TSTP Solution File: SYN128-1 by Metis---2.4
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Metis---2.4
% Problem : SYN128-1 : 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 08:59:52 EDT 2022
% Result : Unsatisfiable 0.38s 0.58s
% Output : CNFRefutation 0.38s
% Verified :
% SZS Type : Refutation
% Derivation depth : 27
% Number of leaves : 39
% Syntax : Number of clauses : 152 ( 65 unt; 0 nHn; 107 RR)
% Number of literals : 296 ( 0 equ; 145 neg)
% Maximal clause size : 4 ( 1 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of predicates : 24 ( 23 usr; 1 prp; 0-3 aty)
% Number of functors : 5 ( 5 usr; 5 con; 0-0 aty)
% Number of variables : 165 ( 62 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(axiom_1,axiom,
s0(d) ).
cnf(axiom_5,axiom,
s0(b) ).
cnf(axiom_14,axiom,
p0(b,X) ).
cnf(axiom_15,axiom,
n0(a,b) ).
cnf(axiom_17,axiom,
q0(X,d) ).
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_31,axiom,
m0(b,b,e) ).
cnf(axiom_32,axiom,
k0(b) ).
cnf(axiom_34,axiom,
n0(c,d) ).
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_005,axiom,
( m1(B,C,B)
| ~ m0(C,C,B) ) ).
cnf(rule_015,axiom,
( m1(B,C,C)
| ~ l0(D)
| ~ m0(C,C,B) ) ).
cnf(rule_029,axiom,
( m1(H,I,H)
| ~ p0(H,I)
| ~ s0(H) ) ).
cnf(rule_034,axiom,
( m1(A,B,B)
| ~ k1(a)
| ~ k1(B)
| ~ q0(A,A) ) ).
cnf(rule_083,axiom,
( p1(F,b,G)
| ~ m1(F,G,b)
| ~ k0(G) ) ).
cnf(rule_085,axiom,
( p1(B,B,B)
| ~ p0(C,B) ) ).
cnf(rule_110,axiom,
( q1(B,B,B)
| ~ m0(C,D,B) ) ).
cnf(rule_124,axiom,
( r1(D)
| ~ q0(D,E)
| ~ s0(d)
| ~ q1(d,E,d) ) ).
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_134,axiom,
( l2(G,G)
| ~ m0(H,G,I)
| ~ m1(I,H,H)
| ~ p0(H,G) ) ).
cnf(rule_136,axiom,
( m2(b)
| ~ k1(b) ) ).
cnf(rule_137,axiom,
( n2(A)
| ~ p1(B,C,A) ) ).
cnf(rule_183,axiom,
( q2(D,c,E)
| ~ k1(E)
| ~ l0(c)
| ~ l2(E,D) ) ).
cnf(rule_201,axiom,
( k3(B,B,C)
| ~ p1(C,D,B)
| ~ m2(E)
| ~ m2(D) ) ).
cnf(rule_202,axiom,
( k3(G,G,H)
| ~ q0(I,H)
| ~ k2(G,J)
| ~ k3(H,A,J) ) ).
cnf(rule_228,axiom,
( m3(J,A,A)
| ~ n2(J)
| ~ m2(A)
| ~ m3(B,J,B) ) ).
cnf(rule_236,axiom,
( m3(A,A,A)
| ~ n2(A) ) ).
cnf(rule_244,axiom,
( p3(H,H,H)
| ~ n2(H) ) ).
cnf(rule_277,axiom,
( l4(J)
| ~ p3(A,B,J) ) ).
cnf(rule_295,axiom,
( q4(B,C)
| ~ k3(D,D,B)
| ~ q2(E,C,B)
| ~ m3(E,F,E) ) ).
cnf(rule_296,axiom,
( q4(I,I)
| ~ r1(I)
| ~ l4(J)
| ~ q4(J,A) ) ).
cnf(rule_302,axiom,
( l5(H)
| ~ q4(I,I)
| ~ k1(H) ) ).
cnf(prove_this,negated_conjecture,
~ l5(c) ).
