%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : LCL868^1 : TPTP v9.3.1. Bugfixed v5.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% Computer : n006.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 0.20s 0.34s
% Output : Refutation 0.20s
% Verified :
% SZS Type : Refutation
% Derivation depth : 34
% Number of leaves : 12
% Syntax : Number of formulae : 142 ( 40 unt; 0 typ; 7 def)
% Number of atoms : 1088 ( 186 equ; 0 cnn)
% Maximal formula atoms : 5 ( 7 avg)
% Number of connectives : 1172 ( 74 ~; 169 |; 69 &; 720 @)
% ( 7 <=>; 50 =>; 0 <=; 0 <~>)
% Maximal formula depth : 7 ( 3 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of types : 3 ( 1 usr)
% Number of type conns : 54 ( 54 >; 0 *; 0 +; 0 <<)
% Number of symbols : 65 ( 60 usr; 18 con; 0-4 aty)
% ( 73 !!; 10 ??; 0 @@+; 0 @@-)
% Number of variables : 190 ( 0 sgn 71 !; 4 ?; 190 :)
% 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/sandbox2/benchmark/Axioms/LCL013^0.ax',mreflexive) ).
thf(f20,axiom,
( mserial
= ( ^ [X0: $i > $i > $o] :
! [X1: $i] :
? [X2: $i] : ( X0 @ X1 @ X2 ) ) ),
file('/export/starexec/sandbox2/benchmark/Axioms/LCL013^0.ax',mserial) ).
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/sandbox2/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/sandbox2/benchmark/Axioms/LCL013^0.ax',meuclidean) ).
thf(f32,conjecture,
! [X0: $i > $i > $o] :
( ( ( meuclidean @ X0 )
& ( mreflexive @ X0 ) )
=> ( ( meuclidean @ X0 )
& ( mtransitive @ X0 )
& ( mserial @ X0 ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',conj) ).
thf(f33,negated_conjecture,
~ ! [X0: $i > $i > $o] :
( ( ( meuclidean @ X0 )
& ( mreflexive @ X0 ) )
=> ( ( meuclidean @ X0 )
& ( mtransitive @ X0 )
& ( mserial @ 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(f61,plain,
( mserial
= ( ^ [X0: $i > $i > $o] :
! [X1: $i] :
? [X2: $i] : ( X0 @ X1 @ X2 ) ) ),
inference(rectify,[],[f20]) ).
thf(f62,plain,
( mserial
= ( ^ [Y0: $i > $i > $o] :
( !! @ $i
@ ^ [Y1: $i] :
( ?? @ $i
@ ^ [Y2: $i] : ( Y0 @ Y1 @ Y2 ) ) ) ) ),
inference(fool_elimination,[],[f61]) ).
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 )
& ( mreflexive @ X0 ) )
=> ( ( meuclidean @ X0 )
& ( mtransitive @ X0 )
& ( mserial @ X0 ) ) ),
inference(rectify,[],[f33]) ).
thf(f86,plain,
~ ! [X0: $i > $i > $o] :
( ( ( ( meuclidean @ X0 )
= $true )
& ( ( mreflexive @ X0 )
= $true ) )
=> ( ( ( meuclidean @ X0 )
= $true )
& ( ( mtransitive @ X0 )
= $true )
& ( ( mserial @ X0 )
= $true ) ) ),
inference(fool_elimination,[],[f85]) ).
thf(f87,plain,
? [X0: $i > $i > $o] :
( ( ( ( meuclidean @ X0 )
!= $true )
| ( ( mtransitive @ X0 )
!= $true )
| ( ( mserial @ X0 )
!= $true ) )
& ( ( meuclidean @ X0 )
= $true )
& ( ( mreflexive @ X0 )
= $true ) ),
inference(ennf_transformation,[],[f86]) ).
thf(f88,plain,
? [X0: $i > $i > $o] :
( ( ( ( meuclidean @ X0 )
!= $true )
| ( ( mtransitive @ X0 )
!= $true )
| ( ( mserial @ X0 )
!= $true ) )
& ( ( meuclidean @ X0 )
= $true )
& ( ( mreflexive @ X0 )
= $true ) ),
inference(flattening,[],[f87]) ).
thf(f89,plain,
( ( ( $true
!= ( meuclidean @ sK0 ) )
| ( $true
!= ( mtransitive @ sK0 ) )
| ( $true
!= ( mserial @ sK0 ) ) )
& ( $true
= ( meuclidean @ sK0 ) )
& ( $true
= ( mreflexive @ sK0 ) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK0]),skolemize(X0,sK0)],[f88]) ).
thf(f107,plain,
( mreflexive
= ( ^ [Y0: $i > $i > $o] :
( !! @ $i
@ ^ [Y1: $i] : ( Y0 @ Y1 @ Y1 ) ) ) ),
inference(cnf_transformation,[],[f58]) ).
thf(f109,plain,
( mserial
= ( ^ [Y0: $i > $i > $o] :
( !! @ $i
@ ^ [Y1: $i] :
( ?? @ $i
@ ^ [Y2: $i] : ( Y0 @ Y1 @ Y2 ) ) ) ) ),
inference(cnf_transformation,[],[f62]) ).
thf(f110,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(f111,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(f121,plain,
( $true
= ( mreflexive @ sK0 ) ),
inference(cnf_transformation,[],[f89]) ).
