TSTP Solution File: SYN159-1 by Metis---2.4
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Metis---2.4
% Problem : SYN159-1 : TPTP v8.1.0. Released v1.1.0.
% Transfm : none
% Format : tptp:raw
% Command : metis --show proof --show saturation %s
% Computer : n024.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 : 600s
% DateTime : Thu Jul 21 09:00:05 EDT 2022
% Result : Unsatisfiable 0.45s 0.62s
% Output : CNFRefutation 0.45s
% Verified :
% SZS Type : Refutation
% Derivation depth : 26
% Number of leaves : 65
% Syntax : Number of clauses : 278 ( 117 unt; 0 nHn; 197 RR)
% Number of literals : 533 ( 0 equ; 256 neg)
% Maximal clause size : 5 ( 1 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of predicates : 32 ( 31 usr; 1 prp; 0-3 aty)
% Number of functors : 5 ( 5 usr; 5 con; 0-0 aty)
% Number of variables : 309 ( 109 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(axiom_1,axiom,
s0(d) ).
cnf(axiom_5,axiom,
s0(b) ).
cnf(axiom_7,axiom,
n0(d,b) ).
cnf(axiom_9,axiom,
r0(b) ).
cnf(axiom_12,axiom,
m0(a,X,a) ).
cnf(axiom_13,axiom,
r0(e) ).
cnf(axiom_14,axiom,
p0(b,X) ).
cnf(axiom_15,axiom,
n0(a,b) ).
cnf(axiom_17,axiom,
q0(X,d) ).
cnf(axiom_18,axiom,
p0(c,b) ).
cnf(axiom_19,axiom,
m0(X,d,Y) ).
cnf(axiom_20,axiom,
l0(a) ).
cnf(axiom_24,axiom,
l0(c) ).
cnf(axiom_26,axiom,
n0(d,c) ).
cnf(axiom_28,axiom,
k0(e) ).
cnf(axiom_32,axiom,
k0(b) ).
cnf(axiom_35,axiom,
m0(d,e,c) ).
cnf(axiom_36,axiom,
q0(a,b) ).
cnf(axiom_37,axiom,
n0(b,a) ).
cnf(rule_001,axiom,
( k1(I)
| ~ n0(J,I) ) ).
cnf(rule_002,axiom,
( l1(G,G)
| ~ n0(H,G) ) ).
cnf(rule_006,axiom,
( m1(J,J,J)
| ~ m0(A,A,J) ) ).
cnf(rule_016,axiom,
( m1(H,I,I)
| ~ m1(J,I,H)
| ~ m1(J,A,I) ) ).
cnf(rule_021,axiom,
( m1(I,J,I)
| ~ l0(I)
| ~ k0(J) ) ).
cnf(rule_024,axiom,
( m1(F,a,G)
| ~ m0(a,H,a)
| ~ q0(F,G)
| ~ m1(G,c,G) ) ).
cnf(rule_029,axiom,
( m1(H,I,H)
| ~ p0(H,I)
| ~ s0(H) ) ).
cnf(rule_063,axiom,
( p1(D,D,E)
| ~ n0(d,D)
| ~ k0(E) ) ).
cnf(rule_075,axiom,
( p1(a,a,a)
| ~ p0(b,a) ) ).
cnf(rule_082,axiom,
( p1(H,I,J)
| ~ m0(J,H,A)
| ~ p1(J,H,A) ) ).
cnf(rule_085,axiom,
( p1(B,B,B)
| ~ p0(C,B) ) ).
cnf(rule_095,axiom,
( q1(F,G,G)
| ~ p0(G,F) ) ).
cnf(rule_107,axiom,
( q1(e,A,A)
| ~ m0(A,d,A)
| ~ m0(e,d,A) ) ).
cnf(rule_110,axiom,
( q1(B,B,B)
| ~ m0(C,D,B) ) ).
cnf(rule_113,axiom,
( q1(H,H,I)
| ~ r0(J)
| ~ m1(H,I,I) ) ).
cnf(rule_124,axiom,
( r1(D)
| ~ q0(D,E)
| ~ s0(d)
| ~ q1(d,E,d) ) ).
cnf(rule_125,axiom,
( s1(I)
| ~ p0(I,I) ) ).
cnf(rule_126,axiom,
( s1(F)
| ~ q0(F,G)
| ~ s1(H) ) ).
cnf(rule_127,axiom,
( k2(C,D)
| ~ m1(E,D,C)
| ~ k1(F)
| ~ k2(F,D) ) ).
cnf(rule_129,axiom,
( k2(J,J)
| ~ q1(A,J,J) ) ).
cnf(rule_133,axiom,
( l2(J,J)
| ~ p0(A,A)
| ~ s1(B)
| ~ m0(C,B,J) ) ).
cnf(rule_145,axiom,
( p2(e,G,H)
| ~ r0(e)
| ~ p1(G,H,e) ) ).
cnf(rule_146,axiom,
( p2(C,D,D)
| ~ p1(C,E,F)
| ~ l1(E,F)
| ~ p2(C,D,C) ) ).
cnf(rule_150,axiom,
( p2(F,F,F)
| ~ m1(G,G,F) ) ).
cnf(rule_155,axiom,
( p2(H,I,I)
| ~ k1(J)
| ~ p2(e,H,I) ) ).
cnf(rule_176,axiom,
( p2(D,E,D)
| ~ m1(E,D,E) ) ).
cnf(rule_177,axiom,
( q2(E,F,F)
| ~ k0(F)
| ~ p1(E,E,E) ) ).
cnf(rule_181,axiom,
( q2(I,I,I)
| ~ p1(I,I,I) ) ).
cnf(rule_187,axiom,
( q2(C,D,C)
| ~ r1(D)
| ~ m0(E,F,C)
| ~ k0(D)
| ~ q2(D,D,D) ) ).
cnf(rule_188,axiom,
( r2(G)
| ~ r1(G)
| ~ l0(G) ) ).
cnf(rule_190,axiom,
( s2(d)
| ~ s1(a)
| ~ s0(d) ) ).
cnf(rule_194,axiom,
( k3(F,F,G)
| ~ k2(G,F) ) ).
cnf(rule_238,axiom,
( m3(I,I,I)
| ~ p2(I,I,I) ) ).
cnf(rule_251,axiom,
( p3(A,B,B)
| ~ m3(B,C,D)
| ~ p2(A,B,D) ) ).
cnf(rule_255,axiom,
( q3(G,H)
| ~ q2(I,G,H)
| ~ n0(I,G) ) ).
cnf(rule_260,axiom,
( r3(G,H,H)
| ~ s2(H)
| ~ l2(c,G) ) ).
