%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : SEV223^5 : TPTP v9.3.1. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% Computer : n010.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 08:39:10 AM UTC 2026
% Result : Theorem 0.85s 0.42s
% Output : Refutation 0.85s
% Verified :
% SZS Type : Refutation
% Derivation depth : 32
% Number of leaves : 11
% Syntax : Number of formulae : 188 ( 15 unt; 0 typ; 10 def)
% Number of atoms : 1355 ( 418 equ; 0 cnn)
% Maximal formula atoms : 7 ( 7 avg)
% Number of connectives : 1705 ( 284 ~; 402 |; 170 &; 724 @)
% ( 10 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 11 ( 4 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of types : 3 ( 2 usr)
% Number of type conns : 178 ( 178 >; 0 *; 0 +; 0 <<)
% Number of symbols : 42 ( 38 usr; 17 con; 0-4 aty)
% ( 0 !!; 115 ??; 0 @@+; 0 @@-)
% Number of variables : 333 ( 0 sgn 100 !; 15 ?; 333 :)
% Comments :
%------------------------------------------------------------------------------
thf(type_def_5,type,
b: $tType ).
thf(type_def_6,type,
a: $tType ).
thf(type_def_7,type,
sTfun: ( $tType * $tType ) > $tType ).
thf(func_def_0,type,
f: b > a ).
thf(func_def_1,type,
w: ( b > $o ) > $o ).
thf(func_def_3,type,
vSIGMA:
!>[X0: $tType] : ( ( X0 > $o ) > $o ) ).
thf(func_def_4,type,
vAND: $o > $o > $o ).
thf(func_def_5,type,
db0:
!>[X0: $tType] : X0 ).
thf(func_def_6,type,
db1:
!>[X0: $tType] : X0 ).
thf(func_def_7,type,
vLAM:
!>[X0: $tType,X1: $tType] : ( X1 > X0 > X1 ) ).
thf(func_def_8,type,
vEQ:
!>[X0: $tType] : ( X0 > X0 > $o ) ).
thf(func_def_9,type,
db2:
!>[X0: $tType] : X0 ).
thf(func_def_12,type,
vNOT: $o > $o ).
thf(func_def_13,type,
sK0: a ).
thf(func_def_14,type,
sK1: b ).
thf(func_def_15,type,
sK2: a > $o ).
thf(func_def_16,type,
sK3: b > $o ).
thf(func_def_17,type,
sK4: b > $o ).
thf(func_def_18,type,
sK5: b > $o ).
thf(func_def_20,type,
sK7: ( a > $o ) > ( b > $o ) > a ).
thf(func_def_21,type,
sK8: ( a > $o ) > ( b > $o ) > b ).
thf(func_def_22,type,
sK9: a > b ).
thf(func_def_23,type,
sK10: ( a > $o ) > a ).
thf(func_def_24,type,
sK11: a > b ).
thf(func_def_25,type,
sK12: a ).
thf(func_def_26,type,
sK13: b ).
thf(func_def_27,type,
sK14: a > b ).
thf(func_def_28,type,
sK15: ( a > $o ) > ( b > $o ) > a ).
thf(func_def_29,type,
sK16: ( a > $o ) > ( b > $o ) > b ).
thf(func_def_30,type,
sK17: ( a > $o ) > a ).
thf(f1,conjecture,
( ( ^ [X0: a] :
? [X1: b] :
( ( X0
= ( f @ X1 ) )
& ? [X2: b > $o] :
( ( X2 @ X1 )
& ( w @ X2 ) ) ) )
= ( ^ [X3: a] :
? [X2: a > $o] :
( ( X2 @ X3 )
& ? [X1: b > $o] :
( ( X2
= ( ^ [X0: a] :
? [X4: b] :
( ( X0
= ( f @ X4 ) )
& ( X1 @ X4 ) ) ) )
& ( w @ X1 ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cX5204_pme) ).
thf(f2,negated_conjecture,
( ( ^ [X0: a] :
? [X1: b] :
( ( X0
= ( f @ X1 ) )
& ? [X2: b > $o] :
( ( X2 @ X1 )
& ( w @ X2 ) ) ) )
!= ( ^ [X3: a] :
? [X2: a > $o] :
( ( X2 @ X3 )
& ? [X1: b > $o] :
( ( X2
= ( ^ [X0: a] :
? [X4: b] :
( ( X0
= ( f @ X4 ) )
& ( X1 @ X4 ) ) ) )
& ( w @ X1 ) ) ) ) ),
inference(negated_conjecture,[status(cth)],[f1]) ).
thf(f3,plain,
( ( ^ [X0: a] :
? [X1: b] :
( ( X0
= ( f @ X1 ) )
& ? [X2: b > $o] :
( ( X2 @ X1 )
& ( w @ X2 ) ) ) )
!= ( ^ [X3: a] :
? [X4: a > $o] :
( ( X4 @ X3 )
& ? [X5: b > $o] :
( ( X4
= ( ^ [X6: a] :
? [X7: b] :
( ( ( f @ X7 )
= X6 )
& ( X5 @ X7 ) ) ) )
& ( w @ X5 ) ) ) ) ),
inference(rectify,[],[f2]) ).
thf(f4,plain,
( ( ^ [Y0: a] :
( ?? @ b
@ ^ [Y1: b] :
( ( ?? @ ( b > $o )
@ ^ [Y2: b > $o] :
( ( w @ Y2 )
& ( Y2 @ Y1 ) ) )
& ( ( f @ Y1 )
= Y0 ) ) ) )
!= ( ^ [Y0: a] :
( ?? @ ( a > $o )
@ ^ [Y1: a > $o] :
( ( ?? @ ( b > $o )
@ ^ [Y2: b > $o] :
( ( w @ Y2 )
& ( Y1
= ( ^ [Y3: a] :
( ?? @ b
@ ^ [Y4: b] :
( ( Y2 @ Y4 )
& ( ( f @ Y4 )
= Y3 ) ) ) ) ) ) )
& ( Y1 @ Y0 ) ) ) ) ),
inference(fool_elimination,[],[f3]) ).
thf(f5,plain,
( ( ^ [Y0: a] :
( ?? @ b
@ ^ [Y1: b] :
( ( ?? @ ( b > $o )
@ ^ [Y2: b > $o] :
( ( w @ Y2 )
& ( Y2 @ Y1 ) ) )
& ( ( f @ Y1 )
= Y0 ) ) ) )
!= ( ^ [Y0: a] :
( ?? @ ( a > $o )
@ ^ [Y1: a > $o] :
( ( ?? @ ( b > $o )
@ ^ [Y2: b > $o] :
( ( w @ Y2 )
& ( Y1
= ( ^ [Y3: a] :
( ?? @ b
@ ^ [Y4: b] :
( ( Y2 @ Y4 )
& ( ( f @ Y4 )
= Y3 ) ) ) ) ) ) )
& ( Y1 @ Y0 ) ) ) ) ),
inference(flattening,[],[f4]) ).
thf(f6,plain,
( ( ^ [Y0: a] :
( ?? @ b
@ ^ [Y1: b] :
( ( ?? @ ( b > $o )
@ ^ [Y2: b > $o] :
( ( w @ Y2 )
& ( Y2 @ Y1 ) ) )
& ( ( f @ Y1 )
= Y0 ) ) ) )
!= ( ^ [Y0: a] :
( ?? @ ( a > $o )
@ ^ [Y1: a > $o] :
( ( ?? @ ( b > $o )
@ ^ [Y2: b > $o] :
( ( w @ Y2 )
& ( Y1
= ( ^ [Y3: a] :
( ?? @ b
@ ^ [Y4: b] :
( ( Y2 @ Y4 )
& ( ( f @ Y4 )
= Y3 ) ) ) ) ) ) )
& ( Y1 @ Y0 ) ) ) ) ),
inference(cnf_transformation,[],[f5]) ).
thf(f16,plain,
( ( ^ [Y0: a] :
( ?? @ b
@ ^ [Y1: b] :
( ( ?? @ ( b > $o )
@ ^ [Y2: b > $o] :
( ( w @ Y2 )
& ( Y2 @ Y1 ) ) )
& ( ( f @ Y1 )
= Y0 ) ) )
@ sK0 )
!= ( ^ [Y0: a] :
( ?? @ ( a > $o )
@ ^ [Y1: a > $o] :
( ( ?? @ ( b > $o )
@ ^ [Y2: b > $o] :
( ( w @ Y2 )
& ( Y1
= ( ^ [Y3: a] :
( ?? @ b
@ ^ [Y4: b] :
( ( Y2 @ Y4 )
& ( ( f @ Y4 )
= Y3 ) ) ) ) ) ) )
& ( Y1 @ Y0 ) ) )
@ sK0 ) ),
inference(negative_extensionality,[],[f6]) ).
thf(f17,plain,
( ( $true
= ( ^ [Y0: a] :
( ?? @ b
@ ^ [Y1: b] :
( ( ?? @ ( b > $o )
@ ^ [Y2: b > $o] :
( ( w @ Y2 )
& ( Y2 @ Y1 ) ) )
& ( ( f @ Y1 )
= Y0 ) ) )
@ sK0 ) )
| ( $true
= ( ^ [Y0: a] :
( ?? @ ( a > $o )
@ ^ [Y1: a > $o] :
( ( ?? @ ( b > $o )
@ ^ [Y2: b > $o] :
( ( w @ Y2 )
& ( Y1
= ( ^ [Y3: a] :
( ?? @ b
@ ^ [Y4: b] :
( ( Y2 @ Y4 )
& ( ( f @ Y4 )
= Y3 ) ) ) ) ) ) )
& ( Y1 @ Y0 ) ) )
@ sK0 ) ) ),
inference(xor_proxy_clausification,[],[f16]) ).
