%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : AGT030^1 : TPTP v9.3.1. Released v5.2.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 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 07:44:37 AM UTC 2026
% Result : Theorem 3.56s 0.84s
% Output : Refutation 3.56s
% Verified :
% SZS Type : Refutation
% Derivation depth : 38
% Number of leaves : 17
% Syntax : Number of formulae : 158 ( 78 unt; 0 typ; 3 def)
% Number of atoms : 955 ( 222 equ; 0 cnn)
% Maximal formula atoms : 9 ( 6 avg)
% Number of connectives : 1565 ( 213 ~; 203 |; 0 &;1053 @)
% ( 2 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 8 ( 3 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of types : 3 ( 1 usr)
% Number of type conns : 244 ( 244 >; 0 *; 0 +; 0 <<)
% Number of symbols : 136 ( 132 usr; 11 con; 0-4 aty)
% ( 94 !!; 0 ??; 0 @@+; 0 @@-)
% Number of variables : 488 ( 0 sgn 153 !; 0 ?; 488 :)
% 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,
vOR: $o > $o > $o ).
thf(func_def_52,type,
db1:
!>[X0: $tType] : X0 ).
thf(func_def_53,type,
db2:
!>[X0: $tType] : X0 ).
thf(func_def_54,type,
vPI:
!>[X0: $tType] : ( ( X0 > $o ) > $o ) ).
thf(func_def_55,type,
vNOT: $o > $o ).
thf(func_def_56,type,
db3:
!>[X0: $tType] : X0 ).
thf(func_def_57,type,
vIMP: $o > $o > $o ).
thf(func_def_58,type,
vSIGMA:
!>[X0: $tType] : ( ( X0 > $o ) > $o ) ).
thf(func_def_59,type,
vAND: $o > $o > $o ).
thf(func_def_60,type,
vEQ:
!>[X0: $tType] : ( X0 > X0 > $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 > $o ) > $i > $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 > mu > $i ).
thf(func_def_70,type,
sK8: $i > mu > $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 > mu > $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 > mu > $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 > mu > $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 > mu > $i ).
thf(func_def_88,type,
sK26: $i > ( $i > $o ) > $i ).
thf(func_def_89,type,
sK27: $i > mu > $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 > mu > $i ).
thf(func_def_93,type,
sK31: $i > mu > $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 > mu > $i ).
thf(func_def_98,type,
sK36: $i > mu ).
thf(func_def_99,type,
sK37: $i > $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 > mu > $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 > mu > $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 > ( $i > $o ) > $i ).
thf(func_def_115,type,
sK53: $i > ( $i > $o ) > $i ).
thf(func_def_116,type,
sK54: $i > ( $i > $o ) > $i ).
thf(func_def_117,type,
sK55: $i > ( $i > $o ) > $i ).
thf(func_def_118,type,
sK56: $i > ( $i > $o ) > $i ).
thf(func_def_119,type,
sK57: $i > ( $i > $o ) > $i ).
thf(func_def_120,type,
sK58: $i > ( $i > $o ) > $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 > ( $i > $o ) > $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 > ( $i > $o ) > $i ).
thf(func_def_128,type,
sK66: $i > ( $i > $o ) > $i ).
thf(func_def_129,type,
sK67: $i > mu > $i ).
thf(func_def_130,type,
sK68: $i > ( $i > $o ) > $i ).
thf(func_def_131,type,
sK69: $i > mu > $i ).
thf(f3,axiom,
( ( ^ [X0: $i > $o,X1: $i] :
~ ( X0 @ X1 ) )
= mnot ),
file('/export/starexec/sandbox/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/sandbox/benchmark/Axioms/LCL013^0.ax',mor) ).
thf(f6,axiom,
( ( ^ [X0: $i > $o,X1: $i > $o] : ( mor @ ( mnot @ X0 ) @ X1 ) )
= mimplies ),
file('/export/starexec/sandbox/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/sandbox/benchmark/Axioms/LCL013^0.ax',mforall_ind) ).
thf(f11,axiom,
( ( ^ [X0: ( $i > $o ) > $i > $o,X1: $i] :
! [X2: $i > $o] : ( X0 @ X2 @ X1 ) )
= mforall_prop ),
file('/export/starexec/sandbox/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/sandbox/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/sandbox/benchmark/Axioms/LCL013^0.ax',mbox) ).
thf(f17,axiom,
( mdia
= ( ^ [X0: $i > $i > $o,X1: $i > $o] : ( mnot @ ( mbox @ X0 @ ( mnot @ X1 ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/Axioms/LCL013^0.ax',mdia) ).
thf(f28,axiom,
( ( ^ [X0: $i > $o] :
! [X1: $i] : ( X0 @ X1 ) )
= mvalid ),
file('/export/starexec/sandbox/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/sandbox/benchmark/theBenchmark.p',axiom_r1) ).
thf(f49,axiom,
mvalid @ ( maths_teacher @ john ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_a6) ).
thf(f53,axiom,
( mvalid
@ ( mforall_prop
@ ^ [X0: $i > $o] : ( mimplies @ ( mbox @ r1 @ X0 ) @ ( mnot @ ( mbox @ r1 @ ( mnot @ X0 ) ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_D_for_r1) ).
thf(f60,axiom,
( mvalid
@ ( mforall_prop
@ ^ [X0: $i > $o] : ( mimplies @ ( mbox @ r4 @ X0 ) @ ( mbox @ r1 @ X0 ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_I_for_r4_r1) ).
thf(f98,conjecture,
( mvalid
@ ( mexists_ind
@ ^ [X0: mu] : ( mdia @ r1 @ ( good_in_maths @ X0 ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',conj) ).
thf(f99,negated_conjecture,
~ ( mvalid
@ ( mexists_ind
@ ^ [X0: mu] : ( mdia @ r1 @ ( good_in_maths @ X0 ) ) ) ),
inference(negated_conjecture,[status(cth)],[f98]) ).
thf(f102,plain,
( ( ^ [X0: $i > $o,X1: $i > $o,X2: $i] :
( ( X0 @ X2 )
| ( X1 @ X2 ) ) )
= mor ),
inference(rectify,[],[f4]) ).
thf(f103,plain,
( mor
= ( ^ [Y0: $i > $o,Y1: $i > $o,Y2: $i] :
( ( Y1 @ Y2 )
| ( Y0 @ Y2 ) ) ) ),
inference(fool_elimination,[],[f102]) ).
thf(f112,plain,
( mimplies
= ( ^ [Y0: $i > $o,Y1: $i > $o] : ( mor @ ( mnot @ Y0 ) @ Y1 ) ) ),
inference(fool_elimination,[],[f6]) ).
thf(f115,plain,
( mbox
= ( ^ [X0: $i > $i > $o,X1: $i > $o,X2: $i] :
! [X3: $i] :
( ( X1 @ X3 )
| ~ ( X0 @ X2 @ X3 ) ) ) ),
inference(rectify,[],[f16]) ).
thf(f116,plain,
( mbox
= ( ^ [Y0: $i > $i > $o,Y1: $i > $o,Y2: $i] :
( !! @ $i
@ ^ [Y3: $i] :
( ~ ( Y0 @ Y2 @ Y3 )
| ( Y1 @ Y3 ) ) ) ) ),
inference(fool_elimination,[],[f115]) ).
thf(f149,plain,
( mvalid
@ ( mforall_ind
@ ^ [X0: mu] : ( mimplies @ ( maths_teacher @ X0 ) @ ( mbox @ r4 @ ( good_in_maths @ X0 ) ) ) ) ),
inference(rectify,[],[f32]) ).
thf(f150,plain,
( $true
= ( mvalid
@ ( mforall_ind
@ ^ [Y0: mu] : ( mimplies @ ( maths_teacher @ Y0 ) @ ( mbox @ r4 @ ( good_in_maths @ Y0 ) ) ) ) ) ),
inference(fool_elimination,[],[f149]) ).
thf(f181,plain,
( mvalid
@ ( mforall_prop
@ ^ [X0: $i > $o] : ( mimplies @ ( mbox @ r1 @ X0 ) @ ( mnot @ ( mbox @ r1 @ ( mnot @ X0 ) ) ) ) ) ),
inference(rectify,[],[f53]) ).
thf(f182,plain,
( $true
= ( mvalid
@ ( mforall_prop
@ ^ [Y0: $i > $o] : ( mimplies @ ( mbox @ r1 @ Y0 ) @ ( mnot @ ( mbox @ r1 @ ( mnot @ Y0 ) ) ) ) ) ) ),
inference(fool_elimination,[],[f181]) ).
thf(f191,plain,
( ( ^ [X0: ( $i > $o ) > $i > $o,X1: $i] :
! [X2: $i > $o] : ( X0 @ X2 @ X1 ) )
= mforall_prop ),
inference(rectify,[],[f11]) ).
thf(f192,plain,
( mforall_prop
= ( ^ [Y0: ( $i > $o ) > $i > $o,Y1: $i] :
( !! @ ( $i > $o )
@ ^ [Y2: $i > $o] : ( Y0 @ Y2 @ Y1 ) ) ) ),
inference(fool_elimination,[],[f191]) ).
thf(f201,plain,
( ( ^ [X0: $i > $o,X1: $i] :
~ ( X0 @ X1 ) )
= mnot ),
inference(rectify,[],[f3]) ).
thf(f202,plain,
( mnot
= ( ^ [Y0: $i > $o,Y1: $i] :
~ ( Y0 @ Y1 ) ) ),
inference(fool_elimination,[],[f201]) ).
thf(f203,plain,
( mvalid
@ ( mforall_prop
@ ^ [X0: $i > $o] : ( mimplies @ ( mbox @ r4 @ X0 ) @ ( mbox @ r1 @ X0 ) ) ) ),
inference(rectify,[],[f60]) ).
thf(f204,plain,
( $true
= ( mvalid
@ ( mforall_prop
@ ^ [Y0: $i > $o] : ( mimplies @ ( mbox @ r4 @ Y0 ) @ ( mbox @ r1 @ Y0 ) ) ) ) ),
inference(fool_elimination,[],[f203]) ).
thf(f217,plain,
( mdia
= ( ^ [Y0: $i > $i > $o,Y1: $i > $o] : ( mnot @ ( mbox @ Y0 @ ( mnot @ Y1 ) ) ) ) ),
inference(fool_elimination,[],[f17]) ).
thf(f244,plain,
( ( ^ [X0: mu > $i > $o,X1: $i] :
! [X2: mu] : ( X0 @ X2 @ X1 ) )
= mforall_ind ),
inference(rectify,[],[f10]) ).
thf(f245,plain,
( mforall_ind
= ( ^ [Y0: mu > $i > $o,Y1: $i] :
( !! @ mu
@ ^ [Y2: mu] : ( Y0 @ Y2 @ Y1 ) ) ) ),
inference(fool_elimination,[],[f244]) ).
thf(f251,plain,
~ ( mvalid
@ ( mexists_ind
@ ^ [X0: mu] : ( mdia @ r1 @ ( good_in_maths @ X0 ) ) ) ),
inference(rectify,[],[f99]) ).
thf(f252,plain,
( $true
!= ( mvalid
@ ( mexists_ind
@ ^ [Y0: mu] : ( mdia @ r1 @ ( good_in_maths @ Y0 ) ) ) ) ),
inference(fool_elimination,[],[f251]) ).
thf(f257,plain,
( mexists_ind
= ( ^ [X0: mu > $i > $o] :
( mnot
@ ( mforall_ind
@ ^ [X1: mu] : ( mnot @ ( X0 @ X1 ) ) ) ) ) ),
inference(rectify,[],[f12]) ).
thf(f258,plain,
( mexists_ind
= ( ^ [Y0: mu > $i > $o] :
( mnot
@ ( mforall_ind
@ ^ [Y1: mu] : ( mnot @ ( Y0 @ Y1 ) ) ) ) ) ),
inference(fool_elimination,[],[f257]) ).
thf(f265,plain,
( ( ^ [X0: $i > $o] :
! [X1: $i] : ( X0 @ X1 ) )
= mvalid ),
inference(rectify,[],[f28]) ).
thf(f266,plain,
( mvalid
= ( ^ [Y0: $i > $o] :
( !! @ $i
@ ^ [Y1: $i] : ( Y0 @ Y1 ) ) ) ),
inference(fool_elimination,[],[f265]) ).
thf(f275,plain,
mvalid @ ( maths_teacher @ john ),
inference(rectify,[],[f49]) ).
thf(f276,plain,
( ( mvalid @ ( maths_teacher @ john ) )
= $true ),
inference(fool_elimination,[],[f275]) ).
thf(f285,plain,
( $true
!= ( mvalid
@ ( mexists_ind
@ ^ [Y0: mu] : ( mdia @ r1 @ ( good_in_maths @ Y0 ) ) ) ) ),
inference(flattening,[],[f252]) ).
thf(f288,plain,
( $true
= ( mvalid
@ ( mforall_prop
@ ^ [Y0: $i > $o] : ( mimplies @ ( mbox @ r1 @ Y0 ) @ ( mnot @ ( mbox @ r1 @ ( mnot @ Y0 ) ) ) ) ) ) ),
inference(cnf_transformation,[],[f182]) ).
thf(f297,plain,
( mbox
= ( ^ [Y0: $i > $i > $o,Y1: $i > $o,Y2: $i] :
( !! @ $i
@ ^ [Y3: $i] :
( ~ ( Y0 @ Y2 @ Y3 )
| ( Y1 @ Y3 ) ) ) ) ),
inference(cnf_transformation,[],[f116]) ).
thf(f301,plain,
( mforall_prop
= ( ^ [Y0: ( $i > $o ) > $i > $o,Y1: $i] :
( !! @ ( $i > $o )
@ ^ [Y2: $i > $o] : ( Y0 @ Y2 @ Y1 ) ) ) ),
inference(cnf_transformation,[],[f192]) ).
thf(f310,plain,
( mimplies
= ( ^ [Y0: $i > $o,Y1: $i > $o] : ( mor @ ( mnot @ Y0 ) @ Y1 ) ) ),
inference(cnf_transformation,[],[f112]) ).
thf(f311,plain,
( ( mvalid @ ( maths_teacher @ john ) )
= $true ),
inference(cnf_transformation,[],[f276]) ).
thf(f317,plain,
( mor
= ( ^ [Y0: $i > $o,Y1: $i > $o,Y2: $i] :
( ( Y1 @ Y2 )
| ( Y0 @ Y2 ) ) ) ),
inference(cnf_transformation,[],[f103]) ).
thf(f326,plain,
( mforall_ind
= ( ^ [Y0: mu > $i > $o,Y1: $i] :
( !! @ mu
@ ^ [Y2: mu] : ( Y0 @ Y2 @ Y1 ) ) ) ),
inference(cnf_transformation,[],[f245]) ).
thf(f333,plain,
( mnot
= ( ^ [Y0: $i > $o,Y1: $i] :
~ ( Y0 @ Y1 ) ) ),
inference(cnf_transformation,[],[f202]) ).
thf(f340,plain,
( $true
= ( mvalid
@ ( mforall_prop
@ ^ [Y0: $i > $o] : ( mimplies @ ( mbox @ r4 @ Y0 ) @ ( mbox @ r1 @ Y0 ) ) ) ) ),
inference(cnf_transformation,[],[f204]) ).
thf(f347,plain,
( mvalid
= ( ^ [Y0: $i > $o] :
( !! @ $i
@ ^ [Y1: $i] : ( Y0 @ Y1 ) ) ) ),
inference(cnf_transformation,[],[f266]) ).
thf(f349,plain,
( $true
!= ( mvalid
@ ( mexists_ind
@ ^ [Y0: mu] : ( mdia @ r1 @ ( good_in_maths @ Y0 ) ) ) ) ),
inference(cnf_transformation,[],[f285]) ).
thf(f363,plain,
( $true
= ( mvalid
@ ( mforall_ind
@ ^ [Y0: mu] : ( mimplies @ ( maths_teacher @ Y0 ) @ ( mbox @ r4 @ ( good_in_maths @ Y0 ) ) ) ) ) ),
inference(cnf_transformation,[],[f150]) ).
thf(f364,plain,
( mdia
= ( ^ [Y0: $i > $i > $o,Y1: $i > $o] : ( mnot @ ( mbox @ Y0 @ ( mnot @ Y1 ) ) ) ) ),
inference(cnf_transformation,[],[f217]) ).
thf(f369,plain,
( mexists_ind
= ( ^ [Y0: mu > $i > $o] :
( mnot
@ ( mforall_ind
@ ^ [Y1: mu] : ( mnot @ ( Y0 @ Y1 ) ) ) ) ) ),
inference(cnf_transformation,[],[f258]) ).
