TSTP Solution File: SYN273-1 by Drodi---3.6.0
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Drodi---3.6.0
% Problem : SYN273-1 : TPTP v8.1.2. Released v1.1.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% Computer : n019.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 20:51:44 EDT 2024
% Result : Unsatisfiable 0.19s 0.48s
% Output : CNFRefutation 0.19s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : SYN273-1 : TPTP v8.1.2. Released v1.1.0.
% 0.03/0.12 % Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.12/0.33 % Computer : n019.cluster.edu
% 0.12/0.33 % Model : x86_64 x86_64
% 0.12/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33 % Memory : 8042.1875MB
% 0.12/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33 % CPULimit : 300
% 0.12/0.33 % WCLimit : 300
% 0.12/0.33 % DateTime : Mon Apr 29 21:56:59 EDT 2024
% 0.12/0.34 % CPUTime :
% 0.12/0.35 % Drodi V3.6.0
% 0.19/0.48 % Refutation found
% 0.19/0.48 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.19/0.48 % SZS output start CNFRefutation for theBenchmark
% 0.19/0.48 fof(f1,axiom,(
% 0.19/0.48 s0(d) ),
% 0.19/0.48 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.19/0.48 fof(f12,axiom,(
% 0.19/0.48 (![X]: (m0(a,X,a) ))),
% 0.19/0.48 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.19/0.48 fof(f17,axiom,(
% 0.19/0.48 (![X]: (q0(X,d) ))),
% 0.19/0.48 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.19/0.48 fof(f19,axiom,(
% 0.19/0.48 (![X,Y]: (m0(X,d,Y) ))),
% 0.19/0.48 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.19/0.48 fof(f24,axiom,(
% 0.19/0.48 l0(c) ),
% 0.19/0.48 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.19/0.48 fof(f28,axiom,(
% 0.19/0.48 k0(e) ),
% 0.19/0.48 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.19/0.48 fof(f33,axiom,(
% 0.19/0.48 q0(d,c) ),
% 0.19/0.48 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.19/0.48 fof(f34,axiom,(
% 0.19/0.48 n0(c,d) ),
% 0.19/0.48 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.19/0.48 fof(f37,axiom,(
% 0.19/0.48 n0(b,a) ),
% 0.19/0.48 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.19/0.48 fof(f39,axiom,(
% 0.19/0.48 (![I,J]: (( k1(I)| ~ n0(J,I) ) ))),
% 0.19/0.48 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.19/0.48 fof(f43,axiom,(
% 0.19/0.48 (![B,C]: (( m1(B,C,B)| ~ m0(C,C,B) ) ))),
% 0.19/0.48 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.19/0.48 fof(f58,axiom,(
% 0.19/0.48 ( m1(c,c,c)| ~ l0(c) ) ),
% 0.19/0.48 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.19/0.48 fof(f62,axiom,(
% 0.19/0.48 (![F,G,H]: (( m1(F,a,G)| ~ m0(a,H,a)| ~ q0(F,G)| ~ m1(G,c,G) ) ))),
% 0.19/0.48 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.19/0.48 fof(f145,axiom,(
% 0.19/0.48 (![A]: (( q1(e,A,A)| ~ m0(A,d,A)| ~ m0(e,d,A) ) ))),
% 0.19/0.48 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.19/0.48 fof(f155,axiom,(
% 0.19/0.48 ( q1(d,d,d)| ~ k0(e)| ~ s0(d) ) ),
% 0.19/0.48 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.19/0.48 fof(f165,axiom,(
% 0.19/0.48 (![C,D,E,F]: (( k2(C,D)| ~ m1(E,D,C)| ~ k1(F)| ~ k2(F,D) ) ))),
% 0.19/0.48 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.19/0.48 fof(f167,axiom,(
% 0.19/0.48 (![J,A]: (( k2(J,J)| ~ q1(A,J,J) ) ))),
% 0.19/0.48 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.19/0.48 fof(f232,axiom,(
% 0.19/0.48 (![F,G]: (( k3(F,F,G)| ~ k2(G,F) ) ))),
% 0.19/0.48 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.19/0.48 fof(f240,axiom,(
% 0.19/0.48 (![G,H,I,J,A]: (( k3(G,G,H)| ~ q0(I,H)| ~ k2(G,J)| ~ k3(H,A,J) ) ))),
% 0.19/0.48 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.19/0.48 fof(f325,axiom,(
% 0.19/0.48 (![B,C]: (( p4(B,C,B)| ~ k3(B,B,C) ) ))),
% 0.19/0.48 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.19/0.48 fof(f369,negated_conjecture,(
% 0.19/0.48 ~ p4(e,c,e) ),
% 0.19/0.48 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.19/0.48 fof(f370,plain,(
% 0.19/0.48 s0(d)),
% 0.19/0.48 inference(cnf_transformation,[status(esa)],[f1])).
