TSTP Solution File: SYN269-1 by Metis---2.4
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Metis---2.4
% Problem : SYN269-1 : TPTP v8.1.0. Released v1.1.0.
% Transfm : none
% Format : tptp:raw
% Command : metis --show proof --show saturation %s
% Computer : n020.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 09:00:51 EDT 2022
% Result : Unsatisfiable 0.43s 0.59s
% Output : CNFRefutation 0.43s
% Verified :
% SZS Type : Refutation
% Derivation depth : 20
% Number of leaves : 43
% Syntax : Number of clauses : 174 ( 71 unt; 0 nHn; 128 RR)
% Number of literals : 338 ( 0 equ; 165 neg)
% Maximal clause size : 4 ( 1 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of predicates : 27 ( 26 usr; 1 prp; 0-3 aty)
% Number of functors : 5 ( 5 usr; 5 con; 0-0 aty)
% Number of variables : 164 ( 54 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(axiom_1,axiom,
s0(d) ).
cnf(axiom_5,axiom,
s0(b) ).
cnf(axiom_9,axiom,
r0(b) ).
cnf(axiom_11,axiom,
n0(e,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_31,axiom,
m0(b,b,e) ).
cnf(axiom_32,axiom,
k0(b) ).
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_015,axiom,
( m1(B,C,C)
| ~ l0(D)
| ~ m0(C,C,B) ) ).
cnf(rule_021,axiom,
( m1(I,J,I)
| ~ l0(I)
| ~ k0(J) ) ).
cnf(rule_050,axiom,
( n1(D,E,D)
| ~ s0(b)
| ~ l0(D)
| ~ p0(b,E) ) ).
cnf(rule_054,axiom,
( n1(E,F,F)
| ~ l0(G)
| ~ l1(G,E)
| ~ n1(E,F,E) ) ).
cnf(rule_085,axiom,
( p1(B,B,B)
| ~ p0(C,B) ) ).
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_120,axiom,
( q1(b,b,b)
| ~ r0(b) ) ).
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_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_177,axiom,
( q2(E,F,F)
| ~ k0(F)
| ~ p1(E,E,E) ) ).
cnf(rule_182,axiom,
( q2(F,G,F)
| ~ p1(F,F,H)
| ~ n1(G,F,H)
| ~ q2(G,H,F) ) ).
cnf(rule_188,axiom,
( r2(G)
| ~ r1(G)
| ~ l0(G) ) ).
cnf(rule_189,axiom,
( s2(H)
| ~ q2(b,H,b)
| ~ s1(b) ) ).
cnf(rule_194,axiom,
( k3(F,F,G)
| ~ k2(G,F) ) ).
cnf(rule_231,axiom,
( m3(H,I,H)
| ~ r2(H)
| ~ k2(c,I) ) ).
cnf(rule_260,axiom,
( r3(G,H,H)
| ~ s2(H)
| ~ l2(c,G) ) ).
cnf(rule_268,axiom,
( r3(H,H,I)
| ~ m2(I)
| ~ m3(J,b,H)
| ~ r3(I,A,A) ) ).
cnf(rule_287,axiom,
( p4(B,C,B)
| ~ k3(B,B,C) ) ).
cnf(rule_288,axiom,
( p4(H,I,I)
| ~ r3(I,I,H)
| ~ p4(J,J,A) ) ).
cnf(prove_this,negated_conjecture,
~ p4(b,a,a) ).
cnf(refute_0_0,plain,
m0(A,d,A),
inference(subst,[],[axiom_19:[bind(X,$fot(A)),bind(Y,$fot(A))]]) ).
cnf(refute_0_1,plain,
( ~ m0(e,d,A)
| q1(e,A,A) ),
inference(resolve,[$cnf( m0(A,d,A) )],[refute_0_0,rule_107]) ).
cnf(refute_0_2,plain,
m0(e,d,A),
inference(subst,[],[axiom_19:[bind(X,$fot(e)),bind(Y,$fot(A))]]) ).
cnf(refute_0_3,plain,
q1(e,A,A),
inference(resolve,[$cnf( m0(e,d,A) )],[refute_0_2,refute_0_1]) ).
cnf(refute_0_4,plain,
q1(e,X_76,X_76),
inference(subst,[],[refute_0_3:[bind(A,$fot(X_76))]]) ).
