%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : ALG274^5 : TPTP v9.3.1. Bugfixed v5.3.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% Computer : n012.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 07:45:19 AM UTC 2026
% Result : Theorem 1.17s 0.35s
% Output : Refutation 1.17s
% Verified :
% SZS Type : Refutation
% Derivation depth : 42
% Number of leaves : 18
% Syntax : Number of formulae : 209 ( 42 unt; 0 typ; 11 def)
% Number of atoms : 1292 ( 518 equ; 0 cnn)
% Maximal formula atoms : 6 ( 6 avg)
% Number of connectives : 2944 ( 253 ~; 309 |; 82 &;1982 @)
% ( 15 <=>; 0 =>; 0 <=; 1 <~>)
% Maximal formula depth : 10 ( 4 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of types : 2 ( 1 usr)
% Number of type conns : 100 ( 100 >; 0 *; 0 +; 0 <<)
% Number of symbols : 50 ( 45 usr; 21 con; 0-4 aty)
% ( 195 !!; 107 ??; 0 @@+; 0 @@-)
% Number of variables : 681 ( 0 sgn 247 !; 15 ?; 681 :)
% Comments :
%------------------------------------------------------------------------------
thf(type_def_5,type,
g: $tType ).
thf(type_def_6,type,
sTfun: ( $tType * $tType ) > $tType ).
thf(func_def_0,type,
cGROUP3: ( g > g > g ) > g > $o ).
thf(func_def_1,type,
cGROUP4: ( g > g > g ) > $o ).
thf(func_def_2,type,
cGRP_ASSOC: ( g > g > g ) > $o ).
thf(func_def_3,type,
cGRP_DIVISORS: ( g > g > g ) > $o ).
thf(func_def_4,type,
cGRP_RIGHT_INVERSE: ( g > g > g ) > g > $o ).
thf(func_def_5,type,
cGRP_RIGHT_UNIT: ( g > g > g ) > g > $o ).
thf(func_def_7,type,
vPI:
!>[X0: $tType] : ( ( X0 > $o ) > $o ) ).
thf(func_def_8,type,
vAND: $o > $o > $o ).
thf(func_def_9,type,
vSIGMA:
!>[X0: $tType] : ( ( X0 > $o ) > $o ) ).
thf(func_def_10,type,
db3:
!>[X0: $tType] : X0 ).
thf(func_def_11,type,
db2:
!>[X0: $tType] : X0 ).
thf(func_def_12,type,
db0:
!>[X0: $tType] : X0 ).
thf(func_def_13,type,
db1:
!>[X0: $tType] : X0 ).
thf(func_def_14,type,
vEQ:
!>[X0: $tType] : ( X0 > X0 > $o ) ).
thf(func_def_15,type,
vLAM:
!>[X0: $tType,X1: $tType] : ( X1 > X0 > X1 ) ).
thf(func_def_18,type,
sK0: g > g > g ).
thf(func_def_19,type,
sK1: g ).
thf(func_def_20,type,
vNOT: $o > $o ).
thf(func_def_21,type,
sK2: g > g > g ).
thf(func_def_22,type,
sK3: g > g > g ).
thf(func_def_23,type,
sK4: g > g > g ).
thf(func_def_24,type,
sK5: g > g > g ).
thf(func_def_25,type,
sK6: g > g ).
thf(func_def_26,type,
sK7: g > g > g ).
thf(func_def_27,type,
sK8: g > g > g ).
thf(func_def_28,type,
sK9: g > g ).
thf(func_def_29,type,
sK10: g > g ).
thf(func_def_30,type,
sK11: g ).
thf(func_def_31,type,
sK12: g ).
thf(func_def_32,type,
sK13: g > g ).
thf(func_def_33,type,
sK14: g ).
thf(func_def_34,type,
sK15: g ).
thf(func_def_35,type,
sK16: g ).
thf(f1,axiom,
( cGRP_ASSOC
= ( ^ [X0: g > g > g] :
! [X1: g,X3: g,X2: g] :
( ( X0 @ ( X0 @ X1 @ X2 ) @ X3 )
= ( X0 @ X1 @ ( X0 @ X2 @ X3 ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cGRP_ASSOC_def) ).
thf(f2,axiom,
( ( ^ [X0: g > g > g] :
! [X2: g,X1: g] :
( ? [X4: g] :
( ( X0 @ X4 @ X1 )
= X2 )
& ? [X3: g] :
( ( X0 @ X1 @ X3 )
= X2 ) ) )
= cGRP_DIVISORS ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cGRP_DIVISORS_def) ).
thf(f3,axiom,
( ( ^ [X0: g > g > g,X1: g] :
! [X2: g] :
? [X3: g] :
( ( X0 @ X2 @ X3 )
= X1 ) )
= cGRP_RIGHT_INVERSE ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cGRP_RIGHT_INVERSE_def) ).
thf(f4,axiom,
( cGRP_RIGHT_UNIT
= ( ^ [X0: g > g > g,X1: g] :
! [X2: g] :
( ( X0 @ X2 @ X1 )
= X2 ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cGRP_RIGHT_UNIT_def) ).
thf(f5,axiom,
( ( ^ [X0: g > g > g,X1: g] :
( ( cGRP_RIGHT_INVERSE @ X0 @ X1 )
& ( cGRP_RIGHT_UNIT @ X0 @ X1 )
& ( cGRP_ASSOC @ X0 ) ) )
= cGROUP3 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cGROUP3_def) ).
thf(f6,axiom,
( ( ^ [X0: g > g > g] :
( ( cGRP_ASSOC @ X0 )
& ( cGRP_DIVISORS @ X0 ) ) )
= cGROUP4 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cGROUP4_def) ).
thf(f7,conjecture,
! [X0: g > g > g] :
( ? [X1: g] : ( cGROUP3 @ X0 @ X1 )
<=> ( cGROUP4 @ X0 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cEQUIV_03_04) ).
thf(f8,negated_conjecture,
~ ! [X0: g > g > g] :
( ? [X1: g] : ( cGROUP3 @ X0 @ X1 )
<=> ( cGROUP4 @ X0 ) ),
inference(negated_conjecture,[status(cth)],[f7]) ).
thf(f9,plain,
( ( ^ [X0: g > g > g] :
! [X1: g,X2: g] :
( ? [X3: g] :
( ( X0 @ X3 @ X2 )
= X1 )
& ? [X4: g] :
( ( X0 @ X2 @ X4 )
= X1 ) ) )
= cGRP_DIVISORS ),
inference(rectify,[],[f2]) ).
thf(f10,plain,
( cGRP_DIVISORS
= ( ^ [Y0: g > g > g] :
( !! @ g
@ ^ [Y1: g] :
( !! @ g
@ ^ [Y2: g] :
( ( ?? @ g
@ ^ [Y3: g] :
( ( Y0 @ Y1 @ Y3 )
= Y2 ) )
& ( ?? @ g
@ ^ [Y3: g] :
( ( Y0 @ Y3 @ Y1 )
= Y2 ) ) ) ) ) ) ),
inference(fool_elimination,[],[f9]) ).
thf(f11,plain,
( cGRP_ASSOC
= ( ^ [X0: g > g > g] :
! [X1: g,X2: g,X3: g] :
( ( X0 @ ( X0 @ X1 @ X3 ) @ X2 )
= ( X0 @ X1 @ ( X0 @ X3 @ X2 ) ) ) ) ),
inference(rectify,[],[f1]) ).
thf(f12,plain,
( cGRP_ASSOC
= ( ^ [Y0: g > g > g] :
( !! @ g
@ ^ [Y1: g] :
( !! @ g
@ ^ [Y2: g] :
( !! @ g
@ ^ [Y3: g] :
( ( Y0 @ ( Y0 @ Y3 @ Y1 ) @ Y2 )
= ( Y0 @ Y3 @ ( Y0 @ Y1 @ Y2 ) ) ) ) ) ) ) ),
inference(fool_elimination,[],[f11]) ).
thf(f13,plain,
( cGRP_RIGHT_UNIT
= ( ^ [Y0: g > g > g,Y1: g] :
( !! @ g
@ ^ [Y2: g] :
( ( Y0 @ Y2 @ Y1 )
= Y2 ) ) ) ),
inference(fool_elimination,[],[f4]) ).
thf(f14,plain,
( ( ^ [X0: g > g > g,X1: g] :
( ( cGRP_RIGHT_INVERSE @ X0 @ X1 )
& ( cGRP_RIGHT_UNIT @ X0 @ X1 )
& ( cGRP_ASSOC @ X0 ) ) )
= cGROUP3 ),
inference(rectify,[],[f5]) ).
thf(f15,plain,
( cGROUP3
= ( ^ [Y0: g > g > g,Y1: g] :
( ( cGRP_ASSOC @ Y0 )
& ( cGRP_RIGHT_UNIT @ Y0 @ Y1 )
& ( cGRP_RIGHT_INVERSE @ Y0 @ Y1 ) ) ) ),
inference(fool_elimination,[],[f14]) ).
thf(f16,plain,
( ( ^ [X0: g > g > g] :
( ( cGRP_ASSOC @ X0 )
& ( cGRP_DIVISORS @ X0 ) ) )
= cGROUP4 ),
inference(rectify,[],[f6]) ).
thf(f17,plain,
( cGROUP4
= ( ^ [Y0: g > g > g] :
( ( cGRP_DIVISORS @ Y0 )
& ( cGRP_ASSOC @ Y0 ) ) ) ),
inference(fool_elimination,[],[f16]) ).
thf(f18,plain,
( cGRP_RIGHT_INVERSE
= ( ^ [Y0: g > g > g,Y1: g] :
( !! @ g
@ ^ [Y2: g] :
( ?? @ g
@ ^ [Y3: g] :
( ( Y0 @ Y2 @ Y3 )
= Y1 ) ) ) ) ),
inference(fool_elimination,[],[f3]) ).
thf(f19,plain,
~ ! [X0: g > g > g] :
( ? [X1: g] : ( cGROUP3 @ X0 @ X1 )
<=> ( cGROUP4 @ X0 ) ),
inference(rectify,[],[f8]) ).
thf(f20,plain,
~ ! [X0: g > g > g] :
( ( ( cGROUP4 @ X0 )
= $true )
<=> ? [X1: g] :
( ( cGROUP3 @ X0 @ X1 )
= $true ) ),
inference(fool_elimination,[],[f19]) ).
thf(f21,plain,
? [X0: g > g > g] :
( ? [X1: g] :
( ( cGROUP3 @ X0 @ X1 )
= $true )
<~> ( ( cGROUP4 @ X0 )
= $true ) ),
inference(ennf_transformation,[],[f20]) ).
thf(f22,plain,
? [X0: g > g > g] :
( ( ( ( cGROUP4 @ X0 )
!= $true )
| ! [X1: g] :
( ( cGROUP3 @ X0 @ X1 )
!= $true ) )
& ( ( ( cGROUP4 @ X0 )
= $true )
| ? [X1: g] :
( ( cGROUP3 @ X0 @ X1 )
= $true ) ) ),
inference(nnf_transformation,[],[f21]) ).
thf(f23,plain,
? [X0: g > g > g] :
( ( ( ( cGROUP4 @ X0 )
!= $true )
| ! [X1: g] :
( ( cGROUP3 @ X0 @ X1 )
!= $true ) )
& ( ( ( cGROUP4 @ X0 )
= $true )
| ? [X2: g] :
( $true
= ( cGROUP3 @ X0 @ X2 ) ) ) ),
inference(rectify,[],[f22]) ).
thf(f24,plain,
( ( ( ( cGROUP4 @ sK0 )
!= $true )
| ! [X1: g] :
( $true
!= ( cGROUP3 @ sK0 @ X1 ) ) )
& ( ( ( cGROUP4 @ sK0 )
= $true )
| ( $true
= ( cGROUP3 @ sK0 @ sK1 ) ) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK0,sK1]),skolemize(X0,sK0),skolemize(X2,sK1)],[f23]) ).
thf(f25,plain,
( cGRP_DIVISORS
= ( ^ [Y0: g > g > g] :
( !! @ g
@ ^ [Y1: g] :
( !! @ g
@ ^ [Y2: g] :
( ( ?? @ g
@ ^ [Y3: g] :
( ( Y0 @ Y1 @ Y3 )
= Y2 ) )
& ( ?? @ g
@ ^ [Y3: g] :
( ( Y0 @ Y3 @ Y1 )
= Y2 ) ) ) ) ) ) ),
inference(cnf_transformation,[],[f10]) ).
thf(f26,plain,
( cGROUP4
= ( ^ [Y0: g > g > g] :
( ( cGRP_DIVISORS @ Y0 )
& ( cGRP_ASSOC @ Y0 ) ) ) ),
inference(cnf_transformation,[],[f17]) ).
thf(f27,plain,
( cGRP_ASSOC
= ( ^ [Y0: g > g > g] :
( !! @ g
@ ^ [Y1: g] :
( !! @ g
@ ^ [Y2: g] :
( !! @ g
@ ^ [Y3: g] :
( ( Y0 @ ( Y0 @ Y3 @ Y1 ) @ Y2 )
= ( Y0 @ Y3 @ ( Y0 @ Y1 @ Y2 ) ) ) ) ) ) ) ),
inference(cnf_transformation,[],[f12]) ).
thf(f28,plain,
( ( ( cGROUP4 @ sK0 )
= $true )
| ( $true
= ( cGROUP3 @ sK0 @ sK1 ) ) ),
inference(cnf_transformation,[],[f24]) ).
thf(f29,plain,
! [X1: g] :
( ( ( cGROUP4 @ sK0 )
!= $true )
| ( $true
!= ( cGROUP3 @ sK0 @ X1 ) ) ),
inference(cnf_transformation,[],[f24]) ).
thf(f30,plain,
( cGRP_RIGHT_UNIT
= ( ^ [Y0: g > g > g,Y1: g] :
( !! @ g
@ ^ [Y2: g] :
( ( Y0 @ Y2 @ Y1 )
= Y2 ) ) ) ),
inference(cnf_transformation,[],[f13]) ).
thf(f31,plain,
( cGROUP3
= ( ^ [Y0: g > g > g,Y1: g] :
( ( cGRP_ASSOC @ Y0 )
& ( cGRP_RIGHT_UNIT @ Y0 @ Y1 )
& ( cGRP_RIGHT_INVERSE @ Y0 @ Y1 ) ) ) ),
inference(cnf_transformation,[],[f15]) ).
thf(f32,plain,
( cGRP_RIGHT_INVERSE
= ( ^ [Y0: g > g > g,Y1: g] :
( !! @ g
@ ^ [Y2: g] :
( ?? @ g
@ ^ [Y3: g] :
( ( Y0 @ Y2 @ Y3 )
= Y1 ) ) ) ) ),
inference(cnf_transformation,[],[f18]) ).
thf(f35,plain,
( cGROUP3
= ( ^ [Y0: g > g > g,Y1: g] :
( ( ^ [Y2: g > g > g] :
( !! @ g
@ ^ [Y3: g] :
( !! @ g
@ ^ [Y4: g] :
( !! @ g
@ ^ [Y5: g] :
( ( Y2 @ ( Y2 @ Y5 @ Y3 ) @ Y4 )
= ( Y2 @ Y5 @ ( Y2 @ Y3 @ Y4 ) ) ) ) ) )
@ Y0 )
& ( ^ [Y2: g > g > g,Y3: g] :
( !! @ g
@ ^ [Y4: g] :
( ( Y2 @ Y4 @ Y3 )
= Y4 ) )
@ Y0
@ Y1 )
& ( ^ [Y2: g > g > g,Y3: g] :
( !! @ g
@ ^ [Y4: g] :
( ?? @ g
@ ^ [Y5: g] :
( ( Y2 @ Y4 @ Y5 )
= Y3 ) ) )
@ Y0
@ Y1 ) ) ) ),
inference(definition_unfolding,[],[f31,f27,f30,f32]) ).
thf(f36,plain,
( cGROUP4
= ( ^ [Y0: g > g > g] :
( ( ^ [Y1: g > g > g] :
( !! @ g
@ ^ [Y2: g] :
( !! @ g
@ ^ [Y3: g] :
( ( ?? @ g
@ ^ [Y4: g] :
( ( Y1 @ Y2 @ Y4 )
= Y3 ) )
& ( ?? @ g
@ ^ [Y4: g] :
( ( Y1 @ Y4 @ Y2 )
= Y3 ) ) ) ) )
@ Y0 )
& ( ^ [Y1: g > g > g] :
( !! @ g
@ ^ [Y2: g] :
( !! @ g
@ ^ [Y3: g] :
( !! @ g
@ ^ [Y4: g] :
( ( Y1 @ ( Y1 @ Y4 @ Y2 ) @ Y3 )
= ( Y1 @ Y4 @ ( Y1 @ Y2 @ Y3 ) ) ) ) ) )
@ Y0 ) ) ) ),
inference(definition_unfolding,[],[f26,f25,f27]) ).
