%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : SWV430^2 : 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 : n017.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 08:40:05 AM UTC 2026
% Result : Theorem 125.22s 18.01s
% Output : Refutation 125.22s
% Verified :
% SZS Type : Refutation
% Derivation depth : 38
% Number of leaves : 12
% Syntax : Number of formulae : 129 ( 79 unt; 0 typ; 1 def)
% Number of atoms : 1116 ( 231 equ; 0 cnn)
% Maximal formula atoms : 18 ( 8 avg)
% Number of connectives : 1487 ( 105 ~; 187 |; 0 &;1016 @)
% ( 1 <=>; 97 =>; 0 <=; 0 <~>)
% Maximal formula depth : 11 ( 3 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of types : 3 ( 1 usr)
% Number of type conns : 176 ( 176 >; 0 *; 0 +; 0 <<)
% Number of symbols : 62 ( 58 usr; 8 con; 0-4 aty)
% ( 81 !!; 0 ??; 0 @@+; 0 @@-)
% Number of variables : 389 ( 0 sgn 115 !; 0 ?; 389 :)
% 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,
icl_impl_princ: ( $i > $o ) > ( $i > $o ) > $i > $o ).
thf(func_def_31,type,
a: $i > $o ).
thf(func_def_32,type,
b: $i > $o ).
thf(func_def_33,type,
c: $i > $o ).
thf(func_def_36,type,
vLAM:
!>[X0: $tType,X1: $tType] : ( X1 > X0 > X1 ) ).
thf(func_def_37,type,
vNOT: $o > $o ).
thf(func_def_38,type,
db1:
!>[X0: $tType] : X0 ).
thf(func_def_39,type,
db0:
!>[X0: $tType] : X0 ).
thf(func_def_40,type,
vOR: $o > $o > $o ).
thf(func_def_41,type,
db2:
!>[X0: $tType] : X0 ).
thf(func_def_42,type,
vAND: $o > $o > $o ).
thf(func_def_43,type,
vPI:
!>[X0: $tType] : ( ( X0 > $o ) > $o ) ).
thf(func_def_44,type,
vIMP: $o > $o > $o ).
thf(func_def_45,type,
db3:
!>[X0: $tType] : X0 ).
thf(func_def_46,type,
vSIGMA:
!>[X0: $tType] : ( ( X0 > $o ) > $o ) ).
thf(func_def_51,type,
sK4: $i > ( $i > $o ) > $i ).
thf(func_def_52,type,
sK5: $i > ( $i > $o ) > $i ).
thf(func_def_54,type,
vEQ:
!>[X0: $tType] : ( X0 > X0 > $o ) ).
thf(func_def_55,type,
sK7: ( $i > $o ) > $i ).
thf(func_def_56,type,
sK8: ( $i > $o ) > $i ).
thf(func_def_57,type,
sK9: ( $i > $o ) > $i ).
thf(func_def_58,type,
sK10: $i > ( $i > $i > $o ) > $i ).
thf(func_def_59,type,
sK11: $i > ( $i > $i > $o ) > $i ).
thf(func_def_60,type,
sK12: $i > ( $i > $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(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(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,axiom,
( icl_impl_princ
= ( ^ [X0: $i > $o,X1: $i > $o] : ( mbox @ rel @ ( mimpl @ X0 @ X1 ) ) ) ),
file('/export/starexec/sandbox/benchmark/Axioms/SWV008^2.ax',icl_impl_princ) ).
thf(f28,conjecture,
iclval @ ( icl_impl @ ( icl_impl_princ @ ( icl_princ @ a ) @ ( icl_princ @ b ) ) @ ( icl_impl @ ( icl_impl_princ @ ( icl_princ @ b ) @ ( icl_princ @ c ) ) @ ( icl_impl_princ @ ( icl_princ @ a ) @ ( icl_princ @ c ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',trans) ).
thf(f29,negated_conjecture,
~ ( iclval @ ( icl_impl @ ( icl_impl_princ @ ( icl_princ @ a ) @ ( icl_princ @ b ) ) @ ( icl_impl @ ( icl_impl_princ @ ( icl_princ @ b ) @ ( icl_princ @ c ) ) @ ( icl_impl_princ @ ( icl_princ @ a ) @ ( icl_princ @ c ) ) ) ) ),
inference(negated_conjecture,[status(cth)],[f28]) ).
thf(f32,plain,
( mnot
= ( ^ [X0: $i > $o,X1: $i] :
~ ( X0 @ X1 ) ) ),
inference(rectify,[],[f3]) ).
thf(f33,plain,
( mnot
= ( ^ [Y0: $i > $o,Y1: $i] :
~ ( Y0 @ Y1 ) ) ),
inference(fool_elimination,[],[f32]) ).
thf(f34,plain,
( mor
= ( ^ [X0: $i > $o,X1: $i > $o,X2: $i] :
( ( X1 @ X2 )
| ( X0 @ X2 ) ) ) ),
inference(rectify,[],[f4]) ).
thf(f35,plain,
( mor
= ( ^ [Y0: $i > $o,Y1: $i > $o,Y2: $i] :
( ( Y0 @ Y2 )
| ( Y1 @ Y2 ) ) ) ),
inference(fool_elimination,[],[f34]) ).
thf(f38,plain,
( mimpl
= ( ^ [Y0: $i > $o,Y1: $i > $o] : ( mor @ ( mnot @ Y0 ) @ Y1 ) ) ),
inference(fool_elimination,[],[f6]) ).
thf(f40,plain,
( mbox
= ( ^ [X0: $i > $i > $o,X1: $i > $o,X2: $i] :
! [X3: $i] :
( ( X0 @ X2 @ X3 )
=> ( X1 @ X3 ) ) ) ),
inference(rectify,[],[f8]) ).
thf(f41,plain,
( mbox
= ( ^ [Y0: $i > $i > $o,Y1: $i > $o,Y2: $i] :
( !! @ $i
@ ^ [Y3: $i] :
( ( Y0 @ Y2 @ Y3 )
=> ( Y1 @ Y3 ) ) ) ) ),
inference(fool_elimination,[],[f40]) ).
thf(f48,plain,
( mvalid
= ( ^ [X0: $i > $o] :
! [X1: $i] : ( X0 @ X1 ) ) ),
inference(rectify,[],[f12]) ).
thf(f49,plain,
( mvalid
= ( ^ [Y0: $i > $o] :
( !! @ $i
@ ^ [Y1: $i] : ( Y0 @ Y1 ) ) ) ),
inference(fool_elimination,[],[f48]) ).
thf(f57,plain,
( icl_princ
= ( ^ [Y0: $i > $o] : Y0 ) ),
inference(fool_elimination,[],[f17]) ).
thf(f60,plain,
( icl_impl
= ( ^ [Y0: $i > $o,Y1: $i > $o] : ( mbox @ rel @ ( mimpl @ Y0 @ Y1 ) ) ) ),
inference(fool_elimination,[],[f20]) ).
thf(f62,plain,
( iclval
= ( ^ [Y0: $i > $o] : ( mvalid @ Y0 ) ) ),
inference(fool_elimination,[],[f24]) ).
thf(f65,plain,
! [X0: $i > $o] : ( mvalid @ ( mimpl @ ( mbox @ rel @ X0 ) @ ( mbox @ rel @ ( mbox @ rel @ X0 ) ) ) ),
inference(rectify,[],[f26]) ).
thf(f66,plain,
! [X0: $i > $o] :
( ( mvalid @ ( mimpl @ ( mbox @ rel @ X0 ) @ ( mbox @ rel @ ( mbox @ rel @ X0 ) ) ) )
= $true ),
inference(fool_elimination,[],[f65]) ).
thf(f67,plain,
( icl_impl_princ
= ( ^ [Y0: $i > $o,Y1: $i > $o] : ( mbox @ rel @ ( mimpl @ Y0 @ Y1 ) ) ) ),
inference(fool_elimination,[],[f27]) ).
thf(f68,plain,
~ ( iclval @ ( icl_impl @ ( icl_impl_princ @ ( icl_princ @ a ) @ ( icl_princ @ b ) ) @ ( icl_impl @ ( icl_impl_princ @ ( icl_princ @ b ) @ ( icl_princ @ c ) ) @ ( icl_impl_princ @ ( icl_princ @ a ) @ ( icl_princ @ c ) ) ) ) ),
inference(rectify,[],[f29]) ).