thf(f18,plain,
( ( $false
= ( ^ [Y0: a] :
( ?? @ b
@ ^ [Y1: b] :
( ( ?? @ ( b > $o )
@ ^ [Y2: b > $o] :
( ( w @ Y2 )
& ( Y2 @ Y1 ) ) )
& ( ( f @ Y1 )
= Y0 ) ) )
@ sK0 ) )
| ( $false
= ( ^ [Y0: a] :
( ?? @ ( a > $o )
@ ^ [Y1: a > $o] :
( ( ?? @ ( b > $o )
@ ^ [Y2: b > $o] :
( ( w @ Y2 )
& ( Y1
= ( ^ [Y3: a] :
( ?? @ b
@ ^ [Y4: b] :
( ( Y2 @ Y4 )
& ( ( f @ Y4 )
= Y3 ) ) ) ) ) ) )
& ( Y1 @ Y0 ) ) )
@ sK0 ) ) ),
inference(xor_proxy_clausification,[],[f16]) ).
thf(f19,plain,
( ( $false
= ( ?? @ b
@ ^ [Y0: b] :
( ( ?? @ ( b > $o )
@ ^ [Y1: b > $o] :
( ( w @ Y1 )
& ( Y1 @ Y0 ) ) )
& ( ( f @ Y0 )
= sK0 ) ) ) )
| ( $false
= ( ?? @ ( a > $o )
@ ^ [Y0: a > $o] :
( ( ?? @ ( b > $o )
@ ^ [Y1: b > $o] :
( ( w @ Y1 )
& ( Y0
= ( ^ [Y2: a] :
( ?? @ b
@ ^ [Y3: b] :
( ( Y1 @ Y3 )
& ( ( f @ Y3 )
= Y2 ) ) ) ) ) ) )
& ( Y0 @ sK0 ) ) ) ) ),
inference(beta-eta_normalization,[],[f18]) ).
thf(f20,plain,
! [X1: b] :
( ( $false
= ( ^ [Y0: b] :
( ( ?? @ ( b > $o )
@ ^ [Y1: b > $o] :
( ( w @ Y1 )
& ( Y1 @ Y0 ) ) )
& ( ( f @ Y0 )
= sK0 ) )
@ X1 ) )
| ( $false
= ( ?? @ ( a > $o )
@ ^ [Y0: a > $o] :
( ( ?? @ ( b > $o )
@ ^ [Y1: b > $o] :
( ( w @ Y1 )
& ( Y0
= ( ^ [Y2: a] :
( ?? @ b
@ ^ [Y3: b] :
( ( Y1 @ Y3 )
& ( ( f @ Y3 )
= Y2 ) ) ) ) ) ) )
& ( Y0 @ sK0 ) ) ) ) ),
inference(pi_proxy_clausification,[],[f19]) ).
thf(f21,plain,
! [X2: a > $o,X1: b] :
( ( $false
= ( ^ [Y0: b] :
( ( ?? @ ( b > $o )
@ ^ [Y1: b > $o] :
( ( w @ Y1 )
& ( Y1 @ Y0 ) ) )
& ( ( f @ Y0 )
= sK0 ) )
@ X1 ) )
| ( $false
= ( ^ [Y0: a > $o] :
( ( ?? @ ( b > $o )
@ ^ [Y1: b > $o] :
( ( w @ Y1 )
& ( Y0
= ( ^ [Y2: a] :
( ?? @ b
@ ^ [Y3: b] :
( ( Y1 @ Y3 )
& ( ( f @ Y3 )
= Y2 ) ) ) ) ) ) )
& ( Y0 @ sK0 ) )
@ X2 ) ) ),
inference(pi_proxy_clausification,[],[f20]) ).
thf(f22,plain,
! [X2: a > $o,X1: b] :
( ( $false
= ( ( ?? @ ( b > $o )
@ ^ [Y0: b > $o] :
( ( w @ Y0 )
& ( Y0 @ X1 ) ) )
& ( ( f @ X1 )
= sK0 ) ) )
| ( $false
= ( ( ?? @ ( b > $o )
@ ^ [Y0: b > $o] :
( ( w @ Y0 )
& ( X2
= ( ^ [Y1: a] :
( ?? @ b
@ ^ [Y2: b] :
( ( Y0 @ Y2 )
& ( ( f @ Y2 )
= Y1 ) ) ) ) ) ) )
& ( X2 @ sK0 ) ) ) ),
inference(beta-eta_normalization,[],[f21]) ).
thf(f23,plain,
! [X2: a > $o,X1: b] :
( ( $false
= ( ( f @ X1 )
= sK0 ) )
| ( $false
= ( ( ?? @ ( b > $o )
@ ^ [Y0: b > $o] :
( ( w @ Y0 )
& ( X2
= ( ^ [Y1: a] :
( ?? @ b
@ ^ [Y2: b] :
( ( Y0 @ Y2 )
& ( ( f @ Y2 )
= Y1 ) ) ) ) ) ) )
& ( X2 @ sK0 ) ) )
| ( $false
= ( ?? @ ( b > $o )
@ ^ [Y0: b > $o] :
( ( w @ Y0 )
& ( Y0 @ X1 ) ) ) ) ),
inference(and_proxy_clausification,[],[f22]) ).
thf(f24,plain,
! [X2: a > $o,X1: b] :
( ( ( f @ X1 )
!= sK0 )
| ( $false
= ( ( ?? @ ( b > $o )
@ ^ [Y0: b > $o] :
( ( w @ Y0 )
& ( X2
= ( ^ [Y1: a] :
( ?? @ b
@ ^ [Y2: b] :
( ( Y0 @ Y2 )
& ( ( f @ Y2 )
= Y1 ) ) ) ) ) ) )
& ( X2 @ sK0 ) ) )
| ( $false
= ( ?? @ ( b > $o )
@ ^ [Y0: b > $o] :
( ( w @ Y0 )
& ( Y0 @ X1 ) ) ) ) ),
inference(equality_proxy_clausification,[],[f23]) ).
thf(f25,plain,
! [X2: a > $o,X1: b] :
( ( ( f @ X1 )
!= sK0 )
| ( $false
= ( X2 @ sK0 ) )
| ( $false
= ( ?? @ ( b > $o )
@ ^ [Y0: b > $o] :
( ( w @ Y0 )
& ( Y0 @ X1 ) ) ) )
| ( $false
= ( ?? @ ( b > $o )
@ ^ [Y0: b > $o] :
( ( w @ Y0 )
& ( X2
= ( ^ [Y1: a] :
( ?? @ b
@ ^ [Y2: b] :
( ( Y0 @ Y2 )
& ( ( f @ Y2 )
= Y1 ) ) ) ) ) ) ) ) ),
inference(and_proxy_clausification,[],[f24]) ).
thf(f26,plain,
! [X2: a > $o,X3: b > $o,X1: b] :
( ( ( f @ X1 )
!= sK0 )
| ( $false
= ( X2 @ sK0 ) )
| ( $false
= ( ^ [Y0: b > $o] :
( ( w @ Y0 )
& ( Y0 @ X1 ) )
@ X3 ) )
| ( $false
= ( ?? @ ( b > $o )
@ ^ [Y0: b > $o] :
( ( w @ Y0 )
& ( X2
= ( ^ [Y1: a] :
( ?? @ b
@ ^ [Y2: b] :
( ( Y0 @ Y2 )
& ( ( f @ Y2 )
= Y1 ) ) ) ) ) ) ) ) ),
inference(pi_proxy_clausification,[],[f25]) ).
thf(f27,plain,
! [X2: a > $o,X3: b > $o,X1: b,X4: b > $o] :
( ( ( f @ X1 )
!= sK0 )
| ( $false
= ( X2 @ sK0 ) )
| ( $false
= ( ^ [Y0: b > $o] :
( ( w @ Y0 )
& ( Y0 @ X1 ) )
@ X3 ) )
| ( $false
= ( ^ [Y0: b > $o] :
( ( w @ Y0 )
& ( X2
= ( ^ [Y1: a] :
( ?? @ b
@ ^ [Y2: b] :
( ( Y0 @ Y2 )
& ( ( f @ Y2 )
= Y1 ) ) ) ) ) )
@ X4 ) ) ),
inference(pi_proxy_clausification,[],[f26]) ).
thf(f28,plain,
! [X2: a > $o,X3: b > $o,X1: b,X4: b > $o] :
( ( ( f @ X1 )
!= sK0 )
| ( $false
= ( X2 @ sK0 ) )
| ( $false
= ( ( w @ X3 )
& ( X3 @ X1 ) ) )
| ( $false
= ( ( w @ X4 )
& ( X2
= ( ^ [Y0: a] :
( ?? @ b
@ ^ [Y1: b] :
( ( X4 @ Y1 )
& ( ( f @ Y1 )
= Y0 ) ) ) ) ) ) ) ),
inference(beta-eta_normalization,[],[f27]) ).
thf(f29,plain,
! [X2: a > $o,X3: b > $o,X1: b,X4: b > $o] :
( ( ( f @ X1 )
!= sK0 )
| ( $false
= ( X2 @ sK0 ) )
| ( $false
= ( X3 @ X1 ) )
| ( $false
= ( ( w @ X4 )
& ( X2
= ( ^ [Y0: a] :
( ?? @ b
@ ^ [Y1: b] :
( ( X4 @ Y1 )
& ( ( f @ Y1 )
= Y0 ) ) ) ) ) ) )
| ( $false
= ( w @ X3 ) ) ),
inference(and_proxy_clausification,[],[f28]) ).
