%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : SWV425^2 : TPTP v9.3.1. Released v3.6.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% Computer : n010.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 08:40:04 AM UTC 2026
% Result : Theorem 2.42s 0.71s
% Output : Refutation 2.42s
% Verified :
% SZS Type : Refutation
% Derivation depth : 31
% Number of leaves : 14
% Syntax : Number of formulae : 119 ( 76 unt; 0 typ; 2 def)
% Number of atoms : 772 ( 161 equ; 0 cnn)
% Maximal formula atoms : 9 ( 6 avg)
% Number of connectives : 1037 ( 48 ~; 95 |; 0 &; 740 @)
% ( 2 <=>; 83 =>; 0 <=; 0 <~>)
% Maximal formula depth : 8 ( 3 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of types : 3 ( 1 usr)
% Number of type conns : 152 ( 152 >; 0 *; 0 +; 0 <<)
% Number of symbols : 56 ( 52 usr; 9 con; 0-4 aty)
% ( 69 !!; 0 ??; 0 @@+; 0 @@-)
% Number of variables : 310 ( 0 sgn 83 !; 0 ?; 310 :)
% Comments :
%------------------------------------------------------------------------------
thf(type_def_5,type,
sTfun: ( $tType * $tType ) > $tType ).
thf(type_def_6,type,
individuals: $tType ).
thf(func_def_1,type,
prop_a: $i > $o ).
thf(func_def_2,type,
prop_b: $i > $o ).
thf(func_def_3,type,
prop_c: $i > $o ).
thf(func_def_4,type,
mfalse: $i > $o ).
thf(func_def_5,type,
mtrue: $i > $o ).
thf(func_def_6,type,
mnot: ( $i > $o ) > $i > $o ).
thf(func_def_8,type,
mor: ( $i > $o ) > ( $i > $o ) > $i > $o ).
thf(func_def_9,type,
mand: ( $i > $o ) > ( $i > $o ) > $i > $o ).
thf(func_def_10,type,
mimpl: ( $i > $o ) > ( $i > $o ) > $i > $o ).
thf(func_def_11,type,
miff: ( $i > $o ) > ( $i > $o ) > $i > $o ).
thf(func_def_12,type,
mbox: ( $i > $i > $o ) > ( $i > $o ) > $i > $o ).
thf(func_def_13,type,
mdia: ( $i > $i > $o ) > ( $i > $o ) > $i > $o ).
thf(func_def_14,type,
mall: ( individuals > $i > $o ) > $i > $o ).
thf(func_def_15,type,
mexists: ( individuals > $i > $o ) > $i > $o ).
thf(func_def_16,type,
mvalid: ( $i > $o ) > $o ).
thf(func_def_17,type,
msatisfiable: ( $i > $o ) > $o ).
thf(func_def_18,type,
mcountersatisfiable: ( $i > $o ) > $o ).
thf(func_def_19,type,
minvalid: ( $i > $o ) > $o ).
thf(func_def_20,type,
rel: $i > $i > $o ).
thf(func_def_21,type,
icl_atom: ( $i > $o ) > $i > $o ).
thf(func_def_22,type,
icl_princ: ( $i > $o ) > $i > $o ).
thf(func_def_23,type,
icl_and: ( $i > $o ) > ( $i > $o ) > $i > $o ).
thf(func_def_24,type,
icl_or: ( $i > $o ) > ( $i > $o ) > $i > $o ).
thf(func_def_25,type,
icl_impl: ( $i > $o ) > ( $i > $o ) > $i > $o ).
thf(func_def_26,type,
icl_true: $i > $o ).
thf(func_def_27,type,
icl_false: $i > $o ).
thf(func_def_28,type,
icl_says: ( $i > $o ) > ( $i > $o ) > $i > $o ).
thf(func_def_29,type,
iclval: ( $i > $o ) > $o ).
thf(func_def_30,type,
s: $i > $o ).
thf(func_def_31,type,
a: $i > $o ).
thf(func_def_34,type,
vLAM:
!>[X0: $tType,X1: $tType] : ( X1 > X0 > X1 ) ).
thf(func_def_35,type,
vNOT: $o > $o ).
thf(func_def_36,type,
db1:
!>[X0: $tType] : X0 ).
thf(func_def_37,type,
db0:
!>[X0: $tType] : X0 ).
thf(func_def_38,type,
vOR: $o > $o > $o ).
thf(func_def_39,type,
db2:
!>[X0: $tType] : X0 ).
thf(func_def_40,type,
vAND: $o > $o > $o ).
thf(func_def_41,type,
vPI:
!>[X0: $tType] : ( ( X0 > $o ) > $o ) ).
thf(func_def_42,type,
vIMP: $o > $o > $o ).
thf(func_def_43,type,
db3:
!>[X0: $tType] : X0 ).
thf(func_def_44,type,
vSIGMA:
!>[X0: $tType] : ( ( X0 > $o ) > $o ) ).
thf(func_def_49,type,
sK4: $i > ( $i > $o ) > $i ).
thf(func_def_50,type,
sK5: $i > ( $i > $o ) > $i ).
thf(func_def_51,type,
vEQ:
!>[X0: $tType] : ( X0 > X0 > $o ) ).
thf(func_def_53,type,
sK7: ( $i > $o ) > $i ).
thf(f3,axiom,
( mnot
= ( ^ [X0: $i > $o,X1: $i] :
~ ( X0 @ X1 ) ) ),
file('/export/starexec/sandbox/benchmark/Axioms/LCL008^0.ax',mnot) ).
thf(f4,axiom,
( mor
= ( ^ [X0: $i > $o,X1: $i > $o,X2: $i] :
( ( X1 @ X2 )
| ( X0 @ X2 ) ) ) ),
file('/export/starexec/sandbox/benchmark/Axioms/LCL008^0.ax',mor) ).
thf(f6,axiom,
( mimpl
= ( ^ [X0: $i > $o,X1: $i > $o] : ( mor @ ( mnot @ X0 ) @ X1 ) ) ),
file('/export/starexec/sandbox/benchmark/Axioms/LCL008^0.ax',mimpl) ).
thf(f8,axiom,
( mbox
= ( ^ [X0: $i > $i > $o,X1: $i > $o,X2: $i] :
! [X3: $i] :
( ( X0 @ X2 @ X3 )
=> ( X1 @ X3 ) ) ) ),
file('/export/starexec/sandbox/benchmark/Axioms/LCL008^0.ax',mbox) ).
thf(f12,axiom,
( mvalid
= ( ^ [X0: $i > $o] :
! [X1: $i] : ( X0 @ X1 ) ) ),
file('/export/starexec/sandbox/benchmark/Axioms/LCL008^0.ax',mvalid) ).
thf(f16,axiom,
( icl_atom
= ( ^ [X0: $i > $o] : ( mbox @ rel @ X0 ) ) ),
file('/export/starexec/sandbox/benchmark/Axioms/SWV008^0.ax',icl_atom) ).
thf(f17,axiom,
( icl_princ
= ( ^ [X0: $i > $o] : X0 ) ),
file('/export/starexec/sandbox/benchmark/Axioms/SWV008^0.ax',icl_princ) ).