cnf(rule_267,axiom,
( r3(B,C,B)
| ~ p2(B,D,C) ) ).
cnf(rule_272,axiom,
( r3(J,A,B)
| ~ k2(A,B)
| ~ r2(B)
| ~ r3(B,J,J) ) ).
cnf(rule_276,axiom,
( k4(e)
| ~ q3(C,C)
| ~ q1(a,a,D)
| ~ r3(C,e,D) ) ).
cnf(rule_281,axiom,
( n4(J,A)
| ~ p3(J,A,A)
| ~ n4(J,J) ) ).
cnf(rule_284,axiom,
( n4(H,H)
| ~ k4(I)
| ~ m3(H,H,H) ) ).
cnf(rule_285,axiom,
( p4(G,G,H)
| ~ r0(G)
| ~ r3(H,G,H) ) ).
cnf(rule_295,axiom,
( q4(B,C)
| ~ k3(D,D,B)
| ~ q2(E,C,B)
| ~ m3(E,F,E) ) ).
cnf(rule_307,axiom,
( n5(B,C)
| ~ q4(D,E)
| ~ n4(B,E)
| ~ p4(F,F,C)
| ~ n5(F,C) ) ).
cnf(rule_312,axiom,
( n5(b,e)
| ~ r3(d,b,c)
| ~ n4(b,e) ) ).
cnf(prove_this,negated_conjecture,
~ n5(a,e) ).
cnf(refute_0_0,plain,
( ~ n4(X_459,X_459)
| ~ p3(X_459,A,A)
| n4(X_459,A) ),
inference(subst,[],[rule_281:[bind(J,$fot(X_459))]]) ).
cnf(refute_0_1,plain,
( ~ p2(X_101,X_101,X_101)
| m3(X_101,X_101,X_101) ),
inference(subst,[],[rule_238:[bind(I,$fot(X_101))]]) ).
cnf(refute_0_2,plain,
( ~ m1(X_100,X_100,X_100)
| p2(X_100,X_100,X_100) ),
inference(subst,[],[rule_150:[bind(F,$fot(X_100)),bind(G,$fot(X_100))]]) ).
cnf(refute_0_3,plain,
m0(d,d,X_99),
inference(subst,[],[axiom_19:[bind(X,$fot(d)),bind(Y,$fot(X_99))]]) ).
cnf(refute_0_4,plain,
( ~ m0(d,d,X_99)
| m1(X_99,X_99,X_99) ),
inference(subst,[],[rule_006:[bind(A,$fot(d)),bind(J,$fot(X_99))]]) ).
cnf(refute_0_5,plain,
m1(X_99,X_99,X_99),
inference(resolve,[$cnf( m0(d,d,X_99) )],[refute_0_3,refute_0_4]) ).
cnf(refute_0_6,plain,
m1(X_100,X_100,X_100),
inference(subst,[],[refute_0_5:[bind(X_99,$fot(X_100))]]) ).
cnf(refute_0_7,plain,
p2(X_100,X_100,X_100),
inference(resolve,[$cnf( m1(X_100,X_100,X_100) )],[refute_0_6,refute_0_2]) ).
cnf(refute_0_8,plain,
p2(X_101,X_101,X_101),
inference(subst,[],[refute_0_7:[bind(X_100,$fot(X_101))]]) ).
cnf(refute_0_9,plain,
m3(X_101,X_101,X_101),
inference(resolve,[$cnf( p2(X_101,X_101,X_101) )],[refute_0_8,refute_0_1]) ).
cnf(refute_0_10,plain,
m3(H,H,H),
inference(subst,[],[refute_0_9:[bind(X_101,$fot(H))]]) ).
cnf(refute_0_11,plain,
( ~ k4(I)
| n4(H,H) ),
inference(resolve,[$cnf( m3(H,H,H) )],[refute_0_10,rule_284]) ).
cnf(refute_0_12,plain,
( ~ k4(e)
| n4(H,H) ),
inference(subst,[],[refute_0_11:[bind(I,$fot(e))]]) ).
cnf(refute_0_13,plain,
( ~ p2(b,e,e)
| r3(b,e,b) ),
inference(subst,[],[rule_267:[bind(B,$fot(b)),bind(C,$fot(e)),bind(D,$fot(e))]]) ).
cnf(refute_0_14,plain,
( ~ n0(b,a)
| k1(a) ),
inference(subst,[],[rule_001:[bind(I,$fot(a)),bind(J,$fot(b))]]) ).
cnf(refute_0_15,plain,
k1(a),
inference(resolve,[$cnf( n0(b,a) )],[axiom_37,refute_0_14]) ).
cnf(refute_0_16,plain,
( ~ m1(b,X_187,b)
| p2(X_187,b,X_187) ),
inference(subst,[],[rule_176:[bind(D,$fot(X_187)),bind(E,$fot(b))]]) ).
cnf(refute_0_17,plain,
p0(b,X_186),
inference(subst,[],[axiom_14:[bind(X,$fot(X_186))]]) ).
cnf(refute_0_18,plain,
( ~ p0(b,X_186)
| ~ s0(b)
| m1(b,X_186,b) ),
inference(subst,[],[rule_029:[bind(H,$fot(b)),bind(I,$fot(X_186))]]) ).
cnf(refute_0_19,plain,
( ~ s0(b)
| m1(b,X_186,b) ),
inference(resolve,[$cnf( p0(b,X_186) )],[refute_0_17,refute_0_18]) ).
cnf(refute_0_20,plain,
m1(b,X_186,b),
inference(resolve,[$cnf( s0(b) )],[axiom_5,refute_0_19]) ).
cnf(refute_0_21,plain,
m1(b,X_187,b),
inference(subst,[],[refute_0_20:[bind(X_186,$fot(X_187))]]) ).
cnf(refute_0_22,plain,
p2(X_187,b,X_187),
inference(resolve,[$cnf( m1(b,X_187,b) )],[refute_0_21,refute_0_16]) ).
cnf(refute_0_23,plain,
p2(e,b,e),
inference(subst,[],[refute_0_22:[bind(X_187,$fot(e))]]) ).
cnf(refute_0_24,plain,
( ~ k1(X_318)
| ~ p2(e,b,e)
| p2(b,e,e) ),
inference(subst,[],[rule_155:[bind(H,$fot(b)),bind(I,$fot(e)),bind(J,$fot(X_318))]]) ).
cnf(refute_0_25,plain,
( ~ k1(X_318)
| p2(b,e,e) ),
inference(resolve,[$cnf( p2(e,b,e) )],[refute_0_23,refute_0_24]) ).
