%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : PUZ047^5 : TPTP v9.3.1. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% Computer : n026.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 08:21:00 AM UTC 2026
% Result : Theorem 0.20s 0.29s
% Output : Refutation 0.20s
% Verified :
% SZS Type : Refutation
% Derivation depth : 23
% Number of leaves : 1
% Syntax : Number of formulae : 31 ( 11 unt; 0 typ; 0 def)
% Number of atoms : 559 ( 156 equ; 0 cnn)
% Maximal formula atoms : 30 ( 18 avg)
% Number of connectives : 1587 ( 77 ~; 55 |; 101 &;1294 @)
% ( 0 <=>; 60 =>; 0 <=; 0 <~>)
% Maximal formula depth : 24 ( 7 avg)
% Number of types : 3 ( 2 usr)
% Number of type conns : 0 ( 0 >; 0 *; 0 +; 0 <<)
% Number of symbols : 12 ( 9 usr; 5 con; 0-5 aty)
% Number of variables : 158 ( 0 ^; 154 !; 4 ?; 158 :)
% Comments :
%------------------------------------------------------------------------------
thf(type_def_5,type,
a: $tType ).
thf(type_def_6,type,
b: $tType ).
thf(type_def_7,type,
sTfun: ( $tType * $tType ) > $tType ).
thf(func_def_0,type,
cN: a ).
thf(func_def_1,type,
cP: a > a > a > a > b > $o ).
thf(func_def_2,type,
cD: b > b ).
thf(func_def_3,type,
cS: a ).
thf(func_def_4,type,
cG: b > b ).
thf(func_def_5,type,
cW: b > b ).
thf(func_def_6,type,
cL: b > b ).
thf(func_def_7,type,
cO: b ).
thf(f1,conjecture,
( ( ! [X17: b] :
( ( cP @ cN @ cS @ cN @ cN @ X17 )
=> ( cP @ cS @ cS @ cN @ cS @ ( cD @ X17 ) ) )
& ! [X16: b] :
( ( cP @ cS @ cS @ cN @ cS @ X16 )
=> ( cP @ cN @ cS @ cN @ cN @ ( cD @ X16 ) ) )
& ! [X15: b] :
( ( cP @ cN @ cN @ cS @ cN @ X15 )
=> ( cP @ cS @ cN @ cS @ cS @ ( cD @ X15 ) ) )
& ! [X14: b] :
( ( cP @ cS @ cN @ cS @ cS @ X14 )
=> ( cP @ cN @ cN @ cS @ cN @ ( cD @ X14 ) ) )
& ! [X11: a,X12: a,X13: b] :
( ( cP @ cN @ X11 @ cN @ X12 @ X13 )
=> ( cP @ cS @ X11 @ cS @ X12 @ ( cG @ X13 ) ) )
& ! [X8: a,X9: a,X10: b] :
( ( cP @ cS @ X8 @ cS @ X9 @ X10 )
=> ( cP @ cN @ X8 @ cN @ X9 @ ( cG @ X10 ) ) )
& ! [X7: b] :
( ( cP @ cN @ cN @ cN @ cS @ X7 )
=> ( cP @ cS @ cS @ cN @ cS @ ( cW @ X7 ) ) )
& ! [X6: b] :
( ( cP @ cS @ cS @ cN @ cS @ X6 )
=> ( cP @ cN @ cN @ cN @ cS @ ( cW @ X6 ) ) )
& ! [X5: b] :
( ( cP @ cN @ cN @ cS @ cN @ X5 )
=> ( cP @ cS @ cS @ cS @ cN @ ( cW @ X5 ) ) )
& ! [X4: b] :
( ( cP @ cS @ cS @ cS @ cN @ X4 )
=> ( cP @ cN @ cN @ cS @ cN @ ( cW @ X4 ) ) )
& ! [X3: b] :
( ( cP @ cN @ cS @ cN @ cS @ X3 )
=> ( cP @ cS @ cS @ cN @ cS @ ( cL @ X3 ) ) )
& ! [X2: b] :
( ( cP @ cS @ cS @ cN @ cS @ X2 )
=> ( cP @ cN @ cS @ cN @ cS @ ( cL @ X2 ) ) )
& ! [X1: b] :
( ( cP @ cN @ cN @ cS @ cN @ X1 )
=> ( cP @ cS @ cN @ cS @ cN @ ( cL @ X1 ) ) )
& ! [X0: b] :
( ( cP @ cS @ cN @ cS @ cN @ X0 )
=> ( cP @ cN @ cN @ cS @ cN @ ( cL @ X0 ) ) )
& ( cP @ cS @ cS @ cS @ cS @ cO ) )
=> ? [X18: b] : ( cP @ cN @ cN @ cN @ cN @ X18 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cTHM100A) ).
