%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : SEU550^2 : TPTP v9.3.1. Bugfixed v5.2.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% Computer : n007.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 08:32:24 AM UTC 2026
% Result : Theorem 0.07s 0.25s
% Output : Refutation 0.07s
% Verified :
% SZS Type : Refutation
% Derivation depth : 30
% Number of leaves : 10
% Syntax : Number of formulae : 159 ( 13 unt; 0 typ; 8 def)
% Number of atoms : 1100 ( 320 equ; 0 cnn)
% Maximal formula atoms : 5 ( 6 avg)
% Number of connectives : 1080 ( 196 ~; 300 |; 33 &; 425 @)
% ( 14 <=>; 64 =>; 0 <=; 0 <~>)
% Maximal formula depth : 10 ( 4 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 20 ( 20 >; 0 *; 0 +; 0 <<)
% Number of symbols : 31 ( 26 usr; 14 con; 0-4 aty)
% ( 34 !!; 14 ??; 0 @@+; 0 @@-)
% Number of variables : 208 ( 0 sgn 110 !; 4 ?; 208 :)
% Comments :
%------------------------------------------------------------------------------
thf(type_def_5,type,
sTfun: ( $tType * $tType ) > $tType ).
thf(func_def_0,type,
exu: ( $i > $o ) > $o ).
thf(func_def_2,type,
vSIGMA:
!>[X0: $tType] : ( ( X0 > $o ) > $o ) ).
thf(func_def_3,type,
vAND: $o > $o > $o ).
thf(func_def_4,type,
db1:
!>[X0: $tType] : X0 ).
thf(func_def_5,type,
db0:
!>[X0: $tType] : X0 ).
thf(func_def_6,type,
vPI:
!>[X0: $tType] : ( ( X0 > $o ) > $o ) ).
thf(func_def_7,type,
vIMP: $o > $o > $o ).
thf(func_def_8,type,
db2:
!>[X0: $tType] : X0 ).
thf(func_def_9,type,
vEQ:
!>[X0: $tType] : ( X0 > X0 > $o ) ).
thf(func_def_10,type,
vLAM:
!>[X0: $tType,X1: $tType] : ( X1 > X0 > X1 ) ).
thf(func_def_11,type,
sK0: $i > $o ).
thf(func_def_12,type,
sK1: $i > $o ).
thf(func_def_15,type,
vNOT: $o > $o ).
thf(func_def_16,type,
sK2: $i > $i ).
thf(func_def_17,type,
sK3: $i > $i ).
thf(f1,axiom,
( exu
= ( ^ [X0: $i > $o] :
? [X1: $i] :
( ! [X2: $i] :
( ( X0 @ X2 )
=> ( X1 = X2 ) )
& ( X0 @ X1 ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',exu_def) ).
thf(f2,conjecture,
! [X0: $i > $o,X1: $i > $o] :
( ! [X2: $i,X3: $i] :
( ( X2 = X3 )
=> ( ( X0 @ X2 )
<=> ( X1 @ X3 ) ) )
=> ( ( exu
@ ^ [X2: $i] : ( X0 @ X2 ) )
<=> ( exu
@ ^ [X2: $i] : ( X1 @ X2 ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',exu__Cong) ).
thf(f3,negated_conjecture,
~ ! [X0: $i > $o,X1: $i > $o] :
( ! [X2: $i,X3: $i] :
( ( X2 = X3 )
=> ( ( X0 @ X2 )
<=> ( X1 @ X3 ) ) )
=> ( ( exu
@ ^ [X2: $i] : ( X0 @ X2 ) )
<=> ( exu
@ ^ [X2: $i] : ( X1 @ X2 ) ) ) ),
inference(negated_conjecture,[status(cth)],[f2]) ).
thf(f4,plain,
( exu
= ( ^ [X0: $i > $o] :
? [X1: $i] :
( ! [X2: $i] :
( ( X0 @ X2 )
=> ( X1 = X2 ) )
& ( X0 @ X1 ) ) ) ),
inference(rectify,[],[f1]) ).
thf(f5,plain,
( exu
= ( ^ [Y0: $i > $o] :
( ?? @ $i
@ ^ [Y1: $i] :
( ( Y0 @ Y1 )
& ( !! @ $i
@ ^ [Y2: $i] :
( ( Y0 @ Y2 )
=> ( Y1 = Y2 ) ) ) ) ) ) ),
inference(fool_elimination,[],[f4]) ).
thf(f6,plain,
~ ! [X0: $i > $o,X1: $i > $o] :
( ! [X2: $i,X3: $i] :
( ( X2 = X3 )
=> ( ( X0 @ X2 )
<=> ( X1 @ X3 ) ) )
=> ( ( exu
@ ^ [X4: $i] : ( X0 @ X4 ) )
<=> ( exu
@ ^ [X5: $i] : ( X1 @ X5 ) ) ) ),
inference(rectify,[],[f3]) ).
thf(f7,plain,
~ ! [X0: $i > $o,X1: $i > $o] :
( ! [X2: $i,X3: $i] :
( ( X2 = X3 )
=> ( ( X0 @ X2 )
= ( X1 @ X3 ) ) )
=> ( ( exu
@ ^ [Y0: $i] : ( X0 @ Y0 ) )
= ( exu
@ ^ [Y0: $i] : ( X1 @ Y0 ) ) ) ),
inference(fool_elimination,[],[f6]) ).
thf(f8,plain,
? [X0: $i > $o,X1: $i > $o] :
( ( ( exu
@ ^ [Y0: $i] : ( X0 @ Y0 ) )
!= ( exu
@ ^ [Y0: $i] : ( X1 @ Y0 ) ) )
& ! [X2: $i,X3: $i] :
( ( ( X0 @ X2 )
= ( X1 @ X3 ) )
| ( X2 != X3 ) ) ),
inference(ennf_transformation,[],[f7]) ).
thf(f9,plain,
( ( ( exu
@ ^ [Y0: $i] : ( sK0 @ Y0 ) )
!= ( exu
@ ^ [Y0: $i] : ( sK1 @ Y0 ) ) )
& ! [X2: $i,X3: $i] :
( ( ( sK0 @ X2 )
= ( sK1 @ X3 ) )
| ( X2 != X3 ) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK0,sK1]),skolemize(X0,sK0),skolemize(X1,sK1)],[f8]) ).
thf(f10,plain,
( exu
= ( ^ [Y0: $i > $o] :
( ?? @ $i
@ ^ [Y1: $i] :
( ( Y0 @ Y1 )
& ( !! @ $i
@ ^ [Y2: $i] :
( ( Y0 @ Y2 )
=> ( Y1 = Y2 ) ) ) ) ) ) ),
inference(cnf_transformation,[],[f5]) ).
