TSTP Solution File: SYN353-1 by Metis---2.4
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Metis---2.4
% Problem : SYN353-1 : TPTP v8.1.0. Released v1.2.0.
% Transfm : none
% Format : tptp:raw
% Command : metis --show proof --show saturation %s
% Computer : n009.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 09:01:41 EDT 2022
% Result : Unsatisfiable 157.30s 157.51s
% Output : CNFRefutation 157.36s
% Verified :
% SZS Type : Refutation
% Derivation depth : 67
% Number of leaves : 14
% Syntax : Number of clauses : 140 ( 9 unt; 98 nHn; 72 RR)
% Number of literals : 394 ( 0 equ; 100 neg)
% Maximal clause size : 5 ( 2 avg)
% Maximal term depth : 5 ( 1 avg)
% Number of predicates : 2 ( 1 usr; 1 prp; 0-3 aty)
% Number of functors : 2 ( 2 usr; 1 con; 0-3 aty)
% Number of variables : 283 ( 7 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(clause1,negated_conjecture,
( ~ f(Y1,Y2,Y3)
| ~ f(a,a,z(Y1,Y2,Y3))
| f(Y2,Y3,Y1)
| f(Y3,Y1,Y2) ) ).
cnf(clause2,negated_conjecture,
( ~ f(Y3,Y1,Y2)
| f(Y1,Y2,Y3)
| ~ f(Y2,Y1,z(Y1,Y2,Y3)) ) ).
cnf(clause3,negated_conjecture,
( ~ f(Y3,Y1,Y2)
| f(Y2,Y3,Y1)
| ~ f(Y2,Y1,z(Y1,Y2,Y3)) ) ).
cnf(clause4,negated_conjecture,
( f(Y3,Y1,Y2)
| f(Y2,Y1,z(Y1,Y2,Y3)) ) ).
cnf(clause5,negated_conjecture,
( ~ f(Y1,Y2,Y3)
| ~ f(Y2,Y3,Y1)
| f(Y2,Y1,z(Y1,Y2,Y3)) ) ).
cnf(clause6,negated_conjecture,
( ~ f(Y2,Y3,Y1)
| f(Y1,Y2,Y3)
| ~ f(Y1,z(Y1,Y2,Y3),Y2) ) ).
cnf(clause7,negated_conjecture,
( ~ f(Y2,Y3,Y1)
| f(Y3,Y1,Y2)
| ~ f(Y1,z(Y1,Y2,Y3),Y2) ) ).
cnf(clause8,negated_conjecture,
( f(Y2,Y3,Y1)
| f(Y1,z(Y1,Y2,Y3),Y2) ) ).
cnf(clause9,negated_conjecture,
( ~ f(Y1,Y2,Y3)
| ~ f(Y3,Y1,Y2)
| f(Y1,z(Y1,Y2,Y3),Y2) ) ).
cnf(clause10,negated_conjecture,
( f(Y3,Y1,Y2)
| f(Y1,Y2,Y3)
| ~ f(z(Y1,Y2,Y3),Y2,Y1) ) ).
cnf(clause11,negated_conjecture,
( f(Y2,Y3,Y1)
| f(Y1,Y2,Y3)
| ~ f(z(Y1,Y2,Y3),Y2,Y1) ) ).
cnf(clause12,negated_conjecture,
( ~ f(Y3,Y1,Y2)
| ~ f(Y2,Y3,Y1)
| f(z(Y1,Y2,Y3),Y2,Y1) ) ).
cnf(clause13,negated_conjecture,
( ~ f(Y1,Y2,Y3)
| f(z(Y1,Y2,Y3),Y2,Y1) ) ).
cnf(clause17,negated_conjecture,
( ~ f(Y1,Y2,Y3)
| ~ f(Y2,Y3,Y1)
| ~ f(Y3,Y1,Y2)
| ~ f(z(Y1,Y2,Y3),z(Y1,Y2,Y3),z(Y1,Y2,Y3)) ) ).
cnf(refute_0_0,plain,
( ~ f(z(X_21911,X_21910,X_21909),X_21910,X_21911)
| f(X_21910,X_21909,X_21911)
| f(X_21911,X_21910,X_21909) ),
inference(subst,[],[clause11:[bind(Y1,$fot(X_21911)),bind(Y2,$fot(X_21910)),bind(Y3,$fot(X_21909))]]) ).
cnf(refute_0_1,plain,
( f(X_21907,X_21906,X_21908)
| f(X_21908,z(X_21908,X_21907,X_21906),X_21907) ),
inference(subst,[],[clause8:[bind(Y1,$fot(X_21908)),bind(Y2,$fot(X_21907)),bind(Y3,$fot(X_21906))]]) ).
cnf(refute_0_2,plain,
( ~ f(X_21895,z(X_21895,X_21896,z(X_21896,X_21895,X_21894)),X_21896)
| ~ f(X_21896,z(X_21896,X_21895,X_21894),X_21895)
| f(z(X_21896,X_21895,X_21894),X_21895,X_21896) ),
inference(subst,[],[clause7:[bind(Y1,$fot(X_21895)),bind(Y2,$fot(X_21896)),bind(Y3,$fot(z(X_21896,X_21895,X_21894)))]]) ).
cnf(refute_0_3,plain,
( f(Y3,X_9,X_8)
| f(X_8,X_9,z(X_9,X_8,Y3)) ),
inference(subst,[],[clause4:[bind(Y1,$fot(X_9)),bind(Y2,$fot(X_8))]]) ).
cnf(refute_0_4,plain,
( ~ f(X_8,X_9,z(X_9,X_8,Y3))
| f(z(X_8,X_9,z(X_9,X_8,Y3)),X_9,X_8) ),
inference(subst,[],[clause13:[bind(Y1,$fot(X_8)),bind(Y2,$fot(X_9)),bind(Y3,$fot(z(X_9,X_8,Y3)))]]) ).
cnf(refute_0_5,plain,
( f(Y3,X_9,X_8)
| f(z(X_8,X_9,z(X_9,X_8,Y3)),X_9,X_8) ),
inference(resolve,[$cnf( f(X_8,X_9,z(X_9,X_8,Y3)) )],[refute_0_3,refute_0_4]) ).
cnf(refute_0_6,plain,
( f(X_21891,X_21893,X_21892)
| f(z(X_21892,X_21893,z(X_21893,X_21892,X_21891)),X_21893,X_21892) ),
inference(subst,[],[refute_0_5:[bind(Y3,$fot(X_21891)),bind(X_8,$fot(X_21892)),bind(X_9,$fot(X_21893))]]) ).