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,[],[f310,f317,f333]) ).
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,[],[f369,f333,f326,f333]) ).
thf(f394,plain,
( mdia
= ( ^ [Y0: $i > $i > $o,Y1: $i > $o] :
( ^ [Y2: $i > $o,Y3: $i] :
~ ( Y2 @ Y3 )
@ ( ^ [Y2: $i > $i > $o,Y3: $i > $o,Y4: $i] :
( !! @ $i
@ ^ [Y5: $i] :
( ~ ( Y2 @ Y4 @ Y5 )
| ( Y3 @ Y5 ) ) )
@ Y0
@ ( ^ [Y2: $i > $o,Y3: $i] :
~ ( Y2 @ Y3 )
@ Y1 ) ) ) ) ),
inference(definition_unfolding,[],[f364,f333,f297,f333]) ).
thf(f396,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] :
( ( Y4 @ Y5 )
| ( Y3 @ 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 ) ) )
@ r1
@ Y0 )
@ ( ^ [Y1: $i > $o,Y2: $i] :
~ ( Y1 @ Y2 )
@ ( ^ [Y1: $i > $i > $o,Y2: $i > $o,Y3: $i] :
( !! @ $i
@ ^ [Y4: $i] :
( ~ ( Y1 @ Y3 @ Y4 )
| ( Y2 @ Y4 ) ) )
@ r1
@ ( ^ [Y1: $i > $o,Y2: $i] :
~ ( Y1 @ Y2 )
@ Y0 ) ) ) ) ) ) ),
inference(definition_unfolding,[],[f288,f347,f301,f387,f297,f333,f297,f333]) ).
thf(f409,plain,
( $true
= ( ^ [Y0: $i > $o] :
( !! @ $i
@ ^ [Y1: $i] : ( Y0 @ Y1 ) )
@ ( maths_teacher @ john ) ) ),
inference(definition_unfolding,[],[f311,f347]) ).
thf(f429,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] :
( ( Y4 @ Y5 )
| ( Y3 @ 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 ) ) )
@ r1
@ Y0 ) ) ) ) ),
inference(definition_unfolding,[],[f340,f347,f301,f387,f297,f297]) ).
thf(f436,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 > $o,Y4: $i] :
~ ( Y3 @ Y4 )
@ ( ^ [Y3: $i > $i > $o,Y4: $i > $o,Y5: $i] :
( !! @ $i
@ ^ [Y6: $i] :
( ~ ( Y3 @ Y5 @ Y6 )
| ( Y4 @ Y6 ) ) )
@ Y1
@ ( ^ [Y3: $i > $o,Y4: $i] :
~ ( Y3 @ Y4 )
@ Y2 ) ) )
@ r1
@ ( good_in_maths @ Y0 ) ) ) ) ),
inference(definition_unfolding,[],[f349,f347,f391,f394]) ).
thf(f447,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] :
( ~ ( Y1 @ Y3 @ Y4 )
| ( Y2 @ Y4 ) ) )
@ r4
@ ( good_in_maths @ Y0 ) ) ) ) ) ),
inference(definition_unfolding,[],[f363,f347,f326,f387,f297]) ).
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 > $o,Y4: $i] :
~ ( Y3 @ Y4 )
@ ( ^ [Y3: $i > $i > $o,Y4: $i > $o,Y5: $i] :
( !! @ $i
@ ^ [Y6: $i] :
( ~ ( Y3 @ Y5 @ Y6 )
| ( Y4 @ Y6 ) ) )
@ Y1
@ ( ^ [Y3: $i > $o,Y4: $i] :
~ ( Y3 @ Y4 )
@ Y2 ) ) )
@ r1
@ ( good_in_maths @ Y0 ) ) ) ) ),
introduced(definition,[new_symbols(definition,[sF0])],[function_definition]) ).
thf(f463,plain,
$true != sF0,
inference(definition_folding,[],[f436,f462]) ).
thf(f831,plain,
( $true
= ( !! @ $i
@ ^ [Y0: $i] :
( !! @ mu
@ ^ [Y1: mu] :
( ( !! @ $i
@ ^ [Y2: $i] :
( ~ ( r4 @ Y0 @ Y2 )
| ( good_in_maths @ Y1 @ Y2 ) ) )
| ~ ( maths_teacher @ Y1 @ Y0 ) ) ) ) ),
inference(beta-eta_normalization,[],[f447]) ).
thf(f832,plain,
! [X1: $i] :
( $true
= ( ^ [Y0: $i] :
( !! @ mu
@ ^ [Y1: mu] :
( ( !! @ $i
@ ^ [Y2: $i] :
( ~ ( r4 @ Y0 @ Y2 )
| ( good_in_maths @ Y1 @ Y2 ) ) )
| ~ ( maths_teacher @ Y1 @ Y0 ) ) )
@ X1 ) ),
inference(pi_proxy_clausification,[],[f831]) ).
thf(f833,plain,
! [X1: $i] :
( $true
= ( !! @ mu
@ ^ [Y0: mu] :
( ( !! @ $i
@ ^ [Y1: $i] :
( ~ ( r4 @ X1 @ Y1 )
| ( good_in_maths @ Y0 @ Y1 ) ) )
| ~ ( maths_teacher @ Y0 @ X1 ) ) ) ),
inference(beta-eta_normalization,[],[f832]) ).
thf(f834,plain,
! [X2: mu,X1: $i] :
( $true
= ( ^ [Y0: mu] :
( ( !! @ $i
@ ^ [Y1: $i] :
( ~ ( r4 @ X1 @ Y1 )
| ( good_in_maths @ Y0 @ Y1 ) ) )
| ~ ( maths_teacher @ Y0 @ X1 ) )
@ X2 ) ),
inference(pi_proxy_clausification,[],[f833]) ).
thf(f835,plain,
! [X2: mu,X1: $i] :
( $true
= ( ( !! @ $i
@ ^ [Y0: $i] :
( ~ ( r4 @ X1 @ Y0 )
| ( good_in_maths @ X2 @ Y0 ) ) )
| ~ ( maths_teacher @ X2 @ X1 ) ) ),
inference(beta-eta_normalization,[],[f834]) ).
thf(f836,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,[],[f835]) ).
thf(f837,plain,
! [X2: mu,X3: $i,X1: $i] :
( ( $true
= ( ~ ( maths_teacher @ X2 @ X1 ) ) )
| ( $true
= ( ^ [Y0: $i] :
( ~ ( r4 @ X1 @ Y0 )
| ( good_in_maths @ X2 @ Y0 ) )
@ X3 ) ) ),
inference(pi_proxy_clausification,[],[f836]) ).
thf(f838,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,[],[f837]) ).
thf(f839,plain,
! [X2: mu,X3: $i,X1: $i] :
( ( $false
= ( maths_teacher @ X2 @ X1 ) )
| ( $true
= ( ~ ( r4 @ X1 @ X3 )
| ( good_in_maths @ X2 @ X3 ) ) ) ),
inference(beta-eta_normalization,[],[f838]) ).
thf(f840,plain,
! [X2: mu,X3: $i,X1: $i] :
( ( $true
= ( ~ ( r4 @ X1 @ X3 ) ) )
| ( $true
= ( good_in_maths @ X2 @ X3 ) )
| ( $false
= ( maths_teacher @ X2 @ X1 ) ) ),
inference(or_proxy_clausification,[],[f839]) ).
thf(f841,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,[],[f840]) ).
thf(f935,plain,
( $true
= ( !! @ $i
@ ^ [Y0: $i] :
( !! @ ( $i > $o )
@ ^ [Y1: $i > $o] :
( ( !! @ $i
@ ^ [Y2: $i] :
( ~ ( r1 @ Y0 @ Y2 )
| ( Y1 @ Y2 ) ) )
| ~ ( !! @ $i
@ ^ [Y2: $i] :
( ~ ( r4 @ Y0 @ Y2 )
| ( Y1 @ Y2 ) ) ) ) ) ) ),
inference(beta-eta_normalization,[],[f429]) ).
thf(f936,plain,
! [X1: $i] :
( $true
= ( ^ [Y0: $i] :
( !! @ ( $i > $o )
@ ^ [Y1: $i > $o] :
( ( !! @ $i
@ ^ [Y2: $i] :
( ~ ( r1 @ Y0 @ Y2 )
| ( Y1 @ Y2 ) ) )
| ~ ( !! @ $i
@ ^ [Y2: $i] :
( ~ ( r4 @ Y0 @ Y2 )
| ( Y1 @ Y2 ) ) ) ) )
@ X1 ) ),
inference(pi_proxy_clausification,[],[f935]) ).
thf(f937,plain,
! [X1: $i] :
( $true
= ( !! @ ( $i > $o )
@ ^ [Y0: $i > $o] :
( ( !! @ $i
@ ^ [Y1: $i] :
( ~ ( r1 @ X1 @ Y1 )
| ( Y0 @ Y1 ) ) )
| ~ ( !! @ $i
@ ^ [Y1: $i] :
( ~ ( r4 @ X1 @ Y1 )
| ( Y0 @ Y1 ) ) ) ) ) ),
inference(beta-eta_normalization,[],[f936]) ).
thf(f938,plain,
! [X2: $i > $o,X1: $i] :
( $true
= ( ^ [Y0: $i > $o] :
( ( !! @ $i
@ ^ [Y1: $i] :
( ~ ( r1 @ X1 @ Y1 )
| ( Y0 @ Y1 ) ) )
| ~ ( !! @ $i
@ ^ [Y1: $i] :
( ~ ( r4 @ X1 @ Y1 )
| ( Y0 @ Y1 ) ) ) )
@ X2 ) ),
inference(pi_proxy_clausification,[],[f937]) ).
thf(f939,plain,
! [X2: $i > $o,X1: $i] :
( ( ( !! @ $i
@ ^ [Y0: $i] :
( ~ ( r1 @ X1 @ Y0 )
| ( X2 @ Y0 ) ) )
| ~ ( !! @ $i
@ ^ [Y0: $i] :
( ~ ( r4 @ X1 @ Y0 )
| ( X2 @ Y0 ) ) ) )
= $true ),
inference(beta-eta_normalization,[],[f938]) ).
thf(f940,plain,
! [X2: $i > $o,X1: $i] :
( ( $true
= ( !! @ $i
@ ^ [Y0: $i] :
( ~ ( r1 @ X1 @ Y0 )
| ( X2 @ Y0 ) ) ) )
| ( $true
= ( ~ ( !! @ $i
@ ^ [Y0: $i] :
( ~ ( r4 @ X1 @ Y0 )
| ( X2 @ Y0 ) ) ) ) ) ),
inference(or_proxy_clausification,[],[f939]) ).
thf(f941,plain,
! [X2: $i > $o,X3: $i,X1: $i] :
( ( $true
= ( ~ ( !! @ $i
@ ^ [Y0: $i] :
( ~ ( r4 @ X1 @ Y0 )
| ( X2 @ Y0 ) ) ) ) )
| ( ( ^ [Y0: $i] :
( ~ ( r1 @ X1 @ Y0 )
| ( X2 @ Y0 ) )
@ X3 )
= $true ) ),
inference(pi_proxy_clausification,[],[f940]) ).
thf(f942,plain,
! [X2: $i > $o,X3: $i,X1: $i] :
( ( $false
= ( !! @ $i
@ ^ [Y0: $i] :
( ~ ( r4 @ X1 @ Y0 )
| ( X2 @ Y0 ) ) ) )
| ( ( ^ [Y0: $i] :
( ~ ( r1 @ X1 @ Y0 )
| ( X2 @ Y0 ) )
@ X3 )
= $true ) ),
inference(not_proxy_clausification,[],[f941]) ).
thf(f943,plain,
! [X2: $i > $o,X3: $i,X1: $i] :
( ( $false
= ( ^ [Y0: $i] :
( ~ ( r4 @ X1 @ Y0 )
| ( X2 @ Y0 ) )
@ ( sK24 @ X1 @ X2 ) ) )
| ( ( ^ [Y0: $i] :
( ~ ( r1 @ X1 @ Y0 )
| ( X2 @ Y0 ) )
@ X3 )
= $true ) ),
inference(sigma_proxy_clausification,[],[f942]) ).
thf(f944,plain,
! [X2: $i > $o,X3: $i,X1: $i] :
( ( $false
= ( ~ ( r4 @ X1 @ ( sK24 @ X1 @ X2 ) )
| ( X2 @ ( sK24 @ X1 @ X2 ) ) ) )
| ( $true
= ( ~ ( r1 @ X1 @ X3 )
| ( X2 @ X3 ) ) ) ),
inference(beta-eta_normalization,[],[f943]) ).