thf(f2,negated_conjecture,
~ ( ( ! [X17: b] :
( ( cP @ cN @ cS @ cN @ cN @ X17 )
=> ( cP @ cS @ cS @ cN @ cS @ ( cD @ X17 ) ) )
& ! [X16: b] :
( ( cP @ cS @ cS @ cN @ cS @ X16 )
=> ( cP @ cN @ cS @ cN @ cN @ ( cD @ X16 ) ) )
& ! [X15: b] :
( ( cP @ cN @ cN @ cS @ cN @ X15 )
=> ( cP @ cS @ cN @ cS @ cS @ ( cD @ X15 ) ) )
& ! [X14: b] :
( ( cP @ cS @ cN @ cS @ cS @ X14 )
=> ( cP @ cN @ cN @ cS @ cN @ ( cD @ X14 ) ) )
& ! [X11: a,X12: a,X13: b] :
( ( cP @ cN @ X11 @ cN @ X12 @ X13 )
=> ( cP @ cS @ X11 @ cS @ X12 @ ( cG @ X13 ) ) )
& ! [X8: a,X9: a,X10: b] :
( ( cP @ cS @ X8 @ cS @ X9 @ X10 )
=> ( cP @ cN @ X8 @ cN @ X9 @ ( cG @ X10 ) ) )
& ! [X7: b] :
( ( cP @ cN @ cN @ cN @ cS @ X7 )
=> ( cP @ cS @ cS @ cN @ cS @ ( cW @ X7 ) ) )
& ! [X6: b] :
( ( cP @ cS @ cS @ cN @ cS @ X6 )
=> ( cP @ cN @ cN @ cN @ cS @ ( cW @ X6 ) ) )
& ! [X5: b] :
( ( cP @ cN @ cN @ cS @ cN @ X5 )
=> ( cP @ cS @ cS @ cS @ cN @ ( cW @ X5 ) ) )
& ! [X4: b] :
( ( cP @ cS @ cS @ cS @ cN @ X4 )
=> ( cP @ cN @ cN @ cS @ cN @ ( cW @ X4 ) ) )
& ! [X3: b] :
( ( cP @ cN @ cS @ cN @ cS @ X3 )
=> ( cP @ cS @ cS @ cN @ cS @ ( cL @ X3 ) ) )
& ! [X2: b] :
( ( cP @ cS @ cS @ cN @ cS @ X2 )
=> ( cP @ cN @ cS @ cN @ cS @ ( cL @ X2 ) ) )
& ! [X1: b] :
( ( cP @ cN @ cN @ cS @ cN @ X1 )
=> ( cP @ cS @ cN @ cS @ cN @ ( cL @ X1 ) ) )
& ! [X0: b] :
( ( cP @ cS @ cN @ cS @ cN @ X0 )
=> ( cP @ cN @ cN @ cS @ cN @ ( cL @ X0 ) ) )
& ( cP @ cS @ cS @ cS @ cS @ cO ) )
=> ? [X18: b] : ( cP @ cN @ cN @ cN @ cN @ X18 ) ),
inference(negated_conjecture,[status(cth)],[f1]) ).