thf(f20,axiom,
( icl_impl
= ( ^ [X0: $i > $o,X1: $i > $o] : ( mbox @ rel @ ( mimpl @ X0 @ X1 ) ) ) ),
file('/export/starexec/sandbox/benchmark/Axioms/SWV008^0.ax',icl_impl) ).
thf(f23,axiom,
( icl_says
= ( ^ [X0: $i > $o,X1: $i > $o] : ( mbox @ rel @ ( mor @ X0 @ X1 ) ) ) ),
file('/export/starexec/sandbox/benchmark/Axioms/SWV008^0.ax',icl_says) ).
thf(f24,axiom,
( iclval
= ( ^ [X0: $i > $o] : ( mvalid @ X0 ) ) ),
file('/export/starexec/sandbox/benchmark/Axioms/SWV008^0.ax',icl_s4_valid) ).
thf(f26,axiom,
! [X0: $i > $o] : ( mvalid @ ( mimpl @ ( mbox @ rel @ X0 ) @ ( mbox @ rel @ ( mbox @ rel @ X0 ) ) ) ),
file('/export/starexec/sandbox/benchmark/Axioms/SWV008^1.ax',trans_axiom) ).
thf(f27,conjecture,
iclval @ ( icl_impl @ ( icl_atom @ s ) @ ( icl_says @ ( icl_princ @ a ) @ ( icl_atom @ s ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',unit) ).
thf(f28,negated_conjecture,
~ ( iclval @ ( icl_impl @ ( icl_atom @ s ) @ ( icl_says @ ( icl_princ @ a ) @ ( icl_atom @ s ) ) ) ),
inference(negated_conjecture,[status(cth)],[f27]) ).
thf(f31,plain,
( mnot
= ( ^ [X0: $i > $o,X1: $i] :
~ ( X0 @ X1 ) ) ),
inference(rectify,[],[f3]) ).
thf(f32,plain,
( mnot
= ( ^ [Y0: $i > $o,Y1: $i] :
~ ( Y0 @ Y1 ) ) ),
inference(fool_elimination,[],[f31]) ).
thf(f33,plain,
( mor
= ( ^ [X0: $i > $o,X1: $i > $o,X2: $i] :
( ( X1 @ X2 )
| ( X0 @ X2 ) ) ) ),
inference(rectify,[],[f4]) ).
thf(f34,plain,
( mor
= ( ^ [Y0: $i > $o,Y1: $i > $o,Y2: $i] :
( ( Y0 @ Y2 )
| ( Y1 @ Y2 ) ) ) ),
inference(fool_elimination,[],[f33]) ).
thf(f37,plain,
( mimpl
= ( ^ [Y0: $i > $o,Y1: $i > $o] : ( mor @ ( mnot @ Y0 ) @ Y1 ) ) ),
inference(fool_elimination,[],[f6]) ).
thf(f39,plain,
( mbox
= ( ^ [X0: $i > $i > $o,X1: $i > $o,X2: $i] :
! [X3: $i] :
( ( X0 @ X2 @ X3 )
=> ( X1 @ X3 ) ) ) ),
inference(rectify,[],[f8]) ).
thf(f40,plain,
( mbox
= ( ^ [Y0: $i > $i > $o,Y1: $i > $o,Y2: $i] :
( !! @ $i
@ ^ [Y3: $i] :
( ( Y0 @ Y2 @ Y3 )
=> ( Y1 @ Y3 ) ) ) ) ),
inference(fool_elimination,[],[f39]) ).
thf(f47,plain,
( mvalid
= ( ^ [X0: $i > $o] :
! [X1: $i] : ( X0 @ X1 ) ) ),
inference(rectify,[],[f12]) ).
thf(f48,plain,
( mvalid
= ( ^ [Y0: $i > $o] :
( !! @ $i
@ ^ [Y1: $i] : ( Y0 @ Y1 ) ) ) ),
inference(fool_elimination,[],[f47]) ).
thf(f55,plain,
( icl_atom
= ( ^ [Y0: $i > $o] : ( mbox @ rel @ Y0 ) ) ),
inference(fool_elimination,[],[f16]) ).
thf(f56,plain,
( icl_princ
= ( ^ [Y0: $i > $o] : Y0 ) ),
inference(fool_elimination,[],[f17]) ).
thf(f59,plain,
( icl_impl
= ( ^ [Y0: $i > $o,Y1: $i > $o] : ( mbox @ rel @ ( mimpl @ Y0 @ Y1 ) ) ) ),
inference(fool_elimination,[],[f20]) ).
thf(f60,plain,
( icl_says
= ( ^ [Y0: $i > $o,Y1: $i > $o] : ( mbox @ rel @ ( mor @ Y0 @ Y1 ) ) ) ),
inference(fool_elimination,[],[f23]) ).
thf(f61,plain,
( iclval
= ( ^ [Y0: $i > $o] : ( mvalid @ Y0 ) ) ),
inference(fool_elimination,[],[f24]) ).
thf(f64,plain,
! [X0: $i > $o] : ( mvalid @ ( mimpl @ ( mbox @ rel @ X0 ) @ ( mbox @ rel @ ( mbox @ rel @ X0 ) ) ) ),
inference(rectify,[],[f26]) ).
thf(f65,plain,
! [X0: $i > $o] :
( ( mvalid @ ( mimpl @ ( mbox @ rel @ X0 ) @ ( mbox @ rel @ ( mbox @ rel @ X0 ) ) ) )
= $true ),
inference(fool_elimination,[],[f64]) ).
thf(f66,plain,
~ ( iclval @ ( icl_impl @ ( icl_atom @ s ) @ ( icl_says @ ( icl_princ @ a ) @ ( icl_atom @ s ) ) ) ),
inference(rectify,[],[f28]) ).
thf(f67,plain,
( ( iclval @ ( icl_impl @ ( icl_atom @ s ) @ ( icl_says @ ( icl_princ @ a ) @ ( icl_atom @ s ) ) ) )
!= $true ),
inference(fool_elimination,[],[f66]) ).
thf(f68,plain,
( ( iclval @ ( icl_impl @ ( icl_atom @ s ) @ ( icl_says @ ( icl_princ @ a ) @ ( icl_atom @ s ) ) ) )
!= $true ),
inference(flattening,[],[f67]) ).
thf(f71,plain,
( mnot
= ( ^ [Y0: $i > $o,Y1: $i] :
~ ( Y0 @ Y1 ) ) ),
inference(cnf_transformation,[],[f32]) ).
thf(f72,plain,
( mor
= ( ^ [Y0: $i > $o,Y1: $i > $o,Y2: $i] :
( ( Y0 @ Y2 )
| ( Y1 @ Y2 ) ) ) ),
inference(cnf_transformation,[],[f34]) ).
thf(f74,plain,
( mimpl
= ( ^ [Y0: $i > $o,Y1: $i > $o] : ( mor @ ( mnot @ Y0 ) @ Y1 ) ) ),
inference(cnf_transformation,[],[f37]) ).
thf(f76,plain,
( mbox
= ( ^ [Y0: $i > $i > $o,Y1: $i > $o,Y2: $i] :
( !! @ $i
@ ^ [Y3: $i] :
( ( Y0 @ Y2 @ Y3 )
=> ( Y1 @ Y3 ) ) ) ) ),
inference(cnf_transformation,[],[f40]) ).
