TSTP Solution File: SYN129-1 by Metis---2.4
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Metis---2.4
% Problem : SYN129-1 : TPTP v8.1.0. Released v1.1.0.
% Transfm : none
% Format : tptp:raw
% Command : metis --show proof --show saturation %s
% Computer : n015.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 08:59:53 EDT 2022
% Result : Unsatisfiable 0.44s 0.61s
% Output : CNFRefutation 0.44s
% Verified :
% SZS Type : Refutation
% Derivation depth : 28
% Number of leaves : 41
% Syntax : Number of clauses : 163 ( 74 unt; 0 nHn; 101 RR)
% Number of literals : 308 ( 0 equ; 146 neg)
% Maximal clause size : 4 ( 1 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of predicates : 22 ( 21 usr; 1 prp; 0-3 aty)
% Number of functors : 5 ( 5 usr; 5 con; 0-0 aty)
% Number of variables : 181 ( 81 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(axiom_1,axiom,
s0(d) ).
cnf(axiom_3,axiom,
n0(d,e) ).
cnf(axiom_5,axiom,
s0(b) ).
cnf(axiom_11,axiom,
n0(e,b) ).
cnf(axiom_12,axiom,
m0(a,X,a) ).
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_28,axiom,
k0(e) ).
cnf(axiom_31,axiom,
m0(b,b,e) ).
cnf(axiom_33,axiom,
q0(d,c) ).
cnf(axiom_34,axiom,
n0(c,d) ).
cnf(axiom_36,axiom,
q0(a,b) ).
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_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_117,axiom,
( q1(d,d,d)
| ~ k0(e)
| ~ s0(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_131,axiom,
( l2(D,E)
| ~ s1(D)
| ~ n0(e,E)
| ~ l2(E,E) ) ).
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_295,axiom,
( q4(B,C)
| ~ k3(D,D,B)
| ~ q2(E,C,B)
| ~ m3(E,F,E) ) ).
cnf(rule_302,axiom,
( l5(H)
| ~ q4(I,I)
| ~ k1(H) ) ).
cnf(prove_this,negated_conjecture,
~ l5(e) ).
cnf(refute_0_0,plain,
( ~ n0(d,e)
| k1(e) ),
inference(subst,[],[rule_001:[bind(I,$fot(e)),bind(J,$fot(d))]]) ).
cnf(refute_0_1,plain,
k1(e),
inference(resolve,[$cnf( n0(d,e) )],[axiom_3,refute_0_0]) ).
cnf(refute_0_2,plain,
( ~ k1(H)
| ~ q4(c,c)
| l5(H) ),
inference(subst,[],[rule_302:[bind(I,$fot(c))]]) ).
cnf(refute_0_3,plain,
( ~ n0(a,b)
| k1(b) ),
inference(subst,[],[rule_001:[bind(I,$fot(b)),bind(J,$fot(a))]]) ).
cnf(refute_0_4,plain,
k1(b),
inference(resolve,[$cnf( n0(a,b) )],[axiom_15,refute_0_3]) ).
cnf(refute_0_5,plain,
m2(b),
inference(resolve,[$cnf( k1(b) )],[refute_0_4,rule_136]) ).
cnf(refute_0_6,plain,
( ~ n2(X_110)
| m3(X_110,X_110,X_110) ),
inference(subst,[],[rule_236:[bind(A,$fot(X_110))]]) ).
cnf(refute_0_7,plain,
p0(b,X_67),
inference(subst,[],[axiom_14:[bind(X,$fot(X_67))]]) ).
cnf(refute_0_8,plain,
( ~ p0(b,X_67)
| p1(X_67,X_67,X_67) ),
inference(subst,[],[rule_085:[bind(B,$fot(X_67)),bind(C,$fot(b))]]) ).
cnf(refute_0_9,plain,
p1(X_67,X_67,X_67),
inference(resolve,[$cnf( p0(b,X_67) )],[refute_0_7,refute_0_8]) ).
