%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : LCL866^1 : TPTP v9.3.1. Bugfixed v5.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% Computer : n002.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 08:15:12 AM UTC 2026
% Result : Theorem 1.18s 0.48s
% Output : Refutation 1.18s
% Verified :
% SZS Type : Refutation
% Derivation depth : 37
% Number of leaves : 14
% Syntax : Number of formulae : 196 ( 36 unt; 0 typ; 10 def)
% Number of atoms : 1804 ( 295 equ; 0 cnn)
% Maximal formula atoms : 10 ( 9 avg)
% Number of connectives : 1827 ( 117 ~; 290 |; 99 &;1108 @)
% ( 14 <=>; 88 =>; 0 <=; 1 <~>)
% Maximal formula depth : 8 ( 3 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of types : 3 ( 1 usr)
% Number of type conns : 66 ( 66 >; 0 *; 0 +; 0 <<)
% Number of symbols : 69 ( 65 usr; 22 con; 0-4 aty)
% ( 110 !!; 0 ??; 0 @@+; 0 @@-)
% Number of variables : 215 ( 0 sgn 52 !; 3 ?; 215 :)
% Comments :
%------------------------------------------------------------------------------
thf(type_def_5,type,
mu: $tType ).
thf(type_def_6,type,
sTfun: ( $tType * $tType ) > $tType ).
thf(func_def_0,type,
meq_ind: mu > mu > $i > $o ).
thf(func_def_1,type,
meq_prop: ( $i > $o ) > ( $i > $o ) > $i > $o ).
thf(func_def_3,type,
mnot: ( $i > $o ) > $i > $o ).
thf(func_def_4,type,
mor: ( $i > $o ) > ( $i > $o ) > $i > $o ).
thf(func_def_5,type,
mand: ( $i > $o ) > ( $i > $o ) > $i > $o ).
thf(func_def_6,type,
mimplies: ( $i > $o ) > ( $i > $o ) > $i > $o ).
thf(func_def_7,type,
mimplied: ( $i > $o ) > ( $i > $o ) > $i > $o ).
thf(func_def_8,type,
mequiv: ( $i > $o ) > ( $i > $o ) > $i > $o ).
thf(func_def_9,type,
mxor: ( $i > $o ) > ( $i > $o ) > $i > $o ).
thf(func_def_10,type,
mforall_ind: ( mu > $i > $o ) > $i > $o ).
thf(func_def_11,type,
mforall_prop: ( ( $i > $o ) > $i > $o ) > $i > $o ).
thf(func_def_12,type,
mexists_ind: ( mu > $i > $o ) > $i > $o ).
thf(func_def_13,type,
mexists_prop: ( ( $i > $o ) > $i > $o ) > $i > $o ).
thf(func_def_14,type,
mtrue: $i > $o ).
thf(func_def_15,type,
mfalse: $i > $o ).
thf(func_def_16,type,
mbox: ( $i > $i > $o ) > ( $i > $o ) > $i > $o ).
thf(func_def_17,type,
mdia: ( $i > $i > $o ) > ( $i > $o ) > $i > $o ).
thf(func_def_18,type,
mreflexive: ( $i > $i > $o ) > $o ).
thf(func_def_19,type,
msymmetric: ( $i > $i > $o ) > $o ).
thf(func_def_20,type,
mserial: ( $i > $i > $o ) > $o ).
thf(func_def_21,type,
mtransitive: ( $i > $i > $o ) > $o ).
thf(func_def_22,type,
meuclidean: ( $i > $i > $o ) > $o ).
thf(func_def_23,type,
mpartially_functional: ( $i > $i > $o ) > $o ).
thf(func_def_24,type,
mfunctional: ( $i > $i > $o ) > $o ).
thf(func_def_25,type,
mweakly_dense: ( $i > $i > $o ) > $o ).
thf(func_def_26,type,
mweakly_connected: ( $i > $i > $o ) > $o ).
thf(func_def_27,type,
mweakly_directed: ( $i > $i > $o ) > $o ).
thf(func_def_28,type,
mvalid: ( $i > $o ) > $o ).
thf(func_def_29,type,
minvalid: ( $i > $o ) > $o ).
thf(func_def_30,type,
msatisfiable: ( $i > $o ) > $o ).
thf(func_def_31,type,
mcountersatisfiable: ( $i > $o ) > $o ).
thf(func_def_32,type,
db2:
!>[X0: $tType] : X0 ).
thf(func_def_33,type,
db1:
!>[X0: $tType] : X0 ).
thf(func_def_34,type,
vEQ:
!>[X0: $tType] : ( X0 > X0 > $o ) ).
thf(func_def_35,type,
vLAM:
!>[X0: $tType,X1: $tType] : ( X1 > X0 > X1 ) ).
thf(func_def_36,type,
db0:
!>[X0: $tType] : X0 ).
thf(func_def_37,type,
vNOT: $o > $o ).
thf(func_def_38,type,
vOR: $o > $o > $o ).
thf(func_def_39,type,
vPI:
!>[X0: $tType] : ( ( X0 > $o ) > $o ) ).
thf(func_def_42,type,
db3:
!>[X0: $tType] : X0 ).
thf(func_def_43,type,
vIMP: $o > $o > $o ).
thf(func_def_44,type,
vSIGMA:
!>[X0: $tType] : ( ( X0 > $o ) > $o ) ).
thf(func_def_45,type,
vAND: $o > $o > $o ).
thf(func_def_46,type,
db4:
!>[X0: $tType] : X0 ).
thf(func_def_47,type,
sK0: $i > $i > $o ).
thf(f19,axiom,
( msymmetric
= ( ^ [X0: $i > $i > $o] :
! [X1: $i,X2: $i] :
( ( X0 @ X1 @ X2 )
=> ( X0 @ X2 @ X1 ) ) ) ),
file('/export/starexec/sandbox/benchmark/Axioms/LCL013^0.ax',msymmetric) ).
thf(f21,axiom,
( mtransitive
= ( ^ [X0: $i > $i > $o] :
! [X1: $i,X2: $i,X3: $i] :
( ( ( X0 @ X2 @ X3 )
& ( X0 @ X1 @ X2 ) )
=> ( X0 @ X1 @ X3 ) ) ) ),
file('/export/starexec/sandbox/benchmark/Axioms/LCL013^0.ax',mtransitive) ).
thf(f22,axiom,
( meuclidean
= ( ^ [X0: $i > $i > $o] :
! [X1: $i,X2: $i,X3: $i] :
( ( ( X0 @ X1 @ X3 )
& ( X0 @ X1 @ X2 ) )
=> ( X0 @ X2 @ X3 ) ) ) ),
file('/export/starexec/sandbox/benchmark/Axioms/LCL013^0.ax',meuclidean) ).
thf(f32,conjecture,
! [X0: $i > $i > $o] :
( ( ( meuclidean @ X0 )
& ( msymmetric @ X0 ) )
<=> ( ( meuclidean @ X0 )
& ( msymmetric @ X0 )
& ( mtransitive @ X0 ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',conj) ).
thf(f33,negated_conjecture,
~ ! [X0: $i > $i > $o] :
( ( ( meuclidean @ X0 )
& ( msymmetric @ X0 ) )
<=> ( ( meuclidean @ X0 )
& ( msymmetric @ X0 )
& ( mtransitive @ X0 ) ) ),
inference(negated_conjecture,[status(cth)],[f32]) ).
thf(f59,plain,
( msymmetric
= ( ^ [X0: $i > $i > $o] :
! [X1: $i,X2: $i] :
( ( X0 @ X1 @ X2 )
=> ( X0 @ X2 @ X1 ) ) ) ),
inference(rectify,[],[f19]) ).
thf(f60,plain,
( msymmetric
= ( ^ [Y0: $i > $i > $o] :
( !! @ $i
@ ^ [Y1: $i] :
( !! @ $i
@ ^ [Y2: $i] :
( ( Y0 @ Y2 @ Y1 )
=> ( Y0 @ Y1 @ Y2 ) ) ) ) ) ),
inference(fool_elimination,[],[f59]) ).
thf(f63,plain,
( mtransitive
= ( ^ [X0: $i > $i > $o] :
! [X1: $i,X2: $i,X3: $i] :
( ( ( X0 @ X2 @ X3 )
& ( X0 @ X1 @ X2 ) )
=> ( X0 @ X1 @ X3 ) ) ) ),
inference(rectify,[],[f21]) ).
thf(f64,plain,
( mtransitive
= ( ^ [Y0: $i > $i > $o] :
( !! @ $i
@ ^ [Y1: $i] :
( !! @ $i
@ ^ [Y2: $i] :
( !! @ $i
@ ^ [Y3: $i] :
( ( ( Y0 @ Y3 @ Y2 )
& ( Y0 @ Y2 @ Y1 ) )
=> ( Y0 @ Y3 @ Y1 ) ) ) ) ) ) ),
inference(fool_elimination,[],[f63]) ).
thf(f65,plain,
( meuclidean
= ( ^ [X0: $i > $i > $o] :
! [X1: $i,X2: $i,X3: $i] :
( ( ( X0 @ X1 @ X3 )
& ( X0 @ X1 @ X2 ) )
=> ( X0 @ X2 @ X3 ) ) ) ),
inference(rectify,[],[f22]) ).
thf(f66,plain,
( meuclidean
= ( ^ [Y0: $i > $i > $o] :
( !! @ $i
@ ^ [Y1: $i] :
( !! @ $i
@ ^ [Y2: $i] :
( !! @ $i
@ ^ [Y3: $i] :
( ( ( Y0 @ Y3 @ Y2 )
& ( Y0 @ Y3 @ Y1 ) )
=> ( Y0 @ Y2 @ Y1 ) ) ) ) ) ) ),
inference(fool_elimination,[],[f65]) ).