thf(f69,plain,
( ( iclval @ ( icl_impl @ ( icl_impl_princ @ ( icl_princ @ a ) @ ( icl_princ @ b ) ) @ ( icl_impl @ ( icl_impl_princ @ ( icl_princ @ b ) @ ( icl_princ @ c ) ) @ ( icl_impl_princ @ ( icl_princ @ a ) @ ( icl_princ @ c ) ) ) ) )
!= $true ),
inference(fool_elimination,[],[f68]) ).
thf(f70,plain,
( ( iclval @ ( icl_impl @ ( icl_impl_princ @ ( icl_princ @ a ) @ ( icl_princ @ b ) ) @ ( icl_impl @ ( icl_impl_princ @ ( icl_princ @ b ) @ ( icl_princ @ c ) ) @ ( icl_impl_princ @ ( icl_princ @ a ) @ ( icl_princ @ c ) ) ) ) )
!= $true ),
inference(flattening,[],[f69]) ).
thf(f73,plain,
( mnot
= ( ^ [Y0: $i > $o,Y1: $i] :
~ ( Y0 @ Y1 ) ) ),
inference(cnf_transformation,[],[f33]) ).
thf(f74,plain,
( mor
= ( ^ [Y0: $i > $o,Y1: $i > $o,Y2: $i] :
( ( Y0 @ Y2 )
| ( Y1 @ Y2 ) ) ) ),
inference(cnf_transformation,[],[f35]) ).
thf(f76,plain,
( mimpl
= ( ^ [Y0: $i > $o,Y1: $i > $o] : ( mor @ ( mnot @ Y0 ) @ Y1 ) ) ),
inference(cnf_transformation,[],[f38]) ).
thf(f78,plain,
( mbox
= ( ^ [Y0: $i > $i > $o,Y1: $i > $o,Y2: $i] :
( !! @ $i
@ ^ [Y3: $i] :
( ( Y0 @ Y2 @ Y3 )
=> ( Y1 @ Y3 ) ) ) ) ),
inference(cnf_transformation,[],[f41]) ).
thf(f82,plain,
( mvalid
= ( ^ [Y0: $i > $o] :
( !! @ $i
@ ^ [Y1: $i] : ( Y0 @ Y1 ) ) ) ),
inference(cnf_transformation,[],[f49]) ).
thf(f87,plain,
( icl_princ
= ( ^ [Y0: $i > $o] : Y0 ) ),
inference(cnf_transformation,[],[f57]) ).
thf(f90,plain,
( icl_impl
= ( ^ [Y0: $i > $o,Y1: $i > $o] : ( mbox @ rel @ ( mimpl @ Y0 @ Y1 ) ) ) ),
inference(cnf_transformation,[],[f60]) ).
thf(f94,plain,
( iclval
= ( ^ [Y0: $i > $o] : ( mvalid @ Y0 ) ) ),
inference(cnf_transformation,[],[f62]) ).
thf(f96,plain,
! [X0: $i > $o] :
( ( mvalid @ ( mimpl @ ( mbox @ rel @ X0 ) @ ( mbox @ rel @ ( mbox @ rel @ X0 ) ) ) )
= $true ),
inference(cnf_transformation,[],[f66]) ).
thf(f97,plain,
( icl_impl_princ
= ( ^ [Y0: $i > $o,Y1: $i > $o] : ( mbox @ rel @ ( mimpl @ Y0 @ Y1 ) ) ) ),
inference(cnf_transformation,[],[f67]) ).
thf(f98,plain,
( ( iclval @ ( icl_impl @ ( icl_impl_princ @ ( icl_princ @ a ) @ ( icl_princ @ b ) ) @ ( icl_impl @ ( icl_impl_princ @ ( icl_princ @ b ) @ ( icl_princ @ c ) ) @ ( icl_impl_princ @ ( icl_princ @ a ) @ ( icl_princ @ c ) ) ) ) )
!= $true ),
inference(cnf_transformation,[],[f70]) ).
thf(f101,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,[],[f76,f74,f73]) ).
thf(f106,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,[],[f90,f78,f101]) ).
thf(f110,plain,
( iclval
= ( ^ [Y0: $i > $o] :
( ^ [Y1: $i > $o] :
( !! @ $i
@ ^ [Y2: $i] : ( Y1 @ Y2 ) )
@ Y0 ) ) ),
inference(definition_unfolding,[],[f94,f82]) ).
thf(f111,plain,
( icl_impl_princ
= ( ^ [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,[],[f97,f78,f101]) ).
thf(f113,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,[],[f96,f82,f101,f78,f78,f78]) ).
thf(f114,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 > $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] : Y0
@ a )
@ ( ^ [Y0: $i > $o] : Y0
@ b ) )
@ ( ^ [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 > $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] : Y0
@ b )
@ ( ^ [Y0: $i > $o] : Y0
@ c ) )
@ ( ^ [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] : Y0
@ a )
@ ( ^ [Y0: $i > $o] : Y0
@ c ) ) ) ) ) ),
inference(definition_unfolding,[],[f98,f110,f106,f111,f87,f87,f106,f111,f87,f87,f111,f87,f87]) ).
thf(f115,plain,
( $true
!= ( !! @ $i
@ ^ [Y0: $i] :
( !! @ $i
@ ^ [Y1: $i] :
( ( rel @ Y0 @ Y1 )
=> ( ~ ( !! @ $i
@ ^ [Y2: $i] :
( ( rel @ Y1 @ Y2 )
=> ( ~ ( a @ Y2 )
| ( b @ Y2 ) ) ) )
| ( !! @ $i
@ ^ [Y2: $i] :
( ( rel @ Y1 @ Y2 )
=> ( ~ ( !! @ $i
@ ^ [Y3: $i] :
( ( rel @ Y2 @ Y3 )
=> ( ~ ( b @ Y3 )
| ( c @ Y3 ) ) ) )
| ( !! @ $i
@ ^ [Y3: $i] :
( ( rel @ Y2 @ Y3 )
=> ( ~ ( a @ Y3 )
| ( c @ Y3 ) ) ) ) ) ) ) ) ) ) ) ),
inference(beta-eta_normalization,[],[f114]) ).
thf(f116,plain,
( $false
= ( ^ [Y0: $i] :
( !! @ $i
@ ^ [Y1: $i] :
( ( rel @ Y0 @ Y1 )
=> ( ~ ( !! @ $i
@ ^ [Y2: $i] :
( ( rel @ Y1 @ Y2 )
=> ( ~ ( a @ Y2 )
| ( b @ Y2 ) ) ) )
| ( !! @ $i
@ ^ [Y2: $i] :
( ( rel @ Y1 @ Y2 )
=> ( ~ ( !! @ $i
@ ^ [Y3: $i] :
( ( rel @ Y2 @ Y3 )
=> ( ~ ( b @ Y3 )
| ( c @ Y3 ) ) ) )
| ( !! @ $i
@ ^ [Y3: $i] :
( ( rel @ Y2 @ Y3 )
=> ( ~ ( a @ Y3 )
| ( c @ Y3 ) ) ) ) ) ) ) ) ) )
@ sK0 ) ),
inference(sigma_proxy_clausification,[],[f115]) ).
thf(f117,plain,
( $false
= ( !! @ $i
@ ^ [Y0: $i] :
( ( rel @ sK0 @ Y0 )
=> ( ~ ( !! @ $i
@ ^ [Y1: $i] :
( ( rel @ Y0 @ Y1 )
=> ( ~ ( a @ Y1 )
| ( b @ Y1 ) ) ) )
| ( !! @ $i
@ ^ [Y1: $i] :
( ( rel @ Y0 @ Y1 )
=> ( ~ ( !! @ $i
@ ^ [Y2: $i] :
( ( rel @ Y1 @ Y2 )
=> ( ~ ( b @ Y2 )
| ( c @ Y2 ) ) ) )
| ( !! @ $i
@ ^ [Y2: $i] :
( ( rel @ Y1 @ Y2 )
=> ( ~ ( a @ Y2 )
| ( c @ Y2 ) ) ) ) ) ) ) ) ) ) ),
inference(beta-eta_normalization,[],[f116]) ).
