%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : LCL859^1 : 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 08:15:11 AM UTC 2026
% Result : Theorem 0.19s 0.27s
% Output : Refutation 0.19s
% Verified :
% SZS Type : Refutation
% Derivation depth : 31
% Number of leaves : 13
% Syntax : Number of formulae : 133 ( 37 unt; 0 typ; 9 def)
% Number of atoms : 1053 ( 196 equ; 0 cnn)
% Maximal formula atoms : 10 ( 7 avg)
% Number of connectives : 1159 ( 106 ~; 179 |; 60 &; 680 @)
% ( 13 <=>; 45 =>; 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 : 65 ( 61 usr; 18 con; 0-4 aty)
% ( 75 !!; 0 ??; 0 @@+; 0 @@-)
% Number of variables : 174 ( 0 sgn 54 !; 3 ?; 174 :)
% 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(f18,axiom,
( mreflexive
= ( ^ [X0: $i > $i > $o] :
! [X1: $i] : ( X0 @ X1 @ X1 ) ) ),
file('/export/starexec/sandbox/benchmark/Axioms/LCL013^0.ax',mreflexive) ).
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(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 )
& ( mreflexive @ X0 ) )
<=> ( ( meuclidean @ X0 )
& ( msymmetric @ X0 )
& ( mreflexive @ X0 ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',conj) ).
thf(f33,negated_conjecture,
~ ! [X0: $i > $i > $o] :
( ( ( meuclidean @ X0 )
& ( mreflexive @ X0 ) )
<=> ( ( meuclidean @ X0 )
& ( msymmetric @ X0 )
& ( mreflexive @ X0 ) ) ),
inference(negated_conjecture,[status(cth)],[f32]) ).
thf(f57,plain,
( mreflexive
= ( ^ [X0: $i > $i > $o] :
! [X1: $i] : ( X0 @ X1 @ X1 ) ) ),
inference(rectify,[],[f18]) ).
thf(f58,plain,
( mreflexive
= ( ^ [Y0: $i > $i > $o] :
( !! @ $i
@ ^ [Y1: $i] : ( Y0 @ Y1 @ Y1 ) ) ) ),
inference(fool_elimination,[],[f57]) ).
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(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 )
& ( mreflexive @ X0 ) )
<=> ( ( meuclidean @ X0 )
& ( msymmetric @ X0 )
& ( mreflexive @ X0 ) ) ),
inference(rectify,[],[f33]) ).
thf(f86,plain,
~ ! [X0: $i > $i > $o] :
( ( ( ( meuclidean @ X0 )
= $true )
& ( ( mreflexive @ X0 )
= $true ) )
<=> ( ( ( meuclidean @ X0 )
= $true )
& ( ( msymmetric @ X0 )
= $true )
& ( ( mreflexive @ X0 )
= $true ) ) ),
inference(fool_elimination,[],[f85]) ).
thf(f87,plain,
? [X0: $i > $i > $o] :
( ( ( ( meuclidean @ X0 )
= $true )
& ( ( mreflexive @ X0 )
= $true ) )
<~> ( ( ( meuclidean @ X0 )
= $true )
& ( ( msymmetric @ X0 )
= $true )
& ( ( mreflexive @ X0 )
= $true ) ) ),
inference(ennf_transformation,[],[f86]) ).
thf(f88,plain,
? [X0: $i > $i > $o] :
( ( ( ( meuclidean @ X0 )
!= $true )
| ( ( msymmetric @ X0 )
!= $true )
| ( ( mreflexive @ X0 )
!= $true )
| ( ( meuclidean @ X0 )
!= $true )
| ( ( mreflexive @ X0 )
!= $true ) )
& ( ( ( ( meuclidean @ X0 )
= $true )
& ( ( msymmetric @ X0 )
= $true )
& ( ( mreflexive @ X0 )
= $true ) )
| ( ( ( meuclidean @ X0 )
= $true )
& ( ( mreflexive @ X0 )
= $true ) ) ) ),
inference(nnf_transformation,[],[f87]) ).