% 0.19/0.48 fof(f381,plain,(
% 0.19/0.48 ![X0]: (m0(a,X0,a))),
% 0.19/0.48 inference(cnf_transformation,[status(esa)],[f12])).
% 0.19/0.48 fof(f386,plain,(
% 0.19/0.48 ![X0]: (q0(X0,d))),
% 0.19/0.48 inference(cnf_transformation,[status(esa)],[f17])).
% 0.19/0.48 fof(f388,plain,(
% 0.19/0.48 ![X0,X1]: (m0(X0,d,X1))),
% 0.19/0.48 inference(cnf_transformation,[status(esa)],[f19])).
% 0.19/0.48 fof(f393,plain,(
% 0.19/0.48 l0(c)),
% 0.19/0.48 inference(cnf_transformation,[status(esa)],[f24])).
% 0.19/0.48 fof(f397,plain,(
% 0.19/0.48 k0(e)),
% 0.19/0.48 inference(cnf_transformation,[status(esa)],[f28])).
% 0.19/0.48 fof(f402,plain,(
% 0.19/0.48 q0(d,c)),
% 0.19/0.48 inference(cnf_transformation,[status(esa)],[f33])).
% 0.19/0.48 fof(f403,plain,(
% 0.19/0.48 n0(c,d)),
% 0.19/0.48 inference(cnf_transformation,[status(esa)],[f34])).
% 0.19/0.48 fof(f406,plain,(
% 0.19/0.48 n0(b,a)),
% 0.19/0.48 inference(cnf_transformation,[status(esa)],[f37])).
% 0.19/0.48 fof(f408,plain,(
% 0.19/0.48 ![I]: (k1(I)|(![J]: ~n0(J,I)))),
% 0.19/0.48 inference(miniscoping,[status(esa)],[f39])).
% 0.19/0.48 fof(f409,plain,(
% 0.19/0.48 ![X0,X1]: (k1(X0)|~n0(X1,X0))),
% 0.19/0.48 inference(cnf_transformation,[status(esa)],[f408])).
% 0.19/0.48 fof(f416,plain,(
% 0.19/0.48 ![X0,X1]: (m1(X0,X1,X0)|~m0(X1,X1,X0))),
% 0.19/0.48 inference(cnf_transformation,[status(esa)],[f43])).
% 0.19/0.48 fof(f441,plain,(
% 0.19/0.48 m1(c,c,c)|~l0(c)),
% 0.19/0.48 inference(cnf_transformation,[status(esa)],[f58])).
% 0.19/0.48 fof(f446,plain,(
% 0.19/0.48 ![G]: ((![F]: ((m1(F,a,G)|(![H]: ~m0(a,H,a)))|~q0(F,G)))|~m1(G,c,G))),
% 0.19/0.48 inference(miniscoping,[status(esa)],[f62])).
% 0.19/0.48 fof(f447,plain,(
% 0.19/0.48 ![X0,X1,X2]: (m1(X0,a,X1)|~m0(a,X2,a)|~q0(X0,X1)|~m1(X1,c,X1))),
% 0.19/0.48 inference(cnf_transformation,[status(esa)],[f446])).
% 0.19/0.48 fof(f578,plain,(
% 0.19/0.48 ![X0]: (q1(e,X0,X0)|~m0(X0,d,X0)|~m0(e,d,X0))),
% 0.19/0.48 inference(cnf_transformation,[status(esa)],[f145])).
% 0.19/0.48 fof(f594,plain,(
% 0.19/0.48 q1(d,d,d)|~k0(e)|~s0(d)),
% 0.19/0.48 inference(cnf_transformation,[status(esa)],[f155])).
% 0.19/0.48 fof(f610,plain,(
% 0.19/0.48 ![D,F]: (((![C]: (k2(C,D)|(![E]: ~m1(E,D,C))))|~k1(F))|~k2(F,D))),
% 0.19/0.48 inference(miniscoping,[status(esa)],[f165])).
% 0.19/0.48 fof(f611,plain,(
% 0.19/0.48 ![X0,X1,X2,X3]: (k2(X0,X1)|~m1(X2,X1,X0)|~k1(X3)|~k2(X3,X1))),
% 0.19/0.48 inference(cnf_transformation,[status(esa)],[f610])).
