%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : AGT028^1 : TPTP v9.3.1. Released v5.2.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% Computer : n006.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8046.5625MB
% OS : Linux 6.8.0-71-generic
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Wed Sep 30 07:44:36 AM UTC 2026
% Result : Theorem 0.23s 0.43s
% Output : Refutation 0.23s
% Verified :
% SZS Type : Refutation
% Derivation depth : 27
% Number of leaves : 14
% Syntax : Number of formulae : 98 ( 55 unt; 0 typ; 4 def)
% Number of atoms : 480 ( 103 equ; 0 cnn)
% Maximal formula atoms : 7 ( 4 avg)
% Number of connectives : 695 ( 87 ~; 81 |; 0 &; 478 @)
% ( 3 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 7 ( 2 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of types : 3 ( 1 usr)
% Number of type conns : 113 ( 113 >; 0 *; 0 +; 0 <<)
% Number of symbols : 137 ( 133 usr; 12 con; 0-4 aty)
% ( 46 !!; 0 ??; 0 @@+; 0 @@-)
% Number of variables : 250 ( 0 sgn 48 !; 0 ?; 250 :)
% Comments :
%------------------------------------------------------------------------------
thf(type_def_5,type,
mu: $tType ).
thf(type_def_6,type,
sTfun: ( $tType * $tType ) > $tType ).
thf(func_def_0,type,
meq_ind: mu > mu > $i > $o ).
thf(func_def_1,type,
meq_prop: ( $i > $o ) > ( $i > $o ) > $i > $o ).
thf(func_def_3,type,
mnot: ( $i > $o ) > $i > $o ).
thf(func_def_4,type,
mor: ( $i > $o ) > ( $i > $o ) > $i > $o ).
thf(func_def_5,type,
mand: ( $i > $o ) > ( $i > $o ) > $i > $o ).
thf(func_def_6,type,
mimplies: ( $i > $o ) > ( $i > $o ) > $i > $o ).
thf(func_def_7,type,
mimplied: ( $i > $o ) > ( $i > $o ) > $i > $o ).
thf(func_def_8,type,
mequiv: ( $i > $o ) > ( $i > $o ) > $i > $o ).
thf(func_def_9,type,
mxor: ( $i > $o ) > ( $i > $o ) > $i > $o ).
thf(func_def_10,type,
mforall_ind: ( mu > $i > $o ) > $i > $o ).
thf(func_def_11,type,
mforall_prop: ( ( $i > $o ) > $i > $o ) > $i > $o ).
thf(func_def_12,type,
mexists_ind: ( mu > $i > $o ) > $i > $o ).
thf(func_def_13,type,
mexists_prop: ( ( $i > $o ) > $i > $o ) > $i > $o ).
thf(func_def_14,type,
mtrue: $i > $o ).
thf(func_def_15,type,
mfalse: $i > $o ).
thf(func_def_16,type,
mbox: ( $i > $i > $o ) > ( $i > $o ) > $i > $o ).
thf(func_def_17,type,
mdia: ( $i > $i > $o ) > ( $i > $o ) > $i > $o ).
thf(func_def_18,type,
mreflexive: ( $i > $i > $o ) > $o ).
thf(func_def_19,type,
msymmetric: ( $i > $i > $o ) > $o ).
thf(func_def_20,type,
mserial: ( $i > $i > $o ) > $o ).
thf(func_def_21,type,
mtransitive: ( $i > $i > $o ) > $o ).
thf(func_def_22,type,
meuclidean: ( $i > $i > $o ) > $o ).
thf(func_def_23,type,
mpartially_functional: ( $i > $i > $o ) > $o ).
thf(func_def_24,type,
mfunctional: ( $i > $i > $o ) > $o ).
thf(func_def_25,type,
mweakly_dense: ( $i > $i > $o ) > $o ).
thf(func_def_26,type,
mweakly_connected: ( $i > $i > $o ) > $o ).
thf(func_def_27,type,
mweakly_directed: ( $i > $i > $o ) > $o ).
thf(func_def_28,type,
mvalid: ( $i > $o ) > $o ).
thf(func_def_29,type,
minvalid: ( $i > $o ) > $o ).
thf(func_def_30,type,
msatisfiable: ( $i > $o ) > $o ).
thf(func_def_31,type,
mcountersatisfiable: ( $i > $o ) > $o ).
thf(func_def_32,type,
r1: $i > $i > $o ).
thf(func_def_33,type,
r2: $i > $i > $o ).
thf(func_def_34,type,
r3: $i > $i > $o ).
thf(func_def_35,type,
r4: $i > $i > $o ).
thf(func_def_36,type,
r5: $i > $i > $o ).
thf(func_def_37,type,
john: mu ).
thf(func_def_38,type,
tom: mu ).
thf(func_def_39,type,
peter: mu ).
thf(func_def_40,type,
mike: mu ).
thf(func_def_41,type,
good_in_maths: mu > $i > $o ).
thf(func_def_42,type,
maths_teacher: mu > $i > $o ).
thf(func_def_43,type,
mathematician: mu > $i > $o ).
thf(func_def_44,type,
maths_student: mu > $i > $o ).
thf(func_def_45,type,
good_in_physics: mu > $i > $o ).
thf(func_def_46,type,
physics_student: mu > $i > $o ).
thf(func_def_47,type,
db0:
!>[X0: $tType] : X0 ).
thf(func_def_48,type,
vLAM:
!>[X0: $tType,X1: $tType] : ( X1 > X0 > X1 ) ).
thf(func_def_51,type,
db2:
!>[X0: $tType] : X0 ).
thf(func_def_52,type,
db1:
!>[X0: $tType] : X0 ).
thf(func_def_53,type,
vEQ:
!>[X0: $tType] : ( X0 > X0 > $o ) ).
thf(func_def_54,type,
vPI:
!>[X0: $tType] : ( ( X0 > $o ) > $o ) ).
thf(func_def_55,type,
vIMP: $o > $o > $o ).
thf(func_def_56,type,
vAND: $o > $o > $o ).
thf(func_def_57,type,
db3:
!>[X0: $tType] : X0 ).
thf(func_def_58,type,
vSIGMA:
!>[X0: $tType] : ( ( X0 > $o ) > $o ) ).
thf(func_def_59,type,
vOR: $o > $o > $o ).
thf(func_def_60,type,
vNOT: $o > $o ).
thf(func_def_61,type,
db4:
!>[X0: $tType] : X0 ).
thf(func_def_62,type,
sF0: $o ).
thf(func_def_63,type,
sK1: $i > ( $i > $o ) > $i ).
thf(func_def_64,type,
sK2: $i > ( $i > $o ) > $i ).
thf(func_def_65,type,
sK3: $i > mu > $i ).
thf(func_def_66,type,
sK4: $i > ( $i > $o ) > $i ).
thf(func_def_67,type,
sK5: $i > ( $i > $o ) > $i ).
thf(func_def_68,type,
sK6: $i > ( $i > $o ) > $i ).
thf(func_def_69,type,
sK7: $i > ( $i > $o ) > $i ).
thf(func_def_70,type,
sK8: $i > ( $i > $o ) > $i ).
thf(func_def_71,type,
sK9: $i > ( $i > $o ) > $i ).
thf(func_def_72,type,
sK10: $i > mu > $i ).
thf(func_def_73,type,
sK11: $i > ( $i > $o ) > $i ).
