%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : MSC016+1 : TPTP v9.3.1. Released v3.5.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% Computer : n008.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8046.5625MB
% OS : Linux 6.8.0-71-generic
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Tue Sep 29 12:05:12 PM UTC 2026
% Result : CounterSatisfiable 1.12s 1.70s
% Output : Saturation 5.60s
% Verified :
% SZS Type : ERROR: Analysing output (MakeTreeStats fails)
% Comments :
%------------------------------------------------------------------------------
cnf(u347,negated_conjecture,
~ ld__(k,k) ).
cnf(u360,negated_conjecture,
~ ld__(h(d),h(d)) ).
cnf(u377,negated_conjecture,
~ ld__(b,b) ).
cnf(u399,negated_conjecture,
~ ld__(a,a) ).
cnf(u474,negated_conjecture,
~ ld__(w,w) ).
cnf(u510,negated_conjecture,
~ ld__(c,c) ).
cnf(u708,negated_conjecture,
~ ld__(lkg,lkg) ).
cnf(u1065,negated_conjecture,
~ ld__(hill,hill) ).
cnf(u1221,negated_conjecture,
~ ld__(g(e,e),g(e,e)) ).
cnf(u1347,negated_conjecture,
~ ld__(g(b,b),g(b,b)) ).
cnf(u1400,negated_conjecture,
~ ld__(g(a,c),g(a,c)) ).
cnf(u1179,negated_conjecture,
( sP0(X1,X0,X2)
| ~ ld__(X0,lkg)
| ~ p(X1,X0,X2)
| ~ ld__(X0,g(e,e))
| ~ ld__(X1,a)
| ~ ld__(X1,g(e,e))
| ~ ld__(X0,g(a,c)) ) ).
cnf(u1983,negated_conjecture,
( ~ p(X1,X2,X0)
| ~ ld__(X0,hill)
| ~ ld__(X0,k)
| ~ ld__(X2,b)
| ~ ld__(X1,g(e,e))
| ~ ld__(X2,g(a,c))
| ~ ld__(X2,a) ) ).
cnf(u934,negated_conjecture,
( sP0(X1,X2,X0)
| ~ ld__(X0,hill)
| ~ p(X1,X2,X0)
| ~ ld__(X0,k)
| ~ ld__(X2,b)
| ~ ld__(X1,g(e,e))
| ~ ld__(X2,g(a,c)) ) ).
cnf(u263,axiom,
ld__(k,d) ).
cnf(u730,negated_conjecture,
( sP1(X0,X1,X2)
| ~ ld__(X1,g(e,e))
| ~ ld__(X2,hill)
| ~ p(X0,X1,X2)
| sP0(X0,X1,X2)
| ~ ld__(X0,a)
| ~ ld__(X0,g(e,e)) ) ).
cnf(u729,negated_conjecture,
( ~ p(X1,X0,X2)
| ~ ld__(X0,lkg)
| ~ ld__(X2,k)
| ~ ld__(X1,a)
| ~ ld__(X2,b)
| ~ ld__(X1,h(d)) ) ).
cnf(u927,negated_conjecture,
( sP0(X1,X2,X0)
| ~ ld__(X0,hill)
| ~ p(X1,X2,X0)
| ~ ld__(X0,k)
| ~ ld__(X1,a)
| ~ ld__(X1,g(e,e))
| ~ ld__(X2,g(a,c)) ) ).
cnf(u2267,negated_conjecture,
( ~ p(X1,X2,X0)
| ~ ld__(X0,hill)
| ~ ld__(X2,g(e,e))
| ~ ld__(X2,b)
| ~ ld__(X0,b)
| ~ ld__(X0,g(b,b))
| ~ ld__(X0,a) ) ).
cnf(u1184,negated_conjecture,
( ~ p(X1,X2,X0)
| ~ ld__(X0,hill)
| ~ ld__(X1,h(d))
| ~ ld__(X0,c)
| ~ ld__(X0,b)
| ~ ld__(X0,a) ) ).
cnf(u1379,negated_conjecture,
( ~ p(X0,X1,X2)
| ~ ld__(X0,k)
| ~ ld__(X2,k)
| ~ ld__(X1,b)
| ~ ld__(X1,w)
| ~ ld__(X2,g(b,b))
| ~ ld__(X1,a) ) ).
cnf(u1291,negated_conjecture,
( ~ p(X1,X2,X0)
| ~ ld__(X0,hill)
| ~ ld__(X1,h(d))
| ~ ld__(X0,c)
| ~ ld__(X1,g(e,e))
| ~ ld__(X0,a) ) ).
cnf(u529,negated_conjecture,
( sP2(X0,X1,X2)
| ~ p(X0,X1,X2)
| ~ ld__(X0,h(d))
| ~ ld__(X0,k)
| sP1(X0,X1,X2)
| sP0(X0,X1,X2)
| ~ ld__(X2,c) ) ).
cnf(u1211,negated_conjecture,
( sP0(X2,X0,X1)
| ~ ld__(X1,hill)
| ~ p(X2,X0,X1)
| ~ ld__(X0,g(e,e))
| ~ ld__(X0,b)
| ~ ld__(X2,g(e,e))
| ~ ld__(X1,g(b,b)) ) ).
cnf(u1131,negated_conjecture,
( ~ p(X1,X2,X0)
| ~ ld__(X0,hill)
| ~ ld__(X1,h(d))
| ~ ld__(X2,b)
| ~ ld__(X0,b)
| ~ ld__(X2,a) ) ).
cnf(u886,negated_conjecture,
( ~ p(X0,X1,X2)
| ~ ld__(X0,k)
| ~ ld__(X0,h(d))
| ~ ld__(X2,c)
| ~ ld__(X2,b)
| ~ ld__(X2,a) ) ).
cnf(u1547,negated_conjecture,
( ~ p(X1,X0,X2)
| ~ ld__(X0,lkg)
| ~ ld__(X2,k)
| ~ ld__(X2,c)
| ~ ld__(X2,b)
| ~ ld__(X2,g(b,b))
| ~ ld__(X2,a) ) ).
cnf(u1005,negated_conjecture,
( sP0(X1,X0,X2)
| ~ ld__(X0,lkg)
| ~ p(X1,X0,X2)
| ~ ld__(X0,g(e,e))
| ~ ld__(X0,b)
| ~ ld__(X0,w)
| ~ ld__(X0,g(a,c)) ) ).
cnf(u2294,negated_conjecture,
( ~ p(X1,X2,X0)
| ~ ld__(X0,hill)
| ~ ld__(X2,g(e,e))
| ~ ld__(X0,c)
| ~ ld__(X0,b)
| ~ ld__(X2,g(a,c))
| ~ ld__(X0,a) ) ).
cnf(u1068,negated_conjecture,
( sP0(X2,X0,X1)
| ~ ld__(X1,hill)
| ~ p(X2,X0,X1)
| ~ ld__(X0,g(e,e))
| ~ ld__(X0,b)
| ~ ld__(X1,b)
| ~ ld__(X0,g(a,c)) ) ).
cnf(u1136,negated_conjecture,
( sP0(X0,X2,X1)
| ~ ld__(X1,hill)
| ~ p(X0,X2,X1)
| ~ ld__(X0,h(d))
| ~ ld__(X2,b)
| ~ ld__(X0,g(e,e)) ) ).
cnf(u453,negated_conjecture,
( sP0(X1,X2,X0)
| ~ p(X1,X2,X0)
| ~ ld__(X0,k)
| ~ ld__(X1,k)
| ~ ld__(X0,b)
| ~ ld__(X0,g(b,b))
| ~ ld__(X0,c) ) ).
cnf(u1520,negated_conjecture,
( ~ p(X1,X0,X2)
| ~ ld__(X0,lkg)
| ~ ld__(X2,k)
| ~ ld__(X0,b)
| ~ ld__(X2,b)
| ~ ld__(X2,g(b,b))
| ~ ld__(X0,a) ) ).
cnf(u310,negated_conjecture,
( sP2(X0,X1,X2)
| ~ p(X0,X1,X2)
| ~ ld__(X2,k)
| ~ ld__(X0,k)
| sP1(X0,X1,X2)
| sP0(X0,X1,X2)
| ~ ld__(X2,c) ) ).
cnf(u744,negated_conjecture,
( sP1(X0,X1,X2)
| ~ ld__(X1,g(e,e))
| ~ ld__(X2,hill)
| ~ p(X0,X1,X2)
| sP0(X0,X1,X2)
| ~ ld__(X2,c)
| ~ ld__(X2,b) ) ).
cnf(u2285,negated_conjecture,
( ~ p(X1,X2,X0)
| ~ ld__(X0,hill)
| ~ ld__(X2,g(e,e))
| ~ ld__(X0,c)
| ~ ld__(X2,w)
| ~ ld__(X0,g(b,b))
| ~ ld__(X0,a) ) ).
cnf(u1210,negated_conjecture,
( sP0(X2,X0,X1)
| ~ ld__(X1,hill)
| ~ p(X2,X0,X1)
| ~ ld__(X0,g(e,e))
| ~ ld__(X0,b)
| ~ ld__(X2,g(e,e))
| ~ ld__(X0,g(a,c)) ) ).
cnf(u1160,negated_conjecture,
( ~ p(X1,X2,X0)
| ~ ld__(X0,hill)
| ~ ld__(X1,h(d))
| ~ ld__(X0,c)
| ~ ld__(X2,w)
| ~ ld__(X0,a) ) ).
cnf(u1370,negated_conjecture,
( ~ p(X0,X1,X2)
| ~ ld__(X2,k)
| ~ ld__(X0,k)
| ~ ld__(X1,w)
| ~ ld__(X2,g(b,b))
| ~ ld__(X2,c)
| ~ ld__(X1,a) ) ).
cnf(u1129,negated_conjecture,
( sP0(X0,X2,X1)
| ~ ld__(X1,hill)
| ~ p(X0,X2,X1)
| ~ ld__(X0,h(d))
| ~ ld__(X0,a)
| ~ ld__(X0,g(e,e)) ) ).
cnf(u579,negated_conjecture,
( sP1(X0,X1,X2)
| ~ ld__(X2,k)
| ~ ld__(X1,lkg)
| ~ p(X0,X1,X2)
| sP0(X0,X1,X2)
| ~ ld__(X0,a)
| ~ ld__(X0,g(e,e)) ) ).
cnf(u633,negated_conjecture,
( sP1(X0,X1,X2)
| ~ ld__(X0,h(d))
| ~ ld__(X0,k)
| ~ p(X0,X1,X2)
| sP0(X0,X1,X2)
| ~ ld__(X2,c)
| ~ ld__(X2,b) ) ).
cnf(u1431,negated_conjecture,
( ~ p(X0,X1,X2)
| ~ ld__(X2,k)
| ~ ld__(X0,k)
| ~ ld__(X2,b)
| ~ ld__(X1,g(a,c))
| ~ ld__(X2,c)
| ~ ld__(X2,a) ) ).
cnf(u1891,negated_conjecture,
( ~ p(X0,X1,X2)
| ~ ld__(X2,k)
| ~ ld__(X1,b)
| ~ ld__(X0,g(e,e))
| ~ ld__(X0,k)
| ~ ld__(X1,g(a,c))
| ~ ld__(X1,a) ) ).
cnf(u1281,negated_conjecture,
( ~ p(X1,X2,X0)
| ~ ld__(X0,hill)
| ~ ld__(X1,h(d))
| ~ ld__(X2,b)
| ~ ld__(X1,g(e,e))
| ~ ld__(X2,a) ) ).
cnf(u740,negated_conjecture,
( sP1(X0,X1,X2)
| ~ ld__(X1,g(e,e))
| ~ ld__(X2,hill)
| ~ p(X0,X1,X2)
| sP0(X0,X1,X2)
| ~ ld__(X1,b)
| ~ ld__(X1,w) ) ).
cnf(u462,negated_conjecture,
( sP0(X1,X0,X2)
| ~ ld__(X1,k)
| ~ p(X1,X0,X2)
| ~ ld__(X2,k)
| ~ ld__(X0,b)
| ~ ld__(X0,w)
| ~ ld__(X0,g(a,c)) ) ).
cnf(u2442,negated_conjecture,
( ~ p(X0,X1,X2)
| ~ ld__(X0,k)
| ~ ld__(X1,g(e,e))
| ~ ld__(X2,c)
| ~ ld__(X0,g(e,e))
| ~ ld__(X2,g(b,b))
| ~ ld__(X1,a) ) ).
cnf(u731,negated_conjecture,
( sP1(X0,X1,X2)
| ~ ld__(X1,g(e,e))
| ~ ld__(X2,hill)
| ~ p(X0,X1,X2)
| sP0(X0,X1,X2)
| ~ ld__(X0,a)
| ~ ld__(X1,w) ) ).
cnf(u696,negated_conjecture,
( sP1(X0,X1,X2)
| ~ ld__(X1,g(e,e))
| ~ ld__(X0,k)
| ~ p(X0,X1,X2)
| sP0(X0,X1,X2)
| ~ ld__(X2,c)
| ~ ld__(X2,b) ) ).
cnf(u1561,negated_conjecture,
( ~ p(X1,X2,X0)
| ~ ld__(X0,hill)
| ~ ld__(X0,k)
| ~ ld__(X1,a)
| ~ ld__(X2,w)
| ~ ld__(X0,g(b,b)) ) ).
cnf(u2276,negated_conjecture,
( ~ p(X1,X2,X0)
| ~ ld__(X0,hill)
| ~ ld__(X2,g(e,e))
| ~ ld__(X0,c)
| ~ ld__(X2,w)
| ~ ld__(X2,g(a,c))
| ~ ld__(X0,a) ) ).
cnf(u595,negated_conjecture,
( sP1(X0,X1,X2)
| ~ ld__(X2,k)
| ~ ld__(X1,lkg)
| ~ p(X0,X1,X2)
| sP0(X0,X1,X2)
| ~ ld__(X2,c)
| ~ ld__(X0,g(e,e)) ) ).
cnf(u2266,negated_conjecture,
( ~ p(X1,X2,X0)
| ~ ld__(X0,hill)
| ~ ld__(X2,g(e,e))
| ~ ld__(X2,b)
| ~ ld__(X0,b)
| ~ ld__(X0,g(b,b))
| ~ ld__(X2,a) ) ).
cnf(u924,negated_conjecture,
( sP0(X2,X1,X0)
| ~ ld__(X1,lkg)
| ~ p(X2,X1,X0)
| ~ ld__(X0,k)
| ~ ld__(X0,c)
| ~ ld__(X2,g(e,e))
| ~ ld__(X1,g(a,c)) ) ).
cnf(u489,negated_conjecture,
( sP2(X1,X0,X2)
| ~ p(X1,X0,X2)
| ~ ld__(X2,k)
| ~ ld__(X0,lkg)
| sP1(X1,X0,X2)
| sP0(X1,X0,X2)
| ~ ld__(X1,a) ) ).
cnf(u720,negated_conjecture,
( sP1(X0,X1,X2)
| ~ ld__(X1,g(e,e))
| ~ ld__(X1,lkg)
| ~ p(X0,X1,X2)
| sP0(X0,X1,X2)
| ~ ld__(X1,b)
| ~ ld__(X0,g(e,e)) ) ).
cnf(u448,negated_conjecture,
( sP1(X0,X1,X2)
| ~ p(X0,X1,X2)
| ~ ld__(X2,k)
| ~ ld__(X0,k)
| ~ ld__(X0,g(e,e))
| sP0(X0,X1,X2)
| ~ ld__(X2,c) ) ).
cnf(u1541,negated_conjecture,
( ~ p(X1,X0,X2)
| ~ ld__(X0,lkg)
| ~ ld__(X2,k)
| ~ ld__(X2,c)
| ~ ld__(X0,w)
| ~ ld__(X2,g(b,b))
| ~ ld__(X2,a) ) ).
cnf(u445,negated_conjecture,
( sP3(X2,X0,X1)
| ~ ld__(X1,hill)
| ~ p(X2,X0,X1)
| ~ ld__(X0,g(e,e))
| sP2(X2,X0,X1)
| sP1(X2,X0,X1)
| sP0(X2,X0,X1) ) ).
cnf(u1105,negated_conjecture,
( ~ p(X1,X2,X0)
| ~ ld__(X0,hill)
| ~ ld__(X1,h(d))
| ~ ld__(X2,b)
| ~ ld__(X2,w)
| ~ ld__(X0,a) ) ).
cnf(u2249,negated_conjecture,
( ~ p(X1,X2,X0)
| ~ ld__(X0,hill)
| ~ ld__(X2,g(e,e))
| ~ ld__(X2,b)
| ~ ld__(X2,w)
| ~ ld__(X0,g(b,b))
| ~ ld__(X0,a) ) ).
cnf(u1898,negated_conjecture,
( ~ p(X1,X2,X0)
| ~ ld__(X1,k)
| ~ ld__(X1,g(e,e))
| ~ ld__(X0,k)
| ~ ld__(X0,c)
| ~ ld__(X2,g(a,c))
| ~ ld__(X0,a) ) ).
cnf(u449,negated_conjecture,
( sP0(X1,X2,X0)
| ~ p(X1,X2,X0)
| ~ ld__(X0,k)
| ~ ld__(X1,a)
| ~ ld__(X1,k)
| ~ ld__(X0,g(b,b))
| ~ ld__(X0,b) ) ).
cnf(u527,negated_conjecture,
( sP2(X0,X1,X2)
| ~ p(X0,X1,X2)
| ~ ld__(X0,h(d))
| ~ ld__(X0,k)
| sP1(X0,X1,X2)
| sP0(X0,X1,X2)
| ~ ld__(X0,a) ) ).
cnf(u288,axiom,
ld__(lkg,w) ).
cnf(u1071,negated_conjecture,
( sP0(X2,X0,X1)
| ~ ld__(X1,hill)
| ~ p(X2,X0,X1)
| ~ ld__(X0,g(e,e))
| ~ ld__(X1,c)
| ~ ld__(X0,w)
| ~ ld__(X0,g(a,c)) ) ).
cnf(u326,negated_conjecture,
( sP0(X0,X1,X2)
| ~ p(X0,X1,X2)
| ~ ld__(X2,k)
| ~ ld__(X0,k)
| ~ ld__(X2,b)
| ~ ld__(X0,h(d))
| ~ ld__(X2,c) ) ).
cnf(u807,negated_conjecture,
( sP0(X0,X1,X2)
| ~ ld__(X1,lkg)
| ~ p(X0,X1,X2)
| ~ ld__(X0,h(d))
| ~ ld__(X1,b)
| ~ ld__(X2,b) ) ).
cnf(u250,axiom,
ld__(e,b) ).
cnf(u541,negated_conjecture,
( ~ p(X0,X1,X2)
| ~ ld__(X0,k)
| ~ ld__(X2,k)
| ~ ld__(X1,b)
| ~ ld__(X1,w)
| ~ ld__(X0,h(d))
| ~ ld__(X1,a) ) ).
cnf(u679,negated_conjecture,
( sP1(X0,X1,X2)
| ~ ld__(X1,g(e,e))
| ~ ld__(X0,k)
| ~ p(X0,X1,X2)
| sP0(X0,X1,X2)
| ~ ld__(X0,a)
| ~ ld__(X2,b) ) ).
cnf(u2113,negated_conjecture,
( ~ p(X1,X0,X2)
| ~ ld__(X0,lkg)
| ~ ld__(X0,g(e,e))
| ~ ld__(X1,a)
| ~ ld__(X0,w)
| ~ ld__(X0,g(a,c)) ) ).
cnf(u282,axiom,
ld__(k,h(X0)) ).
cnf(u249,axiom,
ld__(b,h(X0)) ).
cnf(u440,negated_conjecture,
~ ld__(d,d) ).
cnf(u2510,negated_conjecture,
( ~ p(X1,X2,X0)
| ~ ld__(X0,hill)
| ~ ld__(X2,g(e,e))
| ~ ld__(X1,a)
| ~ ld__(X1,g(e,e))
| ~ ld__(X0,g(b,b)) ) ).
cnf(u252,axiom,
ld__(lkg,b) ).
cnf(u313,negated_conjecture,
( sP1(X1,X2,X0)
| ~ ld__(X1,k)
| ~ p(X1,X2,X0)
| ~ ld__(X0,k)
| ~ ld__(X2,b)
| ~ ld__(X0,b)
| sP0(X1,X2,X0) ) ).
cnf(u2188,negated_conjecture,
( ~ p(X1,X0,X2)
| ~ ld__(X0,lkg)
| ~ ld__(X0,g(e,e))
| ~ ld__(X2,c)
| ~ ld__(X0,w)
| ~ ld__(X0,g(a,c))
| ~ ld__(X2,a) ) ).
cnf(u2275,negated_conjecture,
( ~ p(X1,X2,X0)
| ~ ld__(X0,hill)
| ~ ld__(X2,g(e,e))
| ~ ld__(X0,c)
| ~ ld__(X2,w)
| ~ ld__(X2,g(a,c))
| ~ ld__(X2,a) ) ).
cnf(u284,axiom,
ld__(hill,k) ).
cnf(u243,axiom,
ld__(a,b) ).
cnf(u1337,negated_conjecture,
( ~ p(X0,X1,X2)
| ~ ld__(X2,k)
| ~ ld__(X0,a)
| ~ ld__(X0,k)
| ~ ld__(X2,g(b,b))
| ~ ld__(X2,b) ) ).
