%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : AGT029^1 : TPTP v9.3.1. Released v5.2.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% Computer : n005.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 07:44:40 AM UTC 2026
% Result : Theorem 13.78s 2.26s
% Output : Refutation 13.78s
% Verified :
% SZS Type : Refutation
% Derivation depth : 28
% Number of leaves : 13
% Syntax : Number of formulae : 118 ( 68 unt; 0 typ; 1 def)
% Number of atoms : 662 ( 164 equ; 0 cnn)
% Maximal formula atoms : 7 ( 5 avg)
% Number of connectives : 1045 ( 108 ~; 119 |; 0 &; 748 @)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 8 ( 3 avg)
% Number of types : 3 ( 1 usr)
% Number of type conns : 177 ( 177 >; 0 *; 0 +; 0 <<)
% Number of symbols : 136 ( 132 usr; 9 con; 0-4 aty)
% ( 70 !!; 0 ??; 0 @@+; 0 @@-)
% Number of variables : 367 ( 263 ^; 104 !; 0 ?; 367 :)
% 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,
db2:
!>[X0: $tType] : X0 ).
thf(func_def_48,type,
db1:
!>[X0: $tType] : X0 ).
thf(func_def_49,type,
vEQ:
!>[X0: $tType] : ( X0 > X0 > $o ) ).
thf(func_def_50,type,
vLAM:
!>[X0: $tType,X1: $tType] : ( X1 > X0 > X1 ) ).
thf(func_def_51,type,
db0:
!>[X0: $tType] : X0 ).
thf(func_def_52,type,
vNOT: $o > $o ).
thf(func_def_53,type,
vOR: $o > $o > $o ).
thf(func_def_54,type,
vPI:
!>[X0: $tType] : ( ( X0 > $o ) > $o ) ).
thf(func_def_57,type,
db3:
!>[X0: $tType] : X0 ).
thf(func_def_58,type,
vIMP: $o > $o > $o ).
thf(func_def_59,type,
vSIGMA:
!>[X0: $tType] : ( ( X0 > $o ) > $o ) ).
thf(func_def_60,type,
vAND: $o > $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 > ( $i > $o ) > $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 > ( $i > $o ) > $i ).
thf(func_def_73,type,
sK11: $i > ( $i > $o ) > $i ).
thf(func_def_74,type,
sK12: $i > ( $i > $o ) > $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 > ( $i > $o ) > $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 > ( $i > $o ) > $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 > ( $i > $o ) > $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 > ( $i > $o ) > $i ).
thf(func_def_97,type,
sK35: $i > ( $i > $o ) > $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 > ( $i > $o ) > $i ).
thf(func_def_106,type,
sK44: $i > ( $i > $o ) > $i ).
thf(func_def_107,type,
sK45: $i > ( $i > $o ) > $i ).
thf(func_def_108,type,
sK46: $i > ( $i > $o ) > $i ).
thf(func_def_109,type,
sK47: $i > ( $i > $o ) > $i ).
thf(func_def_110,type,
sK48: $i > ( $i > $o ) > $i ).
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 > mu > $i ).
thf(func_def_114,type,
sK52: $i > mu > $i ).
thf(func_def_115,type,
sK53: $i > mu > $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 > mu > $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 > mu > $i ).
thf(func_def_122,type,
sK60: $i > mu > $i ).
thf(func_def_123,type,
sK61: $i > mu > $i ).
thf(func_def_124,type,
sK62: $i > mu > $i ).
thf(func_def_125,type,
sK63: $i > mu > $i ).
thf(func_def_126,type,
sK64: $i > mu > $i ).
thf(func_def_127,type,
sK65: $i > mu > $i ).
thf(func_def_128,type,
sK66: $i > mu > $i ).
thf(func_def_130,type,
sK68: mu > $i ).
thf(func_def_131,type,
sK69: $i > mu ).
thf(func_def_132,type,
sK70: mu > $i ).
thf(func_def_133,type,
sK71: mu > $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,
( mor
= ( ^ [X0: $i > $o,X1: $i > $o,X2: $i] :
( ( X1 @ X2 )
| ( X0 @ X2 ) ) ) ),
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,
( mforall_ind
= ( ^ [X0: mu > $i > $o,X1: $i] :
! [X2: mu] : ( X0 @ X2 @ X1 ) ) ),
file('/export/starexec/sandbox2/benchmark/Axioms/LCL013^0.ax',mforall_ind) ).
thf(f11,axiom,
( mforall_prop
= ( ^ [X0: ( $i > $o ) > $i > $o,X1: $i] :
! [X2: $i > $o] : ( X0 @ X2 @ X1 ) ) ),
file('/export/starexec/sandbox2/benchmark/Axioms/LCL013^0.ax',mforall_prop) ).
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,
( mbox
= ( ^ [X0: $i > $i > $o,X1: $i > $o,X2: $i] :
! [X3: $i] :
( ( X1 @ X3 )
| ~ ( X0 @ X2 @ X3 ) ) ) ),
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(f63,axiom,
( mvalid
@ ( mforall_prop
@ ^ [X0: $i > $o] : ( mimplies @ ( mbox @ r4 @ X0 ) @ ( mbox @ r2 @ X0 ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_I_for_r4_r2) ).
thf(f98,conjecture,
( mvalid
@ ( mexists_ind
@ ^ [X0: mu] : ( mbox @ r2 @ ( good_in_maths @ X0 ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',conj) ).
thf(f99,negated_conjecture,
~ ( mvalid
@ ( mexists_ind
@ ^ [X0: mu] : ( mbox @ r2 @ ( good_in_maths @ X0 ) ) ) ),
inference(negated_conjecture,[status(cth)],[f98]) ).
thf(f102,plain,
( mnot
= ( ^ [X0: $i > $o,X1: $i] :
~ ( X0 @ X1 ) ) ),
inference(rectify,[],[f3]) ).
thf(f103,plain,
( mnot
= ( ^ [Y0: $i > $o,Y1: $i] :
~ ( Y0 @ Y1 ) ) ),
inference(fool_elimination,[],[f102]) ).
thf(f104,plain,
( mor
= ( ^ [X0: $i > $o,X1: $i > $o,X2: $i] :
( ( X1 @ X2 )
| ( X0 @ X2 ) ) ) ),
inference(rectify,[],[f4]) ).
thf(f105,plain,
( mor
= ( ^ [Y0: $i > $o,Y1: $i > $o,Y2: $i] :
( ( Y0 @ Y2 )
| ( Y1 @ Y2 ) ) ) ),
inference(fool_elimination,[],[f104]) ).
thf(f107,plain,
( mimplies
= ( ^ [Y0: $i > $o,Y1: $i > $o] : ( mor @ ( mnot @ Y0 ) @ Y1 ) ) ),
inference(fool_elimination,[],[f6]) ).
thf(f111,plain,
( mforall_ind
= ( ^ [X0: mu > $i > $o,X1: $i] :
! [X2: mu] : ( X0 @ X2 @ X1 ) ) ),
inference(rectify,[],[f10]) ).
thf(f112,plain,
( mforall_ind
= ( ^ [Y0: mu > $i > $o,Y1: $i] :
( !! @ mu
@ ^ [Y2: mu] : ( Y0 @ Y2 @ Y1 ) ) ) ),
inference(fool_elimination,[],[f111]) ).
thf(f113,plain,
( mforall_prop
= ( ^ [X0: ( $i > $o ) > $i > $o,X1: $i] :
! [X2: $i > $o] : ( X0 @ X2 @ X1 ) ) ),
inference(rectify,[],[f11]) ).
thf(f114,plain,
( mforall_prop
= ( ^ [Y0: ( $i > $o ) > $i > $o,Y1: $i] :
( !! @ ( $i > $o )
@ ^ [Y2: $i > $o] : ( Y0 @ Y2 @ Y1 ) ) ) ),
inference(fool_elimination,[],[f113]) ).