thf(f3,plain,
~ ( ( ! [X0: b] :
( ( cP @ cN @ cS @ cN @ cN @ X0 )
=> ( cP @ cS @ cS @ cN @ cS @ ( cD @ X0 ) ) )
& ! [X1: b] :
( ( cP @ cS @ cS @ cN @ cS @ X1 )
=> ( cP @ cN @ cS @ cN @ cN @ ( cD @ X1 ) ) )
& ! [X2: b] :
( ( cP @ cN @ cN @ cS @ cN @ X2 )
=> ( cP @ cS @ cN @ cS @ cS @ ( cD @ X2 ) ) )
& ! [X3: b] :
( ( cP @ cS @ cN @ cS @ cS @ X3 )
=> ( cP @ cN @ cN @ cS @ cN @ ( cD @ X3 ) ) )
& ! [X4: a,X5: a,X6: b] :
( ( cP @ cN @ X4 @ cN @ X5 @ X6 )
=> ( cP @ cS @ X4 @ cS @ X5 @ ( cG @ X6 ) ) )
& ! [X7: a,X8: a,X9: b] :
( ( cP @ cS @ X7 @ cS @ X8 @ X9 )
=> ( cP @ cN @ X7 @ cN @ X8 @ ( cG @ X9 ) ) )
& ! [X10: b] :
( ( cP @ cN @ cN @ cN @ cS @ X10 )
=> ( cP @ cS @ cS @ cN @ cS @ ( cW @ X10 ) ) )
& ! [X11: b] :
( ( cP @ cS @ cS @ cN @ cS @ X11 )
=> ( cP @ cN @ cN @ cN @ cS @ ( cW @ X11 ) ) )
& ! [X12: b] :
( ( cP @ cN @ cN @ cS @ cN @ X12 )
=> ( cP @ cS @ cS @ cS @ cN @ ( cW @ X12 ) ) )
& ! [X13: b] :
( ( cP @ cS @ cS @ cS @ cN @ X13 )
=> ( cP @ cN @ cN @ cS @ cN @ ( cW @ X13 ) ) )
& ! [X14: b] :
( ( cP @ cN @ cS @ cN @ cS @ X14 )
=> ( cP @ cS @ cS @ cN @ cS @ ( cL @ X14 ) ) )
& ! [X15: b] :
( ( cP @ cS @ cS @ cN @ cS @ X15 )
=> ( cP @ cN @ cS @ cN @ cS @ ( cL @ X15 ) ) )
& ! [X16: b] :
( ( cP @ cN @ cN @ cS @ cN @ X16 )
=> ( cP @ cS @ cN @ cS @ cN @ ( cL @ X16 ) ) )
& ! [X17: b] :
( ( cP @ cS @ cN @ cS @ cN @ X17 )
=> ( cP @ cN @ cN @ cS @ cN @ ( cL @ X17 ) ) )
& ( cP @ cS @ cS @ cS @ cS @ cO ) )
=> ? [X18: b] : ( cP @ cN @ cN @ cN @ cN @ X18 ) ),
inference(rectify,[],[f2]) ).
thf(f4,plain,
~ ( ( ! [X0: b] :
( ( ( cP @ cN @ cS @ cN @ cN @ X0 )
= $true )
=> ( ( cP @ cS @ cS @ cN @ cS @ ( cD @ X0 ) )
= $true ) )
& ! [X1: b] :
( ( ( cP @ cS @ cS @ cN @ cS @ X1 )
= $true )
=> ( ( cP @ cN @ cS @ cN @ cN @ ( cD @ X1 ) )
= $true ) )
& ! [X2: b] :
( ( ( cP @ cN @ cN @ cS @ cN @ X2 )
= $true )
=> ( ( cP @ cS @ cN @ cS @ cS @ ( cD @ X2 ) )
= $true ) )
& ! [X3: b] :
( ( ( cP @ cS @ cN @ cS @ cS @ X3 )
= $true )
=> ( ( cP @ cN @ cN @ cS @ cN @ ( cD @ X3 ) )
= $true ) )
& ! [X4: a,X5: a,X6: b] :
( ( ( cP @ cN @ X4 @ cN @ X5 @ X6 )
= $true )
=> ( ( cP @ cS @ X4 @ cS @ X5 @ ( cG @ X6 ) )
= $true ) )
& ! [X7: a,X8: a,X9: b] :
( ( ( cP @ cS @ X7 @ cS @ X8 @ X9 )
= $true )
=> ( ( cP @ cN @ X7 @ cN @ X8 @ ( cG @ X9 ) )
= $true ) )
& ! [X10: b] :
( ( ( cP @ cN @ cN @ cN @ cS @ X10 )
= $true )
=> ( ( cP @ cS @ cS @ cN @ cS @ ( cW @ X10 ) )
= $true ) )
& ! [X11: b] :
( ( ( cP @ cS @ cS @ cN @ cS @ X11 )
= $true )
=> ( ( cP @ cN @ cN @ cN @ cS @ ( cW @ X11 ) )
= $true ) )
& ! [X12: b] :
( ( ( cP @ cN @ cN @ cS @ cN @ X12 )
= $true )
=> ( ( cP @ cS @ cS @ cS @ cN @ ( cW @ X12 ) )
= $true ) )