thf(f89,plain,
? [X0: $i > $i > $o] :
( ( ( ( meuclidean @ X0 )
!= $true )
| ( ( msymmetric @ X0 )
!= $true )
| ( ( mreflexive @ X0 )
!= $true )
| ( ( meuclidean @ X0 )
!= $true )
| ( ( mreflexive @ X0 )
!= $true ) )
& ( ( ( ( meuclidean @ X0 )
= $true )
& ( ( msymmetric @ X0 )
= $true )
& ( ( mreflexive @ X0 )
= $true ) )
| ( ( ( meuclidean @ X0 )
= $true )
& ( ( mreflexive @ X0 )
= $true ) ) ) ),
inference(flattening,[],[f88]) ).
thf(f90,plain,
( ( ( $true
!= ( meuclidean @ sK0 ) )
| ( $true
!= ( msymmetric @ sK0 ) )
| ( $true
!= ( mreflexive @ sK0 ) )
| ( $true
!= ( meuclidean @ sK0 ) )
| ( $true
!= ( mreflexive @ sK0 ) ) )
& ( ( ( $true
= ( meuclidean @ sK0 ) )
& ( $true
= ( msymmetric @ sK0 ) )
& ( $true
= ( mreflexive @ sK0 ) ) )
| ( ( $true
= ( meuclidean @ sK0 ) )
& ( $true
= ( mreflexive @ sK0 ) ) ) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK0]),skolemize(X0,sK0)],[f89]) ).
thf(f108,plain,
( mreflexive
= ( ^ [Y0: $i > $i > $o] :
( !! @ $i
@ ^ [Y1: $i] : ( Y0 @ Y1 @ Y1 ) ) ) ),
inference(cnf_transformation,[],[f58]) ).
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(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(f122,plain,
( ( $true
= ( mreflexive @ sK0 ) )
| ( $true
= ( mreflexive @ 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
!= ( mreflexive @ sK0 ) )
| ( $true
!= ( meuclidean @ sK0 ) )
| ( $true
!= ( mreflexive @ 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] : ( Y0 @ Y1 @ 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] : ( Y0 @ Y1 @ Y1 ) )
@ sK0 ) ) ),
inference(definition_unfolding,[],[f128,f112,f109,f108,f112,f108]) ).
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(f146,plain,
( ( $true
= ( ^ [Y0: $i > $i > $o] :
( !! @ $i
@ ^ [Y1: $i] : ( Y0 @ Y1 @ Y1 ) )
@ sK0 ) )
| ( $true
= ( ^ [Y0: $i > $i > $o] :
( !! @ $i
@ ^ [Y1: $i] : ( Y0 @ Y1 @ Y1 ) )
@ sK0 ) ) ),
inference(definition_unfolding,[],[f122,f108,f108]) ).
thf(f147,plain,
( $true
= ( ^ [Y0: $i > $i > $o] :
( !! @ $i
@ ^ [Y1: $i] : ( Y0 @ Y1 @ Y1 ) )
@ sK0 ) ),
inference(duplicate_literal_removal,[],[f146]) ).
thf(f148,plain,
( $true
= ( !! @ $i
@ ^ [Y0: $i] : ( sK0 @ Y0 @ Y0 ) ) ),
inference(beta-eta_normalization,[],[f147]) ).
thf(f149,plain,
! [X1: $i] :
( $true
= ( ^ [Y0: $i] : ( sK0 @ Y0 @ Y0 )
@ X1 ) ),
inference(pi_proxy_clausification,[],[f148]) ).
thf(f150,plain,
! [X1: $i] :
( $true
= ( sK0 @ X1 @ X1 ) ),
inference(beta-eta_normalization,[],[f149]) ).
thf(f190,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(f191,plain,
( $true
= ( !! @ $i
@ ^ [Y0: $i] :
( !! @ $i
@ ^ [Y1: $i] :
( !! @ $i
@ ^ [Y2: $i] :
( ( ( sK0 @ Y2 @ Y1 )
& ( sK0 @ Y2 @ Y0 ) )
=> ( sK0 @ Y1 @ Y0 ) ) ) ) ) ),
inference(beta-eta_normalization,[],[f190]) ).
thf(f192,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,[],[f191]) ).
thf(f193,plain,
! [X1: $i] :
( $true
= ( !! @ $i
@ ^ [Y0: $i] :
( !! @ $i
@ ^ [Y1: $i] :
( ( ( sK0 @ Y1 @ Y0 )
& ( sK0 @ Y1 @ X1 ) )
=> ( sK0 @ Y0 @ X1 ) ) ) ) ),
inference(beta-eta_normalization,[],[f192]) ).