cnf(u668,negated_conjecture,
( sP1(X0,X1,X2)
| ~ ld__(X0,h(d))
| ~ ld__(X2,hill)
| ~ p(X0,X1,X2)
| sP0(X0,X1,X2)
| ~ ld__(X2,c)
| ~ ld__(X1,w) ) ).
cnf(u725,negated_conjecture,
( sP1(X0,X1,X2)
| ~ ld__(X1,g(e,e))
| ~ ld__(X1,lkg)
| ~ p(X0,X1,X2)
| sP0(X0,X1,X2)
| ~ ld__(X2,c)
| ~ ld__(X2,b) ) ).
cnf(u246,axiom,
ld__(w,b) ).
cnf(u2084,negated_conjecture,
( ~ p(X0,X1,X2)
| ~ ld__(X0,k)
| ~ ld__(X1,g(e,e))
| ~ ld__(X2,c)
| ~ ld__(X1,w)
| ~ ld__(X2,g(b,b))
| ~ ld__(X1,a) ) ).
cnf(u278,axiom,
ld__(hill,g(X0,X1)) ).
cnf(u245,axiom,
ld__(k,b) ).
cnf(u1994,negated_conjecture,
( ~ p(X1,X2,X0)
| ~ ld__(X0,hill)
| ~ ld__(X0,k)
| ~ ld__(X2,b)
| ~ ld__(X1,g(e,e))
| ~ ld__(X0,g(b,b))
| ~ ld__(X0,a) ) ).
cnf(u173,axiom,
ld__(horse,b) ).
cnf(u1482,negated_conjecture,
( ~ p(X1,X0,X2)
| ~ ld__(X0,lkg)
| ~ ld__(X2,k)
| ~ ld__(X1,a)
| ~ ld__(X2,b)
| ~ ld__(X2,g(b,b)) ) ).
cnf(u631,negated_conjecture,
( sP1(X0,X1,X2)
| ~ ld__(X0,h(d))
| ~ ld__(X0,k)
| ~ p(X0,X1,X2)
| sP0(X0,X1,X2)
| ~ ld__(X2,c)
| ~ ld__(X0,g(e,e)) ) ).
cnf(u232,axiom,
( ld__(g(X0,X2),g(X1,X3))
| ~ ld__(X0,X1) ) ).
cnf(u2424,negated_conjecture,
( ~ p(X0,X1,X2)
| ~ ld__(X0,k)
| ~ ld__(X1,g(e,e))
| ~ ld__(X0,a)
| ~ ld__(X0,g(e,e))
| ~ ld__(X2,g(b,b)) ) ).
cnf(u264,axiom,
ld__(hill,d) ).
cnf(u239,axiom,
ld__(k,a) ).
cnf(u2303,negated_conjecture,
( ~ p(X1,X2,X0)
| ~ ld__(X0,hill)
| ~ ld__(X2,g(e,e))
| ~ ld__(X0,c)
| ~ ld__(X0,b)
| ~ ld__(X0,g(b,b))
| ~ ld__(X0,a) ) ).
cnf(u2258,negated_conjecture,
( ~ p(X1,X2,X0)
| ~ ld__(X0,hill)
| ~ ld__(X2,g(e,e))
| ~ ld__(X2,b)
| ~ ld__(X0,b)
| ~ ld__(X2,g(a,c))
| ~ ld__(X0,a) ) ).
cnf(u226,axiom,
ld__(cow,w) ).
cnf(u2433,negated_conjecture,
( ~ p(X0,X1,X2)
| ~ ld__(X0,k)
| ~ ld__(X1,g(e,e))
| ~ ld__(X1,b)
| ~ ld__(X0,g(e,e))
| ~ ld__(X1,g(a,c))
| ~ ld__(X1,a) ) ).
cnf(u2436,negated_conjecture,
( ~ p(X0,X1,X2)
| ~ ld__(X0,k)
| ~ ld__(X1,g(e,e))
| ~ ld__(X1,b)
| ~ ld__(X0,g(e,e))
| ~ ld__(X2,g(b,b))
| ~ ld__(X1,a) ) ).
cnf(u258,axiom,
ld__(k,c) ).
cnf(u677,negated_conjecture,
( sP1(X0,X1,X2)
| ~ ld__(X1,g(e,e))
| ~ ld__(X0,k)
| ~ p(X0,X1,X2)
| sP0(X0,X1,X2)
| ~ ld__(X0,a)
| ~ ld__(X0,g(e,e)) ) ).
cnf(u1892,negated_conjecture,
( ~ p(X0,X1,X2)
| ~ ld__(X2,k)
| ~ ld__(X1,b)
| ~ ld__(X0,g(e,e))
| ~ ld__(X0,k)
| ~ ld__(X1,g(a,c))
| ~ ld__(X2,a) ) ).
cnf(u228,axiom,
ld__(lilly,w) ).
cnf(u1593,negated_conjecture,
( ~ p(X1,X2,X0)
| ~ ld__(X0,hill)
| ~ ld__(X0,k)
| ~ ld__(X2,b)
| ~ ld__(X2,w)
| ~ ld__(X0,g(b,b))
| ~ ld__(X0,a) ) ).
cnf(u1500,negated_conjecture,
( ~ p(X1,X0,X2)
| ~ ld__(X0,lkg)
| ~ ld__(X2,k)
| ~ ld__(X0,b)
| ~ ld__(X0,w)
| ~ ld__(X2,g(b,b))
| ~ ld__(X0,a) ) ).
cnf(u260,axiom,
ld__(hill,c) ).
cnf(u219,axiom,
ld__(aparna,lkg) ).
cnf(u184,axiom,
ld__(cow,d) ).
cnf(u2003,negated_conjecture,
( ~ p(X1,X2,X0)
| ~ ld__(X0,hill)
| ~ ld__(X0,k)
| ~ ld__(X0,c)
| ~ ld__(X1,g(e,e))
| ~ ld__(X2,g(a,c))
| ~ ld__(X2,a) ) ).
cnf(u319,negated_conjecture,
( sP3(X0,X1,X2)
| ~ ld__(X0,k)
| ~ p(X0,X1,X2)
| ~ ld__(X0,h(d))
| sP2(X0,X1,X2)
| sP1(X0,X1,X2)
| sP0(X0,X1,X2) ) ).
cnf(u658,negated_conjecture,
( sP0(X1,X2,X0)
| ~ ld__(X0,hill)
| ~ p(X1,X2,X0)
| ~ ld__(X0,k)
| ~ ld__(X0,c)
| ~ ld__(X0,b)
| ~ ld__(X2,g(a,c)) ) ).
cnf(u191,axiom,
ld__(horse,e) ).
cnf(u2413,negated_conjecture,
( ~ p(X0,X1,X2)
| ~ ld__(X0,k)
| ~ ld__(X1,g(e,e))
| ~ ld__(X0,a)
| ~ ld__(X0,g(e,e))
| ~ ld__(X1,g(a,c)) ) ).
cnf(u657,negated_conjecture,
( sP1(X0,X1,X2)
| ~ ld__(X0,h(d))
| ~ ld__(X2,hill)
| ~ p(X0,X1,X2)
| sP0(X0,X1,X2)
| ~ ld__(X0,a)
| ~ ld__(X2,b) ) ).
cnf(u178,axiom,
ld__(cow,c) ).
cnf(u2467,negated_conjecture,
( ~ p(X1,X0,X2)
| ~ ld__(X0,lkg)
| ~ ld__(X0,g(e,e))
| ~ ld__(X0,b)
| ~ ld__(X1,g(e,e))
| ~ ld__(X0,g(a,c))
| ~ ld__(X0,a) ) ).
cnf(u305,negated_conjecture,
( sP4(X0,X1,X2)
| ~ ld__(X1,lkg)
| ~ p(X0,X1,X2)
| sP3(X0,X1,X2)
| sP2(X0,X1,X2)
| sP1(X0,X1,X2)
| sP0(X0,X1,X2) ) ).
cnf(u1014,negated_conjecture,
( sP0(X1,X0,X2)
| ~ ld__(X0,lkg)
| ~ p(X1,X0,X2)
| ~ ld__(X0,g(e,e))
| ~ ld__(X0,b)
| ~ ld__(X2,b)
| ~ ld__(X0,g(a,c)) ) ).
cnf(u177,axiom,
ld__(aparna,c) ).
cnf(u1262,negated_conjecture,
( ~ p(X1,X0,X2)
| ~ ld__(X0,lkg)
| ~ ld__(X1,h(d))
| ~ ld__(X2,c)
| ~ ld__(X1,g(e,e))
| ~ ld__(X0,a) ) ).
cnf(u180,axiom,
ld__(lilly,c) ).
cnf(u299,axiom,
( ~ sP1(X0,X1,X2)
| ~ ld__(X1,g(a,c)) ) ).
cnf(u1452,negated_conjecture,
( ~ p(X1,X0,X2)
| ~ ld__(X0,lkg)
| ~ ld__(X2,k)
| ~ ld__(X1,a)
| ~ ld__(X0,w)
| ~ ld__(X0,g(a,c)) ) ).
cnf(u2133,negated_conjecture,
( ~ p(X1,X0,X2)
| ~ ld__(X0,lkg)
| ~ ld__(X0,g(e,e))
| ~ ld__(X1,a)
| ~ ld__(X2,b)
| ~ ld__(X0,g(a,c)) ) ).
cnf(u495,negated_conjecture,
( sP2(X1,X2,X0)
| ~ p(X1,X2,X0)
| ~ ld__(X0,k)
| ~ ld__(X0,hill)
| sP1(X1,X2,X0)
| sP0(X1,X2,X0)
| ~ ld__(X1,a) ) ).
cnf(u829,negated_conjecture,
( ~ p(X0,X1,X2)
| ~ ld__(X0,k)
| ~ ld__(X0,h(d))
| ~ ld__(X1,b)
| ~ ld__(X2,b)
| ~ ld__(X1,a) ) ).
cnf(u610,negated_conjecture,
( sP0(X2,X1,X0)
| ~ ld__(X1,lkg)
| ~ p(X2,X1,X0)
| ~ ld__(X0,k)
| ~ ld__(X1,b)
| ~ ld__(X0,b)
| ~ ld__(X1,g(a,c)) ) ).
cnf(u301,axiom,
( ~ sP0(X0,X1,X2)
| ~ ld__(X2,a) ) ).
cnf(u2187,negated_conjecture,
( ~ p(X1,X0,X2)
| ~ ld__(X0,lkg)
| ~ ld__(X0,g(e,e))
| ~ ld__(X2,c)
| ~ ld__(X0,w)
| ~ ld__(X0,g(a,c))
| ~ ld__(X0,a) ) ).
cnf(u323,negated_conjecture,
( sP0(X0,X1,X2)
| ~ p(X0,X1,X2)
| ~ ld__(X2,k)
| ~ ld__(X0,a)
| ~ ld__(X0,k)
| ~ ld__(X0,h(d))
| ~ ld__(X1,w) ) ).
cnf(u933,negated_conjecture,
( ~ p(X1,X0,X2)
| ~ ld__(X0,lkg)
| ~ ld__(X1,h(d))
| ~ ld__(X1,a)
| ~ ld__(X2,b) ) ).
cnf(u1643,negated_conjecture,
( ~ p(X1,X2,X0)
| ~ ld__(X0,hill)
| ~ ld__(X0,k)
| ~ ld__(X0,c)
| ~ ld__(X0,b)
| ~ ld__(X2,g(a,c))
| ~ ld__(X0,a) ) ).
cnf(u295,axiom,
( ~ sP2(X0,X1,X2)
| ~ ld__(X2,b) ) ).
cnf(u325,negated_conjecture,
( sP0(X0,X1,X2)
| ~ ld__(X0,k)
| ~ p(X0,X1,X2)
| ~ ld__(X2,k)
| ~ ld__(X1,b)
| ~ ld__(X1,w)
| ~ ld__(X0,h(d)) ) ).
cnf(u1235,negated_conjecture,
( ~ p(X0,X1,X2)
| ~ ld__(X0,k)
| ~ ld__(X0,h(d))
| ~ ld__(X2,c)
| ~ ld__(X0,g(e,e))
| ~ ld__(X2,a) ) ).
cnf(u281,axiom,
ld__(w,h(X0)) ).
cnf(u1038,negated_conjecture,
( sP0(X2,X0,X1)
| ~ ld__(X1,hill)
| ~ p(X2,X0,X1)
| ~ ld__(X0,g(e,e))
| ~ ld__(X2,a)
| ~ ld__(X0,w)
| ~ ld__(X0,g(a,c)) ) ).
cnf(u2193,negated_conjecture,
( ~ p(X1,X0,X2)
| ~ ld__(X0,lkg)
| ~ ld__(X0,g(e,e))
| ~ ld__(X2,c)
| ~ ld__(X2,b)
| ~ ld__(X0,g(a,c))
| ~ ld__(X0,a) ) ).
cnf(u605,negated_conjecture,
( sP0(X2,X1,X0)
| ~ ld__(X1,lkg)
| ~ p(X2,X1,X0)
| ~ ld__(X0,k)
| ~ ld__(X1,b)
| ~ ld__(X1,w)
| ~ ld__(X0,g(b,b)) ) ).
cnf(u1472,negated_conjecture,
( ~ p(X1,X0,X2)
| ~ ld__(X0,lkg)
| ~ ld__(X2,k)
| ~ ld__(X1,a)
| ~ ld__(X2,b)
| ~ ld__(X0,g(a,c)) ) ).
cnf(u1170,negated_conjecture,
( sP0(X1,X0,X2)
| ~ ld__(X1,k)
| ~ p(X1,X0,X2)
| ~ ld__(X0,g(e,e))
| ~ ld__(X2,c)
| ~ ld__(X1,g(e,e))
| ~ ld__(X0,g(a,c)) ) ).
cnf(u275,axiom,
ld__(w,g(X0,X1)) ).
cnf(u2529,negated_conjecture,
( ~ p(X1,X2,X0)
| ~ ld__(X0,hill)
| ~ ld__(X2,g(e,e))
| ~ ld__(X2,b)
| ~ ld__(X1,g(e,e))
| ~ ld__(X0,g(b,b))
| ~ ld__(X0,a) ) ).
cnf(u885,negated_conjecture,
( ~ p(X0,X1,X2)
| ~ ld__(X0,k)
| ~ ld__(X0,h(d))
| ~ ld__(X2,c)
| ~ ld__(X2,b)
| ~ ld__(X1,a) ) ).
cnf(u331,negated_conjecture,
( ~ p(X0,X1,X2)
| ~ ld__(X2,k)
| ~ ld__(X0,a)
| ~ ld__(X0,k)
| ~ ld__(X0,h(d))
| ~ ld__(X2,b) ) ).
cnf(u2151,negated_conjecture,
( ~ p(X1,X0,X2)
| ~ ld__(X0,lkg)
| ~ ld__(X0,g(e,e))
| ~ ld__(X0,b)
| ~ ld__(X0,w)
| ~ ld__(X0,g(a,c))
| ~ ld__(X0,a) ) ).
cnf(u1209,negated_conjecture,
( ~ p(X0,X1,X2)
| ~ ld__(X0,k)
| ~ ld__(X0,h(d))
| ~ ld__(X0,a)
| ~ ld__(X0,g(e,e)) ) ).
cnf(u277,axiom,
ld__(lkg,g(X0,X1)) ).
cnf(u659,negated_conjecture,
( sP0(X1,X2,X0)
| ~ ld__(X0,hill)
| ~ p(X1,X2,X0)
| ~ ld__(X0,k)
| ~ ld__(X0,c)
| ~ ld__(X0,b)
| ~ ld__(X0,g(b,b)) ) ).
cnf(u1984,negated_conjecture,
( ~ p(X1,X2,X0)
| ~ ld__(X0,hill)
| ~ ld__(X0,k)
| ~ ld__(X2,b)
| ~ ld__(X1,g(e,e))
| ~ ld__(X2,g(a,c))
| ~ ld__(X0,a) ) ).
cnf(u1551,negated_conjecture,
( ~ p(X1,X2,X0)
| ~ ld__(X0,hill)
| ~ ld__(X0,k)
| ~ ld__(X1,a)
| ~ ld__(X2,w)
| ~ ld__(X2,g(a,c)) ) ).
cnf(u1234,negated_conjecture,
( ~ p(X0,X1,X2)
| ~ ld__(X0,k)
| ~ ld__(X0,h(d))
| ~ ld__(X2,c)
| ~ ld__(X0,g(e,e))
| ~ ld__(X1,a) ) ).
cnf(u1361,negated_conjecture,
( ~ p(X0,X1,X2)
| ~ ld__(X2,k)
| ~ ld__(X0,a)
| ~ ld__(X0,k)
| ~ ld__(X2,g(b,b))
| ~ ld__(X1,w) ) ).
cnf(u458,negated_conjecture,
( ~ p(X0,X1,X2)
| ~ ld__(X2,k)
| ~ ld__(X0,a)
| ~ ld__(X0,k)
| ~ ld__(X0,h(d))
| ~ ld__(X1,w) ) ).
cnf(u2293,negated_conjecture,
( ~ p(X1,X2,X0)
| ~ ld__(X0,hill)
| ~ ld__(X2,g(e,e))
| ~ ld__(X0,c)
| ~ ld__(X0,b)
| ~ ld__(X2,g(a,c))
| ~ ld__(X2,a) ) ).
cnf(u1993,negated_conjecture,
( ~ p(X1,X2,X0)
| ~ ld__(X0,hill)
| ~ ld__(X0,k)
| ~ ld__(X2,b)
| ~ ld__(X1,g(e,e))
| ~ ld__(X0,g(b,b))
| ~ ld__(X2,a) ) ).
cnf(u1047,negated_conjecture,
( sP0(X2,X0,X1)
| ~ ld__(X1,hill)
| ~ p(X2,X0,X1)
| ~ ld__(X0,g(e,e))
| ~ ld__(X2,a)
| ~ ld__(X1,b)
| ~ ld__(X0,g(a,c)) ) ).
cnf(u661,negated_conjecture,
( sP1(X0,X1,X2)
| ~ ld__(X0,h(d))
| ~ ld__(X2,hill)
| ~ p(X0,X1,X2)
| sP0(X0,X1,X2)
| ~ ld__(X1,b)
| ~ ld__(X0,g(e,e)) ) ).
cnf(u327,negated_conjecture,
( sP0(X0,X1,X2)
| ~ ld__(X0,k)
| ~ p(X0,X1,X2)
| ~ ld__(X2,k)
| ~ ld__(X1,b)
| ~ ld__(X2,b)
| ~ ld__(X0,h(d)) ) ).
cnf(u655,negated_conjecture,
( sP1(X0,X1,X2)
| ~ ld__(X0,h(d))
| ~ ld__(X2,hill)
| ~ p(X0,X1,X2)
| sP0(X0,X1,X2)
| ~ ld__(X0,a)
| ~ ld__(X0,g(e,e)) ) ).
cnf(u620,negated_conjecture,
( sP1(X0,X1,X2)
| ~ ld__(X0,h(d))
| ~ ld__(X0,k)
| ~ p(X0,X1,X2)
| sP0(X0,X1,X2)
| ~ ld__(X0,a)
| ~ ld__(X1,w) ) ).
cnf(u240,axiom,
ld__(hill,a) ).
cnf(u538,negated_conjecture,
( sP2(X1,X0,X2)
| ~ p(X1,X0,X2)
| ~ ld__(X1,h(d))
| ~ ld__(X0,lkg)
| sP1(X1,X0,X2)
| sP0(X1,X0,X2)
| ~ ld__(X0,b) ) ).
cnf(u1004,negated_conjecture,
( ~ p(X1,X0,X2)
| ~ ld__(X0,lkg)
| ~ ld__(X1,h(d))
| ~ ld__(X2,c)
| ~ ld__(X0,w)
| ~ ld__(X2,a) ) ).
cnf(u611,negated_conjecture,
( sP0(X2,X1,X0)
| ~ ld__(X1,lkg)
| ~ p(X2,X1,X0)
| ~ ld__(X0,k)
| ~ ld__(X1,b)
| ~ ld__(X0,b)
| ~ ld__(X0,g(b,b)) ) ).
cnf(u454,negated_conjecture,
( sP0(X1,X2,X0)
| ~ ld__(X1,k)
| ~ p(X1,X2,X0)
| ~ ld__(X0,k)
| ~ ld__(X2,b)
| ~ ld__(X0,b)
| ~ ld__(X0,g(b,b)) ) ).
cnf(u537,negated_conjecture,
( sP2(X1,X0,X2)
| ~ p(X1,X0,X2)
| ~ ld__(X1,h(d))
| ~ ld__(X0,lkg)
| sP1(X1,X0,X2)
| sP0(X1,X0,X2)
| ~ ld__(X1,a) ) ).
cnf(u1622,negated_conjecture,
( ~ p(X1,X2,X0)
| ~ ld__(X0,hill)
| ~ ld__(X0,k)
| ~ ld__(X0,c)
| ~ ld__(X2,w)
| ~ ld__(X2,g(a,c))
| ~ ld__(X2,a) ) ).
cnf(u647,negated_conjecture,
( sP0(X1,X2,X0)
| ~ ld__(X0,hill)
| ~ p(X1,X2,X0)
| ~ ld__(X0,k)
| ~ ld__(X2,b)
| ~ ld__(X0,b)
| ~ ld__(X0,g(b,b)) ) ).
