TSTP Solution File: SYN252-1 by Drodi---3.6.0

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Drodi---3.6.0
% Problem  : SYN252-1 : TPTP v8.1.2. Released v1.1.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : drodi -learnfrom(drodi.lrn) -timeout(%d) %s

% Computer : n010.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 20:51:41 EDT 2024

% Result   : Unsatisfiable 0.13s 0.60s
% Output   : CNFRefutation 0.13s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.09  % Problem  : SYN252-1 : TPTP v8.1.2. Released v1.1.0.
% 0.00/0.09  % Command  : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.09/0.29  % Computer : n010.cluster.edu
% 0.09/0.29  % Model    : x86_64 x86_64
% 0.09/0.29  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.29  % Memory   : 8042.1875MB
% 0.09/0.29  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.09/0.29  % CPULimit : 300
% 0.09/0.29  % WCLimit  : 300
% 0.09/0.29  % DateTime : Mon Apr 29 21:54:50 EDT 2024
% 0.09/0.29  % CPUTime  : 
% 0.13/0.31  % Drodi V3.6.0
% 0.13/0.60  % Refutation found
% 0.13/0.60  % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.13/0.60  % SZS output start CNFRefutation for theBenchmark
% 0.13/0.60  fof(f5,axiom,(
% 0.13/0.60    s0(b) ),
% 0.13/0.60    file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.13/0.60  fof(f6,axiom,(
% 0.13/0.60    q0(b,b) ),
% 0.13/0.60    file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.13/0.60  fof(f14,axiom,(
% 0.13/0.60    (![X]: (p0(b,X) ))),
% 0.13/0.60    file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.13/0.60  fof(f19,axiom,(
% 0.13/0.60    (![X,Y]: (m0(X,d,Y) ))),
% 0.13/0.60    file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.13/0.60  fof(f20,axiom,(
% 0.13/0.60    l0(a) ),
% 0.13/0.60    file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.13/0.60  fof(f23,axiom,(
% 0.13/0.60    m0(a,e,e) ),
% 0.13/0.60    file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.13/0.60  fof(f24,axiom,(
% 0.13/0.60    l0(c) ),
% 0.13/0.60    file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.13/0.60  fof(f26,axiom,(
% 0.13/0.60    n0(d,c) ),
% 0.13/0.60    file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.13/0.60  fof(f29,axiom,(
% 0.13/0.60    q0(d,b) ),
% 0.13/0.60    file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.13/0.60  fof(f32,axiom,(
% 0.13/0.60    k0(b) ),
% 0.13/0.60    file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.13/0.60  fof(f36,axiom,(
% 0.13/0.60    q0(a,b) ),
% 0.13/0.60    file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.13/0.60  fof(f37,axiom,(
% 0.13/0.60    n0(b,a) ),
% 0.13/0.60    file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.13/0.60  fof(f39,axiom,(
% 0.13/0.60    (![I,J]: (( k1(I)| ~ n0(J,I) ) ))),
% 0.13/0.60    file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.13/0.60  fof(f40,axiom,(
% 0.13/0.60    (![G,H]: (( l1(G,G)| ~ n0(H,G) ) ))),
% 0.13/0.60    file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.13/0.60  fof(f42,axiom,(
% 0.13/0.60    (![A,B]: (( l1(A,A)| ~ k1(A)| ~ l0(B)| ~ l1(B,B) ) ))),
% 0.13/0.60    file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.13/0.60  fof(f43,axiom,(
% 0.13/0.60    (![B,C]: (( m1(B,C,B)| ~ m0(C,C,B) ) ))),
% 0.13/0.60    file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.13/0.60  fof(f88,axiom,(
% 0.13/0.60    (![D,E]: (( n1(D,E,D)| ~ s0(b)| ~ l0(D)| ~ p0(b,E) ) ))),
% 0.13/0.60    file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.13/0.60  fof(f92,axiom,(
% 0.13/0.60    (![E,F,G]: (( n1(E,F,F)| ~ l0(G)| ~ l1(G,E)| ~ n1(E,F,E) ) ))),
% 0.13/0.60    file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.13/0.60  fof(f107,axiom,(
% 0.13/0.60    (![B,C]: (( p1(B,B,C)| ~ p0(C,B) ) ))),
% 0.13/0.60    file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.13/0.60  fof(f113,axiom,(
% 0.13/0.60    ( p1(a,a,a)| ~ p0(b,a) ) ),
% 0.13/0.60    file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.13/0.60  fof(f163,axiom,(
% 0.13/0.60    (![I]: (( s1(I)| ~ p0(I,I) ) ))),
% 0.13/0.60    file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.13/0.60  fof(f164,axiom,(
% 0.13/0.60    (![F,G,H]: (( s1(F)| ~ q0(F,G)| ~ s1(H) ) ))),
% 0.13/0.60    file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.13/0.60  fof(f171,axiom,(
% 0.13/0.60    (![J,A,B,C]: (( l2(J,J)| ~ p0(A,A)| ~ s1(B)| ~ m0(C,B,J) ) ))),
% 0.13/0.60    file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.13/0.60  fof(f215,axiom,(
% 0.13/0.60    (![E,F]: (( q2(E,F,F)| ~ k0(F)| ~ p1(E,E,E) ) ))),
% 0.13/0.60    file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.13/0.60  fof(f219,axiom,(
% 0.13/0.60    (![I]: (( q2(I,I,I)| ~ p1(I,I,I) ) ))),
% 0.13/0.60    file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.13/0.60  fof(f220,axiom,(
% 0.13/0.60    (![F,G,H]: (( q2(F,G,F)| ~ p1(F,F,H)| ~ n1(G,F,H)| ~ q2(G,H,F) ) ))),
% 0.13/0.60    file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.13/0.60  fof(f227,axiom,(
% 0.13/0.60    (![H]: (( s2(H)| ~ q2(b,H,b)| ~ s1(b) ) ))),
% 0.13/0.60    file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.13/0.60  fof(f311,axiom,(
% 0.13/0.60    (![I,J,A,B]: (( s3(I,J)| ~ q2(A,I,A)| ~ s2(I)| ~ m0(A,B,J) ) ))),
% 0.13/0.60    file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.13/0.60  fof(f317,axiom,(
% 0.13/0.60    (![E,F,G]: (( m4(E,F)| ~ l2(G,F)| ~ s3(a,E) ) ))),
% 0.13/0.60    file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.13/0.60  fof(f369,negated_conjecture,(
% 0.13/0.60    (![X]: (~ m4(X,d) ))),
% 0.13/0.60    file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.13/0.60  fof(f374,plain,(
% 0.13/0.60    s0(b)),
% 0.13/0.60    inference(cnf_transformation,[status(esa)],[f5])).