cnf(refute_0_10,plain,
p1(X_107,X_107,X_107),
inference(subst,[],[refute_0_9:[bind(X_67,$fot(X_107))]]) ).
cnf(refute_0_11,plain,
( ~ p1(X_107,X_107,X_107)
| n2(X_107) ),
inference(subst,[],[rule_137:[bind(A,$fot(X_107)),bind(B,$fot(X_107)),bind(C,$fot(X_107))]]) ).
cnf(refute_0_12,plain,
n2(X_107),
inference(resolve,[$cnf( p1(X_107,X_107,X_107) )],[refute_0_10,refute_0_11]) ).
cnf(refute_0_13,plain,
n2(X_110),
inference(subst,[],[refute_0_12:[bind(X_107,$fot(X_110))]]) ).
cnf(refute_0_14,plain,
m3(X_110,X_110,X_110),
inference(resolve,[$cnf( n2(X_110) )],[refute_0_13,refute_0_6]) ).
cnf(refute_0_15,plain,
m3(X_606,X_606,X_606),
inference(subst,[],[refute_0_14:[bind(X_110,$fot(X_606))]]) ).
cnf(refute_0_16,plain,
n2(J),
inference(subst,[],[refute_0_12:[bind(X_107,$fot(J))]]) ).
cnf(refute_0_17,plain,
( ~ m2(A)
| ~ m3(B,J,B)
| m3(J,A,A) ),
inference(resolve,[$cnf( n2(J) )],[refute_0_16,rule_228]) ).
cnf(refute_0_18,plain,
( ~ m2(X_604)
| ~ m3(X_606,X_606,X_606)
| m3(X_606,X_604,X_604) ),
inference(subst,[],[refute_0_17:[bind(A,$fot(X_604)),bind(B,$fot(X_606)),bind(J,$fot(X_606))]]) ).
cnf(refute_0_19,plain,
( ~ m2(X_604)
| m3(X_606,X_604,X_604) ),
inference(resolve,[$cnf( m3(X_606,X_606,X_606) )],[refute_0_15,refute_0_18]) ).
cnf(refute_0_20,plain,
( ~ m2(b)
| m3(X_613,b,b) ),
inference(subst,[],[refute_0_19:[bind(X_604,$fot(b)),bind(X_606,$fot(X_613))]]) ).
cnf(refute_0_21,plain,
m3(X_613,b,b),
inference(resolve,[$cnf( m2(b) )],[refute_0_5,refute_0_20]) ).
cnf(refute_0_22,plain,
m3(b,b,b),
inference(subst,[],[refute_0_21:[bind(X_613,$fot(b))]]) ).
cnf(refute_0_23,plain,
( ~ n0(d,c)
| k1(c) ),
inference(subst,[],[rule_001:[bind(I,$fot(c)),bind(J,$fot(d))]]) ).
cnf(refute_0_24,plain,
k1(c),
inference(resolve,[$cnf( n0(d,c) )],[axiom_26,refute_0_23]) ).
cnf(refute_0_25,plain,
( ~ k1(E)
| ~ l2(E,D)
| q2(D,c,E) ),
inference(resolve,[$cnf( l0(c) )],[axiom_24,rule_183]) ).
cnf(refute_0_26,plain,
( ~ k1(X_664)
| ~ l2(X_664,b)
| q2(b,c,X_664) ),
inference(subst,[],[refute_0_25:[bind(D,$fot(b)),bind(E,$fot(X_664))]]) ).
cnf(refute_0_27,plain,
p0(b,b),
inference(subst,[],[axiom_14:[bind(X,$fot(b))]]) ).
cnf(refute_0_28,plain,
( ~ p0(b,b)
| s1(b) ),
inference(subst,[],[rule_125:[bind(I,$fot(b))]]) ).
cnf(refute_0_29,plain,
s1(b),
inference(resolve,[$cnf( p0(b,b) )],[refute_0_27,refute_0_28]) ).
cnf(refute_0_30,plain,
( ~ q0(a,b)
| ~ s1(X_217)
| s1(a) ),
inference(subst,[],[rule_126:[bind(F,$fot(a)),bind(G,$fot(b)),bind(H,$fot(X_217))]]) ).
