TSTP Solution File: SYN180-1 by Drodi---3.5.1
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Drodi---3.5.1
% Problem : SYN180-1 : TPTP v8.1.2. Released v1.1.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% Computer : n006.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Wed May 31 12:46:11 EDT 2023
% Result : Unsatisfiable 0.18s 0.45s
% Output : CNFRefutation 0.18s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.11 % Problem : SYN180-1 : TPTP v8.1.2. Released v1.1.0.
% 0.12/0.12 % Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.13/0.33 % Computer : n006.cluster.edu
% 0.13/0.33 % Model : x86_64 x86_64
% 0.13/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.33 % Memory : 8042.1875MB
% 0.13/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.33 % CPULimit : 300
% 0.13/0.33 % WCLimit : 300
% 0.13/0.33 % DateTime : Tue May 30 10:24:17 EDT 2023
% 0.13/0.33 % CPUTime :
% 0.18/0.35 % Drodi V3.5.1
% 0.18/0.45 % Refutation found
% 0.18/0.45 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.18/0.45 % SZS output start CNFRefutation for theBenchmark
% 0.18/0.45 fof(f1,axiom,(
% 0.18/0.45 s0(d) ),
% 0.18/0.45 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.18/0.45 fof(f9,axiom,(
% 0.18/0.45 r0(b) ),
% 0.18/0.45 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.18/0.45 fof(f14,axiom,(
% 0.18/0.45 (![X]: (p0(b,X) ))),
% 0.18/0.45 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.18/0.45 fof(f16,axiom,(
% 0.18/0.45 m0(c,b,a) ),
% 0.18/0.45 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.18/0.45 fof(f17,axiom,(
% 0.18/0.45 (![X]: (q0(X,d) ))),
% 0.18/0.45 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.18/0.45 fof(f19,axiom,(
% 0.18/0.45 (![X,Y]: (m0(X,d,Y) ))),
% 0.18/0.45 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.18/0.45 fof(f24,axiom,(
% 0.18/0.45 l0(c) ),
% 0.18/0.45 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.18/0.45 fof(f26,axiom,(
% 0.18/0.45 n0(d,c) ),
% 0.18/0.45 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.18/0.45 fof(f28,axiom,(
% 0.18/0.45 k0(e) ),
% 0.18/0.45 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.18/0.45 fof(f30,axiom,(
% 0.18/0.45 n0(e,e) ),
% 0.18/0.45 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.18/0.45 fof(f34,axiom,(
% 0.18/0.45 n0(c,d) ),
% 0.18/0.45 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.18/0.45 fof(f37,axiom,(
% 0.18/0.45 n0(b,a) ),
% 0.18/0.45 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.18/0.45 fof(f39,axiom,(
% 0.18/0.45 (![I,J]: (( k1(I)| ~ n0(J,I) ) ))),
% 0.18/0.45 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.18/0.45 fof(f40,axiom,(
% 0.18/0.45 (![G,H]: (( l1(G,G)| ~ n0(H,G) ) ))),
% 0.18/0.45 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.18/0.45 fof(f42,axiom,(
% 0.18/0.45 (![A,B]: (( l1(A,A)| ~ k1(A)| ~ l0(B)| ~ l1(B,B) ) ))),
% 0.18/0.45 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.18/0.45 fof(f105,axiom,(
% 0.18/0.45 (![E,F]: (( p1(E,E,E)| ~ q0(F,E) ) ))),
% 0.18/0.45 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.18/0.45 fof(f145,axiom,(
% 0.18/0.45 (![A]: (( q1(e,A,A)| ~ m0(A,d,A)| ~ m0(e,d,A) ) ))),
% 0.18/0.45 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.18/0.45 fof(f155,axiom,(
% 0.18/0.45 ( q1(d,d,d)| ~ k0(e)| ~ s0(d) ) ),
% 0.18/0.45 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.18/0.45 fof(f158,axiom,(
% 0.18/0.45 ( q1(b,b,b)| ~ r0(b) ) ),
% 0.18/0.45 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.18/0.45 fof(f162,axiom,(
% 0.18/0.45 (![D,E]: (( r1(D)| ~ q0(D,E)| ~ s0(d)| ~ q1(d,E,d) ) ))),
% 0.18/0.45 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.18/0.45 fof(f163,axiom,(
% 0.18/0.45 (![I]: (( s1(I)| ~ p0(I,I) ) ))),
% 0.18/0.45 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.18/0.45 fof(f164,axiom,(
% 0.18/0.45 (![F,G,H]: (( s1(F)| ~ q0(F,G)| ~ s1(H) ) ))),
% 0.18/0.45 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.18/0.45 fof(f167,axiom,(
% 0.18/0.45 (![J,A]: (( k2(J,J)| ~ q1(A,J,J) ) ))),
% 0.18/0.45 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.18/0.45 fof(f171,axiom,(
% 0.18/0.45 (![J,A,B,C]: (( l2(J,J)| ~ p0(A,A)| ~ s1(B)| ~ m0(C,B,J) ) ))),
% 0.18/0.45 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.18/0.45 fof(f192,axiom,(
% 0.18/0.45 (![A]: (( p2(A,A,A)| ~ q1(A,A,A) ) ))),
% 0.18/0.45 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.18/0.45 fof(f203,axiom,(
% 0.18/0.45 (![I,J,A]: (( p2(I,I,I)| ~ q1(J,A,J)| ~ p2(J,J,A) ) ))),
% 0.18/0.45 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.18/0.45 fof(f224,axiom,(
% 0.18/0.45 (![G,H]: (( q2(G,G,H)| ~ l1(H,G) ) ))),
% 0.18/0.45 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.18/0.45 fof(f225,axiom,(
% 0.18/0.45 (![C,D,E,F]: (( q2(C,D,C)| ~ r1(D)| ~ m0(E,F,C)| ~ k0(D)| ~ q2(D,D,D) ) ))),
% 0.18/0.45 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.18/0.45 fof(f235,axiom,(
% 0.18/0.45 (![A,B]: (( k3(A,A,A)| ~ l2(B,b)| ~ k1(A) ) ))),
% 0.18/0.45 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.18/0.45 fof(f276,axiom,(
% 0.18/0.45 (![I]: (( m3(I,I,I)| ~ p2(I,I,I) ) ))),
% 0.18/0.45 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.18/0.45 fof(f333,axiom,(
% 0.18/0.45 (![B,C,D,E,F]: (( q4(B,C)| ~ k3(D,D,B)| ~ q2(E,C,B)| ~ m3(E,F,E) ) ))),
% 0.18/0.45 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.18/0.45 fof(f369,negated_conjecture,(
% 0.18/0.45 ~ q4(a,e) ),
% 0.18/0.45 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.18/0.45 fof(f370,plain,(
% 0.18/0.45 s0(d)),
% 0.18/0.45 inference(cnf_transformation,[status(esa)],[f1])).