thf(f85,plain,
~ ! [X0: $i > $i > $o] :
( ( ( meuclidean @ X0 )
& ( msymmetric @ X0 ) )
<=> ( ( meuclidean @ X0 )
& ( msymmetric @ X0 )
& ( mtransitive @ X0 ) ) ),
inference(rectify,[],[f33]) ).
thf(f86,plain,
~ ! [X0: $i > $i > $o] :
( ( ( ( meuclidean @ X0 )
= $true )
& ( ( msymmetric @ X0 )
= $true ) )
<=> ( ( ( meuclidean @ X0 )
= $true )
& ( ( msymmetric @ X0 )
= $true )
& ( ( mtransitive @ X0 )
= $true ) ) ),
inference(fool_elimination,[],[f85]) ).
thf(f87,plain,
? [X0: $i > $i > $o] :
( ( ( ( meuclidean @ X0 )
= $true )
& ( ( msymmetric @ X0 )
= $true ) )
<~> ( ( ( meuclidean @ X0 )
= $true )
& ( ( msymmetric @ X0 )
= $true )
& ( ( mtransitive @ X0 )
= $true ) ) ),
inference(ennf_transformation,[],[f86]) ).
thf(f88,plain,
? [X0: $i > $i > $o] :
( ( ( ( meuclidean @ X0 )
!= $true )
| ( ( msymmetric @ X0 )
!= $true )
| ( ( mtransitive @ X0 )
!= $true )
| ( ( meuclidean @ X0 )
!= $true )
| ( ( msymmetric @ X0 )
!= $true ) )
& ( ( ( ( meuclidean @ X0 )
= $true )
& ( ( msymmetric @ X0 )
= $true )
& ( ( mtransitive @ X0 )
= $true ) )
| ( ( ( meuclidean @ X0 )
= $true )
& ( ( msymmetric @ X0 )
= $true ) ) ) ),
inference(nnf_transformation,[],[f87]) ).
thf(f89,plain,
? [X0: $i > $i > $o] :
( ( ( ( meuclidean @ X0 )
!= $true )
| ( ( msymmetric @ X0 )
!= $true )
| ( ( mtransitive @ X0 )
!= $true )
| ( ( meuclidean @ X0 )
!= $true )
| ( ( msymmetric @ X0 )
!= $true ) )
& ( ( ( ( meuclidean @ X0 )
= $true )
& ( ( msymmetric @ X0 )
= $true )
& ( ( mtransitive @ X0 )
= $true ) )
| ( ( ( meuclidean @ X0 )
= $true )
& ( ( msymmetric @ X0 )
= $true ) ) ) ),
inference(flattening,[],[f88]) ).
thf(f90,plain,
( ( ( $true
!= ( meuclidean @ sK0 ) )
| ( $true
!= ( msymmetric @ sK0 ) )
| ( $true
!= ( mtransitive @ sK0 ) )
| ( $true
!= ( meuclidean @ sK0 ) )
| ( $true
!= ( msymmetric @ sK0 ) ) )
& ( ( ( $true
= ( meuclidean @ sK0 ) )
& ( $true
= ( msymmetric @ sK0 ) )
& ( $true
= ( mtransitive @ sK0 ) ) )
| ( ( $true
= ( meuclidean @ sK0 ) )
& ( $true
= ( msymmetric @ sK0 ) ) ) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK0]),skolemize(X0,sK0)],[f89]) ).
thf(f109,plain,
( msymmetric
= ( ^ [Y0: $i > $i > $o] :
( !! @ $i
@ ^ [Y1: $i] :
( !! @ $i
@ ^ [Y2: $i] :
( ( Y0 @ Y2 @ Y1 )
=> ( Y0 @ Y1 @ Y2 ) ) ) ) ) ),
inference(cnf_transformation,[],[f60]) ).
thf(f111,plain,
( mtransitive
= ( ^ [Y0: $i > $i > $o] :
( !! @ $i
@ ^ [Y1: $i] :
( !! @ $i
@ ^ [Y2: $i] :
( !! @ $i
@ ^ [Y3: $i] :
( ( ( Y0 @ Y3 @ Y2 )
& ( Y0 @ Y2 @ Y1 ) )
=> ( Y0 @ Y3 @ Y1 ) ) ) ) ) ) ),
inference(cnf_transformation,[],[f64]) ).
thf(f112,plain,
( meuclidean
= ( ^ [Y0: $i > $i > $o] :
( !! @ $i
@ ^ [Y1: $i] :
( !! @ $i
@ ^ [Y2: $i] :
( !! @ $i
@ ^ [Y3: $i] :
( ( ( Y0 @ Y3 @ Y2 )
& ( Y0 @ Y3 @ Y1 ) )
=> ( Y0 @ Y2 @ Y1 ) ) ) ) ) ) ),
inference(cnf_transformation,[],[f66]) ).
thf(f124,plain,
( ( $true
= ( msymmetric @ sK0 ) )
| ( $true
= ( msymmetric @ sK0 ) ) ),
inference(cnf_transformation,[],[f90]) ).
thf(f127,plain,
( ( $true
= ( meuclidean @ sK0 ) )
| ( $true
= ( meuclidean @ sK0 ) ) ),
inference(cnf_transformation,[],[f90]) ).
thf(f128,plain,
( ( $true
!= ( meuclidean @ sK0 ) )
| ( $true
!= ( msymmetric @ sK0 ) )
| ( $true
!= ( mtransitive @ sK0 ) )
| ( $true
!= ( meuclidean @ sK0 ) )
| ( $true
!= ( msymmetric @ sK0 ) ) ),
inference(cnf_transformation,[],[f90]) ).
thf(f140,plain,
( ( $true
!= ( ^ [Y0: $i > $i > $o] :
( !! @ $i
@ ^ [Y1: $i] :
( !! @ $i
@ ^ [Y2: $i] :
( !! @ $i
@ ^ [Y3: $i] :
( ( ( Y0 @ Y3 @ Y2 )
& ( Y0 @ Y3 @ Y1 ) )
=> ( Y0 @ Y2 @ Y1 ) ) ) ) )
@ sK0 ) )
| ( $true
!= ( ^ [Y0: $i > $i > $o] :
( !! @ $i
@ ^ [Y1: $i] :
( !! @ $i
@ ^ [Y2: $i] :
( ( Y0 @ Y2 @ Y1 )
=> ( Y0 @ Y1 @ Y2 ) ) ) )
@ sK0 ) )
| ( $true
!= ( ^ [Y0: $i > $i > $o] :
( !! @ $i
@ ^ [Y1: $i] :
( !! @ $i
@ ^ [Y2: $i] :
( !! @ $i
@ ^ [Y3: $i] :
( ( ( Y0 @ Y3 @ Y2 )
& ( Y0 @ Y2 @ Y1 ) )
=> ( Y0 @ Y3 @ Y1 ) ) ) ) )
@ sK0 ) )
| ( $true
!= ( ^ [Y0: $i > $i > $o] :
( !! @ $i
@ ^ [Y1: $i] :
( !! @ $i
@ ^ [Y2: $i] :
( !! @ $i
@ ^ [Y3: $i] :
( ( ( Y0 @ Y3 @ Y2 )
& ( Y0 @ Y3 @ Y1 ) )
=> ( Y0 @ Y2 @ Y1 ) ) ) ) )
@ sK0 ) )
| ( $true
!= ( ^ [Y0: $i > $i > $o] :
( !! @ $i
@ ^ [Y1: $i] :
( !! @ $i
@ ^ [Y2: $i] :
( ( Y0 @ Y2 @ Y1 )
=> ( Y0 @ Y1 @ Y2 ) ) ) )
@ sK0 ) ) ),
inference(definition_unfolding,[],[f128,f112,f109,f111,f112,f109]) ).
thf(f141,plain,
( ( $true
= ( ^ [Y0: $i > $i > $o] :
( !! @ $i
@ ^ [Y1: $i] :
( !! @ $i
@ ^ [Y2: $i] :
( !! @ $i
@ ^ [Y3: $i] :
( ( ( Y0 @ Y3 @ Y2 )
& ( Y0 @ Y3 @ Y1 ) )
=> ( Y0 @ Y2 @ Y1 ) ) ) ) )
@ sK0 ) )
| ( $true
= ( ^ [Y0: $i > $i > $o] :
( !! @ $i
@ ^ [Y1: $i] :
( !! @ $i
@ ^ [Y2: $i] :
( !! @ $i
@ ^ [Y3: $i] :
( ( ( Y0 @ Y3 @ Y2 )
& ( Y0 @ Y3 @ Y1 ) )
=> ( Y0 @ Y2 @ Y1 ) ) ) ) )
@ sK0 ) ) ),
inference(definition_unfolding,[],[f127,f112,f112]) ).
thf(f144,plain,
( ( $true
= ( ^ [Y0: $i > $i > $o] :
( !! @ $i
@ ^ [Y1: $i] :
( !! @ $i
@ ^ [Y2: $i] :
( ( Y0 @ Y2 @ Y1 )
=> ( Y0 @ Y1 @ Y2 ) ) ) )
@ sK0 ) )
| ( $true
= ( ^ [Y0: $i > $i > $o] :
( !! @ $i
@ ^ [Y1: $i] :
( !! @ $i
@ ^ [Y2: $i] :
( ( Y0 @ Y2 @ Y1 )
=> ( Y0 @ Y1 @ Y2 ) ) ) )
@ sK0 ) ) ),
inference(definition_unfolding,[],[f124,f109,f109]) ).