cnf(refute_0_31,plain,
( ~ s1(X_217)
| s1(a) ),
inference(resolve,[$cnf( q0(a,b) )],[axiom_36,refute_0_30]) ).
cnf(refute_0_32,plain,
( ~ s1(b)
| s1(a) ),
inference(subst,[],[refute_0_31:[bind(X_217,$fot(b))]]) ).
cnf(refute_0_33,plain,
s1(a),
inference(resolve,[$cnf( s1(b) )],[refute_0_29,refute_0_32]) ).
cnf(refute_0_34,plain,
q0(X_215,d),
inference(subst,[],[axiom_17:[bind(X,$fot(X_215))]]) ).
cnf(refute_0_35,plain,
( ~ q0(X_215,d)
| ~ s1(X_217)
| s1(X_215) ),
inference(subst,[],[rule_126:[bind(F,$fot(X_215)),bind(G,$fot(d)),bind(H,$fot(X_217))]]) ).
cnf(refute_0_36,plain,
( ~ s1(X_217)
| s1(X_215) ),
inference(resolve,[$cnf( q0(X_215,d) )],[refute_0_34,refute_0_35]) ).
cnf(refute_0_37,plain,
( ~ s1(a)
| s1(X_221) ),
inference(subst,[],[refute_0_36:[bind(X_215,$fot(X_221)),bind(X_217,$fot(a))]]) ).
cnf(refute_0_38,plain,
s1(X_221),
inference(resolve,[$cnf( s1(a) )],[refute_0_33,refute_0_37]) ).
cnf(refute_0_39,plain,
s1(D),
inference(subst,[],[refute_0_38:[bind(X_221,$fot(D))]]) ).
cnf(refute_0_40,plain,
( ~ l2(E,E)
| ~ n0(e,E)
| l2(D,E) ),
inference(resolve,[$cnf( s1(D) )],[refute_0_39,rule_131]) ).
cnf(refute_0_41,plain,
( ~ l2(b,b)
| ~ n0(e,b)
| l2(X_340,b) ),
inference(subst,[],[refute_0_40:[bind(D,$fot(X_340)),bind(E,$fot(b))]]) ).
cnf(refute_0_42,plain,
( ~ l2(b,b)
| l2(X_340,b) ),
inference(resolve,[$cnf( n0(e,b) )],[axiom_11,refute_0_41]) ).
cnf(refute_0_43,plain,
( ~ l0(X_290)
| ~ m0(b,b,e)
| m1(e,b,b) ),
inference(subst,[],[rule_015:[bind(B,$fot(e)),bind(C,$fot(b)),bind(D,$fot(X_290))]]) ).
cnf(refute_0_44,plain,
( ~ l0(X_290)
| m1(e,b,b) ),
inference(resolve,[$cnf( m0(b,b,e) )],[axiom_31,refute_0_43]) ).
cnf(refute_0_45,plain,
( ~ l0(a)
| m1(e,b,b) ),
inference(subst,[],[refute_0_44:[bind(X_290,$fot(a))]]) ).
cnf(refute_0_46,plain,
m1(e,b,b),
inference(resolve,[$cnf( l0(a) )],[axiom_20,refute_0_45]) ).
cnf(refute_0_47,plain,
( ~ m0(b,X_657,e)
| ~ m1(e,b,b)
| ~ p0(b,X_657)
| l2(X_657,X_657) ),
inference(subst,[],[rule_134:[bind(G,$fot(X_657)),bind(H,$fot(b)),bind(I,$fot(e))]]) ).
cnf(refute_0_48,plain,
( ~ m0(b,X_657,e)
| ~ p0(b,X_657)
| l2(X_657,X_657) ),
inference(resolve,[$cnf( m1(e,b,b) )],[refute_0_46,refute_0_47]) ).
cnf(refute_0_49,plain,
p0(b,X_657),
inference(subst,[],[axiom_14:[bind(X,$fot(X_657))]]) ).