thf(f194,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,[],[f193]) ).
thf(f195,plain,
! [X2: $i,X1: $i] :
( $true
= ( !! @ $i
@ ^ [Y0: $i] :
( ( ( sK0 @ Y0 @ X2 )
& ( sK0 @ Y0 @ X1 ) )
=> ( sK0 @ X2 @ X1 ) ) ) ),
inference(beta-eta_normalization,[],[f194]) ).
thf(f196,plain,
! [X2: $i,X3: $i,X1: $i] :
( $true
= ( ^ [Y0: $i] :
( ( ( sK0 @ Y0 @ X2 )
& ( sK0 @ Y0 @ X1 ) )
=> ( sK0 @ X2 @ X1 ) )
@ X3 ) ),
inference(pi_proxy_clausification,[],[f195]) ).
thf(f197,plain,
! [X2: $i,X3: $i,X1: $i] :
( $true
= ( ( ( sK0 @ X3 @ X2 )
& ( sK0 @ X3 @ X1 ) )
=> ( sK0 @ X2 @ X1 ) ) ),
inference(beta-eta_normalization,[],[f196]) ).
thf(f198,plain,
! [X2: $i,X3: $i,X1: $i] :
( ( $false
= ( ( sK0 @ X3 @ X2 )
& ( sK0 @ X3 @ X1 ) ) )
| ( $true
= ( sK0 @ X2 @ X1 ) ) ),
inference(imp_proxy_clausification,[],[f197]) ).
thf(f199,plain,
! [X2: $i,X3: $i,X1: $i] :
( ( $false
= ( sK0 @ X3 @ X1 ) )
| ( $true
= ( sK0 @ X2 @ X1 ) )
| ( $false
= ( sK0 @ X3 @ X2 ) ) ),
inference(and_proxy_clausification,[],[f198]) ).
thf(f200,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] : ( Y0 @ Y1 @ Y1 ) )
@ sK0 ) ) ),
inference(duplicate_literal_removal,[],[f140]) ).
thf(f201,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] : ( sK0 @ Y0 @ Y0 ) ) ) ),
inference(beta-eta_normalization,[],[f200]) ).
thf(f202,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] : ( sK0 @ Y0 @ Y0 ) ) ) ),
inference(sigma_proxy_clausification,[],[f201]) ).
thf(f203,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] : ( sK0 @ Y0 @ Y0 ) ) ) ),
inference(sigma_proxy_clausification,[],[f202]) ).
thf(f204,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] : ( sK0 @ Y0 @ Y0 )
@ sK3 ) ) ),
inference(sigma_proxy_clausification,[],[f203]) ).
thf(f205,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
= ( sK0 @ sK3 @ sK3 ) ) ),
inference(beta-eta_normalization,[],[f204]) ).
thf(f206,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
= ( sK0 @ sK3 @ sK3 ) ) ),
inference(sigma_proxy_clausification,[],[f205]) ).
thf(f207,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
= ( sK0 @ sK3 @ sK3 ) ) ),
inference(sigma_proxy_clausification,[],[f206]) ).
thf(f208,plain,
( ( $false
= ( !! @ $i
@ ^ [Y0: $i] :
( ( ( sK0 @ Y0 @ sK4 )
& ( sK0 @ Y0 @ sK1 ) )
=> ( sK0 @ sK4 @ sK1 ) ) ) )
| ( $false
= ( ( sK0 @ sK5 @ sK2 )
=> ( sK0 @ sK2 @ sK5 ) ) )
| ( $false
= ( sK0 @ sK3 @ sK3 ) ) ),
inference(beta-eta_normalization,[],[f207]) ).
thf(f209,plain,
( ( $false
= ( ^ [Y0: $i] :
( ( ( sK0 @ Y0 @ sK4 )
& ( sK0 @ Y0 @ sK1 ) )
=> ( sK0 @ sK4 @ sK1 ) )
@ sK6 ) )
| ( $false
= ( ( sK0 @ sK5 @ sK2 )
=> ( sK0 @ sK2 @ sK5 ) ) )
| ( $false
= ( sK0 @ sK3 @ sK3 ) ) ),
inference(sigma_proxy_clausification,[],[f208]) ).