% 0.19/0.48 fof(f613,plain,(
% 0.19/0.48 ![J]: (k2(J,J)|(![A]: ~q1(A,J,J)))),
% 0.19/0.48 inference(miniscoping,[status(esa)],[f167])).
% 0.19/0.48 fof(f614,plain,(
% 0.19/0.48 ![X0,X1]: (k2(X0,X0)|~q1(X1,X0,X0))),
% 0.19/0.48 inference(cnf_transformation,[status(esa)],[f613])).
% 0.19/0.48 fof(f711,plain,(
% 0.19/0.48 ![X0,X1]: (k3(X0,X0,X1)|~k2(X1,X0))),
% 0.19/0.48 inference(cnf_transformation,[status(esa)],[f232])).
% 0.19/0.48 fof(f723,plain,(
% 0.19/0.48 ![H,J]: ((![G]: ((k3(G,G,H)|(![I]: ~q0(I,H)))|~k2(G,J)))|(![A]: ~k3(H,A,J)))),
% 0.19/0.48 inference(miniscoping,[status(esa)],[f240])).
% 0.19/0.48 fof(f724,plain,(
% 0.19/0.48 ![X0,X1,X2,X3,X4]: (k3(X0,X0,X1)|~q0(X2,X1)|~k2(X0,X3)|~k3(X1,X4,X3))),
% 0.19/0.48 inference(cnf_transformation,[status(esa)],[f723])).
% 0.19/0.48 fof(f853,plain,(
% 0.19/0.48 ![X0,X1]: (p4(X0,X1,X0)|~k3(X0,X0,X1))),
% 0.19/0.48 inference(cnf_transformation,[status(esa)],[f325])).
% 0.19/0.48 fof(f924,plain,(
% 0.19/0.48 ~p4(e,c,e)),
% 0.19/0.48 inference(cnf_transformation,[status(esa)],[f369])).
% 0.19/0.48 fof(f977,plain,(
% 0.19/0.48 spl0_15 <=> ~q0(X1,d)),
% 0.19/0.48 introduced(split_symbol_definition)).
% 0.19/0.48 fof(f978,plain,(
% 0.19/0.48 ![X0]: (~q0(X0,d)|~spl0_15)),
% 0.19/0.48 inference(component_clause,[status(thm)],[f977])).
% 0.19/0.48 fof(f987,plain,(
% 0.19/0.48 spl0_18 <=> s0(d)),
% 0.19/0.48 introduced(split_symbol_definition)).
% 0.19/0.48 fof(f989,plain,(
% 0.19/0.48 ~s0(d)|spl0_18),
% 0.19/0.48 inference(component_clause,[status(thm)],[f987])).
% 0.19/0.48 fof(f991,plain,(
% 0.19/0.48 spl0_19 <=> m1(c,c,c)),
% 0.19/0.48 introduced(split_symbol_definition)).
% 0.19/0.48 fof(f994,plain,(
% 0.19/0.48 spl0_20 <=> l0(c)),
% 0.19/0.48 introduced(split_symbol_definition)).
% 0.19/0.48 fof(f996,plain,(
% 0.19/0.48 ~l0(c)|spl0_20),
% 0.19/0.48 inference(component_clause,[status(thm)],[f994])).
% 0.19/0.48 fof(f997,plain,(
% 0.19/0.48 spl0_19|~spl0_20),
% 0.19/0.48 inference(split_clause,[status(thm)],[f441,f991,f994])).
% 0.19/0.48 fof(f1009,plain,(
% 0.19/0.48 spl0_24 <=> m1(X0,a,X1)|~q0(X0,X1)|~m1(X1,c,X1)),
% 0.19/0.48 introduced(split_symbol_definition)).
% 0.19/0.48 fof(f1010,plain,(
% 0.19/0.48 ![X0,X1]: (m1(X0,a,X1)|~q0(X0,X1)|~m1(X1,c,X1)|~spl0_24)),
% 0.19/0.48 inference(component_clause,[status(thm)],[f1009])).
% 0.19/0.48 fof(f1012,plain,(
% 0.19/0.48 spl0_25 <=> ~m0(a,X2,a)),
% 0.19/0.48 introduced(split_symbol_definition)).
% 0.19/0.48 fof(f1013,plain,(
% 0.19/0.48 ![X0]: (~m0(a,X0,a)|~spl0_25)),
% 0.19/0.48 inference(component_clause,[status(thm)],[f1012])).