thf(f115,plain,
( mexists_ind
= ( ^ [X0: mu > $i > $o] :
( mnot
@ ( mforall_ind
@ ^ [X1: mu] : ( mnot @ ( X0 @ X1 ) ) ) ) ) ),
inference(rectify,[],[f12]) ).
thf(f116,plain,
( mexists_ind
= ( ^ [Y0: mu > $i > $o] :
( mnot
@ ( mforall_ind
@ ^ [Y1: mu] : ( mnot @ ( Y0 @ Y1 ) ) ) ) ) ),
inference(fool_elimination,[],[f115]) ).
thf(f120,plain,
( mbox
= ( ^ [X0: $i > $i > $o,X1: $i > $o,X2: $i] :
! [X3: $i] :
( ( X1 @ X3 )
| ~ ( X0 @ X2 @ X3 ) ) ) ),
inference(rectify,[],[f16]) ).
thf(f121,plain,
( mbox
= ( ^ [Y0: $i > $i > $o,Y1: $i > $o,Y2: $i] :
( !! @ $i
@ ^ [Y3: $i] :
( ~ ( Y0 @ Y2 @ Y3 )
| ( Y1 @ Y3 ) ) ) ) ),
inference(fool_elimination,[],[f120]) ).
thf(f143,plain,
( mvalid
= ( ^ [X0: $i > $o] :
! [X1: $i] : ( X0 @ X1 ) ) ),
inference(rectify,[],[f28]) ).
thf(f144,plain,
( mvalid
= ( ^ [Y0: $i > $o] :
( !! @ $i
@ ^ [Y1: $i] : ( Y0 @ Y1 ) ) ) ),
inference(fool_elimination,[],[f143]) ).
thf(f151,plain,
( mvalid
@ ( mforall_ind
@ ^ [X0: mu] : ( mimplies @ ( maths_teacher @ X0 ) @ ( mbox @ r4 @ ( good_in_maths @ X0 ) ) ) ) ),
inference(rectify,[],[f32]) ).
thf(f152,plain,
( $true
= ( mvalid
@ ( mforall_ind
@ ^ [Y0: mu] : ( mimplies @ ( maths_teacher @ Y0 ) @ ( mbox @ r4 @ ( good_in_maths @ Y0 ) ) ) ) ) ),
inference(fool_elimination,[],[f151]) ).
thf(f185,plain,
mvalid @ ( maths_teacher @ john ),
inference(rectify,[],[f49]) ).
thf(f186,plain,
( ( mvalid @ ( maths_teacher @ john ) )
= $true ),
inference(fool_elimination,[],[f185]) ).
thf(f213,plain,
( mvalid
@ ( mforall_prop
@ ^ [X0: $i > $o] : ( mimplies @ ( mbox @ r4 @ X0 ) @ ( mbox @ r2 @ X0 ) ) ) ),
inference(rectify,[],[f63]) ).
thf(f214,plain,
( $true
= ( mvalid
@ ( mforall_prop
@ ^ [Y0: $i > $o] : ( mimplies @ ( mbox @ r4 @ Y0 ) @ ( mbox @ r2 @ Y0 ) ) ) ) ),
inference(fool_elimination,[],[f213]) ).
thf(f283,plain,
~ ( mvalid
@ ( mexists_ind
@ ^ [X0: mu] : ( mbox @ r2 @ ( good_in_maths @ X0 ) ) ) ),
inference(rectify,[],[f99]) ).
thf(f284,plain,
( $true
!= ( mvalid
@ ( mexists_ind
@ ^ [Y0: mu] : ( mbox @ r2 @ ( good_in_maths @ Y0 ) ) ) ) ),
inference(fool_elimination,[],[f283]) ).
thf(f285,plain,
( $true
!= ( mvalid
@ ( mexists_ind
@ ^ [Y0: mu] : ( mbox @ r2 @ ( good_in_maths @ Y0 ) ) ) ) ),
inference(flattening,[],[f284]) ).
thf(f288,plain,
( mnot
= ( ^ [Y0: $i > $o,Y1: $i] :
~ ( Y0 @ Y1 ) ) ),
inference(cnf_transformation,[],[f103]) ).
thf(f289,plain,
( mor
= ( ^ [Y0: $i > $o,Y1: $i > $o,Y2: $i] :
( ( Y0 @ Y2 )
| ( Y1 @ Y2 ) ) ) ),
inference(cnf_transformation,[],[f105]) ).
thf(f291,plain,
( mimplies
= ( ^ [Y0: $i > $o,Y1: $i > $o] : ( mor @ ( mnot @ Y0 ) @ Y1 ) ) ),
inference(cnf_transformation,[],[f107]) ).
thf(f295,plain,
( mforall_ind
= ( ^ [Y0: mu > $i > $o,Y1: $i] :
( !! @ mu
@ ^ [Y2: mu] : ( Y0 @ Y2 @ Y1 ) ) ) ),
inference(cnf_transformation,[],[f112]) ).
thf(f296,plain,
( mforall_prop
= ( ^ [Y0: ( $i > $o ) > $i > $o,Y1: $i] :
( !! @ ( $i > $o )
@ ^ [Y2: $i > $o] : ( Y0 @ Y2 @ Y1 ) ) ) ),
inference(cnf_transformation,[],[f114]) ).
thf(f297,plain,
( mexists_ind
= ( ^ [Y0: mu > $i > $o] :
( mnot
@ ( mforall_ind
@ ^ [Y1: mu] : ( mnot @ ( Y0 @ Y1 ) ) ) ) ) ),
inference(cnf_transformation,[],[f116]) ).
thf(f301,plain,
( mbox
= ( ^ [Y0: $i > $i > $o,Y1: $i > $o,Y2: $i] :
( !! @ $i
@ ^ [Y3: $i] :
( ~ ( Y0 @ Y2 @ Y3 )
| ( Y1 @ Y3 ) ) ) ) ),
inference(cnf_transformation,[],[f121]) ).
thf(f313,plain,
( mvalid
= ( ^ [Y0: $i > $o] :
( !! @ $i
@ ^ [Y1: $i] : ( Y0 @ Y1 ) ) ) ),
inference(cnf_transformation,[],[f144]) ).
thf(f317,plain,
( $true
= ( mvalid
@ ( mforall_ind
@ ^ [Y0: mu] : ( mimplies @ ( maths_teacher @ Y0 ) @ ( mbox @ r4 @ ( good_in_maths @ Y0 ) ) ) ) ) ),
inference(cnf_transformation,[],[f152]) ).
thf(f334,plain,
( ( mvalid @ ( maths_teacher @ john ) )
= $true ),
inference(cnf_transformation,[],[f186]) ).
thf(f348,plain,
( $true
= ( mvalid
@ ( mforall_prop
@ ^ [Y0: $i > $o] : ( mimplies @ ( mbox @ r4 @ Y0 ) @ ( mbox @ r2 @ Y0 ) ) ) ) ),
inference(cnf_transformation,[],[f214]) ).
thf(f383,plain,
( $true
!= ( mvalid
@ ( mexists_ind
@ ^ [Y0: mu] : ( mbox @ r2 @ ( good_in_maths @ Y0 ) ) ) ) ),
inference(cnf_transformation,[],[f285]) ).
thf(f387,plain,
( mimplies
= ( ^ [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,[],[f291,f289,f288]) ).