cnf(refute_0_50,plain,
( ~ m0(b,X_657,e)
| l2(X_657,X_657) ),
inference(resolve,[$cnf( p0(b,X_657) )],[refute_0_49,refute_0_48]) ).
cnf(refute_0_51,plain,
( ~ m0(b,b,e)
| l2(b,b) ),
inference(subst,[],[refute_0_50:[bind(X_657,$fot(b))]]) ).
cnf(refute_0_52,plain,
l2(b,b),
inference(resolve,[$cnf( m0(b,b,e) )],[axiom_31,refute_0_51]) ).
cnf(refute_0_53,plain,
l2(X_340,b),
inference(resolve,[$cnf( l2(b,b) )],[refute_0_52,refute_0_42]) ).
cnf(refute_0_54,plain,
l2(X_664,b),
inference(subst,[],[refute_0_53:[bind(X_340,$fot(X_664))]]) ).
cnf(refute_0_55,plain,
( ~ k1(X_664)
| q2(b,c,X_664) ),
inference(resolve,[$cnf( l2(X_664,b) )],[refute_0_54,refute_0_26]) ).
cnf(refute_0_56,plain,
( ~ k1(c)
| q2(b,c,c) ),
inference(subst,[],[refute_0_55:[bind(X_664,$fot(c))]]) ).
cnf(refute_0_57,plain,
q2(b,c,c),
inference(resolve,[$cnf( k1(c) )],[refute_0_24,refute_0_56]) ).
cnf(refute_0_58,plain,
( ~ k3(X_1029,X_1029,c)
| ~ m3(b,X_1031,b)
| ~ q2(b,c,c)
| q4(c,c) ),
inference(subst,[],[rule_295:[bind(B,$fot(c)),bind(C,$fot(c)),bind(D,$fot(X_1029)),bind(E,$fot(b)),bind(F,$fot(X_1031))]]) ).
cnf(refute_0_59,plain,
( ~ k3(X_1029,X_1029,c)
| ~ m3(b,X_1031,b)
| q4(c,c) ),
inference(resolve,[$cnf( q2(b,c,c) )],[refute_0_57,refute_0_58]) ).
cnf(refute_0_60,plain,
m0(X_529,d,a),
inference(subst,[],[axiom_19:[bind(X,$fot(X_529)),bind(Y,$fot(a))]]) ).
cnf(refute_0_61,plain,
( ~ m0(X_504,X_503,a)
| ~ p1(X_504,X_503,a)
| p1(X_503,I,X_504) ),
inference(subst,[],[rule_082:[bind(A,$fot(a)),bind(H,$fot(X_503)),bind(J,$fot(X_504))]]) ).
cnf(refute_0_62,plain,
( ~ m0(a,X_500,a)
| ~ p1(a,X_500,a)
| p1(X_500,I,a) ),
inference(subst,[],[rule_082:[bind(A,$fot(a)),bind(H,$fot(X_500)),bind(J,$fot(a))]]) ).
cnf(refute_0_63,plain,
p0(b,a),
inference(subst,[],[axiom_14:[bind(X,$fot(a))]]) ).
cnf(refute_0_64,plain,
p1(a,a,a),
inference(resolve,[$cnf( p0(b,a) )],[refute_0_63,rule_075]) ).
cnf(refute_0_65,plain,
( ~ m0(a,a,a)
| ~ p1(a,a,a)
| p1(a,X_498,a) ),
inference(subst,[],[rule_082:[bind(A,$fot(a)),bind(H,$fot(a)),bind(I,$fot(X_498)),bind(J,$fot(a))]]) ).
cnf(refute_0_66,plain,
( ~ m0(a,a,a)
| p1(a,X_498,a) ),
inference(resolve,[$cnf( p1(a,a,a) )],[refute_0_64,refute_0_65]) ).
cnf(refute_0_67,plain,
m0(a,a,a),
inference(subst,[],[axiom_12:[bind(X,$fot(a))]]) ).