thf(f122,plain,
( $true
= ( meuclidean @ sK0 ) ),
inference(cnf_transformation,[],[f89]) ).
thf(f123,plain,
( ( $true
!= ( meuclidean @ sK0 ) )
| ( $true
!= ( mtransitive @ sK0 ) )
| ( $true
!= ( mserial @ sK0 ) ) ),
inference(cnf_transformation,[],[f89]) ).
thf(f135,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 @ Y2 @ Y1 ) )
=> ( Y0 @ Y3 @ Y1 ) ) ) ) )
@ sK0 ) )
| ( $true
!= ( ^ [Y0: $i > $i > $o] :
( !! @ $i
@ ^ [Y1: $i] :
( ?? @ $i
@ ^ [Y2: $i] : ( Y0 @ Y1 @ Y2 ) ) )
@ sK0 ) ) ),
inference(definition_unfolding,[],[f123,f111,f110,f109]) ).
thf(f136,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(definition_unfolding,[],[f122,f111]) ).
thf(f137,plain,
( $true
= ( ^ [Y0: $i > $i > $o] :
( !! @ $i
@ ^ [Y1: $i] : ( Y0 @ Y1 @ Y1 ) )
@ sK0 ) ),
inference(definition_unfolding,[],[f121,f107]) ).
thf(f138,plain,
( $true
= ( !! @ $i
@ ^ [Y0: $i] : ( sK0 @ Y0 @ Y0 ) ) ),
inference(beta-eta_normalization,[],[f137]) ).
thf(f139,plain,
! [X1: $i] :
( $true
= ( ^ [Y0: $i] : ( sK0 @ Y0 @ Y0 )
@ X1 ) ),
inference(pi_proxy_clausification,[],[f138]) ).
thf(f140,plain,
! [X1: $i] :
( $true
= ( sK0 @ X1 @ X1 ) ),
inference(beta-eta_normalization,[],[f139]) ).
thf(f141,plain,
( $true
= ( !! @ $i
@ ^ [Y0: $i] :
( !! @ $i
@ ^ [Y1: $i] :
( !! @ $i
@ ^ [Y2: $i] :
( ( ( sK0 @ Y2 @ Y1 )
& ( sK0 @ Y2 @ Y0 ) )
=> ( sK0 @ Y1 @ Y0 ) ) ) ) ) ),
inference(beta-eta_normalization,[],[f136]) ).
thf(f142,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,[],[f141]) ).
thf(f143,plain,
! [X1: $i] :
( $true
= ( !! @ $i
@ ^ [Y0: $i] :
( !! @ $i
@ ^ [Y1: $i] :
( ( ( sK0 @ Y1 @ Y0 )
& ( sK0 @ Y1 @ X1 ) )
=> ( sK0 @ Y0 @ X1 ) ) ) ) ),
inference(beta-eta_normalization,[],[f142]) ).
thf(f144,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,[],[f143]) ).
thf(f145,plain,
! [X2: $i,X1: $i] :
( $true
= ( !! @ $i
@ ^ [Y0: $i] :
( ( ( sK0 @ Y0 @ X2 )
& ( sK0 @ Y0 @ X1 ) )
=> ( sK0 @ X2 @ X1 ) ) ) ),
inference(beta-eta_normalization,[],[f144]) ).
thf(f146,plain,
! [X2: $i,X3: $i,X1: $i] :
( $true
= ( ^ [Y0: $i] :
( ( ( sK0 @ Y0 @ X2 )
& ( sK0 @ Y0 @ X1 ) )
=> ( sK0 @ X2 @ X1 ) )
@ X3 ) ),
inference(pi_proxy_clausification,[],[f145]) ).
thf(f147,plain,
! [X2: $i,X3: $i,X1: $i] :
( $true
= ( ( ( sK0 @ X3 @ X2 )
& ( sK0 @ X3 @ X1 ) )
=> ( sK0 @ X2 @ X1 ) ) ),
inference(beta-eta_normalization,[],[f146]) ).
thf(f148,plain,
! [X2: $i,X3: $i,X1: $i] :
( ( $false
= ( ( sK0 @ X3 @ X2 )
& ( sK0 @ X3 @ X1 ) ) )
| ( $true
= ( sK0 @ X2 @ X1 ) ) ),
inference(imp_proxy_clausification,[],[f147]) ).
thf(f149,plain,
! [X2: $i,X3: $i,X1: $i] :
( ( $false
= ( sK0 @ X3 @ X1 ) )
| ( $true
= ( sK0 @ X2 @ X1 ) )
| ( $false
= ( sK0 @ X3 @ X2 ) ) ),
inference(and_proxy_clausification,[],[f148]) ).
thf(f150,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] :
( !! @ $i
@ ^ [Y2: $i] :
( ( ( sK0 @ Y2 @ Y1 )
& ( sK0 @ Y1 @ Y0 ) )
=> ( sK0 @ Y2 @ Y0 ) ) ) ) ) )
| ( $true
!= ( !! @ $i
@ ^ [Y0: $i] : ( ?? @ $i @ ( sK0 @ Y0 ) ) ) ) ),
inference(beta-eta_normalization,[],[f135]) ).