cnf(refute_0_0,plain,
( ~ n0(d,c)
| k1(c) ),
inference(subst,[],[rule_001:[bind(I,$fot(c)),bind(J,$fot(d))]]) ).
cnf(refute_0_1,plain,
k1(c),
inference(resolve,[$cnf( n0(d,c) )],[axiom_26,refute_0_0]) ).
cnf(refute_0_2,plain,
( ~ k1(H)
| ~ q4(X_1040,X_1040)
| l5(H) ),
inference(subst,[],[rule_302:[bind(I,$fot(X_1040))]]) ).
cnf(refute_0_3,plain,
( ~ n2(X_109)
| p3(X_109,X_109,X_109) ),
inference(subst,[],[rule_244:[bind(H,$fot(X_109))]]) ).
cnf(refute_0_4,plain,
p0(b,X_66),
inference(subst,[],[axiom_14:[bind(X,$fot(X_66))]]) ).
cnf(refute_0_5,plain,
( ~ p0(b,X_66)
| p1(X_66,X_66,X_66) ),
inference(subst,[],[rule_085:[bind(B,$fot(X_66)),bind(C,$fot(b))]]) ).
cnf(refute_0_6,plain,
p1(X_66,X_66,X_66),
inference(resolve,[$cnf( p0(b,X_66) )],[refute_0_4,refute_0_5]) ).
cnf(refute_0_7,plain,
p1(X_106,X_106,X_106),
inference(subst,[],[refute_0_6:[bind(X_66,$fot(X_106))]]) ).
cnf(refute_0_8,plain,
( ~ p1(X_106,X_106,X_106)
| n2(X_106) ),
inference(subst,[],[rule_137:[bind(A,$fot(X_106)),bind(B,$fot(X_106)),bind(C,$fot(X_106))]]) ).
cnf(refute_0_9,plain,
n2(X_106),
inference(resolve,[$cnf( p1(X_106,X_106,X_106) )],[refute_0_7,refute_0_8]) ).
cnf(refute_0_10,plain,
n2(X_109),
inference(subst,[],[refute_0_9:[bind(X_106,$fot(X_109))]]) ).
cnf(refute_0_11,plain,
p3(X_109,X_109,X_109),
inference(resolve,[$cnf( n2(X_109) )],[refute_0_10,refute_0_3]) ).
cnf(refute_0_12,plain,
p3(X_128,X_128,X_128),
inference(subst,[],[refute_0_11:[bind(X_109,$fot(X_128))]]) ).
cnf(refute_0_13,plain,
( ~ p3(X_128,X_128,X_128)
| l4(X_128) ),
inference(subst,[],[rule_277:[bind(A,$fot(X_128)),bind(B,$fot(X_128)),bind(J,$fot(X_128))]]) ).
cnf(refute_0_14,plain,
l4(X_128),
inference(resolve,[$cnf( p3(X_128,X_128,X_128) )],[refute_0_12,refute_0_13]) ).
cnf(refute_0_15,plain,
l4(J),
inference(subst,[],[refute_0_14:[bind(X_128,$fot(J))]]) ).
cnf(refute_0_16,plain,
( ~ q4(J,A)
| ~ r1(I)
| q4(I,I) ),
inference(resolve,[$cnf( l4(J) )],[refute_0_15,rule_296]) ).
cnf(refute_0_17,plain,
q0(X_192,d),
inference(subst,[],[axiom_17:[bind(X,$fot(X_192))]]) ).
cnf(refute_0_18,plain,
( ~ q0(D,E)
| ~ q1(d,E,d)
| r1(D) ),
inference(resolve,[$cnf( s0(d) )],[axiom_1,rule_124]) ).
cnf(refute_0_19,plain,
( ~ q0(X_192,d)
| ~ q1(d,d,d)
| r1(X_192) ),
inference(subst,[],[refute_0_18:[bind(D,$fot(X_192)),bind(E,$fot(d))]]) ).