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,[],[f297,f288,f295,f288]) ).
thf(f395,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] :
( ( Y3 @ Y5 )
| ( Y4 @ 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] :
( ~ ( Y1 @ Y3 @ Y4 )
| ( Y2 @ Y4 ) ) )
@ r4
@ ( good_in_maths @ Y0 ) ) ) ) ) ),
inference(definition_unfolding,[],[f317,f313,f295,f387,f301]) ).
thf(f412,plain,
( $true
= ( ^ [Y0: $i > $o] :
( !! @ $i
@ ^ [Y1: $i] : ( Y0 @ Y1 ) )
@ ( maths_teacher @ john ) ) ),
inference(definition_unfolding,[],[f334,f313]) ).
thf(f426,plain,
( $true
= ( ^ [Y0: $i > $o] :
( !! @ $i
@ ^ [Y1: $i] : ( Y0 @ Y1 ) )
@ ( ^ [Y0: ( $i > $o ) > $i > $o,Y1: $i] :
( !! @ ( $i > $o )
@ ^ [Y2: $i > $o] : ( Y0 @ Y2 @ Y1 ) )
@ ^ [Y0: $i > $o] :
( ^ [Y1: $i > $o,Y2: $i > $o] :
( ^ [Y3: $i > $o,Y4: $i > $o,Y5: $i] :
( ( Y3 @ Y5 )
| ( Y4 @ Y5 ) )
@ ( ^ [Y3: $i > $o,Y4: $i] :
~ ( Y3 @ Y4 )
@ Y1 )
@ Y2 )
@ ( ^ [Y1: $i > $i > $o,Y2: $i > $o,Y3: $i] :
( !! @ $i
@ ^ [Y4: $i] :
( ~ ( Y1 @ Y3 @ Y4 )
| ( Y2 @ Y4 ) ) )
@ r4
@ Y0 )
@ ( ^ [Y1: $i > $i > $o,Y2: $i > $o,Y3: $i] :
( !! @ $i
@ ^ [Y4: $i] :
( ~ ( Y1 @ Y3 @ Y4 )
| ( Y2 @ Y4 ) ) )
@ r2
@ Y0 ) ) ) ) ),
inference(definition_unfolding,[],[f348,f313,f296,f387,f301,f301]) ).
thf(f461,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] :
( ~ ( Y1 @ Y3 @ Y4 )
| ( Y2 @ Y4 ) ) )
@ r2
@ ( good_in_maths @ Y0 ) ) ) ) ),
inference(definition_unfolding,[],[f383,f313,f391,f301]) ).
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] :
( ~ ( Y1 @ Y3 @ Y4 )
| ( Y2 @ Y4 ) ) )
@ r2
@ ( 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] :
( ~ ( Y1 @ Y3 @ Y4 )
| ( Y2 @ Y4 ) ) )
@ r2
@ ( good_in_maths @ Y0 ) ) ) )
= sF0 ),
inference(reorient_equations,[],[f462]) ).
thf(f464,plain,
$true != sF0,
inference(definition_folding,[],[f461,f463]) ).
thf(f1209,plain,
( $true
= ( !! @ $i
@ ^ [Y0: $i] :
( !! @ ( $i > $o )
@ ^ [Y1: $i > $o] :
( ~ ( !! @ $i
@ ^ [Y2: $i] :
( ~ ( r4 @ Y0 @ Y2 )
| ( Y1 @ Y2 ) ) )
| ( !! @ $i
@ ^ [Y2: $i] :
( ~ ( r2 @ Y0 @ Y2 )
| ( Y1 @ Y2 ) ) ) ) ) ) ),
inference(beta-eta_normalization,[],[f426]) ).
thf(f1210,plain,
! [X1: $i] :
( $true
= ( ^ [Y0: $i] :
( !! @ ( $i > $o )
@ ^ [Y1: $i > $o] :
( ~ ( !! @ $i
@ ^ [Y2: $i] :
( ~ ( r4 @ Y0 @ Y2 )
| ( Y1 @ Y2 ) ) )
| ( !! @ $i
@ ^ [Y2: $i] :
( ~ ( r2 @ Y0 @ Y2 )
| ( Y1 @ Y2 ) ) ) ) )
@ X1 ) ),
inference(pi_proxy_clausification,[],[f1209]) ).
thf(f1211,plain,
! [X1: $i] :
( $true
= ( !! @ ( $i > $o )
@ ^ [Y0: $i > $o] :
( ~ ( !! @ $i
@ ^ [Y1: $i] :
( ~ ( r4 @ X1 @ Y1 )
| ( Y0 @ Y1 ) ) )
| ( !! @ $i
@ ^ [Y1: $i] :
( ~ ( r2 @ X1 @ Y1 )
| ( Y0 @ Y1 ) ) ) ) ) ),
inference(beta-eta_normalization,[],[f1210]) ).
thf(f1212,plain,
! [X2: $i > $o,X1: $i] :
( $true
= ( ^ [Y0: $i > $o] :
( ~ ( !! @ $i
@ ^ [Y1: $i] :
( ~ ( r4 @ X1 @ Y1 )
| ( Y0 @ Y1 ) ) )
| ( !! @ $i
@ ^ [Y1: $i] :
( ~ ( r2 @ X1 @ Y1 )
| ( Y0 @ Y1 ) ) ) )
@ X2 ) ),
inference(pi_proxy_clausification,[],[f1211]) ).
thf(f1213,plain,
! [X2: $i > $o,X1: $i] :
( $true
= ( ~ ( !! @ $i
@ ^ [Y0: $i] :
( ~ ( r4 @ X1 @ Y0 )
| ( X2 @ Y0 ) ) )
| ( !! @ $i
@ ^ [Y0: $i] :
( ~ ( r2 @ X1 @ Y0 )
| ( X2 @ Y0 ) ) ) ) ),
inference(beta-eta_normalization,[],[f1212]) ).
thf(f1214,plain,
! [X2: $i > $o,X1: $i] :
( ( $true
= ( !! @ $i
@ ^ [Y0: $i] :
( ~ ( r2 @ X1 @ Y0 )
| ( X2 @ Y0 ) ) ) )
| ( $true
= ( ~ ( !! @ $i
@ ^ [Y0: $i] :
( ~ ( r4 @ X1 @ Y0 )
| ( X2 @ Y0 ) ) ) ) ) ),
inference(or_proxy_clausification,[],[f1213]) ).
thf(f1215,plain,
! [X2: $i > $o,X3: $i,X1: $i] :
( ( $true
= ( ^ [Y0: $i] :
( ~ ( r2 @ X1 @ Y0 )
| ( X2 @ Y0 ) )
@ X3 ) )
| ( $true
= ( ~ ( !! @ $i
@ ^ [Y0: $i] :
( ~ ( r4 @ X1 @ Y0 )
| ( X2 @ Y0 ) ) ) ) ) ),
inference(pi_proxy_clausification,[],[f1214]) ).
thf(f1216,plain,
! [X2: $i > $o,X3: $i,X1: $i] :
( ( $true
= ( ^ [Y0: $i] :
( ~ ( r2 @ X1 @ Y0 )
| ( X2 @ Y0 ) )
@ X3 ) )
| ( $false
= ( !! @ $i
@ ^ [Y0: $i] :
( ~ ( r4 @ X1 @ Y0 )
| ( X2 @ Y0 ) ) ) ) ),
inference(not_proxy_clausification,[],[f1215]) ).
thf(f1217,plain,
! [X2: $i > $o,X3: $i,X1: $i] :
( ( $true
= ( ^ [Y0: $i] :
( ~ ( r2 @ X1 @ Y0 )
| ( X2 @ Y0 ) )
@ X3 ) )
| ( $false
= ( ^ [Y0: $i] :
( ~ ( r4 @ X1 @ Y0 )
| ( X2 @ Y0 ) )
@ ( sK35 @ X1 @ X2 ) ) ) ),
inference(sigma_proxy_clausification,[],[f1216]) ).