thf(f30,plain,
! [X2: a > $o,X3: b > $o,X1: b,X4: b > $o] :
( ( ( f @ X1 )
!= sK0 )
| ( $false
= ( X2 @ sK0 ) )
| ( $false
= ( X3 @ X1 ) )
| ( $false
= ( X2
= ( ^ [Y0: a] :
( ?? @ b
@ ^ [Y1: b] :
( ( X4 @ Y1 )
& ( ( f @ Y1 )
= Y0 ) ) ) ) ) )
| ( $false
= ( w @ X3 ) )
| ( $false
= ( w @ X4 ) ) ),
inference(and_proxy_clausification,[],[f29]) ).
thf(f31,plain,
! [X2: a > $o,X3: b > $o,X1: b,X4: b > $o] :
( ( ( f @ X1 )
!= sK0 )
| ( $false
= ( X2 @ sK0 ) )
| ( $false
= ( X3 @ X1 ) )
| ( ( ^ [Y0: a] :
( ?? @ b
@ ^ [Y1: b] :
( ( X4 @ Y1 )
& ( ( f @ Y1 )
= Y0 ) ) ) )
!= X2 )
| ( $false
= ( w @ X3 ) )
| ( $false
= ( w @ X4 ) ) ),
inference(equality_proxy_clausification,[],[f30]) ).
thf(f32,plain,
( ( $true
= ( ?? @ b
@ ^ [Y0: b] :
( ( ?? @ ( b > $o )
@ ^ [Y1: b > $o] :
( ( w @ Y1 )
& ( Y1 @ Y0 ) ) )
& ( ( f @ Y0 )
= sK0 ) ) ) )
| ( $true
= ( ?? @ ( a > $o )
@ ^ [Y0: a > $o] :
( ( ?? @ ( b > $o )
@ ^ [Y1: b > $o] :
( ( w @ Y1 )
& ( Y0
= ( ^ [Y2: a] :
( ?? @ b
@ ^ [Y3: b] :
( ( Y1 @ Y3 )
& ( ( f @ Y3 )
= Y2 ) ) ) ) ) ) )
& ( Y0 @ sK0 ) ) ) ) ),
inference(beta-eta_normalization,[],[f17]) ).
thf(f33,plain,
( ( $true
= ( ^ [Y0: b] :
( ( ?? @ ( b > $o )
@ ^ [Y1: b > $o] :
( ( w @ Y1 )
& ( Y1 @ Y0 ) ) )
& ( ( f @ Y0 )
= sK0 ) )
@ sK1 ) )
| ( $true
= ( ?? @ ( a > $o )
@ ^ [Y0: a > $o] :
( ( ?? @ ( b > $o )
@ ^ [Y1: b > $o] :
( ( w @ Y1 )
& ( Y0
= ( ^ [Y2: a] :
( ?? @ b
@ ^ [Y3: b] :
( ( Y1 @ Y3 )
& ( ( f @ Y3 )
= Y2 ) ) ) ) ) ) )
& ( Y0 @ sK0 ) ) ) ) ),
inference(sigma_proxy_clausification,[],[f32]) ).
thf(f34,plain,
( ( $true
= ( ^ [Y0: b] :
( ( ?? @ ( b > $o )
@ ^ [Y1: b > $o] :
( ( w @ Y1 )
& ( Y1 @ Y0 ) ) )
& ( ( f @ Y0 )
= sK0 ) )
@ sK1 ) )
| ( $true
= ( ^ [Y0: a > $o] :
( ( ?? @ ( b > $o )
@ ^ [Y1: b > $o] :
( ( w @ Y1 )
& ( Y0
= ( ^ [Y2: a] :
( ?? @ b
@ ^ [Y3: b] :
( ( Y1 @ Y3 )
& ( ( f @ Y3 )
= Y2 ) ) ) ) ) ) )
& ( Y0 @ sK0 ) )
@ sK2 ) ) ),
inference(sigma_proxy_clausification,[],[f33]) ).
thf(f35,plain,
( ( $true
= ( ( ?? @ ( b > $o )
@ ^ [Y0: b > $o] :
( ( w @ Y0 )
& ( Y0 @ sK1 ) ) )
& ( ( f @ sK1 )
= sK0 ) ) )
| ( $true
= ( ( ?? @ ( b > $o )
@ ^ [Y0: b > $o] :
( ( w @ Y0 )
& ( sK2
= ( ^ [Y1: a] :
( ?? @ b
@ ^ [Y2: b] :
( ( Y0 @ Y2 )
& ( ( f @ Y2 )
= Y1 ) ) ) ) ) ) )
& ( sK2 @ sK0 ) ) ) ),
inference(beta-eta_normalization,[],[f34]) ).
thf(f36,plain,
( ( $true
= ( ( f @ sK1 )
= sK0 ) )
| ( $true
= ( ( ?? @ ( b > $o )
@ ^ [Y0: b > $o] :
( ( w @ Y0 )
& ( sK2
= ( ^ [Y1: a] :
( ?? @ b
@ ^ [Y2: b] :
( ( Y0 @ Y2 )
& ( ( f @ Y2 )
= Y1 ) ) ) ) ) ) )
& ( sK2 @ sK0 ) ) ) ),
inference(and_proxy_clausification,[],[f35]) ).
thf(f37,plain,
( ( $true
= ( ?? @ ( b > $o )
@ ^ [Y0: b > $o] :
( ( w @ Y0 )
& ( Y0 @ sK1 ) ) ) )
| ( $true
= ( ( ?? @ ( b > $o )
@ ^ [Y0: b > $o] :
( ( w @ Y0 )
& ( sK2
= ( ^ [Y1: a] :
( ?? @ b
@ ^ [Y2: b] :
( ( Y0 @ Y2 )
& ( ( f @ Y2 )
= Y1 ) ) ) ) ) ) )
& ( sK2 @ sK0 ) ) ) ),
inference(and_proxy_clausification,[],[f35]) ).
thf(f38,plain,
( ( $true
= ( ^ [Y0: b > $o] :
( ( w @ Y0 )
& ( Y0 @ sK1 ) )
@ sK3 ) )
| ( $true
= ( ( ?? @ ( b > $o )
@ ^ [Y0: b > $o] :
( ( w @ Y0 )
& ( sK2
= ( ^ [Y1: a] :
( ?? @ b
@ ^ [Y2: b] :
( ( Y0 @ Y2 )
& ( ( f @ Y2 )
= Y1 ) ) ) ) ) ) )
& ( sK2 @ sK0 ) ) ) ),
inference(sigma_proxy_clausification,[],[f37]) ).
thf(f39,plain,
( ( $true
= ( ^ [Y0: b > $o] :
( ( w @ Y0 )
& ( Y0 @ sK1 ) )
@ sK3 ) )
| ( $true
= ( sK2 @ sK0 ) ) ),
inference(and_proxy_clausification,[],[f38]) ).
thf(f40,plain,
( ( $true
= ( ^ [Y0: b > $o] :
( ( w @ Y0 )
& ( Y0 @ sK1 ) )
@ sK3 ) )
| ( $true
= ( ?? @ ( b > $o )
@ ^ [Y0: b > $o] :
( ( w @ Y0 )
& ( sK2
= ( ^ [Y1: a] :
( ?? @ b
@ ^ [Y2: b] :
( ( Y0 @ Y2 )
& ( ( f @ Y2 )
= Y1 ) ) ) ) ) ) ) ) ),
inference(and_proxy_clausification,[],[f38]) ).
thf(f41,plain,
( ( $true
= ( ^ [Y0: b > $o] :
( ( w @ Y0 )
& ( Y0 @ sK1 ) )
@ sK3 ) )
| ( $true
= ( ^ [Y0: b > $o] :
( ( w @ Y0 )
& ( sK2
= ( ^ [Y1: a] :
( ?? @ b
@ ^ [Y2: b] :
( ( Y0 @ Y2 )
& ( ( f @ Y2 )
= Y1 ) ) ) ) ) )
@ sK4 ) ) ),
inference(sigma_proxy_clausification,[],[f40]) ).
thf(f42,plain,
( ( $true
= ( ( w @ sK3 )
& ( sK3 @ sK1 ) ) )
| ( $true
= ( ( w @ sK4 )
& ( sK2
= ( ^ [Y0: a] :
( ?? @ b
@ ^ [Y1: b] :
( ( sK4 @ Y1 )
& ( ( f @ Y1 )
= Y0 ) ) ) ) ) ) ) ),
inference(beta-eta_normalization,[],[f41]) ).
thf(f43,plain,
( ( $true
= ( sK3 @ sK1 ) )
| ( $true
= ( ( w @ sK4 )
& ( sK2
= ( ^ [Y0: a] :
( ?? @ b
@ ^ [Y1: b] :
( ( sK4 @ Y1 )
& ( ( f @ Y1 )
= Y0 ) ) ) ) ) ) ) ),
inference(and_proxy_clausification,[],[f42]) ).
thf(f44,plain,
( ( $true
= ( w @ sK3 ) )
| ( $true
= ( ( w @ sK4 )
& ( sK2
= ( ^ [Y0: a] :
( ?? @ b
@ ^ [Y1: b] :
( ( sK4 @ Y1 )
& ( ( f @ Y1 )
= Y0 ) ) ) ) ) ) ) ),
inference(and_proxy_clausification,[],[f42]) ).
thf(f45,plain,
( ( $true
= ( w @ sK3 ) )
| ( $true
= ( sK2
= ( ^ [Y0: a] :
( ?? @ b
@ ^ [Y1: b] :
( ( sK4 @ Y1 )
& ( ( f @ Y1 )
= Y0 ) ) ) ) ) ) ),
inference(and_proxy_clausification,[],[f44]) ).
thf(f46,plain,
( ( $true
= ( w @ sK3 ) )
| ( $true
= ( w @ sK4 ) ) ),
inference(and_proxy_clausification,[],[f44]) ).