cnf(refute_0_20,plain,
( ~ q1(d,d,d)
| r1(X_192) ),
inference(resolve,[$cnf( q0(X_192,d) )],[refute_0_17,refute_0_19]) ).
cnf(refute_0_21,plain,
m0(X_153,d,X_152),
inference(subst,[],[axiom_19:[bind(X,$fot(X_153)),bind(Y,$fot(X_152))]]) ).
cnf(refute_0_22,plain,
( ~ m0(X_153,d,X_152)
| q1(X_152,X_152,X_152) ),
inference(subst,[],[rule_110:[bind(B,$fot(X_152)),bind(C,$fot(X_153)),bind(D,$fot(d))]]) ).
cnf(refute_0_23,plain,
q1(X_152,X_152,X_152),
inference(resolve,[$cnf( m0(X_153,d,X_152) )],[refute_0_21,refute_0_22]) ).
cnf(refute_0_24,plain,
q1(d,d,d),
inference(subst,[],[refute_0_23:[bind(X_152,$fot(d))]]) ).
cnf(refute_0_25,plain,
r1(X_192),
inference(resolve,[$cnf( q1(d,d,d) )],[refute_0_24,refute_0_20]) ).
cnf(refute_0_26,plain,
r1(I),
inference(subst,[],[refute_0_25:[bind(X_192,$fot(I))]]) ).
cnf(refute_0_27,plain,
( ~ q4(J,A)
| q4(I,I) ),
inference(resolve,[$cnf( r1(I) )],[refute_0_26,refute_0_16]) ).
cnf(refute_0_28,plain,
( ~ q4(b,c)
| q4(I,I) ),
inference(subst,[],[refute_0_27:[bind(A,$fot(c)),bind(J,$fot(b))]]) ).
cnf(refute_0_29,plain,
( ~ n0(a,b)
| k1(b) ),
inference(subst,[],[rule_001:[bind(I,$fot(b)),bind(J,$fot(a))]]) ).
cnf(refute_0_30,plain,
k1(b),
inference(resolve,[$cnf( n0(a,b) )],[axiom_15,refute_0_29]) ).
cnf(refute_0_31,plain,
m2(b),
inference(resolve,[$cnf( k1(b) )],[refute_0_30,rule_136]) ).
cnf(refute_0_32,plain,
( ~ n2(X_109)
| m3(X_109,X_109,X_109) ),
inference(subst,[],[rule_236:[bind(A,$fot(X_109))]]) ).
cnf(refute_0_33,plain,
m3(X_109,X_109,X_109),
inference(resolve,[$cnf( n2(X_109) )],[refute_0_10,refute_0_32]) ).
cnf(refute_0_34,plain,
m3(X_614,X_614,X_614),
inference(subst,[],[refute_0_33:[bind(X_109,$fot(X_614))]]) ).
cnf(refute_0_35,plain,
n2(J),
inference(subst,[],[refute_0_9:[bind(X_106,$fot(J))]]) ).
cnf(refute_0_36,plain,
( ~ m2(A)
| ~ m3(B,J,B)
| m3(J,A,A) ),
inference(resolve,[$cnf( n2(J) )],[refute_0_35,rule_228]) ).
cnf(refute_0_37,plain,
( ~ m2(X_612)
| ~ m3(X_614,X_614,X_614)
| m3(X_614,X_612,X_612) ),
inference(subst,[],[refute_0_36:[bind(A,$fot(X_612)),bind(B,$fot(X_614)),bind(J,$fot(X_614))]]) ).
cnf(refute_0_38,plain,
( ~ m2(X_612)
| m3(X_614,X_612,X_612) ),
inference(resolve,[$cnf( m3(X_614,X_614,X_614) )],[refute_0_34,refute_0_37]) ).
cnf(refute_0_39,plain,
( ~ m2(b)
| m3(X_621,b,b) ),
inference(subst,[],[refute_0_38:[bind(X_612,$fot(b)),bind(X_614,$fot(X_621))]]) ).
cnf(refute_0_40,plain,
m3(X_621,b,b),
inference(resolve,[$cnf( m2(b) )],[refute_0_31,refute_0_39]) ).