cnf(refute_0_7,plain,
( ~ f(X_21871,X_21872,z(X_21872,X_21871,z(X_21871,X_21872,z(X_21872,X_21871,X_21870))))
| ~ f(z(X_21871,X_21872,z(X_21872,X_21871,X_21870)),X_21872,X_21871)
| f(X_21871,z(X_21871,X_21872,z(X_21872,X_21871,X_21870)),X_21872) ),
inference(subst,[],[clause3:[bind(Y1,$fot(X_21872)),bind(Y2,$fot(X_21871)),bind(Y3,$fot(z(X_21871,X_21872,z(X_21872,X_21871,X_21870))))]]) ).
cnf(refute_0_8,plain,
( ~ f(X_121,X_120,z(X_120,X_121,z(X_121,X_120,X_119)))
| f(z(X_121,X_120,z(X_120,X_121,z(X_121,X_120,X_119))),X_120,X_121) ),
inference(subst,[],[clause13:[bind(Y1,$fot(X_121)),bind(Y2,$fot(X_120)),bind(Y3,$fot(z(X_120,X_121,z(X_121,X_120,X_119))))]]) ).
cnf(refute_0_9,plain,
( f(X_117,X_116,X_118)
| f(X_118,z(X_118,X_117,X_116),X_117) ),
inference(subst,[],[clause8:[bind(Y1,$fot(X_118)),bind(Y2,$fot(X_117)),bind(Y3,$fot(X_116))]]) ).
cnf(refute_0_10,plain,
( f(Y3,X_33,X_32)
| f(X_32,X_33,z(X_33,X_32,Y3)) ),
inference(subst,[],[clause4:[bind(Y1,$fot(X_33)),bind(Y2,$fot(X_32))]]) ).
cnf(refute_0_11,plain,
( ~ f(X_32,X_33,z(X_33,X_32,Y3))
| ~ f(X_33,z(X_33,X_32,Y3),X_32)
| f(X_33,X_32,z(X_32,X_33,z(X_33,X_32,Y3))) ),
inference(subst,[],[clause5:[bind(Y1,$fot(X_32)),bind(Y2,$fot(X_33)),bind(Y3,$fot(z(X_33,X_32,Y3)))]]) ).
cnf(refute_0_12,plain,
( ~ f(X_33,z(X_33,X_32,Y3),X_32)
| f(Y3,X_33,X_32)
| f(X_33,X_32,z(X_32,X_33,z(X_33,X_32,Y3))) ),
inference(resolve,[$cnf( f(X_32,X_33,z(X_33,X_32,Y3)) )],[refute_0_10,refute_0_11]) ).
cnf(refute_0_13,plain,
( ~ f(X_118,z(X_118,X_117,X_116),X_117)
| f(X_116,X_118,X_117)
| f(X_118,X_117,z(X_117,X_118,z(X_118,X_117,X_116))) ),
inference(subst,[],[refute_0_12:[bind(Y3,$fot(X_116)),bind(X_32,$fot(X_117)),bind(X_33,$fot(X_118))]]) ).
cnf(refute_0_14,plain,
( f(X_116,X_118,X_117)
| f(X_117,X_116,X_118)
| f(X_118,X_117,z(X_117,X_118,z(X_118,X_117,X_116))) ),
inference(resolve,[$cnf( f(X_118,z(X_118,X_117,X_116),X_117) )],[refute_0_9,refute_0_13]) ).
cnf(refute_0_15,plain,
( f(X_119,X_121,X_120)
| f(X_120,X_119,X_121)
| f(X_121,X_120,z(X_120,X_121,z(X_121,X_120,X_119))) ),
inference(subst,[],[refute_0_14:[bind(X_116,$fot(X_119)),bind(X_117,$fot(X_120)),bind(X_118,$fot(X_121))]]) ).
cnf(refute_0_16,plain,
( f(X_119,X_121,X_120)
| f(X_120,X_119,X_121)
| f(z(X_121,X_120,z(X_120,X_121,z(X_121,X_120,X_119))),X_120,X_121) ),
inference(resolve,[$cnf( f(X_121,X_120,z(X_120,X_121,z(X_121,X_120,X_119))) )],[refute_0_15,refute_0_8]) ).
cnf(refute_0_17,plain,
( f(X_21867,X_21869,X_21868)
| f(X_21868,X_21867,X_21869)
| f(z(X_21869,X_21868,z(X_21868,X_21869,z(X_21869,X_21868,X_21867))),X_21868,X_21869) ),
inference(subst,[],[refute_0_16:[bind(X_119,$fot(X_21867)),bind(X_120,$fot(X_21868)),bind(X_121,$fot(X_21869))]]) ).
cnf(refute_0_18,plain,
( ~ f(X_21866,X_21865,z(X_21865,X_21866,z(X_21866,X_21865,z(X_21865,X_21866,z(X_21866,X_21865,X_21864)))))
| ~ f(z(X_21866,X_21865,z(X_21865,X_21866,z(X_21866,X_21865,X_21864))),X_21865,X_21866)
| f(X_21865,X_21866,z(X_21866,X_21865,z(X_21865,X_21866,z(X_21866,X_21865,X_21864)))) ),
inference(subst,[],[clause2:[bind(Y1,$fot(X_21865)),bind(Y2,$fot(X_21866)),bind(Y3,$fot(z(X_21866,X_21865,z(X_21865,X_21866,z(X_21866,X_21865,X_21864)))))]]) ).
cnf(refute_0_19,plain,
( f(X_132,X_133,X_134)
| f(X_133,X_134,z(X_134,X_133,z(X_133,X_134,X_132)))
| f(X_134,X_132,X_133) ),
inference(subst,[],[refute_0_14:[bind(X_116,$fot(X_132)),bind(X_117,$fot(X_134)),bind(X_118,$fot(X_133))]]) ).
cnf(refute_0_20,plain,
( f(Y3,X_41,X_42)
| f(z(X_42,X_41,z(X_41,X_42,Y3)),X_41,X_42) ),
inference(subst,[],[refute_0_5:[bind(X_8,$fot(X_42)),bind(X_9,$fot(X_41))]]) ).
