%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : NUM814^5 : TPTP v9.3.1. Bugfixed v5.2.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% Computer : n013.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8046.5625MB
% OS : Linux 6.8.0-71-generic
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Wed Sep 30 08:18:58 AM UTC 2026
% Result : Theorem 0.23s 0.31s
% Output : Refutation 0.23s
% Verified :
% SZS Type : Refutation
% Derivation depth : 25
% Number of leaves : 4
% Syntax : Number of formulae : 50 ( 21 unt; 0 typ; 0 def)
% Number of atoms : 297 ( 131 equ; 0 cnn)
% Maximal formula atoms : 10 ( 5 avg)
% Number of connectives : 398 ( 61 ~; 44 |; 36 &; 208 @)
% ( 2 <=>; 31 =>; 0 <=; 0 <~>)
% Maximal formula depth : 8 ( 4 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 22 ( 22 >; 0 *; 0 +; 0 <<)
% Number of symbols : 25 ( 21 usr; 9 con; 0-4 aty)
% ( 16 !!; 0 ??; 0 @@+; 0 @@-)
% Number of variables : 116 ( 38 ^; 65 !; 13 ?; 116 :)
% Comments :
%------------------------------------------------------------------------------
thf(type_def_5,type,
sTfun: ( $tType * $tType ) > $tType ).
thf(func_def_1,type,
cS: $i > $i ).
thf(func_def_2,type,
cEVEN1: $i > $o ).
thf(func_def_3,type,
cIND: $o ).
thf(func_def_4,type,
cODD1: $i > $o ).
thf(func_def_5,type,
cPEANO1: $o ).
thf(func_def_9,type,
vPI:
!>[X0: $tType] : ( ( X0 > $o ) > $o ) ).
thf(func_def_10,type,
vIMP: $o > $o > $o ).
thf(func_def_11,type,
vAND: $o > $o > $o ).
thf(func_def_12,type,
db0:
!>[X0: $tType] : X0 ).
thf(func_def_13,type,
db1:
!>[X0: $tType] : X0 ).
thf(func_def_14,type,
vLAM:
!>[X0: $tType,X1: $tType] : ( X1 > X0 > X1 ) ).
thf(func_def_15,type,
vNOT: $o > $o ).
thf(func_def_16,type,
sK0: $i > $o ).
thf(func_def_18,type,
sK2: ( $i > $o ) > $i ).
thf(func_def_22,type,
sK6: ( $i > $o ) > $i ).
thf(func_def_23,type,
vEQ:
!>[X0: $tType] : ( X0 > X0 > $o ) ).
thf(f1,axiom,
( ( ^ [X0: $i] :
! [X1: $i > $o] :
( ( ! [X2: $i] :
( ( X1 @ X2 )
=> ( X1 @ ( cS @ ( cS @ X2 ) ) ) )
& ( X1 @ c0 ) )
=> ( X1 @ X0 ) ) )
= cEVEN1 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cEVEN1_def) ).
thf(f3,axiom,
( cODD1
= ( ^ [X0: $i] :
~ ( cEVEN1 @ X0 ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cODD1_def) ).
thf(f4,axiom,
( ( cPEANO1 = cIND )
& ! [X1: $i,X2: $i] :
( ( ( cS @ X1 )
= ( cS @ X2 ) )
=> ( X1 = X2 ) )
& ! [X0: $i] :
( ( cS @ X0 )
!= c0 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cPEANO1_def) ).
thf(f5,conjecture,
( cPEANO1
=> ? [X0: $i] : ( cODD1 @ X0 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cTHM404) ).
thf(f6,negated_conjecture,
~ ( cPEANO1
=> ? [X0: $i] : ( cODD1 @ X0 ) ),
inference(negated_conjecture,[status(cth)],[f5]) ).