thf(f47,plain,
( ( $true
= ( w @ sK3 ) )
| ( sK2
= ( ^ [Y0: a] :
( ?? @ b
@ ^ [Y1: b] :
( ( sK4 @ Y1 )
& ( ( f @ Y1 )
= Y0 ) ) ) ) ) ),
inference(equality_proxy_clausification,[],[f45]) ).
thf(f48,plain,
( ( $true
= ( sK3 @ sK1 ) )
| ( $true
= ( sK2
= ( ^ [Y0: a] :
( ?? @ b
@ ^ [Y1: b] :
( ( sK4 @ Y1 )
& ( ( f @ Y1 )
= Y0 ) ) ) ) ) ) ),
inference(and_proxy_clausification,[],[f43]) ).
thf(f49,plain,
( ( $true
= ( sK3 @ sK1 ) )
| ( $true
= ( w @ sK4 ) ) ),
inference(and_proxy_clausification,[],[f43]) ).
thf(f50,plain,
( ( $true
= ( sK3 @ sK1 ) )
| ( sK2
= ( ^ [Y0: a] :
( ?? @ b
@ ^ [Y1: b] :
( ( sK4 @ Y1 )
& ( ( f @ Y1 )
= Y0 ) ) ) ) ) ),
inference(equality_proxy_clausification,[],[f48]) ).
thf(f51,plain,
( ( $true
= ( ( w @ sK3 )
& ( sK3 @ sK1 ) ) )
| ( $true
= ( sK2 @ sK0 ) ) ),
inference(beta-eta_normalization,[],[f39]) ).
thf(f52,plain,
( ( $true
= ( sK3 @ sK1 ) )
| ( $true
= ( sK2 @ sK0 ) ) ),
inference(and_proxy_clausification,[],[f51]) ).
thf(f53,plain,
( ( $true
= ( w @ sK3 ) )
| ( $true
= ( sK2 @ sK0 ) ) ),
inference(and_proxy_clausification,[],[f51]) ).
thf(f54,plain,
( ( sK0
= ( f @ sK1 ) )
| ( $true
= ( ( ?? @ ( b > $o )
@ ^ [Y0: b > $o] :
( ( w @ Y0 )
& ( sK2
= ( ^ [Y1: a] :
( ?? @ b
@ ^ [Y2: b] :
( ( Y0 @ Y2 )
& ( ( f @ Y2 )
= Y1 ) ) ) ) ) ) )
& ( sK2 @ sK0 ) ) ) ),
inference(equality_proxy_clausification,[],[f36]) ).
thf(f55,plain,
( ( sK0
= ( f @ sK1 ) )
| ( $true
= ( sK2 @ sK0 ) ) ),
inference(and_proxy_clausification,[],[f54]) ).
thf(f56,plain,
( ( sK0
= ( f @ sK1 ) )
| ( $true
= ( ?? @ ( b > $o )
@ ^ [Y0: b > $o] :
( ( w @ Y0 )
& ( sK2
= ( ^ [Y1: a] :
( ?? @ b
@ ^ [Y2: b] :
( ( Y0 @ Y2 )
& ( ( f @ Y2 )
= Y1 ) ) ) ) ) ) ) ) ),
inference(and_proxy_clausification,[],[f54]) ).
thf(f57,plain,
( ( sK0
= ( f @ sK1 ) )
| ( $true
= ( ^ [Y0: b > $o] :
( ( w @ Y0 )
& ( sK2
= ( ^ [Y1: a] :
( ?? @ b
@ ^ [Y2: b] :
( ( Y0 @ Y2 )
& ( ( f @ Y2 )
= Y1 ) ) ) ) ) )
@ sK5 ) ) ),
inference(sigma_proxy_clausification,[],[f56]) ).
thf(f58,plain,
( ( sK0
= ( f @ sK1 ) )
| ( $true
= ( ( w @ sK5 )
& ( sK2
= ( ^ [Y0: a] :
( ?? @ b
@ ^ [Y1: b] :
( ( sK5 @ Y1 )
& ( ( f @ Y1 )
= Y0 ) ) ) ) ) ) ) ),
inference(beta-eta_normalization,[],[f57]) ).
thf(f59,plain,
( ( sK0
= ( f @ sK1 ) )
| ( $true
= ( sK2
= ( ^ [Y0: a] :
( ?? @ b
@ ^ [Y1: b] :
( ( sK5 @ Y1 )
& ( ( f @ Y1 )
= Y0 ) ) ) ) ) ) ),
inference(and_proxy_clausification,[],[f58]) ).
thf(f60,plain,
( ( sK0
= ( f @ sK1 ) )
| ( $true
= ( w @ sK5 ) ) ),
inference(and_proxy_clausification,[],[f58]) ).
thf(f61,plain,
( ( sK0
= ( f @ sK1 ) )
| ( sK2
= ( ^ [Y0: a] :
( ?? @ b
@ ^ [Y1: b] :
( ( sK5 @ Y1 )
& ( ( f @ Y1 )
= Y0 ) ) ) ) ) ),
inference(equality_proxy_clausification,[],[f59]) ).
thf(f63,definition,
( spl6_1
<=> ! [X2: a > $o,X4: b > $o] :
( ( $false
= ( X2 @ sK0 ) )
| ( $false
= ( w @ X4 ) )
| ( ( ^ [Y0: a] :
( ?? @ b
@ ^ [Y1: b] :
( ( X4 @ Y1 )
& ( ( f @ Y1 )
= Y0 ) ) ) )
!= X2 ) ) ),
introduced(definition,[new_symbols(definition,[spl6_1])],[avatar_definition]) ).
thf(f64,plain,
( ! [X2: a > $o,X4: b > $o] :
( ( ( ^ [Y0: a] :
( ?? @ b
@ ^ [Y1: b] :
( ( X4 @ Y1 )
& ( ( f @ Y1 )
= Y0 ) ) ) )
!= X2 )
| ( $false
= ( w @ X4 ) )
| ( $false
= ( X2 @ sK0 ) ) )
| ~ spl6_1 ),
inference(avatar_component_clause,[],[f63]) ).
thf(f66,definition,
( spl6_2
<=> ! [X1: b,X3: b > $o] :
( ( ( f @ X1 )
!= sK0 )
| ( $false
= ( w @ X3 ) )
| ( $false
= ( X3 @ X1 ) ) ) ),
introduced(definition,[new_symbols(definition,[spl6_2])],[avatar_definition]) ).
thf(f67,plain,
( ! [X3: b > $o,X1: b] :
( ( ( f @ X1 )
!= sK0 )
| ( $false
= ( w @ X3 ) )
| ( $false
= ( X3 @ X1 ) ) )
| ~ spl6_2 ),
inference(avatar_component_clause,[],[f66]) ).
thf(f68,plain,
( spl6_1
| spl6_2 ),
inference(avatar_split_clause,[],[f31,f66,f63]) ).
thf(f70,definition,
( spl6_3
<=> ( $true
= ( w @ sK4 ) ) ),
introduced(definition,[new_symbols(definition,[spl6_3])],[avatar_definition]) ).
thf(f72,plain,
( ( $true
= ( w @ sK4 ) )
| ~ spl6_3 ),
inference(avatar_component_clause,[],[f70]) ).
thf(f74,definition,
( spl6_4
<=> ( $true
= ( w @ sK3 ) ) ),
introduced(definition,[new_symbols(definition,[spl6_4])],[avatar_definition]) ).
thf(f76,plain,
( ( $true
= ( w @ sK3 ) )
| ~ spl6_4 ),
inference(avatar_component_clause,[],[f74]) ).
thf(f77,plain,
( spl6_3
| spl6_4 ),
inference(avatar_split_clause,[],[f46,f74,f70]) ).
thf(f79,definition,
( spl6_5
<=> ( sK2
= ( ^ [Y0: a] :
( ?? @ b
@ ^ [Y1: b] :
( ( sK4 @ Y1 )
& ( ( f @ Y1 )
= Y0 ) ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl6_5])],[avatar_definition]) ).
thf(f81,plain,
( ( sK2
= ( ^ [Y0: a] :
( ?? @ b
@ ^ [Y1: b] :
( ( sK4 @ Y1 )
& ( ( f @ Y1 )
= Y0 ) ) ) ) )
| ~ spl6_5 ),
inference(avatar_component_clause,[],[f79]) ).
thf(f82,plain,
( spl6_5
| spl6_4 ),
inference(avatar_split_clause,[],[f47,f74,f79]) ).
thf(f84,definition,
( spl6_6
<=> ( $true
= ( sK3 @ sK1 ) ) ),
introduced(definition,[new_symbols(definition,[spl6_6])],[avatar_definition]) ).
thf(f86,plain,
( ( $true
= ( sK3 @ sK1 ) )
| ~ spl6_6 ),
inference(avatar_component_clause,[],[f84]) ).
thf(f87,plain,
( spl6_3
| spl6_6 ),
inference(avatar_split_clause,[],[f49,f84,f70]) ).
thf(f88,plain,
( spl6_5
| spl6_6 ),
inference(avatar_split_clause,[],[f50,f84,f79]) ).
thf(f90,definition,
( spl6_7
<=> ( $true
= ( sK2 @ sK0 ) ) ),
introduced(definition,[new_symbols(definition,[spl6_7])],[avatar_definition]) ).
thf(f92,plain,
( ( $true
= ( sK2 @ sK0 ) )
| ~ spl6_7 ),
inference(avatar_component_clause,[],[f90]) ).
thf(f93,plain,
( spl6_7
| spl6_4 ),
inference(avatar_split_clause,[],[f53,f74,f90]) ).
thf(f94,plain,
( spl6_7
| spl6_6 ),
inference(avatar_split_clause,[],[f52,f84,f90]) ).
