TSTP Solution File: PUZ056-2.005 by Drodi---3.6.0
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- Process Solution
%------------------------------------------------------------------------------
% File : Drodi---3.6.0
% Problem : PUZ056-2.005 : TPTP v8.1.2. Released v3.5.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% Computer : n014.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 20:37:00 EDT 2024
% Result : Unsatisfiable 2.16s 0.69s
% Output : CNFRefutation 2.68s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.12 % Problem : PUZ056-2.005 : TPTP v8.1.2. Released v3.5.0.
% 0.06/0.13 % Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.12/0.34 % Computer : n014.cluster.edu
% 0.12/0.34 % Model : x86_64 x86_64
% 0.12/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.34 % Memory : 8042.1875MB
% 0.12/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.34 % CPULimit : 300
% 0.12/0.34 % WCLimit : 300
% 0.12/0.34 % DateTime : Mon Apr 29 22:00:49 EDT 2024
% 0.12/0.35 % CPUTime :
% 0.12/0.36 % Drodi V3.6.0
% 2.16/0.69 % Refutation found
% 2.16/0.69 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 2.16/0.69 % SZS output start CNFRefutation for theBenchmark
% 2.16/0.69 fof(f1,axiom,(
% 2.16/0.69 (![I,T1,T2,T3,T4,J]: (( ~ p(I,T1,T2,T3,T4)| p(J,T1,T2,T3,T4) ) ))),
% 2.16/0.69 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 2.16/0.69 fof(f2,axiom,(
% 2.16/0.69 (![T0,I,T2,T3,T4,J]: (( ~ p(T0,I,T2,T3,T4)| ~ neq(T0,I)| ~ neq(T0,J)| p(T0,J,T2,T3,T4) ) ))),
% 2.16/0.69 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 2.16/0.69 fof(f3,axiom,(
% 2.16/0.69 (![T0,T1,I,T3,T4,J]: (( ~ p(T0,T1,I,T3,T4)| ~ neq(T0,I)| ~ neq(T0,J)| ~ neq(T1,I)| ~ neq(T1,J)| p(T0,T1,J,T3,T4) ) ))),
% 2.16/0.69 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 2.16/0.69 fof(f4,axiom,(
% 2.16/0.69 (![T0,T1,T2,I,T4,J]: (( ~ p(T0,T1,T2,I,T4)| ~ neq(T0,I)| ~ neq(T0,J)| ~ neq(T1,I)| ~ neq(T1,J)| ~ neq(T2,I)| ~ neq(T2,J)| p(T0,T1,T2,J,T4) ) ))),
% 2.16/0.69 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 2.16/0.69 fof(f5,axiom,(
% 2.16/0.69 (![T0,T1,T2,T3,I,J]: (( ~ p(T0,T1,T2,T3,I)| ~ neq(T0,I)| ~ neq(T0,J)| ~ neq(T1,I)| ~ neq(T1,J)| ~ neq(T2,I)| ~ neq(T2,J)| ~ neq(T3,I)| ~ neq(T3,J)| p(T0,T1,T2,T3,J) ) ))),
% 2.16/0.69 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 2.16/0.69 fof(f7,axiom,(
% 2.16/0.69 neq(s0,s1) ),
% 2.16/0.69 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 2.16/0.69 fof(f8,axiom,(
% 2.16/0.69 neq(s0,s2) ),
% 2.16/0.69 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 2.16/0.69 fof(f9,axiom,(
% 2.16/0.69 neq(s1,s0) ),
% 2.16/0.69 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 2.16/0.69 fof(f11,axiom,(
% 2.16/0.69 neq(s1,s2) ),
% 2.16/0.69 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 2.16/0.69 fof(f12,axiom,(
% 2.16/0.69 neq(s2,s0) ),
% 2.16/0.69 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 2.16/0.69 fof(f13,axiom,(
% 2.16/0.69 neq(s2,s1) ),
% 2.16/0.69 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 2.16/0.69 fof(f15,axiom,(
% 2.16/0.69 p(s0,s0,s0,s0,s0) ),
% 2.16/0.69 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 2.16/0.69 fof(f16,negated_conjecture,(
% 2.16/0.69 ~ p(s2,s2,s2,s2,s2) ),
% 2.16/0.69 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 2.16/0.69 fof(f17,plain,(
% 2.16/0.69 ![T1,T2,T3,T4]: ((![I]: ~p(I,T1,T2,T3,T4))|(![J]: p(J,T1,T2,T3,T4)))),
% 2.16/0.69 inference(miniscoping,[status(esa)],[f1])).
% 2.16/0.69 fof(f18,plain,(
% 2.16/0.69 ![X0,X1,X2,X3,X4,X5]: (~p(X0,X1,X2,X3,X4)|p(X5,X1,X2,X3,X4))),
% 2.16/0.69 inference(cnf_transformation,[status(esa)],[f17])).
% 2.16/0.69 fof(f19,plain,(
% 2.16/0.69 ![T0,T2,T3,T4,J]: (((![I]: (~p(T0,I,T2,T3,T4)|~neq(T0,I)))|~neq(T0,J))|p(T0,J,T2,T3,T4))),
% 2.16/0.69 inference(miniscoping,[status(esa)],[f2])).
% 2.16/0.69 fof(f20,plain,(
% 2.16/0.69 ![X0,X1,X2,X3,X4,X5]: (~p(X0,X1,X2,X3,X4)|~neq(X0,X1)|~neq(X0,X5)|p(X0,X5,X2,X3,X4))),
% 2.16/0.69 inference(cnf_transformation,[status(esa)],[f19])).