cnf(refute_0_5,plain,
( ~ q1(e,X_76,X_76)
| k2(X_76,X_76) ),
inference(subst,[],[rule_129:[bind(A,$fot(e)),bind(J,$fot(X_76))]]) ).
cnf(refute_0_6,plain,
k2(X_76,X_76),
inference(resolve,[$cnf( q1(e,X_76,X_76) )],[refute_0_4,refute_0_5]) ).
cnf(refute_0_7,plain,
k2(X_82,X_82),
inference(subst,[],[refute_0_6:[bind(X_76,$fot(X_82))]]) ).
cnf(refute_0_8,plain,
( ~ k2(X_82,X_82)
| k3(X_82,X_82,X_82) ),
inference(subst,[],[rule_194:[bind(F,$fot(X_82)),bind(G,$fot(X_82))]]) ).
cnf(refute_0_9,plain,
k3(X_82,X_82,X_82),
inference(resolve,[$cnf( k2(X_82,X_82) )],[refute_0_7,refute_0_8]) ).
cnf(refute_0_10,plain,
k3(X_131,X_131,X_131),
inference(subst,[],[refute_0_9:[bind(X_82,$fot(X_131))]]) ).
cnf(refute_0_11,plain,
( ~ k3(X_131,X_131,X_131)
| p4(X_131,X_131,X_131) ),
inference(subst,[],[rule_287:[bind(B,$fot(X_131)),bind(C,$fot(X_131))]]) ).
cnf(refute_0_12,plain,
p4(X_131,X_131,X_131),
inference(resolve,[$cnf( k3(X_131,X_131,X_131) )],[refute_0_10,refute_0_11]) ).
cnf(refute_0_13,plain,
p4(X_599,X_599,X_599),
inference(subst,[],[refute_0_12:[bind(X_131,$fot(X_599))]]) ).
cnf(refute_0_14,plain,
( ~ p4(X_599,X_599,X_599)
| ~ r3(X_601,X_601,X_600)
| p4(X_600,X_601,X_601) ),
inference(subst,[],[rule_288:[bind(A,$fot(X_599)),bind(H,$fot(X_600)),bind(I,$fot(X_601)),bind(J,$fot(X_599))]]) ).
cnf(refute_0_15,plain,
( ~ r3(X_601,X_601,X_600)
| p4(X_600,X_601,X_601) ),
inference(resolve,[$cnf( p4(X_599,X_599,X_599) )],[refute_0_13,refute_0_14]) ).
cnf(refute_0_16,plain,
( ~ r3(a,a,b)
| p4(b,a,a) ),
inference(subst,[],[refute_0_15:[bind(X_600,$fot(b)),bind(X_601,$fot(a))]]) ).
cnf(refute_0_17,plain,
( ~ l0(X_196)
| ~ r1(X_196)
| r2(X_196) ),
inference(subst,[],[rule_188:[bind(G,$fot(X_196))]]) ).
cnf(refute_0_18,plain,
q0(X_194,d),
inference(subst,[],[axiom_17:[bind(X,$fot(X_194))]]) ).
cnf(refute_0_19,plain,
( ~ q0(D,E)
| ~ q1(d,E,d)
| r1(D) ),
inference(resolve,[$cnf( s0(d) )],[axiom_1,rule_124]) ).
cnf(refute_0_20,plain,
( ~ q0(X_194,d)
| ~ q1(d,d,d)
| r1(X_194) ),
inference(subst,[],[refute_0_19:[bind(D,$fot(X_194)),bind(E,$fot(d))]]) ).
cnf(refute_0_21,plain,
( ~ q1(d,d,d)
| r1(X_194) ),
inference(resolve,[$cnf( q0(X_194,d) )],[refute_0_18,refute_0_20]) ).
cnf(refute_0_22,plain,
m0(X_156,d,X_155),
inference(subst,[],[axiom_19:[bind(X,$fot(X_156)),bind(Y,$fot(X_155))]]) ).
cnf(refute_0_23,plain,
( ~ m0(X_156,d,X_155)
| q1(X_155,X_155,X_155) ),
inference(subst,[],[rule_110:[bind(B,$fot(X_155)),bind(C,$fot(X_156)),bind(D,$fot(d))]]) ).
cnf(refute_0_24,plain,
q1(X_155,X_155,X_155),
inference(resolve,[$cnf( m0(X_156,d,X_155) )],[refute_0_22,refute_0_23]) ).