% 0.13/0.60  fof(f375,plain,(
% 0.13/0.60    q0(b,b)),
% 0.13/0.60    inference(cnf_transformation,[status(esa)],[f6])).
% 0.13/0.60  fof(f383,plain,(
% 0.13/0.60    ![X0]: (p0(b,X0))),
% 0.13/0.60    inference(cnf_transformation,[status(esa)],[f14])).
% 0.13/0.60  fof(f388,plain,(
% 0.13/0.60    ![X0,X1]: (m0(X0,d,X1))),
% 0.13/0.60    inference(cnf_transformation,[status(esa)],[f19])).
% 0.13/0.60  fof(f389,plain,(
% 0.13/0.60    l0(a)),
% 0.13/0.60    inference(cnf_transformation,[status(esa)],[f20])).
% 0.13/0.60  fof(f392,plain,(
% 0.13/0.60    m0(a,e,e)),
% 0.13/0.60    inference(cnf_transformation,[status(esa)],[f23])).
% 0.13/0.60  fof(f393,plain,(
% 0.13/0.60    l0(c)),
% 0.13/0.60    inference(cnf_transformation,[status(esa)],[f24])).
% 0.13/0.60  fof(f395,plain,(
% 0.13/0.60    n0(d,c)),
% 0.13/0.60    inference(cnf_transformation,[status(esa)],[f26])).
% 0.13/0.60  fof(f398,plain,(
% 0.13/0.60    q0(d,b)),
% 0.13/0.60    inference(cnf_transformation,[status(esa)],[f29])).
% 0.13/0.60  fof(f401,plain,(
% 0.13/0.60    k0(b)),
% 0.13/0.60    inference(cnf_transformation,[status(esa)],[f32])).
% 0.13/0.60  fof(f405,plain,(
% 0.13/0.60    q0(a,b)),
% 0.13/0.60    inference(cnf_transformation,[status(esa)],[f36])).
% 0.13/0.60  fof(f406,plain,(
% 0.13/0.60    n0(b,a)),
% 0.13/0.60    inference(cnf_transformation,[status(esa)],[f37])).
% 0.13/0.60  fof(f408,plain,(
% 0.13/0.60    ![I]: (k1(I)|(![J]: ~n0(J,I)))),
% 0.13/0.60    inference(miniscoping,[status(esa)],[f39])).
% 0.13/0.60  fof(f409,plain,(
% 0.13/0.60    ![X0,X1]: (k1(X0)|~n0(X1,X0))),
% 0.13/0.60    inference(cnf_transformation,[status(esa)],[f408])).
% 0.13/0.60  fof(f410,plain,(
% 0.13/0.60    ![G]: (l1(G,G)|(![H]: ~n0(H,G)))),
% 0.13/0.60    inference(miniscoping,[status(esa)],[f40])).
% 0.13/0.60  fof(f411,plain,(
% 0.13/0.60    ![X0,X1]: (l1(X0,X0)|~n0(X1,X0))),
% 0.13/0.60    inference(cnf_transformation,[status(esa)],[f410])).
% 0.13/0.60  fof(f414,plain,(
% 0.13/0.60    ![B]: (((![A]: (l1(A,A)|~k1(A)))|~l0(B))|~l1(B,B))),
% 0.13/0.60    inference(miniscoping,[status(esa)],[f42])).
% 0.13/0.60  fof(f415,plain,(
% 0.13/0.60    ![X0,X1]: (l1(X0,X0)|~k1(X0)|~l0(X1)|~l1(X1,X1))),
% 0.13/0.60    inference(cnf_transformation,[status(esa)],[f414])).
% 0.13/0.60  fof(f416,plain,(
% 0.13/0.60    ![X0,X1]: (m1(X0,X1,X0)|~m0(X1,X1,X0))),
% 0.13/0.60    inference(cnf_transformation,[status(esa)],[f43])).
% 0.13/0.60  fof(f488,plain,(
% 0.13/0.60    ![E]: ((![D]: ((n1(D,E,D)|~s0(b))|~l0(D)))|~p0(b,E))),
% 0.13/0.60    inference(miniscoping,[status(esa)],[f88])).
% 0.13/0.60  fof(f489,plain,(
% 0.13/0.60    ![X0,X1]: (n1(X0,X1,X0)|~s0(b)|~l0(X0)|~p0(b,X1))),
% 0.13/0.60    inference(cnf_transformation,[status(esa)],[f488])).
% 0.13/0.60  fof(f495,plain,(
% 0.13/0.60    ![E,F]: ((![G]: ((n1(E,F,F)|~l0(G))|~l1(G,E)))|~n1(E,F,E))),
% 0.13/0.60    inference(miniscoping,[status(esa)],[f92])).
% 0.13/0.60  fof(f496,plain,(
% 0.13/0.60    ![X0,X1,X2]: (n1(X0,X1,X1)|~l0(X2)|~l1(X2,X0)|~n1(X0,X1,X0))),
% 0.13/0.60    inference(cnf_transformation,[status(esa)],[f495])).
