%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : LCL691^1 : TPTP v9.3.1. Released v3.7.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% Computer : n026.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8046.5625MB
% OS : Linux 6.8.0-71-generic
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Wed Sep 30 08:15:05 AM UTC 2026
% Result : Theorem 0.22s 0.32s
% Output : Refutation 0.22s
% Verified :
% SZS Type : Refutation
% Derivation depth : 45
% Number of leaves : 12
% Syntax : Number of formulae : 115 ( 71 unt; 0 typ; 0 def)
% Number of atoms : 787 ( 196 equ; 0 cnn)
% Maximal formula atoms : 7 ( 6 avg)
% Number of connectives : 1087 ( 52 ~; 110 |; 0 &; 768 @)
% ( 0 <=>; 82 =>; 0 <=; 0 <~>)
% Maximal formula depth : 11 ( 3 avg)
% Number of types : 3 ( 1 usr)
% Number of type conns : 167 ( 167 >; 0 *; 0 +; 0 <<)
% Number of symbols : 59 ( 55 usr; 6 con; 0-4 aty)
% ( 75 !!; 0 ??; 0 @@+; 0 @@-)
% Number of variables : 350 ( 233 ^; 116 !; 1 ?; 350 :)
% 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,
reli: $i > $i > $o ).
thf(func_def_21,type,
relr: $i > $i > $o ).
thf(func_def_22,type,
cs4_atom: ( $i > $o ) > $i > $o ).
thf(func_def_23,type,
cs4_and: ( $i > $o ) > ( $i > $o ) > $i > $o ).
thf(func_def_24,type,
cs4_or: ( $i > $o ) > ( $i > $o ) > $i > $o ).
thf(func_def_25,type,
cs4_impl: ( $i > $o ) > ( $i > $o ) > $i > $o ).
thf(func_def_26,type,
cs4_true: $i > $o ).
thf(func_def_27,type,
cs4_false: $i > $o ).
thf(func_def_28,type,
cs4_all: ( individuals > $i > $o ) > $i > $o ).
thf(func_def_29,type,
cs4_box: ( $i > $o ) > $i > $o ).
thf(func_def_30,type,
cs4_valid: ( $i > $o ) > $o ).
thf(func_def_33,type,
vLAM:
!>[X0: $tType,X1: $tType] : ( X1 > X0 > X1 ) ).
thf(func_def_34,type,
vNOT: $o > $o ).
thf(func_def_35,type,
db1:
!>[X0: $tType] : X0 ).
thf(func_def_36,type,
db0:
!>[X0: $tType] : X0 ).
thf(func_def_37,type,
vOR: $o > $o > $o ).
thf(func_def_38,type,
db2:
!>[X0: $tType] : X0 ).
thf(func_def_39,type,
vAND: $o > $o > $o ).
thf(func_def_40,type,
vPI:
!>[X0: $tType] : ( ( X0 > $o ) > $o ) ).
thf(func_def_41,type,
vIMP: $o > $o > $o ).
thf(func_def_42,type,
db3:
!>[X0: $tType] : X0 ).
thf(func_def_43,type,
vSIGMA:
!>[X0: $tType] : ( ( X0 > $o ) > $o ) ).
thf(func_def_44,type,
sK0: $i > $o ).
thf(func_def_48,type,
sK4: $i > ( $i > $o ) > $i ).
thf(func_def_49,type,
sK5: $i > ( $i > $o ) > $i ).
thf(func_def_50,type,
sK6: $i > ( $i > $o ) > $i ).
thf(func_def_51,type,
sK7: $i > ( $i > $o ) > $i ).
thf(func_def_52,type,
sK8: $i > ( $i > $o ) > $i ).
thf(func_def_53,type,
sK9: $i > ( $i > $o ) > $i ).
thf(func_def_55,type,
vEQ:
!>[X0: $tType] : ( X0 > X0 > $o ) ).
thf(func_def_56,type,
sK11: ( $i > $o ) > $i ).
thf(func_def_57,type,
sK12: ( $i > $o ) > $i ).
thf(func_def_58,type,
sK13: ( $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,
( cs4_atom
= ( ^ [X0: $i > $o] : ( mbox @ reli @ X0 ) ) ),
file('/export/starexec/sandbox/benchmark/Axioms/LCL009^0.ax',cs4_atom) ).
thf(f19,axiom,
( cs4_impl
= ( ^ [X0: $i > $o,X1: $i > $o] : ( mbox @ reli @ ( mimpl @ X0 @ X1 ) ) ) ),
file('/export/starexec/sandbox/benchmark/Axioms/LCL009^0.ax',cs4_impl) ).
thf(f23,axiom,
( cs4_box
= ( ^ [X0: $i > $o] : ( mbox @ reli @ ( mbox @ relr @ X0 ) ) ) ),
file('/export/starexec/sandbox/benchmark/Axioms/LCL009^0.ax',cs4_box) ).
thf(f24,axiom,
( cs4_valid
= ( ^ [X0: $i > $o] : ( mvalid @ X0 ) ) ),
file('/export/starexec/sandbox/benchmark/Axioms/LCL009^0.ax',cs4_valid_def) ).
thf(f25,axiom,
! [X0: $i > $o] : ( mvalid @ ( mimpl @ ( mbox @ reli @ X0 ) @ X0 ) ),
file('/export/starexec/sandbox/benchmark/Axioms/LCL009^0.ax',refl_axiom_i) ).
thf(f26,axiom,
! [X0: $i > $o] : ( mvalid @ ( mimpl @ ( mbox @ relr @ X0 ) @ X0 ) ),
file('/export/starexec/sandbox/benchmark/Axioms/LCL009^0.ax',refl_axiom_r) ).
thf(f30,conjecture,
! [X0: $i > $o] : ( cs4_valid @ ( cs4_impl @ ( cs4_box @ ( cs4_atom @ X0 ) ) @ ( cs4_atom @ X0 ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cs4_refl) ).