cnf(refute_0_26,plain,
( ~ k1(a)
| p2(b,e,e) ),
inference(subst,[],[refute_0_25:[bind(X_318,$fot(a))]]) ).
cnf(refute_0_27,plain,
p2(b,e,e),
inference(resolve,[$cnf( k1(a) )],[refute_0_15,refute_0_26]) ).
cnf(refute_0_28,plain,
r3(b,e,b),
inference(resolve,[$cnf( p2(b,e,e) )],[refute_0_27,refute_0_13]) ).
cnf(refute_0_29,plain,
( ~ q1(a,a,b)
| ~ q3(b,b)
| ~ r3(b,e,b)
| k4(e) ),
inference(subst,[],[rule_276:[bind(C,$fot(b)),bind(D,$fot(b))]]) ).
cnf(refute_0_30,plain,
( ~ q1(a,a,b)
| ~ q3(b,b)
| k4(e) ),
inference(resolve,[$cnf( r3(b,e,b) )],[refute_0_28,refute_0_29]) ).
cnf(refute_0_31,plain,
p0(b,X_68),
inference(subst,[],[axiom_14:[bind(X,$fot(X_68))]]) ).
cnf(refute_0_32,plain,
( ~ p0(b,X_68)
| p1(X_68,X_68,X_68) ),
inference(subst,[],[rule_085:[bind(B,$fot(X_68)),bind(C,$fot(b))]]) ).
cnf(refute_0_33,plain,
p1(X_68,X_68,X_68),
inference(resolve,[$cnf( p0(b,X_68) )],[refute_0_31,refute_0_32]) ).
cnf(refute_0_34,plain,
p1(E,E,E),
inference(subst,[],[refute_0_33:[bind(X_68,$fot(E))]]) ).
cnf(refute_0_35,plain,
( ~ k0(F)
| q2(E,F,F) ),
inference(resolve,[$cnf( p1(E,E,E) )],[refute_0_34,rule_177]) ).
cnf(refute_0_36,plain,
( ~ k0(b)
| q2(X_232,b,b) ),
inference(subst,[],[refute_0_35:[bind(E,$fot(X_232)),bind(F,$fot(b))]]) ).
cnf(refute_0_37,plain,
q2(X_232,b,b),
inference(resolve,[$cnf( k0(b) )],[axiom_32,refute_0_36]) ).
cnf(refute_0_38,plain,
q2(X_327,b,b),
inference(subst,[],[refute_0_37:[bind(X_232,$fot(X_327))]]) ).
cnf(refute_0_39,plain,
( ~ n0(X_327,b)
| ~ q2(X_327,b,b)
| q3(b,b) ),
inference(subst,[],[rule_255:[bind(G,$fot(b)),bind(H,$fot(b)),bind(I,$fot(X_327))]]) ).
cnf(refute_0_40,plain,
( ~ n0(X_327,b)
| q3(b,b) ),
inference(resolve,[$cnf( q2(X_327,b,b) )],[refute_0_38,refute_0_39]) ).
cnf(refute_0_41,plain,
( ~ n0(a,b)
| q3(b,b) ),
inference(subst,[],[refute_0_40:[bind(X_327,$fot(a))]]) ).
cnf(refute_0_42,plain,
q3(b,b),
inference(resolve,[$cnf( n0(a,b) )],[axiom_15,refute_0_41]) ).
cnf(refute_0_43,plain,
( ~ q1(a,a,b)
| k4(e) ),
inference(resolve,[$cnf( q3(b,b) )],[refute_0_42,refute_0_30]) ).
cnf(refute_0_44,plain,
( ~ m1(a,b,b)
| ~ r0(J)
| q1(a,a,b) ),
inference(subst,[],[rule_113:[bind(H,$fot(a)),bind(I,$fot(b))]]) ).
cnf(refute_0_45,plain,
m1(b,c,b),
inference(subst,[],[refute_0_20:[bind(X_186,$fot(c))]]) ).
cnf(refute_0_46,plain,
m0(a,H,a),
inference(subst,[],[axiom_12:[bind(X,$fot(H))]]) ).
cnf(refute_0_47,plain,
( ~ m1(G,c,G)
| ~ q0(F,G)
| m1(F,a,G) ),
inference(resolve,[$cnf( m0(a,H,a) )],[refute_0_46,rule_024]) ).
cnf(refute_0_48,plain,
( ~ m1(b,c,b)
| ~ q0(X_259,b)
| m1(X_259,a,b) ),
inference(subst,[],[refute_0_47:[bind(F,$fot(X_259)),bind(G,$fot(b))]]) ).
cnf(refute_0_49,plain,
( ~ q0(X_259,b)
| m1(X_259,a,b) ),
inference(resolve,[$cnf( m1(b,c,b) )],[refute_0_45,refute_0_48]) ).
cnf(refute_0_50,plain,
( ~ q0(a,b)
| m1(a,a,b) ),
inference(subst,[],[refute_0_49:[bind(X_259,$fot(a))]]) ).
cnf(refute_0_51,plain,
m1(a,a,b),
inference(resolve,[$cnf( q0(a,b) )],[axiom_36,refute_0_50]) ).
cnf(refute_0_52,plain,
( ~ k0(X_171)
| ~ l0(a)
| m1(a,X_171,a) ),
inference(subst,[],[rule_021:[bind(I,$fot(a)),bind(J,$fot(X_171))]]) ).
cnf(refute_0_53,plain,
( ~ k0(X_171)
| m1(a,X_171,a) ),
inference(resolve,[$cnf( l0(a) )],[axiom_20,refute_0_52]) ).
cnf(refute_0_54,plain,
( ~ k0(b)
| m1(a,b,a) ),
inference(subst,[],[refute_0_53:[bind(X_171,$fot(b))]]) ).
cnf(refute_0_55,plain,
m1(a,b,a),
inference(resolve,[$cnf( k0(b) )],[axiom_32,refute_0_54]) ).
cnf(refute_0_56,plain,
( ~ m1(a,X_436,b)
| ~ m1(a,b,a)
| m1(a,b,b) ),
inference(subst,[],[rule_016:[bind(A,$fot(X_436)),bind(H,$fot(a)),bind(I,$fot(b)),bind(J,$fot(a))]]) ).
cnf(refute_0_57,plain,
( ~ m1(a,X_436,b)
| m1(a,b,b) ),
inference(resolve,[$cnf( m1(a,b,a) )],[refute_0_55,refute_0_56]) ).
cnf(refute_0_58,plain,
( ~ m1(a,a,b)
| m1(a,b,b) ),
inference(subst,[],[refute_0_57:[bind(X_436,$fot(a))]]) ).