thf(f80,plain,
( mvalid
= ( ^ [Y0: $i > $o] :
( !! @ $i
@ ^ [Y1: $i] : ( Y0 @ Y1 ) ) ) ),
inference(cnf_transformation,[],[f48]) ).
thf(f84,plain,
( icl_atom
= ( ^ [Y0: $i > $o] : ( mbox @ rel @ Y0 ) ) ),
inference(cnf_transformation,[],[f55]) ).
thf(f85,plain,
( icl_princ
= ( ^ [Y0: $i > $o] : Y0 ) ),
inference(cnf_transformation,[],[f56]) ).
thf(f88,plain,
( icl_impl
= ( ^ [Y0: $i > $o,Y1: $i > $o] : ( mbox @ rel @ ( mimpl @ Y0 @ Y1 ) ) ) ),
inference(cnf_transformation,[],[f59]) ).
thf(f91,plain,
( icl_says
= ( ^ [Y0: $i > $o,Y1: $i > $o] : ( mbox @ rel @ ( mor @ Y0 @ Y1 ) ) ) ),
inference(cnf_transformation,[],[f60]) ).
thf(f92,plain,
( iclval
= ( ^ [Y0: $i > $o] : ( mvalid @ Y0 ) ) ),
inference(cnf_transformation,[],[f61]) ).
thf(f94,plain,
! [X0: $i > $o] :
( ( mvalid @ ( mimpl @ ( mbox @ rel @ X0 ) @ ( mbox @ rel @ ( mbox @ rel @ X0 ) ) ) )
= $true ),
inference(cnf_transformation,[],[f65]) ).
thf(f95,plain,
( ( iclval @ ( icl_impl @ ( icl_atom @ s ) @ ( icl_says @ ( icl_princ @ a ) @ ( icl_atom @ s ) ) ) )
!= $true ),
inference(cnf_transformation,[],[f68]) ).
thf(f98,plain,
( mimpl
= ( ^ [Y0: $i > $o,Y1: $i > $o] :
( ^ [Y2: $i > $o,Y3: $i > $o,Y4: $i] :
( ( Y2 @ Y4 )
| ( Y3 @ Y4 ) )
@ ( ^ [Y2: $i > $o,Y3: $i] :
~ ( Y2 @ Y3 )
@ Y0 )
@ Y1 ) ) ),
inference(definition_unfolding,[],[f74,f72,f71]) ).
thf(f100,plain,
( icl_atom
= ( ^ [Y0: $i > $o] :
( ^ [Y1: $i > $i > $o,Y2: $i > $o,Y3: $i] :
( !! @ $i
@ ^ [Y4: $i] :
( ( Y1 @ Y3 @ Y4 )
=> ( Y2 @ Y4 ) ) )
@ rel
@ Y0 ) ) ),
inference(definition_unfolding,[],[f84,f76]) ).
thf(f103,plain,
( icl_impl
= ( ^ [Y0: $i > $o,Y1: $i > $o] :
( ^ [Y2: $i > $i > $o,Y3: $i > $o,Y4: $i] :
( !! @ $i
@ ^ [Y5: $i] :
( ( Y2 @ Y4 @ Y5 )
=> ( Y3 @ Y5 ) ) )
@ rel
@ ( ^ [Y2: $i > $o,Y3: $i > $o] :
( ^ [Y4: $i > $o,Y5: $i > $o,Y6: $i] :
( ( Y4 @ Y6 )
| ( Y5 @ Y6 ) )
@ ( ^ [Y4: $i > $o,Y5: $i] :
~ ( Y4 @ Y5 )
@ Y2 )
@ Y3 )
@ Y0
@ Y1 ) ) ) ),
inference(definition_unfolding,[],[f88,f76,f98]) ).
thf(f106,plain,
( icl_says
= ( ^ [Y0: $i > $o,Y1: $i > $o] :
( ^ [Y2: $i > $i > $o,Y3: $i > $o,Y4: $i] :
( !! @ $i
@ ^ [Y5: $i] :
( ( Y2 @ Y4 @ Y5 )
=> ( Y3 @ Y5 ) ) )
@ rel
@ ( ^ [Y2: $i > $o,Y3: $i > $o,Y4: $i] :
( ( Y2 @ Y4 )
| ( Y3 @ Y4 ) )
@ Y0
@ Y1 ) ) ) ),
inference(definition_unfolding,[],[f91,f76,f72]) ).
thf(f107,plain,
( iclval
= ( ^ [Y0: $i > $o] :
( ^ [Y1: $i > $o] :
( !! @ $i
@ ^ [Y2: $i] : ( Y1 @ Y2 ) )
@ Y0 ) ) ),
inference(definition_unfolding,[],[f92,f80]) ).
thf(f109,plain,
! [X0: $i > $o] :
( $true
= ( ^ [Y0: $i > $o] :
( !! @ $i
@ ^ [Y1: $i] : ( Y0 @ Y1 ) )
@ ( ^ [Y0: $i > $o,Y1: $i > $o] :
( ^ [Y2: $i > $o,Y3: $i > $o,Y4: $i] :
( ( Y2 @ Y4 )
| ( Y3 @ Y4 ) )
@ ( ^ [Y2: $i > $o,Y3: $i] :
~ ( Y2 @ Y3 )
@ Y0 )
@ Y1 )
@ ( ^ [Y0: $i > $i > $o,Y1: $i > $o,Y2: $i] :
( !! @ $i
@ ^ [Y3: $i] :
( ( Y0 @ Y2 @ Y3 )
=> ( Y1 @ Y3 ) ) )
@ rel
@ X0 )
@ ( ^ [Y0: $i > $i > $o,Y1: $i > $o,Y2: $i] :
( !! @ $i
@ ^ [Y3: $i] :
( ( Y0 @ Y2 @ Y3 )
=> ( Y1 @ Y3 ) ) )
@ rel
@ ( ^ [Y0: $i > $i > $o,Y1: $i > $o,Y2: $i] :
( !! @ $i
@ ^ [Y3: $i] :
( ( Y0 @ Y2 @ Y3 )
=> ( Y1 @ Y3 ) ) )
@ rel
@ X0 ) ) ) ) ),
inference(definition_unfolding,[],[f94,f80,f98,f76,f76,f76]) ).