thf(f173,plain,
( $true
= ( ^ [Y0: $i > $i > $o] :
( !! @ $i
@ ^ [Y1: $i] :
( !! @ $i
@ ^ [Y2: $i] :
( ( Y0 @ Y2 @ Y1 )
=> ( Y0 @ Y1 @ Y2 ) ) ) )
@ sK0 ) ),
inference(duplicate_literal_removal,[],[f144]) ).
thf(f174,plain,
( $true
= ( !! @ $i
@ ^ [Y0: $i] :
( !! @ $i
@ ^ [Y1: $i] :
( ( sK0 @ Y1 @ Y0 )
=> ( sK0 @ Y0 @ Y1 ) ) ) ) ),
inference(beta-eta_normalization,[],[f173]) ).
thf(f175,plain,
! [X1: $i] :
( $true
= ( ^ [Y0: $i] :
( !! @ $i
@ ^ [Y1: $i] :
( ( sK0 @ Y1 @ Y0 )
=> ( sK0 @ Y0 @ Y1 ) ) )
@ X1 ) ),
inference(pi_proxy_clausification,[],[f174]) ).
thf(f176,plain,
! [X1: $i] :
( $true
= ( !! @ $i
@ ^ [Y0: $i] :
( ( sK0 @ Y0 @ X1 )
=> ( sK0 @ X1 @ Y0 ) ) ) ),
inference(beta-eta_normalization,[],[f175]) ).
thf(f177,plain,
! [X2: $i,X1: $i] :
( $true
= ( ^ [Y0: $i] :
( ( sK0 @ Y0 @ X1 )
=> ( sK0 @ X1 @ Y0 ) )
@ X2 ) ),
inference(pi_proxy_clausification,[],[f176]) ).
thf(f178,plain,
! [X2: $i,X1: $i] :
( $true
= ( ( sK0 @ X2 @ X1 )
=> ( sK0 @ X1 @ X2 ) ) ),
inference(beta-eta_normalization,[],[f177]) ).
thf(f179,plain,
! [X2: $i,X1: $i] :
( ( $false
= ( sK0 @ X2 @ X1 ) )
| ( $true
= ( sK0 @ X1 @ X2 ) ) ),
inference(imp_proxy_clausification,[],[f178]) ).
thf(f204,plain,
( $true
= ( ^ [Y0: $i > $i > $o] :
( !! @ $i
@ ^ [Y1: $i] :
( !! @ $i
@ ^ [Y2: $i] :
( !! @ $i
@ ^ [Y3: $i] :
( ( ( Y0 @ Y3 @ Y2 )
& ( Y0 @ Y3 @ Y1 ) )
=> ( Y0 @ Y2 @ Y1 ) ) ) ) )
@ sK0 ) ),
inference(duplicate_literal_removal,[],[f141]) ).
thf(f205,plain,
( $true
= ( !! @ $i
@ ^ [Y0: $i] :
( !! @ $i
@ ^ [Y1: $i] :
( !! @ $i
@ ^ [Y2: $i] :
( ( ( sK0 @ Y2 @ Y1 )
& ( sK0 @ Y2 @ Y0 ) )
=> ( sK0 @ Y1 @ Y0 ) ) ) ) ) ),
inference(beta-eta_normalization,[],[f204]) ).
thf(f206,plain,
! [X1: $i] :
( $true
= ( ^ [Y0: $i] :
( !! @ $i
@ ^ [Y1: $i] :
( !! @ $i
@ ^ [Y2: $i] :
( ( ( sK0 @ Y2 @ Y1 )
& ( sK0 @ Y2 @ Y0 ) )
=> ( sK0 @ Y1 @ Y0 ) ) ) )
@ X1 ) ),
inference(pi_proxy_clausification,[],[f205]) ).
thf(f207,plain,
! [X1: $i] :
( $true
= ( !! @ $i
@ ^ [Y0: $i] :
( !! @ $i
@ ^ [Y1: $i] :
( ( ( sK0 @ Y1 @ Y0 )
& ( sK0 @ Y1 @ X1 ) )
=> ( sK0 @ Y0 @ X1 ) ) ) ) ),
inference(beta-eta_normalization,[],[f206]) ).
thf(f208,plain,
! [X2: $i,X1: $i] :
( $true
= ( ^ [Y0: $i] :
( !! @ $i
@ ^ [Y1: $i] :
( ( ( sK0 @ Y1 @ Y0 )
& ( sK0 @ Y1 @ X1 ) )
=> ( sK0 @ Y0 @ X1 ) ) )
@ X2 ) ),
inference(pi_proxy_clausification,[],[f207]) ).
thf(f209,plain,
! [X2: $i,X1: $i] :
( $true
= ( !! @ $i
@ ^ [Y0: $i] :
( ( ( sK0 @ Y0 @ X2 )
& ( sK0 @ Y0 @ X1 ) )
=> ( sK0 @ X2 @ X1 ) ) ) ),
inference(beta-eta_normalization,[],[f208]) ).
thf(f210,plain,
! [X2: $i,X3: $i,X1: $i] :
( $true
= ( ^ [Y0: $i] :
( ( ( sK0 @ Y0 @ X2 )
& ( sK0 @ Y0 @ X1 ) )
=> ( sK0 @ X2 @ X1 ) )
@ X3 ) ),
inference(pi_proxy_clausification,[],[f209]) ).
thf(f211,plain,
! [X2: $i,X3: $i,X1: $i] :
( $true
= ( ( ( sK0 @ X3 @ X2 )
& ( sK0 @ X3 @ X1 ) )
=> ( sK0 @ X2 @ X1 ) ) ),
inference(beta-eta_normalization,[],[f210]) ).
thf(f212,plain,
! [X2: $i,X3: $i,X1: $i] :
( ( $false
= ( ( sK0 @ X3 @ X2 )
& ( sK0 @ X3 @ X1 ) ) )
| ( $true
= ( sK0 @ X2 @ X1 ) ) ),
inference(imp_proxy_clausification,[],[f211]) ).
thf(f213,plain,
! [X2: $i,X3: $i,X1: $i] :
( ( $false
= ( sK0 @ X3 @ X1 ) )
| ( $true
= ( sK0 @ X2 @ X1 ) )
| ( $false
= ( sK0 @ X3 @ X2 ) ) ),
inference(and_proxy_clausification,[],[f212]) ).
thf(f214,plain,
( ( $true
!= ( ^ [Y0: $i > $i > $o] :
( !! @ $i
@ ^ [Y1: $i] :
( !! @ $i
@ ^ [Y2: $i] :
( !! @ $i
@ ^ [Y3: $i] :
( ( ( Y0 @ Y3 @ Y2 )
& ( Y0 @ Y3 @ Y1 ) )
=> ( Y0 @ Y2 @ Y1 ) ) ) ) )
@ sK0 ) )
| ( $true
!= ( ^ [Y0: $i > $i > $o] :
( !! @ $i
@ ^ [Y1: $i] :
( !! @ $i
@ ^ [Y2: $i] :
( ( Y0 @ Y2 @ Y1 )
=> ( Y0 @ Y1 @ Y2 ) ) ) )
@ sK0 ) )
| ( $true
!= ( ^ [Y0: $i > $i > $o] :
( !! @ $i
@ ^ [Y1: $i] :
( !! @ $i
@ ^ [Y2: $i] :
( !! @ $i
@ ^ [Y3: $i] :
( ( ( Y0 @ Y3 @ Y2 )
& ( Y0 @ Y2 @ Y1 ) )
=> ( Y0 @ Y3 @ Y1 ) ) ) ) )
@ sK0 ) ) ),
inference(duplicate_literal_removal,[],[f140]) ).
thf(f215,plain,
( ( $true
!= ( !! @ $i
@ ^ [Y0: $i] :
( !! @ $i
@ ^ [Y1: $i] :
( !! @ $i
@ ^ [Y2: $i] :
( ( ( sK0 @ Y2 @ Y1 )
& ( sK0 @ Y2 @ Y0 ) )
=> ( sK0 @ Y1 @ Y0 ) ) ) ) ) )
| ( $true
!= ( !! @ $i
@ ^ [Y0: $i] :
( !! @ $i
@ ^ [Y1: $i] :
( ( sK0 @ Y1 @ Y0 )
=> ( sK0 @ Y0 @ Y1 ) ) ) ) )
| ( $true
!= ( !! @ $i
@ ^ [Y0: $i] :
( !! @ $i
@ ^ [Y1: $i] :
( !! @ $i
@ ^ [Y2: $i] :
( ( ( sK0 @ Y2 @ Y1 )
& ( sK0 @ Y1 @ Y0 ) )
=> ( sK0 @ Y2 @ Y0 ) ) ) ) ) ) ),
inference(beta-eta_normalization,[],[f214]) ).
thf(f216,plain,
( ( $false
= ( ^ [Y0: $i] :
( !! @ $i
@ ^ [Y1: $i] :
( !! @ $i
@ ^ [Y2: $i] :
( ( ( sK0 @ Y2 @ Y1 )
& ( sK0 @ Y2 @ Y0 ) )
=> ( sK0 @ Y1 @ Y0 ) ) ) )
@ sK1 ) )
| ( $true
!= ( !! @ $i
@ ^ [Y0: $i] :
( !! @ $i
@ ^ [Y1: $i] :
( ( sK0 @ Y1 @ Y0 )
=> ( sK0 @ Y0 @ Y1 ) ) ) ) )
| ( $true
!= ( !! @ $i
@ ^ [Y0: $i] :
( !! @ $i
@ ^ [Y1: $i] :
( !! @ $i
@ ^ [Y2: $i] :
( ( ( sK0 @ Y2 @ Y1 )
& ( sK0 @ Y1 @ Y0 ) )
=> ( sK0 @ Y2 @ Y0 ) ) ) ) ) ) ),
inference(sigma_proxy_clausification,[],[f215]) ).
