TSTP Solution File: SYN191-1 by Drodi---3.6.0
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Drodi---3.6.0
% Problem : SYN191-1 : TPTP v8.1.2. Released v1.1.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% Computer : n017.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 20:51:33 EDT 2024
% Result : Unsatisfiable 0.20s 0.49s
% Output : CNFRefutation 0.20s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.13 % Problem : SYN191-1 : TPTP v8.1.2. Released v1.1.0.
% 0.07/0.13 % Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.13/0.34 % Computer : n017.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % WCLimit : 300
% 0.13/0.34 % DateTime : Mon Apr 29 21:39:03 EDT 2024
% 0.13/0.35 % CPUTime :
% 0.13/0.36 % Drodi V3.6.0
% 0.20/0.49 % Refutation found
% 0.20/0.49 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.20/0.49 % SZS output start CNFRefutation for theBenchmark
% 0.20/0.49 fof(f3,axiom,(
% 0.20/0.49 n0(d,e) ),
% 0.20/0.49 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.20/0.49 fof(f9,axiom,(
% 0.20/0.49 r0(b) ),
% 0.20/0.49 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.20/0.49 fof(f12,axiom,(
% 0.20/0.49 (![X]: (m0(a,X,a) ))),
% 0.20/0.49 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.20/0.49 fof(f17,axiom,(
% 0.20/0.49 (![X]: (q0(X,d) ))),
% 0.20/0.49 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.20/0.49 fof(f19,axiom,(
% 0.20/0.49 (![X,Y]: (m0(X,d,Y) ))),
% 0.20/0.49 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.20/0.49 fof(f21,axiom,(
% 0.20/0.49 q0(b,e) ),
% 0.20/0.49 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.20/0.49 fof(f24,axiom,(
% 0.20/0.49 l0(c) ),
% 0.20/0.49 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.20/0.49 fof(f26,axiom,(
% 0.20/0.49 n0(d,c) ),
% 0.20/0.49 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.20/0.49 fof(f30,axiom,(
% 0.20/0.49 n0(e,e) ),
% 0.20/0.49 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.20/0.49 fof(f33,axiom,(
% 0.20/0.49 q0(d,c) ),
% 0.20/0.49 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.20/0.49 fof(f37,axiom,(
% 0.20/0.49 n0(b,a) ),
% 0.20/0.49 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.20/0.49 fof(f40,axiom,(
% 0.20/0.49 (![G,H]: (( l1(G,G)| ~ n0(H,G) ) ))),
% 0.20/0.49 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.20/0.49 fof(f73,axiom,(
% 0.20/0.49 (![I,J]: (( m1(I,J,I)| ~ r0(I)| ~ l0(J) ) ))),
% 0.20/0.49 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.20/0.49 fof(f104,axiom,(
% 0.20/0.49 (![G,H]: (( p1(G,G,G)| ~ n0(H,G) ) ))),
% 0.20/0.49 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.20/0.49 fof(f105,axiom,(
% 0.20/0.49 (![E,F]: (( p1(E,E,E)| ~ q0(F,E) ) ))),
% 0.20/0.49 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.20/0.49 fof(f145,axiom,(
% 0.20/0.49 (![A]: (( q1(e,A,A)| ~ m0(A,d,A)| ~ m0(e,d,A) ) ))),
% 0.20/0.49 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.20/0.49 fof(f167,axiom,(
% 0.20/0.49 (![J,A]: (( k2(J,J)| ~ q1(A,J,J) ) ))),
% 0.20/0.49 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.20/0.49 fof(f184,axiom,(
% 0.20/0.49 (![C,D,E,F]: (( p2(C,D,D)| ~ p1(C,E,F)| ~ l1(E,F)| ~ p2(C,D,C) ) ))),
% 0.20/0.49 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.20/0.49 fof(f214,axiom,(
% 0.20/0.49 (![D,E]: (( p2(D,E,D)| ~ m1(E,D,E) ) ))),
% 0.20/0.49 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.20/0.49 fof(f219,axiom,(
% 0.20/0.49 (![I]: (( q2(I,I,I)| ~ p1(I,I,I) ) ))),
% 0.20/0.49 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.20/0.49 fof(f293,axiom,(
% 0.20/0.49 (![G,H,I]: (( q3(G,H)| ~ q2(I,G,H)| ~ n0(I,G) ) ))),
% 0.20/0.49 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.20/0.49 fof(f305,axiom,(
% 0.20/0.49 (![B,C,D]: (( r3(B,C,B)| ~ p2(B,D,C) ) ))),
% 0.20/0.49 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.20/0.49 fof(f369,negated_conjecture,(
% 0.20/0.49 ~ r3(c,b,c) ),
% 0.20/0.49 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.20/0.49 fof(f372,plain,(
% 0.20/0.49 n0(d,e)),
% 0.20/0.49 inference(cnf_transformation,[status(esa)],[f3])).
