TSTP Solution File: PUZ056-2.005 by Metis---2.4
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Metis---2.4
% Problem : PUZ056-2.005 : TPTP v8.1.0. Released v3.5.0.
% Transfm : none
% Format : tptp:raw
% Command : metis --show proof --show saturation %s
% Computer : n027.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 : Mon Jul 18 18:20:55 EDT 2022
% Result : Unsatisfiable 0.19s 0.43s
% Output : CNFRefutation 0.19s
% Verified :
% SZS Type : Refutation
% Derivation depth : 96
% Number of leaves : 13
% Syntax : Number of clauses : 139 ( 56 unt; 0 nHn; 98 RR)
% Number of literals : 295 ( 0 equ; 157 neg)
% Maximal clause size : 10 ( 2 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of predicates : 3 ( 2 usr; 1 prp; 0-5 aty)
% Number of functors : 3 ( 3 usr; 3 con; 0-0 aty)
% Number of variables : 127 ( 42 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(rule1,axiom,
( ~ p(I,T1,T2,T3,T4)
| p(J,T1,T2,T3,T4) ) ).
cnf(rule2,axiom,
( ~ p(T0,I,T2,T3,T4)
| ~ neq(T0,I)
| ~ neq(T0,J)
| p(T0,J,T2,T3,T4) ) ).
cnf(rule3,axiom,
( ~ p(T0,T1,I,T3,T4)
| ~ neq(T0,I)
| ~ neq(T0,J)
| ~ neq(T1,I)
| ~ neq(T1,J)
| p(T0,T1,J,T3,T4) ) ).
cnf(rule4,axiom,
( ~ p(T0,T1,T2,I,T4)
| ~ neq(T0,I)
| ~ neq(T0,J)
| ~ neq(T1,I)
| ~ neq(T1,J)
| ~ neq(T2,I)
| ~ neq(T2,J)
| p(T0,T1,T2,J,T4) ) ).
cnf(rule5,axiom,
( ~ p(T0,T1,T2,T3,I)
| ~ neq(T0,I)
| ~ neq(T0,J)
| ~ neq(T1,I)
| ~ neq(T1,J)
| ~ neq(T2,I)
| ~ neq(T2,J)
| ~ neq(T3,I)
| ~ neq(T3,J)
| p(T0,T1,T2,T3,J) ) ).
cnf(neq2,axiom,
neq(s0,s1) ).
cnf(neq3,axiom,
neq(s0,s2) ).
cnf(neq4,axiom,
neq(s1,s0) ).
cnf(neq6,axiom,
neq(s1,s2) ).
cnf(neq7,axiom,
neq(s2,s0) ).
cnf(neq8,axiom,
neq(s2,s1) ).
cnf(init,axiom,
p(s0,s0,s0,s0,s0) ).
cnf(goal,negated_conjecture,
~ p(s2,s2,s2,s2,s2) ).
cnf(refute_0_0,plain,
( ~ p(s0,s2,s2,s2,s2)
| p(J,s2,s2,s2,s2) ),
inference(subst,[],[rule1:[bind(I,$fot(s0)),bind(T1,$fot(s2)),bind(T2,$fot(s2)),bind(T3,$fot(s2)),bind(T4,$fot(s2))]]) ).
cnf(refute_0_1,plain,
( ~ neq(X_252,J)
| ~ neq(X_252,s1)
| ~ p(X_252,s1,s2,s2,s2)
| p(X_252,J,s2,s2,s2) ),
inference(subst,[],[rule2:[bind(I,$fot(s1)),bind(T0,$fot(X_252)),bind(T2,$fot(s2)),bind(T3,$fot(s2)),bind(T4,$fot(s2))]]) ).
cnf(refute_0_2,plain,
( ~ p(s1,s1,s2,s2,s2)
| p(J,s1,s2,s2,s2) ),
inference(subst,[],[rule1:[bind(I,$fot(s1)),bind(T1,$fot(s1)),bind(T2,$fot(s2)),bind(T3,$fot(s2)),bind(T4,$fot(s2))]]) ).
cnf(refute_0_3,plain,
( ~ neq(s1,J)
| ~ neq(s1,s0)
| ~ p(s1,s1,s0,s2,s2)
| p(s1,s1,J,s2,s2) ),
inference(subst,[],[rule3:[bind(I,$fot(s0)),bind(T0,$fot(s1)),bind(T1,$fot(s1)),bind(T3,$fot(s2)),bind(T4,$fot(s2))]]) ).