thf(f210,plain,
( ( $false
= ( ^ [Y0: $i] :
( ( ( sK0 @ Y0 @ sK4 )
& ( sK0 @ Y0 @ sK1 ) )
=> ( sK0 @ sK4 @ sK1 ) )
@ sK6 ) )
| ( $false
= ( sK0 @ sK2 @ sK5 ) )
| ( $false
= ( sK0 @ sK3 @ sK3 ) ) ),
inference(imp_proxy_clausification,[],[f209]) ).
thf(f211,plain,
( ( $false
= ( ^ [Y0: $i] :
( ( ( sK0 @ Y0 @ sK4 )
& ( sK0 @ Y0 @ sK1 ) )
=> ( sK0 @ sK4 @ sK1 ) )
@ sK6 ) )
| ( $true
= ( sK0 @ sK5 @ sK2 ) )
| ( $false
= ( sK0 @ sK3 @ sK3 ) ) ),
inference(imp_proxy_clausification,[],[f209]) ).
thf(f212,plain,
( ( $false
= ( ( ( sK0 @ sK6 @ sK4 )
& ( sK0 @ sK6 @ sK1 ) )
=> ( sK0 @ sK4 @ sK1 ) ) )
| ( $true
= ( sK0 @ sK5 @ sK2 ) )
| ( $false
= ( sK0 @ sK3 @ sK3 ) ) ),
inference(beta-eta_normalization,[],[f211]) ).
thf(f213,plain,
( ( $false
= ( sK0 @ sK4 @ sK1 ) )
| ( $true
= ( sK0 @ sK5 @ sK2 ) )
| ( $false
= ( sK0 @ sK3 @ sK3 ) ) ),
inference(imp_proxy_clausification,[],[f212]) ).
thf(f214,plain,
( ( $true
= ( ( sK0 @ sK6 @ sK4 )
& ( sK0 @ sK6 @ sK1 ) ) )
| ( $true
= ( sK0 @ sK5 @ sK2 ) )
| ( $false
= ( sK0 @ sK3 @ sK3 ) ) ),
inference(imp_proxy_clausification,[],[f212]) ).
thf(f215,plain,
( ( $true
= ( sK0 @ sK6 @ sK1 ) )
| ( $true
= ( sK0 @ sK5 @ sK2 ) )
| ( $false
= ( sK0 @ sK3 @ sK3 ) ) ),
inference(and_proxy_clausification,[],[f214]) ).
thf(f216,plain,
( ( $true
= ( sK0 @ sK6 @ sK4 ) )
| ( $true
= ( sK0 @ sK5 @ sK2 ) )
| ( $false
= ( sK0 @ sK3 @ sK3 ) ) ),
inference(and_proxy_clausification,[],[f214]) ).
thf(f217,plain,
( ( $false
= ( ( ( sK0 @ sK6 @ sK4 )
& ( sK0 @ sK6 @ sK1 ) )
=> ( sK0 @ sK4 @ sK1 ) ) )
| ( $false
= ( sK0 @ sK2 @ sK5 ) )
| ( $false
= ( sK0 @ sK3 @ sK3 ) ) ),
inference(beta-eta_normalization,[],[f210]) ).
thf(f218,plain,
( ( $false
= ( sK0 @ sK4 @ sK1 ) )
| ( $false
= ( sK0 @ sK2 @ sK5 ) )
| ( $false
= ( sK0 @ sK3 @ sK3 ) ) ),
inference(imp_proxy_clausification,[],[f217]) ).
thf(f219,plain,
( ( $true
= ( ( sK0 @ sK6 @ sK4 )
& ( sK0 @ sK6 @ sK1 ) ) )
| ( $false
= ( sK0 @ sK2 @ sK5 ) )
| ( $false
= ( sK0 @ sK3 @ sK3 ) ) ),
inference(imp_proxy_clausification,[],[f217]) ).
thf(f220,plain,
( ( $true
= ( sK0 @ sK6 @ sK1 ) )
| ( $false
= ( sK0 @ sK2 @ sK5 ) )
| ( $false
= ( sK0 @ sK3 @ sK3 ) ) ),
inference(and_proxy_clausification,[],[f219]) ).