thf(f1218,plain,
! [X2: $i > $o,X3: $i,X1: $i] :
( ( $true
= ( ~ ( r2 @ X1 @ X3 )
| ( X2 @ X3 ) ) )
| ( $false
= ( ~ ( r4 @ X1 @ ( sK35 @ X1 @ X2 ) )
| ( X2 @ ( sK35 @ X1 @ X2 ) ) ) ) ),
inference(beta-eta_normalization,[],[f1217]) ).
thf(f1219,plain,
! [X2: $i > $o,X3: $i,X1: $i] :
( ( $true
= ( X2 @ X3 ) )
| ( $false
= ( ~ ( r4 @ X1 @ ( sK35 @ X1 @ X2 ) )
| ( X2 @ ( sK35 @ X1 @ X2 ) ) ) )
| ( $true
= ( ~ ( r2 @ X1 @ X3 ) ) ) ),
inference(or_proxy_clausification,[],[f1218]) ).
thf(f1220,plain,
! [X2: $i > $o,X3: $i,X1: $i] :
( ( $true
= ( X2 @ X3 ) )
| ( $false
= ( X2 @ ( sK35 @ X1 @ X2 ) ) )
| ( $true
= ( ~ ( r2 @ X1 @ X3 ) ) ) ),
inference(or_proxy_clausification,[],[f1219]) ).
thf(f1221,plain,
! [X2: $i > $o,X3: $i,X1: $i] :
( ( $true
= ( X2 @ X3 ) )
| ( $false
= ( ~ ( r4 @ X1 @ ( sK35 @ X1 @ X2 ) ) ) )
| ( $true
= ( ~ ( r2 @ X1 @ X3 ) ) ) ),
inference(or_proxy_clausification,[],[f1219]) ).
thf(f1222,plain,
! [X2: $i > $o,X3: $i,X1: $i] :
( ( $true
= ( X2 @ X3 ) )
| ( $true
= ( r4 @ X1 @ ( sK35 @ X1 @ X2 ) ) )
| ( $true
= ( ~ ( r2 @ X1 @ X3 ) ) ) ),
inference(not_proxy_clausification,[],[f1221]) ).
thf(f1223,plain,
! [X2: $i > $o,X3: $i,X1: $i] :
( ( $true
= ( X2 @ X3 ) )
| ( $true
= ( r4 @ X1 @ ( sK35 @ X1 @ X2 ) ) )
| ( $false
= ( r2 @ X1 @ X3 ) ) ),
inference(not_proxy_clausification,[],[f1222]) ).
thf(f1224,plain,
! [X2: $i > $o,X3: $i,X1: $i] :
( ( $true
= ( X2 @ X3 ) )
| ( $false
= ( X2 @ ( sK35 @ X1 @ X2 ) ) )
| ( $false
= ( r2 @ X1 @ X3 ) ) ),
inference(not_proxy_clausification,[],[f1220]) ).
thf(f1431,plain,
( $true
= ( !! @ $i @ ( maths_teacher @ john ) ) ),
inference(beta-eta_normalization,[],[f412]) ).
thf(f1432,plain,
! [X1: $i] :
( $true
= ( maths_teacher @ john @ X1 ) ),
inference(pi_proxy_clausification,[],[f1431]) ).
thf(f1731,plain,
( $true
= ( !! @ $i
@ ^ [Y0: $i] :
( !! @ mu
@ ^ [Y1: mu] :
( ~ ( maths_teacher @ Y1 @ Y0 )
| ( !! @ $i
@ ^ [Y2: $i] :
( ~ ( r4 @ Y0 @ Y2 )
| ( good_in_maths @ Y1 @ Y2 ) ) ) ) ) ) ),
inference(beta-eta_normalization,[],[f395]) ).
thf(f1732,plain,
! [X1: $i] :
( $true
= ( ^ [Y0: $i] :
( !! @ mu
@ ^ [Y1: mu] :
( ~ ( maths_teacher @ Y1 @ Y0 )
| ( !! @ $i
@ ^ [Y2: $i] :
( ~ ( r4 @ Y0 @ Y2 )
| ( good_in_maths @ Y1 @ Y2 ) ) ) ) )
@ X1 ) ),
inference(pi_proxy_clausification,[],[f1731]) ).
thf(f1733,plain,
! [X1: $i] :
( $true
= ( !! @ mu
@ ^ [Y0: mu] :
( ~ ( maths_teacher @ Y0 @ X1 )
| ( !! @ $i
@ ^ [Y1: $i] :
( ~ ( r4 @ X1 @ Y1 )
| ( good_in_maths @ Y0 @ Y1 ) ) ) ) ) ),
inference(beta-eta_normalization,[],[f1732]) ).
thf(f1734,plain,
! [X2: mu,X1: $i] :
( $true
= ( ^ [Y0: mu] :
( ~ ( maths_teacher @ Y0 @ X1 )
| ( !! @ $i
@ ^ [Y1: $i] :
( ~ ( r4 @ X1 @ Y1 )
| ( good_in_maths @ Y0 @ Y1 ) ) ) )
@ X2 ) ),
inference(pi_proxy_clausification,[],[f1733]) ).
thf(f1735,plain,
! [X2: mu,X1: $i] :
( $true
= ( ~ ( maths_teacher @ X2 @ X1 )
| ( !! @ $i
@ ^ [Y0: $i] :
( ~ ( r4 @ X1 @ Y0 )
| ( good_in_maths @ X2 @ Y0 ) ) ) ) ),
inference(beta-eta_normalization,[],[f1734]) ).
thf(f1736,plain,
! [X2: mu,X1: $i] :
( ( $true
= ( !! @ $i
@ ^ [Y0: $i] :
( ~ ( r4 @ X1 @ Y0 )
| ( good_in_maths @ X2 @ Y0 ) ) ) )
| ( $true
= ( ~ ( maths_teacher @ X2 @ X1 ) ) ) ),
inference(or_proxy_clausification,[],[f1735]) ).
thf(f1737,plain,
! [X2: mu,X3: $i,X1: $i] :
( ( $true
= ( ^ [Y0: $i] :
( ~ ( r4 @ X1 @ Y0 )
| ( good_in_maths @ X2 @ Y0 ) )
@ X3 ) )
| ( $true
= ( ~ ( maths_teacher @ X2 @ X1 ) ) ) ),
inference(pi_proxy_clausification,[],[f1736]) ).
thf(f1738,plain,
! [X2: mu,X3: $i,X1: $i] :
( ( $true
= ( ^ [Y0: $i] :
( ~ ( r4 @ X1 @ Y0 )
| ( good_in_maths @ X2 @ Y0 ) )
@ X3 ) )
| ( $false
= ( maths_teacher @ X2 @ X1 ) ) ),
inference(not_proxy_clausification,[],[f1737]) ).
thf(f1739,plain,
! [X2: mu,X3: $i,X1: $i] :
( ( $true
= ( ~ ( r4 @ X1 @ X3 )
| ( good_in_maths @ X2 @ X3 ) ) )
| ( $false
= ( maths_teacher @ X2 @ X1 ) ) ),
inference(beta-eta_normalization,[],[f1738]) ).
thf(f1740,plain,
! [X2: mu,X3: $i,X1: $i] :
( ( $true
= ( good_in_maths @ X2 @ X3 ) )
| ( $false
= ( maths_teacher @ X2 @ X1 ) )
| ( $true
= ( ~ ( r4 @ X1 @ X3 ) ) ) ),
inference(or_proxy_clausification,[],[f1739]) ).
thf(f1741,plain,
! [X2: mu,X3: $i,X1: $i] :
( ( $true
= ( good_in_maths @ X2 @ X3 ) )
| ( $false
= ( maths_teacher @ X2 @ X1 ) )
| ( $false
= ( r4 @ X1 @ X3 ) ) ),
inference(not_proxy_clausification,[],[f1740]) ).
