%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : PUZ107^5 : TPTP v9.3.1. Bugfixed v6.2.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% Computer : n004.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8046.5625MB
% OS : Linux 6.8.0-71-generic
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Wed Sep 30 08:20:54 AM UTC 2026
% Result : Theorem 0.35s 0.41s
% Output : Refutation 0.35s
% Verified :
% SZS Type : Refutation
% Derivation depth : 42
% Number of leaves : 6
% Syntax : Number of formulae : 77 ( 46 unt; 0 typ; 1 def)
% Number of atoms : 860 ( 329 equ; 0 cnn)
% Maximal formula atoms : 4 ( 11 avg)
% Number of connectives : 1360 ( 96 ~; 51 |; 208 &; 786 @)
% ( 1 <=>; 36 =>; 0 <=; 0 <~>)
% Maximal formula depth : 7 ( 3 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 164 ( 164 >; 0 *; 0 +; 0 <<)
% Number of symbols : 34 ( 29 usr; 8 con; 0-4 aty)
% ( 110 !!; 72 ??; 0 @@+; 0 @@-)
% Number of variables : 334 ( 0 sgn 70 !; 10 ?; 334 :)
% Comments :
%------------------------------------------------------------------------------
thf(type_def_5,type,
sTfun: ( $tType * $tType ) > $tType ).
thf(func_def_1,type,
cCKB_FIN: ( $i > $i > $o ) > $o ).
thf(func_def_2,type,
cCKB_INF: ( $i > $i > $o ) > $o ).
thf(func_def_3,type,
cCKB_INJ: ( $i > $i > $i > $i > $o ) > $o ).
thf(func_def_4,type,
cCKB_XPL: ( $i > $i > $i > $i > $o ) > ( $i > $i > $o ) > $i > $i > $o ).
thf(func_def_6,type,
vAND: $o > $o > $o ).
thf(func_def_7,type,
vPI:
!>[X0: $tType] : ( ( X0 > $o ) > $o ) ).
thf(func_def_8,type,
vIMP: $o > $o > $o ).
thf(func_def_9,type,
db4:
!>[X0: $tType] : X0 ).
thf(func_def_10,type,
db1:
!>[X0: $tType] : X0 ).
thf(func_def_11,type,
db0:
!>[X0: $tType] : X0 ).
thf(func_def_12,type,
vSIGMA:
!>[X0: $tType] : ( ( X0 > $o ) > $o ) ).
thf(func_def_13,type,
db6:
!>[X0: $tType] : X0 ).
thf(func_def_14,type,
db7:
!>[X0: $tType] : X0 ).
thf(func_def_15,type,
db3:
!>[X0: $tType] : X0 ).
thf(func_def_16,type,
db2:
!>[X0: $tType] : X0 ).
thf(func_def_17,type,
vNOT: $o > $o ).
thf(func_def_18,type,
vEQ:
!>[X0: $tType] : ( X0 > X0 > $o ) ).
thf(func_def_19,type,
db5:
!>[X0: $tType] : X0 ).
thf(func_def_20,type,
vLAM:
!>[X0: $tType,X1: $tType] : ( X1 > X0 > X1 ) ).
thf(func_def_23,type,
db8:
!>[X0: $tType] : X0 ).
thf(func_def_24,type,
db9:
!>[X0: $tType] : X0 ).
thf(func_def_25,type,
sK0: $i > $i > $i > $i > $o ).
thf(func_def_28,type,
sK3: $i > $i > $i ).
thf(func_def_29,type,
sK4: $i > $i > $i ).
thf(f1,axiom,
( cCKB_INJ
= ( ^ [X0: $i > $i > $i > $i > $o] :
! [X4: $i,X5: $i,X2: $i,X6: $i,X3: $i,X1: $i] :
( ( ( X0 @ X3 @ X4 @ X5 @ X6 )
& ( X0 @ X1 @ X2 @ X5 @ X6 ) )
=> ( ( X1 = X3 )
& ( X2 = X4 ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cCKB_INJ_def) ).
thf(f2,axiom,
( ( ^ [X0: $i > $i > $i > $i > $o,X1: $i > $i > $o,X2: $i,X3: $i] :
( ( X1 @ X2 @ X3 )
& ! [X5: $i,X4: $i] :
( ( X1 @ X4 @ X5 )
=> ? [X6: $i,X7: $i] :
( ~ ( ( X6 = X2 )
& ( X7 = X3 ) )
& ( X0 @ X4 @ X5 @ X6 @ X7 )
& ( X1 @ X6 @ X7 ) ) ) ) )
= cCKB_XPL ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cCKB_XPL_def) ).
thf(f3,axiom,
( ( ^ [X0: $i > $i > $o] :
? [X3: $i,X2: $i,X1: $i > $i > $i > $i > $o] :
( ( cCKB_XPL @ X1 @ X0 @ X2 @ X3 )
& ( cCKB_INJ @ X1 ) ) )
= cCKB_INF ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cCKB_INF_def) ).
thf(f4,axiom,
( ( ^ [X0: $i > $i > $o] :
~ ( cCKB_INF @ X0 ) )
= cCKB_FIN ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cCKB_FIN_def) ).
thf(f5,conjecture,
( cCKB_FIN
@ ^ [X0: $i,X1: $i] :
( ( X1 = c1 )
& ( X0 = c1 ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cL3000) ).
thf(f6,negated_conjecture,
~ ( cCKB_FIN
@ ^ [X0: $i,X1: $i] :
( ( X1 = c1 )
& ( X0 = c1 ) ) ),
inference(negated_conjecture,[status(cth)],[f5]) ).
thf(f7,plain,
( ( ^ [X0: $i > $i > $i > $i > $o,X1: $i > $i > $o,X2: $i,X3: $i] :
( ( X1 @ X2 @ X3 )
& ! [X4: $i,X5: $i] :
( ( X1 @ X5 @ X4 )
=> ? [X6: $i,X7: $i] :
( ~ ( ( X6 = X2 )
& ( X7 = X3 ) )
& ( X0 @ X5 @ X4 @ X6 @ X7 )
& ( X1 @ X6 @ X7 ) ) ) ) )
= cCKB_XPL ),
inference(rectify,[],[f2]) ).