% 0.19/0.48 fof(f1015,plain,(
% 0.19/0.48 spl0_24|spl0_25),
% 0.19/0.48 inference(split_clause,[status(thm)],[f447,f1009,f1012])).
% 0.19/0.48 fof(f1037,plain,(
% 0.19/0.48 spl0_32 <=> k0(e)),
% 0.19/0.48 introduced(split_symbol_definition)).
% 0.19/0.48 fof(f1039,plain,(
% 0.19/0.48 ~k0(e)|spl0_32),
% 0.19/0.48 inference(component_clause,[status(thm)],[f1037])).
% 0.19/0.48 fof(f1044,plain,(
% 0.19/0.48 spl0_34 <=> k1(a)),
% 0.19/0.48 introduced(split_symbol_definition)).
% 0.19/0.48 fof(f1046,plain,(
% 0.19/0.48 ~k1(a)|spl0_34),
% 0.19/0.48 inference(component_clause,[status(thm)],[f1044])).
% 0.19/0.48 fof(f1284,plain,(
% 0.19/0.48 spl0_101 <=> q1(d,d,d)),
% 0.19/0.48 introduced(split_symbol_definition)).
% 0.19/0.48 fof(f1285,plain,(
% 0.19/0.48 q1(d,d,d)|~spl0_101),
% 0.19/0.48 inference(component_clause,[status(thm)],[f1284])).
% 0.19/0.48 fof(f1287,plain,(
% 0.19/0.48 spl0_101|~spl0_32|~spl0_18),
% 0.19/0.48 inference(split_clause,[status(thm)],[f594,f1284,f1037,f987])).
% 0.19/0.48 fof(f1421,plain,(
% 0.19/0.48 spl0_140 <=> k1(d)),
% 0.19/0.48 introduced(split_symbol_definition)).
% 0.19/0.48 fof(f1423,plain,(
% 0.19/0.48 ~k1(d)|spl0_140),
% 0.19/0.48 inference(component_clause,[status(thm)],[f1421])).
% 0.19/0.48 fof(f1480,plain,(
% 0.19/0.48 spl0_157 <=> m1(d,a,c)),
% 0.19/0.48 introduced(split_symbol_definition)).
% 0.19/0.48 fof(f1481,plain,(
% 0.19/0.48 m1(d,a,c)|~spl0_157),
% 0.19/0.48 inference(component_clause,[status(thm)],[f1480])).
% 0.19/0.48 fof(f1482,plain,(
% 0.19/0.48 ~m1(d,a,c)|spl0_157),
% 0.19/0.48 inference(component_clause,[status(thm)],[f1480])).
% 0.19/0.48 fof(f1657,plain,(
% 0.19/0.48 spl0_207 <=> k2(a,d)),
% 0.19/0.48 introduced(split_symbol_definition)).
% 0.19/0.48 fof(f1659,plain,(
% 0.19/0.48 ~k2(a,d)|spl0_207),
% 0.19/0.48 inference(component_clause,[status(thm)],[f1657])).
% 0.19/0.48 fof(f1787,plain,(
% 0.19/0.48 spl0_244 <=> k2(a,a)),
% 0.19/0.48 introduced(split_symbol_definition)).
% 0.19/0.48 fof(f1788,plain,(
% 0.19/0.48 k2(a,a)|~spl0_244),
% 0.19/0.48 inference(component_clause,[status(thm)],[f1787])).
% 0.19/0.48 fof(f1789,plain,(
% 0.19/0.48 ~k2(a,a)|spl0_244),
% 0.19/0.48 inference(component_clause,[status(thm)],[f1787])).
% 0.19/0.48 fof(f1993,plain,(
% 0.19/0.48 ![X0]: (q1(e,X0,X0)|~m0(e,d,X0))),
% 0.19/0.48 inference(forward_subsumption_resolution,[status(thm)],[f578,f388])).
% 0.19/0.48 fof(f2017,plain,(
% 0.19/0.48 $false|spl0_20),
% 0.19/0.48 inference(forward_subsumption_resolution,[status(thm)],[f996,f393])).
% 0.19/0.48 fof(f2018,plain,(
% 0.19/0.48 spl0_20),
% 0.19/0.48 inference(contradiction_clause,[status(thm)],[f2017])).
% 0.19/0.48 fof(f2019,plain,(
% 0.19/0.48 $false|spl0_18),
% 0.19/0.48 inference(forward_subsumption_resolution,[status(thm)],[f989,f370])).
% 0.19/0.48 fof(f2020,plain,(
% 0.19/0.48 spl0_18),
% 0.19/0.48 inference(contradiction_clause,[status(thm)],[f2019])).