thf(f151,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] :
( !! @ $i
@ ^ [Y2: $i] :
( ( ( sK0 @ Y2 @ Y1 )
& ( sK0 @ Y1 @ Y0 ) )
=> ( sK0 @ Y2 @ Y0 ) ) ) ) ) )
| ( $true
!= ( !! @ $i
@ ^ [Y0: $i] : ( ?? @ $i @ ( sK0 @ Y0 ) ) ) ) ),
inference(sigma_proxy_clausification,[],[f150]) ).
thf(f152,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] :
( !! @ $i
@ ^ [Y2: $i] :
( ( ( sK0 @ Y2 @ Y1 )
& ( sK0 @ Y1 @ Y0 ) )
=> ( sK0 @ Y2 @ Y0 ) ) ) )
@ sK2 ) )
| ( $true
!= ( !! @ $i
@ ^ [Y0: $i] : ( ?? @ $i @ ( sK0 @ Y0 ) ) ) ) ),
inference(sigma_proxy_clausification,[],[f151]) ).
thf(f153,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] :
( !! @ $i
@ ^ [Y2: $i] :
( ( ( sK0 @ Y2 @ Y1 )
& ( sK0 @ Y1 @ Y0 ) )
=> ( sK0 @ Y2 @ Y0 ) ) ) )
@ sK2 ) )
| ( $false
= ( ^ [Y0: $i] : ( ?? @ $i @ ( sK0 @ Y0 ) )
@ sK3 ) ) ),
inference(sigma_proxy_clausification,[],[f152]) ).
thf(f154,plain,
( ( $false
= ( !! @ $i
@ ^ [Y0: $i] :
( !! @ $i
@ ^ [Y1: $i] :
( ( ( sK0 @ Y1 @ Y0 )
& ( sK0 @ Y1 @ sK1 ) )
=> ( sK0 @ Y0 @ sK1 ) ) ) ) )
| ( $false
= ( !! @ $i
@ ^ [Y0: $i] :
( !! @ $i
@ ^ [Y1: $i] :
( ( ( sK0 @ Y1 @ Y0 )
& ( sK0 @ Y0 @ sK2 ) )
=> ( sK0 @ Y1 @ sK2 ) ) ) ) )
| ( $false
= ( ?? @ $i @ ( sK0 @ sK3 ) ) ) ),
inference(beta-eta_normalization,[],[f153]) ).
thf(f155,plain,
( ( $false
= ( ^ [Y0: $i] :
( !! @ $i
@ ^ [Y1: $i] :
( ( ( sK0 @ Y1 @ Y0 )
& ( sK0 @ Y1 @ sK1 ) )
=> ( sK0 @ Y0 @ sK1 ) ) )
@ sK4 ) )
| ( $false
= ( !! @ $i
@ ^ [Y0: $i] :
( !! @ $i
@ ^ [Y1: $i] :
( ( ( sK0 @ Y1 @ Y0 )
& ( sK0 @ Y0 @ sK2 ) )
=> ( sK0 @ Y1 @ sK2 ) ) ) ) )
| ( $false
= ( ?? @ $i @ ( sK0 @ sK3 ) ) ) ),
inference(sigma_proxy_clausification,[],[f154]) ).
thf(f156,plain,
( ( $false
= ( ^ [Y0: $i] :
( !! @ $i
@ ^ [Y1: $i] :
( ( ( sK0 @ Y1 @ Y0 )
& ( sK0 @ Y1 @ sK1 ) )
=> ( sK0 @ Y0 @ sK1 ) ) )
@ sK4 ) )
| ( $false
= ( ^ [Y0: $i] :
( !! @ $i
@ ^ [Y1: $i] :
( ( ( sK0 @ Y1 @ Y0 )
& ( sK0 @ Y0 @ sK2 ) )
=> ( sK0 @ Y1 @ sK2 ) ) )
@ sK5 ) )
| ( $false
= ( ?? @ $i @ ( sK0 @ sK3 ) ) ) ),
inference(sigma_proxy_clausification,[],[f155]) ).
thf(f157,plain,
! [X1: $i] :
( ( $false
= ( ^ [Y0: $i] :
( !! @ $i
@ ^ [Y1: $i] :
( ( ( sK0 @ Y1 @ Y0 )
& ( sK0 @ Y1 @ sK1 ) )
=> ( sK0 @ Y0 @ sK1 ) ) )
@ sK4 ) )
| ( $false
= ( ^ [Y0: $i] :
( !! @ $i
@ ^ [Y1: $i] :
( ( ( sK0 @ Y1 @ Y0 )
& ( sK0 @ Y0 @ sK2 ) )
=> ( sK0 @ Y1 @ sK2 ) ) )
@ sK5 ) )
| ( $false
= ( sK0 @ sK3 @ X1 ) ) ),
inference(pi_proxy_clausification,[],[f156]) ).
thf(f158,plain,
! [X1: $i] :
( ( $false
= ( !! @ $i
@ ^ [Y0: $i] :
( ( ( sK0 @ Y0 @ sK4 )
& ( sK0 @ Y0 @ sK1 ) )
=> ( sK0 @ sK4 @ sK1 ) ) ) )
| ( $false
= ( !! @ $i
@ ^ [Y0: $i] :
( ( ( sK0 @ Y0 @ sK5 )
& ( sK0 @ sK5 @ sK2 ) )
=> ( sK0 @ Y0 @ sK2 ) ) ) )
| ( $false
= ( sK0 @ sK3 @ X1 ) ) ),
inference(beta-eta_normalization,[],[f157]) ).