cnf(u1186,negated_conjecture,
( sP0(X1,X0,X2)
| ~ ld__(X0,lkg)
| ~ p(X1,X0,X2)
| ~ ld__(X0,g(e,e))
| ~ ld__(X0,b)
| ~ ld__(X1,g(e,e))
| ~ ld__(X2,g(b,b)) ) ).
cnf(u2194,negated_conjecture,
( ~ p(X1,X0,X2)
| ~ ld__(X0,lkg)
| ~ ld__(X0,g(e,e))
| ~ ld__(X2,c)
| ~ ld__(X2,b)
| ~ ld__(X0,g(a,c))
| ~ ld__(X2,a) ) ).
cnf(u262,axiom,
ld__(d,g(X0,X1)) ).
cnf(u222,axiom,
ld__(lilly,lkg) ).
cnf(u817,negated_conjecture,
( sP0(X0,X1,X2)
| ~ ld__(X1,lkg)
| ~ p(X0,X1,X2)
| ~ ld__(X0,h(d))
| ~ ld__(X2,c)
| ~ ld__(X1,w) ) ).
cnf(u2196,negated_conjecture,
( ~ p(X1,X0,X2)
| ~ ld__(X0,lkg)
| ~ ld__(X0,g(e,e))
| ~ ld__(X2,c)
| ~ ld__(X2,b)
| ~ ld__(X2,g(b,b))
| ~ ld__(X0,a) ) ).
cnf(u600,negated_conjecture,
( sP0(X2,X1,X0)
| ~ ld__(X1,lkg)
| ~ p(X2,X1,X0)
| ~ ld__(X0,k)
| ~ ld__(X2,a)
| ~ ld__(X0,b)
| ~ ld__(X2,h(d)) ) ).
cnf(u221,axiom,
ld__(horse,lkg) ).
cnf(u1544,negated_conjecture,
( ~ p(X1,X0,X2)
| ~ ld__(X0,lkg)
| ~ ld__(X2,k)
| ~ ld__(X2,c)
| ~ ld__(X2,b)
| ~ ld__(X0,g(a,c))
| ~ ld__(X2,a) ) ).
cnf(u1161,negated_conjecture,
( sP0(X1,X0,X2)
| ~ ld__(X1,k)
| ~ p(X1,X0,X2)
| ~ ld__(X0,g(e,e))
| ~ ld__(X0,b)
| ~ ld__(X1,g(e,e))
| ~ ld__(X0,g(a,c)) ) ).
cnf(u607,negated_conjecture,
( sP1(X0,X1,X2)
| ~ ld__(X2,k)
| ~ ld__(X2,hill)
| ~ p(X0,X1,X2)
| sP0(X0,X1,X2)
| ~ ld__(X1,b)
| ~ ld__(X0,g(e,e)) ) ).
cnf(u208,axiom,
ld__(cow,hill) ).
cnf(u956,negated_conjecture,
( sP0(X1,X0,X2)
| ~ ld__(X1,k)
| ~ p(X1,X0,X2)
| ~ ld__(X0,g(e,e))
| ~ ld__(X0,b)
| ~ ld__(X0,w)
| ~ ld__(X2,g(b,b)) ) ).
cnf(u215,axiom,
ld__(horse,k) ).
cnf(u563,negated_conjecture,
( sP2(X1,X0,X2)
| ~ p(X1,X0,X2)
| ~ ld__(X0,g(e,e))
| ~ ld__(X0,lkg)
| sP1(X1,X0,X2)
| sP0(X1,X0,X2)
| ~ ld__(X1,a) ) ).
cnf(u752,negated_conjecture,
( ~ p(X0,X1,X2)
| ~ ld__(X0,k)
| ~ ld__(X0,h(d))
| ~ ld__(X0,a)
| ~ ld__(X1,w) ) ).
cnf(u887,negated_conjecture,
( sP0(X0,X1,X2)
| ~ p(X0,X1,X2)
| ~ ld__(X2,k)
| ~ ld__(X0,a)
| ~ ld__(X0,g(e,e))
| ~ ld__(X0,k)
| ~ ld__(X1,g(a,c)) ) ).
cnf(u202,axiom,
ld__(cow,h(X0)) ).
cnf(u171,axiom,
ld__(aparna,b) ).
cnf(u596,negated_conjecture,
( sP1(X0,X1,X2)
| ~ ld__(X2,k)
| ~ ld__(X1,lkg)
| ~ p(X0,X1,X2)
| sP0(X0,X1,X2)
| ~ ld__(X2,c)
| ~ ld__(X1,w) ) ).
cnf(u201,axiom,
ld__(aparna,h(X0)) ).
cnf(u2468,negated_conjecture,
( ~ p(X1,X0,X2)
| ~ ld__(X0,lkg)
| ~ ld__(X0,g(e,e))
| ~ ld__(X0,b)
| ~ ld__(X1,g(e,e))
| ~ ld__(X0,g(a,c))
| ~ ld__(X2,a) ) ).
cnf(u174,axiom,
ld__(lilly,b) ).
cnf(u1897,negated_conjecture,
( ~ p(X1,X2,X0)
| ~ ld__(X1,k)
| ~ ld__(X1,g(e,e))
| ~ ld__(X0,k)
| ~ ld__(X0,c)
| ~ ld__(X2,g(a,c))
| ~ ld__(X2,a) ) ).
cnf(u204,axiom,
ld__(lilly,h(X0)) ).
cnf(u283,axiom,
ld__(lkg,hill) ).
cnf(u911,negated_conjecture,
( ~ p(X1,X0,X2)
| ~ ld__(X0,lkg)
| ~ ld__(X1,h(d))
| ~ ld__(X1,a)
| ~ ld__(X0,w) ) ).
cnf(u1072,negated_conjecture,
( sP0(X2,X0,X1)
| ~ ld__(X1,hill)
| ~ p(X2,X0,X1)
| ~ ld__(X0,g(e,e))
| ~ ld__(X1,c)
| ~ ld__(X0,w)
| ~ ld__(X1,g(b,b)) ) ).
cnf(u1204,negated_conjecture,
( sP0(X2,X0,X1)
| ~ ld__(X1,hill)
| ~ p(X2,X0,X1)
| ~ ld__(X0,g(e,e))
| ~ ld__(X2,a)
| ~ ld__(X2,g(e,e))
| ~ ld__(X1,g(b,b)) ) ).
cnf(u195,axiom,
ld__(aparna,g(X0,X1)) ).
cnf(u748,negated_conjecture,
( sP0(X0,X1,X2)
| ~ ld__(X0,k)
| ~ p(X0,X1,X2)
| ~ ld__(X0,h(d))
| ~ ld__(X0,a)
| ~ ld__(X1,w) ) ).
cnf(u321,negated_conjecture,
( sP3(X0,X2,X1)
| ~ ld__(X1,hill)
| ~ p(X0,X2,X1)
| ~ ld__(X0,h(d))
| sP2(X0,X2,X1)
| sP1(X0,X2,X1)
| sP0(X0,X2,X1) ) ).
cnf(u198,axiom,
ld__(lilly,g(X0,X1)) ).
cnf(u167,axiom,
ld__(horse,a) ).
cnf(u197,axiom,
ld__(horse,g(X0,X1)) ).
cnf(u2447,negated_conjecture,
( ~ p(X1,X0,X2)
| ~ ld__(X0,lkg)
| ~ ld__(X0,g(e,e))
| ~ ld__(X1,a)
| ~ ld__(X1,g(e,e))
| ~ ld__(X0,g(a,c)) ) ).
cnf(u2539,negated_conjecture,
( ~ p(X1,X2,X0)
| ~ ld__(X0,hill)
| ~ ld__(X2,g(e,e))
| ~ ld__(X0,c)
| ~ ld__(X1,g(e,e))
| ~ ld__(X2,g(a,c))
| ~ ld__(X0,a) ) ).
cnf(u990,negated_conjecture,
( sP0(X1,X0,X2)
| ~ ld__(X0,lkg)
| ~ p(X1,X0,X2)
| ~ ld__(X0,g(e,e))
| ~ ld__(X1,a)
| ~ ld__(X0,w)
| ~ ld__(X2,g(b,b)) ) ).
cnf(u314,negated_conjecture,
( sP1(X1,X2,X0)
| ~ p(X1,X2,X0)
| ~ ld__(X0,k)
| ~ ld__(X1,k)
| ~ ld__(X0,b)
| sP0(X1,X2,X0)
| ~ ld__(X0,c) ) ).
cnf(u447,negated_conjecture,
( sP1(X0,X1,X2)
| ~ ld__(X0,k)
| ~ p(X0,X1,X2)
| ~ ld__(X2,k)
| ~ ld__(X1,b)
| ~ ld__(X0,g(e,e))
| sP0(X0,X1,X2) ) ).
cnf(u913,negated_conjecture,
( sP0(X2,X1,X0)
| ~ ld__(X1,lkg)
| ~ p(X2,X1,X0)
| ~ ld__(X0,k)
| ~ ld__(X2,a)
| ~ ld__(X2,g(e,e))
| ~ ld__(X0,g(b,b)) ) ).
cnf(u539,negated_conjecture,
( sP2(X1,X0,X2)
| ~ p(X1,X0,X2)
| ~ ld__(X1,h(d))
| ~ ld__(X0,lkg)
| sP1(X1,X0,X2)
| sP0(X1,X0,X2)
| ~ ld__(X2,c) ) ).
cnf(u1531,negated_conjecture,
( ~ p(X1,X0,X2)
| ~ ld__(X0,lkg)
| ~ ld__(X2,k)
| ~ ld__(X2,c)
| ~ ld__(X0,w)
| ~ ld__(X0,g(a,c))
| ~ ld__(X2,a) ) ).
cnf(u863,negated_conjecture,
( sP0(X0,X2,X1)
| ~ ld__(X1,hill)
| ~ p(X0,X2,X1)
| ~ ld__(X0,h(d))
| ~ ld__(X2,b)
| ~ ld__(X1,b) ) ).
cnf(u2179,negated_conjecture,
( ~ p(X1,X0,X2)
| ~ ld__(X0,lkg)
| ~ ld__(X0,g(e,e))
| ~ ld__(X0,b)
| ~ ld__(X2,b)
| ~ ld__(X2,g(b,b))
| ~ ld__(X2,a) ) ).
cnf(u316,negated_conjecture,
( sP1(X1,X0,X2)
| ~ p(X1,X0,X2)
| ~ ld__(X2,k)
| ~ ld__(X1,k)
| ~ ld__(X0,w)
| sP0(X1,X0,X2)
| ~ ld__(X2,c) ) ).
cnf(u1613,negated_conjecture,
( ~ p(X1,X2,X0)
| ~ ld__(X0,hill)
| ~ ld__(X0,k)
| ~ ld__(X2,b)
| ~ ld__(X0,b)
| ~ ld__(X0,g(b,b))
| ~ ld__(X0,a) ) ).
cnf(u210,axiom,
ld__(lilly,hill) ).
cnf(u2231,negated_conjecture,
( ~ p(X1,X2,X0)
| ~ ld__(X0,hill)
| ~ ld__(X2,g(e,e))
| ~ ld__(X1,a)
| ~ ld__(X0,b)
| ~ ld__(X0,g(b,b)) ) ).
cnf(u496,negated_conjecture,
( sP2(X1,X2,X0)
| ~ p(X1,X2,X0)
| ~ ld__(X0,k)
| ~ ld__(X0,hill)
| sP1(X1,X2,X0)
| sP0(X1,X2,X0)
| ~ ld__(X2,b) ) ).
cnf(u2520,negated_conjecture,
( ~ p(X1,X2,X0)
| ~ ld__(X0,hill)
| ~ ld__(X2,g(e,e))
| ~ ld__(X2,b)
| ~ ld__(X1,g(e,e))
| ~ ld__(X2,g(a,c))
| ~ ld__(X0,a) ) ).
cnf(u528,negated_conjecture,
( sP2(X0,X1,X2)
| ~ p(X0,X1,X2)
| ~ ld__(X0,h(d))
| ~ ld__(X0,k)
| sP1(X0,X1,X2)
| sP0(X0,X1,X2)
| ~ ld__(X1,b) ) ).
cnf(u2440,negated_conjecture,
( ~ p(X0,X1,X2)
| ~ ld__(X0,k)
| ~ ld__(X1,g(e,e))
| ~ ld__(X2,c)
| ~ ld__(X0,g(e,e))
| ~ ld__(X1,g(a,c))
| ~ ld__(X2,a) ) ).
cnf(u2170,negated_conjecture,
( ~ p(X1,X0,X2)
| ~ ld__(X0,lkg)
| ~ ld__(X0,g(e,e))
| ~ ld__(X0,b)
| ~ ld__(X2,b)
| ~ ld__(X0,g(a,c))
| ~ ld__(X2,a) ) ).
cnf(u935,negated_conjecture,
( sP0(X1,X2,X0)
| ~ ld__(X0,hill)
| ~ p(X1,X2,X0)
| ~ ld__(X0,k)
| ~ ld__(X2,b)
| ~ ld__(X1,g(e,e))
| ~ ld__(X0,g(b,b)) ) ).
cnf(u271,axiom,
ld__(lkg,e) ).
cnf(u2443,negated_conjecture,
( ~ p(X0,X1,X2)
| ~ ld__(X0,k)
| ~ ld__(X1,g(e,e))
| ~ ld__(X2,c)
| ~ ld__(X0,g(e,e))
| ~ ld__(X2,g(b,b))
| ~ ld__(X2,a) ) ).
cnf(u296,axiom,
( ~ sP2(X0,X1,X2)
| ~ ld__(X1,w) ) ).
cnf(u1603,negated_conjecture,
( ~ p(X1,X2,X0)
| ~ ld__(X0,hill)
| ~ ld__(X0,k)
| ~ ld__(X2,b)
| ~ ld__(X0,b)
| ~ ld__(X2,g(a,c))
| ~ ld__(X0,a) ) ).
cnf(u770,negated_conjecture,
( sP0(X0,X1,X2)
| ~ ld__(X0,k)
| ~ p(X0,X1,X2)
| ~ ld__(X0,h(d))
| ~ ld__(X1,b)
| ~ ld__(X2,b) ) ).
cnf(u451,negated_conjecture,
( sP0(X1,X2,X0)
| ~ p(X1,X2,X0)
| ~ ld__(X0,k)
| ~ ld__(X1,k)
| ~ ld__(X2,w)
| ~ ld__(X0,g(b,b))
| ~ ld__(X0,c) ) ).
cnf(u1943,negated_conjecture,
( ~ p(X1,X0,X2)
| ~ ld__(X0,lkg)
| ~ ld__(X2,k)
| ~ ld__(X2,c)
| ~ ld__(X1,g(e,e))
| ~ ld__(X0,g(a,c))
| ~ ld__(X0,a) ) ).
cnf(u257,axiom,
ld__(d,c) ).
cnf(u290,axiom,
( ~ sP4(X0,X1,X2)
| ~ ld__(X1,g(e,e)) ) ).
cnf(u581,negated_conjecture,
( sP1(X0,X1,X2)
| ~ ld__(X2,k)
| ~ ld__(X1,lkg)
| ~ p(X0,X1,X2)
| sP0(X0,X1,X2)
| ~ ld__(X0,a)
| ~ ld__(X2,b) ) ).
cnf(u2103,negated_conjecture,
( ~ p(X0,X1,X2)
| ~ ld__(X0,k)
| ~ ld__(X1,g(e,e))
| ~ ld__(X2,c)
| ~ ld__(X2,b)
| ~ ld__(X2,g(b,b))
| ~ ld__(X2,a) ) ).
cnf(u259,axiom,
ld__(c,h(X0)) ).
cnf(u2439,negated_conjecture,
( ~ p(X0,X1,X2)
| ~ ld__(X0,k)
| ~ ld__(X1,g(e,e))
| ~ ld__(X2,c)
| ~ ld__(X0,g(e,e))
| ~ ld__(X1,g(a,c))
| ~ ld__(X1,a) ) ).
cnf(u922,negated_conjecture,
( sP0(X2,X1,X0)
| ~ ld__(X1,lkg)
| ~ p(X2,X1,X0)
| ~ ld__(X0,k)
| ~ ld__(X1,b)
| ~ ld__(X2,g(e,e))
| ~ ld__(X0,g(b,b)) ) ).
cnf(u1462,negated_conjecture,
( ~ p(X1,X0,X2)
| ~ ld__(X0,lkg)
| ~ ld__(X2,k)
| ~ ld__(X1,a)
| ~ ld__(X0,w)
| ~ ld__(X2,g(b,b)) ) ).
cnf(u292,axiom,
( ~ sP3(X0,X1,X2)
| ~ ld__(X2,c) ) ).
cnf(u2239,negated_conjecture,
( ~ p(X1,X2,X0)
| ~ ld__(X0,hill)
| ~ ld__(X2,g(e,e))
| ~ ld__(X2,b)
| ~ ld__(X2,w)
| ~ ld__(X2,g(a,c))
| ~ ld__(X2,a) ) ).
cnf(u193,axiom,
ld__(e,pet(X0)) ).
cnf(u2035,negated_conjecture,
( ~ p(X0,X1,X2)
| ~ ld__(X0,k)
| ~ ld__(X1,g(e,e))
| ~ ld__(X0,a)
| ~ ld__(X1,w)
| ~ ld__(X2,g(b,b)) ) ).
cnf(u2211,negated_conjecture,
( ~ p(X1,X2,X0)
| ~ ld__(X0,hill)
| ~ ld__(X2,g(e,e))
| ~ ld__(X1,a)
| ~ ld__(X2,w)
| ~ ld__(X0,g(b,b)) ) ).
cnf(u1223,negated_conjecture,
~ ld__(e,e) ).
cnf(u286,axiom,
ld__(k,w) ).
cnf(u689,negated_conjecture,
( sP1(X0,X1,X2)
| ~ ld__(X1,g(e,e))
| ~ ld__(X0,k)
| ~ p(X0,X1,X2)
| sP0(X0,X1,X2)
| ~ ld__(X1,b)
| ~ ld__(X2,b) ) ).
cnf(u856,negated_conjecture,
( sP0(X0,X2,X1)
| ~ ld__(X1,hill)
| ~ p(X0,X2,X1)
| ~ ld__(X0,h(d))
| ~ ld__(X2,b)
| ~ ld__(X2,w) ) ).
cnf(u2437,negated_conjecture,
( ~ p(X0,X1,X2)
| ~ ld__(X0,k)
| ~ ld__(X1,g(e,e))
| ~ ld__(X1,b)
| ~ ld__(X0,g(e,e))
| ~ ld__(X2,g(b,b))
| ~ ld__(X2,a) ) ).
cnf(u2085,negated_conjecture,
( ~ p(X0,X1,X2)
| ~ ld__(X0,k)
| ~ ld__(X1,g(e,e))
| ~ ld__(X2,c)
| ~ ld__(X1,w)
| ~ ld__(X2,g(b,b))
| ~ ld__(X2,a) ) ).
cnf(u2072,negated_conjecture,
( ~ p(X0,X1,X2)
| ~ ld__(X0,k)
| ~ ld__(X1,g(e,e))
| ~ ld__(X1,b)
| ~ ld__(X2,b)
| ~ ld__(X2,g(b,b))
| ~ ld__(X1,a) ) ).
cnf(u693,negated_conjecture,
( ~ p(X1,X0,X2)
| ~ ld__(X0,lkg)
| ~ ld__(X2,k)
| ~ ld__(X1,a)
| ~ ld__(X0,w)
| ~ ld__(X1,h(d)) ) ).
cnf(u1069,negated_conjecture,
( sP0(X2,X0,X1)
| ~ ld__(X1,hill)
| ~ p(X2,X0,X1)
| ~ ld__(X0,g(e,e))
| ~ ld__(X0,b)
| ~ ld__(X1,b)
| ~ ld__(X1,g(b,b)) ) ).
cnf(u946,negated_conjecture,
( sP0(X1,X0,X2)
| ~ ld__(X1,k)
| ~ p(X1,X0,X2)
| ~ ld__(X0,g(e,e))
| ~ ld__(X1,a)
| ~ ld__(X0,w)
| ~ ld__(X0,g(a,c)) ) ).
cnf(u1900,negated_conjecture,
( ~ p(X1,X2,X0)
| ~ ld__(X1,k)
| ~ ld__(X1,g(e,e))
| ~ ld__(X0,k)
| ~ ld__(X0,c)
| ~ ld__(X0,g(b,b))
| ~ ld__(X2,a) ) ).
cnf(u980,negated_conjecture,
( sP0(X1,X0,X2)
| ~ ld__(X1,k)
| ~ p(X1,X0,X2)
| ~ ld__(X0,g(e,e))
| ~ ld__(X2,c)
| ~ ld__(X2,b)
| ~ ld__(X2,g(b,b)) ) ).
cnf(u2066,negated_conjecture,
( ~ p(X0,X1,X2)
| ~ ld__(X0,k)
| ~ ld__(X1,g(e,e))
| ~ ld__(X1,b)
| ~ ld__(X1,w)
| ~ ld__(X2,g(b,b))
| ~ ld__(X1,a) ) ).
cnf(u162,axiom,
p(k,lkg,hill) ).
cnf(u1162,negated_conjecture,
( sP0(X1,X0,X2)
| ~ ld__(X1,k)
| ~ p(X1,X0,X2)
| ~ ld__(X0,g(e,e))
| ~ ld__(X0,b)
| ~ ld__(X1,g(e,e))
| ~ ld__(X2,g(b,b)) ) ).