thf(func_def_74,type,
sK12: $i > mu > $i ).
thf(func_def_75,type,
sK13: $i > ( $i > $o ) > $i ).
thf(func_def_76,type,
sK14: $i > ( $i > $o ) > $i ).
thf(func_def_77,type,
sK15: $i > ( $i > $o ) > $i ).
thf(func_def_78,type,
sK16: $i > ( $i > $o ) > $i ).
thf(func_def_79,type,
sK17: $i > ( $i > $o ) > $i ).
thf(func_def_80,type,
sK18: $i > ( $i > $o ) > $i ).
thf(func_def_81,type,
sK19: $i > mu > $i ).
thf(func_def_82,type,
sK20: $i > ( $i > $o ) > $i ).
thf(func_def_83,type,
sK21: $i > ( $i > $o ) > $i ).
thf(func_def_84,type,
sK22: $i > ( $i > $o ) > $i ).
thf(func_def_85,type,
sK23: $i > mu > $i ).
thf(func_def_86,type,
sK24: $i > ( $i > $o ) > $i ).
thf(func_def_87,type,
sK25: $i > ( $i > $o ) > $i ).
thf(func_def_88,type,
sK26: $i > ( $i > $o ) > $i ).
thf(func_def_89,type,
sK27: $i > ( $i > $o ) > $i ).
thf(func_def_90,type,
sK28: $i > ( $i > $o ) > $i ).
thf(func_def_91,type,
sK29: $i > mu > $i ).
thf(func_def_92,type,
sK30: $i > ( $i > $o ) > $i ).
thf(func_def_93,type,
sK31: $i > ( $i > $o ) > $i ).
thf(func_def_94,type,
sK32: $i > ( $i > $o ) > $i ).
thf(func_def_95,type,
sK33: $i > ( $i > $o ) > $i ).
thf(func_def_96,type,
sK34: $i > mu > $i ).
thf(func_def_97,type,
sK35: $i > mu > $i ).
thf(func_def_98,type,
sK36: $i > ( $i > $o ) > $i ).
thf(func_def_99,type,
sK37: $i > ( $i > $o ) > $i ).
thf(func_def_100,type,
sK38: $i > ( $i > $o ) > $i ).
thf(func_def_101,type,
sK39: $i > ( $i > $o ) > $i ).
thf(func_def_102,type,
sK40: $i > ( $i > $o ) > $i ).
thf(func_def_103,type,
sK41: $i > ( $i > $o ) > $i ).
thf(func_def_104,type,
sK42: $i > ( $i > $o ) > $i ).
thf(func_def_105,type,
sK43: $i > mu > $i ).
thf(func_def_106,type,
sK44: $i > ( $i > $o ) > $i ).
thf(func_def_107,type,
sK45: $i > ( $i > $o ) > $i ).
thf(func_def_109,type,
sK47: mu > $i ).
thf(func_def_110,type,
sK48: $i > mu ).
thf(func_def_111,type,
sK49: $i > ( $i > $o ) > $i ).
thf(func_def_112,type,
sK50: $i > ( $i > $o ) > $i ).
thf(func_def_113,type,
sK51: $i > ( $i > $o ) > $i ).
thf(func_def_114,type,
sK52: $i > ( $i > $o ) > $i ).
thf(func_def_115,type,
sK53: $i > ( $i > $o ) > $i ).
thf(func_def_116,type,
sK54: $i > mu > $i ).
thf(func_def_117,type,
sK55: $i > mu > $i ).
thf(func_def_118,type,
sK56: $i > ( $i > $o ) > $i ).
thf(func_def_119,type,
sK57: $i > mu > $i ).
thf(func_def_120,type,
sK58: $i > mu > $i ).
thf(func_def_121,type,
sK59: $i > ( $i > $o ) > $i ).
thf(func_def_122,type,
sK60: $i > ( $i > $o ) > $i ).
thf(func_def_123,type,
sK61: $i > ( $i > $o ) > $i ).
thf(func_def_124,type,
sK62: $i > mu > $i ).
thf(func_def_125,type,
sK63: $i > ( $i > $o ) > $i ).
thf(func_def_126,type,
sK64: $i > ( $i > $o ) > $i ).
thf(func_def_127,type,
sK65: $i > mu > $i ).
thf(func_def_128,type,
sK66: $i > ( $i > $o ) > $i ).
thf(func_def_129,type,
sK67: $i > ( $i > $o ) > $i ).
thf(func_def_130,type,
sK68: $i > mu > $i ).
thf(func_def_131,type,
sK69: $i > ( $i > $o ) > $i ).
thf(f3,axiom,
( mnot
= ( ^ [X0: $i > $o,X1: $i] :
~ ( X0 @ X1 ) ) ),
file('/export/starexec/sandbox2/benchmark/Axioms/LCL013^0.ax',mnot) ).
thf(f4,axiom,
( ( ^ [X0: $i > $o,X1: $i > $o,X2: $i] :
( ( X0 @ X2 )
| ( X1 @ X2 ) ) )
= mor ),
file('/export/starexec/sandbox2/benchmark/Axioms/LCL013^0.ax',mor) ).
thf(f6,axiom,
( mimplies
= ( ^ [X0: $i > $o,X1: $i > $o] : ( mor @ ( mnot @ X0 ) @ X1 ) ) ),
file('/export/starexec/sandbox2/benchmark/Axioms/LCL013^0.ax',mimplies) ).
thf(f10,axiom,
( ( ^ [X0: mu > $i > $o,X1: $i] :
! [X2: mu] : ( X0 @ X2 @ X1 ) )
= mforall_ind ),
file('/export/starexec/sandbox2/benchmark/Axioms/LCL013^0.ax',mforall_ind) ).
thf(f12,axiom,
( mexists_ind
= ( ^ [X0: mu > $i > $o] :
( mnot
@ ( mforall_ind
@ ^ [X1: mu] : ( mnot @ ( X0 @ X1 ) ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/Axioms/LCL013^0.ax',mexists_ind) ).
thf(f16,axiom,
( ( ^ [X0: $i > $i > $o,X1: $i > $o,X2: $i] :
! [X3: $i] :
( ~ ( X0 @ X2 @ X3 )
| ( X1 @ X3 ) ) )
= mbox ),
file('/export/starexec/sandbox2/benchmark/Axioms/LCL013^0.ax',mbox) ).
thf(f28,axiom,
( mvalid
= ( ^ [X0: $i > $o] :
! [X1: $i] : ( X0 @ X1 ) ) ),
file('/export/starexec/sandbox2/benchmark/Axioms/LCL013^0.ax',mvalid) ).
thf(f32,axiom,
( mvalid
@ ( mforall_ind
@ ^ [X0: mu] : ( mimplies @ ( maths_teacher @ X0 ) @ ( mbox @ r4 @ ( good_in_maths @ X0 ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_r1) ).
thf(f49,axiom,
mvalid @ ( maths_teacher @ john ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_a6) ).
thf(f98,conjecture,
( mvalid
@ ( mexists_ind
@ ^ [X0: mu] : ( mbox @ r4 @ ( good_in_maths @ X0 ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',conj) ).
thf(f99,negated_conjecture,
~ ( mvalid
@ ( mexists_ind
@ ^ [X0: mu] : ( mbox @ r4 @ ( good_in_maths @ X0 ) ) ) ),
inference(negated_conjecture,[status(cth)],[f98]) ).