cnf(refute_0_4,plain,
( ~ p(s2,s1,s0,s2,s2)
| p(J,s1,s0,s2,s2) ),
inference(subst,[],[rule1:[bind(I,$fot(s2)),bind(T1,$fot(s1)),bind(T2,$fot(s0)),bind(T3,$fot(s2)),bind(T4,$fot(s2))]]) ).
cnf(refute_0_5,plain,
( ~ neq(X_224,J)
| ~ neq(X_224,s0)
| ~ p(X_224,s0,s0,s2,s2)
| p(X_224,J,s0,s2,s2) ),
inference(subst,[],[rule2:[bind(I,$fot(s0)),bind(T0,$fot(X_224)),bind(T2,$fot(s0)),bind(T3,$fot(s2)),bind(T4,$fot(s2))]]) ).
cnf(refute_0_6,plain,
( ~ p(s0,s0,s0,s2,s2)
| p(J,s0,s0,s2,s2) ),
inference(subst,[],[rule1:[bind(I,$fot(s0)),bind(T1,$fot(s0)),bind(T2,$fot(s0)),bind(T3,$fot(s2)),bind(T4,$fot(s2))]]) ).
cnf(refute_0_7,plain,
( ~ neq(s0,J)
| ~ neq(s0,s1)
| ~ p(s0,s0,s0,s1,s2)
| p(s0,s0,s0,J,s2) ),
inference(subst,[],[rule4:[bind(I,$fot(s1)),bind(T0,$fot(s0)),bind(T1,$fot(s0)),bind(T2,$fot(s0)),bind(T4,$fot(s2))]]) ).
cnf(refute_0_8,plain,
( ~ p(s1,s0,s0,s1,s2)
| p(J,s0,s0,s1,s2) ),
inference(subst,[],[rule1:[bind(I,$fot(s1)),bind(T1,$fot(s0)),bind(T2,$fot(s0)),bind(T3,$fot(s1)),bind(T4,$fot(s2))]]) ).
cnf(refute_0_9,plain,
( ~ neq(X_163,J)
| ~ neq(X_163,s2)
| ~ p(X_163,s2,s0,s1,s2)
| p(X_163,J,s0,s1,s2) ),
inference(subst,[],[rule2:[bind(I,$fot(s2)),bind(T0,$fot(X_163)),bind(T2,$fot(s0)),bind(T3,$fot(s1)),bind(T4,$fot(s2))]]) ).
cnf(refute_0_10,plain,
( ~ p(s2,s2,s0,s1,s2)
| p(J,s2,s0,s1,s2) ),
inference(subst,[],[rule1:[bind(I,$fot(s2)),bind(T1,$fot(s2)),bind(T2,$fot(s0)),bind(T3,$fot(s1)),bind(T4,$fot(s2))]]) ).
cnf(refute_0_11,plain,
( ~ neq(s2,J)
| ~ neq(s2,s1)
| ~ p(s2,s2,s1,s1,s2)
| p(s2,s2,J,s1,s2) ),
inference(subst,[],[rule3:[bind(I,$fot(s1)),bind(T0,$fot(s2)),bind(T1,$fot(s2)),bind(T3,$fot(s1)),bind(T4,$fot(s2))]]) ).
cnf(refute_0_12,plain,
( ~ p(s0,s2,s1,s1,s2)
| p(J,s2,s1,s1,s2) ),
inference(subst,[],[rule1:[bind(I,$fot(s0)),bind(T1,$fot(s2)),bind(T2,$fot(s1)),bind(T3,$fot(s1)),bind(T4,$fot(s2))]]) ).
cnf(refute_0_13,plain,
( ~ neq(X_119,J)
| ~ neq(X_119,s1)
| ~ p(X_119,s1,s1,s1,s2)
| p(X_119,J,s1,s1,s2) ),
inference(subst,[],[rule2:[bind(I,$fot(s1)),bind(T0,$fot(X_119)),bind(T2,$fot(s1)),bind(T3,$fot(s1)),bind(T4,$fot(s2))]]) ).
cnf(refute_0_14,plain,
( ~ p(s1,s1,s1,s1,s2)
| p(J,s1,s1,s1,s2) ),
inference(subst,[],[rule1:[bind(I,$fot(s1)),bind(T1,$fot(s1)),bind(T2,$fot(s1)),bind(T3,$fot(s1)),bind(T4,$fot(s2))]]) ).
cnf(refute_0_15,plain,
( ~ neq(s1,J)
| ~ neq(s1,s0)
| ~ p(s1,s1,s1,s1,s0)
| p(s1,s1,s1,s1,J) ),
inference(subst,[],[rule5:[bind(I,$fot(s0)),bind(T0,$fot(s1)),bind(T1,$fot(s1)),bind(T2,$fot(s1)),bind(T3,$fot(s1))]]) ).