thf(f159,plain,
! [X1: $i] :
( ( $false
= ( ^ [Y0: $i] :
( ( ( sK0 @ Y0 @ sK4 )
& ( sK0 @ Y0 @ sK1 ) )
=> ( sK0 @ sK4 @ sK1 ) )
@ sK6 ) )
| ( $false
= ( !! @ $i
@ ^ [Y0: $i] :
( ( ( sK0 @ Y0 @ sK5 )
& ( sK0 @ sK5 @ sK2 ) )
=> ( sK0 @ Y0 @ sK2 ) ) ) )
| ( $false
= ( sK0 @ sK3 @ X1 ) ) ),
inference(sigma_proxy_clausification,[],[f158]) ).
thf(f160,plain,
! [X1: $i] :
( ( $false
= ( ^ [Y0: $i] :
( ( ( sK0 @ Y0 @ sK4 )
& ( sK0 @ Y0 @ sK1 ) )
=> ( sK0 @ sK4 @ sK1 ) )
@ sK6 ) )
| ( $false
= ( ^ [Y0: $i] :
( ( ( sK0 @ Y0 @ sK5 )
& ( sK0 @ sK5 @ sK2 ) )
=> ( sK0 @ Y0 @ sK2 ) )
@ sK7 ) )
| ( $false
= ( sK0 @ sK3 @ X1 ) ) ),
inference(sigma_proxy_clausification,[],[f159]) ).
thf(f161,plain,
! [X1: $i] :
( ( $false
= ( ( ( sK0 @ sK6 @ sK4 )
& ( sK0 @ sK6 @ sK1 ) )
=> ( sK0 @ sK4 @ sK1 ) ) )
| ( $false
= ( ( ( sK0 @ sK7 @ sK5 )
& ( sK0 @ sK5 @ sK2 ) )
=> ( sK0 @ sK7 @ sK2 ) ) )
| ( $false
= ( sK0 @ sK3 @ X1 ) ) ),
inference(beta-eta_normalization,[],[f160]) ).
thf(f162,plain,
! [X1: $i] :
( ( $false
= ( sK0 @ sK4 @ sK1 ) )
| ( $false
= ( ( ( sK0 @ sK7 @ sK5 )
& ( sK0 @ sK5 @ sK2 ) )
=> ( sK0 @ sK7 @ sK2 ) ) )
| ( $false
= ( sK0 @ sK3 @ X1 ) ) ),
inference(imp_proxy_clausification,[],[f161]) ).
thf(f163,plain,
! [X1: $i] :
( ( $true
= ( ( sK0 @ sK6 @ sK4 )
& ( sK0 @ sK6 @ sK1 ) ) )
| ( $false
= ( ( ( sK0 @ sK7 @ sK5 )
& ( sK0 @ sK5 @ sK2 ) )
=> ( sK0 @ sK7 @ sK2 ) ) )
| ( $false
= ( sK0 @ sK3 @ X1 ) ) ),
inference(imp_proxy_clausification,[],[f161]) ).
thf(f164,plain,
! [X1: $i] :
( ( $true
= ( sK0 @ sK6 @ sK1 ) )
| ( $false
= ( ( ( sK0 @ sK7 @ sK5 )
& ( sK0 @ sK5 @ sK2 ) )
=> ( sK0 @ sK7 @ sK2 ) ) )
| ( $false
= ( sK0 @ sK3 @ X1 ) ) ),
inference(and_proxy_clausification,[],[f163]) ).
thf(f165,plain,
! [X1: $i] :
( ( $true
= ( sK0 @ sK6 @ sK4 ) )
| ( $false
= ( ( ( sK0 @ sK7 @ sK5 )
& ( sK0 @ sK5 @ sK2 ) )
=> ( sK0 @ sK7 @ sK2 ) ) )
| ( $false
= ( sK0 @ sK3 @ X1 ) ) ),
inference(and_proxy_clausification,[],[f163]) ).
thf(f166,plain,
! [X1: $i] :
( ( $true
= ( sK0 @ sK6 @ sK4 ) )
| ( $false
= ( sK0 @ sK7 @ sK2 ) )
| ( $false
= ( sK0 @ sK3 @ X1 ) ) ),
inference(imp_proxy_clausification,[],[f165]) ).
thf(f167,plain,
! [X1: $i] :
( ( $true
= ( sK0 @ sK6 @ sK4 ) )
| ( $true
= ( ( sK0 @ sK7 @ sK5 )
& ( sK0 @ sK5 @ sK2 ) ) )
| ( $false
= ( sK0 @ sK3 @ X1 ) ) ),
inference(imp_proxy_clausification,[],[f165]) ).
thf(f168,plain,
! [X1: $i] :
( ( $true
= ( sK0 @ sK6 @ sK4 ) )
| ( $true
= ( sK0 @ sK5 @ sK2 ) )
| ( $false
= ( sK0 @ sK3 @ X1 ) ) ),
inference(and_proxy_clausification,[],[f167]) ).
thf(f169,plain,
! [X1: $i] :
( ( $true
= ( sK0 @ sK6 @ sK4 ) )
| ( $true
= ( sK0 @ sK7 @ sK5 ) )
| ( $false
= ( sK0 @ sK3 @ X1 ) ) ),
inference(and_proxy_clausification,[],[f167]) ).