thf(f31,negated_conjecture,
~ ! [X0: $i > $o] : ( cs4_valid @ ( cs4_impl @ ( cs4_box @ ( cs4_atom @ X0 ) ) @ ( cs4_atom @ X0 ) ) ),
inference(negated_conjecture,[status(cth)],[f30]) ).
thf(f34,plain,
( mnot
= ( ^ [X0: $i > $o,X1: $i] :
~ ( X0 @ X1 ) ) ),
inference(rectify,[],[f3]) ).
thf(f35,plain,
( mnot
= ( ^ [Y0: $i > $o,Y1: $i] :
~ ( Y0 @ Y1 ) ) ),
inference(fool_elimination,[],[f34]) ).
thf(f36,plain,
( mor
= ( ^ [X0: $i > $o,X1: $i > $o,X2: $i] :
( ( X1 @ X2 )
| ( X0 @ X2 ) ) ) ),
inference(rectify,[],[f4]) ).
thf(f37,plain,
( mor
= ( ^ [Y0: $i > $o,Y1: $i > $o,Y2: $i] :
( ( Y0 @ Y2 )
| ( Y1 @ Y2 ) ) ) ),
inference(fool_elimination,[],[f36]) ).
thf(f40,plain,
( mimpl
= ( ^ [Y0: $i > $o,Y1: $i > $o] : ( mor @ ( mnot @ Y0 ) @ Y1 ) ) ),
inference(fool_elimination,[],[f6]) ).
thf(f42,plain,
( mbox
= ( ^ [X0: $i > $i > $o,X1: $i > $o,X2: $i] :
! [X3: $i] :
( ( X0 @ X2 @ X3 )
=> ( X1 @ X3 ) ) ) ),
inference(rectify,[],[f8]) ).
thf(f43,plain,
( mbox
= ( ^ [Y0: $i > $i > $o,Y1: $i > $o,Y2: $i] :
( !! @ $i
@ ^ [Y3: $i] :
( ( Y0 @ Y2 @ Y3 )
=> ( Y1 @ Y3 ) ) ) ) ),
inference(fool_elimination,[],[f42]) ).
thf(f50,plain,
( mvalid
= ( ^ [X0: $i > $o] :
! [X1: $i] : ( X0 @ X1 ) ) ),
inference(rectify,[],[f12]) ).
thf(f51,plain,
( mvalid
= ( ^ [Y0: $i > $o] :
( !! @ $i
@ ^ [Y1: $i] : ( Y0 @ Y1 ) ) ) ),
inference(fool_elimination,[],[f50]) ).
thf(f58,plain,
( cs4_atom
= ( ^ [Y0: $i > $o] : ( mbox @ reli @ Y0 ) ) ),
inference(fool_elimination,[],[f16]) ).
thf(f61,plain,
( cs4_impl
= ( ^ [Y0: $i > $o,Y1: $i > $o] : ( mbox @ reli @ ( mimpl @ Y0 @ Y1 ) ) ) ),
inference(fool_elimination,[],[f19]) ).
thf(f63,plain,
( cs4_box
= ( ^ [Y0: $i > $o] : ( mbox @ reli @ ( mbox @ relr @ Y0 ) ) ) ),
inference(fool_elimination,[],[f23]) ).
thf(f64,plain,
( cs4_valid
= ( ^ [Y0: $i > $o] : ( mvalid @ Y0 ) ) ),
inference(fool_elimination,[],[f24]) ).
thf(f65,plain,
! [X0: $i > $o] : ( mvalid @ ( mimpl @ ( mbox @ reli @ X0 ) @ X0 ) ),
inference(rectify,[],[f25]) ).
thf(f66,plain,
! [X0: $i > $o] :
( ( mvalid @ ( mimpl @ ( mbox @ reli @ X0 ) @ X0 ) )
= $true ),
inference(fool_elimination,[],[f65]) ).
thf(f67,plain,
! [X0: $i > $o] : ( mvalid @ ( mimpl @ ( mbox @ relr @ X0 ) @ X0 ) ),
inference(rectify,[],[f26]) ).
thf(f68,plain,
! [X0: $i > $o] :
( ( mvalid @ ( mimpl @ ( mbox @ relr @ X0 ) @ X0 ) )
= $true ),
inference(fool_elimination,[],[f67]) ).
thf(f75,plain,
~ ! [X0: $i > $o] : ( cs4_valid @ ( cs4_impl @ ( cs4_box @ ( cs4_atom @ X0 ) ) @ ( cs4_atom @ X0 ) ) ),
inference(rectify,[],[f31]) ).
thf(f76,plain,
~ ! [X0: $i > $o] :
( ( cs4_valid @ ( cs4_impl @ ( cs4_box @ ( cs4_atom @ X0 ) ) @ ( cs4_atom @ X0 ) ) )
= $true ),
inference(fool_elimination,[],[f75]) ).
thf(f77,plain,
? [X0: $i > $o] :
( ( cs4_valid @ ( cs4_impl @ ( cs4_box @ ( cs4_atom @ X0 ) ) @ ( cs4_atom @ X0 ) ) )
!= $true ),
inference(ennf_transformation,[],[f76]) ).
thf(f78,plain,
( $true
!= ( cs4_valid @ ( cs4_impl @ ( cs4_box @ ( cs4_atom @ sK0 ) ) @ ( cs4_atom @ sK0 ) ) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK0]),skolemize(X0,sK0)],[f77]) ).
thf(f81,plain,
( mnot
= ( ^ [Y0: $i > $o,Y1: $i] :
~ ( Y0 @ Y1 ) ) ),
inference(cnf_transformation,[],[f35]) ).
thf(f82,plain,
( mor
= ( ^ [Y0: $i > $o,Y1: $i > $o,Y2: $i] :
( ( Y0 @ Y2 )
| ( Y1 @ Y2 ) ) ) ),
inference(cnf_transformation,[],[f37]) ).