thf(f8,plain,
( cCKB_XPL
= ( ^ [Y0: $i > $i > $i > $i > $o,Y1: $i > $i > $o,Y2: $i,Y3: $i] :
( ( !! @ $i
@ ^ [Y4: $i] :
( !! @ $i
@ ^ [Y5: $i] :
( ( Y1 @ Y4 @ Y5 )
=> ( ?? @ $i
@ ^ [Y6: $i] :
( ?? @ $i
@ ^ [Y7: $i] :
( ( Y1 @ Y7 @ Y6 )
& ( Y0 @ Y4 @ Y5 @ Y7 @ Y6 )
& ~ ( ( Y3 = Y6 )
& ( Y2 = Y7 ) ) ) ) ) ) ) )
& ( Y1 @ Y2 @ Y3 ) ) ) ),
inference(fool_elimination,[],[f7]) ).
thf(f9,plain,
( ( ^ [X0: $i > $i > $o] :
? [X1: $i,X2: $i,X3: $i > $i > $i > $i > $o] :
( ( cCKB_XPL @ X3 @ X0 @ X2 @ X1 )
& ( cCKB_INJ @ X3 ) ) )
= cCKB_INF ),
inference(rectify,[],[f3]) ).
thf(f10,plain,
( cCKB_INF
= ( ^ [Y0: $i > $i > $o] :
( ?? @ ( $i > $i > $i > $i > $o )
@ ^ [Y1: $i > $i > $i > $i > $o] :
( ?? @ $i
@ ^ [Y2: $i] :
( ?? @ $i
@ ^ [Y3: $i] :
( ( cCKB_INJ @ Y1 )
& ( cCKB_XPL @ Y1 @ Y0 @ Y2 @ Y3 ) ) ) ) ) ) ),
inference(fool_elimination,[],[f9]) ).
thf(f11,plain,
( cCKB_INJ
= ( ^ [X0: $i > $i > $i > $i > $o] :
! [X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i] :
( ( ( X0 @ X5 @ X1 @ X2 @ X4 )
& ( X0 @ X6 @ X3 @ X2 @ X4 ) )
=> ( ( X5 = X6 )
& ( X1 = X3 ) ) ) ) ),
inference(rectify,[],[f1]) ).
thf(f12,plain,
( cCKB_INJ
= ( ^ [Y0: $i > $i > $i > $i > $o] :
( !! @ $i
@ ^ [Y1: $i] :
( !! @ $i
@ ^ [Y2: $i] :
( !! @ $i
@ ^ [Y3: $i] :
( !! @ $i
@ ^ [Y4: $i] :
( !! @ $i
@ ^ [Y5: $i] :
( !! @ $i
@ ^ [Y6: $i] :
( ( ( Y0 @ Y1 @ Y4 @ Y5 @ Y3 )
& ( Y0 @ Y2 @ Y6 @ Y5 @ Y3 ) )
=> ( ( Y6 = Y4 )
& ( Y2 = Y1 ) ) ) ) ) ) ) ) ) ) ),
inference(fool_elimination,[],[f11]) ).
thf(f13,plain,
~ ( cCKB_FIN
@ ^ [X0: $i,X1: $i] :
( ( X1 = c1 )
& ( X0 = c1 ) ) ),
inference(rectify,[],[f6]) ).
thf(f14,plain,
( ( cCKB_FIN
@ ^ [Y0: $i,Y1: $i] :
( ( c1 = Y0 )
& ( c1 = Y1 ) ) )
!= $true ),
inference(fool_elimination,[],[f13]) ).
thf(f15,plain,
( ( ^ [X0: $i > $i > $o] :
~ ( cCKB_INF @ X0 ) )
= cCKB_FIN ),
inference(rectify,[],[f4]) ).
thf(f16,plain,
( cCKB_FIN
= ( ^ [Y0: $i > $i > $o] :
~ ( cCKB_INF @ Y0 ) ) ),
inference(fool_elimination,[],[f15]) ).
thf(f17,plain,
( ( cCKB_FIN
@ ^ [Y0: $i,Y1: $i] :
( ( c1 = Y0 )
& ( c1 = Y1 ) ) )
!= $true ),
inference(flattening,[],[f14]) ).
thf(f18,plain,
( cCKB_FIN
= ( ^ [Y0: $i > $i > $o] :
~ ( cCKB_INF @ Y0 ) ) ),
inference(cnf_transformation,[],[f16]) ).
thf(f19,plain,
( cCKB_XPL
= ( ^ [Y0: $i > $i > $i > $i > $o,Y1: $i > $i > $o,Y2: $i,Y3: $i] :
( ( !! @ $i
@ ^ [Y4: $i] :
( !! @ $i
@ ^ [Y5: $i] :
( ( Y1 @ Y4 @ Y5 )
=> ( ?? @ $i
@ ^ [Y6: $i] :
( ?? @ $i
@ ^ [Y7: $i] :
( ( Y1 @ Y7 @ Y6 )
& ( Y0 @ Y4 @ Y5 @ Y7 @ Y6 )
& ~ ( ( Y3 = Y6 )
& ( Y2 = Y7 ) ) ) ) ) ) ) )
& ( Y1 @ Y2 @ Y3 ) ) ) ),
inference(cnf_transformation,[],[f8]) ).
thf(f20,plain,
( cCKB_INJ
= ( ^ [Y0: $i > $i > $i > $i > $o] :
( !! @ $i
@ ^ [Y1: $i] :
( !! @ $i
@ ^ [Y2: $i] :
( !! @ $i
@ ^ [Y3: $i] :
( !! @ $i
@ ^ [Y4: $i] :
( !! @ $i
@ ^ [Y5: $i] :
( !! @ $i
@ ^ [Y6: $i] :
( ( ( Y0 @ Y1 @ Y4 @ Y5 @ Y3 )
& ( Y0 @ Y2 @ Y6 @ Y5 @ Y3 ) )
=> ( ( Y6 = Y4 )
& ( Y2 = Y1 ) ) ) ) ) ) ) ) ) ) ),
inference(cnf_transformation,[],[f12]) ).