thf(f37,plain,
! [X1: g] :
( ( ( ^ [Y0: g > g > g] :
( ( ^ [Y1: g > g > g] :
( !! @ g
@ ^ [Y2: g] :
( !! @ g
@ ^ [Y3: g] :
( ( ?? @ g
@ ^ [Y4: g] :
( ( Y1 @ Y2 @ Y4 )
= Y3 ) )
& ( ?? @ g
@ ^ [Y4: g] :
( ( Y1 @ Y4 @ Y2 )
= Y3 ) ) ) ) )
@ Y0 )
& ( ^ [Y1: g > g > g] :
( !! @ g
@ ^ [Y2: g] :
( !! @ g
@ ^ [Y3: g] :
( !! @ g
@ ^ [Y4: g] :
( ( Y1 @ ( Y1 @ Y4 @ Y2 ) @ Y3 )
= ( Y1 @ Y4 @ ( Y1 @ Y2 @ Y3 ) ) ) ) ) )
@ Y0 ) )
@ sK0 )
!= $true )
| ( ( ^ [Y0: g > g > g,Y1: g] :
( ( ^ [Y2: g > g > g] :
( !! @ g
@ ^ [Y3: g] :
( !! @ g
@ ^ [Y4: g] :
( !! @ g
@ ^ [Y5: g] :
( ( Y2 @ ( Y2 @ Y5 @ Y3 ) @ Y4 )
= ( Y2 @ Y5 @ ( Y2 @ Y3 @ Y4 ) ) ) ) ) )
@ Y0 )
& ( ^ [Y2: g > g > g,Y3: g] :
( !! @ g
@ ^ [Y4: g] :
( ( Y2 @ Y4 @ Y3 )
= Y4 ) )
@ Y0
@ Y1 )
& ( ^ [Y2: g > g > g,Y3: g] :
( !! @ g
@ ^ [Y4: g] :
( ?? @ g
@ ^ [Y5: g] :
( ( Y2 @ Y4 @ Y5 )
= Y3 ) ) )
@ Y0
@ Y1 ) )
@ sK0
@ X1 )
!= $true ) ),
inference(definition_unfolding,[],[f29,f36,f35]) ).
thf(f38,plain,
( ( ( ^ [Y0: g > g > g] :
( ( ^ [Y1: g > g > g] :
( !! @ g
@ ^ [Y2: g] :
( !! @ g
@ ^ [Y3: g] :
( ( ?? @ g
@ ^ [Y4: g] :
( ( Y1 @ Y2 @ Y4 )
= Y3 ) )
& ( ?? @ g
@ ^ [Y4: g] :
( ( Y1 @ Y4 @ Y2 )
= Y3 ) ) ) ) )
@ Y0 )
& ( ^ [Y1: g > g > g] :
( !! @ g
@ ^ [Y2: g] :
( !! @ g
@ ^ [Y3: g] :
( !! @ g
@ ^ [Y4: g] :
( ( Y1 @ ( Y1 @ Y4 @ Y2 ) @ Y3 )
= ( Y1 @ Y4 @ ( Y1 @ Y2 @ Y3 ) ) ) ) ) )
@ Y0 ) )
@ sK0 )
= $true )
| ( ( ^ [Y0: g > g > g,Y1: g] :
( ( ^ [Y2: g > g > g] :
( !! @ g
@ ^ [Y3: g] :
( !! @ g
@ ^ [Y4: g] :
( !! @ g
@ ^ [Y5: g] :
( ( Y2 @ ( Y2 @ Y5 @ Y3 ) @ Y4 )
= ( Y2 @ Y5 @ ( Y2 @ Y3 @ Y4 ) ) ) ) ) )
@ Y0 )
& ( ^ [Y2: g > g > g,Y3: g] :
( !! @ g
@ ^ [Y4: g] :
( ( Y2 @ Y4 @ Y3 )
= Y4 ) )
@ Y0
@ Y1 )
& ( ^ [Y2: g > g > g,Y3: g] :
( !! @ g
@ ^ [Y4: g] :
( ?? @ g
@ ^ [Y5: g] :
( ( Y2 @ Y4 @ Y5 )
= Y3 ) ) )
@ Y0
@ Y1 ) )
@ sK0
@ sK1 )
= $true ) ),
inference(definition_unfolding,[],[f28,f36,f35]) ).
thf(f39,plain,
( ( $true
= ( ( !! @ g
@ ^ [Y0: g] :
( !! @ g
@ ^ [Y1: g] :
( ( ?? @ g
@ ^ [Y2: g] :
( ( sK0 @ Y0 @ Y2 )
= Y1 ) )
& ( ?? @ g
@ ^ [Y2: g] :
( ( sK0 @ Y2 @ Y0 )
= Y1 ) ) ) ) )
& ( !! @ g
@ ^ [Y0: g] :
( !! @ g
@ ^ [Y1: g] :
( !! @ g
@ ^ [Y2: g] :
( ( sK0 @ ( sK0 @ Y2 @ Y0 ) @ Y1 )
= ( sK0 @ Y2 @ ( sK0 @ Y0 @ Y1 ) ) ) ) ) ) ) )
| ( $true
= ( ( !! @ g
@ ^ [Y0: g] :
( !! @ g
@ ^ [Y1: g] :
( !! @ g
@ ^ [Y2: g] :
( ( sK0 @ ( sK0 @ Y2 @ Y0 ) @ Y1 )
= ( sK0 @ Y2 @ ( sK0 @ Y0 @ Y1 ) ) ) ) ) )
& ( !! @ g
@ ^ [Y0: g] :
( ( sK0 @ Y0 @ sK1 )
= Y0 ) )
& ( !! @ g
@ ^ [Y0: g] :
( ?? @ g
@ ^ [Y1: g] :
( ( sK0 @ Y0 @ Y1 )
= sK1 ) ) ) ) ) ),
inference(beta-eta_normalization,[],[f38]) ).
thf(f40,plain,
( ( $true
= ( ( !! @ g
@ ^ [Y0: g] :
( !! @ g
@ ^ [Y1: g] :
( !! @ g
@ ^ [Y2: g] :
( ( sK0 @ ( sK0 @ Y2 @ Y0 ) @ Y1 )
= ( sK0 @ Y2 @ ( sK0 @ Y0 @ Y1 ) ) ) ) ) )
& ( !! @ g
@ ^ [Y0: g] :
( ( sK0 @ Y0 @ sK1 )
= Y0 ) )
& ( !! @ g
@ ^ [Y0: g] :
( ?? @ g
@ ^ [Y1: g] :
( ( sK0 @ Y0 @ Y1 )
= sK1 ) ) ) ) )
| ( $true
= ( !! @ g
@ ^ [Y0: g] :
( !! @ g
@ ^ [Y1: g] :
( !! @ g
@ ^ [Y2: g] :
( ( sK0 @ ( sK0 @ Y2 @ Y0 ) @ Y1 )
= ( sK0 @ Y2 @ ( sK0 @ Y0 @ Y1 ) ) ) ) ) ) ) ),
inference(and_proxy_clausification,[],[f39]) ).
thf(f41,plain,
( ( $true
= ( ( !! @ g
@ ^ [Y0: g] :
( !! @ g
@ ^ [Y1: g] :
( !! @ g
@ ^ [Y2: g] :
( ( sK0 @ ( sK0 @ Y2 @ Y0 ) @ Y1 )
= ( sK0 @ Y2 @ ( sK0 @ Y0 @ Y1 ) ) ) ) ) )
& ( !! @ g
@ ^ [Y0: g] :
( ( sK0 @ Y0 @ sK1 )
= Y0 ) )
& ( !! @ g
@ ^ [Y0: g] :
( ?? @ g
@ ^ [Y1: g] :
( ( sK0 @ Y0 @ Y1 )
= sK1 ) ) ) ) )
| ( $true
= ( !! @ g
@ ^ [Y0: g] :
( !! @ g
@ ^ [Y1: g] :
( ( ?? @ g
@ ^ [Y2: g] :
( ( sK0 @ Y0 @ Y2 )
= Y1 ) )
& ( ?? @ g
@ ^ [Y2: g] :
( ( sK0 @ Y2 @ Y0 )
= Y1 ) ) ) ) ) ) ),
inference(and_proxy_clausification,[],[f39]) ).
thf(f42,plain,
( ( $true
= ( !! @ g
@ ^ [Y0: g] :
( !! @ g
@ ^ [Y1: g] :
( ( ?? @ g
@ ^ [Y2: g] :
( ( sK0 @ Y0 @ Y2 )
= Y1 ) )
& ( ?? @ g
@ ^ [Y2: g] :
( ( sK0 @ Y2 @ Y0 )
= Y1 ) ) ) ) ) )
| ( $true
= ( !! @ g
@ ^ [Y0: g] :
( ?? @ g
@ ^ [Y1: g] :
( ( sK0 @ Y0 @ Y1 )
= sK1 ) ) ) ) ),
inference(and_proxy_clausification,[],[f41]) ).
thf(f43,plain,
( ( $true
= ( ( !! @ g
@ ^ [Y0: g] :
( !! @ g
@ ^ [Y1: g] :
( !! @ g
@ ^ [Y2: g] :
( ( sK0 @ ( sK0 @ Y2 @ Y0 ) @ Y1 )
= ( sK0 @ Y2 @ ( sK0 @ Y0 @ Y1 ) ) ) ) ) )
& ( !! @ g
@ ^ [Y0: g] :
( ( sK0 @ Y0 @ sK1 )
= Y0 ) ) ) )
| ( $true
= ( !! @ g
@ ^ [Y0: g] :
( !! @ g
@ ^ [Y1: g] :
( ( ?? @ g
@ ^ [Y2: g] :
( ( sK0 @ Y0 @ Y2 )
= Y1 ) )
& ( ?? @ g
@ ^ [Y2: g] :
( ( sK0 @ Y2 @ Y0 )
= Y1 ) ) ) ) ) ) ),
inference(and_proxy_clausification,[],[f41]) ).
thf(f44,plain,
( ( $true
= ( !! @ g
@ ^ [Y0: g] :
( !! @ g
@ ^ [Y1: g] :
( ( ?? @ g
@ ^ [Y2: g] :
( ( sK0 @ Y0 @ Y2 )
= Y1 ) )
& ( ?? @ g
@ ^ [Y2: g] :
( ( sK0 @ Y2 @ Y0 )
= Y1 ) ) ) ) ) )
| ( $true
= ( !! @ g
@ ^ [Y0: g] :
( ( sK0 @ Y0 @ sK1 )
= Y0 ) ) ) ),
inference(and_proxy_clausification,[],[f43]) ).
thf(f63,plain,
! [X1: g] :
( ( ( ^ [Y0: g] :
( !! @ g
@ ^ [Y1: g] :
( ( ?? @ g
@ ^ [Y2: g] :
( ( sK0 @ Y0 @ Y2 )
= Y1 ) )
& ( ?? @ g
@ ^ [Y2: g] :
( ( sK0 @ Y2 @ Y0 )
= Y1 ) ) ) )
@ X1 )
= $true )
| ( $true
= ( !! @ g
@ ^ [Y0: g] :
( ( sK0 @ Y0 @ sK1 )
= Y0 ) ) ) ),
inference(pi_proxy_clausification,[],[f44]) ).
thf(f64,plain,
! [X2: g,X1: g] :
( ( ( ^ [Y0: g] :
( !! @ g
@ ^ [Y1: g] :
( ( ?? @ g
@ ^ [Y2: g] :
( ( sK0 @ Y0 @ Y2 )
= Y1 ) )
& ( ?? @ g
@ ^ [Y2: g] :
( ( sK0 @ Y2 @ Y0 )
= Y1 ) ) ) )
@ X1 )
= $true )
| ( $true
= ( ^ [Y0: g] :
( ( sK0 @ Y0 @ sK1 )
= Y0 )
@ X2 ) ) ),
inference(pi_proxy_clausification,[],[f63]) ).
thf(f65,plain,
! [X2: g,X1: g] :
( ( $true
= ( !! @ g
@ ^ [Y0: g] :
( ( ?? @ g
@ ^ [Y1: g] :
( ( sK0 @ X1 @ Y1 )
= Y0 ) )
& ( ?? @ g
@ ^ [Y1: g] :
( ( sK0 @ Y1 @ X1 )
= Y0 ) ) ) ) )
| ( ( ( sK0 @ X2 @ sK1 )
= X2 )
= $true ) ),
inference(beta-eta_normalization,[],[f64]) ).
thf(f66,plain,
! [X2: g,X3: g,X1: g] :
( ( $true
= ( ^ [Y0: g] :
( ( ?? @ g
@ ^ [Y1: g] :
( ( sK0 @ X1 @ Y1 )
= Y0 ) )
& ( ?? @ g
@ ^ [Y1: g] :
( ( sK0 @ Y1 @ X1 )
= Y0 ) ) )
@ X3 ) )
| ( ( ( sK0 @ X2 @ sK1 )
= X2 )
= $true ) ),
inference(pi_proxy_clausification,[],[f65]) ).
thf(f67,plain,
! [X2: g,X3: g,X1: g] :
( ( ( sK0 @ X2 @ sK1 )
= X2 )
| ( $true
= ( ^ [Y0: g] :
( ( ?? @ g
@ ^ [Y1: g] :
( ( sK0 @ X1 @ Y1 )
= Y0 ) )
& ( ?? @ g
@ ^ [Y1: g] :
( ( sK0 @ Y1 @ X1 )
= Y0 ) ) )
@ X3 ) ) ),
inference(equality_proxy_clausification,[],[f66]) ).
thf(f68,plain,
! [X2: g,X3: g,X1: g] :
( ( $true
= ( ( ?? @ g
@ ^ [Y0: g] :
( ( sK0 @ X1 @ Y0 )
= X3 ) )
& ( ?? @ g
@ ^ [Y0: g] :
( ( sK0 @ Y0 @ X1 )
= X3 ) ) ) )
| ( ( sK0 @ X2 @ sK1 )
= X2 ) ),
inference(beta-eta_normalization,[],[f67]) ).
thf(f69,plain,
! [X2: g,X3: g,X1: g] :
( ( ( sK0 @ X2 @ sK1 )
= X2 )
| ( $true
= ( ?? @ g
@ ^ [Y0: g] :
( ( sK0 @ Y0 @ X1 )
= X3 ) ) ) ),
inference(and_proxy_clausification,[],[f68]) ).
thf(f70,plain,
! [X2: g,X3: g,X1: g] :
( ( $true
= ( ?? @ g
@ ^ [Y0: g] :
( ( sK0 @ X1 @ Y0 )
= X3 ) ) )
| ( ( sK0 @ X2 @ sK1 )
= X2 ) ),
inference(and_proxy_clausification,[],[f68]) ).
thf(f71,plain,
! [X2: g,X3: g,X1: g] :
( ( ( ^ [Y0: g] :
( ( sK0 @ X1 @ Y0 )
= X3 )
@ ( sK4 @ X3 @ X1 ) )
= $true )
| ( ( sK0 @ X2 @ sK1 )
= X2 ) ),
inference(sigma_proxy_clausification,[],[f70]) ).
thf(f72,plain,
! [X2: g,X3: g,X1: g] :
( ( $true
= ( ( sK0 @ X1 @ ( sK4 @ X3 @ X1 ) )
= X3 ) )
| ( ( sK0 @ X2 @ sK1 )
= X2 ) ),
inference(beta-eta_normalization,[],[f71]) ).
thf(f73,plain,
! [X2: g,X3: g,X1: g] :
( ( ( sK0 @ X1 @ ( sK4 @ X3 @ X1 ) )
= X3 )
| ( ( sK0 @ X2 @ sK1 )
= X2 ) ),
inference(equality_proxy_clausification,[],[f72]) ).
thf(f74,plain,
! [X2: g,X3: g,X1: g] :
( ( ( sK0 @ X2 @ sK1 )
= X2 )
| ( ( ^ [Y0: g] :
( ( sK0 @ Y0 @ X1 )
= X3 )
@ ( sK5 @ X3 @ X1 ) )
= $true ) ),
inference(sigma_proxy_clausification,[],[f69]) ).
thf(f75,plain,
! [X2: g,X3: g,X1: g] :
( ( ( sK0 @ X2 @ sK1 )
= X2 )
| ( $true
= ( ( sK0 @ ( sK5 @ X3 @ X1 ) @ X1 )
= X3 ) ) ),
inference(beta-eta_normalization,[],[f74]) ).