thf(f110,plain,
( $true
!= ( ^ [Y0: $i > $o] :
( ^ [Y1: $i > $o] :
( !! @ $i
@ ^ [Y2: $i] : ( Y1 @ Y2 ) )
@ Y0 )
@ ( ^ [Y0: $i > $o,Y1: $i > $o] :
( ^ [Y2: $i > $i > $o,Y3: $i > $o,Y4: $i] :
( !! @ $i
@ ^ [Y5: $i] :
( ( Y2 @ Y4 @ Y5 )
=> ( Y3 @ Y5 ) ) )
@ rel
@ ( ^ [Y2: $i > $o,Y3: $i > $o] :
( ^ [Y4: $i > $o,Y5: $i > $o,Y6: $i] :
( ( Y4 @ Y6 )
| ( Y5 @ Y6 ) )
@ ( ^ [Y4: $i > $o,Y5: $i] :
~ ( Y4 @ Y5 )
@ Y2 )
@ Y3 )
@ Y0
@ Y1 ) )
@ ( ^ [Y0: $i > $o] :
( ^ [Y1: $i > $i > $o,Y2: $i > $o,Y3: $i] :
( !! @ $i
@ ^ [Y4: $i] :
( ( Y1 @ Y3 @ Y4 )
=> ( Y2 @ Y4 ) ) )
@ rel
@ Y0 )
@ s )
@ ( ^ [Y0: $i > $o,Y1: $i > $o] :
( ^ [Y2: $i > $i > $o,Y3: $i > $o,Y4: $i] :
( !! @ $i
@ ^ [Y5: $i] :
( ( Y2 @ Y4 @ Y5 )
=> ( Y3 @ Y5 ) ) )
@ rel
@ ( ^ [Y2: $i > $o,Y3: $i > $o,Y4: $i] :
( ( Y2 @ Y4 )
| ( Y3 @ Y4 ) )
@ Y0
@ Y1 ) )
@ ( ^ [Y0: $i > $o] : Y0
@ a )
@ ( ^ [Y0: $i > $o] :
( ^ [Y1: $i > $i > $o,Y2: $i > $o,Y3: $i] :
( !! @ $i
@ ^ [Y4: $i] :
( ( Y1 @ Y3 @ Y4 )
=> ( Y2 @ Y4 ) ) )
@ rel
@ Y0 )
@ s ) ) ) ) ),
inference(definition_unfolding,[],[f95,f107,f103,f100,f106,f85,f100]) ).
thf(f111,plain,
( $true
!= ( !! @ $i
@ ^ [Y0: $i] :
( !! @ $i
@ ^ [Y1: $i] :
( ( rel @ Y0 @ Y1 )
=> ( ~ ( !! @ $i
@ ^ [Y2: $i] :
( ( rel @ Y1 @ Y2 )
=> ( s @ Y2 ) ) )
| ( !! @ $i
@ ^ [Y2: $i] :
( ( rel @ Y1 @ Y2 )
=> ( ( a @ Y2 )
| ( !! @ $i
@ ^ [Y3: $i] :
( ( rel @ Y2 @ Y3 )
=> ( s @ Y3 ) ) ) ) ) ) ) ) ) ) ),
inference(beta-eta_normalization,[],[f110]) ).
thf(f112,plain,
( $false
= ( ^ [Y0: $i] :
( !! @ $i
@ ^ [Y1: $i] :
( ( rel @ Y0 @ Y1 )
=> ( ~ ( !! @ $i
@ ^ [Y2: $i] :
( ( rel @ Y1 @ Y2 )
=> ( s @ Y2 ) ) )
| ( !! @ $i
@ ^ [Y2: $i] :
( ( rel @ Y1 @ Y2 )
=> ( ( a @ Y2 )
| ( !! @ $i
@ ^ [Y3: $i] :
( ( rel @ Y2 @ Y3 )
=> ( s @ Y3 ) ) ) ) ) ) ) ) )
@ sK0 ) ),
inference(sigma_proxy_clausification,[],[f111]) ).
thf(f113,plain,
( $false
= ( !! @ $i
@ ^ [Y0: $i] :
( ( rel @ sK0 @ Y0 )
=> ( ~ ( !! @ $i
@ ^ [Y1: $i] :
( ( rel @ Y0 @ Y1 )
=> ( s @ Y1 ) ) )
| ( !! @ $i
@ ^ [Y1: $i] :
( ( rel @ Y0 @ Y1 )
=> ( ( a @ Y1 )
| ( !! @ $i
@ ^ [Y2: $i] :
( ( rel @ Y1 @ Y2 )
=> ( s @ Y2 ) ) ) ) ) ) ) ) ) ),
inference(beta-eta_normalization,[],[f112]) ).
thf(f114,plain,
( $false
= ( ^ [Y0: $i] :
( ( rel @ sK0 @ Y0 )
=> ( ~ ( !! @ $i
@ ^ [Y1: $i] :
( ( rel @ Y0 @ Y1 )
=> ( s @ Y1 ) ) )
| ( !! @ $i
@ ^ [Y1: $i] :
( ( rel @ Y0 @ Y1 )
=> ( ( a @ Y1 )
| ( !! @ $i
@ ^ [Y2: $i] :
( ( rel @ Y1 @ Y2 )
=> ( s @ Y2 ) ) ) ) ) ) ) )
@ sK1 ) ),
inference(sigma_proxy_clausification,[],[f113]) ).
thf(f115,plain,
( $false
= ( ( rel @ sK0 @ sK1 )
=> ( ~ ( !! @ $i
@ ^ [Y0: $i] :
( ( rel @ sK1 @ Y0 )
=> ( s @ Y0 ) ) )
| ( !! @ $i
@ ^ [Y0: $i] :
( ( rel @ sK1 @ Y0 )
=> ( ( a @ Y0 )
| ( !! @ $i
@ ^ [Y1: $i] :
( ( rel @ Y0 @ Y1 )
=> ( s @ Y1 ) ) ) ) ) ) ) ) ),
inference(beta-eta_normalization,[],[f114]) ).
thf(f116,plain,
( $false
= ( ~ ( !! @ $i
@ ^ [Y0: $i] :
( ( rel @ sK1 @ Y0 )
=> ( s @ Y0 ) ) )
| ( !! @ $i
@ ^ [Y0: $i] :
( ( rel @ sK1 @ Y0 )
=> ( ( a @ Y0 )
| ( !! @ $i
@ ^ [Y1: $i] :
( ( rel @ Y0 @ Y1 )
=> ( s @ Y1 ) ) ) ) ) ) ) ),
inference(imp_proxy_clausification,[],[f115]) ).
thf(f118,plain,
( $false
= ( !! @ $i
@ ^ [Y0: $i] :
( ( rel @ sK1 @ Y0 )
=> ( ( a @ Y0 )
| ( !! @ $i
@ ^ [Y1: $i] :
( ( rel @ Y0 @ Y1 )
=> ( s @ Y1 ) ) ) ) ) ) ),
inference(or_proxy_clausification,[],[f116]) ).
thf(f119,plain,
( $false
= ( ~ ( !! @ $i
@ ^ [Y0: $i] :
( ( rel @ sK1 @ Y0 )
=> ( s @ Y0 ) ) ) ) ),
inference(or_proxy_clausification,[],[f116]) ).
thf(f120,plain,
( $true
= ( !! @ $i
@ ^ [Y0: $i] :
( ( rel @ sK1 @ Y0 )
=> ( s @ Y0 ) ) ) ),
inference(not_proxy_clausification,[],[f119]) ).
thf(f121,plain,
! [X1: $i] :
( $true
= ( ^ [Y0: $i] :
( ( rel @ sK1 @ Y0 )
=> ( s @ Y0 ) )
@ X1 ) ),
inference(pi_proxy_clausification,[],[f120]) ).
thf(f122,plain,
! [X1: $i] :
( $true
= ( ( rel @ sK1 @ X1 )
=> ( s @ X1 ) ) ),
inference(beta-eta_normalization,[],[f121]) ).
thf(f123,plain,
! [X1: $i] :
( ( $false
= ( rel @ sK1 @ X1 ) )
| ( $true
= ( s @ X1 ) ) ),
inference(imp_proxy_clausification,[],[f122]) ).