% 0.13/0.60  fof(f518,plain,(
% 0.13/0.60    ![X0,X1]: (p1(X0,X0,X1)|~p0(X1,X0))),
% 0.13/0.60    inference(cnf_transformation,[status(esa)],[f107])).
% 0.13/0.60  fof(f528,plain,(
% 0.13/0.60    p1(a,a,a)|~p0(b,a)),
% 0.13/0.60    inference(cnf_transformation,[status(esa)],[f113])).
% 0.13/0.60  fof(f607,plain,(
% 0.13/0.60    ![X0]: (s1(X0)|~p0(X0,X0))),
% 0.13/0.60    inference(cnf_transformation,[status(esa)],[f163])).
% 0.13/0.60  fof(f608,plain,(
% 0.13/0.60    (![F]: (s1(F)|(![G]: ~q0(F,G))))|(![H]: ~s1(H))),
% 0.13/0.60    inference(miniscoping,[status(esa)],[f164])).
% 0.13/0.60  fof(f609,plain,(
% 0.13/0.60    ![X0,X1,X2]: (s1(X0)|~q0(X0,X1)|~s1(X2))),
% 0.13/0.60    inference(cnf_transformation,[status(esa)],[f608])).
% 0.13/0.60  fof(f619,plain,(
% 0.13/0.60    ![J,B]: (((l2(J,J)|(![A]: ~p0(A,A)))|~s1(B))|(![C]: ~m0(C,B,J)))),
% 0.13/0.60    inference(miniscoping,[status(esa)],[f171])).
% 0.13/0.60  fof(f620,plain,(
% 0.13/0.60    ![X0,X1,X2,X3]: (l2(X0,X0)|~p0(X1,X1)|~s1(X2)|~m0(X3,X2,X0))),
% 0.13/0.60    inference(cnf_transformation,[status(esa)],[f619])).
% 0.13/0.60  fof(f686,plain,(
% 0.13/0.60    ![E]: ((![F]: (q2(E,F,F)|~k0(F)))|~p1(E,E,E))),
% 0.13/0.60    inference(miniscoping,[status(esa)],[f215])).
% 0.13/0.60  fof(f687,plain,(
% 0.13/0.60    ![X0,X1]: (q2(X0,X1,X1)|~k0(X1)|~p1(X0,X0,X0))),
% 0.13/0.60    inference(cnf_transformation,[status(esa)],[f686])).
% 0.13/0.60  fof(f692,plain,(
% 0.13/0.60    ![X0]: (q2(X0,X0,X0)|~p1(X0,X0,X0))),
% 0.13/0.60    inference(cnf_transformation,[status(esa)],[f219])).
% 0.13/0.60  fof(f693,plain,(
% 0.13/0.60    ![X0,X1,X2]: (q2(X0,X1,X0)|~p1(X0,X0,X2)|~n1(X1,X0,X2)|~q2(X1,X2,X0))),
% 0.13/0.60    inference(cnf_transformation,[status(esa)],[f220])).
% 0.13/0.60  fof(f703,plain,(
% 0.13/0.60    (![H]: (s2(H)|~q2(b,H,b)))|~s1(b)),
% 0.13/0.60    inference(miniscoping,[status(esa)],[f227])).
% 0.13/0.60  fof(f704,plain,(
% 0.13/0.60    ![X0]: (s2(X0)|~q2(b,X0,b)|~s1(b))),
% 0.13/0.60    inference(cnf_transformation,[status(esa)],[f703])).
% 0.13/0.60  fof(f830,plain,(
% 0.13/0.60    ![J,A]: ((![I]: ((s3(I,J)|~q2(A,I,A))|~s2(I)))|(![B]: ~m0(A,B,J)))),
% 0.13/0.60    inference(miniscoping,[status(esa)],[f311])).
% 0.13/0.60  fof(f831,plain,(
% 0.13/0.60    ![X0,X1,X2,X3]: (s3(X0,X1)|~q2(X2,X0,X2)|~s2(X0)|~m0(X2,X3,X1))),
% 0.13/0.60    inference(cnf_transformation,[status(esa)],[f830])).
% 0.13/0.60  fof(f840,plain,(
% 0.13/0.60    ![E]: ((![F]: (m4(E,F)|(![G]: ~l2(G,F))))|~s3(a,E))),
% 0.13/0.60    inference(miniscoping,[status(esa)],[f317])).
% 0.13/0.60  fof(f841,plain,(
% 0.13/0.60    ![X0,X1,X2]: (m4(X0,X1)|~l2(X2,X1)|~s3(a,X0))),
% 0.13/0.60    inference(cnf_transformation,[status(esa)],[f840])).
% 0.13/0.60  fof(f924,plain,(
% 0.13/0.60    ![X0]: (~m4(X0,d))),
% 0.13/0.60    inference(cnf_transformation,[status(esa)],[f369])).
% 0.13/0.60  fof(f932,plain,(
% 0.13/0.60    spl0_2 <=> l1(X0,X0)|~k1(X0)),
% 0.13/0.60    introduced(split_symbol_definition)).
% 0.13/0.60  fof(f933,plain,(
% 0.13/0.60    ![X0]: (l1(X0,X0)|~k1(X0)|~spl0_2)),
% 0.13/0.60    inference(component_clause,[status(thm)],[f932])).
% 0.13/0.60  fof(f935,plain,(
% 0.13/0.60    spl0_3 <=> ~l0(X1)|~l1(X1,X1)),
% 0.13/0.60    introduced(split_symbol_definition)).
% 0.13/0.60  fof(f936,plain,(
% 0.13/0.60    ![X0]: (~l0(X0)|~l1(X0,X0)|~spl0_3)),
% 0.13/0.60    inference(component_clause,[status(thm)],[f935])).