thf(f76,plain,
! [X2: g,X3: g,X1: g] :
( ( ( sK0 @ ( sK5 @ X3 @ X1 ) @ X1 )
= X3 )
| ( ( sK0 @ X2 @ sK1 )
= X2 ) ),
inference(equality_proxy_clausification,[],[f75]) ).
thf(f77,plain,
! [X1: g] :
( ( $true
= ( !! @ g
@ ^ [Y0: g] :
( ?? @ g
@ ^ [Y1: g] :
( ( sK0 @ Y0 @ Y1 )
= sK1 ) ) ) )
| ( ( ^ [Y0: g] :
( !! @ g
@ ^ [Y1: g] :
( ( ?? @ g
@ ^ [Y2: g] :
( ( sK0 @ Y0 @ Y2 )
= Y1 ) )
& ( ?? @ g
@ ^ [Y2: g] :
( ( sK0 @ Y2 @ Y0 )
= Y1 ) ) ) )
@ X1 )
= $true ) ),
inference(pi_proxy_clausification,[],[f42]) ).
thf(f78,plain,
! [X2: g,X1: g] :
( ( ( ^ [Y0: g] :
( ?? @ g
@ ^ [Y1: g] :
( ( sK0 @ Y0 @ Y1 )
= sK1 ) )
@ X2 )
= $true )
| ( ( ^ [Y0: g] :
( !! @ g
@ ^ [Y1: g] :
( ( ?? @ g
@ ^ [Y2: g] :
( ( sK0 @ Y0 @ Y2 )
= Y1 ) )
& ( ?? @ g
@ ^ [Y2: g] :
( ( sK0 @ Y2 @ Y0 )
= Y1 ) ) ) )
@ X1 )
= $true ) ),
inference(pi_proxy_clausification,[],[f77]) ).
thf(f79,plain,
! [X2: g,X1: g] :
( ( $true
= ( ?? @ g
@ ^ [Y0: g] :
( ( sK0 @ X2 @ Y0 )
= sK1 ) ) )
| ( $true
= ( !! @ g
@ ^ [Y0: g] :
( ( ?? @ g
@ ^ [Y1: g] :
( ( sK0 @ X1 @ Y1 )
= Y0 ) )
& ( ?? @ g
@ ^ [Y1: g] :
( ( sK0 @ Y1 @ X1 )
= Y0 ) ) ) ) ) ),
inference(beta-eta_normalization,[],[f78]) ).
thf(f80,plain,
! [X2: g,X1: g] :
( ( $true
= ( !! @ g
@ ^ [Y0: g] :
( ( ?? @ g
@ ^ [Y1: g] :
( ( sK0 @ X1 @ Y1 )
= Y0 ) )
& ( ?? @ g
@ ^ [Y1: g] :
( ( sK0 @ Y1 @ X1 )
= Y0 ) ) ) ) )
| ( $true
= ( ^ [Y0: g] :
( ( sK0 @ X2 @ Y0 )
= sK1 )
@ ( sK6 @ X2 ) ) ) ),
inference(sigma_proxy_clausification,[],[f79]) ).
thf(f81,plain,
! [X2: g,X3: g,X1: g] :
( ( $true
= ( ^ [Y0: g] :
( ( ?? @ g
@ ^ [Y1: g] :
( ( sK0 @ X1 @ Y1 )
= Y0 ) )
& ( ?? @ g
@ ^ [Y1: g] :
( ( sK0 @ Y1 @ X1 )
= Y0 ) ) )
@ X3 ) )
| ( $true
= ( ^ [Y0: g] :
( ( sK0 @ X2 @ Y0 )
= sK1 )
@ ( sK6 @ X2 ) ) ) ),
inference(pi_proxy_clausification,[],[f80]) ).
thf(f82,plain,
! [X2: g,X3: g,X1: g] :
( ( $true
= ( ( sK0 @ X2 @ ( sK6 @ X2 ) )
= sK1 ) )
| ( $true
= ( ( ?? @ g
@ ^ [Y0: g] :
( ( sK0 @ X1 @ Y0 )
= X3 ) )
& ( ?? @ g
@ ^ [Y0: g] :
( ( sK0 @ Y0 @ X1 )
= X3 ) ) ) ) ),
inference(beta-eta_normalization,[],[f81]) ).
thf(f83,plain,
! [X2: g,X3: g,X1: g] :
( ( $true
= ( ( ?? @ g
@ ^ [Y0: g] :
( ( sK0 @ X1 @ Y0 )
= X3 ) )
& ( ?? @ g
@ ^ [Y0: g] :
( ( sK0 @ Y0 @ X1 )
= X3 ) ) ) )
| ( sK1
= ( sK0 @ X2 @ ( sK6 @ X2 ) ) ) ),
inference(equality_proxy_clausification,[],[f82]) ).
thf(f84,plain,
! [X2: g,X3: g,X1: g] :
( ( $true
= ( ?? @ g
@ ^ [Y0: g] :
( ( sK0 @ Y0 @ X1 )
= X3 ) ) )
| ( sK1
= ( sK0 @ X2 @ ( sK6 @ X2 ) ) ) ),
inference(and_proxy_clausification,[],[f83]) ).
thf(f85,plain,
! [X2: g,X3: g,X1: g] :
( ( $true
= ( ?? @ g
@ ^ [Y0: g] :
( ( sK0 @ X1 @ Y0 )
= X3 ) ) )
| ( sK1
= ( sK0 @ X2 @ ( sK6 @ X2 ) ) ) ),
inference(and_proxy_clausification,[],[f83]) ).
thf(f86,plain,
! [X2: g,X3: g,X1: g] :
( ( sK1
= ( sK0 @ X2 @ ( sK6 @ X2 ) ) )
| ( $true
= ( ^ [Y0: g] :
( ( sK0 @ X1 @ Y0 )
= X3 )
@ ( sK7 @ X3 @ X1 ) ) ) ),
inference(sigma_proxy_clausification,[],[f85]) ).
thf(f87,plain,
! [X2: g,X3: g,X1: g] :
( ( sK1
= ( sK0 @ X2 @ ( sK6 @ X2 ) ) )
| ( $true
= ( ( sK0 @ X1 @ ( sK7 @ X3 @ X1 ) )
= X3 ) ) ),
inference(beta-eta_normalization,[],[f86]) ).
thf(f88,plain,
! [X2: g,X3: g,X1: g] :
( ( ( sK0 @ X1 @ ( sK7 @ X3 @ X1 ) )
= X3 )
| ( sK1
= ( sK0 @ X2 @ ( sK6 @ X2 ) ) ) ),
inference(equality_proxy_clausification,[],[f87]) ).
thf(f89,plain,
! [X2: g,X3: g,X1: g] :
( ( sK1
= ( sK0 @ X2 @ ( sK6 @ X2 ) ) )
| ( ( ^ [Y0: g] :
( ( sK0 @ Y0 @ X1 )
= X3 )
@ ( sK8 @ X3 @ X1 ) )
= $true ) ),
inference(sigma_proxy_clausification,[],[f84]) ).
thf(f90,plain,
! [X2: g,X3: g,X1: g] :
( ( sK1
= ( sK0 @ X2 @ ( sK6 @ X2 ) ) )
| ( $true
= ( ( sK0 @ ( sK8 @ X3 @ X1 ) @ X1 )
= X3 ) ) ),
inference(beta-eta_normalization,[],[f89]) ).
thf(f91,plain,
! [X2: g,X3: g,X1: g] :
( ( ( sK0 @ ( sK8 @ X3 @ X1 ) @ X1 )
= X3 )
| ( sK1
= ( sK0 @ X2 @ ( sK6 @ X2 ) ) ) ),
inference(equality_proxy_clausification,[],[f90]) ).
thf(f93,plain,
( ( $true
= ( ( !! @ g
@ ^ [Y0: g] :
( !! @ g
@ ^ [Y1: g] :
( !! @ g
@ ^ [Y2: g] :
( ( sK0 @ ( sK0 @ Y2 @ Y0 ) @ Y1 )
= ( sK0 @ Y2 @ ( sK0 @ Y0 @ Y1 ) ) ) ) ) )
& ( !! @ g
@ ^ [Y0: g] :
( ( sK0 @ Y0 @ sK1 )
= Y0 ) ) ) )
| ( $true
= ( !! @ g
@ ^ [Y0: g] :
( !! @ g
@ ^ [Y1: g] :
( !! @ g
@ ^ [Y2: g] :
( ( sK0 @ ( sK0 @ Y2 @ Y0 ) @ Y1 )
= ( sK0 @ Y2 @ ( sK0 @ Y0 @ Y1 ) ) ) ) ) ) ) ),
inference(and_proxy_clausification,[],[f40]) ).
thf(f95,plain,
( ( $true
= ( !! @ g
@ ^ [Y0: g] :
( !! @ g
@ ^ [Y1: g] :
( !! @ g
@ ^ [Y2: g] :
( ( sK0 @ ( sK0 @ Y2 @ Y0 ) @ Y1 )
= ( sK0 @ Y2 @ ( sK0 @ Y0 @ Y1 ) ) ) ) ) ) )
| ( $true
= ( !! @ g
@ ^ [Y0: g] :
( !! @ g
@ ^ [Y1: g] :
( !! @ g
@ ^ [Y2: g] :
( ( sK0 @ ( sK0 @ Y2 @ Y0 ) @ Y1 )
= ( sK0 @ Y2 @ ( sK0 @ Y0 @ Y1 ) ) ) ) ) ) ) ),
inference(and_proxy_clausification,[],[f93]) ).
thf(f96,plain,
! [X1: g] :
( ( $true
= ( ^ [Y0: g] :
( !! @ g
@ ^ [Y1: g] :
( !! @ g
@ ^ [Y2: g] :
( ( sK0 @ ( sK0 @ Y2 @ Y0 ) @ Y1 )
= ( sK0 @ Y2 @ ( sK0 @ Y0 @ Y1 ) ) ) ) )
@ X1 ) )
| ( $true
= ( ^ [Y0: g] :
( !! @ g
@ ^ [Y1: g] :
( !! @ g
@ ^ [Y2: g] :
( ( sK0 @ ( sK0 @ Y2 @ Y0 ) @ Y1 )
= ( sK0 @ Y2 @ ( sK0 @ Y0 @ Y1 ) ) ) ) )
@ X1 ) ) ),
inference(pi_proxy_clausification,[],[f95]) ).
thf(f97,plain,
! [X1: g] :
( $true
= ( ^ [Y0: g] :
( !! @ g
@ ^ [Y1: g] :
( !! @ g
@ ^ [Y2: g] :
( ( sK0 @ ( sK0 @ Y2 @ Y0 ) @ Y1 )
= ( sK0 @ Y2 @ ( sK0 @ Y0 @ Y1 ) ) ) ) )
@ X1 ) ),
inference(duplicate_literal_removal,[],[f96]) ).
thf(f98,plain,
! [X1: g] :
( $true
= ( !! @ g
@ ^ [Y0: g] :
( !! @ g
@ ^ [Y1: g] :
( ( sK0 @ ( sK0 @ Y1 @ X1 ) @ Y0 )
= ( sK0 @ Y1 @ ( sK0 @ X1 @ Y0 ) ) ) ) ) ),
inference(beta-eta_normalization,[],[f97]) ).
thf(f99,plain,
! [X2: g,X1: g] :
( ( ^ [Y0: g] :
( !! @ g
@ ^ [Y1: g] :
( ( sK0 @ ( sK0 @ Y1 @ X1 ) @ Y0 )
= ( sK0 @ Y1 @ ( sK0 @ X1 @ Y0 ) ) ) )
@ X2 )
= $true ),
inference(pi_proxy_clausification,[],[f98]) ).
thf(f100,plain,
! [X2: g,X1: g] :
( $true
= ( !! @ g
@ ^ [Y0: g] :
( ( sK0 @ ( sK0 @ Y0 @ X1 ) @ X2 )
= ( sK0 @ Y0 @ ( sK0 @ X1 @ X2 ) ) ) ) ),
inference(beta-eta_normalization,[],[f99]) ).
thf(f101,plain,
! [X2: g,X3: g,X1: g] :
( $true
= ( ^ [Y0: g] :
( ( sK0 @ ( sK0 @ Y0 @ X1 ) @ X2 )
= ( sK0 @ Y0 @ ( sK0 @ X1 @ X2 ) ) )
@ X3 ) ),
inference(pi_proxy_clausification,[],[f100]) ).
thf(f102,plain,
! [X2: g,X3: g,X1: g] :
( $true
= ( ( sK0 @ ( sK0 @ X3 @ X1 ) @ X2 )
= ( sK0 @ X3 @ ( sK0 @ X1 @ X2 ) ) ) ),
inference(beta-eta_normalization,[],[f101]) ).
thf(f103,plain,
! [X2: g,X3: g,X1: g] :
( ( sK0 @ ( sK0 @ X3 @ X1 ) @ X2 )
= ( sK0 @ X3 @ ( sK0 @ X1 @ X2 ) ) ),
inference(equality_proxy_clausification,[],[f102]) ).
thf(f123,plain,
! [X1: g] :
( ( $true
!= ( ( !! @ g
@ ^ [Y0: g] :
( !! @ g
@ ^ [Y1: g] :
( !! @ g
@ ^ [Y2: g] :
( ( sK0 @ ( sK0 @ Y2 @ Y0 ) @ Y1 )
= ( sK0 @ Y2 @ ( sK0 @ Y0 @ Y1 ) ) ) ) ) )
& ( !! @ g
@ ^ [Y0: g] :
( ( sK0 @ Y0 @ X1 )
= Y0 ) )
& ( !! @ g
@ ^ [Y0: g] :
( ?? @ g
@ ^ [Y1: g] :
( ( sK0 @ Y0 @ Y1 )
= X1 ) ) ) ) )
| ( $true
!= ( ( !! @ g
@ ^ [Y0: g] :
( !! @ g
@ ^ [Y1: g] :
( ( ?? @ g
@ ^ [Y2: g] :
( ( sK0 @ Y0 @ Y2 )
= Y1 ) )
& ( ?? @ g
@ ^ [Y2: g] :
( ( sK0 @ Y2 @ Y0 )
= Y1 ) ) ) ) )
& ( !! @ g
@ ^ [Y0: g] :
( !! @ g
@ ^ [Y1: g] :
( !! @ g
@ ^ [Y2: g] :
( ( sK0 @ ( sK0 @ Y2 @ Y0 ) @ Y1 )
= ( sK0 @ Y2 @ ( sK0 @ Y0 @ Y1 ) ) ) ) ) ) ) ) ),
inference(beta-eta_normalization,[],[f37]) ).
thf(f124,plain,
! [X1: g] :
( ( ( !! @ g
@ ^ [Y0: g] :
( ?? @ g
@ ^ [Y1: g] :
( ( sK0 @ Y0 @ Y1 )
= X1 ) ) )
= $false )
| ( ( ( !! @ g
@ ^ [Y0: g] :
( !! @ g
@ ^ [Y1: g] :
( !! @ g
@ ^ [Y2: g] :
( ( sK0 @ ( sK0 @ Y2 @ Y0 ) @ Y1 )
= ( sK0 @ Y2 @ ( sK0 @ Y0 @ Y1 ) ) ) ) ) )
& ( !! @ g
@ ^ [Y0: g] :
( ( sK0 @ Y0 @ X1 )
= Y0 ) ) )
= $false )
| ( $true
!= ( ( !! @ g
@ ^ [Y0: g] :
( !! @ g
@ ^ [Y1: g] :
( ( ?? @ g
@ ^ [Y2: g] :
( ( sK0 @ Y0 @ Y2 )
= Y1 ) )
& ( ?? @ g
@ ^ [Y2: g] :
( ( sK0 @ Y2 @ Y0 )
= Y1 ) ) ) ) )
& ( !! @ g
@ ^ [Y0: g] :
( !! @ g
@ ^ [Y1: g] :
( !! @ g
@ ^ [Y2: g] :
( ( sK0 @ ( sK0 @ Y2 @ Y0 ) @ Y1 )
= ( sK0 @ Y2 @ ( sK0 @ Y0 @ Y1 ) ) ) ) ) ) ) ) ),
inference(and_proxy_clausification,[],[f123]) ).