thf(f129,plain,
( ( ^ [X0: mu > $i > $o,X1: $i] :
! [X2: mu] : ( X0 @ X2 @ X1 ) )
= mforall_ind ),
inference(rectify,[],[f10]) ).
thf(f130,plain,
( mforall_ind
= ( ^ [Y0: mu > $i > $o,Y1: $i] :
( !! @ mu
@ ^ [Y2: mu] : ( Y0 @ Y2 @ Y1 ) ) ) ),
inference(fool_elimination,[],[f129]) ).
thf(f155,plain,
( mvalid
= ( ^ [X0: $i > $o] :
! [X1: $i] : ( X0 @ X1 ) ) ),
inference(rectify,[],[f28]) ).
thf(f156,plain,
( mvalid
= ( ^ [Y0: $i > $o] :
( !! @ $i
@ ^ [Y1: $i] : ( Y0 @ Y1 ) ) ) ),
inference(fool_elimination,[],[f155]) ).
thf(f176,plain,
( ( ^ [X0: $i > $i > $o,X1: $i > $o,X2: $i] :
! [X3: $i] :
( ~ ( X0 @ X2 @ X3 )
| ( X1 @ X3 ) ) )
= mbox ),
inference(rectify,[],[f16]) ).
thf(f177,plain,
( mbox
= ( ^ [Y0: $i > $i > $o,Y1: $i > $o,Y2: $i] :
( !! @ $i
@ ^ [Y3: $i] :
( ( Y1 @ Y3 )
| ~ ( Y0 @ Y2 @ Y3 ) ) ) ) ),
inference(fool_elimination,[],[f176]) ).
thf(f193,plain,
mvalid @ ( maths_teacher @ john ),
inference(rectify,[],[f49]) ).
thf(f194,plain,
( ( mvalid @ ( maths_teacher @ john ) )
= $true ),
inference(fool_elimination,[],[f193]) ).
thf(f205,plain,
( ( ^ [X0: $i > $o,X1: $i > $o,X2: $i] :
( ( X0 @ X2 )
| ( X1 @ X2 ) ) )
= mor ),
inference(rectify,[],[f4]) ).
thf(f206,plain,
( mor
= ( ^ [Y0: $i > $o,Y1: $i > $o,Y2: $i] :
( ( Y1 @ Y2 )
| ( Y0 @ Y2 ) ) ) ),
inference(fool_elimination,[],[f205]) ).
thf(f211,plain,
( mimplies
= ( ^ [Y0: $i > $o,Y1: $i > $o] : ( mor @ ( mnot @ Y0 ) @ Y1 ) ) ),
inference(fool_elimination,[],[f6]) ).
thf(f212,plain,
~ ( mvalid
@ ( mexists_ind
@ ^ [X0: mu] : ( mbox @ r4 @ ( good_in_maths @ X0 ) ) ) ),
inference(rectify,[],[f99]) ).
thf(f213,plain,
( $true
!= ( mvalid
@ ( mexists_ind
@ ^ [Y0: mu] : ( mbox @ r4 @ ( good_in_maths @ Y0 ) ) ) ) ),
inference(fool_elimination,[],[f212]) ).
thf(f233,plain,
( mvalid
@ ( mforall_ind
@ ^ [X0: mu] : ( mimplies @ ( maths_teacher @ X0 ) @ ( mbox @ r4 @ ( good_in_maths @ X0 ) ) ) ) ),
inference(rectify,[],[f32]) ).
thf(f234,plain,
( $true
= ( mvalid
@ ( mforall_ind
@ ^ [Y0: mu] : ( mimplies @ ( maths_teacher @ Y0 ) @ ( mbox @ r4 @ ( good_in_maths @ Y0 ) ) ) ) ) ),
inference(fool_elimination,[],[f233]) ).
thf(f239,plain,
( mnot
= ( ^ [X0: $i > $o,X1: $i] :
~ ( X0 @ X1 ) ) ),
inference(rectify,[],[f3]) ).
thf(f240,plain,
( mnot
= ( ^ [Y0: $i > $o,Y1: $i] :
~ ( Y0 @ Y1 ) ) ),
inference(fool_elimination,[],[f239]) ).
thf(f255,plain,
( mexists_ind
= ( ^ [X0: mu > $i > $o] :
( mnot
@ ( mforall_ind
@ ^ [X1: mu] : ( mnot @ ( X0 @ X1 ) ) ) ) ) ),
inference(rectify,[],[f12]) ).
thf(f256,plain,
( mexists_ind
= ( ^ [Y0: mu > $i > $o] :
( mnot
@ ( mforall_ind
@ ^ [Y1: mu] : ( mnot @ ( Y0 @ Y1 ) ) ) ) ) ),
inference(fool_elimination,[],[f255]) ).
thf(f285,plain,
( $true
!= ( mvalid
@ ( mexists_ind
@ ^ [Y0: mu] : ( mbox @ r4 @ ( good_in_maths @ Y0 ) ) ) ) ),
inference(flattening,[],[f213]) ).
thf(f287,plain,
( mforall_ind
= ( ^ [Y0: mu > $i > $o,Y1: $i] :
( !! @ mu
@ ^ [Y2: mu] : ( Y0 @ Y2 @ Y1 ) ) ) ),
inference(cnf_transformation,[],[f130]) ).
thf(f292,plain,
( mvalid
= ( ^ [Y0: $i > $o] :
( !! @ $i
@ ^ [Y1: $i] : ( Y0 @ Y1 ) ) ) ),
inference(cnf_transformation,[],[f156]) ).
thf(f296,plain,
( mimplies
= ( ^ [Y0: $i > $o,Y1: $i > $o] : ( mor @ ( mnot @ Y0 ) @ Y1 ) ) ),
inference(cnf_transformation,[],[f211]) ).
thf(f302,plain,
( mnot
= ( ^ [Y0: $i > $o,Y1: $i] :
~ ( Y0 @ Y1 ) ) ),
inference(cnf_transformation,[],[f240]) ).
thf(f313,plain,
( $true
!= ( mvalid
@ ( mexists_ind
@ ^ [Y0: mu] : ( mbox @ r4 @ ( good_in_maths @ Y0 ) ) ) ) ),
inference(cnf_transformation,[],[f285]) ).
thf(f339,plain,
( mexists_ind
= ( ^ [Y0: mu > $i > $o] :
( mnot
@ ( mforall_ind
@ ^ [Y1: mu] : ( mnot @ ( Y0 @ Y1 ) ) ) ) ) ),
inference(cnf_transformation,[],[f256]) ).
thf(f351,plain,
( $true
= ( mvalid
@ ( mforall_ind
@ ^ [Y0: mu] : ( mimplies @ ( maths_teacher @ Y0 ) @ ( mbox @ r4 @ ( good_in_maths @ Y0 ) ) ) ) ) ),
inference(cnf_transformation,[],[f234]) ).
thf(f358,plain,
( ( mvalid @ ( maths_teacher @ john ) )
= $true ),
inference(cnf_transformation,[],[f194]) ).
thf(f368,plain,
( mbox
= ( ^ [Y0: $i > $i > $o,Y1: $i > $o,Y2: $i] :
( !! @ $i
@ ^ [Y3: $i] :
( ( Y1 @ Y3 )
| ~ ( Y0 @ Y2 @ Y3 ) ) ) ) ),
inference(cnf_transformation,[],[f177]) ).