cnf(refute_0_16,plain,
( ~ p(s2,s1,s1,s1,s0)
| p(J,s1,s1,s1,s0) ),
inference(subst,[],[rule1:[bind(I,$fot(s2)),bind(T1,$fot(s1)),bind(T2,$fot(s1)),bind(T3,$fot(s1)),bind(T4,$fot(s0))]]) ).
cnf(refute_0_17,plain,
( ~ neq(X_86,J)
| ~ neq(X_86,s0)
| ~ p(X_86,s0,s1,s1,s0)
| p(X_86,J,s1,s1,s0) ),
inference(subst,[],[rule2:[bind(I,$fot(s0)),bind(T0,$fot(X_86)),bind(T2,$fot(s1)),bind(T3,$fot(s1)),bind(T4,$fot(s0))]]) ).
cnf(refute_0_18,plain,
( ~ p(s0,s0,s1,s1,s0)
| p(J,s0,s1,s1,s0) ),
inference(subst,[],[rule1:[bind(I,$fot(s0)),bind(T1,$fot(s0)),bind(T2,$fot(s1)),bind(T3,$fot(s1)),bind(T4,$fot(s0))]]) ).
cnf(refute_0_19,plain,
( ~ neq(s0,J)
| ~ neq(s0,s2)
| ~ p(s0,s0,s2,s1,s0)
| p(s0,s0,J,s1,s0) ),
inference(subst,[],[rule3:[bind(I,$fot(s2)),bind(T0,$fot(s0)),bind(T1,$fot(s0)),bind(T3,$fot(s1)),bind(T4,$fot(s0))]]) ).
cnf(refute_0_20,plain,
( ~ p(s1,s0,s2,s1,s0)
| p(J,s0,s2,s1,s0) ),
inference(subst,[],[rule1:[bind(I,$fot(s1)),bind(T1,$fot(s0)),bind(T2,$fot(s2)),bind(T3,$fot(s1)),bind(T4,$fot(s0))]]) ).
cnf(refute_0_21,plain,
( ~ neq(X_56,J)
| ~ neq(X_56,s2)
| ~ p(X_56,s2,s2,s1,s0)
| p(X_56,J,s2,s1,s0) ),
inference(subst,[],[rule2:[bind(I,$fot(s2)),bind(T0,$fot(X_56)),bind(T2,$fot(s2)),bind(T3,$fot(s1)),bind(T4,$fot(s0))]]) ).
cnf(refute_0_22,plain,
( ~ p(s2,s2,s2,s1,s0)
| p(J,s2,s2,s1,s0) ),
inference(subst,[],[rule1:[bind(I,$fot(s2)),bind(T1,$fot(s2)),bind(T2,$fot(s2)),bind(T3,$fot(s1)),bind(T4,$fot(s0))]]) ).
cnf(refute_0_23,plain,
( ~ neq(s2,J)
| ~ neq(s2,s0)
| ~ p(s2,s2,s2,s0,s0)
| p(s2,s2,s2,J,s0) ),
inference(subst,[],[rule4:[bind(I,$fot(s0)),bind(T0,$fot(s2)),bind(T1,$fot(s2)),bind(T2,$fot(s2)),bind(T4,$fot(s0))]]) ).
cnf(refute_0_24,plain,
( ~ p(s0,s2,s2,s0,s0)
| p(J,s2,s2,s0,s0) ),
inference(subst,[],[rule1:[bind(I,$fot(s0)),bind(T1,$fot(s2)),bind(T2,$fot(s2)),bind(T3,$fot(s0)),bind(T4,$fot(s0))]]) ).
cnf(refute_0_25,plain,
( ~ neq(X_34,J)
| ~ neq(X_34,s1)
| ~ p(X_34,s1,s2,s0,s0)
| p(X_34,J,s2,s0,s0) ),
inference(subst,[],[rule2:[bind(I,$fot(s1)),bind(T0,$fot(X_34)),bind(T2,$fot(s2)),bind(T3,$fot(s0)),bind(T4,$fot(s0))]]) ).
cnf(refute_0_26,plain,
( ~ p(s1,s1,s2,s0,s0)
| p(J,s1,s2,s0,s0) ),
inference(subst,[],[rule1:[bind(I,$fot(s1)),bind(T1,$fot(s1)),bind(T2,$fot(s2)),bind(T3,$fot(s0)),bind(T4,$fot(s0))]]) ).