thf(f84,plain,
( mimpl
= ( ^ [Y0: $i > $o,Y1: $i > $o] : ( mor @ ( mnot @ Y0 ) @ Y1 ) ) ),
inference(cnf_transformation,[],[f40]) ).
thf(f86,plain,
( mbox
= ( ^ [Y0: $i > $i > $o,Y1: $i > $o,Y2: $i] :
( !! @ $i
@ ^ [Y3: $i] :
( ( Y0 @ Y2 @ Y3 )
=> ( Y1 @ Y3 ) ) ) ) ),
inference(cnf_transformation,[],[f43]) ).
thf(f90,plain,
( mvalid
= ( ^ [Y0: $i > $o] :
( !! @ $i
@ ^ [Y1: $i] : ( Y0 @ Y1 ) ) ) ),
inference(cnf_transformation,[],[f51]) ).
thf(f94,plain,
( cs4_atom
= ( ^ [Y0: $i > $o] : ( mbox @ reli @ Y0 ) ) ),
inference(cnf_transformation,[],[f58]) ).
thf(f97,plain,
( cs4_impl
= ( ^ [Y0: $i > $o,Y1: $i > $o] : ( mbox @ reli @ ( mimpl @ Y0 @ Y1 ) ) ) ),
inference(cnf_transformation,[],[f61]) ).
thf(f101,plain,
( cs4_box
= ( ^ [Y0: $i > $o] : ( mbox @ reli @ ( mbox @ relr @ Y0 ) ) ) ),
inference(cnf_transformation,[],[f63]) ).
thf(f102,plain,
( cs4_valid
= ( ^ [Y0: $i > $o] : ( mvalid @ Y0 ) ) ),
inference(cnf_transformation,[],[f64]) ).
thf(f103,plain,
! [X0: $i > $o] :
( ( mvalid @ ( mimpl @ ( mbox @ reli @ X0 ) @ X0 ) )
= $true ),
inference(cnf_transformation,[],[f66]) ).
thf(f104,plain,
! [X0: $i > $o] :
( ( mvalid @ ( mimpl @ ( mbox @ relr @ X0 ) @ X0 ) )
= $true ),
inference(cnf_transformation,[],[f68]) ).
thf(f108,plain,
( $true
!= ( cs4_valid @ ( cs4_impl @ ( cs4_box @ ( cs4_atom @ sK0 ) ) @ ( cs4_atom @ sK0 ) ) ) ),
inference(cnf_transformation,[],[f78]) ).
thf(f111,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,[],[f84,f82,f81]) ).
thf(f113,plain,
( cs4_atom
= ( ^ [Y0: $i > $o] :
( ^ [Y1: $i > $i > $o,Y2: $i > $o,Y3: $i] :
( !! @ $i
@ ^ [Y4: $i] :
( ( Y1 @ Y3 @ Y4 )
=> ( Y2 @ Y4 ) ) )
@ reli
@ Y0 ) ) ),
inference(definition_unfolding,[],[f94,f86]) ).
thf(f116,plain,
( cs4_impl
= ( ^ [Y0: $i > $o,Y1: $i > $o] :
( ^ [Y2: $i > $i > $o,Y3: $i > $o,Y4: $i] :
( !! @ $i
@ ^ [Y5: $i] :
( ( Y2 @ Y4 @ Y5 )
=> ( Y3 @ Y5 ) ) )
@ reli
@ ( ^ [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,f86,f111]) ).
thf(f120,plain,
( cs4_box
= ( ^ [Y0: $i > $o] :
( ^ [Y1: $i > $i > $o,Y2: $i > $o,Y3: $i] :
( !! @ $i
@ ^ [Y4: $i] :
( ( Y1 @ Y3 @ Y4 )
=> ( Y2 @ Y4 ) ) )
@ reli
@ ( ^ [Y1: $i > $i > $o,Y2: $i > $o,Y3: $i] :
( !! @ $i
@ ^ [Y4: $i] :
( ( Y1 @ Y3 @ Y4 )
=> ( Y2 @ Y4 ) ) )
@ relr
@ Y0 ) ) ) ),
inference(definition_unfolding,[],[f101,f86,f86]) ).
thf(f121,plain,
( cs4_valid
= ( ^ [Y0: $i > $o] :
( ^ [Y1: $i > $o] :
( !! @ $i
@ ^ [Y2: $i] : ( Y1 @ Y2 ) )
@ Y0 ) ) ),
inference(definition_unfolding,[],[f102,f90]) ).
thf(f122,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 ) ) )
@ reli
@ X0 )
@ X0 ) ) ),
inference(definition_unfolding,[],[f103,f90,f111,f86]) ).
thf(f123,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 ) ) )
@ relr
@ X0 )
@ X0 ) ) ),
inference(definition_unfolding,[],[f104,f90,f111,f86]) ).
thf(f127,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 ) ) )
@ reli
@ ( ^ [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 ) ) )
@ reli
@ ( ^ [Y1: $i > $i > $o,Y2: $i > $o,Y3: $i] :
( !! @ $i
@ ^ [Y4: $i] :
( ( Y1 @ Y3 @ Y4 )
=> ( Y2 @ Y4 ) ) )
@ relr
@ Y0 ) )
@ ( ^ [Y0: $i > $o] :
( ^ [Y1: $i > $i > $o,Y2: $i > $o,Y3: $i] :
( !! @ $i
@ ^ [Y4: $i] :
( ( Y1 @ Y3 @ Y4 )
=> ( Y2 @ Y4 ) ) )
@ reli
@ Y0 )
@ sK0 ) )
@ ( ^ [Y0: $i > $o] :
( ^ [Y1: $i > $i > $o,Y2: $i > $o,Y3: $i] :
( !! @ $i
@ ^ [Y4: $i] :
( ( Y1 @ Y3 @ Y4 )
=> ( Y2 @ Y4 ) ) )
@ reli
@ Y0 )
@ sK0 ) ) ) ),
inference(definition_unfolding,[],[f108,f121,f116,f120,f113,f113]) ).