thf(f375,plain,
( mor
= ( ^ [Y0: $i > $o,Y1: $i > $o,Y2: $i] :
( ( Y1 @ Y2 )
| ( Y0 @ Y2 ) ) ) ),
inference(cnf_transformation,[],[f206]) ).
thf(f387,plain,
( mimplies
= ( ^ [Y0: $i > $o,Y1: $i > $o] :
( ^ [Y2: $i > $o,Y3: $i > $o,Y4: $i] :
( ( Y3 @ Y4 )
| ( Y2 @ Y4 ) )
@ ( ^ [Y2: $i > $o,Y3: $i] :
~ ( Y2 @ Y3 )
@ Y0 )
@ Y1 ) ) ),
inference(definition_unfolding,[],[f296,f375,f302]) ).
thf(f391,plain,
( mexists_ind
= ( ^ [Y0: mu > $i > $o] :
( ^ [Y1: $i > $o,Y2: $i] :
~ ( Y1 @ Y2 )
@ ( ^ [Y1: mu > $i > $o,Y2: $i] :
( !! @ mu
@ ^ [Y3: mu] : ( Y1 @ Y3 @ Y2 ) )
@ ^ [Y1: mu] :
( ^ [Y2: $i > $o,Y3: $i] :
~ ( Y2 @ Y3 )
@ ( Y0 @ Y1 ) ) ) ) ) ),
inference(definition_unfolding,[],[f339,f302,f287,f302]) ).
thf(f412,plain,
( $true
!= ( ^ [Y0: $i > $o] :
( !! @ $i
@ ^ [Y1: $i] : ( Y0 @ Y1 ) )
@ ( ^ [Y0: mu > $i > $o] :
( ^ [Y1: $i > $o,Y2: $i] :
~ ( Y1 @ Y2 )
@ ( ^ [Y1: mu > $i > $o,Y2: $i] :
( !! @ mu
@ ^ [Y3: mu] : ( Y1 @ Y3 @ Y2 ) )
@ ^ [Y1: mu] :
( ^ [Y2: $i > $o,Y3: $i] :
~ ( Y2 @ Y3 )
@ ( Y0 @ Y1 ) ) ) )
@ ^ [Y0: mu] :
( ^ [Y1: $i > $i > $o,Y2: $i > $o,Y3: $i] :
( !! @ $i
@ ^ [Y4: $i] :
( ( Y2 @ Y4 )
| ~ ( Y1 @ Y3 @ Y4 ) ) )
@ r4
@ ( good_in_maths @ Y0 ) ) ) ) ),
inference(definition_unfolding,[],[f313,f292,f391,f368]) ).
thf(f437,plain,
( $true
= ( ^ [Y0: $i > $o] :
( !! @ $i
@ ^ [Y1: $i] : ( Y0 @ Y1 ) )
@ ( ^ [Y0: mu > $i > $o,Y1: $i] :
( !! @ mu
@ ^ [Y2: mu] : ( Y0 @ Y2 @ Y1 ) )
@ ^ [Y0: mu] :
( ^ [Y1: $i > $o,Y2: $i > $o] :
( ^ [Y3: $i > $o,Y4: $i > $o,Y5: $i] :
( ( Y4 @ Y5 )
| ( Y3 @ Y5 ) )
@ ( ^ [Y3: $i > $o,Y4: $i] :
~ ( Y3 @ Y4 )
@ Y1 )
@ Y2 )
@ ( maths_teacher @ Y0 )
@ ( ^ [Y1: $i > $i > $o,Y2: $i > $o,Y3: $i] :
( !! @ $i
@ ^ [Y4: $i] :
( ( Y2 @ Y4 )
| ~ ( Y1 @ Y3 @ Y4 ) ) )
@ r4
@ ( good_in_maths @ Y0 ) ) ) ) ) ),
inference(definition_unfolding,[],[f351,f292,f287,f387,f368]) ).
thf(f444,plain,
( $true
= ( ^ [Y0: $i > $o] :
( !! @ $i
@ ^ [Y1: $i] : ( Y0 @ Y1 ) )
@ ( maths_teacher @ john ) ) ),
inference(definition_unfolding,[],[f358,f292]) ).
thf(f462,definition,
( sF0
= ( ^ [Y0: $i > $o] :
( !! @ $i
@ ^ [Y1: $i] : ( Y0 @ Y1 ) )
@ ( ^ [Y0: mu > $i > $o] :
( ^ [Y1: $i > $o,Y2: $i] :
~ ( Y1 @ Y2 )
@ ( ^ [Y1: mu > $i > $o,Y2: $i] :
( !! @ mu
@ ^ [Y3: mu] : ( Y1 @ Y3 @ Y2 ) )
@ ^ [Y1: mu] :
( ^ [Y2: $i > $o,Y3: $i] :
~ ( Y2 @ Y3 )
@ ( Y0 @ Y1 ) ) ) )
@ ^ [Y0: mu] :
( ^ [Y1: $i > $i > $o,Y2: $i > $o,Y3: $i] :
( !! @ $i
@ ^ [Y4: $i] :
( ( Y2 @ Y4 )
| ~ ( Y1 @ Y3 @ Y4 ) ) )
@ r4
@ ( good_in_maths @ Y0 ) ) ) ) ),
introduced(definition,[new_symbols(definition,[sF0])],[function_definition]) ).
thf(f463,plain,
( ( ^ [Y0: $i > $o] :
( !! @ $i
@ ^ [Y1: $i] : ( Y0 @ Y1 ) )
@ ( ^ [Y0: mu > $i > $o] :
( ^ [Y1: $i > $o,Y2: $i] :
~ ( Y1 @ Y2 )
@ ( ^ [Y1: mu > $i > $o,Y2: $i] :
( !! @ mu
@ ^ [Y3: mu] : ( Y1 @ Y3 @ Y2 ) )
@ ^ [Y1: mu] :
( ^ [Y2: $i > $o,Y3: $i] :
~ ( Y2 @ Y3 )
@ ( Y0 @ Y1 ) ) ) )
@ ^ [Y0: mu] :
( ^ [Y1: $i > $i > $o,Y2: $i > $o,Y3: $i] :
( !! @ $i
@ ^ [Y4: $i] :
( ( Y2 @ Y4 )
| ~ ( Y1 @ Y3 @ Y4 ) ) )
@ r4
@ ( good_in_maths @ Y0 ) ) ) )
= sF0 ),
inference(reorient_equations,[],[f462]) ).
thf(f464,plain,
$true != sF0,
inference(definition_folding,[],[f412,f463]) ).
thf(f1342,plain,
( ( $true = sF0 )
| ( $false
= ( ^ [Y0: $i > $o] :
( !! @ $i
@ ^ [Y1: $i] : ( Y0 @ Y1 ) )
@ ( ^ [Y0: mu > $i > $o] :
( ^ [Y1: $i > $o,Y2: $i] :
~ ( Y1 @ Y2 )
@ ( ^ [Y1: mu > $i > $o,Y2: $i] :
( !! @ mu
@ ^ [Y3: mu] : ( Y1 @ Y3 @ Y2 ) )
@ ^ [Y1: mu] :
( ^ [Y2: $i > $o,Y3: $i] :
~ ( Y2 @ Y3 )
@ ( Y0 @ Y1 ) ) ) )
@ ^ [Y0: mu] :
( ^ [Y1: $i > $i > $o,Y2: $i > $o,Y3: $i] :
( !! @ $i
@ ^ [Y4: $i] :
( ( Y2 @ Y4 )
| ~ ( Y1 @ Y3 @ Y4 ) ) )
@ r4
@ ( good_in_maths @ Y0 ) ) ) ) ) ),
inference(iff_proxy_clausification,[],[f463]) ).