thf(f21,plain,
( cCKB_INF
= ( ^ [Y0: $i > $i > $o] :
( ?? @ ( $i > $i > $i > $i > $o )
@ ^ [Y1: $i > $i > $i > $i > $o] :
( ?? @ $i
@ ^ [Y2: $i] :
( ?? @ $i
@ ^ [Y3: $i] :
( ( cCKB_INJ @ Y1 )
& ( cCKB_XPL @ Y1 @ Y0 @ Y2 @ Y3 ) ) ) ) ) ) ),
inference(cnf_transformation,[],[f10]) ).
thf(f22,plain,
( ( cCKB_FIN
@ ^ [Y0: $i,Y1: $i] :
( ( c1 = Y0 )
& ( c1 = Y1 ) ) )
!= $true ),
inference(cnf_transformation,[],[f17]) ).
thf(f25,plain,
( cCKB_INF
= ( ^ [Y0: $i > $i > $o] :
( ?? @ ( $i > $i > $i > $i > $o )
@ ^ [Y1: $i > $i > $i > $i > $o] :
( ?? @ $i
@ ^ [Y2: $i] :
( ?? @ $i
@ ^ [Y3: $i] :
( ( ^ [Y4: $i > $i > $i > $i > $o] :
( !! @ $i
@ ^ [Y5: $i] :
( !! @ $i
@ ^ [Y6: $i] :
( !! @ $i
@ ^ [Y7: $i] :
( !! @ $i
@ ^ [Y8: $i] :
( !! @ $i
@ ^ [Y9: $i] :
( !! @ $i
@ ^ [Y10: $i] :
( ( ( Y4 @ Y5 @ Y8 @ Y9 @ Y7 )
& ( Y4 @ Y6 @ Y10 @ Y9 @ Y7 ) )
=> ( ( Y10 = Y8 )
& ( Y6 = Y5 ) ) ) ) ) ) ) ) )
@ Y1 )
& ( ^ [Y4: $i > $i > $i > $i > $o,Y5: $i > $i > $o,Y6: $i,Y7: $i] :
( ( !! @ $i
@ ^ [Y8: $i] :
( !! @ $i
@ ^ [Y9: $i] :
( ( Y5 @ Y8 @ Y9 )
=> ( ?? @ $i
@ ^ [Y10: $i] :
( ?? @ $i
@ ^ [Y11: $i] :
( ( Y5 @ Y11 @ Y10 )
& ( Y4 @ Y8 @ Y9 @ Y11 @ Y10 )
& ~ ( ( Y7 = Y10 )
& ( Y6 = Y11 ) ) ) ) ) ) ) )
& ( Y5 @ Y6 @ Y7 ) )
@ Y1
@ Y0
@ Y2
@ Y3 ) ) ) ) ) ) ),
inference(definition_unfolding,[],[f21,f20,f19]) ).
thf(f26,plain,
( cCKB_FIN
= ( ^ [Y0: $i > $i > $o] :
~ ( ^ [Y1: $i > $i > $o] :
( ?? @ ( $i > $i > $i > $i > $o )
@ ^ [Y2: $i > $i > $i > $i > $o] :
( ?? @ $i
@ ^ [Y3: $i] :
( ?? @ $i
@ ^ [Y4: $i] :
( ( ^ [Y5: $i > $i > $i > $i > $o] :
( !! @ $i
@ ^ [Y6: $i] :
( !! @ $i
@ ^ [Y7: $i] :
( !! @ $i
@ ^ [Y8: $i] :
( !! @ $i
@ ^ [Y9: $i] :
( !! @ $i
@ ^ [Y10: $i] :
( !! @ $i
@ ^ [Y11: $i] :
( ( ( Y5 @ Y6 @ Y9 @ Y10 @ Y8 )
& ( Y5 @ Y7 @ Y11 @ Y10 @ Y8 ) )
=> ( ( Y11 = Y9 )
& ( Y7 = Y6 ) ) ) ) ) ) ) ) )
@ Y2 )
& ( ^ [Y5: $i > $i > $i > $i > $o,Y6: $i > $i > $o,Y7: $i,Y8: $i] :
( ( !! @ $i
@ ^ [Y9: $i] :
( !! @ $i
@ ^ [Y10: $i] :
( ( Y6 @ Y9 @ Y10 )
=> ( ?? @ $i
@ ^ [Y11: $i] :
( ?? @ $i
@ ^ [Y12: $i] :
( ( Y6 @ Y12 @ Y11 )
& ( Y5 @ Y9 @ Y10 @ Y12 @ Y11 )
& ~ ( ( Y8 = Y11 )
& ( Y7 = Y12 ) ) ) ) ) ) ) )
& ( Y6 @ Y7 @ Y8 ) )
@ Y2
@ Y1
@ Y3
@ Y4 ) ) ) ) )
@ Y0 ) ) ),
inference(definition_unfolding,[],[f18,f25]) ).
thf(f27,plain,
( ( ^ [Y0: $i > $i > $o] :
~ ( ^ [Y1: $i > $i > $o] :
( ?? @ ( $i > $i > $i > $i > $o )
@ ^ [Y2: $i > $i > $i > $i > $o] :
( ?? @ $i
@ ^ [Y3: $i] :
( ?? @ $i
@ ^ [Y4: $i] :
( ( ^ [Y5: $i > $i > $i > $i > $o] :
( !! @ $i
@ ^ [Y6: $i] :
( !! @ $i
@ ^ [Y7: $i] :
( !! @ $i
@ ^ [Y8: $i] :
( !! @ $i
@ ^ [Y9: $i] :
( !! @ $i
@ ^ [Y10: $i] :
( !! @ $i
@ ^ [Y11: $i] :
( ( ( Y5 @ Y6 @ Y9 @ Y10 @ Y8 )
& ( Y5 @ Y7 @ Y11 @ Y10 @ Y8 ) )
=> ( ( Y11 = Y9 )
& ( Y7 = Y6 ) ) ) ) ) ) ) ) )
@ Y2 )
& ( ^ [Y5: $i > $i > $i > $i > $o,Y6: $i > $i > $o,Y7: $i,Y8: $i] :
( ( !! @ $i
@ ^ [Y9: $i] :
( !! @ $i
@ ^ [Y10: $i] :
( ( Y6 @ Y9 @ Y10 )
=> ( ?? @ $i
@ ^ [Y11: $i] :
( ?? @ $i
@ ^ [Y12: $i] :
( ( Y6 @ Y12 @ Y11 )
& ( Y5 @ Y9 @ Y10 @ Y12 @ Y11 )
& ~ ( ( Y8 = Y11 )
& ( Y7 = Y12 ) ) ) ) ) ) ) )
& ( Y6 @ Y7 @ Y8 ) )
@ Y2
@ Y1
@ Y3
@ Y4 ) ) ) ) )
@ Y0 )
@ ^ [Y0: $i,Y1: $i] :
( ( c1 = Y0 )
& ( c1 = Y1 ) ) )
!= $true ),
inference(definition_unfolding,[],[f22,f26]) ).