cnf(refute_0_27,plain,
( ~ neq(s1,J)
| ~ neq(s1,s0)
| ~ p(s1,s1,s0,s0,s0)
| p(s1,s1,J,s0,s0) ),
inference(subst,[],[rule3:[bind(I,$fot(s0)),bind(T0,$fot(s1)),bind(T1,$fot(s1)),bind(T3,$fot(s0)),bind(T4,$fot(s0))]]) ).
cnf(refute_0_28,plain,
( ~ p(s2,s1,s0,s0,s0)
| p(J,s1,s0,s0,s0) ),
inference(subst,[],[rule1:[bind(I,$fot(s2)),bind(T1,$fot(s1)),bind(T2,$fot(s0)),bind(T3,$fot(s0)),bind(T4,$fot(s0))]]) ).
cnf(refute_0_29,plain,
( ~ p(s0,s0,s0,s0,s0)
| p(X_1,s0,s0,s0,s0) ),
inference(subst,[],[rule1:[bind(I,$fot(s0)),bind(J,$fot(X_1)),bind(T1,$fot(s0)),bind(T2,$fot(s0)),bind(T3,$fot(s0)),bind(T4,$fot(s0))]]) ).
cnf(refute_0_30,plain,
p(X_1,s0,s0,s0,s0),
inference(resolve,[$cnf( p(s0,s0,s0,s0,s0) )],[init,refute_0_29]) ).
cnf(refute_0_31,plain,
p(X_21,s0,s0,s0,s0),
inference(subst,[],[refute_0_30:[bind(X_1,$fot(X_21))]]) ).
cnf(refute_0_32,plain,
( ~ neq(X_21,X_20)
| ~ neq(X_21,s0)
| ~ p(X_21,s0,s0,s0,s0)
| p(X_21,X_20,s0,s0,s0) ),
inference(subst,[],[rule2:[bind(I,$fot(s0)),bind(J,$fot(X_20)),bind(T0,$fot(X_21)),bind(T2,$fot(s0)),bind(T3,$fot(s0)),bind(T4,$fot(s0))]]) ).
cnf(refute_0_33,plain,
( ~ neq(X_21,X_20)
| ~ neq(X_21,s0)
| p(X_21,X_20,s0,s0,s0) ),
inference(resolve,[$cnf( p(X_21,s0,s0,s0,s0) )],[refute_0_31,refute_0_32]) ).
cnf(refute_0_34,plain,
( ~ neq(s2,s0)
| ~ neq(s2,s1)
| p(s2,s1,s0,s0,s0) ),
inference(subst,[],[refute_0_33:[bind(X_20,$fot(s1)),bind(X_21,$fot(s2))]]) ).
cnf(refute_0_35,plain,
( ~ neq(s2,s0)
| p(s2,s1,s0,s0,s0) ),
inference(resolve,[$cnf( neq(s2,s1) )],[neq8,refute_0_34]) ).
cnf(refute_0_36,plain,
p(s2,s1,s0,s0,s0),
inference(resolve,[$cnf( neq(s2,s0) )],[neq7,refute_0_35]) ).
cnf(refute_0_37,plain,
p(J,s1,s0,s0,s0),
inference(resolve,[$cnf( p(s2,s1,s0,s0,s0) )],[refute_0_36,refute_0_28]) ).
cnf(refute_0_38,plain,
p(s1,s1,s0,s0,s0),
inference(subst,[],[refute_0_37:[bind(J,$fot(s1))]]) ).
cnf(refute_0_39,plain,
( ~ neq(s1,J)
| ~ neq(s1,s0)
| p(s1,s1,J,s0,s0) ),
inference(resolve,[$cnf( p(s1,s1,s0,s0,s0) )],[refute_0_38,refute_0_27]) ).
cnf(refute_0_40,plain,
( ~ neq(s1,J)
| p(s1,s1,J,s0,s0) ),
inference(resolve,[$cnf( neq(s1,s0) )],[neq4,refute_0_39]) ).
cnf(refute_0_41,plain,
( ~ neq(s1,s2)
| p(s1,s1,s2,s0,s0) ),
inference(subst,[],[refute_0_40:[bind(J,$fot(s2))]]) ).
cnf(refute_0_42,plain,
p(s1,s1,s2,s0,s0),
inference(resolve,[$cnf( neq(s1,s2) )],[neq6,refute_0_41]) ).
cnf(refute_0_43,plain,
p(J,s1,s2,s0,s0),
inference(resolve,[$cnf( p(s1,s1,s2,s0,s0) )],[refute_0_42,refute_0_26]) ).
cnf(refute_0_44,plain,
p(X_34,s1,s2,s0,s0),
inference(subst,[],[refute_0_43:[bind(J,$fot(X_34))]]) ).