thf(f124,plain,
( $false
= ( ^ [Y0: $i] :
( ( rel @ sK1 @ Y0 )
=> ( ( a @ Y0 )
| ( !! @ $i
@ ^ [Y1: $i] :
( ( rel @ Y0 @ Y1 )
=> ( s @ Y1 ) ) ) ) )
@ sK2 ) ),
inference(sigma_proxy_clausification,[],[f118]) ).
thf(f125,plain,
( $false
= ( ( rel @ sK1 @ sK2 )
=> ( ( a @ sK2 )
| ( !! @ $i
@ ^ [Y0: $i] :
( ( rel @ sK2 @ Y0 )
=> ( s @ Y0 ) ) ) ) ) ),
inference(beta-eta_normalization,[],[f124]) ).
thf(f126,plain,
( $false
= ( ( a @ sK2 )
| ( !! @ $i
@ ^ [Y0: $i] :
( ( rel @ sK2 @ Y0 )
=> ( s @ Y0 ) ) ) ) ),
inference(imp_proxy_clausification,[],[f125]) ).
thf(f127,plain,
( $true
= ( rel @ sK1 @ sK2 ) ),
inference(imp_proxy_clausification,[],[f125]) ).
thf(f128,plain,
( $false
= ( !! @ $i
@ ^ [Y0: $i] :
( ( rel @ sK2 @ Y0 )
=> ( s @ Y0 ) ) ) ),
inference(or_proxy_clausification,[],[f126]) ).
thf(f130,plain,
( $false
= ( ^ [Y0: $i] :
( ( rel @ sK2 @ Y0 )
=> ( s @ Y0 ) )
@ sK3 ) ),
inference(sigma_proxy_clausification,[],[f128]) ).
thf(f131,plain,
( $false
= ( ( rel @ sK2 @ sK3 )
=> ( s @ sK3 ) ) ),
inference(beta-eta_normalization,[],[f130]) ).
thf(f132,plain,
( $false
= ( s @ sK3 ) ),
inference(imp_proxy_clausification,[],[f131]) ).
thf(f133,plain,
( $true
= ( rel @ sK2 @ sK3 ) ),
inference(imp_proxy_clausification,[],[f131]) ).
thf(f134,plain,
! [X0: $i > $o] :
( $true
= ( !! @ $i
@ ^ [Y0: $i] :
( ~ ( !! @ $i
@ ^ [Y1: $i] :
( ( rel @ Y0 @ Y1 )
=> ( X0 @ Y1 ) ) )
| ( !! @ $i
@ ^ [Y1: $i] :
( ( rel @ Y0 @ Y1 )
=> ( !! @ $i
@ ^ [Y2: $i] :
( ( rel @ Y1 @ Y2 )
=> ( X0 @ Y2 ) ) ) ) ) ) ) ),
inference(beta-eta_normalization,[],[f109]) ).
thf(f135,plain,
! [X0: $i > $o,X1: $i] :
( $true
= ( ^ [Y0: $i] :
( ~ ( !! @ $i
@ ^ [Y1: $i] :
( ( rel @ Y0 @ Y1 )
=> ( X0 @ Y1 ) ) )
| ( !! @ $i
@ ^ [Y1: $i] :
( ( rel @ Y0 @ Y1 )
=> ( !! @ $i
@ ^ [Y2: $i] :
( ( rel @ Y1 @ Y2 )
=> ( X0 @ Y2 ) ) ) ) ) )
@ X1 ) ),
inference(pi_proxy_clausification,[],[f134]) ).
thf(f136,plain,
! [X0: $i > $o,X1: $i] :
( $true
= ( ~ ( !! @ $i
@ ^ [Y0: $i] :
( ( rel @ X1 @ Y0 )
=> ( X0 @ Y0 ) ) )
| ( !! @ $i
@ ^ [Y0: $i] :
( ( rel @ X1 @ Y0 )
=> ( !! @ $i
@ ^ [Y1: $i] :
( ( rel @ Y0 @ Y1 )
=> ( X0 @ Y1 ) ) ) ) ) ) ),
inference(beta-eta_normalization,[],[f135]) ).
thf(f137,plain,
! [X0: $i > $o,X1: $i] :
( ( $true
= ( !! @ $i
@ ^ [Y0: $i] :
( ( rel @ X1 @ Y0 )
=> ( !! @ $i
@ ^ [Y1: $i] :
( ( rel @ Y0 @ Y1 )
=> ( X0 @ Y1 ) ) ) ) ) )
| ( $true
= ( ~ ( !! @ $i
@ ^ [Y0: $i] :
( ( rel @ X1 @ Y0 )
=> ( X0 @ Y0 ) ) ) ) ) ),
inference(or_proxy_clausification,[],[f136]) ).
thf(f138,plain,
! [X2: $i,X0: $i > $o,X1: $i] :
( ( $true
= ( ^ [Y0: $i] :
( ( rel @ X1 @ Y0 )
=> ( !! @ $i
@ ^ [Y1: $i] :
( ( rel @ Y0 @ Y1 )
=> ( X0 @ Y1 ) ) ) )
@ X2 ) )
| ( $true
= ( ~ ( !! @ $i
@ ^ [Y0: $i] :
( ( rel @ X1 @ Y0 )
=> ( X0 @ Y0 ) ) ) ) ) ),
inference(pi_proxy_clausification,[],[f137]) ).
thf(f139,plain,
! [X2: $i,X0: $i > $o,X1: $i] :
( ( $true
= ( ^ [Y0: $i] :
( ( rel @ X1 @ Y0 )
=> ( !! @ $i
@ ^ [Y1: $i] :
( ( rel @ Y0 @ Y1 )
=> ( X0 @ Y1 ) ) ) )
@ X2 ) )
| ( $false
= ( !! @ $i
@ ^ [Y0: $i] :
( ( rel @ X1 @ Y0 )
=> ( X0 @ Y0 ) ) ) ) ),
inference(not_proxy_clausification,[],[f138]) ).
thf(f140,plain,
! [X2: $i,X0: $i > $o,X1: $i] :
( ( $true
= ( ^ [Y0: $i] :
( ( rel @ X1 @ Y0 )
=> ( !! @ $i
@ ^ [Y1: $i] :
( ( rel @ Y0 @ Y1 )
=> ( X0 @ Y1 ) ) ) )
@ X2 ) )
| ( $false
= ( ^ [Y0: $i] :
( ( rel @ X1 @ Y0 )
=> ( X0 @ Y0 ) )
@ ( sK4 @ X1 @ X0 ) ) ) ),
inference(sigma_proxy_clausification,[],[f139]) ).
thf(f141,plain,
! [X2: $i,X0: $i > $o,X1: $i] :
( ( $true
= ( ( rel @ X1 @ X2 )
=> ( !! @ $i
@ ^ [Y0: $i] :
( ( rel @ X2 @ Y0 )
=> ( X0 @ Y0 ) ) ) ) )
| ( $false
= ( ( rel @ X1 @ ( sK4 @ X1 @ X0 ) )
=> ( X0 @ ( sK4 @ X1 @ X0 ) ) ) ) ),
inference(beta-eta_normalization,[],[f140]) ).