thf(f1743,plain,
( ( $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] :
( ~ ( Y1 @ Y3 @ Y4 )
| ( Y2 @ Y4 ) ) )
@ r2
@ ( good_in_maths @ Y0 ) ) ) ) )
| ( $true = sF0 ) ),
inference(iff_proxy_clausification,[],[f463]) ).
thf(f1744,plain,
( ( $false
= ( !! @ $i
@ ^ [Y0: $i] :
~ ( !! @ mu
@ ^ [Y1: mu] :
~ ( !! @ $i
@ ^ [Y2: $i] :
( ~ ( r2 @ Y0 @ Y2 )
| ( good_in_maths @ Y1 @ Y2 ) ) ) ) ) )
| ( $true = sF0 ) ),
inference(beta-eta_normalization,[],[f1743]) ).
thf(f1745,plain,
( ( $false
= ( ^ [Y0: $i] :
~ ( !! @ mu
@ ^ [Y1: mu] :
~ ( !! @ $i
@ ^ [Y2: $i] :
( ~ ( r2 @ Y0 @ Y2 )
| ( good_in_maths @ Y1 @ Y2 ) ) ) )
@ sK67 ) )
| ( $true = sF0 ) ),
inference(sigma_proxy_clausification,[],[f1744]) ).
thf(f1746,plain,
( ( $false
= ( ~ ( !! @ mu
@ ^ [Y0: mu] :
~ ( !! @ $i
@ ^ [Y1: $i] :
( ~ ( r2 @ sK67 @ Y1 )
| ( good_in_maths @ Y0 @ Y1 ) ) ) ) ) )
| ( $true = sF0 ) ),
inference(beta-eta_normalization,[],[f1745]) ).
thf(f1747,plain,
( ( $true
= ( !! @ mu
@ ^ [Y0: mu] :
~ ( !! @ $i
@ ^ [Y1: $i] :
( ~ ( r2 @ sK67 @ Y1 )
| ( good_in_maths @ Y0 @ Y1 ) ) ) ) )
| ( $true = sF0 ) ),
inference(not_proxy_clausification,[],[f1746]) ).
thf(f1748,plain,
! [X1: mu] :
( ( $true
= ( ^ [Y0: mu] :
~ ( !! @ $i
@ ^ [Y1: $i] :
( ~ ( r2 @ sK67 @ Y1 )
| ( good_in_maths @ Y0 @ Y1 ) ) )
@ X1 ) )
| ( $true = sF0 ) ),
inference(pi_proxy_clausification,[],[f1747]) ).
thf(f1749,plain,
! [X1: mu] :
( ( $true
= ( ~ ( !! @ $i
@ ^ [Y0: $i] :
( ~ ( r2 @ sK67 @ Y0 )
| ( good_in_maths @ X1 @ Y0 ) ) ) ) )
| ( $true = sF0 ) ),
inference(beta-eta_normalization,[],[f1748]) ).
thf(f1750,plain,
! [X1: mu] :
( ( $false
= ( !! @ $i
@ ^ [Y0: $i] :
( ~ ( r2 @ sK67 @ Y0 )
| ( good_in_maths @ X1 @ Y0 ) ) ) )
| ( $true = sF0 ) ),
inference(not_proxy_clausification,[],[f1749]) ).
thf(f1751,plain,
! [X1: mu] :
( ( $false
= ( ^ [Y0: $i] :
( ~ ( r2 @ sK67 @ Y0 )
| ( good_in_maths @ X1 @ Y0 ) )
@ ( sK68 @ X1 ) ) )
| ( $true = sF0 ) ),
inference(sigma_proxy_clausification,[],[f1750]) ).
thf(f1752,plain,
! [X1: mu] :
( ( $false
= ( ~ ( r2 @ sK67 @ ( sK68 @ X1 ) )
| ( good_in_maths @ X1 @ ( sK68 @ X1 ) ) ) )
| ( $true = sF0 ) ),
inference(beta-eta_normalization,[],[f1751]) ).
thf(f1753,plain,
! [X1: mu] :
( ( $false
= ( good_in_maths @ X1 @ ( sK68 @ X1 ) ) )
| ( $true = sF0 ) ),
inference(or_proxy_clausification,[],[f1752]) ).
thf(f1754,plain,
! [X1: mu] :
( ( $false
= ( ~ ( r2 @ sK67 @ ( sK68 @ X1 ) ) ) )
| ( $true = sF0 ) ),
inference(or_proxy_clausification,[],[f1752]) ).
thf(f1755,plain,
! [X1: mu] :
( ( $true
= ( r2 @ sK67 @ ( sK68 @ X1 ) ) )
| ( $true = sF0 ) ),
inference(not_proxy_clausification,[],[f1754]) ).
thf(f1767,plain,
! [X1: mu] :
( $true
= ( r2 @ sK67 @ ( sK68 @ X1 ) ) ),
inference(forward_subsumption_resolution,[],[f1755,f464]) ).
thf(f1768,plain,
! [X1: mu] :
( $false
= ( good_in_maths @ X1 @ ( sK68 @ X1 ) ) ),
inference(forward_subsumption_resolution,[],[f1753,f464]) ).
thf(f1798,plain,
! [X0: $i,X1: $i] :
( ( $true = $false )
| ( $true
= ( good_in_maths @ john @ X1 ) )
| ( $false
= ( r4 @ X0 @ X1 ) ) ),
inference(constrained_superposition,[],[f1432,f1741]) ).
thf(f1799,plain,
! [X0: $i,X1: $i] :
( ( $true
= ( good_in_maths @ john @ X1 ) )
| ( $false
= ( r4 @ X0 @ X1 ) ) ),
inference(trivial_inequality_removal,[],[f1798]) ).
thf(f1809,plain,
! [X0: $i] :
( ( $true = $false )
| ( $false
= ( r4 @ X0 @ ( sK68 @ john ) ) ) ),
inference(constrained_superposition,[],[f1768,f1799]) ).
thf(f1810,plain,
! [X0: $i] :
( $false
= ( r4 @ X0 @ ( sK68 @ john ) ) ),
inference(trivial_inequality_removal,[],[f1809]) ).
thf(f3224,plain,
! [X0: mu,X1: $i > $o] :
( ( $true = $false )
| ( $true
= ( X1 @ ( sK68 @ X0 ) ) )
| ( $false
= ( X1 @ ( sK35 @ sK67 @ X1 ) ) ) ),
inference(constrained_superposition,[],[f1767,f1224]) ).
thf(f3272,plain,
! [X0: mu,X1: $i > $o] :
( ( $true
= ( X1 @ ( sK68 @ X0 ) ) )
| ( $false
= ( X1 @ ( sK35 @ sK67 @ X1 ) ) ) ),
inference(trivial_inequality_removal,[],[f3224]) ).
thf(f3500,plain,
! [X0: mu] :
( ( sK68 @ X0 )
= ( sK35 @ sK67
@ ^ [Y0: $i] :
( Y0
!= ( sK68 @ X0 ) ) ) ),
inference(leibniz_equality_elimination,[],[f3272]) ).
thf(f10277,plain,
! [X0: mu,X1: $i > $o] :
( ( $true = $false )
| ( $true
= ( X1 @ ( sK68 @ X0 ) ) )
| ( $true
= ( r4 @ sK67 @ ( sK35 @ sK67 @ X1 ) ) ) ),
inference(constrained_superposition,[],[f1767,f1223]) ).
thf(f10362,plain,
! [X0: mu,X1: $i > $o] :
( ( $true
= ( X1 @ ( sK68 @ X0 ) ) )
| ( $true
= ( r4 @ sK67 @ ( sK35 @ sK67 @ X1 ) ) ) ),
inference(trivial_inequality_removal,[],[f10277]) ).