cnf(refute_0_25,plain,
q1(d,d,d),
inference(subst,[],[refute_0_24:[bind(X_155,$fot(d))]]) ).
cnf(refute_0_26,plain,
r1(X_194),
inference(resolve,[$cnf( q1(d,d,d) )],[refute_0_25,refute_0_21]) ).
cnf(refute_0_27,plain,
r1(X_196),
inference(subst,[],[refute_0_26:[bind(X_194,$fot(X_196))]]) ).
cnf(refute_0_28,plain,
( ~ l0(X_196)
| r2(X_196) ),
inference(resolve,[$cnf( r1(X_196) )],[refute_0_27,refute_0_17]) ).
cnf(refute_0_29,plain,
( ~ l0(a)
| r2(a) ),
inference(subst,[],[refute_0_28:[bind(X_196,$fot(a))]]) ).
cnf(refute_0_30,plain,
r2(a),
inference(resolve,[$cnf( l0(a) )],[axiom_20,refute_0_29]) ).
cnf(refute_0_31,plain,
( ~ k2(c,b)
| ~ r2(H)
| m3(H,b,H) ),
inference(subst,[],[rule_231:[bind(I,$fot(b))]]) ).
cnf(refute_0_32,plain,
q1(b,b,b),
inference(resolve,[$cnf( r0(b) )],[axiom_9,rule_120]) ).
cnf(refute_0_33,plain,
( ~ q1(b,b,b)
| k2(b,b) ),
inference(subst,[],[rule_129:[bind(A,$fot(b)),bind(J,$fot(b))]]) ).
cnf(refute_0_34,plain,
k2(b,b),
inference(resolve,[$cnf( q1(b,b,b) )],[refute_0_32,refute_0_33]) ).
cnf(refute_0_35,plain,
( ~ k0(X_165)
| ~ l0(a)
| m1(a,X_165,a) ),
inference(subst,[],[rule_021:[bind(I,$fot(a)),bind(J,$fot(X_165))]]) ).
cnf(refute_0_36,plain,
( ~ k0(X_165)
| m1(a,X_165,a) ),
inference(resolve,[$cnf( l0(a) )],[axiom_20,refute_0_35]) ).
cnf(refute_0_37,plain,
( ~ k0(b)
| m1(a,b,a) ),
inference(subst,[],[refute_0_36:[bind(X_165,$fot(b))]]) ).
cnf(refute_0_38,plain,
m1(a,b,a),
inference(resolve,[$cnf( k0(b) )],[axiom_32,refute_0_37]) ).
cnf(refute_0_39,plain,
( ~ k1(X_719)
| ~ k2(X_719,b)
| ~ m1(a,b,a)
| k2(a,b) ),
inference(subst,[],[rule_127:[bind(C,$fot(a)),bind(D,$fot(b)),bind(E,$fot(a)),bind(F,$fot(X_719))]]) ).
cnf(refute_0_40,plain,
( ~ k1(X_719)
| ~ k2(X_719,b)
| k2(a,b) ),
inference(resolve,[$cnf( m1(a,b,a) )],[refute_0_38,refute_0_39]) ).
cnf(refute_0_41,plain,
( ~ k1(b)
| ~ k2(b,b)
| k2(a,b) ),
inference(subst,[],[refute_0_40:[bind(X_719,$fot(b))]]) ).
cnf(refute_0_42,plain,
( ~ k1(b)
| k2(a,b) ),
inference(resolve,[$cnf( k2(b,b) )],[refute_0_34,refute_0_41]) ).
cnf(refute_0_43,plain,
( ~ n0(a,b)
| k1(b) ),
inference(subst,[],[rule_001:[bind(I,$fot(b)),bind(J,$fot(a))]]) ).
cnf(refute_0_44,plain,
k1(b),
inference(resolve,[$cnf( n0(a,b) )],[axiom_15,refute_0_43]) ).
cnf(refute_0_45,plain,
k2(a,b),
inference(resolve,[$cnf( k1(b) )],[refute_0_44,refute_0_42]) ).
cnf(refute_0_46,plain,
( ~ k0(X_165)
| ~ l0(c)
| m1(c,X_165,c) ),
inference(subst,[],[rule_021:[bind(I,$fot(c)),bind(J,$fot(X_165))]]) ).