% 0.18/0.45 fof(f378,plain,(
% 0.18/0.45 r0(b)),
% 0.18/0.45 inference(cnf_transformation,[status(esa)],[f9])).
% 0.18/0.45 fof(f383,plain,(
% 0.18/0.45 ![X0]: (p0(b,X0))),
% 0.18/0.45 inference(cnf_transformation,[status(esa)],[f14])).
% 0.18/0.45 fof(f385,plain,(
% 0.18/0.45 m0(c,b,a)),
% 0.18/0.45 inference(cnf_transformation,[status(esa)],[f16])).
% 0.18/0.45 fof(f386,plain,(
% 0.18/0.45 ![X0]: (q0(X0,d))),
% 0.18/0.45 inference(cnf_transformation,[status(esa)],[f17])).
% 0.18/0.45 fof(f388,plain,(
% 0.18/0.45 ![X0,X1]: (m0(X0,d,X1))),
% 0.18/0.45 inference(cnf_transformation,[status(esa)],[f19])).
% 0.18/0.45 fof(f393,plain,(
% 0.18/0.45 l0(c)),
% 0.18/0.45 inference(cnf_transformation,[status(esa)],[f24])).
% 0.18/0.45 fof(f395,plain,(
% 0.18/0.45 n0(d,c)),
% 0.18/0.45 inference(cnf_transformation,[status(esa)],[f26])).
% 0.18/0.45 fof(f397,plain,(
% 0.18/0.45 k0(e)),
% 0.18/0.45 inference(cnf_transformation,[status(esa)],[f28])).
% 0.18/0.45 fof(f399,plain,(
% 0.18/0.45 n0(e,e)),
% 0.18/0.45 inference(cnf_transformation,[status(esa)],[f30])).
% 0.18/0.45 fof(f403,plain,(
% 0.18/0.45 n0(c,d)),
% 0.18/0.45 inference(cnf_transformation,[status(esa)],[f34])).
% 0.18/0.45 fof(f406,plain,(
% 0.18/0.45 n0(b,a)),
% 0.18/0.45 inference(cnf_transformation,[status(esa)],[f37])).
% 0.18/0.45 fof(f408,plain,(
% 0.18/0.45 ![I]: (k1(I)|(![J]: ~n0(J,I)))),
% 0.18/0.45 inference(miniscoping,[status(esa)],[f39])).
% 0.18/0.45 fof(f409,plain,(
% 0.18/0.45 ![X0,X1]: (k1(X0)|~n0(X1,X0))),
% 0.18/0.45 inference(cnf_transformation,[status(esa)],[f408])).
% 0.18/0.45 fof(f410,plain,(
% 0.18/0.45 ![G]: (l1(G,G)|(![H]: ~n0(H,G)))),
% 0.18/0.45 inference(miniscoping,[status(esa)],[f40])).
% 0.18/0.45 fof(f411,plain,(
% 0.18/0.45 ![X0,X1]: (l1(X0,X0)|~n0(X1,X0))),
% 0.18/0.45 inference(cnf_transformation,[status(esa)],[f410])).
% 0.18/0.45 fof(f414,plain,(
% 0.18/0.45 ![B]: (((![A]: (l1(A,A)|~k1(A)))|~l0(B))|~l1(B,B))),
% 0.18/0.45 inference(miniscoping,[status(esa)],[f42])).
% 0.18/0.45 fof(f415,plain,(
% 0.18/0.45 ![X0,X1]: (l1(X0,X0)|~k1(X0)|~l0(X1)|~l1(X1,X1))),
% 0.18/0.45 inference(cnf_transformation,[status(esa)],[f414])).
% 0.18/0.45 fof(f515,plain,(
% 0.18/0.45 ![E]: (p1(E,E,E)|(![F]: ~q0(F,E)))),
% 0.18/0.45 inference(miniscoping,[status(esa)],[f105])).
% 0.18/0.45 fof(f516,plain,(
% 0.18/0.45 ![X0,X1]: (p1(X0,X0,X0)|~q0(X1,X0))),
% 0.18/0.45 inference(cnf_transformation,[status(esa)],[f515])).
% 0.18/0.45 fof(f578,plain,(
% 0.18/0.45 ![X0]: (q1(e,X0,X0)|~m0(X0,d,X0)|~m0(e,d,X0))),
% 0.18/0.45 inference(cnf_transformation,[status(esa)],[f145])).
% 0.18/0.45 fof(f594,plain,(
% 0.18/0.45 q1(d,d,d)|~k0(e)|~s0(d)),
% 0.18/0.45 inference(cnf_transformation,[status(esa)],[f155])).
% 0.18/0.45 fof(f599,plain,(
% 0.18/0.45 q1(b,b,b)|~r0(b)),
% 0.18/0.45 inference(cnf_transformation,[status(esa)],[f158])).