% 0.20/0.49 fof(f378,plain,(
% 0.20/0.49 r0(b)),
% 0.20/0.49 inference(cnf_transformation,[status(esa)],[f9])).
% 0.20/0.49 fof(f381,plain,(
% 0.20/0.49 ![X0]: (m0(a,X0,a))),
% 0.20/0.49 inference(cnf_transformation,[status(esa)],[f12])).
% 0.20/0.49 fof(f386,plain,(
% 0.20/0.49 ![X0]: (q0(X0,d))),
% 0.20/0.49 inference(cnf_transformation,[status(esa)],[f17])).
% 0.20/0.49 fof(f388,plain,(
% 0.20/0.49 ![X0,X1]: (m0(X0,d,X1))),
% 0.20/0.49 inference(cnf_transformation,[status(esa)],[f19])).
% 0.20/0.49 fof(f390,plain,(
% 0.20/0.49 q0(b,e)),
% 0.20/0.49 inference(cnf_transformation,[status(esa)],[f21])).
% 0.20/0.49 fof(f393,plain,(
% 0.20/0.49 l0(c)),
% 0.20/0.49 inference(cnf_transformation,[status(esa)],[f24])).
% 0.20/0.49 fof(f395,plain,(
% 0.20/0.49 n0(d,c)),
% 0.20/0.49 inference(cnf_transformation,[status(esa)],[f26])).
% 0.20/0.49 fof(f399,plain,(
% 0.20/0.49 n0(e,e)),
% 0.20/0.49 inference(cnf_transformation,[status(esa)],[f30])).
% 0.20/0.49 fof(f402,plain,(
% 0.20/0.49 q0(d,c)),
% 0.20/0.49 inference(cnf_transformation,[status(esa)],[f33])).
% 0.20/0.49 fof(f406,plain,(
% 0.20/0.49 n0(b,a)),
% 0.20/0.49 inference(cnf_transformation,[status(esa)],[f37])).
% 0.20/0.49 fof(f410,plain,(
% 0.20/0.49 ![G]: (l1(G,G)|(![H]: ~n0(H,G)))),
% 0.20/0.49 inference(miniscoping,[status(esa)],[f40])).
% 0.20/0.49 fof(f411,plain,(
% 0.20/0.49 ![X0,X1]: (l1(X0,X0)|~n0(X1,X0))),
% 0.20/0.49 inference(cnf_transformation,[status(esa)],[f410])).
% 0.20/0.49 fof(f464,plain,(
% 0.20/0.49 ![J]: ((![I]: (m1(I,J,I)|~r0(I)))|~l0(J))),
% 0.20/0.49 inference(miniscoping,[status(esa)],[f73])).
% 0.20/0.49 fof(f465,plain,(
% 0.20/0.49 ![X0,X1]: (m1(X0,X1,X0)|~r0(X0)|~l0(X1))),
% 0.20/0.49 inference(cnf_transformation,[status(esa)],[f464])).
% 0.20/0.49 fof(f513,plain,(
% 0.20/0.49 ![G]: (p1(G,G,G)|(![H]: ~n0(H,G)))),
% 0.20/0.51 inference(miniscoping,[status(esa)],[f104])).
% 0.20/0.51 fof(f514,plain,(
% 0.20/0.51 ![X0,X1]: (p1(X0,X0,X0)|~n0(X1,X0))),
% 0.20/0.51 inference(cnf_transformation,[status(esa)],[f513])).
% 0.20/0.51 fof(f515,plain,(
% 0.20/0.51 ![E]: (p1(E,E,E)|(![F]: ~q0(F,E)))),
% 0.20/0.51 inference(miniscoping,[status(esa)],[f105])).