cnf(refute_0_45,plain,
( ~ neq(X_34,J)
| ~ neq(X_34,s1)
| p(X_34,J,s2,s0,s0) ),
inference(resolve,[$cnf( p(X_34,s1,s2,s0,s0) )],[refute_0_44,refute_0_25]) ).
cnf(refute_0_46,plain,
( ~ neq(s0,s1)
| ~ neq(s0,s2)
| p(s0,s2,s2,s0,s0) ),
inference(subst,[],[refute_0_45:[bind(J,$fot(s2)),bind(X_34,$fot(s0))]]) ).
cnf(refute_0_47,plain,
( ~ neq(s0,s1)
| p(s0,s2,s2,s0,s0) ),
inference(resolve,[$cnf( neq(s0,s2) )],[neq3,refute_0_46]) ).
cnf(refute_0_48,plain,
p(s0,s2,s2,s0,s0),
inference(resolve,[$cnf( neq(s0,s1) )],[neq2,refute_0_47]) ).
cnf(refute_0_49,plain,
p(J,s2,s2,s0,s0),
inference(resolve,[$cnf( p(s0,s2,s2,s0,s0) )],[refute_0_48,refute_0_24]) ).
cnf(refute_0_50,plain,
p(s2,s2,s2,s0,s0),
inference(subst,[],[refute_0_49:[bind(J,$fot(s2))]]) ).
cnf(refute_0_51,plain,
( ~ neq(s2,J)
| ~ neq(s2,s0)
| p(s2,s2,s2,J,s0) ),
inference(resolve,[$cnf( p(s2,s2,s2,s0,s0) )],[refute_0_50,refute_0_23]) ).
cnf(refute_0_52,plain,
( ~ neq(s2,J)
| p(s2,s2,s2,J,s0) ),
inference(resolve,[$cnf( neq(s2,s0) )],[neq7,refute_0_51]) ).
cnf(refute_0_53,plain,
( ~ neq(s2,s1)
| p(s2,s2,s2,s1,s0) ),
inference(subst,[],[refute_0_52:[bind(J,$fot(s1))]]) ).
cnf(refute_0_54,plain,
p(s2,s2,s2,s1,s0),
inference(resolve,[$cnf( neq(s2,s1) )],[neq8,refute_0_53]) ).
cnf(refute_0_55,plain,
p(J,s2,s2,s1,s0),
inference(resolve,[$cnf( p(s2,s2,s2,s1,s0) )],[refute_0_54,refute_0_22]) ).
cnf(refute_0_56,plain,
p(X_56,s2,s2,s1,s0),
inference(subst,[],[refute_0_55:[bind(J,$fot(X_56))]]) ).
cnf(refute_0_57,plain,
( ~ neq(X_56,J)
| ~ neq(X_56,s2)
| p(X_56,J,s2,s1,s0) ),
inference(resolve,[$cnf( p(X_56,s2,s2,s1,s0) )],[refute_0_56,refute_0_21]) ).
cnf(refute_0_58,plain,
( ~ neq(s1,X_77)
| ~ neq(s1,s2)
| p(s1,X_77,s2,s1,s0) ),
inference(subst,[],[refute_0_57:[bind(J,$fot(X_77)),bind(X_56,$fot(s1))]]) ).
cnf(refute_0_59,plain,
( ~ neq(s1,X_77)
| p(s1,X_77,s2,s1,s0) ),
inference(resolve,[$cnf( neq(s1,s2) )],[neq6,refute_0_58]) ).
cnf(refute_0_60,plain,
( ~ neq(s1,s0)
| p(s1,s0,s2,s1,s0) ),
inference(subst,[],[refute_0_59:[bind(X_77,$fot(s0))]]) ).
cnf(refute_0_61,plain,
p(s1,s0,s2,s1,s0),
inference(resolve,[$cnf( neq(s1,s0) )],[neq4,refute_0_60]) ).
cnf(refute_0_62,plain,
p(J,s0,s2,s1,s0),
inference(resolve,[$cnf( p(s1,s0,s2,s1,s0) )],[refute_0_61,refute_0_20]) ).
cnf(refute_0_63,plain,
p(s0,s0,s2,s1,s0),
inference(subst,[],[refute_0_62:[bind(J,$fot(s0))]]) ).
cnf(refute_0_64,plain,
( ~ neq(s0,J)
| ~ neq(s0,s2)
| p(s0,s0,J,s1,s0) ),
inference(resolve,[$cnf( p(s0,s0,s2,s1,s0) )],[refute_0_63,refute_0_19]) ).