thf(f217,plain,
( ( $false
= ( ^ [Y0: $i] :
( !! @ $i
@ ^ [Y1: $i] :
( !! @ $i
@ ^ [Y2: $i] :
( ( ( sK0 @ Y2 @ Y1 )
& ( sK0 @ Y2 @ Y0 ) )
=> ( sK0 @ Y1 @ Y0 ) ) ) )
@ sK1 ) )
| ( $false
= ( ^ [Y0: $i] :
( !! @ $i
@ ^ [Y1: $i] :
( ( sK0 @ Y1 @ Y0 )
=> ( sK0 @ Y0 @ Y1 ) ) )
@ sK2 ) )
| ( $true
!= ( !! @ $i
@ ^ [Y0: $i] :
( !! @ $i
@ ^ [Y1: $i] :
( !! @ $i
@ ^ [Y2: $i] :
( ( ( sK0 @ Y2 @ Y1 )
& ( sK0 @ Y1 @ Y0 ) )
=> ( sK0 @ Y2 @ Y0 ) ) ) ) ) ) ),
inference(sigma_proxy_clausification,[],[f216]) ).
thf(f218,plain,
( ( $false
= ( ^ [Y0: $i] :
( !! @ $i
@ ^ [Y1: $i] :
( !! @ $i
@ ^ [Y2: $i] :
( ( ( sK0 @ Y2 @ Y1 )
& ( sK0 @ Y2 @ Y0 ) )
=> ( sK0 @ Y1 @ Y0 ) ) ) )
@ sK1 ) )
| ( $false
= ( ^ [Y0: $i] :
( !! @ $i
@ ^ [Y1: $i] :
( ( sK0 @ Y1 @ Y0 )
=> ( sK0 @ Y0 @ Y1 ) ) )
@ sK2 ) )
| ( $false
= ( ^ [Y0: $i] :
( !! @ $i
@ ^ [Y1: $i] :
( !! @ $i
@ ^ [Y2: $i] :
( ( ( sK0 @ Y2 @ Y1 )
& ( sK0 @ Y1 @ Y0 ) )
=> ( sK0 @ Y2 @ Y0 ) ) ) )
@ sK3 ) ) ),
inference(sigma_proxy_clausification,[],[f217]) ).
thf(f219,plain,
( ( $false
= ( !! @ $i
@ ^ [Y0: $i] :
( !! @ $i
@ ^ [Y1: $i] :
( ( ( sK0 @ Y1 @ Y0 )
& ( sK0 @ Y1 @ sK1 ) )
=> ( sK0 @ Y0 @ sK1 ) ) ) ) )
| ( $false
= ( !! @ $i
@ ^ [Y0: $i] :
( ( sK0 @ Y0 @ sK2 )
=> ( sK0 @ sK2 @ Y0 ) ) ) )
| ( $false
= ( !! @ $i
@ ^ [Y0: $i] :
( !! @ $i
@ ^ [Y1: $i] :
( ( ( sK0 @ Y1 @ Y0 )
& ( sK0 @ Y0 @ sK3 ) )
=> ( sK0 @ Y1 @ sK3 ) ) ) ) ) ),
inference(beta-eta_normalization,[],[f218]) ).
thf(f220,plain,
( ( $false
= ( ^ [Y0: $i] :
( !! @ $i
@ ^ [Y1: $i] :
( ( ( sK0 @ Y1 @ Y0 )
& ( sK0 @ Y1 @ sK1 ) )
=> ( sK0 @ Y0 @ sK1 ) ) )
@ sK4 ) )
| ( $false
= ( !! @ $i
@ ^ [Y0: $i] :
( ( sK0 @ Y0 @ sK2 )
=> ( sK0 @ sK2 @ Y0 ) ) ) )
| ( $false
= ( !! @ $i
@ ^ [Y0: $i] :
( !! @ $i
@ ^ [Y1: $i] :
( ( ( sK0 @ Y1 @ Y0 )
& ( sK0 @ Y0 @ sK3 ) )
=> ( sK0 @ Y1 @ sK3 ) ) ) ) ) ),
inference(sigma_proxy_clausification,[],[f219]) ).
thf(f221,plain,
( ( $false
= ( ^ [Y0: $i] :
( !! @ $i
@ ^ [Y1: $i] :
( ( ( sK0 @ Y1 @ Y0 )
& ( sK0 @ Y1 @ sK1 ) )
=> ( sK0 @ Y0 @ sK1 ) ) )
@ sK4 ) )
| ( $false
= ( ^ [Y0: $i] :
( ( sK0 @ Y0 @ sK2 )
=> ( sK0 @ sK2 @ Y0 ) )
@ sK5 ) )
| ( $false
= ( !! @ $i
@ ^ [Y0: $i] :
( !! @ $i
@ ^ [Y1: $i] :
( ( ( sK0 @ Y1 @ Y0 )
& ( sK0 @ Y0 @ sK3 ) )
=> ( sK0 @ Y1 @ sK3 ) ) ) ) ) ),
inference(sigma_proxy_clausification,[],[f220]) ).
thf(f222,plain,
( ( $false
= ( ^ [Y0: $i] :
( !! @ $i
@ ^ [Y1: $i] :
( ( ( sK0 @ Y1 @ Y0 )
& ( sK0 @ Y1 @ sK1 ) )
=> ( sK0 @ Y0 @ sK1 ) ) )
@ sK4 ) )
| ( $false
= ( ^ [Y0: $i] :
( ( sK0 @ Y0 @ sK2 )
=> ( sK0 @ sK2 @ Y0 ) )
@ sK5 ) )
| ( $false
= ( ^ [Y0: $i] :
( !! @ $i
@ ^ [Y1: $i] :
( ( ( sK0 @ Y1 @ Y0 )
& ( sK0 @ Y0 @ sK3 ) )
=> ( sK0 @ Y1 @ sK3 ) ) )
@ sK6 ) ) ),
inference(sigma_proxy_clausification,[],[f221]) ).
thf(f223,plain,
( ( $false
= ( !! @ $i
@ ^ [Y0: $i] :
( ( ( sK0 @ Y0 @ sK4 )
& ( sK0 @ Y0 @ sK1 ) )
=> ( sK0 @ sK4 @ sK1 ) ) ) )
| ( $false
= ( ( sK0 @ sK5 @ sK2 )
=> ( sK0 @ sK2 @ sK5 ) ) )
| ( $false
= ( !! @ $i
@ ^ [Y0: $i] :
( ( ( sK0 @ Y0 @ sK6 )
& ( sK0 @ sK6 @ sK3 ) )
=> ( sK0 @ Y0 @ sK3 ) ) ) ) ),
inference(beta-eta_normalization,[],[f222]) ).
thf(f224,plain,
( ( $false
= ( ^ [Y0: $i] :
( ( ( sK0 @ Y0 @ sK4 )
& ( sK0 @ Y0 @ sK1 ) )
=> ( sK0 @ sK4 @ sK1 ) )
@ sK7 ) )
| ( $false
= ( ( sK0 @ sK5 @ sK2 )
=> ( sK0 @ sK2 @ sK5 ) ) )
| ( $false
= ( !! @ $i
@ ^ [Y0: $i] :
( ( ( sK0 @ Y0 @ sK6 )
& ( sK0 @ sK6 @ sK3 ) )
=> ( sK0 @ Y0 @ sK3 ) ) ) ) ),
inference(sigma_proxy_clausification,[],[f223]) ).
thf(f225,plain,
( ( $false
= ( ^ [Y0: $i] :
( ( ( sK0 @ Y0 @ sK4 )
& ( sK0 @ Y0 @ sK1 ) )
=> ( sK0 @ sK4 @ sK1 ) )
@ sK7 ) )
| ( $false
= ( sK0 @ sK2 @ sK5 ) )
| ( $false
= ( !! @ $i
@ ^ [Y0: $i] :
( ( ( sK0 @ Y0 @ sK6 )
& ( sK0 @ sK6 @ sK3 ) )
=> ( sK0 @ Y0 @ sK3 ) ) ) ) ),
inference(imp_proxy_clausification,[],[f224]) ).
thf(f226,plain,
( ( $false
= ( ^ [Y0: $i] :
( ( ( sK0 @ Y0 @ sK4 )
& ( sK0 @ Y0 @ sK1 ) )
=> ( sK0 @ sK4 @ sK1 ) )
@ sK7 ) )
| ( $true
= ( sK0 @ sK5 @ sK2 ) )
| ( $false
= ( !! @ $i
@ ^ [Y0: $i] :
( ( ( sK0 @ Y0 @ sK6 )
& ( sK0 @ sK6 @ sK3 ) )
=> ( sK0 @ Y0 @ sK3 ) ) ) ) ),
inference(imp_proxy_clausification,[],[f224]) ).
thf(f227,plain,
( ( $false
= ( ^ [Y0: $i] :
( ( ( sK0 @ Y0 @ sK4 )
& ( sK0 @ Y0 @ sK1 ) )
=> ( sK0 @ sK4 @ sK1 ) )
@ sK7 ) )
| ( $true
= ( sK0 @ sK5 @ sK2 ) )
| ( $false
= ( ^ [Y0: $i] :
( ( ( sK0 @ Y0 @ sK6 )
& ( sK0 @ sK6 @ sK3 ) )
=> ( sK0 @ Y0 @ sK3 ) )
@ sK8 ) ) ),
inference(sigma_proxy_clausification,[],[f226]) ).
thf(f228,plain,
( ( $false
= ( ( ( sK0 @ sK7 @ sK4 )
& ( sK0 @ sK7 @ sK1 ) )
=> ( sK0 @ sK4 @ sK1 ) ) )
| ( $true
= ( sK0 @ sK5 @ sK2 ) )
| ( $false
= ( ( ( sK0 @ sK8 @ sK6 )
& ( sK0 @ sK6 @ sK3 ) )
=> ( sK0 @ sK8 @ sK3 ) ) ) ),
inference(beta-eta_normalization,[],[f227]) ).