thf(f11,plain,
! [X2: $i,X3: $i] :
( ( ( sK0 @ X2 )
= ( sK1 @ X3 ) )
| ( X2 != X3 ) ),
inference(cnf_transformation,[],[f9]) ).
thf(f12,plain,
( ( exu
@ ^ [Y0: $i] : ( sK0 @ Y0 ) )
!= ( exu
@ ^ [Y0: $i] : ( sK1 @ Y0 ) ) ),
inference(cnf_transformation,[],[f9]) ).
thf(f15,plain,
( ( ^ [Y0: $i > $o] :
( ?? @ $i
@ ^ [Y1: $i] :
( ( Y0 @ Y1 )
& ( !! @ $i
@ ^ [Y2: $i] :
( ( Y0 @ Y2 )
=> ( Y1 = Y2 ) ) ) ) )
@ ^ [Y0: $i] : ( sK0 @ Y0 ) )
!= ( ^ [Y0: $i > $o] :
( ?? @ $i
@ ^ [Y1: $i] :
( ( Y0 @ Y1 )
& ( !! @ $i
@ ^ [Y2: $i] :
( ( Y0 @ Y2 )
=> ( Y1 = Y2 ) ) ) ) )
@ ^ [Y0: $i] : ( sK1 @ Y0 ) ) ),
inference(definition_unfolding,[],[f12,f10,f10]) ).
thf(f16,plain,
! [X3: $i] :
( ( sK1 @ X3 )
= ( sK0 @ X3 ) ),
inference(equality_resolution,[],[f11]) ).
thf(f17,plain,
! [X3: $i] :
( ( ( sK1 @ X3 )
= $true )
| ( $false
= ( sK0 @ X3 ) ) ),
inference(iff_proxy_clausification,[],[f16]) ).
thf(f18,plain,
! [X3: $i] :
( ( ( sK1 @ X3 )
= $false )
| ( $true
= ( sK0 @ X3 ) ) ),
inference(iff_proxy_clausification,[],[f16]) ).
thf(f19,plain,
( ( $true
= ( ^ [Y0: $i > $o] :
( ?? @ $i
@ ^ [Y1: $i] :
( ( Y0 @ Y1 )
& ( !! @ $i
@ ^ [Y2: $i] :
( ( Y0 @ Y2 )
=> ( Y1 = Y2 ) ) ) ) )
@ ^ [Y0: $i] : ( sK0 @ Y0 ) ) )
| ( $true
= ( ^ [Y0: $i > $o] :
( ?? @ $i
@ ^ [Y1: $i] :
( ( Y0 @ Y1 )
& ( !! @ $i
@ ^ [Y2: $i] :
( ( Y0 @ Y2 )
=> ( Y1 = Y2 ) ) ) ) )
@ ^ [Y0: $i] : ( sK1 @ Y0 ) ) ) ),
inference(xor_proxy_clausification,[],[f15]) ).
thf(f20,plain,
( ( $false
= ( ^ [Y0: $i > $o] :
( ?? @ $i
@ ^ [Y1: $i] :
( ( Y0 @ Y1 )
& ( !! @ $i
@ ^ [Y2: $i] :
( ( Y0 @ Y2 )
=> ( Y1 = Y2 ) ) ) ) )
@ ^ [Y0: $i] : ( sK0 @ Y0 ) ) )
| ( $false
= ( ^ [Y0: $i > $o] :
( ?? @ $i
@ ^ [Y1: $i] :
( ( Y0 @ Y1 )
& ( !! @ $i
@ ^ [Y2: $i] :
( ( Y0 @ Y2 )
=> ( Y1 = Y2 ) ) ) ) )
@ ^ [Y0: $i] : ( sK1 @ Y0 ) ) ) ),
inference(xor_proxy_clausification,[],[f15]) ).
thf(f21,plain,
( ( $false
= ( ?? @ $i
@ ^ [Y0: $i] :
( ( sK0 @ Y0 )
& ( !! @ $i
@ ^ [Y1: $i] :
( ( sK0 @ Y1 )
=> ( Y0 = Y1 ) ) ) ) ) )
| ( $false
= ( ?? @ $i
@ ^ [Y0: $i] :
( ( sK1 @ Y0 )
& ( !! @ $i
@ ^ [Y1: $i] :
( ( sK1 @ Y1 )
=> ( Y0 = Y1 ) ) ) ) ) ) ),
inference(beta-eta_normalization,[],[f20]) ).
thf(f22,plain,
! [X1: $i] :
( ( $false
= ( ^ [Y0: $i] :
( ( sK0 @ Y0 )
& ( !! @ $i
@ ^ [Y1: $i] :
( ( sK0 @ Y1 )
=> ( Y0 = Y1 ) ) ) )
@ X1 ) )
| ( $false
= ( ?? @ $i
@ ^ [Y0: $i] :
( ( sK1 @ Y0 )
& ( !! @ $i
@ ^ [Y1: $i] :
( ( sK1 @ Y1 )
=> ( Y0 = Y1 ) ) ) ) ) ) ),
inference(pi_proxy_clausification,[],[f21]) ).
thf(f23,plain,
! [X2: $i,X1: $i] :
( ( $false
= ( ^ [Y0: $i] :
( ( sK0 @ Y0 )
& ( !! @ $i
@ ^ [Y1: $i] :
( ( sK0 @ Y1 )
=> ( Y0 = Y1 ) ) ) )
@ X1 ) )
| ( $false
= ( ^ [Y0: $i] :
( ( sK1 @ Y0 )
& ( !! @ $i
@ ^ [Y1: $i] :
( ( sK1 @ Y1 )
=> ( Y0 = Y1 ) ) ) )
@ X2 ) ) ),
inference(pi_proxy_clausification,[],[f22]) ).
thf(f24,plain,
! [X2: $i,X1: $i] :
( ( $false
= ( ( sK0 @ X1 )
& ( !! @ $i
@ ^ [Y0: $i] :
( ( sK0 @ Y0 )
=> ( X1 = Y0 ) ) ) ) )
| ( $false
= ( ( sK1 @ X2 )
& ( !! @ $i
@ ^ [Y0: $i] :
( ( sK1 @ Y0 )
=> ( X2 = Y0 ) ) ) ) ) ),
inference(beta-eta_normalization,[],[f23]) ).
thf(f25,plain,
! [X2: $i,X1: $i] :
( ( $false
= ( !! @ $i
@ ^ [Y0: $i] :
( ( sK0 @ Y0 )
=> ( X1 = Y0 ) ) ) )
| ( $false
= ( ( sK1 @ X2 )
& ( !! @ $i
@ ^ [Y0: $i] :
( ( sK1 @ Y0 )
=> ( X2 = Y0 ) ) ) ) )
| ( $false
= ( sK0 @ X1 ) ) ),
inference(and_proxy_clausification,[],[f24]) ).