thf(f118,plain,
( $false
= ( ^ [Y0: $i] :
( ( rel @ sK0 @ Y0 )
=> ( ~ ( !! @ $i
@ ^ [Y1: $i] :
( ( rel @ Y0 @ Y1 )
=> ( ~ ( a @ Y1 )
| ( b @ Y1 ) ) ) )
| ( !! @ $i
@ ^ [Y1: $i] :
( ( rel @ Y0 @ Y1 )
=> ( ~ ( !! @ $i
@ ^ [Y2: $i] :
( ( rel @ Y1 @ Y2 )
=> ( ~ ( b @ Y2 )
| ( c @ Y2 ) ) ) )
| ( !! @ $i
@ ^ [Y2: $i] :
( ( rel @ Y1 @ Y2 )
=> ( ~ ( a @ Y2 )
| ( c @ Y2 ) ) ) ) ) ) ) ) )
@ sK1 ) ),
inference(sigma_proxy_clausification,[],[f117]) ).
thf(f119,plain,
( $false
= ( ( rel @ sK0 @ sK1 )
=> ( ~ ( !! @ $i
@ ^ [Y0: $i] :
( ( rel @ sK1 @ Y0 )
=> ( ~ ( a @ Y0 )
| ( b @ Y0 ) ) ) )
| ( !! @ $i
@ ^ [Y0: $i] :
( ( rel @ sK1 @ Y0 )
=> ( ~ ( !! @ $i
@ ^ [Y1: $i] :
( ( rel @ Y0 @ Y1 )
=> ( ~ ( b @ Y1 )
| ( c @ Y1 ) ) ) )
| ( !! @ $i
@ ^ [Y1: $i] :
( ( rel @ Y0 @ Y1 )
=> ( ~ ( a @ Y1 )
| ( c @ Y1 ) ) ) ) ) ) ) ) ) ),
inference(beta-eta_normalization,[],[f118]) ).
thf(f120,plain,
( $false
= ( ~ ( !! @ $i
@ ^ [Y0: $i] :
( ( rel @ sK1 @ Y0 )
=> ( ~ ( a @ Y0 )
| ( b @ Y0 ) ) ) )
| ( !! @ $i
@ ^ [Y0: $i] :
( ( rel @ sK1 @ Y0 )
=> ( ~ ( !! @ $i
@ ^ [Y1: $i] :
( ( rel @ Y0 @ Y1 )
=> ( ~ ( b @ Y1 )
| ( c @ Y1 ) ) ) )
| ( !! @ $i
@ ^ [Y1: $i] :
( ( rel @ Y0 @ Y1 )
=> ( ~ ( a @ Y1 )
| ( c @ Y1 ) ) ) ) ) ) ) ) ),
inference(imp_proxy_clausification,[],[f119]) ).
thf(f122,plain,
( $false
= ( !! @ $i
@ ^ [Y0: $i] :
( ( rel @ sK1 @ Y0 )
=> ( ~ ( !! @ $i
@ ^ [Y1: $i] :
( ( rel @ Y0 @ Y1 )
=> ( ~ ( b @ Y1 )
| ( c @ Y1 ) ) ) )
| ( !! @ $i
@ ^ [Y1: $i] :
( ( rel @ Y0 @ Y1 )
=> ( ~ ( a @ Y1 )
| ( c @ Y1 ) ) ) ) ) ) ) ),
inference(or_proxy_clausification,[],[f120]) ).
thf(f123,plain,
( $false
= ( ~ ( !! @ $i
@ ^ [Y0: $i] :
( ( rel @ sK1 @ Y0 )
=> ( ~ ( a @ Y0 )
| ( b @ Y0 ) ) ) ) ) ),
inference(or_proxy_clausification,[],[f120]) ).
thf(f124,plain,
( $true
= ( !! @ $i
@ ^ [Y0: $i] :
( ( rel @ sK1 @ Y0 )
=> ( ~ ( a @ Y0 )
| ( b @ Y0 ) ) ) ) ),
inference(not_proxy_clausification,[],[f123]) ).
thf(f125,plain,
! [X1: $i] :
( $true
= ( ^ [Y0: $i] :
( ( rel @ sK1 @ Y0 )
=> ( ~ ( a @ Y0 )
| ( b @ Y0 ) ) )
@ X1 ) ),
inference(pi_proxy_clausification,[],[f124]) ).
thf(f126,plain,
! [X1: $i] :
( $true
= ( ( rel @ sK1 @ X1 )
=> ( ~ ( a @ X1 )
| ( b @ X1 ) ) ) ),
inference(beta-eta_normalization,[],[f125]) ).
thf(f127,plain,
! [X1: $i] :
( ( $false
= ( rel @ sK1 @ X1 ) )
| ( $true
= ( ~ ( a @ X1 )
| ( b @ X1 ) ) ) ),
inference(imp_proxy_clausification,[],[f126]) ).
thf(f128,plain,
! [X1: $i] :
( ( $false
= ( rel @ sK1 @ X1 ) )
| ( $true
= ( b @ X1 ) )
| ( $true
= ( ~ ( a @ X1 ) ) ) ),
inference(or_proxy_clausification,[],[f127]) ).
thf(f129,plain,
! [X1: $i] :
( ( $false
= ( rel @ sK1 @ X1 ) )
| ( $true
= ( b @ X1 ) )
| ( $false
= ( a @ X1 ) ) ),
inference(not_proxy_clausification,[],[f128]) ).
thf(f130,plain,
( $false
= ( ^ [Y0: $i] :
( ( rel @ sK1 @ Y0 )
=> ( ~ ( !! @ $i
@ ^ [Y1: $i] :
( ( rel @ Y0 @ Y1 )
=> ( ~ ( b @ Y1 )
| ( c @ Y1 ) ) ) )
| ( !! @ $i
@ ^ [Y1: $i] :
( ( rel @ Y0 @ Y1 )
=> ( ~ ( a @ Y1 )
| ( c @ Y1 ) ) ) ) ) )
@ sK2 ) ),
inference(sigma_proxy_clausification,[],[f122]) ).
thf(f131,plain,
( $false
= ( ( rel @ sK1 @ sK2 )
=> ( ~ ( !! @ $i
@ ^ [Y0: $i] :
( ( rel @ sK2 @ Y0 )
=> ( ~ ( b @ Y0 )
| ( c @ Y0 ) ) ) )
| ( !! @ $i
@ ^ [Y0: $i] :
( ( rel @ sK2 @ Y0 )
=> ( ~ ( a @ Y0 )
| ( c @ Y0 ) ) ) ) ) ) ),
inference(beta-eta_normalization,[],[f130]) ).
thf(f132,plain,
( $false
= ( ~ ( !! @ $i
@ ^ [Y0: $i] :
( ( rel @ sK2 @ Y0 )
=> ( ~ ( b @ Y0 )
| ( c @ Y0 ) ) ) )
| ( !! @ $i
@ ^ [Y0: $i] :
( ( rel @ sK2 @ Y0 )
=> ( ~ ( a @ Y0 )
| ( c @ Y0 ) ) ) ) ) ),
inference(imp_proxy_clausification,[],[f131]) ).
thf(f133,plain,
( $true
= ( rel @ sK1 @ sK2 ) ),
inference(imp_proxy_clausification,[],[f131]) ).
thf(f134,plain,
( $false
= ( !! @ $i
@ ^ [Y0: $i] :
( ( rel @ sK2 @ Y0 )
=> ( ~ ( a @ Y0 )
| ( c @ Y0 ) ) ) ) ),
inference(or_proxy_clausification,[],[f132]) ).
thf(f135,plain,
( $false
= ( ~ ( !! @ $i
@ ^ [Y0: $i] :
( ( rel @ sK2 @ Y0 )
=> ( ~ ( b @ Y0 )
| ( c @ Y0 ) ) ) ) ) ),
inference(or_proxy_clausification,[],[f132]) ).
thf(f136,plain,
( $true
= ( !! @ $i
@ ^ [Y0: $i] :
( ( rel @ sK2 @ Y0 )
=> ( ~ ( b @ Y0 )
| ( c @ Y0 ) ) ) ) ),
inference(not_proxy_clausification,[],[f135]) ).
thf(f137,plain,
! [X1: $i] :
( $true
= ( ^ [Y0: $i] :
( ( rel @ sK2 @ Y0 )
=> ( ~ ( b @ Y0 )
| ( c @ Y0 ) ) )
@ X1 ) ),
inference(pi_proxy_clausification,[],[f136]) ).