cnf(refute_0_68,plain,
p1(a,X_498,a),
inference(resolve,[$cnf( m0(a,a,a) )],[refute_0_67,refute_0_66]) ).
cnf(refute_0_69,plain,
p1(a,X_500,a),
inference(subst,[],[refute_0_68:[bind(X_498,$fot(X_500))]]) ).
cnf(refute_0_70,plain,
( ~ m0(a,X_500,a)
| p1(X_500,I,a) ),
inference(resolve,[$cnf( p1(a,X_500,a) )],[refute_0_69,refute_0_62]) ).
cnf(refute_0_71,plain,
m0(a,X_500,a),
inference(subst,[],[axiom_12:[bind(X,$fot(X_500))]]) ).
cnf(refute_0_72,plain,
p1(X_500,I,a),
inference(resolve,[$cnf( m0(a,X_500,a) )],[refute_0_71,refute_0_70]) ).
cnf(refute_0_73,plain,
p1(X_504,X_503,a),
inference(subst,[],[refute_0_72:[bind(I,$fot(X_503)),bind(X_500,$fot(X_504))]]) ).
cnf(refute_0_74,plain,
( ~ m0(X_504,X_503,a)
| p1(X_503,I,X_504) ),
inference(resolve,[$cnf( p1(X_504,X_503,a) )],[refute_0_73,refute_0_61]) ).
cnf(refute_0_75,plain,
( ~ m0(X_529,d,a)
| p1(d,X_527,X_529) ),
inference(subst,[],[refute_0_74:[bind(I,$fot(X_527)),bind(X_503,$fot(d)),bind(X_504,$fot(X_529))]]) ).
cnf(refute_0_76,plain,
p1(d,X_527,X_529),
inference(resolve,[$cnf( m0(X_529,d,a) )],[refute_0_60,refute_0_75]) ).
cnf(refute_0_77,plain,
p1(d,X_803,X_801),
inference(subst,[],[refute_0_76:[bind(X_527,$fot(X_803)),bind(X_529,$fot(X_801))]]) ).
cnf(refute_0_78,plain,
( ~ m2(X_803)
| ~ m2(X_804)
| ~ p1(d,X_803,X_801)
| k3(X_801,X_801,d) ),
inference(subst,[],[rule_201:[bind(B,$fot(X_801)),bind(C,$fot(d)),bind(D,$fot(X_803)),bind(E,$fot(X_804))]]) ).
cnf(refute_0_79,plain,
( ~ m2(X_803)
| ~ m2(X_804)
| k3(X_801,X_801,d) ),
inference(resolve,[$cnf( p1(d,X_803,X_801) )],[refute_0_77,refute_0_78]) ).
cnf(refute_0_80,plain,
( ~ m2(b)
| k3(X_814,X_814,d) ),
inference(subst,[],[refute_0_79:[bind(X_801,$fot(X_814)),bind(X_803,$fot(b)),bind(X_804,$fot(b))]]) ).
cnf(refute_0_81,plain,
k3(X_814,X_814,d),
inference(resolve,[$cnf( m2(b) )],[refute_0_5,refute_0_80]) ).
cnf(refute_0_82,plain,
k3(X_1000,X_1000,d),
inference(subst,[],[refute_0_81:[bind(X_814,$fot(X_1000))]]) ).
cnf(refute_0_83,plain,
( ~ k2(X_1001,d)
| ~ k3(X_1000,X_1000,d)
| ~ q0(X_1003,X_1000)
| k3(X_1001,X_1001,X_1000) ),
inference(subst,[],[rule_202:[bind(A,$fot(X_1000)),bind(G,$fot(X_1001)),bind(H,$fot(X_1000)),bind(I,$fot(X_1003)),bind(J,$fot(d))]]) ).
cnf(refute_0_84,plain,
( ~ k2(X_1001,d)
| ~ q0(X_1003,X_1000)
| k3(X_1001,X_1001,X_1000) ),
inference(resolve,[$cnf( k3(X_1000,X_1000,d) )],[refute_0_82,refute_0_83]) ).