thf(f28,plain,
( ( ~ ( ?? @ ( $i > $i > $i > $i > $o )
@ ^ [Y0: $i > $i > $i > $i > $o] :
( ?? @ $i
@ ^ [Y1: $i] :
( ?? @ $i
@ ^ [Y2: $i] :
( ( !! @ $i
@ ^ [Y3: $i] :
( !! @ $i
@ ^ [Y4: $i] :
( !! @ $i
@ ^ [Y5: $i] :
( !! @ $i
@ ^ [Y6: $i] :
( !! @ $i
@ ^ [Y7: $i] :
( !! @ $i
@ ^ [Y8: $i] :
( ( ( Y0 @ Y3 @ Y6 @ Y7 @ Y5 )
& ( Y0 @ Y4 @ Y8 @ Y7 @ Y5 ) )
=> ( ( Y8 = Y6 )
& ( Y4 = Y3 ) ) ) ) ) ) ) ) )
& ( !! @ $i
@ ^ [Y3: $i] :
( !! @ $i
@ ^ [Y4: $i] :
( ( ( c1 = Y3 )
& ( c1 = Y4 ) )
=> ( ?? @ $i
@ ^ [Y5: $i] :
( ?? @ $i
@ ^ [Y6: $i] :
( ( c1 = Y6 )
& ( c1 = Y5 )
& ( Y0 @ Y3 @ Y4 @ Y6 @ Y5 )
& ~ ( ( Y2 = Y5 )
& ( Y1 = Y6 ) ) ) ) ) ) ) )
& ( c1 = Y1 )
& ( c1 = Y2 ) ) ) ) ) )
!= $true ),
inference(beta-eta_normalization,[],[f27]) ).
thf(f29,plain,
( ( ?? @ ( $i > $i > $i > $i > $o )
@ ^ [Y0: $i > $i > $i > $i > $o] :
( ?? @ $i
@ ^ [Y1: $i] :
( ?? @ $i
@ ^ [Y2: $i] :
( ( !! @ $i
@ ^ [Y3: $i] :
( !! @ $i
@ ^ [Y4: $i] :
( !! @ $i
@ ^ [Y5: $i] :
( !! @ $i
@ ^ [Y6: $i] :
( !! @ $i
@ ^ [Y7: $i] :
( !! @ $i
@ ^ [Y8: $i] :
( ( ( Y0 @ Y3 @ Y6 @ Y7 @ Y5 )
& ( Y0 @ Y4 @ Y8 @ Y7 @ Y5 ) )
=> ( ( Y8 = Y6 )
& ( Y4 = Y3 ) ) ) ) ) ) ) ) )
& ( !! @ $i
@ ^ [Y3: $i] :
( !! @ $i
@ ^ [Y4: $i] :
( ( ( c1 = Y3 )
& ( c1 = Y4 ) )
=> ( ?? @ $i
@ ^ [Y5: $i] :
( ?? @ $i
@ ^ [Y6: $i] :
( ( c1 = Y6 )
& ( c1 = Y5 )
& ( Y0 @ Y3 @ Y4 @ Y6 @ Y5 )
& ~ ( ( Y2 = Y5 )
& ( Y1 = Y6 ) ) ) ) ) ) ) )
& ( c1 = Y1 )
& ( c1 = Y2 ) ) ) ) )
= $true ),
inference(not_proxy_clausification,[],[f28]) ).
thf(f30,plain,
( ( ^ [Y0: $i > $i > $i > $i > $o] :
( ?? @ $i
@ ^ [Y1: $i] :
( ?? @ $i
@ ^ [Y2: $i] :
( ( !! @ $i
@ ^ [Y3: $i] :
( !! @ $i
@ ^ [Y4: $i] :
( !! @ $i
@ ^ [Y5: $i] :
( !! @ $i
@ ^ [Y6: $i] :
( !! @ $i
@ ^ [Y7: $i] :
( !! @ $i
@ ^ [Y8: $i] :
( ( ( Y0 @ Y3 @ Y6 @ Y7 @ Y5 )
& ( Y0 @ Y4 @ Y8 @ Y7 @ Y5 ) )
=> ( ( Y8 = Y6 )
& ( Y4 = Y3 ) ) ) ) ) ) ) ) )
& ( !! @ $i
@ ^ [Y3: $i] :
( !! @ $i
@ ^ [Y4: $i] :
( ( ( c1 = Y3 )
& ( c1 = Y4 ) )
=> ( ?? @ $i
@ ^ [Y5: $i] :
( ?? @ $i
@ ^ [Y6: $i] :
( ( c1 = Y6 )
& ( c1 = Y5 )
& ( Y0 @ Y3 @ Y4 @ Y6 @ Y5 )
& ~ ( ( Y2 = Y5 )
& ( Y1 = Y6 ) ) ) ) ) ) ) )
& ( c1 = Y1 )
& ( c1 = Y2 ) ) ) )
@ sK0 )
= $true ),
inference(sigma_proxy_clausification,[],[f29]) ).
thf(f31,plain,
( ( ?? @ $i
@ ^ [Y0: $i] :
( ?? @ $i
@ ^ [Y1: $i] :
( ( !! @ $i
@ ^ [Y2: $i] :
( !! @ $i
@ ^ [Y3: $i] :
( !! @ $i
@ ^ [Y4: $i] :
( !! @ $i
@ ^ [Y5: $i] :
( !! @ $i
@ ^ [Y6: $i] :
( !! @ $i
@ ^ [Y7: $i] :
( ( ( sK0 @ Y2 @ Y5 @ Y6 @ Y4 )
& ( sK0 @ Y3 @ Y7 @ Y6 @ Y4 ) )
=> ( ( Y7 = Y5 )
& ( Y3 = Y2 ) ) ) ) ) ) ) ) )
& ( !! @ $i
@ ^ [Y2: $i] :
( !! @ $i
@ ^ [Y3: $i] :
( ( ( c1 = Y2 )
& ( c1 = Y3 ) )
=> ( ?? @ $i
@ ^ [Y4: $i] :
( ?? @ $i
@ ^ [Y5: $i] :
( ( c1 = Y5 )
& ( c1 = Y4 )
& ( sK0 @ Y2 @ Y3 @ Y5 @ Y4 )
& ~ ( ( Y1 = Y4 )
& ( Y0 = Y5 ) ) ) ) ) ) ) )
& ( c1 = Y0 )
& ( c1 = Y1 ) ) ) )
= $true ),
inference(beta-eta_normalization,[],[f30]) ).