% 2.16/0.69 fof(f21,plain,(
% 2.16/0.69 ![T0,T1,T3,T4,J]: (((![I]: (((~p(T0,T1,I,T3,T4)|~neq(T0,I))|~neq(T0,J))|~neq(T1,I)))|~neq(T1,J))|p(T0,T1,J,T3,T4))),
% 2.16/0.69 inference(miniscoping,[status(esa)],[f3])).
% 2.16/0.69 fof(f22,plain,(
% 2.16/0.69 ![X0,X1,X2,X3,X4,X5]: (~p(X0,X1,X2,X3,X4)|~neq(X0,X2)|~neq(X0,X5)|~neq(X1,X2)|~neq(X1,X5)|p(X0,X1,X5,X3,X4))),
% 2.16/0.69 inference(cnf_transformation,[status(esa)],[f21])).
% 2.16/0.69 fof(f23,plain,(
% 2.16/0.69 ![T0,T1,T2,T4,J]: (((![I]: (((((~p(T0,T1,T2,I,T4)|~neq(T0,I))|~neq(T0,J))|~neq(T1,I))|~neq(T1,J))|~neq(T2,I)))|~neq(T2,J))|p(T0,T1,T2,J,T4))),
% 2.16/0.69 inference(miniscoping,[status(esa)],[f4])).
% 2.16/0.69 fof(f24,plain,(
% 2.16/0.69 ![X0,X1,X2,X3,X4,X5]: (~p(X0,X1,X2,X3,X4)|~neq(X0,X3)|~neq(X0,X5)|~neq(X1,X3)|~neq(X1,X5)|~neq(X2,X3)|~neq(X2,X5)|p(X0,X1,X2,X5,X4))),
% 2.16/0.69 inference(cnf_transformation,[status(esa)],[f23])).
% 2.16/0.69 fof(f25,plain,(
% 2.16/0.69 ![T0,T1,T2,T3,J]: (((![I]: (((((((~p(T0,T1,T2,T3,I)|~neq(T0,I))|~neq(T0,J))|~neq(T1,I))|~neq(T1,J))|~neq(T2,I))|~neq(T2,J))|~neq(T3,I)))|~neq(T3,J))|p(T0,T1,T2,T3,J))),
% 2.16/0.69 inference(miniscoping,[status(esa)],[f5])).
% 2.16/0.69 fof(f26,plain,(
% 2.16/0.69 ![X0,X1,X2,X3,X4,X5]: (~p(X0,X1,X2,X3,X4)|~neq(X0,X4)|~neq(X0,X5)|~neq(X1,X4)|~neq(X1,X5)|~neq(X2,X4)|~neq(X2,X5)|~neq(X3,X4)|~neq(X3,X5)|p(X0,X1,X2,X3,X5))),
% 2.16/0.69 inference(cnf_transformation,[status(esa)],[f25])).
% 2.16/0.69 fof(f28,plain,(
% 2.16/0.69 neq(s0,s1)),
% 2.16/0.69 inference(cnf_transformation,[status(esa)],[f7])).
% 2.16/0.69 fof(f29,plain,(
% 2.16/0.69 neq(s0,s2)),
% 2.16/0.69 inference(cnf_transformation,[status(esa)],[f8])).
% 2.16/0.69 fof(f30,plain,(
% 2.16/0.69 neq(s1,s0)),
% 2.16/0.69 inference(cnf_transformation,[status(esa)],[f9])).
% 2.16/0.69 fof(f32,plain,(
% 2.16/0.69 neq(s1,s2)),
% 2.16/0.69 inference(cnf_transformation,[status(esa)],[f11])).
% 2.16/0.69 fof(f33,plain,(
% 2.16/0.70 neq(s2,s0)),
% 2.16/0.70 inference(cnf_transformation,[status(esa)],[f12])).
% 2.16/0.70 fof(f34,plain,(
% 2.16/0.70 neq(s2,s1)),
% 2.16/0.70 inference(cnf_transformation,[status(esa)],[f13])).
% 2.16/0.70 fof(f36,plain,(
% 2.16/0.70 p(s0,s0,s0,s0,s0)),
% 2.16/0.70 inference(cnf_transformation,[status(esa)],[f15])).
% 2.16/0.70 fof(f37,plain,(
% 2.16/0.70 ~p(s2,s2,s2,s2,s2)),
% 2.16/0.70 inference(cnf_transformation,[status(esa)],[f16])).
% 2.16/0.70 fof(f61,plain,(
% 2.16/0.70 ![X0]: (p(X0,s0,s0,s0,s0))),
% 2.16/0.70 inference(resolution,[status(thm)],[f36,f18])).
% 2.16/0.70 fof(f77,plain,(
% 2.16/0.70 ![X0,X1]: (~neq(X0,s0)|~neq(X0,X1)|p(X0,X1,s0,s0,s0))),
% 2.16/0.70 inference(resolution,[status(thm)],[f61,f20])).
% 2.16/0.70 fof(f80,plain,(
% 2.16/0.70 ![X0]: (~neq(s2,X0)|p(s2,X0,s0,s0,s0))),
% 2.16/0.70 inference(resolution,[status(thm)],[f77,f33])).
% 2.16/0.70 fof(f83,plain,(
% 2.16/0.70 spl0_8 <=> neq(s1,s0)),
% 2.16/0.70 introduced(split_symbol_definition)).