thf(f21775,plain,
! [X0: mu,X1: mu] :
( ( $true
= ( r4 @ sK67 @ ( sK68 @ X0 ) ) )
| ( $true
= ( ^ [Y0: $i] :
( Y0
!= ( sK68 @ X0 ) )
@ ( sK68 @ X1 ) ) ) ),
inference(constrained_superposition,[],[f10362,f3500]) ).
thf(f21788,plain,
! [X0: mu,X1: mu] :
( ( $true
= ( r4 @ sK67 @ ( sK68 @ X0 ) ) )
| ( $true
= ( ( sK68 @ X1 )
!= ( sK68 @ X0 ) ) ) ),
inference(beta-eta_normalization,[],[f21775]) ).
thf(f21789,plain,
! [X0: mu,X1: mu] :
( ( $true
= ( r4 @ sK67 @ ( sK68 @ X0 ) ) )
| ( $false
= ( ( sK68 @ X1 )
= ( sK68 @ X0 ) ) ) ),
inference(not_proxy_clausification,[],[f21788]) ).
thf(f21790,plain,
! [X0: mu,X1: mu] :
( ( ( sK68 @ X1 )
!= ( sK68 @ X0 ) )
| ( $true
= ( r4 @ sK67 @ ( sK68 @ X0 ) ) ) ),
inference(equality_proxy_clausification,[],[f21789]) ).
thf(f22071,plain,
! [X0: mu] :
( $true
= ( r4 @ sK67 @ ( sK68 @ X0 ) ) ),
inference(equality_resolution,[],[f21790]) ).
thf(f22396,plain,
$true = $false,
inference(constrained_superposition,[],[f1810,f22071]) ).
thf(f22463,plain,
$false,
inference(trivial_inequality_removal,[],[f22396]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : AGT029^1 : TPTP v9.3.1. Released v5.2.0.
% 0.00/0.07 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.10/0.22 % Computer : n005.cluster.edu
% 0.10/0.22 % Model : x86_64 x86_64
% 0.10/0.22 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.22 % Memory : 8046.5625MB
% 0.10/0.22 % OS : Linux 6.8.0-71-generic
% 0.10/0.22 % CPULimit : 300
% 0.10/0.22 % WCLimit : 300
% 0.10/0.22 % DateTime : Tue Sep 29 17:29:25 UTC 2026
% 0.10/0.22 % CPUTime :
% 0.10/0.22 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.10/0.27 Running first-order model finding
% 0.10/0.27 Running: /export/starexec/sandbox2/solver/bin/vampire-ho --input_syntax tptp --output_axiom_names on --mode casc --intent sat -m 16384 --cores 7 -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 3.97/1.02 % (1965572)Will run a generic schedule for satisfiability detection.
% 3.97/1.02 % (1965584)ott-3_16_to=lpo:sil=16000:sp=arity:fd=off:rp=on:random_seed=2136034425:i=159:bs=unit_only:nicw=on:fsr=off:amm=off_2999 on theBenchmark for (2999ds/159Mi)
% 3.97/1.02 % (1965581)dis+10_1_sil=32000:sp=arity:random_seed=2515070735:i=103:fgj=on_2999 on theBenchmark for (2999ds/103Mi)
% 3.97/1.02 % (1965579)% WARNING: option uhcvi not known.
% 3.97/1.02 % (1965580)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=732838129:i=88024:add=on:rawr=on_2999 on theBenchmark for (2999ds/88024Mi)
% 3.97/1.02 % (1965578)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=499612861_2999 on theBenchmark for (2999ds/0Mi)
% 3.97/1.02 % (1965583)ott+1_1_to=lpo:sil=16000:sp=reverse_arity:erd=off:random_seed=194212972:i=131_2999 on theBenchmark for (2999ds/131Mi)
% 3.97/1.02 % (1965579)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=3582046393:i=135531:add=off:rawr=on_2999 on theBenchmark for (2999ds/135531Mi)
% 3.97/1.02 % (1965582)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=3561611041:i=116_2999 on theBenchmark for (2999ds/116Mi)
% 3.97/1.02 % (1965579)WARNING: Not using 'newcnf' as currently not compatible with higher-order inputs.
% 3.97/1.02 % (1965582)WARNING: Not using 'newcnf' as currently not compatible with higher-order inputs.
% 3.97/1.02 % Exception at run slice level
% 3.97/1.02 User error: Finite model building is currently not compatible with polymorphism or higher-order constructs
% 3.97/1.02 % (1965579)WARNING: Look ahead literal selection is not currently compatible with higher-order. Ignoring request to use
% 3.97/1.02 % (1965581)Instruction limit reached!
% 3.97/1.02 % (1965581)------------------------------
% 3.97/1.02 % (1965581)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 3.97/1.02 % (1965581)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.97/1.02 % (1965581)CaDiCaL version: 2.1.3
% 3.97/1.02 % (1965581)Termination reason: Instruction limit
% 3.97/1.02 % (1965581)Termination phase: Saturation
% 3.97/1.02 % (1965581)Time elapsed: 0.047 s
% 3.97/1.02 % (1965581)Peak memory usage: 12 MB
% 3.97/1.02 % (1965581)Instructions burned: 104 (million)
% 3.97/1.02 % (1965584)Instruction limit reached!
% 3.97/1.02 % (1965584)------------------------------
% 3.97/1.02 % (1965584)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 3.97/1.02 % (1965584)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.97/1.02 % (1965584)CaDiCaL version: 2.1.3
% 3.97/1.02 % (1965584)Termination reason: Instruction limit
% 3.97/1.02 % (1965584)Termination phase: Saturation
% 3.97/1.02 % (1965584)Time elapsed: 0.059 s
% 3.97/1.02 % (1965584)Peak memory usage: 13 MB
% 3.97/1.02 % (1965584)Instructions burned: 161 (million)
% 3.97/1.02 % (1965597)fmb+10_1_fmbas=predicate:sil=64000:sas=cadical:random_seed=769461584:i=714:nm=2_2999 on theBenchmark for (2999ds/714Mi)
% 3.97/1.02 % (1965600)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=4252961517:i=684:slsql=off:bs=unit_only:nicw=on:rawr=on_2999 on theBenchmark for (2999ds/684Mi)
% 3.97/1.02 % (1965599)ott+32_1_sil=16000:bsd=on:sp=const_max:bce=on:random_seed=3995448429:i=131:bd=preordered:fsd=on_2999 on theBenchmark for (2999ds/131Mi)
% 3.97/1.02 % (1965600)WARNING: Not using 'newcnf' as currently not compatible with higher-order inputs.
% 3.97/1.02 % (1965582)Instruction limit reached!
% 3.97/1.02 % (1965582)------------------------------
% 3.97/1.02 % (1965582)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 3.97/1.02 % (1965582)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.97/1.02 % (1965582)CaDiCaL version: 2.1.3
% 3.97/1.02 % (1965582)Termination reason: Instruction limit
% 3.97/1.02 % (1965582)Termination phase: Saturation
% 3.97/1.02 % (1965582)Time elapsed: 0.065 s
% 3.97/1.02 % (1965582)Peak memory usage: 12 MB
% 3.97/1.02 % (1965582)Instructions burned: 117 (million)
% 3.97/1.02 % (1965600)WARNING: Look ahead literal selection is not currently compatible with higher-order. Ignoring request to use
% 3.97/1.02 % (1965583)Instruction limit reached!