thf(f221,plain,
( ( $true
= ( sK0 @ sK6 @ sK4 ) )
| ( $false
= ( sK0 @ sK2 @ sK5 ) )
| ( $false
= ( sK0 @ sK3 @ sK3 ) ) ),
inference(and_proxy_clausification,[],[f219]) ).
thf(f223,definition,
( spl7_1
<=> ! [X2: $i,X3: $i,X4: $i] :
( ( $false
= ( sK0 @ X4 @ X2 ) )
| ( $false
= ( sK0 @ X4 @ X3 ) )
| ( $true
= ( sK0 @ X3 @ X2 ) ) ) ),
introduced(definition,[new_symbols(definition,[spl7_1])],[avatar_definition]) ).
thf(f224,plain,
( ! [X2: $i,X3: $i,X4: $i] :
( ( $false
= ( sK0 @ X4 @ X2 ) )
| ( $false
= ( sK0 @ X4 @ X3 ) )
| ( $true
= ( sK0 @ X3 @ X2 ) ) )
| ~ spl7_1 ),
inference(avatar_component_clause,[],[f223]) ).
thf(f226,definition,
( spl7_2
<=> ! [X1: $i] :
( $true
= ( sK0 @ X1 @ X1 ) ) ),
introduced(definition,[new_symbols(definition,[spl7_2])],[avatar_definition]) ).
thf(f227,plain,
( ! [X1: $i] :
( $true
= ( sK0 @ X1 @ X1 ) )
| ~ spl7_2 ),
inference(avatar_component_clause,[],[f226]) ).
thf(f230,definition,
( spl7_3
<=> ! [X1: $i,X3: $i] :
( ( $false
= ( sK0 @ X3 @ X1 ) )
| ( $true
= ( sK0 @ X1 @ X3 ) ) ) ),
introduced(definition,[new_symbols(definition,[spl7_3])],[avatar_definition]) ).
thf(f231,plain,
( ! [X3: $i,X1: $i] :
( ( $false
= ( sK0 @ X3 @ X1 ) )
| ( $true
= ( sK0 @ X1 @ X3 ) ) )
| ~ spl7_3 ),
inference(avatar_component_clause,[],[f230]) ).
thf(f235,plain,
spl7_1,
inference(avatar_split_clause,[],[f199,f223]) ).
thf(f237,definition,
( spl7_4
<=> ( $false
= ( sK0 @ sK3 @ sK3 ) ) ),
introduced(definition,[new_symbols(definition,[spl7_4])],[avatar_definition]) ).
thf(f239,plain,
( ( $false
= ( sK0 @ sK3 @ sK3 ) )
| ~ spl7_4 ),
inference(avatar_component_clause,[],[f237]) ).
thf(f241,definition,
( spl7_5
<=> ( $true
= ( sK0 @ sK5 @ sK2 ) ) ),
introduced(definition,[new_symbols(definition,[spl7_5])],[avatar_definition]) ).
thf(f243,plain,
( ( $true
= ( sK0 @ sK5 @ sK2 ) )
| ~ spl7_5 ),
inference(avatar_component_clause,[],[f241]) ).
thf(f245,definition,
( spl7_6
<=> ( $true
= ( sK0 @ sK6 @ sK4 ) ) ),
introduced(definition,[new_symbols(definition,[spl7_6])],[avatar_definition]) ).
thf(f247,plain,
( ( $true
= ( sK0 @ sK6 @ sK4 ) )
| ~ spl7_6 ),
inference(avatar_component_clause,[],[f245]) ).
thf(f248,plain,
( spl7_4
| spl7_5
| spl7_6 ),
inference(avatar_split_clause,[],[f216,f245,f241,f237]) ).
thf(f250,definition,
( spl7_7
<=> ( $true
= ( sK0 @ sK6 @ sK1 ) ) ),
introduced(definition,[new_symbols(definition,[spl7_7])],[avatar_definition]) ).
thf(f252,plain,
( ( $true
= ( sK0 @ sK6 @ sK1 ) )
| ~ spl7_7 ),
inference(avatar_component_clause,[],[f250]) ).