% 2.16/0.70 fof(f85,plain,(
% 2.16/0.70 ~neq(s1,s0)|spl0_8),
% 2.16/0.70 inference(component_clause,[status(thm)],[f83])).
% 2.16/0.70 fof(f89,plain,(
% 2.16/0.70 spl0_10 <=> neq(s2,s0)),
% 2.16/0.70 introduced(split_symbol_definition)).
% 2.16/0.70 fof(f91,plain,(
% 2.16/0.70 ~neq(s2,s0)|spl0_10),
% 2.16/0.70 inference(component_clause,[status(thm)],[f89])).
% 2.16/0.70 fof(f115,plain,(
% 2.16/0.70 $false|spl0_10),
% 2.16/0.70 inference(forward_subsumption_resolution,[status(thm)],[f91,f33])).
% 2.16/0.70 fof(f116,plain,(
% 2.16/0.70 spl0_10),
% 2.16/0.70 inference(contradiction_clause,[status(thm)],[f115])).
% 2.16/0.70 fof(f117,plain,(
% 2.16/0.70 $false|spl0_8),
% 2.16/0.70 inference(forward_subsumption_resolution,[status(thm)],[f85,f30])).
% 2.16/0.70 fof(f118,plain,(
% 2.16/0.70 spl0_8),
% 2.16/0.70 inference(contradiction_clause,[status(thm)],[f117])).
% 2.16/0.70 fof(f136,plain,(
% 2.16/0.70 p(s2,s1,s0,s0,s0)),
% 2.16/0.70 inference(resolution,[status(thm)],[f80,f34])).
% 2.16/0.70 fof(f153,plain,(
% 2.16/0.70 spl0_21 <=> neq(s2,s1)),
% 2.16/0.70 introduced(split_symbol_definition)).
% 2.16/0.70 fof(f155,plain,(
% 2.16/0.70 ~neq(s2,s1)|spl0_21),
% 2.16/0.70 inference(component_clause,[status(thm)],[f153])).
% 2.16/0.70 fof(f161,plain,(
% 2.16/0.70 ![X0]: (p(X0,s1,s0,s0,s0))),
% 2.16/0.70 inference(resolution,[status(thm)],[f136,f18])).
% 2.16/0.70 fof(f162,plain,(
% 2.16/0.70 $false|spl0_21),
% 2.16/0.70 inference(forward_subsumption_resolution,[status(thm)],[f155,f34])).
% 2.16/0.70 fof(f163,plain,(
% 2.16/0.70 spl0_21),
% 2.16/0.70 inference(contradiction_clause,[status(thm)],[f162])).
% 2.16/0.70 fof(f174,plain,(
% 2.16/0.70 spl0_25 <=> ~neq(X0,s0)|~neq(X0,X1)|~neq(s1,X1)|p(X0,s1,X1,s0,s0)),
% 2.16/0.70 introduced(split_symbol_definition)).
% 2.16/0.70 fof(f175,plain,(
% 2.16/0.70 ![X0,X1]: (~neq(X0,s0)|~neq(X0,X1)|~neq(s1,X1)|p(X0,s1,X1,s0,s0)|~spl0_25)),
% 2.16/0.70 inference(component_clause,[status(thm)],[f174])).
% 2.16/0.70 fof(f177,plain,(
% 2.16/0.70 ![X0,X1]: (~neq(X0,s0)|~neq(X0,X1)|~neq(s1,s0)|~neq(s1,X1)|p(X0,s1,X1,s0,s0))),
% 2.16/0.70 inference(resolution,[status(thm)],[f161,f22])).
% 2.16/0.70 fof(f178,plain,(
% 2.16/0.70 spl0_25|~spl0_8),
% 2.16/0.70 inference(split_clause,[status(thm)],[f177,f174,f83])).
% 2.16/0.70 fof(f266,plain,(
% 2.16/0.70 ![X0]: (~neq(X0,s0)|~neq(X0,s2)|p(X0,s1,s2,s0,s0)|~spl0_25)),
% 2.16/0.70 inference(resolution,[status(thm)],[f175,f32])).
% 2.16/0.70 fof(f269,plain,(
% 2.16/0.70 spl0_41 <=> p(s1,s1,s2,s0,s0)),
% 2.16/0.70 introduced(split_symbol_definition)).
% 2.16/0.70 fof(f270,plain,(
% 2.16/0.70 p(s1,s1,s2,s0,s0)|~spl0_41),
% 2.16/0.70 inference(component_clause,[status(thm)],[f269])).
% 2.16/0.70 fof(f272,plain,(
% 2.16/0.70 ~neq(s1,s0)|p(s1,s1,s2,s0,s0)|~spl0_25),
% 2.16/0.70 inference(resolution,[status(thm)],[f266,f32])).
% 2.16/0.70 fof(f273,plain,(
% 2.16/0.70 ~spl0_8|spl0_41|~spl0_25),
% 2.16/0.70 inference(split_clause,[status(thm)],[f272,f83,f269,f174])).
% 2.16/0.70 fof(f299,plain,(
% 2.16/0.70 ![X0]: (p(X0,s1,s2,s0,s0)|~spl0_41)),
% 2.16/0.70 inference(resolution,[status(thm)],[f270,f18])).
% 2.16/0.70 fof(f317,plain,(
% 2.16/0.70 ![X0,X1]: (~neq(X0,s1)|~neq(X0,X1)|p(X0,X1,s2,s0,s0)|~spl0_41)),
% 2.16/0.70 inference(resolution,[status(thm)],[f299,f20])).