& ! [X13: b] :
( ( ( cP @ cS @ cS @ cS @ cN @ X13 )
= $true )
=> ( ( cP @ cN @ cN @ cS @ cN @ ( cW @ X13 ) )
= $true ) )
& ! [X14: b] :
( ( ( cP @ cN @ cS @ cN @ cS @ X14 )
= $true )
=> ( ( cP @ cS @ cS @ cN @ cS @ ( cL @ X14 ) )
= $true ) )
& ! [X15: b] :
( ( ( cP @ cS @ cS @ cN @ cS @ X15 )
= $true )
=> ( ( cP @ cN @ cS @ cN @ cS @ ( cL @ X15 ) )
= $true ) )
& ! [X16: b] :
( ( ( cP @ cN @ cN @ cS @ cN @ X16 )
= $true )
=> ( ( cP @ cS @ cN @ cS @ cN @ ( cL @ X16 ) )
= $true ) )
& ! [X17: b] :
( ( ( cP @ cS @ cN @ cS @ cN @ X17 )
= $true )
=> ( ( cP @ cN @ cN @ cS @ cN @ ( cL @ X17 ) )
= $true ) )
& ( ( cP @ cS @ cS @ cS @ cS @ cO )
= $true ) )
=> ? [X18: b] :
( ( cP @ cN @ cN @ cN @ cN @ X18 )
= $true ) ),
inference(fool_elimination,[],[f3]) ).
thf(f5,plain,
( ! [X18: b] :
( ( cP @ cN @ cN @ cN @ cN @ X18 )
!= $true )
& ! [X0: b] :
( ( ( cP @ cS @ cS @ cN @ cS @ ( cD @ X0 ) )
= $true )
| ( ( cP @ cN @ cS @ cN @ cN @ X0 )
!= $true ) )
& ! [X1: b] :
( ( ( cP @ cN @ cS @ cN @ cN @ ( cD @ X1 ) )
= $true )
| ( ( cP @ cS @ cS @ cN @ cS @ X1 )
!= $true ) )
& ! [X2: b] :
( ( ( cP @ cS @ cN @ cS @ cS @ ( cD @ X2 ) )
= $true )
| ( ( cP @ cN @ cN @ cS @ cN @ X2 )
!= $true ) )
& ! [X3: b] :
( ( ( cP @ cN @ cN @ cS @ cN @ ( cD @ X3 ) )
= $true )
| ( ( cP @ cS @ cN @ cS @ cS @ X3 )
!= $true ) )
& ! [X4: a,X5: a,X6: b] :
( ( ( cP @ cS @ X4 @ cS @ X5 @ ( cG @ X6 ) )
= $true )
| ( ( cP @ cN @ X4 @ cN @ X5 @ X6 )
!= $true ) )
& ! [X7: a,X8: a,X9: b] :
( ( ( cP @ cN @ X7 @ cN @ X8 @ ( cG @ X9 ) )
= $true )
| ( ( cP @ cS @ X7 @ cS @ X8 @ X9 )
!= $true ) )
& ! [X10: b] :
( ( ( cP @ cS @ cS @ cN @ cS @ ( cW @ X10 ) )
= $true )
| ( ( cP @ cN @ cN @ cN @ cS @ X10 )
!= $true ) )
& ! [X11: b] :
( ( ( cP @ cN @ cN @ cN @ cS @ ( cW @ X11 ) )
= $true )
| ( ( cP @ cS @ cS @ cN @ cS @ X11 )
!= $true ) )
& ! [X12: b] :
( ( ( cP @ cS @ cS @ cS @ cN @ ( cW @ X12 ) )
= $true )
| ( ( cP @ cN @ cN @ cS @ cN @ X12 )
!= $true ) )
& ! [X13: b] :
( ( ( cP @ cN @ cN @ cS @ cN @ ( cW @ X13 ) )
= $true )
| ( ( cP @ cS @ cS @ cS @ cN @ X13 )
!= $true ) )
& ! [X14: b] :
( ( ( cP @ cS @ cS @ cN @ cS @ ( cL @ X14 ) )
= $true )
| ( ( cP @ cN @ cS @ cN @ cS @ X14 )
!= $true ) )
& ! [X15: b] :
( ( ( cP @ cN @ cS @ cN @ cS @ ( cL @ X15 ) )
= $true )
| ( ( cP @ cS @ cS @ cN @ cS @ X15 )
!= $true ) )
& ! [X16: b] :
( ( ( cP @ cS @ cN @ cS @ cN @ ( cL @ X16 ) )
= $true )
| ( ( cP @ cN @ cN @ cS @ cN @ X16 )
!= $true ) )
& ! [X17: b] :
( ( ( cP @ cN @ cN @ cS @ cN @ ( cL @ X17 ) )
= $true )
| ( ( cP @ cS @ cN @ cS @ cN @ X17 )
!= $true ) )
& ( ( cP @ cS @ cS @ cS @ cS @ cO )
= $true ) ),
inference(ennf_transformation,[],[f4]) ).