% 0.19/0.48 fof(f2030,plain,(
% 0.19/0.48 $false|spl0_32),
% 0.19/0.48 inference(forward_subsumption_resolution,[status(thm)],[f1039,f397])).
% 0.19/0.48 fof(f2031,plain,(
% 0.19/0.48 spl0_32),
% 0.19/0.48 inference(contradiction_clause,[status(thm)],[f2030])).
% 0.19/0.48 fof(f2072,plain,(
% 0.19/0.48 ![X0]: (q1(e,X0,X0))),
% 0.19/0.48 inference(forward_subsumption_resolution,[status(thm)],[f1993,f388])).
% 0.19/0.48 fof(f2088,plain,(
% 0.19/0.48 ![X0]: (~n0(X0,d)|spl0_140)),
% 0.19/0.48 inference(resolution,[status(thm)],[f409,f1423])).
% 0.19/0.48 fof(f2089,plain,(
% 0.19/0.48 ![X0]: (~n0(X0,a)|spl0_34)),
% 0.19/0.48 inference(resolution,[status(thm)],[f409,f1046])).
% 0.19/0.48 fof(f2095,plain,(
% 0.19/0.48 $false|spl0_140),
% 0.19/0.48 inference(backward_subsumption_resolution,[status(thm)],[f403,f2088])).
% 0.19/0.48 fof(f2096,plain,(
% 0.19/0.48 spl0_140),
% 0.19/0.48 inference(contradiction_clause,[status(thm)],[f2095])).
% 0.19/0.48 fof(f2097,plain,(
% 0.19/0.48 $false|spl0_34),
% 0.19/0.48 inference(backward_subsumption_resolution,[status(thm)],[f406,f2089])).
% 0.19/0.48 fof(f2098,plain,(
% 0.19/0.48 spl0_34),
% 0.19/0.48 inference(contradiction_clause,[status(thm)],[f2097])).
% 0.19/0.48 fof(f2243,plain,(
% 0.19/0.48 ![X0]: (~q1(X0,a,a)|spl0_244)),
% 0.19/0.48 inference(resolution,[status(thm)],[f614,f1789])).
% 0.19/0.48 fof(f2246,plain,(
% 0.19/0.48 $false|spl0_244),
% 0.19/0.48 inference(resolution,[status(thm)],[f2243,f2072])).
% 0.19/0.48 fof(f2247,plain,(
% 0.19/0.48 spl0_244),
% 0.19/0.48 inference(contradiction_clause,[status(thm)],[f2246])).
% 0.19/0.48 fof(f2334,plain,(
% 0.19/0.48 spl0_313 <=> k2(X0,a)|~m1(X1,a,X0)),
% 0.19/0.48 introduced(split_symbol_definition)).
% 0.19/0.48 fof(f2335,plain,(
% 0.19/0.48 ![X0,X1]: (k2(X0,a)|~m1(X1,a,X0)|~spl0_313)),
% 0.19/0.48 inference(component_clause,[status(thm)],[f2334])).
% 0.19/0.48 fof(f2337,plain,(
% 0.19/0.48 ![X0,X1]: (k2(X0,a)|~m1(X1,a,X0)|~k1(a)|~spl0_244)),
% 0.19/0.48 inference(resolution,[status(thm)],[f611,f1788])).
% 0.19/0.48 fof(f2338,plain,(
% 0.19/0.48 spl0_313|~spl0_34|~spl0_244),
% 0.19/0.48 inference(split_clause,[status(thm)],[f2337,f2334,f1044,f1787])).
% 0.19/0.48 fof(f2437,plain,(
% 0.19/0.48 spl0_319 <=> k2(d,d)),
% 0.19/0.48 introduced(split_symbol_definition)).
% 0.19/0.48 fof(f2438,plain,(
% 0.19/0.48 k2(d,d)|~spl0_319),
% 0.19/0.48 inference(component_clause,[status(thm)],[f2437])).
% 0.19/0.48 fof(f2439,plain,(
% 0.19/0.48 ~k2(d,d)|spl0_319),
% 0.19/0.48 inference(component_clause,[status(thm)],[f2437])).
% 0.19/0.48 fof(f2451,plain,(
% 0.19/0.48 spl0_323 <=> k2(X0,d)|~m1(X1,d,X0)),
% 0.19/0.48 introduced(split_symbol_definition)).
% 0.19/0.48 fof(f2452,plain,(
% 0.19/0.48 ![X0,X1]: (k2(X0,d)|~m1(X1,d,X0)|~spl0_323)),
% 0.19/0.48 inference(component_clause,[status(thm)],[f2451])).