% 2.16/0.70 fof(f345,plain,(
% 2.16/0.70 spl0_54 <=> neq(s0,s1)),
% 2.16/0.70 introduced(split_symbol_definition)).
% 2.16/0.70 fof(f347,plain,(
% 2.16/0.70 ~neq(s0,s1)|spl0_54),
% 2.16/0.70 inference(component_clause,[status(thm)],[f345])).
% 2.16/0.70 fof(f373,plain,(
% 2.16/0.70 $false|spl0_54),
% 2.16/0.70 inference(forward_subsumption_resolution,[status(thm)],[f347,f28])).
% 2.16/0.70 fof(f374,plain,(
% 2.16/0.70 spl0_54),
% 2.16/0.70 inference(contradiction_clause,[status(thm)],[f373])).
% 2.16/0.70 fof(f417,plain,(
% 2.16/0.70 ![X0]: (~neq(s0,X0)|p(s0,X0,s2,s0,s0)|~spl0_41)),
% 2.16/0.70 inference(resolution,[status(thm)],[f317,f28])).
% 2.16/0.70 fof(f433,plain,(
% 2.16/0.70 spl0_69 <=> neq(s0,s2)),
% 2.16/0.70 introduced(split_symbol_definition)).
% 2.16/0.70 fof(f435,plain,(
% 2.16/0.70 ~neq(s0,s2)|spl0_69),
% 2.16/0.70 inference(component_clause,[status(thm)],[f433])).
% 2.16/0.70 fof(f461,plain,(
% 2.16/0.70 $false|spl0_69),
% 2.16/0.70 inference(forward_subsumption_resolution,[status(thm)],[f435,f29])).
% 2.16/0.70 fof(f462,plain,(
% 2.16/0.70 spl0_69),
% 2.16/0.70 inference(contradiction_clause,[status(thm)],[f461])).
% 2.16/0.70 fof(f464,plain,(
% 2.16/0.70 p(s0,s2,s2,s0,s0)|~spl0_41),
% 2.16/0.70 inference(resolution,[status(thm)],[f417,f29])).
% 2.16/0.70 fof(f509,plain,(
% 2.16/0.70 ![X0]: (p(X0,s2,s2,s0,s0)|~spl0_41)),
% 2.16/0.70 inference(resolution,[status(thm)],[f464,f18])).
% 2.16/0.70 fof(f515,plain,(
% 2.16/0.70 spl0_83 <=> ~neq(X0,s0)|~neq(X0,X1)|~neq(s2,X1)|~neq(s2,X1)|p(X0,s2,s2,X1,s0)),
% 2.16/0.70 introduced(split_symbol_definition)).
% 2.16/0.70 fof(f516,plain,(
% 2.16/0.70 ![X0,X1]: (~neq(X0,s0)|~neq(X0,X1)|~neq(s2,X1)|~neq(s2,X1)|p(X0,s2,s2,X1,s0)|~spl0_83)),
% 2.16/0.70 inference(component_clause,[status(thm)],[f515])).
% 2.16/0.70 fof(f518,plain,(
% 2.16/0.70 ![X0,X1]: (~neq(X0,s0)|~neq(X0,X1)|~neq(s2,s0)|~neq(s2,X1)|~neq(s2,s0)|~neq(s2,X1)|p(X0,s2,s2,X1,s0)|~spl0_41)),
% 2.16/0.70 inference(resolution,[status(thm)],[f509,f24])).
% 2.16/0.70 fof(f519,plain,(
% 2.16/0.70 spl0_83|~spl0_10|~spl0_41),
% 2.16/0.70 inference(split_clause,[status(thm)],[f518,f515,f89,f269])).
% 2.16/0.70 fof(f527,plain,(
% 2.16/0.70 ![X0,X1]: (~neq(X0,s0)|~neq(X0,X1)|~neq(s2,X1)|p(X0,s2,s2,X1,s0)|~spl0_83)),
% 2.16/0.70 inference(duplicate_literals_removal,[status(esa)],[f516])).
% 2.16/0.70 fof(f617,plain,(
% 2.16/0.70 ![X0]: (~neq(X0,s0)|~neq(X0,s1)|p(X0,s2,s2,s1,s0)|~spl0_83)),
% 2.16/0.70 inference(resolution,[status(thm)],[f527,f34])).
% 2.16/0.70 fof(f661,plain,(
% 2.16/0.70 spl0_104 <=> p(s2,s2,s2,s1,s0)),
% 2.16/0.70 introduced(split_symbol_definition)).
% 2.16/0.70 fof(f662,plain,(
% 2.16/0.70 p(s2,s2,s2,s1,s0)|~spl0_104),
% 2.16/0.70 inference(component_clause,[status(thm)],[f661])).
% 2.16/0.70 fof(f664,plain,(
% 2.16/0.70 ~neq(s2,s0)|p(s2,s2,s2,s1,s0)|~spl0_83),
% 2.16/0.70 inference(resolution,[status(thm)],[f617,f34])).
% 2.16/0.70 fof(f665,plain,(
% 2.16/0.70 ~spl0_10|spl0_104|~spl0_83),
% 2.16/0.70 inference(split_clause,[status(thm)],[f664,f89,f661,f515])).
% 2.16/0.70 fof(f691,plain,(
% 2.16/0.70 ![X0]: (p(X0,s2,s2,s1,s0)|~spl0_104)),
% 2.16/0.70 inference(resolution,[status(thm)],[f662,f18])).
% 2.16/0.70 fof(f709,plain,(
% 2.16/0.70 ![X0,X1]: (~neq(X0,s2)|~neq(X0,X1)|p(X0,X1,s2,s1,s0)|~spl0_104)),
% 2.16/0.70 inference(resolution,[status(thm)],[f691,f20])).