thf(f142,plain,
! [X2: $i,X0: $i > $o,X1: $i] :
( ( $false
= ( rel @ X1 @ X2 ) )
| ( $false
= ( ( rel @ X1 @ ( sK4 @ X1 @ X0 ) )
=> ( X0 @ ( sK4 @ X1 @ X0 ) ) ) )
| ( $true
= ( !! @ $i
@ ^ [Y0: $i] :
( ( rel @ X2 @ Y0 )
=> ( X0 @ Y0 ) ) ) ) ),
inference(imp_proxy_clausification,[],[f141]) ).
thf(f143,plain,
! [X2: $i,X0: $i > $o,X1: $i] :
( ( $false
= ( rel @ X1 @ X2 ) )
| ( $false
= ( X0 @ ( sK4 @ X1 @ X0 ) ) )
| ( $true
= ( !! @ $i
@ ^ [Y0: $i] :
( ( rel @ X2 @ Y0 )
=> ( X0 @ Y0 ) ) ) ) ),
inference(imp_proxy_clausification,[],[f142]) ).
thf(f144,plain,
! [X2: $i,X0: $i > $o,X1: $i] :
( ( $false
= ( rel @ X1 @ X2 ) )
| ( $true
= ( rel @ X1 @ ( sK4 @ X1 @ X0 ) ) )
| ( $true
= ( !! @ $i
@ ^ [Y0: $i] :
( ( rel @ X2 @ Y0 )
=> ( X0 @ Y0 ) ) ) ) ),
inference(imp_proxy_clausification,[],[f142]) ).
thf(f145,plain,
! [X2: $i,X3: $i,X0: $i > $o,X1: $i] :
( ( $false
= ( rel @ X1 @ X2 ) )
| ( $true
= ( rel @ X1 @ ( sK4 @ X1 @ X0 ) ) )
| ( $true
= ( ^ [Y0: $i] :
( ( rel @ X2 @ Y0 )
=> ( X0 @ Y0 ) )
@ X3 ) ) ),
inference(pi_proxy_clausification,[],[f144]) ).
thf(f146,plain,
! [X2: $i,X3: $i,X0: $i > $o,X1: $i] :
( ( $false
= ( rel @ X1 @ X2 ) )
| ( $true
= ( rel @ X1 @ ( sK4 @ X1 @ X0 ) ) )
| ( $true
= ( ( rel @ X2 @ X3 )
=> ( X0 @ X3 ) ) ) ),
inference(beta-eta_normalization,[],[f145]) ).
thf(f147,plain,
! [X2: $i,X3: $i,X0: $i > $o,X1: $i] :
( ( $false
= ( rel @ X1 @ X2 ) )
| ( $true
= ( rel @ X1 @ ( sK4 @ X1 @ X0 ) ) )
| ( $false
= ( rel @ X2 @ X3 ) )
| ( $true
= ( X0 @ X3 ) ) ),
inference(imp_proxy_clausification,[],[f146]) ).
thf(f148,plain,
! [X2: $i,X3: $i,X0: $i > $o,X1: $i] :
( ( $false
= ( rel @ X1 @ X2 ) )
| ( $false
= ( X0 @ ( sK4 @ X1 @ X0 ) ) )
| ( $true
= ( ^ [Y0: $i] :
( ( rel @ X2 @ Y0 )
=> ( X0 @ Y0 ) )
@ X3 ) ) ),
inference(pi_proxy_clausification,[],[f143]) ).
thf(f149,plain,
! [X2: $i,X3: $i,X0: $i > $o,X1: $i] :
( ( $false
= ( rel @ X1 @ X2 ) )
| ( $false
= ( X0 @ ( sK4 @ X1 @ X0 ) ) )
| ( $true
= ( ( rel @ X2 @ X3 )
=> ( X0 @ X3 ) ) ) ),
inference(beta-eta_normalization,[],[f148]) ).
thf(f150,plain,
! [X2: $i,X3: $i,X0: $i > $o,X1: $i] :
( ( $false
= ( rel @ X1 @ X2 ) )
| ( $false
= ( X0 @ ( sK4 @ X1 @ X0 ) ) )
| ( $false
= ( rel @ X2 @ X3 ) )
| ( $true
= ( X0 @ X3 ) ) ),
inference(imp_proxy_clausification,[],[f149]) ).
thf(f1090,plain,
! [X0: $i > $o,X1: $i] :
( ( $false = $true )
| ( $false
= ( X0 @ ( sK4 @ sK1 @ X0 ) ) )
| ( $false
= ( rel @ sK2 @ X1 ) )
| ( ( X0 @ X1 )
= $true ) ),
inference(constrained_superposition,[],[f127,f150]) ).
thf(f1280,plain,
! [X0: $i > $o,X1: $i] :
( ( $false
= ( X0 @ ( sK4 @ sK1 @ X0 ) ) )
| ( $false
= ( rel @ sK2 @ X1 ) )
| ( ( X0 @ X1 )
= $true ) ),
inference(trivial_inequality_removal,[],[f1090]) ).
thf(f4206,plain,
! [X0: $i > $o] :
( ( $false = $true )
| ( $false
= ( X0 @ ( sK4 @ sK1 @ X0 ) ) )
| ( $true
= ( X0 @ sK3 ) ) ),
inference(constrained_superposition,[],[f133,f1280]) ).
thf(f4370,plain,
! [X0: $i > $o] :
( ( $false
= ( X0 @ ( sK4 @ sK1 @ X0 ) ) )
| ( $true
= ( X0 @ sK3 ) ) ),
inference(trivial_inequality_removal,[],[f4206]) ).
thf(f4874,plain,
( sK3
= ( sK4 @ sK1
@ ^ [Y0: $i] : ( Y0 != sK3 ) ) ),
inference(leibniz_equality_elimination,[],[f4370]) ).
thf(f5270,plain,
! [X0: $i,X1: $i] :
( ( $true
= ( rel @ sK1 @ sK3 ) )
| ( $false
= ( rel @ sK1 @ X0 ) )
| ( $false
= ( rel @ X0 @ X1 ) )
| ( $true
= ( ^ [Y0: $i] : ( Y0 != sK3 )
@ X1 ) ) ),
inference(constrained_superposition,[],[f147,f4874]) ).
thf(f5283,plain,
! [X0: $i,X1: $i] :
( ( $true
= ( rel @ sK1 @ sK3 ) )
| ( $false
= ( rel @ sK1 @ X0 ) )
| ( $false
= ( rel @ X0 @ X1 ) )
| ( $true
= ( X1 != sK3 ) ) ),
inference(beta-eta_normalization,[],[f5270]) ).
thf(f5284,plain,
! [X0: $i,X1: $i] :
( ( $true
= ( rel @ sK1 @ sK3 ) )
| ( $false
= ( rel @ sK1 @ X0 ) )
| ( $false
= ( rel @ X0 @ X1 ) )
| ( $false
= ( X1 = sK3 ) ) ),
inference(not_proxy_clausification,[],[f5283]) ).
thf(f5285,plain,
! [X0: $i,X1: $i] :
( ( $true
= ( rel @ sK1 @ sK3 ) )
| ( $false
= ( rel @ sK1 @ X0 ) )
| ( $false
= ( rel @ X0 @ X1 ) )
| ( sK3 != X1 ) ),
inference(equality_proxy_clausification,[],[f5284]) ).