cnf(refute_0_21,plain,
( ~ f(X_41,X_42,z(X_42,X_41,z(X_41,X_42,Y3)))
| ~ f(z(X_42,X_41,z(X_41,X_42,Y3)),X_41,X_42)
| f(X_41,z(X_41,X_42,z(X_42,X_41,z(X_41,X_42,Y3))),X_42) ),
inference(subst,[],[clause9:[bind(Y1,$fot(X_41)),bind(Y2,$fot(X_42)),bind(Y3,$fot(z(X_42,X_41,z(X_41,X_42,Y3))))]]) ).
cnf(refute_0_22,plain,
( ~ f(X_41,X_42,z(X_42,X_41,z(X_41,X_42,Y3)))
| f(Y3,X_41,X_42)
| f(X_41,z(X_41,X_42,z(X_42,X_41,z(X_41,X_42,Y3))),X_42) ),
inference(resolve,[$cnf( f(z(X_42,X_41,z(X_41,X_42,Y3)),X_41,X_42) )],[refute_0_20,refute_0_21]) ).
cnf(refute_0_23,plain,
( ~ f(X_133,X_134,z(X_134,X_133,z(X_133,X_134,X_132)))
| f(X_132,X_133,X_134)
| f(X_133,z(X_133,X_134,z(X_134,X_133,z(X_133,X_134,X_132))),X_134) ),
inference(subst,[],[refute_0_22:[bind(Y3,$fot(X_132)),bind(X_41,$fot(X_133)),bind(X_42,$fot(X_134))]]) ).
cnf(refute_0_24,plain,
( f(X_132,X_133,X_134)
| f(X_133,z(X_133,X_134,z(X_134,X_133,z(X_133,X_134,X_132))),X_134)
| f(X_134,X_132,X_133) ),
inference(resolve,[$cnf( f(X_133,X_134,z(X_134,X_133,z(X_133,X_134,X_132))) )],[refute_0_19,refute_0_23]) ).
cnf(refute_0_25,plain,
( f(X_21861,X_21863,X_21862)
| f(X_21862,X_21861,X_21863)
| f(X_21863,z(X_21863,X_21862,z(X_21862,X_21863,z(X_21863,X_21862,X_21861))),X_21862) ),
inference(subst,[],[refute_0_24:[bind(X_132,$fot(X_21861)),bind(X_133,$fot(X_21863)),bind(X_134,$fot(X_21862))]]) ).
cnf(refute_0_26,plain,
( ~ f(X_6549,z(X_6549,X_6550,z(X_6550,X_6549,z(X_6549,X_6550,z(X_6550,X_6549,X_6548)))),X_6550)
| ~ f(X_6550,z(X_6550,X_6549,z(X_6549,X_6550,z(X_6550,X_6549,X_6548))),X_6549)
| f(X_6549,X_6550,z(X_6550,X_6549,z(X_6549,X_6550,z(X_6550,X_6549,X_6548)))) ),
inference(subst,[],[clause6:[bind(Y1,$fot(X_6549)),bind(Y2,$fot(X_6550)),bind(Y3,$fot(z(X_6550,X_6549,z(X_6549,X_6550,z(X_6550,X_6549,X_6548)))))]]) ).
cnf(refute_0_27,plain,
( ~ f(a,Y3,a)
| ~ f(a,z(a,a,Y3),a)
| f(a,a,Y3) ),
inference(subst,[],[clause6:[bind(Y1,$fot(a)),bind(Y2,$fot(a))]]) ).
cnf(refute_0_28,plain,
( ~ f(X_297,a,a)
| ~ f(a,a,z(a,a,X_297))
| f(a,X_297,a) ),
inference(subst,[],[clause3:[bind(Y1,$fot(a)),bind(Y2,$fot(a)),bind(Y3,$fot(X_297))]]) ).
cnf(refute_0_29,plain,
( f(a,Y3,a)
| f(a,z(a,a,Y3),a) ),
inference(subst,[],[clause8:[bind(Y1,$fot(a)),bind(Y2,$fot(a))]]) ).
cnf(refute_0_30,plain,
( ~ f(a,X_91,a)
| ~ f(a,z(a,a,X_91),a)
| f(X_91,a,a) ),
inference(subst,[],[clause7:[bind(Y1,$fot(a)),bind(Y2,$fot(a)),bind(Y3,$fot(X_91))]]) ).
cnf(refute_0_31,plain,
( ~ f(z(a,a,X_90),a,a)
| f(X_90,a,a)
| f(a,a,X_90) ),
inference(subst,[],[clause10:[bind(Y1,$fot(a)),bind(Y2,$fot(a)),bind(Y3,$fot(X_90))]]) ).
cnf(refute_0_32,plain,
( f(Y3,a,a)
| f(a,a,z(a,a,Y3)) ),
inference(subst,[],[clause4:[bind(Y1,$fot(a)),bind(Y2,$fot(a))]]) ).
cnf(refute_0_33,plain,
( f(X_88,a,a)
| f(a,a,z(a,a,X_88)) ),
inference(subst,[],[clause4:[bind(Y1,$fot(a)),bind(Y2,$fot(a)),bind(Y3,$fot(X_88))]]) ).
cnf(refute_0_34,plain,
( ~ f(a,a,X_88)
| ~ f(a,a,z(a,a,X_88))
| f(X_88,a,a)
| f(a,X_88,a) ),
inference(subst,[],[clause1:[bind(Y1,$fot(a)),bind(Y2,$fot(a)),bind(Y3,$fot(X_88))]]) ).
cnf(refute_0_35,plain,
( ~ f(a,a,X_88)
| f(X_88,a,a)
| f(a,X_88,a) ),
inference(resolve,[$cnf( f(a,a,z(a,a,X_88)) )],[refute_0_33,refute_0_34]) ).
cnf(refute_0_36,plain,
( ~ f(a,a,z(a,a,Y3))
| f(a,z(a,a,Y3),a)
| f(z(a,a,Y3),a,a) ),
inference(subst,[],[refute_0_35:[bind(X_88,$fot(z(a,a,Y3)))]]) ).
cnf(refute_0_37,plain,
( f(Y3,a,a)
| f(a,z(a,a,Y3),a)
| f(z(a,a,Y3),a,a) ),
inference(resolve,[$cnf( f(a,a,z(a,a,Y3)) )],[refute_0_32,refute_0_36]) ).
cnf(refute_0_38,plain,
( f(X_90,a,a)
| f(a,z(a,a,X_90),a)
| f(z(a,a,X_90),a,a) ),
inference(subst,[],[refute_0_37:[bind(Y3,$fot(X_90))]]) ).
cnf(refute_0_39,plain,
( f(X_90,a,a)
| f(a,a,X_90)
| f(a,z(a,a,X_90),a) ),
inference(resolve,[$cnf( f(z(a,a,X_90),a,a) )],[refute_0_38,refute_0_31]) ).