% 0.19/0.48 fof(f2454,plain,(
% 0.19/0.48 ![X0,X1]: (k2(X0,d)|~m1(X1,d,X0)|~k1(d)|~spl0_319)),
% 0.19/0.48 inference(resolution,[status(thm)],[f2438,f611])).
% 0.19/0.48 fof(f2455,plain,(
% 0.19/0.48 spl0_323|~spl0_140|~spl0_319),
% 0.19/0.48 inference(split_clause,[status(thm)],[f2454,f2451,f1421,f2437])).
% 0.19/0.48 fof(f2519,plain,(
% 0.19/0.48 ~k3(e,e,c)),
% 0.19/0.48 inference(resolution,[status(thm)],[f853,f924])).
% 0.19/0.48 fof(f2561,plain,(
% 0.19/0.48 spl0_330 <=> q0(d,c)),
% 0.19/0.48 introduced(split_symbol_definition)).
% 0.19/0.48 fof(f2563,plain,(
% 0.19/0.48 ~q0(d,c)|spl0_330),
% 0.19/0.48 inference(component_clause,[status(thm)],[f2561])).
% 0.19/0.48 fof(f2564,plain,(
% 0.19/0.48 ~q0(d,c)|~m1(c,c,c)|~spl0_24|spl0_157),
% 0.19/0.48 inference(resolution,[status(thm)],[f1010,f1482])).
% 0.19/0.48 fof(f2565,plain,(
% 0.19/0.48 ~spl0_330|~spl0_19|~spl0_24|spl0_157),
% 0.19/0.48 inference(split_clause,[status(thm)],[f2564,f2561,f991,f1009,f1480])).
% 0.19/0.48 fof(f2566,plain,(
% 0.19/0.48 $false|spl0_330),
% 0.19/0.48 inference(forward_subsumption_resolution,[status(thm)],[f2563,f402])).
% 0.19/0.48 fof(f2567,plain,(
% 0.19/0.48 spl0_330),
% 0.19/0.48 inference(contradiction_clause,[status(thm)],[f2566])).
% 0.19/0.48 fof(f2568,plain,(
% 0.19/0.48 $false|~spl0_25),
% 0.19/0.48 inference(forward_subsumption_resolution,[status(thm)],[f1013,f381])).
% 0.19/0.48 fof(f2569,plain,(
% 0.19/0.48 ~spl0_25),
% 0.19/0.48 inference(contradiction_clause,[status(thm)],[f2568])).
% 0.19/0.48 fof(f2645,plain,(
% 0.19/0.48 spl0_342 <=> ~q0(X0,c)),
% 0.19/0.48 introduced(split_symbol_definition)).
% 0.19/0.48 fof(f2646,plain,(
% 0.19/0.48 ![X0]: (~q0(X0,c)|~spl0_342)),
% 0.19/0.48 inference(component_clause,[status(thm)],[f2645])).
% 0.19/0.48 fof(f2648,plain,(
% 0.19/0.48 spl0_343 <=> ~k2(e,X1)|~k3(c,X2,X1)),
% 0.19/0.48 introduced(split_symbol_definition)).
% 0.19/0.48 fof(f2649,plain,(
% 0.19/0.48 ![X0,X1]: (~k2(e,X0)|~k3(c,X1,X0)|~spl0_343)),
% 0.19/0.48 inference(component_clause,[status(thm)],[f2648])).
% 0.19/0.48 fof(f2651,plain,(
% 0.19/0.48 ![X0,X1,X2]: (~q0(X0,c)|~k2(e,X1)|~k3(c,X2,X1))),
% 0.19/0.48 inference(resolution,[status(thm)],[f724,f2519])).
% 0.19/0.48 fof(f2652,plain,(
% 0.19/0.48 spl0_342|spl0_343),
% 0.19/0.48 inference(split_clause,[status(thm)],[f2651,f2645,f2648])).
% 0.19/0.48 fof(f2653,plain,(
% 0.19/0.48 $false|~spl0_342),
% 0.19/0.48 inference(backward_subsumption_resolution,[status(thm)],[f402,f2646])).
% 0.19/0.48 fof(f2654,plain,(
% 0.19/0.48 ~spl0_342),
% 0.19/0.48 inference(contradiction_clause,[status(thm)],[f2653])).
% 0.19/0.48 fof(f2715,plain,(
% 0.19/0.48 spl0_353 <=> ~m1(X1,a,c)),
% 0.19/0.48 introduced(split_symbol_definition)).