thf(f96,definition,
( spl6_8
<=> ( $true
= ( w @ sK5 ) ) ),
introduced(definition,[new_symbols(definition,[spl6_8])],[avatar_definition]) ).
thf(f98,plain,
( ( $true
= ( w @ sK5 ) )
| ~ spl6_8 ),
inference(avatar_component_clause,[],[f96]) ).
thf(f100,definition,
( spl6_9
<=> ( sK0
= ( f @ sK1 ) ) ),
introduced(definition,[new_symbols(definition,[spl6_9])],[avatar_definition]) ).
thf(f102,plain,
( ( sK0
= ( f @ sK1 ) )
| ~ spl6_9 ),
inference(avatar_component_clause,[],[f100]) ).
thf(f103,plain,
( spl6_8
| spl6_9 ),
inference(avatar_split_clause,[],[f60,f100,f96]) ).
thf(f105,definition,
( spl6_10
<=> ( sK2
= ( ^ [Y0: a] :
( ?? @ b
@ ^ [Y1: b] :
( ( sK5 @ Y1 )
& ( ( f @ Y1 )
= Y0 ) ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl6_10])],[avatar_definition]) ).
thf(f107,plain,
( ( sK2
= ( ^ [Y0: a] :
( ?? @ b
@ ^ [Y1: b] :
( ( sK5 @ Y1 )
& ( ( f @ Y1 )
= Y0 ) ) ) ) )
| ~ spl6_10 ),
inference(avatar_component_clause,[],[f105]) ).
thf(f108,plain,
( spl6_10
| spl6_9 ),
inference(avatar_split_clause,[],[f61,f100,f105]) ).
thf(f109,plain,
( spl6_7
| spl6_9 ),
inference(avatar_split_clause,[],[f55,f100,f90]) ).
thf(f111,plain,
( ! [X0: b > $o] :
( ( $false
= ( w @ X0 ) )
| ( $false
= ( ^ [Y0: a] :
( ?? @ b
@ ^ [Y1: b] :
( ( X0 @ Y1 )
& ( ( f @ Y1 )
= Y0 ) ) )
@ sK0 ) ) )
| ~ spl6_1 ),
inference(equality_resolution,[],[f64]) ).
thf(f112,plain,
( ! [X0: b > $o] :
( ( $false
= ( w @ X0 ) )
| ( $false
= ( ?? @ b
@ ^ [Y0: b] :
( ( X0 @ Y0 )
& ( ( f @ Y0 )
= sK0 ) ) ) ) )
| ~ spl6_1 ),
inference(beta-eta_normalization,[],[f111]) ).
thf(f113,plain,
( ! [X0: b > $o,X1: b] :
( ( $false
= ( w @ X0 ) )
| ( $false
= ( ^ [Y0: b] :
( ( X0 @ Y0 )
& ( ( f @ Y0 )
= sK0 ) )
@ X1 ) ) )
| ~ spl6_1 ),
inference(pi_proxy_clausification,[],[f112]) ).
thf(f114,plain,
( ! [X0: b > $o,X1: b] :
( ( $false
= ( w @ X0 ) )
| ( $false
= ( ( X0 @ X1 )
& ( ( f @ X1 )
= sK0 ) ) ) )
| ~ spl6_1 ),
inference(beta-eta_normalization,[],[f113]) ).
thf(f115,plain,
( ! [X0: b > $o,X1: b] :
( ( $false
= ( w @ X0 ) )
| ( $false
= ( ( f @ X1 )
= sK0 ) )
| ( $false
= ( X0 @ X1 ) ) )
| ~ spl6_1 ),
inference(and_proxy_clausification,[],[f114]) ).
thf(f116,plain,
( ! [X0: b > $o,X1: b] :
( ( ( f @ X1 )
!= sK0 )
| ( $false
= ( w @ X0 ) )
| ( $false
= ( X0 @ X1 ) ) )
| ~ spl6_1 ),
inference(equality_proxy_clausification,[],[f115]) ).
thf(f130,plain,
( ! [X0: b > $o] :
( ( sK0 != sK0 )
| ( $false
= ( w @ X0 ) )
| ( $false
= ( X0 @ sK1 ) ) )
| ~ spl6_1
| ~ spl6_9 ),
inference(constrained_superposition,[],[f116,f102]) ).
thf(f131,plain,
( ! [X0: b > $o] :
( ( $false
= ( w @ X0 ) )
| ( $false
= ( X0 @ sK1 ) ) )
| ~ spl6_1
| ~ spl6_9 ),
inference(trivial_inequality_removal,[],[f130]) ).
thf(f134,plain,
( ( $true = $false )
| ( $false
= ( sK3 @ sK1 ) )
| ~ spl6_1
| ~ spl6_4
| ~ spl6_9 ),
inference(constrained_superposition,[],[f76,f131]) ).
thf(f141,plain,
( ( $false
= ( sK3 @ sK1 ) )
| ~ spl6_1
| ~ spl6_4
| ~ spl6_9 ),
inference(trivial_inequality_removal,[],[f134]) ).
thf(f145,plain,
( ( $true = $false )
| ~ spl6_1
| ~ spl6_4
| ~ spl6_6
| ~ spl6_9 ),
inference(constrained_superposition,[],[f141,f86]) ).
thf(f149,plain,
( $false
| ~ spl6_1
| ~ spl6_4
| ~ spl6_6
| ~ spl6_9 ),
inference(trivial_inequality_removal,[],[f145]) ).
thf(f150,plain,
( ~ spl6_1
| ~ spl6_4
| ~ spl6_6
| ~ spl6_9 ),
inference(avatar_contradiction_clause,[],[f149]) ).
thf(f152,plain,
( ! [X1: a] :
( ( sK2 @ X1 )
= ( ^ [Y0: a] :
( ?? @ b
@ ^ [Y1: b] :
( ( sK5 @ Y1 )
& ( ( f @ Y1 )
= Y0 ) ) )
@ X1 ) )
| ~ spl6_10 ),
inference(argument_congruence,[],[f107]) ).
thf(f153,plain,
( ! [X0: a > $o] :
( ( sK2 != X0 )
| ( $false
= ( w
@ ^ [Y0: b] :
( sK5
@ ( ^ [Y1: b] : Y1
@ Y0 ) ) ) )
| ( $false
= ( X0 @ sK0 ) ) )
| ~ spl6_1
| ~ spl6_10 ),
inference(constrained_superposition,[],[f64,f107]) ).
thf(f154,plain,
( ! [X0: a > $o] :
( ( sK2 != X0 )
| ( $false
= ( w @ sK5 ) )
| ( $false
= ( X0 @ sK0 ) ) )
| ~ spl6_1
| ~ spl6_10 ),
inference(beta-eta_normalization,[],[f153]) ).
thf(f156,plain,
( ! [X1: a] :
( ( $false
= ( sK2 @ X1 ) )
| ( $true
= ( ^ [Y0: a] :
( ?? @ b
@ ^ [Y1: b] :
( ( sK5 @ Y1 )
& ( ( f @ Y1 )
= Y0 ) ) )
@ X1 ) ) )
| ~ spl6_10 ),
inference(iff_proxy_clausification,[],[f152]) ).
thf(f157,plain,
( ! [X1: a] :
( ( $false
= ( sK2 @ X1 ) )
| ( $true
= ( ?? @ b
@ ^ [Y0: b] :
( ( sK5 @ Y0 )
& ( ( f @ Y0 )
= X1 ) ) ) ) )
| ~ spl6_10 ),
inference(beta-eta_normalization,[],[f156]) ).
thf(f158,plain,
( ! [X1: a] :
( ( $false
= ( sK2 @ X1 ) )
| ( $true
= ( ^ [Y0: b] :
( ( sK5 @ Y0 )
& ( ( f @ Y0 )
= X1 ) )
@ ( sK9 @ X1 ) ) ) )
| ~ spl6_10 ),
inference(sigma_proxy_clausification,[],[f157]) ).
thf(f159,plain,
( ! [X1: a] :
( ( $false
= ( sK2 @ X1 ) )
| ( $true
= ( ( sK5 @ ( sK9 @ X1 ) )
& ( ( f @ ( sK9 @ X1 ) )
= X1 ) ) ) )
| ~ spl6_10 ),
inference(beta-eta_normalization,[],[f158]) ).
thf(f160,plain,
( ! [X1: a] :
( ( $false
= ( sK2 @ X1 ) )
| ( $true
= ( ( f @ ( sK9 @ X1 ) )
= X1 ) ) )
| ~ spl6_10 ),
inference(and_proxy_clausification,[],[f159]) ).
thf(f161,plain,
( ! [X1: a] :
( ( $true
= ( sK5 @ ( sK9 @ X1 ) ) )
| ( $false
= ( sK2 @ X1 ) ) )
| ~ spl6_10 ),
inference(and_proxy_clausification,[],[f159]) ).
thf(f162,plain,
( ! [X1: a] :
( ( ( f @ ( sK9 @ X1 ) )
= X1 )
| ( $false
= ( sK2 @ X1 ) ) )
| ~ spl6_10 ),
inference(equality_proxy_clausification,[],[f160]) ).
thf(f168,plain,
( ! [X0: a > $o] :
( ( $true = $false )
| ( sK2 != X0 )
| ( $false
= ( X0 @ sK0 ) ) )
| ~ spl6_1
| ~ spl6_8
| ~ spl6_10 ),
inference(forward_demodulation,[],[f154,f98]) ).
thf(f169,plain,
( ! [X0: a > $o] :
( ( sK2 != X0 )
| ( $false
= ( X0 @ sK0 ) ) )
| ~ spl6_1
| ~ spl6_8
| ~ spl6_10 ),
inference(trivial_inequality_removal,[],[f168]) ).