% 2.16/0.70 fof(f758,plain,(
% 2.16/0.70 ![X0]: (~neq(s1,X0)|p(s1,X0,s2,s1,s0)|~spl0_104)),
% 2.16/0.70 inference(resolution,[status(thm)],[f709,f32])).
% 2.16/0.70 fof(f761,plain,(
% 2.16/0.70 p(s1,s0,s2,s1,s0)|~spl0_104),
% 2.16/0.70 inference(resolution,[status(thm)],[f758,f30])).
% 2.16/0.70 fof(f796,plain,(
% 2.16/0.70 ![X0]: (p(X0,s0,s2,s1,s0)|~spl0_104)),
% 2.16/0.70 inference(resolution,[status(thm)],[f761,f18])).
% 2.16/0.70 fof(f807,plain,(
% 2.16/0.70 spl0_128 <=> ~neq(X0,s2)|~neq(X0,X1)|~neq(s0,X1)|p(X0,s0,X1,s1,s0)),
% 2.16/0.70 introduced(split_symbol_definition)).
% 2.16/0.70 fof(f808,plain,(
% 2.16/0.70 ![X0,X1]: (~neq(X0,s2)|~neq(X0,X1)|~neq(s0,X1)|p(X0,s0,X1,s1,s0)|~spl0_128)),
% 2.16/0.70 inference(component_clause,[status(thm)],[f807])).
% 2.16/0.70 fof(f810,plain,(
% 2.16/0.70 ![X0,X1]: (~neq(X0,s2)|~neq(X0,X1)|~neq(s0,s2)|~neq(s0,X1)|p(X0,s0,X1,s1,s0)|~spl0_104)),
% 2.16/0.70 inference(resolution,[status(thm)],[f796,f22])).
% 2.16/0.70 fof(f811,plain,(
% 2.16/0.70 spl0_128|~spl0_69|~spl0_104),
% 2.16/0.70 inference(split_clause,[status(thm)],[f810,f807,f433,f661])).
% 2.16/0.70 fof(f1292,plain,(
% 2.16/0.70 ![X0]: (~neq(X0,s2)|~neq(X0,s1)|p(X0,s0,s1,s1,s0)|~spl0_128)),
% 2.16/0.70 inference(resolution,[status(thm)],[f808,f28])).
% 2.16/0.70 fof(f1336,plain,(
% 2.16/0.70 spl0_216 <=> p(s0,s0,s1,s1,s0)),
% 2.16/0.70 introduced(split_symbol_definition)).
% 2.16/0.70 fof(f1337,plain,(
% 2.16/0.70 p(s0,s0,s1,s1,s0)|~spl0_216),
% 2.16/0.70 inference(component_clause,[status(thm)],[f1336])).
% 2.16/0.70 fof(f1339,plain,(
% 2.16/0.70 ~neq(s0,s1)|p(s0,s0,s1,s1,s0)|~spl0_128),
% 2.16/0.70 inference(resolution,[status(thm)],[f1292,f29])).
% 2.16/0.70 fof(f1340,plain,(
% 2.16/0.70 ~spl0_54|spl0_216|~spl0_128),
% 2.16/0.70 inference(split_clause,[status(thm)],[f1339,f345,f1336,f807])).
% 2.16/0.70 fof(f1361,plain,(
% 2.16/0.70 ![X0]: (p(X0,s0,s1,s1,s0)|~spl0_216)),
% 2.16/0.70 inference(resolution,[status(thm)],[f1337,f18])).
% 2.16/0.70 fof(f1378,plain,(
% 2.16/0.70 ![X0,X1]: (~neq(X0,s0)|~neq(X0,X1)|p(X0,X1,s1,s1,s0)|~spl0_216)),
% 2.16/0.70 inference(resolution,[status(thm)],[f1361,f20])).
% 2.16/0.70 fof(f1383,plain,(
% 2.16/0.70 ![X0]: (~neq(s2,X0)|p(s2,X0,s1,s1,s0)|~spl0_216)),
% 2.16/0.70 inference(resolution,[status(thm)],[f1378,f33])).
% 2.16/0.70 fof(f1426,plain,(
% 2.16/0.70 p(s2,s1,s1,s1,s0)|~spl0_216),
% 2.16/0.70 inference(resolution,[status(thm)],[f1383,f34])).
% 2.16/0.70 fof(f1448,plain,(
% 2.16/0.70 ![X0]: (p(X0,s1,s1,s1,s0)|~spl0_216)),
% 2.16/0.70 inference(resolution,[status(thm)],[f1426,f18])).
% 2.16/0.70 fof(f1450,plain,(
% 2.16/0.70 spl0_235 <=> ~neq(X0,s0)|~neq(X0,X1)|~neq(s1,X1)|~neq(s1,X1)|~neq(s1,X1)|p(X0,s1,s1,s1,X1)),
% 2.16/0.70 introduced(split_symbol_definition)).
% 2.16/0.70 fof(f1451,plain,(
% 2.16/0.70 ![X0,X1]: (~neq(X0,s0)|~neq(X0,X1)|~neq(s1,X1)|~neq(s1,X1)|~neq(s1,X1)|p(X0,s1,s1,s1,X1)|~spl0_235)),
% 2.16/0.70 inference(component_clause,[status(thm)],[f1450])).