thf(f138,plain,
! [X1: $i] :
( $true
= ( ( rel @ sK2 @ X1 )
=> ( ~ ( b @ X1 )
| ( c @ X1 ) ) ) ),
inference(beta-eta_normalization,[],[f137]) ).
thf(f139,plain,
! [X1: $i] :
( ( $false
= ( rel @ sK2 @ X1 ) )
| ( $true
= ( ~ ( b @ X1 )
| ( c @ X1 ) ) ) ),
inference(imp_proxy_clausification,[],[f138]) ).
thf(f140,plain,
! [X1: $i] :
( ( $false
= ( rel @ sK2 @ X1 ) )
| ( $true
= ( c @ X1 ) )
| ( $true
= ( ~ ( b @ X1 ) ) ) ),
inference(or_proxy_clausification,[],[f139]) ).
thf(f141,plain,
! [X1: $i] :
( ( $false
= ( rel @ sK2 @ X1 ) )
| ( $true
= ( c @ X1 ) )
| ( $false
= ( b @ X1 ) ) ),
inference(not_proxy_clausification,[],[f140]) ).
thf(f142,plain,
( $false
= ( ^ [Y0: $i] :
( ( rel @ sK2 @ Y0 )
=> ( ~ ( a @ Y0 )
| ( c @ Y0 ) ) )
@ sK3 ) ),
inference(sigma_proxy_clausification,[],[f134]) ).
thf(f143,plain,
( $false
= ( ( rel @ sK2 @ sK3 )
=> ( ~ ( a @ sK3 )
| ( c @ sK3 ) ) ) ),
inference(beta-eta_normalization,[],[f142]) ).
thf(f144,plain,
( $false
= ( ~ ( a @ sK3 )
| ( c @ sK3 ) ) ),
inference(imp_proxy_clausification,[],[f143]) ).
thf(f145,plain,
( $true
= ( rel @ sK2 @ sK3 ) ),
inference(imp_proxy_clausification,[],[f143]) ).
thf(f146,plain,
( $false
= ( c @ sK3 ) ),
inference(or_proxy_clausification,[],[f144]) ).
thf(f147,plain,
( $false
= ( ~ ( a @ sK3 ) ) ),
inference(or_proxy_clausification,[],[f144]) ).
thf(f148,plain,
( $true
= ( a @ sK3 ) ),
inference(not_proxy_clausification,[],[f147]) ).
thf(f149,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,[],[f113]) ).
thf(f150,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,[],[f149]) ).
thf(f151,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,[],[f150]) ).
thf(f152,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,[],[f151]) ).
thf(f153,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,[],[f152]) ).
thf(f154,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,[],[f153]) ).
thf(f155,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,[],[f154]) ).
thf(f156,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,[],[f155]) ).
thf(f157,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,[],[f156]) ).
thf(f158,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,[],[f157]) ).
thf(f159,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,[],[f157]) ).
thf(f160,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,[],[f159]) ).
thf(f161,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,[],[f160]) ).
thf(f162,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,[],[f161]) ).
thf(f163,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,[],[f158]) ).
thf(f164,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,[],[f163]) ).
thf(f165,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,[],[f164]) ).
thf(f189,plain,
( ( $false = $true )
| ( $true
= ( c @ sK3 ) )
| ( $false
= ( b @ sK3 ) ) ),
inference(constrained_superposition,[],[f145,f141]) ).
thf(f190,plain,
( ( $true
= ( c @ sK3 ) )
| ( $false
= ( b @ sK3 ) ) ),
inference(trivial_inequality_removal,[],[f189]) ).
thf(f192,plain,
( ( $false = $true )
| ( $false
= ( b @ sK3 ) ) ),
inference(forward_demodulation,[],[f190,f146]) ).
thf(f193,plain,
( $false
= ( b @ sK3 ) ),
inference(trivial_inequality_removal,[],[f192]) ).
thf(f1077,plain,
! [X2: $i,X0: $i,X1: $i] :
( ( ( sK4 @ X0
@ ^ [Y0: $i] : ( Y0 != X1 ) )
= X1 )
| ( $false
= ( rel @ X0 @ X2 ) )
| ( $false
= ( rel @ X2 @ X1 ) ) ),
inference(leibniz_equality_elimination,[],[f165]) ).
thf(f3406,plain,
! [X2: $i,X0: $i > $o,X1: $i] :
( ( $false = $true )
| ( $true
= ( b @ ( sK4 @ sK1 @ X0 ) ) )
| ( $false
= ( a @ ( sK4 @ sK1 @ X0 ) ) )
| ( $false
= ( rel @ sK1 @ X1 ) )
| ( $false
= ( rel @ X1 @ X2 ) )
| ( ( X0 @ X2 )
= $true ) ),
inference(constrained_superposition,[],[f129,f162]) ).
thf(f3775,plain,
! [X2: $i,X0: $i > $o,X1: $i] :
( ( $true
= ( b @ ( sK4 @ sK1 @ X0 ) ) )
| ( $false
= ( rel @ sK1 @ X1 ) )
| ( $false
= ( rel @ X1 @ X2 ) )
| ( ( X0 @ X2 )
= $true )
| ( $false
= ( a @ ( sK4 @ sK1 @ X0 ) ) ) ),
inference(trivial_inequality_removal,[],[f3406]) ).
thf(f9671,definition,
( spl6_28
<=> ! [X0: $i] :
( ( $false
= ( rel @ X0 @ sK3 ) )
| ( $false
= ( rel @ sK1 @ X0 ) ) ) ),
introduced(definition,[new_symbols(definition,[spl6_28])],[avatar_definition]) ).
thf(f9672,plain,
( ! [X0: $i] :
( ( $false
= ( rel @ X0 @ sK3 ) )
| ( $false
= ( rel @ sK1 @ X0 ) ) )
| ~ spl6_28 ),
inference(avatar_component_clause,[],[f9671]) ).
thf(f9730,plain,
( ( $false = $true )
| ( $false
= ( rel @ sK1 @ sK2 ) )
| ~ spl6_28 ),
inference(constrained_superposition,[],[f145,f9672]) ).
thf(f9785,plain,
( ( $false
= ( rel @ sK1 @ sK2 ) )
| ~ spl6_28 ),
inference(trivial_inequality_removal,[],[f9730]) ).
thf(f9874,plain,
( ( $false = $true )
| ~ spl6_28 ),
inference(constrained_superposition,[],[f9785,f133]) ).
thf(f9934,plain,
( $false
| ~ spl6_28 ),
inference(trivial_inequality_removal,[],[f9874]) ).
thf(f9935,plain,
~ spl6_28,
inference(avatar_contradiction_clause,[],[f9934]) ).
thf(f105271,plain,
! [X2: $i,X3: $i,X0: $i,X1: $i] :
( ( $true
= ( b @ X0 ) )
| ( $false
= ( rel @ sK1 @ X1 ) )
| ( $false
= ( rel @ X1 @ X2 ) )
| ( $true
= ( ^ [Y0: $i] : ( Y0 != X0 )
@ X2 ) )
| ( $false
= ( a @ X0 ) )
| ( $false
= ( rel @ sK1 @ X3 ) )
| ( $false
= ( rel @ X3 @ X0 ) ) ),
inference(constrained_superposition,[],[f3775,f1077]) ).
thf(f105662,plain,
! [X2: $i,X3: $i,X0: $i,X1: $i] :
( ( $true
= ( b @ X0 ) )
| ( $false
= ( rel @ sK1 @ X1 ) )
| ( $false
= ( rel @ X1 @ X2 ) )
| ( $true
= ( X2 != X0 ) )
| ( $false
= ( a @ X0 ) )
| ( $false
= ( rel @ sK1 @ X3 ) )
| ( $false
= ( rel @ X3 @ X0 ) ) ),
inference(beta-eta_normalization,[],[f105271]) ).
thf(f105663,plain,
! [X2: $i,X3: $i,X0: $i,X1: $i] :
( ( $true
= ( b @ X0 ) )
| ( $false
= ( rel @ sK1 @ X1 ) )
| ( $false
= ( rel @ X1 @ X2 ) )
| ( $false
= ( X2 = X0 ) )
| ( $false
= ( a @ X0 ) )
| ( $false
= ( rel @ sK1 @ X3 ) )
| ( $false
= ( rel @ X3 @ X0 ) ) ),
inference(not_proxy_clausification,[],[f105662]) ).