thf(f26,plain,
! [X2: $i,X1: $i] :
( ( $false
= ( ^ [Y0: $i] :
( ( sK0 @ Y0 )
=> ( X1 = Y0 ) )
@ ( sK2 @ X1 ) ) )
| ( $false
= ( ( sK1 @ X2 )
& ( !! @ $i
@ ^ [Y0: $i] :
( ( sK1 @ Y0 )
=> ( X2 = Y0 ) ) ) ) )
| ( $false
= ( sK0 @ X1 ) ) ),
inference(sigma_proxy_clausification,[],[f25]) ).
thf(f27,plain,
! [X2: $i,X1: $i] :
( ( $false
= ( ^ [Y0: $i] :
( ( sK0 @ Y0 )
=> ( X1 = Y0 ) )
@ ( sK2 @ X1 ) ) )
| ( $false
= ( !! @ $i
@ ^ [Y0: $i] :
( ( sK1 @ Y0 )
=> ( X2 = Y0 ) ) ) )
| ( $false
= ( sK0 @ X1 ) )
| ( $false
= ( sK1 @ X2 ) ) ),
inference(and_proxy_clausification,[],[f26]) ).
thf(f28,plain,
! [X2: $i,X1: $i] :
( ( $false
= ( ^ [Y0: $i] :
( ( sK0 @ Y0 )
=> ( X1 = Y0 ) )
@ ( sK2 @ X1 ) ) )
| ( $false
= ( ^ [Y0: $i] :
( ( sK1 @ Y0 )
=> ( X2 = Y0 ) )
@ ( sK3 @ X2 ) ) )
| ( $false
= ( sK0 @ X1 ) )
| ( $false
= ( sK1 @ X2 ) ) ),
inference(sigma_proxy_clausification,[],[f27]) ).
thf(f29,plain,
! [X2: $i,X1: $i] :
( ( $false
= ( ( sK0 @ ( sK2 @ X1 ) )
=> ( X1
= ( sK2 @ X1 ) ) ) )
| ( $false
= ( ( sK1 @ ( sK3 @ X2 ) )
=> ( X2
= ( sK3 @ X2 ) ) ) )
| ( $false
= ( sK0 @ X1 ) )
| ( $false
= ( sK1 @ X2 ) ) ),
inference(beta-eta_normalization,[],[f28]) ).
thf(f30,plain,
! [X2: $i,X1: $i] :
( ( $false
= ( X1
= ( sK2 @ X1 ) ) )
| ( $false
= ( ( sK1 @ ( sK3 @ X2 ) )
=> ( X2
= ( sK3 @ X2 ) ) ) )
| ( $false
= ( sK0 @ X1 ) )
| ( $false
= ( sK1 @ X2 ) ) ),
inference(imp_proxy_clausification,[],[f29]) ).
thf(f31,plain,
! [X2: $i,X1: $i] :
( ( $true
= ( sK0 @ ( sK2 @ X1 ) ) )
| ( $false
= ( ( sK1 @ ( sK3 @ X2 ) )
=> ( X2
= ( sK3 @ X2 ) ) ) )
| ( $false
= ( sK0 @ X1 ) )
| ( $false
= ( sK1 @ X2 ) ) ),
inference(imp_proxy_clausification,[],[f29]) ).
thf(f32,plain,
! [X2: $i,X1: $i] :
( ( $true
= ( sK0 @ ( sK2 @ X1 ) ) )
| ( $false
= ( X2
= ( sK3 @ X2 ) ) )
| ( $false
= ( sK0 @ X1 ) )
| ( $false
= ( sK1 @ X2 ) ) ),
inference(imp_proxy_clausification,[],[f31]) ).
thf(f33,plain,
! [X2: $i,X1: $i] :
( ( $true
= ( sK0 @ ( sK2 @ X1 ) ) )
| ( $true
= ( sK1 @ ( sK3 @ X2 ) ) )
| ( $false
= ( sK0 @ X1 ) )
| ( $false
= ( sK1 @ X2 ) ) ),
inference(imp_proxy_clausification,[],[f31]) ).
thf(f34,plain,
! [X2: $i,X1: $i] :
( ( $true
= ( sK0 @ ( sK2 @ X1 ) ) )
| ( ( sK3 @ X2 )
!= X2 )
| ( $false
= ( sK0 @ X1 ) )
| ( $false
= ( sK1 @ X2 ) ) ),
inference(equality_proxy_clausification,[],[f32]) ).
thf(f35,plain,
! [X2: $i,X1: $i] :
( ( ( sK2 @ X1 )
!= X1 )
| ( $false
= ( ( sK1 @ ( sK3 @ X2 ) )
=> ( X2
= ( sK3 @ X2 ) ) ) )
| ( $false
= ( sK0 @ X1 ) )
| ( $false
= ( sK1 @ X2 ) ) ),
inference(equality_proxy_clausification,[],[f30]) ).
thf(f36,plain,
! [X2: $i,X1: $i] :
( ( ( sK2 @ X1 )
!= X1 )
| ( $false
= ( X2
= ( sK3 @ X2 ) ) )
| ( $false
= ( sK0 @ X1 ) )
| ( $false
= ( sK1 @ X2 ) ) ),
inference(imp_proxy_clausification,[],[f35]) ).
thf(f37,plain,
! [X2: $i,X1: $i] :
( ( ( sK2 @ X1 )
!= X1 )
| ( $true
= ( sK1 @ ( sK3 @ X2 ) ) )
| ( $false
= ( sK0 @ X1 ) )
| ( $false
= ( sK1 @ X2 ) ) ),
inference(imp_proxy_clausification,[],[f35]) ).
thf(f38,plain,
! [X2: $i,X1: $i] :
( ( ( sK2 @ X1 )
!= X1 )
| ( ( sK3 @ X2 )
!= X2 )
| ( $false
= ( sK0 @ X1 ) )
| ( $false
= ( sK1 @ X2 ) ) ),
inference(equality_proxy_clausification,[],[f36]) ).
thf(f39,plain,
( ( $true
= ( ?? @ $i
@ ^ [Y0: $i] :
( ( sK0 @ Y0 )
& ( !! @ $i
@ ^ [Y1: $i] :
( ( sK0 @ Y1 )
=> ( Y0 = Y1 ) ) ) ) ) )
| ( $true
= ( ?? @ $i
@ ^ [Y0: $i] :
( ( sK1 @ Y0 )
& ( !! @ $i
@ ^ [Y1: $i] :
( ( sK1 @ Y1 )
=> ( Y0 = Y1 ) ) ) ) ) ) ),
inference(beta-eta_normalization,[],[f19]) ).