% 0.13/0.60  fof(f938,plain,(
% 0.13/0.60    spl0_2|spl0_3),
% 0.13/0.60    inference(split_clause,[status(thm)],[f415,f932,f935])).
% 0.13/0.60  fof(f956,plain,(
% 0.13/0.60    spl0_9 <=> l1(c,c)),
% 0.13/0.60    introduced(split_symbol_definition)).
% 0.13/0.60  fof(f957,plain,(
% 0.13/0.60    l1(c,c)|~spl0_9),
% 0.13/0.60    inference(component_clause,[status(thm)],[f956])).
% 0.13/0.60  fof(f958,plain,(
% 0.13/0.60    ~l1(c,c)|spl0_9),
% 0.13/0.60    inference(component_clause,[status(thm)],[f956])).
% 0.13/0.60  fof(f994,plain,(
% 0.13/0.60    spl0_20 <=> l0(c)),
% 0.13/0.60    introduced(split_symbol_definition)).
% 0.13/0.60  fof(f996,plain,(
% 0.13/0.60    ~l0(c)|spl0_20),
% 0.13/0.60    inference(component_clause,[status(thm)],[f994])).
% 0.13/0.60  fof(f1044,plain,(
% 0.13/0.60    spl0_34 <=> k1(a)),
% 0.13/0.60    introduced(split_symbol_definition)).
% 0.13/0.60  fof(f1046,plain,(
% 0.13/0.60    ~k1(a)|spl0_34),
% 0.13/0.60    inference(component_clause,[status(thm)],[f1044])).
% 0.13/0.60  fof(f1051,plain,(
% 0.13/0.60    spl0_36 <=> s0(b)),
% 0.13/0.60    introduced(split_symbol_definition)).
% 0.13/0.60  fof(f1053,plain,(
% 0.13/0.60    ~s0(b)|spl0_36),
% 0.13/0.60    inference(component_clause,[status(thm)],[f1051])).
% 0.13/0.60  fof(f1073,plain,(
% 0.13/0.60    spl0_42 <=> n1(X0,X1,X0)|~l0(X0)|~p0(b,X1)),
% 0.13/0.60    introduced(split_symbol_definition)).
% 0.13/0.60  fof(f1074,plain,(
% 0.13/0.60    ![X0,X1]: (n1(X0,X1,X0)|~l0(X0)|~p0(b,X1)|~spl0_42)),
% 0.13/0.60    inference(component_clause,[status(thm)],[f1073])).
% 0.13/0.60  fof(f1076,plain,(
% 0.13/0.60    spl0_42|~spl0_36),
% 0.13/0.60    inference(split_clause,[status(thm)],[f489,f1073,f1051])).
% 0.13/0.60  fof(f1120,plain,(
% 0.13/0.60    spl0_56 <=> k0(b)),
% 0.13/0.60    introduced(split_symbol_definition)).
% 0.13/0.60  fof(f1122,plain,(
% 0.13/0.60    ~k0(b)|spl0_56),
% 0.13/0.60    inference(component_clause,[status(thm)],[f1120])).
% 0.13/0.60  fof(f1159,plain,(
% 0.13/0.60    spl0_67 <=> p1(a,a,a)),
% 0.13/0.60    introduced(split_symbol_definition)).
% 0.13/0.60  fof(f1162,plain,(
% 0.13/0.60    spl0_68 <=> p0(b,a)),
% 0.13/0.60    introduced(split_symbol_definition)).
% 0.13/0.60  fof(f1164,plain,(
% 0.13/0.60    ~p0(b,a)|spl0_68),
% 0.13/0.60    inference(component_clause,[status(thm)],[f1162])).
% 0.13/0.60  fof(f1165,plain,(
% 0.13/0.60    spl0_67|~spl0_68),
% 0.13/0.60    inference(split_clause,[status(thm)],[f528,f1159,f1162])).
% 0.13/0.60  fof(f1166,plain,(
% 0.13/0.60    spl0_69 <=> p1(b,b,b)),
% 0.13/0.60    introduced(split_symbol_definition)).
% 0.13/0.60  fof(f1168,plain,(
% 0.13/0.60    ~p1(b,b,b)|spl0_69),
% 0.13/0.60    inference(component_clause,[status(thm)],[f1166])).
% 0.13/0.60  fof(f1258,plain,(
% 0.13/0.60    spl0_94 <=> ~p0(X2,X2)),
% 0.13/0.60    introduced(split_symbol_definition)).
% 0.13/0.60  fof(f1259,plain,(
% 0.13/0.60    ![X0]: (~p0(X0,X0)|~spl0_94)),
% 0.13/0.60    inference(component_clause,[status(thm)],[f1258])).
% 0.13/0.60  fof(f1304,plain,(
% 0.13/0.60    spl0_106 <=> s1(X0)|~q0(X0,X1)),
% 0.13/0.60    introduced(split_symbol_definition)).
% 0.13/0.60  fof(f1305,plain,(
% 0.13/0.60    ![X0,X1]: (s1(X0)|~q0(X0,X1)|~spl0_106)),
% 0.13/0.60    inference(component_clause,[status(thm)],[f1304])).
% 0.13/0.60  fof(f1307,plain,(
% 0.13/0.60    spl0_107 <=> ~s1(X2)),
% 0.13/0.60    introduced(split_symbol_definition)).
% 0.13/0.60  fof(f1308,plain,(
% 0.13/0.60    ![X0]: (~s1(X0)|~spl0_107)),
% 0.13/0.60    inference(component_clause,[status(thm)],[f1307])).
% 0.13/0.60  fof(f1310,plain,(
% 0.13/0.60    spl0_106|spl0_107),
% 0.13/0.60    inference(split_clause,[status(thm)],[f609,f1304,f1307])).
% 0.13/0.60  fof(f1322,plain,(
% 0.13/0.60    spl0_111 <=> l2(X0,X0)|~s1(X2)|~m0(X3,X2,X0)),
% 0.13/0.60    introduced(split_symbol_definition)).