thf(f105664,plain,
! [X2: $i,X3: $i,X0: $i,X1: $i] :
( ( $false
= ( rel @ sK1 @ X3 ) )
| ( $false
= ( rel @ sK1 @ X1 ) )
| ( $false
= ( rel @ X3 @ X0 ) )
| ( $false
= ( rel @ X1 @ X2 ) )
| ( $true
= ( b @ X0 ) )
| ( $false
= ( a @ X0 ) )
| ( X0 != X2 ) ),
inference(equality_proxy_clausification,[],[f105663]) ).
thf(f113135,plain,
! [X0: $i,X1: $i] :
( ( $false = $true )
| ( $false
= ( rel @ sK1 @ sK2 ) )
| ( $false
= ( rel @ sK1 @ X0 ) )
| ( $false
= ( rel @ X0 @ X1 ) )
| ( $true
= ( b @ sK3 ) )
| ( $false
= ( a @ sK3 ) )
| ( sK3 != X1 ) ),
inference(constrained_superposition,[],[f145,f105664]) ).
thf(f113667,plain,
! [X0: $i,X1: $i] :
( ( $false
= ( rel @ sK1 @ sK2 ) )
| ( $false
= ( rel @ sK1 @ X0 ) )
| ( $false
= ( rel @ X0 @ X1 ) )
| ( $true
= ( b @ sK3 ) )
| ( $false
= ( a @ sK3 ) )
| ( sK3 != X1 ) ),
inference(trivial_inequality_removal,[],[f113135]) ).
thf(f114570,plain,
! [X0: $i,X1: $i] :
( ( $false = $true )
| ( $false
= ( rel @ sK1 @ X0 ) )
| ( $false
= ( rel @ X0 @ X1 ) )
| ( $true
= ( b @ sK3 ) )
| ( $false
= ( a @ sK3 ) )
| ( sK3 != X1 ) ),
inference(forward_demodulation,[],[f113667,f133]) ).
thf(f114571,plain,
! [X0: $i,X1: $i] :
( ( $false
= ( rel @ sK1 @ X0 ) )
| ( $false
= ( rel @ X0 @ X1 ) )
| ( $true
= ( b @ sK3 ) )
| ( $false
= ( a @ sK3 ) )
| ( sK3 != X1 ) ),
inference(trivial_inequality_removal,[],[f114570]) ).
thf(f114578,plain,
! [X0: $i,X1: $i] :
( ( $false = $true )
| ( $false
= ( rel @ sK1 @ X0 ) )
| ( $false
= ( rel @ X0 @ X1 ) )
| ( $false
= ( a @ sK3 ) )
| ( sK3 != X1 ) ),
inference(forward_demodulation,[],[f114571,f193]) ).
thf(f114579,plain,
! [X0: $i,X1: $i] :
( ( $false
= ( rel @ sK1 @ X0 ) )
| ( $false
= ( rel @ X0 @ X1 ) )
| ( $false
= ( a @ sK3 ) )
| ( sK3 != X1 ) ),
inference(trivial_inequality_removal,[],[f114578]) ).
thf(f114582,plain,
! [X0: $i,X1: $i] :
( ( $false = $true )
| ( $false
= ( rel @ sK1 @ X0 ) )
| ( $false
= ( rel @ X0 @ X1 ) )
| ( sK3 != X1 ) ),
inference(forward_demodulation,[],[f114579,f148]) ).
thf(f114583,plain,
! [X0: $i,X1: $i] :
( ( sK3 != X1 )
| ( $false
= ( rel @ X0 @ X1 ) )
| ( $false
= ( rel @ sK1 @ X0 ) ) ),
inference(trivial_inequality_removal,[],[f114582]) ).
thf(f114586,plain,
! [X0: $i] :
( ( $false
= ( rel @ X0 @ sK3 ) )
| ( $false
= ( rel @ sK1 @ X0 ) ) ),
inference(equality_resolution,[],[f114583]) ).
thf(f114587,plain,
spl6_28,
inference(avatar_split_clause,[],[f114586,f9671]) ).
cnf(s19,plain,
~ spl6_28,
inference(sat_conversion,[],[f9935]) ).
cnf(s37,plain,
spl6_28,
inference(sat_conversion,[],[f114587]) ).
cnf(s38,plain,
$false,
inference(rat,[],[s19,s37]) ).
thf(f114588,plain,
$false,
inference(avatar_sat_refutation,[],[s38]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.04 % Problem : SWV430^2 : TPTP v9.3.1. Released v3.6.0.
% 0.00/0.07 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.11/0.23 % Computer : n017.cluster.edu
% 0.11/0.23 % Model : x86_64 x86_64
% 0.11/0.23 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.23 % Memory : 8046.5625MB
% 0.11/0.23 % OS : Linux 6.8.0-71-generic
% 0.11/0.23 % CPULimit : 300
% 0.11/0.23 % WCLimit : 300
% 0.11/0.23 % DateTime : Tue Sep 29 15:58:23 UTC 2026
% 0.11/0.23 % CPUTime :
% 0.11/0.23 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.11/0.27 Running first-order model finding
% 0.11/0.27 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
% 8.27/1.54 % (507810)Will run a generic schedule for satisfiability detection.
% 8.27/1.54 % (507821)% WARNING: option uhcvi not known.
% 8.27/1.54 % (507822)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=2247901900:i=88024:add=on:rawr=on_2999 on theBenchmark for (2999ds/88024Mi)
% 8.27/1.54 % (507821)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=910678709:i=135531:add=off:rawr=on_2999 on theBenchmark for (2999ds/135531Mi)
% 8.27/1.54 % (507821)WARNING: Not using 'newcnf' as currently not compatible with higher-order inputs.
% 8.27/1.54 % (507821)WARNING: Look ahead literal selection is not currently compatible with higher-order. Ignoring request to use
% 8.27/1.54 % (507820)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=1470399092_2999 on theBenchmark for (2999ds/0Mi)
% 8.27/1.54 % (507823)dis+10_1_sil=32000:sp=arity:random_seed=2865541826:i=103:fgj=on_2999 on theBenchmark for (2999ds/103Mi)
% 8.27/1.54 % (507824)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=3999489639:i=116_2999 on theBenchmark for (2999ds/116Mi)
% 8.27/1.54 % (507826)ott-3_16_to=lpo:sil=16000:sp=arity:fd=off:rp=on:random_seed=3911385159:i=159:bs=unit_only:nicw=on:fsr=off:amm=off_2999 on theBenchmark for (2999ds/159Mi)
% 8.27/1.54 % (507825)ott+1_1_to=lpo:sil=16000:sp=reverse_arity:erd=off:random_seed=2639695616:i=131_2999 on theBenchmark for (2999ds/131Mi)
% 8.27/1.54 % (507824)WARNING: Not using 'newcnf' as currently not compatible with higher-order inputs.
% 8.27/1.54 % Exception at run slice level
% 8.27/1.54 User error: Finite model building is currently not compatible with polymorphism or higher-order constructs
% 8.27/1.54 % (507838)fmb+10_1_fmbas=predicate:sil=64000:sas=cadical:random_seed=960763294:i=714:nm=2_2999 on theBenchmark for (2999ds/714Mi)
% 8.27/1.54 % Exception at run slice level
% 8.27/1.54 User error: Finite model building is currently not compatible with polymorphism or higher-order constructs
% 8.27/1.54 % (507848)ott+32_1_sil=16000:bsd=on:sp=const_max:bce=on:random_seed=3963381769:i=131:bd=preordered:fsd=on_2999 on theBenchmark for (2999ds/131Mi)
% 8.27/1.54 % (507823)Instruction limit reached!
% 8.27/1.54 % (507823)------------------------------
% 8.27/1.54 % (507823)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 8.27/1.54 % (507823)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.27/1.54 % (507823)CaDiCaL version: 2.1.3
% 8.27/1.54 % (507823)Termination reason: Instruction limit
% 8.27/1.54 % (507823)Termination phase: Saturation
% 8.27/1.54 % (507823)Time elapsed: 0.090 s
% 8.27/1.54 % (507823)Peak memory usage: 12 MB
% 8.27/1.54 % (507823)Instructions burned: 103 (million)
% 8.27/1.54 % (507824)Instruction limit reached!