thf(f229,plain,
( ( $false
= ( sK0 @ sK4 @ sK1 ) )
| ( $true
= ( sK0 @ sK5 @ sK2 ) )
| ( $false
= ( ( ( sK0 @ sK8 @ sK6 )
& ( sK0 @ sK6 @ sK3 ) )
=> ( sK0 @ sK8 @ sK3 ) ) ) ),
inference(imp_proxy_clausification,[],[f228]) ).
thf(f230,plain,
( ( $true
= ( ( sK0 @ sK7 @ sK4 )
& ( sK0 @ sK7 @ sK1 ) ) )
| ( $true
= ( sK0 @ sK5 @ sK2 ) )
| ( $false
= ( ( ( sK0 @ sK8 @ sK6 )
& ( sK0 @ sK6 @ sK3 ) )
=> ( sK0 @ sK8 @ sK3 ) ) ) ),
inference(imp_proxy_clausification,[],[f228]) ).
thf(f231,plain,
( ( $true
= ( sK0 @ sK7 @ sK1 ) )
| ( $true
= ( sK0 @ sK5 @ sK2 ) )
| ( $false
= ( ( ( sK0 @ sK8 @ sK6 )
& ( sK0 @ sK6 @ sK3 ) )
=> ( sK0 @ sK8 @ sK3 ) ) ) ),
inference(and_proxy_clausification,[],[f230]) ).
thf(f232,plain,
( ( $true
= ( sK0 @ sK7 @ sK4 ) )
| ( $true
= ( sK0 @ sK5 @ sK2 ) )
| ( $false
= ( ( ( sK0 @ sK8 @ sK6 )
& ( sK0 @ sK6 @ sK3 ) )
=> ( sK0 @ sK8 @ sK3 ) ) ) ),
inference(and_proxy_clausification,[],[f230]) ).
thf(f233,plain,
( ( $true
= ( sK0 @ sK7 @ sK4 ) )
| ( $true
= ( sK0 @ sK5 @ sK2 ) )
| ( $false
= ( sK0 @ sK8 @ sK3 ) ) ),
inference(imp_proxy_clausification,[],[f232]) ).
thf(f234,plain,
( ( $true
= ( sK0 @ sK7 @ sK4 ) )
| ( $true
= ( sK0 @ sK5 @ sK2 ) )
| ( $true
= ( ( sK0 @ sK8 @ sK6 )
& ( sK0 @ sK6 @ sK3 ) ) ) ),
inference(imp_proxy_clausification,[],[f232]) ).
thf(f235,plain,
( ( $true
= ( sK0 @ sK7 @ sK4 ) )
| ( $true
= ( sK0 @ sK5 @ sK2 ) )
| ( $true
= ( sK0 @ sK6 @ sK3 ) ) ),
inference(and_proxy_clausification,[],[f234]) ).
thf(f236,plain,
( ( $true
= ( sK0 @ sK7 @ sK4 ) )
| ( $true
= ( sK0 @ sK5 @ sK2 ) )
| ( $true
= ( sK0 @ sK8 @ sK6 ) ) ),
inference(and_proxy_clausification,[],[f234]) ).
thf(f237,plain,
( ( $true
= ( sK0 @ sK7 @ sK1 ) )
| ( $true
= ( sK0 @ sK5 @ sK2 ) )
| ( $false
= ( sK0 @ sK8 @ sK3 ) ) ),
inference(imp_proxy_clausification,[],[f231]) ).
thf(f238,plain,
( ( $true
= ( sK0 @ sK7 @ sK1 ) )
| ( $true
= ( sK0 @ sK5 @ sK2 ) )
| ( $true
= ( ( sK0 @ sK8 @ sK6 )
& ( sK0 @ sK6 @ sK3 ) ) ) ),
inference(imp_proxy_clausification,[],[f231]) ).
thf(f239,plain,
( ( $true
= ( sK0 @ sK7 @ sK1 ) )
| ( $true
= ( sK0 @ sK5 @ sK2 ) )
| ( $true
= ( sK0 @ sK6 @ sK3 ) ) ),
inference(and_proxy_clausification,[],[f238]) ).
thf(f240,plain,
( ( $true
= ( sK0 @ sK7 @ sK1 ) )
| ( $true
= ( sK0 @ sK5 @ sK2 ) )
| ( $true
= ( sK0 @ sK8 @ sK6 ) ) ),
inference(and_proxy_clausification,[],[f238]) ).
thf(f241,plain,
( ( $false
= ( sK0 @ sK4 @ sK1 ) )
| ( $true
= ( sK0 @ sK5 @ sK2 ) )
| ( $false
= ( sK0 @ sK8 @ sK3 ) ) ),
inference(imp_proxy_clausification,[],[f229]) ).
thf(f242,plain,
( ( $false
= ( sK0 @ sK4 @ sK1 ) )
| ( $true
= ( sK0 @ sK5 @ sK2 ) )
| ( $true
= ( ( sK0 @ sK8 @ sK6 )
& ( sK0 @ sK6 @ sK3 ) ) ) ),
inference(imp_proxy_clausification,[],[f229]) ).
thf(f243,plain,
( ( $false
= ( sK0 @ sK4 @ sK1 ) )
| ( $true
= ( sK0 @ sK5 @ sK2 ) )
| ( $true
= ( sK0 @ sK6 @ sK3 ) ) ),
inference(and_proxy_clausification,[],[f242]) ).
thf(f244,plain,
( ( $false
= ( sK0 @ sK4 @ sK1 ) )
| ( $true
= ( sK0 @ sK5 @ sK2 ) )
| ( $true
= ( sK0 @ sK8 @ sK6 ) ) ),
inference(and_proxy_clausification,[],[f242]) ).
thf(f245,plain,
( ( $false
= ( ^ [Y0: $i] :
( ( ( sK0 @ Y0 @ sK4 )
& ( sK0 @ Y0 @ sK1 ) )
=> ( sK0 @ sK4 @ sK1 ) )
@ sK7 ) )
| ( $false
= ( sK0 @ sK2 @ sK5 ) )
| ( $false
= ( ^ [Y0: $i] :
( ( ( sK0 @ Y0 @ sK6 )
& ( sK0 @ sK6 @ sK3 ) )
=> ( sK0 @ Y0 @ sK3 ) )
@ sK9 ) ) ),
inference(sigma_proxy_clausification,[],[f225]) ).
thf(f246,plain,
( ( $false
= ( ( ( sK0 @ sK7 @ sK4 )
& ( sK0 @ sK7 @ sK1 ) )
=> ( sK0 @ sK4 @ sK1 ) ) )
| ( $false
= ( sK0 @ sK2 @ sK5 ) )
| ( $false
= ( ( ( sK0 @ sK9 @ sK6 )
& ( sK0 @ sK6 @ sK3 ) )
=> ( sK0 @ sK9 @ sK3 ) ) ) ),
inference(beta-eta_normalization,[],[f245]) ).
thf(f247,plain,
( ( $false
= ( sK0 @ sK4 @ sK1 ) )
| ( $false
= ( sK0 @ sK2 @ sK5 ) )
| ( $false
= ( ( ( sK0 @ sK9 @ sK6 )
& ( sK0 @ sK6 @ sK3 ) )
=> ( sK0 @ sK9 @ sK3 ) ) ) ),
inference(imp_proxy_clausification,[],[f246]) ).
thf(f248,plain,
( ( $true
= ( ( sK0 @ sK7 @ sK4 )
& ( sK0 @ sK7 @ sK1 ) ) )
| ( $false
= ( sK0 @ sK2 @ sK5 ) )
| ( $false
= ( ( ( sK0 @ sK9 @ sK6 )
& ( sK0 @ sK6 @ sK3 ) )
=> ( sK0 @ sK9 @ sK3 ) ) ) ),
inference(imp_proxy_clausification,[],[f246]) ).
thf(f249,plain,
( ( $true
= ( sK0 @ sK7 @ sK1 ) )
| ( $false
= ( sK0 @ sK2 @ sK5 ) )
| ( $false
= ( ( ( sK0 @ sK9 @ sK6 )
& ( sK0 @ sK6 @ sK3 ) )
=> ( sK0 @ sK9 @ sK3 ) ) ) ),
inference(and_proxy_clausification,[],[f248]) ).
thf(f250,plain,
( ( $true
= ( sK0 @ sK7 @ sK4 ) )
| ( $false
= ( sK0 @ sK2 @ sK5 ) )
| ( $false
= ( ( ( sK0 @ sK9 @ sK6 )
& ( sK0 @ sK6 @ sK3 ) )
=> ( sK0 @ sK9 @ sK3 ) ) ) ),
inference(and_proxy_clausification,[],[f248]) ).
thf(f251,plain,
( ( $true
= ( sK0 @ sK7 @ sK4 ) )
| ( $false
= ( sK0 @ sK2 @ sK5 ) )
| ( $false
= ( sK0 @ sK9 @ sK3 ) ) ),
inference(imp_proxy_clausification,[],[f250]) ).
thf(f252,plain,
( ( $true
= ( sK0 @ sK7 @ sK4 ) )
| ( $false
= ( sK0 @ sK2 @ sK5 ) )
| ( $true
= ( ( sK0 @ sK9 @ sK6 )
& ( sK0 @ sK6 @ sK3 ) ) ) ),
inference(imp_proxy_clausification,[],[f250]) ).
thf(f253,plain,
( ( $true
= ( sK0 @ sK7 @ sK4 ) )
| ( $false
= ( sK0 @ sK2 @ sK5 ) )
| ( $true
= ( sK0 @ sK6 @ sK3 ) ) ),
inference(and_proxy_clausification,[],[f252]) ).