thf(f5336,definition,
( spl6_36
<=> ! [X0: $i,X1: $i] :
( ( $false
= ( rel @ sK1 @ X0 ) )
| ( sK3 != X1 )
| ( $false
= ( rel @ X0 @ X1 ) ) ) ),
introduced(definition,[new_symbols(definition,[spl6_36])],[avatar_definition]) ).
thf(f5337,plain,
( ! [X0: $i,X1: $i] :
( ( sK3 != X1 )
| ( $false
= ( rel @ sK1 @ X0 ) )
| ( $false
= ( rel @ X0 @ X1 ) ) )
| ~ spl6_36 ),
inference(avatar_component_clause,[],[f5336]) ).
thf(f5339,definition,
( spl6_37
<=> ( $true
= ( rel @ sK1 @ sK3 ) ) ),
introduced(definition,[new_symbols(definition,[spl6_37])],[avatar_definition]) ).
thf(f5341,plain,
( ( $true
= ( rel @ sK1 @ sK3 ) )
| ~ spl6_37 ),
inference(avatar_component_clause,[],[f5339]) ).
thf(f5342,plain,
( spl6_36
| spl6_37 ),
inference(avatar_split_clause,[],[f5285,f5339,f5336]) ).
thf(f5354,plain,
( ( $false = $true )
| ( $true
= ( s @ sK3 ) )
| ~ spl6_37 ),
inference(constrained_superposition,[],[f5341,f123]) ).
thf(f5429,plain,
( ( $true
= ( s @ sK3 ) )
| ~ spl6_37 ),
inference(trivial_inequality_removal,[],[f5354]) ).
thf(f5454,plain,
( ( $false = $true )
| ~ spl6_37 ),
inference(forward_demodulation,[],[f5429,f132]) ).
thf(f5455,plain,
( $false
| ~ spl6_37 ),
inference(trivial_inequality_removal,[],[f5454]) ).
thf(f5456,plain,
~ spl6_37,
inference(avatar_contradiction_clause,[],[f5455]) ).
thf(f5599,plain,
( ! [X0: $i] :
( ( $false
= ( rel @ sK1 @ X0 ) )
| ( $false
= ( rel @ X0 @ sK3 ) ) )
| ~ spl6_36 ),
inference(equality_resolution,[],[f5337]) ).
thf(f5668,plain,
( ( $false = $true )
| ( $false
= ( rel @ sK1 @ sK2 ) )
| ~ spl6_36 ),
inference(constrained_superposition,[],[f133,f5599]) ).
thf(f5670,plain,
( ( $false
= ( rel @ sK1 @ sK2 ) )
| ~ spl6_36 ),
inference(trivial_inequality_removal,[],[f5668]) ).
thf(f5794,plain,
( ( $false = $true )
| ~ spl6_36 ),
inference(constrained_superposition,[],[f5670,f127]) ).
thf(f5851,plain,
( $false
| ~ spl6_36 ),
inference(trivial_inequality_removal,[],[f5794]) ).
thf(f5852,plain,
~ spl6_36,
inference(avatar_contradiction_clause,[],[f5851]) ).
cnf(s39,plain,
( spl6_36
| spl6_37 ),
inference(sat_conversion,[],[f5342]) ).
cnf(s41,plain,
~ spl6_37,
inference(sat_conversion,[],[f5456]) ).
cnf(s43,plain,
~ spl6_36,
inference(sat_conversion,[],[f5852]) ).
cnf(s44,plain,
$false,
inference(rat,[],[s39,s41,s43]) ).
thf(f5873,plain,
$false,
inference(avatar_sat_refutation,[],[s44]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.04 % Problem : SWV425^2 : TPTP v9.3.1. Released v3.6.0.
% 0.00/0.08 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.13/0.27 % Computer : n010.cluster.edu
% 0.13/0.27 % Model : x86_64 x86_64
% 0.13/0.27 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.27 % Memory : 8046.5625MB
% 0.13/0.27 % OS : Linux 6.8.0-71-generic
% 0.13/0.27 % CPULimit : 300
% 0.13/0.27 % WCLimit : 300
% 0.13/0.27 % DateTime : Tue Sep 29 16:02:19 UTC 2026
% 0.13/0.27 % CPUTime :
% 0.13/0.27 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.28/0.32 Running first-order model finding
% 0.28/0.32 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
% 2.42/0.71 % (3043879)Will run a generic schedule for satisfiability detection.
% 2.42/0.71 % (3043886)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=3324747877_2999 on theBenchmark for (2999ds/0Mi)
% 2.42/0.71 % Exception at run slice level
% 2.42/0.71 User error: Finite model building is currently not compatible with polymorphism or higher-order constructs
% 2.42/0.71 % (3043887)% WARNING: option uhcvi not known.
% 2.42/0.71 % (3043887)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=953501607:i=135531:add=off:rawr=on_2999 on theBenchmark for (2999ds/135531Mi)
% 2.42/0.71 % (3043889)dis+10_1_sil=32000:sp=arity:random_seed=4032155868:i=103:fgj=on_2999 on theBenchmark for (2999ds/103Mi)
% 2.42/0.71 % (3043887)WARNING: Not using 'newcnf' as currently not compatible with higher-order inputs.
% 2.42/0.71 % (3043890)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=2343828109:i=116_2999 on theBenchmark for (2999ds/116Mi)
% 2.42/0.71 % (3043891)ott+1_1_to=lpo:sil=16000:sp=reverse_arity:erd=off:random_seed=1943344195:i=131_2999 on theBenchmark for (2999ds/131Mi)
% 2.42/0.71 % (3043888)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=3377903238:i=88024:add=on:rawr=on_2999 on theBenchmark for (2999ds/88024Mi)
% 2.42/0.71 % (3043892)ott-3_16_to=lpo:sil=16000:sp=arity:fd=off:rp=on:random_seed=2033166765:i=159:bs=unit_only:nicw=on:fsr=off:amm=off_2999 on theBenchmark for (2999ds/159Mi)
% 2.42/0.71 % (3043887)WARNING: Look ahead literal selection is not currently compatible with higher-order. Ignoring request to use
% 2.42/0.71 % (3043890)WARNING: Not using 'newcnf' as currently not compatible with higher-order inputs.
% 2.42/0.71 % (3043894)fmb+10_1_fmbas=predicate:sil=64000:sas=cadical:random_seed=553410885:i=714:nm=2_2999 on theBenchmark for (2999ds/714Mi)
% 2.42/0.71 % Exception at run slice level
% 2.42/0.71 User error: Finite model building is currently not compatible with polymorphism or higher-order constructs
% 2.42/0.71 % (3043904)ott+32_1_sil=16000:bsd=on:sp=const_max:bce=on:random_seed=2805403487:i=131:bd=preordered:fsd=on_2999 on theBenchmark for (2999ds/131Mi)
% 2.42/0.71 % (3043889)Instruction limit reached!