% 0.13/0.60  fof(f1323,plain,(
% 0.13/0.60    ![X0,X1,X2]: (l2(X0,X0)|~s1(X1)|~m0(X2,X1,X0)|~spl0_111)),
% 0.13/0.60    inference(component_clause,[status(thm)],[f1322])).
% 0.13/0.60  fof(f1325,plain,(
% 0.13/0.60    spl0_111|spl0_94),
% 0.13/0.60    inference(split_clause,[status(thm)],[f620,f1322,f1258])).
% 0.13/0.60  fof(f1540,plain,(
% 0.13/0.60    spl0_174 <=> s2(X0)|~q2(b,X0,b)),
% 0.13/0.60    introduced(split_symbol_definition)).
% 0.13/0.60  fof(f1541,plain,(
% 0.13/0.60    ![X0]: (s2(X0)|~q2(b,X0,b)|~spl0_174)),
% 0.13/0.60    inference(component_clause,[status(thm)],[f1540])).
% 0.13/0.60  fof(f1543,plain,(
% 0.13/0.60    spl0_175 <=> s1(b)),
% 0.13/0.60    introduced(split_symbol_definition)).
% 0.13/0.60  fof(f1545,plain,(
% 0.13/0.60    ~s1(b)|spl0_175),
% 0.13/0.60    inference(component_clause,[status(thm)],[f1543])).
% 0.13/0.60  fof(f1546,plain,(
% 0.13/0.60    spl0_174|~spl0_175),
% 0.13/0.60    inference(split_clause,[status(thm)],[f704,f1540,f1543])).
% 0.13/0.60  fof(f1554,plain,(
% 0.13/0.60    spl0_178 <=> s1(d)),
% 0.13/0.60    introduced(split_symbol_definition)).
% 0.13/0.60  fof(f1556,plain,(
% 0.13/0.60    ~s1(d)|spl0_178),
% 0.13/0.60    inference(component_clause,[status(thm)],[f1554])).
% 0.13/0.60  fof(f1995,plain,(
% 0.13/0.60    $false|spl0_68),
% 0.13/0.60    inference(forward_subsumption_resolution,[status(thm)],[f1164,f383])).
% 0.13/0.60  fof(f1996,plain,(
% 0.13/0.60    spl0_68),
% 0.13/0.60    inference(contradiction_clause,[status(thm)],[f1995])).
% 0.13/0.60  fof(f2015,plain,(
% 0.13/0.60    $false|spl0_56),
% 0.13/0.60    inference(forward_subsumption_resolution,[status(thm)],[f1122,f401])).
% 0.13/0.60  fof(f2016,plain,(
% 0.13/0.60    spl0_56),
% 0.13/0.60    inference(contradiction_clause,[status(thm)],[f2015])).
% 0.13/0.60  fof(f2017,plain,(
% 0.13/0.60    $false|spl0_20),
% 0.13/0.60    inference(forward_subsumption_resolution,[status(thm)],[f996,f393])).
% 0.13/0.60  fof(f2018,plain,(
% 0.13/0.60    spl0_20),
% 0.13/0.60    inference(contradiction_clause,[status(thm)],[f2017])).
% 0.13/0.60  fof(f2021,plain,(
% 0.13/0.60    $false|spl0_36),
% 0.13/0.60    inference(forward_subsumption_resolution,[status(thm)],[f1053,f374])).
% 0.13/0.60  fof(f2022,plain,(
% 0.13/0.60    spl0_36),
% 0.13/0.60    inference(contradiction_clause,[status(thm)],[f2021])).
% 0.13/0.60  fof(f2036,plain,(
% 0.13/0.60    ![X0,X1]: (n1(X0,X1,X0)|~l0(X0)|~spl0_42)),
% 0.13/0.60    inference(forward_subsumption_resolution,[status(thm)],[f1074,f383])).
% 0.13/0.60  fof(f2075,plain,(
% 0.13/0.60    $false|~spl0_94),
% 0.13/0.60    inference(resolution,[status(thm)],[f1259,f383])).
% 0.13/0.60  fof(f2076,plain,(
% 0.13/0.60    ~spl0_94),
% 0.13/0.60    inference(contradiction_clause,[status(thm)],[f2075])).
% 0.13/0.60  fof(f2077,plain,(
% 0.13/0.60    ![X0]: (~p0(X0,X0)|~spl0_107)),
% 0.13/0.60    inference(forward_subsumption_resolution,[status(thm)],[f607,f1308])).
% 0.13/0.60  fof(f2078,plain,(
% 0.13/0.60    $false|~spl0_107),
% 0.13/0.60    inference(resolution,[status(thm)],[f2077,f383])).
% 0.13/0.60  fof(f2079,plain,(
% 0.13/0.60    ~spl0_107),
% 0.13/0.60    inference(contradiction_clause,[status(thm)],[f2078])).
% 0.13/0.60  fof(f2087,plain,(
% 0.13/0.60    ![X0]: (~n0(X0,a)|spl0_34)),
% 0.13/0.60    inference(resolution,[status(thm)],[f409,f1046])).
% 0.13/0.60  fof(f2095,plain,(
% 0.13/0.60    $false|spl0_34),
% 0.13/0.60    inference(backward_subsumption_resolution,[status(thm)],[f406,f2087])).
% 0.13/0.60  fof(f2096,plain,(
% 0.13/0.60    spl0_34),
% 0.13/0.60    inference(contradiction_clause,[status(thm)],[f2095])).
% 0.13/0.60  fof(f2104,plain,(
% 0.13/0.60    ![X0]: (~q0(b,X0)|~spl0_106|spl0_175)),
% 0.13/0.60    inference(resolution,[status(thm)],[f1305,f1545])).
% 0.13/0.60  fof(f2105,plain,(
% 0.13/0.60    ![X0]: (~q0(d,X0)|~spl0_106|spl0_178)),
% 0.13/0.60    inference(resolution,[status(thm)],[f1305,f1556])).