cnf(refute_0_59,plain,
m1(a,b,b),
inference(resolve,[$cnf( m1(a,a,b) )],[refute_0_51,refute_0_58]) ).
cnf(refute_0_60,plain,
( ~ r0(J)
| q1(a,a,b) ),
inference(resolve,[$cnf( m1(a,b,b) )],[refute_0_59,refute_0_44]) ).
cnf(refute_0_61,plain,
( ~ r0(b)
| q1(a,a,b) ),
inference(subst,[],[refute_0_60:[bind(J,$fot(b))]]) ).
cnf(refute_0_62,plain,
q1(a,a,b),
inference(resolve,[$cnf( r0(b) )],[axiom_9,refute_0_61]) ).
cnf(refute_0_63,plain,
k4(e),
inference(resolve,[$cnf( q1(a,a,b) )],[refute_0_62,refute_0_43]) ).
cnf(refute_0_64,plain,
n4(H,H),
inference(resolve,[$cnf( k4(e) )],[refute_0_63,refute_0_12]) ).
cnf(refute_0_65,plain,
n4(X_459,X_459),
inference(subst,[],[refute_0_64:[bind(H,$fot(X_459))]]) ).
cnf(refute_0_66,plain,
( ~ p3(X_459,A,A)
| n4(X_459,A) ),
inference(resolve,[$cnf( n4(X_459,X_459) )],[refute_0_65,refute_0_0]) ).
cnf(refute_0_67,plain,
( ~ p3(X_970,b,b)
| n4(X_970,b) ),
inference(subst,[],[refute_0_66:[bind(A,$fot(b)),bind(X_459,$fot(X_970))]]) ).
cnf(refute_0_68,plain,
m3(X_560,X_560,X_560),
inference(subst,[],[refute_0_9:[bind(X_101,$fot(X_560))]]) ).
cnf(refute_0_69,plain,
( ~ m3(X_560,X_560,X_560)
| ~ p2(X_557,X_560,X_560)
| p3(X_557,X_560,X_560) ),
inference(subst,[],[rule_251:[bind(A,$fot(X_557)),bind(B,$fot(X_560)),bind(C,$fot(X_560)),bind(D,$fot(X_560))]]) ).
cnf(refute_0_70,plain,
( ~ p2(X_557,X_560,X_560)
| p3(X_557,X_560,X_560) ),
inference(resolve,[$cnf( m3(X_560,X_560,X_560) )],[refute_0_68,refute_0_69]) ).
cnf(refute_0_71,plain,
( ~ p2(X_968,b,b)
| p3(X_968,b,b) ),
inference(subst,[],[refute_0_70:[bind(X_557,$fot(X_968)),bind(X_560,$fot(b))]]) ).
cnf(refute_0_72,plain,
( ~ n0(b,a)
| l1(a,a) ),
inference(subst,[],[rule_002:[bind(G,$fot(a)),bind(H,$fot(b))]]) ).
cnf(refute_0_73,plain,
l1(a,a),
inference(resolve,[$cnf( n0(b,a) )],[axiom_37,refute_0_72]) ).
cnf(refute_0_74,plain,
p2(X_955,b,X_955),
inference(subst,[],[refute_0_22:[bind(X_187,$fot(X_955))]]) ).
cnf(refute_0_75,plain,
( ~ m0(a,X_497,a)
| ~ p1(a,X_497,a)
| p1(X_497,I,a) ),
inference(subst,[],[rule_082:[bind(A,$fot(a)),bind(H,$fot(X_497)),bind(J,$fot(a))]]) ).
cnf(refute_0_76,plain,
p0(b,a),
inference(subst,[],[axiom_14:[bind(X,$fot(a))]]) ).
cnf(refute_0_77,plain,
p1(a,a,a),
inference(resolve,[$cnf( p0(b,a) )],[refute_0_76,rule_075]) ).
cnf(refute_0_78,plain,
( ~ m0(a,a,a)
| ~ p1(a,a,a)
| p1(a,X_494,a) ),
inference(subst,[],[rule_082:[bind(A,$fot(a)),bind(H,$fot(a)),bind(I,$fot(X_494)),bind(J,$fot(a))]]) ).
cnf(refute_0_79,plain,
( ~ m0(a,a,a)
| p1(a,X_494,a) ),
inference(resolve,[$cnf( p1(a,a,a) )],[refute_0_77,refute_0_78]) ).
cnf(refute_0_80,plain,
m0(a,a,a),
inference(subst,[],[axiom_12:[bind(X,$fot(a))]]) ).
cnf(refute_0_81,plain,
p1(a,X_494,a),
inference(resolve,[$cnf( m0(a,a,a) )],[refute_0_80,refute_0_79]) ).
cnf(refute_0_82,plain,
p1(a,X_497,a),
inference(subst,[],[refute_0_81:[bind(X_494,$fot(X_497))]]) ).
cnf(refute_0_83,plain,
( ~ m0(a,X_497,a)
| p1(X_497,I,a) ),
inference(resolve,[$cnf( p1(a,X_497,a) )],[refute_0_82,refute_0_75]) ).
cnf(refute_0_84,plain,
m0(a,X_497,a),
inference(subst,[],[axiom_12:[bind(X,$fot(X_497))]]) ).
cnf(refute_0_85,plain,
p1(X_497,I,a),
inference(resolve,[$cnf( m0(a,X_497,a) )],[refute_0_84,refute_0_83]) ).
cnf(refute_0_86,plain,
p1(X_934,X_936,a),
inference(subst,[],[refute_0_85:[bind(I,$fot(X_936)),bind(X_497,$fot(X_934))]]) ).
cnf(refute_0_87,plain,
( ~ l1(X_936,a)
| ~ p1(X_934,X_936,a)
| ~ p2(X_934,X_935,X_934)
| p2(X_934,X_935,X_935) ),
inference(subst,[],[rule_146:[bind(C,$fot(X_934)),bind(D,$fot(X_935)),bind(E,$fot(X_936)),bind(F,$fot(a))]]) ).
cnf(refute_0_88,plain,
( ~ l1(X_936,a)
| ~ p2(X_934,X_935,X_934)
| p2(X_934,X_935,X_935) ),
inference(resolve,[$cnf( p1(X_934,X_936,a) )],[refute_0_86,refute_0_87]) ).
cnf(refute_0_89,plain,
( ~ l1(X_957,a)
| ~ p2(X_955,b,X_955)
| p2(X_955,b,b) ),
inference(subst,[],[refute_0_88:[bind(X_934,$fot(X_955)),bind(X_935,$fot(b)),bind(X_936,$fot(X_957))]]) ).