cnf(refute_0_40,plain,
( f(X_91,a,a)
| f(a,a,X_91)
| f(a,z(a,a,X_91),a) ),
inference(subst,[],[refute_0_39:[bind(X_90,$fot(X_91))]]) ).
cnf(refute_0_41,plain,
( ~ f(a,X_91,a)
| f(X_91,a,a)
| f(a,a,X_91) ),
inference(resolve,[$cnf( f(a,z(a,a,X_91),a) )],[refute_0_40,refute_0_30]) ).
cnf(refute_0_42,plain,
( ~ f(a,z(a,a,Y3),a)
| f(a,a,z(a,a,Y3))
| f(z(a,a,Y3),a,a) ),
inference(subst,[],[refute_0_41:[bind(X_91,$fot(z(a,a,Y3)))]]) ).
cnf(refute_0_43,plain,
( f(a,Y3,a)
| f(a,a,z(a,a,Y3))
| f(z(a,a,Y3),a,a) ),
inference(resolve,[$cnf( f(a,z(a,a,Y3),a) )],[refute_0_29,refute_0_42]) ).
cnf(refute_0_44,plain,
( f(a,X_296,a)
| f(a,a,z(a,a,X_296))
| f(z(a,a,X_296),a,a) ),
inference(subst,[],[refute_0_43:[bind(Y3,$fot(X_296))]]) ).
cnf(refute_0_45,plain,
( ~ f(a,a,z(a,a,z(a,a,X_295)))
| ~ f(z(a,a,X_295),a,a)
| f(a,a,z(a,a,X_295)) ),
inference(subst,[],[clause2:[bind(Y1,$fot(a)),bind(Y2,$fot(a)),bind(Y3,$fot(z(a,a,X_295)))]]) ).
cnf(refute_0_46,plain,
( f(a,X_294,a)
| f(a,z(a,a,X_294),a) ),
inference(subst,[],[clause8:[bind(Y1,$fot(a)),bind(Y2,$fot(a)),bind(Y3,$fot(X_294))]]) ).
cnf(refute_0_47,plain,
( ~ f(a,z(a,a,X_278),a)
| ~ f(a,z(a,a,z(a,a,X_278)),a)
| f(a,a,z(a,a,X_278)) ),
inference(subst,[],[clause6:[bind(Y1,$fot(a)),bind(Y2,$fot(a)),bind(Y3,$fot(z(a,a,X_278)))]]) ).
cnf(refute_0_48,plain,
( ~ f(X_95,a,a)
| ~ f(a,a,z(a,a,X_95))
| f(a,X_95,a) ),
inference(subst,[],[clause3:[bind(Y1,$fot(a)),bind(Y2,$fot(a)),bind(Y3,$fot(X_95))]]) ).
cnf(refute_0_49,plain,
( ~ f(z(a,a,X_94),a,a)
| f(a,X_94,a)
| f(a,a,X_94) ),
inference(subst,[],[clause11:[bind(Y1,$fot(a)),bind(Y2,$fot(a)),bind(Y3,$fot(X_94))]]) ).
cnf(refute_0_50,plain,
( f(a,X_94,a)
| f(a,a,z(a,a,X_94))
| f(z(a,a,X_94),a,a) ),
inference(subst,[],[refute_0_43:[bind(Y3,$fot(X_94))]]) ).
cnf(refute_0_51,plain,
( f(a,X_94,a)
| f(a,a,X_94)
| f(a,a,z(a,a,X_94)) ),
inference(resolve,[$cnf( f(z(a,a,X_94),a,a) )],[refute_0_50,refute_0_49]) ).
cnf(refute_0_52,plain,
( f(a,X_95,a)
| f(a,a,X_95)
| f(a,a,z(a,a,X_95)) ),
inference(subst,[],[refute_0_51:[bind(X_94,$fot(X_95))]]) ).
cnf(refute_0_53,plain,
( ~ f(X_95,a,a)
| f(a,X_95,a)
| f(a,a,X_95) ),
inference(resolve,[$cnf( f(a,a,z(a,a,X_95)) )],[refute_0_52,refute_0_48]) ).
cnf(refute_0_54,plain,
( ~ f(z(a,a,z(a,a,X_173)),a,a)
| f(a,a,z(a,a,z(a,a,X_173)))
| f(a,z(a,a,z(a,a,X_173)),a) ),
inference(subst,[],[refute_0_53:[bind(X_95,$fot(z(a,a,z(a,a,X_173))))]]) ).
cnf(refute_0_55,plain,
( f(a,X_172,a)
| f(a,z(a,a,X_172),a) ),
inference(subst,[],[clause8:[bind(Y1,$fot(a)),bind(Y2,$fot(a)),bind(Y3,$fot(X_172))]]) ).
cnf(refute_0_56,plain,
( ~ f(a,z(a,a,X_94),a)
| ~ f(z(a,a,X_94),a,a)
| f(z(a,a,z(a,a,X_94)),a,a) ),
inference(subst,[],[clause12:[bind(Y1,$fot(a)),bind(Y2,$fot(a)),bind(Y3,$fot(z(a,a,X_94)))]]) ).
cnf(refute_0_57,plain,
( ~ f(a,z(a,a,X_94),a)
| f(a,X_94,a)
| f(a,a,z(a,a,X_94))
| f(z(a,a,z(a,a,X_94)),a,a) ),
inference(resolve,[$cnf( f(z(a,a,X_94),a,a) )],[refute_0_50,refute_0_56]) ).
cnf(refute_0_58,plain,
( ~ f(a,z(a,a,X_172),a)
| f(a,X_172,a)
| f(a,a,z(a,a,X_172))
| f(z(a,a,z(a,a,X_172)),a,a) ),
inference(subst,[],[refute_0_57:[bind(X_94,$fot(X_172))]]) ).
cnf(refute_0_59,plain,
( f(a,X_172,a)
| f(a,a,z(a,a,X_172))
| f(z(a,a,z(a,a,X_172)),a,a) ),
inference(resolve,[$cnf( f(a,z(a,a,X_172),a) )],[refute_0_55,refute_0_58]) ).
cnf(refute_0_60,plain,
( f(a,X_173,a)
| f(a,a,z(a,a,X_173))
| f(z(a,a,z(a,a,X_173)),a,a) ),
inference(subst,[],[refute_0_59:[bind(X_172,$fot(X_173))]]) ).