thf(f6,plain,
( ! [X18: b] :
( ( cP @ cN @ cN @ cN @ cN @ X18 )
!= $true )
& ! [X0: b] :
( ( ( cP @ cS @ cS @ cN @ cS @ ( cD @ X0 ) )
= $true )
| ( ( cP @ cN @ cS @ cN @ cN @ X0 )
!= $true ) )
& ! [X1: b] :
( ( ( cP @ cN @ cS @ cN @ cN @ ( cD @ X1 ) )
= $true )
| ( ( cP @ cS @ cS @ cN @ cS @ X1 )
!= $true ) )
& ! [X2: b] :
( ( ( cP @ cS @ cN @ cS @ cS @ ( cD @ X2 ) )
= $true )
| ( ( cP @ cN @ cN @ cS @ cN @ X2 )
!= $true ) )
& ! [X3: b] :
( ( ( cP @ cN @ cN @ cS @ cN @ ( cD @ X3 ) )
= $true )
| ( ( cP @ cS @ cN @ cS @ cS @ X3 )
!= $true ) )
& ! [X4: a,X5: a,X6: b] :
( ( ( cP @ cS @ X4 @ cS @ X5 @ ( cG @ X6 ) )
= $true )
| ( ( cP @ cN @ X4 @ cN @ X5 @ X6 )
!= $true ) )
& ! [X7: a,X8: a,X9: b] :
( ( ( cP @ cN @ X7 @ cN @ X8 @ ( cG @ X9 ) )
= $true )
| ( ( cP @ cS @ X7 @ cS @ X8 @ X9 )
!= $true ) )
& ! [X10: b] :
( ( ( cP @ cS @ cS @ cN @ cS @ ( cW @ X10 ) )
= $true )
| ( ( cP @ cN @ cN @ cN @ cS @ X10 )
!= $true ) )
& ! [X11: b] :
( ( ( cP @ cN @ cN @ cN @ cS @ ( cW @ X11 ) )
= $true )
| ( ( cP @ cS @ cS @ cN @ cS @ X11 )
!= $true ) )
& ! [X12: b] :
( ( ( cP @ cS @ cS @ cS @ cN @ ( cW @ X12 ) )
= $true )
| ( ( cP @ cN @ cN @ cS @ cN @ X12 )
!= $true ) )
& ! [X13: b] :
( ( ( cP @ cN @ cN @ cS @ cN @ ( cW @ X13 ) )
= $true )
| ( ( cP @ cS @ cS @ cS @ cN @ X13 )
!= $true ) )
& ! [X14: b] :
( ( ( cP @ cS @ cS @ cN @ cS @ ( cL @ X14 ) )
= $true )
| ( ( cP @ cN @ cS @ cN @ cS @ X14 )
!= $true ) )
& ! [X15: b] :
( ( ( cP @ cN @ cS @ cN @ cS @ ( cL @ X15 ) )
= $true )
| ( ( cP @ cS @ cS @ cN @ cS @ X15 )
!= $true ) )
& ! [X16: b] :
( ( ( cP @ cS @ cN @ cS @ cN @ ( cL @ X16 ) )
= $true )
| ( ( cP @ cN @ cN @ cS @ cN @ X16 )
!= $true ) )
& ! [X17: b] :
( ( ( cP @ cN @ cN @ cS @ cN @ ( cL @ X17 ) )
= $true )
| ( ( cP @ cS @ cN @ cS @ cN @ X17 )
!= $true ) )
& ( ( cP @ cS @ cS @ cS @ cS @ cO )
= $true ) ),
inference(flattening,[],[f5]) ).