% 0.18/0.45 fof(f605,plain,(
% 0.18/0.45 ![E]: (((![D]: (r1(D)|~q0(D,E)))|~s0(d))|~q1(d,E,d))),
% 0.18/0.45 inference(miniscoping,[status(esa)],[f162])).
% 0.18/0.45 fof(f606,plain,(
% 0.18/0.45 ![X0,X1]: (r1(X0)|~q0(X0,X1)|~s0(d)|~q1(d,X1,d))),
% 0.18/0.45 inference(cnf_transformation,[status(esa)],[f605])).
% 0.18/0.45 fof(f607,plain,(
% 0.18/0.45 ![X0]: (s1(X0)|~p0(X0,X0))),
% 0.18/0.45 inference(cnf_transformation,[status(esa)],[f163])).
% 0.18/0.45 fof(f608,plain,(
% 0.18/0.45 (![F]: (s1(F)|(![G]: ~q0(F,G))))|(![H]: ~s1(H))),
% 0.18/0.45 inference(miniscoping,[status(esa)],[f164])).
% 0.18/0.45 fof(f609,plain,(
% 0.18/0.45 ![X0,X1,X2]: (s1(X0)|~q0(X0,X1)|~s1(X2))),
% 0.18/0.45 inference(cnf_transformation,[status(esa)],[f608])).
% 0.18/0.45 fof(f613,plain,(
% 0.18/0.45 ![J]: (k2(J,J)|(![A]: ~q1(A,J,J)))),
% 0.18/0.45 inference(miniscoping,[status(esa)],[f167])).
% 0.18/0.45 fof(f614,plain,(
% 0.18/0.45 ![X0,X1]: (k2(X0,X0)|~q1(X1,X0,X0))),
% 0.18/0.45 inference(cnf_transformation,[status(esa)],[f613])).
% 0.18/0.45 fof(f619,plain,(
% 0.18/0.45 ![J,B]: (((l2(J,J)|(![A]: ~p0(A,A)))|~s1(B))|(![C]: ~m0(C,B,J)))),
% 0.18/0.45 inference(miniscoping,[status(esa)],[f171])).
% 0.18/0.45 fof(f620,plain,(
% 0.18/0.45 ![X0,X1,X2,X3]: (l2(X0,X0)|~p0(X1,X1)|~s1(X2)|~m0(X3,X2,X0))),
% 0.18/0.45 inference(cnf_transformation,[status(esa)],[f619])).
% 0.18/0.45 fof(f652,plain,(
% 0.18/0.45 ![X0]: (p2(X0,X0,X0)|~q1(X0,X0,X0))),
% 0.18/0.45 inference(cnf_transformation,[status(esa)],[f192])).
% 0.18/0.45 fof(f668,plain,(
% 0.18/0.45 ![J,A]: (((![I]: p2(I,I,I))|~q1(J,A,J))|~p2(J,J,A))),
% 0.18/0.45 inference(miniscoping,[status(esa)],[f203])).
% 0.18/0.45 fof(f669,plain,(
% 0.18/0.45 ![X0,X1,X2]: (p2(X0,X0,X0)|~q1(X1,X2,X1)|~p2(X1,X1,X2))),
% 0.18/0.45 inference(cnf_transformation,[status(esa)],[f668])).
% 0.18/0.45 fof(f699,plain,(
% 0.18/0.45 ![X0,X1]: (q2(X0,X0,X1)|~l1(X1,X0))),
% 0.18/0.45 inference(cnf_transformation,[status(esa)],[f224])).
% 0.18/0.45 fof(f700,plain,(
% 0.18/0.45 ![D]: (((![C]: ((q2(C,D,C)|~r1(D))|(![E,F]: ~m0(E,F,C))))|~k0(D))|~q2(D,D,D))),
% 0.18/0.45 inference(miniscoping,[status(esa)],[f225])).
% 0.18/0.45 fof(f701,plain,(
% 0.18/0.45 ![X0,X1,X2,X3]: (q2(X0,X1,X0)|~r1(X1)|~m0(X2,X3,X0)|~k0(X1)|~q2(X1,X1,X1))),
% 0.18/0.45 inference(cnf_transformation,[status(esa)],[f700])).
% 0.18/0.45 fof(f715,plain,(
% 0.18/0.45 ![A]: ((k3(A,A,A)|(![B]: ~l2(B,b)))|~k1(A))),
% 0.18/0.45 inference(miniscoping,[status(esa)],[f235])).
% 0.18/0.45 fof(f716,plain,(
% 0.18/0.45 ![X0,X1]: (k3(X0,X0,X0)|~l2(X1,b)|~k1(X0))),
% 0.18/0.45 inference(cnf_transformation,[status(esa)],[f715])).
% 0.18/0.45 fof(f776,plain,(
% 0.18/0.45 ![X0]: (m3(X0,X0,X0)|~p2(X0,X0,X0))),
% 0.18/0.45 inference(cnf_transformation,[status(esa)],[f276])).
% 0.18/0.45 fof(f866,plain,(
% 0.18/0.45 ![E]: ((![B,C]: ((q4(B,C)|(![D]: ~k3(D,D,B)))|~q2(E,C,B)))|(![F]: ~m3(E,F,E)))),
% 0.18/0.45 inference(miniscoping,[status(esa)],[f333])).
% 0.18/0.45 fof(f867,plain,(
% 0.18/0.45 ![X0,X1,X2,X3,X4]: (q4(X0,X1)|~k3(X2,X2,X0)|~q2(X3,X1,X0)|~m3(X3,X4,X3))),
% 0.18/0.45 inference(cnf_transformation,[status(esa)],[f866])).
% 0.18/0.45 fof(f924,plain,(
% 0.18/0.45 ~q4(a,e)),
% 0.18/0.45 inference(cnf_transformation,[status(esa)],[f369])).