% 3.97/1.02 % (1965583)------------------------------
% 3.97/1.02 % (1965583)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 3.97/1.02 % (1965583)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 13.78/2.26 % (1965583)CaDiCaL version: 2.1.3
% 13.78/2.26 % (1965583)Termination reason: Instruction limit
% 13.78/2.26 % (1965583)Termination phase: Saturation
% 13.78/2.26 % (1965583)Time elapsed: 0.072 s
% 13.78/2.26 % (1965583)Peak memory usage: 13 MB
% 13.78/2.26 % (1965583)Instructions burned: 131 (million)
% 13.78/2.26 % Exception at run slice level
% 13.78/2.26 User error: Finite model building is currently not compatible with polymorphism or higher-order constructs
% 13.78/2.26 % (1965604)ott-21_1_sil=16000:fs=off:random_seed=1286603866:i=180:av=off:fsr=off_2998 on theBenchmark for (2998ds/180Mi)
% 13.78/2.26 % (1965605)dis+10_4_sil=64000:sp=reverse_arity:bsr=on:sac=on:cn=on:random_seed=3830319410:i=477:bd=all_2998 on theBenchmark for (2998ds/477Mi)
% 13.78/2.26 % (1965606)fmb+10_1_sil=64000:erd=off:updr=off:random_seed=3352081997:fmbsr=1.3:i=865:ins=25_2998 on theBenchmark for (2998ds/865Mi)
% 13.78/2.26 % Exception at run slice level
% 13.78/2.26 User error: Finite model building is currently not compatible with polymorphism or higher-order constructs
% 13.78/2.26 % (1965599)Instruction limit reached!
% 13.78/2.26 % (1965599)------------------------------
% 13.78/2.26 % (1965599)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 13.78/2.26 % (1965599)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 13.78/2.26 % (1965599)CaDiCaL version: 2.1.3
% 13.78/2.26 % (1965599)Termination reason: Instruction limit
% 13.78/2.26 % (1965599)Termination phase: Saturation
% 13.78/2.26 % (1965599)Time elapsed: 0.056 s
% 13.78/2.26 % (1965599)Peak memory usage: 13 MB
% 13.78/2.26 % (1965599)Instructions burned: 133 (million)
% 13.78/2.26 % (1965610)ott+10_1_to=lpo:sil=64000:tgt=full:sp=arity:spb=goal_then_units:random_seed=1585633253:i=1179_2998 on theBenchmark for (2998ds/1179Mi)
% 13.78/2.26 % (1965611)fmb+10_1_sil=64000:erd=off:fmbss=14:random_seed=1962440351:i=889:ins=1_2998 on theBenchmark for (2998ds/889Mi)
% 13.78/2.26 % Exception at run slice level
% 13.78/2.26 User error: Finite model building is currently not compatible with polymorphism or higher-order constructs
% 13.78/2.26 % (1965604)Instruction limit reached!
% 13.78/2.26 % (1965604)------------------------------
% 13.78/2.26 % (1965604)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 13.78/2.26 % (1965604)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 13.78/2.26 % (1965604)CaDiCaL version: 2.1.3
% 13.78/2.26 % (1965604)Termination reason: Instruction limit
% 13.78/2.26 % (1965604)Termination phase: Saturation
% 13.78/2.26 % (1965604)Time elapsed: 0.077 s
% 13.78/2.26 % (1965604)Peak memory usage: 13 MB
% 13.78/2.26 % (1965604)Instructions burned: 181 (million)
% 13.78/2.26 % (1965614)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=3548402872:avsq=on:s2a=on:i=692:avsqr=8,1:kws=arity_squared:bs=unit_only:nm=2:rawr=on_2998 on theBenchmark for (2998ds/692Mi)
% 13.78/2.26 % (1965615)dis-10_1_anc=none:sil=64000:spb=goal:newcnf=on:cn=on:random_seed=65045996:i=879:kws=inv_precedence:fsr=off_2998 on theBenchmark for (2998ds/879Mi)
% 13.78/2.26 % (1965614)WARNING: Not using 'newcnf' as currently not compatible with higher-order inputs.
% 13.78/2.26 % (1965615)WARNING: Not using 'newcnf' as currently not compatible with higher-order inputs.
% 13.78/2.26 % (1965600)Instruction limit reached!
% 13.78/2.26 % (1965600)------------------------------
% 13.78/2.26 % (1965600)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 13.78/2.26 % (1965600)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 13.78/2.26 % (1965600)CaDiCaL version: 2.1.3
% 13.78/2.26 % (1965600)Termination reason: Instruction limit
% 13.78/2.26 % (1965600)Termination phase: Saturation
% 13.78/2.26 % (1965600)Time elapsed: 0.163 s
% 13.78/2.26 % (1965600)Peak memory usage: 15 MB
% 13.78/2.26 % (1965600)Instructions burned: 687 (million)
% 13.78/2.26 % (1965632)fmb+10_1_sil=64000:random_seed=1493060889:i=22061:nm=2:gsp=on_2997 on theBenchmark for (2997ds/22061Mi)
% 13.78/2.26 % (1965632)WARNING: Not using GeneralSplitting currently not compatible with polymorphic/higher-order inputs.
% 13.78/2.26 % Exception at run slice level
% 13.78/2.26 User error: Finite model building is currently not compatible with polymorphism or higher-order constructs
% 13.78/2.26 % (1965643)fmb+10_1_sil=16000:sas=cadical:fmbss=20:random_seed=1890054952:i=9515:nm=5_2997 on theBenchmark for (2997ds/9515Mi)
% 13.78/2.26 % Exception at run slice level
% 13.78/2.26 User error: Finite model building is currently not compatible with polymorphism or higher-order constructs
% 13.78/2.26 % (1965656)fmb+10_1_sil=64000:sas=cadical:fmbss=8:random_seed=389828614:fmbsr=1.7:i=920_2996 on theBenchmark for (2996ds/920Mi)
% 13.78/2.26 % Exception at run slice level
% 13.78/2.26 User error: Finite model building is currently not compatible with polymorphism or higher-order constructs
% 13.78/2.26 % (1965663)dis-4_1_sil=16000:drc=ordering:sp=const_frequency:sac=on:newcnf=on:random_seed=558342275:i=5131_2996 on theBenchmark for (2996ds/5131Mi)
% 13.78/2.26 % (1965663)WARNING: Not using 'newcnf' as currently not compatible with higher-order inputs.
% 13.78/2.26 % (1965605)Instruction limit reached!
% 13.78/2.26 % (1965605)------------------------------
% 13.78/2.26 % (1965605)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 13.78/2.26 % (1965605)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 13.78/2.26 % (1965605)CaDiCaL version: 2.1.3
% 13.78/2.26 % (1965605)Termination reason: Instruction limit
% 13.78/2.26 % (1965605)Termination phase: Saturation
% 13.78/2.26 % (1965605)Time elapsed: 0.227 s
% 13.78/2.26 % (1965605)Peak memory usage: 14 MB
% 13.78/2.26 % (1965605)Instructions burned: 478 (million)
% 13.78/2.26 % (1965679)ott+11_16_sil=32000:fde=unused:bsd=on:sas=cadical:sp=arity:spb=units:lsd=10:nwc=3:random_seed=526321810:i=1472:ins=7:fdi=8:gsp=on_2996 on theBenchmark for (2996ds/1472Mi)
% 13.78/2.26 % (1965679)WARNING: Not using GeneralSplitting currently not compatible with polymorphic/higher-order inputs.
% 13.78/2.26 % (1965679)WARNING: Look ahead literal selection is not currently compatible with higher-order. Ignoring request to use
% 13.78/2.26 % (1965614)Instruction limit reached!