thf(f9,plain,
( ( ^ [X0: $i] :
! [X1: $i > $o] :
( ( ! [X2: $i] :
( ( X1 @ X2 )
=> ( X1 @ ( cS @ ( cS @ X2 ) ) ) )
& ( X1 @ c0 ) )
=> ( X1 @ X0 ) ) )
= cEVEN1 ),
inference(rectify,[],[f1]) ).
thf(f10,plain,
( cEVEN1
= ( ^ [Y0: $i] :
( !! @ ( $i > $o )
@ ^ [Y1: $i > $o] :
( ( ( Y1 @ c0 )
& ( !! @ $i
@ ^ [Y2: $i] :
( ( Y1 @ Y2 )
=> ( Y1 @ ( cS @ ( cS @ Y2 ) ) ) ) ) )
=> ( Y1 @ Y0 ) ) ) ) ),
inference(fool_elimination,[],[f9]) ).
thf(f11,plain,
( ( cPEANO1 = cIND )
& ! [X0: $i,X1: $i] :
( ( ( cS @ X1 )
= ( cS @ X0 ) )
=> ( X0 = X1 ) )
& ! [X2: $i] :
( c0
!= ( cS @ X2 ) ) ),
inference(rectify,[],[f4]) ).
thf(f12,plain,
( ( ! [X0: $i,X1: $i] :
( ( ( cS @ X1 )
= ( cS @ X0 ) )
=> ( X0 = X1 ) )
& ! [X2: $i] :
( c0
!= ( cS @ X2 ) )
& ( cIND = $true ) )
<=> ( cPEANO1 = $true ) ),
inference(fool_elimination,[],[f11]) ).
thf(f13,plain,
~ ( cPEANO1
=> ? [X0: $i] : ( cODD1 @ X0 ) ),
inference(rectify,[],[f6]) ).
thf(f14,plain,
~ ( ( cPEANO1 = $true )
=> ? [X0: $i] :
( ( cODD1 @ X0 )
= $true ) ),
inference(fool_elimination,[],[f13]) ).
thf(f15,plain,
( cODD1
= ( ^ [X0: $i] :
~ ( cEVEN1 @ X0 ) ) ),
inference(rectify,[],[f3]) ).
thf(f16,plain,
( cODD1
= ( ^ [Y0: $i] :
~ ( cEVEN1 @ Y0 ) ) ),
inference(fool_elimination,[],[f15]) ).
thf(f17,plain,
( ! [X0: $i] :
( ( cODD1 @ X0 )
!= $true )
& ( cPEANO1 = $true ) ),
inference(ennf_transformation,[],[f14]) ).
thf(f18,plain,
( ( cPEANO1 = $true )
<=> ( ( cIND = $true )
& ! [X2: $i] :
( c0
!= ( cS @ X2 ) )
& ! [X1: $i,X0: $i] :
( ( ( cS @ X1 )
!= ( cS @ X0 ) )
| ( X0 = X1 ) ) ) ),
inference(ennf_transformation,[],[f12]) ).
thf(f24,plain,
( ( ( cPEANO1 = $true )
| ( cIND != $true )
| ? [X2: $i] :
( c0
= ( cS @ X2 ) )
| ? [X1: $i,X0: $i] :
( ( ( cS @ X1 )
= ( cS @ X0 ) )
& ( X0 != X1 ) ) )
& ( ( ( cIND = $true )
& ! [X2: $i] :
( c0
!= ( cS @ X2 ) )
& ! [X1: $i,X0: $i] :
( ( ( cS @ X1 )
!= ( cS @ X0 ) )
| ( X0 = X1 ) ) )
| ( cPEANO1 != $true ) ) ),
inference(nnf_transformation,[],[f18]) ).
thf(f25,plain,
( ( ( cPEANO1 = $true )
| ( cIND != $true )
| ? [X2: $i] :
( c0
= ( cS @ X2 ) )
| ? [X1: $i,X0: $i] :
( ( ( cS @ X1 )
= ( cS @ X0 ) )
& ( X0 != X1 ) ) )
& ( ( ( cIND = $true )
& ! [X2: $i] :
( c0
!= ( cS @ X2 ) )
& ! [X1: $i,X0: $i] :
( ( ( cS @ X1 )
!= ( cS @ X0 ) )
| ( X0 = X1 ) ) )
| ( cPEANO1 != $true ) ) ),
inference(flattening,[],[f24]) ).