% 8.27/1.54 % (507824)------------------------------
% 8.27/1.54 % (507824)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 8.27/1.54 % (507824)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.27/1.54 % (507824)CaDiCaL version: 2.1.3
% 8.27/1.54 % (507824)Termination reason: Instruction limit
% 8.27/1.54 % (507824)Termination phase: Saturation
% 8.27/1.54 % (507824)Time elapsed: 0.099 s
% 8.27/1.54 % (507824)Peak memory usage: 13 MB
% 8.27/1.54 % (507824)Instructions burned: 116 (million)
% 8.27/1.54 % (507859)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=1810876415:i=684:slsql=off:bs=unit_only:nicw=on:rawr=on_2998 on theBenchmark for (2998ds/684Mi)
% 8.27/1.54 % (507825)Instruction limit reached!
% 8.27/1.54 % (507825)------------------------------
% 8.27/1.54 % (507825)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 8.27/1.54 % (507825)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.27/1.54 % (507825)CaDiCaL version: 2.1.3
% 8.27/1.54 % (507825)Termination reason: Instruction limit
% 8.27/1.54 % (507825)Termination phase: Saturation
% 8.27/1.54 % (507825)Time elapsed: 0.114 s
% 8.27/1.54 % (507825)Peak memory usage: 13 MB
% 8.27/1.54 % (507825)Instructions burned: 131 (million)
% 8.27/1.54 % (507859)WARNING: Not using 'newcnf' as currently not compatible with higher-order inputs.
% 8.27/1.54 % (507859)WARNING: Look ahead literal selection is not currently compatible with higher-order. Ignoring request to use
% 8.27/1.54 % (507861)ott-21_1_sil=16000:fs=off:random_seed=2833757990:i=180:av=off:fsr=off_2998 on theBenchmark for (2998ds/180Mi)
% 8.27/1.54 % (507826)Instruction limit reached!
% 8.27/1.54 % (507826)------------------------------
% 33.80/5.07 % (507826)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 33.80/5.07 % (507826)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 33.80/5.07 % (507826)CaDiCaL version: 2.1.3
% 33.80/5.07 % (507826)Termination reason: Instruction limit
% 33.80/5.07 % (507826)Termination phase: Saturation
% 33.80/5.07 % (507826)Time elapsed: 0.143 s
% 33.80/5.07 % (507826)Peak memory usage: 13 MB
% 33.80/5.07 % (507826)Instructions burned: 160 (million)
% 33.80/5.07 % (507866)dis+10_4_sil=64000:sp=reverse_arity:bsr=on:sac=on:cn=on:random_seed=2662831135:i=477:bd=all_2998 on theBenchmark for (2998ds/477Mi)
% 33.80/5.07 % (507873)fmb+10_1_sil=64000:erd=off:updr=off:random_seed=170855974:fmbsr=1.3:i=865:ins=25_2998 on theBenchmark for (2998ds/865Mi)
% 33.80/5.07 % Exception at run slice level
% 33.80/5.07 User error: Finite model building is currently not compatible with polymorphism or higher-order constructs
% 33.80/5.07 % (507848)Instruction limit reached!
% 33.80/5.07 % (507848)------------------------------
% 33.80/5.07 % (507848)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 33.80/5.07 % (507848)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 33.80/5.07 % (507848)CaDiCaL version: 2.1.3
% 33.80/5.07 % (507848)Termination reason: Instruction limit
% 33.80/5.07 % (507848)Termination phase: Saturation
% 33.80/5.07 % (507848)Time elapsed: 0.116 s
% 33.80/5.07 % (507848)Peak memory usage: 12 MB
% 33.80/5.07 % (507848)Instructions burned: 131 (million)
% 33.80/5.07 % (507884)ott+10_1_to=lpo:sil=64000:tgt=full:sp=arity:spb=goal_then_units:random_seed=4131514208:i=1179_2997 on theBenchmark for (2997ds/1179Mi)
% 33.80/5.07 % (507888)fmb+10_1_sil=64000:erd=off:fmbss=14:random_seed=4046006412:i=889:ins=1_2997 on theBenchmark for (2997ds/889Mi)
% 33.80/5.07 % Exception at run slice level
% 33.80/5.07 User error: Finite model building is currently not compatible with polymorphism or higher-order constructs
% 33.80/5.07 % (507861)Instruction limit reached!
% 33.80/5.07 % (507861)------------------------------
% 33.80/5.07 % (507861)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 33.80/5.07 % (507861)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 33.80/5.07 % (507861)CaDiCaL version: 2.1.3
% 33.80/5.07 % (507861)Termination reason: Instruction limit
% 33.80/5.07 % (507861)Termination phase: Saturation
% 33.80/5.07 % (507861)Time elapsed: 0.128 s
% 33.80/5.07 % (507861)Peak memory usage: 12 MB
% 33.80/5.07 % (507861)Instructions burned: 180 (million)
% 33.80/5.07 % (507897)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=3071655246: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)
% 33.80/5.07 % (507897)WARNING: Not using 'newcnf' as currently not compatible with higher-order inputs.
% 33.80/5.07 % (507901)dis-10_1_anc=none:sil=64000:spb=goal:newcnf=on:cn=on:random_seed=672844988:i=879:kws=inv_precedence:fsr=off_2997 on theBenchmark for (2997ds/879Mi)
% 33.80/5.07 % (507901)WARNING: Not using 'newcnf' as currently not compatible with higher-order inputs.
% 33.80/5.07 % (507866)Instruction limit reached!
% 33.80/5.07 % (507866)------------------------------
% 33.80/5.07 % (507866)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 33.80/5.07 % (507866)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 33.80/5.07 % (507866)CaDiCaL version: 2.1.3
% 33.80/5.07 % (507866)Termination reason: Instruction limit
% 33.80/5.07 % (507866)Termination phase: Saturation
% 33.80/5.07 % (507866)Time elapsed: 0.417 s
% 33.80/5.07 % (507866)Peak memory usage: 14 MB
% 33.80/5.07 % (507866)Instructions burned: 477 (million)
% 33.80/5.07 % (507937)fmb+10_1_sil=64000:random_seed=4012136652:i=22061:nm=2:gsp=on_2993 on theBenchmark for (2993ds/22061Mi)
% 33.80/5.07 % (507937)WARNING: Not using GeneralSplitting currently not compatible with polymorphic/higher-order inputs.
% 33.80/5.07 % Exception at run slice level
% 33.80/5.07 User error: Finite model building is currently not compatible with polymorphism or higher-order constructs
% 33.80/5.07 % (507859)Instruction limit reached!
% 33.80/5.07 % (507859)------------------------------
% 33.80/5.07 % (507859)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 33.80/5.07 % (507859)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 33.80/5.07 % (507859)CaDiCaL version: 2.1.3
% 33.80/5.07 % (507859)Termination reason: Instruction limit
% 75.32/11.87 % (507859)Termination phase: Saturation
% 75.32/11.87 % (507859)Time elapsed: 0.528 s
% 75.32/11.87 % (507859)Peak memory usage: 15 MB
% 75.32/11.87 % (507859)Instructions burned: 684 (million)
% 75.32/11.87 % (507942)fmb+10_1_sil=16000:sas=cadical:fmbss=20:random_seed=295049368:i=9515:nm=5_2993 on theBenchmark for (2993ds/9515Mi)
% 75.32/11.87 % Exception at run slice level
% 75.32/11.87 User error: Finite model building is currently not compatible with polymorphism or higher-order constructs
% 75.32/11.87 % (507946)fmb+10_1_sil=64000:sas=cadical:fmbss=8:random_seed=3090442657:fmbsr=1.7:i=920_2993 on theBenchmark for (2993ds/920Mi)
% 75.32/11.87 % Exception at run slice level
% 75.32/11.87 User error: Finite model building is currently not compatible with polymorphism or higher-order constructs
% 75.32/11.87 % (507951)ott+11_16_sil=32000:fde=unused:bsd=on:sas=cadical:sp=arity:spb=units:lsd=10:nwc=3:random_seed=412139847:i=1472:ins=7:fdi=8:gsp=on_2992 on theBenchmark for (2992ds/1472Mi)
% 75.32/11.87 % (507951)WARNING: Not using GeneralSplitting currently not compatible with polymorphic/higher-order inputs.
