146])).
% 5.68/1.08 fof(f1943,plain,(
% 5.68/1.08 spl0_37|spl0_3|~spl0_36|~spl0_2),
% 5.68/1.08 inference(split_clause,[status(thm)],[f1942,f558,f50,f516,f47])).
% 5.68/1.08 fof(f1957,plain,(
% 5.68/1.08 $false),
% 5.68/1.08 inference(sat_refutation,[status(thm)],[f32,f37,f54,f88,f122,f137,f201,f248,f252,f281,f322,f378,f383,f392,f419,f515,f572,f691,f1105,f1189,f1206,f1638,f1642,f1877,f1943])).
% 5.68/1.08 % SZS output end CNFRefutation for theBenchmark.p
% 5.68/1.10 % Elapsed time: 0.758763 seconds
% 5.68/1.10 % CPU time: 5.897666 seconds
% 5.68/1.10 % Total memory used: 91.135 MB
% 5.68/1.10 % Net memory used: 89.341 MB
%------------------------------------------------------------------------------