thf(f128,plain,
( $true
!= ( !! @ $i
@ ^ [Y0: $i] :
( !! @ $i
@ ^ [Y1: $i] :
( ( reli @ Y0 @ Y1 )
=> ( ~ ( !! @ $i
@ ^ [Y2: $i] :
( ( reli @ Y1 @ Y2 )
=> ( !! @ $i
@ ^ [Y3: $i] :
( ( relr @ Y2 @ Y3 )
=> ( !! @ $i
@ ^ [Y4: $i] :
( ( reli @ Y3 @ Y4 )
=> ( sK0 @ Y4 ) ) ) ) ) ) )
| ( !! @ $i
@ ^ [Y2: $i] :
( ( reli @ Y1 @ Y2 )
=> ( sK0 @ Y2 ) ) ) ) ) ) ) ),
inference(beta-eta_normalization,[],[f127]) ).
thf(f129,plain,
( $false
= ( ^ [Y0: $i] :
( !! @ $i
@ ^ [Y1: $i] :
( ( reli @ Y0 @ Y1 )
=> ( ~ ( !! @ $i
@ ^ [Y2: $i] :
( ( reli @ Y1 @ Y2 )
=> ( !! @ $i
@ ^ [Y3: $i] :
( ( relr @ Y2 @ Y3 )
=> ( !! @ $i
@ ^ [Y4: $i] :
( ( reli @ Y3 @ Y4 )
=> ( sK0 @ Y4 ) ) ) ) ) ) )
| ( !! @ $i
@ ^ [Y2: $i] :
( ( reli @ Y1 @ Y2 )
=> ( sK0 @ Y2 ) ) ) ) ) )
@ sK1 ) ),
inference(sigma_proxy_clausification,[],[f128]) ).
thf(f130,plain,
( $false
= ( !! @ $i
@ ^ [Y0: $i] :
( ( reli @ sK1 @ Y0 )
=> ( ~ ( !! @ $i
@ ^ [Y1: $i] :
( ( reli @ Y0 @ Y1 )
=> ( !! @ $i
@ ^ [Y2: $i] :
( ( relr @ Y1 @ Y2 )
=> ( !! @ $i
@ ^ [Y3: $i] :
( ( reli @ Y2 @ Y3 )
=> ( sK0 @ Y3 ) ) ) ) ) ) )
| ( !! @ $i
@ ^ [Y1: $i] :
( ( reli @ Y0 @ Y1 )
=> ( sK0 @ Y1 ) ) ) ) ) ) ),
inference(beta-eta_normalization,[],[f129]) ).
thf(f131,plain,
( $false
= ( ^ [Y0: $i] :
( ( reli @ sK1 @ Y0 )
=> ( ~ ( !! @ $i
@ ^ [Y1: $i] :
( ( reli @ Y0 @ Y1 )
=> ( !! @ $i
@ ^ [Y2: $i] :
( ( relr @ Y1 @ Y2 )
=> ( !! @ $i
@ ^ [Y3: $i] :
( ( reli @ Y2 @ Y3 )
=> ( sK0 @ Y3 ) ) ) ) ) ) )
| ( !! @ $i
@ ^ [Y1: $i] :
( ( reli @ Y0 @ Y1 )
=> ( sK0 @ Y1 ) ) ) ) )
@ sK2 ) ),
inference(sigma_proxy_clausification,[],[f130]) ).
thf(f132,plain,
( $false
= ( ( reli @ sK1 @ sK2 )
=> ( ~ ( !! @ $i
@ ^ [Y0: $i] :
( ( reli @ sK2 @ Y0 )
=> ( !! @ $i
@ ^ [Y1: $i] :
( ( relr @ Y0 @ Y1 )
=> ( !! @ $i
@ ^ [Y2: $i] :
( ( reli @ Y1 @ Y2 )
=> ( sK0 @ Y2 ) ) ) ) ) ) )
| ( !! @ $i
@ ^ [Y0: $i] :
( ( reli @ sK2 @ Y0 )
=> ( sK0 @ Y0 ) ) ) ) ) ),
inference(beta-eta_normalization,[],[f131]) ).
thf(f133,plain,
( $false
= ( ~ ( !! @ $i
@ ^ [Y0: $i] :
( ( reli @ sK2 @ Y0 )
=> ( !! @ $i
@ ^ [Y1: $i] :
( ( relr @ Y0 @ Y1 )
=> ( !! @ $i
@ ^ [Y2: $i] :
( ( reli @ Y1 @ Y2 )
=> ( sK0 @ Y2 ) ) ) ) ) ) )
| ( !! @ $i
@ ^ [Y0: $i] :
( ( reli @ sK2 @ Y0 )
=> ( sK0 @ Y0 ) ) ) ) ),
inference(imp_proxy_clausification,[],[f132]) ).
thf(f135,plain,
( $false
= ( !! @ $i
@ ^ [Y0: $i] :
( ( reli @ sK2 @ Y0 )
=> ( sK0 @ Y0 ) ) ) ),
inference(or_proxy_clausification,[],[f133]) ).
thf(f136,plain,
( $false
= ( ~ ( !! @ $i
@ ^ [Y0: $i] :
( ( reli @ sK2 @ Y0 )
=> ( !! @ $i
@ ^ [Y1: $i] :
( ( relr @ Y0 @ Y1 )
=> ( !! @ $i
@ ^ [Y2: $i] :
( ( reli @ Y1 @ Y2 )
=> ( sK0 @ Y2 ) ) ) ) ) ) ) ) ),
inference(or_proxy_clausification,[],[f133]) ).