% 0.13/0.60  fof(f2107,plain,(
% 0.13/0.60    $false|~spl0_106|spl0_175),
% 0.13/0.60    inference(backward_subsumption_resolution,[status(thm)],[f375,f2104])).
% 0.13/0.60  fof(f2108,plain,(
% 0.13/0.60    ~spl0_106|spl0_175),
% 0.13/0.60    inference(contradiction_clause,[status(thm)],[f2107])).
% 0.13/0.60  fof(f2109,plain,(
% 0.13/0.60    $false|~spl0_106|spl0_178),
% 0.13/0.60    inference(backward_subsumption_resolution,[status(thm)],[f398,f2105])).
% 0.13/0.60  fof(f2110,plain,(
% 0.13/0.60    ~spl0_106|spl0_178),
% 0.13/0.60    inference(contradiction_clause,[status(thm)],[f2109])).
% 0.13/0.60  fof(f2113,plain,(
% 0.13/0.60    ~l0(c)|~spl0_3|~spl0_9),
% 0.13/0.60    inference(resolution,[status(thm)],[f936,f957])).
% 0.13/0.60  fof(f2114,plain,(
% 0.13/0.60    ~spl0_20|~spl0_3|~spl0_9),
% 0.13/0.60    inference(split_clause,[status(thm)],[f2113,f994,f935,f956])).
% 0.13/0.60  fof(f2153,plain,(
% 0.13/0.60    ![X0]: (n1(a,X0,a)|~spl0_42)),
% 0.13/0.60    inference(resolution,[status(thm)],[f2036,f389])).
% 0.13/0.60  fof(f2161,plain,(
% 0.13/0.60    ![X0]: (~n0(X0,c)|spl0_9)),
% 0.13/0.60    inference(resolution,[status(thm)],[f411,f958])).
% 0.13/0.60  fof(f2165,plain,(
% 0.13/0.60    $false|spl0_9),
% 0.13/0.60    inference(backward_subsumption_resolution,[status(thm)],[f395,f2161])).
% 0.13/0.60  fof(f2166,plain,(
% 0.13/0.60    spl0_9),
% 0.13/0.60    inference(contradiction_clause,[status(thm)],[f2165])).
% 0.13/0.60  fof(f2528,plain,(
% 0.13/0.60    ![X0,X1,X2,X3]: (~s1(X0)|~m0(X1,X0,X2)|m4(X3,X2)|~s3(a,X3)|~spl0_111)),
% 0.13/0.60    inference(resolution,[status(thm)],[f1323,f841])).
% 0.13/0.60  fof(f2589,plain,(
% 0.13/0.60    ![X0]: (p1(X0,X0,b))),
% 0.13/0.60    inference(resolution,[status(thm)],[f518,f383])).
% 0.13/0.60  fof(f2762,plain,(
% 0.13/0.60    spl0_352 <=> s2(a)),
% 0.13/0.60    introduced(split_symbol_definition)).
% 0.13/0.60  fof(f2764,plain,(
% 0.13/0.60    ~s2(a)|spl0_352),
% 0.13/0.60    inference(component_clause,[status(thm)],[f2762])).
% 0.13/0.60  fof(f2767,plain,(
% 0.13/0.60    ~q2(b,a,b)|spl0_352|~spl0_174),
% 0.13/0.60    inference(resolution,[status(thm)],[f2764,f1541])).
% 0.13/0.60  fof(f3065,plain,(
% 0.13/0.60    ![X0]: (~p1(b,b,X0)|~n1(a,b,X0)|~q2(a,X0,b)|spl0_352|~spl0_174)),
% 0.13/0.60    inference(resolution,[status(thm)],[f693,f2767])).
% 0.13/0.60  fof(f3357,plain,(
% 0.13/0.60    $false|spl0_69),
% 0.13/0.60    inference(forward_subsumption_resolution,[status(thm)],[f1168,f2589])).
% 0.13/0.60  fof(f3358,plain,(
% 0.13/0.60    spl0_69),
% 0.13/0.60    inference(contradiction_clause,[status(thm)],[f3357])).
% 0.13/0.60  fof(f3542,plain,(
% 0.13/0.60    spl0_433 <=> ~s1(X0)|~m0(X1,X0,X2)|m4(X3,X2)|~q2(X4,a,X4)|~m0(X4,X5,X3)),
% 0.13/0.60    introduced(split_symbol_definition)).
% 0.13/0.60  fof(f3543,plain,(
% 0.13/0.60    ![X0,X1,X2,X3,X4,X5]: (~s1(X0)|~m0(X1,X0,X2)|m4(X3,X2)|~q2(X4,a,X4)|~m0(X4,X5,X3)|~spl0_433)),
% 0.13/0.60    inference(component_clause,[status(thm)],[f3542])).
% 0.13/0.60  fof(f3545,plain,(
% 0.13/0.60    ![X0,X1,X2,X3,X4,X5]: (~s1(X0)|~m0(X1,X0,X2)|m4(X3,X2)|~q2(X4,a,X4)|~s2(a)|~m0(X4,X5,X3)|~spl0_111)),
% 0.13/0.60    inference(resolution,[status(thm)],[f2528,f831])).
% 0.13/0.60  fof(f3546,plain,(
% 0.13/0.60    spl0_433|~spl0_352|~spl0_111),
% 0.13/0.60    inference(split_clause,[status(thm)],[f3545,f3542,f2762,f1322])).
% 0.13/0.60  fof(f3622,plain,(
% 0.13/0.60    spl0_448 <=> ~q2(X0,a,X0)|~m0(X0,X1,X2)),
% 0.13/0.60    introduced(split_symbol_definition)).