thf(f125,plain,
! [X1: g] :
( ( $true
!= ( ( !! @ g
@ ^ [Y0: g] :
( !! @ g
@ ^ [Y1: g] :
( ( ?? @ g
@ ^ [Y2: g] :
( ( sK0 @ Y0 @ Y2 )
= Y1 ) )
& ( ?? @ g
@ ^ [Y2: g] :
( ( sK0 @ Y2 @ Y0 )
= Y1 ) ) ) ) )
& ( !! @ g
@ ^ [Y0: g] :
( !! @ g
@ ^ [Y1: g] :
( !! @ g
@ ^ [Y2: g] :
( ( sK0 @ ( sK0 @ Y2 @ Y0 ) @ Y1 )
= ( sK0 @ Y2 @ ( sK0 @ Y0 @ Y1 ) ) ) ) ) ) ) )
| ( ( ^ [Y0: g] :
( ?? @ g
@ ^ [Y1: g] :
( ( sK0 @ Y0 @ Y1 )
= X1 ) )
@ ( sK10 @ X1 ) )
= $false )
| ( ( ( !! @ g
@ ^ [Y0: g] :
( !! @ g
@ ^ [Y1: g] :
( !! @ g
@ ^ [Y2: g] :
( ( sK0 @ ( sK0 @ Y2 @ Y0 ) @ Y1 )
= ( sK0 @ Y2 @ ( sK0 @ Y0 @ Y1 ) ) ) ) ) )
& ( !! @ g
@ ^ [Y0: g] :
( ( sK0 @ Y0 @ X1 )
= Y0 ) ) )
= $false ) ),
inference(sigma_proxy_clausification,[],[f124]) ).
thf(f126,plain,
! [X1: g] :
( ( ( ^ [Y0: g] :
( ?? @ g
@ ^ [Y1: g] :
( ( sK0 @ Y0 @ Y1 )
= X1 ) )
@ ( sK10 @ X1 ) )
= $false )
| ( $false
= ( !! @ g
@ ^ [Y0: g] :
( !! @ g
@ ^ [Y1: g] :
( ( ?? @ g
@ ^ [Y2: g] :
( ( sK0 @ Y0 @ Y2 )
= Y1 ) )
& ( ?? @ g
@ ^ [Y2: g] :
( ( sK0 @ Y2 @ Y0 )
= Y1 ) ) ) ) ) )
| ( ( !! @ g
@ ^ [Y0: g] :
( !! @ g
@ ^ [Y1: g] :
( !! @ g
@ ^ [Y2: g] :
( ( sK0 @ ( sK0 @ Y2 @ Y0 ) @ Y1 )
= ( sK0 @ Y2 @ ( sK0 @ Y0 @ Y1 ) ) ) ) ) )
= $false )
| ( ( ( !! @ g
@ ^ [Y0: g] :
( !! @ g
@ ^ [Y1: g] :
( !! @ g
@ ^ [Y2: g] :
( ( sK0 @ ( sK0 @ Y2 @ Y0 ) @ Y1 )
= ( sK0 @ Y2 @ ( sK0 @ Y0 @ Y1 ) ) ) ) ) )
& ( !! @ g
@ ^ [Y0: g] :
( ( sK0 @ Y0 @ X1 )
= Y0 ) ) )
= $false ) ),
inference(and_proxy_clausification,[],[f125]) ).
thf(f127,plain,
! [X1: g] :
( ( ( ^ [Y0: g] :
( !! @ g
@ ^ [Y1: g] :
( ( ?? @ g
@ ^ [Y2: g] :
( ( sK0 @ Y0 @ Y2 )
= Y1 ) )
& ( ?? @ g
@ ^ [Y2: g] :
( ( sK0 @ Y2 @ Y0 )
= Y1 ) ) ) )
@ sK11 )
= $false )
| ( ( ( !! @ g
@ ^ [Y0: g] :
( !! @ g
@ ^ [Y1: g] :
( !! @ g
@ ^ [Y2: g] :
( ( sK0 @ ( sK0 @ Y2 @ Y0 ) @ Y1 )
= ( sK0 @ Y2 @ ( sK0 @ Y0 @ Y1 ) ) ) ) ) )
& ( !! @ g
@ ^ [Y0: g] :
( ( sK0 @ Y0 @ X1 )
= Y0 ) ) )
= $false )
| ( ( ^ [Y0: g] :
( ?? @ g
@ ^ [Y1: g] :
( ( sK0 @ Y0 @ Y1 )
= X1 ) )
@ ( sK10 @ X1 ) )
= $false )
| ( ( !! @ g
@ ^ [Y0: g] :
( !! @ g
@ ^ [Y1: g] :
( !! @ g
@ ^ [Y2: g] :
( ( sK0 @ ( sK0 @ Y2 @ Y0 ) @ Y1 )
= ( sK0 @ Y2 @ ( sK0 @ Y0 @ Y1 ) ) ) ) ) )
= $false ) ),
inference(sigma_proxy_clausification,[],[f126]) ).
thf(f128,plain,
! [X1: g] :
( ( ( ^ [Y0: g] :
( ?? @ g
@ ^ [Y1: g] :
( ( sK0 @ Y0 @ Y1 )
= X1 ) )
@ ( sK10 @ X1 ) )
= $false )
| ( ( ^ [Y0: g] :
( !! @ g
@ ^ [Y1: g] :
( ( ?? @ g
@ ^ [Y2: g] :
( ( sK0 @ Y0 @ Y2 )
= Y1 ) )
& ( ?? @ g
@ ^ [Y2: g] :
( ( sK0 @ Y2 @ Y0 )
= Y1 ) ) ) )
@ sK11 )
= $false )
| ( ( !! @ g
@ ^ [Y0: g] :
( !! @ g
@ ^ [Y1: g] :
( !! @ g
@ ^ [Y2: g] :
( ( sK0 @ ( sK0 @ Y2 @ Y0 ) @ Y1 )
= ( sK0 @ Y2 @ ( sK0 @ Y0 @ Y1 ) ) ) ) ) )
= $false )
| ( ( !! @ g
@ ^ [Y0: g] :
( ( sK0 @ Y0 @ X1 )
= Y0 ) )
= $false )
| ( ( !! @ g
@ ^ [Y0: g] :
( !! @ g
@ ^ [Y1: g] :
( !! @ g
@ ^ [Y2: g] :
( ( sK0 @ ( sK0 @ Y2 @ Y0 ) @ Y1 )
= ( sK0 @ Y2 @ ( sK0 @ Y0 @ Y1 ) ) ) ) ) )
= $false ) ),
inference(and_proxy_clausification,[],[f127]) ).
thf(f129,plain,
! [X1: g] :
( ( ( ^ [Y0: g] :
( ?? @ g
@ ^ [Y1: g] :
( ( sK0 @ Y0 @ Y1 )
= X1 ) )
@ ( sK10 @ X1 ) )
= $false )
| ( ( !! @ g
@ ^ [Y0: g] :
( ( sK0 @ Y0 @ X1 )
= Y0 ) )
= $false )
| ( ( ^ [Y0: g] :
( !! @ g
@ ^ [Y1: g] :
( ( ?? @ g
@ ^ [Y2: g] :
( ( sK0 @ Y0 @ Y2 )
= Y1 ) )
& ( ?? @ g
@ ^ [Y2: g] :
( ( sK0 @ Y2 @ Y0 )
= Y1 ) ) ) )
@ sK11 )
= $false )
| ( ( ^ [Y0: g] :
( !! @ g
@ ^ [Y1: g] :
( !! @ g
@ ^ [Y2: g] :
( ( sK0 @ ( sK0 @ Y2 @ Y0 ) @ Y1 )
= ( sK0 @ Y2 @ ( sK0 @ Y0 @ Y1 ) ) ) ) )
@ sK12 )
= $false )
| ( ( ^ [Y0: g] :
( !! @ g
@ ^ [Y1: g] :
( !! @ g
@ ^ [Y2: g] :
( ( sK0 @ ( sK0 @ Y2 @ Y0 ) @ Y1 )
= ( sK0 @ Y2 @ ( sK0 @ Y0 @ Y1 ) ) ) ) )
@ sK12 )
= $false ) ),
inference(sigma_proxy_clausification,[],[f128]) ).
thf(f130,plain,
! [X1: g] :
( ( ( ^ [Y0: g] :
( !! @ g
@ ^ [Y1: g] :
( ( ?? @ g
@ ^ [Y2: g] :
( ( sK0 @ Y0 @ Y2 )
= Y1 ) )
& ( ?? @ g
@ ^ [Y2: g] :
( ( sK0 @ Y2 @ Y0 )
= Y1 ) ) ) )
@ sK11 )
= $false )
| ( ( ^ [Y0: g] :
( ( sK0 @ Y0 @ X1 )
= Y0 )
@ ( sK13 @ X1 ) )
= $false )
| ( ( ^ [Y0: g] :
( ?? @ g
@ ^ [Y1: g] :
( ( sK0 @ Y0 @ Y1 )
= X1 ) )
@ ( sK10 @ X1 ) )
= $false )
| ( ( ^ [Y0: g] :
( !! @ g
@ ^ [Y1: g] :
( !! @ g
@ ^ [Y2: g] :
( ( sK0 @ ( sK0 @ Y2 @ Y0 ) @ Y1 )
= ( sK0 @ Y2 @ ( sK0 @ Y0 @ Y1 ) ) ) ) )
@ sK12 )
= $false )
| ( ( ^ [Y0: g] :
( !! @ g
@ ^ [Y1: g] :
( !! @ g
@ ^ [Y2: g] :
( ( sK0 @ ( sK0 @ Y2 @ Y0 ) @ Y1 )
= ( sK0 @ Y2 @ ( sK0 @ Y0 @ Y1 ) ) ) ) )
@ sK12 )
= $false ) ),
inference(sigma_proxy_clausification,[],[f129]) ).
thf(f131,plain,
! [X1: g] :
( ( ( ^ [Y0: g] :
( ?? @ g
@ ^ [Y1: g] :
( ( sK0 @ Y0 @ Y1 )
= X1 ) )
@ ( sK10 @ X1 ) )
= $false )
| ( ( ^ [Y0: g] :
( ( sK0 @ Y0 @ X1 )
= Y0 )
@ ( sK13 @ X1 ) )
= $false )
| ( ( ^ [Y0: g] :
( !! @ g
@ ^ [Y1: g] :
( !! @ g
@ ^ [Y2: g] :
( ( sK0 @ ( sK0 @ Y2 @ Y0 ) @ Y1 )
= ( sK0 @ Y2 @ ( sK0 @ Y0 @ Y1 ) ) ) ) )
@ sK12 )
= $false )
| ( ( ^ [Y0: g] :
( !! @ g
@ ^ [Y1: g] :
( ( ?? @ g
@ ^ [Y2: g] :
( ( sK0 @ Y0 @ Y2 )
= Y1 ) )
& ( ?? @ g
@ ^ [Y2: g] :
( ( sK0 @ Y2 @ Y0 )
= Y1 ) ) ) )
@ sK11 )
= $false ) ),
inference(duplicate_literal_removal,[],[f130]) ).
thf(f132,plain,
! [X1: g] :
( ( ( ?? @ g
@ ^ [Y0: g] :
( ( sK0 @ ( sK10 @ X1 ) @ Y0 )
= X1 ) )
= $false )
| ( ( !! @ g
@ ^ [Y0: g] :
( !! @ g
@ ^ [Y1: g] :
( ( sK0 @ ( sK0 @ Y1 @ sK12 ) @ Y0 )
= ( sK0 @ Y1 @ ( sK0 @ sK12 @ Y0 ) ) ) ) )
= $false )
| ( ( !! @ g
@ ^ [Y0: g] :
( ( ?? @ g
@ ^ [Y1: g] :
( ( sK0 @ sK11 @ Y1 )
= Y0 ) )
& ( ?? @ g
@ ^ [Y1: g] :
( ( sK0 @ Y1 @ sK11 )
= Y0 ) ) ) )
= $false )
| ( ( ( sK0 @ ( sK13 @ X1 ) @ X1 )
= ( sK13 @ X1 ) )
= $false ) ),
inference(beta-eta_normalization,[],[f131]) ).
thf(f133,plain,
! [X2: g,X1: g] :
( ( ( ( sK0 @ ( sK13 @ X1 ) @ X1 )
= ( sK13 @ X1 ) )
= $false )
| ( ( ^ [Y0: g] :
( ( sK0 @ ( sK10 @ X1 ) @ Y0 )
= X1 )
@ X2 )
= $false )
| ( ( !! @ g
@ ^ [Y0: g] :
( !! @ g
@ ^ [Y1: g] :
( ( sK0 @ ( sK0 @ Y1 @ sK12 ) @ Y0 )
= ( sK0 @ Y1 @ ( sK0 @ sK12 @ Y0 ) ) ) ) )
= $false )
| ( ( !! @ g
@ ^ [Y0: g] :
( ( ?? @ g
@ ^ [Y1: g] :
( ( sK0 @ sK11 @ Y1 )
= Y0 ) )
& ( ?? @ g
@ ^ [Y1: g] :
( ( sK0 @ Y1 @ sK11 )
= Y0 ) ) ) )
= $false ) ),
inference(pi_proxy_clausification,[],[f132]) ).
thf(f134,plain,
! [X2: g,X1: g] :
( ( ( !! @ g
@ ^ [Y0: g] :
( ( ?? @ g
@ ^ [Y1: g] :
( ( sK0 @ sK11 @ Y1 )
= Y0 ) )
& ( ?? @ g
@ ^ [Y1: g] :
( ( sK0 @ Y1 @ sK11 )
= Y0 ) ) ) )
= $false )
| ( ( sK13 @ X1 )
!= ( sK0 @ ( sK13 @ X1 ) @ X1 ) )
| ( ( !! @ g
@ ^ [Y0: g] :
( !! @ g
@ ^ [Y1: g] :
( ( sK0 @ ( sK0 @ Y1 @ sK12 ) @ Y0 )
= ( sK0 @ Y1 @ ( sK0 @ sK12 @ Y0 ) ) ) ) )
= $false )
| ( ( ^ [Y0: g] :
( ( sK0 @ ( sK10 @ X1 ) @ Y0 )
= X1 )
@ X2 )
= $false ) ),
inference(equality_proxy_clausification,[],[f133]) ).
thf(f135,plain,
! [X2: g,X1: g] :
( ( ( ^ [Y0: g] :
( ( sK0 @ ( sK10 @ X1 ) @ Y0 )
= X1 )
@ X2 )
= $false )
| ( ( sK13 @ X1 )
!= ( sK0 @ ( sK13 @ X1 ) @ X1 ) )
| ( ( ^ [Y0: g] :
( ( ?? @ g
@ ^ [Y1: g] :
( ( sK0 @ sK11 @ Y1 )
= Y0 ) )
& ( ?? @ g
@ ^ [Y1: g] :
( ( sK0 @ Y1 @ sK11 )
= Y0 ) ) )
@ sK14 )
= $false )
| ( ( !! @ g
@ ^ [Y0: g] :
( !! @ g
@ ^ [Y1: g] :
( ( sK0 @ ( sK0 @ Y1 @ sK12 ) @ Y0 )
= ( sK0 @ Y1 @ ( sK0 @ sK12 @ Y0 ) ) ) ) )
= $false ) ),
inference(sigma_proxy_clausification,[],[f134]) ).
thf(f136,plain,
! [X2: g,X1: g] :
( ( ( ^ [Y0: g] :
( !! @ g
@ ^ [Y1: g] :
( ( sK0 @ ( sK0 @ Y1 @ sK12 ) @ Y0 )
= ( sK0 @ Y1 @ ( sK0 @ sK12 @ Y0 ) ) ) )
@ sK15 )
= $false )
| ( ( ^ [Y0: g] :
( ( ?? @ g
@ ^ [Y1: g] :
( ( sK0 @ sK11 @ Y1 )
= Y0 ) )
& ( ?? @ g
@ ^ [Y1: g] :
( ( sK0 @ Y1 @ sK11 )
= Y0 ) ) )
@ sK14 )
= $false )
| ( ( ^ [Y0: g] :
( ( sK0 @ ( sK10 @ X1 ) @ Y0 )
= X1 )
@ X2 )
= $false )
| ( ( sK13 @ X1 )
!= ( sK0 @ ( sK13 @ X1 ) @ X1 ) ) ),
inference(sigma_proxy_clausification,[],[f135]) ).
thf(f137,plain,
! [X2: g,X1: g] :
( ( $false
= ( ( ?? @ g
@ ^ [Y0: g] :
( ( sK0 @ sK11 @ Y0 )
= sK14 ) )
& ( ?? @ g
@ ^ [Y0: g] :
( ( sK0 @ Y0 @ sK11 )
= sK14 ) ) ) )
| ( ( !! @ g
@ ^ [Y0: g] :
( ( sK0 @ ( sK0 @ Y0 @ sK12 ) @ sK15 )
= ( sK0 @ Y0 @ ( sK0 @ sK12 @ sK15 ) ) ) )
= $false )
| ( ( sK13 @ X1 )
!= ( sK0 @ ( sK13 @ X1 ) @ X1 ) )
| ( ( ( sK0 @ ( sK10 @ X1 ) @ X2 )
= X1 )
= $false ) ),
inference(beta-eta_normalization,[],[f136]) ).