cnf(refute_0_61,plain,
( f(a,X_173,a)
| f(a,a,z(a,a,X_173))
| f(a,a,z(a,a,z(a,a,X_173)))
| f(a,z(a,a,z(a,a,X_173)),a) ),
inference(resolve,[$cnf( f(z(a,a,z(a,a,X_173)),a,a) )],[refute_0_60,refute_0_54]) ).
cnf(refute_0_62,plain,
( f(a,X_278,a)
| f(a,a,z(a,a,X_278))
| f(a,a,z(a,a,z(a,a,X_278)))
| f(a,z(a,a,z(a,a,X_278)),a) ),
inference(subst,[],[refute_0_61:[bind(X_173,$fot(X_278))]]) ).
cnf(refute_0_63,plain,
( ~ f(a,z(a,a,X_278),a)
| f(a,X_278,a)
| f(a,a,z(a,a,X_278))
| f(a,a,z(a,a,z(a,a,X_278))) ),
inference(resolve,[$cnf( f(a,z(a,a,z(a,a,X_278)),a) )],[refute_0_62,refute_0_47]) ).
cnf(refute_0_64,plain,
( ~ f(a,z(a,a,X_294),a)
| f(a,X_294,a)
| f(a,a,z(a,a,X_294))
| f(a,a,z(a,a,z(a,a,X_294))) ),
inference(subst,[],[refute_0_63:[bind(X_278,$fot(X_294))]]) ).
cnf(refute_0_65,plain,
( f(a,X_294,a)
| f(a,a,z(a,a,X_294))
| f(a,a,z(a,a,z(a,a,X_294))) ),
inference(resolve,[$cnf( f(a,z(a,a,X_294),a) )],[refute_0_46,refute_0_64]) ).
cnf(refute_0_66,plain,
( f(a,X_295,a)
| f(a,a,z(a,a,X_295))
| f(a,a,z(a,a,z(a,a,X_295))) ),
inference(subst,[],[refute_0_65:[bind(X_294,$fot(X_295))]]) ).
cnf(refute_0_67,plain,
( ~ f(z(a,a,X_295),a,a)
| f(a,X_295,a)
| f(a,a,z(a,a,X_295)) ),
inference(resolve,[$cnf( f(a,a,z(a,a,z(a,a,X_295))) )],[refute_0_66,refute_0_45]) ).
cnf(refute_0_68,plain,
( ~ f(z(a,a,X_296),a,a)
| f(a,X_296,a)
| f(a,a,z(a,a,X_296)) ),
inference(subst,[],[refute_0_67:[bind(X_295,$fot(X_296))]]) ).
cnf(refute_0_69,plain,
( f(a,X_296,a)
| f(a,a,z(a,a,X_296)) ),
inference(resolve,[$cnf( f(z(a,a,X_296),a,a) )],[refute_0_44,refute_0_68]) ).
cnf(refute_0_70,plain,
( f(a,X_297,a)
| f(a,a,z(a,a,X_297)) ),
inference(subst,[],[refute_0_69:[bind(X_296,$fot(X_297))]]) ).
cnf(refute_0_71,plain,
( ~ f(X_297,a,a)
| f(a,X_297,a) ),
inference(resolve,[$cnf( f(a,a,z(a,a,X_297)) )],[refute_0_70,refute_0_28]) ).
cnf(refute_0_72,plain,
( ~ f(X_306,a,a)
| f(a,X_306,a) ),
inference(subst,[],[refute_0_71:[bind(X_297,$fot(X_306))]]) ).
cnf(refute_0_73,plain,
( ~ f(a,a,X_304)
| f(X_304,a,a)
| f(a,X_304,a) ),
inference(subst,[],[refute_0_35:[bind(X_88,$fot(X_304))]]) ).
cnf(refute_0_74,plain,
( ~ f(z(a,a,X_303),a,a)
| f(a,X_303,a)
| f(a,a,X_303) ),
inference(subst,[],[clause11:[bind(Y1,$fot(a)),bind(Y2,$fot(a)),bind(Y3,$fot(X_303))]]) ).
cnf(refute_0_75,plain,
( ~ f(a,X_299,a)
| ~ f(a,z(a,a,X_299),a)
| f(X_299,a,a) ),
inference(subst,[],[clause7:[bind(Y1,$fot(a)),bind(Y2,$fot(a)),bind(Y3,$fot(X_299))]]) ).
cnf(refute_0_76,plain,
( ~ f(z(a,a,Y3),a,a)
| f(a,z(a,a,Y3),a) ),
inference(subst,[],[refute_0_71:[bind(X_297,$fot(z(a,a,Y3)))]]) ).
cnf(refute_0_77,plain,
( f(Y3,a,a)
| f(a,z(a,a,Y3),a) ),
inference(resolve,[$cnf( f(z(a,a,Y3),a,a) )],[refute_0_37,refute_0_76]) ).
cnf(refute_0_78,plain,
( f(X_299,a,a)
| f(a,z(a,a,X_299),a) ),
inference(subst,[],[refute_0_77:[bind(Y3,$fot(X_299))]]) ).
cnf(refute_0_79,plain,
( ~ f(a,X_299,a)
| f(X_299,a,a) ),
inference(resolve,[$cnf( f(a,z(a,a,X_299),a) )],[refute_0_78,refute_0_75]) ).
cnf(refute_0_80,plain,
( ~ f(a,z(a,a,Y3),a)
| f(z(a,a,Y3),a,a) ),
inference(subst,[],[refute_0_79:[bind(X_299,$fot(z(a,a,Y3)))]]) ).
cnf(refute_0_81,plain,
( f(a,Y3,a)
| f(z(a,a,Y3),a,a) ),
inference(resolve,[$cnf( f(a,z(a,a,Y3),a) )],[refute_0_29,refute_0_80]) ).
cnf(refute_0_82,plain,
( f(a,X_303,a)
| f(z(a,a,X_303),a,a) ),
inference(subst,[],[refute_0_81:[bind(Y3,$fot(X_303))]]) ).
cnf(refute_0_83,plain,
( f(a,X_303,a)
| f(a,a,X_303) ),
inference(resolve,[$cnf( f(z(a,a,X_303),a,a) )],[refute_0_82,refute_0_74]) ).
cnf(refute_0_84,plain,
( f(a,X_304,a)
| f(a,a,X_304) ),
inference(subst,[],[refute_0_83:[bind(X_303,$fot(X_304))]]) ).