thf(f171,plain,
( ( $false
= ( sK2 @ sK0 ) )
| ~ spl6_1
| ~ spl6_8
| ~ spl6_10 ),
inference(equality_resolution,[],[f169]) ).
thf(f175,plain,
( ( $true = $false )
| ~ spl6_1
| ~ spl6_7
| ~ spl6_8
| ~ spl6_10 ),
inference(constrained_superposition,[],[f171,f92]) ).
thf(f179,plain,
( $false
| ~ spl6_1
| ~ spl6_7
| ~ spl6_8
| ~ spl6_10 ),
inference(trivial_inequality_removal,[],[f175]) ).
thf(f180,plain,
( ~ spl6_1
| ~ spl6_7
| ~ spl6_8
| ~ spl6_10 ),
inference(avatar_contradiction_clause,[],[f179]) ).
thf(f182,plain,
( ! [X0: b > $o] :
( ( sK0 != sK0 )
| ( $false
= ( w @ X0 ) )
| ( $false
= ( X0 @ sK1 ) ) )
| ~ spl6_2
| ~ spl6_9 ),
inference(constrained_superposition,[],[f67,f102]) ).
thf(f183,plain,
( ! [X0: b > $o] :
( ( $false
= ( w @ X0 ) )
| ( $false
= ( X0 @ sK1 ) ) )
| ~ spl6_2
| ~ spl6_9 ),
inference(trivial_inequality_removal,[],[f182]) ).
thf(f186,plain,
( ( $true = $false )
| ( $false
= ( sK3 @ sK1 ) )
| ~ spl6_2
| ~ spl6_4
| ~ spl6_9 ),
inference(constrained_superposition,[],[f76,f183]) ).
thf(f193,plain,
( ( $false
= ( sK3 @ sK1 ) )
| ~ spl6_2
| ~ spl6_4
| ~ spl6_9 ),
inference(trivial_inequality_removal,[],[f186]) ).
thf(f197,plain,
( ( $true = $false )
| ~ spl6_2
| ~ spl6_4
| ~ spl6_6
| ~ spl6_9 ),
inference(constrained_superposition,[],[f193,f86]) ).
thf(f201,plain,
( $false
| ~ spl6_2
| ~ spl6_4
| ~ spl6_6
| ~ spl6_9 ),
inference(trivial_inequality_removal,[],[f197]) ).
thf(f202,plain,
( ~ spl6_2
| ~ spl6_4
| ~ spl6_6
| ~ spl6_9 ),
inference(avatar_contradiction_clause,[],[f201]) ).
thf(f214,plain,
( ! [X0: a,X1: b > $o] :
( ( sK0 != X0 )
| ( ( w @ X1 )
= $false )
| ( $false
= ( X1 @ ( sK9 @ X0 ) ) )
| ( $false
= ( sK2 @ X0 ) ) )
| ~ spl6_2
| ~ spl6_10 ),
inference(constrained_superposition,[],[f67,f162]) ).
thf(f384,plain,
( ! [X0: b > $o] :
( ( $false
= ( w @ X0 ) )
| ( $false
= ( X0 @ ( sK9 @ sK0 ) ) )
| ( $false
= ( sK2 @ sK0 ) ) )
| ~ spl6_2
| ~ spl6_10 ),
inference(equality_resolution,[],[f214]) ).
thf(f385,plain,
( ! [X0: b > $o] :
( ( $true = $false )
| ( $false
= ( w @ X0 ) )
| ( $false
= ( X0 @ ( sK9 @ sK0 ) ) ) )
| ~ spl6_2
| ~ spl6_7
| ~ spl6_10 ),
inference(forward_demodulation,[],[f384,f92]) ).
thf(f386,plain,
( ! [X0: b > $o] :
( ( $false
= ( X0 @ ( sK9 @ sK0 ) ) )
| ( $false
= ( w @ X0 ) ) )
| ~ spl6_2
| ~ spl6_7
| ~ spl6_10 ),
inference(trivial_inequality_removal,[],[f385]) ).
thf(f406,plain,
( ! [X0: a] :
( ( $true = $false )
| ( $false
= ( sK2 @ X0 ) )
| ( $false
= ( w
@ ^ [Y0: b] :
( sK5
@ ( ^ [Y1: b] : Y1
@ Y0 ) ) ) )
| ( sK0 != X0 ) )
| ~ spl6_2
| ~ spl6_7
| ~ spl6_10 ),
inference(constrained_superposition,[],[f161,f386]) ).
thf(f446,plain,
( ! [X0: a] :
( ( $false
= ( sK2 @ X0 ) )
| ( $false
= ( w
@ ^ [Y0: b] :
( sK5
@ ( ^ [Y1: b] : Y1
@ Y0 ) ) ) )
| ( sK0 != X0 ) )
| ~ spl6_2
| ~ spl6_7
| ~ spl6_10 ),
inference(trivial_inequality_removal,[],[f406]) ).
thf(f447,plain,
( ! [X0: a] :
( ( $false
= ( sK2 @ X0 ) )
| ( $false
= ( w @ sK5 ) )
| ( sK0 != X0 ) )
| ~ spl6_2
| ~ spl6_7
| ~ spl6_10 ),
inference(beta-eta_normalization,[],[f446]) ).
thf(f486,plain,
( ! [X0: a] :
( ( $true = $false )
| ( $false
= ( sK2 @ X0 ) )
| ( sK0 != X0 ) )
| ~ spl6_2
| ~ spl6_7
| ~ spl6_8
| ~ spl6_10 ),
inference(forward_demodulation,[],[f447,f98]) ).
thf(f487,plain,
( ! [X0: a] :
( ( sK0 != X0 )
| ( $false
= ( sK2 @ X0 ) ) )
| ~ spl6_2
| ~ spl6_7
| ~ spl6_8
| ~ spl6_10 ),
inference(trivial_inequality_removal,[],[f486]) ).
thf(f509,plain,
( ( $false
= ( sK2 @ sK0 ) )
| ~ spl6_2
| ~ spl6_7
| ~ spl6_8
| ~ spl6_10 ),
inference(equality_resolution,[],[f487]) ).
thf(f510,plain,
( ( $true = $false )
| ~ spl6_2
| ~ spl6_7
| ~ spl6_8
| ~ spl6_10 ),
inference(constrained_superposition,[],[f509,f92]) ).
thf(f514,plain,
( $false
| ~ spl6_2
| ~ spl6_7
| ~ spl6_8
| ~ spl6_10 ),
inference(trivial_inequality_removal,[],[f510]) ).
thf(f515,plain,
( ~ spl6_2
| ~ spl6_7
| ~ spl6_8
| ~ spl6_10 ),
inference(avatar_contradiction_clause,[],[f514]) ).
thf(f602,plain,
( ! [X1: a] :
( ( sK2 @ X1 )
= ( ^ [Y0: a] :
( ?? @ b
@ ^ [Y1: b] :
( ( sK4 @ Y1 )
& ( ( f @ Y1 )
= Y0 ) ) )
@ X1 ) )
| ~ spl6_5 ),
inference(argument_congruence,[],[f81]) ).
thf(f604,plain,
( ! [X1: a] :
( ( $false
= ( sK2 @ X1 ) )
| ( $true
= ( ^ [Y0: a] :
( ?? @ b
@ ^ [Y1: b] :
( ( sK4 @ Y1 )
& ( ( f @ Y1 )
= Y0 ) ) )
@ X1 ) ) )
| ~ spl6_5 ),
inference(iff_proxy_clausification,[],[f602]) ).
thf(f605,plain,
( ! [X1: a] :
( ( $false
= ( sK2 @ X1 ) )
| ( $true
= ( ?? @ b
@ ^ [Y0: b] :
( ( sK4 @ Y0 )
& ( ( f @ Y0 )
= X1 ) ) ) ) )
| ~ spl6_5 ),
inference(beta-eta_normalization,[],[f604]) ).
thf(f606,plain,
( ! [X1: a] :
( ( $false
= ( sK2 @ X1 ) )
| ( $true
= ( ^ [Y0: b] :
( ( sK4 @ Y0 )
& ( ( f @ Y0 )
= X1 ) )
@ ( sK14 @ X1 ) ) ) )
| ~ spl6_5 ),
inference(sigma_proxy_clausification,[],[f605]) ).
thf(f607,plain,
( ! [X1: a] :
( ( $false
= ( sK2 @ X1 ) )
| ( $true
= ( ( sK4 @ ( sK14 @ X1 ) )
& ( ( f @ ( sK14 @ X1 ) )
= X1 ) ) ) )
| ~ spl6_5 ),
inference(beta-eta_normalization,[],[f606]) ).
thf(f608,plain,
( ! [X1: a] :
( ( $false
= ( sK2 @ X1 ) )
| ( $true
= ( ( f @ ( sK14 @ X1 ) )
= X1 ) ) )
| ~ spl6_5 ),
inference(and_proxy_clausification,[],[f607]) ).
thf(f609,plain,
( ! [X1: a] :
( ( $true
= ( sK4 @ ( sK14 @ X1 ) ) )
| ( $false
= ( sK2 @ X1 ) ) )
| ~ spl6_5 ),
inference(and_proxy_clausification,[],[f607]) ).
thf(f610,plain,
( ! [X1: a] :
( ( ( f @ ( sK14 @ X1 ) )
= X1 )
| ( $false
= ( sK2 @ X1 ) ) )
| ~ spl6_5 ),
inference(equality_proxy_clausification,[],[f608]) ).
thf(f617,plain,
( ! [X0: a,X1: b > $o] :
( ( sK0 != X0 )
| ( ( w @ X1 )
= $false )
| ( $false
= ( X1 @ ( sK14 @ X0 ) ) )
| ( $false
= ( sK2 @ X0 ) ) )
| ~ spl6_2
| ~ spl6_5 ),
inference(constrained_superposition,[],[f67,f610]) ).