cnf(refute_0_90,plain,
( ~ l1(X_957,a)
| p2(X_955,b,b) ),
inference(resolve,[$cnf( p2(X_955,b,X_955) )],[refute_0_74,refute_0_89]) ).
cnf(refute_0_91,plain,
( ~ l1(a,a)
| p2(X_966,b,b) ),
inference(subst,[],[refute_0_90:[bind(X_955,$fot(X_966)),bind(X_957,$fot(a))]]) ).
cnf(refute_0_92,plain,
p2(X_966,b,b),
inference(resolve,[$cnf( l1(a,a) )],[refute_0_73,refute_0_91]) ).
cnf(refute_0_93,plain,
p2(X_968,b,b),
inference(subst,[],[refute_0_92:[bind(X_966,$fot(X_968))]]) ).
cnf(refute_0_94,plain,
p3(X_968,b,b),
inference(resolve,[$cnf( p2(X_968,b,b) )],[refute_0_93,refute_0_71]) ).
cnf(refute_0_95,plain,
p3(X_970,b,b),
inference(subst,[],[refute_0_94:[bind(X_968,$fot(X_970))]]) ).
cnf(refute_0_96,plain,
n4(X_970,b),
inference(resolve,[$cnf( p3(X_970,b,b) )],[refute_0_95,refute_0_67]) ).
cnf(refute_0_97,plain,
n4(X_1149,b),
inference(subst,[],[refute_0_96:[bind(X_970,$fot(X_1149))]]) ).
cnf(refute_0_98,plain,
( ~ p1(G,H,e)
| p2(e,G,H) ),
inference(resolve,[$cnf( r0(e) )],[axiom_13,rule_145]) ).
cnf(refute_0_99,plain,
( ~ p1(b,b,e)
| p2(e,b,b) ),
inference(subst,[],[refute_0_98:[bind(G,$fot(b)),bind(H,$fot(b))]]) ).
cnf(refute_0_100,plain,
( ~ k0(X_147)
| ~ n0(d,b)
| p1(b,b,X_147) ),
inference(subst,[],[rule_063:[bind(D,$fot(b)),bind(E,$fot(X_147))]]) ).
cnf(refute_0_101,plain,
( ~ k0(X_147)
| p1(b,b,X_147) ),
inference(resolve,[$cnf( n0(d,b) )],[axiom_7,refute_0_100]) ).
cnf(refute_0_102,plain,
( ~ k0(e)
| p1(b,b,e) ),
inference(subst,[],[refute_0_101:[bind(X_147,$fot(e))]]) ).
cnf(refute_0_103,plain,
p1(b,b,e),
inference(resolve,[$cnf( k0(e) )],[axiom_28,refute_0_102]) ).
cnf(refute_0_104,plain,
p2(e,b,b),
inference(resolve,[$cnf( p1(b,b,e) )],[refute_0_103,refute_0_99]) ).
cnf(refute_0_105,plain,
( ~ p2(e,b,b)
| r3(e,b,e) ),
inference(subst,[],[rule_267:[bind(B,$fot(e)),bind(C,$fot(b)),bind(D,$fot(b))]]) ).
cnf(refute_0_106,plain,
r3(e,b,e),
inference(resolve,[$cnf( p2(e,b,b) )],[refute_0_104,refute_0_105]) ).
cnf(refute_0_107,plain,
( ~ r0(b)
| ~ r3(e,b,e)
| p4(b,b,e) ),
inference(subst,[],[rule_285:[bind(G,$fot(b)),bind(H,$fot(e))]]) ).
cnf(refute_0_108,plain,
( ~ r0(b)
| p4(b,b,e) ),
inference(resolve,[$cnf( r3(e,b,e) )],[refute_0_106,refute_0_107]) ).
cnf(refute_0_109,plain,
p4(b,b,e),
inference(resolve,[$cnf( r0(b) )],[axiom_9,refute_0_108]) ).
cnf(refute_0_110,plain,
( ~ n4(X_1132,X_1135)
| ~ n5(b,e)
| ~ p4(b,b,e)
| ~ q4(X_1134,X_1135)
| n5(X_1132,e) ),
inference(subst,[],[rule_307:[bind(B,$fot(X_1132)),bind(C,$fot(e)),bind(D,$fot(X_1134)),bind(E,$fot(X_1135)),bind(F,$fot(b))]]) ).
cnf(refute_0_111,plain,
( ~ n4(X_1132,X_1135)
| ~ n5(b,e)
| ~ q4(X_1134,X_1135)
| n5(X_1132,e) ),
inference(resolve,[$cnf( p4(b,b,e) )],[refute_0_109,refute_0_110]) ).
cnf(refute_0_112,plain,
( ~ p0(c,b)
| q1(b,c,c) ),
inference(subst,[],[rule_095:[bind(F,$fot(b)),bind(G,$fot(c))]]) ).
cnf(refute_0_113,plain,
q1(b,c,c),
inference(resolve,[$cnf( p0(c,b) )],[axiom_18,refute_0_112]) ).
cnf(refute_0_114,plain,
( ~ q1(b,c,c)
| k2(c,c) ),
inference(subst,[],[rule_129:[bind(A,$fot(b)),bind(J,$fot(c))]]) ).
cnf(refute_0_115,plain,
k2(c,c),
inference(resolve,[$cnf( q1(b,c,c) )],[refute_0_113,refute_0_114]) ).
cnf(refute_0_116,plain,
( ~ k1(X_722)
| ~ k2(X_722,c)
| ~ m1(b,c,b)
| k2(b,c) ),
inference(subst,[],[rule_127:[bind(C,$fot(b)),bind(D,$fot(c)),bind(E,$fot(b)),bind(F,$fot(X_722))]]) ).
cnf(refute_0_117,plain,
( ~ k1(X_722)
| ~ k2(X_722,c)
| k2(b,c) ),
inference(resolve,[$cnf( m1(b,c,b) )],[refute_0_45,refute_0_116]) ).
cnf(refute_0_118,plain,
( ~ k1(c)
| ~ k2(c,c)
| k2(b,c) ),
inference(subst,[],[refute_0_117:[bind(X_722,$fot(c))]]) ).
cnf(refute_0_119,plain,
( ~ k1(c)
| k2(b,c) ),
inference(resolve,[$cnf( k2(c,c) )],[refute_0_115,refute_0_118]) ).
cnf(refute_0_120,plain,
( ~ n0(d,c)
| k1(c) ),
inference(subst,[],[rule_001:[bind(I,$fot(c)),bind(J,$fot(d))]]) ).