cnf(refute_0_85,plain,
( f(X_304,a,a)
| f(a,X_304,a) ),
inference(resolve,[$cnf( f(a,a,X_304) )],[refute_0_84,refute_0_73]) ).
cnf(refute_0_86,plain,
( f(X_306,a,a)
| f(a,X_306,a) ),
inference(subst,[],[refute_0_85:[bind(X_304,$fot(X_306))]]) ).
cnf(refute_0_87,plain,
f(a,X_306,a),
inference(resolve,[$cnf( f(X_306,a,a) )],[refute_0_86,refute_0_72]) ).
cnf(refute_0_88,plain,
f(a,z(a,a,Y3),a),
inference(subst,[],[refute_0_87:[bind(X_306,$fot(z(a,a,Y3)))]]) ).
cnf(refute_0_89,plain,
( ~ f(a,Y3,a)
| f(a,a,Y3) ),
inference(resolve,[$cnf( f(a,z(a,a,Y3),a) )],[refute_0_88,refute_0_27]) ).
cnf(refute_0_90,plain,
f(a,Y3,a),
inference(subst,[],[refute_0_87:[bind(X_306,$fot(Y3))]]) ).
cnf(refute_0_91,plain,
f(a,a,Y3),
inference(resolve,[$cnf( f(a,Y3,a) )],[refute_0_90,refute_0_89]) ).
cnf(refute_0_92,plain,
f(a,a,z(Y1,Y2,Y3)),
inference(subst,[],[refute_0_91:[bind(Y3,$fot(z(Y1,Y2,Y3)))]]) ).
cnf(refute_0_93,plain,
( ~ f(Y1,Y2,Y3)
| f(Y2,Y3,Y1)
| f(Y3,Y1,Y2) ),
inference(resolve,[$cnf( f(a,a,z(Y1,Y2,Y3)) )],[refute_0_92,clause1]) ).
cnf(refute_0_94,plain,
( ~ f(z(X_3682,X_3683,z(X_3683,X_3682,z(X_3682,X_3683,z(X_3683,X_3682,X_3681)))),X_3683,X_3682)
| f(X_3682,z(X_3682,X_3683,z(X_3683,X_3682,z(X_3682,X_3683,z(X_3683,X_3682,X_3681)))),X_3683)
| f(X_3683,X_3682,z(X_3682,X_3683,z(X_3683,X_3682,z(X_3682,X_3683,z(X_3683,X_3682,X_3681))))) ),
inference(subst,[],[refute_0_93:[bind(Y1,$fot(z(X_3682,X_3683,z(X_3683,X_3682,z(X_3682,X_3683,z(X_3683,X_3682,X_3681)))))),bind(Y2,$fot(X_3683)),bind(Y3,$fot(X_3682))]]) ).
cnf(refute_0_95,plain,
( f(X_3678,X_3680,X_3679)
| f(X_3679,X_3678,X_3680)
| f(X_3680,z(X_3680,X_3679,z(X_3679,X_3680,z(X_3680,X_3679,X_3678))),X_3679) ),
inference(subst,[],[refute_0_24:[bind(X_132,$fot(X_3678)),bind(X_133,$fot(X_3680)),bind(X_134,$fot(X_3679))]]) ).
cnf(refute_0_96,plain,
( ~ f(X_180,z(X_180,X_179,z(X_179,X_180,z(X_180,X_179,X_178))),X_179)
| ~ f(z(X_180,X_179,z(X_179,X_180,z(X_180,X_179,X_178))),X_179,X_180)
| f(z(X_179,X_180,z(X_180,X_179,z(X_179,X_180,z(X_180,X_179,X_178)))),X_180,X_179) ),
inference(subst,[],[clause12:[bind(Y1,$fot(X_179)),bind(Y2,$fot(X_180)),bind(Y3,$fot(z(X_180,X_179,z(X_179,X_180,z(X_180,X_179,X_178)))))]]) ).
cnf(refute_0_97,plain,
( f(X_178,X_180,X_179)
| f(X_179,X_178,X_180)
| f(z(X_180,X_179,z(X_179,X_180,z(X_180,X_179,X_178))),X_179,X_180) ),
inference(subst,[],[refute_0_16:[bind(X_119,$fot(X_178)),bind(X_120,$fot(X_179)),bind(X_121,$fot(X_180))]]) ).
cnf(refute_0_98,plain,
( ~ f(X_180,z(X_180,X_179,z(X_179,X_180,z(X_180,X_179,X_178))),X_179)
| f(X_178,X_180,X_179)
| f(X_179,X_178,X_180)
| f(z(X_179,X_180,z(X_180,X_179,z(X_179,X_180,z(X_180,X_179,X_178)))),X_180,X_179) ),
inference(resolve,[$cnf( f(z(X_180,X_179,z(X_179,X_180,z(X_180,X_179,X_178))),X_179,X_180) )],[refute_0_97,refute_0_96]) ).
cnf(refute_0_99,plain,
( ~ f(X_3680,z(X_3680,X_3679,z(X_3679,X_3680,z(X_3680,X_3679,X_3678))),X_3679)
| f(X_3678,X_3680,X_3679)
| f(X_3679,X_3678,X_3680)
| f(z(X_3679,X_3680,z(X_3680,X_3679,z(X_3679,X_3680,z(X_3680,X_3679,X_3678)))),X_3680,X_3679) ),
inference(subst,[],[refute_0_98:[bind(X_178,$fot(X_3678)),bind(X_179,$fot(X_3679)),bind(X_180,$fot(X_3680))]]) ).
cnf(refute_0_100,plain,
( f(X_3678,X_3680,X_3679)
| f(X_3679,X_3678,X_3680)
| f(z(X_3679,X_3680,z(X_3680,X_3679,z(X_3679,X_3680,z(X_3680,X_3679,X_3678)))),X_3680,X_3679) ),
inference(resolve,[$cnf( f(X_3680,z(X_3680,X_3679,z(X_3679,X_3680,z(X_3680,X_3679,X_3678))),X_3679) )],[refute_0_95,refute_0_99]) ).
cnf(refute_0_101,plain,
( f(X_3681,X_3683,X_3682)
| f(X_3682,X_3681,X_3683)
| f(z(X_3682,X_3683,z(X_3683,X_3682,z(X_3682,X_3683,z(X_3683,X_3682,X_3681)))),X_3683,X_3682) ),
inference(subst,[],[refute_0_100:[bind(X_3678,$fot(X_3681)),bind(X_3679,$fot(X_3682)),bind(X_3680,$fot(X_3683))]]) ).