thf(f858,plain,
( ! [X0: b > $o] :
( ( $false
= ( w @ X0 ) )
| ( $false
= ( X0 @ ( sK14 @ sK0 ) ) )
| ( $false
= ( sK2 @ sK0 ) ) )
| ~ spl6_2
| ~ spl6_5 ),
inference(equality_resolution,[],[f617]) ).
thf(f859,plain,
( ! [X0: b > $o] :
( ( $true = $false )
| ( $false
= ( w @ X0 ) )
| ( $false
= ( X0 @ ( sK14 @ sK0 ) ) ) )
| ~ spl6_2
| ~ spl6_5
| ~ spl6_7 ),
inference(forward_demodulation,[],[f858,f92]) ).
thf(f860,plain,
( ! [X0: b > $o] :
( ( $false
= ( X0 @ ( sK14 @ sK0 ) ) )
| ( $false
= ( w @ X0 ) ) )
| ~ spl6_2
| ~ spl6_5
| ~ spl6_7 ),
inference(trivial_inequality_removal,[],[f859]) ).
thf(f893,plain,
( ! [X0: a] :
( ( $true = $false )
| ( $false
= ( sK2 @ X0 ) )
| ( $false
= ( w
@ ^ [Y0: b] :
( sK4
@ ( ^ [Y1: b] : Y1
@ Y0 ) ) ) )
| ( sK0 != X0 ) )
| ~ spl6_2
| ~ spl6_5
| ~ spl6_7 ),
inference(constrained_superposition,[],[f609,f860]) ).
thf(f908,plain,
( ! [X0: a] :
( ( $false
= ( sK2 @ X0 ) )
| ( $false
= ( w
@ ^ [Y0: b] :
( sK4
@ ( ^ [Y1: b] : Y1
@ Y0 ) ) ) )
| ( sK0 != X0 ) )
| ~ spl6_2
| ~ spl6_5
| ~ spl6_7 ),
inference(trivial_inequality_removal,[],[f893]) ).
thf(f909,plain,
( ! [X0: a] :
( ( $false
= ( sK2 @ X0 ) )
| ( $false
= ( w @ sK4 ) )
| ( sK0 != X0 ) )
| ~ spl6_2
| ~ spl6_5
| ~ spl6_7 ),
inference(beta-eta_normalization,[],[f908]) ).
thf(f959,plain,
( ! [X0: a] :
( ( $true = $false )
| ( $false
= ( sK2 @ X0 ) )
| ( sK0 != X0 ) )
| ~ spl6_2
| ~ spl6_3
| ~ spl6_5
| ~ spl6_7 ),
inference(forward_demodulation,[],[f909,f72]) ).
thf(f960,plain,
( ! [X0: a] :
( ( sK0 != X0 )
| ( $false
= ( sK2 @ X0 ) ) )
| ~ spl6_2
| ~ spl6_3
| ~ spl6_5
| ~ spl6_7 ),
inference(trivial_inequality_removal,[],[f959]) ).
thf(f966,plain,
( ( $false
= ( sK2 @ sK0 ) )
| ~ spl6_2
| ~ spl6_3
| ~ spl6_5
| ~ spl6_7 ),
inference(equality_resolution,[],[f960]) ).
thf(f974,plain,
( ( $true = $false )
| ~ spl6_2
| ~ spl6_3
| ~ spl6_5
| ~ spl6_7 ),
inference(constrained_superposition,[],[f966,f92]) ).
thf(f990,plain,
( $false
| ~ spl6_2
| ~ spl6_3
| ~ spl6_5
| ~ spl6_7 ),
inference(trivial_inequality_removal,[],[f974]) ).
thf(f991,plain,
( ~ spl6_2
| ~ spl6_3
| ~ spl6_5
| ~ spl6_7 ),
inference(avatar_contradiction_clause,[],[f990]) ).
thf(f1149,plain,
( ! [X0: a > $o] :
( ( sK2 != X0 )
| ( $false
= ( w
@ ^ [Y0: b] :
( sK4
@ ( ^ [Y1: b] : Y1
@ Y0 ) ) ) )
| ( $false
= ( X0 @ sK0 ) ) )
| ~ spl6_1
| ~ spl6_5 ),
inference(constrained_superposition,[],[f64,f81]) ).
thf(f1156,plain,
( ! [X0: a > $o] :
( ( sK2 != X0 )
| ( $false
= ( w @ sK4 ) )
| ( $false
= ( X0 @ sK0 ) ) )
| ~ spl6_1
| ~ spl6_5 ),
inference(beta-eta_normalization,[],[f1149]) ).
thf(f1170,plain,
( ! [X0: a > $o] :
( ( $true = $false )
| ( sK2 != X0 )
| ( $false
= ( X0 @ sK0 ) ) )
| ~ spl6_1
| ~ spl6_3
| ~ spl6_5 ),
inference(forward_demodulation,[],[f1156,f72]) ).
thf(f1171,plain,
( ! [X0: a > $o] :
( ( sK2 != X0 )
| ( $false
= ( X0 @ sK0 ) ) )
| ~ spl6_1
| ~ spl6_3
| ~ spl6_5 ),
inference(trivial_inequality_removal,[],[f1170]) ).
thf(f1173,plain,
( ( $false
= ( sK2 @ sK0 ) )
| ~ spl6_1
| ~ spl6_3
| ~ spl6_5 ),
inference(equality_resolution,[],[f1171]) ).
thf(f1183,plain,
( ( $true = $false )
| ~ spl6_1
| ~ spl6_3
| ~ spl6_5
| ~ spl6_7 ),
inference(constrained_superposition,[],[f1173,f92]) ).
thf(f1199,plain,
( $false
| ~ spl6_1
| ~ spl6_3
| ~ spl6_5
| ~ spl6_7 ),
inference(trivial_inequality_removal,[],[f1183]) ).
thf(f1200,plain,
( ~ spl6_1
| ~ spl6_3
| ~ spl6_5
| ~ spl6_7 ),
inference(avatar_contradiction_clause,[],[f1199]) ).
cnf(s1,plain,
( spl6_1
| spl6_2 ),
inference(sat_conversion,[],[f68]) ).
cnf(s2,plain,
( spl6_3
| spl6_4 ),
inference(sat_conversion,[],[f77]) ).
cnf(s3,plain,
( spl6_4
| spl6_5 ),
inference(sat_conversion,[],[f82]) ).
cnf(s4,plain,
( spl6_3
| spl6_6 ),
inference(sat_conversion,[],[f87]) ).
cnf(s5,plain,
( spl6_5
| spl6_6 ),
inference(sat_conversion,[],[f88]) ).
cnf(s6,plain,
( spl6_4
| spl6_7 ),
inference(sat_conversion,[],[f93]) ).
cnf(s7,plain,
( spl6_6
| spl6_7 ),
inference(sat_conversion,[],[f94]) ).
cnf(s8,plain,
( spl6_8
| spl6_9 ),
inference(sat_conversion,[],[f103]) ).
cnf(s9,plain,
( spl6_9
| spl6_10 ),
inference(sat_conversion,[],[f108]) ).
cnf(s10,plain,
( spl6_7
| spl6_9 ),
inference(sat_conversion,[],[f109]) ).
cnf(s12,plain,
( ~ spl6_1
| ~ spl6_4
| ~ spl6_6
| ~ spl6_9 ),
inference(sat_conversion,[],[f150]) ).
cnf(s14,plain,
( ~ spl6_1
| ~ spl6_7
| ~ spl6_8
| ~ spl6_10 ),
inference(sat_conversion,[],[f180]) ).
cnf(s16,plain,
( ~ spl6_2
| ~ spl6_4
| ~ spl6_6
| ~ spl6_9 ),
inference(sat_conversion,[],[f202]) ).
cnf(s25,plain,
( ~ spl6_2
| ~ spl6_7
| ~ spl6_8
| ~ spl6_10 ),
inference(sat_conversion,[],[f515]) ).
cnf(s32,plain,
( ~ spl6_2
| ~ spl6_3
| ~ spl6_5
| ~ spl6_7 ),
inference(sat_conversion,[],[f991]) ).
cnf(s43,plain,
( ~ spl6_1
| ~ spl6_3
| ~ spl6_5
| ~ spl6_7 ),
inference(sat_conversion,[],[f1200]) ).
cnf(s46,plain,
( spl6_9
| ~ spl6_2 ),
inference(rat,[],[s25,s8,s9,s10]) ).
cnf(s47,plain,
( spl6_3
| ~ spl6_2 ),
inference(rat,[],[s16,s2,s4,s46]) ).
cnf(s48,plain,
( spl6_6
| ~ spl6_2 ),
inference(rat,[],[s32,s5,s7,s47]) ).
cnf(s49,plain,
~ spl6_2,
inference(rat,[],[s32,s3,s6,s16,s48,s47,s46]) ).
cnf(s50,plain,
spl6_1,
inference(rat,[],[s1,s49]) ).
cnf(s51,plain,
( spl6_6
| ~ spl6_3 ),
inference(rat,[],[s43,s5,s7,s50]) ).
cnf(s52,plain,
spl6_9,
inference(rat,[],[s14,s8,s9,s10,s50]) ).
cnf(s53,plain,
~ spl6_3,
inference(rat,[],[s43,s3,s6,s12,s51,s50,s52]) ).
cnf(s54,plain,
spl6_6,
inference(rat,[],[s4,s53]) ).
cnf(s55,plain,
spl6_4,
inference(rat,[],[s2,s53]) ).
cnf(s56,plain,
$false,
inference(rat,[],[s12,s52,s50,s54,s55]) ).
thf(f1208,plain,
$false,
inference(avatar_sat_refutation,[],[s56]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SEV223^5 : TPTP v9.3.1. Released v4.0.0.