% 75.32/11.87 % (507951)WARNING: Look ahead literal selection is not currently compatible with higher-order. Ignoring request to use
% 75.32/11.87 % (507949)dis-4_1_sil=16000:drc=ordering:sp=const_frequency:sac=on:newcnf=on:random_seed=2300563454:i=5131_2993 on theBenchmark for (2993ds/5131Mi)
% 75.32/11.87 % (507949)WARNING: Not using 'newcnf' as currently not compatible with higher-order inputs.
% 75.32/11.87 % (507897)Instruction limit reached!
% 75.32/11.87 % (507897)------------------------------
% 75.32/11.87 % (507897)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 75.32/11.87 % (507897)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 75.32/11.87 % (507897)CaDiCaL version: 2.1.3
% 75.32/11.87 % (507897)Termination reason: Instruction limit
% 75.32/11.87 % (507897)Termination phase: Saturation
% 75.32/11.87 % (507897)Time elapsed: 0.600 s
% 75.32/11.87 % (507897)Peak memory usage: 18 MB
% 75.32/11.87 % (507897)Instructions burned: 693 (million)
% 75.32/11.87 % (507964)fmb+10_1_sil=16000:sas=cadical:bce=on:fmbss=77:random_seed=1444786565:i=6324_2990 on theBenchmark for (2990ds/6324Mi)
% 75.32/11.87 % Exception at run slice level
% 75.32/11.87 User error: Finite model building is currently not compatible with polymorphism or higher-order constructs
% 75.32/11.87 % (507969)fmb+10_1_fmbas=function:sil=32000:sas=cadical:fmbss=16:random_seed=3517396147:fmbsr=2.30978:i=2174_2990 on theBenchmark for (2990ds/2174Mi)
% 75.32/11.87 % Exception at run slice level
% 75.32/11.87 User error: Finite model building is currently not compatible with polymorphism or higher-order constructs
% 75.32/11.87 % (507972)ott-2_1_sil=16000:newcnf=on:random_seed=2052659692:avsq=on:i=869:avsqr=1,16:kws=inv_arity_squared_2990 on theBenchmark for (2990ds/869Mi)
% 75.32/11.87 % (507972)WARNING: Not using 'newcnf' as currently not compatible with higher-order inputs.
% 75.32/11.87 % (507901)Instruction limit reached!
% 75.32/11.87 % (507901)------------------------------
% 75.32/11.87 % (507901)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 75.32/11.87 % (507901)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 75.32/11.87 % (507901)CaDiCaL version: 2.1.3
% 75.32/11.87 % (507901)Termination reason: Instruction limit
% 75.32/11.87 % (507901)Termination phase: Saturation
% 75.32/11.87 % (507901)Time elapsed: 0.706 s
% 75.32/11.87 % (507901)Peak memory usage: 15 MB
% 75.32/11.87 % (507901)Instructions burned: 879 (million)
% 75.32/11.87 % (507976)ott+10_1_sil=32000:tgt=ground:random_seed=32315525:i=5114:av=off_2989 on theBenchmark for (2989ds/5114Mi)
% 75.32/11.87 % (507884)Instruction limit reached!
% 75.32/11.87 % (507884)------------------------------
% 75.32/11.87 % (507884)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 75.32/11.87 % (507884)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 75.32/11.87 % (507884)CaDiCaL version: 2.1.3
% 75.32/11.87 % (507884)Termination reason: Instruction limit
% 75.32/11.87 % (507884)Termination phase: Saturation
% 75.32/11.87 % (507884)Time elapsed: 0.933 s
% 75.32/11.87 % (507884)Peak memory usage: 15 MB
% 75.32/11.87 % (507884)Instructions burned: 1179 (million)
% 75.32/11.87 % (507986)fmb+10_1_sil=64000:sas=cadical:bce=on:rp=on:random_seed=1329064664:i=54282_2988 on theBenchmark for (2988ds/54282Mi)
% 75.32/11.87 % Exception at run slice level
% 75.32/11.87 User error: Finite model building is currently not compatible with polymorphism or higher-order constructs
% 75.32/11.87 % (507990)dis-11_1_sil=16000:sp=reverse_frequency:alpa=true:random_seed=608603936:i=3512:aac=none_2987 on theBenchmark for (2987ds/3512Mi)
% 125.22/18.00 % (507990)WARNING: Look ahead literal selection is not currently compatible with higher-order. Ignoring request to use
% 125.22/18.00 % (507972)Instruction limit reached!
% 125.22/18.00 % (507972)------------------------------
% 125.22/18.00 % (507972)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 125.22/18.00 % (507972)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 125.22/18.00 % (507972)CaDiCaL version: 2.1.3
% 125.22/18.00 % (507972)Termination reason: Instruction limit
% 125.22/18.00 % (507972)Termination phase: Saturation
% 125.22/18.00 % (507972)Time elapsed: 0.732 s
% 125.22/18.00 % (507972)Peak memory usage: 15 MB
% 125.22/18.00 % (507972)Instructions burned: 870 (million)
% 125.22/18.00 % (508022)dis+21_1_sil=32000:sas=cadical:random_seed=3296838133:i=3773:amm=off_2982 on theBenchmark for (2982ds/3773Mi)
% 125.22/18.00 % (507951)Instruction limit reached!
% 125.22/18.00 % (507951)------------------------------
% 125.22/18.00 % (507951)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 125.22/18.00 % (507951)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 125.22/18.00 % (507951)CaDiCaL version: 2.1.3
% 125.22/18.00 % (507951)Termination reason: Instruction limit
% 125.22/18.00 % (507951)Termination phase: Saturation
% 125.22/18.00 % (507951)Time elapsed: 1.092 s
% 125.22/18.00 % (507951)Peak memory usage: 20 MB
% 125.22/18.00 % (507951)Instructions burned: 1473 (million)
% 125.22/18.00 % (508027)ott+11_1_sil=16000:gs=on:random_seed=2562108743:s2a=on:i=2251:s2at=3:kws=inv_arity_squared:nm=2:fsr=off:fsd=on_2981 on theBenchmark for (2981ds/2251Mi)
% 125.22/18.00 % (508027)WARNING: Look ahead literal selection is not currently compatible with higher-order. Ignoring request to use
% 125.22/18.00 % (507990)Instruction limit reached!
% 125.22/18.00 % (507990)------------------------------
% 125.22/18.00 % (507990)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 125.22/18.00 % (507990)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 125.22/18.00 % (507990)CaDiCaL version: 2.1.3
% 125.22/18.00 % (507990)Termination reason: Instruction limit
% 125.22/18.00 % (507990)Termination phase: Saturation
% 125.22/18.00 % (507990)Time elapsed: 2.140 s
% 125.22/18.01 % (507990)Peak memory usage: 18 MB
% 125.22/18.01 % (507990)Instructions burned: 3513 (million)
% 125.22/18.01 % (508139)fmb+10_1_fmbas=predicate:sil=64000:tgt=ground:fmbss=7:random_seed=3844972696:fmbsr=1.6:i=67534_2966 on theBenchmark for (2966ds/67534Mi)
% 125.22/18.01 % Exception at run slice level
% 125.22/18.01 User error: Finite model building is currently not compatible with polymorphism or higher-order constructs
% 125.22/18.01 % (508145)ott-22_32_sil=16000:tgt=full:fdtod=off:sp=weighted_frequency:rnwc=on:alpa=false:random_seed=745418469:avsq=on:i=4591:add=off:avsqr=1,16:kws=inv_arity:nm=10:ins=9:fdi=4_2965 on theBenchmark for (2965ds/4591Mi)
% 125.22/18.01 % (508027)Instruction limit reached!
% 125.22/18.01 % (508027)------------------------------
% 125.22/18.01 % (508027)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 125.22/18.01 % (508027)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 125.22/18.01 % (508027)CaDiCaL version: 2.1.3
% 125.22/18.01 % (508027)Termination reason: Instruction limit
% 125.22/18.01 % (508027)Termination phase: Saturation
% 125.22/18.01 % (508027)Time elapsed: 1.727 s
% 125.22/18.01 % (508027)Peak memory usage: 16 MB
% 125.22/18.01 % (508027)Instructions burned: 2252 (million)
% 125.22/18.01 % (508163)dis+10_64_to=lpo:sil=32000:spb=intro:urr=on:sac=on:random_seed=2003781246:i=29340_2964 on theBenchmark for (2964ds/29340Mi)
% 125.22/18.01 % (508022)Instruction limit reached!