cnf(refute_0_102,plain,
( f(X_3681,X_3683,X_3682)
| f(X_3682,X_3681,X_3683)
| f(X_3682,z(X_3682,X_3683,z(X_3683,X_3682,z(X_3682,X_3683,z(X_3683,X_3682,X_3681)))),X_3683)
| f(X_3683,X_3682,z(X_3682,X_3683,z(X_3683,X_3682,z(X_3682,X_3683,z(X_3683,X_3682,X_3681))))) ),
inference(resolve,[$cnf( f(z(X_3682,X_3683,z(X_3683,X_3682,z(X_3682,X_3683,z(X_3683,X_3682,X_3681)))),X_3683,X_3682) )],[refute_0_101,refute_0_94]) ).
cnf(refute_0_103,plain,
( f(X_6548,X_6550,X_6549)
| f(X_6549,X_6548,X_6550)
| f(X_6549,z(X_6549,X_6550,z(X_6550,X_6549,z(X_6549,X_6550,z(X_6550,X_6549,X_6548)))),X_6550)
| f(X_6550,X_6549,z(X_6549,X_6550,z(X_6550,X_6549,z(X_6549,X_6550,z(X_6550,X_6549,X_6548))))) ),
inference(subst,[],[refute_0_102:[bind(X_3681,$fot(X_6548)),bind(X_3682,$fot(X_6549)),bind(X_3683,$fot(X_6550))]]) ).
cnf(refute_0_104,plain,
( ~ f(X_6550,z(X_6550,X_6549,z(X_6549,X_6550,z(X_6550,X_6549,X_6548))),X_6549)
| f(X_6548,X_6550,X_6549)
| f(X_6549,X_6548,X_6550)
| f(X_6549,X_6550,z(X_6550,X_6549,z(X_6549,X_6550,z(X_6550,X_6549,X_6548))))
| f(X_6550,X_6549,z(X_6549,X_6550,z(X_6550,X_6549,z(X_6549,X_6550,z(X_6550,X_6549,X_6548))))) ),
inference(resolve,[$cnf( f(X_6549,z(X_6549,X_6550,z(X_6550,X_6549,z(X_6549,X_6550,z(X_6550,X_6549,X_6548)))),X_6550) )],[refute_0_103,refute_0_26]) ).
cnf(refute_0_105,plain,
( ~ f(X_21863,z(X_21863,X_21862,z(X_21862,X_21863,z(X_21863,X_21862,X_21861))),X_21862)
| f(X_21861,X_21863,X_21862)
| f(X_21862,X_21861,X_21863)
| f(X_21862,X_21863,z(X_21863,X_21862,z(X_21862,X_21863,z(X_21863,X_21862,X_21861))))
| f(X_21863,X_21862,z(X_21862,X_21863,z(X_21863,X_21862,z(X_21862,X_21863,z(X_21863,X_21862,X_21861))))) ),
inference(subst,[],[refute_0_104:[bind(X_6548,$fot(X_21861)),bind(X_6549,$fot(X_21862)),bind(X_6550,$fot(X_21863))]]) ).
cnf(refute_0_106,plain,
( f(X_21861,X_21863,X_21862)
| f(X_21862,X_21861,X_21863)
| f(X_21862,X_21863,z(X_21863,X_21862,z(X_21862,X_21863,z(X_21863,X_21862,X_21861))))
| f(X_21863,X_21862,z(X_21862,X_21863,z(X_21863,X_21862,z(X_21862,X_21863,z(X_21863,X_21862,X_21861))))) ),
inference(resolve,[$cnf( f(X_21863,z(X_21863,X_21862,z(X_21862,X_21863,z(X_21863,X_21862,X_21861))),X_21862) )],[refute_0_25,refute_0_105]) ).
cnf(refute_0_107,plain,
( f(X_21864,X_21866,X_21865)
| f(X_21865,X_21864,X_21866)
| f(X_21865,X_21866,z(X_21866,X_21865,z(X_21865,X_21866,z(X_21866,X_21865,X_21864))))
| f(X_21866,X_21865,z(X_21865,X_21866,z(X_21866,X_21865,z(X_21865,X_21866,z(X_21866,X_21865,X_21864))))) ),
inference(subst,[],[refute_0_106:[bind(X_21861,$fot(X_21864)),bind(X_21862,$fot(X_21865)),bind(X_21863,$fot(X_21866))]]) ).
cnf(refute_0_108,plain,
( ~ f(z(X_21866,X_21865,z(X_21865,X_21866,z(X_21866,X_21865,X_21864))),X_21865,X_21866)
| f(X_21864,X_21866,X_21865)
| f(X_21865,X_21864,X_21866)
| f(X_21865,X_21866,z(X_21866,X_21865,z(X_21865,X_21866,z(X_21866,X_21865,X_21864)))) ),
inference(resolve,[$cnf( f(X_21866,X_21865,z(X_21865,X_21866,z(X_21866,X_21865,z(X_21865,X_21866,z(X_21866,X_21865,X_21864))))) )],[refute_0_107,refute_0_18]) ).
cnf(refute_0_109,plain,
( ~ f(z(X_21869,X_21868,z(X_21868,X_21869,z(X_21869,X_21868,X_21867))),X_21868,X_21869)
| f(X_21867,X_21869,X_21868)
| f(X_21868,X_21867,X_21869)
| f(X_21868,X_21869,z(X_21869,X_21868,z(X_21868,X_21869,z(X_21869,X_21868,X_21867)))) ),
inference(subst,[],[refute_0_108:[bind(X_21864,$fot(X_21867)),bind(X_21865,$fot(X_21868)),bind(X_21866,$fot(X_21869))]]) ).
cnf(refute_0_110,plain,
( f(X_21867,X_21869,X_21868)
| f(X_21868,X_21867,X_21869)
| f(X_21868,X_21869,z(X_21869,X_21868,z(X_21868,X_21869,z(X_21869,X_21868,X_21867)))) ),
inference(resolve,[$cnf( f(z(X_21869,X_21868,z(X_21868,X_21869,z(X_21869,X_21868,X_21867))),X_21868,X_21869) )],[refute_0_17,refute_0_109]) ).
cnf(refute_0_111,plain,
( f(X_21870,X_21872,X_21871)
| f(X_21871,X_21870,X_21872)
| f(X_21871,X_21872,z(X_21872,X_21871,z(X_21871,X_21872,z(X_21872,X_21871,X_21870)))) ),
inference(subst,[],[refute_0_110:[bind(X_21867,$fot(X_21870)),bind(X_21868,$fot(X_21871)),bind(X_21869,$fot(X_21872))]]) ).