% 0.13/0.60  fof(f3623,plain,(
% 0.13/0.60    ![X0,X1,X2]: (~q2(X0,a,X0)|~m0(X0,X1,X2)|~spl0_448)),
% 0.13/0.60    inference(component_clause,[status(thm)],[f3622])).
% 0.13/0.60  fof(f3627,plain,(
% 0.13/0.60    spl0_449 <=> ~m0(a,X0,X1)),
% 0.13/0.60    introduced(split_symbol_definition)).
% 0.13/0.60  fof(f3628,plain,(
% 0.13/0.60    ![X0,X1]: (~m0(a,X0,X1)|~spl0_449)),
% 0.13/0.60    inference(component_clause,[status(thm)],[f3627])).
% 0.13/0.60  fof(f3633,plain,(
% 0.13/0.60    ![X0,X1]: (~m0(a,X0,X1)|~p1(a,a,a)|~spl0_448)),
% 0.13/0.60    inference(resolution,[status(thm)],[f3623,f692])).
% 0.13/0.60  fof(f3634,plain,(
% 0.13/0.60    spl0_449|~spl0_67|~spl0_448),
% 0.13/0.60    inference(split_clause,[status(thm)],[f3633,f3627,f1159,f3622])).
% 0.13/0.60  fof(f3647,plain,(
% 0.13/0.60    spl0_452 <=> l1(a,a)),
% 0.13/0.60    introduced(split_symbol_definition)).
% 0.13/0.60  fof(f3649,plain,(
% 0.13/0.60    ~l1(a,a)|spl0_452),
% 0.13/0.60    inference(component_clause,[status(thm)],[f3647])).
% 0.13/0.60  fof(f3657,plain,(
% 0.13/0.60    $false|~spl0_449),
% 0.13/0.60    inference(backward_subsumption_resolution,[status(thm)],[f392,f3628])).
% 0.13/0.60  fof(f3658,plain,(
% 0.13/0.60    ~spl0_449),
% 0.13/0.60    inference(contradiction_clause,[status(thm)],[f3657])).
% 0.13/0.60  fof(f3659,plain,(
% 0.13/0.60    ~k1(a)|spl0_452|~spl0_2),
% 0.13/0.60    inference(resolution,[status(thm)],[f3649,f933])).
% 0.13/0.60  fof(f3660,plain,(
% 0.13/0.60    ~spl0_34|spl0_452|~spl0_2),
% 0.13/0.60    inference(split_clause,[status(thm)],[f3659,f1044,f3647,f932])).
% 0.13/0.60  fof(f3702,plain,(
% 0.13/0.60    spl0_457 <=> ~q0(b,X0)),
% 0.13/0.60    introduced(split_symbol_definition)).
% 0.13/0.60  fof(f3703,plain,(
% 0.13/0.60    ![X0]: (~q0(b,X0)|~spl0_457)),
% 0.13/0.60    inference(component_clause,[status(thm)],[f3702])).
% 0.13/0.60  fof(f3710,plain,(
% 0.13/0.60    spl0_458 <=> ~q0(X0,X1)),
% 0.13/0.60    introduced(split_symbol_definition)).
% 0.13/0.60  fof(f3711,plain,(
% 0.13/0.60    ![X0,X1]: (~q0(X0,X1)|~spl0_458)),
% 0.13/0.60    inference(component_clause,[status(thm)],[f3710])).
% 0.13/0.60  fof(f3715,plain,(
% 0.13/0.60    $false|~spl0_458),
% 0.13/0.60    inference(backward_subsumption_resolution,[status(thm)],[f405,f3711])).
% 0.13/0.60  fof(f3716,plain,(
% 0.13/0.60    ~spl0_458),
% 0.13/0.60    inference(contradiction_clause,[status(thm)],[f3715])).
% 0.13/0.60  fof(f3717,plain,(
% 0.13/0.60    $false|~spl0_457),
% 0.13/0.60    inference(backward_subsumption_resolution,[status(thm)],[f375,f3703])).
% 0.13/0.60  fof(f3718,plain,(
% 0.13/0.60    ~spl0_457),
% 0.13/0.60    inference(contradiction_clause,[status(thm)],[f3717])).
% 0.13/0.60  fof(f3783,plain,(
% 0.13/0.60    spl0_461 <=> q2(a,b,b)),
% 0.13/0.60    introduced(split_symbol_definition)).
% 0.13/0.60  fof(f3784,plain,(
% 0.13/0.60    q2(a,b,b)|~spl0_461),
% 0.13/0.60    inference(component_clause,[status(thm)],[f3783])).
% 0.13/0.60  fof(f3785,plain,(
% 0.13/0.60    ~q2(a,b,b)|spl0_461),
% 0.13/0.60    inference(component_clause,[status(thm)],[f3783])).
% 0.13/0.60  fof(f3796,plain,(
% 0.13/0.60    ~k0(b)|~p1(a,a,a)|spl0_461),
% 0.13/0.60    inference(resolution,[status(thm)],[f3785,f687])).
% 0.13/0.60  fof(f3797,plain,(
% 0.13/0.60    ~spl0_56|~spl0_67|spl0_461),
% 0.13/0.60    inference(split_clause,[status(thm)],[f3796,f1120,f1159,f3783])).
% 0.13/0.60  fof(f3897,plain,(
% 0.13/0.60    spl0_475 <=> ~s1(X0)|~m0(X1,X0,d)),
% 0.13/0.60    introduced(split_symbol_definition)).
% 0.13/0.60  fof(f3898,plain,(
% 0.13/0.60    ![X0,X1]: (~s1(X0)|~m0(X1,X0,d)|~spl0_475)),
% 0.13/0.60    inference(component_clause,[status(thm)],[f3897])).
% 0.13/0.60  fof(f3900,plain,(
% 0.13/0.60    ![X0,X1,X2,X3,X4]: (~s1(X0)|~m0(X1,X0,d)|~q2(X2,a,X2)|~m0(X2,X3,X4)|~spl0_433)),
% 0.13/0.60    inference(resolution,[status(thm)],[f3543,f924])).