% 125.22/18.01 % (508022)------------------------------
% 125.22/18.01 % (508022)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 125.22/18.01 % (508022)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 125.22/18.01 % (508022)CaDiCaL version: 2.1.3
% 125.22/18.01 % (508022)Termination reason: Instruction limit
% 125.22/18.01 % (508022)Termination phase: Saturation
% 125.22/18.01 % (508022)Time elapsed: 2.988 s
% 125.22/18.01 % (508022)Peak memory usage: 19 MB
% 125.22/18.01 % (508022)Instructions burned: 3773 (million)
% 125.22/18.01 % (507949)Instruction limit reached!
% 125.22/18.01 % (507949)------------------------------
% 125.22/18.01 % (507949)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 125.22/18.01 % (507949)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 125.22/18.01 % (507949)CaDiCaL version: 2.1.3
% 125.22/18.01 % (507949)Termination reason: Instruction limit
% 125.22/18.01 % (507949)Termination phase: Saturation
% 125.22/18.01 % (507949)Time elapsed: 4.050 s
% 125.22/18.01 % (507949)Peak memory usage: 19 MB
% 125.22/18.01 % (507949)Instructions burned: 5131 (million)
% 125.22/18.01 % (508186)dis-10_1_sil=64000:sas=cadical:cn=on:random_seed=3643686732:i=5211_2952 on theBenchmark for (2952ds/5211Mi)
% 125.22/18.01 % (508187)fmb+10_1_sil=32000:sas=cadical:bce=on:fmbss=17:random_seed=717837557:i=5497:nm=2_2952 on theBenchmark for (2952ds/5497Mi)
% 125.22/18.01 % Exception at run slice level
% 125.22/18.01 User error: Finite model building is currently not compatible with polymorphism or higher-order constructs
% 125.22/18.01 % (508190)fmb+10_1_fmbas=predicate:sil=64000:tgt=full:sas=cadical:fmbss=15:random_seed=3567599186:fmbsr=2:i=46332_2951 on theBenchmark for (2951ds/46332Mi)
% 125.22/18.01 % Exception at run slice level
% 125.22/18.01 User error: Finite model building is currently not compatible with polymorphism or higher-order constructs
% 125.22/18.01 % (508192)fmb+10_1_sil=128000:tgt=full:sas=cadical:fmbss=12:random_seed=1433099588:i=14071_2951 on theBenchmark for (2951ds/14071Mi)
% 125.22/18.01 % Exception at run slice level
% 125.22/18.01 User error: Finite model building is currently not compatible with polymorphism or higher-order constructs
% 125.22/18.01 % (508194)dis+10_161_sil=128000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=297979351:i=22565:add=on:rawr=on_2951 on theBenchmark for (2951ds/22565Mi)
% 125.22/18.01 % (507976)Instruction limit reached!
% 125.22/18.01 % (507976)------------------------------
% 125.22/18.01 % (507976)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 125.22/18.01 % (507976)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 125.22/18.01 % (507976)CaDiCaL version: 2.1.3
% 125.22/18.01 % (507976)Termination reason: Instruction limit
% 125.22/18.01 % (507976)Termination phase: Saturation
% 125.22/18.01 % (507976)Time elapsed: 3.997 s
% 125.22/18.01 % (507976)Peak memory usage: 23 MB
% 125.22/18.01 % (507976)Instructions burned: 5114 (million)
% 125.22/18.01 % (508196)ott+4_1_sil=16000:sp=arity:gs=on:random_seed=4201923052:i=8173:av=off_2949 on theBenchmark for (2949ds/8173Mi)
% 125.22/18.01 % (508145)Instruction limit reached!
% 125.22/18.01 % (508145)------------------------------
% 125.22/18.01 % (508145)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 125.22/18.01 % (508145)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 125.22/18.01 % (508145)CaDiCaL version: 2.1.3
% 125.22/18.01 % (508145)Termination reason: Instruction limit
% 125.22/18.01 % (508145)Termination phase: Saturation
% 125.22/18.01 % (508145)Time elapsed: 3.175 s
% 125.22/18.01 % (508145)Peak memory usage: 17 MB
% 125.22/18.01 % (508145)Instructions burned: 4593 (million)
% 125.22/18.01 % (508290)dis+10_16:1_sil=16000:random_seed=3946143244:i=9155:fsr=off_2933 on theBenchmark for (2933ds/9155Mi)
% 125.22/18.01 % (508186)Instruction limit reached!
% 125.22/18.01 % (508186)------------------------------
% 125.22/18.01 % (508186)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 125.22/18.01 % (508186)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 125.22/18.01 % (508186)CaDiCaL version: 2.1.3
% 125.22/18.01 % (508186)Termination reason: Instruction limit
% 125.22/18.01 % (508186)Termination phase: Saturation
% 125.22/18.01 % (508186)Time elapsed: 4.098 s
% 125.22/18.01 % (508186)Peak memory usage: 27 MB
% 125.22/18.01 % (508186)Instructions burned: 5211 (million)
% 125.22/18.01 % (508328)ott-3_8_sil=64000:random_seed=4038035459:i=20139:bs=on_2910 on theBenchmark for (2910ds/20139Mi)
% 125.22/18.01 % (508196)Instruction limit reached!
% 125.22/18.01 % (508196)------------------------------
% 125.22/18.01 % (508196)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 125.22/18.01 % (508196)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 125.22/18.01 % (508196)CaDiCaL version: 2.1.3
% 125.22/18.01 % (508196)Termination reason: Instruction limit
% 125.22/18.01 % (508196)Termination phase: Saturation
% 125.22/18.01 % (508196)Time elapsed: 6.424 s
% 125.22/18.01 % (508196)Peak memory usage: 30 MB
% 125.22/18.01 % (508196)Instructions burned: 8174 (million)
% 125.22/18.01 % (508343)fmb+10_1_sil=64000:tgt=ground:sas=cadical:bce=on:fmbss=9:random_seed=640827902:fmbsr=2:i=32576_2884 on theBenchmark for (2884ds/32576Mi)
% 125.22/18.01 % Exception at run slice level
% 125.22/18.01 User error: Finite model building is currently not compatible with polymorphism or higher-order constructs
% 125.22/18.01 % (508347)ott+10_8:1_sil=16000:sp=arity:gs=on:random_seed=3826013882:i=11404_2884 on theBenchmark for (2884ds/11404Mi)
% 125.22/18.01 % (508290)Instruction limit reached!
% 125.22/18.01 % (508290)------------------------------
% 125.22/18.01 % (508290)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 125.22/18.01 % (508290)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 125.22/18.01 % (508290)CaDiCaL version: 2.1.3
% 125.22/18.01 % (508290)Termination reason: Instruction limit
% 125.22/18.01 % (508290)Termination phase: Saturation
% 125.22/18.01 % (508290)Time elapsed: 7.231 s
% 125.22/18.01 % (508290)Peak memory usage: 25 MB
% 125.22/18.01 % (508290)Instructions burned: 9156 (million)
% 125.22/18.01 % (508400)ott-11_1_sil=16000:alpa=false:sac=on:random_seed=2867323049:i=14134_2860 on theBenchmark for (2860ds/14134Mi)
% 125.22/18.01 % (508400)WARNING: Look ahead literal selection is not currently compatible with higher-order. Ignoring request to use
% 125.22/18.01 % (508163) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-507810-508163"...
% 125.22/18.01 % (508163)...printing done.
% 125.22/18.01 % (508163)Refutation found. Thanks to Tanya!
% 125.22/18.01 % SZS status Theorem for theBenchmark
% 125.22/18.01 % SZS output start Proof for theBenchmark
% See solution above
% 125.22/18.01 % (508163)------------------------------
% 125.22/18.01 % (508163)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 125.22/18.01 % (508163)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 125.22/18.01 % (508163)CaDiCaL version: 2.1.3
% 125.22/18.01 % (508163)Termination reason: Refutation
% 125.22/18.01 % (508163)Time elapsed: 14.065 s
% 125.22/18.01 % (508163)Peak memory usage: 40 MB
% 125.22/18.01 % (508163)Instructions burned: 17583 (million)
% 125.22/18.01 % (507810)Success in time 17.716 s
% 125.22/18.01 % Vampire exiting
%------------------------------------------------------------------------------