thf(f170,plain,
! [X1: $i] :
( ( $true
= ( sK0 @ sK6 @ sK1 ) )
| ( $false
= ( sK0 @ sK7 @ sK2 ) )
| ( $false
= ( sK0 @ sK3 @ X1 ) ) ),
inference(imp_proxy_clausification,[],[f164]) ).
thf(f171,plain,
! [X1: $i] :
( ( $true
= ( sK0 @ sK6 @ sK1 ) )
| ( $true
= ( ( sK0 @ sK7 @ sK5 )
& ( sK0 @ sK5 @ sK2 ) ) )
| ( $false
= ( sK0 @ sK3 @ X1 ) ) ),
inference(imp_proxy_clausification,[],[f164]) ).
thf(f172,plain,
! [X1: $i] :
( ( $true
= ( sK0 @ sK6 @ sK1 ) )
| ( $true
= ( sK0 @ sK5 @ sK2 ) )
| ( $false
= ( sK0 @ sK3 @ X1 ) ) ),
inference(and_proxy_clausification,[],[f171]) ).
thf(f173,plain,
! [X1: $i] :
( ( $true
= ( sK0 @ sK6 @ sK1 ) )
| ( $true
= ( sK0 @ sK7 @ sK5 ) )
| ( $false
= ( sK0 @ sK3 @ X1 ) ) ),
inference(and_proxy_clausification,[],[f171]) ).
thf(f174,plain,
! [X1: $i] :
( ( $false
= ( sK0 @ sK4 @ sK1 ) )
| ( $false
= ( sK0 @ sK7 @ sK2 ) )
| ( $false
= ( sK0 @ sK3 @ X1 ) ) ),
inference(imp_proxy_clausification,[],[f162]) ).
thf(f175,plain,
! [X1: $i] :
( ( $false
= ( sK0 @ sK4 @ sK1 ) )
| ( $true
= ( ( sK0 @ sK7 @ sK5 )
& ( sK0 @ sK5 @ sK2 ) ) )
| ( $false
= ( sK0 @ sK3 @ X1 ) ) ),
inference(imp_proxy_clausification,[],[f162]) ).
thf(f176,plain,
! [X1: $i] :
( ( $false
= ( sK0 @ sK4 @ sK1 ) )
| ( $true
= ( sK0 @ sK5 @ sK2 ) )
| ( $false
= ( sK0 @ sK3 @ X1 ) ) ),
inference(and_proxy_clausification,[],[f175]) ).
thf(f177,plain,
! [X1: $i] :
( ( $false
= ( sK0 @ sK4 @ sK1 ) )
| ( $true
= ( sK0 @ sK7 @ sK5 ) )
| ( $false
= ( sK0 @ sK3 @ X1 ) ) ),
inference(and_proxy_clausification,[],[f175]) ).
thf(f179,definition,
( spl8_1
<=> ! [X1: $i] :
( $false
= ( sK0 @ sK3 @ X1 ) ) ),
introduced(definition,[new_symbols(definition,[spl8_1])],[avatar_definition]) ).
thf(f180,plain,
( ! [X1: $i] :
( $false
= ( sK0 @ sK3 @ X1 ) )
| ~ spl8_1 ),
inference(avatar_component_clause,[],[f179]) ).
thf(f182,definition,
( spl8_2
<=> ( $true
= ( sK0 @ sK7 @ sK5 ) ) ),
introduced(definition,[new_symbols(definition,[spl8_2])],[avatar_definition]) ).
thf(f184,plain,
( ( $true
= ( sK0 @ sK7 @ sK5 ) )
| ~ spl8_2 ),
inference(avatar_component_clause,[],[f182]) ).
thf(f186,definition,
( spl8_3
<=> ( $true
= ( sK0 @ sK6 @ sK4 ) ) ),
introduced(definition,[new_symbols(definition,[spl8_3])],[avatar_definition]) ).
thf(f188,plain,
( ( $true
= ( sK0 @ sK6 @ sK4 ) )
| ~ spl8_3 ),
inference(avatar_component_clause,[],[f186]) ).
thf(f189,plain,
( spl8_1
| spl8_2
| spl8_3 ),
inference(avatar_split_clause,[],[f169,f186,f182,f179]) ).
thf(f191,definition,
( spl8_4
<=> ( $true
= ( sK0 @ sK5 @ sK2 ) ) ),
introduced(definition,[new_symbols(definition,[spl8_4])],[avatar_definition]) ).
thf(f193,plain,
( ( $true
= ( sK0 @ sK5 @ sK2 ) )
| ~ spl8_4 ),
inference(avatar_component_clause,[],[f191]) ).
thf(f194,plain,
( spl8_1
| spl8_4
| spl8_3 ),
inference(avatar_split_clause,[],[f168,f186,f191,f179]) ).
thf(f196,definition,
( spl8_5
<=> ( $false
= ( sK0 @ sK7 @ sK2 ) ) ),
introduced(definition,[new_symbols(definition,[spl8_5])],[avatar_definition]) ).
thf(f198,plain,
( ( $false
= ( sK0 @ sK7 @ sK2 ) )
| ~ spl8_5 ),
inference(avatar_component_clause,[],[f196]) ).
thf(f199,plain,
( spl8_1
| spl8_5
| spl8_3 ),
inference(avatar_split_clause,[],[f166,f186,f196,f179]) ).