% 0.20/0.51 fof(f516,plain,(
% 0.20/0.51 ![X0,X1]: (p1(X0,X0,X0)|~q0(X1,X0))),
% 0.20/0.51 inference(cnf_transformation,[status(esa)],[f515])).
% 0.20/0.51 fof(f578,plain,(
% 0.20/0.51 ![X0]: (q1(e,X0,X0)|~m0(X0,d,X0)|~m0(e,d,X0))),
% 0.20/0.51 inference(cnf_transformation,[status(esa)],[f145])).
% 0.20/0.51 fof(f613,plain,(
% 0.20/0.51 ![J]: (k2(J,J)|(![A]: ~q1(A,J,J)))),
% 0.20/0.51 inference(miniscoping,[status(esa)],[f167])).
% 0.20/0.51 fof(f614,plain,(
% 0.20/0.51 ![X0,X1]: (k2(X0,X0)|~q1(X1,X0,X0))),
% 0.20/0.51 inference(cnf_transformation,[status(esa)],[f613])).
% 0.20/0.51 fof(f639,plain,(
% 0.20/0.51 ![C,D]: ((![E,F]: ((p2(C,D,D)|~p1(C,E,F))|~l1(E,F)))|~p2(C,D,C))),
% 0.20/0.51 inference(miniscoping,[status(esa)],[f184])).
% 0.20/0.51 fof(f640,plain,(
% 0.20/0.51 ![X0,X1,X2,X3]: (p2(X0,X1,X1)|~p1(X0,X2,X3)|~l1(X2,X3)|~p2(X0,X1,X0))),
% 0.20/0.51 inference(cnf_transformation,[status(esa)],[f639])).
% 0.20/0.51 fof(f685,plain,(
% 0.20/0.51 ![X0,X1]: (p2(X0,X1,X0)|~m1(X1,X0,X1))),
% 0.20/0.51 inference(cnf_transformation,[status(esa)],[f214])).
% 0.20/0.51 fof(f692,plain,(
% 0.20/0.51 ![X0]: (q2(X0,X0,X0)|~p1(X0,X0,X0))),
% 0.20/0.51 inference(cnf_transformation,[status(esa)],[f219])).
% 0.20/0.51 fof(f801,plain,(
% 0.20/0.51 ![G,I]: ((![H]: (q3(G,H)|~q2(I,G,H)))|~n0(I,G))),
% 0.20/0.51 inference(miniscoping,[status(esa)],[f293])).
% 0.20/0.51 fof(f802,plain,(
% 0.20/0.51 ![X0,X1,X2]: (q3(X0,X1)|~q2(X2,X0,X1)|~n0(X2,X0))),
% 0.20/0.51 inference(cnf_transformation,[status(esa)],[f801])).
% 0.20/0.51 fof(f820,plain,(
% 0.20/0.51 ![B,C]: (r3(B,C,B)|(![D]: ~p2(B,D,C)))),
% 0.20/0.51 inference(miniscoping,[status(esa)],[f305])).
% 0.20/0.51 fof(f821,plain,(
% 0.20/0.51 ![X0,X1,X2]: (r3(X0,X1,X0)|~p2(X0,X2,X1))),
% 0.20/0.51 inference(cnf_transformation,[status(esa)],[f820])).
% 0.20/0.51 fof(f924,plain,(
% 0.20/0.51 ~r3(c,b,c)),
% 0.20/0.51 inference(cnf_transformation,[status(esa)],[f369])).
% 0.20/0.51 fof(f956,plain,(
% 0.20/0.51 spl0_9 <=> l1(c,c)),
% 0.20/0.51 introduced(split_symbol_definition)).
% 0.20/0.51 fof(f957,plain,(
% 0.20/0.51 l1(c,c)|~spl0_9),
% 0.20/0.51 inference(component_clause,[status(thm)],[f956])).
% 0.20/0.51 fof(f958,plain,(
% 0.20/0.51 ~l1(c,c)|spl0_9),
% 0.20/0.51 inference(component_clause,[status(thm)],[f956])).
% 0.20/0.51 fof(f994,plain,(
% 0.20/0.51 spl0_20 <=> l0(c)),
% 0.20/0.51 introduced(split_symbol_definition)).
% 0.20/0.51 fof(f996,plain,(
% 0.20/0.51 ~l0(c)|spl0_20),
% 0.20/0.51 inference(component_clause,[status(thm)],[f994])).