% 2.42/0.71 % (3043889)------------------------------
% 2.42/0.71 % (3043889)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.42/0.71 % (3043889)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.42/0.71 % (3043889)CaDiCaL version: 2.1.3
% 2.42/0.71 % (3043889)Termination reason: Instruction limit
% 2.42/0.71 % (3043889)Termination phase: Saturation
% 2.42/0.71 % (3043889)Time elapsed: 0.089 s
% 2.42/0.71 % (3043889)Peak memory usage: 12 MB
% 2.42/0.71 % (3043889)Instructions burned: 104 (million)
% 2.42/0.71 % (3043904)Instruction limit reached!
% 2.42/0.71 % (3043904)------------------------------
% 2.42/0.71 % (3043904)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.42/0.71 % (3043904)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.42/0.71 % (3043904)CaDiCaL version: 2.1.3
% 2.42/0.71 % (3043904)Termination reason: Instruction limit
% 2.42/0.71 % (3043904)Termination phase: Saturation
% 2.42/0.71 % (3043904)Time elapsed: 0.062 s
% 2.42/0.71 % (3043904)Peak memory usage: 13 MB
% 2.42/0.71 % (3043904)Instructions burned: 132 (million)
% 2.42/0.71 % (3043890)Instruction limit reached!
% 2.42/0.71 % (3043890)------------------------------
% 2.42/0.71 % (3043890)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.42/0.71 % (3043890)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.42/0.71 % (3043890)CaDiCaL version: 2.1.3
% 2.42/0.71 % (3043890)Termination reason: Instruction limit
% 2.42/0.71 % (3043890)Termination phase: Saturation
% 2.42/0.71 % (3043890)Time elapsed: 0.102 s
% 2.42/0.71 % (3043890)Peak memory usage: 13 MB
% 2.42/0.71 % (3043890)Instructions burned: 117 (million)
% 2.42/0.71 % (3043909)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=4070511548:i=684:slsql=off:bs=unit_only:nicw=on:rawr=on_2998 on theBenchmark for (2998ds/684Mi)
% 2.42/0.71 % (3043909)WARNING: Not using 'newcnf' as currently not compatible with higher-order inputs.
% 2.42/0.71 % (3043909)WARNING: Look ahead literal selection is not currently compatible with higher-order. Ignoring request to use
% 2.42/0.71 % (3043891)Instruction limit reached!
% 2.42/0.71 % (3043891)------------------------------
% 2.42/0.71 % (3043891)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.42/0.71 % (3043891)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.42/0.71 % (3043891)CaDiCaL version: 2.1.3
% 2.42/0.71 % (3043891)Termination reason: Instruction limit
% 2.42/0.71 % (3043891)Termination phase: Saturation
% 2.42/0.71 % (3043891)Time elapsed: 0.114 s
% 2.42/0.71 % (3043891)Peak memory usage: 13 MB
% 2.42/0.71 % (3043891)Instructions burned: 131 (million)
% 2.42/0.71 % (3043910)ott-21_1_sil=16000:fs=off:random_seed=2607806487:i=180:av=off:fsr=off_2998 on theBenchmark for (2998ds/180Mi)
% 2.42/0.71 % (3043911)dis+10_4_sil=64000:sp=reverse_arity:bsr=on:sac=on:cn=on:random_seed=215207996:i=477:bd=all_2998 on theBenchmark for (2998ds/477Mi)
% 2.42/0.71 % (3043892)Instruction limit reached!
% 2.42/0.71 % (3043892)------------------------------
% 2.42/0.71 % (3043892)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.42/0.71 % (3043892)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.42/0.71 % (3043892)CaDiCaL version: 2.1.3
% 2.42/0.71 % (3043892)Termination reason: Instruction limit
% 2.42/0.71 % (3043892)Termination phase: Saturation
% 2.42/0.71 % (3043892)Time elapsed: 0.140 s
% 2.42/0.71 % (3043892)Peak memory usage: 13 MB
% 2.42/0.71 % (3043892)Instructions burned: 160 (million)
% 2.42/0.71 % (3043913)fmb+10_1_sil=64000:erd=off:updr=off:random_seed=1516842707:fmbsr=1.3:i=865:ins=25_2998 on theBenchmark for (2998ds/865Mi)
% 2.42/0.71 % Exception at run slice level
% 2.42/0.71 User error: Finite model building is currently not compatible with polymorphism or higher-order constructs
% 2.42/0.71 % (3043916)ott+10_1_to=lpo:sil=64000:tgt=full:sp=arity:spb=goal_then_units:random_seed=2209679765:i=1179_2998 on theBenchmark for (2998ds/1179Mi)
% 2.42/0.71 % (3043918)fmb+10_1_sil=64000:erd=off:fmbss=14:random_seed=2162023893:i=889:ins=1_2998 on theBenchmark for (2998ds/889Mi)
% 2.42/0.71 % Exception at run slice level
% 2.42/0.71 User error: Finite model building is currently not compatible with polymorphism or higher-order constructs
% 2.42/0.71 % (3043921)ott+1_16_sil=32000:plsq=on:plsqc=2:sas=cadical:avsql=on:sp=reverse_frequency:plsqr=128,1:bsr=unit_only:rp=on:newcnf=on:random_seed=499976329:avsq=on:s2a=on:i=692:avsqr=8,1:kws=arity_squared:bs=unit_only:nm=2:rawr=on_2997 on theBenchmark for (2997ds/692Mi)
% 2.42/0.71 % (3043921)WARNING: Not using 'newcnf' as currently not compatible with higher-order inputs.
% 2.42/0.71 % (3043910)Instruction limit reached!
% 2.42/0.71 % (3043910)------------------------------
% 2.42/0.71 % (3043910)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.42/0.71 % (3043910)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.42/0.71 % (3043910)CaDiCaL version: 2.1.3
% 2.42/0.71 % (3043910)Termination reason: Instruction limit
% 2.42/0.71 % (3043910)Termination phase: Saturation
% 2.42/0.71 % (3043910)Time elapsed: 0.153 s
% 2.42/0.71 % (3043910)Peak memory usage: 12 MB
% 2.42/0.71 % (3043910)Instructions burned: 180 (million)
% 2.42/0.71 % (3043925)dis-10_1_anc=none:sil=64000:spb=goal:newcnf=on:cn=on:random_seed=2339117402:i=879:kws=inv_precedence:fsr=off_2996 on theBenchmark for (2996ds/879Mi)
% 2.42/0.71 % (3043925)WARNING: Not using 'newcnf' as currently not compatible with higher-order inputs.
% 2.42/0.71 % (3043909) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-3043879-3043909"...
% 2.42/0.71 % (3043909)...printing done.
% 2.42/0.71 % (3043909)Refutation found. Thanks to Tanya!
% 2.42/0.71 % SZS status Theorem for theBenchmark
% 2.42/0.71 % SZS output start Proof for theBenchmark
% See solution above
% 2.42/0.71 % (3043909)------------------------------
% 2.42/0.71 % (3043909)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.42/0.71 % (3043909)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.42/0.71 % (3043909)CaDiCaL version: 2.1.3
% 2.42/0.71 % (3043909)Termination reason: Refutation
% 2.42/0.71 % (3043909)Time elapsed: 0.228 s
% 2.42/0.71 % (3043909)Peak memory usage: 15 MB
% 2.42/0.71 % (3043909)Instructions burned: 513 (million)
% 2.42/0.71 % (3043879)Success in time 0.38 s
% 2.42/0.71 % Vampire exiting
%------------------------------------------------------------------------------