thf(f32,plain,
( ( ^ [Y0: $i] :
( ?? @ $i
@ ^ [Y1: $i] :
( ( !! @ $i
@ ^ [Y2: $i] :
( !! @ $i
@ ^ [Y3: $i] :
( !! @ $i
@ ^ [Y4: $i] :
( !! @ $i
@ ^ [Y5: $i] :
( !! @ $i
@ ^ [Y6: $i] :
( !! @ $i
@ ^ [Y7: $i] :
( ( ( sK0 @ Y2 @ Y5 @ Y6 @ Y4 )
& ( sK0 @ Y3 @ Y7 @ Y6 @ Y4 ) )
=> ( ( Y7 = Y5 )
& ( Y3 = Y2 ) ) ) ) ) ) ) ) )
& ( !! @ $i
@ ^ [Y2: $i] :
( !! @ $i
@ ^ [Y3: $i] :
( ( ( c1 = Y2 )
& ( c1 = Y3 ) )
=> ( ?? @ $i
@ ^ [Y4: $i] :
( ?? @ $i
@ ^ [Y5: $i] :
( ( c1 = Y5 )
& ( c1 = Y4 )
& ( sK0 @ Y2 @ Y3 @ Y5 @ Y4 )
& ~ ( ( Y1 = Y4 )
& ( Y0 = Y5 ) ) ) ) ) ) ) )
& ( c1 = Y0 )
& ( c1 = Y1 ) ) )
@ sK1 )
= $true ),
inference(sigma_proxy_clausification,[],[f31]) ).
thf(f33,plain,
( ( ?? @ $i
@ ^ [Y0: $i] :
( ( !! @ $i
@ ^ [Y1: $i] :
( !! @ $i
@ ^ [Y2: $i] :
( !! @ $i
@ ^ [Y3: $i] :
( !! @ $i
@ ^ [Y4: $i] :
( !! @ $i
@ ^ [Y5: $i] :
( !! @ $i
@ ^ [Y6: $i] :
( ( ( sK0 @ Y1 @ Y4 @ Y5 @ Y3 )
& ( sK0 @ Y2 @ Y6 @ Y5 @ Y3 ) )
=> ( ( Y6 = Y4 )
& ( Y2 = Y1 ) ) ) ) ) ) ) ) )
& ( !! @ $i
@ ^ [Y1: $i] :
( !! @ $i
@ ^ [Y2: $i] :
( ( ( c1 = Y1 )
& ( c1 = Y2 ) )
=> ( ?? @ $i
@ ^ [Y3: $i] :
( ?? @ $i
@ ^ [Y4: $i] :
( ( c1 = Y4 )
& ( c1 = Y3 )
& ( sK0 @ Y1 @ Y2 @ Y4 @ Y3 )
& ~ ( ( Y0 = Y3 )
& ( sK1 = Y4 ) ) ) ) ) ) ) )
& ( c1 = sK1 )
& ( c1 = Y0 ) ) )
= $true ),
inference(beta-eta_normalization,[],[f32]) ).
thf(f34,plain,
( $true
= ( ^ [Y0: $i] :
( ( !! @ $i
@ ^ [Y1: $i] :
( !! @ $i
@ ^ [Y2: $i] :
( !! @ $i
@ ^ [Y3: $i] :
( !! @ $i
@ ^ [Y4: $i] :
( !! @ $i
@ ^ [Y5: $i] :
( !! @ $i
@ ^ [Y6: $i] :
( ( ( sK0 @ Y1 @ Y4 @ Y5 @ Y3 )
& ( sK0 @ Y2 @ Y6 @ Y5 @ Y3 ) )
=> ( ( Y6 = Y4 )
& ( Y2 = Y1 ) ) ) ) ) ) ) ) )
& ( !! @ $i
@ ^ [Y1: $i] :
( !! @ $i
@ ^ [Y2: $i] :
( ( ( c1 = Y1 )
& ( c1 = Y2 ) )
=> ( ?? @ $i
@ ^ [Y3: $i] :
( ?? @ $i
@ ^ [Y4: $i] :
( ( c1 = Y4 )
& ( c1 = Y3 )
& ( sK0 @ Y1 @ Y2 @ Y4 @ Y3 )
& ~ ( ( Y0 = Y3 )
& ( sK1 = Y4 ) ) ) ) ) ) ) )
& ( c1 = sK1 )
& ( c1 = Y0 ) )
@ sK2 ) ),
inference(sigma_proxy_clausification,[],[f33]) ).
thf(f35,plain,
( $true
= ( ( !! @ $i
@ ^ [Y0: $i] :
( !! @ $i
@ ^ [Y1: $i] :
( !! @ $i
@ ^ [Y2: $i] :
( !! @ $i
@ ^ [Y3: $i] :
( !! @ $i
@ ^ [Y4: $i] :
( !! @ $i
@ ^ [Y5: $i] :
( ( ( sK0 @ Y0 @ Y3 @ Y4 @ Y2 )
& ( sK0 @ Y1 @ Y5 @ Y4 @ Y2 ) )
=> ( ( Y5 = Y3 )
& ( Y1 = Y0 ) ) ) ) ) ) ) ) )
& ( !! @ $i
@ ^ [Y0: $i] :
( !! @ $i
@ ^ [Y1: $i] :
( ( ( c1 = Y0 )
& ( c1 = Y1 ) )
=> ( ?? @ $i
@ ^ [Y2: $i] :
( ?? @ $i
@ ^ [Y3: $i] :
( ( c1 = Y3 )
& ( c1 = Y2 )
& ( sK0 @ Y0 @ Y1 @ Y3 @ Y2 )
& ~ ( ( sK2 = Y2 )
& ( sK1 = Y3 ) ) ) ) ) ) ) )
& ( c1 = sK1 )
& ( c1 = sK2 ) ) ),
inference(beta-eta_normalization,[],[f34]) ).