thf(f201,definition,
( spl8_6
<=> ( $true
= ( sK0 @ sK6 @ sK1 ) ) ),
introduced(definition,[new_symbols(definition,[spl8_6])],[avatar_definition]) ).
thf(f203,plain,
( ( $true
= ( sK0 @ sK6 @ sK1 ) )
| ~ spl8_6 ),
inference(avatar_component_clause,[],[f201]) ).
thf(f204,plain,
( spl8_1
| spl8_2
| spl8_6 ),
inference(avatar_split_clause,[],[f173,f201,f182,f179]) ).
thf(f205,plain,
( spl8_1
| spl8_4
| spl8_6 ),
inference(avatar_split_clause,[],[f172,f201,f191,f179]) ).
thf(f206,plain,
( spl8_1
| spl8_5
| spl8_6 ),
inference(avatar_split_clause,[],[f170,f201,f196,f179]) ).
thf(f208,definition,
( spl8_7
<=> ( $false
= ( sK0 @ sK4 @ sK1 ) ) ),
introduced(definition,[new_symbols(definition,[spl8_7])],[avatar_definition]) ).
thf(f210,plain,
( ( $false
= ( sK0 @ sK4 @ sK1 ) )
| ~ spl8_7 ),
inference(avatar_component_clause,[],[f208]) ).
thf(f211,plain,
( spl8_1
| spl8_2
| spl8_7 ),
inference(avatar_split_clause,[],[f177,f208,f182,f179]) ).
thf(f212,plain,
( spl8_1
| spl8_4
| spl8_7 ),
inference(avatar_split_clause,[],[f176,f208,f191,f179]) ).
thf(f213,plain,
( spl8_1
| spl8_5
| spl8_7 ),
inference(avatar_split_clause,[],[f174,f208,f196,f179]) ).
thf(f225,plain,
! [X0: $i,X1: $i] :
( ( $true = $false )
| ( $true
= ( sK0 @ X1 @ X0 ) )
| ( $false
= ( sK0 @ X0 @ X1 ) ) ),
inference(constrained_superposition,[],[f140,f149]) ).
thf(f234,plain,
( ! [X0: $i] :
( ( $true = $false )
| ( $false
= ( sK0 @ X0 @ sK2 ) )
| ( $false
= ( sK0 @ X0 @ sK7 ) ) )
| ~ spl8_5 ),
inference(constrained_superposition,[],[f198,f149]) ).
thf(f252,plain,
( ! [X0: $i] :
( ( $false
= ( sK0 @ X0 @ sK7 ) )
| ( $false
= ( sK0 @ X0 @ sK2 ) ) )
| ~ spl8_5 ),
inference(trivial_inequality_removal,[],[f234]) ).
thf(f258,plain,
! [X0: $i,X1: $i] :
( ( $true
= ( sK0 @ X1 @ X0 ) )
| ( $false
= ( sK0 @ X0 @ X1 ) ) ),
inference(trivial_inequality_removal,[],[f225]) ).
thf(f289,plain,
( ( $true = $false )
| ( $true
= ( sK0 @ sK5 @ sK7 ) )
| ~ spl8_2 ),
inference(constrained_superposition,[],[f184,f258]) ).
thf(f291,plain,
( ( $true
= ( sK0 @ sK5 @ sK7 ) )
| ~ spl8_2 ),
inference(trivial_inequality_removal,[],[f289]) ).
thf(f353,plain,
( ( $true = $false )
| ( $false
= ( sK0 @ sK5 @ sK2 ) )
| ~ spl8_2
| ~ spl8_5 ),
inference(constrained_superposition,[],[f291,f252]) ).
thf(f354,plain,
( ( $false
= ( sK0 @ sK5 @ sK2 ) )
| ~ spl8_2
| ~ spl8_5 ),
inference(trivial_inequality_removal,[],[f353]) ).
thf(f416,plain,
( ( $true = $false )
| ~ spl8_2
| ~ spl8_4
| ~ spl8_5 ),
inference(constrained_superposition,[],[f354,f193]) ).
thf(f426,plain,
( $false
| ~ spl8_2
| ~ spl8_4
| ~ spl8_5 ),
inference(trivial_inequality_removal,[],[f416]) ).
thf(f427,plain,
( ~ spl8_2
| ~ spl8_4
| ~ spl8_5 ),
inference(avatar_contradiction_clause,[],[f426]) ).
thf(f439,plain,
( ( $true = $false )
| ~ spl8_1 ),
inference(constrained_superposition,[],[f180,f140]) ).
thf(f453,plain,
( $false
| ~ spl8_1 ),
inference(trivial_inequality_removal,[],[f439]) ).
thf(f454,plain,
~ spl8_1,
inference(avatar_contradiction_clause,[],[f453]) ).
thf(f459,plain,
( ! [X0: $i] :
( ( $true = $false )
| ( $false
= ( sK0 @ X0 @ sK1 ) )
| ( $false
= ( sK0 @ X0 @ sK4 ) ) )
| ~ spl8_7 ),
inference(constrained_superposition,[],[f149,f210]) ).
thf(f460,plain,
( ! [X0: $i] :
( ( $false
= ( sK0 @ X0 @ sK4 ) )
| ( $false
= ( sK0 @ X0 @ sK1 ) ) )
| ~ spl8_7 ),
inference(trivial_inequality_removal,[],[f459]) ).