% 0.20/0.51 fof(f1058,plain,(
% 0.20/0.51 spl0_38 <=> ~m0(X1,X2,X1)|~q0(X3,X2)),
% 0.20/0.51 introduced(split_symbol_definition)).
% 0.20/0.51 fof(f1059,plain,(
% 0.20/0.51 ![X0,X1,X2]: (~m0(X0,X1,X0)|~q0(X2,X1)|~spl0_38)),
% 0.20/0.51 inference(component_clause,[status(thm)],[f1058])).
% 0.20/0.51 fof(f1100,plain,(
% 0.20/0.51 spl0_50 <=> r0(b)),
% 0.20/0.51 introduced(split_symbol_definition)).
% 0.20/0.51 fof(f1102,plain,(
% 0.20/0.51 ~r0(b)|spl0_50),
% 0.20/0.51 inference(component_clause,[status(thm)],[f1100])).
% 0.20/0.51 fof(f1787,plain,(
% 0.20/0.51 spl0_244 <=> k2(a,a)),
% 0.20/0.51 introduced(split_symbol_definition)).
% 0.20/0.51 fof(f1789,plain,(
% 0.20/0.51 ~k2(a,a)|spl0_244),
% 0.20/0.51 inference(component_clause,[status(thm)],[f1787])).
% 0.20/0.51 fof(f1848,plain,(
% 0.20/0.51 spl0_262 <=> ~q3(X1,X2)),
% 0.20/0.51 introduced(split_symbol_definition)).
% 0.20/0.51 fof(f1849,plain,(
% 0.20/0.51 ![X0,X1]: (~q3(X0,X1)|~spl0_262)),
% 0.20/0.51 inference(component_clause,[status(thm)],[f1848])).
% 0.20/0.51 fof(f1993,plain,(
% 0.20/0.51 ![X0]: (q1(e,X0,X0)|~m0(e,d,X0))),
% 0.20/0.51 inference(forward_subsumption_resolution,[status(thm)],[f578,f388])).
% 0.20/0.51 fof(f2013,plain,(
% 0.20/0.51 $false|spl0_50),
% 0.20/0.51 inference(forward_subsumption_resolution,[status(thm)],[f1102,f378])).
% 0.20/0.51 fof(f2014,plain,(
% 0.20/0.51 spl0_50),
% 0.20/0.51 inference(contradiction_clause,[status(thm)],[f2013])).
% 0.20/0.51 fof(f2017,plain,(
% 0.20/0.51 $false|spl0_20),
% 0.20/0.51 inference(forward_subsumption_resolution,[status(thm)],[f996,f393])).
% 0.20/0.51 fof(f2018,plain,(
% 0.20/0.51 spl0_20),
% 0.20/0.51 inference(contradiction_clause,[status(thm)],[f2017])).
% 0.20/0.51 fof(f2057,plain,(
% 0.20/0.51 ![X0,X1,X2]: (~q2(X0,X1,X2)|~n0(X0,X1)|~spl0_262)),
% 0.20/0.51 inference(backward_subsumption_resolution,[status(thm)],[f802,f1849])).
% 0.20/0.51 fof(f2072,plain,(
% 0.20/0.51 ![X0]: (q1(e,X0,X0))),
% 0.20/0.51 inference(forward_subsumption_resolution,[status(thm)],[f1993,f388])).
% 0.20/0.51 fof(f2170,plain,(
% 0.20/0.51 ![X0]: (~n0(X0,c)|spl0_9)),
% 0.20/0.51 inference(resolution,[status(thm)],[f411,f958])).
% 0.20/0.51 fof(f2174,plain,(
% 0.20/0.51 $false|spl0_9),
% 0.20/0.51 inference(backward_subsumption_resolution,[status(thm)],[f395,f2170])).
% 0.20/0.51 fof(f2175,plain,(
% 0.20/0.51 spl0_9),
% 0.20/0.51 inference(contradiction_clause,[status(thm)],[f2174])).
% 0.20/0.51 fof(f2251,plain,(
% 0.20/0.51 ![X0]: (~n0(X0,X0)|~p1(X0,X0,X0)|~spl0_262)),
% 0.20/0.51 inference(resolution,[status(thm)],[f2057,f692])).