thf(f253,plain,
( spl7_4
| spl7_5
| spl7_7 ),
inference(avatar_split_clause,[],[f215,f250,f241,f237]) ).
thf(f255,definition,
( spl7_8
<=> ( $false
= ( sK0 @ sK4 @ sK1 ) ) ),
introduced(definition,[new_symbols(definition,[spl7_8])],[avatar_definition]) ).
thf(f257,plain,
( ( $false
= ( sK0 @ sK4 @ sK1 ) )
| ~ spl7_8 ),
inference(avatar_component_clause,[],[f255]) ).
thf(f258,plain,
( spl7_4
| spl7_5
| spl7_8 ),
inference(avatar_split_clause,[],[f213,f255,f241,f237]) ).
thf(f260,definition,
( spl7_9
<=> ( $false
= ( sK0 @ sK2 @ sK5 ) ) ),
introduced(definition,[new_symbols(definition,[spl7_9])],[avatar_definition]) ).
thf(f262,plain,
( ( $false
= ( sK0 @ sK2 @ sK5 ) )
| ~ spl7_9 ),
inference(avatar_component_clause,[],[f260]) ).
thf(f263,plain,
( spl7_4
| spl7_9
| spl7_6 ),
inference(avatar_split_clause,[],[f221,f245,f260,f237]) ).
thf(f264,plain,
( spl7_4
| spl7_9
| spl7_7 ),
inference(avatar_split_clause,[],[f220,f250,f260,f237]) ).
thf(f265,plain,
( spl7_4
| spl7_9
| spl7_8 ),
inference(avatar_split_clause,[],[f218,f255,f260,f237]) ).
thf(f266,plain,
spl7_2,
inference(avatar_split_clause,[],[f150,f226]) ).
thf(f267,plain,
( ( $true = $false )
| ~ spl7_2
| ~ spl7_4 ),
inference(forward_demodulation,[],[f239,f227]) ).
thf(f268,plain,
( $false
| ~ spl7_2
| ~ spl7_4 ),
inference(trivial_inequality_removal,[],[f267]) ).
thf(f269,plain,
( ~ spl7_2
| ~ spl7_4 ),
inference(avatar_contradiction_clause,[],[f268]) ).
thf(f278,plain,
( ( $true = $false )
| ( $true
= ( sK0 @ sK2 @ sK5 ) )
| ~ spl7_3
| ~ spl7_5 ),
inference(constrained_superposition,[],[f231,f243]) ).
thf(f279,plain,
( ( $true
= ( sK0 @ sK2 @ sK5 ) )
| ~ spl7_3
| ~ spl7_5 ),
inference(trivial_inequality_removal,[],[f278]) ).
thf(f292,plain,
( ! [X0: $i,X1: $i] :
( ( $true = $false )
| ( $false
= ( sK0 @ X0 @ X1 ) )
| ( $true
= ( sK0 @ X1 @ X0 ) ) )
| ~ spl7_1
| ~ spl7_2 ),
inference(constrained_superposition,[],[f227,f224]) ).
thf(f312,plain,
( ! [X0: $i,X1: $i] :
( ( $false
= ( sK0 @ X0 @ X1 ) )
| ( $true
= ( sK0 @ X1 @ X0 ) ) )
| ~ spl7_1
| ~ spl7_2 ),
inference(trivial_inequality_removal,[],[f292]) ).
thf(f343,plain,
( ( $true = $false )
| ~ spl7_3
| ~ spl7_5
| ~ spl7_9 ),
inference(forward_demodulation,[],[f279,f262]) ).
thf(f344,plain,
( $false
| ~ spl7_3
| ~ spl7_5
| ~ spl7_9 ),
inference(trivial_inequality_removal,[],[f343]) ).
thf(f345,plain,
( ~ spl7_3
| ~ spl7_5
| ~ spl7_9 ),
inference(avatar_contradiction_clause,[],[f344]) ).
thf(f349,plain,
( ! [X0: $i] :
( ( $true = $false )
| ( $false
= ( sK0 @ X0 @ sK1 ) )
| ( $false
= ( sK0 @ X0 @ sK4 ) ) )
| ~ spl7_1
| ~ spl7_8 ),
inference(constrained_superposition,[],[f224,f257]) ).