thf(f945,plain,
! [X2: $i > $o,X3: $i,X1: $i] :
( ( $true
= ( ~ ( r1 @ X1 @ X3 )
| ( X2 @ X3 ) ) )
| ( $false
= ( X2 @ ( sK24 @ X1 @ X2 ) ) ) ),
inference(or_proxy_clausification,[],[f944]) ).
thf(f946,plain,
! [X2: $i > $o,X3: $i,X1: $i] :
( ( $true
= ( ~ ( r1 @ X1 @ X3 )
| ( X2 @ X3 ) ) )
| ( $false
= ( ~ ( r4 @ X1 @ ( sK24 @ X1 @ X2 ) ) ) ) ),
inference(or_proxy_clausification,[],[f944]) ).
thf(f947,plain,
! [X2: $i > $o,X3: $i,X1: $i] :
( ( $true
= ( ~ ( r1 @ X1 @ X3 ) ) )
| ( $true
= ( X2 @ X3 ) )
| ( $false
= ( ~ ( r4 @ X1 @ ( sK24 @ X1 @ X2 ) ) ) ) ),
inference(or_proxy_clausification,[],[f946]) ).
thf(f948,plain,
! [X2: $i > $o,X3: $i,X1: $i] :
( ( $false
= ( r1 @ X1 @ X3 ) )
| ( $false
= ( ~ ( r4 @ X1 @ ( sK24 @ X1 @ X2 ) ) ) )
| ( $true
= ( X2 @ X3 ) ) ),
inference(not_proxy_clausification,[],[f947]) ).
thf(f949,plain,
! [X2: $i > $o,X3: $i,X1: $i] :
( ( $true
= ( r4 @ X1 @ ( sK24 @ X1 @ X2 ) ) )
| ( $false
= ( r1 @ X1 @ X3 ) )
| ( $true
= ( X2 @ X3 ) ) ),
inference(not_proxy_clausification,[],[f948]) ).
thf(f950,plain,
! [X2: $i > $o,X3: $i,X1: $i] :
( ( $true
= ( ~ ( r1 @ X1 @ X3 ) ) )
| ( $false
= ( X2 @ ( sK24 @ X1 @ X2 ) ) )
| ( $true
= ( X2 @ X3 ) ) ),
inference(or_proxy_clausification,[],[f945]) ).
thf(f951,plain,
! [X2: $i > $o,X3: $i,X1: $i] :
( ( $false
= ( X2 @ ( sK24 @ X1 @ X2 ) ) )
| ( $false
= ( r1 @ X1 @ X3 ) )
| ( $true
= ( X2 @ X3 ) ) ),
inference(not_proxy_clausification,[],[f950]) ).
thf(f1186,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 > $o,Y4: $i] :
~ ( Y3 @ Y4 )
@ ( ^ [Y3: $i > $i > $o,Y4: $i > $o,Y5: $i] :
( !! @ $i
@ ^ [Y6: $i] :
( ~ ( Y3 @ Y5 @ Y6 )
| ( Y4 @ Y6 ) ) )
@ Y1
@ ( ^ [Y3: $i > $o,Y4: $i] :
~ ( Y3 @ Y4 )
@ Y2 ) ) )
@ r1
@ ( good_in_maths @ Y0 ) ) ) ) ) ),
inference(iff_proxy_clausification,[],[f462]) ).
thf(f1202,plain,
( ( $true = sF0 )
| ( ( !! @ $i
@ ^ [Y0: $i] :
~ ( !! @ mu
@ ^ [Y1: mu] :
~ ~ ( !! @ $i
@ ^ [Y2: $i] :
( ~ ( r1 @ Y0 @ Y2 )
| ~ ( good_in_maths @ Y1 @ Y2 ) ) ) ) )
= $false ) ),
inference(beta-eta_normalization,[],[f1186]) ).
thf(f1203,plain,
( ( $false
= ( ^ [Y0: $i] :
~ ( !! @ mu
@ ^ [Y1: mu] :
~ ~ ( !! @ $i
@ ^ [Y2: $i] :
( ~ ( r1 @ Y0 @ Y2 )
| ~ ( good_in_maths @ Y1 @ Y2 ) ) ) )
@ sK38 ) )
| ( $true = sF0 ) ),
inference(sigma_proxy_clausification,[],[f1202]) ).
thf(f1204,plain,
( ( $true = sF0 )
| ( $false
= ( ~ ( !! @ mu
@ ^ [Y0: mu] :
~ ~ ( !! @ $i
@ ^ [Y1: $i] :
( ~ ( r1 @ sK38 @ Y1 )
| ~ ( good_in_maths @ Y0 @ Y1 ) ) ) ) ) ) ),
inference(beta-eta_normalization,[],[f1203]) ).
thf(f1205,plain,
( ( $true
= ( !! @ mu
@ ^ [Y0: mu] :
~ ~ ( !! @ $i
@ ^ [Y1: $i] :
( ~ ( r1 @ sK38 @ Y1 )
| ~ ( good_in_maths @ Y0 @ Y1 ) ) ) ) )
| ( $true = sF0 ) ),
inference(not_proxy_clausification,[],[f1204]) ).
thf(f1206,plain,
! [X1: mu] :
( ( $true
= ( ^ [Y0: mu] :
~ ~ ( !! @ $i
@ ^ [Y1: $i] :
( ~ ( r1 @ sK38 @ Y1 )
| ~ ( good_in_maths @ Y0 @ Y1 ) ) )
@ X1 ) )
| ( $true = sF0 ) ),
inference(pi_proxy_clausification,[],[f1205]) ).
thf(f1207,plain,
! [X1: mu] :
( ( $true
= ( ~ ~ ( !! @ $i
@ ^ [Y0: $i] :
( ~ ( r1 @ sK38 @ Y0 )
| ~ ( good_in_maths @ X1 @ Y0 ) ) ) ) )
| ( $true = sF0 ) ),
inference(beta-eta_normalization,[],[f1206]) ).
thf(f1208,plain,
! [X1: mu] :
( ( $true = sF0 )
| ( $false
= ( ~ ( !! @ $i
@ ^ [Y0: $i] :
( ~ ( r1 @ sK38 @ Y0 )
| ~ ( good_in_maths @ X1 @ Y0 ) ) ) ) ) ),
inference(not_proxy_clausification,[],[f1207]) ).
thf(f1209,plain,
! [X1: mu] :
( ( $true
= ( !! @ $i
@ ^ [Y0: $i] :
( ~ ( r1 @ sK38 @ Y0 )
| ~ ( good_in_maths @ X1 @ Y0 ) ) ) )
| ( $true = sF0 ) ),
inference(not_proxy_clausification,[],[f1208]) ).
thf(f1210,plain,
! [X2: $i,X1: mu] :
( ( $true
= ( ^ [Y0: $i] :
( ~ ( r1 @ sK38 @ Y0 )
| ~ ( good_in_maths @ X1 @ Y0 ) )
@ X2 ) )
| ( $true = sF0 ) ),
inference(pi_proxy_clausification,[],[f1209]) ).
thf(f1211,plain,
! [X2: $i,X1: mu] :
( ( $true
= ( ~ ( r1 @ sK38 @ X2 )
| ~ ( good_in_maths @ X1 @ X2 ) ) )
| ( $true = sF0 ) ),
inference(beta-eta_normalization,[],[f1210]) ).
thf(f1212,plain,
! [X2: $i,X1: mu] :
( ( $true
= ( ~ ( r1 @ sK38 @ X2 ) ) )
| ( $true = sF0 )
| ( $true
= ( ~ ( good_in_maths @ X1 @ X2 ) ) ) ),
inference(or_proxy_clausification,[],[f1211]) ).
thf(f1213,plain,
! [X2: $i,X1: mu] :
( ( $true = sF0 )
| ( $true
= ( ~ ( good_in_maths @ X1 @ X2 ) ) )
| ( $false
= ( r1 @ sK38 @ X2 ) ) ),
inference(not_proxy_clausification,[],[f1212]) ).
thf(f1214,plain,
! [X2: $i,X1: mu] :
( ( $true = sF0 )
| ( $false
= ( r1 @ sK38 @ X2 ) )
| ( $false
= ( good_in_maths @ X1 @ X2 ) ) ),
inference(not_proxy_clausification,[],[f1213]) ).
thf(f1215,plain,
( $true
= ( !! @ $i
@ ^ [Y0: $i] :
( !! @ ( $i > $o )
@ ^ [Y1: $i > $o] :
( ~ ( !! @ $i
@ ^ [Y2: $i] :
( ~ ( r1 @ Y0 @ Y2 )
| ~ ( Y1 @ Y2 ) ) )
| ~ ( !! @ $i
@ ^ [Y2: $i] :
( ~ ( r1 @ Y0 @ Y2 )
| ( Y1 @ Y2 ) ) ) ) ) ) ),
inference(beta-eta_normalization,[],[f396]) ).
thf(f1216,plain,
! [X1: $i] :
( $true
= ( ^ [Y0: $i] :
( !! @ ( $i > $o )
@ ^ [Y1: $i > $o] :
( ~ ( !! @ $i
@ ^ [Y2: $i] :
( ~ ( r1 @ Y0 @ Y2 )
| ~ ( Y1 @ Y2 ) ) )
| ~ ( !! @ $i
@ ^ [Y2: $i] :
( ~ ( r1 @ Y0 @ Y2 )
| ( Y1 @ Y2 ) ) ) ) )
@ X1 ) ),
inference(pi_proxy_clausification,[],[f1215]) ).
thf(f1217,plain,
! [X1: $i] :
( $true
= ( !! @ ( $i > $o )
@ ^ [Y0: $i > $o] :
( ~ ( !! @ $i
@ ^ [Y1: $i] :
( ~ ( r1 @ X1 @ Y1 )
| ~ ( Y0 @ Y1 ) ) )
| ~ ( !! @ $i
@ ^ [Y1: $i] :
( ~ ( r1 @ X1 @ Y1 )
| ( Y0 @ Y1 ) ) ) ) ) ),
inference(beta-eta_normalization,[],[f1216]) ).
thf(f1218,plain,
! [X2: $i > $o,X1: $i] :
( $true
= ( ^ [Y0: $i > $o] :
( ~ ( !! @ $i
@ ^ [Y1: $i] :
( ~ ( r1 @ X1 @ Y1 )
| ~ ( Y0 @ Y1 ) ) )
| ~ ( !! @ $i
@ ^ [Y1: $i] :
( ~ ( r1 @ X1 @ Y1 )
| ( Y0 @ Y1 ) ) ) )
@ X2 ) ),
inference(pi_proxy_clausification,[],[f1217]) ).
thf(f1219,plain,
! [X2: $i > $o,X1: $i] :
( $true
= ( ~ ( !! @ $i
@ ^ [Y0: $i] :
( ~ ( r1 @ X1 @ Y0 )
| ~ ( X2 @ Y0 ) ) )
| ~ ( !! @ $i
@ ^ [Y0: $i] :
( ~ ( r1 @ X1 @ Y0 )
| ( X2 @ Y0 ) ) ) ) ),
inference(beta-eta_normalization,[],[f1218]) ).
thf(f1220,plain,
! [X2: $i > $o,X1: $i] :
( ( $true
= ( ~ ( !! @ $i
@ ^ [Y0: $i] :
( ~ ( r1 @ X1 @ Y0 )
| ~ ( X2 @ Y0 ) ) ) ) )
| ( ( ~ ( !! @ $i
@ ^ [Y0: $i] :
( ~ ( r1 @ X1 @ Y0 )
| ( X2 @ Y0 ) ) ) )
= $true ) ),
inference(or_proxy_clausification,[],[f1219]) ).
thf(f1221,plain,
! [X2: $i > $o,X1: $i] :
( ( ( ~ ( !! @ $i
@ ^ [Y0: $i] :
( ~ ( r1 @ X1 @ Y0 )
| ( X2 @ Y0 ) ) ) )
= $true )
| ( $false
= ( !! @ $i
@ ^ [Y0: $i] :
( ~ ( r1 @ X1 @ Y0 )
| ~ ( X2 @ Y0 ) ) ) ) ),
inference(not_proxy_clausification,[],[f1220]) ).
thf(f1222,plain,
! [X2: $i > $o,X1: $i] :
( ( $false
= ( !! @ $i
@ ^ [Y0: $i] :
( ~ ( r1 @ X1 @ Y0 )
| ( X2 @ Y0 ) ) ) )
| ( $false
= ( !! @ $i
@ ^ [Y0: $i] :
( ~ ( r1 @ X1 @ Y0 )
| ~ ( X2 @ Y0 ) ) ) ) ),
inference(not_proxy_clausification,[],[f1221]) ).
thf(f1223,plain,
! [X2: $i > $o,X1: $i] :
( ( $false
= ( ^ [Y0: $i] :
( ~ ( r1 @ X1 @ Y0 )
| ( X2 @ Y0 ) )
@ ( sK39 @ X1 @ X2 ) ) )
| ( $false
= ( !! @ $i
@ ^ [Y0: $i] :
( ~ ( r1 @ X1 @ Y0 )
| ~ ( X2 @ Y0 ) ) ) ) ),
inference(sigma_proxy_clausification,[],[f1222]) ).
thf(f1224,plain,
! [X2: $i > $o,X1: $i] :
( ( $false
= ( ^ [Y0: $i] :
( ~ ( r1 @ X1 @ Y0 )
| ( X2 @ Y0 ) )
@ ( sK39 @ X1 @ X2 ) ) )
| ( $false
= ( ^ [Y0: $i] :
( ~ ( r1 @ X1 @ Y0 )
| ~ ( X2 @ Y0 ) )
@ ( sK40 @ X1 @ X2 ) ) ) ),
inference(sigma_proxy_clausification,[],[f1223]) ).
thf(f1225,plain,
! [X2: $i > $o,X1: $i] :
( ( $false
= ( ~ ( r1 @ X1 @ ( sK39 @ X1 @ X2 ) )
| ( X2 @ ( sK39 @ X1 @ X2 ) ) ) )
| ( $false
= ( ~ ( r1 @ X1 @ ( sK40 @ X1 @ X2 ) )
| ~ ( X2 @ ( sK40 @ X1 @ X2 ) ) ) ) ),
inference(beta-eta_normalization,[],[f1224]) ).
thf(f1226,plain,
! [X2: $i > $o,X1: $i] :
( ( $false
= ( X2 @ ( sK39 @ X1 @ X2 ) ) )
| ( $false
= ( ~ ( r1 @ X1 @ ( sK40 @ X1 @ X2 ) )
| ~ ( X2 @ ( sK40 @ X1 @ X2 ) ) ) ) ),
inference(or_proxy_clausification,[],[f1225]) ).