% 13.78/2.26 % (1965614)------------------------------
% 13.78/2.26 % (1965614)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 13.78/2.26 % (1965614)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 13.78/2.26 % (1965614)CaDiCaL version: 2.1.3
% 13.78/2.26 % (1965614)Termination reason: Instruction limit
% 13.78/2.26 % (1965614)Termination phase: Saturation
% 13.78/2.26 % (1965614)Time elapsed: 0.312 s
% 13.78/2.26 % (1965614)Peak memory usage: 17 MB
% 13.78/2.26 % (1965614)Instructions burned: 692 (million)
% 13.78/2.26 % (1965733)fmb+10_1_sil=16000:sas=cadical:bce=on:fmbss=77:random_seed=1302182534:i=6324_2994 on theBenchmark for (2994ds/6324Mi)
% 13.78/2.26 % Exception at run slice level
% 13.78/2.26 User error: Finite model building is currently not compatible with polymorphism or higher-order constructs
% 13.78/2.26 % (1965735)fmb+10_1_fmbas=function:sil=32000:sas=cadical:fmbss=16:random_seed=1388939069:fmbsr=2.30978:i=2174_2994 on theBenchmark for (2994ds/2174Mi)
% 13.78/2.26 % Exception at run slice level
% 13.78/2.26 User error: Finite model building is currently not compatible with polymorphism or higher-order constructs
% 13.78/2.26 % (1965737)ott-2_1_sil=16000:newcnf=on:random_seed=4253157994:avsq=on:i=869:avsqr=1,16:kws=inv_arity_squared_2993 on theBenchmark for (2993ds/869Mi)
% 13.78/2.26 % (1965615)Instruction limit reached!
% 13.78/2.26 % (1965615)------------------------------
% 13.78/2.26 % (1965615)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 13.78/2.26 % (1965615)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 13.78/2.26 % (1965615)CaDiCaL version: 2.1.3
% 13.78/2.26 % (1965615)Termination reason: Instruction limit
% 13.78/2.26 % (1965615)Termination phase: Saturation
% 13.78/2.26 % (1965615)Time elapsed: 0.407 s
% 13.78/2.26 % (1965615)Peak memory usage: 18 MB
% 13.78/2.26 % (1965615)Instructions burned: 880 (million)
% 13.78/2.26 % (1965737)WARNING: Not using 'newcnf' as currently not compatible with higher-order inputs.
% 13.78/2.26 % (1965739)ott+10_1_sil=32000:tgt=ground:random_seed=3335965832:i=5114:av=off_2993 on theBenchmark for (2993ds/5114Mi)
% 13.78/2.26 % (1965610)Instruction limit reached!
% 13.78/2.26 % (1965610)------------------------------
% 13.78/2.26 % (1965610)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 13.78/2.26 % (1965610)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 13.78/2.26 % (1965610)CaDiCaL version: 2.1.3
% 13.78/2.26 % (1965610)Termination reason: Instruction limit
% 13.78/2.26 % (1965610)Termination phase: Saturation
% 13.78/2.26 % (1965610)Time elapsed: 0.530 s
% 13.78/2.26 % (1965610)Peak memory usage: 17 MB
% 13.78/2.26 % (1965610)Instructions burned: 1179 (million)
% 13.78/2.26 % (1965770)fmb+10_1_sil=64000:sas=cadical:bce=on:rp=on:random_seed=1853882803:i=54282_2992 on theBenchmark for (2992ds/54282Mi)
% 13.78/2.26 % Exception at run slice level
% 13.78/2.26 User error: Finite model building is currently not compatible with polymorphism or higher-order constructs
% 13.78/2.26 % (1965788)dis-11_1_sil=16000:sp=reverse_frequency:alpa=true:random_seed=3095627859:i=3512:aac=none_2992 on theBenchmark for (2992ds/3512Mi)
% 13.78/2.26 % (1965788)WARNING: Look ahead literal selection is not currently compatible with higher-order. Ignoring request to use
% 13.78/2.26 % (1965679)Instruction limit reached!
% 13.78/2.26 % (1965679)------------------------------
% 13.78/2.26 % (1965679)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 13.78/2.26 % (1965679)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 13.78/2.26 % (1965679)CaDiCaL version: 2.1.3
% 13.78/2.26 % (1965679)Termination reason: Instruction limit
% 13.78/2.26 % (1965679)Termination phase: Saturation
% 13.78/2.26 % (1965679)Time elapsed: 0.412 s
% 13.78/2.26 % (1965679)Peak memory usage: 18 MB
% 13.78/2.26 % (1965679)Instructions burned: 1476 (million)
% 13.78/2.26 % (1965792)dis+21_1_sil=32000:sas=cadical:random_seed=3411689383:i=3773:amm=off_2992 on theBenchmark for (2992ds/3773Mi)
% 13.78/2.26 % (1965737)Instruction limit reached!
% 13.78/2.26 % (1965737)------------------------------
% 13.78/2.26 % (1965737)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 13.78/2.26 % (1965737)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 13.78/2.26 % (1965737)CaDiCaL version: 2.1.3
% 13.78/2.26 % (1965737)Termination reason: Instruction limit
% 13.78/2.26 % (1965737)Termination phase: Saturation
% 13.78/2.26 % (1965737)Time elapsed: 0.386 s
% 13.78/2.26 % (1965737)Peak memory usage: 16 MB
% 13.78/2.26 % (1965737)Instructions burned: 869 (million)
% 13.78/2.26 % (1965794)ott+11_1_sil=16000:gs=on:random_seed=1181102248:s2a=on:i=2251:s2at=3:kws=inv_arity_squared:nm=2:fsr=off:fsd=on_2989 on theBenchmark for (2989ds/2251Mi)
% 13.78/2.26 % (1965794)WARNING: Look ahead literal selection is not currently compatible with higher-order. Ignoring request to use
% 13.78/2.26 % (1965792)Instruction limit reached!
% 13.78/2.26 % (1965792)------------------------------
% 13.78/2.26 % (1965792)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 13.78/2.26 % (1965792)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 13.78/2.26 % (1965792)CaDiCaL version: 2.1.3
% 13.78/2.26 % (1965792)Termination reason: Instruction limit
% 13.78/2.26 % (1965792)Termination phase: Saturation
% 13.78/2.26 % (1965792)Time elapsed: 0.866 s
% 13.78/2.26 % (1965792)Peak memory usage: 23 MB
% 13.78/2.26 % (1965792)Instructions burned: 3776 (million)
% 13.78/2.26 % (1965796)fmb+10_1_fmbas=predicate:sil=64000:tgt=ground:fmbss=7:random_seed=3220483100:fmbsr=1.6:i=67534_2983 on theBenchmark for (2983ds/67534Mi)
% 13.78/2.26 % Exception at run slice level
% 13.78/2.26 User error: Finite model building is currently not compatible with polymorphism or higher-order constructs
% 13.78/2.26 % (1965798)ott-22_32_sil=16000:tgt=full:fdtod=off:sp=weighted_frequency:rnwc=on:alpa=false:random_seed=4180939992:avsq=on:i=4591:add=off:avsqr=1,16:kws=inv_arity:nm=10:ins=9:fdi=4_2983 on theBenchmark for (2983ds/4591Mi)
% 13.78/2.26 % (1965739) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-1965572-1965739"...
% 13.78/2.26 % (1965739)...printing done.
% 13.78/2.26 % (1965739)Refutation found. Thanks to Tanya!
% 13.78/2.26 % SZS status Theorem for theBenchmark
% 13.78/2.26 % SZS output start Proof for theBenchmark
% See solution above
% 13.78/2.26 % (1965739)------------------------------
% 13.78/2.26 % (1965739)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 13.78/2.26 % (1965739)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 13.78/2.26 % (1965739)CaDiCaL version: 2.1.3
% 13.78/2.26 % (1965739)Termination reason: Refutation
% 13.78/2.26 % (1965739)Time elapsed: 1.326 s
% 13.78/2.26 % (1965739)Peak memory usage: 25 MB
% 13.78/2.26 % (1965739)Instructions burned: 3034 (million)
% 13.78/2.26 % (1965572)Success in time 1.981 s
% 13.78/2.26 % Vampire exiting
%------------------------------------------------------------------------------