cnf(refute_0_112,plain,
( ~ f(z(X_21871,X_21872,z(X_21872,X_21871,X_21870)),X_21872,X_21871)
| f(X_21870,X_21872,X_21871)
| f(X_21871,X_21870,X_21872)
| f(X_21871,z(X_21871,X_21872,z(X_21872,X_21871,X_21870)),X_21872) ),
inference(resolve,[$cnf( f(X_21871,X_21872,z(X_21872,X_21871,z(X_21871,X_21872,z(X_21872,X_21871,X_21870)))) )],[refute_0_111,refute_0_7]) ).
cnf(refute_0_113,plain,
( ~ f(z(X_21892,X_21893,z(X_21893,X_21892,X_21891)),X_21893,X_21892)
| f(X_21891,X_21893,X_21892)
| f(X_21892,X_21891,X_21893)
| f(X_21892,z(X_21892,X_21893,z(X_21893,X_21892,X_21891)),X_21893) ),
inference(subst,[],[refute_0_112:[bind(X_21870,$fot(X_21891)),bind(X_21871,$fot(X_21892)),bind(X_21872,$fot(X_21893))]]) ).
cnf(refute_0_114,plain,
( f(X_21891,X_21893,X_21892)
| f(X_21892,X_21891,X_21893)
| f(X_21892,z(X_21892,X_21893,z(X_21893,X_21892,X_21891)),X_21893) ),
inference(resolve,[$cnf( f(z(X_21892,X_21893,z(X_21893,X_21892,X_21891)),X_21893,X_21892) )],[refute_0_6,refute_0_113]) ).
cnf(refute_0_115,plain,
( f(X_21894,X_21896,X_21895)
| f(X_21895,X_21894,X_21896)
| f(X_21895,z(X_21895,X_21896,z(X_21896,X_21895,X_21894)),X_21896) ),
inference(subst,[],[refute_0_114:[bind(X_21891,$fot(X_21894)),bind(X_21892,$fot(X_21895)),bind(X_21893,$fot(X_21896))]]) ).
cnf(refute_0_116,plain,
( ~ f(X_21896,z(X_21896,X_21895,X_21894),X_21895)
| f(X_21894,X_21896,X_21895)
| f(X_21895,X_21894,X_21896)
| f(z(X_21896,X_21895,X_21894),X_21895,X_21896) ),
inference(resolve,[$cnf( f(X_21895,z(X_21895,X_21896,z(X_21896,X_21895,X_21894)),X_21896) )],[refute_0_115,refute_0_2]) ).
cnf(refute_0_117,plain,
( ~ f(X_21908,z(X_21908,X_21907,X_21906),X_21907)
| f(X_21906,X_21908,X_21907)
| f(X_21907,X_21906,X_21908)
| f(z(X_21908,X_21907,X_21906),X_21907,X_21908) ),
inference(subst,[],[refute_0_116:[bind(X_21894,$fot(X_21906)),bind(X_21895,$fot(X_21907)),bind(X_21896,$fot(X_21908))]]) ).
cnf(refute_0_118,plain,
( f(X_21906,X_21908,X_21907)
| f(X_21907,X_21906,X_21908)
| f(z(X_21908,X_21907,X_21906),X_21907,X_21908) ),
inference(resolve,[$cnf( f(X_21908,z(X_21908,X_21907,X_21906),X_21907) )],[refute_0_1,refute_0_117]) ).
cnf(refute_0_119,plain,
( f(X_21909,X_21911,X_21910)
| f(X_21910,X_21909,X_21911)
| f(z(X_21911,X_21910,X_21909),X_21910,X_21911) ),
inference(subst,[],[refute_0_118:[bind(X_21906,$fot(X_21909)),bind(X_21907,$fot(X_21910)),bind(X_21908,$fot(X_21911))]]) ).
cnf(refute_0_120,plain,
( f(X_21909,X_21911,X_21910)
| f(X_21910,X_21909,X_21911)
| f(X_21911,X_21910,X_21909) ),
inference(resolve,[$cnf( f(z(X_21911,X_21910,X_21909),X_21910,X_21911) )],[refute_0_119,refute_0_0]) ).
cnf(refute_0_121,plain,
f(z(Y1,Y2,Y3),z(Y1,Y2,Y3),z(Y1,Y2,Y3)),
inference(subst,[],[refute_0_120:[bind(X_21909,$fot(z(Y1,Y2,Y3))),bind(X_21910,$fot(z(Y1,Y2,Y3))),bind(X_21911,$fot(z(Y1,Y2,Y3)))]]) ).
cnf(refute_0_122,plain,
( ~ f(Y1,Y2,Y3)
| ~ f(Y2,Y3,Y1)
| ~ f(Y3,Y1,Y2) ),
inference(resolve,[$cnf( f(z(Y1,Y2,Y3),z(Y1,Y2,Y3),z(Y1,Y2,Y3)) )],[refute_0_121,clause17]) ).
cnf(refute_0_123,plain,
~ f(Y1,Y1,Y1),
inference(subst,[],[refute_0_122:[bind(Y2,$fot(Y1)),bind(Y3,$fot(Y1))]]) ).
cnf(refute_0_124,plain,
f(Y1,Y1,Y1),
inference(subst,[],[refute_0_120:[bind(X_21909,$fot(Y1)),bind(X_21910,$fot(Y1)),bind(X_21911,$fot(Y1))]]) ).
cnf(refute_0_125,plain,
$false,
inference(resolve,[$cnf( f(Y1,Y1,Y1) )],[refute_0_124,refute_0_123]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : SYN353-1 : TPTP v8.1.0. Released v1.2.0.
% 0.03/0.12 % Command : metis --show proof --show saturation %s
% 0.13/0.33 % Computer : n009.cluster.edu
% 0.13/0.33 % Model : x86_64 x86_64
% 0.13/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.33 % Memory : 8042.1875MB
% 0.13/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.33 % CPULimit : 300
% 0.13/0.33 % WCLimit : 600
% 0.13/0.33 % DateTime : Tue Jul 12 02:10:52 EDT 2022
% 0.13/0.34 % CPUTime :
% 0.13/0.34 %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
% 157.30/157.51 % SZS status Unsatisfiable for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 157.30/157.51
% 157.30/157.51 % SZS output start CNFRefutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% See solution above
% 157.36/157.53
%------------------------------------------------------------------------------