% 2.16/0.70 fof(f1453,plain,(
% 2.16/0.70 ![X0,X1]: (~neq(X0,s0)|~neq(X0,X1)|~neq(s1,s0)|~neq(s1,X1)|~neq(s1,s0)|~neq(s1,X1)|~neq(s1,s0)|~neq(s1,X1)|p(X0,s1,s1,s1,X1)|~spl0_216)),
% 2.16/0.70 inference(resolution,[status(thm)],[f1448,f26])).
% 2.16/0.70 fof(f1454,plain,(
% 2.16/0.70 spl0_235|~spl0_8|~spl0_216),
% 2.16/0.70 inference(split_clause,[status(thm)],[f1453,f1450,f83,f1336])).
% 2.16/0.70 fof(f1467,plain,(
% 2.16/0.70 ![X0,X1]: (~neq(X0,s0)|~neq(X0,X1)|~neq(s1,X1)|p(X0,s1,s1,s1,X1)|~spl0_235)),
% 2.16/0.70 inference(duplicate_literals_removal,[status(esa)],[f1451])).
% 2.16/0.70 fof(f1837,plain,(
% 2.16/0.70 ![X0]: (~neq(X0,s0)|~neq(X0,s2)|p(X0,s1,s1,s1,s2)|~spl0_235)),
% 2.16/0.70 inference(resolution,[status(thm)],[f1467,f32])).
% 2.16/0.70 fof(f1839,plain,(
% 2.16/0.70 spl0_298 <=> p(s1,s1,s1,s1,s2)),
% 2.16/0.70 introduced(split_symbol_definition)).
% 2.16/0.70 fof(f1840,plain,(
% 2.16/0.70 p(s1,s1,s1,s1,s2)|~spl0_298),
% 2.16/0.70 inference(component_clause,[status(thm)],[f1839])).
% 2.16/0.70 fof(f1842,plain,(
% 2.16/0.70 ~neq(s1,s0)|p(s1,s1,s1,s1,s2)|~spl0_235),
% 2.16/0.70 inference(resolution,[status(thm)],[f1837,f32])).
% 2.16/0.70 fof(f1843,plain,(
% 2.16/0.70 ~spl0_8|spl0_298|~spl0_235),
% 2.16/0.70 inference(split_clause,[status(thm)],[f1842,f83,f1839,f1450])).
% 2.16/0.70 fof(f1869,plain,(
% 2.16/0.70 ![X0]: (p(X0,s1,s1,s1,s2)|~spl0_298)),
% 2.16/0.70 inference(resolution,[status(thm)],[f1840,f18])).
% 2.16/0.70 fof(f1886,plain,(
% 2.16/0.70 ![X0,X1]: (~neq(X0,s1)|~neq(X0,X1)|p(X0,X1,s1,s1,s2)|~spl0_298)),
% 2.16/0.70 inference(resolution,[status(thm)],[f1869,f20])).
% 2.16/0.70 fof(f1890,plain,(
% 2.16/0.70 ![X0]: (~neq(s0,X0)|p(s0,X0,s1,s1,s2)|~spl0_298)),
% 2.16/0.70 inference(resolution,[status(thm)],[f1886,f28])).
% 2.16/0.70 fof(f1968,plain,(
% 2.16/0.70 p(s0,s2,s1,s1,s2)|~spl0_298),
% 2.16/0.70 inference(resolution,[status(thm)],[f1890,f29])).
% 2.16/0.70 fof(f1989,plain,(
% 2.16/0.70 ![X0]: (p(X0,s2,s1,s1,s2)|~spl0_298)),
% 2.16/0.70 inference(resolution,[status(thm)],[f1968,f18])).
% 2.16/0.70 fof(f2000,plain,(
% 2.16/0.70 spl0_326 <=> ~neq(X0,s1)|~neq(X0,X1)|~neq(s2,X1)|p(X0,s2,X1,s1,s2)),
% 2.16/0.70 introduced(split_symbol_definition)).
% 2.16/0.70 fof(f2001,plain,(
% 2.16/0.70 ![X0,X1]: (~neq(X0,s1)|~neq(X0,X1)|~neq(s2,X1)|p(X0,s2,X1,s1,s2)|~spl0_326)),
% 2.16/0.70 inference(component_clause,[status(thm)],[f2000])).
% 2.16/0.70 fof(f2003,plain,(
% 2.16/0.70 ![X0,X1]: (~neq(X0,s1)|~neq(X0,X1)|~neq(s2,s1)|~neq(s2,X1)|p(X0,s2,X1,s1,s2)|~spl0_298)),
% 2.16/0.70 inference(resolution,[status(thm)],[f1989,f22])).
% 2.16/0.70 fof(f2004,plain,(
% 2.16/0.70 spl0_326|~spl0_21|~spl0_298),
% 2.16/0.70 inference(split_clause,[status(thm)],[f2003,f2000,f153,f1839])).
% 2.16/0.70 fof(f2270,plain,(
% 2.16/0.70 ![X0]: (~neq(X0,s1)|~neq(X0,s0)|p(X0,s2,s0,s1,s2)|~spl0_326)),
% 2.16/0.70 inference(resolution,[status(thm)],[f2001,f33])).
% 2.16/0.70 fof(f2431,plain,(
% 2.16/0.70 spl0_395 <=> p(s2,s2,s0,s1,s2)),
% 2.16/0.70 introduced(split_symbol_definition)).
% 2.16/0.70 fof(f2432,plain,(
% 2.16/0.70 p(s2,s2,s0,s1,s2)|~spl0_395),
% 2.16/0.70 inference(component_clause,[status(thm)],[f2431])).