cnf(u1540,negated_conjecture,
( ~ p(X1,X0,X2)
| ~ ld__(X0,lkg)
| ~ ld__(X2,k)
| ~ ld__(X2,c)
| ~ ld__(X0,w)
| ~ ld__(X2,g(b,b))
| ~ ld__(X0,a) ) ).
cnf(u666,negated_conjecture,
( ~ p(X0,X1,X2)
| ~ ld__(X0,k)
| ~ ld__(X2,k)
| ~ ld__(X1,b)
| ~ ld__(X2,b)
| ~ ld__(X0,h(d))
| ~ ld__(X2,a) ) ).
cnf(u164,axiom,
( ld__(X1,X0)
| ~ ld__(X0,X1) ) ).
cnf(u739,negated_conjecture,
( sP1(X0,X1,X2)
| ~ ld__(X1,g(e,e))
| ~ ld__(X2,hill)
| ~ p(X0,X1,X2)
| sP0(X0,X1,X2)
| ~ ld__(X1,b)
| ~ ld__(X0,g(e,e)) ) ).
cnf(u928,negated_conjecture,
( sP0(X1,X2,X0)
| ~ ld__(X0,hill)
| ~ p(X1,X2,X0)
| ~ ld__(X0,k)
| ~ ld__(X1,a)
| ~ ld__(X1,g(e,e))
| ~ ld__(X0,g(b,b)) ) ).
cnf(u665,negated_conjecture,
( ~ p(X0,X1,X2)
| ~ ld__(X0,k)
| ~ ld__(X2,k)
| ~ ld__(X1,b)
| ~ ld__(X2,b)
| ~ ld__(X0,h(d))
| ~ ld__(X1,a) ) ).
cnf(u638,negated_conjecture,
( sP1(X0,X1,X2)
| ~ ld__(X0,h(d))
| ~ ld__(X1,lkg)
| ~ p(X0,X1,X2)
| sP0(X0,X1,X2)
| ~ ld__(X0,a)
| ~ ld__(X1,w) ) ).
cnf(u1231,negated_conjecture,
( ~ p(X0,X1,X2)
| ~ ld__(X0,k)
| ~ ld__(X0,h(d))
| ~ ld__(X1,b)
| ~ ld__(X0,g(e,e))
| ~ ld__(X1,a) ) ).
cnf(u497,negated_conjecture,
( sP2(X1,X2,X0)
| ~ p(X1,X2,X0)
| ~ ld__(X0,k)
| ~ ld__(X0,hill)
| sP1(X1,X2,X0)
| sP0(X1,X2,X0)
| ~ ld__(X0,c) ) ).
cnf(u1441,negated_conjecture,
( ~ p(X0,X1,X2)
| ~ ld__(X0,k)
| ~ ld__(X2,k)
| ~ ld__(X1,b)
| ~ ld__(X2,b)
| ~ ld__(X1,g(a,c))
| ~ ld__(X2,a) ) ).
cnf(u634,negated_conjecture,
( sP0(X1,X2,X0)
| ~ ld__(X0,hill)
| ~ p(X1,X2,X0)
| ~ ld__(X0,k)
| ~ ld__(X1,a)
| ~ ld__(X0,b)
| ~ ld__(X2,g(a,c)) ) ).
cnf(u637,negated_conjecture,
( sP1(X0,X1,X2)
| ~ ld__(X0,h(d))
| ~ ld__(X1,lkg)
| ~ p(X0,X1,X2)
| sP0(X0,X1,X2)
| ~ ld__(X0,a)
| ~ ld__(X0,g(e,e)) ) ).
cnf(u628,negated_conjecture,
( sP0(X1,X2,X0)
| ~ ld__(X0,hill)
| ~ p(X1,X2,X0)
| ~ ld__(X0,k)
| ~ ld__(X1,a)
| ~ ld__(X2,w)
| ~ ld__(X2,g(a,c)) ) ).
cnf(u553,negated_conjecture,
( sP2(X0,X1,X2)
| ~ p(X0,X1,X2)
| ~ ld__(X1,g(e,e))
| ~ ld__(X0,k)
| sP1(X0,X1,X2)
| sP0(X0,X1,X2)
| ~ ld__(X0,a) ) ).
cnf(u2169,negated_conjecture,
( ~ p(X1,X0,X2)
| ~ ld__(X0,lkg)
| ~ ld__(X0,g(e,e))
| ~ ld__(X0,b)
| ~ ld__(X2,b)
| ~ ld__(X0,g(a,c))
| ~ ld__(X0,a) ) ).
cnf(u307,negated_conjecture,
( sP3(X1,X2,X0)
| ~ ld__(X1,k)
| ~ p(X1,X2,X0)
| ~ ld__(X0,k)
| sP2(X1,X2,X0)
| sP1(X1,X2,X0)
| sP0(X1,X2,X0) ) ).
cnf(u888,negated_conjecture,
( sP0(X0,X1,X2)
| ~ p(X0,X1,X2)
| ~ ld__(X2,k)
| ~ ld__(X0,a)
| ~ ld__(X0,g(e,e))
| ~ ld__(X0,k)
| ~ ld__(X2,g(b,b)) ) ).
cnf(u1934,negated_conjecture,
( ~ p(X1,X0,X2)
| ~ ld__(X0,lkg)
| ~ ld__(X2,k)
| ~ ld__(X0,b)
| ~ ld__(X1,g(e,e))
| ~ ld__(X2,g(b,b))
| ~ ld__(X2,a) ) ).
cnf(u1543,negated_conjecture,
( ~ p(X1,X0,X2)
| ~ ld__(X0,lkg)
| ~ ld__(X2,k)
| ~ ld__(X2,c)
| ~ ld__(X2,b)
| ~ ld__(X0,g(a,c))
| ~ ld__(X0,a) ) ).
cnf(u1421,negated_conjecture,
( ~ p(X0,X1,X2)
| ~ ld__(X0,k)
| ~ ld__(X2,k)
| ~ ld__(X1,b)
| ~ ld__(X1,w)
| ~ ld__(X1,g(a,c))
| ~ ld__(X2,a) ) ).
cnf(u1623,negated_conjecture,
( ~ p(X1,X2,X0)
| ~ ld__(X0,hill)
| ~ ld__(X0,k)
| ~ ld__(X0,c)
| ~ ld__(X2,w)
| ~ ld__(X2,g(a,c))
| ~ ld__(X0,a) ) ).
cnf(u1571,negated_conjecture,
( ~ p(X1,X2,X0)
| ~ ld__(X0,hill)
| ~ ld__(X0,k)
| ~ ld__(X1,a)
| ~ ld__(X0,b)
| ~ ld__(X2,g(a,c)) ) ).
cnf(u450,negated_conjecture,
( sP0(X1,X2,X0)
| ~ p(X1,X2,X0)
| ~ ld__(X0,k)
| ~ ld__(X1,a)
| ~ ld__(X1,k)
| ~ ld__(X0,g(b,b))
| ~ ld__(X2,w) ) ).
cnf(u617,negated_conjecture,
( sP0(X2,X1,X0)
| ~ ld__(X1,lkg)
| ~ p(X2,X1,X0)
| ~ ld__(X0,k)
| ~ ld__(X0,c)
| ~ ld__(X1,w)
| ~ ld__(X0,g(b,b)) ) ).
cnf(u493,negated_conjecture,
( ~ p(X0,X1,X2)
| ~ ld__(X2,k)
| ~ ld__(X0,k)
| ~ ld__(X1,w)
| ~ ld__(X0,h(d))
| ~ ld__(X2,c)
| ~ ld__(X1,a) ) ).
cnf(u1901,negated_conjecture,
( ~ p(X1,X2,X0)
| ~ ld__(X1,k)
| ~ ld__(X1,g(e,e))
| ~ ld__(X0,k)
| ~ ld__(X0,c)
| ~ ld__(X0,g(b,b))
| ~ ld__(X0,a) ) ).
cnf(u912,negated_conjecture,
( sP0(X2,X1,X0)
| ~ ld__(X1,lkg)
| ~ p(X2,X1,X0)
| ~ ld__(X0,k)
| ~ ld__(X2,a)
| ~ ld__(X2,g(e,e))
| ~ ld__(X1,g(a,c)) ) ).
cnf(u1194,negated_conjecture,
( sP0(X1,X0,X2)
| ~ ld__(X0,lkg)
| ~ p(X1,X0,X2)
| ~ ld__(X0,g(e,e))
| ~ ld__(X2,c)
| ~ ld__(X1,g(e,e))
| ~ ld__(X0,g(a,c)) ) ).
cnf(u724,negated_conjecture,
( sP1(X0,X1,X2)
| ~ ld__(X1,g(e,e))
| ~ ld__(X1,lkg)
| ~ p(X0,X1,X2)
| sP0(X0,X1,X2)
| ~ ld__(X2,c)
| ~ ld__(X1,w) ) ).
cnf(u452,negated_conjecture,
( sP0(X1,X2,X0)
| ~ ld__(X1,k)
| ~ p(X1,X2,X0)
| ~ ld__(X0,k)
| ~ ld__(X2,b)
| ~ ld__(X2,w)
| ~ ld__(X0,g(b,b)) ) ).
cnf(u1094,negated_conjecture,
( sP0(X0,X1,X2)
| ~ ld__(X0,k)
| ~ p(X0,X1,X2)
| ~ ld__(X0,h(d))
| ~ ld__(X1,b)
| ~ ld__(X0,g(e,e)) ) ).
cnf(u2191,negated_conjecture,
( ~ p(X1,X0,X2)
| ~ ld__(X0,lkg)
| ~ ld__(X0,g(e,e))
| ~ ld__(X2,c)
| ~ ld__(X0,w)
| ~ ld__(X2,g(b,b))
| ~ ld__(X2,a) ) ).
cnf(u2025,negated_conjecture,
( ~ p(X0,X1,X2)
| ~ ld__(X0,k)
| ~ ld__(X1,g(e,e))
| ~ ld__(X0,a)
| ~ ld__(X1,w)
| ~ ld__(X1,g(a,c)) ) ).
cnf(u1371,negated_conjecture,
( ~ p(X0,X1,X2)
| ~ ld__(X2,k)
| ~ ld__(X0,k)
| ~ ld__(X1,w)
| ~ ld__(X2,g(b,b))
| ~ ld__(X2,c)
| ~ ld__(X2,a) ) ).
cnf(u687,negated_conjecture,
( sP1(X0,X1,X2)
| ~ ld__(X1,g(e,e))
| ~ ld__(X0,k)
| ~ p(X0,X1,X2)
| sP0(X0,X1,X2)
| ~ ld__(X1,b)
| ~ ld__(X0,g(e,e)) ) ).
cnf(u1015,negated_conjecture,
( sP0(X1,X0,X2)
| ~ ld__(X0,lkg)
| ~ p(X1,X0,X2)
| ~ ld__(X0,g(e,e))
| ~ ld__(X0,b)
| ~ ld__(X2,b)
| ~ ld__(X2,g(b,b)) ) ).
cnf(u1915,negated_conjecture,
( ~ p(X1,X0,X2)
| ~ ld__(X0,lkg)
| ~ ld__(X2,k)
| ~ ld__(X1,a)
| ~ ld__(X1,g(e,e))
| ~ ld__(X2,g(b,b)) ) ).
cnf(u320,negated_conjecture,
( sP3(X0,X1,X2)
| ~ ld__(X1,lkg)
| ~ p(X0,X1,X2)
| ~ ld__(X0,h(d))
| sP2(X0,X1,X2)
| sP1(X0,X1,X2)
| sP0(X0,X1,X2) ) ).
cnf(u2519,negated_conjecture,
( ~ p(X1,X2,X0)
| ~ ld__(X0,hill)
| ~ ld__(X2,g(e,e))
| ~ ld__(X2,b)
| ~ ld__(X1,g(e,e))
| ~ ld__(X2,g(a,c))
| ~ ld__(X2,a) ) ).
cnf(u1180,negated_conjecture,
( sP0(X1,X0,X2)
| ~ ld__(X0,lkg)
| ~ p(X1,X0,X2)
| ~ ld__(X0,g(e,e))
| ~ ld__(X1,a)
| ~ ld__(X1,g(e,e))
| ~ ld__(X2,g(b,b)) ) ).
cnf(u251,axiom,
ld__(b,c) ).
cnf(u2143,negated_conjecture,
( ~ p(X1,X0,X2)
| ~ ld__(X0,lkg)
| ~ ld__(X0,g(e,e))
| ~ ld__(X1,a)
| ~ ld__(X2,b)
| ~ ld__(X2,g(b,b)) ) ).
cnf(u1653,negated_conjecture,
( ~ p(X1,X2,X0)
| ~ ld__(X0,hill)
| ~ ld__(X0,k)
| ~ ld__(X0,c)
| ~ ld__(X0,b)
| ~ ld__(X0,g(b,b))
| ~ ld__(X0,a) ) ).
cnf(u1383,negated_conjecture,
( ~ p(X0,X1,X2)
| ~ ld__(X2,k)
| ~ ld__(X0,k)
| ~ ld__(X2,b)
| ~ ld__(X2,g(b,b))
| ~ ld__(X2,c)
| ~ ld__(X2,a) ) ).
cnf(u254,axiom,
ld__(c,g(X0,X1)) ).
cnf(u667,negated_conjecture,
( sP1(X0,X1,X2)
| ~ ld__(X0,h(d))
| ~ ld__(X2,hill)
| ~ p(X0,X1,X2)
| sP0(X0,X1,X2)
| ~ ld__(X2,c)
| ~ ld__(X0,g(e,e)) ) ).
cnf(u632,negated_conjecture,
( sP1(X0,X1,X2)
| ~ ld__(X0,h(d))
| ~ ld__(X0,k)
| ~ p(X0,X1,X2)
| sP0(X0,X1,X2)
| ~ ld__(X2,c)
| ~ ld__(X1,w) ) ).
cnf(u253,axiom,
ld__(w,c) ).
cnf(u1203,negated_conjecture,
( sP0(X2,X0,X1)
| ~ ld__(X1,hill)
| ~ p(X2,X0,X1)
| ~ ld__(X0,g(e,e))
| ~ ld__(X2,a)
| ~ ld__(X2,g(e,e))
| ~ ld__(X0,g(a,c)) ) ).
cnf(u444,negated_conjecture,
( sP3(X1,X0,X2)
| ~ ld__(X0,lkg)
| ~ p(X1,X0,X2)
| ~ ld__(X0,g(e,e))
| sP2(X1,X0,X2)
| sP1(X1,X0,X2)
| sP0(X1,X0,X2) ) ).
cnf(u639,negated_conjecture,
( sP1(X0,X1,X2)
| ~ ld__(X0,h(d))
| ~ ld__(X1,lkg)
| ~ p(X0,X1,X2)
| sP0(X0,X1,X2)
| ~ ld__(X0,a)
| ~ ld__(X2,b) ) ).
cnf(u565,negated_conjecture,
( sP2(X1,X0,X2)
| ~ p(X1,X0,X2)
| ~ ld__(X0,g(e,e))
| ~ ld__(X0,lkg)
| sP1(X1,X0,X2)
| sP0(X1,X0,X2)
| ~ ld__(X2,c) ) ).
cnf(u1048,negated_conjecture,
( sP0(X2,X0,X1)
| ~ ld__(X1,hill)
| ~ p(X2,X0,X1)
| ~ ld__(X0,g(e,e))
| ~ ld__(X2,a)
| ~ ld__(X1,b)
| ~ ld__(X1,g(b,b)) ) ).
cnf(u635,negated_conjecture,
( sP0(X1,X2,X0)
| ~ ld__(X0,hill)
| ~ p(X1,X2,X0)
| ~ ld__(X0,k)
| ~ ld__(X1,a)
| ~ ld__(X0,b)
| ~ ld__(X0,g(b,b)) ) ).
cnf(u1440,negated_conjecture,
( ~ p(X0,X1,X2)
| ~ ld__(X0,k)
| ~ ld__(X2,k)
| ~ ld__(X1,b)
| ~ ld__(X2,b)
| ~ ld__(X1,g(a,c))
| ~ ld__(X1,a) ) ).
cnf(u272,axiom,
ld__(hill,e) ).
cnf(u247,axiom,
ld__(d,b) ).
cnf(u1055,negated_conjecture,
( sP0(X2,X0,X1)
| ~ ld__(X1,hill)
| ~ p(X2,X0,X1)
| ~ ld__(X0,g(e,e))
| ~ ld__(X0,b)
| ~ ld__(X0,w)
| ~ ld__(X1,g(b,b)) ) ).
cnf(u656,negated_conjecture,
( sP1(X0,X1,X2)
| ~ ld__(X0,h(d))
| ~ ld__(X2,hill)
| ~ p(X0,X1,X2)
| sP0(X0,X1,X2)
| ~ ld__(X0,a)
| ~ ld__(X1,w) ) ).
cnf(u2076,negated_conjecture,
( ~ p(X0,X1,X2)
| ~ ld__(X0,k)
| ~ ld__(X1,g(e,e))
| ~ ld__(X2,c)
| ~ ld__(X1,w)
| ~ ld__(X1,g(a,c))
| ~ ld__(X2,a) ) ).
cnf(u234,axiom,
ld__(w,a) ).
cnf(u663,negated_conjecture,
( sP1(X0,X1,X2)
| ~ ld__(X0,h(d))
| ~ ld__(X2,hill)
| ~ p(X0,X1,X2)
| sP0(X0,X1,X2)
| ~ ld__(X1,b)
| ~ ld__(X2,b) ) ).
cnf(u1390,negated_conjecture,
( ~ p(X0,X1,X2)
| ~ ld__(X2,k)
| ~ ld__(X0,a)
| ~ ld__(X0,k)
| ~ ld__(X1,g(a,c))
| ~ ld__(X2,b) ) ).
cnf(u266,axiom,
ld__(d,h(X0)) ).
cnf(u233,axiom,
( ld__(h(X0),h(X1))
| ~ ld__(X0,X1) ) ).
cnf(u619,negated_conjecture,
( sP1(X0,X1,X2)
| ~ ld__(X0,h(d))
| ~ ld__(X0,k)
| ~ p(X0,X1,X2)
| sP0(X0,X1,X2)
| ~ ld__(X0,a)
| ~ ld__(X0,g(e,e)) ) ).
cnf(u236,axiom,
ld__(lkg,a) ).
cnf(u443,negated_conjecture,
( sP3(X1,X0,X2)
| ~ ld__(X1,k)
| ~ p(X1,X0,X2)
| ~ ld__(X0,g(e,e))
| sP2(X1,X0,X2)
| sP1(X1,X0,X2)
| sP0(X1,X0,X2) ) ).
cnf(u242,axiom,
ld__(a,g(X0,X1)) ).
cnf(u268,axiom,
ld__(e,h(X0)) ).
cnf(u227,axiom,
ld__(horse,w) ).
cnf(u989,negated_conjecture,
( sP0(X1,X0,X2)
| ~ ld__(X0,lkg)
| ~ p(X1,X0,X2)
| ~ ld__(X0,g(e,e))
| ~ ld__(X1,a)
| ~ ld__(X0,w)
| ~ ld__(X0,g(a,c)) ) ).
cnf(u652,negated_conjecture,
( sP0(X1,X2,X0)
| ~ ld__(X0,hill)
| ~ p(X1,X2,X0)
| ~ ld__(X0,k)
| ~ ld__(X0,c)
| ~ ld__(X2,w)
| ~ ld__(X2,g(a,c)) ) ).
cnf(u230,axiom,
ld__(pig,w) ).
cnf(u1953,negated_conjecture,
( ~ p(X1,X0,X2)
| ~ ld__(X0,lkg)
| ~ ld__(X2,k)
| ~ ld__(X2,c)
| ~ ld__(X1,g(e,e))
| ~ ld__(X2,g(b,b))
| ~ ld__(X0,a) ) ).
cnf(u608,negated_conjecture,
( sP1(X0,X1,X2)
| ~ ld__(X2,k)
| ~ ld__(X2,hill)
| ~ p(X0,X1,X2)
| sP0(X0,X1,X2)
| ~ ld__(X1,b)
| ~ ld__(X1,w) ) ).
cnf(u229,axiom,
ld__(w,pet(X0)) ).
cnf(u1895,negated_conjecture,
( ~ p(X0,X1,X2)
| ~ ld__(X2,k)
| ~ ld__(X1,b)
| ~ ld__(X0,g(e,e))
| ~ ld__(X0,k)
| ~ ld__(X2,g(b,b))
| ~ ld__(X2,a) ) ).
cnf(u186,axiom,
ld__(lilly,d) ).
cnf(u2248,negated_conjecture,
( ~ p(X1,X2,X0)
| ~ ld__(X0,hill)
| ~ ld__(X2,g(e,e))
| ~ ld__(X2,b)
| ~ ld__(X2,w)
| ~ ld__(X0,g(b,b))
| ~ ld__(X2,a) ) ).
cnf(u615,negated_conjecture,
( sP1(X0,X1,X2)
| ~ ld__(X2,k)
| ~ ld__(X2,hill)
| ~ p(X0,X1,X2)
| sP0(X0,X1,X2)
| ~ ld__(X2,c)
| ~ ld__(X2,b) ) ).
cnf(u216,axiom,
ld__(lilly,k) ).