% 0.18/0.45 fof(f932,plain,(
% 0.18/0.45 spl0_2 <=> l1(X0,X0)|~k1(X0)),
% 0.18/0.45 introduced(split_symbol_definition)).
% 0.18/0.45 fof(f933,plain,(
% 0.18/0.45 ![X0]: (l1(X0,X0)|~k1(X0)|~spl0_2)),
% 0.18/0.45 inference(component_clause,[status(thm)],[f932])).
% 0.18/0.45 fof(f935,plain,(
% 0.18/0.45 spl0_3 <=> ~l0(X1)|~l1(X1,X1)),
% 0.18/0.45 introduced(split_symbol_definition)).
% 0.18/0.45 fof(f936,plain,(
% 0.18/0.45 ![X0]: (~l0(X0)|~l1(X0,X0)|~spl0_3)),
% 0.18/0.45 inference(component_clause,[status(thm)],[f935])).
% 0.18/0.45 fof(f938,plain,(
% 0.18/0.45 spl0_2|spl0_3),
% 0.18/0.45 inference(split_clause,[status(thm)],[f415,f932,f935])).
% 0.18/0.45 fof(f956,plain,(
% 0.18/0.45 spl0_9 <=> l1(c,c)),
% 0.18/0.45 introduced(split_symbol_definition)).
% 0.18/0.45 fof(f958,plain,(
% 0.18/0.45 ~l1(c,c)|spl0_9),
% 0.18/0.45 inference(component_clause,[status(thm)],[f956])).
% 0.18/0.45 fof(f987,plain,(
% 0.18/0.45 spl0_18 <=> s0(d)),
% 0.18/0.45 introduced(split_symbol_definition)).
% 0.18/0.45 fof(f989,plain,(
% 0.18/0.45 ~s0(d)|spl0_18),
% 0.18/0.45 inference(component_clause,[status(thm)],[f987])).
% 0.18/0.45 fof(f994,plain,(
% 0.18/0.45 spl0_20 <=> l0(c)),
% 0.18/0.45 introduced(split_symbol_definition)).
% 0.18/0.45 fof(f995,plain,(
% 0.18/0.45 l0(c)|~spl0_20),
% 0.18/0.45 inference(component_clause,[status(thm)],[f994])).
% 0.18/0.45 fof(f996,plain,(
% 0.18/0.45 ~l0(c)|spl0_20),
% 0.18/0.45 inference(component_clause,[status(thm)],[f994])).
% 0.18/0.45 fof(f1037,plain,(
% 0.18/0.45 spl0_32 <=> k0(e)),
% 0.18/0.45 introduced(split_symbol_definition)).
% 0.18/0.45 fof(f1039,plain,(
% 0.18/0.45 ~k0(e)|spl0_32),
% 0.18/0.45 inference(component_clause,[status(thm)],[f1037])).
% 0.18/0.45 fof(f1044,plain,(
% 0.18/0.45 spl0_34 <=> k1(a)),
% 0.18/0.45 introduced(split_symbol_definition)).
% 0.18/0.45 fof(f1046,plain,(
% 0.18/0.45 ~k1(a)|spl0_34),
% 0.18/0.45 inference(component_clause,[status(thm)],[f1044])).
% 0.18/0.45 fof(f1100,plain,(
% 0.18/0.45 spl0_50 <=> r0(b)),
% 0.18/0.45 introduced(split_symbol_definition)).
% 0.18/0.45 fof(f1102,plain,(
% 0.18/0.45 ~r0(b)|spl0_50),
% 0.18/0.45 inference(component_clause,[status(thm)],[f1100])).
% 0.18/0.45 fof(f1258,plain,(
% 0.18/0.45 spl0_94 <=> ~p0(X2,X2)),
% 0.18/0.45 introduced(split_symbol_definition)).
% 0.18/0.45 fof(f1259,plain,(
% 0.18/0.45 ![X0]: (~p0(X0,X0)|~spl0_94)),
% 0.18/0.45 inference(component_clause,[status(thm)],[f1258])).
% 0.18/0.45 fof(f1280,plain,(
% 0.18/0.45 spl0_100 <=> q1(b,b,b)),
% 0.18/0.45 introduced(split_symbol_definition)).
% 0.18/0.45 fof(f1281,plain,(
% 0.18/0.45 q1(b,b,b)|~spl0_100),
% 0.18/0.45 inference(component_clause,[status(thm)],[f1280])).
% 0.18/0.45 fof(f1284,plain,(
% 0.18/0.45 spl0_101 <=> q1(d,d,d)),
% 0.18/0.45 introduced(split_symbol_definition)).
% 0.18/0.45 fof(f1285,plain,(
% 0.18/0.45 q1(d,d,d)|~spl0_101),
% 0.18/0.45 inference(component_clause,[status(thm)],[f1284])).
% 0.18/0.45 fof(f1287,plain,(
% 0.18/0.45 spl0_101|~spl0_32|~spl0_18),
% 0.18/0.45 inference(split_clause,[status(thm)],[f594,f1284,f1037,f987])).
% 0.18/0.45 fof(f1299,plain,(
% 0.18/0.45 spl0_100|~spl0_50),
% 0.18/0.45 inference(split_clause,[status(thm)],[f599,f1280,f1100])).
% 0.18/0.45 fof(f1300,plain,(
% 0.18/0.45 spl0_105 <=> r1(X0)|~q0(X0,X1)|~q1(d,X1,d)),
% 0.18/0.45 introduced(split_symbol_definition)).
% 0.18/0.45 fof(f1301,plain,(
% 0.18/0.45 ![X0,X1]: (r1(X0)|~q0(X0,X1)|~q1(d,X1,d)|~spl0_105)),
% 0.18/0.45 inference(component_clause,[status(thm)],[f1300])).
% 0.18/0.45 fof(f1303,plain,(
% 0.18/0.45 spl0_105|~spl0_18),
% 0.18/0.45 inference(split_clause,[status(thm)],[f606,f1300,f987])).