thf(f138,plain,
! [X2: g,X1: g] :
( ( ( !! @ g
@ ^ [Y0: g] :
( ( sK0 @ ( sK0 @ Y0 @ sK12 ) @ sK15 )
= ( sK0 @ Y0 @ ( sK0 @ sK12 @ sK15 ) ) ) )
= $false )
| ( ( sK13 @ X1 )
!= ( sK0 @ ( sK13 @ X1 ) @ X1 ) )
| ( ( ?? @ g
@ ^ [Y0: g] :
( ( sK0 @ sK11 @ Y0 )
= sK14 ) )
= $false )
| ( ( ( sK0 @ ( sK10 @ X1 ) @ X2 )
= X1 )
= $false )
| ( ( ?? @ g
@ ^ [Y0: g] :
( ( sK0 @ Y0 @ sK11 )
= sK14 ) )
= $false ) ),
inference(and_proxy_clausification,[],[f137]) ).
thf(f139,plain,
! [X2: g,X1: g] :
( ( ( ?? @ g
@ ^ [Y0: g] :
( ( sK0 @ sK11 @ Y0 )
= sK14 ) )
= $false )
| ( ( ?? @ g
@ ^ [Y0: g] :
( ( sK0 @ Y0 @ sK11 )
= sK14 ) )
= $false )
| ( ( ( sK0 @ ( sK10 @ X1 ) @ X2 )
= X1 )
= $false )
| ( ( sK13 @ X1 )
!= ( sK0 @ ( sK13 @ X1 ) @ X1 ) )
| ( ( ^ [Y0: g] :
( ( sK0 @ ( sK0 @ Y0 @ sK12 ) @ sK15 )
= ( sK0 @ Y0 @ ( sK0 @ sK12 @ sK15 ) ) )
@ sK16 )
= $false ) ),
inference(sigma_proxy_clausification,[],[f138]) ).
thf(f140,plain,
! [X2: g,X3: g,X1: g] :
( ( ( ?? @ g
@ ^ [Y0: g] :
( ( sK0 @ Y0 @ sK11 )
= sK14 ) )
= $false )
| ( ( ^ [Y0: g] :
( ( sK0 @ sK11 @ Y0 )
= sK14 )
@ X3 )
= $false )
| ( ( ( sK0 @ ( sK10 @ X1 ) @ X2 )
= X1 )
= $false )
| ( ( ^ [Y0: g] :
( ( sK0 @ ( sK0 @ Y0 @ sK12 ) @ sK15 )
= ( sK0 @ Y0 @ ( sK0 @ sK12 @ sK15 ) ) )
@ sK16 )
= $false )
| ( ( sK13 @ X1 )
!= ( sK0 @ ( sK13 @ X1 ) @ X1 ) ) ),
inference(pi_proxy_clausification,[],[f139]) ).
thf(f141,plain,
! [X2: g,X3: g,X1: g,X4: g] :
( ( ( sK13 @ X1 )
!= ( sK0 @ ( sK13 @ X1 ) @ X1 ) )
| ( ( ^ [Y0: g] :
( ( sK0 @ Y0 @ sK11 )
= sK14 )
@ X4 )
= $false )
| ( ( ^ [Y0: g] :
( ( sK0 @ sK11 @ Y0 )
= sK14 )
@ X3 )
= $false )
| ( ( ^ [Y0: g] :
( ( sK0 @ ( sK0 @ Y0 @ sK12 ) @ sK15 )
= ( sK0 @ Y0 @ ( sK0 @ sK12 @ sK15 ) ) )
@ sK16 )
= $false )
| ( ( ( sK0 @ ( sK10 @ X1 ) @ X2 )
= X1 )
= $false ) ),
inference(pi_proxy_clausification,[],[f140]) ).
thf(f142,plain,
! [X2: g,X3: g,X1: g,X4: g] :
( ( ( sK13 @ X1 )
!= ( sK0 @ ( sK13 @ X1 ) @ X1 ) )
| ( ( ^ [Y0: g] :
( ( sK0 @ sK11 @ Y0 )
= sK14 )
@ X3 )
= $false )
| ( ( ^ [Y0: g] :
( ( sK0 @ ( sK0 @ Y0 @ sK12 ) @ sK15 )
= ( sK0 @ Y0 @ ( sK0 @ sK12 @ sK15 ) ) )
@ sK16 )
= $false )
| ( ( ^ [Y0: g] :
( ( sK0 @ Y0 @ sK11 )
= sK14 )
@ X4 )
= $false )
| ( ( sK0 @ ( sK10 @ X1 ) @ X2 )
!= X1 ) ),
inference(equality_proxy_clausification,[],[f141]) ).
thf(f143,plain,
! [X2: g,X3: g,X1: g,X4: g] :
( ( ( ( sK0 @ sK11 @ X3 )
= sK14 )
= $false )
| ( ( ( sK0 @ X4 @ sK11 )
= sK14 )
= $false )
| ( $false
= ( ( sK0 @ ( sK0 @ sK16 @ sK12 ) @ sK15 )
= ( sK0 @ sK16 @ ( sK0 @ sK12 @ sK15 ) ) ) )
| ( ( sK13 @ X1 )
!= ( sK0 @ ( sK13 @ X1 ) @ X1 ) )
| ( ( sK0 @ ( sK10 @ X1 ) @ X2 )
!= X1 ) ),
inference(beta-eta_normalization,[],[f142]) ).
thf(f144,plain,
! [X2: g,X3: g,X1: g,X4: g] :
( ( ( sK0 @ sK11 @ X3 )
!= sK14 )
| ( ( sK13 @ X1 )
!= ( sK0 @ ( sK13 @ X1 ) @ X1 ) )
| ( ( sK0 @ ( sK10 @ X1 ) @ X2 )
!= X1 )
| ( $false
= ( ( sK0 @ ( sK0 @ sK16 @ sK12 ) @ sK15 )
= ( sK0 @ sK16 @ ( sK0 @ sK12 @ sK15 ) ) ) )
| ( ( ( sK0 @ X4 @ sK11 )
= sK14 )
= $false ) ),
inference(equality_proxy_clausification,[],[f143]) ).
thf(f145,plain,
! [X2: g,X3: g,X1: g,X4: g] :
( ( ( sK0 @ sK16 @ ( sK0 @ sK12 @ sK15 ) )
!= ( sK0 @ ( sK0 @ sK16 @ sK12 ) @ sK15 ) )
| ( ( sK0 @ sK11 @ X3 )
!= sK14 )
| ( ( ( sK0 @ X4 @ sK11 )
= sK14 )
= $false )
| ( ( sK0 @ ( sK10 @ X1 ) @ X2 )
!= X1 )
| ( ( sK13 @ X1 )
!= ( sK0 @ ( sK13 @ X1 ) @ X1 ) ) ),
inference(equality_proxy_clausification,[],[f144]) ).
thf(f146,plain,
! [X2: g,X3: g,X1: g,X4: g] :
( ( ( sK0 @ sK16 @ ( sK0 @ sK12 @ sK15 ) )
!= ( sK0 @ ( sK0 @ sK16 @ sK12 ) @ sK15 ) )
| ( sK14
!= ( sK0 @ X4 @ sK11 ) )
| ( ( sK13 @ X1 )
!= ( sK0 @ ( sK13 @ X1 ) @ X1 ) )
| ( ( sK0 @ sK11 @ X3 )
!= sK14 )
| ( ( sK0 @ ( sK10 @ X1 ) @ X2 )
!= X1 ) ),
inference(equality_proxy_clausification,[],[f145]) ).
thf(f148,definition,
( spl17_1
<=> ! [X4: g,X5: g,X2: g] :
( ( sK0 @ ( sK0 @ X5 @ X2 ) @ X4 )
= ( sK0 @ X5 @ ( sK0 @ X2 @ X4 ) ) ) ),
introduced(definition,[new_symbols(definition,[spl17_1])],[avatar_definition]) ).
thf(f149,plain,
( ! [X2: g,X4: g,X5: g] :
( ( sK0 @ ( sK0 @ X5 @ X2 ) @ X4 )
= ( sK0 @ X5 @ ( sK0 @ X2 @ X4 ) ) )
| ~ spl17_1 ),
inference(avatar_component_clause,[],[f148]) ).
thf(f159,definition,
( spl17_4
<=> ! [X2: g] :
( ( sK0 @ X2 @ sK1 )
= X2 ) ),
introduced(definition,[new_symbols(definition,[spl17_4])],[avatar_definition]) ).
thf(f160,plain,
( ! [X2: g] :
( ( sK0 @ X2 @ sK1 )
= X2 )
| ~ spl17_4 ),
inference(avatar_component_clause,[],[f159]) ).
thf(f162,definition,
( spl17_5
<=> ! [X1: g,X3: g] :
( ( sK0 @ X1 @ ( sK4 @ X3 @ X1 ) )
= X3 ) ),
introduced(definition,[new_symbols(definition,[spl17_5])],[avatar_definition]) ).
thf(f163,plain,
( ! [X3: g,X1: g] :
( ( sK0 @ X1 @ ( sK4 @ X3 @ X1 ) )
= X3 )
| ~ spl17_5 ),
inference(avatar_component_clause,[],[f162]) ).
thf(f164,plain,
( spl17_4
| spl17_5 ),
inference(avatar_split_clause,[],[f73,f162,f159]) ).
thf(f166,definition,
( spl17_6
<=> ! [X1: g,X3: g] :
( ( sK0 @ ( sK5 @ X3 @ X1 ) @ X1 )
= X3 ) ),
introduced(definition,[new_symbols(definition,[spl17_6])],[avatar_definition]) ).
thf(f167,plain,
( ! [X3: g,X1: g] :
( ( sK0 @ ( sK5 @ X3 @ X1 ) @ X1 )
= X3 )
| ~ spl17_6 ),
inference(avatar_component_clause,[],[f166]) ).
thf(f168,plain,
( spl17_4
| spl17_6 ),
inference(avatar_split_clause,[],[f76,f166,f159]) ).
thf(f170,definition,
( spl17_7
<=> ! [X1: g,X3: g] :
( ( sK0 @ X1 @ ( sK7 @ X3 @ X1 ) )
= X3 ) ),
introduced(definition,[new_symbols(definition,[spl17_7])],[avatar_definition]) ).
thf(f171,plain,
( ! [X3: g,X1: g] :
( ( sK0 @ X1 @ ( sK7 @ X3 @ X1 ) )
= X3 )
| ~ spl17_7 ),
inference(avatar_component_clause,[],[f170]) ).
thf(f173,definition,
( spl17_8
<=> ! [X2: g] :
( sK1
= ( sK0 @ X2 @ ( sK6 @ X2 ) ) ) ),
introduced(definition,[new_symbols(definition,[spl17_8])],[avatar_definition]) ).
thf(f174,plain,
( ! [X2: g] :
( sK1
= ( sK0 @ X2 @ ( sK6 @ X2 ) ) )
| ~ spl17_8 ),
inference(avatar_component_clause,[],[f173]) ).
thf(f175,plain,
( spl17_7
| spl17_8 ),
inference(avatar_split_clause,[],[f88,f173,f170]) ).
thf(f177,definition,
( spl17_9
<=> ! [X1: g,X3: g] :
( ( sK0 @ ( sK8 @ X3 @ X1 ) @ X1 )
= X3 ) ),
introduced(definition,[new_symbols(definition,[spl17_9])],[avatar_definition]) ).
thf(f178,plain,
( ! [X3: g,X1: g] :
( ( sK0 @ ( sK8 @ X3 @ X1 ) @ X1 )
= X3 )
| ~ spl17_9 ),
inference(avatar_component_clause,[],[f177]) ).
thf(f179,plain,
( spl17_9
| spl17_8 ),
inference(avatar_split_clause,[],[f91,f173,f177]) ).
thf(f180,plain,
spl17_1,
inference(avatar_split_clause,[],[f103,f148]) ).
thf(f187,definition,
( spl17_11
<=> ! [X4: g] :
( sK14
!= ( sK0 @ X4 @ sK11 ) ) ),
introduced(definition,[new_symbols(definition,[spl17_11])],[avatar_definition]) ).
thf(f188,plain,
( ! [X4: g] :
( sK14
!= ( sK0 @ X4 @ sK11 ) )
| ~ spl17_11 ),
inference(avatar_component_clause,[],[f187]) ).
thf(f190,definition,
( spl17_12
<=> ! [X3: g] :
( ( sK0 @ sK11 @ X3 )
!= sK14 ) ),
introduced(definition,[new_symbols(definition,[spl17_12])],[avatar_definition]) ).
thf(f191,plain,
( ! [X3: g] :
( ( sK0 @ sK11 @ X3 )
!= sK14 )
| ~ spl17_12 ),
inference(avatar_component_clause,[],[f190]) ).
thf(f193,definition,
( spl17_13
<=> ( ( sK0 @ sK16 @ ( sK0 @ sK12 @ sK15 ) )
= ( sK0 @ ( sK0 @ sK16 @ sK12 ) @ sK15 ) ) ),
introduced(definition,[new_symbols(definition,[spl17_13])],[avatar_definition]) ).
thf(f195,plain,
( ( ( sK0 @ sK16 @ ( sK0 @ sK12 @ sK15 ) )
!= ( sK0 @ ( sK0 @ sK16 @ sK12 ) @ sK15 ) )
| spl17_13 ),
inference(avatar_component_clause,[],[f193]) ).
thf(f197,definition,
( spl17_14
<=> ! [X2: g,X1: g] :
( ( ( sK13 @ X1 )
!= ( sK0 @ ( sK13 @ X1 ) @ X1 ) )
| ( ( sK0 @ ( sK10 @ X1 ) @ X2 )
!= X1 ) ) ),
introduced(definition,[new_symbols(definition,[spl17_14])],[avatar_definition]) ).
thf(f198,plain,
( ! [X2: g,X1: g] :
( ( ( sK13 @ X1 )
!= ( sK0 @ ( sK13 @ X1 ) @ X1 ) )
| ( ( sK0 @ ( sK10 @ X1 ) @ X2 )
!= X1 ) )
| ~ spl17_14 ),
inference(avatar_component_clause,[],[f197]) ).
thf(f199,plain,
( spl17_11
| spl17_12
| ~ spl17_13
| spl17_14 ),
inference(avatar_split_clause,[],[f146,f197,f193,f190,f187]) ).
thf(f205,plain,
( $false
| ~ spl17_1
| spl17_13 ),
inference(forward_subsumption_resolution,[],[f195,f149]) ).
thf(f206,plain,
( ~ spl17_1
| spl17_13 ),
inference(avatar_contradiction_clause,[],[f205]) ).
thf(f207,plain,
( ! [X0: g,X1: g] :
( ( sK0 @ sK1 @ X1 )
= ( sK0 @ X0 @ ( sK0 @ ( sK6 @ X0 ) @ X1 ) ) )
| ~ spl17_1
| ~ spl17_8 ),
inference(superposition,[],[f149,f174]) ).
thf(f208,plain,
( ! [X0: g,X1: g] :
( ( sK0 @ X0 @ ( sK0 @ sK1 @ X1 ) )
= ( sK0 @ X0 @ X1 ) )
| ~ spl17_1
| ~ spl17_4 ),
inference(superposition,[],[f149,f160]) ).
thf(f212,plain,
( ! [X0: g,X1: g] :
( sK1
= ( sK0 @ X0 @ ( sK0 @ X1 @ ( sK6 @ ( sK0 @ X0 @ X1 ) ) ) ) )
| ~ spl17_1
| ~ spl17_8 ),
inference(superposition,[],[f174,f149]) ).
thf(f214,plain,
( ! [X0: g,X1: g] :
( sK14
!= ( sK0 @ X0 @ ( sK0 @ X1 @ sK11 ) ) )
| ~ spl17_1
| ~ spl17_11 ),
inference(superposition,[],[f188,f149]) ).
thf(f234,plain,
( ! [X0: g] :
( ( sK0 @ X0 @ sK1 )
= ( sK0 @ sK1 @ ( sK6 @ ( sK6 @ X0 ) ) ) )
| ~ spl17_1
| ~ spl17_8 ),
inference(superposition,[],[f207,f174]) ).
thf(f250,plain,
( ! [X0: g] :
( ( sK0 @ sK1 @ ( sK6 @ ( sK6 @ X0 ) ) )
= X0 )
| ~ spl17_1
| ~ spl17_4
| ~ spl17_8 ),
inference(forward_demodulation,[],[f234,f160]) ).