thf(f254,plain,
( ( $true
= ( sK0 @ sK7 @ sK4 ) )
| ( $false
= ( sK0 @ sK2 @ sK5 ) )
| ( $true
= ( sK0 @ sK9 @ sK6 ) ) ),
inference(and_proxy_clausification,[],[f252]) ).
thf(f255,plain,
( ( $true
= ( sK0 @ sK7 @ sK1 ) )
| ( $false
= ( sK0 @ sK2 @ sK5 ) )
| ( $false
= ( sK0 @ sK9 @ sK3 ) ) ),
inference(imp_proxy_clausification,[],[f249]) ).
thf(f256,plain,
( ( $true
= ( sK0 @ sK7 @ sK1 ) )
| ( $false
= ( sK0 @ sK2 @ sK5 ) )
| ( $true
= ( ( sK0 @ sK9 @ sK6 )
& ( sK0 @ sK6 @ sK3 ) ) ) ),
inference(imp_proxy_clausification,[],[f249]) ).
thf(f257,plain,
( ( $true
= ( sK0 @ sK7 @ sK1 ) )
| ( $false
= ( sK0 @ sK2 @ sK5 ) )
| ( $true
= ( sK0 @ sK6 @ sK3 ) ) ),
inference(and_proxy_clausification,[],[f256]) ).
thf(f258,plain,
( ( $true
= ( sK0 @ sK7 @ sK1 ) )
| ( $false
= ( sK0 @ sK2 @ sK5 ) )
| ( $true
= ( sK0 @ sK9 @ sK6 ) ) ),
inference(and_proxy_clausification,[],[f256]) ).
thf(f259,plain,
( ( $false
= ( sK0 @ sK4 @ sK1 ) )
| ( $false
= ( sK0 @ sK2 @ sK5 ) )
| ( $false
= ( sK0 @ sK9 @ sK3 ) ) ),
inference(imp_proxy_clausification,[],[f247]) ).
thf(f260,plain,
( ( $false
= ( sK0 @ sK4 @ sK1 ) )
| ( $false
= ( sK0 @ sK2 @ sK5 ) )
| ( $true
= ( ( sK0 @ sK9 @ sK6 )
& ( sK0 @ sK6 @ sK3 ) ) ) ),
inference(imp_proxy_clausification,[],[f247]) ).
thf(f261,plain,
( ( $false
= ( sK0 @ sK4 @ sK1 ) )
| ( $false
= ( sK0 @ sK2 @ sK5 ) )
| ( $true
= ( sK0 @ sK6 @ sK3 ) ) ),
inference(and_proxy_clausification,[],[f260]) ).
thf(f262,plain,
( ( $false
= ( sK0 @ sK4 @ sK1 ) )
| ( $false
= ( sK0 @ sK2 @ sK5 ) )
| ( $true
= ( sK0 @ sK9 @ sK6 ) ) ),
inference(and_proxy_clausification,[],[f260]) ).
thf(f277,definition,
( spl10_4
<=> ( $true
= ( sK0 @ sK8 @ sK6 ) ) ),
introduced(definition,[new_symbols(definition,[spl10_4])],[avatar_definition]) ).
thf(f279,plain,
( ( $true
= ( sK0 @ sK8 @ sK6 ) )
| ~ spl10_4 ),
inference(avatar_component_clause,[],[f277]) ).
thf(f281,definition,
( spl10_5
<=> ( $true
= ( sK0 @ sK5 @ sK2 ) ) ),
introduced(definition,[new_symbols(definition,[spl10_5])],[avatar_definition]) ).
thf(f283,plain,
( ( $true
= ( sK0 @ sK5 @ sK2 ) )
| ~ spl10_5 ),
inference(avatar_component_clause,[],[f281]) ).
thf(f285,definition,
( spl10_6
<=> ( $true
= ( sK0 @ sK7 @ sK4 ) ) ),
introduced(definition,[new_symbols(definition,[spl10_6])],[avatar_definition]) ).
thf(f287,plain,
( ( $true
= ( sK0 @ sK7 @ sK4 ) )
| ~ spl10_6 ),
inference(avatar_component_clause,[],[f285]) ).
thf(f288,plain,
( spl10_4
| spl10_5
| spl10_6 ),
inference(avatar_split_clause,[],[f236,f285,f281,f277]) ).
thf(f290,definition,
( spl10_7
<=> ( $true
= ( sK0 @ sK6 @ sK3 ) ) ),
introduced(definition,[new_symbols(definition,[spl10_7])],[avatar_definition]) ).
thf(f292,plain,
( ( $true
= ( sK0 @ sK6 @ sK3 ) )
| ~ spl10_7 ),
inference(avatar_component_clause,[],[f290]) ).
thf(f293,plain,
( spl10_7
| spl10_5
| spl10_6 ),
inference(avatar_split_clause,[],[f235,f285,f281,f290]) ).
thf(f295,definition,
( spl10_8
<=> ( $false
= ( sK0 @ sK8 @ sK3 ) ) ),
introduced(definition,[new_symbols(definition,[spl10_8])],[avatar_definition]) ).
thf(f297,plain,
( ( $false
= ( sK0 @ sK8 @ sK3 ) )
| ~ spl10_8 ),
inference(avatar_component_clause,[],[f295]) ).
thf(f298,plain,
( spl10_8
| spl10_5
| spl10_6 ),
inference(avatar_split_clause,[],[f233,f285,f281,f295]) ).
thf(f300,definition,
( spl10_9
<=> ( $true
= ( sK0 @ sK7 @ sK1 ) ) ),
introduced(definition,[new_symbols(definition,[spl10_9])],[avatar_definition]) ).
thf(f302,plain,
( ( $true
= ( sK0 @ sK7 @ sK1 ) )
| ~ spl10_9 ),
inference(avatar_component_clause,[],[f300]) ).
thf(f303,plain,
( spl10_4
| spl10_5
| spl10_9 ),
inference(avatar_split_clause,[],[f240,f300,f281,f277]) ).
thf(f304,plain,
( spl10_7
| spl10_5
| spl10_9 ),
inference(avatar_split_clause,[],[f239,f300,f281,f290]) ).
thf(f305,plain,
( spl10_8
| spl10_5
| spl10_9 ),
inference(avatar_split_clause,[],[f237,f300,f281,f295]) ).
thf(f307,definition,
( spl10_10
<=> ( $false
= ( sK0 @ sK4 @ sK1 ) ) ),
introduced(definition,[new_symbols(definition,[spl10_10])],[avatar_definition]) ).
thf(f309,plain,
( ( $false
= ( sK0 @ sK4 @ sK1 ) )
| ~ spl10_10 ),
inference(avatar_component_clause,[],[f307]) ).
thf(f310,plain,
( spl10_4
| spl10_5
| spl10_10 ),
inference(avatar_split_clause,[],[f244,f307,f281,f277]) ).
thf(f311,plain,
( spl10_7
| spl10_5
| spl10_10 ),
inference(avatar_split_clause,[],[f243,f307,f281,f290]) ).
thf(f312,plain,
( spl10_8
| spl10_5
| spl10_10 ),
inference(avatar_split_clause,[],[f241,f307,f281,f295]) ).
thf(f314,definition,
( spl10_11
<=> ( $true
= ( sK0 @ sK9 @ sK6 ) ) ),
introduced(definition,[new_symbols(definition,[spl10_11])],[avatar_definition]) ).
thf(f316,plain,
( ( $true
= ( sK0 @ sK9 @ sK6 ) )
| ~ spl10_11 ),
inference(avatar_component_clause,[],[f314]) ).
thf(f318,definition,
( spl10_12
<=> ( $false
= ( sK0 @ sK2 @ sK5 ) ) ),
introduced(definition,[new_symbols(definition,[spl10_12])],[avatar_definition]) ).
thf(f320,plain,
( ( $false
= ( sK0 @ sK2 @ sK5 ) )
| ~ spl10_12 ),
inference(avatar_component_clause,[],[f318]) ).
thf(f321,plain,
( spl10_11
| spl10_12
| spl10_6 ),
inference(avatar_split_clause,[],[f254,f285,f318,f314]) ).
thf(f322,plain,
( spl10_7
| spl10_12
| spl10_6 ),
inference(avatar_split_clause,[],[f253,f285,f318,f290]) ).
thf(f324,definition,
( spl10_13
<=> ( $false
= ( sK0 @ sK9 @ sK3 ) ) ),
introduced(definition,[new_symbols(definition,[spl10_13])],[avatar_definition]) ).
thf(f326,plain,
( ( $false
= ( sK0 @ sK9 @ sK3 ) )
| ~ spl10_13 ),
inference(avatar_component_clause,[],[f324]) ).
thf(f327,plain,
( spl10_13
| spl10_12
| spl10_6 ),
inference(avatar_split_clause,[],[f251,f285,f318,f324]) ).
thf(f328,plain,
( spl10_11
| spl10_12
| spl10_9 ),
inference(avatar_split_clause,[],[f258,f300,f318,f314]) ).
thf(f329,plain,
( spl10_7
| spl10_12
| spl10_9 ),
inference(avatar_split_clause,[],[f257,f300,f318,f290]) ).
thf(f330,plain,
( spl10_13
| spl10_12
| spl10_9 ),
inference(avatar_split_clause,[],[f255,f300,f318,f324]) ).
thf(f331,plain,
( spl10_11
| spl10_12
| spl10_10 ),
inference(avatar_split_clause,[],[f262,f307,f318,f314]) ).
thf(f332,plain,
( spl10_7
| spl10_12
| spl10_10 ),
inference(avatar_split_clause,[],[f261,f307,f318,f290]) ).