thf(f1343,plain,
( ( $true = sF0 )
| ( $false
= ( !! @ $i
@ ^ [Y0: $i] :
~ ( !! @ mu
@ ^ [Y1: mu] :
~ ( !! @ $i
@ ^ [Y2: $i] :
( ( good_in_maths @ Y1 @ Y2 )
| ~ ( r4 @ Y0 @ Y2 ) ) ) ) ) ) ),
inference(beta-eta_normalization,[],[f1342]) ).
thf(f1344,plain,
( ( $true = sF0 )
| ( $false
= ( ^ [Y0: $i] :
~ ( !! @ mu
@ ^ [Y1: mu] :
~ ( !! @ $i
@ ^ [Y2: $i] :
( ( good_in_maths @ Y1 @ Y2 )
| ~ ( r4 @ Y0 @ Y2 ) ) ) )
@ sK46 ) ) ),
inference(sigma_proxy_clausification,[],[f1343]) ).
thf(f1345,plain,
( ( $false
= ( ~ ( !! @ mu
@ ^ [Y0: mu] :
~ ( !! @ $i
@ ^ [Y1: $i] :
( ( good_in_maths @ Y0 @ Y1 )
| ~ ( r4 @ sK46 @ Y1 ) ) ) ) ) )
| ( $true = sF0 ) ),
inference(beta-eta_normalization,[],[f1344]) ).
thf(f1346,plain,
( ( $true
= ( !! @ mu
@ ^ [Y0: mu] :
~ ( !! @ $i
@ ^ [Y1: $i] :
( ( good_in_maths @ Y0 @ Y1 )
| ~ ( r4 @ sK46 @ Y1 ) ) ) ) )
| ( $true = sF0 ) ),
inference(not_proxy_clausification,[],[f1345]) ).
thf(f1347,plain,
! [X1: mu] :
( ( $true
= ( ^ [Y0: mu] :
~ ( !! @ $i
@ ^ [Y1: $i] :
( ( good_in_maths @ Y0 @ Y1 )
| ~ ( r4 @ sK46 @ Y1 ) ) )
@ X1 ) )
| ( $true = sF0 ) ),
inference(pi_proxy_clausification,[],[f1346]) ).
thf(f1348,plain,
! [X1: mu] :
( ( $true
= ( ~ ( !! @ $i
@ ^ [Y0: $i] :
( ( good_in_maths @ X1 @ Y0 )
| ~ ( r4 @ sK46 @ Y0 ) ) ) ) )
| ( $true = sF0 ) ),
inference(beta-eta_normalization,[],[f1347]) ).
thf(f1349,plain,
! [X1: mu] :
( ( $true = sF0 )
| ( $false
= ( !! @ $i
@ ^ [Y0: $i] :
( ( good_in_maths @ X1 @ Y0 )
| ~ ( r4 @ sK46 @ Y0 ) ) ) ) ),
inference(not_proxy_clausification,[],[f1348]) ).
thf(f1350,plain,
! [X1: mu] :
( ( $false
= ( ^ [Y0: $i] :
( ( good_in_maths @ X1 @ Y0 )
| ~ ( r4 @ sK46 @ Y0 ) )
@ ( sK47 @ X1 ) ) )
| ( $true = sF0 ) ),
inference(sigma_proxy_clausification,[],[f1349]) ).
thf(f1351,plain,
! [X1: mu] :
( ( $true = sF0 )
| ( $false
= ( ( good_in_maths @ X1 @ ( sK47 @ X1 ) )
| ~ ( r4 @ sK46 @ ( sK47 @ X1 ) ) ) ) ),
inference(beta-eta_normalization,[],[f1350]) ).
thf(f1352,plain,
! [X1: mu] :
( ( $true = sF0 )
| ( $false
= ( ~ ( r4 @ sK46 @ ( sK47 @ X1 ) ) ) ) ),
inference(or_proxy_clausification,[],[f1351]) ).
thf(f1353,plain,
! [X1: mu] :
( ( $true = sF0 )
| ( $false
= ( good_in_maths @ X1 @ ( sK47 @ X1 ) ) ) ),
inference(or_proxy_clausification,[],[f1351]) ).
thf(f1354,plain,
! [X1: mu] :
( ( $true = sF0 )
| ( $true
= ( r4 @ sK46 @ ( sK47 @ X1 ) ) ) ),
inference(not_proxy_clausification,[],[f1352]) ).
thf(f1694,plain,
( $true
= ( !! @ $i
@ ^ [Y0: $i] :
( !! @ mu
@ ^ [Y1: mu] :
( ( !! @ $i
@ ^ [Y2: $i] :
( ( good_in_maths @ Y1 @ Y2 )
| ~ ( r4 @ Y0 @ Y2 ) ) )
| ~ ( maths_teacher @ Y1 @ Y0 ) ) ) ) ),
inference(beta-eta_normalization,[],[f437]) ).
thf(f1695,plain,
! [X1: $i] :
( ( ^ [Y0: $i] :
( !! @ mu
@ ^ [Y1: mu] :
( ( !! @ $i
@ ^ [Y2: $i] :
( ( good_in_maths @ Y1 @ Y2 )
| ~ ( r4 @ Y0 @ Y2 ) ) )
| ~ ( maths_teacher @ Y1 @ Y0 ) ) )
@ X1 )
= $true ),
inference(pi_proxy_clausification,[],[f1694]) ).
thf(f1696,plain,
! [X1: $i] :
( $true
= ( !! @ mu
@ ^ [Y0: mu] :
( ( !! @ $i
@ ^ [Y1: $i] :
( ( good_in_maths @ Y0 @ Y1 )
| ~ ( r4 @ X1 @ Y1 ) ) )
| ~ ( maths_teacher @ Y0 @ X1 ) ) ) ),
inference(beta-eta_normalization,[],[f1695]) ).
thf(f1697,plain,
! [X2: mu,X1: $i] :
( $true
= ( ^ [Y0: mu] :
( ( !! @ $i
@ ^ [Y1: $i] :
( ( good_in_maths @ Y0 @ Y1 )
| ~ ( r4 @ X1 @ Y1 ) ) )
| ~ ( maths_teacher @ Y0 @ X1 ) )
@ X2 ) ),
inference(pi_proxy_clausification,[],[f1696]) ).
thf(f1698,plain,
! [X2: mu,X1: $i] :
( $true
= ( ( !! @ $i
@ ^ [Y0: $i] :
( ( good_in_maths @ X2 @ Y0 )
| ~ ( r4 @ X1 @ Y0 ) ) )
| ~ ( maths_teacher @ X2 @ X1 ) ) ),
inference(beta-eta_normalization,[],[f1697]) ).
thf(f1699,plain,
! [X2: mu,X1: $i] :
( ( $true
= ( !! @ $i
@ ^ [Y0: $i] :
( ( good_in_maths @ X2 @ Y0 )
| ~ ( r4 @ X1 @ Y0 ) ) ) )
| ( $true
= ( ~ ( maths_teacher @ X2 @ X1 ) ) ) ),
inference(or_proxy_clausification,[],[f1698]) ).