cnf(refute_0_65,plain,
( ~ neq(s0,J)
| p(s0,s0,J,s1,s0) ),
inference(resolve,[$cnf( neq(s0,s2) )],[neq3,refute_0_64]) ).
cnf(refute_0_66,plain,
( ~ neq(s0,s1)
| p(s0,s0,s1,s1,s0) ),
inference(subst,[],[refute_0_65:[bind(J,$fot(s1))]]) ).
cnf(refute_0_67,plain,
p(s0,s0,s1,s1,s0),
inference(resolve,[$cnf( neq(s0,s1) )],[neq2,refute_0_66]) ).
cnf(refute_0_68,plain,
p(J,s0,s1,s1,s0),
inference(resolve,[$cnf( p(s0,s0,s1,s1,s0) )],[refute_0_67,refute_0_18]) ).
cnf(refute_0_69,plain,
p(X_86,s0,s1,s1,s0),
inference(subst,[],[refute_0_68:[bind(J,$fot(X_86))]]) ).
cnf(refute_0_70,plain,
( ~ neq(X_86,J)
| ~ neq(X_86,s0)
| p(X_86,J,s1,s1,s0) ),
inference(resolve,[$cnf( p(X_86,s0,s1,s1,s0) )],[refute_0_69,refute_0_17]) ).
cnf(refute_0_71,plain,
( ~ neq(s2,s0)
| ~ neq(s2,s1)
| p(s2,s1,s1,s1,s0) ),
inference(subst,[],[refute_0_70:[bind(J,$fot(s1)),bind(X_86,$fot(s2))]]) ).
cnf(refute_0_72,plain,
( ~ neq(s2,s0)
| p(s2,s1,s1,s1,s0) ),
inference(resolve,[$cnf( neq(s2,s1) )],[neq8,refute_0_71]) ).
cnf(refute_0_73,plain,
p(s2,s1,s1,s1,s0),
inference(resolve,[$cnf( neq(s2,s0) )],[neq7,refute_0_72]) ).
cnf(refute_0_74,plain,
p(J,s1,s1,s1,s0),
inference(resolve,[$cnf( p(s2,s1,s1,s1,s0) )],[refute_0_73,refute_0_16]) ).
cnf(refute_0_75,plain,
p(s1,s1,s1,s1,s0),
inference(subst,[],[refute_0_74:[bind(J,$fot(s1))]]) ).
cnf(refute_0_76,plain,
( ~ neq(s1,J)
| ~ neq(s1,s0)
| p(s1,s1,s1,s1,J) ),
inference(resolve,[$cnf( p(s1,s1,s1,s1,s0) )],[refute_0_75,refute_0_15]) ).
cnf(refute_0_77,plain,
( ~ neq(s1,J)
| p(s1,s1,s1,s1,J) ),
inference(resolve,[$cnf( neq(s1,s0) )],[neq4,refute_0_76]) ).
cnf(refute_0_78,plain,
( ~ neq(s1,s2)
| p(s1,s1,s1,s1,s2) ),
inference(subst,[],[refute_0_77:[bind(J,$fot(s2))]]) ).
cnf(refute_0_79,plain,
p(s1,s1,s1,s1,s2),
inference(resolve,[$cnf( neq(s1,s2) )],[neq6,refute_0_78]) ).
cnf(refute_0_80,plain,
p(J,s1,s1,s1,s2),
inference(resolve,[$cnf( p(s1,s1,s1,s1,s2) )],[refute_0_79,refute_0_14]) ).
cnf(refute_0_81,plain,
p(X_119,s1,s1,s1,s2),
inference(subst,[],[refute_0_80:[bind(J,$fot(X_119))]]) ).
cnf(refute_0_82,plain,
( ~ neq(X_119,J)
| ~ neq(X_119,s1)
| p(X_119,J,s1,s1,s2) ),
inference(resolve,[$cnf( p(X_119,s1,s1,s1,s2) )],[refute_0_81,refute_0_13]) ).
cnf(refute_0_83,plain,
( ~ neq(s0,s1)
| ~ neq(s0,s2)
| p(s0,s2,s1,s1,s2) ),
inference(subst,[],[refute_0_82:[bind(J,$fot(s2)),bind(X_119,$fot(s0))]]) ).
cnf(refute_0_84,plain,
( ~ neq(s0,s1)
| p(s0,s2,s1,s1,s2) ),
inference(resolve,[$cnf( neq(s0,s2) )],[neq3,refute_0_83]) ).
cnf(refute_0_85,plain,
p(s0,s2,s1,s1,s2),
inference(resolve,[$cnf( neq(s0,s1) )],[neq2,refute_0_84]) ).