% 2.16/0.70 fof(f2434,plain,(
% 2.16/0.70 ~neq(s2,s0)|p(s2,s2,s0,s1,s2)|~spl0_326),
% 2.16/0.70 inference(resolution,[status(thm)],[f2270,f34])).
% 2.16/0.70 fof(f2435,plain,(
% 2.16/0.70 ~spl0_10|spl0_395|~spl0_326),
% 2.16/0.70 inference(split_clause,[status(thm)],[f2434,f89,f2431,f2000])).
% 2.16/0.70 fof(f2458,plain,(
% 2.16/0.70 ![X0]: (p(X0,s2,s0,s1,s2)|~spl0_395)),
% 2.16/0.70 inference(resolution,[status(thm)],[f2432,f18])).
% 2.16/0.70 fof(f2476,plain,(
% 2.16/0.70 ![X0,X1]: (~neq(X0,s2)|~neq(X0,X1)|p(X0,X1,s0,s1,s2)|~spl0_395)),
% 2.16/0.70 inference(resolution,[status(thm)],[f2458,f20])).
% 2.16/0.70 fof(f2561,plain,(
% 2.16/0.70 ![X0]: (~neq(s1,X0)|p(s1,X0,s0,s1,s2)|~spl0_395)),
% 2.16/0.70 inference(resolution,[status(thm)],[f2476,f32])).
% 2.16/0.70 fof(f2564,plain,(
% 2.16/0.70 p(s1,s0,s0,s1,s2)|~spl0_395),
% 2.16/0.70 inference(resolution,[status(thm)],[f2561,f30])).
% 2.16/0.70 fof(f2585,plain,(
% 2.16/0.70 ![X0]: (p(X0,s0,s0,s1,s2)|~spl0_395)),
% 2.16/0.70 inference(resolution,[status(thm)],[f2564,f18])).
% 2.16/0.70 fof(f2592,plain,(
% 2.16/0.70 spl0_422 <=> ~neq(X0,s1)|~neq(X0,X1)|~neq(s0,X1)|~neq(s0,X1)|p(X0,s0,s0,X1,s2)),
% 2.16/0.70 introduced(split_symbol_definition)).
% 2.16/0.70 fof(f2593,plain,(
% 2.16/0.70 ![X0,X1]: (~neq(X0,s1)|~neq(X0,X1)|~neq(s0,X1)|~neq(s0,X1)|p(X0,s0,s0,X1,s2)|~spl0_422)),
% 2.16/0.70 inference(component_clause,[status(thm)],[f2592])).
% 2.16/0.70 fof(f2595,plain,(
% 2.16/0.70 ![X0,X1]: (~neq(X0,s1)|~neq(X0,X1)|~neq(s0,s1)|~neq(s0,X1)|~neq(s0,s1)|~neq(s0,X1)|p(X0,s0,s0,X1,s2)|~spl0_395)),
% 2.16/0.70 inference(resolution,[status(thm)],[f2585,f24])).
% 2.16/0.70 fof(f2596,plain,(
% 2.16/0.70 spl0_422|~spl0_54|~spl0_395),
% 2.16/0.70 inference(split_clause,[status(thm)],[f2595,f2592,f345,f2431])).
% 2.16/0.70 fof(f2605,plain,(
% 2.16/0.70 ![X0,X1]: (~neq(X0,s1)|~neq(X0,X1)|~neq(s0,X1)|p(X0,s0,s0,X1,s2)|~spl0_422)),
% 2.68/0.71 inference(duplicate_literals_removal,[status(esa)],[f2593])).
% 2.68/0.71 fof(f3275,plain,(
% 2.68/0.71 ![X0]: (~neq(X0,s1)|~neq(X0,s2)|p(X0,s0,s0,s2,s2)|~spl0_422)),
% 2.68/0.71 inference(resolution,[status(thm)],[f2605,f29])).
% 2.68/0.71 fof(f3321,plain,(
% 2.68/0.71 spl0_538 <=> p(s0,s0,s0,s2,s2)),
% 2.68/0.71 introduced(split_symbol_definition)).
% 2.68/0.71 fof(f3322,plain,(
% 2.68/0.71 p(s0,s0,s0,s2,s2)|~spl0_538),
% 2.68/0.71 inference(component_clause,[status(thm)],[f3321])).
% 2.68/0.71 fof(f3324,plain,(
% 2.68/0.71 ~neq(s0,s1)|p(s0,s0,s0,s2,s2)|~spl0_422),
% 2.68/0.71 inference(resolution,[status(thm)],[f3275,f29])).
% 2.68/0.71 fof(f3325,plain,(
% 2.68/0.71 ~spl0_54|spl0_538|~spl0_422),
% 2.68/0.71 inference(split_clause,[status(thm)],[f3324,f345,f3321,f2592])).
% 2.68/0.71 fof(f3346,plain,(
% 2.68/0.71 ![X0]: (p(X0,s0,s0,s2,s2)|~spl0_538)),
% 2.68/0.71 inference(resolution,[status(thm)],[f3322,f18])).
% 2.68/0.71 fof(f3363,plain,(
% 2.68/0.71 ![X0,X1]: (~neq(X0,s0)|~neq(X0,X1)|p(X0,X1,s0,s2,s2)|~spl0_538)),
% 2.68/0.71 inference(resolution,[status(thm)],[f3346,f20])).
% 2.68/0.71 fof(f3367,plain,(
% 2.68/0.71 ![X0]: (~neq(s2,X0)|p(s2,X0,s0,s2,s2)|~spl0_538)),
% 2.68/0.71 inference(resolution,[status(thm)],[f3363,f33])).