thf(f1700,plain,
! [X2: mu,X3: $i,X1: $i] :
( ( $true
= ( ~ ( maths_teacher @ X2 @ X1 ) ) )
| ( $true
= ( ^ [Y0: $i] :
( ( good_in_maths @ X2 @ Y0 )
| ~ ( r4 @ X1 @ Y0 ) )
@ X3 ) ) ),
inference(pi_proxy_clausification,[],[f1699]) ).
thf(f1701,plain,
! [X2: mu,X3: $i,X1: $i] :
( ( $true
= ( ^ [Y0: $i] :
( ( good_in_maths @ X2 @ Y0 )
| ~ ( r4 @ X1 @ Y0 ) )
@ X3 ) )
| ( $false
= ( maths_teacher @ X2 @ X1 ) ) ),
inference(not_proxy_clausification,[],[f1700]) ).
thf(f1702,plain,
! [X2: mu,X3: $i,X1: $i] :
( ( $false
= ( maths_teacher @ X2 @ X1 ) )
| ( ( ( good_in_maths @ X2 @ X3 )
| ~ ( r4 @ X1 @ X3 ) )
= $true ) ),
inference(beta-eta_normalization,[],[f1701]) ).
thf(f1703,plain,
! [X2: mu,X3: $i,X1: $i] :
( ( $false
= ( maths_teacher @ X2 @ X1 ) )
| ( $true
= ( good_in_maths @ X2 @ X3 ) )
| ( $true
= ( ~ ( r4 @ X1 @ X3 ) ) ) ),
inference(or_proxy_clausification,[],[f1702]) ).
thf(f1704,plain,
! [X2: mu,X3: $i,X1: $i] :
( ( $true
= ( good_in_maths @ X2 @ X3 ) )
| ( $false
= ( r4 @ X1 @ X3 ) )
| ( $false
= ( maths_teacher @ X2 @ X1 ) ) ),
inference(not_proxy_clausification,[],[f1703]) ).
thf(f1782,plain,
( $true
= ( !! @ $i @ ( maths_teacher @ john ) ) ),
inference(beta-eta_normalization,[],[f444]) ).
thf(f1783,plain,
! [X1: $i] :
( ( maths_teacher @ john @ X1 )
= $true ),
inference(pi_proxy_clausification,[],[f1782]) ).
thf(f1806,definition,
( spl70_1
<=> ! [X1: mu] :
( $false
= ( good_in_maths @ X1 @ ( sK47 @ X1 ) ) ) ),
introduced(definition,[new_symbols(definition,[spl70_1])],[avatar_definition]) ).
thf(f1807,plain,
( ! [X1: mu] :
( $false
= ( good_in_maths @ X1 @ ( sK47 @ X1 ) ) )
| ~ spl70_1 ),
inference(avatar_component_clause,[],[f1806]) ).
thf(f1809,definition,
( spl70_2
<=> ( $true = sF0 ) ),
introduced(definition,[new_symbols(definition,[spl70_2])],[avatar_definition]) ).
thf(f1812,plain,
( spl70_1
| spl70_2 ),
inference(avatar_split_clause,[],[f1353,f1809,f1806]) ).
thf(f1814,definition,
( spl70_3
<=> ! [X1: mu] :
( $true
= ( r4 @ sK46 @ ( sK47 @ X1 ) ) ) ),
introduced(definition,[new_symbols(definition,[spl70_3])],[avatar_definition]) ).
thf(f1815,plain,
( ! [X1: mu] :
( $true
= ( r4 @ sK46 @ ( sK47 @ X1 ) ) )
| ~ spl70_3 ),
inference(avatar_component_clause,[],[f1814]) ).
thf(f1816,plain,
( spl70_2
| spl70_3 ),
inference(avatar_split_clause,[],[f1354,f1814,f1809]) ).
thf(f1825,plain,
~ spl70_2,
inference(avatar_split_clause,[],[f464,f1809]) ).
thf(f1841,plain,
( ! [X0: mu,X1: $i] :
( ( $false
= ( maths_teacher @ X0 @ X1 ) )
| ( $false
= ( r4 @ X1 @ ( sK47 @ X0 ) ) )
| ( $false = $true ) )
| ~ spl70_1 ),
inference(constrained_superposition,[],[f1704,f1807]) ).
thf(f1843,plain,
( ! [X0: mu,X1: $i] :
( ( $false
= ( r4 @ X1 @ ( sK47 @ X0 ) ) )
| ( $false
= ( maths_teacher @ X0 @ X1 ) ) )
| ~ spl70_1 ),
inference(trivial_inequality_removal,[],[f1841]) ).
thf(f1859,plain,
( ! [X0: mu] :
( ( $false
= ( maths_teacher @ X0 @ sK46 ) )
| ( $false = $true ) )
| ~ spl70_1
| ~ spl70_3 ),
inference(constrained_superposition,[],[f1815,f1843]) ).
thf(f1860,plain,
( ! [X0: mu] :
( $false
= ( maths_teacher @ X0 @ sK46 ) )
| ~ spl70_1
| ~ spl70_3 ),
inference(trivial_inequality_removal,[],[f1859]) ).
thf(f1865,plain,
( ( $false = $true )
| ~ spl70_1
| ~ spl70_3 ),
inference(constrained_superposition,[],[f1783,f1860]) ).
thf(f1869,plain,
( $false
| ~ spl70_1
| ~ spl70_3 ),
inference(trivial_inequality_removal,[],[f1865]) ).
thf(f1870,plain,
( ~ spl70_1
| ~ spl70_3 ),
inference(avatar_contradiction_clause,[],[f1869]) ).
cnf(s1,plain,
( spl70_1
| spl70_2 ),
inference(sat_conversion,[],[f1812]) ).
cnf(s2,plain,
( spl70_2
| spl70_3 ),
inference(sat_conversion,[],[f1816]) ).
cnf(s4,plain,
~ spl70_2,
inference(sat_conversion,[],[f1825]) ).
cnf(s9,plain,
( ~ spl70_1
| ~ spl70_3 ),
inference(sat_conversion,[],[f1870]) ).
cnf(s11,plain,
spl70_3,
inference(rat,[],[s2,s4]) ).
cnf(s12,plain,
~ spl70_1,
inference(rat,[],[s9,s11]) ).
cnf(s13,plain,
$false,
inference(rat,[],[s1,s4,s12]) ).
thf(f1871,plain,
$false,
inference(avatar_sat_refutation,[],[s13]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : AGT028^1 : TPTP v9.3.1. Released v5.2.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.09/0.26 % Computer : n006.cluster.edu
% 0.09/0.26 % Model : x86_64 x86_64
% 0.09/0.26 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.26 % Memory : 8046.5625MB
% 0.09/0.26 % OS : Linux 6.8.0-71-generic
% 0.09/0.26 % CPULimit : 300
% 0.09/0.26 % WCLimit : 300
% 0.09/0.26 % DateTime : Tue Sep 29 17:29:18 UTC 2026
% 0.18/0.26 % CPUTime :
% 0.18/0.26 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.18/0.29 Running higher-order theorem proving
% 0.18/0.31 Running: /export/starexec/sandbox2/solver/bin/vampire-ho --input_syntax tptp --output_axiom_names on --mode casc -m 16384 --cores 7 -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.23/0.43 % (1055046)Detected a higher-order problem, will run a greedy HOL sequence.