% 0.20/0.51 fof(f2252,plain,(
% 0.20/0.51 ![X0]: (~n0(X0,X0)|~spl0_262)),
% 0.20/0.51 inference(forward_subsumption_resolution,[status(thm)],[f2251,f514])).
% 0.20/0.51 fof(f2257,plain,(
% 0.20/0.51 $false|~spl0_262),
% 0.20/0.51 inference(backward_subsumption_resolution,[status(thm)],[f399,f2252])).
% 0.20/0.51 fof(f2258,plain,(
% 0.20/0.51 ~spl0_262),
% 0.20/0.51 inference(contradiction_clause,[status(thm)],[f2257])).
% 0.20/0.51 fof(f2268,plain,(
% 0.20/0.51 ![X0]: (~q1(X0,a,a)|spl0_244)),
% 0.20/0.51 inference(resolution,[status(thm)],[f614,f1789])).
% 0.20/0.51 fof(f2271,plain,(
% 0.20/0.51 $false|spl0_244),
% 0.20/0.51 inference(resolution,[status(thm)],[f2268,f2072])).
% 0.20/0.51 fof(f2272,plain,(
% 0.20/0.51 spl0_244),
% 0.20/0.51 inference(contradiction_clause,[status(thm)],[f2271])).
% 0.20/0.51 fof(f2292,plain,(
% 0.20/0.51 spl0_310 <=> ~n0(X0,a)),
% 0.20/0.51 introduced(split_symbol_definition)).
% 0.20/0.51 fof(f2293,plain,(
% 0.20/0.51 ![X0]: (~n0(X0,a)|~spl0_310)),
% 0.20/0.51 inference(component_clause,[status(thm)],[f2292])).
% 0.20/0.51 fof(f2299,plain,(
% 0.20/0.51 $false|~spl0_310),
% 0.20/0.51 inference(backward_subsumption_resolution,[status(thm)],[f406,f2293])).
% 0.20/0.51 fof(f2300,plain,(
% 0.20/0.51 ~spl0_310),
% 0.20/0.51 inference(contradiction_clause,[status(thm)],[f2299])).
% 0.20/0.51 fof(f2312,plain,(
% 0.20/0.51 ![X0,X1]: (~q0(X0,X1)|~spl0_38)),
% 0.20/0.51 inference(resolution,[status(thm)],[f1059,f381])).
% 0.20/0.51 fof(f2314,plain,(
% 0.20/0.51 $false|~spl0_38),
% 0.20/0.51 inference(backward_subsumption_resolution,[status(thm)],[f390,f2312])).
% 0.20/0.51 fof(f2315,plain,(
% 0.20/0.51 ~spl0_38),
% 0.20/0.51 inference(contradiction_clause,[status(thm)],[f2314])).
% 0.20/0.51 fof(f2380,plain,(
% 0.20/0.51 spl0_316 <=> ~p1(c,X0,X1)|~l1(X0,X1)),
% 0.20/0.51 introduced(split_symbol_definition)).
% 0.20/0.51 fof(f2381,plain,(
% 0.20/0.51 ![X0,X1]: (~p1(c,X0,X1)|~l1(X0,X1)|~spl0_316)),
% 0.20/0.51 inference(component_clause,[status(thm)],[f2380])).
% 0.20/0.51 fof(f2388,plain,(
% 0.20/0.51 ![X0,X1,X2,X3]: (~p1(X0,X1,X2)|~l1(X1,X2)|~p2(X0,X3,X0)|r3(X0,X3,X0))),
% 0.20/0.51 inference(resolution,[status(thm)],[f640,f821])).
% 0.20/0.51 fof(f2390,plain,(
% 0.20/0.51 spl0_318 <=> p2(c,b,c)),
% 0.20/0.51 introduced(split_symbol_definition)).
% 0.20/0.51 fof(f2392,plain,(
% 0.20/0.51 ~p2(c,b,c)|spl0_318),
% 0.20/0.51 inference(component_clause,[status(thm)],[f2390])).
% 0.20/0.51 fof(f2393,plain,(
% 0.20/0.51 ![X0,X1]: (~p1(c,X0,X1)|~l1(X0,X1)|~p2(c,b,c))),
% 0.20/0.51 inference(resolution,[status(thm)],[f2388,f924])).