thf(f137,plain,
( $true
= ( !! @ $i
@ ^ [Y0: $i] :
( ( reli @ sK2 @ Y0 )
=> ( !! @ $i
@ ^ [Y1: $i] :
( ( relr @ Y0 @ Y1 )
=> ( !! @ $i
@ ^ [Y2: $i] :
( ( reli @ Y1 @ Y2 )
=> ( sK0 @ Y2 ) ) ) ) ) ) ) ),
inference(not_proxy_clausification,[],[f136]) ).
thf(f138,plain,
! [X1: $i] :
( $true
= ( ^ [Y0: $i] :
( ( reli @ sK2 @ Y0 )
=> ( !! @ $i
@ ^ [Y1: $i] :
( ( relr @ Y0 @ Y1 )
=> ( !! @ $i
@ ^ [Y2: $i] :
( ( reli @ Y1 @ Y2 )
=> ( sK0 @ Y2 ) ) ) ) ) )
@ X1 ) ),
inference(pi_proxy_clausification,[],[f137]) ).
thf(f139,plain,
! [X1: $i] :
( $true
= ( ( reli @ sK2 @ X1 )
=> ( !! @ $i
@ ^ [Y0: $i] :
( ( relr @ X1 @ Y0 )
=> ( !! @ $i
@ ^ [Y1: $i] :
( ( reli @ Y0 @ Y1 )
=> ( sK0 @ Y1 ) ) ) ) ) ) ),
inference(beta-eta_normalization,[],[f138]) ).
thf(f140,plain,
! [X1: $i] :
( ( $false
= ( reli @ sK2 @ X1 ) )
| ( $true
= ( !! @ $i
@ ^ [Y0: $i] :
( ( relr @ X1 @ Y0 )
=> ( !! @ $i
@ ^ [Y1: $i] :
( ( reli @ Y0 @ Y1 )
=> ( sK0 @ Y1 ) ) ) ) ) ) ),
inference(imp_proxy_clausification,[],[f139]) ).
thf(f141,plain,
! [X2: $i,X1: $i] :
( ( $false
= ( reli @ sK2 @ X1 ) )
| ( $true
= ( ^ [Y0: $i] :
( ( relr @ X1 @ Y0 )
=> ( !! @ $i
@ ^ [Y1: $i] :
( ( reli @ Y0 @ Y1 )
=> ( sK0 @ Y1 ) ) ) )
@ X2 ) ) ),
inference(pi_proxy_clausification,[],[f140]) ).
thf(f142,plain,
! [X2: $i,X1: $i] :
( ( $false
= ( reli @ sK2 @ X1 ) )
| ( $true
= ( ( relr @ X1 @ X2 )
=> ( !! @ $i
@ ^ [Y0: $i] :
( ( reli @ X2 @ Y0 )
=> ( sK0 @ Y0 ) ) ) ) ) ),
inference(beta-eta_normalization,[],[f141]) ).
thf(f143,plain,
! [X2: $i,X1: $i] :
( ( $false
= ( reli @ sK2 @ X1 ) )
| ( $false
= ( relr @ X1 @ X2 ) )
| ( $true
= ( !! @ $i
@ ^ [Y0: $i] :
( ( reli @ X2 @ Y0 )
=> ( sK0 @ Y0 ) ) ) ) ),
inference(imp_proxy_clausification,[],[f142]) ).
thf(f144,plain,
! [X2: $i,X3: $i,X1: $i] :
( ( $false
= ( reli @ sK2 @ X1 ) )
| ( $false
= ( relr @ X1 @ X2 ) )
| ( $true
= ( ^ [Y0: $i] :
( ( reli @ X2 @ Y0 )
=> ( sK0 @ Y0 ) )
@ X3 ) ) ),
inference(pi_proxy_clausification,[],[f143]) ).
thf(f145,plain,
! [X2: $i,X3: $i,X1: $i] :
( ( $false
= ( reli @ sK2 @ X1 ) )
| ( $false
= ( relr @ X1 @ X2 ) )
| ( $true
= ( ( reli @ X2 @ X3 )
=> ( sK0 @ X3 ) ) ) ),
inference(beta-eta_normalization,[],[f144]) ).
thf(f146,plain,
! [X2: $i,X3: $i,X1: $i] :
( ( $false
= ( relr @ X1 @ X2 ) )
| ( $false
= ( reli @ X2 @ X3 ) )
| ( $false
= ( reli @ sK2 @ X1 ) )
| ( $true
= ( sK0 @ X3 ) ) ),
inference(imp_proxy_clausification,[],[f145]) ).
thf(f147,plain,
( $false
= ( ^ [Y0: $i] :
( ( reli @ sK2 @ Y0 )
=> ( sK0 @ Y0 ) )
@ sK3 ) ),
inference(sigma_proxy_clausification,[],[f135]) ).
thf(f148,plain,
( $false
= ( ( reli @ sK2 @ sK3 )
=> ( sK0 @ sK3 ) ) ),
inference(beta-eta_normalization,[],[f147]) ).
thf(f149,plain,
( $false
= ( sK0 @ sK3 ) ),
inference(imp_proxy_clausification,[],[f148]) ).
thf(f150,plain,
( $true
= ( reli @ sK2 @ sK3 ) ),
inference(imp_proxy_clausification,[],[f148]) ).
thf(f206,plain,
! [X0: $i > $o] :
( $true
= ( !! @ $i
@ ^ [Y0: $i] :
( ~ ( !! @ $i
@ ^ [Y1: $i] :
( ( relr @ Y0 @ Y1 )
=> ( X0 @ Y1 ) ) )
| ( X0 @ Y0 ) ) ) ),
inference(beta-eta_normalization,[],[f123]) ).
thf(f207,plain,
! [X0: $i > $o,X1: $i] :
( $true
= ( ^ [Y0: $i] :
( ~ ( !! @ $i
@ ^ [Y1: $i] :
( ( relr @ Y0 @ Y1 )
=> ( X0 @ Y1 ) ) )
| ( X0 @ Y0 ) )
@ X1 ) ),
inference(pi_proxy_clausification,[],[f206]) ).