thf(f40,plain,
( ( $true
= ( ^ [Y0: $i] :
( ( sK0 @ Y0 )
& ( !! @ $i
@ ^ [Y1: $i] :
( ( sK0 @ Y1 )
=> ( Y0 = Y1 ) ) ) )
@ sK4 ) )
| ( $true
= ( ?? @ $i
@ ^ [Y0: $i] :
( ( sK1 @ Y0 )
& ( !! @ $i
@ ^ [Y1: $i] :
( ( sK1 @ Y1 )
=> ( Y0 = Y1 ) ) ) ) ) ) ),
inference(sigma_proxy_clausification,[],[f39]) ).
thf(f41,plain,
( ( $true
= ( ^ [Y0: $i] :
( ( sK0 @ Y0 )
& ( !! @ $i
@ ^ [Y1: $i] :
( ( sK0 @ Y1 )
=> ( Y0 = Y1 ) ) ) )
@ sK4 ) )
| ( $true
= ( ^ [Y0: $i] :
( ( sK1 @ Y0 )
& ( !! @ $i
@ ^ [Y1: $i] :
( ( sK1 @ Y1 )
=> ( Y0 = Y1 ) ) ) )
@ sK5 ) ) ),
inference(sigma_proxy_clausification,[],[f40]) ).
thf(f42,plain,
( ( $true
= ( ( sK0 @ sK4 )
& ( !! @ $i
@ ^ [Y0: $i] :
( ( sK0 @ Y0 )
=> ( sK4 = Y0 ) ) ) ) )
| ( $true
= ( ( sK1 @ sK5 )
& ( !! @ $i
@ ^ [Y0: $i] :
( ( sK1 @ Y0 )
=> ( sK5 = Y0 ) ) ) ) ) ),
inference(beta-eta_normalization,[],[f41]) ).
thf(f43,plain,
( ( $true
= ( !! @ $i
@ ^ [Y0: $i] :
( ( sK0 @ Y0 )
=> ( sK4 = Y0 ) ) ) )
| ( $true
= ( ( sK1 @ sK5 )
& ( !! @ $i
@ ^ [Y0: $i] :
( ( sK1 @ Y0 )
=> ( sK5 = Y0 ) ) ) ) ) ),
inference(and_proxy_clausification,[],[f42]) ).
thf(f44,plain,
( ( $true
= ( sK0 @ sK4 ) )
| ( $true
= ( ( sK1 @ sK5 )
& ( !! @ $i
@ ^ [Y0: $i] :
( ( sK1 @ Y0 )
=> ( sK5 = Y0 ) ) ) ) ) ),
inference(and_proxy_clausification,[],[f42]) ).
thf(f45,plain,
( ( $true
= ( sK0 @ sK4 ) )
| ( $true
= ( !! @ $i
@ ^ [Y0: $i] :
( ( sK1 @ Y0 )
=> ( sK5 = Y0 ) ) ) ) ),
inference(and_proxy_clausification,[],[f44]) ).
thf(f46,plain,
( ( $true
= ( sK0 @ sK4 ) )
| ( $true
= ( sK1 @ sK5 ) ) ),
inference(and_proxy_clausification,[],[f44]) ).
thf(f47,plain,
! [X1: $i] :
( ( $true
= ( sK0 @ sK4 ) )
| ( $true
= ( ^ [Y0: $i] :
( ( sK1 @ Y0 )
=> ( sK5 = Y0 ) )
@ X1 ) ) ),
inference(pi_proxy_clausification,[],[f45]) ).
thf(f48,plain,
! [X1: $i] :
( ( $true
= ( sK0 @ sK4 ) )
| ( $true
= ( ( sK1 @ X1 )
=> ( sK5 = X1 ) ) ) ),
inference(beta-eta_normalization,[],[f47]) ).
thf(f49,plain,
! [X1: $i] :
( ( $true
= ( sK0 @ sK4 ) )
| ( $false
= ( sK1 @ X1 ) )
| ( $true
= ( sK5 = X1 ) ) ),
inference(imp_proxy_clausification,[],[f48]) ).
thf(f50,plain,
! [X1: $i] :
( ( $true
= ( sK0 @ sK4 ) )
| ( $false
= ( sK1 @ X1 ) )
| ( sK5 = X1 ) ),
inference(equality_proxy_clausification,[],[f49]) ).
thf(f51,plain,
! [X1: $i] :
( ( $true
= ( ^ [Y0: $i] :
( ( sK0 @ Y0 )
=> ( sK4 = Y0 ) )
@ X1 ) )
| ( $true
= ( ( sK1 @ sK5 )
& ( !! @ $i
@ ^ [Y0: $i] :
( ( sK1 @ Y0 )
=> ( sK5 = Y0 ) ) ) ) ) ),
inference(pi_proxy_clausification,[],[f43]) ).
thf(f52,plain,
! [X1: $i] :
( ( $true
= ( ^ [Y0: $i] :
( ( sK0 @ Y0 )
=> ( sK4 = Y0 ) )
@ X1 ) )
| ( $true
= ( !! @ $i
@ ^ [Y0: $i] :
( ( sK1 @ Y0 )
=> ( sK5 = Y0 ) ) ) ) ),
inference(and_proxy_clausification,[],[f51]) ).
thf(f53,plain,
! [X1: $i] :
( ( $true
= ( ^ [Y0: $i] :
( ( sK0 @ Y0 )
=> ( sK4 = Y0 ) )
@ X1 ) )
| ( $true
= ( sK1 @ sK5 ) ) ),
inference(and_proxy_clausification,[],[f51]) ).
thf(f54,plain,
! [X1: $i] :
( ( $true
= ( ( sK0 @ X1 )
=> ( sK4 = X1 ) ) )
| ( $true
= ( sK1 @ sK5 ) ) ),
inference(beta-eta_normalization,[],[f53]) ).
thf(f55,plain,
! [X1: $i] :
( ( $false
= ( sK0 @ X1 ) )
| ( $true
= ( sK1 @ sK5 ) )
| ( $true
= ( sK4 = X1 ) ) ),
inference(imp_proxy_clausification,[],[f54]) ).
thf(f56,plain,
! [X1: $i] :
( ( $false
= ( sK0 @ X1 ) )
| ( $true
= ( sK1 @ sK5 ) )
| ( sK4 = X1 ) ),
inference(equality_proxy_clausification,[],[f55]) ).
thf(f57,plain,
! [X2: $i,X1: $i] :
( ( $true
= ( ^ [Y0: $i] :
( ( sK0 @ Y0 )
=> ( sK4 = Y0 ) )
@ X1 ) )
| ( $true
= ( ^ [Y0: $i] :
( ( sK1 @ Y0 )
=> ( sK5 = Y0 ) )
@ X2 ) ) ),
inference(pi_proxy_clausification,[],[f52]) ).