cnf(refute_0_47,plain,
( ~ k0(X_165)
| m1(c,X_165,c) ),
inference(resolve,[$cnf( l0(c) )],[axiom_24,refute_0_46]) ).
cnf(refute_0_48,plain,
( ~ k0(b)
| m1(c,b,c) ),
inference(subst,[],[refute_0_47:[bind(X_165,$fot(b))]]) ).
cnf(refute_0_49,plain,
m1(c,b,c),
inference(resolve,[$cnf( k0(b) )],[axiom_32,refute_0_48]) ).
cnf(refute_0_50,plain,
( ~ k1(X_719)
| ~ k2(X_719,b)
| ~ m1(c,b,c)
| k2(c,b) ),
inference(subst,[],[rule_127:[bind(C,$fot(c)),bind(D,$fot(b)),bind(E,$fot(c)),bind(F,$fot(X_719))]]) ).
cnf(refute_0_51,plain,
( ~ k1(X_719)
| ~ k2(X_719,b)
| k2(c,b) ),
inference(resolve,[$cnf( m1(c,b,c) )],[refute_0_49,refute_0_50]) ).
cnf(refute_0_52,plain,
( ~ k1(a)
| ~ k2(a,b)
| k2(c,b) ),
inference(subst,[],[refute_0_51:[bind(X_719,$fot(a))]]) ).
cnf(refute_0_53,plain,
( ~ k1(a)
| k2(c,b) ),
inference(resolve,[$cnf( k2(a,b) )],[refute_0_45,refute_0_52]) ).
cnf(refute_0_54,plain,
( ~ n0(b,a)
| k1(a) ),
inference(subst,[],[rule_001:[bind(I,$fot(a)),bind(J,$fot(b))]]) ).
cnf(refute_0_55,plain,
k1(a),
inference(resolve,[$cnf( n0(b,a) )],[axiom_37,refute_0_54]) ).
cnf(refute_0_56,plain,
k2(c,b),
inference(resolve,[$cnf( k1(a) )],[refute_0_55,refute_0_53]) ).
cnf(refute_0_57,plain,
( ~ r2(H)
| m3(H,b,H) ),
inference(resolve,[$cnf( k2(c,b) )],[refute_0_56,refute_0_31]) ).
cnf(refute_0_58,plain,
( ~ r2(a)
| m3(a,b,a) ),
inference(subst,[],[refute_0_57:[bind(H,$fot(a))]]) ).
cnf(refute_0_59,plain,
m3(a,b,a),
inference(resolve,[$cnf( r2(a) )],[refute_0_30,refute_0_58]) ).
cnf(refute_0_60,plain,
( ~ l2(c,b)
| ~ s2(H)
| r3(b,H,H) ),
inference(subst,[],[rule_260:[bind(G,$fot(b))]]) ).
cnf(refute_0_61,plain,
p0(b,b),
inference(subst,[],[axiom_14:[bind(X,$fot(b))]]) ).
cnf(refute_0_62,plain,
( ~ p0(b,b)
| s1(b) ),
inference(subst,[],[rule_125:[bind(I,$fot(b))]]) ).
cnf(refute_0_63,plain,
s1(b),
inference(resolve,[$cnf( p0(b,b) )],[refute_0_61,refute_0_62]) ).
cnf(refute_0_64,plain,
( ~ q0(a,b)
| ~ s1(X_217)
| s1(a) ),
inference(subst,[],[rule_126:[bind(F,$fot(a)),bind(G,$fot(b)),bind(H,$fot(X_217))]]) ).
cnf(refute_0_65,plain,
( ~ s1(X_217)
| s1(a) ),
inference(resolve,[$cnf( q0(a,b) )],[axiom_36,refute_0_64]) ).
cnf(refute_0_66,plain,
( ~ s1(b)
| s1(a) ),
inference(subst,[],[refute_0_65:[bind(X_217,$fot(b))]]) ).
cnf(refute_0_67,plain,
s1(a),
inference(resolve,[$cnf( s1(b) )],[refute_0_63,refute_0_66]) ).
cnf(refute_0_68,plain,
q0(X_215,d),
inference(subst,[],[axiom_17:[bind(X,$fot(X_215))]]) ).
cnf(refute_0_69,plain,
( ~ q0(X_215,d)
| ~ s1(X_217)
| s1(X_215) ),
inference(subst,[],[rule_126:[bind(F,$fot(X_215)),bind(G,$fot(d)),bind(H,$fot(X_217))]]) ).