% 0.19/0.48 fof(f2716,plain,(
% 0.19/0.48 ![X0]: (~m1(X0,a,c)|~spl0_353)),
% 0.19/0.48 inference(component_clause,[status(thm)],[f2715])).
% 0.19/0.48 fof(f2734,plain,(
% 0.19/0.48 $false|~spl0_353|~spl0_157),
% 0.19/0.48 inference(backward_subsumption_resolution,[status(thm)],[f1481,f2716])).
% 0.19/0.48 fof(f2735,plain,(
% 0.19/0.48 ~spl0_353|~spl0_157),
% 0.19/0.48 inference(contradiction_clause,[status(thm)],[f2734])).
% 0.19/0.48 fof(f2789,plain,(
% 0.19/0.48 spl0_361 <=> ~m1(X0,d,e)),
% 0.19/0.48 introduced(split_symbol_definition)).
% 0.19/0.48 fof(f2790,plain,(
% 0.19/0.48 ![X0]: (~m1(X0,d,e)|~spl0_361)),
% 0.19/0.48 inference(component_clause,[status(thm)],[f2789])).
% 0.19/0.48 fof(f2792,plain,(
% 0.19/0.48 spl0_362 <=> ~k3(c,X1,d)),
% 0.19/0.48 introduced(split_symbol_definition)).
% 0.19/0.48 fof(f2793,plain,(
% 0.19/0.48 ![X0]: (~k3(c,X0,d)|~spl0_362)),
% 0.19/0.48 inference(component_clause,[status(thm)],[f2792])).
% 0.19/0.48 fof(f2795,plain,(
% 0.19/0.48 ![X0,X1]: (~m1(X0,d,e)|~k3(c,X1,d)|~spl0_323|~spl0_343)),
% 0.19/0.48 inference(resolution,[status(thm)],[f2452,f2649])).
% 0.19/0.48 fof(f2796,plain,(
% 0.19/0.48 spl0_361|spl0_362|~spl0_323|~spl0_343),
% 0.19/0.48 inference(split_clause,[status(thm)],[f2795,f2789,f2792,f2451,f2648])).
% 0.19/0.48 fof(f2797,plain,(
% 0.19/0.48 ![X0]: (~m1(X0,d,a)|~spl0_323|spl0_207)),
% 0.19/0.48 inference(resolution,[status(thm)],[f2452,f1659])).
% 0.19/0.48 fof(f2798,plain,(
% 0.19/0.48 spl0_363 <=> ~m1(X0,d,c)),
% 0.19/0.48 introduced(split_symbol_definition)).
% 0.19/0.48 fof(f2799,plain,(
% 0.19/0.48 ![X0]: (~m1(X0,d,c)|~spl0_363)),
% 0.19/0.48 inference(component_clause,[status(thm)],[f2798])).
% 0.19/0.48 fof(f2814,plain,(
% 0.19/0.48 ~m0(d,d,a)|~spl0_323|spl0_207),
% 0.19/0.48 inference(resolution,[status(thm)],[f2797,f416])).
% 0.19/0.48 fof(f2815,plain,(
% 0.19/0.48 $false|~spl0_323|spl0_207),
% 0.19/0.48 inference(forward_subsumption_resolution,[status(thm)],[f2814,f388])).
% 0.19/0.48 fof(f2816,plain,(
% 0.19/0.48 ~spl0_323|spl0_207),
% 0.19/0.48 inference(contradiction_clause,[status(thm)],[f2815])).
% 0.19/0.48 fof(f2827,plain,(
% 0.19/0.48 ~m0(d,d,e)|~spl0_361),
% 0.19/0.48 inference(resolution,[status(thm)],[f2790,f416])).
% 0.19/0.48 fof(f2828,plain,(
% 0.19/0.48 $false|~spl0_361),
% 0.19/0.48 inference(forward_subsumption_resolution,[status(thm)],[f2827,f388])).
% 0.19/0.48 fof(f2829,plain,(
% 0.19/0.48 ~spl0_361),
% 0.19/0.48 inference(contradiction_clause,[status(thm)],[f2828])).
% 0.19/0.48 fof(f2842,plain,(
% 0.19/0.48 ![X0]: (~q1(X0,d,d)|spl0_319)),
% 0.19/0.48 inference(resolution,[status(thm)],[f2439,f614])).
% 0.19/0.48 fof(f2843,plain,(
% 0.19/0.48 $false|spl0_319|~spl0_101),
% 0.19/0.48 inference(backward_subsumption_resolution,[status(thm)],[f1285,f2842])).