thf(f208,plain,
! [X0: $i > $o,X1: $i] :
( $true
= ( ~ ( !! @ $i
@ ^ [Y0: $i] :
( ( relr @ X1 @ Y0 )
=> ( X0 @ Y0 ) ) )
| ( X0 @ X1 ) ) ),
inference(beta-eta_normalization,[],[f207]) ).
thf(f209,plain,
! [X0: $i > $o,X1: $i] :
( ( ( X0 @ X1 )
= $true )
| ( $true
= ( ~ ( !! @ $i
@ ^ [Y0: $i] :
( ( relr @ X1 @ Y0 )
=> ( X0 @ Y0 ) ) ) ) ) ),
inference(or_proxy_clausification,[],[f208]) ).
thf(f210,plain,
! [X0: $i > $o,X1: $i] :
( ( ( X0 @ X1 )
= $true )
| ( $false
= ( !! @ $i
@ ^ [Y0: $i] :
( ( relr @ X1 @ Y0 )
=> ( X0 @ Y0 ) ) ) ) ),
inference(not_proxy_clausification,[],[f209]) ).
thf(f211,plain,
! [X0: $i > $o,X1: $i] :
( ( ( X0 @ X1 )
= $true )
| ( $false
= ( ^ [Y0: $i] :
( ( relr @ X1 @ Y0 )
=> ( X0 @ Y0 ) )
@ ( sK8 @ X1 @ X0 ) ) ) ),
inference(sigma_proxy_clausification,[],[f210]) ).
thf(f212,plain,
! [X0: $i > $o,X1: $i] :
( ( ( X0 @ X1 )
= $true )
| ( $false
= ( ( relr @ X1 @ ( sK8 @ X1 @ X0 ) )
=> ( X0 @ ( sK8 @ X1 @ X0 ) ) ) ) ),
inference(beta-eta_normalization,[],[f211]) ).
thf(f213,plain,
! [X0: $i > $o,X1: $i] :
( ( $false
= ( X0 @ ( sK8 @ X1 @ X0 ) ) )
| ( ( X0 @ X1 )
= $true ) ),
inference(imp_proxy_clausification,[],[f212]) ).
thf(f214,plain,
! [X0: $i > $o,X1: $i] :
( ( $true
= ( relr @ X1 @ ( sK8 @ X1 @ X0 ) ) )
| ( ( X0 @ X1 )
= $true ) ),
inference(imp_proxy_clausification,[],[f212]) ).
thf(f215,plain,
! [X0: $i > $o] :
( $true
= ( !! @ $i
@ ^ [Y0: $i] :
( ~ ( !! @ $i
@ ^ [Y1: $i] :
( ( reli @ Y0 @ Y1 )
=> ( X0 @ Y1 ) ) )
| ( X0 @ Y0 ) ) ) ),
inference(beta-eta_normalization,[],[f122]) ).
thf(f216,plain,
! [X0: $i > $o,X1: $i] :
( $true
= ( ^ [Y0: $i] :
( ~ ( !! @ $i
@ ^ [Y1: $i] :
( ( reli @ Y0 @ Y1 )
=> ( X0 @ Y1 ) ) )
| ( X0 @ Y0 ) )
@ X1 ) ),
inference(pi_proxy_clausification,[],[f215]) ).
thf(f217,plain,
! [X0: $i > $o,X1: $i] :
( $true
= ( ~ ( !! @ $i
@ ^ [Y0: $i] :
( ( reli @ X1 @ Y0 )
=> ( X0 @ Y0 ) ) )
| ( X0 @ X1 ) ) ),
inference(beta-eta_normalization,[],[f216]) ).
thf(f218,plain,
! [X0: $i > $o,X1: $i] :
( ( ( X0 @ X1 )
= $true )
| ( $true
= ( ~ ( !! @ $i
@ ^ [Y0: $i] :
( ( reli @ X1 @ Y0 )
=> ( X0 @ Y0 ) ) ) ) ) ),
inference(or_proxy_clausification,[],[f217]) ).
thf(f219,plain,
! [X0: $i > $o,X1: $i] :
( ( ( X0 @ X1 )
= $true )
| ( $false
= ( !! @ $i
@ ^ [Y0: $i] :
( ( reli @ X1 @ Y0 )
=> ( X0 @ Y0 ) ) ) ) ),
inference(not_proxy_clausification,[],[f218]) ).
thf(f220,plain,
! [X0: $i > $o,X1: $i] :
( ( ( X0 @ X1 )
= $true )
| ( $false
= ( ^ [Y0: $i] :
( ( reli @ X1 @ Y0 )
=> ( X0 @ Y0 ) )
@ ( sK9 @ X1 @ X0 ) ) ) ),
inference(sigma_proxy_clausification,[],[f219]) ).
thf(f221,plain,
! [X0: $i > $o,X1: $i] :
( ( ( X0 @ X1 )
= $true )
| ( $false
= ( ( reli @ X1 @ ( sK9 @ X1 @ X0 ) )
=> ( X0 @ ( sK9 @ X1 @ X0 ) ) ) ) ),
inference(beta-eta_normalization,[],[f220]) ).
thf(f222,plain,
! [X0: $i > $o,X1: $i] :
( ( $false
= ( X0 @ ( sK9 @ X1 @ X0 ) ) )
| ( ( X0 @ X1 )
= $true ) ),
inference(imp_proxy_clausification,[],[f221]) ).
thf(f223,plain,
! [X0: $i > $o,X1: $i] :
( ( $true
= ( reli @ X1 @ ( sK9 @ X1 @ X0 ) ) )
| ( ( X0 @ X1 )
= $true ) ),
inference(imp_proxy_clausification,[],[f221]) ).