cnf(refute_0_121,plain,
k1(c),
inference(resolve,[$cnf( n0(d,c) )],[axiom_26,refute_0_120]) ).
cnf(refute_0_122,plain,
k2(b,c),
inference(resolve,[$cnf( k1(c) )],[refute_0_121,refute_0_119]) ).
cnf(refute_0_123,plain,
( ~ k2(A,c)
| ~ r2(c)
| ~ r3(c,d,d)
| r3(d,A,c) ),
inference(subst,[],[rule_272:[bind(B,$fot(c)),bind(J,$fot(d))]]) ).
cnf(refute_0_124,plain,
( ~ s1(a)
| s2(d) ),
inference(resolve,[$cnf( s0(d) )],[axiom_1,rule_190]) ).
cnf(refute_0_125,plain,
p0(b,b),
inference(subst,[],[axiom_14:[bind(X,$fot(b))]]) ).
cnf(refute_0_126,plain,
( ~ p0(b,b)
| s1(b) ),
inference(subst,[],[rule_125:[bind(I,$fot(b))]]) ).
cnf(refute_0_127,plain,
s1(b),
inference(resolve,[$cnf( p0(b,b) )],[refute_0_125,refute_0_126]) ).
cnf(refute_0_128,plain,
( ~ q0(a,b)
| ~ s1(X_213)
| s1(a) ),
inference(subst,[],[rule_126:[bind(F,$fot(a)),bind(G,$fot(b)),bind(H,$fot(X_213))]]) ).
cnf(refute_0_129,plain,
( ~ s1(X_213)
| s1(a) ),
inference(resolve,[$cnf( q0(a,b) )],[axiom_36,refute_0_128]) ).
cnf(refute_0_130,plain,
( ~ s1(b)
| s1(a) ),
inference(subst,[],[refute_0_129:[bind(X_213,$fot(b))]]) ).
cnf(refute_0_131,plain,
s1(a),
inference(resolve,[$cnf( s1(b) )],[refute_0_127,refute_0_130]) ).
cnf(refute_0_132,plain,
s2(d),
inference(resolve,[$cnf( s1(a) )],[refute_0_131,refute_0_124]) ).
cnf(refute_0_133,plain,
( ~ l2(c,c)
| ~ s2(H)
| r3(c,H,H) ),
inference(subst,[],[rule_260:[bind(G,$fot(c))]]) ).
cnf(refute_0_134,plain,
q0(X_211,d),
inference(subst,[],[axiom_17:[bind(X,$fot(X_211))]]) ).
cnf(refute_0_135,plain,
( ~ q0(X_211,d)
| ~ s1(X_213)
| s1(X_211) ),
inference(subst,[],[rule_126:[bind(F,$fot(X_211)),bind(G,$fot(d)),bind(H,$fot(X_213))]]) ).
cnf(refute_0_136,plain,
( ~ s1(X_213)
| s1(X_211) ),
inference(resolve,[$cnf( q0(X_211,d) )],[refute_0_134,refute_0_135]) ).
cnf(refute_0_137,plain,
( ~ s1(a)
| s1(X_217) ),
inference(subst,[],[refute_0_136:[bind(X_211,$fot(X_217)),bind(X_213,$fot(a))]]) ).
cnf(refute_0_138,plain,
s1(X_217),
inference(resolve,[$cnf( s1(a) )],[refute_0_131,refute_0_137]) ).
cnf(refute_0_139,plain,
s1(B),
inference(subst,[],[refute_0_138:[bind(X_217,$fot(B))]]) ).
cnf(refute_0_140,plain,
( ~ m0(C,B,J)
| ~ p0(A,A)
| l2(J,J) ),
inference(resolve,[$cnf( s1(B) )],[refute_0_139,rule_133]) ).
cnf(refute_0_141,plain,
( ~ m0(d,e,c)
| ~ p0(X_758,X_758)
| l2(c,c) ),
inference(subst,[],[refute_0_140:[bind(A,$fot(X_758)),bind(B,$fot(e)),bind(C,$fot(d)),bind(J,$fot(c))]]) ).
cnf(refute_0_142,plain,
( ~ p0(X_758,X_758)
| l2(c,c) ),
inference(resolve,[$cnf( m0(d,e,c) )],[axiom_35,refute_0_141]) ).
cnf(refute_0_143,plain,
( ~ p0(b,b)
| l2(c,c) ),
inference(subst,[],[refute_0_142:[bind(X_758,$fot(b))]]) ).
cnf(refute_0_144,plain,
l2(c,c),
inference(resolve,[$cnf( p0(b,b) )],[refute_0_125,refute_0_143]) ).
cnf(refute_0_145,plain,
( ~ s2(H)
| r3(c,H,H) ),
inference(resolve,[$cnf( l2(c,c) )],[refute_0_144,refute_0_133]) ).
cnf(refute_0_146,plain,
( ~ s2(d)
| r3(c,d,d) ),
inference(subst,[],[refute_0_145:[bind(H,$fot(d))]]) ).
cnf(refute_0_147,plain,
r3(c,d,d),
inference(resolve,[$cnf( s2(d) )],[refute_0_132,refute_0_146]) ).
cnf(refute_0_148,plain,
( ~ k2(A,c)
| ~ r2(c)
| r3(d,A,c) ),
inference(resolve,[$cnf( r3(c,d,d) )],[refute_0_147,refute_0_123]) ).
cnf(refute_0_149,plain,
( ~ l0(X_194)
| ~ r1(X_194)
| r2(X_194) ),
inference(subst,[],[rule_188:[bind(G,$fot(X_194))]]) ).
cnf(refute_0_150,plain,
q0(X_192,d),
inference(subst,[],[axiom_17:[bind(X,$fot(X_192))]]) ).
cnf(refute_0_151,plain,
( ~ q0(D,E)
| ~ q1(d,E,d)
| r1(D) ),
inference(resolve,[$cnf( s0(d) )],[axiom_1,rule_124]) ).
cnf(refute_0_152,plain,
( ~ q0(X_192,d)
| ~ q1(d,d,d)
| r1(X_192) ),
inference(subst,[],[refute_0_151:[bind(D,$fot(X_192)),bind(E,$fot(d))]]) ).
cnf(refute_0_153,plain,
( ~ q1(d,d,d)
| r1(X_192) ),
inference(resolve,[$cnf( q0(X_192,d) )],[refute_0_150,refute_0_152]) ).
cnf(refute_0_154,plain,
m0(X_160,d,X_159),
inference(subst,[],[axiom_19:[bind(X,$fot(X_160)),bind(Y,$fot(X_159))]]) ).