cnf(refute_0_85,plain,
( ~ s0(d)
| q1(d,d,d) ),
inference(resolve,[$cnf( k0(e) )],[axiom_28,rule_117]) ).
cnf(refute_0_86,plain,
q1(d,d,d),
inference(resolve,[$cnf( s0(d) )],[axiom_1,refute_0_85]) ).
cnf(refute_0_87,plain,
( ~ q1(d,d,d)
| k2(d,d) ),
inference(subst,[],[rule_129:[bind(A,$fot(d)),bind(J,$fot(d))]]) ).
cnf(refute_0_88,plain,
k2(d,d),
inference(resolve,[$cnf( q1(d,d,d) )],[refute_0_86,refute_0_87]) ).
cnf(refute_0_89,plain,
p0(b,X_188),
inference(subst,[],[axiom_14:[bind(X,$fot(X_188))]]) ).
cnf(refute_0_90,plain,
( ~ p0(b,X_188)
| ~ s0(b)
| m1(b,X_188,b) ),
inference(subst,[],[rule_029:[bind(H,$fot(b)),bind(I,$fot(X_188))]]) ).
cnf(refute_0_91,plain,
( ~ s0(b)
| m1(b,X_188,b) ),
inference(resolve,[$cnf( p0(b,X_188) )],[refute_0_89,refute_0_90]) ).
cnf(refute_0_92,plain,
m1(b,X_188,b),
inference(resolve,[$cnf( s0(b) )],[axiom_5,refute_0_91]) ).
cnf(refute_0_93,plain,
m1(b,X_714,b),
inference(subst,[],[refute_0_92:[bind(X_188,$fot(X_714))]]) ).
cnf(refute_0_94,plain,
( ~ k1(X_716)
| ~ k2(X_716,X_714)
| ~ m1(b,X_714,b)
| k2(b,X_714) ),
inference(subst,[],[rule_127:[bind(C,$fot(b)),bind(D,$fot(X_714)),bind(E,$fot(b)),bind(F,$fot(X_716))]]) ).
cnf(refute_0_95,plain,
( ~ k1(X_716)
| ~ k2(X_716,X_714)
| k2(b,X_714) ),
inference(resolve,[$cnf( m1(b,X_714,b) )],[refute_0_93,refute_0_94]) ).
cnf(refute_0_96,plain,
( ~ k1(d)
| ~ k2(d,d)
| k2(b,d) ),
inference(subst,[],[refute_0_95:[bind(X_714,$fot(d)),bind(X_716,$fot(d))]]) ).
cnf(refute_0_97,plain,
( ~ k1(d)
| k2(b,d) ),
inference(resolve,[$cnf( k2(d,d) )],[refute_0_88,refute_0_96]) ).
cnf(refute_0_98,plain,
( ~ n0(c,d)
| k1(d) ),
inference(subst,[],[rule_001:[bind(I,$fot(d)),bind(J,$fot(c))]]) ).
cnf(refute_0_99,plain,
k1(d),
inference(resolve,[$cnf( n0(c,d) )],[axiom_34,refute_0_98]) ).
cnf(refute_0_100,plain,
k2(b,d),
inference(resolve,[$cnf( k1(d) )],[refute_0_99,refute_0_97]) ).
cnf(refute_0_101,plain,
m0(d,d,X_93),
inference(subst,[],[axiom_19:[bind(X,$fot(d)),bind(Y,$fot(X_93))]]) ).
cnf(refute_0_102,plain,
( ~ m0(d,d,X_93)
| m1(X_93,d,X_93) ),
inference(subst,[],[rule_005:[bind(B,$fot(X_93)),bind(C,$fot(d))]]) ).
cnf(refute_0_103,plain,
m1(X_93,d,X_93),
inference(resolve,[$cnf( m0(d,d,X_93) )],[refute_0_101,refute_0_102]) ).
cnf(refute_0_104,plain,
m1(X_713,d,X_713),
inference(subst,[],[refute_0_103:[bind(X_93,$fot(X_713))]]) ).