cnf(u1642,negated_conjecture,
( ~ p(X1,X2,X0)
| ~ ld__(X0,hill)
| ~ ld__(X0,k)
| ~ ld__(X0,c)
| ~ ld__(X0,b)
| ~ ld__(X2,g(a,c))
| ~ ld__(X2,a) ) ).
cnf(u185,axiom,
ld__(horse,d) ).
cnf(u2055,negated_conjecture,
( ~ p(X0,X1,X2)
| ~ ld__(X0,k)
| ~ ld__(X1,g(e,e))
| ~ ld__(X0,a)
| ~ ld__(X2,b)
| ~ ld__(X2,g(b,b)) ) ).
cnf(u223,axiom,
ld__(lkg,pet(X0)) ).
cnf(u571,negated_conjecture,
( sP2(X1,X2,X0)
| ~ p(X1,X2,X0)
| ~ ld__(X2,g(e,e))
| ~ ld__(X0,hill)
| sP1(X1,X2,X0)
| sP0(X1,X2,X0)
| ~ ld__(X0,c) ) ).
cnf(u188,axiom,
ld__(pig,d) ).
cnf(u662,negated_conjecture,
( sP1(X0,X1,X2)
| ~ ld__(X0,h(d))
| ~ ld__(X2,hill)
| ~ p(X0,X1,X2)
| sP0(X0,X1,X2)
| ~ ld__(X1,b)
| ~ ld__(X1,w) ) ).
cnf(u2093,negated_conjecture,
( ~ p(X0,X1,X2)
| ~ ld__(X0,k)
| ~ ld__(X1,g(e,e))
| ~ ld__(X2,c)
| ~ ld__(X2,b)
| ~ ld__(X1,g(a,c))
| ~ ld__(X1,a) ) ).
cnf(u179,axiom,
ld__(horse,c) ).
cnf(u1581,negated_conjecture,
( ~ p(X1,X2,X0)
| ~ ld__(X0,hill)
| ~ ld__(X0,k)
| ~ ld__(X1,a)
| ~ ld__(X0,b)
| ~ ld__(X0,g(b,b)) ) ).
cnf(u209,axiom,
ld__(horse,hill) ).
cnf(u1132,negated_conjecture,
( ~ p(X1,X2,X0)
| ~ ld__(X0,hill)
| ~ ld__(X1,h(d))
| ~ ld__(X2,b)
| ~ ld__(X0,b)
| ~ ld__(X0,a) ) ).
cnf(u182,axiom,
ld__(pig,c) ).
cnf(u309,negated_conjecture,
( sP3(X1,X2,X0)
| ~ ld__(X0,hill)
| ~ p(X1,X2,X0)
| ~ ld__(X0,k)
| sP2(X1,X2,X0)
| sP1(X1,X2,X0)
| sP0(X1,X2,X0) ) ).
cnf(u212,axiom,
ld__(pig,hill) ).
cnf(u181,axiom,
ld__(c,pet(X0)) ).
cnf(u203,axiom,
ld__(horse,h(X0)) ).
cnf(u567,negated_conjecture,
( ~ p(X0,X1,X2)
| ~ ld__(X2,k)
| ~ ld__(X0,k)
| ~ ld__(X2,b)
| ~ ld__(X0,h(d))
| ~ ld__(X2,c)
| ~ ld__(X1,a) ) ).
cnf(u168,axiom,
ld__(lilly,a) ).
cnf(u303,axiom,
( ~ sP0(X0,X1,X2)
| ~ ld__(X0,a) ) ).
cnf(u629,negated_conjecture,
( sP0(X1,X2,X0)
| ~ ld__(X0,hill)
| ~ p(X1,X2,X0)
| ~ ld__(X0,k)
| ~ ld__(X1,a)
| ~ ld__(X2,w)
| ~ ld__(X0,g(b,b)) ) ).
cnf(u175,axiom,
ld__(b,pet(X0)) ).
cnf(u1273,negated_conjecture,
( ~ p(X1,X2,X0)
| ~ ld__(X0,hill)
| ~ ld__(X1,h(d))
| ~ ld__(X1,a)
| ~ ld__(X1,g(e,e)) ) ).
cnf(u802,negated_conjecture,
( ~ p(X0,X1,X2)
| ~ ld__(X0,k)
| ~ ld__(X0,h(d))
| ~ ld__(X1,b)
| ~ ld__(X1,w)
| ~ ld__(X1,a) ) ).
cnf(u641,negated_conjecture,
( sP0(X1,X2,X0)
| ~ ld__(X0,hill)
| ~ p(X1,X2,X0)
| ~ ld__(X0,k)
| ~ ld__(X2,b)
| ~ ld__(X2,w)
| ~ ld__(X0,g(b,b)) ) ).
cnf(u947,negated_conjecture,
( sP0(X1,X0,X2)
| ~ ld__(X1,k)
| ~ p(X1,X0,X2)
| ~ ld__(X0,g(e,e))
| ~ ld__(X1,a)
| ~ ld__(X0,w)
| ~ ld__(X2,g(b,b)) ) ).
cnf(u614,negated_conjecture,
( sP1(X0,X1,X2)
| ~ ld__(X2,k)
| ~ ld__(X2,hill)
| ~ p(X0,X1,X2)
| sP0(X0,X1,X2)
| ~ ld__(X2,c)
| ~ ld__(X1,w) ) ).
cnf(u965,negated_conjecture,
( sP0(X1,X0,X2)
| ~ ld__(X1,k)
| ~ p(X1,X0,X2)
| ~ ld__(X0,g(e,e))
| ~ ld__(X0,b)
| ~ ld__(X2,b)
| ~ ld__(X2,g(b,b)) ) ).
cnf(u289,axiom,
( ~ sP4(X0,X1,X2)
| ~ ld__(X2,k) ) ).
cnf(u2063,negated_conjecture,
( ~ p(X0,X1,X2)
| ~ ld__(X0,k)
| ~ ld__(X1,g(e,e))
| ~ ld__(X1,b)
| ~ ld__(X1,w)
| ~ ld__(X1,g(a,c))
| ~ ld__(X1,a) ) ).
cnf(u161,axiom,
p(h(d),g(e,e),k) ).
cnf(u921,negated_conjecture,
( sP0(X2,X1,X0)
| ~ ld__(X1,lkg)
| ~ p(X2,X1,X0)
| ~ ld__(X0,k)
| ~ ld__(X1,b)
| ~ ld__(X2,g(e,e))
| ~ ld__(X1,g(a,c)) ) ).
cnf(u2070,negated_conjecture,
( ~ p(X0,X1,X2)
| ~ ld__(X0,k)
| ~ ld__(X1,g(e,e))
| ~ ld__(X1,b)
| ~ ld__(X2,b)
| ~ ld__(X1,g(a,c))
| ~ ld__(X2,a) ) ).
cnf(u954,negated_conjecture,
( ~ p(X1,X0,X2)
| ~ ld__(X0,lkg)
| ~ ld__(X1,h(d))
| ~ ld__(X0,b)
| ~ ld__(X0,w)
| ~ ld__(X2,a) ) ).
cnf(u1245,negated_conjecture,
( ~ p(X1,X0,X2)
| ~ ld__(X0,lkg)
| ~ ld__(X1,h(d))
| ~ ld__(X1,a)
| ~ ld__(X1,g(e,e)) ) ).
cnf(u569,negated_conjecture,
( sP2(X1,X2,X0)
| ~ p(X1,X2,X0)
| ~ ld__(X2,g(e,e))
| ~ ld__(X0,hill)
| sP1(X1,X2,X0)
| sP0(X1,X2,X0)
| ~ ld__(X1,a) ) ).
cnf(u766,negated_conjecture,
( sP0(X0,X1,X2)
| ~ ld__(X0,k)
| ~ p(X0,X1,X2)
| ~ ld__(X0,h(d))
| ~ ld__(X1,b)
| ~ ld__(X1,w) ) ).
cnf(u2152,negated_conjecture,
( ~ p(X1,X0,X2)
| ~ ld__(X0,lkg)
| ~ ld__(X0,g(e,e))
| ~ ld__(X0,b)
| ~ ld__(X0,w)
| ~ ld__(X0,g(a,c))
| ~ ld__(X2,a) ) ).
cnf(u1418,negated_conjecture,
( ~ p(X0,X1,X2)
| ~ ld__(X2,k)
| ~ ld__(X0,k)
| ~ ld__(X1,w)
| ~ ld__(X1,g(a,c))
| ~ ld__(X2,c)
| ~ ld__(X2,a) ) ).
cnf(u827,negated_conjecture,
( sP0(X0,X1,X2)
| ~ ld__(X1,lkg)
| ~ p(X0,X1,X2)
| ~ ld__(X0,h(d))
| ~ ld__(X2,c)
| ~ ld__(X2,b) ) ).
cnf(u594,negated_conjecture,
( sP0(X2,X1,X0)
| ~ ld__(X1,lkg)
| ~ p(X2,X1,X0)
| ~ ld__(X0,k)
| ~ ld__(X2,a)
| ~ ld__(X1,w)
| ~ ld__(X2,h(d)) ) ).
cnf(u285,axiom,
ld__(hill,w) ).
cnf(u1430,negated_conjecture,
( ~ p(X0,X1,X2)
| ~ ld__(X2,k)
| ~ ld__(X0,k)
| ~ ld__(X2,b)
| ~ ld__(X1,g(a,c))
| ~ ld__(X2,c)
| ~ ld__(X1,a) ) ).
cnf(u318,negated_conjecture,
( sP1(X0,X1,X2)
| ~ p(X0,X1,X2)
| ~ ld__(X2,k)
| ~ ld__(X0,a)
| ~ ld__(X0,k)
| sP0(X0,X1,X2)
| ~ ld__(X2,b) ) ).
cnf(u593,negated_conjecture,
( sP0(X2,X1,X0)
| ~ ld__(X1,lkg)
| ~ p(X2,X1,X0)
| ~ ld__(X0,k)
| ~ ld__(X2,a)
| ~ ld__(X1,w)
| ~ ld__(X0,g(b,b)) ) ).
cnf(u1954,negated_conjecture,
( ~ p(X1,X0,X2)
| ~ ld__(X0,lkg)
| ~ ld__(X2,k)
| ~ ld__(X2,c)
| ~ ld__(X1,g(e,e))
| ~ ld__(X2,g(b,b))
| ~ ld__(X2,a) ) ).
cnf(u1195,negated_conjecture,
( sP0(X1,X0,X2)
| ~ ld__(X0,lkg)
| ~ p(X1,X0,X2)
| ~ ld__(X0,g(e,e))
| ~ ld__(X2,c)
| ~ ld__(X1,g(e,e))
| ~ ld__(X2,g(b,b)) ) ).
cnf(u172,axiom,
ld__(cow,b) ).
cnf(u950,negated_conjecture,
( sP0(X1,X0,X2)
| ~ ld__(X1,k)
| ~ p(X1,X0,X2)
| ~ ld__(X0,g(e,e))
| ~ ld__(X1,a)
| ~ ld__(X2,b)
| ~ ld__(X2,g(b,b)) ) ).
cnf(u279,axiom,
ld__(lkg,h(X0)) ).
cnf(u1944,negated_conjecture,
( ~ p(X1,X0,X2)
| ~ ld__(X0,lkg)
| ~ ld__(X2,k)
| ~ ld__(X2,c)
| ~ ld__(X1,g(e,e))
| ~ ld__(X0,g(a,c))
| ~ ld__(X2,a) ) ).
cnf(u609,negated_conjecture,
( sP1(X0,X1,X2)
| ~ ld__(X2,k)
| ~ ld__(X2,hill)
| ~ p(X0,X1,X2)
| sP0(X0,X1,X2)
| ~ ld__(X1,b)
| ~ ld__(X2,b) ) ).
cnf(u873,negated_conjecture,
( sP0(X0,X2,X1)
| ~ ld__(X1,hill)
| ~ p(X0,X2,X1)
| ~ ld__(X0,h(d))
| ~ ld__(X1,c)
| ~ ld__(X2,w) ) ).
cnf(u1228,negated_conjecture,
( sP0(X2,X0,X1)
| ~ ld__(X1,hill)
| ~ p(X2,X0,X1)
| ~ ld__(X0,g(e,e))
| ~ ld__(X1,c)
| ~ ld__(X2,g(e,e))
| ~ ld__(X1,g(b,b)) ) ).
cnf(u778,negated_conjecture,
( ~ p(X0,X1,X2)
| ~ ld__(X0,k)
| ~ ld__(X0,h(d))
| ~ ld__(X0,a)
| ~ ld__(X2,b) ) ).
cnf(u1592,negated_conjecture,
( ~ p(X1,X2,X0)
| ~ ld__(X0,hill)
| ~ ld__(X0,k)
| ~ ld__(X2,b)
| ~ ld__(X2,w)
| ~ ld__(X0,g(b,b))
| ~ ld__(X2,a) ) ).
cnf(u590,negated_conjecture,
( sP1(X0,X1,X2)
| ~ ld__(X2,k)
| ~ ld__(X1,lkg)
| ~ p(X0,X1,X2)
| sP0(X0,X1,X2)
| ~ ld__(X1,b)
| ~ ld__(X1,w) ) ).
cnf(u2434,negated_conjecture,
( ~ p(X0,X1,X2)
| ~ ld__(X0,k)
| ~ ld__(X1,g(e,e))
| ~ ld__(X1,b)
| ~ ld__(X0,g(e,e))
| ~ ld__(X1,g(a,c))
| ~ ld__(X2,a) ) ).
cnf(u265,axiom,
ld__(d,w) ).
cnf(u1521,negated_conjecture,
( ~ p(X1,X0,X2)
| ~ ld__(X0,lkg)
| ~ ld__(X2,k)
| ~ ld__(X0,b)
| ~ ld__(X2,b)
| ~ ld__(X2,g(b,b))
| ~ ld__(X2,a) ) ).
cnf(u589,negated_conjecture,
( sP1(X0,X1,X2)
| ~ ld__(X2,k)
| ~ ld__(X1,lkg)
| ~ p(X0,X1,X2)
| sP0(X0,X1,X2)
| ~ ld__(X1,b)
| ~ ld__(X0,g(e,e)) ) ).
cnf(u2470,negated_conjecture,
( ~ p(X1,X0,X2)
| ~ ld__(X0,lkg)
| ~ ld__(X0,g(e,e))
| ~ ld__(X0,b)
| ~ ld__(X1,g(e,e))
| ~ ld__(X2,g(b,b))
| ~ ld__(X0,a) ) ).
cnf(u897,negated_conjecture,
( sP0(X0,X1,X2)
| ~ p(X0,X1,X2)
| ~ ld__(X2,k)
| ~ ld__(X1,b)
| ~ ld__(X0,g(e,e))
| ~ ld__(X0,k)
| ~ ld__(X2,g(b,b)) ) ).
cnf(u2160,negated_conjecture,
( ~ p(X1,X0,X2)
| ~ ld__(X0,lkg)
| ~ ld__(X0,g(e,e))
| ~ ld__(X0,b)
| ~ ld__(X0,w)
| ~ ld__(X2,g(b,b))
| ~ ld__(X0,a) ) ).
cnf(u1028,negated_conjecture,
( ~ p(X1,X0,X2)
| ~ ld__(X0,lkg)
| ~ ld__(X1,h(d))
| ~ ld__(X2,c)
| ~ ld__(X2,b)
| ~ ld__(X2,a) ) ).
cnf(u545,negated_conjecture,
( sP2(X1,X2,X0)
| ~ p(X1,X2,X0)
| ~ ld__(X1,h(d))
| ~ ld__(X0,hill)
| sP1(X1,X2,X0)
| sP0(X1,X2,X0)
| ~ ld__(X0,c) ) ).
cnf(u463,negated_conjecture,
( sP0(X1,X0,X2)
| ~ p(X1,X0,X2)
| ~ ld__(X2,k)
| ~ ld__(X1,k)
| ~ ld__(X2,b)
| ~ ld__(X0,g(a,c))
| ~ ld__(X2,c) ) ).
cnf(u1147,negated_conjecture,
( sP0(X0,X2,X1)
| ~ ld__(X1,hill)
| ~ p(X0,X2,X1)
| ~ ld__(X0,h(d))
| ~ ld__(X1,c)
| ~ ld__(X0,g(e,e)) ) ).
cnf(u2014,negated_conjecture,
( ~ p(X1,X2,X0)
| ~ ld__(X0,hill)
| ~ ld__(X0,k)
| ~ ld__(X0,c)
| ~ ld__(X1,g(e,e))
| ~ ld__(X0,g(b,b))
| ~ ld__(X0,a) ) ).
cnf(u774,negated_conjecture,
( sP0(X0,X1,X2)
| ~ ld__(X0,k)
| ~ p(X0,X1,X2)
| ~ ld__(X0,h(d))
| ~ ld__(X2,c)
| ~ ld__(X1,w) ) ).
cnf(u1632,negated_conjecture,
( ~ p(X1,X2,X0)
| ~ ld__(X0,hill)
| ~ ld__(X0,k)
| ~ ld__(X0,c)
| ~ ld__(X2,w)
| ~ ld__(X0,g(b,b))
| ~ ld__(X2,a) ) ).
cnf(u1501,negated_conjecture,
( ~ p(X1,X0,X2)
| ~ ld__(X0,lkg)
| ~ ld__(X2,k)
| ~ ld__(X0,b)
| ~ ld__(X0,w)
| ~ ld__(X2,g(b,b))
| ~ ld__(X2,a) ) ).
cnf(u261,axiom,
ld__(lkg,d) ).
cnf(u643,negated_conjecture,
( sP1(X0,X1,X2)
| ~ ld__(X0,h(d))
| ~ ld__(X1,lkg)
| ~ p(X0,X1,X2)
| sP0(X0,X1,X2)
| ~ ld__(X1,b)
| ~ ld__(X0,g(e,e)) ) ).
cnf(u653,negated_conjecture,
( sP0(X1,X2,X0)
| ~ ld__(X0,hill)
| ~ p(X1,X2,X0)
| ~ ld__(X0,k)
| ~ ld__(X0,c)
| ~ ld__(X2,w)
| ~ ld__(X0,g(b,b)) ) ).
cnf(u542,negated_conjecture,
( ~ p(X0,X1,X2)
| ~ ld__(X0,k)
| ~ ld__(X2,k)
| ~ ld__(X1,b)
| ~ ld__(X1,w)
| ~ ld__(X0,h(d))
| ~ ld__(X2,a) ) ).
cnf(u1171,negated_conjecture,
( sP0(X1,X0,X2)
| ~ ld__(X1,k)
| ~ p(X1,X0,X2)
| ~ ld__(X0,g(e,e))
| ~ ld__(X2,c)
| ~ ld__(X1,g(e,e))
| ~ ld__(X2,g(b,b)) ) ).
cnf(u1024,negated_conjecture,
( sP0(X1,X0,X2)
| ~ ld__(X0,lkg)
| ~ p(X1,X0,X2)
| ~ ld__(X0,g(e,e))
| ~ ld__(X2,c)
| ~ ld__(X0,w)
| ~ ld__(X2,g(b,b)) ) ).
cnf(u1386,negated_conjecture,
( ~ p(X0,X1,X2)
| ~ ld__(X0,k)
| ~ ld__(X2,k)
| ~ ld__(X1,b)
| ~ ld__(X2,b)
| ~ ld__(X2,g(b,b))
| ~ ld__(X2,a) ) ).
cnf(u1924,negated_conjecture,
( ~ p(X1,X0,X2)
| ~ ld__(X0,lkg)
| ~ ld__(X2,k)
| ~ ld__(X0,b)
| ~ ld__(X1,g(e,e))
| ~ ld__(X0,g(a,c))
| ~ ld__(X2,a) ) ).
cnf(u644,negated_conjecture,
( sP1(X0,X1,X2)
| ~ ld__(X0,h(d))
| ~ ld__(X1,lkg)
| ~ p(X0,X1,X2)
| sP0(X0,X1,X2)
| ~ ld__(X1,b)
| ~ ld__(X1,w) ) ).
cnf(u1511,negated_conjecture,
( ~ p(X1,X0,X2)
| ~ ld__(X0,lkg)
| ~ ld__(X2,k)
| ~ ld__(X0,b)
| ~ ld__(X2,b)
| ~ ld__(X0,g(a,c))
| ~ ld__(X2,a) ) ).
cnf(u1408,negated_conjecture,
( ~ p(X0,X1,X2)
| ~ ld__(X2,k)
| ~ ld__(X0,a)
| ~ ld__(X0,k)
| ~ ld__(X1,g(a,c))
| ~ ld__(X1,w) ) ).
cnf(u2094,negated_conjecture,
( ~ p(X0,X1,X2)
| ~ ld__(X0,k)
| ~ ld__(X1,g(e,e))
| ~ ld__(X2,c)
| ~ ld__(X2,b)
| ~ ld__(X1,g(a,c))
| ~ ld__(X2,a) ) ).
cnf(u1882,negated_conjecture,
( ~ p(X0,X1,X2)
| ~ ld__(X2,k)
| ~ ld__(X0,a)
| ~ ld__(X0,g(e,e))
| ~ ld__(X0,k)
| ~ ld__(X2,g(b,b)) ) ).
cnf(u792,negated_conjecture,
( sP0(X0,X1,X2)
| ~ ld__(X1,lkg)
| ~ p(X0,X1,X2)
| ~ ld__(X0,h(d))
| ~ ld__(X0,a)
| ~ ld__(X1,w) ) ).