thf(f7,plain,
( ! [X0: b] :
( $true
!= ( cP @ cN @ cN @ cN @ cN @ X0 ) )
& ! [X1: b] :
( ( $true
= ( cP @ cS @ cS @ cN @ cS @ ( cD @ X1 ) ) )
| ( $true
!= ( cP @ cN @ cS @ cN @ cN @ X1 ) ) )
& ! [X2: b] :
( ( $true
= ( cP @ cN @ cS @ cN @ cN @ ( cD @ X2 ) ) )
| ( ( cP @ cS @ cS @ cN @ cS @ X2 )
!= $true ) )
& ! [X3: b] :
( ( $true
= ( cP @ cS @ cN @ cS @ cS @ ( cD @ X3 ) ) )
| ( $true
!= ( cP @ cN @ cN @ cS @ cN @ X3 ) ) )
& ! [X4: b] :
( ( $true
= ( cP @ cN @ cN @ cS @ cN @ ( cD @ X4 ) ) )
| ( $true
!= ( cP @ cS @ cN @ cS @ cS @ X4 ) ) )
& ! [X5: a,X6: a,X7: b] :
( ( $true
= ( cP @ cS @ X5 @ cS @ X6 @ ( cG @ X7 ) ) )
| ( $true
!= ( cP @ cN @ X5 @ cN @ X6 @ X7 ) ) )
& ! [X8: a,X9: a,X10: b] :
( ( ( cP @ cN @ X8 @ cN @ X9 @ ( cG @ X10 ) )
= $true )
| ( ( cP @ cS @ X8 @ cS @ X9 @ X10 )
!= $true ) )
& ! [X11: b] :
( ( $true
= ( cP @ cS @ cS @ cN @ cS @ ( cW @ X11 ) ) )
| ( $true
!= ( cP @ cN @ cN @ cN @ cS @ X11 ) ) )
& ! [X12: b] :
( ( $true
= ( cP @ cN @ cN @ cN @ cS @ ( cW @ X12 ) ) )
| ( $true
!= ( cP @ cS @ cS @ cN @ cS @ X12 ) ) )
& ! [X13: b] :
( ( $true
= ( cP @ cS @ cS @ cS @ cN @ ( cW @ X13 ) ) )
| ( $true
!= ( cP @ cN @ cN @ cS @ cN @ X13 ) ) )
& ! [X14: b] :
( ( $true
= ( cP @ cN @ cN @ cS @ cN @ ( cW @ X14 ) ) )
| ( $true
!= ( cP @ cS @ cS @ cS @ cN @ X14 ) ) )
& ! [X15: b] :
( ( $true
= ( cP @ cS @ cS @ cN @ cS @ ( cL @ X15 ) ) )
| ( $true
!= ( cP @ cN @ cS @ cN @ cS @ X15 ) ) )
& ! [X16: b] :
( ( $true
= ( cP @ cN @ cS @ cN @ cS @ ( cL @ X16 ) ) )
| ( ( cP @ cS @ cS @ cN @ cS @ X16 )
!= $true ) )
& ! [X17: b] :
( ( $true
= ( cP @ cS @ cN @ cS @ cN @ ( cL @ X17 ) ) )
| ( $true
!= ( cP @ cN @ cN @ cS @ cN @ X17 ) ) )
& ! [X18: b] :
( ( $true
= ( cP @ cN @ cN @ cS @ cN @ ( cL @ X18 ) ) )
| ( $true
!= ( cP @ cS @ cN @ cS @ cN @ X18 ) ) )
& ( ( cP @ cS @ cS @ cS @ cS @ cO )
= $true ) ),
inference(rectify,[],[f6]) ).
thf(f8,plain,
( ( cP @ cS @ cS @ cS @ cS @ cO )
= $true ),
inference(cnf_transformation,[],[f7]) ).
thf(f10,plain,
! [X17: b] :
( ( $true
= ( cP @ cS @ cN @ cS @ cN @ ( cL @ X17 ) ) )
| ( $true
!= ( cP @ cN @ cN @ cS @ cN @ X17 ) ) ),
inference(cnf_transformation,[],[f7]) ).