cnf(refute_0_41,plain,
m3(b,b,b),
inference(subst,[],[refute_0_40:[bind(X_621,$fot(b))]]) ).
cnf(refute_0_42,plain,
( ~ k1(E)
| ~ l2(E,D)
| q2(D,c,E) ),
inference(resolve,[$cnf( l0(c) )],[axiom_24,rule_183]) ).
cnf(refute_0_43,plain,
( ~ k1(b)
| ~ l2(b,b)
| q2(b,c,b) ),
inference(subst,[],[refute_0_42:[bind(D,$fot(b)),bind(E,$fot(b))]]) ).
cnf(refute_0_44,plain,
( ~ l0(X_301)
| ~ m0(b,b,e)
| m1(e,b,b) ),
inference(subst,[],[rule_015:[bind(B,$fot(e)),bind(C,$fot(b)),bind(D,$fot(X_301))]]) ).
cnf(refute_0_45,plain,
( ~ l0(X_301)
| m1(e,b,b) ),
inference(resolve,[$cnf( m0(b,b,e) )],[axiom_31,refute_0_44]) ).
cnf(refute_0_46,plain,
( ~ l0(a)
| m1(e,b,b) ),
inference(subst,[],[refute_0_45:[bind(X_301,$fot(a))]]) ).
cnf(refute_0_47,plain,
m1(e,b,b),
inference(resolve,[$cnf( l0(a) )],[axiom_20,refute_0_46]) ).
cnf(refute_0_48,plain,
( ~ m0(b,X_664,e)
| ~ m1(e,b,b)
| ~ p0(b,X_664)
| l2(X_664,X_664) ),
inference(subst,[],[rule_134:[bind(G,$fot(X_664)),bind(H,$fot(b)),bind(I,$fot(e))]]) ).
cnf(refute_0_49,plain,
( ~ m0(b,X_664,e)
| ~ p0(b,X_664)
| l2(X_664,X_664) ),
inference(resolve,[$cnf( m1(e,b,b) )],[refute_0_47,refute_0_48]) ).
cnf(refute_0_50,plain,
p0(b,X_664),
inference(subst,[],[axiom_14:[bind(X,$fot(X_664))]]) ).
cnf(refute_0_51,plain,
( ~ m0(b,X_664,e)
| l2(X_664,X_664) ),
inference(resolve,[$cnf( p0(b,X_664) )],[refute_0_50,refute_0_49]) ).
cnf(refute_0_52,plain,
( ~ m0(b,b,e)
| l2(b,b) ),
inference(subst,[],[refute_0_51:[bind(X_664,$fot(b))]]) ).
cnf(refute_0_53,plain,
l2(b,b),
inference(resolve,[$cnf( m0(b,b,e) )],[axiom_31,refute_0_52]) ).
cnf(refute_0_54,plain,
( ~ k1(b)
| q2(b,c,b) ),
inference(resolve,[$cnf( l2(b,b) )],[refute_0_53,refute_0_43]) ).
cnf(refute_0_55,plain,
q2(b,c,b),
inference(resolve,[$cnf( k1(b) )],[refute_0_30,refute_0_54]) ).
cnf(refute_0_56,plain,
( ~ k3(X_1036,X_1036,b)
| ~ m3(b,X_1038,b)
| ~ q2(b,c,b)
| q4(b,c) ),
inference(subst,[],[rule_295:[bind(B,$fot(b)),bind(C,$fot(c)),bind(D,$fot(X_1036)),bind(E,$fot(b)),bind(F,$fot(X_1038))]]) ).
cnf(refute_0_57,plain,
( ~ k3(X_1036,X_1036,b)
| ~ m3(b,X_1038,b)
| q4(b,c) ),
inference(resolve,[$cnf( q2(b,c,b) )],[refute_0_55,refute_0_56]) ).
cnf(refute_0_58,plain,
( ~ k0(b)
| ~ m1(d,b,b)
| p1(d,b,b) ),
inference(subst,[],[rule_083:[bind(F,$fot(d)),bind(G,$fot(b))]]) ).