cnf(u604,negated_conjecture,
( sP0(X2,X1,X0)
| ~ ld__(X1,lkg)
| ~ p(X2,X1,X0)
| ~ ld__(X0,k)
| ~ ld__(X1,b)
| ~ ld__(X1,w)
| ~ ld__(X1,g(a,c)) ) ).
cnf(u1102,negated_conjecture,
( sP0(X0,X1,X2)
| ~ ld__(X1,lkg)
| ~ p(X0,X1,X2)
| ~ ld__(X0,h(d))
| ~ ld__(X0,a)
| ~ ld__(X0,g(e,e)) ) ).
cnf(u2528,negated_conjecture,
( ~ p(X1,X2,X0)
| ~ ld__(X0,hill)
| ~ ld__(X2,g(e,e))
| ~ ld__(X2,b)
| ~ ld__(X1,g(e,e))
| ~ ld__(X0,g(b,b))
| ~ ld__(X2,a) ) ).
cnf(u1183,negated_conjecture,
( ~ p(X1,X2,X0)
| ~ ld__(X0,hill)
| ~ ld__(X1,h(d))
| ~ ld__(X0,c)
| ~ ld__(X0,b)
| ~ ld__(X2,a) ) ).
cnf(u845,negated_conjecture,
( sP0(X0,X2,X1)
| ~ ld__(X1,hill)
| ~ p(X0,X2,X1)
| ~ ld__(X0,h(d))
| ~ ld__(X0,a)
| ~ ld__(X1,b) ) ).
cnf(u1612,negated_conjecture,
( ~ p(X1,X2,X0)
| ~ ld__(X0,hill)
| ~ ld__(X0,k)
| ~ ld__(X2,b)
| ~ ld__(X0,b)
| ~ ld__(X0,g(b,b))
| ~ ld__(X2,a) ) ).
cnf(u756,negated_conjecture,
( sP0(X0,X1,X2)
| ~ ld__(X0,k)
| ~ p(X0,X1,X2)
| ~ ld__(X0,h(d))
| ~ ld__(X0,a)
| ~ ld__(X2,b) ) ).
cnf(u2458,negated_conjecture,
( ~ p(X1,X0,X2)
| ~ ld__(X0,lkg)
| ~ ld__(X0,g(e,e))
| ~ ld__(X1,a)
| ~ ld__(X1,g(e,e))
| ~ ld__(X2,g(b,b)) ) ).
cnf(u206,axiom,
ld__(pig,h(X0)) ).
cnf(u1156,negated_conjecture,
( sP0(X1,X0,X2)
| ~ ld__(X1,k)
| ~ p(X1,X0,X2)
| ~ ld__(X0,g(e,e))
| ~ ld__(X1,a)
| ~ ld__(X1,g(e,e))
| ~ ld__(X2,g(b,b)) ) ).
cnf(u646,negated_conjecture,
( sP0(X1,X2,X0)
| ~ ld__(X0,hill)
| ~ p(X1,X2,X0)
| ~ ld__(X0,k)
| ~ ld__(X2,b)
| ~ ld__(X0,b)
| ~ ld__(X2,g(a,c)) ) ).
cnf(u205,axiom,
ld__(pet(X1),h(X0)) ).
cnf(u464,negated_conjecture,
( sP0(X1,X0,X2)
| ~ ld__(X1,k)
| ~ p(X1,X0,X2)
| ~ ld__(X2,k)
| ~ ld__(X0,b)
| ~ ld__(X2,b)
| ~ ld__(X0,g(a,c)) ) ).
cnf(u287,axiom,
ld__(lkg,k) ).
cnf(u591,negated_conjecture,
( sP1(X0,X1,X2)
| ~ ld__(X2,k)
| ~ ld__(X1,lkg)
| ~ p(X0,X1,X2)
| sP0(X0,X1,X2)
| ~ ld__(X1,b)
| ~ ld__(X2,b) ) ).
cnf(u192,axiom,
ld__(lilly,e) ).
cnf(u1290,negated_conjecture,
( ~ p(X1,X2,X0)
| ~ ld__(X0,hill)
| ~ ld__(X1,h(d))
| ~ ld__(X0,c)
| ~ ld__(X1,g(e,e))
| ~ ld__(X2,a) ) ).
cnf(u1923,negated_conjecture,
( ~ p(X1,X0,X2)
| ~ ld__(X0,lkg)
| ~ ld__(X2,k)
| ~ ld__(X0,b)
| ~ ld__(X1,g(e,e))
| ~ ld__(X0,g(a,c))
| ~ ld__(X0,a) ) ).
cnf(u1602,negated_conjecture,
( ~ p(X1,X2,X0)
| ~ ld__(X0,hill)
| ~ ld__(X0,k)
| ~ ld__(X2,b)
| ~ ld__(X0,b)
| ~ ld__(X2,g(a,c))
| ~ ld__(X2,a) ) ).
cnf(u199,axiom,
ld__(pet(X2),g(X0,X1)) ).
cnf(u1084,negated_conjecture,
( sP0(X0,X1,X2)
| ~ ld__(X0,k)
| ~ p(X0,X1,X2)
| ~ ld__(X0,h(d))
| ~ ld__(X0,a)
| ~ ld__(X0,g(e,e)) ) ).
cnf(u1905,negated_conjecture,
( ~ p(X1,X0,X2)
| ~ ld__(X0,lkg)
| ~ ld__(X2,k)
| ~ ld__(X1,a)
| ~ ld__(X1,g(e,e))
| ~ ld__(X0,g(a,c)) ) ).
cnf(u2240,negated_conjecture,
( ~ p(X1,X2,X0)
| ~ ld__(X0,hill)
| ~ ld__(X2,g(e,e))
| ~ ld__(X2,b)
| ~ ld__(X2,w)
| ~ ld__(X2,g(a,c))
| ~ ld__(X0,a) ) ).
cnf(u2479,negated_conjecture,
( ~ p(X1,X0,X2)
| ~ ld__(X0,lkg)
| ~ ld__(X0,g(e,e))
| ~ ld__(X2,c)
| ~ ld__(X1,g(e,e))
| ~ ld__(X0,g(a,c))
| ~ ld__(X0,a) ) ).
cnf(u1075,negated_conjecture,
( sP0(X2,X0,X1)
| ~ ld__(X1,hill)
| ~ p(X2,X0,X1)
| ~ ld__(X0,g(e,e))
| ~ ld__(X1,c)
| ~ ld__(X1,b)
| ~ ld__(X1,g(b,b)) ) ).
cnf(u743,negated_conjecture,
( sP1(X0,X1,X2)
| ~ ld__(X1,g(e,e))
| ~ ld__(X2,hill)
| ~ p(X0,X1,X2)
| sP0(X0,X1,X2)
| ~ ld__(X2,c)
| ~ ld__(X1,w) ) ).
cnf(u1417,negated_conjecture,
( ~ p(X0,X1,X2)
| ~ ld__(X2,k)
| ~ ld__(X0,k)
| ~ ld__(X1,w)
| ~ ld__(X1,g(a,c))
| ~ ld__(X2,c)
| ~ ld__(X1,a) ) ).
cnf(u580,negated_conjecture,
( sP1(X0,X1,X2)
| ~ ld__(X2,k)
| ~ ld__(X1,lkg)
| ~ p(X0,X1,X2)
| sP0(X0,X1,X2)
| ~ ld__(X0,a)
| ~ ld__(X1,w) ) ).
cnf(u2190,negated_conjecture,
( ~ p(X1,X0,X2)
| ~ ld__(X0,lkg)
| ~ ld__(X0,g(e,e))
| ~ ld__(X2,c)
| ~ ld__(X0,w)
| ~ ld__(X2,g(b,b))
| ~ ld__(X0,a) ) ).
cnf(u158,axiom,
p(a,b,c) ).
cnf(u2178,negated_conjecture,
( ~ p(X1,X0,X2)
| ~ ld__(X0,lkg)
| ~ ld__(X0,g(e,e))
| ~ ld__(X0,b)
| ~ ld__(X2,b)
| ~ ld__(X2,g(b,b))
| ~ ld__(X0,a) ) ).
cnf(u978,negated_conjecture,
( ~ p(X1,X0,X2)
| ~ ld__(X0,lkg)
| ~ ld__(X1,h(d))
| ~ ld__(X0,b)
| ~ ld__(X2,b)
| ~ ld__(X2,a) ) ).
cnf(u1633,negated_conjecture,
( ~ p(X1,X2,X0)
| ~ ld__(X0,hill)
| ~ ld__(X0,k)
| ~ ld__(X0,c)
| ~ ld__(X2,w)
| ~ ld__(X0,g(b,b))
| ~ ld__(X0,a) ) ).
cnf(u1023,negated_conjecture,
( sP0(X1,X0,X2)
| ~ ld__(X0,lkg)
| ~ p(X1,X0,X2)
| ~ ld__(X0,g(e,e))
| ~ ld__(X2,c)
| ~ ld__(X0,w)
| ~ ld__(X0,g(a,c)) ) ).
cnf(u1975,negated_conjecture,
( ~ p(X1,X2,X0)
| ~ ld__(X0,hill)
| ~ ld__(X0,k)
| ~ ld__(X1,a)
| ~ ld__(X1,g(e,e))
| ~ ld__(X0,g(b,b)) ) ).
cnf(u2221,negated_conjecture,
( ~ p(X1,X2,X0)
| ~ ld__(X0,hill)
| ~ ld__(X2,g(e,e))
| ~ ld__(X1,a)
| ~ ld__(X0,b)
| ~ ld__(X2,g(a,c)) ) ).
cnf(u543,negated_conjecture,
( sP2(X1,X2,X0)
| ~ p(X1,X2,X0)
| ~ ld__(X1,h(d))
| ~ ld__(X0,hill)
| sP1(X1,X2,X0)
| sP0(X1,X2,X0)
| ~ ld__(X1,a) ) ).
cnf(u732,negated_conjecture,
( sP1(X0,X1,X2)
| ~ ld__(X1,g(e,e))
| ~ ld__(X2,hill)
| ~ p(X0,X1,X2)
| sP0(X0,X1,X2)
| ~ ld__(X0,a)
| ~ ld__(X2,b) ) ).
cnf(u1080,negated_conjecture,
( ~ p(X1,X2,X0)
| ~ ld__(X0,hill)
| ~ ld__(X1,h(d))
| ~ ld__(X1,a)
| ~ ld__(X0,b) ) ).
cnf(u2004,negated_conjecture,
( ~ p(X1,X2,X0)
| ~ ld__(X0,hill)
| ~ ld__(X0,k)
| ~ ld__(X0,c)
| ~ ld__(X1,g(e,e))
| ~ ld__(X2,g(a,c))
| ~ ld__(X0,a) ) ).
cnf(u304,negated_conjecture,
( sP4(X0,X1,X2)
| ~ ld__(X2,hill)
| ~ p(X0,X1,X2)
| sP3(X0,X1,X2)
| sP2(X0,X1,X2)
| sP1(X0,X1,X2)
| sP0(X0,X1,X2) ) ).
cnf(u723,negated_conjecture,
( sP1(X0,X1,X2)
| ~ ld__(X1,g(e,e))
| ~ ld__(X1,lkg)
| ~ p(X0,X1,X2)
| sP0(X0,X1,X2)
| ~ ld__(X2,c)
| ~ ld__(X0,g(e,e)) ) ).
cnf(u688,negated_conjecture,
( sP1(X0,X1,X2)
| ~ ld__(X1,g(e,e))
| ~ ld__(X0,k)
| ~ p(X0,X1,X2)
| sP0(X0,X1,X2)
| ~ ld__(X1,b)
| ~ ld__(X1,w) ) ).
cnf(u459,negated_conjecture,
( sP0(X1,X0,X2)
| ~ p(X1,X0,X2)
| ~ ld__(X2,k)
| ~ ld__(X1,a)
| ~ ld__(X1,k)
| ~ ld__(X0,g(a,c))
| ~ ld__(X2,b) ) ).
cnf(u213,axiom,
ld__(aparna,k) ).
cnf(u1074,negated_conjecture,
( sP0(X2,X0,X1)
| ~ ld__(X1,hill)
| ~ p(X2,X0,X1)
| ~ ld__(X0,g(e,e))
| ~ ld__(X1,c)
| ~ ld__(X1,b)
| ~ ld__(X0,g(a,c)) ) ).
cnf(u695,negated_conjecture,
( sP1(X0,X1,X2)
| ~ ld__(X1,g(e,e))
| ~ ld__(X0,k)
| ~ p(X0,X1,X2)
| sP0(X0,X1,X2)
| ~ ld__(X2,c)
| ~ ld__(X1,w) ) ).
cnf(u974,negated_conjecture,
( sP0(X1,X0,X2)
| ~ ld__(X1,k)
| ~ p(X1,X0,X2)
| ~ ld__(X0,g(e,e))
| ~ ld__(X2,c)
| ~ ld__(X0,w)
| ~ ld__(X2,g(b,b)) ) ).
cnf(u298,axiom,
( ~ sP1(X0,X1,X2)
| ~ ld__(X2,g(b,b)) ) ).
cnf(u1003,negated_conjecture,
( ~ p(X1,X0,X2)
| ~ ld__(X0,lkg)
| ~ ld__(X1,h(d))
| ~ ld__(X2,c)
| ~ ld__(X0,w)
| ~ ld__(X0,a) ) ).
cnf(u461,negated_conjecture,
( sP0(X1,X0,X2)
| ~ p(X1,X0,X2)
| ~ ld__(X2,k)
| ~ ld__(X1,k)
| ~ ld__(X0,w)
| ~ ld__(X0,g(a,c))
| ~ ld__(X2,c) ) ).
cnf(u494,negated_conjecture,
( ~ p(X0,X1,X2)
| ~ ld__(X2,k)
| ~ ld__(X0,k)
| ~ ld__(X1,w)
| ~ ld__(X0,h(d))
| ~ ld__(X2,c)
| ~ ld__(X2,a) ) ).
cnf(u2284,negated_conjecture,
( ~ p(X1,X2,X0)
| ~ ld__(X0,hill)
| ~ ld__(X2,g(e,e))
| ~ ld__(X0,c)
| ~ ld__(X2,w)
| ~ ld__(X0,g(b,b))
| ~ ld__(X2,a) ) ).
cnf(u742,negated_conjecture,
( sP1(X0,X1,X2)
| ~ ld__(X1,g(e,e))
| ~ ld__(X2,hill)
| ~ p(X0,X1,X2)
| sP0(X0,X1,X2)
| ~ ld__(X2,c)
| ~ ld__(X0,g(e,e)) ) ).
cnf(u300,axiom,
( ~ sP1(X0,X1,X2)
| ~ ld__(X0,h(d)) ) ).
cnf(u207,axiom,
ld__(aparna,hill) ).
cnf(u322,negated_conjecture,
( sP0(X0,X1,X2)
| ~ p(X0,X1,X2)
| ~ ld__(X2,k)
| ~ ld__(X0,a)
| ~ ld__(X0,k)
| ~ ld__(X0,h(d))
| ~ ld__(X2,b) ) ).
cnf(u741,negated_conjecture,
( sP1(X0,X1,X2)
| ~ ld__(X1,g(e,e))
| ~ ld__(X2,hill)
| ~ p(X0,X1,X2)
| sP0(X0,X1,X2)
| ~ ld__(X1,b)
| ~ ld__(X2,b) ) ).
cnf(u803,negated_conjecture,
( ~ p(X0,X1,X2)
| ~ ld__(X0,k)
| ~ ld__(X0,h(d))
| ~ ld__(X1,b)
| ~ ld__(X1,w)
| ~ ld__(X2,a) ) ).
cnf(u2257,negated_conjecture,
( ~ p(X1,X2,X0)
| ~ ld__(X0,hill)
| ~ ld__(X2,g(e,e))
| ~ ld__(X2,b)
| ~ ld__(X0,b)
| ~ ld__(X2,g(a,c))
| ~ ld__(X2,a) ) ).
cnf(u2069,negated_conjecture,
( ~ p(X0,X1,X2)
| ~ ld__(X0,k)
| ~ ld__(X1,g(e,e))
| ~ ld__(X1,b)
| ~ ld__(X2,b)
| ~ ld__(X1,g(a,c))
| ~ ld__(X1,a) ) ).
cnf(u294,axiom,
( ~ sP3(X0,X1,X2)
| ~ ld__(X0,a) ) ).
cnf(u324,negated_conjecture,
( sP0(X0,X1,X2)
| ~ p(X0,X1,X2)
| ~ ld__(X2,k)
| ~ ld__(X0,k)
| ~ ld__(X1,w)
| ~ ld__(X0,h(d))
| ~ ld__(X2,c) ) ).
cnf(u1385,negated_conjecture,
( ~ p(X0,X1,X2)
| ~ ld__(X0,k)
| ~ ld__(X2,k)
| ~ ld__(X1,b)
| ~ ld__(X2,b)
| ~ ld__(X2,g(b,b))
| ~ ld__(X1,a) ) ).
cnf(u1104,negated_conjecture,
( ~ p(X1,X2,X0)
| ~ ld__(X0,hill)
| ~ ld__(X1,h(d))
| ~ ld__(X2,b)
| ~ ld__(X2,w)
| ~ ld__(X2,a) ) ).
cnf(u248,axiom,
ld__(hill,b) ).
cnf(u943,negated_conjecture,
( sP0(X1,X2,X0)
| ~ ld__(X0,hill)
| ~ p(X1,X2,X0)
| ~ ld__(X0,k)
| ~ ld__(X0,c)
| ~ ld__(X1,g(e,e))
| ~ ld__(X2,g(a,c)) ) ).
cnf(u955,negated_conjecture,
( sP0(X1,X0,X2)
| ~ ld__(X1,k)
| ~ p(X1,X0,X2)
| ~ ld__(X0,g(e,e))
| ~ ld__(X0,b)
| ~ ld__(X0,w)
| ~ ld__(X0,g(a,c)) ) ).
cnf(u722,negated_conjecture,
( sP1(X0,X1,X2)
| ~ ld__(X1,g(e,e))
| ~ ld__(X1,lkg)
| ~ p(X0,X1,X2)
| sP0(X0,X1,X2)
| ~ ld__(X1,b)
| ~ ld__(X2,b) ) ).
cnf(u280,axiom,
ld__(hill,h(X0)) ).
cnf(u255,axiom,
ld__(lkg,c) ).
cnf(u2489,negated_conjecture,
( ~ p(X1,X0,X2)
| ~ ld__(X0,lkg)
| ~ ld__(X0,g(e,e))
| ~ ld__(X2,c)
| ~ ld__(X1,g(e,e))
| ~ ld__(X2,g(b,b))
| ~ ld__(X2,a) ) ).
cnf(u446,negated_conjecture,
( sP1(X0,X1,X2)
| ~ ld__(X0,k)
| ~ p(X0,X1,X2)
| ~ ld__(X2,k)
| ~ ld__(X0,a)
| ~ ld__(X0,g(e,e))
| sP0(X0,X1,X2) ) ).
cnf(u721,negated_conjecture,
( sP1(X0,X1,X2)
| ~ ld__(X1,g(e,e))
| ~ ld__(X1,lkg)
| ~ p(X0,X1,X2)
| sP0(X0,X1,X2)
| ~ ld__(X1,b)
| ~ ld__(X1,w) ) ).
cnf(u694,negated_conjecture,
( sP1(X0,X1,X2)
| ~ ld__(X1,g(e,e))
| ~ ld__(X0,k)
| ~ p(X0,X1,X2)
| sP0(X0,X1,X2)
| ~ ld__(X2,c)
| ~ ld__(X0,g(e,e)) ) ).
cnf(u1933,negated_conjecture,
( ~ p(X1,X0,X2)
| ~ ld__(X0,lkg)
| ~ ld__(X2,k)
| ~ ld__(X0,b)
| ~ ld__(X1,g(e,e))
| ~ ld__(X2,g(b,b))
| ~ ld__(X0,a) ) ).
cnf(u274,axiom,
ld__(h(X2),g(X0,X1)) ).
cnf(u241,axiom,
ld__(e,a) ).
cnf(u1871,negated_conjecture,
( ~ p(X0,X1,X2)
| ~ ld__(X2,k)
| ~ ld__(X0,a)
| ~ ld__(X0,g(e,e))
| ~ ld__(X0,k)
| ~ ld__(X1,g(a,c)) ) ).
cnf(u1530,negated_conjecture,
( ~ p(X1,X0,X2)
| ~ ld__(X0,lkg)
| ~ ld__(X2,k)
| ~ ld__(X2,c)
| ~ ld__(X0,w)
| ~ ld__(X0,g(a,c))
| ~ ld__(X0,a) ) ).
cnf(u244,axiom,
ld__(b,g(X0,X1)) ).
cnf(u718,negated_conjecture,
( sP1(X0,X1,X2)
| ~ ld__(X1,g(e,e))
| ~ ld__(X1,lkg)
| ~ p(X0,X1,X2)
| sP0(X0,X1,X2)
| ~ ld__(X0,a)
| ~ ld__(X1,w) ) ).
cnf(u276,axiom,
ld__(k,g(X0,X1)) ).
cnf(u1155,negated_conjecture,
( sP0(X1,X0,X2)
| ~ ld__(X1,k)
| ~ p(X1,X0,X2)
| ~ ld__(X0,g(e,e))
| ~ ld__(X1,a)
| ~ ld__(X1,g(e,e))
| ~ ld__(X0,g(a,c)) ) ).