thf(f1227,plain,
! [X2: $i > $o,X1: $i] :
( ( $false
= ( ~ ( r1 @ X1 @ ( sK39 @ X1 @ X2 ) ) ) )
| ( $false
= ( ~ ( r1 @ X1 @ ( sK40 @ X1 @ X2 ) )
| ~ ( X2 @ ( sK40 @ X1 @ X2 ) ) ) ) ),
inference(or_proxy_clausification,[],[f1225]) ).
thf(f1228,plain,
! [X2: $i > $o,X1: $i] :
( ( $true
= ( r1 @ X1 @ ( sK39 @ X1 @ X2 ) ) )
| ( $false
= ( ~ ( r1 @ X1 @ ( sK40 @ X1 @ X2 ) )
| ~ ( X2 @ ( sK40 @ X1 @ X2 ) ) ) ) ),
inference(not_proxy_clausification,[],[f1227]) ).
thf(f1229,plain,
! [X2: $i > $o,X1: $i] :
( ( $false
= ( ~ ( X2 @ ( sK40 @ X1 @ X2 ) ) ) )
| ( $true
= ( r1 @ X1 @ ( sK39 @ X1 @ X2 ) ) ) ),
inference(or_proxy_clausification,[],[f1228]) ).
thf(f1232,plain,
! [X2: $i > $o,X1: $i] :
( ( $true
= ( r1 @ X1 @ ( sK39 @ X1 @ X2 ) ) )
| ( $true
= ( X2 @ ( sK40 @ X1 @ X2 ) ) ) ),
inference(not_proxy_clausification,[],[f1229]) ).
thf(f1234,plain,
! [X2: $i > $o,X1: $i] :
( ( $false
= ( X2 @ ( sK39 @ X1 @ X2 ) ) )
| ( $false
= ( ~ ( r1 @ X1 @ ( sK40 @ X1 @ X2 ) ) ) ) ),
inference(or_proxy_clausification,[],[f1226]) ).
thf(f1235,plain,
! [X2: $i > $o,X1: $i] :
( ( $true
= ( r1 @ X1 @ ( sK40 @ X1 @ X2 ) ) )
| ( $false
= ( X2 @ ( sK39 @ X1 @ X2 ) ) ) ),
inference(not_proxy_clausification,[],[f1234]) ).
thf(f1807,plain,
( $true
= ( !! @ $i @ ( maths_teacher @ john ) ) ),
inference(beta-eta_normalization,[],[f409]) ).
thf(f1808,plain,
! [X1: $i] :
( ( maths_teacher @ john @ X1 )
= $true ),
inference(pi_proxy_clausification,[],[f1807]) ).
thf(f1822,definition,
( spl70_4
<=> ( $true = sF0 ) ),
introduced(definition,[new_symbols(definition,[spl70_4])],[avatar_definition]) ).
thf(f1826,definition,
( spl70_5
<=> ! [X2: $i,X1: mu] :
( ( $false
= ( r1 @ sK38 @ X2 ) )
| ( $false
= ( good_in_maths @ X1 @ X2 ) ) ) ),
introduced(definition,[new_symbols(definition,[spl70_5])],[avatar_definition]) ).
thf(f1827,plain,
( ! [X2: $i,X1: mu] :
( ( $false
= ( good_in_maths @ X1 @ X2 ) )
| ( $false
= ( r1 @ sK38 @ X2 ) ) )
| ~ spl70_5 ),
inference(avatar_component_clause,[],[f1826]) ).
thf(f1828,plain,
( spl70_4
| spl70_5 ),
inference(avatar_split_clause,[],[f1214,f1826,f1822]) ).
thf(f1829,plain,
~ spl70_4,
inference(avatar_split_clause,[],[f463,f1822]) ).
thf(f1832,plain,
( ! [X2: $i,X0: mu,X1: $i] :
( ( $false = $true )
| ( $false
= ( r4 @ X2 @ X1 ) )
| ( $false
= ( maths_teacher @ X0 @ X2 ) )
| ( $false
= ( r1 @ sK38 @ X1 ) ) )
| ~ spl70_5 ),
inference(superposition,[],[f1827,f841]) ).
thf(f1833,plain,
( ! [X2: $i,X0: mu,X1: $i] :
( ( $false
= ( maths_teacher @ X0 @ X2 ) )
| ( $false
= ( r4 @ X2 @ X1 ) )
| ( $false
= ( r1 @ sK38 @ X1 ) ) )
| ~ spl70_5 ),
inference(trivial_inequality_removal,[],[f1832]) ).
thf(f1836,plain,
( ! [X0: $i,X1: $i] :
( ( $false
= ( r1 @ sK38 @ X1 ) )
| ( $false = $true )
| ( $false
= ( r4 @ X0 @ X1 ) ) )
| ~ spl70_5 ),
inference(superposition,[],[f1808,f1833]) ).
thf(f1837,plain,
( ! [X0: $i,X1: $i] :
( ( $false
= ( r4 @ X0 @ X1 ) )
| ( $false
= ( r1 @ sK38 @ X1 ) ) )
| ~ spl70_5 ),
inference(trivial_inequality_removal,[],[f1836]) ).
thf(f2122,plain,
! [X2: $i,X0: $i,X1: $i] :
( ( $false
= ( r1 @ X0 @ X1 ) )
| ( $false = $true )
| ( $false
= ( r1 @ X0 @ X2 ) )
| ( $true
= ( r4 @ X0 @ X1 ) )
| ( $true
= ( r4 @ X0 @ X2 ) ) ),
inference(superposition,[],[f951,f949]) ).
thf(f2125,plain,
! [X2: $i,X0: $i,X1: $i] :
( ( $true
= ( r4 @ X0 @ X2 ) )
| ( $true
= ( r4 @ X0 @ X1 ) )
| ( $false
= ( r1 @ X0 @ X2 ) )
| ( $false
= ( r1 @ X0 @ X1 ) ) ),
inference(trivial_inequality_removal,[],[f2122]) ).
thf(f2329,plain,
! [X0: $i,X1: $i] :
( ( $false
= ( r1 @ X0 @ X1 ) )
| ( $true != $true )
| ( $false
= ( r1 @ X0 @ X1 ) )
| ( $true
= ( r4 @ X0 @ X1 ) ) ),
inference(equality_factoring,[],[f2125]) ).
thf(f2338,plain,
! [X0: $i,X1: $i] :
( ( $false
= ( r1 @ X0 @ X1 ) )
| ( $true != $true )
| ( $true
= ( r4 @ X0 @ X1 ) ) ),
inference(duplicate_literal_removal,[],[f2329]) ).
thf(f2339,plain,
! [X0: $i,X1: $i] :
( ( $true
= ( r4 @ X0 @ X1 ) )
| ( $false
= ( r1 @ X0 @ X1 ) ) ),
inference(trivial_inequality_removal,[],[f2338]) ).
thf(f2358,plain,
( ! [X0: $i,X1: $i] :
( ( $false = $true )
| ( $false
= ( r1 @ sK38 @ X1 ) )
| ( $false
= ( r1 @ X0 @ X1 ) ) )
| ~ spl70_5 ),
inference(superposition,[],[f2339,f1837]) ).
thf(f2394,plain,
( ! [X0: $i,X1: $i] :
( ( $false
= ( r1 @ sK38 @ X1 ) )
| ( $false
= ( r1 @ X0 @ X1 ) ) )
| ~ spl70_5 ),
inference(trivial_inequality_removal,[],[f2358]) ).
thf(f2428,plain,
( ! [X0: $i] :
( ( $false
= ( r1 @ sK38 @ X0 ) )
| ( $false != $false ) )
| ~ spl70_5 ),
inference(equality_factoring,[],[f2394]) ).
thf(f2431,plain,
( ! [X0: $i] :
( $false
= ( r1 @ sK38 @ X0 ) )
| ~ spl70_5 ),
inference(trivial_inequality_removal,[],[f2428]) ).
thf(f2458,plain,
( ! [X0: $i > $o] :
( ( $false = $true )
| ( $false
= ( X0 @ ( sK39 @ sK38 @ X0 ) ) ) )
| ~ spl70_5 ),
inference(superposition,[],[f1235,f2431]) ).
thf(f2473,plain,
( ! [X0: $i > $o] :
( $false
= ( X0 @ ( sK39 @ sK38 @ X0 ) ) )
| ~ spl70_5 ),
inference(trivial_inequality_removal,[],[f2458]) ).
thf(f2489,plain,
( ( $false = $true )
| ( $true
= ( r1 @ sK38 @ ( sK40 @ sK38 @ ( r1 @ sK38 ) ) ) )
| ~ spl70_5 ),
inference(superposition,[],[f2473,f1232]) ).
thf(f2515,plain,
( ( $true
= ( r1 @ sK38 @ ( sK40 @ sK38 @ ( r1 @ sK38 ) ) ) )
| ~ spl70_5 ),
inference(trivial_inequality_removal,[],[f2489]) ).
thf(f2521,plain,
( ( $false = $true )
| ~ spl70_5 ),
inference(forward_demodulation,[],[f2515,f2431]) ).
thf(f2522,plain,
( $false
| ~ spl70_5 ),
inference(trivial_inequality_removal,[],[f2521]) ).
thf(f2523,plain,
~ spl70_5,
inference(avatar_contradiction_clause,[],[f2522]) ).
cnf(s3,plain,
( spl70_4
| spl70_5 ),
inference(sat_conversion,[],[f1828]) ).
cnf(s4,plain,
~ spl70_4,
inference(sat_conversion,[],[f1829]) ).
cnf(s12,plain,
~ spl70_5,
inference(sat_conversion,[],[f2523]) ).
cnf(s13,plain,
$false,
inference(rat,[],[s3,s12,s4]) ).
thf(f2524,plain,
$false,
inference(avatar_sat_refutation,[],[s13]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : AGT030^1 : TPTP v9.3.1. Released v5.2.0.
% 0.00/0.06 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.10/0.20 % Computer : n005.cluster.edu
% 0.10/0.20 % Model : x86_64 x86_64
% 0.10/0.20 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.20 % Memory : 8046.5625MB
% 0.10/0.20 % OS : Linux 6.8.0-71-generic
% 0.10/0.20 % CPULimit : 300
% 0.10/0.20 % WCLimit : 300
% 0.10/0.20 % DateTime : Tue Sep 29 17:29:24 UTC 2026
% 0.10/0.20 % CPUTime :
% 0.10/0.20 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.10/0.23 Running higher-order theorem proving
% 0.10/0.26 Running: /export/starexec/sandbox/solver/bin/vampire-ho --input_syntax tptp --output_axiom_names on --mode casc -m 16384 --cores 7 -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.62/0.39 % (1965314)Detected a higher-order problem, will run a greedy HOL sequence.
% 0.62/0.39 % (1965320)lrs+10_16_si=on:nwc=1.5:random_seed=3589393645:i=18:kws=arity_squared:rtra=on:fe=abstraction:ntd=on_2999 on theBenchmark for (2999ds/18Mi)
% 0.62/0.39 % (1965325)WARNING Broken Constraint: if ho_split_queue_ratios(1,8) has been set then ho_split_queue(off) is equal to on
% 0.62/0.39 % (1965325)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
% 0.62/0.39 % (1965320)Instruction limit reached!
% 0.62/0.39 % (1965320)------------------------------
% 0.62/0.39 % (1965320)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.62/0.39 % (1965320)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.62/0.39 % (1965319)lrs+10_40_drc=off:e2e=on:si=on:uwa=one_side_interpreted:random_seed=3791640761:s2a=on:i=87:rtra=on:ntd=on_2999 on theBenchmark for (2999ds/87Mi)
% 0.62/0.39 % (1965321)lrs+10_1_cnfonf=off:si=on:uwa=one_side_interpreted:random_seed=4191390965:i=3:rtra=on:inj=on:ntd=on_2999 on theBenchmark for (2999ds/3Mi)
% 0.62/0.39 % (1965322)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=620009546: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)
% 0.62/0.39 % (1965320)CaDiCaL version: 2.1.3
% 0.62/0.39 % (1965320)Termination reason: Instruction limit
% 0.62/0.39 % (1965320)Termination phase: Property scanning
% 0.62/0.39 % (1965320)Time elapsed: 0.007 s
% 0.62/0.39 % (1965320)Peak memory usage: 10 MB
% 0.62/0.39 % (1965320)Instructions burned: 30 (million)
% 0.62/0.39 % (1965323)dis+21_4_fde=none:e2e=on:si=on:uwa=off:foolp=on:random_seed=2427775568:i=24:av=off:rtra=on_2999 on theBenchmark for (2999ds/24Mi)
% 0.62/0.39 % (1965325)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=1650228913:hsqr=1,8:i=157:s2at=5:add=on:nm=2:rtra=on_2999 on theBenchmark for (2999ds/157Mi)
% 0.62/0.39 % (1965324)lrs+10_1_to=lpo:sil=128000:e2e=on:si=on:random_seed=945054720:s2a=on:i=75:s2at=3:aac=none:bd=preordered:rtra=on:fe=abstraction_2999 on theBenchmark for (2999ds/75Mi)
% 0.62/0.39 % (1965321)Instruction limit reached!
% 0.62/0.39 % (1965321)------------------------------
% 0.62/0.39 % (1965321)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.62/0.39 % (1965321)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.62/0.39 % (1965321)CaDiCaL version: 2.1.3
% 0.62/0.39 % (1965321)Termination reason: Instruction limit
% 0.62/0.39 % (1965321)Termination phase: shuffling
% 0.62/0.39 % (1965321)Time elapsed: 0.002 s
% 0.62/0.39 % (1965321)Peak memory usage: 10 MB
% 0.62/0.39 % (1965321)Instructions burned: 4 (million)
% 0.62/0.39 % (1965323)Instruction limit reached!
% 0.62/0.39 % (1965323)------------------------------
% 0.62/0.39 % (1965323)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.62/0.39 % (1965323)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.62/0.39 % (1965323)CaDiCaL version: 2.1.3
% 0.62/0.39 % (1965323)Termination reason: Instruction limit
% 0.62/0.39 % (1965323)Termination phase: Saturation
% 0.62/0.39 % (1965323)Time elapsed: 0.011 s
% 0.62/0.39 % (1965323)Peak memory usage: 12 MB
% 0.62/0.39 % (1965323)Instructions burned: 25 (million)
% 0.62/0.39 % (1965332)dis+10_1024_sil=128000:si=on:sp=unary_first:urr=on:uwa=all:fd=off:random_seed=549773402:i=2:hud=10:rtra=on_2999 on theBenchmark for (2999ds/2Mi)
% 0.62/0.39 % (1965332)Instruction limit reached!