thf(f12,plain,
! [X15: b] :
( ( $true
= ( cP @ cS @ cS @ cN @ cS @ ( cL @ X15 ) ) )
| ( $true
!= ( cP @ cN @ cS @ cN @ cS @ X15 ) ) ),
inference(cnf_transformation,[],[f7]) ).
thf(f15,plain,
! [X12: b] :
( ( $true
= ( cP @ cN @ cN @ cN @ cS @ ( cW @ X12 ) ) )
| ( $true
!= ( cP @ cS @ cS @ cN @ cS @ X12 ) ) ),
inference(cnf_transformation,[],[f7]) ).
thf(f17,plain,
! [X10: b,X8: a,X9: a] :
( ( ( cP @ cN @ X8 @ cN @ X9 @ ( cG @ X10 ) )
= $true )
| ( ( cP @ cS @ X8 @ cS @ X9 @ X10 )
!= $true ) ),
inference(cnf_transformation,[],[f7]) ).
thf(f18,plain,
! [X6: a,X7: b,X5: a] :
( ( $true
= ( cP @ cS @ X5 @ cS @ X6 @ ( cG @ X7 ) ) )
| ( $true
!= ( cP @ cN @ X5 @ cN @ X6 @ X7 ) ) ),
inference(cnf_transformation,[],[f7]) ).
thf(f19,plain,
! [X4: b] :
( ( $true
= ( cP @ cN @ cN @ cS @ cN @ ( cD @ X4 ) ) )
| ( $true
!= ( cP @ cS @ cN @ cS @ cS @ X4 ) ) ),
inference(cnf_transformation,[],[f7]) ).
thf(f23,plain,
! [X0: b] :
( $true
!= ( cP @ cN @ cN @ cN @ cN @ X0 ) ),
inference(cnf_transformation,[],[f7]) ).
thf(f40,plain,
! [X0: b] :
( ( $true != $true )
| ( ( cP @ cS @ cN @ cS @ cN @ X0 )
!= $true ) ),
inference(constrained_superposition,[],[f23,f17]) ).
thf(f41,plain,
! [X0: b] :
( ( cP @ cS @ cN @ cS @ cN @ X0 )
!= $true ),
inference(trivial_inequality_removal,[],[f40]) ).
thf(f44,plain,
! [X0: b] :
( ( $true != $true )
| ( $true
!= ( cP @ cN @ cN @ cS @ cN @ X0 ) ) ),
inference(constrained_superposition,[],[f41,f10]) ).
thf(f47,plain,
! [X0: b] :
( $true
!= ( cP @ cN @ cN @ cS @ cN @ X0 ) ),
inference(trivial_inequality_removal,[],[f44]) ).
thf(f63,plain,
! [X0: b] :
( ( $true != $true )
| ( $true
!= ( cP @ cS @ cN @ cS @ cS @ X0 ) ) ),
inference(constrained_superposition,[],[f47,f19]) ).
thf(f66,plain,
! [X0: b] :
( $true
!= ( cP @ cS @ cN @ cS @ cS @ X0 ) ),
inference(trivial_inequality_removal,[],[f63]) ).
thf(f85,plain,
! [X0: b] :
( ( $true != $true )
| ( $true
!= ( cP @ cN @ cN @ cN @ cS @ X0 ) ) ),
inference(constrained_superposition,[],[f66,f18]) ).
thf(f88,plain,
! [X0: b] :
( $true
!= ( cP @ cN @ cN @ cN @ cS @ X0 ) ),
inference(trivial_inequality_removal,[],[f85]) ).
thf(f107,plain,
! [X0: b] :
( ( $true != $true )
| ( $true
!= ( cP @ cS @ cS @ cN @ cS @ X0 ) ) ),
inference(constrained_superposition,[],[f88,f15]) ).
thf(f112,plain,
! [X0: b] :
( $true
!= ( cP @ cS @ cS @ cN @ cS @ X0 ) ),
inference(trivial_inequality_removal,[],[f107]) ).
thf(f141,plain,
! [X0: b] :
( ( $true != $true )
| ( $true
!= ( cP @ cN @ cS @ cN @ cS @ X0 ) ) ),
inference(constrained_superposition,[],[f112,f12]) ).