% 0.13/0.60  fof(f3901,plain,(
% 0.13/0.60    spl0_475|spl0_448|~spl0_433),
% 0.13/0.60    inference(split_clause,[status(thm)],[f3900,f3897,f3622,f3542])).
% 0.13/0.60  fof(f3903,plain,(
% 0.13/0.60    ~s1(d)|~spl0_475),
% 0.13/0.60    inference(resolution,[status(thm)],[f3898,f388])).
% 0.13/0.60  fof(f3904,plain,(
% 0.13/0.60    ~spl0_178|~spl0_475),
% 0.13/0.60    inference(split_clause,[status(thm)],[f3903,f1554,f3897])).
% 0.13/0.60  fof(f3912,plain,(
% 0.13/0.60    spl0_477 <=> m1(b,d,b)),
% 0.13/0.60    introduced(split_symbol_definition)).
% 0.13/0.60  fof(f3914,plain,(
% 0.13/0.60    ~m1(b,d,b)|spl0_477),
% 0.13/0.60    inference(component_clause,[status(thm)],[f3912])).
% 0.13/0.60  fof(f3930,plain,(
% 0.13/0.60    ~m0(d,d,b)|spl0_477),
% 0.13/0.60    inference(resolution,[status(thm)],[f3914,f416])).
% 0.13/0.60  fof(f3931,plain,(
% 0.13/0.60    $false|spl0_477),
% 0.13/0.60    inference(forward_subsumption_resolution,[status(thm)],[f3930,f388])).
% 0.13/0.60  fof(f3932,plain,(
% 0.13/0.60    spl0_477),
% 0.13/0.60    inference(contradiction_clause,[status(thm)],[f3931])).
% 0.13/0.60  fof(f3960,plain,(
% 0.13/0.60    spl0_478 <=> n1(a,b,b)),
% 0.13/0.60    introduced(split_symbol_definition)).
% 0.13/0.60  fof(f3962,plain,(
% 0.13/0.60    ~n1(a,b,b)|spl0_478),
% 0.13/0.60    inference(component_clause,[status(thm)],[f3960])).
% 0.13/0.60  fof(f3963,plain,(
% 0.13/0.60    ~p1(b,b,b)|~n1(a,b,b)|spl0_352|~spl0_174|~spl0_461),
% 0.13/0.60    inference(resolution,[status(thm)],[f3065,f3784])).
% 0.13/0.60  fof(f3964,plain,(
% 0.13/0.60    ~spl0_69|~spl0_478|spl0_352|~spl0_174|~spl0_461),
% 0.13/0.60    inference(split_clause,[status(thm)],[f3963,f1166,f3960,f2762,f1540,f3783])).
% 0.13/0.60  fof(f3970,plain,(
% 0.13/0.60    spl0_480 <=> n1(a,b,a)),
% 0.13/0.60    introduced(split_symbol_definition)).
% 0.13/0.60  fof(f3972,plain,(
% 0.13/0.60    ~n1(a,b,a)|spl0_480),
% 0.13/0.60    inference(component_clause,[status(thm)],[f3970])).
% 0.13/0.60  fof(f3978,plain,(
% 0.13/0.60    $false|~spl0_42|spl0_480),
% 0.13/0.60    inference(forward_subsumption_resolution,[status(thm)],[f3972,f2153])).
% 0.13/0.60  fof(f3979,plain,(
% 0.13/0.60    ~spl0_42|spl0_480),
% 0.13/0.60    inference(contradiction_clause,[status(thm)],[f3978])).
% 0.13/0.60  fof(f3988,plain,(
% 0.13/0.60    spl0_483 <=> ~l0(X0)|~l1(X0,a)),
% 0.13/0.60    introduced(split_symbol_definition)).
% 0.13/0.60  fof(f3989,plain,(
% 0.13/0.60    ![X0]: (~l0(X0)|~l1(X0,a)|~spl0_483)),
% 0.13/0.60    inference(component_clause,[status(thm)],[f3988])).
% 0.13/0.60  fof(f3991,plain,(
% 0.13/0.60    ![X0]: (~l0(X0)|~l1(X0,a)|~n1(a,b,a)|spl0_478)),
% 0.13/0.60    inference(resolution,[status(thm)],[f3962,f496])).
% 0.13/0.60  fof(f3992,plain,(
% 0.13/0.60    spl0_483|~spl0_480|spl0_478),
% 0.13/0.60    inference(split_clause,[status(thm)],[f3991,f3988,f3970,f3960])).
% 0.13/0.60  fof(f4004,plain,(
% 0.13/0.60    ~l1(a,a)|~spl0_483),
% 0.13/0.60    inference(resolution,[status(thm)],[f3989,f389])).
% 0.13/0.60  fof(f4005,plain,(
% 0.13/0.60    ~spl0_452|~spl0_483),
% 0.13/0.60    inference(split_clause,[status(thm)],[f4004,f3647,f3988])).
% 0.13/0.60  fof(f4007,plain,(
% 0.13/0.60    $false),
% 0.13/0.60    inference(sat_refutation,[status(thm)],[f938,f1076,f1165,f1310,f1325,f1546,f1996,f2016,f2018,f2022,f2076,f2079,f2096,f2108,f2110,f2114,f2166,f3358,f3546,f3634,f3658,f3660,f3716,f3718,f3797,f3901,f3904,f3932,f3964,f3979,f3992,f4005])).
% 0.13/0.60  % SZS output end CNFRefutation for theBenchmark.p
% 2.18/0.61  % Elapsed time: 0.314404 seconds
% 2.18/0.61  % CPU time: 2.320215 seconds
% 2.18/0.61  % Total memory used: 77.009 MB
% 2.18/0.61  % Net memory used: 75.215 MB
%------------------------------------------------------------------------------