thf(f1311,plain,
! [X2: $i,X0: $i,X1: $i > $o] :
( ( $false = $true )
| ( $false
= ( relr @ X2 @ X0 ) )
| ( $false
= ( reli @ sK2 @ X2 ) )
| ( $true
= ( sK0 @ ( sK9 @ X0 @ X1 ) ) )
| ( $true
= ( X1 @ X0 ) ) ),
inference(constrained_superposition,[],[f146,f223]) ).
thf(f1340,plain,
! [X2: $i,X0: $i,X1: $i > $o] :
( ( $true
= ( sK0 @ ( sK9 @ X0 @ X1 ) ) )
| ( $false
= ( relr @ X2 @ X0 ) )
| ( $false
= ( reli @ sK2 @ X2 ) )
| ( $true
= ( X1 @ X0 ) ) ),
inference(trivial_inequality_removal,[],[f1311]) ).
thf(f1363,plain,
! [X2: $i > $o,X3: $i,X0: $i,X1: $i] :
( ( $false = $true )
| ( $true
= ( ^ [Y0: $i] :
( sK0
@ ( ^ [Y1: $i] : Y1
@ Y0 ) )
@ X0 ) )
| ( $false
= ( relr @ X3 @ X1 ) )
| ( $false
= ( reli @ sK2 @ X3 ) )
| ( $true
= ( X2 @ X1 ) )
| ( X0 != X1 )
| ( sK0 != X2 ) ),
inference(constrained_superposition,[],[f222,f1340]) ).
thf(f1385,plain,
! [X2: $i > $o,X3: $i,X0: $i,X1: $i] :
( ( $true
= ( ^ [Y0: $i] :
( sK0
@ ( ^ [Y1: $i] : Y1
@ Y0 ) )
@ X0 ) )
| ( $false
= ( relr @ X3 @ X1 ) )
| ( $false
= ( reli @ sK2 @ X3 ) )
| ( $true
= ( X2 @ X1 ) )
| ( X0 != X1 )
| ( sK0 != X2 ) ),
inference(trivial_inequality_removal,[],[f1363]) ).
thf(f1386,plain,
! [X2: $i > $o,X3: $i,X0: $i,X1: $i] :
( ( sK0 != X2 )
| ( $false
= ( relr @ X3 @ X1 ) )
| ( $false
= ( reli @ sK2 @ X3 ) )
| ( $true
= ( X2 @ X1 ) )
| ( $true
= ( sK0 @ X0 ) )
| ( X0 != X1 ) ),
inference(beta-eta_normalization,[],[f1385]) ).
thf(f1459,plain,
! [X2: $i,X0: $i,X1: $i] :
( ( $false
= ( relr @ X0 @ X1 ) )
| ( $true
= ( sK0 @ X2 ) )
| ( $true
= ( sK0 @ X1 ) )
| ( $false
= ( reli @ sK2 @ X0 ) )
| ( X1 != X2 ) ),
inference(equality_resolution,[],[f1386]) ).
thf(f1468,plain,
! [X2: $i,X0: $i,X1: $i > $o] :
( ( $false = $true )
| ( $true
= ( X1 @ X0 ) )
| ( $true
= ( sK0 @ X2 ) )
| ( $true
= ( sK0 @ ( sK8 @ X0 @ X1 ) ) )
| ( $false
= ( reli @ sK2 @ X0 ) )
| ( ( sK8 @ X0 @ X1 )
!= X2 ) ),
inference(constrained_superposition,[],[f214,f1459]) ).
thf(f1485,plain,
! [X2: $i,X0: $i,X1: $i > $o] :
( ( ( sK8 @ X0 @ X1 )
!= X2 )
| ( $true
= ( sK0 @ X2 ) )
| ( $true
= ( sK0 @ ( sK8 @ X0 @ X1 ) ) )
| ( $false
= ( reli @ sK2 @ X0 ) )
| ( $true
= ( X1 @ X0 ) ) ),
inference(trivial_inequality_removal,[],[f1468]) ).
thf(f1607,plain,
! [X0: $i,X1: $i > $o] :
( ( $true
= ( sK0 @ ( sK8 @ X0 @ X1 ) ) )
| ( $true
= ( sK0 @ ( sK8 @ X0 @ X1 ) ) )
| ( $false
= ( reli @ sK2 @ X0 ) )
| ( $true
= ( X1 @ X0 ) ) ),
inference(equality_resolution,[],[f1485]) ).
thf(f1608,plain,
! [X0: $i,X1: $i > $o] :
( ( $true
= ( sK0 @ ( sK8 @ X0 @ X1 ) ) )
| ( $false
= ( reli @ sK2 @ X0 ) )
| ( $true
= ( X1 @ X0 ) ) ),
inference(duplicate_literal_removal,[],[f1607]) ).
thf(f1614,plain,
! [X2: $i > $o,X0: $i,X1: $i] :
( ( $false = $true )
| ( $true
= ( ^ [Y0: $i] :
( sK0
@ ( ^ [Y1: $i] : Y1
@ Y0 ) )
@ X0 ) )
| ( $false
= ( reli @ sK2 @ X1 ) )
| ( $true
= ( X2 @ X1 ) )
| ( X0 != X1 )
| ( sK0 != X2 ) ),
inference(constrained_superposition,[],[f213,f1608]) ).
thf(f1630,plain,
! [X2: $i > $o,X0: $i,X1: $i] :
( ( $true
= ( ^ [Y0: $i] :
( sK0
@ ( ^ [Y1: $i] : Y1
@ Y0 ) )
@ X0 ) )
| ( $false
= ( reli @ sK2 @ X1 ) )
| ( $true
= ( X2 @ X1 ) )
| ( X0 != X1 )
| ( sK0 != X2 ) ),
inference(trivial_inequality_removal,[],[f1614]) ).
thf(f1631,plain,
! [X2: $i > $o,X0: $i,X1: $i] :
( ( sK0 != X2 )
| ( $false
= ( reli @ sK2 @ X1 ) )
| ( $true
= ( X2 @ X1 ) )
| ( $true
= ( sK0 @ X0 ) )
| ( X0 != X1 ) ),
inference(beta-eta_normalization,[],[f1630]) ).