cnf(refute_0_155,plain,
( ~ m0(X_160,d,X_159)
| q1(X_159,X_159,X_159) ),
inference(subst,[],[rule_110:[bind(B,$fot(X_159)),bind(C,$fot(X_160)),bind(D,$fot(d))]]) ).
cnf(refute_0_156,plain,
q1(X_159,X_159,X_159),
inference(resolve,[$cnf( m0(X_160,d,X_159) )],[refute_0_154,refute_0_155]) ).
cnf(refute_0_157,plain,
q1(d,d,d),
inference(subst,[],[refute_0_156:[bind(X_159,$fot(d))]]) ).
cnf(refute_0_158,plain,
r1(X_192),
inference(resolve,[$cnf( q1(d,d,d) )],[refute_0_157,refute_0_153]) ).
cnf(refute_0_159,plain,
r1(X_194),
inference(subst,[],[refute_0_158:[bind(X_192,$fot(X_194))]]) ).
cnf(refute_0_160,plain,
( ~ l0(X_194)
| r2(X_194) ),
inference(resolve,[$cnf( r1(X_194) )],[refute_0_159,refute_0_149]) ).
cnf(refute_0_161,plain,
( ~ l0(c)
| r2(c) ),
inference(subst,[],[refute_0_160:[bind(X_194,$fot(c))]]) ).
cnf(refute_0_162,plain,
r2(c),
inference(resolve,[$cnf( l0(c) )],[axiom_24,refute_0_161]) ).
cnf(refute_0_163,plain,
( ~ k2(A,c)
| r3(d,A,c) ),
inference(resolve,[$cnf( r2(c) )],[refute_0_162,refute_0_148]) ).
cnf(refute_0_164,plain,
( ~ k2(b,c)
| r3(d,b,c) ),
inference(subst,[],[refute_0_163:[bind(A,$fot(b))]]) ).
cnf(refute_0_165,plain,
r3(d,b,c),
inference(resolve,[$cnf( k2(b,c) )],[refute_0_122,refute_0_164]) ).
cnf(refute_0_166,plain,
( ~ n4(b,e)
| n5(b,e) ),
inference(resolve,[$cnf( r3(d,b,c) )],[refute_0_165,rule_312]) ).
cnf(refute_0_167,plain,
( ~ p3(b,e,e)
| n4(b,e) ),
inference(subst,[],[refute_0_66:[bind(A,$fot(e)),bind(X_459,$fot(b))]]) ).
cnf(refute_0_168,plain,
m3(e,e,e),
inference(subst,[],[refute_0_9:[bind(X_101,$fot(e))]]) ).
cnf(refute_0_169,plain,
( ~ m3(e,X_559,e)
| ~ p2(b,e,e)
| p3(b,e,e) ),
inference(subst,[],[rule_251:[bind(A,$fot(b)),bind(B,$fot(e)),bind(C,$fot(X_559)),bind(D,$fot(e))]]) ).
cnf(refute_0_170,plain,
( ~ m3(e,X_559,e)
| p3(b,e,e) ),
inference(resolve,[$cnf( p2(b,e,e) )],[refute_0_27,refute_0_169]) ).
cnf(refute_0_171,plain,
( ~ m3(e,e,e)
| p3(b,e,e) ),
inference(subst,[],[refute_0_170:[bind(X_559,$fot(e))]]) ).
cnf(refute_0_172,plain,
p3(b,e,e),
inference(resolve,[$cnf( m3(e,e,e) )],[refute_0_168,refute_0_171]) ).
cnf(refute_0_173,plain,
n4(b,e),
inference(resolve,[$cnf( p3(b,e,e) )],[refute_0_172,refute_0_167]) ).
cnf(refute_0_174,plain,
n5(b,e),
inference(resolve,[$cnf( n4(b,e) )],[refute_0_173,refute_0_166]) ).
cnf(refute_0_175,plain,
( ~ n4(X_1132,X_1135)
| ~ q4(X_1134,X_1135)
| n5(X_1132,e) ),
inference(resolve,[$cnf( n5(b,e) )],[refute_0_174,refute_0_111]) ).
cnf(refute_0_176,plain,
( ~ n4(X_1149,b)
| ~ q4(X_1150,b)
| n5(X_1149,e) ),
inference(subst,[],[refute_0_175:[bind(X_1132,$fot(X_1149)),bind(X_1134,$fot(X_1150)),bind(X_1135,$fot(b))]]) ).
cnf(refute_0_177,plain,
( ~ q4(X_1150,b)
| n5(X_1149,e) ),
inference(resolve,[$cnf( n4(X_1149,b) )],[refute_0_97,refute_0_176]) ).
cnf(refute_0_178,plain,
m3(X_1086,X_1086,X_1086),
inference(subst,[],[refute_0_9:[bind(X_101,$fot(X_1086))]]) ).
cnf(refute_0_179,plain,
m0(A,d,A),
inference(subst,[],[axiom_19:[bind(X,$fot(A)),bind(Y,$fot(A))]]) ).
cnf(refute_0_180,plain,
( ~ m0(e,d,A)
| q1(e,A,A) ),
inference(resolve,[$cnf( m0(A,d,A) )],[refute_0_179,rule_107]) ).
cnf(refute_0_181,plain,
m0(e,d,A),
inference(subst,[],[axiom_19:[bind(X,$fot(e)),bind(Y,$fot(A))]]) ).
cnf(refute_0_182,plain,
q1(e,A,A),
inference(resolve,[$cnf( m0(e,d,A) )],[refute_0_181,refute_0_180]) ).
cnf(refute_0_183,plain,
q1(e,X_80,X_80),
inference(subst,[],[refute_0_182:[bind(A,$fot(X_80))]]) ).
cnf(refute_0_184,plain,
( ~ q1(e,X_80,X_80)
| k2(X_80,X_80) ),
inference(subst,[],[rule_129:[bind(A,$fot(e)),bind(J,$fot(X_80))]]) ).
cnf(refute_0_185,plain,
k2(X_80,X_80),
inference(resolve,[$cnf( q1(e,X_80,X_80) )],[refute_0_183,refute_0_184]) ).
cnf(refute_0_186,plain,
k2(X_86,X_86),
inference(subst,[],[refute_0_185:[bind(X_80,$fot(X_86))]]) ).
cnf(refute_0_187,plain,
( ~ k2(X_86,X_86)
| k3(X_86,X_86,X_86) ),
inference(subst,[],[rule_194:[bind(F,$fot(X_86)),bind(G,$fot(X_86))]]) ).