cnf(refute_0_86,plain,
p(J,s2,s1,s1,s2),
inference(resolve,[$cnf( p(s0,s2,s1,s1,s2) )],[refute_0_85,refute_0_12]) ).
cnf(refute_0_87,plain,
p(s2,s2,s1,s1,s2),
inference(subst,[],[refute_0_86:[bind(J,$fot(s2))]]) ).
cnf(refute_0_88,plain,
( ~ neq(s2,J)
| ~ neq(s2,s1)
| p(s2,s2,J,s1,s2) ),
inference(resolve,[$cnf( p(s2,s2,s1,s1,s2) )],[refute_0_87,refute_0_11]) ).
cnf(refute_0_89,plain,
( ~ neq(s2,J)
| p(s2,s2,J,s1,s2) ),
inference(resolve,[$cnf( neq(s2,s1) )],[neq8,refute_0_88]) ).
cnf(refute_0_90,plain,
( ~ neq(s2,s0)
| p(s2,s2,s0,s1,s2) ),
inference(subst,[],[refute_0_89:[bind(J,$fot(s0))]]) ).
cnf(refute_0_91,plain,
p(s2,s2,s0,s1,s2),
inference(resolve,[$cnf( neq(s2,s0) )],[neq7,refute_0_90]) ).
cnf(refute_0_92,plain,
p(J,s2,s0,s1,s2),
inference(resolve,[$cnf( p(s2,s2,s0,s1,s2) )],[refute_0_91,refute_0_10]) ).
cnf(refute_0_93,plain,
p(X_163,s2,s0,s1,s2),
inference(subst,[],[refute_0_92:[bind(J,$fot(X_163))]]) ).
cnf(refute_0_94,plain,
( ~ neq(X_163,J)
| ~ neq(X_163,s2)
| p(X_163,J,s0,s1,s2) ),
inference(resolve,[$cnf( p(X_163,s2,s0,s1,s2) )],[refute_0_93,refute_0_9]) ).
cnf(refute_0_95,plain,
( ~ neq(s1,X_218)
| ~ neq(s1,s2)
| p(s1,X_218,s0,s1,s2) ),
inference(subst,[],[refute_0_94:[bind(J,$fot(X_218)),bind(X_163,$fot(s1))]]) ).
cnf(refute_0_96,plain,
( ~ neq(s1,X_218)
| p(s1,X_218,s0,s1,s2) ),
inference(resolve,[$cnf( neq(s1,s2) )],[neq6,refute_0_95]) ).
cnf(refute_0_97,plain,
( ~ neq(s1,s0)
| p(s1,s0,s0,s1,s2) ),
inference(subst,[],[refute_0_96:[bind(X_218,$fot(s0))]]) ).
cnf(refute_0_98,plain,
p(s1,s0,s0,s1,s2),
inference(resolve,[$cnf( neq(s1,s0) )],[neq4,refute_0_97]) ).
cnf(refute_0_99,plain,
p(J,s0,s0,s1,s2),
inference(resolve,[$cnf( p(s1,s0,s0,s1,s2) )],[refute_0_98,refute_0_8]) ).
cnf(refute_0_100,plain,
p(s0,s0,s0,s1,s2),
inference(subst,[],[refute_0_99:[bind(J,$fot(s0))]]) ).
cnf(refute_0_101,plain,
( ~ neq(s0,J)
| ~ neq(s0,s1)
| p(s0,s0,s0,J,s2) ),
inference(resolve,[$cnf( p(s0,s0,s0,s1,s2) )],[refute_0_100,refute_0_7]) ).
cnf(refute_0_102,plain,
( ~ neq(s0,J)
| p(s0,s0,s0,J,s2) ),
inference(resolve,[$cnf( neq(s0,s1) )],[neq2,refute_0_101]) ).
cnf(refute_0_103,plain,
( ~ neq(s0,s2)
| p(s0,s0,s0,s2,s2) ),
inference(subst,[],[refute_0_102:[bind(J,$fot(s2))]]) ).
cnf(refute_0_104,plain,
p(s0,s0,s0,s2,s2),
inference(resolve,[$cnf( neq(s0,s2) )],[neq3,refute_0_103]) ).
cnf(refute_0_105,plain,
p(J,s0,s0,s2,s2),
inference(resolve,[$cnf( p(s0,s0,s0,s2,s2) )],[refute_0_104,refute_0_6]) ).
cnf(refute_0_106,plain,
p(X_224,s0,s0,s2,s2),
inference(subst,[],[refute_0_105:[bind(J,$fot(X_224))]]) ).