thf(f252,plain,
( ! [X0: g,X1: g] :
( ( sK0 @ X1 @ X0 )
= ( sK0 @ X1 @ ( sK6 @ ( sK6 @ X0 ) ) ) )
| ~ spl17_1
| ~ spl17_4
| ~ spl17_8 ),
inference(superposition,[],[f208,f250]) ).
thf(f270,plain,
( ! [X0: g,X1: g] :
( ( sK0 @ X1 @ sK1 )
= ( sK0 @ sK1 @ ( sK0 @ X0 @ ( sK6 @ ( sK0 @ ( sK6 @ X1 ) @ X0 ) ) ) ) )
| ~ spl17_1
| ~ spl17_8 ),
inference(superposition,[],[f207,f212]) ).
thf(f274,plain,
( ! [X0: g,X1: g] :
( ( sK0 @ sK1 @ ( sK0 @ X0 @ ( sK6 @ ( sK0 @ ( sK6 @ X1 ) @ X0 ) ) ) )
= X1 )
| ~ spl17_1
| ~ spl17_4
| ~ spl17_8 ),
inference(forward_demodulation,[],[f270,f160]) ).
thf(f298,plain,
( ! [X0: g] :
( sK1
= ( sK0 @ ( sK6 @ X0 ) @ X0 ) )
| ~ spl17_1
| ~ spl17_4
| ~ spl17_8 ),
inference(superposition,[],[f252,f174]) ).
thf(f306,plain,
( ! [X0: g] :
( ( sK0 @ sK1 @ X0 )
= X0 )
| ~ spl17_1
| ~ spl17_4
| ~ spl17_8 ),
inference(superposition,[],[f250,f252]) ).
thf(f477,plain,
( ! [X2: g,X0: g,X1: g] :
( ( sK0 @ X0 @ X2 )
= ( sK0 @ ( sK5 @ X0 @ X1 ) @ ( sK0 @ X1 @ X2 ) ) )
| ~ spl17_1
| ~ spl17_6 ),
inference(superposition,[],[f149,f167]) ).
thf(f483,plain,
( ! [X0: g] : ( sK14 != X0 )
| ~ spl17_6
| ~ spl17_11 ),
inference(superposition,[],[f188,f167]) ).
thf(f486,plain,
( $false
| ~ spl17_6
| ~ spl17_11 ),
inference(equality_resolution,[],[f483]) ).
thf(f489,plain,
( ~ spl17_6
| ~ spl17_11 ),
inference(avatar_contradiction_clause,[],[f486]) ).
thf(f493,plain,
( ! [X0: g] : ( sK14 != X0 )
| ~ spl17_5
| ~ spl17_12 ),
inference(superposition,[],[f191,f163]) ).
thf(f501,plain,
( $false
| ~ spl17_5
| ~ spl17_12 ),
inference(equality_resolution,[],[f493]) ).
thf(f504,plain,
( ~ spl17_5
| ~ spl17_12 ),
inference(avatar_contradiction_clause,[],[f501]) ).
thf(f587,plain,
( ! [X2: g,X0: g,X1: g] :
( ( sK0 @ X1 @ ( sK4 @ X0 @ X2 ) )
= ( sK0 @ ( sK5 @ X1 @ X2 ) @ X0 ) )
| ~ spl17_1
| ~ spl17_5
| ~ spl17_6 ),
inference(superposition,[],[f477,f163]) ).
thf(f679,plain,
( ! [X0: g,X1: g] :
( ( sK0 @ X0 @ ( sK4 @ X1 @ X1 ) )
= X0 )
| ~ spl17_1
| ~ spl17_5
| ~ spl17_6 ),
inference(superposition,[],[f587,f167]) ).
thf(f782,plain,
( ! [X0: g,X1: g] :
( ( ( sK13 @ ( sK4 @ X0 @ X0 ) )
!= ( sK13 @ ( sK4 @ X0 @ X0 ) ) )
| ( ( sK4 @ X0 @ X0 )
!= ( sK0 @ ( sK10 @ ( sK4 @ X0 @ X0 ) ) @ X1 ) ) )
| ~ spl17_1
| ~ spl17_5
| ~ spl17_6
| ~ spl17_14 ),
inference(superposition,[],[f198,f679]) ).
thf(f790,plain,
( ! [X0: g,X1: g] :
( ( sK4 @ X0 @ X0 )
!= ( sK0 @ ( sK10 @ ( sK4 @ X0 @ X0 ) ) @ X1 ) )
| ~ spl17_1
| ~ spl17_5
| ~ spl17_6
| ~ spl17_14 ),
inference(trivial_inequality_removal,[],[f782]) ).
thf(f1331,plain,
( ! [X0: g,X1: g] :
( ( sK0 @ X0 @ ( sK6 @ ( sK0 @ ( sK6 @ X1 ) @ X0 ) ) )
= X1 )
| ~ spl17_1
| ~ spl17_4
| ~ spl17_8 ),
inference(forward_demodulation,[],[f274,f306]) ).
thf(f1732,plain,
( ! [X0: g] :
( ( sK0 @ X0 @ sK1 )
!= sK14 )
| ~ spl17_1
| ~ spl17_4
| ~ spl17_8
| ~ spl17_11 ),
inference(superposition,[],[f214,f298]) ).
thf(f1743,plain,
( ! [X0: g] : ( sK14 != X0 )
| ~ spl17_1
| ~ spl17_4
| ~ spl17_8
| ~ spl17_11 ),
inference(forward_demodulation,[],[f1732,f160]) ).
thf(f1774,plain,
( $false
| ~ spl17_1
| ~ spl17_4
| ~ spl17_8
| ~ spl17_11 ),
inference(equality_resolution,[],[f1743]) ).
thf(f1777,plain,
( ~ spl17_1
| ~ spl17_4
| ~ spl17_8
| ~ spl17_11 ),
inference(avatar_contradiction_clause,[],[f1774]) ).
thf(f1778,plain,
( ! [X2: g,X0: g,X1: g] :
( ( sK0 @ X0 @ ( sK0 @ X1 @ ( sK7 @ X2 @ ( sK0 @ X0 @ X1 ) ) ) )
= X2 )
| ~ spl17_1
| ~ spl17_7 ),
inference(superposition,[],[f171,f149]) ).
thf(f1795,plain,
( ! [X0: g] : ( sK14 != X0 )
| ~ spl17_9
| ~ spl17_11 ),
inference(superposition,[],[f188,f178]) ).
thf(f1798,plain,
( $false
| ~ spl17_9
| ~ spl17_11 ),
inference(equality_resolution,[],[f1795]) ).
thf(f1801,plain,
( ~ spl17_9
| ~ spl17_11 ),
inference(avatar_contradiction_clause,[],[f1798]) ).
thf(f1804,plain,
( ! [X0: g] :
( ( ( sK13 @ sK1 )
!= ( sK13 @ sK1 ) )
| ( ( sK0 @ ( sK10 @ sK1 ) @ X0 )
!= sK1 ) )
| ~ spl17_4
| ~ spl17_14 ),
inference(superposition,[],[f198,f160]) ).
thf(f1805,plain,
( ! [X0: g] :
( ( sK0 @ ( sK10 @ sK1 ) @ X0 )
!= sK1 )
| ~ spl17_4
| ~ spl17_14 ),
inference(trivial_inequality_removal,[],[f1804]) ).
thf(f1831,plain,
( ! [X0: g] : ( sK1 != X0 )
| ~ spl17_1
| ~ spl17_4
| ~ spl17_7
| ~ spl17_14 ),
inference(superposition,[],[f1805,f1778]) ).
thf(f1883,plain,
( $false
| ~ spl17_1
| ~ spl17_4
| ~ spl17_7
| ~ spl17_14 ),
inference(equality_resolution,[],[f1831]) ).
thf(f1886,plain,
( ~ spl17_1
| ~ spl17_4
| ~ spl17_7
| ~ spl17_14 ),
inference(avatar_contradiction_clause,[],[f1883]) ).
thf(f1890,plain,
( ! [X0: g] : ( sK14 != X0 )
| ~ spl17_7
| ~ spl17_12 ),
inference(superposition,[],[f191,f171]) ).
thf(f1892,plain,
( ( sK14 != sK14 )
| ~ spl17_7
| ~ spl17_12 ),
inference(imitation,[],[f1890]) ).
thf(f1895,plain,
( $false
| ~ spl17_7
| ~ spl17_12 ),
inference(trivial_inequality_removal,[],[f1892]) ).
thf(f1896,plain,
( ~ spl17_7
| ~ spl17_12 ),
inference(avatar_contradiction_clause,[],[f1895]) ).
thf(f1978,plain,
( ! [X0: g] : ( sK14 != X0 )
| ~ spl17_1
| ~ spl17_4
| ~ spl17_8
| ~ spl17_12 ),
inference(superposition,[],[f191,f1331]) ).
thf(f1998,plain,
( $false
| ~ spl17_1
| ~ spl17_4
| ~ spl17_8
| ~ spl17_12 ),
inference(equality_resolution,[],[f1978]) ).
thf(f2001,plain,
( ~ spl17_1
| ~ spl17_4
| ~ spl17_8
| ~ spl17_12 ),
inference(avatar_contradiction_clause,[],[f1998]) ).
thf(f2015,plain,
( ( sK1 != sK1 )
| ~ spl17_4
| ~ spl17_8
| ~ spl17_14 ),
inference(superposition,[],[f1805,f174]) ).
thf(f2019,plain,
( $false
| ~ spl17_4
| ~ spl17_8
| ~ spl17_14 ),
inference(trivial_inequality_removal,[],[f2015]) ).
thf(f2020,plain,
( ~ spl17_4
| ~ spl17_8
| ~ spl17_14 ),
inference(avatar_contradiction_clause,[],[f2019]) ).
thf(f2208,plain,
( ! [X0: g,X1: g] :
( ( sK4 @ X1 @ X1 )
!= X0 )
| ~ spl17_1
| ~ spl17_5
| ~ spl17_6
| ~ spl17_14 ),
inference(superposition,[],[f790,f163]) ).
thf(f2253,plain,
( $false
| ~ spl17_1
| ~ spl17_5
| ~ spl17_6
| ~ spl17_14 ),
inference(equality_resolution,[],[f2208]) ).
thf(f2254,plain,
( ~ spl17_1
| ~ spl17_5
| ~ spl17_6
| ~ spl17_14 ),
inference(avatar_contradiction_clause,[],[f2253]) ).
cnf(s3,plain,
( spl17_4
| spl17_5 ),
inference(sat_conversion,[],[f164]) ).
cnf(s4,plain,
( spl17_4
| spl17_6 ),
inference(sat_conversion,[],[f168]) ).
cnf(s5,plain,
( spl17_7
| spl17_8 ),
inference(sat_conversion,[],[f175]) ).
cnf(s6,plain,
( spl17_8
| spl17_9 ),
inference(sat_conversion,[],[f179]) ).
cnf(s7,plain,
spl17_1,
inference(sat_conversion,[],[f180]) ).
cnf(s10,plain,
( spl17_11
| spl17_12
| ~ spl17_13
| spl17_14 ),
inference(sat_conversion,[],[f199]) ).
cnf(s12,plain,
( ~ spl17_1
| spl17_13 ),
inference(sat_conversion,[],[f206]) ).
cnf(s19,plain,
( ~ spl17_6
| ~ spl17_11 ),
inference(sat_conversion,[],[f489]) ).
cnf(s23,plain,
( ~ spl17_5
| ~ spl17_12 ),
inference(sat_conversion,[],[f504]) ).
cnf(s27,plain,
( ~ spl17_1
| ~ spl17_4
| ~ spl17_8
| ~ spl17_11 ),
inference(sat_conversion,[],[f1777]) ).
cnf(s29,plain,
( ~ spl17_9
| ~ spl17_11 ),
inference(sat_conversion,[],[f1801]) ).
cnf(s33,plain,
( ~ spl17_1
| ~ spl17_4
| ~ spl17_7
| ~ spl17_14 ),
inference(sat_conversion,[],[f1886]) ).
cnf(s35,plain,
( ~ spl17_7
| ~ spl17_12 ),
inference(sat_conversion,[],[f1896]) ).
cnf(s37,plain,
( ~ spl17_1
| ~ spl17_4
| ~ spl17_8
| ~ spl17_12 ),
inference(sat_conversion,[],[f2001]) ).
cnf(s39,plain,
( ~ spl17_4
| ~ spl17_8
| ~ spl17_14 ),
inference(sat_conversion,[],[f2020]) ).
cnf(s40,plain,
( ~ spl17_1
| ~ spl17_5
| ~ spl17_6
| ~ spl17_14 ),
inference(sat_conversion,[],[f2254]) ).
cnf(s41,plain,
spl17_13,
inference(rat,[],[s12,s7]) ).
cnf(s42,plain,
spl17_4,
inference(rat,[],[s10,s40,s23,s19,s3,s4,s41,s7]) ).
cnf(s43,plain,
~ spl17_11,
inference(rat,[],[s6,s27,s29,s7,s42]) ).
cnf(s45,plain,
~ spl17_8,
inference(rat,[],[s10,s37,s39,s41,s43,s7,s42]) ).
cnf(s47,plain,
spl17_7,
inference(rat,[],[s5,s45]) ).
cnf(s48,plain,
~ spl17_12,
inference(rat,[],[s35,s47]) ).
cnf(s49,plain,
~ spl17_14,
inference(rat,[],[s33,s42,s7,s47]) ).
cnf(s50,plain,
$false,
inference(rat,[],[s10,s43,s41,s49,s48]) ).
thf(f2255,plain,
$false,
inference(avatar_sat_refutation,[],[s50]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.01 % Problem : ALG274^5 : TPTP v9.3.1. Bugfixed v5.3.0.
% 0.00/0.03 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.00/0.11 % Computer : n012.cluster.edu
% 0.00/0.11 % Model : x86_64 x86_64
% 0.00/0.11 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.00/0.11 % Memory : 8046.5625MB
% 0.00/0.11 % OS : Linux 6.8.0-71-generic
% 0.00/0.11 % CPULimit : 300
% 0.00/0.11 % WCLimit : 300
% 0.00/0.11 % DateTime : Tue Sep 29 17:36:03 UTC 2026
% 0.00/0.11 % CPUTime :
% 0.00/0.11 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.04/0.13 Running higher-order theorem proving
% 0.04/0.14 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
% 0.04/0.23 % (433591)Detected a higher-order problem, will run a greedy HOL sequence.
% 0.04/0.23 % (433602)WARNING Broken Constraint: if ho_split_queue_ratios(1,8) has been set then ho_split_queue(off) is equal to on
% 0.04/0.23 % (433602)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
% 0.04/0.23 % (433597)lrs+10_16_si=on:nwc=1.5:random_seed=718986947:i=18:kws=arity_squared:rtra=on:fe=abstraction:ntd=on_2999 on theBenchmark for (2999ds/18Mi)
% 0.04/0.23 % (433601)lrs+10_1_to=lpo:sil=128000:e2e=on:si=on:random_seed=3558300918:s2a=on:i=75:s2at=3:aac=none:bd=preordered:rtra=on:fe=abstraction_2999 on theBenchmark for (2999ds/75Mi)
% 0.04/0.23 % (433602)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=3257626556:hsqr=1,8:i=157:s2at=5:add=on:nm=2:rtra=on_2999 on theBenchmark for (2999ds/157Mi)
% 0.04/0.23 % (433596)lrs+10_40_drc=off:e2e=on:si=on:uwa=one_side_interpreted:random_seed=1639528152:s2a=on:i=87:rtra=on:ntd=on_2999 on theBenchmark for (2999ds/87Mi)
% 0.04/0.23 % (433598)lrs+10_1_cnfonf=off:si=on:uwa=one_side_interpreted:random_seed=1973035098:i=3:rtra=on:inj=on:ntd=on_2999 on theBenchmark for (2999ds/3Mi)
% 0.04/0.23 % (433599)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=1603147606: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)
% 0.04/0.23 % (433600)dis+21_4_fde=none:e2e=on:si=on:uwa=off:foolp=on:random_seed=1778845012:i=24:av=off:rtra=on_2999 on theBenchmark for (2999ds/24Mi)
% 0.04/0.23 % (433598)Instruction limit reached!
% 0.04/0.23 % (433598)------------------------------
% 0.04/0.23 % (433598)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.04/0.23 % (433598)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.04/0.23 % (433598)CaDiCaL version: 2.1.3
% 0.04/0.23 % (433598)Termination reason: Instruction limit
% 0.04/0.23 % (433598)Termination phase: Saturation
% 0.04/0.23 % (433598)Time elapsed: 0.001 s
% 0.04/0.23 % (433598)Peak memory usage: 11 MB
% 0.04/0.23 % (433598)Instructions burned: 4 (million)
% 0.04/0.23 % (433597)Instruction limit reached!