% 0.18/0.45 fof(f1304,plain,(
% 0.18/0.45 spl0_106 <=> s1(X0)|~q0(X0,X1)),
% 0.18/0.45 introduced(split_symbol_definition)).
% 0.18/0.45 fof(f1305,plain,(
% 0.18/0.45 ![X0,X1]: (s1(X0)|~q0(X0,X1)|~spl0_106)),
% 0.18/0.45 inference(component_clause,[status(thm)],[f1304])).
% 0.18/0.45 fof(f1307,plain,(
% 0.18/0.45 spl0_107 <=> ~s1(X2)),
% 0.18/0.45 introduced(split_symbol_definition)).
% 0.18/0.45 fof(f1308,plain,(
% 0.18/0.45 ![X0]: (~s1(X0)|~spl0_107)),
% 0.18/0.45 inference(component_clause,[status(thm)],[f1307])).
% 0.18/0.45 fof(f1310,plain,(
% 0.18/0.45 spl0_106|spl0_107),
% 0.18/0.45 inference(split_clause,[status(thm)],[f609,f1304,f1307])).
% 0.18/0.45 fof(f1314,plain,(
% 0.18/0.45 spl0_109 <=> l1(e,e)),
% 0.18/0.45 introduced(split_symbol_definition)).
% 0.18/0.45 fof(f1316,plain,(
% 0.18/0.45 ~l1(e,e)|spl0_109),
% 0.18/0.45 inference(component_clause,[status(thm)],[f1314])).
% 0.18/0.45 fof(f1322,plain,(
% 0.18/0.45 spl0_111 <=> l2(X0,X0)|~s1(X2)|~m0(X3,X2,X0)),
% 0.18/0.45 introduced(split_symbol_definition)).
% 0.18/0.45 fof(f1323,plain,(
% 0.18/0.45 ![X0,X1,X2]: (l2(X0,X0)|~s1(X1)|~m0(X2,X1,X0)|~spl0_111)),
% 0.18/0.45 inference(component_clause,[status(thm)],[f1322])).
% 0.18/0.45 fof(f1325,plain,(
% 0.18/0.45 spl0_111|spl0_94),
% 0.18/0.45 inference(split_clause,[status(thm)],[f620,f1322,f1258])).
% 0.18/0.45 fof(f1346,plain,(
% 0.18/0.45 spl0_118 <=> k1(c)),
% 0.18/0.45 introduced(split_symbol_definition)).
% 0.18/0.45 fof(f1348,plain,(
% 0.18/0.45 ~k1(c)|spl0_118),
% 0.18/0.45 inference(component_clause,[status(thm)],[f1346])).
% 0.18/0.45 fof(f1421,plain,(
% 0.18/0.45 spl0_140 <=> k1(d)),
% 0.18/0.45 introduced(split_symbol_definition)).
% 0.18/0.45 fof(f1423,plain,(
% 0.18/0.45 ~k1(d)|spl0_140),
% 0.18/0.45 inference(component_clause,[status(thm)],[f1421])).
% 0.18/0.45 fof(f1464,plain,(
% 0.18/0.45 spl0_152 <=> p2(X0,X0,X0)),
% 0.18/0.45 introduced(split_symbol_definition)).
% 0.18/0.45 fof(f1465,plain,(
% 0.18/0.45 ![X0]: (p2(X0,X0,X0)|~spl0_152)),
% 0.18/0.45 inference(component_clause,[status(thm)],[f1464])).
% 0.18/0.45 fof(f1467,plain,(
% 0.18/0.45 spl0_153 <=> ~q1(X1,X2,X1)|~p2(X1,X1,X2)),
% 0.18/0.45 introduced(split_symbol_definition)).
% 0.18/0.45 fof(f1468,plain,(
% 0.18/0.45 ![X0,X1]: (~q1(X0,X1,X0)|~p2(X0,X0,X1)|~spl0_153)),
% 0.18/0.45 inference(component_clause,[status(thm)],[f1467])).
% 0.18/0.45 fof(f1470,plain,(
% 0.18/0.45 spl0_152|spl0_153),
% 0.18/0.45 inference(split_clause,[status(thm)],[f669,f1464,f1467])).
% 0.18/0.45 fof(f1477,plain,(
% 0.18/0.45 spl0_156 <=> r1(e)),
% 0.18/0.45 introduced(split_symbol_definition)).
% 0.18/0.45 fof(f1478,plain,(
% 0.18/0.45 r1(e)|~spl0_156),
% 0.18/0.45 inference(component_clause,[status(thm)],[f1477])).
% 0.18/0.45 fof(f1479,plain,(
% 0.18/0.45 ~r1(e)|spl0_156),
% 0.18/0.45 inference(component_clause,[status(thm)],[f1477])).
% 0.18/0.45 fof(f1575,plain,(
% 0.18/0.45 spl0_184 <=> k3(X0,X0,X0)|~k1(X0)),
% 0.18/0.45 introduced(split_symbol_definition)).
% 0.18/0.45 fof(f1576,plain,(
% 0.18/0.45 ![X0]: (k3(X0,X0,X0)|~k1(X0)|~spl0_184)),
% 0.18/0.45 inference(component_clause,[status(thm)],[f1575])).
% 0.18/0.45 fof(f1578,plain,(
% 0.18/0.45 spl0_185 <=> ~l2(X1,b)),
% 0.18/0.45 introduced(split_symbol_definition)).
% 0.18/0.45 fof(f1579,plain,(
% 0.18/0.45 ![X0]: (~l2(X0,b)|~spl0_185)),
% 0.18/0.45 inference(component_clause,[status(thm)],[f1578])).
% 0.18/0.45 fof(f1581,plain,(
% 0.18/0.45 spl0_184|spl0_185),
% 0.18/0.45 inference(split_clause,[status(thm)],[f716,f1575,f1578])).