cnf(u2073,negated_conjecture,
( ~ p(X0,X1,X2)
| ~ ld__(X0,k)
| ~ ld__(X1,g(e,e))
| ~ ld__(X1,b)
| ~ ld__(X2,b)
| ~ ld__(X2,g(b,b))
| ~ ld__(X2,a) ) ).
cnf(u717,negated_conjecture,
( sP1(X0,X1,X2)
| ~ ld__(X1,g(e,e))
| ~ ld__(X1,lkg)
| ~ p(X0,X1,X2)
| sP0(X0,X1,X2)
| ~ ld__(X0,a)
| ~ ld__(X0,g(e,e)) ) ).
cnf(u2201,negated_conjecture,
( ~ p(X1,X2,X0)
| ~ ld__(X0,hill)
| ~ ld__(X2,g(e,e))
| ~ ld__(X1,a)
| ~ ld__(X2,w)
| ~ ld__(X2,g(a,c)) ) ).
cnf(u1510,negated_conjecture,
( ~ p(X1,X0,X2)
| ~ ld__(X0,lkg)
| ~ ld__(X2,k)
| ~ ld__(X0,b)
| ~ ld__(X2,b)
| ~ ld__(X0,g(a,c))
| ~ ld__(X0,a) ) ).
cnf(u270,axiom,
ld__(e,g(X0,X1)) ).
cnf(u2067,negated_conjecture,
( ~ p(X0,X1,X2)
| ~ ld__(X0,k)
| ~ ld__(X1,g(e,e))
| ~ ld__(X1,b)
| ~ ld__(X1,w)
| ~ ld__(X2,g(b,b))
| ~ ld__(X2,a) ) ).
cnf(u1053,negated_conjecture,
( ~ p(X1,X2,X0)
| ~ ld__(X0,hill)
| ~ ld__(X1,h(d))
| ~ ld__(X1,a)
| ~ ld__(X2,w) ) ).
cnf(u2013,negated_conjecture,
( ~ p(X1,X2,X0)
| ~ ld__(X0,hill)
| ~ ld__(X0,k)
| ~ ld__(X0,c)
| ~ ld__(X1,g(e,e))
| ~ ld__(X0,g(b,b))
| ~ ld__(X2,a) ) ).
cnf(u2549,negated_conjecture,
( ~ p(X1,X2,X0)
| ~ ld__(X0,hill)
| ~ ld__(X2,g(e,e))
| ~ ld__(X0,c)
| ~ ld__(X1,g(e,e))
| ~ ld__(X0,g(b,b))
| ~ ld__(X0,a) ) ).
cnf(u953,negated_conjecture,
( ~ p(X1,X0,X2)
| ~ ld__(X0,lkg)
| ~ ld__(X1,h(d))
| ~ ld__(X0,b)
| ~ ld__(X0,w)
| ~ ld__(X0,a) ) ).
cnf(u2102,negated_conjecture,
( ~ p(X0,X1,X2)
| ~ ld__(X0,k)
| ~ ld__(X1,g(e,e))
| ~ ld__(X2,c)
| ~ ld__(X2,b)
| ~ ld__(X2,g(b,b))
| ~ ld__(X1,a) ) ).
cnf(u858,negated_conjecture,
( ~ p(X0,X1,X2)
| ~ ld__(X0,k)
| ~ ld__(X0,h(d))
| ~ ld__(X2,c)
| ~ ld__(X1,w)
| ~ ld__(X1,a) ) ).
cnf(u315,negated_conjecture,
( sP1(X1,X0,X2)
| ~ ld__(X1,k)
| ~ p(X1,X0,X2)
| ~ ld__(X2,k)
| ~ ld__(X0,b)
| ~ ld__(X0,w)
| sP0(X1,X0,X2) ) ).
cnf(u2197,negated_conjecture,
( ~ p(X1,X0,X2)
| ~ ld__(X0,lkg)
| ~ ld__(X0,g(e,e))
| ~ ld__(X2,c)
| ~ ld__(X2,b)
| ~ ld__(X2,g(b,b))
| ~ ld__(X2,a) ) ).
cnf(u830,negated_conjecture,
( ~ p(X0,X1,X2)
| ~ ld__(X0,k)
| ~ ld__(X0,h(d))
| ~ ld__(X1,b)
| ~ ld__(X2,b)
| ~ ld__(X2,a) ) ).
cnf(u669,negated_conjecture,
( sP1(X0,X1,X2)
| ~ ld__(X0,h(d))
| ~ ld__(X2,hill)
| ~ p(X0,X1,X2)
| sP0(X0,X1,X2)
| ~ ld__(X2,c)
| ~ ld__(X2,b) ) ).
cnf(u626,negated_conjecture,
( sP1(X0,X1,X2)
| ~ ld__(X0,h(d))
| ~ ld__(X0,k)
| ~ p(X0,X1,X2)
| sP0(X0,X1,X2)
| ~ ld__(X1,b)
| ~ ld__(X1,w) ) ).
cnf(u977,negated_conjecture,
( ~ p(X1,X0,X2)
| ~ ld__(X0,lkg)
| ~ ld__(X1,h(d))
| ~ ld__(X0,b)
| ~ ld__(X2,b)
| ~ ld__(X0,a) ) ).
cnf(u317,negated_conjecture,
( sP1(X0,X1,X2)
| ~ p(X0,X1,X2)
| ~ ld__(X2,k)
| ~ ld__(X0,a)
| ~ ld__(X0,k)
| sP0(X0,X1,X2)
| ~ ld__(X1,w) ) ).
cnf(u1159,negated_conjecture,
( ~ p(X1,X2,X0)
| ~ ld__(X0,hill)
| ~ ld__(X1,h(d))
| ~ ld__(X0,c)
| ~ ld__(X2,w)
| ~ ld__(X2,a) ) ).
cnf(u460,negated_conjecture,
( sP0(X1,X0,X2)
| ~ p(X1,X0,X2)
| ~ ld__(X2,k)
| ~ ld__(X1,a)
| ~ ld__(X1,k)
| ~ ld__(X0,g(a,c))
| ~ ld__(X0,w) ) ).
cnf(u625,negated_conjecture,
( sP1(X0,X1,X2)
| ~ ld__(X0,h(d))
| ~ ld__(X0,k)
| ~ p(X0,X1,X2)
| sP0(X0,X1,X2)
| ~ ld__(X1,b)
| ~ ld__(X0,g(e,e)) ) ).
cnf(u1054,negated_conjecture,
( sP0(X2,X0,X1)
| ~ ld__(X1,hill)
| ~ p(X2,X0,X1)
| ~ ld__(X0,g(e,e))
| ~ ld__(X0,b)
| ~ ld__(X0,w)
| ~ ld__(X0,g(a,c)) ) ).
cnf(u949,negated_conjecture,
( sP0(X1,X0,X2)
| ~ ld__(X1,k)
| ~ p(X1,X0,X2)
| ~ ld__(X0,g(e,e))
| ~ ld__(X1,a)
| ~ ld__(X2,b)
| ~ ld__(X0,g(a,c)) ) ).
cnf(u1652,negated_conjecture,
( ~ p(X1,X2,X0)
| ~ ld__(X0,hill)
| ~ ld__(X0,k)
| ~ ld__(X0,c)
| ~ ld__(X0,b)
| ~ ld__(X0,g(b,b))
| ~ ld__(X2,a) ) ).
cnf(u1546,negated_conjecture,
( ~ p(X1,X0,X2)
| ~ ld__(X0,lkg)
| ~ ld__(X2,k)
| ~ ld__(X2,c)
| ~ ld__(X2,b)
| ~ ld__(X2,g(b,b))
| ~ ld__(X0,a) ) ).
cnf(u311,negated_conjecture,
( sP2(X1,X0,X2)
| ~ ld__(X1,k)
| ~ p(X1,X0,X2)
| ~ ld__(X2,k)
| ~ ld__(X0,b)
| sP1(X1,X0,X2)
| sP0(X1,X0,X2) ) ).
cnf(u650,negated_conjecture,
( sP1(X0,X1,X2)
| ~ ld__(X0,h(d))
| ~ ld__(X1,lkg)
| ~ p(X0,X1,X2)
| sP0(X0,X1,X2)
| ~ ld__(X2,c)
| ~ ld__(X1,w) ) ).
cnf(u944,negated_conjecture,
( sP0(X1,X2,X0)
| ~ ld__(X0,hill)
| ~ p(X1,X2,X0)
| ~ ld__(X0,k)
| ~ ld__(X0,c)
| ~ ld__(X1,g(e,e))
| ~ ld__(X0,g(b,b)) ) ).
cnf(u1490,negated_conjecture,
( ~ p(X1,X0,X2)
| ~ ld__(X0,lkg)
| ~ ld__(X2,k)
| ~ ld__(X0,b)
| ~ ld__(X0,w)
| ~ ld__(X0,g(a,c))
| ~ ld__(X0,a) ) ).
cnf(u649,negated_conjecture,
( sP1(X0,X1,X2)
| ~ ld__(X0,h(d))
| ~ ld__(X1,lkg)
| ~ p(X0,X1,X2)
| sP0(X0,X1,X2)
| ~ ld__(X2,c)
| ~ ld__(X0,g(e,e)) ) ).
cnf(u622,negated_conjecture,
( sP0(X2,X1,X0)
| ~ ld__(X1,lkg)
| ~ p(X2,X1,X0)
| ~ ld__(X0,k)
| ~ ld__(X0,c)
| ~ ld__(X0,b)
| ~ ld__(X1,g(a,c)) ) ).
cnf(u678,negated_conjecture,
( sP1(X0,X1,X2)
| ~ ld__(X1,g(e,e))
| ~ ld__(X0,k)
| ~ p(X0,X1,X2)
| sP0(X0,X1,X2)
| ~ ld__(X0,a)
| ~ ld__(X1,w) ) ).
cnf(u297,axiom,
( ~ sP2(X0,X1,X2)
| ~ ld__(X0,g(e,e)) ) ).
cnf(u2548,negated_conjecture,
( ~ p(X1,X2,X0)
| ~ ld__(X0,hill)
| ~ ld__(X2,g(e,e))
| ~ ld__(X0,c)
| ~ ld__(X1,g(e,e))
| ~ ld__(X0,g(b,b))
| ~ ld__(X2,a) ) ).
cnf(u2123,negated_conjecture,
( ~ p(X1,X0,X2)
| ~ ld__(X0,lkg)
| ~ ld__(X0,g(e,e))
| ~ ld__(X1,a)
| ~ ld__(X0,w)
| ~ ld__(X2,g(b,b)) ) ).
cnf(u621,negated_conjecture,
( sP1(X0,X1,X2)
| ~ ld__(X0,h(d))
| ~ ld__(X0,k)
| ~ p(X0,X1,X2)
| sP0(X0,X1,X2)
| ~ ld__(X0,a)
| ~ ld__(X2,b) ) ).
cnf(u1254,negated_conjecture,
( ~ p(X1,X0,X2)
| ~ ld__(X0,lkg)
| ~ ld__(X1,h(d))
| ~ ld__(X0,b)
| ~ ld__(X1,g(e,e))
| ~ ld__(X2,a) ) ).
cnf(u1965,negated_conjecture,
( ~ p(X1,X2,X0)
| ~ ld__(X0,hill)
| ~ ld__(X0,k)
| ~ ld__(X1,a)
| ~ ld__(X1,g(e,e))
| ~ ld__(X2,g(a,c)) ) ).
cnf(u1253,negated_conjecture,
( ~ p(X1,X0,X2)
| ~ ld__(X0,lkg)
| ~ ld__(X1,h(d))
| ~ ld__(X0,b)
| ~ ld__(X1,g(e,e))
| ~ ld__(X0,a) ) ).
cnf(u291,axiom,
( ~ sP4(X0,X1,X2)
| ~ ld__(X0,h(d)) ) ).
cnf(u2302,negated_conjecture,
( ~ p(X1,X2,X0)
| ~ ld__(X0,hill)
| ~ ld__(X2,g(e,e))
| ~ ld__(X0,c)
| ~ ld__(X0,b)
| ~ ld__(X0,g(b,b))
| ~ ld__(X2,a) ) ).
cnf(u1098,negated_conjecture,
( sP0(X0,X1,X2)
| ~ ld__(X0,k)
| ~ p(X0,X1,X2)
| ~ ld__(X0,h(d))
| ~ ld__(X2,c)
| ~ ld__(X0,g(e,e)) ) ).
cnf(u719,negated_conjecture,
( sP1(X0,X1,X2)
| ~ ld__(X1,g(e,e))
| ~ ld__(X1,lkg)
| ~ p(X0,X1,X2)
| sP0(X0,X1,X2)
| ~ ld__(X0,a)
| ~ ld__(X2,b) ) ).
cnf(u602,negated_conjecture,
( sP1(X0,X1,X2)
| ~ ld__(X2,k)
| ~ ld__(X2,hill)
| ~ p(X0,X1,X2)
| sP0(X0,X1,X2)
| ~ ld__(X0,a)
| ~ ld__(X1,w) ) ).
cnf(u160,axiom,
p(h(d),g(a,c),g(b,b)) ).
cnf(u293,axiom,
( ~ sP3(X0,X1,X2)
| ~ ld__(X1,b) ) ).
cnf(u1263,negated_conjecture,
( ~ p(X1,X0,X2)
| ~ ld__(X0,lkg)
| ~ ld__(X1,h(d))
| ~ ld__(X2,c)
| ~ ld__(X1,g(e,e))
| ~ ld__(X2,a) ) ).
cnf(u601,negated_conjecture,
( sP1(X0,X1,X2)
| ~ ld__(X2,k)
| ~ ld__(X2,hill)
| ~ p(X0,X1,X2)
| sP0(X0,X1,X2)
| ~ ld__(X0,a)
| ~ ld__(X0,g(e,e)) ) ).
cnf(u999,negated_conjecture,
( sP0(X1,X0,X2)
| ~ ld__(X0,lkg)
| ~ p(X1,X0,X2)
| ~ ld__(X0,g(e,e))
| ~ ld__(X1,a)
| ~ ld__(X2,b)
| ~ ld__(X0,g(a,c)) ) ).
cnf(u2488,negated_conjecture,
( ~ p(X1,X0,X2)
| ~ ld__(X0,lkg)
| ~ ld__(X0,g(e,e))
| ~ ld__(X2,c)
| ~ ld__(X1,g(e,e))
| ~ ld__(X2,g(b,b))
| ~ ld__(X0,a) ) ).
cnf(u896,negated_conjecture,
( sP0(X0,X1,X2)
| ~ p(X0,X1,X2)
| ~ ld__(X2,k)
| ~ ld__(X1,b)
| ~ ld__(X0,g(e,e))
| ~ ld__(X0,k)
| ~ ld__(X1,g(a,c)) ) ).
cnf(u1282,negated_conjecture,
( ~ p(X1,X2,X0)
| ~ ld__(X0,hill)
| ~ ld__(X1,h(d))
| ~ ld__(X2,b)
| ~ ld__(X1,g(e,e))
| ~ ld__(X0,a) ) ).
cnf(u2538,negated_conjecture,
( ~ p(X1,X2,X0)
| ~ ld__(X0,hill)
| ~ ld__(X2,g(e,e))
| ~ ld__(X0,c)
| ~ ld__(X1,g(e,e))
| ~ ld__(X2,g(a,c))
| ~ ld__(X2,a) ) ).
cnf(u964,negated_conjecture,
( sP0(X1,X0,X2)
| ~ ld__(X1,k)
| ~ p(X1,X0,X2)
| ~ ld__(X0,g(e,e))
| ~ ld__(X0,b)
| ~ ld__(X2,b)
| ~ ld__(X0,g(a,c)) ) ).
cnf(u1227,negated_conjecture,
( sP0(X2,X0,X1)
| ~ ld__(X1,hill)
| ~ p(X2,X0,X1)
| ~ ld__(X0,g(e,e))
| ~ ld__(X1,c)
| ~ ld__(X2,g(e,e))
| ~ ld__(X0,g(a,c)) ) ).
cnf(u1894,negated_conjecture,
( ~ p(X0,X1,X2)
| ~ ld__(X2,k)
| ~ ld__(X1,b)
| ~ ld__(X0,g(e,e))
| ~ ld__(X0,k)
| ~ ld__(X2,g(b,b))
| ~ ld__(X1,a) ) ).
cnf(u554,negated_conjecture,
( sP2(X0,X1,X2)
| ~ p(X0,X1,X2)
| ~ ld__(X1,g(e,e))
| ~ ld__(X0,k)
| sP1(X0,X1,X2)
| sP0(X0,X1,X2)
| ~ ld__(X1,b) ) ).
cnf(u973,negated_conjecture,
( sP0(X1,X0,X2)
| ~ ld__(X1,k)
| ~ p(X1,X0,X2)
| ~ ld__(X0,g(e,e))
| ~ ld__(X2,c)
| ~ ld__(X0,w)
| ~ ld__(X0,g(a,c)) ) ).
cnf(u627,negated_conjecture,
( sP1(X0,X1,X2)
| ~ ld__(X0,h(d))
| ~ ld__(X0,k)
| ~ p(X0,X1,X2)
| sP0(X0,X1,X2)
| ~ ld__(X1,b)
| ~ ld__(X2,b) ) ).
cnf(u1027,negated_conjecture,
( ~ p(X1,X0,X2)
| ~ ld__(X0,lkg)
| ~ ld__(X1,h(d))
| ~ ld__(X2,c)
| ~ ld__(X2,b)
| ~ ld__(X0,a) ) ).
cnf(u235,axiom,
ld__(d,a) ).
cnf(u1029,negated_conjecture,
( sP0(X1,X0,X2)
| ~ ld__(X0,lkg)
| ~ p(X1,X0,X2)
| ~ ld__(X0,g(e,e))
| ~ ld__(X2,c)
| ~ ld__(X2,b)
| ~ ld__(X0,g(a,c)) ) ).
cnf(u906,negated_conjecture,
( sP0(X0,X1,X2)
| ~ ld__(X2,k)
| ~ ld__(X0,k)
| ~ ld__(X0,g(e,e))
| ~ p(X0,X1,X2)
| ~ ld__(X2,c)
| ~ ld__(X2,g(b,b)) ) ).
cnf(u1039,negated_conjecture,
( sP0(X2,X0,X1)
| ~ ld__(X1,hill)
| ~ p(X2,X0,X1)
| ~ ld__(X0,g(e,e))
| ~ ld__(X2,a)
| ~ ld__(X0,w)
| ~ ld__(X1,g(b,b)) ) ).
cnf(u1030,negated_conjecture,
( sP0(X1,X0,X2)
| ~ ld__(X0,lkg)
| ~ p(X1,X0,X2)
| ~ ld__(X0,g(e,e))
| ~ ld__(X2,c)
| ~ ld__(X2,b)
| ~ ld__(X2,g(b,b)) ) ).
cnf(u238,axiom,
ld__(a,h(X0)) ).
cnf(u651,negated_conjecture,
( sP1(X0,X1,X2)
| ~ ld__(X0,h(d))
| ~ ld__(X1,lkg)
| ~ p(X0,X1,X2)
| sP0(X0,X1,X2)
| ~ ld__(X2,c)
| ~ ld__(X2,b) ) ).
cnf(u616,negated_conjecture,
( sP0(X2,X1,X0)
| ~ ld__(X1,lkg)
| ~ p(X2,X1,X0)
| ~ ld__(X0,k)
| ~ ld__(X0,c)
| ~ ld__(X1,w)
| ~ ld__(X1,g(a,c)) ) ).
cnf(u237,axiom,
ld__(a,c) ).
cnf(u1000,negated_conjecture,
( sP0(X1,X0,X2)
| ~ ld__(X0,lkg)
| ~ p(X1,X0,X2)
| ~ ld__(X0,g(e,e))
| ~ ld__(X1,a)
| ~ ld__(X2,b)
| ~ ld__(X2,g(b,b)) ) ).
cnf(u623,negated_conjecture,
( sP0(X2,X1,X0)
| ~ ld__(X1,lkg)
| ~ p(X2,X1,X0)
| ~ ld__(X0,k)
| ~ ld__(X0,c)
| ~ ld__(X0,b)
| ~ ld__(X0,g(b,b)) ) ).
cnf(u224,axiom,
ld__(pig,lkg) ).
cnf(u256,axiom,
ld__(e,c) ).
cnf(u231,axiom,
( ld__(g(X0,X2),g(X1,X3))
| ~ ld__(X2,X3) ) ).
cnf(u1109,negated_conjecture,
( sP0(X0,X1,X2)
| ~ ld__(X1,lkg)
| ~ p(X0,X1,X2)
| ~ ld__(X0,h(d))
| ~ ld__(X1,b)
| ~ ld__(X0,g(e,e)) ) ).
cnf(u640,negated_conjecture,
( sP0(X1,X2,X0)
| ~ ld__(X0,hill)
| ~ p(X1,X2,X0)
| ~ ld__(X0,k)
| ~ ld__(X2,b)
| ~ ld__(X2,w)
| ~ ld__(X2,g(a,c)) ) ).
cnf(u2075,negated_conjecture,
( ~ p(X0,X1,X2)
| ~ ld__(X0,k)
| ~ ld__(X1,g(e,e))
| ~ ld__(X2,c)
| ~ ld__(X1,w)
| ~ ld__(X1,g(a,c))
| ~ ld__(X1,a) ) ).