thf(f333,plain,
( spl10_13
| spl10_12
| spl10_10 ),
inference(avatar_split_clause,[],[f259,f307,f318,f324]) ).
thf(f343,plain,
( ( $true = $false )
| ( $true
= ( sK0 @ sK2 @ sK5 ) )
| ~ spl10_5 ),
inference(constrained_superposition,[],[f179,f283]) ).
thf(f358,plain,
( ( $true
= ( sK0 @ sK2 @ sK5 ) )
| ~ spl10_5 ),
inference(trivial_inequality_removal,[],[f343]) ).
thf(f362,plain,
( ( $true = $false )
| ~ spl10_5
| ~ spl10_12 ),
inference(forward_demodulation,[],[f358,f320]) ).
thf(f363,plain,
( $false
| ~ spl10_5
| ~ spl10_12 ),
inference(trivial_inequality_removal,[],[f362]) ).
thf(f364,plain,
( ~ spl10_5
| ~ spl10_12 ),
inference(avatar_contradiction_clause,[],[f363]) ).
thf(f436,plain,
( ! [X0: $i] :
( ( $true = $false )
| ( $false
= ( sK0 @ X0 @ sK1 ) )
| ( $false
= ( sK0 @ X0 @ sK4 ) ) )
| ~ spl10_10 ),
inference(constrained_superposition,[],[f309,f213]) ).
thf(f462,plain,
( ! [X0: $i] :
( ( $false
= ( sK0 @ X0 @ sK4 ) )
| ( $false
= ( sK0 @ X0 @ sK1 ) ) )
| ~ spl10_10 ),
inference(trivial_inequality_removal,[],[f436]) ).
thf(f682,plain,
( ( $true = $false )
| ( $false
= ( sK0 @ sK7 @ sK1 ) )
| ~ spl10_6
| ~ spl10_10 ),
inference(constrained_superposition,[],[f287,f462]) ).
thf(f683,plain,
( ( $false
= ( sK0 @ sK7 @ sK1 ) )
| ~ spl10_6
| ~ spl10_10 ),
inference(trivial_inequality_removal,[],[f682]) ).
thf(f698,plain,
( ( $true = $false )
| ~ spl10_6
| ~ spl10_9
| ~ spl10_10 ),
inference(constrained_superposition,[],[f683,f302]) ).
thf(f708,plain,
( $false
| ~ spl10_6
| ~ spl10_9
| ~ spl10_10 ),
inference(trivial_inequality_removal,[],[f698]) ).
thf(f709,plain,
( ~ spl10_6
| ~ spl10_9
| ~ spl10_10 ),
inference(avatar_contradiction_clause,[],[f708]) ).
thf(f729,plain,
( ! [X0: $i] :
( ( $true = $false )
| ( $false
= ( sK0 @ X0 @ sK3 ) )
| ( $false
= ( sK0 @ X0 @ sK9 ) ) )
| ~ spl10_13 ),
inference(constrained_superposition,[],[f213,f326]) ).
thf(f730,plain,
( ! [X0: $i] :
( ( $false
= ( sK0 @ X0 @ sK9 ) )
| ( $false
= ( sK0 @ X0 @ sK3 ) ) )
| ~ spl10_13 ),
inference(trivial_inequality_removal,[],[f729]) ).
thf(f760,plain,
( ( $true = $false )
| ( $true
= ( sK0 @ sK6 @ sK9 ) )
| ~ spl10_11 ),
inference(constrained_superposition,[],[f179,f316]) ).
thf(f769,plain,
( ( $true
= ( sK0 @ sK6 @ sK9 ) )
| ~ spl10_11 ),
inference(trivial_inequality_removal,[],[f760]) ).
thf(f1012,plain,
( ( $true = $false )
| ( $false
= ( sK0 @ sK6 @ sK3 ) )
| ~ spl10_11
| ~ spl10_13 ),
inference(constrained_superposition,[],[f769,f730]) ).
thf(f1015,plain,
( ( $false
= ( sK0 @ sK6 @ sK3 ) )
| ~ spl10_11
| ~ spl10_13 ),
inference(trivial_inequality_removal,[],[f1012]) ).
thf(f1029,plain,
( ( $true = $false )
| ~ spl10_7
| ~ spl10_11
| ~ spl10_13 ),
inference(constrained_superposition,[],[f1015,f292]) ).
thf(f1039,plain,
( $false
| ~ spl10_7
| ~ spl10_11
| ~ spl10_13 ),
inference(trivial_inequality_removal,[],[f1029]) ).
thf(f1040,plain,
( ~ spl10_7
| ~ spl10_11
| ~ spl10_13 ),
inference(avatar_contradiction_clause,[],[f1039]) ).
thf(f1047,plain,
( ! [X0: $i] :
( ( $true = $false )
| ( $false
= ( sK0 @ X0 @ sK3 ) )
| ( $false
= ( sK0 @ X0 @ sK8 ) ) )
| ~ spl10_8 ),
inference(constrained_superposition,[],[f213,f297]) ).
thf(f1048,plain,
( ! [X0: $i] :
( ( $false
= ( sK0 @ X0 @ sK8 ) )
| ( $false
= ( sK0 @ X0 @ sK3 ) ) )
| ~ spl10_8 ),
inference(trivial_inequality_removal,[],[f1047]) ).
thf(f1071,plain,
( ( $true = $false )
| ( $true
= ( sK0 @ sK6 @ sK8 ) )
| ~ spl10_4 ),
inference(constrained_superposition,[],[f179,f279]) ).
thf(f1080,plain,
( ( $true
= ( sK0 @ sK6 @ sK8 ) )
| ~ spl10_4 ),
inference(trivial_inequality_removal,[],[f1071]) ).
thf(f1214,plain,
( ( $true = $false )
| ( $false
= ( sK0 @ sK6 @ sK3 ) )
| ~ spl10_4
| ~ spl10_8 ),
inference(constrained_superposition,[],[f1080,f1048]) ).
thf(f1217,plain,
( ( $false
= ( sK0 @ sK6 @ sK3 ) )
| ~ spl10_4
| ~ spl10_8 ),
inference(trivial_inequality_removal,[],[f1214]) ).
thf(f1231,plain,
( ( $true = $false )
| ~ spl10_4
| ~ spl10_7
| ~ spl10_8 ),
inference(constrained_superposition,[],[f1217,f292]) ).
thf(f1241,plain,
( $false
| ~ spl10_4
| ~ spl10_7
| ~ spl10_8 ),
inference(trivial_inequality_removal,[],[f1231]) ).
thf(f1242,plain,
( ~ spl10_4
| ~ spl10_7
| ~ spl10_8 ),
inference(avatar_contradiction_clause,[],[f1241]) ).
cnf(s5,plain,
( spl10_4
| spl10_5
| spl10_6 ),
inference(sat_conversion,[],[f288]) ).
cnf(s6,plain,
( spl10_5
| spl10_6
| spl10_7 ),
inference(sat_conversion,[],[f293]) ).
cnf(s7,plain,
( spl10_5
| spl10_6
| spl10_8 ),
inference(sat_conversion,[],[f298]) ).
cnf(s8,plain,
( spl10_4
| spl10_5
| spl10_9 ),
inference(sat_conversion,[],[f303]) ).
cnf(s9,plain,
( spl10_5
| spl10_7
| spl10_9 ),
inference(sat_conversion,[],[f304]) ).
cnf(s10,plain,
( spl10_5
| spl10_8
| spl10_9 ),
inference(sat_conversion,[],[f305]) ).
cnf(s11,plain,
( spl10_4
| spl10_5
| spl10_10 ),
inference(sat_conversion,[],[f310]) ).
cnf(s12,plain,
( spl10_5
| spl10_7
| spl10_10 ),
inference(sat_conversion,[],[f311]) ).
cnf(s13,plain,
( spl10_5
| spl10_8
| spl10_10 ),
inference(sat_conversion,[],[f312]) ).
cnf(s14,plain,
( spl10_6
| spl10_11
| spl10_12 ),
inference(sat_conversion,[],[f321]) ).
cnf(s15,plain,
( spl10_6
| spl10_7
| spl10_12 ),
inference(sat_conversion,[],[f322]) ).
cnf(s16,plain,
( spl10_6
| spl10_12
| spl10_13 ),
inference(sat_conversion,[],[f327]) ).
cnf(s17,plain,
( spl10_9
| spl10_11
| spl10_12 ),
inference(sat_conversion,[],[f328]) ).
cnf(s18,plain,
( spl10_7
| spl10_9
| spl10_12 ),
inference(sat_conversion,[],[f329]) ).
cnf(s19,plain,
( spl10_9
| spl10_12
| spl10_13 ),
inference(sat_conversion,[],[f330]) ).
cnf(s20,plain,
( spl10_10
| spl10_11
| spl10_12 ),
inference(sat_conversion,[],[f331]) ).
cnf(s21,plain,
( spl10_7
| spl10_10
| spl10_12 ),
inference(sat_conversion,[],[f332]) ).
cnf(s22,plain,
( spl10_10
| spl10_12
| spl10_13 ),
inference(sat_conversion,[],[f333]) ).
cnf(s24,plain,
( ~ spl10_5
| ~ spl10_12 ),
inference(sat_conversion,[],[f364]) ).
cnf(s26,plain,
( ~ spl10_6
| ~ spl10_9
| ~ spl10_10 ),
inference(sat_conversion,[],[f709]) ).
cnf(s28,plain,
( ~ spl10_7
| ~ spl10_11
| ~ spl10_13 ),
inference(sat_conversion,[],[f1040]) ).
cnf(s30,plain,
( ~ spl10_4
| ~ spl10_7
| ~ spl10_8 ),
inference(sat_conversion,[],[f1242]) ).