% 2.68/0.71 fof(f3408,plain,(
% 2.68/0.71 p(s2,s1,s0,s2,s2)|~spl0_538),
% 2.68/0.71 inference(resolution,[status(thm)],[f3367,f34])).
% 2.68/0.71 fof(f3430,plain,(
% 2.68/0.71 ![X0]: (p(X0,s1,s0,s2,s2)|~spl0_538)),
% 2.68/0.71 inference(resolution,[status(thm)],[f3408,f18])).
% 2.68/0.71 fof(f3443,plain,(
% 2.68/0.71 spl0_559 <=> ~neq(X0,s0)|~neq(X0,X1)|~neq(s1,X1)|p(X0,s1,X1,s2,s2)),
% 2.68/0.71 introduced(split_symbol_definition)).
% 2.68/0.71 fof(f3444,plain,(
% 2.68/0.71 ![X0,X1]: (~neq(X0,s0)|~neq(X0,X1)|~neq(s1,X1)|p(X0,s1,X1,s2,s2)|~spl0_559)),
% 2.68/0.71 inference(component_clause,[status(thm)],[f3443])).
% 2.68/0.71 fof(f3446,plain,(
% 2.68/0.71 ![X0,X1]: (~neq(X0,s0)|~neq(X0,X1)|~neq(s1,s0)|~neq(s1,X1)|p(X0,s1,X1,s2,s2)|~spl0_538)),
% 2.68/0.71 inference(resolution,[status(thm)],[f3430,f22])).
% 2.68/0.71 fof(f3447,plain,(
% 2.68/0.71 spl0_559|~spl0_8|~spl0_538),
% 2.68/0.71 inference(split_clause,[status(thm)],[f3446,f3443,f83,f3321])).
% 2.68/0.71 fof(f4223,plain,(
% 2.68/0.71 ![X0]: (~neq(X0,s0)|~neq(X0,s2)|p(X0,s1,s2,s2,s2)|~spl0_559)),
% 2.68/0.71 inference(resolution,[status(thm)],[f3444,f32])).
% 2.68/0.71 fof(f4339,plain,(
% 2.68/0.71 spl0_704 <=> p(s1,s1,s2,s2,s2)),
% 2.68/0.71 introduced(split_symbol_definition)).
% 2.68/0.71 fof(f4340,plain,(
% 2.68/0.71 p(s1,s1,s2,s2,s2)|~spl0_704),
% 2.68/0.71 inference(component_clause,[status(thm)],[f4339])).
% 2.68/0.71 fof(f4342,plain,(
% 2.68/0.71 ~neq(s1,s0)|p(s1,s1,s2,s2,s2)|~spl0_559),
% 2.68/0.71 inference(resolution,[status(thm)],[f4223,f32])).
% 2.68/0.71 fof(f4343,plain,(
% 2.68/0.71 ~spl0_8|spl0_704|~spl0_559),
% 2.68/0.71 inference(split_clause,[status(thm)],[f4342,f83,f4339,f3443])).
% 2.68/0.71 fof(f4369,plain,(
% 2.68/0.71 ![X0]: (p(X0,s1,s2,s2,s2)|~spl0_704)),
% 2.68/0.71 inference(resolution,[status(thm)],[f4340,f18])).
% 2.68/0.71 fof(f4386,plain,(
% 2.68/0.71 ![X0,X1]: (~neq(X0,s1)|~neq(X0,X1)|p(X0,X1,s2,s2,s2)|~spl0_704)),
% 2.68/0.71 inference(resolution,[status(thm)],[f4369,f20])).
% 2.68/0.71 fof(f4618,plain,(
% 2.68/0.71 ![X0]: (~neq(s0,X0)|p(s0,X0,s2,s2,s2)|~spl0_704)),
% 2.68/0.71 inference(resolution,[status(thm)],[f4386,f28])).
% 2.68/0.71 fof(f4689,plain,(
% 2.68/0.71 p(s0,s2,s2,s2,s2)|~spl0_704),
% 2.68/0.71 inference(resolution,[status(thm)],[f4618,f29])).
% 2.68/0.71 fof(f4710,plain,(
% 2.68/0.71 ![X0]: (p(X0,s2,s2,s2,s2)|~spl0_704)),
% 2.68/0.71 inference(resolution,[status(thm)],[f4689,f18])).
% 2.68/0.71 fof(f4711,plain,(
% 2.68/0.71 $false|~spl0_704),
% 2.68/0.71 inference(backward_subsumption_resolution,[status(thm)],[f37,f4710])).
% 2.68/0.71 fof(f4712,plain,(
% 2.68/0.71 ~spl0_704),
% 2.68/0.71 inference(contradiction_clause,[status(thm)],[f4711])).
% 2.68/0.71 fof(f4713,plain,(
% 2.68/0.71 $false),
% 2.68/0.71 inference(sat_refutation,[status(thm)],[f116,f118,f163,f178,f273,f374,f462,f519,f665,f811,f1340,f1454,f1843,f2004,f2435,f2596,f3325,f3447,f4343,f4712])).
% 2.68/0.71 % SZS output end CNFRefutation for theBenchmark.p
% 2.68/0.72 % Elapsed time: 0.359353 seconds
% 2.68/0.72 % CPU time: 2.736154 seconds
% 2.68/0.72 % Total memory used: 68.422 MB
% 2.68/0.72 % Net memory used: 66.211 MB
%------------------------------------------------------------------------------