thf(f588,plain,
( ( $true = $false )
| ( $false
= ( sK0 @ sK6 @ sK1 ) )
| ~ spl8_3
| ~ spl8_7 ),
inference(constrained_superposition,[],[f188,f460]) ).
thf(f589,plain,
( ( $false
= ( sK0 @ sK6 @ sK1 ) )
| ~ spl8_3
| ~ spl8_7 ),
inference(trivial_inequality_removal,[],[f588]) ).
thf(f802,plain,
( ( $true = $false )
| ~ spl8_3
| ~ spl8_6
| ~ spl8_7 ),
inference(constrained_superposition,[],[f589,f203]) ).
thf(f814,plain,
( $false
| ~ spl8_3
| ~ spl8_6
| ~ spl8_7 ),
inference(trivial_inequality_removal,[],[f802]) ).
thf(f815,plain,
( ~ spl8_3
| ~ spl8_6
| ~ spl8_7 ),
inference(avatar_contradiction_clause,[],[f814]) ).
cnf(s1,plain,
( spl8_1
| spl8_2
| spl8_3 ),
inference(sat_conversion,[],[f189]) ).
cnf(s2,plain,
( spl8_1
| spl8_3
| spl8_4 ),
inference(sat_conversion,[],[f194]) ).
cnf(s3,plain,
( spl8_1
| spl8_3
| spl8_5 ),
inference(sat_conversion,[],[f199]) ).
cnf(s4,plain,
( spl8_1
| spl8_2
| spl8_6 ),
inference(sat_conversion,[],[f204]) ).
cnf(s5,plain,
( spl8_1
| spl8_4
| spl8_6 ),
inference(sat_conversion,[],[f205]) ).
cnf(s6,plain,
( spl8_1
| spl8_5
| spl8_6 ),
inference(sat_conversion,[],[f206]) ).
cnf(s7,plain,
( spl8_1
| spl8_2
| spl8_7 ),
inference(sat_conversion,[],[f211]) ).
cnf(s8,plain,
( spl8_1
| spl8_4
| spl8_7 ),
inference(sat_conversion,[],[f212]) ).
cnf(s9,plain,
( spl8_1
| spl8_5
| spl8_7 ),
inference(sat_conversion,[],[f213]) ).
cnf(s11,plain,
( ~ spl8_2
| ~ spl8_4
| ~ spl8_5 ),
inference(sat_conversion,[],[f427]) ).
cnf(s13,plain,
~ spl8_1,
inference(sat_conversion,[],[f454]) ).
cnf(s15,plain,
( ~ spl8_3
| ~ spl8_6
| ~ spl8_7 ),
inference(sat_conversion,[],[f815]) ).
cnf(s16,plain,
( spl8_5
| spl8_7 ),
inference(rat,[],[s9,s13]) ).
cnf(s17,plain,
( spl8_4
| spl8_7 ),
inference(rat,[],[s8,s13]) ).
cnf(s18,plain,
( spl8_2
| spl8_7 ),
inference(rat,[],[s7,s13]) ).
cnf(s19,plain,
( spl8_5
| spl8_6 ),
inference(rat,[],[s6,s13]) ).
cnf(s20,plain,
( spl8_4
| spl8_6 ),
inference(rat,[],[s5,s13]) ).
cnf(s21,plain,
( spl8_2
| spl8_6 ),
inference(rat,[],[s4,s13]) ).
cnf(s22,plain,
( spl8_3
| spl8_5 ),
inference(rat,[],[s3,s13]) ).
cnf(s23,plain,
( spl8_3
| spl8_4 ),
inference(rat,[],[s2,s13]) ).
cnf(s24,plain,
( spl8_2
| spl8_3 ),
inference(rat,[],[s1,s13]) ).
cnf(s25,plain,
spl8_2,
inference(rat,[],[s15,s24,s21,s18]) ).
cnf(s26,plain,
spl8_3,
inference(rat,[],[s11,s23,s22,s25]) ).
cnf(s27,plain,
spl8_5,
inference(rat,[],[s15,s19,s16,s26]) ).
cnf(s28,plain,
~ spl8_4,
inference(rat,[],[s11,s25,s27]) ).
cnf(s29,plain,
spl8_7,
inference(rat,[],[s17,s28]) ).
cnf(s30,plain,
spl8_6,
inference(rat,[],[s20,s28]) ).
cnf(s31,plain,
$false,
inference(rat,[],[s15,s26,s29,s30]) ).
thf(f819,plain,
$false,
inference(avatar_sat_refutation,[],[s31]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : LCL868^1 : TPTP v9.3.1. Bugfixed v5.0.0.
% 0.00/0.06 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.10/0.18 % Computer : n006.cluster.edu
% 0.10/0.18 % Model : x86_64 x86_64
% 0.10/0.18 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.18 % Memory : 8046.5625MB
% 0.10/0.18 % OS : Linux 6.8.0-71-generic
% 0.10/0.18 % CPULimit : 300
% 0.10/0.18 % WCLimit : 300
% 0.10/0.18 % DateTime : Tue Sep 29 10:16:24 UTC 2026
% 0.10/0.19 % CPUTime :
% 0.10/0.19 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.10/0.22 Running first-order model finding
% 0.10/0.22 Running: /export/starexec/sandbox2/solver/bin/vampire-ho --input_syntax tptp --output_axiom_names on --mode casc --intent sat -m 16384 --cores 7 -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.20/0.34 % (520390)Will run a generic schedule for satisfiability detection.