thf(f352,plain,
( ! [X0: $i] :
( ( $false
= ( sK0 @ X0 @ sK4 ) )
| ( $false
= ( sK0 @ X0 @ sK1 ) ) )
| ~ spl7_1
| ~ spl7_8 ),
inference(trivial_inequality_removal,[],[f349]) ).
thf(f995,plain,
( ( $true = $false )
| ( $false
= ( sK0 @ sK6 @ sK1 ) )
| ~ spl7_1
| ~ spl7_6
| ~ spl7_8 ),
inference(constrained_superposition,[],[f247,f352]) ).
thf(f996,plain,
( ( $false
= ( sK0 @ sK6 @ sK1 ) )
| ~ spl7_1
| ~ spl7_6
| ~ spl7_8 ),
inference(trivial_inequality_removal,[],[f995]) ).
thf(f1019,plain,
( ( $true = $false )
| ~ spl7_1
| ~ spl7_6
| ~ spl7_7
| ~ spl7_8 ),
inference(constrained_superposition,[],[f996,f252]) ).
thf(f1037,plain,
( $false
| ~ spl7_1
| ~ spl7_6
| ~ spl7_7
| ~ spl7_8 ),
inference(trivial_inequality_removal,[],[f1019]) ).
thf(f1038,plain,
( ~ spl7_1
| ~ spl7_6
| ~ spl7_7
| ~ spl7_8 ),
inference(avatar_contradiction_clause,[],[f1037]) ).
thf(f1049,plain,
( spl7_3
| ~ spl7_1
| ~ spl7_2 ),
inference(avatar_split_clause,[],[f312,f226,f223,f230]) ).
cnf(s5,plain,
spl7_1,
inference(sat_conversion,[],[f235]) ).
cnf(s6,plain,
( spl7_4
| spl7_5
| spl7_6 ),
inference(sat_conversion,[],[f248]) ).
cnf(s7,plain,
( spl7_4
| spl7_5
| spl7_7 ),
inference(sat_conversion,[],[f253]) ).
cnf(s8,plain,
( spl7_4
| spl7_5
| spl7_8 ),
inference(sat_conversion,[],[f258]) ).
cnf(s9,plain,
( spl7_4
| spl7_6
| spl7_9 ),
inference(sat_conversion,[],[f263]) ).
cnf(s10,plain,
( spl7_4
| spl7_7
| spl7_9 ),
inference(sat_conversion,[],[f264]) ).
cnf(s11,plain,
( spl7_4
| spl7_8
| spl7_9 ),
inference(sat_conversion,[],[f265]) ).
cnf(s12,plain,
spl7_2,
inference(sat_conversion,[],[f266]) ).
cnf(s13,plain,
( ~ spl7_2
| ~ spl7_4 ),
inference(sat_conversion,[],[f269]) ).
cnf(s14,plain,
( ~ spl7_3
| ~ spl7_5
| ~ spl7_9 ),
inference(sat_conversion,[],[f345]) ).
cnf(s16,plain,
( ~ spl7_1
| ~ spl7_6
| ~ spl7_7
| ~ spl7_8 ),
inference(sat_conversion,[],[f1038]) ).
cnf(s17,plain,
( ~ spl7_1
| ~ spl7_2
| spl7_3 ),
inference(sat_conversion,[],[f1049]) ).
cnf(s19,plain,
~ spl7_4,
inference(rat,[],[s13,s12]) ).
cnf(s20,plain,
( spl7_8
| spl7_9 ),
inference(rat,[],[s11,s19]) ).
cnf(s21,plain,
( spl7_7
| spl7_9 ),
inference(rat,[],[s10,s19]) ).
cnf(s22,plain,
( spl7_6
| spl7_9 ),
inference(rat,[],[s9,s19]) ).
cnf(s23,plain,
( spl7_5
| spl7_8 ),
inference(rat,[],[s8,s19]) ).
cnf(s24,plain,
( spl7_5
| spl7_7 ),
inference(rat,[],[s7,s19]) ).
cnf(s25,plain,
( spl7_5
| spl7_6 ),
inference(rat,[],[s6,s19]) ).
cnf(s26,plain,
spl7_3,
inference(rat,[],[s17,s12,s5]) ).
cnf(s27,plain,
spl7_5,
inference(rat,[],[s16,s25,s24,s23,s5]) ).