cnf(refute_0_188,plain,
k3(X_86,X_86,X_86),
inference(resolve,[$cnf( k2(X_86,X_86) )],[refute_0_186,refute_0_187]) ).
cnf(refute_0_189,plain,
k3(X_1035,X_1035,X_1035),
inference(subst,[],[refute_0_188:[bind(X_86,$fot(X_1035))]]) ).
cnf(refute_0_190,plain,
( ~ k3(X_1035,X_1035,X_1035)
| ~ m3(X_1038,X_1039,X_1038)
| ~ q2(X_1038,X_1036,X_1035)
| q4(X_1035,X_1036) ),
inference(subst,[],[rule_295:[bind(B,$fot(X_1035)),bind(C,$fot(X_1036)),bind(D,$fot(X_1035)),bind(E,$fot(X_1038)),bind(F,$fot(X_1039))]]) ).
cnf(refute_0_191,plain,
( ~ m3(X_1038,X_1039,X_1038)
| ~ q2(X_1038,X_1036,X_1035)
| q4(X_1035,X_1036) ),
inference(resolve,[$cnf( k3(X_1035,X_1035,X_1035) )],[refute_0_189,refute_0_190]) ).
cnf(refute_0_192,plain,
( ~ m3(X_1086,X_1086,X_1086)
| ~ q2(X_1086,X_1084,X_1083)
| q4(X_1083,X_1084) ),
inference(subst,[],[refute_0_191:[bind(X_1035,$fot(X_1083)),bind(X_1036,$fot(X_1084)),bind(X_1038,$fot(X_1086)),bind(X_1039,$fot(X_1086))]]) ).
cnf(refute_0_193,plain,
( ~ q2(X_1086,X_1084,X_1083)
| q4(X_1083,X_1084) ),
inference(resolve,[$cnf( m3(X_1086,X_1086,X_1086) )],[refute_0_178,refute_0_192]) ).
cnf(refute_0_194,plain,
( ~ q2(X_1102,b,X_1102)
| q4(X_1102,b) ),
inference(subst,[],[refute_0_193:[bind(X_1083,$fot(X_1102)),bind(X_1084,$fot(b)),bind(X_1086,$fot(X_1102))]]) ).
cnf(refute_0_195,plain,
m0(X_1092,d,X_1090),
inference(subst,[],[axiom_19:[bind(X,$fot(X_1092)),bind(Y,$fot(X_1090))]]) ).
cnf(refute_0_196,plain,
( ~ p1(X_70,X_70,X_70)
| q2(X_70,X_70,X_70) ),
inference(subst,[],[rule_181:[bind(I,$fot(X_70))]]) ).
cnf(refute_0_197,plain,
p1(X_70,X_70,X_70),
inference(subst,[],[refute_0_33:[bind(X_68,$fot(X_70))]]) ).
cnf(refute_0_198,plain,
q2(X_70,X_70,X_70),
inference(resolve,[$cnf( p1(X_70,X_70,X_70) )],[refute_0_197,refute_0_196]) ).
cnf(refute_0_199,plain,
q2(D,D,D),
inference(subst,[],[refute_0_198:[bind(X_70,$fot(D))]]) ).
cnf(refute_0_200,plain,
( ~ k0(D)
| ~ m0(E,F,C)
| ~ r1(D)
| q2(C,D,C) ),
inference(resolve,[$cnf( q2(D,D,D) )],[refute_0_199,rule_187]) ).
cnf(refute_0_201,plain,
r1(D),
inference(subst,[],[refute_0_158:[bind(X_192,$fot(D))]]) ).
cnf(refute_0_202,plain,
( ~ k0(D)
| ~ m0(E,F,C)
| q2(C,D,C) ),
inference(resolve,[$cnf( r1(D) )],[refute_0_201,refute_0_200]) ).
cnf(refute_0_203,plain,
( ~ k0(X_1091)
| ~ m0(X_1092,d,X_1090)
| q2(X_1090,X_1091,X_1090) ),
inference(subst,[],[refute_0_202:[bind(C,$fot(X_1090)),bind(D,$fot(X_1091)),bind(E,$fot(X_1092)),bind(F,$fot(d))]]) ).
cnf(refute_0_204,plain,
( ~ k0(X_1091)
| q2(X_1090,X_1091,X_1090) ),
inference(resolve,[$cnf( m0(X_1092,d,X_1090) )],[refute_0_195,refute_0_203]) ).
cnf(refute_0_205,plain,
( ~ k0(b)
| q2(X_1097,b,X_1097) ),
inference(subst,[],[refute_0_204:[bind(X_1090,$fot(X_1097)),bind(X_1091,$fot(b))]]) ).
cnf(refute_0_206,plain,
q2(X_1097,b,X_1097),
inference(resolve,[$cnf( k0(b) )],[axiom_32,refute_0_205]) ).
cnf(refute_0_207,plain,
q2(X_1102,b,X_1102),
inference(subst,[],[refute_0_206:[bind(X_1097,$fot(X_1102))]]) ).
cnf(refute_0_208,plain,
q4(X_1102,b),
inference(resolve,[$cnf( q2(X_1102,b,X_1102) )],[refute_0_207,refute_0_194]) ).
cnf(refute_0_209,plain,
q4(X_1150,b),
inference(subst,[],[refute_0_208:[bind(X_1102,$fot(X_1150))]]) ).
cnf(refute_0_210,plain,
n5(X_1149,e),
inference(resolve,[$cnf( q4(X_1150,b) )],[refute_0_209,refute_0_177]) ).
cnf(refute_0_211,plain,
n5(a,e),
inference(subst,[],[refute_0_210:[bind(X_1149,$fot(a))]]) ).
cnf(refute_0_212,plain,
$false,
inference(resolve,[$cnf( n5(a,e) )],[refute_0_211,prove_this]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.12/0.12 % Problem : SYN159-1 : TPTP v8.1.0. Released v1.1.0.
% 0.12/0.13 % Command : metis --show proof --show saturation %s
% 0.12/0.34 % Computer : n024.cluster.edu
% 0.12/0.34 % Model : x86_64 x86_64
% 0.12/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.34 % Memory : 8042.1875MB
% 0.12/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.34 % CPULimit : 300
% 0.12/0.34 % WCLimit : 600
% 0.12/0.34 % DateTime : Mon Jul 11 23:31:28 EDT 2022
% 0.12/0.34 % CPUTime :
% 0.12/0.35 %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
% 0.45/0.62 % SZS status Unsatisfiable for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.45/0.62
% 0.45/0.62 % SZS output start CNFRefutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% See solution above
% 0.45/0.63
%------------------------------------------------------------------------------