% 0.20/0.34 % (520397)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=1031508015:i=88024:add=on:rawr=on_2999 on theBenchmark for (2999ds/88024Mi)
% 0.20/0.34 % (520396)% WARNING: option uhcvi not known.
% 0.20/0.34 % (520395)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=506599189_2999 on theBenchmark for (2999ds/0Mi)
% 0.20/0.34 % (520396)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=3377397034:i=135531:add=off:rawr=on_2999 on theBenchmark for (2999ds/135531Mi)
% 0.20/0.34 % (520398)dis+10_1_sil=32000:sp=arity:random_seed=3386461320:i=103:fgj=on_2999 on theBenchmark for (2999ds/103Mi)
% 0.20/0.34 % (520399)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=607115366:i=116_2999 on theBenchmark for (2999ds/116Mi)
% 0.20/0.34 % (520396)WARNING: Not using 'newcnf' as currently not compatible with higher-order inputs.
% 0.20/0.34 % (520399)WARNING: Not using 'newcnf' as currently not compatible with higher-order inputs.
% 0.20/0.34 % Exception at run slice level
% 0.20/0.34 User error: Finite model building is currently not compatible with polymorphism or higher-order constructs
% 0.20/0.34 % (520396)WARNING: Look ahead literal selection is not currently compatible with higher-order. Ignoring request to use
% 0.20/0.34 % (520400)ott+1_1_to=lpo:sil=16000:sp=reverse_arity:erd=off:random_seed=3627199868:i=131_2999 on theBenchmark for (2999ds/131Mi)
% 0.20/0.34 % (520401)ott-3_16_to=lpo:sil=16000:sp=arity:fd=off:rp=on:random_seed=2231905924:i=159:bs=unit_only:nicw=on:fsr=off:amm=off_2999 on theBenchmark for (2999ds/159Mi)
% 0.20/0.34 % (520407)fmb+10_1_fmbas=predicate:sil=64000:sas=cadical:random_seed=1779108335:i=714:nm=2_2999 on theBenchmark for (2999ds/714Mi)
% 0.20/0.34 % Exception at run slice level
% 0.20/0.34 User error: Finite model building is currently not compatible with polymorphism or higher-order constructs
% 0.20/0.34 % (520411)ott+32_1_sil=16000:bsd=on:sp=const_max:bce=on:random_seed=1035488363:i=131:bd=preordered:fsd=on_2999 on theBenchmark for (2999ds/131Mi)
% 0.20/0.34 % (520398)Instruction limit reached!
% 0.20/0.34 % (520398)------------------------------
% 0.20/0.34 % (520398)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.20/0.34 % (520398)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.20/0.34 % (520398)CaDiCaL version: 2.1.3
% 0.20/0.34 % (520398)Termination reason: Instruction limit
% 0.20/0.34 % (520398)Termination phase: Saturation
% 0.20/0.34 % (520398)Time elapsed: 0.047 s
% 0.20/0.34 % (520398)Peak memory usage: 12 MB
% 0.20/0.34 % (520398)Instructions burned: 105 (million)
% 0.20/0.34 % (520399)Instruction limit reached!
% 0.20/0.34 % (520399)------------------------------
% 0.20/0.34 % (520399)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.20/0.34 % (520399)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.20/0.34 % (520399)CaDiCaL version: 2.1.3
% 0.20/0.34 % (520399)Termination reason: Instruction limit
% 0.20/0.34 % (520399)Termination phase: Saturation
% 0.20/0.34 % (520399)Time elapsed: 0.052 s
% 0.20/0.34 % (520399)Peak memory usage: 12 MB
% 0.20/0.34 % (520399)Instructions burned: 117 (million)
% 0.20/0.34 % (520401) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-520390-520401"...
% 0.20/0.34 % (520413)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=1501780680:i=684:slsql=off:bs=unit_only:nicw=on:rawr=on_2999 on theBenchmark for (2999ds/684Mi)
% 0.20/0.34 % (520413)WARNING: Not using 'newcnf' as currently not compatible with higher-order inputs.
% 0.20/0.34 % (520413)WARNING: Look ahead literal selection is not currently compatible with higher-order. Ignoring request to use
% 0.20/0.34 % (520401)...printing done.
% 0.20/0.34 % (520401)Refutation found. Thanks to Tanya!
% 0.20/0.34 % SZS status Theorem for theBenchmark
% 0.20/0.34 % SZS output start Proof for theBenchmark
% See solution above
% 0.20/0.34 % (520401)------------------------------
% 0.20/0.34 % (520401)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.20/0.34 % (520401)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.20/0.34 % (520401)CaDiCaL version: 2.1.3
% 0.20/0.34 % (520401)Termination reason: Refutation
% 0.20/0.34 % (520401)Time elapsed: 0.050 s
% 0.20/0.34 % (520401)Peak memory usage: 13 MB
% 0.20/0.34 % (520401)Instructions burned: 47 (million)
% 0.20/0.34 % (520390)Success in time 0.111 s
% 0.20/0.34 % Vampire exiting
%------------------------------------------------------------------------------