% 0.00/0.06 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.08/0.19 % Computer : n010.cluster.edu
% 0.08/0.19 % Model : x86_64 x86_64
% 0.08/0.19 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.19 % Memory : 8046.5625MB
% 0.08/0.19 % OS : Linux 6.8.0-71-generic
% 0.08/0.19 % CPULimit : 300
% 0.08/0.19 % WCLimit : 300
% 0.08/0.19 % DateTime : Tue Sep 29 15:23:48 UTC 2026
% 0.08/0.19 % CPUTime :
% 0.08/0.20 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.08/0.23 Running first-order model finding
% 0.08/0.23 Running: /export/starexec/sandbox2/solver/bin/vampire-ho --input_syntax tptp --output_axiom_names on --mode casc --intent sat -m 16384 --cores 7 -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.85/0.42 % (2990553)Will run a generic schedule for satisfiability detection.
% 0.85/0.42 % (2990559)% WARNING: option uhcvi not known.
% 0.85/0.42 % (2990559)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=3477638442:i=135531:add=off:rawr=on_2999 on theBenchmark for (2999ds/135531Mi)
% 0.85/0.42 % (2990558)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=2558187459_2999 on theBenchmark for (2999ds/0Mi)
% 0.85/0.42 % (2990560)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=1927494270:i=88024:add=on:rawr=on_2999 on theBenchmark for (2999ds/88024Mi)
% 0.85/0.42 % (2990559)WARNING: Not using 'newcnf' as currently not compatible with higher-order inputs.
% 0.85/0.42 % (2990559)WARNING: Look ahead literal selection is not currently compatible with higher-order. Ignoring request to use
% 0.85/0.42 % Exception at run slice level
% 0.85/0.42 User error: Finite model building is currently not compatible with polymorphism or higher-order constructs
% 0.85/0.42 % (2990564)ott-3_16_to=lpo:sil=16000:sp=arity:fd=off:rp=on:random_seed=1984807472:i=159:bs=unit_only:nicw=on:fsr=off:amm=off_2999 on theBenchmark for (2999ds/159Mi)
% 0.85/0.42 % (2990562)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=625739433:i=116_2999 on theBenchmark for (2999ds/116Mi)
% 0.85/0.42 % (2990562)WARNING: Not using 'newcnf' as currently not compatible with higher-order inputs.
% 0.85/0.42 % (2990563)ott+1_1_to=lpo:sil=16000:sp=reverse_arity:erd=off:random_seed=617923680:i=131_2999 on theBenchmark for (2999ds/131Mi)
% 0.85/0.42 % (2990561)dis+10_1_sil=32000:sp=arity:random_seed=1123048117:i=103:fgj=on_2999 on theBenchmark for (2999ds/103Mi)
% 0.85/0.42 % (2990568)fmb+10_1_fmbas=predicate:sil=64000:sas=cadical:random_seed=2367588694:i=714:nm=2_2999 on theBenchmark for (2999ds/714Mi)
% 0.85/0.42 % Exception at run slice level
% 0.85/0.42 User error: Finite model building is currently not compatible with polymorphism or higher-order constructs
% 0.85/0.42 % (2990574)ott+32_1_sil=16000:bsd=on:sp=const_max:bce=on:random_seed=524343992:i=131:bd=preordered:fsd=on_2999 on theBenchmark for (2999ds/131Mi)
% 0.85/0.42 % (2990561)Instruction limit reached!
% 0.85/0.42 % (2990561)------------------------------
% 0.85/0.42 % (2990561)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.85/0.42 % (2990561)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.85/0.42 % (2990561)CaDiCaL version: 2.1.3
% 0.85/0.42 % (2990561)Termination reason: Instruction limit
% 0.85/0.42 % (2990561)Termination phase: Saturation
% 0.85/0.42 % (2990561)Time elapsed: 0.055 s
% 0.85/0.42 % (2990561)Peak memory usage: 12 MB
% 0.85/0.42 % (2990561)Instructions burned: 103 (million)
% 0.85/0.42 % (2990562)Instruction limit reached!
% 0.85/0.42 % (2990562)------------------------------
% 0.85/0.42 % (2990562)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.85/0.42 % (2990562)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.85/0.42 % (2990562)CaDiCaL version: 2.1.3
% 0.85/0.42 % (2990562)Termination reason: Instruction limit
% 0.85/0.42 % (2990562)Termination phase: Saturation
% 0.85/0.42 % (2990562)Time elapsed: 0.065 s
% 0.85/0.42 % (2990562)Peak memory usage: 12 MB
% 0.85/0.42 % (2990562)Instructions burned: 116 (million)
% 0.85/0.42 % (2990563)Instruction limit reached!
% 0.85/0.42 % (2990563)------------------------------
% 0.85/0.42 % (2990563)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.85/0.42 % (2990563)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.85/0.42 % (2990563)CaDiCaL version: 2.1.3
% 0.85/0.42 % (2990563)Termination reason: Instruction limit
% 0.85/0.42 % (2990563)Termination phase: Saturation
% 0.85/0.42 % (2990563)Time elapsed: 0.064 s
% 0.85/0.42 % (2990563)Peak memory usage: 12 MB
% 0.85/0.42 % (2990563)Instructions burned: 132 (million)
% 0.85/0.42 % (2990564)Instruction limit reached!
% 0.85/0.42 % (2990564)------------------------------
% 0.85/0.42 % (2990564)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.85/0.42 % (2990564)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.85/0.42 % (2990564)CaDiCaL version: 2.1.3
% 0.85/0.42 % (2990564)Termination reason: Instruction limit
% 0.85/0.42 % (2990564)Termination phase: Saturation
% 0.85/0.42 % (2990564)Time elapsed: 0.076 s
% 0.85/0.42 % (2990564)Peak memory usage: 13 MB
% 0.85/0.42 % (2990564)Instructions burned: 164 (million)
% 0.85/0.42 % (2990576)dis+11_32_anc=none:slsqr=2,1:sil=64000:sas=cadical:lma=off:lsd=50:s2agt=8:slsqc=1:kmz=on:newcnf=on:slsq=on:random_seed=3147351039:i=684:slsql=off:bs=unit_only:nicw=on:rawr=on_2998 on theBenchmark for (2998ds/684Mi)
% 0.85/0.42 % (2990576)WARNING: Not using 'newcnf' as currently not compatible with higher-order inputs.
% 0.85/0.42 % (2990576)WARNING: Look ahead literal selection is not currently compatible with higher-order. Ignoring request to use
% 0.85/0.42 % (2990577)ott-21_1_sil=16000:fs=off:random_seed=2271856952:i=180:av=off:fsr=off_2998 on theBenchmark for (2998ds/180Mi)
% 0.85/0.42 % (2990579)fmb+10_1_sil=64000:erd=off:updr=off:random_seed=175062580:fmbsr=1.3:i=865:ins=25_2998 on theBenchmark for (2998ds/865Mi)
% 0.85/0.42 % Exception at run slice level
% 0.85/0.42 User error: Finite model building is currently not compatible with polymorphism or higher-order constructs
% 0.85/0.42 % (2990578)dis+10_4_sil=64000:sp=reverse_arity:bsr=on:sac=on:cn=on:random_seed=4047885293:i=477:bd=all_2998 on theBenchmark for (2998ds/477Mi)
% 0.85/0.42 % (2990574)Instruction limit reached!
% 0.85/0.42 % (2990574)------------------------------
% 0.85/0.42 % (2990574)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.85/0.42 % (2990574)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.85/0.42 % (2990574)CaDiCaL version: 2.1.3
% 0.85/0.42 % (2990574)Termination reason: Instruction limit
% 0.85/0.42 % (2990574)Termination phase: Saturation
% 0.85/0.42 % (2990574)Time elapsed: 0.075 s
% 0.85/0.42 % (2990574)Peak memory usage: 12 MB
% 0.85/0.42 % (2990574)Instructions burned: 131 (million)
% 0.85/0.42 % (2990583)ott+10_1_to=lpo:sil=64000:tgt=full:sp=arity:spb=goal_then_units:random_seed=2859937666:i=1179_2998 on theBenchmark for (2998ds/1179Mi)
% 0.85/0.42 % (2990585)fmb+10_1_sil=64000:erd=off:fmbss=14:random_seed=1030769046:i=889:ins=1_2998 on theBenchmark for (2998ds/889Mi)
% 0.85/0.42 % Exception at run slice level
% 0.85/0.42 User error: Finite model building is currently not compatible with polymorphism or higher-order constructs
% 0.85/0.42 % (2990576) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-2990553-2990576"...
% 0.85/0.42 % (2990560) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-2990553-2990560"...
% 0.85/0.42 % (2990576)...printing done.
% 0.85/0.42 % (2990576)Refutation found. Thanks to Tanya!
% 0.85/0.42 % SZS status Theorem for theBenchmark
% 0.85/0.42 % SZS output start Proof for theBenchmark
% See solution above
% 0.85/0.42 % (2990576)------------------------------
% 0.85/0.42 % (2990576)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.85/0.42 % (2990576)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.85/0.42 % (2990576)CaDiCaL version: 2.1.3
% 0.85/0.42 % (2990576)Termination reason: Refutation
% 0.85/0.42 % (2990576)Time elapsed: 0.049 s
% 0.85/0.42 % (2990576)Peak memory usage: 13 MB
% 0.85/0.42 % (2990576)Instructions burned: 91 (million)
% 0.85/0.42 % (2990553)Success in time 0.182 s
% 0.85/0.42 % Vampire exiting
%------------------------------------------------------------------------------