cnf(refute_0_59,plain,
q0(d,d),
inference(subst,[],[axiom_17:[bind(X,$fot(d))]]) ).
cnf(refute_0_60,plain,
( ~ n0(b,a)
| k1(a) ),
inference(subst,[],[rule_001:[bind(I,$fot(a)),bind(J,$fot(b))]]) ).
cnf(refute_0_61,plain,
k1(a),
inference(resolve,[$cnf( n0(b,a) )],[axiom_37,refute_0_60]) ).
cnf(refute_0_62,plain,
( ~ k1(B)
| ~ q0(A,A)
| m1(A,B,B) ),
inference(resolve,[$cnf( k1(a) )],[refute_0_61,rule_034]) ).
cnf(refute_0_63,plain,
( ~ k1(X_342)
| ~ q0(d,d)
| m1(d,X_342,X_342) ),
inference(subst,[],[refute_0_62:[bind(A,$fot(d)),bind(B,$fot(X_342))]]) ).
cnf(refute_0_64,plain,
( ~ k1(X_342)
| m1(d,X_342,X_342) ),
inference(resolve,[$cnf( q0(d,d) )],[refute_0_59,refute_0_63]) ).
cnf(refute_0_65,plain,
( ~ k1(b)
| m1(d,b,b) ),
inference(subst,[],[refute_0_64:[bind(X_342,$fot(b))]]) ).
cnf(refute_0_66,plain,
m1(d,b,b),
inference(resolve,[$cnf( k1(b) )],[refute_0_30,refute_0_65]) ).
cnf(refute_0_67,plain,
( ~ k0(b)
| p1(d,b,b) ),
inference(resolve,[$cnf( m1(d,b,b) )],[refute_0_66,refute_0_58]) ).
cnf(refute_0_68,plain,
p1(d,b,b),
inference(resolve,[$cnf( k0(b) )],[axiom_32,refute_0_67]) ).
cnf(refute_0_69,plain,
( ~ m2(X_811)
| ~ m2(b)
| ~ p1(d,b,b)
| k3(b,b,d) ),
inference(subst,[],[rule_201:[bind(B,$fot(b)),bind(C,$fot(d)),bind(D,$fot(b)),bind(E,$fot(X_811))]]) ).
cnf(refute_0_70,plain,
( ~ m2(X_811)
| ~ m2(b)
| k3(b,b,d) ),
inference(resolve,[$cnf( p1(d,b,b) )],[refute_0_68,refute_0_69]) ).
cnf(refute_0_71,plain,
( ~ m2(X_811)
| k3(b,b,d) ),
inference(resolve,[$cnf( m2(b) )],[refute_0_31,refute_0_70]) ).
cnf(refute_0_72,plain,
( ~ m2(b)
| k3(b,b,d) ),
inference(subst,[],[refute_0_71:[bind(X_811,$fot(b))]]) ).
cnf(refute_0_73,plain,
k3(b,b,d),
inference(resolve,[$cnf( m2(b) )],[refute_0_31,refute_0_72]) ).
cnf(refute_0_74,plain,
( ~ k2(X_1008,d)
| ~ k3(b,b,d)
| ~ q0(X_1010,b)
| k3(X_1008,X_1008,b) ),
inference(subst,[],[rule_202:[bind(A,$fot(b)),bind(G,$fot(X_1008)),bind(H,$fot(b)),bind(I,$fot(X_1010)),bind(J,$fot(d))]]) ).
cnf(refute_0_75,plain,
( ~ k2(X_1008,d)
| ~ q0(X_1010,b)
| k3(X_1008,X_1008,b) ),
inference(resolve,[$cnf( k3(b,b,d) )],[refute_0_73,refute_0_74]) ).
cnf(refute_0_76,plain,
( ~ q1(d,d,d)
| k2(d,d) ),
inference(subst,[],[rule_129:[bind(A,$fot(d)),bind(J,$fot(d))]]) ).