% 0.18/0.45 fof(f1787,plain,(
% 0.18/0.45 spl0_244 <=> k2(a,a)),
% 0.18/0.45 introduced(split_symbol_definition)).
% 0.18/0.45 fof(f1789,plain,(
% 0.18/0.45 ~k2(a,a)|spl0_244),
% 0.18/0.45 inference(component_clause,[status(thm)],[f1787])).
% 0.18/0.45 fof(f1993,plain,(
% 0.18/0.45 ![X0]: (q1(e,X0,X0)|~m0(e,d,X0))),
% 0.18/0.45 inference(forward_subsumption_resolution,[status(thm)],[f578,f388])).
% 0.18/0.45 fof(f2013,plain,(
% 0.18/0.45 $false|spl0_50),
% 0.18/0.45 inference(forward_subsumption_resolution,[status(thm)],[f1102,f378])).
% 0.18/0.45 fof(f2014,plain,(
% 0.18/0.45 spl0_50),
% 0.18/0.45 inference(contradiction_clause,[status(thm)],[f2013])).
% 0.18/0.45 fof(f2017,plain,(
% 0.18/0.45 $false|spl0_20),
% 0.18/0.45 inference(forward_subsumption_resolution,[status(thm)],[f996,f393])).
% 0.18/0.45 fof(f2018,plain,(
% 0.18/0.45 spl0_20),
% 0.18/0.45 inference(contradiction_clause,[status(thm)],[f2017])).
% 0.18/0.45 fof(f2019,plain,(
% 0.18/0.45 $false|spl0_18),
% 0.18/0.45 inference(forward_subsumption_resolution,[status(thm)],[f989,f370])).
% 0.18/0.45 fof(f2020,plain,(
% 0.18/0.45 spl0_18),
% 0.18/0.45 inference(contradiction_clause,[status(thm)],[f2019])).
% 0.18/0.45 fof(f2030,plain,(
% 0.18/0.45 $false|spl0_32),
% 0.18/0.45 inference(forward_subsumption_resolution,[status(thm)],[f1039,f397])).
% 0.18/0.45 fof(f2031,plain,(
% 0.18/0.45 spl0_32),
% 0.18/0.45 inference(contradiction_clause,[status(thm)],[f2030])).
% 0.18/0.45 fof(f2043,plain,(
% 0.18/0.45 ![X0]: (m3(X0,X0,X0)|~spl0_152)),
% 0.18/0.45 inference(backward_subsumption_resolution,[status(thm)],[f776,f1465])).
% 0.18/0.45 fof(f2072,plain,(
% 0.18/0.45 ![X0]: (q1(e,X0,X0))),
% 0.18/0.45 inference(forward_subsumption_resolution,[status(thm)],[f1993,f388])).
% 0.18/0.45 fof(f2075,plain,(
% 0.18/0.45 $false|~spl0_94),
% 0.18/0.45 inference(resolution,[status(thm)],[f1259,f383])).
% 0.18/0.45 fof(f2076,plain,(
% 0.18/0.45 ~spl0_94),
% 0.18/0.45 inference(contradiction_clause,[status(thm)],[f2075])).
% 0.18/0.45 fof(f2077,plain,(
% 0.18/0.45 ![X0]: (~p0(X0,X0)|~spl0_107)),
% 0.18/0.45 inference(forward_subsumption_resolution,[status(thm)],[f607,f1308])).
% 0.18/0.45 fof(f2078,plain,(
% 0.18/0.45 $false|~spl0_107),
% 0.18/0.45 inference(resolution,[status(thm)],[f2077,f383])).
% 0.18/0.45 fof(f2079,plain,(
% 0.18/0.45 ~spl0_107),
% 0.18/0.45 inference(contradiction_clause,[status(thm)],[f2078])).
% 0.18/0.45 fof(f2087,plain,(
% 0.18/0.45 k1(e)),
% 0.18/0.45 inference(resolution,[status(thm)],[f409,f399])).
% 0.18/0.45 fof(f2089,plain,(
% 0.18/0.45 k1(a)),
% 0.18/0.45 inference(resolution,[status(thm)],[f409,f406])).
% 0.18/0.45 fof(f2090,plain,(
% 0.18/0.45 $false|spl0_34),
% 0.18/0.45 inference(forward_subsumption_resolution,[status(thm)],[f2089,f1046])).
% 0.18/0.45 fof(f2091,plain,(
% 0.18/0.45 spl0_34),
% 0.18/0.45 inference(contradiction_clause,[status(thm)],[f2090])).
% 0.18/0.45 fof(f2092,plain,(
% 0.18/0.45 l1(e,e)|~spl0_2),
% 0.18/0.45 inference(resolution,[status(thm)],[f2087,f933])).
% 0.18/0.45 fof(f2093,plain,(
% 0.18/0.45 $false|spl0_109|~spl0_2),
% 0.18/0.45 inference(forward_subsumption_resolution,[status(thm)],[f2092,f1316])).
% 0.18/0.45 fof(f2094,plain,(
% 0.18/0.45 spl0_109|~spl0_2),
% 0.18/0.45 inference(contradiction_clause,[status(thm)],[f2093])).
% 0.18/0.45 fof(f2106,plain,(
% 0.18/0.45 ![X0]: (~q1(X0,X0,X0)|~spl0_153)),
% 0.18/0.45 inference(forward_subsumption_resolution,[status(thm)],[f652,f1468])).
% 0.18/0.45 fof(f2107,plain,(
% 0.18/0.45 $false|~spl0_153|~spl0_100),
% 0.18/0.45 inference(backward_subsumption_resolution,[status(thm)],[f1281,f2106])).
% 0.18/0.45 fof(f2108,plain,(
% 0.18/0.45 ~spl0_153|~spl0_100),
% 0.18/0.45 inference(contradiction_clause,[status(thm)],[f2107])).