thf(f58,plain,
! [X2: $i,X1: $i] :
( ( $true
= ( ( sK0 @ X1 )
=> ( sK4 = X1 ) ) )
| ( $true
= ( ( sK1 @ X2 )
=> ( sK5 = X2 ) ) ) ),
inference(beta-eta_normalization,[],[f57]) ).
thf(f59,plain,
! [X2: $i,X1: $i] :
( ( $false
= ( sK0 @ X1 ) )
| ( $true
= ( ( sK1 @ X2 )
=> ( sK5 = X2 ) ) )
| ( $true
= ( sK4 = X1 ) ) ),
inference(imp_proxy_clausification,[],[f58]) ).
thf(f60,plain,
! [X2: $i,X1: $i] :
( ( $false
= ( sK0 @ X1 ) )
| ( $false
= ( sK1 @ X2 ) )
| ( $true
= ( sK4 = X1 ) )
| ( $true
= ( sK5 = X2 ) ) ),
inference(imp_proxy_clausification,[],[f59]) ).
thf(f61,plain,
! [X2: $i,X1: $i] :
( ( $false
= ( sK0 @ X1 ) )
| ( $false
= ( sK1 @ X2 ) )
| ( sK4 = X1 )
| ( $true
= ( sK5 = X2 ) ) ),
inference(equality_proxy_clausification,[],[f60]) ).
thf(f62,plain,
! [X2: $i,X1: $i] :
( ( $false
= ( sK0 @ X1 ) )
| ( $false
= ( sK1 @ X2 ) )
| ( sK4 = X1 )
| ( sK5 = X2 ) ),
inference(equality_proxy_clausification,[],[f61]) ).
thf(f64,definition,
( spl6_1
<=> ! [X2: $i] :
( ( $true
= ( sK1 @ ( sK3 @ X2 ) ) )
| ( $false
= ( sK1 @ X2 ) ) ) ),
introduced(definition,[new_symbols(definition,[spl6_1])],[avatar_definition]) ).
thf(f65,plain,
( ! [X2: $i] :
( ( $true
= ( sK1 @ ( sK3 @ X2 ) ) )
| ( $false
= ( sK1 @ X2 ) ) )
| ~ spl6_1 ),
inference(avatar_component_clause,[],[f64]) ).
thf(f67,definition,
( spl6_2
<=> ! [X1: $i] :
( ( $true
= ( sK0 @ ( sK2 @ X1 ) ) )
| ( $false
= ( sK0 @ X1 ) ) ) ),
introduced(definition,[new_symbols(definition,[spl6_2])],[avatar_definition]) ).
thf(f68,plain,
( ! [X1: $i] :
( ( $true
= ( sK0 @ ( sK2 @ X1 ) ) )
| ( $false
= ( sK0 @ X1 ) ) )
| ~ spl6_2 ),
inference(avatar_component_clause,[],[f67]) ).
thf(f69,plain,
( spl6_1
| spl6_2 ),
inference(avatar_split_clause,[],[f33,f67,f64]) ).
thf(f71,definition,
( spl6_3
<=> ! [X2: $i] :
( ( ( sK3 @ X2 )
!= X2 )
| ( $false
= ( sK1 @ X2 ) ) ) ),
introduced(definition,[new_symbols(definition,[spl6_3])],[avatar_definition]) ).
thf(f72,plain,
( ! [X2: $i] :
( ( $false
= ( sK1 @ X2 ) )
| ( ( sK3 @ X2 )
!= X2 ) )
| ~ spl6_3 ),
inference(avatar_component_clause,[],[f71]) ).
thf(f73,plain,
( spl6_3
| spl6_2 ),
inference(avatar_split_clause,[],[f34,f67,f71]) ).
thf(f75,definition,
( spl6_4
<=> ! [X1: $i] :
( ( ( sK2 @ X1 )
!= X1 )
| ( $false
= ( sK0 @ X1 ) ) ) ),
introduced(definition,[new_symbols(definition,[spl6_4])],[avatar_definition]) ).
thf(f76,plain,
( ! [X1: $i] :
( ( $false
= ( sK0 @ X1 ) )
| ( ( sK2 @ X1 )
!= X1 ) )
| ~ spl6_4 ),
inference(avatar_component_clause,[],[f75]) ).
thf(f77,plain,
( spl6_1
| spl6_4 ),
inference(avatar_split_clause,[],[f37,f75,f64]) ).
thf(f78,plain,
( spl6_3
| spl6_4 ),
inference(avatar_split_clause,[],[f38,f75,f71]) ).
thf(f80,definition,
( spl6_5
<=> ( $true
= ( sK1 @ sK5 ) ) ),
introduced(definition,[new_symbols(definition,[spl6_5])],[avatar_definition]) ).
thf(f82,plain,
( ( $true
= ( sK1 @ sK5 ) )
| ~ spl6_5 ),
inference(avatar_component_clause,[],[f80]) ).
thf(f84,definition,
( spl6_6
<=> ( $true
= ( sK0 @ sK4 ) ) ),
introduced(definition,[new_symbols(definition,[spl6_6])],[avatar_definition]) ).
thf(f86,plain,
( ( $true
= ( sK0 @ sK4 ) )
| ~ spl6_6 ),
inference(avatar_component_clause,[],[f84]) ).
thf(f87,plain,
( spl6_5
| spl6_6 ),
inference(avatar_split_clause,[],[f46,f84,f80]) ).
thf(f89,definition,
( spl6_7
<=> ! [X1: $i] :
( ( $false
= ( sK1 @ X1 ) )
| ( sK5 = X1 ) ) ),
introduced(definition,[new_symbols(definition,[spl6_7])],[avatar_definition]) ).
thf(f90,plain,
( ! [X1: $i] :
( ( $false
= ( sK1 @ X1 ) )
| ( sK5 = X1 ) )
| ~ spl6_7 ),
inference(avatar_component_clause,[],[f89]) ).
thf(f91,plain,
( spl6_7
| spl6_6 ),
inference(avatar_split_clause,[],[f50,f84,f89]) ).
thf(f93,definition,
( spl6_8
<=> ! [X1: $i] :
( ( $false
= ( sK0 @ X1 ) )
| ( sK4 = X1 ) ) ),
introduced(definition,[new_symbols(definition,[spl6_8])],[avatar_definition]) ).
thf(f94,plain,
( ! [X1: $i] :
( ( $false
= ( sK0 @ X1 ) )
| ( sK4 = X1 ) )
| ~ spl6_8 ),
inference(avatar_component_clause,[],[f93]) ).