% 0.62/0.39 % (1965332)------------------------------
% 0.62/0.39 % (1965332)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.62/0.39 % (1965332)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.62/0.39 % (1965332)CaDiCaL version: 2.1.3
% 0.62/0.39 % (1965332)Termination reason: Instruction limit
% 0.62/0.39 % (1965332)Termination phase: shuffling
% 0.62/0.39 % (1965332)Time elapsed: 0.001 s
% 0.62/0.39 % (1965332)Peak memory usage: 10 MB
% 0.62/0.39 % (1965332)Instructions burned: 3 (million)
% 0.62/0.39 % (1965334)lrs+1010_2:3_cha=on:si=on:uwa=off:nwc=1:random_seed=1599602962:i=5:fgj=on:av=off:rtra=on:fe=axiom:ntd=on_2999 on theBenchmark for (2999ds/5Mi)
% 0.62/0.42 % (1965337)lrs+10_1_sil=128000:si=on:urr=on:slsqc=1:slsq=on:random_seed=1713627275:i=12:s2at=2:kws=inv_frequency:bd=all:rtra=on_2999 on theBenchmark for (2999ds/12Mi)
% 0.62/0.42 % (1965334)Instruction limit reached!
% 0.62/0.42 % (1965334)------------------------------
% 0.62/0.42 % (1965334)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.62/0.42 % (1965334)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.62/0.42 % (1965334)CaDiCaL version: 2.1.3
% 0.62/0.42 % (1965334)Termination reason: Instruction limit
% 0.62/0.42 % (1965334)Termination phase: shuffling
% 0.62/0.42 % (1965334)Time elapsed: 0.003 s
% 0.62/0.42 % (1965334)Peak memory usage: 10 MB
% 0.62/0.42 % (1965334)Instructions burned: 7 (million)
% 0.62/0.42 % (1965335)WARNING Broken Constraint: if forward_subsumption_demodulation_max_matches(5) has been set then forward_subsumption_demodulation(off) is equal to on
% 0.62/0.42 % (1965337)Instruction limit reached!
% 0.62/0.42 % (1965337)------------------------------
% 0.62/0.42 % (1965337)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.62/0.42 % (1965337)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.62/0.42 % (1965337)CaDiCaL version: 2.1.3
% 0.62/0.42 % (1965337)Termination reason: Instruction limit
% 0.62/0.42 % (1965337)Termination phase: SInE selection
% 0.62/0.42 % (1965337)Time elapsed: 0.003 s
% 0.62/0.42 % (1965337)Peak memory usage: 10 MB
% 0.62/0.42 % (1965337)Instructions burned: 15 (million)
% 0.62/0.42 % (1965335)dis+21_1_to=kbo:sil=128000:plsq=on:plsqc=1:cnfonf=lazy_gen:si=on:plsqr=64,1:uwa=hol:random_seed=1431142747:uwa_fpi=on:i=7:fgj=on:hud=10:fsr=off:rtra=on:rawr=on:fsdmm=5_2999 on theBenchmark for (2999ds/7Mi)
% 0.62/0.42 % (1965324)Instruction limit reached!
% 0.62/0.42 % (1965324)------------------------------
% 0.62/0.42 % (1965324)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.62/0.42 % (1965324)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.62/0.42 % (1965324)CaDiCaL version: 2.1.3
% 0.62/0.42 % (1965324)Termination reason: Instruction limit
% 0.62/0.42 % (1965324)Termination phase: Saturation
% 0.62/0.42 % (1965324)Time elapsed: 0.033 s
% 0.62/0.42 % (1965324)Peak memory usage: 12 MB
% 0.62/0.42 % (1965324)Instructions burned: 77 (million)
% 0.62/0.42 % (1965335)Instruction limit reached!
% 0.62/0.42 % (1965335)------------------------------
% 0.62/0.42 % (1965335)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.62/0.42 % (1965335)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.62/0.42 % (1965335)CaDiCaL version: 2.1.3
% 0.62/0.42 % (1965335)Termination reason: Instruction limit
% 0.62/0.42 % (1965335)Termination phase: Property scanning
% 0.62/0.42 % (1965335)Time elapsed: 0.004 s
% 0.62/0.42 % (1965335)Peak memory usage: 10 MB
% 0.62/0.42 % (1965335)Instructions burned: 9 (million)
% 0.62/0.42 % (1965347)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=3264357708:i=86:piset=equals:rtra=on:ntd=on_2999 on theBenchmark for (2999ds/86Mi)
% 0.62/0.42 % (1965346)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
% 0.62/0.42 % (1965346)WARNING Broken Constraint: if forward_subsumption_demodulation_max_matches(1) has been set then forward_subsumption_demodulation(off) is equal to on
% 0.62/0.42 % (1965319)Instruction limit reached!
% 0.62/0.42 % (1965319)------------------------------
% 0.62/0.42 % (1965319)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.62/0.42 % (1965319)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.62/0.42 % (1965319)CaDiCaL version: 2.1.3
% 0.62/0.42 % (1965319)Termination reason: Instruction limit
% 0.62/0.42 % (1965319)Termination phase: Saturation
% 0.62/0.42 % (1965319)Time elapsed: 0.042 s
% 0.62/0.42 % (1965319)Peak memory usage: 12 MB
% 0.62/0.42 % (1965319)Instructions burned: 88 (million)
% 0.62/0.42 % (1965346)ott+1010_64_tgt=ground:cnfonf=lazy_simp:si=on:lma=off:spb=goal:lcm=predicate:random_seed=508230379:i=28:s2at=5:piset=not:hud=10:bd=all:av=off:rtra=on:ixr=off:fsdmm=1_2999 on theBenchmark for (2999ds/28Mi)
% 0.62/0.42 % (1965353)WARNING Broken Constraint: if positive_literal_split_queue_ratios(1,32) has been set then positive_literal_split_queue(off) is equal to on
% 0.62/0.44 % (1965353)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=2923515197:i=2:add=on:rtra=on_2999 on theBenchmark for (2999ds/2Mi)
% 0.62/0.44 % (1965352)lrs+10_1_si=on:cs=on:random_seed=725123701:i=8:rtra=on:ntd=on_2999 on theBenchmark for (2999ds/8Mi)
% 0.62/0.44 % (1965353)Instruction limit reached!
% 0.62/0.44 % (1965353)------------------------------
% 0.62/0.44 % (1965353)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.62/0.44 % (1965353)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.62/0.44 % (1965353)CaDiCaL version: 2.1.3
% 0.62/0.44 % (1965353)Termination reason: Instruction limit
% 0.62/0.44 % (1965353)Termination phase: shuffling
% 0.62/0.44 % (1965353)Time elapsed: 0.001 s
% 0.62/0.44 % (1965353)Peak memory usage: 10 MB
% 0.62/0.44 % (1965353)Instructions burned: 2 (million)
% 0.62/0.44 % (1965352)Instruction limit reached!
% 0.62/0.44 % (1965352)------------------------------
% 0.62/0.44 % (1965352)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.62/0.44 % (1965352)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.62/0.44 % (1965352)CaDiCaL version: 2.1.3
% 0.62/0.44 % (1965352)Termination reason: Instruction limit
% 0.62/0.44 % (1965352)Termination phase: shuffling
% 0.62/0.44 % (1965352)Time elapsed: 0.003 s
% 0.62/0.44 % (1965352)Peak memory usage: 10 MB
% 0.62/0.44 % (1965352)Instructions burned: 8 (million)
% 0.62/0.44 % (1965346)Instruction limit reached!
% 0.62/0.44 % (1965346)------------------------------
% 0.62/0.44 % (1965346)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.62/0.44 % (1965346)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.62/0.44 % (1965346)CaDiCaL version: 2.1.3
% 0.62/0.44 % (1965346)Termination reason: Instruction limit
% 0.62/0.44 % (1965346)Termination phase: Property scanning
% 0.62/0.44 % (1965346)Time elapsed: 0.012 s
% 0.62/0.44 % (1965346)Peak memory usage: 11 MB
% 0.62/0.44 % (1965346)Instructions burned: 29 (million)
% 0.62/0.44 % (1965347)Instruction limit reached!
% 0.62/0.44 % (1965347)------------------------------
% 0.62/0.44 % (1965347)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.62/0.44 % (1965347)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.62/0.44 % (1965347)CaDiCaL version: 2.1.3
% 0.62/0.44 % (1965347)Termination reason: Instruction limit
% 0.62/0.44 % (1965347)Termination phase: Saturation
% 0.62/0.44 % (1965347)Time elapsed: 0.020 s
% 0.62/0.44 % (1965347)Peak memory usage: 12 MB
% 0.62/0.44 % (1965347)Instructions burned: 90 (million)
% 0.62/0.44 % (1965357)lrs+1002_3:1_sil=128000:e2e=on:si=on:urr=on:uwa=one_side_constant:nwc=1.5:random_seed=3230627188:i=38:bd=all:rtra=on:amm=off:ss=axioms:ntd=on_2999 on theBenchmark for (2999ds/38Mi)
% 0.62/0.44 % (1965368)dis+1010_1_sil=128000:si=on:uwa=off:random_seed=2533731432:st=3:s2a=on:i=327:sd=3:rtra=on:ss=axioms_2998 on theBenchmark for (2998ds/327Mi)
% 0.62/0.44 % (1965325)Instruction limit reached!
% 0.62/0.44 % (1965325)------------------------------
% 0.62/0.44 % (1965325)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.62/0.44 % (1965325)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.62/0.44 % (1965325)CaDiCaL version: 2.1.3
% 0.62/0.44 % (1965325)Termination reason: Instruction limit
% 0.62/0.44 % (1965325)Termination phase: Saturation
% 0.62/0.44 % (1965325)Time elapsed: 0.073 s
% 0.62/0.44 % (1965325)Peak memory usage: 13 MB
% 0.62/0.44 % (1965325)Instructions burned: 158 (million)
% 0.62/0.44 % (1965364)lrs+1002_1_to=lpo:sil=128000:si=on:sos=on:spb=goal_then_units:uwa=off:random_seed=2419449336:st=2:i=249:sd=1:rtra=on:ss=axioms_2998 on theBenchmark for (2998ds/249Mi)
% 0.62/0.44 % (1965366)dis+1002_1_sil=128000:fde=unused:e2e=on:si=on:cbe=off:uwa=off:random_seed=1983278208:hsq=on:st=2:i=25:kws=inv_frequency:rtra=on:ss=axioms:ntd=on_2998 on theBenchmark for (2998ds/25Mi)
% 0.62/0.44 % (1965367)lrs+10_16:1_sil=128000:si=on:lma=off:urr=on:uwa=interpreted_only:random_seed=3542338780:i=14:kws=precedence:aac=none:nm=10:rtra=on:er=filter:ntd=on_2998 on theBenchmark for (2998ds/14Mi)
% 0.62/0.44 % (1965357)Refutation not found, incomplete strategy
% 0.62/0.44 % (1965357)------------------------------
% 0.62/0.44 % (1965357)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.62/0.44 % (1965357)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.32/0.47 % (1965357)CaDiCaL version: 2.1.3
% 1.32/0.47 % (1965357)Termination reason: Refutation not found, incomplete strategy
% 1.32/0.47 % (1965357)Time elapsed: 0.016 s
% 1.32/0.47 % (1965357)Peak memory usage: 12 MB
% 1.32/0.47 % (1965357)Instructions burned: 36 (million)
% 1.32/0.47 % (1965357)------------------------------
% 1.32/0.47 % (1965357)------------------------------
% 1.32/0.47 % (1965367)Instruction limit reached!
% 1.32/0.47 % (1965367)------------------------------
% 1.32/0.47 % (1965367)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.32/0.47 % (1965367)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.32/0.47 % (1965367)CaDiCaL version: 2.1.3
% 1.32/0.47 % (1965367)Termination reason: Instruction limit
% 1.32/0.47 % (1965367)Termination phase: Unused predicate definition removal
% 1.32/0.47 % (1965367)Time elapsed: 0.006 s
% 1.32/0.47 % (1965367)Peak memory usage: 10 MB
% 1.32/0.47 % (1965367)Instructions burned: 15 (million)
% 1.32/0.47 % (1965364)Refutation not found, incomplete strategy
% 1.32/0.47 % (1965364)------------------------------
% 1.32/0.47 % (1965364)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.32/0.47 % (1965364)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.32/0.47 % (1965364)CaDiCaL version: 2.1.3
% 1.32/0.47 % (1965364)Termination reason: Refutation not found, incomplete strategy
% 1.32/0.47 % (1965364)Time elapsed: 0.010 s
% 1.32/0.47 % (1965364)Peak memory usage: 12 MB
% 1.32/0.47 % (1965364)Instructions burned: 23 (million)
% 1.32/0.47 % (1965364)------------------------------
% 1.32/0.47 % (1965364)------------------------------
% 1.32/0.47 % (1965366)Instruction limit reached!
% 1.32/0.47 % (1965366)------------------------------
% 1.32/0.47 % (1965366)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.32/0.47 % (1965366)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.32/0.47 % (1965366)CaDiCaL version: 2.1.3
% 1.32/0.47 % (1965366)Termination reason: Instruction limit
% 1.32/0.47 % (1965366)Termination phase: Saturation
% 1.32/0.47 % (1965366)Time elapsed: 0.010 s
% 1.32/0.47 % (1965366)Peak memory usage: 12 MB
% 1.32/0.47 % (1965366)Instructions burned: 25 (million)
% 1.32/0.47 % (1965368)Refutation not found, incomplete strategy
% 1.32/0.47 % (1965368)------------------------------
% 1.32/0.47 % (1965368)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.32/0.47 % (1965368)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.32/0.47 % (1965368)CaDiCaL version: 2.1.3
% 1.32/0.47 % (1965368)Termination reason: Refutation not found, incomplete strategy
% 1.32/0.47 % (1965368)Time elapsed: 0.018 s
% 1.32/0.47 % (1965368)Peak memory usage: 13 MB
% 1.32/0.47 % (1965368)Instructions burned: 76 (million)
% 1.32/0.47 % (1965368)------------------------------
% 1.32/0.47 % (1965368)------------------------------
% 1.32/0.47 % (1965377)dis+10_1_anc=all_dependent:to=kbo:sil=128000:si=on:chr=on:random_seed=853166749:uwa_fpi=on:i=14:aac=none:rtra=on:fe=abstraction_2998 on theBenchmark for (2998ds/14Mi)
% 1.32/0.47 % (1965389)WARNING Broken Constraint: if sine_to_age_generality_threshold(10) 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
% 1.32/0.47 % (1965389)WARNING Broken Constraint: if lrs_weight_limit_only(on) has been set then saturation_algorithm(otter) is equal to lrs
% 1.32/0.47 % (1965381)ott+21_20_to=lpo:sil=128000:tgt=ground:si=on:sp=arity:lma=off:uwa=off:foolp=on:random_seed=3857694540:st=4:i=2:add=off:sd=3:nm=16:fsr=off:rtra=on:ss=axioms:sgt=8:ntd=on_2998 on theBenchmark for (2998ds/2Mi)
% 1.32/0.47 % (1965389)ott+21_1_to=kbo:sil=128000:cnfonf=lazy_gen:bsd=on:si=on:sp=const_frequency:lma=off:uwa=off:foolp=on:s2agt=10:lwlo=on:random_seed=3560964164:i=14:add=off:nm=40:rtra=on:rawr=on_2998 on theBenchmark for (2998ds/14Mi)
% 1.32/0.47 % (1965377)Instruction limit reached!