cnf(refute_0_77,plain,
k2(d,d),
inference(resolve,[$cnf( q1(d,d,d) )],[refute_0_24,refute_0_76]) ).
cnf(refute_0_78,plain,
p0(b,X_181),
inference(subst,[],[axiom_14:[bind(X,$fot(X_181))]]) ).
cnf(refute_0_79,plain,
( ~ p0(b,X_181)
| ~ s0(b)
| m1(b,X_181,b) ),
inference(subst,[],[rule_029:[bind(H,$fot(b)),bind(I,$fot(X_181))]]) ).
cnf(refute_0_80,plain,
( ~ s0(b)
| m1(b,X_181,b) ),
inference(resolve,[$cnf( p0(b,X_181) )],[refute_0_78,refute_0_79]) ).
cnf(refute_0_81,plain,
m1(b,X_181,b),
inference(resolve,[$cnf( s0(b) )],[axiom_5,refute_0_80]) ).
cnf(refute_0_82,plain,
m1(b,X_721,b),
inference(subst,[],[refute_0_81:[bind(X_181,$fot(X_721))]]) ).
cnf(refute_0_83,plain,
( ~ k1(X_723)
| ~ k2(X_723,X_721)
| ~ m1(b,X_721,b)
| k2(b,X_721) ),
inference(subst,[],[rule_127:[bind(C,$fot(b)),bind(D,$fot(X_721)),bind(E,$fot(b)),bind(F,$fot(X_723))]]) ).
cnf(refute_0_84,plain,
( ~ k1(X_723)
| ~ k2(X_723,X_721)
| k2(b,X_721) ),
inference(resolve,[$cnf( m1(b,X_721,b) )],[refute_0_82,refute_0_83]) ).
cnf(refute_0_85,plain,
( ~ k1(d)
| ~ k2(d,d)
| k2(b,d) ),
inference(subst,[],[refute_0_84:[bind(X_721,$fot(d)),bind(X_723,$fot(d))]]) ).
cnf(refute_0_86,plain,
( ~ k1(d)
| k2(b,d) ),
inference(resolve,[$cnf( k2(d,d) )],[refute_0_77,refute_0_85]) ).
cnf(refute_0_87,plain,
( ~ n0(c,d)
| k1(d) ),
inference(subst,[],[rule_001:[bind(I,$fot(d)),bind(J,$fot(c))]]) ).
cnf(refute_0_88,plain,
k1(d),
inference(resolve,[$cnf( n0(c,d) )],[axiom_34,refute_0_87]) ).
cnf(refute_0_89,plain,
k2(b,d),
inference(resolve,[$cnf( k1(d) )],[refute_0_88,refute_0_86]) ).
cnf(refute_0_90,plain,
m0(d,d,X_92),
inference(subst,[],[axiom_19:[bind(X,$fot(d)),bind(Y,$fot(X_92))]]) ).
cnf(refute_0_91,plain,
( ~ m0(d,d,X_92)
| m1(X_92,d,X_92) ),
inference(subst,[],[rule_005:[bind(B,$fot(X_92)),bind(C,$fot(d))]]) ).
cnf(refute_0_92,plain,
m1(X_92,d,X_92),
inference(resolve,[$cnf( m0(d,d,X_92) )],[refute_0_90,refute_0_91]) ).
cnf(refute_0_93,plain,
m1(X_720,d,X_720),
inference(subst,[],[refute_0_92:[bind(X_92,$fot(X_720))]]) ).
cnf(refute_0_94,plain,
( ~ k1(X_723)
| ~ k2(X_723,d)
| ~ m1(X_720,d,X_720)
| k2(X_720,d) ),
inference(subst,[],[rule_127:[bind(C,$fot(X_720)),bind(D,$fot(d)),bind(E,$fot(X_720)),bind(F,$fot(X_723))]]) ).
cnf(refute_0_95,plain,
( ~ k1(X_723)
| ~ k2(X_723,d)
| k2(X_720,d) ),
inference(resolve,[$cnf( m1(X_720,d,X_720) )],[refute_0_93,refute_0_94]) ).