thf(f95,plain,
( spl6_5
| spl6_8 ),
inference(avatar_split_clause,[],[f56,f93,f80]) ).
thf(f96,plain,
( spl6_7
| spl6_8 ),
inference(avatar_split_clause,[],[f62,f93,f89]) ).
thf(f107,plain,
( ! [X0: $i] :
( ( $true = $false )
| ( sK5 = X0 )
| ( $false
= ( sK0 @ X0 ) ) )
| ~ spl6_7 ),
inference(constrained_superposition,[],[f90,f17]) ).
thf(f108,plain,
( ! [X0: $i] :
( ( $false
= ( sK0 @ X0 ) )
| ( sK5 = X0 ) )
| ~ spl6_7 ),
inference(trivial_inequality_removal,[],[f107]) ).
thf(f113,plain,
( ( $true = $false )
| ( $true
= ( sK0 @ sK5 ) )
| ~ spl6_5 ),
inference(constrained_superposition,[],[f82,f18]) ).
thf(f116,plain,
( ( $true
= ( sK0 @ sK5 ) )
| ~ spl6_5 ),
inference(trivial_inequality_removal,[],[f113]) ).
thf(f122,plain,
( ( $true = $false )
| ( sK5
!= ( sK2 @ sK5 ) )
| ~ spl6_4
| ~ spl6_5 ),
inference(constrained_superposition,[],[f116,f76]) ).
thf(f123,plain,
( ( sK5
!= ( sK2 @ sK5 ) )
| ~ spl6_4
| ~ spl6_5 ),
inference(trivial_inequality_removal,[],[f122]) ).
thf(f132,plain,
( ! [X0: $i] :
( ( $true = $false )
| ( $false
= ( sK0 @ X0 ) )
| ( sK5
= ( sK2 @ X0 ) ) )
| ~ spl6_2
| ~ spl6_7 ),
inference(constrained_superposition,[],[f68,f108]) ).
thf(f133,plain,
( ! [X0: $i] :
( ( $false
= ( sK0 @ X0 ) )
| ( sK5
= ( sK2 @ X0 ) ) )
| ~ spl6_2
| ~ spl6_7 ),
inference(trivial_inequality_removal,[],[f132]) ).
thf(f136,plain,
( ( $true = $false )
| ( sK5
= ( sK2 @ sK5 ) )
| ~ spl6_2
| ~ spl6_5
| ~ spl6_7 ),
inference(constrained_superposition,[],[f133,f116]) ).
thf(f145,plain,
( ( sK5
= ( sK2 @ sK5 ) )
| ~ spl6_2
| ~ spl6_5
| ~ spl6_7 ),
inference(trivial_inequality_removal,[],[f136]) ).
thf(f148,plain,
( $false
| ~ spl6_2
| ~ spl6_4
| ~ spl6_5
| ~ spl6_7 ),
inference(forward_subsumption_resolution,[],[f145,f123]) ).
thf(f149,plain,
( ~ spl6_2
| ~ spl6_4
| ~ spl6_5
| ~ spl6_7 ),
inference(avatar_contradiction_clause,[],[f148]) ).
thf(f160,plain,
( ( $true = $false )
| ( sK4
!= ( sK2 @ sK4 ) )
| ~ spl6_4
| ~ spl6_6 ),
inference(constrained_superposition,[],[f76,f86]) ).
thf(f161,plain,
( ( sK4
!= ( sK2 @ sK4 ) )
| ~ spl6_4
| ~ spl6_6 ),
inference(trivial_inequality_removal,[],[f160]) ).
thf(f175,plain,
( ! [X0: $i] :
( ( $true = $false )
| ( $false
= ( sK0 @ X0 ) )
| ( sK4
= ( sK2 @ X0 ) ) )
| ~ spl6_2
| ~ spl6_8 ),
inference(constrained_superposition,[],[f68,f94]) ).
thf(f176,plain,
( ! [X0: $i] :
( ( $false
= ( sK0 @ X0 ) )
| ( sK4
= ( sK2 @ X0 ) ) )
| ~ spl6_2
| ~ spl6_8 ),
inference(trivial_inequality_removal,[],[f175]) ).
thf(f182,plain,
( ! [X0: $i] :
( ( $true = $false )
| ( $false
= ( sK0 @ X0 ) )
| ( ( sK3 @ X0 )
!= X0 ) )
| ~ spl6_3 ),
inference(constrained_superposition,[],[f17,f72]) ).
thf(f184,plain,
( ! [X0: $i] :
( ( $false
= ( sK0 @ X0 ) )
| ( ( sK3 @ X0 )
!= X0 ) )
| ~ spl6_3 ),
inference(trivial_inequality_removal,[],[f182]) ).
thf(f199,plain,
( ! [X0: $i] :
( ( $true = $false )
| ( $true
= ( sK0 @ ( sK3 @ X0 ) ) )
| ( $false
= ( sK1 @ X0 ) ) )
| ~ spl6_1 ),
inference(constrained_superposition,[],[f18,f65]) ).
thf(f202,plain,
( ! [X0: $i] :
( ( $true
= ( sK0 @ ( sK3 @ X0 ) ) )
| ( $false
= ( sK1 @ X0 ) ) )
| ~ spl6_1 ),
inference(trivial_inequality_removal,[],[f199]) ).
thf(f216,plain,
( ( $true = $false )
| ( sK4
= ( sK2 @ sK4 ) )
| ~ spl6_2
| ~ spl6_6
| ~ spl6_8 ),
inference(constrained_superposition,[],[f86,f176]) ).
thf(f217,plain,
( ( sK4
= ( sK2 @ sK4 ) )
| ~ spl6_2
| ~ spl6_6
| ~ spl6_8 ),
inference(trivial_inequality_removal,[],[f216]) ).
thf(f227,plain,
( ( $true = $false )
| ( sK4
!= ( sK3 @ sK4 ) )
| ~ spl6_3
| ~ spl6_6 ),
inference(constrained_superposition,[],[f86,f184]) ).
thf(f228,plain,
( ( sK4
!= ( sK3 @ sK4 ) )
| ~ spl6_3
| ~ spl6_6 ),
inference(trivial_inequality_removal,[],[f227]) ).
thf(f256,plain,
( ! [X0: $i] :
( ( $true = $false )
| ( $false
= ( sK1 @ X0 ) )
| ( sK5
= ( sK3 @ X0 ) ) )
| ~ spl6_1
| ~ spl6_7 ),
inference(constrained_superposition,[],[f202,f108]) ).
thf(f259,plain,
( ! [X0: $i] :
( ( $true = $false )
| ( sK4
= ( sK3 @ X0 ) )
| ( $false
= ( sK1 @ X0 ) ) )
| ~ spl6_1
| ~ spl6_8 ),
inference(constrained_superposition,[],[f94,f202]) ).