thf(f36,plain,
( ( ( !! @ $i
@ ^ [Y0: $i] :
( !! @ $i
@ ^ [Y1: $i] :
( ( ( c1 = Y0 )
& ( c1 = Y1 ) )
=> ( ?? @ $i
@ ^ [Y2: $i] :
( ?? @ $i
@ ^ [Y3: $i] :
( ( c1 = Y3 )
& ( c1 = Y2 )
& ( sK0 @ Y0 @ Y1 @ Y3 @ Y2 )
& ~ ( ( sK2 = Y2 )
& ( sK1 = Y3 ) ) ) ) ) ) ) )
& ( c1 = sK1 )
& ( c1 = sK2 ) )
= $true ),
inference(and_proxy_clausification,[],[f35]) ).
thf(f56,plain,
( $true
= ( ( c1 = sK1 )
& ( c1 = sK2 ) ) ),
inference(and_proxy_clausification,[],[f36]) ).
thf(f57,plain,
( ( !! @ $i
@ ^ [Y0: $i] :
( !! @ $i
@ ^ [Y1: $i] :
( ( ( c1 = Y0 )
& ( c1 = Y1 ) )
=> ( ?? @ $i
@ ^ [Y2: $i] :
( ?? @ $i
@ ^ [Y3: $i] :
( ( c1 = Y3 )
& ( c1 = Y2 )
& ( sK0 @ Y0 @ Y1 @ Y3 @ Y2 )
& ~ ( ( sK2 = Y2 )
& ( sK1 = Y3 ) ) ) ) ) ) ) )
= $true ),
inference(and_proxy_clausification,[],[f36]) ).
thf(f58,plain,
! [X1: $i] :
( $true
= ( ^ [Y0: $i] :
( !! @ $i
@ ^ [Y1: $i] :
( ( ( c1 = Y0 )
& ( c1 = Y1 ) )
=> ( ?? @ $i
@ ^ [Y2: $i] :
( ?? @ $i
@ ^ [Y3: $i] :
( ( c1 = Y3 )
& ( c1 = Y2 )
& ( sK0 @ Y0 @ Y1 @ Y3 @ Y2 )
& ~ ( ( sK2 = Y2 )
& ( sK1 = Y3 ) ) ) ) ) ) )
@ X1 ) ),
inference(pi_proxy_clausification,[],[f57]) ).
thf(f59,plain,
! [X1: $i] :
( ( !! @ $i
@ ^ [Y0: $i] :
( ( ( c1 = X1 )
& ( c1 = Y0 ) )
=> ( ?? @ $i
@ ^ [Y1: $i] :
( ?? @ $i
@ ^ [Y2: $i] :
( ( c1 = Y2 )
& ( c1 = Y1 )
& ( sK0 @ X1 @ Y0 @ Y2 @ Y1 )
& ~ ( ( sK2 = Y1 )
& ( sK1 = Y2 ) ) ) ) ) ) )
= $true ),
inference(beta-eta_normalization,[],[f58]) ).
thf(f60,plain,
! [X2: $i,X1: $i] :
( $true
= ( ^ [Y0: $i] :
( ( ( c1 = X1 )
& ( c1 = Y0 ) )
=> ( ?? @ $i
@ ^ [Y1: $i] :
( ?? @ $i
@ ^ [Y2: $i] :
( ( c1 = Y2 )
& ( c1 = Y1 )
& ( sK0 @ X1 @ Y0 @ Y2 @ Y1 )
& ~ ( ( sK2 = Y1 )
& ( sK1 = Y2 ) ) ) ) ) )
@ X2 ) ),
inference(pi_proxy_clausification,[],[f59]) ).
thf(f61,plain,
! [X2: $i,X1: $i] :
( $true
= ( ( ( c1 = X1 )
& ( c1 = X2 ) )
=> ( ?? @ $i
@ ^ [Y0: $i] :
( ?? @ $i
@ ^ [Y1: $i] :
( ( c1 = Y1 )
& ( c1 = Y0 )
& ( sK0 @ X1 @ X2 @ Y1 @ Y0 )
& ~ ( ( sK2 = Y0 )
& ( sK1 = Y1 ) ) ) ) ) ) ),
inference(beta-eta_normalization,[],[f60]) ).
thf(f62,plain,
! [X2: $i,X1: $i] :
( ( ( ?? @ $i
@ ^ [Y0: $i] :
( ?? @ $i
@ ^ [Y1: $i] :
( ( c1 = Y1 )
& ( c1 = Y0 )
& ( sK0 @ X1 @ X2 @ Y1 @ Y0 )
& ~ ( ( sK2 = Y0 )
& ( sK1 = Y1 ) ) ) ) )
= $true )
| ( $false
= ( ( c1 = X1 )
& ( c1 = X2 ) ) ) ),
inference(imp_proxy_clausification,[],[f61]) ).
thf(f63,plain,
! [X2: $i,X1: $i] :
( ( $true
= ( ^ [Y0: $i] :
( ?? @ $i
@ ^ [Y1: $i] :
( ( c1 = Y1 )
& ( c1 = Y0 )
& ( sK0 @ X1 @ X2 @ Y1 @ Y0 )
& ~ ( ( sK2 = Y0 )
& ( sK1 = Y1 ) ) ) )
@ ( sK3 @ X1 @ X2 ) ) )
| ( $false
= ( ( c1 = X1 )
& ( c1 = X2 ) ) ) ),
inference(sigma_proxy_clausification,[],[f62]) ).
thf(f64,plain,
! [X2: $i,X1: $i] :
( ( $false
= ( c1 = X1 ) )
| ( $true
= ( ^ [Y0: $i] :
( ?? @ $i
@ ^ [Y1: $i] :
( ( c1 = Y1 )
& ( c1 = Y0 )
& ( sK0 @ X1 @ X2 @ Y1 @ Y0 )
& ~ ( ( sK2 = Y0 )
& ( sK1 = Y1 ) ) ) )
@ ( sK3 @ X1 @ X2 ) ) )
| ( $false
= ( c1 = X2 ) ) ),
inference(and_proxy_clausification,[],[f63]) ).