% 0.18/0.45 fof(f2195,plain,(
% 0.18/0.45 spl0_309 <=> ~k3(X0,X0,a)),
% 0.18/0.45 introduced(split_symbol_definition)).
% 0.18/0.45 fof(f2196,plain,(
% 0.18/0.45 ![X0]: (~k3(X0,X0,a)|~spl0_309)),
% 0.18/0.45 inference(component_clause,[status(thm)],[f2195])).
% 0.18/0.45 fof(f2258,plain,(
% 0.18/0.45 ~k1(a)|~spl0_309|~spl0_184),
% 0.18/0.45 inference(resolution,[status(thm)],[f2196,f1576])).
% 0.18/0.45 fof(f2259,plain,(
% 0.18/0.45 ~spl0_34|~spl0_309|~spl0_184),
% 0.18/0.45 inference(split_clause,[status(thm)],[f2258,f1044,f2195,f1575])).
% 0.18/0.45 fof(f2303,plain,(
% 0.18/0.45 ![X0]: (s1(X0)|~spl0_106)),
% 0.18/0.45 inference(resolution,[status(thm)],[f386,f1305])).
% 0.18/0.45 fof(f2309,plain,(
% 0.18/0.45 ![X0,X1,X2]: (l2(X0,X0)|~m0(X1,X2,X0)|~spl0_106|~spl0_111)),
% 0.18/0.45 inference(backward_subsumption_resolution,[status(thm)],[f1323,f2303])).
% 0.18/0.45 fof(f2316,plain,(
% 0.18/0.45 ![X0,X1,X2,X3]: (q4(X0,X1)|~k3(X2,X2,X0)|~q2(X3,X1,X0)|~spl0_152)),
% 0.18/0.45 inference(resolution,[status(thm)],[f2043,f867])).
% 0.18/0.45 fof(f2317,plain,(
% 0.18/0.45 spl0_318 <=> ~q2(X1,e,a)),
% 0.18/0.45 introduced(split_symbol_definition)).
% 0.18/0.45 fof(f2318,plain,(
% 0.18/0.45 ![X0]: (~q2(X0,e,a)|~spl0_318)),
% 0.18/0.45 inference(component_clause,[status(thm)],[f2317])).
% 0.18/0.45 fof(f2320,plain,(
% 0.18/0.45 ![X0,X1]: (~k3(X0,X0,a)|~q2(X1,e,a)|~spl0_152)),
% 0.18/0.45 inference(resolution,[status(thm)],[f2316,f924])).
% 0.18/0.45 fof(f2321,plain,(
% 0.18/0.45 spl0_309|spl0_318|~spl0_152),
% 0.18/0.45 inference(split_clause,[status(thm)],[f2320,f2195,f2317,f1464])).
% 0.18/0.45 fof(f2334,plain,(
% 0.18/0.45 ![X0]: (~n0(X0,c)|spl0_9)),
% 0.18/0.45 inference(resolution,[status(thm)],[f958,f411])).
% 0.18/0.45 fof(f2335,plain,(
% 0.18/0.45 $false|spl0_9),
% 0.18/0.45 inference(backward_subsumption_resolution,[status(thm)],[f395,f2334])).
% 0.18/0.45 fof(f2336,plain,(
% 0.18/0.45 spl0_9),
% 0.18/0.45 inference(contradiction_clause,[status(thm)],[f2335])).
% 0.18/0.45 fof(f2337,plain,(
% 0.18/0.45 ~l1(c,c)|~spl0_20|~spl0_3),
% 0.18/0.45 inference(resolution,[status(thm)],[f995,f936])).
% 0.18/0.45 fof(f2338,plain,(
% 0.18/0.45 ~spl0_9|~spl0_20|~spl0_3),
% 0.18/0.45 inference(split_clause,[status(thm)],[f2337,f956,f994,f935])).
% 0.18/0.45 fof(f2350,plain,(
% 0.18/0.45 k1(d)),
% 0.18/0.45 inference(resolution,[status(thm)],[f403,f409])).
% 0.18/0.45 fof(f2351,plain,(
% 0.18/0.45 $false|spl0_140),
% 0.18/0.45 inference(forward_subsumption_resolution,[status(thm)],[f2350,f1423])).
% 0.18/0.45 fof(f2352,plain,(
% 0.18/0.45 spl0_140),
% 0.18/0.45 inference(contradiction_clause,[status(thm)],[f2351])).
% 0.18/0.45 fof(f2354,plain,(
% 0.18/0.45 k1(c)),
% 0.18/0.45 inference(resolution,[status(thm)],[f395,f409])).
% 0.18/0.45 fof(f2355,plain,(
% 0.18/0.45 $false|spl0_118),
% 0.18/0.45 inference(forward_subsumption_resolution,[status(thm)],[f2354,f1348])).
% 0.18/0.45 fof(f2356,plain,(
% 0.18/0.45 spl0_118),
% 0.18/0.45 inference(contradiction_clause,[status(thm)],[f2355])).
% 0.18/0.45 fof(f2379,plain,(
% 0.18/0.45 ![X0]: (~q1(X0,a,a)|spl0_244)),
% 0.18/0.45 inference(resolution,[status(thm)],[f614,f1789])).
% 0.18/0.45 fof(f2381,plain,(
% 0.18/0.45 $false|spl0_244),
% 0.18/0.45 inference(resolution,[status(thm)],[f2379,f2072])).
% 0.18/0.45 fof(f2382,plain,(
% 0.18/0.45 spl0_244),
% 0.18/0.45 inference(contradiction_clause,[status(thm)],[f2381])).
% 0.18/0.45 fof(f2385,plain,(
% 0.18/0.45 ![X0,X1]: (~m0(X0,X1,b)|~spl0_106|~spl0_111|~spl0_185)),
% 0.18/0.45 inference(resolution,[status(thm)],[f2309,f1579])).