% 1.32/0.47 % (1965377)------------------------------
% 1.32/0.47 % (1965377)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.32/0.47 % (1965377)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.32/0.47 % (1965377)CaDiCaL version: 2.1.3
% 1.32/0.47 % (1965377)Termination reason: Instruction limit
% 1.32/0.47 % (1965377)Termination phase: Preprocessing 3
% 1.32/0.47 % (1965377)Time elapsed: 0.006 s
% 1.32/0.47 % (1965377)Peak memory usage: 10 MB
% 1.32/0.47 % (1965377)Instructions burned: 15 (million)
% 1.32/0.52 % (1965381)Instruction limit reached!
% 1.32/0.52 % (1965381)------------------------------
% 1.32/0.52 % (1965381)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.32/0.52 % (1965381)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.32/0.52 % (1965381)CaDiCaL version: 2.1.3
% 1.32/0.52 % (1965381)Termination reason: Instruction limit
% 1.32/0.52 % (1965381)Termination phase: shuffling
% 1.32/0.52 % (1965381)Time elapsed: 0.002 s
% 1.32/0.52 % (1965381)Peak memory usage: 10 MB
% 1.32/0.52 % (1965381)Instructions burned: 5 (million)
% 1.32/0.52 % (1965383)ott+1004_1_sil=128000:cnfonf=lazy_pi_sigma_gen:si=on:sp=unary_frequency:cbe=off:uwa=off:nwc=1:random_seed=840066061:i=26:ep=R:rtra=on:ntd=on_2998 on theBenchmark for (2998ds/26Mi)
% 1.32/0.52 % (1965389)Instruction limit reached!
% 1.32/0.52 % (1965389)------------------------------
% 1.32/0.52 % (1965389)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.32/0.52 % (1965389)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.32/0.52 % (1965389)CaDiCaL version: 2.1.3
% 1.32/0.52 % (1965389)Termination reason: Instruction limit
% 1.32/0.52 % (1965389)Termination phase: Property scanning
% 1.32/0.52 % (1965389)Time elapsed: 0.003 s
% 1.32/0.52 % (1965389)Peak memory usage: 10 MB
% 1.32/0.52 % (1965389)Instructions burned: 14 (million)
% 1.32/0.52 % (1965384)dis+1002_16_sil=128000:si=on:sp=occurrence:random_seed=560345781:cond=fast:i=23:hud=1:av=off:rtra=on:fe=abstraction:ntd=on_2998 on theBenchmark for (2998ds/23Mi)
% 1.32/0.52 % (1965387)lrs+1002_1024_sil=128000:tgt=ground:fde=none:e2e=on:si=on:uwa=off:nwc=1:random_seed=2870525830:cond=on:i=60:rtra=on:ntd=on_2998 on theBenchmark for (2998ds/60Mi)
% 1.32/0.52 % (1965401)dis+10_1024_sil=128000:cnfonf=off:si=on:fd=off:random_seed=2190645184:i=7:hud=5:bd=preordered:rtra=on:bet=on_2998 on theBenchmark for (2998ds/7Mi)
% 1.32/0.52 % (1965397)WARNING Broken Constraint: if choice_reasoning(on) has been set then choice_ax(on) is equal to off
% 1.32/0.52 % (1965383)Instruction limit reached!
% 1.32/0.52 % (1965383)------------------------------
% 1.32/0.52 % (1965383)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.32/0.52 % (1965383)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.32/0.52 % (1965401)Instruction limit reached!
% 1.32/0.52 % (1965401)------------------------------
% 1.32/0.52 % (1965401)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.32/0.52 % (1965383)CaDiCaL version: 2.1.3
% 1.32/0.52 % (1965383)Termination reason: Instruction limit
% 1.32/0.52 % (1965383)Termination phase: Property scanning
% 1.32/0.52 % (1965383)Time elapsed: 0.012 s
% 1.32/0.52 % (1965401)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.32/0.52 % (1965383)Peak memory usage: 10 MB
% 1.32/0.52 % (1965383)Instructions burned: 30 (million)
% 1.32/0.52 % (1965401)CaDiCaL version: 2.1.3
% 1.32/0.52 % (1965401)Termination reason: Instruction limit
% 1.32/0.52 % (1965401)Termination phase: shuffling
% 1.32/0.52 % (1965401)Time elapsed: 0.002 s
% 1.32/0.52 % (1965401)Peak memory usage: 10 MB
% 1.32/0.52 % (1965401)Instructions burned: 9 (million)
% 1.32/0.52 % (1965384)Instruction limit reached!
% 1.32/0.52 % (1965384)------------------------------
% 1.32/0.52 % (1965384)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.32/0.52 % (1965384)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.32/0.52 % (1965384)CaDiCaL version: 2.1.3
% 1.32/0.52 % (1965384)Termination reason: Instruction limit
% 1.32/0.52 % (1965384)Termination phase: Property scanning
% 1.32/0.52 % (1965384)Time elapsed: 0.011 s
% 1.32/0.52 % (1965384)Peak memory usage: 10 MB
% 1.32/0.52 % (1965384)Instructions burned: 27 (million)
% 1.32/0.52 % (1965397)lrs+1010_4:1_slsqr=8,1:to=kbo:cha=on:drc=off:si=on:sp=arity:lcm=predicate:uwa=off:fd=preordered:gs=on:nwc=5:s2agt=32:slsqc=1:kmz=on:updr=off:chr=on:pe=on:slsq=on:random_seed=3764512287:i=8:nm=2:rtra=on:fe=abstraction:inj=on_2998 on theBenchmark for (2998ds/8Mi)
% 1.32/0.52 % (1965398)dis+1004_50_to=lpo:drc=off:fde=unused:cnfonf=lazy_not_gen_be_off:si=on:sp=reverse_arity:spb=units:cbe=off:foolp=on:random_seed=2238844213:uwa_fpi=on:i=31:doe=on:bd=preordered:rtra=on:fsd=on_2998 on theBenchmark for (2998ds/31Mi)
% 1.32/0.52 % (1965397)Instruction limit reached!
% 1.32/0.52 % (1965397)------------------------------
% 1.32/0.52 % (1965397)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.04/0.57 % (1965397)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.04/0.57 % (1965397)CaDiCaL version: 2.1.3
% 2.04/0.57 % (1965397)Termination reason: Instruction limit
% 2.04/0.57 % (1965397)Termination phase: SInE selection
% 2.04/0.57 % (1965397)Time elapsed: 0.007 s
% 2.04/0.57 % (1965397)Peak memory usage: 10 MB
% 2.04/0.57 % (1965397)Instructions burned: 17 (million)
% 2.04/0.57 % (1965411)lrs+10_1_plsq=on:drc=ordering:cnfonf=lazy_not_gen_be_off:bsd=on:si=on:plsqr=32,1:cs=on:random_seed=2159757844:i=23:rtra=on:ntd=on_2998 on theBenchmark for (2998ds/23Mi)
% 2.04/0.57 % (1965412)lrs+10_1_sil=128000:fde=unused:si=on:random_seed=4015877720:s2a=on:i=20:kws=inv_frequency:bd=all:rtra=on_2998 on theBenchmark for (2998ds/20Mi)
% 2.04/0.57 % (1965413)dis+1010_2:1_sil=128000:cnfonf=lazy_pi_sigma_gen:si=on:uwa=off:slsq=on:random_seed=3815632227:i=1240:rtra=on:ixr=off_2998 on theBenchmark for (2998ds/1240Mi)
% 2.04/0.57 % (1965398)Instruction limit reached!
% 2.04/0.57 % (1965398)------------------------------
% 2.04/0.57 % (1965398)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.04/0.57 % (1965398)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.04/0.57 % (1965398)CaDiCaL version: 2.1.3
% 2.04/0.57 % (1965398)Termination reason: Instruction limit
% 2.04/0.57 % (1965398)Termination phase: Saturation
% 2.04/0.57 % (1965398)Time elapsed: 0.015 s
% 2.04/0.57 % (1965398)Peak memory usage: 12 MB
% 2.04/0.57 % (1965398)Instructions burned: 31 (million)
% 2.04/0.57 % (1965387)Instruction limit reached!
% 2.04/0.57 % (1965387)------------------------------
% 2.04/0.57 % (1965387)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.04/0.57 % (1965387)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.04/0.57 % (1965387)CaDiCaL version: 2.1.3
% 2.04/0.57 % (1965387)Termination reason: Instruction limit
% 2.04/0.57 % (1965387)Termination phase: Saturation
% 2.04/0.57 % (1965387)Time elapsed: 0.029 s
% 2.04/0.57 % (1965387)Peak memory usage: 12 MB
% 2.04/0.57 % (1965387)Instructions burned: 61 (million)
% 2.04/0.57 % (1965411)Instruction limit reached!
% 2.04/0.57 % (1965411)------------------------------
% 2.04/0.57 % (1965411)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.04/0.57 % (1965411)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.04/0.57 % (1965411)CaDiCaL version: 2.1.3
% 2.04/0.57 % (1965411)Termination reason: Instruction limit
% 2.04/0.57 % (1965411)Termination phase: Property scanning
% 2.04/0.57 % (1965411)Time elapsed: 0.006 s
% 2.04/0.57 % (1965411)Peak memory usage: 10 MB
% 2.04/0.57 % (1965411)Instructions burned: 25 (million)
% 2.04/0.57 % (1965412)Instruction limit reached!
% 2.04/0.57 % (1965412)------------------------------
% 2.04/0.57 % (1965412)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.04/0.57 % (1965412)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.04/0.57 % (1965412)CaDiCaL version: 2.1.3
% 2.04/0.57 % (1965412)Termination reason: Instruction limit
% 2.04/0.57 % (1965412)Termination phase: Property scanning
% 2.04/0.57 % (1965412)Time elapsed: 0.008 s
% 2.04/0.57 % (1965412)Peak memory usage: 10 MB
% 2.04/0.57 % (1965412)Instructions burned: 20 (million)
% 2.04/0.57 % (1965421)ott+1002_32_tgt=ground:si=on:sp=const_max:acc=on:nwc=0.5:random_seed=318044775:i=143:fgj=on:piset=pi_sigma:rtra=on:fe=abstraction_2998 on theBenchmark for (2998ds/143Mi)
% 2.04/0.57 % (1965432)WARNING Broken Constraint: if forward_subsumption_demodulation_max_matches(5) has been set then forward_subsumption_demodulation(off) is equal to on
% 2.04/0.57 % (1965432)dis+21_1_to=kbo:sil=128000:plsq=on:plsqc=1:cnfonf=lazy_gen:si=on:plsqr=64,1:uwa=hol:random_seed=3995321274:uwa_fpi=on:i=7:fgj=on:hud=10:fsr=off:rtra=on:rawr=on:fsdmm=5_2998 on theBenchmark for (2998ds/7Mi)
% 2.04/0.57 % (1965432)Instruction limit reached!
% 2.04/0.57 % (1965432)------------------------------
% 2.04/0.57 % (1965432)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.04/0.57 % (1965432)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.04/0.57 % (1965432)CaDiCaL version: 2.1.3
% 2.04/0.57 % (1965432)Termination reason: Instruction limit
% 2.04/0.57 % (1965432)Termination phase: Property scanning
% 2.04/0.57 % (1965432)Time elapsed: 0.002 s
% 2.04/0.57 % (1965432)Peak memory usage: 10 MB
% 2.04/0.57 % (1965432)Instructions burned: 8 (million)
% 2.04/0.57 % (1965429)lrs+1002_1_sil=128000:si=on:acc=on:uwa=off:random_seed=970660544:st=5:s2a=on:i=193:sd=1:rtra=on:ss=axioms_2998 on theBenchmark for (2998ds/193Mi)
% 2.40/0.64 % (1965430)dis+10_1024_sil=128000:si=on:sp=unary_first:urr=on:uwa=all:fd=off:random_seed=2730279250:i=42:hud=10:rtra=on_2998 on theBenchmark for (2998ds/42Mi)
% 2.40/0.64 % (1965443)dis+10_8_sil=128000:plsq=on:plsqc=1:si=on:sp=unary_first:sos=on:lma=off:plsqr=64,1:uwa=interpreted_only:foolp=on:random_seed=3750206529:st=3:avsq=on:i=169:avsqr=8,1:sd=2:kws=precedence:bd=preordered:rtra=on:ss=axioms:ntd=on_2997 on theBenchmark for (2997ds/169Mi)
% 2.40/0.64 % (1965435)lrs+10_1_to=lpo:sil=128000:si=on:sp=arity:urr=on:random_seed=715115793:i=181:sd=2:bd=preordered:rtra=on:ss=axioms_2998 on theBenchmark for (2998ds/181Mi)
% 2.40/0.64 % (1965430)Instruction limit reached!