cnf(u1590,negated_conjecture,
( ~ p(X1,X2,X0)
| ~ ld__(X0,hill)
| ~ ld__(X0,k)
| ~ ld__(X2,b)
| ~ ld__(X2,w)
| ~ ld__(X2,g(a,c))
| ~ ld__(X0,a) ) ).
cnf(u218,axiom,
ld__(pig,k) ).
cnf(u800,negated_conjecture,
( sP0(X0,X1,X2)
| ~ ld__(X1,lkg)
| ~ p(X0,X1,X2)
| ~ ld__(X0,h(d))
| ~ ld__(X1,b)
| ~ ld__(X1,w) ) ).
cnf(u187,axiom,
ld__(d,pet(X0)) ).
cnf(u1380,negated_conjecture,
( ~ p(X0,X1,X2)
| ~ ld__(X0,k)
| ~ ld__(X2,k)
| ~ ld__(X1,b)
| ~ ld__(X1,w)
| ~ ld__(X2,g(b,b))
| ~ ld__(X2,a) ) ).
cnf(u1589,negated_conjecture,
( ~ p(X1,X2,X0)
| ~ ld__(X0,hill)
| ~ ld__(X0,k)
| ~ ld__(X2,b)
| ~ ld__(X2,w)
| ~ ld__(X2,g(a,c))
| ~ ld__(X2,a) ) ).
cnf(u217,axiom,
ld__(k,pet(X0)) ).
cnf(u190,axiom,
ld__(cow,e) ).
cnf(u603,negated_conjecture,
( sP1(X0,X1,X2)
| ~ ld__(X2,k)
| ~ ld__(X2,hill)
| ~ p(X0,X1,X2)
| sP0(X0,X1,X2)
| ~ ld__(X0,a)
| ~ ld__(X2,b) ) ).
cnf(u220,axiom,
ld__(cow,lkg) ).
cnf(u568,negated_conjecture,
( ~ p(X0,X1,X2)
| ~ ld__(X2,k)
| ~ ld__(X0,k)
| ~ ld__(X2,b)
| ~ ld__(X0,h(d))
| ~ ld__(X2,c)
| ~ ld__(X2,a) ) ).
cnf(u189,axiom,
ld__(aparna,e) ).
cnf(u1382,negated_conjecture,
( ~ p(X0,X1,X2)
| ~ ld__(X2,k)
| ~ ld__(X0,k)
| ~ ld__(X2,b)
| ~ ld__(X2,g(b,b))
| ~ ld__(X2,c)
| ~ ld__(X1,a) ) ).
cnf(u570,negated_conjecture,
( sP2(X1,X2,X0)
| ~ p(X1,X2,X0)
| ~ ld__(X2,g(e,e))
| ~ ld__(X0,hill)
| sP1(X1,X2,X0)
| sP0(X1,X2,X0)
| ~ ld__(X2,b) ) ).
cnf(u211,axiom,
ld__(hill,pet(X0)) ).
cnf(u176,axiom,
ld__(pig,b) ).
cnf(u883,negated_conjecture,
( sP0(X0,X2,X1)
| ~ ld__(X1,hill)
| ~ p(X0,X2,X1)
| ~ ld__(X0,h(d))
| ~ ld__(X1,c)
| ~ ld__(X1,b) ) ).
cnf(u214,axiom,
ld__(cow,k) ).
cnf(u796,negated_conjecture,
( sP0(X0,X1,X2)
| ~ ld__(X1,lkg)
| ~ p(X0,X1,X2)
| ~ ld__(X0,h(d))
| ~ ld__(X0,a)
| ~ ld__(X2,b) ) ).
cnf(u183,axiom,
ld__(aparna,d) ).
cnf(u592,negated_conjecture,
( sP0(X2,X1,X0)
| ~ ld__(X1,lkg)
| ~ p(X2,X1,X0)
| ~ ld__(X0,k)
| ~ ld__(X2,a)
| ~ ld__(X1,w)
| ~ ld__(X1,g(a,c)) ) ).
cnf(u491,negated_conjecture,
( sP2(X1,X0,X2)
| ~ p(X1,X0,X2)
| ~ ld__(X2,k)
| ~ ld__(X0,lkg)
| sP1(X1,X0,X2)
| sP0(X1,X0,X2)
| ~ ld__(X2,c) ) ).
cnf(u170,axiom,
ld__(pig,a) ).
cnf(u2045,negated_conjecture,
( ~ p(X0,X1,X2)
| ~ ld__(X0,k)
| ~ ld__(X1,g(e,e))
| ~ ld__(X0,a)
| ~ ld__(X2,b)
| ~ ld__(X1,g(a,c)) ) ).
cnf(u599,negated_conjecture,
( sP0(X2,X1,X0)
| ~ ld__(X1,lkg)
| ~ p(X2,X1,X0)
| ~ ld__(X0,k)
| ~ ld__(X2,a)
| ~ ld__(X0,b)
| ~ ld__(X0,g(b,b)) ) ).
cnf(u200,axiom,
ld__(pig,g(X0,X1)) ).
cnf(u564,negated_conjecture,
( sP2(X1,X0,X2)
| ~ p(X1,X0,X2)
| ~ ld__(X0,g(e,e))
| ~ ld__(X0,lkg)
| sP1(X1,X0,X2)
| sP0(X1,X0,X2)
| ~ ld__(X0,b) ) ).
cnf(u169,axiom,
ld__(a,pet(X0)) ).
cnf(u225,axiom,
ld__(aparna,w) ).
cnf(u555,negated_conjecture,
( sP2(X0,X1,X2)
| ~ p(X0,X1,X2)
| ~ ld__(X1,g(e,e))
| ~ ld__(X0,k)
| sP1(X0,X1,X2)
| sP0(X0,X1,X2)
| ~ ld__(X2,c) ) ).
cnf(u834,negated_conjecture,
( sP0(X0,X2,X1)
| ~ ld__(X1,hill)
| ~ p(X0,X2,X1)
| ~ ld__(X0,h(d))
| ~ ld__(X0,a)
| ~ ld__(X2,w) ) ).
cnf(u194,axiom,
ld__(pig,e) ).
cnf(u163,axiom,
p(a,a,a) ).
cnf(u925,negated_conjecture,
( sP0(X2,X1,X0)
| ~ ld__(X1,lkg)
| ~ p(X2,X1,X0)
| ~ ld__(X0,k)
| ~ ld__(X0,c)
| ~ ld__(X2,g(e,e))
| ~ ld__(X0,g(b,b)) ) ).
cnf(u645,negated_conjecture,
( sP1(X0,X1,X2)
| ~ ld__(X0,h(d))
| ~ ld__(X1,lkg)
| ~ p(X0,X1,X2)
| sP0(X0,X1,X2)
| ~ ld__(X1,b)
| ~ ld__(X2,b) ) ).
cnf(u2064,negated_conjecture,
( ~ p(X0,X1,X2)
| ~ ld__(X0,k)
| ~ ld__(X1,g(e,e))
| ~ ld__(X1,b)
| ~ ld__(X1,w)
| ~ ld__(X1,g(a,c))
| ~ ld__(X2,a) ) ).
cnf(u166,axiom,
ld__(cow,a) ).
cnf(u979,negated_conjecture,
( sP0(X1,X0,X2)
| ~ ld__(X1,k)
| ~ p(X1,X0,X2)
| ~ ld__(X0,g(e,e))
| ~ ld__(X2,c)
| ~ ld__(X2,b)
| ~ ld__(X0,g(a,c)) ) ).
cnf(u196,axiom,
ld__(cow,g(X0,X1)) ).
cnf(u544,negated_conjecture,
( sP2(X1,X2,X0)
| ~ p(X1,X2,X0)
| ~ ld__(X1,h(d))
| ~ ld__(X0,hill)
| sP1(X1,X2,X0)
| sP0(X1,X2,X0)
| ~ ld__(X2,b) ) ).
cnf(u165,axiom,
ld__(aparna,a) ).
cnf(u1185,negated_conjecture,
( sP0(X1,X0,X2)
| ~ ld__(X0,lkg)
| ~ p(X1,X0,X2)
| ~ ld__(X0,g(e,e))
| ~ ld__(X0,b)
| ~ ld__(X1,g(e,e))
| ~ ld__(X0,g(a,c)) ) ).
cnf(u859,negated_conjecture,
( ~ p(X0,X1,X2)
| ~ ld__(X0,k)
| ~ ld__(X0,h(d))
| ~ ld__(X2,c)
| ~ ld__(X1,w)
| ~ ld__(X2,a) ) ).
cnf(u1006,negated_conjecture,
( sP0(X1,X0,X2)
| ~ ld__(X0,lkg)
| ~ p(X1,X0,X2)
| ~ ld__(X0,g(e,e))
| ~ ld__(X0,b)
| ~ ld__(X0,w)
| ~ ld__(X2,g(b,b)) ) ).
cnf(u312,negated_conjecture,
( sP2(X0,X1,X2)
| ~ ld__(X0,k)
| ~ p(X0,X1,X2)
| ~ ld__(X2,k)
| ~ ld__(X0,a)
| sP1(X0,X1,X2)
| sP0(X0,X1,X2) ) ).
cnf(u159,axiom,
p(g(e,e),w,b) ).
cnf(u2499,negated_conjecture,
( ~ p(X1,X2,X0)
| ~ ld__(X0,hill)
| ~ ld__(X2,g(e,e))
| ~ ld__(X1,a)
| ~ ld__(X1,g(e,e))
| ~ ld__(X2,g(a,c)) ) ).
cnf(u1491,negated_conjecture,
( ~ p(X1,X0,X2)
| ~ ld__(X0,lkg)
| ~ ld__(X2,k)
| ~ ld__(X0,b)
| ~ ld__(X0,w)
| ~ ld__(X0,g(a,c))
| ~ ld__(X2,a) ) ).
cnf(u598,negated_conjecture,
( sP0(X2,X1,X0)
| ~ ld__(X1,lkg)
| ~ p(X2,X1,X0)
| ~ ld__(X0,k)
| ~ ld__(X2,a)
| ~ ld__(X0,b)
| ~ ld__(X1,g(a,c)) ) ).
cnf(u273,axiom,
ld__(k,e) ).
cnf(u2471,negated_conjecture,
( ~ p(X1,X0,X2)
| ~ ld__(X0,lkg)
| ~ ld__(X0,g(e,e))
| ~ ld__(X0,b)
| ~ ld__(X1,g(e,e))
| ~ ld__(X2,g(b,b))
| ~ ld__(X2,a) ) ).
cnf(u306,negated_conjecture,
( sP4(X0,X1,X2)
| ~ ld__(X0,k)
| ~ p(X0,X1,X2)
| sP3(X0,X1,X2)
| sP2(X0,X1,X2)
| sP1(X0,X1,X2)
| sP0(X0,X1,X2) ) ).
cnf(u597,negated_conjecture,
( sP1(X0,X1,X2)
| ~ ld__(X2,k)
| ~ ld__(X1,lkg)
| ~ p(X0,X1,X2)
| sP0(X0,X1,X2)
| ~ ld__(X2,c)
| ~ ld__(X2,b) ) ).
cnf(u905,negated_conjecture,
( sP0(X0,X1,X2)
| ~ ld__(X2,k)
| ~ ld__(X0,k)
| ~ ld__(X0,g(e,e))
| ~ p(X0,X1,X2)
| ~ ld__(X2,c)
| ~ ld__(X1,g(a,c)) ) ).
cnf(u2480,negated_conjecture,
( ~ p(X1,X0,X2)
| ~ ld__(X0,lkg)
| ~ ld__(X0,g(e,e))
| ~ ld__(X2,c)
| ~ ld__(X1,g(e,e))
| ~ ld__(X0,g(a,c))
| ~ ld__(X2,a) ) ).
cnf(u613,negated_conjecture,
( sP1(X0,X1,X2)
| ~ ld__(X2,k)
| ~ ld__(X2,hill)
| ~ p(X0,X1,X2)
| sP0(X0,X1,X2)
| ~ ld__(X2,c)
| ~ ld__(X0,g(e,e)) ) ).
cnf(u490,negated_conjecture,
( sP2(X1,X0,X2)
| ~ p(X1,X0,X2)
| ~ ld__(X2,k)
| ~ ld__(X0,lkg)
| sP1(X1,X0,X2)
| sP0(X1,X0,X2)
| ~ ld__(X0,b) ) ).
cnf(u267,axiom,
ld__(d,e) ).
cnf(u1420,negated_conjecture,
( ~ p(X0,X1,X2)
| ~ ld__(X0,k)
| ~ ld__(X2,k)
| ~ ld__(X1,b)
| ~ ld__(X1,w)
| ~ ld__(X1,g(a,c))
| ~ ld__(X1,a) ) ).
cnf(u308,negated_conjecture,
( sP3(X2,X1,X0)
| ~ ld__(X1,lkg)
| ~ p(X2,X1,X0)
| ~ ld__(X0,k)
| sP2(X2,X1,X0)
| sP1(X2,X1,X0)
| sP0(X2,X1,X0) ) ).
cnf(u782,negated_conjecture,
( sP0(X0,X1,X2)
| ~ ld__(X0,k)
| ~ p(X0,X1,X2)
| ~ ld__(X0,h(d))
| ~ ld__(X2,c)
| ~ ld__(X2,b) ) ).
cnf(u1232,negated_conjecture,
( ~ p(X0,X1,X2)
| ~ ld__(X0,k)
| ~ ld__(X0,h(d))
| ~ ld__(X1,b)
| ~ ld__(X0,g(e,e))
| ~ ld__(X2,a) ) ).
cnf(u1119,negated_conjecture,
( sP0(X0,X1,X2)
| ~ ld__(X1,lkg)
| ~ p(X0,X1,X2)
| ~ ld__(X0,h(d))
| ~ ld__(X2,c)
| ~ ld__(X0,g(e,e)) ) ).
cnf(u269,axiom,
ld__(e,w) ).
cnf(u2161,negated_conjecture,
( ~ p(X1,X0,X2)
| ~ ld__(X0,lkg)
| ~ ld__(X0,g(e,e))
| ~ ld__(X0,b)
| ~ ld__(X0,w)
| ~ ld__(X2,g(b,b))
| ~ ld__(X2,a) ) ).
cnf(u302,axiom,
( ~ sP0(X0,X1,X2)
| ~ ld__(X1,a) ) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : MSC016+1 : TPTP v9.3.1. Released v3.5.0.
% 0.00/0.06 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.13/0.41 % Computer : n008.cluster.edu
% 0.13/0.41 % Model : x86_64 x86_64
% 0.13/0.41 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.41 % Memory : 8046.5625MB
% 0.13/0.41 % OS : Linux 6.8.0-71-generic
% 0.13/0.41 % CPULimit : 300
% 0.13/0.41 % WCLimit : 300
% 0.13/0.41 % DateTime : Sun Sep 27 17:43:39 UTC 2026
% 0.13/0.41 % CPUTime :
% 0.13/0.41 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.13/0.47 Running first-order theorem proving
% 0.13/0.47 Running: /export/starexec/sandbox2/solver/bin/vampire --input_syntax tptp --output_axiom_names on --mode casc -m 16384 --cores 7 -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 1.12/1.70 % (1490553)Detected formulas, will run a generic FOF schedule.
% 1.12/1.70 % (1490561)lrs+11_1_ncem=casc2026/models/loop8.pt:sil=128000:npcc=on:lma=off:spb=units:urr=ec_only:bce=on:s2agt=64:updr=off:random_seed=1070280169:i=134677:sd=20:aac=none:nm=16:ss=included:sgt=10_2999 on theBenchmark for (2999ds/134677Mi)
% 1.12/1.70 % (1490566)dis-21_1_sil=8000:lcm=predicate:random_seed=505372946:st=5:avsq=on:i=129:avsqr=1,16:sd=3:aac=none:ep=RS:fsr=off:ss=included_2999 on theBenchmark for (2999ds/129Mi)
% 1.12/1.70 % (1490566)First to succeed.
% 1.12/1.70 % (1490564)dis-1010_2:3_sil=16000:sp=reverse_frequency:random_seed=2434344685:i=119:av=off:ss=axioms_2999 on theBenchmark for (2999ds/119Mi)
% 1.12/1.70 % (1490563)lrs+1010_1_to=lpo:sil=32000:sos=on:spb=goal_then_units:bce=on:random_seed=3745366957:i=109:sd=1:ins=1:gsp=on:ss=axioms_2999 on theBenchmark for (2999ds/109Mi)
% 1.12/1.70 % (1490562)lrs+1010_1_anc=all:sfv=off:to=kbo:ncem=casc2026/models/loop7.pt:sil=128000:npcc=on:prc=on:sos=all:bsr=unit_only:sac=on:random_seed=3587417507:i=141695:sd=1:nm=32:gsp=on:ss=included_2999 on theBenchmark for (2999ds/141695Mi)
% 1.12/1.70 % (1490565)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=2064327999:s2a=on:i=139:gtg=position_2999 on theBenchmark for (2999ds/139Mi)
% 1.12/1.70 % (1490560)lrs+10_1_ncem=casc2026/models/loop8.pt:sil=128000:tgt=full:npcc=on:drc=off:sp=weighted_frequency:spb=goal:fd=preordered:foolp=on:random_seed=1347303080:i=141193_2999 on theBenchmark for (2999ds/141193Mi)
% 1.12/1.70 % (1490563)Refutation not found, incomplete strategy
% 1.12/1.70 % (1490563)------------------------------
% 1.12/1.70 % (1490563)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 1.12/1.70 % (1490563)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.12/1.70 % (1490563)CaDiCaL version: 2.1.3
% 1.12/1.70 % (1490563)Termination reason: Refutation not found, incomplete strategy
% 1.12/1.70 % (1490563)Time elapsed: 0.007 s
% 1.12/1.70 % (1490563)Peak memory usage: 88 MB
% 1.12/1.70 % (1490563)Instructions burned: 6 (million)
% 1.12/1.70 % (1490566)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-1490553"
% 1.12/1.70 % (1490565)Refutation not found, incomplete strategy
% 1.12/1.70 % (1490565)------------------------------
% 1.12/1.70 % (1490565)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 1.12/1.70 % (1490565)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.12/1.70 % (1490565)CaDiCaL version: 2.1.3
% 1.12/1.70 % (1490565)Termination reason: Refutation not found, incomplete strategy
% 1.12/1.70 % (1490565)Time elapsed: 0.090 s
% 1.12/1.70 % (1490565)Peak memory usage: 91 MB
% 1.12/1.70 % (1490565)Instructions burned: 99 (million)
% 1.12/1.70 % (1490564)Instruction limit reached!
% 1.12/1.70 % (1490564)------------------------------
% 1.12/1.70 % (1490564)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 1.12/1.70 % (1490564)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.12/1.70 % (1490564)CaDiCaL version: 2.1.3
% 1.12/1.70 % (1490564)Termination reason: Instruction limit
% 1.12/1.70 % (1490564)Termination phase: Saturation
% 1.12/1.70 % (1490564)Time elapsed: 0.106 s
% 1.12/1.70 % (1490564)Peak memory usage: 88 MB
% 1.12/1.70 % (1490564)Instructions burned: 119 (million)
% 1.12/1.70 % (1490574)lrs+10_1_sil=8000:sp=occurrence:random_seed=2369825145:i=285:sd=3:ss=axioms:sgt=8_2996 on theBenchmark for (2996ds/285Mi)
% 1.12/1.70 % (1490574)Refutation not found, incomplete strategy
% 1.12/1.70 % (1490574)------------------------------
% 1.12/1.70 % (1490574)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 1.12/1.70 % (1490574)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.12/1.70 % (1490574)CaDiCaL version: 2.1.3
% 1.12/1.70 % (1490574)Termination reason: Refutation not found, incomplete strategy
% 1.12/1.70 % (1490574)Time elapsed: 0.010 s
% 1.12/1.70 % (1490574)Peak memory usage: 88 MB
% 1.12/1.70 % (1490574)Instructions burned: 9 (million)
% 1.12/1.70 % (1490563)------------------------------
% 1.12/1.70 % (1490563)------------------------------
% 1.12/1.70 % SZS status CounterSatisfiable for theBenchmark
% 1.12/1.70 % SZS output start Saturation.
% See solution above
% 5.60/1.92 % SZS output start Definitions and Model Updates.
% 5.60/1.92 for all inputs,
% 5.60/1.92 define flower(X0) := $true
% 5.60/1.92 for all inputs,
% 5.60/1.92 define animal(X0) := $true
% 5.60/1.92 % SZS output end Definitions and Model Updates.
% 5.60/1.92 % (1490566)------------------------------
% 5.60/1.92 % (1490566)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.60/1.92 % (1490566)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.60/1.92 % (1490566)CaDiCaL version: 2.1.3
% 5.60/1.92 % (1490566)Termination reason: Satisfiable
% 5.60/1.92 % (1490566)Time elapsed: 0.100 s
% 5.60/1.92 % (1490566)Peak memory usage: 89 MB
% 5.60/1.92 % (1490566)Instructions burned: 115 (million)
% 5.60/1.92 % (1490566)------------------------------
% 5.60/1.92 % (1490566)------------------------------
% 5.60/1.92 % (1490553)Success in time 0.682 s
% 5.60/1.92 % Vampire exiting
%------------------------------------------------------------------------------