% 0.18/0.45 fof(f2391,plain,(
% 0.18/0.45 $false|~spl0_106|~spl0_111|~spl0_185),
% 0.18/0.45 inference(resolution,[status(thm)],[f2385,f388])).
% 0.18/0.45 fof(f2392,plain,(
% 0.18/0.45 ~spl0_106|~spl0_111|~spl0_185),
% 0.18/0.45 inference(contradiction_clause,[status(thm)],[f2391])).
% 0.18/0.45 fof(f2423,plain,(
% 0.18/0.45 spl0_325 <=> p1(d,d,d)),
% 0.18/0.45 introduced(split_symbol_definition)).
% 0.18/0.45 fof(f2425,plain,(
% 0.18/0.45 ~p1(d,d,d)|spl0_325),
% 0.18/0.45 inference(component_clause,[status(thm)],[f2423])).
% 0.18/0.45 fof(f2437,plain,(
% 0.18/0.45 ![X0]: (~q0(X0,d)|spl0_325)),
% 0.18/0.45 inference(resolution,[status(thm)],[f2425,f516])).
% 0.18/0.45 fof(f2438,plain,(
% 0.18/0.45 $false|spl0_325),
% 0.18/0.45 inference(forward_subsumption_resolution,[status(thm)],[f2437,f386])).
% 0.18/0.45 fof(f2439,plain,(
% 0.18/0.45 spl0_325),
% 0.18/0.45 inference(contradiction_clause,[status(thm)],[f2438])).
% 0.18/0.45 fof(f2471,plain,(
% 0.18/0.45 ![X0]: (~q0(e,X0)|~q1(d,X0,d)|~spl0_105|spl0_156)),
% 0.18/0.45 inference(resolution,[status(thm)],[f1301,f1479])).
% 0.18/0.45 fof(f2476,plain,(
% 0.18/0.45 ~q1(d,d,d)|~spl0_105|spl0_156),
% 0.18/0.45 inference(resolution,[status(thm)],[f2471,f386])).
% 0.18/0.45 fof(f2477,plain,(
% 0.18/0.46 $false|~spl0_101|~spl0_105|spl0_156),
% 0.18/0.46 inference(forward_subsumption_resolution,[status(thm)],[f2476,f1285])).
% 0.18/0.46 fof(f2478,plain,(
% 0.18/0.46 ~spl0_101|~spl0_105|spl0_156),
% 0.18/0.46 inference(contradiction_clause,[status(thm)],[f2477])).
% 0.18/0.46 fof(f2482,plain,(
% 0.18/0.46 spl0_330 <=> q2(X0,e,X0)|~m0(X1,X2,X0)),
% 0.18/0.46 introduced(split_symbol_definition)).
% 0.18/0.46 fof(f2483,plain,(
% 0.18/0.46 ![X0,X1,X2]: (q2(X0,e,X0)|~m0(X1,X2,X0)|~spl0_330)),
% 0.18/0.46 inference(component_clause,[status(thm)],[f2482])).
% 0.18/0.46 fof(f2485,plain,(
% 0.18/0.46 spl0_331 <=> q2(e,e,e)),
% 0.18/0.46 introduced(split_symbol_definition)).
% 0.18/0.46 fof(f2487,plain,(
% 0.18/0.46 ~q2(e,e,e)|spl0_331),
% 0.18/0.46 inference(component_clause,[status(thm)],[f2485])).
% 0.18/0.46 fof(f2488,plain,(
% 0.18/0.46 ![X0,X1,X2]: (q2(X0,e,X0)|~m0(X1,X2,X0)|~k0(e)|~q2(e,e,e)|~spl0_156)),
% 0.18/0.46 inference(resolution,[status(thm)],[f1478,f701])).
% 0.18/0.46 fof(f2489,plain,(
% 0.18/0.46 spl0_330|~spl0_32|~spl0_331|~spl0_156),
% 0.18/0.46 inference(split_clause,[status(thm)],[f2488,f2482,f1037,f2485,f1477])).
% 0.18/0.46 fof(f2491,plain,(
% 0.18/0.46 ~l1(e,e)|spl0_331),
% 0.18/0.46 inference(resolution,[status(thm)],[f2487,f699])).
% 0.18/0.46 fof(f2492,plain,(
% 0.18/0.46 ~spl0_109|spl0_331),
% 0.18/0.46 inference(split_clause,[status(thm)],[f2491,f1314,f2485])).
% 0.18/0.46 fof(f2499,plain,(
% 0.18/0.46 ![X0,X1]: (~m0(X0,X1,a)|~spl0_330|~spl0_318)),
% 0.18/0.46 inference(resolution,[status(thm)],[f2483,f2318])).
% 0.18/0.46 fof(f2500,plain,(
% 0.18/0.46 $false|~spl0_330|~spl0_318),
% 0.18/0.46 inference(backward_subsumption_resolution,[status(thm)],[f385,f2499])).
% 0.18/0.46 fof(f2501,plain,(
% 0.18/0.46 ~spl0_330|~spl0_318),
% 0.18/0.46 inference(contradiction_clause,[status(thm)],[f2500])).
% 0.18/0.46 fof(f2502,plain,(
% 0.18/0.46 $false),
% 0.18/0.46 inference(sat_refutation,[status(thm)],[f938,f1287,f1299,f1303,f1310,f1325,f1470,f1581,f2014,f2018,f2020,f2031,f2076,f2079,f2091,f2094,f2108,f2259,f2321,f2336,f2338,f2352,f2356,f2382,f2392,f2439,f2478,f2489,f2492,f2501])).
% 0.18/0.46 % SZS output end CNFRefutation for theBenchmark.p
% 0.18/0.47 % Elapsed time: 0.135133 seconds
% 0.18/0.47 % CPU time: 0.883752 seconds
% 0.18/0.47 % Memory used: 50.044 MB
%------------------------------------------------------------------------------