% 0.23/0.43 % (1055051)lrs+10_40_drc=off:e2e=on:si=on:uwa=one_side_interpreted:random_seed=2127845659:s2a=on:i=87:rtra=on:ntd=on_2999 on theBenchmark for (2999ds/87Mi)
% 0.23/0.43 % (1055052)lrs+10_16_si=on:nwc=1.5:random_seed=3449592184:i=18:kws=arity_squared:rtra=on:fe=abstraction:ntd=on_2999 on theBenchmark for (2999ds/18Mi)
% 0.23/0.43 % (1055053)lrs+10_1_cnfonf=off:si=on:uwa=one_side_interpreted:random_seed=1311046229:i=3:rtra=on:inj=on:ntd=on_2999 on theBenchmark for (2999ds/3Mi)
% 0.23/0.43 % (1055054)dis+1002_4:1_sfv=off:to=lpo:plsq=on:fde=none:e2e=on:si=on:spb=non_intro:acc=on:uwa=off:fd=preordered:foolp=on:s2agt=32:slsqc=1:slsq=on:random_seed=3419537803:hsq=on:hsqr=16,1:s2a=on:i=634:add=on:nm=16:nicw=on:rtra=on:gtg=position:ss=included:ixr=off:c=on:inj=on:ntd=on:rawr=on_2999 on theBenchmark for (2999ds/634Mi)
% 0.23/0.43 % (1055055)dis+21_4_fde=none:e2e=on:si=on:uwa=off:foolp=on:random_seed=362630438:i=24:av=off:rtra=on_2999 on theBenchmark for (2999ds/24Mi)
% 0.23/0.43 % (1055053)Instruction limit reached!
% 0.23/0.43 % (1055053)------------------------------
% 0.23/0.43 % (1055053)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.23/0.43 % (1055053)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.23/0.43 % (1055053)CaDiCaL version: 2.1.3
% 0.23/0.43 % (1055053)Termination reason: Instruction limit
% 0.23/0.43 % (1055053)Termination phase: shuffling
% 0.23/0.43 % (1055053)Time elapsed: 0.002 s
% 0.23/0.43 % (1055053)Peak memory usage: 10 MB
% 0.23/0.43 % (1055053)Instructions burned: 5 (million)
% 0.23/0.43 % (1055057)WARNING Broken Constraint: if ho_split_queue_ratios(1,8) has been set then ho_split_queue(off) is equal to on
% 0.23/0.43 % (1055057)WARNING Broken Constraint: if sine_to_age_tolerance(5) has been set then sine_to_age(off) is equal to on or sine_to_pred_levels(off) is not equal to off or sine_level_split_queue(off) is equal to on
% 0.23/0.43 % (1055057)dis+1002_8_to=kbo:sil=128000:tgt=full:drc=off:si=on:sp=const_max:lma=off:spb=non_intro:cbe=off:uwa=interpreted_only:random_seed=1299098641:hsqr=1,8:i=157:s2at=5:add=on:nm=2:rtra=on_2999 on theBenchmark for (2999ds/157Mi)
% 0.23/0.43 % (1055052)Instruction limit reached!
% 0.23/0.43 % (1055052)------------------------------
% 0.23/0.43 % (1055052)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.23/0.43 % (1055052)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.23/0.43 % (1055052)CaDiCaL version: 2.1.3
% 0.23/0.43 % (1055052)Termination reason: Instruction limit
% 0.23/0.43 % (1055052)Termination phase: Property scanning
% 0.23/0.43 % (1055052)Time elapsed: 0.008 s
% 0.23/0.43 % (1055052)Peak memory usage: 10 MB
% 0.23/0.43 % (1055052)Instructions burned: 18 (million)
% 0.23/0.43 % (1055055)Instruction limit reached!
% 0.23/0.43 % (1055055)------------------------------
% 0.23/0.43 % (1055055)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.23/0.43 % (1055055)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.23/0.43 % (1055055)CaDiCaL version: 2.1.3
% 0.23/0.43 % (1055055)Termination reason: Instruction limit
% 0.23/0.43 % (1055055)Termination phase: Saturation
% 0.23/0.43 % (1055055)Time elapsed: 0.011 s
% 0.23/0.43 % (1055055)Peak memory usage: 12 MB
% 0.23/0.43 % (1055055)Instructions burned: 24 (million)
% 0.23/0.43 % (1055051)Instruction limit reached!
% 0.23/0.43 % (1055051)------------------------------
% 0.23/0.43 % (1055051)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.23/0.43 % (1055051)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.23/0.43 % (1055051)CaDiCaL version: 2.1.3
% 0.23/0.43 % (1055051)Termination reason: Instruction limit
% 0.23/0.43 % (1055051)Termination phase: Saturation
% 0.23/0.43 % (1055051)Time elapsed: 0.020 s
% 0.23/0.43 % (1055051)Peak memory usage: 12 MB
% 0.23/0.43 % (1055051)Instructions burned: 88 (million)
% 0.23/0.43 % (1055056)lrs+10_1_to=lpo:sil=128000:e2e=on:si=on:random_seed=3648859647:s2a=on:i=75:s2at=3:aac=none:bd=preordered:rtra=on:fe=abstraction_2999 on theBenchmark for (2999ds/75Mi)
% 0.23/0.43 % (1055063)dis+10_1024_sil=128000:si=on:sp=unary_first:urr=on:uwa=all:fd=off:random_seed=288912558:i=2:hud=10:rtra=on_2999 on theBenchmark for (2999ds/2Mi)
% 0.23/0.43 % (1055067)lrs+10_1_sil=128000:si=on:urr=on:slsqc=1:slsq=on:random_seed=3268569864:i=12:s2at=2:kws=inv_frequency:bd=all:rtra=on_2999 on theBenchmark for (2999ds/12Mi)
% 0.23/0.43 % (1055063)Instruction limit reached!
% 0.23/0.43 % (1055063)------------------------------
% 0.23/0.43 % (1055063)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.23/0.43 % (1055063)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.23/0.43 % (1055063)CaDiCaL version: 2.1.3
% 0.23/0.43 % (1055063)Termination reason: Instruction limit
% 0.23/0.43 % (1055063)Termination phase: shuffling
% 0.23/0.43 % (1055063)Time elapsed: 0.002 s
% 0.23/0.43 % (1055063)Peak memory usage: 10 MB
% 0.23/0.43 % (1055063)Instructions burned: 4 (million)
% 0.23/0.43 % (1055067)Instruction limit reached!
% 0.23/0.43 % (1055067)------------------------------
% 0.23/0.43 % (1055067)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.23/0.43 % (1055067)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.23/0.43 % (1055067)CaDiCaL version: 2.1.3
% 0.23/0.43 % (1055067)Termination reason: Instruction limit
% 0.23/0.43 % (1055067)Termination phase: Property scanning
% 0.23/0.43 % (1055067)Time elapsed: 0.003 s
% 0.23/0.43 % (1055067)Peak memory usage: 10 MB
% 0.23/0.43 % (1055067)Instructions burned: 14 (million)
% 0.23/0.43 % (1055065)lrs+1010_2:3_cha=on:si=on:uwa=off:nwc=1:random_seed=4176464912:i=5:fgj=on:av=off:rtra=on:fe=axiom:ntd=on_2999 on theBenchmark for (2999ds/5Mi)
% 0.23/0.43 % (1055066)WARNING Broken Constraint: if forward_subsumption_demodulation_max_matches(5) has been set then forward_subsumption_demodulation(off) is equal to on
% 0.23/0.43 % (1055065)Instruction limit reached!