cnf(refute_0_107,plain,
( ~ neq(X_224,J)
| ~ neq(X_224,s0)
| p(X_224,J,s0,s2,s2) ),
inference(resolve,[$cnf( p(X_224,s0,s0,s2,s2) )],[refute_0_106,refute_0_5]) ).
cnf(refute_0_108,plain,
( ~ neq(s2,s0)
| ~ neq(s2,s1)
| p(s2,s1,s0,s2,s2) ),
inference(subst,[],[refute_0_107:[bind(J,$fot(s1)),bind(X_224,$fot(s2))]]) ).
cnf(refute_0_109,plain,
( ~ neq(s2,s0)
| p(s2,s1,s0,s2,s2) ),
inference(resolve,[$cnf( neq(s2,s1) )],[neq8,refute_0_108]) ).
cnf(refute_0_110,plain,
p(s2,s1,s0,s2,s2),
inference(resolve,[$cnf( neq(s2,s0) )],[neq7,refute_0_109]) ).
cnf(refute_0_111,plain,
p(J,s1,s0,s2,s2),
inference(resolve,[$cnf( p(s2,s1,s0,s2,s2) )],[refute_0_110,refute_0_4]) ).
cnf(refute_0_112,plain,
p(s1,s1,s0,s2,s2),
inference(subst,[],[refute_0_111:[bind(J,$fot(s1))]]) ).
cnf(refute_0_113,plain,
( ~ neq(s1,J)
| ~ neq(s1,s0)
| p(s1,s1,J,s2,s2) ),
inference(resolve,[$cnf( p(s1,s1,s0,s2,s2) )],[refute_0_112,refute_0_3]) ).
cnf(refute_0_114,plain,
( ~ neq(s1,J)
| p(s1,s1,J,s2,s2) ),
inference(resolve,[$cnf( neq(s1,s0) )],[neq4,refute_0_113]) ).
cnf(refute_0_115,plain,
( ~ neq(s1,s2)
| p(s1,s1,s2,s2,s2) ),
inference(subst,[],[refute_0_114:[bind(J,$fot(s2))]]) ).
cnf(refute_0_116,plain,
p(s1,s1,s2,s2,s2),
inference(resolve,[$cnf( neq(s1,s2) )],[neq6,refute_0_115]) ).
cnf(refute_0_117,plain,
p(J,s1,s2,s2,s2),
inference(resolve,[$cnf( p(s1,s1,s2,s2,s2) )],[refute_0_116,refute_0_2]) ).
cnf(refute_0_118,plain,
p(X_252,s1,s2,s2,s2),
inference(subst,[],[refute_0_117:[bind(J,$fot(X_252))]]) ).
cnf(refute_0_119,plain,
( ~ neq(X_252,J)
| ~ neq(X_252,s1)
| p(X_252,J,s2,s2,s2) ),
inference(resolve,[$cnf( p(X_252,s1,s2,s2,s2) )],[refute_0_118,refute_0_1]) ).
cnf(refute_0_120,plain,
( ~ neq(s0,s1)
| ~ neq(s0,s2)
| p(s0,s2,s2,s2,s2) ),
inference(subst,[],[refute_0_119:[bind(J,$fot(s2)),bind(X_252,$fot(s0))]]) ).
cnf(refute_0_121,plain,
( ~ neq(s0,s1)
| p(s0,s2,s2,s2,s2) ),
inference(resolve,[$cnf( neq(s0,s2) )],[neq3,refute_0_120]) ).
cnf(refute_0_122,plain,
p(s0,s2,s2,s2,s2),
inference(resolve,[$cnf( neq(s0,s1) )],[neq2,refute_0_121]) ).
cnf(refute_0_123,plain,
p(J,s2,s2,s2,s2),
inference(resolve,[$cnf( p(s0,s2,s2,s2,s2) )],[refute_0_122,refute_0_0]) ).
cnf(refute_0_124,plain,
p(s2,s2,s2,s2,s2),
inference(subst,[],[refute_0_123:[bind(J,$fot(s2))]]) ).
cnf(refute_0_125,plain,
$false,
inference(resolve,[$cnf( p(s2,s2,s2,s2,s2) )],[refute_0_124,goal]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.11 % Problem : PUZ056-2.005 : TPTP v8.1.0. Released v3.5.0.
% 0.03/0.12 % Command : metis --show proof --show saturation %s
% 0.12/0.33 % Computer : n027.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 : Sat May 28 23:08:14 EDT 2022
% 0.12/0.33 % CPUTime :
% 0.12/0.33 %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
% 0.19/0.43 % SZS status Unsatisfiable for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.19/0.43
% 0.19/0.43 % SZS output start CNFRefutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% See solution above
% 0.19/0.44
%------------------------------------------------------------------------------