thf(f264,plain,
( ! [X0: $i] :
( ( $false
= ( sK1 @ X0 ) )
| ( sK4
= ( sK3 @ X0 ) ) )
| ~ spl6_1
| ~ spl6_8 ),
inference(trivial_inequality_removal,[],[f259]) ).
thf(f267,plain,
( ! [X0: $i] :
( ( $false
= ( sK1 @ X0 ) )
| ( sK5
= ( sK3 @ X0 ) ) )
| ~ spl6_1
| ~ spl6_7 ),
inference(trivial_inequality_removal,[],[f256]) ).
thf(f295,plain,
( ! [X0: $i] :
( ( $true = $false )
| ( $false
= ( sK0 @ X0 ) )
| ( sK4
= ( sK3 @ X0 ) ) )
| ~ spl6_1
| ~ spl6_8 ),
inference(constrained_superposition,[],[f17,f264]) ).
thf(f299,plain,
( ! [X0: $i] :
( ( $false
= ( sK0 @ X0 ) )
| ( sK4
= ( sK3 @ X0 ) ) )
| ~ spl6_1
| ~ spl6_8 ),
inference(trivial_inequality_removal,[],[f295]) ).
thf(f308,plain,
( ( $true = $false )
| ( sK4
= ( sK3 @ sK4 ) )
| ~ spl6_1
| ~ spl6_6
| ~ spl6_8 ),
inference(constrained_superposition,[],[f299,f86]) ).
thf(f317,plain,
( ( sK4
= ( sK3 @ sK4 ) )
| ~ spl6_1
| ~ spl6_6
| ~ spl6_8 ),
inference(trivial_inequality_removal,[],[f308]) ).
thf(f322,plain,
( $false
| ~ spl6_1
| ~ spl6_3
| ~ spl6_6
| ~ spl6_8 ),
inference(forward_subsumption_resolution,[],[f317,f228]) ).
thf(f323,plain,
( ~ spl6_1
| ~ spl6_3
| ~ spl6_6
| ~ spl6_8 ),
inference(avatar_contradiction_clause,[],[f322]) ).
thf(f330,plain,
( $false
| ~ spl6_2
| ~ spl6_4
| ~ spl6_6
| ~ spl6_8 ),
inference(forward_subsumption_resolution,[],[f161,f217]) ).
thf(f331,plain,
( ~ spl6_2
| ~ spl6_4
| ~ spl6_6
| ~ spl6_8 ),
inference(avatar_contradiction_clause,[],[f330]) ).
thf(f340,plain,
( ( $true = $false )
| ( sK4
= ( sK3 @ sK5 ) )
| ~ spl6_1
| ~ spl6_5
| ~ spl6_8 ),
inference(constrained_superposition,[],[f264,f82]) ).
thf(f343,plain,
( ( sK4
= ( sK3 @ sK5 ) )
| ~ spl6_1
| ~ spl6_5
| ~ spl6_8 ),
inference(trivial_inequality_removal,[],[f340]) ).
thf(f362,plain,
( ( $true = $false )
| ( sK4 = sK5 )
| ~ spl6_5
| ~ spl6_8 ),
inference(constrained_superposition,[],[f94,f116]) ).
thf(f363,plain,
( ( sK4 = sK5 )
| ~ spl6_5
| ~ spl6_8 ),
inference(trivial_inequality_removal,[],[f362]) ).
thf(f369,plain,
( ( $true = $false )
| ( sK5
!= ( sK3 @ sK5 ) )
| ~ spl6_3
| ~ spl6_5 ),
inference(constrained_superposition,[],[f72,f82]) ).
thf(f373,plain,
( ( $true = $false )
| ( sK5
!= ( sK3 @ sK5 ) )
| ~ spl6_3
| ~ spl6_5 ),
inference(constrained_superposition,[],[f82,f72]) ).
thf(f374,plain,
( ( sK5
!= ( sK3 @ sK5 ) )
| ~ spl6_3
| ~ spl6_5 ),
inference(trivial_inequality_removal,[],[f373]) ).
thf(f378,plain,
( ( sK5
!= ( sK3 @ sK5 ) )
| ~ spl6_3
| ~ spl6_5 ),
inference(trivial_inequality_removal,[],[f369]) ).
thf(f382,plain,
( ( sK4 != sK5 )
| ~ spl6_1
| ~ spl6_3
| ~ spl6_5
| ~ spl6_8 ),
inference(forward_demodulation,[],[f378,f343]) ).
thf(f385,plain,
( $false
| ~ spl6_1
| ~ spl6_3
| ~ spl6_5
| ~ spl6_8 ),
inference(forward_subsumption_resolution,[],[f382,f363]) ).
thf(f386,plain,
( ~ spl6_1
| ~ spl6_3
| ~ spl6_5
| ~ spl6_8 ),
inference(avatar_contradiction_clause,[],[f385]) ).
thf(f410,plain,
( ( $true = $false )
| ( sK5
= ( sK3 @ sK5 ) )
| ~ spl6_1
| ~ spl6_5
| ~ spl6_7 ),
inference(constrained_superposition,[],[f267,f82]) ).
thf(f419,plain,
( ( sK5
= ( sK3 @ sK5 ) )
| ~ spl6_1
| ~ spl6_5
| ~ spl6_7 ),
inference(trivial_inequality_removal,[],[f410]) ).
thf(f424,plain,
( $false
| ~ spl6_1
| ~ spl6_3
| ~ spl6_5
| ~ spl6_7 ),
inference(forward_subsumption_resolution,[],[f419,f374]) ).
thf(f425,plain,
( ~ spl6_1
| ~ spl6_3
| ~ spl6_5
| ~ spl6_7 ),
inference(avatar_contradiction_clause,[],[f424]) ).
cnf(s1,plain,
( spl6_1
| spl6_2 ),
inference(sat_conversion,[],[f69]) ).
cnf(s2,plain,
( spl6_2
| spl6_3 ),
inference(sat_conversion,[],[f73]) ).
cnf(s3,plain,
( spl6_1
| spl6_4 ),
inference(sat_conversion,[],[f77]) ).
cnf(s4,plain,
( spl6_3
| spl6_4 ),
inference(sat_conversion,[],[f78]) ).
cnf(s5,plain,
( spl6_5
| spl6_6 ),
inference(sat_conversion,[],[f87]) ).
cnf(s6,plain,
( spl6_6
| spl6_7 ),
inference(sat_conversion,[],[f91]) ).
cnf(s7,plain,
( spl6_5
| spl6_8 ),
inference(sat_conversion,[],[f95]) ).