cnf(refute_0_70,plain,
( ~ s1(X_217)
| s1(X_215) ),
inference(resolve,[$cnf( q0(X_215,d) )],[refute_0_68,refute_0_69]) ).
cnf(refute_0_71,plain,
( ~ s1(a)
| s1(X_221) ),
inference(subst,[],[refute_0_70:[bind(X_215,$fot(X_221)),bind(X_217,$fot(a))]]) ).
cnf(refute_0_72,plain,
s1(X_221),
inference(resolve,[$cnf( s1(a) )],[refute_0_67,refute_0_71]) ).
cnf(refute_0_73,plain,
s1(D),
inference(subst,[],[refute_0_72:[bind(X_221,$fot(D))]]) ).
cnf(refute_0_74,plain,
( ~ l2(E,E)
| ~ n0(e,E)
| l2(D,E) ),
inference(resolve,[$cnf( s1(D) )],[refute_0_73,rule_131]) ).
cnf(refute_0_75,plain,
( ~ l2(b,b)
| ~ n0(e,b)
| l2(X_356,b) ),
inference(subst,[],[refute_0_74:[bind(D,$fot(X_356)),bind(E,$fot(b))]]) ).
cnf(refute_0_76,plain,
( ~ l2(b,b)
| l2(X_356,b) ),
inference(resolve,[$cnf( n0(e,b) )],[axiom_11,refute_0_75]) ).
cnf(refute_0_77,plain,
( ~ l0(X_303)
| ~ m0(b,b,e)
| m1(e,b,b) ),
inference(subst,[],[rule_015:[bind(B,$fot(e)),bind(C,$fot(b)),bind(D,$fot(X_303))]]) ).
cnf(refute_0_78,plain,
( ~ l0(X_303)
| m1(e,b,b) ),
inference(resolve,[$cnf( m0(b,b,e) )],[axiom_31,refute_0_77]) ).
cnf(refute_0_79,plain,
( ~ l0(a)
| m1(e,b,b) ),
inference(subst,[],[refute_0_78:[bind(X_303,$fot(a))]]) ).
cnf(refute_0_80,plain,
m1(e,b,b),
inference(resolve,[$cnf( l0(a) )],[axiom_20,refute_0_79]) ).
cnf(refute_0_81,plain,
( ~ m0(b,X_681,e)
| ~ m1(e,b,b)
| ~ p0(b,X_681)
| l2(X_681,X_681) ),
inference(subst,[],[rule_134:[bind(G,$fot(X_681)),bind(H,$fot(b)),bind(I,$fot(e))]]) ).
cnf(refute_0_82,plain,
( ~ m0(b,X_681,e)
| ~ p0(b,X_681)
| l2(X_681,X_681) ),
inference(resolve,[$cnf( m1(e,b,b) )],[refute_0_80,refute_0_81]) ).
cnf(refute_0_83,plain,
p0(b,X_681),
inference(subst,[],[axiom_14:[bind(X,$fot(X_681))]]) ).
cnf(refute_0_84,plain,
( ~ m0(b,X_681,e)
| l2(X_681,X_681) ),
inference(resolve,[$cnf( p0(b,X_681) )],[refute_0_83,refute_0_82]) ).
cnf(refute_0_85,plain,
( ~ m0(b,b,e)
| l2(b,b) ),
inference(subst,[],[refute_0_84:[bind(X_681,$fot(b))]]) ).
cnf(refute_0_86,plain,
l2(b,b),
inference(resolve,[$cnf( m0(b,b,e) )],[axiom_31,refute_0_85]) ).
cnf(refute_0_87,plain,
l2(X_356,b),
inference(resolve,[$cnf( l2(b,b) )],[refute_0_86,refute_0_76]) ).
cnf(refute_0_88,plain,
l2(c,b),
inference(subst,[],[refute_0_87:[bind(X_356,$fot(c))]]) ).
cnf(refute_0_89,plain,
( ~ s2(H)
| r3(b,H,H) ),
inference(resolve,[$cnf( l2(c,b) )],[refute_0_88,refute_0_60]) ).
cnf(refute_0_90,plain,
( ~ s2(a)
| r3(b,a,a) ),
inference(subst,[],[refute_0_89:[bind(H,$fot(a))]]) ).