% 2.40/0.64 % (1965430)------------------------------
% 2.40/0.64 % (1965430)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.40/0.64 % (1965430)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.40/0.64 % (1965430)CaDiCaL version: 2.1.3
% 2.40/0.64 % (1965430)Termination reason: Instruction limit
% 2.40/0.64 % (1965430)Termination phase: Property scanning
% 2.40/0.64 % (1965430)Time elapsed: 0.017 s
% 2.40/0.64 % (1965430)Peak memory usage: 10 MB
% 2.40/0.64 % (1965430)Instructions burned: 43 (million)
% 2.40/0.64 % (1965443)Refutation not found, incomplete strategy
% 2.40/0.64 % (1965443)------------------------------
% 2.40/0.64 % (1965443)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.40/0.64 % (1965443)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.40/0.64 % (1965443)CaDiCaL version: 2.1.3
% 2.40/0.64 % (1965443)Termination reason: Refutation not found, incomplete strategy
% 2.40/0.64 % (1965443)Time elapsed: 0.011 s
% 2.40/0.64 % (1965443)Peak memory usage: 12 MB
% 2.40/0.64 % (1965443)Instructions burned: 49 (million)
% 2.40/0.64 % (1965443)------------------------------
% 2.40/0.64 % (1965443)------------------------------
% 2.40/0.64 % (1965429)Refutation not found, incomplete strategy
% 2.40/0.64 % (1965429)------------------------------
% 2.40/0.64 % (1965429)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.40/0.64 % (1965429)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.40/0.64 % (1965429)CaDiCaL version: 2.1.3
% 2.40/0.64 % (1965429)Termination reason: Refutation not found, incomplete strategy
% 2.40/0.64 % (1965429)Time elapsed: 0.027 s
% 2.40/0.64 % (1965429)Peak memory usage: 13 MB
% 2.40/0.64 % (1965429)Instructions burned: 61 (million)
% 2.40/0.64 % (1965429)------------------------------
% 2.40/0.64 % (1965429)------------------------------
% 2.40/0.64 % (1965460)ott+2_5:4_anc=none:to=lpo:si=on:lma=off:cbe=off:uwa=ground:nwc=3:random_seed=377485487:uwa_fpi=on:i=22:add=on:doe=on:ins=1:rtra=on_2997 on theBenchmark for (2997ds/22Mi)
% 2.40/0.64 % (1965459)WARNING Broken Constraint: if sine_level_split_queue_cutoffs(5) has been set then sine_level_split_queue(off) is equal to on
% 2.40/0.64 % (1965459)lrs+1002_1_sil=128000:cnfonf=lazy_pi_sigma_gen:si=on:sp=arity:cbe=off:uwa=all:slsqc=5:random_seed=3696044585:st=4:s2a=on:i=6:add=on:doe=on:hud=10:rtra=on:bet=on:ss=axioms_2997 on theBenchmark for (2997ds/6Mi)
% 2.40/0.64 % (1965460)Instruction limit reached!
% 2.40/0.64 % (1965460)------------------------------
% 2.40/0.64 % (1965460)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.40/0.64 % (1965460)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.40/0.64 % (1965460)CaDiCaL version: 2.1.3
% 2.40/0.64 % (1965460)Termination reason: Instruction limit
% 2.40/0.64 % (1965460)Termination phase: Function definition elimination
% 2.40/0.64 % (1965460)Time elapsed: 0.009 s
% 2.40/0.64 % (1965460)Peak memory usage: 10 MB
% 2.40/0.64 % (1965460)Instructions burned: 25 (million)
% 2.40/0.64 % (1965459)Instruction limit reached!
% 2.40/0.64 % (1965459)------------------------------
% 2.40/0.64 % (1965459)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.40/0.64 % (1965459)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.40/0.64 % (1965459)CaDiCaL version: 2.1.3
% 2.40/0.64 % (1965459)Termination reason: Instruction limit
% 2.40/0.64 % (1965459)Termination phase: Property scanning
% 2.40/0.64 % (1965459)Time elapsed: 0.003 s
% 2.40/0.64 % (1965459)Peak memory usage: 10 MB
% 2.40/0.64 % (1965459)Instructions burned: 7 (million)
% 2.40/0.64 % (1965463)dis+1010_1_to=lpo:sil=128000:cnfonf=lazy_pi_sigma_gen:sas=cadical:si=on:sos=all:uwa=off:sac=on:random_seed=2928091693:i=19:add=on:rtra=on_2997 on theBenchmark for (2997ds/19Mi)
% 2.88/0.71 % (1965467)ott+10_1_sil=128000:plsq=on:plsqc=1:cnfonf=lazy_gen:si=on:lma=off:plsqr=128,1:urr=ec_only:uwa=off:rp=on:nwc=20:br=off:random_seed=1111480524:i=316:bs=unit_only:ins=25:rtra=on:ntd=on_2997 on theBenchmark for (2997ds/316Mi)
% 2.88/0.71 % (1965421)Instruction limit reached!
% 2.88/0.71 % (1965421)------------------------------
% 2.88/0.71 % (1965421)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.88/0.71 % (1965421)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.88/0.71 % (1965421)CaDiCaL version: 2.1.3
% 2.88/0.71 % (1965421)Termination reason: Instruction limit
% 2.88/0.71 % (1965421)Termination phase: Saturation
% 2.88/0.71 % (1965421)Time elapsed: 0.064 s
% 2.88/0.71 % (1965421)Peak memory usage: 13 MB
% 2.88/0.71 % (1965421)Instructions burned: 144 (million)
% 2.88/0.71 % (1965463)Instruction limit reached!
% 2.88/0.71 % (1965463)------------------------------
% 2.88/0.71 % (1965463)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.88/0.71 % (1965463)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.88/0.71 % (1965463)CaDiCaL version: 2.1.3
% 2.88/0.71 % (1965463)Termination reason: Instruction limit
% 2.88/0.71 % (1965463)Termination phase: Function definition elimination
% 2.88/0.71 % (1965463)Time elapsed: 0.008 s
% 2.88/0.71 % (1965463)Peak memory usage: 10 MB
% 2.88/0.71 % (1965463)Instructions burned: 20 (million)
% 2.88/0.71 % (1965468)dis+1004_4:1_slsqr=1,2:to=lpo:plsq=on:fde=unused:e2e=on:si=on:spb=goal_then_units:acc=on:urr=on:uwa=off:fd=preordered:s2agt=16:slsqc=1:slsq=on:random_seed=2439628147:hsq=on:hsqr=16,1:s2a=on:i=853:add=off:bd=all:nm=64:rtra=on:gtg=position:c=on:ntd=on_2997 on theBenchmark for (2997ds/853Mi)
% 2.88/0.71 % (1965435)Refutation not found, incomplete strategy
% 2.88/0.71 % (1965435)------------------------------
% 2.88/0.71 % (1965435)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.88/0.71 % (1965435)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.88/0.71 % (1965435)CaDiCaL version: 2.1.3
% 2.88/0.71 % (1965435)Termination reason: Refutation not found, incomplete strategy
% 2.88/0.71 % (1965435)Time elapsed: 0.058 s
% 2.88/0.71 % (1965435)Peak memory usage: 13 MB
% 2.88/0.71 % (1965435)Instructions burned: 140 (million)
% 2.88/0.71 % (1965435)------------------------------
% 2.88/0.71 % (1965435)------------------------------
% 2.88/0.71 % (1965476)dis+1003_3:4_to=kbo:plsq=on:prc=on:sims=off:e2e=on:si=on:spb=intro:acc=on:urr=on:uwa=off:foolp=on:s2agt=32:slsqc=3:slsq=on:random_seed=105398902:hsq=on:hsqr=16,1:s2a=on:i=45:erml=3:slsql=off:rtra=on:gtg=exists_top:er=filter:ntd=on_2997 on theBenchmark for (2997ds/45Mi)
% 2.88/0.71 % (1965477)lrs+1002_1_sil=128000:fde=unused:e2e=on:si=on:sos=on:uwa=interpreted_only:random_seed=4067811031:i=480:rtra=on_2997 on theBenchmark for (2997ds/480Mi)
% 2.88/0.71 % (1965482)dis+1010_40_sil=128000:si=on:uwa=off:nwc=1:sac=on:chr=on:avsqc=3:random_seed=1748586400:avsq=on:i=21:avsqr=8,1:kws=frequency:fgj=on:bd=all:rtra=on:fe=axiom:ntd=on_2997 on theBenchmark for (2997ds/21Mi)
% 2.88/0.71 % (1965477)Refutation not found, incomplete strategy
% 2.88/0.71 % (1965477)------------------------------
% 2.88/0.71 % (1965477)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.88/0.71 % (1965477)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.88/0.71 % (1965477)CaDiCaL version: 2.1.3
% 2.88/0.71 % (1965477)Termination reason: Refutation not found, incomplete strategy
% 2.88/0.71 % (1965477)Time elapsed: 0.016 s
% 2.88/0.71 % (1965477)Peak memory usage: 12 MB
% 2.88/0.71 % (1965477)Instructions burned: 35 (million)
% 2.88/0.71 % (1965477)------------------------------
% 2.88/0.71 % (1965477)------------------------------
% 2.88/0.71 % (1965482)Instruction limit reached!
% 2.88/0.71 % (1965482)------------------------------
% 2.88/0.71 % (1965482)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.88/0.71 % (1965482)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.88/0.71 % (1965482)CaDiCaL version: 2.1.3
% 2.88/0.71 % (1965482)Termination reason: Instruction limit
% 2.88/0.71 % (1965482)Termination phase: Property scanning
% 2.88/0.71 % (1965482)Time elapsed: 0.009 s
% 2.88/0.71 % (1965482)Peak memory usage: 10 MB
% 2.88/0.71 % (1965482)Instructions burned: 21 (million)
% 2.88/0.71 % (1965476)Instruction limit reached!
% 2.88/0.71 % (1965476)------------------------------
% 2.88/0.76 % (1965476)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.88/0.76 % (1965476)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.88/0.76 % (1965476)CaDiCaL version: 2.1.3
% 2.88/0.76 % (1965476)Termination reason: Instruction limit
% 2.88/0.76 % (1965476)Termination phase: Property scanning
% 2.88/0.76 % (1965476)Time elapsed: 0.026 s
% 2.88/0.76 % (1965476)Peak memory usage: 11 MB
% 2.88/0.76 % (1965476)Instructions burned: 45 (million)
% 2.88/0.76 % (1965493)WARNING Broken Constraint: if sine_level_split_queue_cutoffs(2) has been set then sine_level_split_queue(off) is equal to on
% 2.88/0.76 % (1965493)ott+1002_3_si=on:sp=weighted_frequency:spb=goal:cbe=off:slsqc=2:random_seed=3935306009:cts=off:uwa_fpi=on:i=200:av=off:fsr=off:rtra=on:ntd=on_2996 on theBenchmark for (2996ds/200Mi)
% 2.88/0.76 % (1965495)lrs+10_1_sil=128000:fde=unused:si=on:random_seed=4167302299:s2a=on:i=13:kws=inv_frequency:bd=all:rtra=on_2996 on theBenchmark for (2996ds/13Mi)
% 2.88/0.76 % (1965495)Instruction limit reached!
% 2.88/0.76 % (1965495)------------------------------
% 2.88/0.77 % (1965495)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.88/0.77 % (1965495)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.88/0.77 % (1965495)CaDiCaL version: 2.1.3
% 2.88/0.77 % (1965495)Termination reason: Instruction limit
% 2.88/0.77 % (1965495)Termination phase: Property scanning
% 2.88/0.77 % (1965495)Time elapsed: 0.006 s
% 2.88/0.77 % (1965495)Peak memory usage: 10 MB
% 2.88/0.77 % (1965495)Instructions burned: 15 (million)
% 2.88/0.77 % (1965496)lrs+1010_1_anc=none:slsqr=1,2:sil=128000:cnfonf=conj_eager:sas=cadical:si=on:hi=on:uwa=one_side_interpreted:rp=on:nwc=2:slsqc=3:slsq=on:random_seed=104751626:i=66:s2at=3:nm=2:rtra=on:rawr=on_2996 on theBenchmark for (2996ds/66Mi)
% 2.88/0.77 % (1965467)Instruction limit reached!
% 2.88/0.77 % (1965467)------------------------------
% 2.88/0.77 % (1965467)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.88/0.77 % (1965467)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.88/0.77 % (1965467)CaDiCaL version: 2.1.3
% 2.88/0.77 % (1965467)Termination reason: Instruction limit
% 2.88/0.77 % (1965467)Termination phase: Saturation
% 2.88/0.77 % (1965467)Time elapsed: 0.084 s
% 2.88/0.77 % (1965467)Peak memory usage: 15 MB
% 2.88/0.77 % (1965467)Instructions burned: 318 (million)
% 2.88/0.77 % (1965500)lrs+1004_128_si=on:sos=all:uwa=off:random_seed=43530523:i=51:fsr=off:rtra=on_2996 on theBenchmark for (2996ds/51Mi)
% 2.88/0.77 % (1965507)dis+1002_64_sil=128000:cnfonf=lazy_not_gen_be_off:si=on:cbe=off:uwa=off:nwc=0.5:random_seed=823016399:i=31:kws=inv_frequency:bd=all:rtra=on:ntd=on_2996 on theBenchmark for (2996ds/31Mi)
% 2.88/0.77 % (1965507)Instruction limit reached!
% 2.88/0.77 % (1965507)------------------------------
% 2.88/0.77 % (1965507)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.88/0.77 % (1965507)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.88/0.77 % (1965507)CaDiCaL version: 2.1.3
% 2.88/0.77 % (1965507)Termination reason: Instruction limit
% 2.88/0.77 % (1965507)Termination phase: Property scanning
% 2.88/0.77 % (1965507)Time elapsed: 0.007 s
% 2.88/0.77 % (1965507)Peak memory usage: 10 MB
% 2.88/0.77 % (1965507)Instructions burned: 32 (million)
% 2.88/0.77 % (1965500)Instruction limit reached!
% 2.88/0.77 % (1965500)------------------------------
% 2.88/0.77 % (1965500)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.88/0.77 % (1965500)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.88/0.77 % (1965500)CaDiCaL version: 2.1.3
% 2.88/0.77 % (1965500)Termination reason: Instruction limit
% 2.88/0.77 % (1965500)Termination phase: Saturation
% 2.88/0.77 % (1965500)Time elapsed: 0.021 s
% 2.88/0.77 % (1965500)Peak memory usage: 12 MB
% 2.88/0.77 % (1965500)Instructions burned: 52 (million)
% 2.88/0.77 % (1965496)Instruction limit reached!