cnf(s8,plain,
( spl6_7
| spl6_8 ),
inference(sat_conversion,[],[f96]) ).
cnf(s10,plain,
( ~ spl6_2
| ~ spl6_4
| ~ spl6_5
| ~ spl6_7 ),
inference(sat_conversion,[],[f149]) ).
cnf(s16,plain,
( ~ spl6_1
| ~ spl6_3
| ~ spl6_6
| ~ spl6_8 ),
inference(sat_conversion,[],[f323]) ).
cnf(s19,plain,
( ~ spl6_2
| ~ spl6_4
| ~ spl6_6
| ~ spl6_8 ),
inference(sat_conversion,[],[f331]) ).
cnf(s21,plain,
( ~ spl6_1
| ~ spl6_3
| ~ spl6_5
| ~ spl6_8 ),
inference(sat_conversion,[],[f386]) ).
cnf(s23,plain,
( ~ spl6_1
| ~ spl6_3
| ~ spl6_5
| ~ spl6_7 ),
inference(sat_conversion,[],[f425]) ).
cnf(s24,plain,
( spl6_5
| spl6_1 ),
inference(rat,[],[s19,s5,s7,s3,s1]) ).
cnf(s25,plain,
( ~ spl6_5
| ~ spl6_2
| ~ spl6_4 ),
inference(rat,[],[s19,s6,s8,s10]) ).
cnf(s26,plain,
spl6_1,
inference(rat,[],[s25,s24,s1,s3]) ).
cnf(s27,plain,
( ~ spl6_4
| ~ spl6_2 ),
inference(rat,[],[s19,s5,s7,s25]) ).
cnf(s28,plain,
( spl6_5
| ~ spl6_3 ),
inference(rat,[],[s16,s5,s7,s26]) ).
cnf(s29,plain,
( ~ spl6_5
| ~ spl6_3 ),
inference(rat,[],[s8,s21,s23,s26]) ).
cnf(s30,plain,
~ spl6_3,
inference(rat,[],[s29,s28]) ).
cnf(s31,plain,
spl6_4,
inference(rat,[],[s4,s30]) ).
cnf(s32,plain,
spl6_2,
inference(rat,[],[s2,s30]) ).
cnf(s33,plain,
$false,
inference(rat,[],[s27,s32,s31]) ).
thf(f426,plain,
$false,
inference(avatar_sat_refutation,[],[s33]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : SEU550^2 : TPTP v9.3.1. Bugfixed v5.2.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.07/0.16 % Computer : n007.cluster.edu
% 0.07/0.16 % Model : x86_64 x86_64
% 0.07/0.16 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.07/0.16 % Memory : 8046.5625MB
% 0.07/0.16 % OS : Linux 6.8.0-71-generic
% 0.07/0.16 % CPULimit : 300
% 0.07/0.16 % WCLimit : 300
% 0.07/0.16 % DateTime : Tue Sep 29 13:47:41 UTC 2026
% 0.07/0.16 % CPUTime :
% 0.07/0.16 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.07/0.19 Running first-order model finding
% 0.07/0.19 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
% 0.07/0.25 % (3390803)Will run a generic schedule for satisfiability detection.
% 0.07/0.25 % (3390808)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=3622169627_2999 on theBenchmark for (2999ds/0Mi)
% 0.07/0.25 % Exception at run slice level
% 0.07/0.25 User error: Finite model building is currently not compatible with polymorphism or higher-order constructs
% 0.07/0.25 % (3390809)% WARNING: option uhcvi not known.
% 0.07/0.25 % (3390811)dis+10_1_sil=32000:sp=arity:random_seed=953659100:i=103:fgj=on_2999 on theBenchmark for (2999ds/103Mi)
% 0.07/0.25 % (3390810)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=3821791026:i=88024:add=on:rawr=on_2999 on theBenchmark for (2999ds/88024Mi)
% 0.07/0.25 % (3390812)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=881118485:i=116_2999 on theBenchmark for (2999ds/116Mi)
% 0.07/0.25 % (3390814)ott-3_16_to=lpo:sil=16000:sp=arity:fd=off:rp=on:random_seed=2706214578:i=159:bs=unit_only:nicw=on:fsr=off:amm=off_2999 on theBenchmark for (2999ds/159Mi)
% 0.07/0.25 % (3390813)ott+1_1_to=lpo:sil=16000:sp=reverse_arity:erd=off:random_seed=1280468290:i=131_2999 on theBenchmark for (2999ds/131Mi)
% 0.07/0.25 % (3390812)WARNING: Not using 'newcnf' as currently not compatible with higher-order inputs.
% 0.07/0.25 % (3390809)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=2956803901:i=135531:add=off:rawr=on_2999 on theBenchmark for (2999ds/135531Mi)
% 0.07/0.25 % (3390809)WARNING: Not using 'newcnf' as currently not compatible with higher-order inputs.
% 0.07/0.25 % (3390816)fmb+10_1_fmbas=predicate:sil=64000:sas=cadical:random_seed=3151919755:i=714:nm=2_2999 on theBenchmark for (2999ds/714Mi)
% 0.07/0.25 % (3390809)WARNING: Look ahead literal selection is not currently compatible with higher-order. Ignoring request to use
% 0.07/0.25 % Exception at run slice level
% 0.07/0.25 User error: Finite model building is currently not compatible with polymorphism or higher-order constructs
% 0.07/0.25 % (3390812) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-3390803-3390812"...
% 0.07/0.25 % (3390811) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-3390803-3390811"...
% 0.07/0.25 % (3390824)ott+32_1_sil=16000:bsd=on:sp=const_max:bce=on:random_seed=2689815539:i=131:bd=preordered:fsd=on_2999 on theBenchmark for (2999ds/131Mi)
% 0.07/0.25 % (3390812)...printing done.
% 0.07/0.25 % (3390811)...printing done.
% 0.07/0.25 % (3390812)Refutation found. Thanks to Tanya!
% 0.07/0.25 % SZS status Theorem for theBenchmark
% 0.07/0.25 % SZS output start Proof for theBenchmark
% See solution above
% 0.07/0.25 % (3390812)------------------------------
% 0.07/0.25 % (3390812)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.07/0.25 % (3390812)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.07/0.25 % (3390812)CaDiCaL version: 2.1.3
% 0.07/0.25 % (3390812)Termination reason: Refutation
% 0.07/0.25 % (3390812)Time elapsed: 0.014 s
% 0.07/0.25 % (3390812)Peak memory usage: 12 MB
% 0.07/0.25 % (3390812)Instructions burned: 22 (million)
% 0.07/0.25 % (3390803)Success in time 0.045 s
% 0.07/0.25 % Vampire exiting
%------------------------------------------------------------------------------