thf(f65,plain,
! [X2: $i,X1: $i] :
( ( $true
= ( ^ [Y0: $i] :
( ?? @ $i
@ ^ [Y1: $i] :
( ( c1 = Y1 )
& ( c1 = Y0 )
& ( sK0 @ X1 @ X2 @ Y1 @ Y0 )
& ~ ( ( sK2 = Y0 )
& ( sK1 = Y1 ) ) ) )
@ ( sK3 @ X1 @ X2 ) ) )
| ( c1 != X1 )
| ( $false
= ( c1 = X2 ) ) ),
inference(equality_proxy_clausification,[],[f64]) ).
thf(f66,plain,
! [X2: $i,X1: $i] :
( ( c1 != X1 )
| ( c1 != X2 )
| ( $true
= ( ^ [Y0: $i] :
( ?? @ $i
@ ^ [Y1: $i] :
( ( c1 = Y1 )
& ( c1 = Y0 )
& ( sK0 @ X1 @ X2 @ Y1 @ Y0 )
& ~ ( ( sK2 = Y0 )
& ( sK1 = Y1 ) ) ) )
@ ( sK3 @ X1 @ X2 ) ) ) ),
inference(equality_proxy_clausification,[],[f65]) ).
thf(f67,plain,
! [X2: $i,X1: $i] :
( ( $true
= ( ?? @ $i
@ ^ [Y0: $i] :
( ( c1 = Y0 )
& ( c1
= ( sK3 @ X1 @ X2 ) )
& ( sK0 @ X1 @ X2 @ Y0 @ ( sK3 @ X1 @ X2 ) )
& ~ ( ( sK2
= ( sK3 @ X1 @ X2 ) )
& ( sK1 = Y0 ) ) ) ) )
| ( c1 != X1 )
| ( c1 != X2 ) ),
inference(beta-eta_normalization,[],[f66]) ).
thf(f68,plain,
! [X2: $i,X1: $i] :
( ( c1 != X2 )
| ( c1 != X1 )
| ( ( ^ [Y0: $i] :
( ( c1 = Y0 )
& ( c1
= ( sK3 @ X1 @ X2 ) )
& ( sK0 @ X1 @ X2 @ Y0 @ ( sK3 @ X1 @ X2 ) )
& ~ ( ( sK2
= ( sK3 @ X1 @ X2 ) )
& ( sK1 = Y0 ) ) )
@ ( sK4 @ X1 @ X2 ) )
= $true ) ),
inference(sigma_proxy_clausification,[],[f67]) ).
thf(f69,plain,
! [X2: $i,X1: $i] :
( ( c1 != X2 )
| ( $true
= ( ( c1
= ( sK4 @ X1 @ X2 ) )
& ( c1
= ( sK3 @ X1 @ X2 ) )
& ( sK0 @ X1 @ X2 @ ( sK4 @ X1 @ X2 ) @ ( sK3 @ X1 @ X2 ) )
& ~ ( ( sK2
= ( sK3 @ X1 @ X2 ) )
& ( sK1
= ( sK4 @ X1 @ X2 ) ) ) ) )
| ( c1 != X1 ) ),
inference(beta-eta_normalization,[],[f68]) ).
thf(f70,plain,
! [X2: $i,X1: $i] :
( ( c1 != X2 )
| ( c1 != X1 )
| ( ( ~ ( ( sK2
= ( sK3 @ X1 @ X2 ) )
& ( sK1
= ( sK4 @ X1 @ X2 ) ) ) )
= $true ) ),
inference(and_proxy_clausification,[],[f69]) ).
thf(f71,plain,
! [X2: $i,X1: $i] :
( ( c1 != X1 )
| ( c1 != X2 )
| ( ( ( c1
= ( sK4 @ X1 @ X2 ) )
& ( c1
= ( sK3 @ X1 @ X2 ) )
& ( sK0 @ X1 @ X2 @ ( sK4 @ X1 @ X2 ) @ ( sK3 @ X1 @ X2 ) ) )
= $true ) ),
inference(and_proxy_clausification,[],[f69]) ).
thf(f73,plain,
! [X2: $i,X1: $i] :
( ( c1 != X1 )
| ( $true
= ( ( c1
= ( sK4 @ X1 @ X2 ) )
& ( c1
= ( sK3 @ X1 @ X2 ) ) ) )
| ( c1 != X2 ) ),
inference(and_proxy_clausification,[],[f71]) ).
thf(f74,plain,
! [X2: $i,X1: $i] :
( ( c1 != X1 )
| ( c1 != X2 )
| ( ( c1
= ( sK3 @ X1 @ X2 ) )
= $true ) ),
inference(and_proxy_clausification,[],[f73]) ).
thf(f75,plain,
! [X2: $i,X1: $i] :
( ( $true
= ( c1
= ( sK4 @ X1 @ X2 ) ) )
| ( c1 != X1 )
| ( c1 != X2 ) ),
inference(and_proxy_clausification,[],[f73]) ).
thf(f76,plain,
! [X2: $i,X1: $i] :
( ( c1 != X1 )
| ( c1 != X2 )
| ( c1
= ( sK4 @ X1 @ X2 ) ) ),
inference(equality_proxy_clausification,[],[f75]) ).
thf(f77,plain,
! [X2: $i,X1: $i] :
( ( c1 != X2 )
| ( c1
= ( sK3 @ X1 @ X2 ) )
| ( c1 != X1 ) ),
inference(equality_proxy_clausification,[],[f74]) ).
thf(f78,plain,
! [X2: $i,X1: $i] :
( ( c1 != X2 )
| ( c1 != X1 )
| ( $false
= ( ( sK2
= ( sK3 @ X1 @ X2 ) )
& ( sK1
= ( sK4 @ X1 @ X2 ) ) ) ) ),
inference(not_proxy_clausification,[],[f70]) ).
thf(f79,plain,
! [X2: $i,X1: $i] :
( ( c1 != X2 )
| ( $false
= ( sK2
= ( sK3 @ X1 @ X2 ) ) )
| ( $false
= ( sK1
= ( sK4 @ X1 @ X2 ) ) )
| ( c1 != X1 ) ),
inference(and_proxy_clausification,[],[f78]) ).