thf(f1791,plain,
! [X0: $i,X1: $i] :
( ( $false
= ( reli @ sK2 @ X0 ) )
| ( $true
= ( sK0 @ X1 ) )
| ( $true
= ( sK0 @ X0 ) )
| ( X0 != X1 ) ),
inference(equality_resolution,[],[f1631]) ).
thf(f1804,plain,
! [X0: $i] :
( ( $false = $true )
| ( $true
= ( sK0 @ X0 ) )
| ( $true
= ( sK0 @ sK3 ) )
| ( sK3 != X0 ) ),
inference(constrained_superposition,[],[f150,f1791]) ).
thf(f1821,plain,
! [X0: $i] :
( ( $true
= ( sK0 @ X0 ) )
| ( $true
= ( sK0 @ sK3 ) )
| ( sK3 != X0 ) ),
inference(trivial_inequality_removal,[],[f1804]) ).
thf(f1834,plain,
! [X0: $i] :
( ( $false = $true )
| ( $true
= ( sK0 @ X0 ) )
| ( sK3 != X0 ) ),
inference(forward_demodulation,[],[f1821,f149]) ).
thf(f1835,plain,
! [X0: $i] :
( ( sK3 != X0 )
| ( $true
= ( sK0 @ X0 ) ) ),
inference(trivial_inequality_removal,[],[f1834]) ).
thf(f1838,plain,
( $true
= ( sK0 @ sK3 ) ),
inference(equality_resolution,[],[f1835]) ).
thf(f1839,plain,
$false = $true,
inference(forward_demodulation,[],[f1838,f149]) ).
thf(f1840,plain,
$false,
inference(trivial_inequality_removal,[],[f1839]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : LCL691^1 : TPTP v9.3.1. Released v3.7.0.
% 0.00/0.06 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.08/0.19 % Computer : n026.cluster.edu
% 0.08/0.19 % Model : x86_64 x86_64
% 0.08/0.19 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.19 % Memory : 8046.5625MB
% 0.08/0.19 % OS : Linux 6.8.0-71-generic
% 0.08/0.19 % CPULimit : 300
% 0.08/0.19 % WCLimit : 300
% 0.08/0.19 % DateTime : Tue Sep 29 09:37:27 UTC 2026
% 0.08/0.19 % CPUTime :
% 0.08/0.19 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.08/0.22 Running first-order model finding
% 0.08/0.23 Running: /export/starexec/sandbox/solver/bin/vampire-ho --input_syntax tptp --output_axiom_names on --mode casc --intent sat -m 16384 --cores 7 -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.22/0.32 % (361554)Will run a generic schedule for satisfiability detection.
% 0.22/0.32 % (361561)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=2096984062:i=88024:add=on:rawr=on_2999 on theBenchmark for (2999ds/88024Mi)
% 0.22/0.32 % (361560)% WARNING: option uhcvi not known.
% 0.22/0.32 % (361559)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=788518844_2999 on theBenchmark for (2999ds/0Mi)
% 0.22/0.32 % (361560)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=2853237646:i=135531:add=off:rawr=on_2999 on theBenchmark for (2999ds/135531Mi)
% 0.22/0.32 % (361562)dis+10_1_sil=32000:sp=arity:random_seed=2220960764:i=103:fgj=on_2999 on theBenchmark for (2999ds/103Mi)
% 0.22/0.32 % (361565)ott-3_16_to=lpo:sil=16000:sp=arity:fd=off:rp=on:random_seed=802322324:i=159:bs=unit_only:nicw=on:fsr=off:amm=off_2999 on theBenchmark for (2999ds/159Mi)
% 0.22/0.32 % (361563)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=552842154:i=116_2999 on theBenchmark for (2999ds/116Mi)
% 0.22/0.32 % (361560)WARNING: Not using 'newcnf' as currently not compatible with higher-order inputs.
% 0.22/0.32 % (361563)WARNING: Not using 'newcnf' as currently not compatible with higher-order inputs.
% 0.22/0.32 % Exception at run slice level
% 0.22/0.32 User error: Finite model building is currently not compatible with polymorphism or higher-order constructs
% 0.22/0.32 % (361560)WARNING: Look ahead literal selection is not currently compatible with higher-order. Ignoring request to use
% 0.22/0.32 % (361564)ott+1_1_to=lpo:sil=16000:sp=reverse_arity:erd=off:random_seed=2755077507:i=131_2999 on theBenchmark for (2999ds/131Mi)
% 0.22/0.32 % (361572)fmb+10_1_fmbas=predicate:sil=64000:sas=cadical:random_seed=194116393:i=714:nm=2_2999 on theBenchmark for (2999ds/714Mi)
% 0.22/0.32 % Exception at run slice level
% 0.22/0.32 User error: Finite model building is currently not compatible with polymorphism or higher-order constructs
% 0.22/0.32 % (361561) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-361554-361561"...
% 0.22/0.32 % (361561)...printing done.
% 0.22/0.32 % (361561)Refutation found. Thanks to Tanya!
% 0.22/0.32 % SZS status Theorem for theBenchmark
% 0.22/0.32 % SZS output start Proof for theBenchmark
% See solution above
% 0.22/0.32 % (361561)------------------------------
% 0.22/0.32 % (361561)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.22/0.32 % (361561)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.22/0.32 % (361561)CaDiCaL version: 2.1.3
% 0.22/0.32 % (361561)Termination reason: Refutation
% 0.22/0.32 % (361561)Time elapsed: 0.045 s
% 0.22/0.32 % (361561)Peak memory usage: 13 MB
% 0.22/0.32 % (361561)Instructions burned: 151 (million)
% 0.22/0.32 % (361554)Success in time 0.082 s
% 0.22/0.32 % Vampire exiting
%------------------------------------------------------------------------------