cnf(refute_0_105,plain,
( ~ k1(X_716)
| ~ k2(X_716,d)
| ~ m1(X_713,d,X_713)
| k2(X_713,d) ),
inference(subst,[],[rule_127:[bind(C,$fot(X_713)),bind(D,$fot(d)),bind(E,$fot(X_713)),bind(F,$fot(X_716))]]) ).
cnf(refute_0_106,plain,
( ~ k1(X_716)
| ~ k2(X_716,d)
| k2(X_713,d) ),
inference(resolve,[$cnf( m1(X_713,d,X_713) )],[refute_0_104,refute_0_105]) ).
cnf(refute_0_107,plain,
( ~ k1(b)
| ~ k2(b,d)
| k2(X_736,d) ),
inference(subst,[],[refute_0_106:[bind(X_713,$fot(X_736)),bind(X_716,$fot(b))]]) ).
cnf(refute_0_108,plain,
( ~ k1(b)
| k2(X_736,d) ),
inference(resolve,[$cnf( k2(b,d) )],[refute_0_100,refute_0_107]) ).
cnf(refute_0_109,plain,
k2(X_736,d),
inference(resolve,[$cnf( k1(b) )],[refute_0_4,refute_0_108]) ).
cnf(refute_0_110,plain,
k2(X_1001,d),
inference(subst,[],[refute_0_109:[bind(X_736,$fot(X_1001))]]) ).
cnf(refute_0_111,plain,
( ~ q0(X_1003,X_1000)
| k3(X_1001,X_1001,X_1000) ),
inference(resolve,[$cnf( k2(X_1001,d) )],[refute_0_110,refute_0_84]) ).
cnf(refute_0_112,plain,
( ~ q0(d,c)
| k3(X_1015,X_1015,c) ),
inference(subst,[],[refute_0_111:[bind(X_1000,$fot(c)),bind(X_1001,$fot(X_1015)),bind(X_1003,$fot(d))]]) ).
cnf(refute_0_113,plain,
k3(X_1015,X_1015,c),
inference(resolve,[$cnf( q0(d,c) )],[axiom_33,refute_0_112]) ).
cnf(refute_0_114,plain,
k3(X_1029,X_1029,c),
inference(subst,[],[refute_0_113:[bind(X_1015,$fot(X_1029))]]) ).
cnf(refute_0_115,plain,
( ~ m3(b,X_1031,b)
| q4(c,c) ),
inference(resolve,[$cnf( k3(X_1029,X_1029,c) )],[refute_0_114,refute_0_59]) ).
cnf(refute_0_116,plain,
( ~ m3(b,b,b)
| q4(c,c) ),
inference(subst,[],[refute_0_115:[bind(X_1031,$fot(b))]]) ).
cnf(refute_0_117,plain,
q4(c,c),
inference(resolve,[$cnf( m3(b,b,b) )],[refute_0_22,refute_0_116]) ).
cnf(refute_0_118,plain,
( ~ k1(H)
| l5(H) ),
inference(resolve,[$cnf( q4(c,c) )],[refute_0_117,refute_0_2]) ).
cnf(refute_0_119,plain,
( ~ k1(e)
| l5(e) ),
inference(subst,[],[refute_0_118:[bind(H,$fot(e))]]) ).
cnf(refute_0_120,plain,
l5(e),
inference(resolve,[$cnf( k1(e) )],[refute_0_1,refute_0_119]) ).
cnf(refute_0_121,plain,
$false,
inference(resolve,[$cnf( l5(e) )],[refute_0_120,prove_this]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.12/0.12 % Problem : SYN129-1 : TPTP v8.1.0. Released v1.1.0.
% 0.12/0.13 % Command : metis --show proof --show saturation %s
% 0.12/0.34 % Computer : n015.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 21:33:09 EDT 2022
% 0.12/0.34 % CPUTime :
% 0.12/0.34 %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
% 0.44/0.61 % SZS status Unsatisfiable for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.44/0.61
% 0.44/0.61 % SZS output start CNFRefutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% See solution above
% 0.44/0.62
%------------------------------------------------------------------------------