% 0.19/0.48 fof(f2844,plain,(
% 0.19/0.48 spl0_319|~spl0_101),
% 0.19/0.48 inference(contradiction_clause,[status(thm)],[f2843])).
% 0.19/0.48 fof(f2845,plain,(
% 0.19/0.48 spl0_370 <=> ~k2(c,X1)|~k3(d,X2,X1)),
% 0.19/0.48 introduced(split_symbol_definition)).
% 0.19/0.48 fof(f2846,plain,(
% 0.19/0.48 ![X0,X1]: (~k2(c,X0)|~k3(d,X1,X0)|~spl0_370)),
% 0.19/0.48 inference(component_clause,[status(thm)],[f2845])).
% 0.19/0.48 fof(f2848,plain,(
% 0.19/0.48 ![X0,X1,X2]: (~q0(X0,d)|~k2(c,X1)|~k3(d,X2,X1)|~spl0_362)),
% 0.19/0.48 inference(resolution,[status(thm)],[f2793,f724])).
% 0.19/0.48 fof(f2849,plain,(
% 0.19/0.48 spl0_15|spl0_370|~spl0_362),
% 0.19/0.48 inference(split_clause,[status(thm)],[f2848,f977,f2845,f2792])).
% 0.19/0.48 fof(f2851,plain,(
% 0.19/0.48 $false|~spl0_15),
% 0.19/0.48 inference(forward_subsumption_resolution,[status(thm)],[f978,f386])).
% 0.19/0.48 fof(f2852,plain,(
% 0.19/0.48 ~spl0_15),
% 0.19/0.48 inference(contradiction_clause,[status(thm)],[f2851])).
% 0.19/0.48 fof(f2855,plain,(
% 0.19/0.48 ~m0(d,d,c)|~spl0_363),
% 0.19/0.48 inference(resolution,[status(thm)],[f2799,f416])).
% 0.19/0.48 fof(f2856,plain,(
% 0.19/0.48 $false|~spl0_363),
% 0.19/0.48 inference(forward_subsumption_resolution,[status(thm)],[f2855,f388])).
% 0.19/0.48 fof(f2857,plain,(
% 0.19/0.48 ~spl0_363),
% 0.19/0.48 inference(contradiction_clause,[status(thm)],[f2856])).
% 0.19/0.48 fof(f2873,plain,(
% 0.19/0.48 spl0_373 <=> ~k3(d,X0,a)),
% 0.19/0.48 introduced(split_symbol_definition)).
% 0.19/0.48 fof(f2874,plain,(
% 0.19/0.48 ![X0]: (~k3(d,X0,a)|~spl0_373)),
% 0.19/0.48 inference(component_clause,[status(thm)],[f2873])).
% 0.19/0.48 fof(f2876,plain,(
% 0.19/0.48 ![X0,X1]: (~k3(d,X0,a)|~m1(X1,a,c)|~spl0_370|~spl0_313)),
% 0.19/0.48 inference(resolution,[status(thm)],[f2846,f2335])).
% 0.19/0.48 fof(f2877,plain,(
% 0.19/0.48 spl0_373|spl0_353|~spl0_370|~spl0_313),
% 0.19/0.49 inference(split_clause,[status(thm)],[f2876,f2873,f2715,f2845,f2334])).
% 0.19/0.49 fof(f2888,plain,(
% 0.19/0.49 ~k2(a,d)|~spl0_373),
% 0.19/0.49 inference(resolution,[status(thm)],[f2874,f711])).
% 0.19/0.49 fof(f2889,plain,(
% 0.19/0.49 ~spl0_207|~spl0_373),
% 0.19/0.49 inference(split_clause,[status(thm)],[f2888,f1657,f2873])).
% 0.19/0.49 fof(f2890,plain,(
% 0.19/0.49 $false),
% 0.19/0.49 inference(sat_refutation,[status(thm)],[f997,f1015,f1287,f2018,f2020,f2031,f2096,f2098,f2247,f2338,f2455,f2565,f2567,f2569,f2652,f2654,f2735,f2796,f2816,f2829,f2844,f2849,f2852,f2857,f2877,f2889])).
% 0.19/0.49 % SZS output end CNFRefutation for theBenchmark.p
% 0.19/0.49 % Elapsed time: 0.148383 seconds
% 0.19/0.49 % CPU time: 1.045534 seconds
% 0.19/0.49 % Total memory used: 62.206 MB
% 0.19/0.49 % Net memory used: 61.101 MB
%------------------------------------------------------------------------------