thf(f148,plain,
! [X0: b] :
( $true
!= ( cP @ cN @ cS @ cN @ cS @ X0 ) ),
inference(trivial_inequality_removal,[],[f141]) ).
thf(f176,plain,
! [X0: b] :
( ( $true != $true )
| ( $true
!= ( cP @ cS @ cS @ cS @ cS @ X0 ) ) ),
inference(constrained_superposition,[],[f148,f17]) ).
thf(f179,plain,
! [X0: b] :
( $true
!= ( cP @ cS @ cS @ cS @ cS @ X0 ) ),
inference(trivial_inequality_removal,[],[f176]) ).
thf(f192,plain,
$true != $true,
inference(constrained_superposition,[],[f179,f8]) ).
thf(f197,plain,
$false,
inference(trivial_inequality_removal,[],[f192]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : PUZ047^5 : TPTP v9.3.1. Released v4.0.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.08/0.19 % Computer : n026.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 13:24:27 UTC 2026
% 0.08/0.19 % CPUTime :
% 0.08/0.19 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.08/0.22 Running first-order model finding
% 0.08/0.22 Running: /export/starexec/sandbox/solver/bin/vampire-ho --input_syntax tptp --output_axiom_names on --mode casc --intent sat -m 16384 --cores 7 -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.20/0.29 % (573614)Will run a generic schedule for satisfiability detection.
% 0.20/0.29 % (573621)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=1941812027:i=88024:add=on:rawr=on_2999 on theBenchmark for (2999ds/88024Mi)
% 0.20/0.29 % (573620)% WARNING: option uhcvi not known.
% 0.20/0.29 % (573620)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=2486634871:i=135531:add=off:rawr=on_2999 on theBenchmark for (2999ds/135531Mi)
% 0.20/0.29 % (573619)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=3374928748_2999 on theBenchmark for (2999ds/0Mi)
% 0.20/0.29 % (573622)dis+10_1_sil=32000:sp=arity:random_seed=3209565426:i=103:fgj=on_2999 on theBenchmark for (2999ds/103Mi)
% 0.20/0.29 % (573624)ott+1_1_to=lpo:sil=16000:sp=reverse_arity:erd=off:random_seed=203613278:i=131_2999 on theBenchmark for (2999ds/131Mi)
% 0.20/0.29 % (573623)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=2759544978:i=116_2999 on theBenchmark for (2999ds/116Mi)
% 0.20/0.29 % (573625)ott-3_16_to=lpo:sil=16000:sp=arity:fd=off:rp=on:random_seed=3736770005:i=159:bs=unit_only:nicw=on:fsr=off:amm=off_2999 on theBenchmark for (2999ds/159Mi)
% 0.20/0.29 % (573620)WARNING: Not using 'newcnf' as currently not compatible with higher-order inputs.
% 0.20/0.29 % (573620)WARNING: Look ahead literal selection is not currently compatible with higher-order. Ignoring request to use
% 0.20/0.29 % (573623)WARNING: Not using 'newcnf' as currently not compatible with higher-order inputs.
% 0.20/0.29 % Exception at run slice level
% 0.20/0.29 User error: Finite model building is currently not compatible with polymorphism or higher-order constructs
% 0.20/0.29 % (573623) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-573614-573623"...
% 0.20/0.29 % (573624) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-573614-573624"...
% 0.20/0.29 % (573622) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-573614-573622"...
% 0.20/0.29 % (573620) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-573614-573620"...
% 0.20/0.29 % (573623)...printing done.
% 0.20/0.29 % (573623)Refutation found. Thanks to Tanya!
% 0.20/0.29 % SZS status Theorem for theBenchmark
% 0.20/0.29 % SZS output start Proof for theBenchmark
% See solution above
% 0.20/0.29 % (573623)------------------------------
% 0.20/0.29 % (573623)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.20/0.29 % (573623)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.20/0.29 % (573623)CaDiCaL version: 2.1.3
% 0.20/0.29 % (573623)Termination reason: Refutation
% 0.20/0.29 % (573623)Time elapsed: 0.013 s
% 0.20/0.29 % (573623)Peak memory usage: 12 MB
% 0.20/0.29 % (573623)Instructions burned: 26 (million)
% 0.20/0.29 % (573614)Success in time 0.063 s
% 0.20/0.29 % Vampire exiting
%------------------------------------------------------------------------------