% 0.23/0.43 % (1055065)------------------------------
% 0.23/0.43 % (1055065)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.23/0.43 % (1055065)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.23/0.43 % (1055065)CaDiCaL version: 2.1.3
% 0.23/0.43 % (1055065)Termination reason: Instruction limit
% 0.23/0.43 % (1055065)Termination phase: shuffling
% 0.23/0.43 % (1055065)Time elapsed: 0.003 s
% 0.23/0.43 % (1055065)Peak memory usage: 10 MB
% 0.23/0.43 % (1055065)Instructions burned: 7 (million)
% 0.23/0.43 % (1055066)dis+21_1_to=kbo:sil=128000:plsq=on:plsqc=1:cnfonf=lazy_gen:si=on:plsqr=64,1:uwa=hol:random_seed=1403476042:uwa_fpi=on:i=7:fgj=on:hud=10:fsr=off:rtra=on:rawr=on:fsdmm=5_2999 on theBenchmark for (2999ds/7Mi)
% 0.23/0.43 % (1055066)Instruction limit reached!
% 0.23/0.43 % (1055066)------------------------------
% 0.23/0.43 % (1055066)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.23/0.43 % (1055066)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.23/0.43 % (1055066)CaDiCaL version: 2.1.3
% 0.23/0.43 % (1055066)Termination reason: Instruction limit
% 0.23/0.43 % (1055066)Termination phase: Property scanning
% 0.23/0.43 % (1055066)Time elapsed: 0.003 s
% 0.23/0.43 % (1055066)Peak memory usage: 10 MB
% 0.23/0.43 % (1055066)Instructions burned: 7 (million)
% 0.23/0.43 % (1055073)lrs+1002_64_sil=128000:plsq=on:plsqc=1:cnfonf=lazy_gen:si=on:sp=occurrence:lma=off:plsqr=32,1:uwa=interpreted_only:random_seed=1569236989:i=86:piset=equals:rtra=on:ntd=on_2999 on theBenchmark for (2999ds/86Mi)
% 0.23/0.43 % (1055071)WARNING Broken Constraint: if sine_to_age_tolerance(5) has been set then sine_to_age(off) is equal to on or sine_to_pred_levels(off) is not equal to off or sine_level_split_queue(off) is equal to on
% 0.23/0.43 % (1055071)WARNING Broken Constraint: if forward_subsumption_demodulation_max_matches(1) has been set then forward_subsumption_demodulation(off) is equal to on
% 0.23/0.43 % (1055071)ott+1010_64_tgt=ground:cnfonf=lazy_simp:si=on:lma=off:spb=goal:lcm=predicate:random_seed=483984275:i=28:s2at=5:piset=not:hud=10:bd=all:av=off:rtra=on:ixr=off:fsdmm=1_2999 on theBenchmark for (2999ds/28Mi)
% 0.23/0.43 % (1055076)WARNING Broken Constraint: if positive_literal_split_queue_ratios(1,32) has been set then positive_literal_split_queue(off) is equal to on
% 0.23/0.43 % (1055075)lrs+10_1_si=on:cs=on:random_seed=2995054507:i=8:rtra=on:ntd=on_2999 on theBenchmark for (2999ds/8Mi)
% 0.23/0.43 % (1055076)ott+1002_20_sil=128000:cnfonf=lazy_not_gen_be_off:si=on:sp=unary_frequency:plsqr=1,32:bce=on:uwa=interpreted_only:foolp=on:random_seed=3752223852:i=2:add=on:rtra=on_2999 on theBenchmark for (2999ds/2Mi)
% 0.23/0.43 % (1055075)Instruction limit reached!
% 0.23/0.43 % (1055075)------------------------------
% 0.23/0.43 % (1055075)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.23/0.43 % (1055075)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.23/0.43 % (1055075)CaDiCaL version: 2.1.3
% 0.23/0.43 % (1055075)Termination reason: Instruction limit
% 0.23/0.43 % (1055075)Termination phase: Property scanning
% 0.23/0.43 % (1055075)Time elapsed: 0.004 s
% 0.23/0.43 % (1055075)Peak memory usage: 10 MB
% 0.23/0.43 % (1055075)Instructions burned: 10 (million)
% 0.23/0.43 % (1055076)Instruction limit reached!
% 0.23/0.43 % (1055076)------------------------------
% 0.23/0.43 % (1055076)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.23/0.43 % (1055076)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.23/0.43 % (1055076)CaDiCaL version: 2.1.3
% 0.23/0.43 % (1055076)Termination reason: Instruction limit
% 0.23/0.43 % (1055076)Termination phase: shuffling
% 0.23/0.43 % (1055076)Time elapsed: 0.001 s
% 0.23/0.43 % (1055076)Peak memory usage: 10 MB
% 0.23/0.43 % (1055076)Instructions burned: 2 (million)
% 0.23/0.43 % (1055073)Instruction limit reached!
% 0.23/0.43 % (1055073)------------------------------
% 0.23/0.43 % (1055073)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.23/0.43 % (1055073)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.23/0.43 % (1055073)CaDiCaL version: 2.1.3
% 0.23/0.43 % (1055073)Termination reason: Instruction limit
% 0.23/0.43 % (1055073)Termination phase: Saturation
% 0.23/0.43 % (1055073)Time elapsed: 0.019 s
% 0.23/0.43 % (1055073)Peak memory usage: 12 MB
% 0.23/0.43 % (1055073)Instructions burned: 88 (million)
% 0.23/0.43 % (1055071)Instruction limit reached!
% 0.23/0.43 % (1055071)------------------------------
% 0.23/0.43 % (1055071)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.23/0.43 % (1055071)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.23/0.43 % (1055071)CaDiCaL version: 2.1.3
% 0.23/0.43 % (1055071)Termination reason: Instruction limit
% 0.23/0.43 % (1055071)Termination phase: Property scanning
% 0.23/0.43 % (1055071)Time elapsed: 0.014 s
% 0.23/0.43 % (1055071)Peak memory usage: 11 MB
% 0.23/0.43 % (1055071)Instructions burned: 35 (million)
% 0.23/0.43 % (1055057) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-1055046-1055057"...
% 0.23/0.43 % (1055057)...printing done.
% 0.23/0.43 % (1055057)Refutation found. Thanks to Tanya!
% 0.23/0.43 % SZS status Theorem for theBenchmark
% 0.23/0.43 % SZS output start Proof for theBenchmark
% See solution above
% 0.23/0.43 % (1055057)------------------------------
% 0.23/0.43 % (1055057)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.23/0.43 % (1055057)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.23/0.43 % (1055057)CaDiCaL version: 2.1.3
% 0.23/0.43 % (1055057)Termination reason: Refutation
% 0.23/0.43 % (1055057)Time elapsed: 0.055 s
% 0.23/0.43 % (1055057)Peak memory usage: 14 MB
% 0.23/0.43 % (1055057)Instructions burned: 123 (million)
% 0.23/0.43 % (1055046)Success in time 0.107 s
% 0.23/0.43 % Vampire exiting
%------------------------------------------------------------------------------