cnf(s28,plain,
~ spl7_9,
inference(rat,[],[s14,s26,s27]) ).
cnf(s29,plain,
spl7_8,
inference(rat,[],[s20,s28]) ).
cnf(s30,plain,
spl7_7,
inference(rat,[],[s21,s28]) ).
cnf(s31,plain,
spl7_6,
inference(rat,[],[s22,s28]) ).
cnf(s32,plain,
$false,
inference(rat,[],[s16,s29,s5,s30,s31]) ).
thf(f1050,plain,
$false,
inference(avatar_sat_refutation,[],[s32]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : LCL859^1 : TPTP v9.3.1. Bugfixed v5.0.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.07/0.18 % Computer : n002.cluster.edu
% 0.07/0.18 % Model : x86_64 x86_64
% 0.07/0.18 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.07/0.18 % Memory : 8046.5625MB
% 0.07/0.18 % OS : Linux 6.8.0-71-generic
% 0.07/0.18 % CPULimit : 300
% 0.07/0.18 % WCLimit : 300
% 0.07/0.18 % DateTime : Tue Sep 29 10:14:39 UTC 2026
% 0.07/0.18 % CPUTime :
% 0.07/0.18 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.07/0.21 Running first-order model finding
% 0.07/0.21 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
% 0.19/0.27 % (1088240)Will run a generic schedule for satisfiability detection.
% 0.19/0.27 % (1088248)dis+10_1_sil=32000:sp=arity:random_seed=818522691:i=103:fgj=on_2999 on theBenchmark for (2999ds/103Mi)
% 0.19/0.27 % (1088246)% WARNING: option uhcvi not known.
% 0.19/0.27 % (1088245)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=2785487566_2999 on theBenchmark for (2999ds/0Mi)
% 0.19/0.27 % (1088246)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=2885886908:i=135531:add=off:rawr=on_2999 on theBenchmark for (2999ds/135531Mi)
% 0.19/0.27 % (1088247)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=3153475841:i=88024:add=on:rawr=on_2999 on theBenchmark for (2999ds/88024Mi)
% 0.19/0.27 % (1088250)ott+1_1_to=lpo:sil=16000:sp=reverse_arity:erd=off:random_seed=1014739411:i=131_2999 on theBenchmark for (2999ds/131Mi)
% 0.19/0.27 % (1088249)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=180765924:i=116_2999 on theBenchmark for (2999ds/116Mi)
% 0.19/0.27 % (1088251)ott-3_16_to=lpo:sil=16000:sp=arity:fd=off:rp=on:random_seed=3672144279:i=159:bs=unit_only:nicw=on:fsr=off:amm=off_2999 on theBenchmark for (2999ds/159Mi)
% 0.19/0.27 % (1088246)WARNING: Not using 'newcnf' as currently not compatible with higher-order inputs.
% 0.19/0.27 % (1088249)WARNING: Not using 'newcnf' as currently not compatible with higher-order inputs.
% 0.19/0.27 % Exception at run slice level
% 0.19/0.27 User error: Finite model building is currently not compatible with polymorphism or higher-order constructs
% 0.19/0.27 % (1088246)WARNING: Look ahead literal selection is not currently compatible with higher-order. Ignoring request to use
% 0.19/0.27 % (1088248) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-1088240-1088248"...
% 0.19/0.27 % (1088248)...printing done.
% 0.19/0.27 % (1088248)Refutation found. Thanks to Tanya!
% 0.19/0.27 % SZS status Theorem for theBenchmark
% 0.19/0.27 % SZS output start Proof for theBenchmark
% See solution above
% 0.19/0.28 % (1088248)------------------------------
% 0.19/0.28 % (1088248)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.19/0.28 % (1088248)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.19/0.28 % (1088248)CaDiCaL version: 2.1.3
% 0.19/0.28 % (1088248)Termination reason: Refutation
% 0.19/0.28 % (1088248)Time elapsed: 0.018 s
% 0.19/0.28 % (1088248)Peak memory usage: 13 MB
% 0.19/0.28 % (1088248)Instructions burned: 70 (million)
% 0.19/0.28 % (1088240)Success in time 0.05 s
% 0.19/0.28 % Vampire exiting
%------------------------------------------------------------------------------