cnf(s31,plain,
( spl10_5
| spl10_4 ),
inference(rat,[],[s26,s5,s11,s8]) ).
cnf(s32,plain,
( spl10_10
| spl10_12 ),
inference(rat,[],[s28,s20,s21,s22]) ).
cnf(s33,plain,
( spl10_9
| spl10_12 ),
inference(rat,[],[s28,s19,s17,s18]) ).
cnf(s34,plain,
( spl10_6
| spl10_12 ),
inference(rat,[],[s28,s14,s15,s16]) ).
cnf(s35,plain,
spl10_12,
inference(rat,[],[s34,s26,s33,s32]) ).
cnf(s36,plain,
~ spl10_5,
inference(rat,[],[s24,s35]) ).
cnf(s37,plain,
spl10_4,
inference(rat,[],[s31,s36]) ).
cnf(s38,plain,
spl10_8,
inference(rat,[],[s26,s7,s10,s13,s36]) ).
cnf(s39,plain,
~ spl10_7,
inference(rat,[],[s30,s37,s38]) ).
cnf(s40,plain,
spl10_10,
inference(rat,[],[s12,s36,s39]) ).
cnf(s41,plain,
spl10_9,
inference(rat,[],[s9,s36,s39]) ).
cnf(s42,plain,
spl10_6,
inference(rat,[],[s6,s36,s39]) ).
cnf(s43,plain,
$false,
inference(rat,[],[s26,s40,s42,s41]) ).
thf(f1245,plain,
$false,
inference(avatar_sat_refutation,[],[s43]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : LCL866^1 : TPTP v9.3.1. Bugfixed v5.0.0.
% 0.00/0.06 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.09/0.21 % Computer : n002.cluster.edu
% 0.09/0.21 % Model : x86_64 x86_64
% 0.09/0.21 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.21 % Memory : 8046.5625MB
% 0.09/0.21 % OS : Linux 6.8.0-71-generic
% 0.09/0.21 % CPULimit : 300
% 0.09/0.21 % WCLimit : 300
% 0.09/0.21 % DateTime : Tue Sep 29 10:25:09 UTC 2026
% 0.09/0.21 % CPUTime :
% 0.09/0.21 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.09/0.25 Running first-order model finding
% 0.09/0.25 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
% 1.18/0.48 % (1099350)Will run a generic schedule for satisfiability detection.
% 1.18/0.48 % (1099356)% WARNING: option uhcvi not known.
% 1.18/0.48 % (1099359)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=1949522382:i=116_2999 on theBenchmark for (2999ds/116Mi)
% 1.18/0.48 % (1099355)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=1118125109_2999 on theBenchmark for (2999ds/0Mi)
% 1.18/0.48 % (1099358)dis+10_1_sil=32000:sp=arity:random_seed=488210019:i=103:fgj=on_2999 on theBenchmark for (2999ds/103Mi)
% 1.18/0.48 % (1099357)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=1128321982:i=88024:add=on:rawr=on_2999 on theBenchmark for (2999ds/88024Mi)
% 1.18/0.48 % (1099356)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=2382243631:i=135531:add=off:rawr=on_2999 on theBenchmark for (2999ds/135531Mi)
% 1.18/0.48 % (1099359)WARNING: Not using 'newcnf' as currently not compatible with higher-order inputs.
% 1.18/0.48 % (1099356)WARNING: Not using 'newcnf' as currently not compatible with higher-order inputs.
% 1.18/0.48 % Exception at run slice level
% 1.18/0.48 User error: Finite model building is currently not compatible with polymorphism or higher-order constructs
% 1.18/0.48 % (1099356)WARNING: Look ahead literal selection is not currently compatible with higher-order. Ignoring request to use
% 1.18/0.48 % (1099360)ott+1_1_to=lpo:sil=16000:sp=reverse_arity:erd=off:random_seed=4138421825:i=131_2999 on theBenchmark for (2999ds/131Mi)
% 1.18/0.48 % (1099361)ott-3_16_to=lpo:sil=16000:sp=arity:fd=off:rp=on:random_seed=3433161103:i=159:bs=unit_only:nicw=on:fsr=off:amm=off_2999 on theBenchmark for (2999ds/159Mi)
% 1.18/0.48 % (1099367)fmb+10_1_fmbas=predicate:sil=64000:sas=cadical:random_seed=835908788:i=714:nm=2_2999 on theBenchmark for (2999ds/714Mi)
% 1.18/0.48 % Exception at run slice level
% 1.18/0.48 User error: Finite model building is currently not compatible with polymorphism or higher-order constructs
% 1.18/0.48 % (1099359)Instruction limit reached!
% 1.18/0.48 % (1099359)------------------------------
% 1.18/0.48 % (1099359)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.18/0.48 % (1099359)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.18/0.48 % (1099359)CaDiCaL version: 2.1.3
% 1.18/0.48 % (1099359)Termination reason: Instruction limit
% 1.18/0.48 % (1099359)Termination phase: Saturation
% 1.18/0.48 % (1099359)Time elapsed: 0.049 s
% 1.18/0.48 % (1099359)Peak memory usage: 12 MB
% 1.18/0.48 % (1099359)Instructions burned: 117 (million)
% 1.18/0.48 % (1099358)Instruction limit reached!
% 1.18/0.48 % (1099358)------------------------------
% 1.18/0.48 % (1099358)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.18/0.48 % (1099358)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.18/0.48 % (1099358)CaDiCaL version: 2.1.3
% 1.18/0.48 % (1099358)Termination reason: Instruction limit
% 1.18/0.48 % (1099358)Termination phase: Saturation
% 1.18/0.48 % (1099358)Time elapsed: 0.058 s
% 1.18/0.48 % (1099358)Peak memory usage: 12 MB
% 1.18/0.48 % (1099358)Instructions burned: 103 (million)
% 1.18/0.48 % (1099360)Instruction limit reached!
% 1.18/0.48 % (1099360)------------------------------
% 1.18/0.48 % (1099360)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.18/0.48 % (1099360)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.18/0.48 % (1099360)CaDiCaL version: 2.1.3
% 1.18/0.48 % (1099360)Termination reason: Instruction limit
% 1.18/0.48 % (1099360)Termination phase: Saturation
% 1.18/0.48 % (1099360)Time elapsed: 0.064 s
% 1.18/0.48 % (1099360)Peak memory usage: 12 MB
% 1.18/0.48 % (1099360)Instructions burned: 131 (million)
% 1.18/0.48 % (1099371)ott+32_1_sil=16000:bsd=on:sp=const_max:bce=on:random_seed=4123301768:i=131:bd=preordered:fsd=on_2999 on theBenchmark for (2999ds/131Mi)
% 1.18/0.48 % (1099372)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=626559700:i=684:slsql=off:bs=unit_only:nicw=on:rawr=on_2999 on theBenchmark for (2999ds/684Mi)
% 1.18/0.48 % (1099374)dis+10_4_sil=64000:sp=reverse_arity:bsr=on:sac=on:cn=on:random_seed=4179413534:i=477:bd=all_2998 on theBenchmark for (2998ds/477Mi)
% 1.18/0.48 % (1099372)WARNING: Not using 'newcnf' as currently not compatible with higher-order inputs.
% 1.18/0.48 % (1099372)WARNING: Look ahead literal selection is not currently compatible with higher-order. Ignoring request to use
% 1.18/0.48 % (1099373)ott-21_1_sil=16000:fs=off:random_seed=2811677493:i=180:av=off:fsr=off_2999 on theBenchmark for (2999ds/180Mi)
% 1.18/0.48 % (1099361)Instruction limit reached!
% 1.18/0.48 % (1099361)------------------------------
% 1.18/0.48 % (1099361)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.18/0.48 % (1099361)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.18/0.48 % (1099361)CaDiCaL version: 2.1.3
% 1.18/0.48 % (1099361)Termination reason: Instruction limit
% 1.18/0.48 % (1099361)Termination phase: Saturation
% 1.18/0.48 % (1099361)Time elapsed: 0.097 s
% 1.18/0.48 % (1099361)Peak memory usage: 13 MB
% 1.18/0.48 % (1099361)Instructions burned: 160 (million)
% 1.18/0.48 % (1099379)fmb+10_1_sil=64000:erd=off:updr=off:random_seed=4014700520:fmbsr=1.3:i=865:ins=25_2998 on theBenchmark for (2998ds/865Mi)
% 1.18/0.48 % Exception at run slice level
% 1.18/0.48 User error: Finite model building is currently not compatible with polymorphism or higher-order constructs
% 1.18/0.48 % (1099381)ott+10_1_to=lpo:sil=64000:tgt=full:sp=arity:spb=goal_then_units:random_seed=200008012:i=1179_2998 on theBenchmark for (2998ds/1179Mi)
% 1.18/0.48 % (1099372) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-1099350-1099372"...
% 1.18/0.48 % (1099372)...printing done.
% 1.18/0.48 % (1099372)Refutation found. Thanks to Tanya!
% 1.18/0.48 % SZS status Theorem for theBenchmark
% 1.18/0.48 % SZS output start Proof for theBenchmark
% See solution above
% 1.18/0.48 % (1099372)------------------------------
% 1.18/0.48 % (1099372)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.18/0.48 % (1099372)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.18/0.48 % (1099372)CaDiCaL version: 2.1.3
% 1.18/0.48 % (1099372)Termination reason: Refutation
% 1.18/0.48 % (1099372)Time elapsed: 0.080 s
% 1.18/0.48 % (1099372)Peak memory usage: 13 MB
% 1.18/0.48 % (1099372)Instructions burned: 58 (million)
% 1.18/0.48 % (1099350)Success in time 0.22 s
% 1.18/0.48 % Vampire exiting
%------------------------------------------------------------------------------