% 0.04/0.23 % (433597)------------------------------
% 0.04/0.23 % (433597)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.04/0.23 % (433597)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.04/0.23 % (433597)CaDiCaL version: 2.1.3
% 0.04/0.23 % (433597)Termination reason: Instruction limit
% 0.04/0.23 % (433597)Termination phase: Saturation
% 0.04/0.23 % (433597)Time elapsed: 0.006 s
% 0.04/0.23 % (433597)Peak memory usage: 12 MB
% 0.04/0.23 % (433597)Instructions burned: 20 (million)
% 0.04/0.23 % (433600)Instruction limit reached!
% 0.04/0.23 % (433600)------------------------------
% 0.04/0.23 % (433600)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.04/0.23 % (433600)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.04/0.23 % (433600)CaDiCaL version: 2.1.3
% 0.04/0.23 % (433600)Termination reason: Instruction limit
% 0.04/0.23 % (433600)Termination phase: Saturation
% 0.04/0.23 % (433600)Time elapsed: 0.008 s
% 0.04/0.23 % (433600)Peak memory usage: 12 MB
% 0.04/0.23 % (433600)Instructions burned: 26 (million)
% 0.04/0.23 % (433610)dis+10_1024_sil=128000:si=on:sp=unary_first:urr=on:uwa=all:fd=off:random_seed=202121946:i=2:hud=10:rtra=on_2999 on theBenchmark for (2999ds/2Mi)
% 0.04/0.23 % (433610)Instruction limit reached!
% 0.04/0.23 % (433610)------------------------------
% 0.04/0.23 % (433610)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.04/0.23 % (433610)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.04/0.23 % (433610)CaDiCaL version: 2.1.3
% 0.04/0.23 % (433610)Termination reason: Instruction limit
% 0.04/0.23 % (433610)Termination phase: Saturation
% 0.04/0.23 % (433610)Time elapsed: 0.002 s
% 0.04/0.23 % (433610)Peak memory usage: 11 MB
% 0.04/0.23 % (433610)Instructions burned: 5 (million)
% 0.04/0.23 % (433611)lrs+1010_2:3_cha=on:si=on:uwa=off:nwc=1:random_seed=3338570016:i=5:fgj=on:av=off:rtra=on:fe=axiom:ntd=on_2999 on theBenchmark for (2999ds/5Mi)
% 0.04/0.23 % (433612)WARNING Broken Constraint: if forward_subsumption_demodulation_max_matches(5) has been set then forward_subsumption_demodulation(off) is equal to on
% 0.51/0.25 % (433611)Instruction limit reached!
% 0.51/0.25 % (433611)------------------------------
% 0.51/0.25 % (433611)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.51/0.25 % (433611)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.51/0.25 % (433611)CaDiCaL version: 2.1.3
% 0.51/0.25 % (433611)Termination reason: Instruction limit
% 0.51/0.25 % (433611)Termination phase: Saturation
% 0.51/0.25 % (433611)Time elapsed: 0.002 s
% 0.51/0.25 % (433611)Peak memory usage: 11 MB
% 0.51/0.25 % (433611)Instructions burned: 7 (million)
% 0.51/0.25 % (433612)dis+21_1_to=kbo:sil=128000:plsq=on:plsqc=1:cnfonf=lazy_gen:si=on:plsqr=64,1:uwa=hol:random_seed=1155726389:uwa_fpi=on:i=7:fgj=on:hud=10:fsr=off:rtra=on:rawr=on:fsdmm=5_2999 on theBenchmark for (2999ds/7Mi)
% 0.51/0.25 % (433612)Instruction limit reached!
% 0.51/0.25 % (433612)------------------------------
% 0.51/0.25 % (433612)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.51/0.25 % (433612)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.51/0.25 % (433612)CaDiCaL version: 2.1.3
% 0.51/0.25 % (433612)Termination reason: Instruction limit
% 0.51/0.25 % (433612)Termination phase: Saturation
% 0.51/0.25 % (433612)Time elapsed: 0.003 s
% 0.51/0.25 % (433612)Peak memory usage: 12 MB
% 0.51/0.25 % (433612)Instructions burned: 12 (million)
% 0.51/0.25 % (433601)Instruction limit reached!
% 0.51/0.25 % (433601)------------------------------
% 0.51/0.25 % (433601)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.51/0.25 % (433601)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.51/0.25 % (433601)CaDiCaL version: 2.1.3
% 0.51/0.25 % (433601)Termination reason: Instruction limit
% 0.51/0.25 % (433601)Termination phase: Saturation
% 0.51/0.25 % (433601)Time elapsed: 0.023 s
% 0.51/0.25 % (433601)Peak memory usage: 12 MB
% 0.51/0.25 % (433601)Instructions burned: 77 (million)
% 0.51/0.25 % (433596)Instruction limit reached!
% 0.51/0.25 % (433596)------------------------------
% 0.51/0.25 % (433596)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.51/0.25 % (433596)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.51/0.25 % (433596)CaDiCaL version: 2.1.3
% 0.51/0.25 % (433596)Termination reason: Instruction limit
% 0.51/0.25 % (433596)Termination phase: Saturation
% 0.51/0.25 % (433596)Time elapsed: 0.024 s
% 0.51/0.25 % (433596)Peak memory usage: 12 MB
% 0.51/0.25 % (433596)Instructions burned: 89 (million)
% 0.51/0.25 % (433617)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
% 0.51/0.25 % (433617)WARNING Broken Constraint: if forward_subsumption_demodulation_max_matches(1) has been set then forward_subsumption_demodulation(off) is equal to on
% 0.51/0.25 % (433614)lrs+10_1_sil=128000:si=on:urr=on:slsqc=1:slsq=on:random_seed=2485564273:i=12:s2at=2:kws=inv_frequency:bd=all:rtra=on_2999 on theBenchmark for (2999ds/12Mi)
% 0.51/0.25 % (433617)ott+1010_64_tgt=ground:cnfonf=lazy_simp:si=on:lma=off:spb=goal:lcm=predicate:random_seed=1916057816:i=28:s2at=5:piset=not:hud=10:bd=all:av=off:rtra=on:ixr=off:fsdmm=1_2999 on theBenchmark for (2999ds/28Mi)
% 0.51/0.25 % (433614)Instruction limit reached!
% 0.51/0.25 % (433614)------------------------------
% 0.51/0.25 % (433614)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.51/0.25 % (433614)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.51/0.25 % (433614)CaDiCaL version: 2.1.3
% 0.51/0.25 % (433614)Termination reason: Instruction limit
% 0.51/0.25 % (433614)Termination phase: Saturation
% 0.51/0.25 % (433614)Time elapsed: 0.005 s
% 0.51/0.25 % (433614)Peak memory usage: 12 MB
% 0.51/0.25 % (433614)Instructions burned: 14 (million)
% 0.51/0.25 % (433620)WARNING Broken Constraint: if positive_literal_split_queue_ratios(1,32) has been set then positive_literal_split_queue(off) is equal to on
% 0.51/0.25 % (433618)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=2079729934:i=86:piset=equals:rtra=on:ntd=on_2999 on theBenchmark for (2999ds/86Mi)
% 0.51/0.25 % (433619)lrs+10_1_si=on:cs=on:random_seed=241090329:i=8:rtra=on:ntd=on_2999 on theBenchmark for (2999ds/8Mi)
% 0.51/0.27 % (433620)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=1422228742:i=2:add=on:rtra=on_2999 on theBenchmark for (2999ds/2Mi)
% 0.51/0.27 % (433617)Refutation not found, incomplete strategy
% 0.51/0.27 % (433617)------------------------------
% 0.51/0.27 % (433617)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.51/0.27 % (433617)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.51/0.27 % (433617)CaDiCaL version: 2.1.3
% 0.51/0.27 % (433617)Termination reason: Refutation not found, incomplete strategy
% 0.51/0.27 % (433617)Time elapsed: 0.006 s
% 0.51/0.27 % (433617)Peak memory usage: 12 MB
% 0.51/0.27 % (433617)Instructions burned: 26 (million)
% 0.51/0.27 % (433617)------------------------------
% 0.51/0.27 % (433617)------------------------------
% 0.51/0.27 % (433620)Instruction limit reached!
% 0.51/0.27 % (433620)------------------------------
% 0.51/0.27 % (433620)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.51/0.27 % (433620)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.51/0.27 % (433620)CaDiCaL version: 2.1.3
% 0.51/0.27 % (433620)Termination reason: Instruction limit
% 0.51/0.27 % (433620)Termination phase: Saturation
% 0.51/0.27 % (433620)Time elapsed: 0.001 s
% 0.51/0.27 % (433620)Peak memory usage: 11 MB
% 0.51/0.27 % (433620)Instructions burned: 3 (million)
% 0.51/0.27 % (433619)Instruction limit reached!
% 0.51/0.27 % (433619)------------------------------
% 0.51/0.27 % (433619)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.51/0.27 % (433619)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.51/0.27 % (433619)CaDiCaL version: 2.1.3
% 0.51/0.27 % (433619)Termination reason: Instruction limit
% 0.51/0.27 % (433619)Termination phase: Saturation
% 0.51/0.27 % (433619)Time elapsed: 0.003 s
% 0.51/0.27 % (433619)Peak memory usage: 11 MB
% 0.51/0.27 % (433619)Instructions burned: 13 (million)
% 0.51/0.27 % (433624)lrs+1002_3:1_sil=128000:e2e=on:si=on:urr=on:uwa=one_side_constant:nwc=1.5:random_seed=723753014:i=38:bd=all:rtra=on:amm=off:ss=axioms:ntd=on_2999 on theBenchmark for (2999ds/38Mi)
% 0.51/0.27 % (433624)Refutation not found, incomplete strategy
% 0.51/0.27 % (433624)------------------------------
% 0.51/0.27 % (433624)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.51/0.27 % (433624)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.51/0.27 % (433624)CaDiCaL version: 2.1.3
% 0.51/0.27 % (433624)Termination reason: Refutation not found, incomplete strategy
% 0.51/0.27 % (433624)Time elapsed: 0.002 s
% 0.51/0.27 % (433624)Peak memory usage: 12 MB
% 0.51/0.27 % (433624)Instructions burned: 8 (million)
% 0.51/0.27 % (433624)------------------------------
% 0.51/0.27 % (433624)------------------------------
% 0.51/0.27 % (433628)dis+1002_1_sil=128000:fde=unused:e2e=on:si=on:cbe=off:uwa=off:random_seed=3608970719:hsq=on:st=2:i=25:kws=inv_frequency:rtra=on:ss=axioms:ntd=on_2999 on theBenchmark for (2999ds/25Mi)
% 0.51/0.27 % (433602)Instruction limit reached!
% 0.51/0.27 % (433602)------------------------------
% 0.51/0.27 % (433602)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.51/0.27 % (433602)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.51/0.27 % (433602)CaDiCaL version: 2.1.3
% 0.51/0.27 % (433602)Termination reason: Instruction limit
% 0.51/0.27 % (433602)Termination phase: Saturation
% 0.51/0.27 % (433602)Time elapsed: 0.048 s
% 0.51/0.27 % (433602)Peak memory usage: 13 MB
% 0.51/0.27 % (433602)Instructions burned: 167 (million)
% 0.51/0.27 % (433629)lrs+10_16:1_sil=128000:si=on:lma=off:urr=on:uwa=interpreted_only:random_seed=1008695907:i=14:kws=precedence:aac=none:nm=10:rtra=on:er=filter:ntd=on_2999 on theBenchmark for (2999ds/14Mi)
% 0.51/0.27 % (433627)lrs+1002_1_to=lpo:sil=128000:si=on:sos=on:spb=goal_then_units:uwa=off:random_seed=2061401126:st=2:i=249:sd=1:rtra=on:ss=axioms_2999 on theBenchmark for (2999ds/249Mi)
% 0.51/0.27 % (433628)Instruction limit reached!
% 0.51/0.27 % (433628)------------------------------
% 0.51/0.27 % (433628)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.51/0.27 % (433628)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.51/0.27 % (433628)CaDiCaL version: 2.1.3
% 0.51/0.27 % (433628)Termination reason: Instruction limit
% 0.51/0.27 % (433628)Termination phase: Saturation
% 0.51/0.27 % (433628)Time elapsed: 0.008 s
% 0.51/0.31 % (433628)Peak memory usage: 12 MB
% 0.51/0.31 % (433628)Instructions burned: 26 (million)
% 0.51/0.31 % (433629)Instruction limit reached!
% 0.51/0.31 % (433629)------------------------------
% 0.51/0.31 % (433629)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.51/0.31 % (433629)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.51/0.31 % (433629)CaDiCaL version: 2.1.3
% 0.51/0.31 % (433629)Termination reason: Instruction limit
% 0.51/0.31 % (433629)Termination phase: Saturation
% 0.51/0.31 % (433629)Time elapsed: 0.007 s
% 0.51/0.31 % (433629)Peak memory usage: 12 MB
% 0.51/0.31 % (433629)Instructions burned: 17 (million)
% 0.51/0.31 % (433627)Refutation not found, incomplete strategy
% 0.51/0.31 % (433627)------------------------------
% 0.51/0.31 % (433627)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.51/0.31 % (433627)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.51/0.31 % (433627)CaDiCaL version: 2.1.3
% 0.51/0.31 % (433627)Termination reason: Refutation not found, incomplete strategy
% 0.51/0.31 % (433627)Time elapsed: 0.002 s
% 0.51/0.31 % (433627)Peak memory usage: 12 MB
% 0.51/0.31 % (433618)Instruction limit reached!
% 0.51/0.31 % (433618)------------------------------
% 0.51/0.31 % (433618)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.51/0.31 % (433627)Instructions burned: 3 (million)
% 0.51/0.31 % (433618)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.51/0.31 % (433618)CaDiCaL version: 2.1.3
% 0.51/0.31 % (433618)Termination reason: Instruction limit
% 0.51/0.31 % (433618)Termination phase: Saturation
% 0.51/0.31 % (433618)Time elapsed: 0.023 s
% 0.51/0.31 % (433618)Peak memory usage: 12 MB
% 0.51/0.31 % (433618)Instructions burned: 87 (million)
% 0.51/0.31 % (433627)------------------------------
% 0.51/0.31 % (433627)------------------------------
% 0.51/0.31 % (433631)dis+1010_1_sil=128000:si=on:uwa=off:random_seed=3330018833:st=3:s2a=on:i=327:sd=3:rtra=on:ss=axioms_2999 on theBenchmark for (2999ds/327Mi)
% 0.51/0.31 % (433634)dis+10_1_anc=all_dependent:to=kbo:sil=128000:si=on:chr=on:random_seed=3732941351:uwa_fpi=on:i=14:aac=none:rtra=on:fe=abstraction_2999 on theBenchmark for (2999ds/14Mi)
% 0.51/0.31 % (433634)Instruction limit reached!
% 0.51/0.31 % (433634)------------------------------
% 0.51/0.31 % (433634)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.51/0.31 % (433634)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.51/0.31 % (433634)CaDiCaL version: 2.1.3
% 0.51/0.31 % (433634)Termination reason: Instruction limit
% 0.51/0.31 % (433634)Termination phase: Saturation
% 0.51/0.31 % (433634)Time elapsed: 0.005 s
% 0.51/0.31 % (433634)Peak memory usage: 12 MB
% 0.51/0.31 % (433634)Instructions burned: 16 (million)
% 0.51/0.31 % (433636)ott+21_20_to=lpo:sil=128000:tgt=ground:si=on:sp=arity:lma=off:uwa=off:foolp=on:random_seed=189694183:st=4:i=2:add=off:sd=3:nm=16:fsr=off:rtra=on:ss=axioms:sgt=8:ntd=on_2999 on theBenchmark for (2999ds/2Mi)
% 0.51/0.31 % (433638)dis+1002_16_sil=128000:si=on:sp=occurrence:random_seed=1710658317:cond=fast:i=23:hud=1:av=off:rtra=on:fe=abstraction:ntd=on_2999 on theBenchmark for (2999ds/23Mi)
% 0.51/0.31 % (433636)Instruction limit reached!