cnf(refute_0_91,plain,
( ~ q2(b,H,b)
| s2(H) ),
inference(resolve,[$cnf( s1(b) )],[refute_0_63,rule_189]) ).
cnf(refute_0_92,plain,
( ~ q2(b,a,b)
| s2(a) ),
inference(subst,[],[refute_0_91:[bind(H,$fot(a))]]) ).
cnf(refute_0_93,plain,
( ~ n0(b,a)
| l1(a,a) ),
inference(subst,[],[rule_002:[bind(G,$fot(a)),bind(H,$fot(b))]]) ).
cnf(refute_0_94,plain,
l1(a,a),
inference(resolve,[$cnf( n0(b,a) )],[axiom_37,refute_0_93]) ).
cnf(refute_0_95,plain,
p0(b,E),
inference(subst,[],[axiom_14:[bind(X,$fot(E))]]) ).
cnf(refute_0_96,plain,
( ~ l0(D)
| ~ s0(b)
| n1(D,E,D) ),
inference(resolve,[$cnf( p0(b,E) )],[refute_0_95,rule_050]) ).
cnf(refute_0_97,plain,
( ~ l0(D)
| n1(D,E,D) ),
inference(resolve,[$cnf( s0(b) )],[axiom_5,refute_0_96]) ).
cnf(refute_0_98,plain,
( ~ l0(a)
| n1(a,X_48,a) ),
inference(subst,[],[refute_0_97:[bind(D,$fot(a)),bind(E,$fot(X_48))]]) ).
cnf(refute_0_99,plain,
n1(a,X_48,a),
inference(resolve,[$cnf( l0(a) )],[axiom_20,refute_0_98]) ).
cnf(refute_0_100,plain,
n1(a,X_658,a),
inference(subst,[],[refute_0_99:[bind(X_48,$fot(X_658))]]) ).
cnf(refute_0_101,plain,
( ~ l0(X_659)
| ~ l1(X_659,a)
| ~ n1(a,X_658,a)
| n1(a,X_658,X_658) ),
inference(subst,[],[rule_054:[bind(E,$fot(a)),bind(F,$fot(X_658)),bind(G,$fot(X_659))]]) ).
cnf(refute_0_102,plain,
( ~ l0(X_659)
| ~ l1(X_659,a)
| n1(a,X_658,X_658) ),
inference(resolve,[$cnf( n1(a,X_658,a) )],[refute_0_100,refute_0_101]) ).
cnf(refute_0_103,plain,
( ~ l0(a)
| ~ l1(a,a)
| n1(a,X_665,X_665) ),
inference(subst,[],[refute_0_102:[bind(X_658,$fot(X_665)),bind(X_659,$fot(a))]]) ).
cnf(refute_0_104,plain,
( ~ l0(a)
| n1(a,X_665,X_665) ),
inference(resolve,[$cnf( l1(a,a) )],[refute_0_94,refute_0_103]) ).
cnf(refute_0_105,plain,
n1(a,X_665,X_665),
inference(resolve,[$cnf( l0(a) )],[axiom_20,refute_0_104]) ).
cnf(refute_0_106,plain,
n1(a,b,b),
inference(subst,[],[refute_0_105:[bind(X_665,$fot(b))]]) ).
cnf(refute_0_107,plain,
p0(b,X_64),
inference(subst,[],[axiom_14:[bind(X,$fot(X_64))]]) ).
cnf(refute_0_108,plain,
( ~ p0(b,X_64)
| p1(X_64,X_64,X_64) ),
inference(subst,[],[rule_085:[bind(B,$fot(X_64)),bind(C,$fot(b))]]) ).
cnf(refute_0_109,plain,
p1(X_64,X_64,X_64),
inference(resolve,[$cnf( p0(b,X_64) )],[refute_0_107,refute_0_108]) ).
cnf(refute_0_110,plain,
p1(E,E,E),
inference(subst,[],[refute_0_109:[bind(X_64,$fot(E))]]) ).
cnf(refute_0_111,plain,
( ~ k0(F)
| q2(E,F,F) ),
inference(resolve,[$cnf( p1(E,E,E) )],[refute_0_110,rule_177]) ).
cnf(refute_0_112,plain,
( ~ k0(b)
| q2(X_238,b,b) ),
inference(subst,[],[refute_0_111:[bind(E,$fot(X_238)),bind(F,$fot(b))]]) ).