% 0.20/0.51 fof(f2394,plain,(
% 0.20/0.51 spl0_316|~spl0_318),
% 0.20/0.51 inference(split_clause,[status(thm)],[f2393,f2380,f2390])).
% 0.20/0.51 fof(f2395,plain,(
% 0.20/0.51 ~m1(b,c,b)|spl0_318),
% 0.20/0.51 inference(resolution,[status(thm)],[f2392,f685])).
% 0.20/0.51 fof(f2401,plain,(
% 0.20/0.51 ~r0(b)|~l0(c)|spl0_318),
% 0.20/0.51 inference(resolution,[status(thm)],[f2395,f465])).
% 0.20/0.51 fof(f2402,plain,(
% 0.20/0.51 ~spl0_50|~spl0_20|spl0_318),
% 0.20/0.51 inference(split_clause,[status(thm)],[f2401,f1100,f994,f2390])).
% 0.20/0.51 fof(f2423,plain,(
% 0.20/0.51 spl0_321 <=> p1(d,d,d)),
% 0.20/0.51 introduced(split_symbol_definition)).
% 0.20/0.51 fof(f2425,plain,(
% 0.20/0.51 ~p1(d,d,d)|spl0_321),
% 0.20/0.51 inference(component_clause,[status(thm)],[f2423])).
% 0.20/0.51 fof(f2433,plain,(
% 0.20/0.51 ![X0]: (~q0(X0,d)|spl0_321)),
% 0.20/0.51 inference(resolution,[status(thm)],[f2425,f516])).
% 0.20/0.51 fof(f2434,plain,(
% 0.20/0.51 $false|spl0_321),
% 0.20/0.51 inference(forward_subsumption_resolution,[status(thm)],[f2433,f386])).
% 0.20/0.51 fof(f2435,plain,(
% 0.20/0.51 spl0_321),
% 0.20/0.51 inference(contradiction_clause,[status(thm)],[f2434])).
% 0.20/0.51 fof(f2462,plain,(
% 0.20/0.51 spl0_325 <=> n0(d,e)),
% 0.20/0.51 introduced(split_symbol_definition)).
% 0.20/0.51 fof(f2464,plain,(
% 0.20/0.51 ~n0(d,e)|spl0_325),
% 0.20/0.51 inference(component_clause,[status(thm)],[f2462])).
% 0.20/0.51 fof(f2467,plain,(
% 0.20/0.51 $false|spl0_325),
% 0.20/0.51 inference(forward_subsumption_resolution,[status(thm)],[f2464,f372])).
% 0.20/0.51 fof(f2468,plain,(
% 0.20/0.51 spl0_325),
% 0.20/0.51 inference(contradiction_clause,[status(thm)],[f2467])).
% 0.20/0.51 fof(f2469,plain,(
% 0.20/0.51 ~p1(c,c,c)|~spl0_316|~spl0_9),
% 0.20/0.51 inference(resolution,[status(thm)],[f2381,f957])).
% 0.20/0.51 fof(f2489,plain,(
% 0.20/0.51 ![X0]: (~q0(X0,c)|~spl0_316|~spl0_9)),
% 0.20/0.51 inference(resolution,[status(thm)],[f2469,f516])).
% 0.20/0.51 fof(f2500,plain,(
% 0.20/0.51 $false|~spl0_316|~spl0_9),
% 0.20/0.51 inference(backward_subsumption_resolution,[status(thm)],[f402,f2489])).
% 0.20/0.51 fof(f2501,plain,(
% 0.20/0.51 ~spl0_316|~spl0_9),
% 0.20/0.51 inference(contradiction_clause,[status(thm)],[f2500])).
% 0.20/0.51 fof(f2502,plain,(
% 0.20/0.51 $false),
% 0.20/0.51 inference(sat_refutation,[status(thm)],[f2014,f2018,f2175,f2258,f2272,f2300,f2315,f2394,f2402,f2435,f2468,f2501])).
% 0.20/0.51 % SZS output end CNFRefutation for theBenchmark.p
% 0.20/0.51 % Elapsed time: 0.160977 seconds
% 0.20/0.51 % CPU time: 1.088674 seconds
% 0.20/0.51 % Total memory used: 59.101 MB
% 0.20/0.51 % Net memory used: 58.002 MB
%------------------------------------------------------------------------------