% 0.51/0.31 % (433636)------------------------------
% 0.51/0.31 % (433636)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.51/0.31 % (433636)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.51/0.31 % (433636)CaDiCaL version: 2.1.3
% 0.51/0.31 % (433636)Termination reason: Instruction limit
% 0.51/0.31 % (433636)Termination phase: Saturation
% 0.51/0.31 % (433636)Time elapsed: 0.001 s
% 0.51/0.31 % (433636)Peak memory usage: 10 MB
% 0.51/0.31 % (433636)Instructions burned: 3 (million)
% 0.51/0.31 % (433637)ott+1004_1_sil=128000:cnfonf=lazy_pi_sigma_gen:si=on:sp=unary_frequency:cbe=off:uwa=off:nwc=1:random_seed=2267209698:i=26:ep=R:rtra=on:ntd=on_2999 on theBenchmark for (2999ds/26Mi)
% 0.51/0.31 % (433638)Instruction limit reached!
% 0.51/0.31 % (433638)------------------------------
% 0.51/0.31 % (433638)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.51/0.31 % (433638)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.51/0.31 % (433638)CaDiCaL version: 2.1.3
% 0.51/0.31 % (433638)Termination reason: Instruction limit
% 0.51/0.31 % (433638)Termination phase: Saturation
% 0.51/0.31 % (433638)Time elapsed: 0.006 s
% 0.51/0.31 % (433638)Peak memory usage: 11 MB
% 0.51/0.31 % (433638)Instructions burned: 24 (million)
% 1.17/0.35 % (433643)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
% 1.17/0.35 % (433643)WARNING Broken Constraint: if lrs_weight_limit_only(on) has been set then saturation_algorithm(otter) is equal to lrs
% 1.17/0.35 % (433639)lrs+1002_1024_sil=128000:tgt=ground:fde=none:e2e=on:si=on:uwa=off:nwc=1:random_seed=3788191126:cond=on:i=60:rtra=on:ntd=on_2999 on theBenchmark for (2999ds/60Mi)
% 1.17/0.35 % (433643)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=3848883054:i=14:add=off:nm=40:rtra=on:rawr=on_2999 on theBenchmark for (2999ds/14Mi)
% 1.17/0.35 % (433637)Instruction limit reached!
% 1.17/0.35 % (433637)------------------------------
% 1.17/0.35 % (433637)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.17/0.35 % (433637)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.17/0.35 % (433637)CaDiCaL version: 2.1.3
% 1.17/0.35 % (433637)Termination reason: Instruction limit
% 1.17/0.35 % (433637)Termination phase: Saturation
% 1.17/0.35 % (433637)Time elapsed: 0.009 s
% 1.17/0.35 % (433637)Peak memory usage: 12 MB
% 1.17/0.35 % (433637)Instructions burned: 29 (million)
% 1.17/0.35 % (433646)WARNING Broken Constraint: if choice_reasoning(on) has been set then choice_ax(on) is equal to off
% 1.17/0.35 % (433646)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=2157081804:i=8:nm=2:rtra=on:fe=abstraction:inj=on_2998 on theBenchmark for (2998ds/8Mi)
% 1.17/0.35 % (433643)Instruction limit reached!
% 1.17/0.35 % (433643)------------------------------
% 1.17/0.35 % (433643)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.17/0.35 % (433643)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.17/0.35 % (433643)CaDiCaL version: 2.1.3
% 1.17/0.35 % (433643)Termination reason: Instruction limit
% 1.17/0.35 % (433643)Termination phase: Saturation
% 1.17/0.35 % (433643)Time elapsed: 0.005 s
% 1.17/0.35 % (433643)Peak memory usage: 12 MB
% 1.17/0.35 % (433643)Instructions burned: 17 (million)
% 1.17/0.35 % (433647)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=223632925:uwa_fpi=on:i=31:doe=on:bd=preordered:rtra=on:fsd=on_2998 on theBenchmark for (2998ds/31Mi)
% 1.17/0.35 % (433646)Instruction limit reached!
% 1.17/0.35 % (433646)------------------------------
% 1.17/0.35 % (433646)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.17/0.35 % (433646)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.17/0.35 % (433646)CaDiCaL version: 2.1.3
% 1.17/0.35 % (433646)Termination reason: Instruction limit
% 1.17/0.35 % (433646)Termination phase: Saturation
% 1.17/0.35 % (433646)Time elapsed: 0.005 s
% 1.17/0.35 % (433646)Peak memory usage: 12 MB
% 1.17/0.35 % (433646)Instructions burned: 17 (million)
% 1.17/0.35 % (433651)dis+10_1024_sil=128000:cnfonf=off:si=on:fd=off:random_seed=1526325730:i=7:hud=5:bd=preordered:rtra=on:bet=on_2998 on theBenchmark for (2998ds/7Mi)
% 1.17/0.35 % (433652)lrs+10_1_plsq=on:drc=ordering:cnfonf=lazy_not_gen_be_off:bsd=on:si=on:plsqr=32,1:cs=on:random_seed=858091013:i=23:rtra=on:ntd=on_2998 on theBenchmark for (2998ds/23Mi)
% 1.17/0.35 % (433647)Instruction limit reached!
% 1.17/0.35 % (433647)------------------------------
% 1.17/0.35 % (433647)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.17/0.35 % (433647)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.17/0.35 % (433647)CaDiCaL version: 2.1.3
% 1.17/0.35 % (433647)Termination reason: Instruction limit
% 1.17/0.35 % (433647)Termination phase: Saturation
% 1.17/0.35 % (433647)Time elapsed: 0.009 s
% 1.17/0.35 % (433647)Peak memory usage: 12 MB
% 1.17/0.35 % (433647)Instructions burned: 32 (million)
% 1.17/0.35 % (433651)Instruction limit reached!
% 1.17/0.35 % (433651)------------------------------
% 1.17/0.35 % (433651)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.17/0.35 % (433651)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.17/0.35 % (433651)CaDiCaL version: 2.1.3
% 1.17/0.35 % (433651)Termination reason: Instruction limit
% 1.17/0.35 % (433651)Termination phase: Saturation
% 1.17/0.35 % (433651)Time elapsed: 0.003 s
% 1.17/0.35 % (433651)Peak memory usage: 12 MB
% 1.17/0.35 % (433651)Instructions burned: 10 (million)
% 1.17/0.35 % (433654)lrs+10_1_sil=128000:fde=unused:si=on:random_seed=4078063401:s2a=on:i=20:kws=inv_frequency:bd=all:rtra=on_2998 on theBenchmark for (2998ds/20Mi)
% 1.17/0.35 % (433652)Instruction limit reached!
% 1.17/0.35 % (433652)------------------------------
% 1.17/0.35 % (433652)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.17/0.35 % (433652)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.17/0.35 % (433652)CaDiCaL version: 2.1.3
% 1.17/0.35 % (433652)Termination reason: Instruction limit
% 1.17/0.35 % (433652)Termination phase: Saturation
% 1.17/0.35 % (433652)Time elapsed: 0.005 s
% 1.17/0.35 % (433652)Peak memory usage: 11 MB
% 1.17/0.35 % (433652)Instructions burned: 24 (million)
% 1.17/0.35 % (433654)Instruction limit reached!
% 1.17/0.35 % (433654)------------------------------
% 1.17/0.35 % (433654)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.17/0.35 % (433654)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.17/0.35 % (433654)CaDiCaL version: 2.1.3
% 1.17/0.35 % (433654)Termination reason: Instruction limit
% 1.17/0.35 % (433654)Termination phase: Saturation
% 1.17/0.35 % (433654)Time elapsed: 0.007 s
% 1.17/0.35 % (433654)Peak memory usage: 12 MB
% 1.17/0.35 % (433654)Instructions burned: 22 (million)
% 1.17/0.35 % (433657)dis+1010_2:1_sil=128000:cnfonf=lazy_pi_sigma_gen:si=on:uwa=off:slsq=on:random_seed=2069220658:i=1240:rtra=on:ixr=off_2998 on theBenchmark for (2998ds/1240Mi)
% 1.17/0.35 % (433658)ott+1002_32_tgt=ground:si=on:sp=const_max:acc=on:nwc=0.5:random_seed=346583157:i=143:fgj=on:piset=pi_sigma:rtra=on:fe=abstraction_2998 on theBenchmark for (2998ds/143Mi)
% 1.17/0.35 % (433639)Instruction limit reached!
% 1.17/0.35 % (433639)------------------------------
% 1.17/0.35 % (433639)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.17/0.35 % (433639)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.17/0.35 % (433639)CaDiCaL version: 2.1.3
% 1.17/0.35 % (433639)Termination reason: Instruction limit
% 1.17/0.35 % (433639)Termination phase: Saturation
% 1.17/0.35 % (433639)Time elapsed: 0.031 s
% 1.17/0.35 % (433639)Peak memory usage: 12 MB
% 1.17/0.35 % (433639)Instructions burned: 61 (million)
% 1.17/0.35 % (433660)lrs+1002_1_sil=128000:si=on:acc=on:uwa=off:random_seed=2265566779:st=5:s2a=on:i=193:sd=1:rtra=on:ss=axioms_2998 on theBenchmark for (2998ds/193Mi)
% 1.17/0.35 % (433661)dis+10_1024_sil=128000:si=on:sp=unary_first:urr=on:uwa=all:fd=off:random_seed=4056200149:i=42:hud=10:rtra=on_2998 on theBenchmark for (2998ds/42Mi)
% 1.17/0.35 % (433664)WARNING Broken Constraint: if forward_subsumption_demodulation_max_matches(5) has been set then forward_subsumption_demodulation(off) is equal to on
% 1.17/0.35 % (433664)dis+21_1_to=kbo:sil=128000:plsq=on:plsqc=1:cnfonf=lazy_gen:si=on:plsqr=64,1:uwa=hol:random_seed=2164819438:uwa_fpi=on:i=7:fgj=on:hud=10:fsr=off:rtra=on:rawr=on:fsdmm=5_2998 on theBenchmark for (2998ds/7Mi)
% 1.17/0.35 % (433664)Instruction limit reached!
% 1.17/0.35 % (433664)------------------------------
% 1.17/0.35 % (433664)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.17/0.35 % (433664)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.17/0.35 % (433664)CaDiCaL version: 2.1.3
% 1.17/0.35 % (433664)Termination reason: Instruction limit
% 1.17/0.35 % (433664)Termination phase: Saturation
% 1.17/0.35 % (433664)Time elapsed: 0.002 s
% 1.17/0.35 % (433664)Peak memory usage: 12 MB
% 1.17/0.35 % (433664)Instructions burned: 7 (million)
% 1.17/0.35 % (433661)Instruction limit reached!
% 1.17/0.35 % (433661)------------------------------
% 1.17/0.35 % (433661)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.17/0.35 % (433661)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.17/0.35 % (433661)CaDiCaL version: 2.1.3
% 1.17/0.35 % (433661)Termination reason: Instruction limit
% 1.17/0.35 % (433661)Termination phase: Saturation
% 1.17/0.35 % (433661)Time elapsed: 0.012 s
% 1.17/0.35 % (433661)Peak memory usage: 12 MB
% 1.17/0.35 % (433661)Instructions burned: 44 (million)
% 1.17/0.35 % (433657)Refutation not found, incomplete strategy
% 1.17/0.35 % (433657)------------------------------
% 1.17/0.35 % (433657)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.17/0.35 % (433657)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.17/0.35 % (433657)CaDiCaL version: 2.1.3
% 1.17/0.35 % (433657)Termination reason: Refutation not found, incomplete strategy
% 1.17/0.35 % (433657)Time elapsed: 0.024 s
% 1.17/0.35 % (433657)Peak memory usage: 12 MB
% 1.17/0.35 % (433657)Instructions burned: 89 (million)
% 1.17/0.35 % (433657)------------------------------
% 1.17/0.35 % (433657)------------------------------
% 1.17/0.35 % (433668)lrs+10_1_to=lpo:sil=128000:si=on:sp=arity:urr=on:random_seed=2178893416:i=181:sd=2:bd=preordered:rtra=on:ss=axioms_2998 on theBenchmark for (2998ds/181Mi)
% 1.17/0.35 % (433670)WARNING Broken Constraint: if sine_level_split_queue_cutoffs(5) has been set then sine_level_split_queue(off) is equal to on
% 1.17/0.35 % (433669)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=3191256313:st=3:avsq=on:i=169:avsqr=8,1:sd=2:kws=precedence:bd=preordered:rtra=on:ss=axioms:ntd=on_2998 on theBenchmark for (2998ds/169Mi)
% 1.17/0.35 % (433670)lrs+1002_1_sil=128000:cnfonf=lazy_pi_sigma_gen:si=on:sp=arity:cbe=off:uwa=all:slsqc=5:random_seed=1560462031:st=4:s2a=on:i=6:add=on:doe=on:hud=10:rtra=on:bet=on:ss=axioms_2998 on theBenchmark for (2998ds/6Mi)
% 1.17/0.35 % (433670)Instruction limit reached!
% 1.17/0.35 % (433670)------------------------------
% 1.17/0.35 % (433670)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.17/0.35 % (433670)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.17/0.35 % (433670)CaDiCaL version: 2.1.3
% 1.17/0.35 % (433670)Termination reason: Instruction limit
% 1.17/0.35 % (433670)Termination phase: Saturation
% 1.17/0.35 % (433670)Time elapsed: 0.002 s
% 1.17/0.35 % (433670)Peak memory usage: 12 MB
% 1.17/0.35 % (433670)Instructions burned: 7 (million)
% 1.17/0.35 % (433658)Instruction limit reached!
% 1.17/0.35 % (433658)------------------------------
% 1.17/0.35 % (433658)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.17/0.35 % (433658)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.17/0.35 % (433658)CaDiCaL version: 2.1.3
% 1.17/0.35 % (433658)Termination reason: Instruction limit
% 1.17/0.35 % (433658)Termination phase: Saturation
% 1.17/0.35 % (433658)Time elapsed: 0.037 s
% 1.17/0.35 % (433658)Peak memory usage: 13 MB
% 1.17/0.35 % (433658)Instructions burned: 146 (million)
% 1.17/0.35 % (433631)Instruction limit reached!
% 1.17/0.35 % (433631)------------------------------
% 1.17/0.35 % (433631)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.17/0.35 % (433631)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.17/0.35 % (433631)CaDiCaL version: 2.1.3
% 1.17/0.35 % (433631)Termination reason: Instruction limit
% 1.17/0.35 % (433631)Termination phase: Saturation
% 1.17/0.35 % (433631)Time elapsed: 0.086 s
% 1.17/0.35 % (433631)Peak memory usage: 14 MB
% 1.17/0.35 % (433631)Instructions burned: 328 (million)
% 1.17/0.35 % (433675)dis+1010_1_to=lpo:sil=128000:cnfonf=lazy_pi_sigma_gen:sas=cadical:si=on:sos=all:uwa=off:sac=on:random_seed=1496403711:i=19:add=on:rtra=on_2998 on theBenchmark for (2998ds/19Mi)
% 1.17/0.35 % (433676)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=3310474048:i=316:bs=unit_only:ins=25:rtra=on:ntd=on_2998 on theBenchmark for (2998ds/316Mi)
% 1.17/0.35 % (433675)Instruction limit reached!
% 1.17/0.35 % (433675)------------------------------
% 1.17/0.35 % (433675)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.17/0.35 % (433675)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.17/0.35 % (433675)CaDiCaL version: 2.1.3
% 1.17/0.35 % (433675)Termination reason: Instruction limit
% 1.17/0.35 % (433675)Termination phase: Saturation
% 1.17/0.35 % (433675)Time elapsed: 0.006 s
% 1.17/0.35 % (433675)Peak memory usage: 12 MB
% 1.17/0.35 % (433675)Instructions burned: 19 (million)
% 1.17/0.35 % (433660) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-433591-433660"...
% 1.17/0.35 % (433674)ott+2_5:4_anc=none:to=lpo:si=on:lma=off:cbe=off:uwa=ground:nwc=3:random_seed=1751129863:uwa_fpi=on:i=22:add=on:doe=on:ins=1:rtra=on_2998 on theBenchmark for (2998ds/22Mi)
% 1.17/0.35 % (433660)...printing done.
% 1.17/0.35 % (433660)Refutation found. Thanks to Tanya!
% 1.17/0.35 % SZS status Theorem for theBenchmark
% 1.17/0.35 % SZS output start Proof for theBenchmark
% See solution above
% 1.17/0.35 % (433660)------------------------------
% 1.17/0.35 % (433660)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.17/0.35 % (433660)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.17/0.35 % (433660)CaDiCaL version: 2.1.3
% 1.17/0.35 % (433660)Termination reason: Refutation
% 1.17/0.35 % (433660)Time elapsed: 0.057 s
% 1.17/0.35 % (433660)Peak memory usage: 14 MB
% 1.17/0.35 % (433660)Instructions burned: 197 (million)
% 1.17/0.35 % (433591)Success in time 0.203 s
% 1.17/0.35 % Vampire exiting
%------------------------------------------------------------------------------