cnf(refute_0_113,plain,
q2(X_238,b,b),
inference(resolve,[$cnf( k0(b) )],[axiom_32,refute_0_112]) ).
cnf(refute_0_114,plain,
q2(X_821,b,b),
inference(subst,[],[refute_0_113:[bind(X_238,$fot(X_821))]]) ).
cnf(refute_0_115,plain,
( ~ n1(X_821,b,b)
| ~ p1(b,b,b)
| ~ q2(X_821,b,b)
| q2(b,X_821,b) ),
inference(subst,[],[rule_182:[bind(F,$fot(b)),bind(G,$fot(X_821)),bind(H,$fot(b))]]) ).
cnf(refute_0_116,plain,
( ~ n1(X_821,b,b)
| ~ p1(b,b,b)
| q2(b,X_821,b) ),
inference(resolve,[$cnf( q2(X_821,b,b) )],[refute_0_114,refute_0_115]) ).
cnf(refute_0_117,plain,
p1(b,b,b),
inference(subst,[],[refute_0_109:[bind(X_64,$fot(b))]]) ).
cnf(refute_0_118,plain,
( ~ n1(X_821,b,b)
| q2(b,X_821,b) ),
inference(resolve,[$cnf( p1(b,b,b) )],[refute_0_117,refute_0_116]) ).
cnf(refute_0_119,plain,
( ~ n1(a,b,b)
| q2(b,a,b) ),
inference(subst,[],[refute_0_118:[bind(X_821,$fot(a))]]) ).
cnf(refute_0_120,plain,
q2(b,a,b),
inference(resolve,[$cnf( n1(a,b,b) )],[refute_0_106,refute_0_119]) ).
cnf(refute_0_121,plain,
s2(a),
inference(resolve,[$cnf( q2(b,a,b) )],[refute_0_120,refute_0_92]) ).
cnf(refute_0_122,plain,
r3(b,a,a),
inference(resolve,[$cnf( s2(a) )],[refute_0_121,refute_0_90]) ).
cnf(refute_0_123,plain,
( ~ m2(b)
| ~ m3(X_911,b,X_909)
| ~ r3(b,a,a)
| r3(X_909,X_909,b) ),
inference(subst,[],[rule_268:[bind(A,$fot(a)),bind(H,$fot(X_909)),bind(I,$fot(b)),bind(J,$fot(X_911))]]) ).
cnf(refute_0_124,plain,
( ~ m2(b)
| ~ m3(X_911,b,X_909)
| r3(X_909,X_909,b) ),
inference(resolve,[$cnf( r3(b,a,a) )],[refute_0_122,refute_0_123]) ).
cnf(refute_0_125,plain,
m2(b),
inference(resolve,[$cnf( k1(b) )],[refute_0_44,rule_136]) ).
cnf(refute_0_126,plain,
( ~ m3(X_911,b,X_909)
| r3(X_909,X_909,b) ),
inference(resolve,[$cnf( m2(b) )],[refute_0_125,refute_0_124]) ).
cnf(refute_0_127,plain,
( ~ m3(a,b,a)
| r3(a,a,b) ),
inference(subst,[],[refute_0_126:[bind(X_909,$fot(a)),bind(X_911,$fot(a))]]) ).
cnf(refute_0_128,plain,
r3(a,a,b),
inference(resolve,[$cnf( m3(a,b,a) )],[refute_0_59,refute_0_127]) ).
cnf(refute_0_129,plain,
p4(b,a,a),
inference(resolve,[$cnf( r3(a,a,b) )],[refute_0_128,refute_0_16]) ).
cnf(refute_0_130,plain,
$false,
inference(resolve,[$cnf( p4(b,a,a) )],[refute_0_129,prove_this]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.12/0.12 % Problem : SYN269-1 : TPTP v8.1.0. Released v1.1.0.
% 0.12/0.13 % Command : metis --show proof --show saturation %s
% 0.13/0.34 % Computer : n020.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % WCLimit : 600
% 0.13/0.34 % DateTime : Tue Jul 12 04:05:57 EDT 2022
% 0.13/0.35 % CPUTime :
% 0.13/0.35 %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
% 0.43/0.59 % SZS status Unsatisfiable for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.43/0.59
% 0.43/0.59 % SZS output start CNFRefutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% See solution above
% 0.43/0.60
%------------------------------------------------------------------------------