cnf(refute_0_96,plain,
( ~ k1(b)
| ~ k2(b,d)
| k2(X_743,d) ),
inference(subst,[],[refute_0_95:[bind(X_720,$fot(X_743)),bind(X_723,$fot(b))]]) ).
cnf(refute_0_97,plain,
( ~ k1(b)
| k2(X_743,d) ),
inference(resolve,[$cnf( k2(b,d) )],[refute_0_89,refute_0_96]) ).
cnf(refute_0_98,plain,
k2(X_743,d),
inference(resolve,[$cnf( k1(b) )],[refute_0_30,refute_0_97]) ).
cnf(refute_0_99,plain,
k2(X_1008,d),
inference(subst,[],[refute_0_98:[bind(X_743,$fot(X_1008))]]) ).
cnf(refute_0_100,plain,
( ~ q0(X_1010,b)
| k3(X_1008,X_1008,b) ),
inference(resolve,[$cnf( k2(X_1008,d) )],[refute_0_99,refute_0_75]) ).
cnf(refute_0_101,plain,
( ~ q0(a,b)
| k3(X_1012,X_1012,b) ),
inference(subst,[],[refute_0_100:[bind(X_1008,$fot(X_1012)),bind(X_1010,$fot(a))]]) ).
cnf(refute_0_102,plain,
k3(X_1012,X_1012,b),
inference(resolve,[$cnf( q0(a,b) )],[axiom_36,refute_0_101]) ).
cnf(refute_0_103,plain,
k3(X_1036,X_1036,b),
inference(subst,[],[refute_0_102:[bind(X_1012,$fot(X_1036))]]) ).
cnf(refute_0_104,plain,
( ~ m3(b,X_1038,b)
| q4(b,c) ),
inference(resolve,[$cnf( k3(X_1036,X_1036,b) )],[refute_0_103,refute_0_57]) ).
cnf(refute_0_105,plain,
( ~ m3(b,b,b)
| q4(b,c) ),
inference(subst,[],[refute_0_104:[bind(X_1038,$fot(b))]]) ).
cnf(refute_0_106,plain,
q4(b,c),
inference(resolve,[$cnf( m3(b,b,b) )],[refute_0_41,refute_0_105]) ).
cnf(refute_0_107,plain,
q4(I,I),
inference(resolve,[$cnf( q4(b,c) )],[refute_0_106,refute_0_28]) ).
cnf(refute_0_108,plain,
q4(X_1040,X_1040),
inference(subst,[],[refute_0_107:[bind(I,$fot(X_1040))]]) ).
cnf(refute_0_109,plain,
( ~ k1(H)
| l5(H) ),
inference(resolve,[$cnf( q4(X_1040,X_1040) )],[refute_0_108,refute_0_2]) ).
cnf(refute_0_110,plain,
( ~ k1(c)
| l5(c) ),
inference(subst,[],[refute_0_109:[bind(H,$fot(c))]]) ).
cnf(refute_0_111,plain,
l5(c),
inference(resolve,[$cnf( k1(c) )],[refute_0_1,refute_0_110]) ).
cnf(refute_0_112,plain,
$false,
inference(resolve,[$cnf( l5(c) )],[refute_0_111,prove_this]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.11 % Problem : SYN128-1 : TPTP v8.1.0. Released v1.1.0.
% 0.06/0.12 % Command : metis --show proof --show saturation %s
% 0.12/0.33 % Computer : n024.cluster.edu
% 0.12/0.33 % Model : x86_64 x86_64
% 0.12/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33 % Memory : 8042.1875MB
% 0.12/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33 % CPULimit : 300
% 0.12/0.33 % WCLimit : 600
% 0.12/0.33 % DateTime : Mon Jul 11 15:46:43 EDT 2022
% 0.12/0.33 % CPUTime :
% 0.12/0.34 %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
% 0.38/0.58 % SZS status Unsatisfiable for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.38/0.58
% 0.38/0.58 % SZS output start CNFRefutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% See solution above
% 0.38/0.59
%------------------------------------------------------------------------------