thf(f80,plain,
! [X2: $i,X1: $i] :
( ( $false
= ( sK1
= ( sK4 @ X1 @ X2 ) ) )
| ( sK2
!= ( sK3 @ X1 @ X2 ) )
| ( c1 != X2 )
| ( c1 != X1 ) ),
inference(equality_proxy_clausification,[],[f79]) ).
thf(f81,plain,
! [X2: $i,X1: $i] :
( ( sK2
!= ( sK3 @ X1 @ X2 ) )
| ( c1 != X2 )
| ( sK1
!= ( sK4 @ X1 @ X2 ) )
| ( c1 != X1 ) ),
inference(equality_proxy_clausification,[],[f80]) ).
thf(f82,plain,
( $true
= ( c1 = sK2 ) ),
inference(and_proxy_clausification,[],[f56]) ).
thf(f83,plain,
( ( c1 = sK1 )
= $true ),
inference(and_proxy_clausification,[],[f56]) ).
thf(f84,plain,
c1 = sK1,
inference(equality_proxy_clausification,[],[f83]) ).
thf(f85,plain,
c1 = sK2,
inference(equality_proxy_clausification,[],[f82]) ).
thf(f86,plain,
! [X2: $i,X1: $i] :
( ( c1 != X1 )
| ( c1
!= ( sK4 @ X1 @ X2 ) )
| ( c1 != X2 )
| ( sK2
!= ( sK3 @ X1 @ X2 ) ) ),
inference(backward_demodulation,[],[f81,f84]) ).
thf(f87,plain,
! [X2: $i,X1: $i] :
( ( sK2
!= ( sK3 @ X1 @ X2 ) )
| ( c1 != X1 )
| ( c1 != X2 ) ),
inference(forward_subsumption_resolution,[],[f86,f76]) ).
thf(f88,plain,
! [X2: $i,X1: $i] :
( ( c1 != X1 )
| ( c1
!= ( sK3 @ X1 @ X2 ) )
| ( c1 != X2 ) ),
inference(forward_demodulation,[],[f87,f85]) ).
thf(f89,plain,
! [X2: $i,X1: $i] :
( ( c1 != X2 )
| ( c1 != X1 ) ),
inference(forward_subsumption_resolution,[],[f88,f77]) ).
thf(f91,definition,
( spl5_1
<=> ! [X1: $i] : ( c1 != X1 ) ),
introduced(definition,[new_symbols(definition,[spl5_1])],[avatar_definition]) ).
thf(f92,plain,
( ! [X1: $i] : ( c1 != X1 )
| ~ spl5_1 ),
inference(avatar_component_clause,[],[f91]) ).
thf(f93,plain,
( spl5_1
| spl5_1 ),
inference(avatar_split_clause,[],[f89,f91,f91]) ).
thf(f98,plain,
( $false
| ~ spl5_1 ),
inference(equality_resolution,[],[f92]) ).
thf(f99,plain,
~ spl5_1,
inference(avatar_contradiction_clause,[],[f98]) ).
cnf(s1,plain,
( spl5_1
| spl5_1 ),
inference(sat_conversion,[],[f93]) ).
cnf(s2,plain,
spl5_1,
inference(rat,[],[s1]) ).
cnf(s3,plain,
~ spl5_1,
inference(sat_conversion,[],[f99]) ).
cnf(s4,plain,
$false,
inference(rat,[],[s2,s3]) ).
thf(f100,plain,
$false,
inference(avatar_sat_refutation,[],[s4]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.04 % Problem : PUZ107^5 : TPTP v9.3.1. Bugfixed v6.2.0.
% 0.00/0.08 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.12/0.28 % Computer : n004.cluster.edu
% 0.12/0.28 % Model : x86_64 x86_64
% 0.12/0.28 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.28 % Memory : 8046.5625MB
% 0.12/0.28 % OS : Linux 6.8.0-71-generic
% 0.12/0.28 % CPULimit : 300
% 0.12/0.28 % WCLimit : 300
% 0.12/0.28 % DateTime : Tue Sep 29 13:23:22 UTC 2026
% 0.12/0.28 % CPUTime :
% 0.12/0.28 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.29/0.34 Running higher-order theorem proving
% 0.29/0.36 Running: /export/starexec/sandbox2/solver/bin/vampire-ho --input_syntax tptp --output_axiom_names on --mode casc -m 16384 --cores 7 -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.35/0.41 % (1265049)Detected a higher-order problem, will run a greedy HOL sequence.
% 0.35/0.41 % (1265059)lrs+10_1_to=lpo:sil=128000:e2e=on:si=on:random_seed=3857438455:s2a=on:i=75:s2at=3:aac=none:bd=preordered:rtra=on:fe=abstraction_2999 on theBenchmark for (2999ds/75Mi)
% 0.35/0.41 % (1265059) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-1265049-1265059"...
% 0.35/0.41 % (1265060)WARNING Broken Constraint: if ho_split_queue_ratios(1,8) has been set then ho_split_queue(off) is equal to on
% 0.35/0.41 % (1265060)WARNING Broken Constraint: if sine_to_age_tolerance(5) has been set then sine_to_age(off) is equal to on or sine_to_pred_levels(off) is not equal to off or sine_level_split_queue(off) is equal to on
% 0.35/0.41 % (1265059)...printing done.
% 0.35/0.41 % (1265059)Refutation found. Thanks to Tanya!
% 0.35/0.41 % SZS status Theorem for theBenchmark
% 0.35/0.41 % SZS output start Proof for theBenchmark
% See solution above
% 0.35/0.42 % (1265059)------------------------------
% 0.35/0.42 % (1265059)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.35/0.42 % (1265059)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.35/0.42 % (1265059)CaDiCaL version: 2.1.3
% 0.35/0.42 % (1265059)Termination reason: Refutation
% 0.35/0.42 % (1265059)Time elapsed: 0.009 s
% 0.35/0.42 % (1265059)Peak memory usage: 13 MB
% 0.35/0.42 % (1265059)Instructions burned: 17 (million)
% 0.35/0.42 % (1265049)Success in time 0.044 s
% 0.35/0.42 % Vampire exiting
%------------------------------------------------------------------------------