% 2.88/0.77 % (1965496)------------------------------
% 2.88/0.77 % (1965496)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.88/0.77 % (1965496)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.88/0.77 % (1965496)CaDiCaL version: 2.1.3
% 2.88/0.77 % (1965496)Termination reason: Instruction limit
% 2.88/0.77 % (1965496)Termination phase: Saturation
% 2.88/0.77 % (1965496)Time elapsed: 0.045 s
% 2.88/0.77 % (1965496)Peak memory usage: 12 MB
% 2.88/0.77 % (1965496)Instructions burned: 67 (million)
% 3.56/0.84 % (1965517)dis+1010_40_to=kbo:tgt=full:fde=unused:si=on:sp=const_frequency:lma=off:cbe=off:uwa=interpreted_only:random_seed=2789186892:i=137:kws=precedence:bd=all:rtra=on:c=on:ntd=on_2996 on theBenchmark for (2996ds/137Mi)
% 3.56/0.84 % (1965526)lrs+1010_1_sil=128000:hsqc=4:si=on:sos=on:random_seed=595652295:hsq=on:i=67:hsqaw=5:rtra=on:fe=abstraction:ntd=on_2996 on theBenchmark for (2996ds/67Mi)
% 3.56/0.84 % (1965521)dis+10_2_sil=128000:plsq=on:plsqc=1:cnfonf=lazy_pi_sigma_gen:si=on:sp=occurrence:plsqr=5,1:bsr=on:plsql=on:random_seed=4016876346:cond=on:i=34:hud=10:nm=10:rtra=on_2996 on theBenchmark for (2996ds/34Mi)
% 3.56/0.84 % (1965526)Instruction limit reached!
% 3.56/0.84 % (1965526)------------------------------
% 3.56/0.84 % (1965526)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 3.56/0.84 % (1965526)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.56/0.84 % (1965526)CaDiCaL version: 2.1.3
% 3.56/0.84 % (1965526)Termination reason: Instruction limit
% 3.56/0.84 % (1965526)Termination phase: Saturation
% 3.56/0.84 % (1965526)Time elapsed: 0.016 s
% 3.56/0.84 % (1965526)Peak memory usage: 12 MB
% 3.56/0.84 % (1965526)Instructions burned: 71 (million)
% 3.56/0.84 % (1965521)Instruction limit reached!
% 3.56/0.84 % (1965521)------------------------------
% 3.56/0.84 % (1965521)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 3.56/0.84 % (1965521)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.56/0.84 % (1965521)CaDiCaL version: 2.1.3
% 3.56/0.84 % (1965521)Termination reason: Instruction limit
% 3.56/0.84 % (1965521)Termination phase: Property scanning
% 3.56/0.84 % (1965521)Time elapsed: 0.014 s
% 3.56/0.84 % (1965521)Peak memory usage: 10 MB
% 3.56/0.84 % (1965521)Instructions burned: 36 (million)
% 3.56/0.84 % (1965322)Instruction limit reached!
% 3.56/0.84 % (1965322)------------------------------
% 3.56/0.84 % (1965322)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 3.56/0.84 % (1965322)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.56/0.84 % (1965322)CaDiCaL version: 2.1.3
% 3.56/0.84 % (1965322)Termination reason: Instruction limit
% 3.56/0.84 % (1965322)Termination phase: Saturation
% 3.56/0.84 % (1965322)Time elapsed: 0.355 s
% 3.56/0.84 % (1965322)Peak memory usage: 16 MB
% 3.56/0.84 % (1965322)Instructions burned: 634 (million)
% 3.56/0.84 % (1965533)WARNING Broken Constraint: if sine_generality_threshold(60) has been set then sine_selection(off) is not equal to off
% 3.56/0.84 % (1965533)dis+21_1_to=lpo:sil=128000:cnfonf=lazy_not_gen_be_off:si=on:sp=unary_frequency:bsr=on:random_seed=2714920258:i=180:hud=16:bd=all:fsr=off:rtra=on:sgt=60:ntd=on_2995 on theBenchmark for (2995ds/180Mi)
% 3.56/0.84 % (1965493)Instruction limit reached!
% 3.56/0.84 % (1965493)------------------------------
% 3.56/0.84 % (1965493)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 3.56/0.84 % (1965493)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.56/0.84 % (1965493)CaDiCaL version: 2.1.3
% 3.56/0.84 % (1965493)Termination reason: Instruction limit
% 3.56/0.84 % (1965493)Termination phase: Saturation
% 3.56/0.84 % (1965493)Time elapsed: 0.093 s
% 3.56/0.84 % (1965493)Peak memory usage: 13 MB
% 3.56/0.84 % (1965493)Instructions burned: 202 (million)
% 3.56/0.84 % (1965535)lrs+1002_1_sil=128000:si=on:uwa=off:random_seed=4238070138:st=2:i=246:sd=3:rtra=on:ss=axioms_2995 on theBenchmark for (2995ds/246Mi)
% 3.56/0.84 % (1965536)lrs+10_7_sil=128000:tgt=full:si=on:lma=off:uwa=off:nwc=1:sac=on:random_seed=183537766:cond=on:i=96:bd=all:rtra=on_2995 on theBenchmark for (2995ds/96Mi)
% 3.56/0.84 % (1965540)lrs+10_1_sil=128000:si=on:sos=on:urr=on:random_seed=3121993832:i=427:sd=1:rtra=on:ss=axioms_2995 on theBenchmark for (2995ds/427Mi)
% 3.56/0.84 % (1965540)Refutation not found, incomplete strategy
% 3.56/0.84 % (1965540)------------------------------
% 3.56/0.84 % (1965540)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 3.56/0.84 % (1965540)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.56/0.84 % (1965540)CaDiCaL version: 2.1.3
% 3.56/0.84 % (1965540)Termination reason: Refutation not found, incomplete strategy
% 3.56/0.84 % (1965540)Time elapsed: 0.010 s
% 3.56/0.84 % (1965540)Peak memory usage: 12 MB
% 3.56/0.84 % (1965540)Instructions burned: 22 (million)
% 3.56/0.84 % (1965540)------------------------------
% 3.56/0.84 % (1965540)------------------------------
% 3.56/0.84 % (1965535)Refutation not found, incomplete strategy
% 3.56/0.84 % (1965535)------------------------------
% 3.56/0.84 % (1965535)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 3.56/0.84 % (1965535)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.56/0.84 % (1965535)CaDiCaL version: 2.1.3
% 3.56/0.84 % (1965535)Termination reason: Refutation not found, incomplete strategy
% 3.56/0.84 % (1965535)Time elapsed: 0.025 s
% 3.56/0.84 % (1965535)Peak memory usage: 12 MB
% 3.56/0.84 % (1965535)Instructions burned: 55 (million)
% 3.56/0.84 % (1965535)------------------------------
% 3.56/0.84 % (1965535)------------------------------
% 3.56/0.84 % (1965517)Instruction limit reached!
% 3.56/0.84 % (1965517)------------------------------
% 3.56/0.84 % (1965517)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 3.56/0.84 % (1965517)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.56/0.84 % (1965517)CaDiCaL version: 2.1.3
% 3.56/0.84 % (1965517)Termination reason: Instruction limit
% 3.56/0.84 % (1965517)Termination phase: Saturation
% 3.56/0.84 % (1965517)Time elapsed: 0.076 s
% 3.56/0.84 % (1965517)Peak memory usage: 13 MB
% 3.56/0.84 % (1965517)Instructions burned: 138 (million)
% 3.56/0.84 % (1965533)Instruction limit reached!
% 3.56/0.84 % (1965533)------------------------------
% 3.56/0.84 % (1965533)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 3.56/0.84 % (1965533)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.56/0.84 % (1965533)CaDiCaL version: 2.1.3
% 3.56/0.84 % (1965533)Termination reason: Instruction limit
% 3.56/0.84 % (1965533)Termination phase: Saturation
% 3.56/0.84 % (1965533)Time elapsed: 0.045 s
% 3.56/0.84 % (1965533)Peak memory usage: 13 MB
% 3.56/0.84 % (1965533)Instructions burned: 183 (million)
% 3.56/0.84 % (1965552)dis+1010_1_sil=128000:si=on:uwa=off:random_seed=1804466235:st=3:s2a=on:i=874:sd=3:rtra=on:ss=axioms_2995 on theBenchmark for (2995ds/874Mi)
% 3.56/0.84 % (1965554)dis+1010_4_sas=cadical:si=on:cbe=off:nwc=20:random_seed=592707551:st=6:s2a=on:i=515:sd=2:nm=2:rtra=on:ss=axioms_2995 on theBenchmark for (2995ds/515Mi)
% 3.56/0.84 % (1965559)ott+1004_1_sil=128000:cnfonf=lazy_pi_sigma_gen:si=on:sp=unary_frequency:cbe=off:uwa=off:nwc=1:random_seed=1306309930:i=44:ep=R:rtra=on:ntd=on_2995 on theBenchmark for (2995ds/44Mi)
% 3.56/0.84 % (1965536)Instruction limit reached!
% 3.56/0.84 % (1965536)------------------------------
% 3.56/0.84 % (1965536)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 3.56/0.84 % (1965536)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.56/0.84 % (1965536)CaDiCaL version: 2.1.3
% 3.56/0.84 % (1965536)Termination reason: Instruction limit
% 3.56/0.84 % (1965536)Termination phase: Saturation
% 3.56/0.84 % (1965536)Time elapsed: 0.042 s
% 3.56/0.84 % (1965536)Peak memory usage: 12 MB
% 3.56/0.84 % (1965536)Instructions burned: 98 (million)
% 3.56/0.84 % (1965556)lrs+1002_1_cnfonf=lazy_pi_sigma_gen:si=on:uwa=off:random_seed=1811602285:st=1.5:i=130:rtra=on:ss=axioms_2995 on theBenchmark for (2995ds/130Mi)
% 3.56/0.84 % (1965559)Instruction limit reached!
% 3.56/0.84 % (1965559)------------------------------
% 3.56/0.84 % (1965559)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 3.56/0.84 % (1965559)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.56/0.84 % (1965559)CaDiCaL version: 2.1.3
% 3.56/0.84 % (1965559)Termination reason: Instruction limit
% 3.56/0.84 % (1965559)Termination phase: Saturation
% 3.56/0.84 % (1965559)Time elapsed: 0.009 s
% 3.56/0.84 % (1965559)Peak memory usage: 11 MB
% 3.56/0.84 % (1965559)Instructions burned: 46 (million)
% 3.56/0.84 % (1965563)lrs+1010_8:1_sil=128000:fde=unused:e2e=on:si=on:sos=on:urr=on:uwa=one_side_constant:fd=off:random_seed=3047471207:s2a=on:i=571:nm=16:rtra=on_2995 on theBenchmark for (2995ds/571Mi)
% 3.56/0.84 % (1965565)dis+1010_8_to=lpo:sil=128000:tgt=ground:si=on:sp=reverse_frequency:cbe=off:uwa=off:random_seed=850251996:i=450:rtra=on:ixr=off:ntd=on_2995 on theBenchmark for (2995ds/450Mi)
% 3.56/0.84 % (1965552)Refutation not found, incomplete strategy
% 3.56/0.84 % (1965552)------------------------------
% 3.56/0.84 % (1965552)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 3.56/0.84 % (1965552)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.56/0.84 % (1965552)CaDiCaL version: 2.1.3
% 3.56/0.84 % (1965552)Termination reason: Refutation not found, incomplete strategy
% 3.56/0.84 % (1965552)Time elapsed: 0.034 s
% 3.56/0.84 % (1965552)Peak memory usage: 13 MB
% 3.56/0.84 % (1965552)Instructions burned: 76 (million)
% 3.56/0.84 % (1965552)------------------------------
% 3.56/0.84 % (1965552)------------------------------
% 3.56/0.84 % (1965563)Refutation not found, incomplete strategy
% 3.56/0.84 % (1965563)------------------------------
% 3.56/0.84 % (1965563)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 3.56/0.84 % (1965563)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.56/0.84 % (1965563)CaDiCaL version: 2.1.3
% 3.56/0.84 % (1965563)Termination reason: Refutation not found, incomplete strategy
% 3.56/0.84 % (1965563)Time elapsed: 0.016 s
% 3.56/0.84 % (1965563)Peak memory usage: 12 MB
% 3.56/0.84 % (1965563)Instructions burned: 37 (million)
% 3.56/0.84 % (1965563)------------------------------
% 3.56/0.84 % (1965563)------------------------------
% 3.56/0.84 % (1965556)Refutation not found, incomplete strategy
% 3.56/0.84 % (1965556)------------------------------
% 3.56/0.84 % (1965556)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 3.56/0.84 % (1965556)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.56/0.84 % (1965556)CaDiCaL version: 2.1.3
% 3.56/0.84 % (1965556)Termination reason: Refutation not found, incomplete strategy
% 3.56/0.84 % (1965556)Time elapsed: 0.046 s
% 3.56/0.84 % (1965556)Peak memory usage: 13 MB
% 3.56/0.84 % (1965556)Instructions burned: 79 (million)
% 3.56/0.84 % (1965556)------------------------------
% 3.56/0.84 % (1965556)------------------------------
% 3.56/0.84 % (1965576)lrs+10_5:1_to=lpo:sil=128000:si=on:uwa=one_side_interpreted:random_seed=2333982232:cts=off:i=95:piset=pi_sigma:bd=all:rtra=on:ntd=on_2994 on theBenchmark for (2994ds/95Mi)
% 3.56/0.84 % (1965585)lrs+1003_1_sil=128000:drc=off:cnfonf=lazy_pi_sigma_gen:si=on:uwa=one_side_interpreted:fd=off:rp=on:sac=on:random_seed=324037345:s2a=on:i=65:add=on:bd=preordered:ins=10:rtra=on_2994 on theBenchmark for (2994ds/65Mi)
% 3.56/0.84 % (1965586)dis+1010_2:1_slsqr=2,1:to=lpo:plsq=on:cnfonf=lazy_pi_sigma_gen:si=on:sp=reverse_arity:acc=on:uwa=hol:fd=preordered:s2agt=16:flr=on:pe=on:slsq=on:random_seed=2295861645:uwa_fpi=on:avsq=on:s2a=on:cond=fast:i=105:s2at=1.5:aac=none:fgj=on:piset=and:hud=3:fsr=off:rtra=on:er=filter:rawr=on_2994 on theBenchmark for (2994ds/105Mi)
% 3.56/0.84 % (1965565) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-1965314-1965565"...
% 3.56/0.84 % (1965565)...printing done.
% 3.56/0.84 % (1965565)Refutation found. Thanks to Tanya!
% 3.56/0.84 % SZS status Theorem for theBenchmark
% 3.56/0.84 % SZS output start Proof for theBenchmark
% See solution above
% 3.56/0.85 % (1965565)------------------------------
% 3.56/0.85 % (1965565)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 3.56/0.85 % (1965565)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.56/0.85 % (1965565)CaDiCaL version: 2.1.3
% 3.56/0.85 % (1965565)Termination reason: Refutation
% 3.56/0.85 % (1965565)Time elapsed: 0.079 s
% 3.56/0.85 % (1965565)Peak memory usage: 14 MB
% 3.56/0.85 % (1965565)Instructions burned: 194 (million)
% 3.56/0.85 % (1965314)Success in time 0.576 s
% 3.56/0.85 % Vampire exiting
%------------------------------------------------------------------------------