thf(f26,plain,
( ( ( cPEANO1 = $true )
| ( cIND != $true )
| ? [X0: $i] :
( c0
= ( cS @ X0 ) )
| ? [X1: $i,X2: $i] :
( ( ( cS @ X2 )
= ( cS @ X1 ) )
& ( X1 != X2 ) ) )
& ( ( ( cIND = $true )
& ! [X3: $i] :
( c0
!= ( cS @ X3 ) )
& ! [X4: $i,X5: $i] :
( ( ( cS @ X4 )
!= ( cS @ X5 ) )
| ( X4 = X5 ) ) )
| ( cPEANO1 != $true ) ) ),
inference(rectify,[],[f25]) ).
thf(f27,plain,
( ( ( cPEANO1 = $true )
| ( cIND != $true )
| ( c0
= ( cS @ sK3 ) )
| ( ( ( cS @ sK5 )
= ( cS @ sK4 ) )
& ( sK5 != sK4 ) ) )
& ( ( ( cIND = $true )
& ! [X3: $i] :
( c0
!= ( cS @ X3 ) )
& ! [X4: $i,X5: $i] :
( ( ( cS @ X4 )
!= ( cS @ X5 ) )
| ( X4 = X5 ) ) )
| ( cPEANO1 != $true ) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK3,sK4,sK5]),skolemize(X0,sK3),skolemize(X1,sK4),skolemize(X2,sK5)],[f26]) ).
thf(f28,plain,
cPEANO1 = $true,
inference(cnf_transformation,[],[f17]) ).
thf(f29,plain,
! [X0: $i] :
( ( cODD1 @ X0 )
!= $true ),
inference(cnf_transformation,[],[f17]) ).
thf(f30,plain,
( cODD1
= ( ^ [Y0: $i] :
~ ( cEVEN1 @ Y0 ) ) ),
inference(cnf_transformation,[],[f16]) ).
thf(f36,plain,
( cEVEN1
= ( ^ [Y0: $i] :
( !! @ ( $i > $o )
@ ^ [Y1: $i > $o] :
( ( ( Y1 @ c0 )
& ( !! @ $i
@ ^ [Y2: $i] :
( ( Y1 @ Y2 )
=> ( Y1 @ ( cS @ ( cS @ Y2 ) ) ) ) ) )
=> ( Y1 @ Y0 ) ) ) ) ),
inference(cnf_transformation,[],[f10]) ).
thf(f37,plain,
! [X4: $i,X5: $i] :
( ( ( cS @ X4 )
!= ( cS @ X5 ) )
| ( X4 = X5 )
| ( cPEANO1 != $true ) ),
inference(cnf_transformation,[],[f27]) ).
thf(f38,plain,
! [X3: $i] :
( ( c0
!= ( cS @ X3 ) )
| ( cPEANO1 != $true ) ),
inference(cnf_transformation,[],[f27]) ).
thf(f44,plain,
( cODD1
= ( ^ [Y0: $i] :
~ ( ^ [Y1: $i] :
( !! @ ( $i > $o )
@ ^ [Y2: $i > $o] :
( ( ( Y2 @ c0 )
& ( !! @ $i
@ ^ [Y3: $i] :
( ( Y2 @ Y3 )
=> ( Y2 @ ( cS @ ( cS @ Y3 ) ) ) ) ) )
=> ( Y2 @ Y1 ) ) )
@ Y0 ) ) ),
inference(definition_unfolding,[],[f30,f36]) ).
thf(f45,plain,
! [X0: $i] :
( ( ^ [Y0: $i] :
~ ( ^ [Y1: $i] :
( !! @ ( $i > $o )
@ ^ [Y2: $i > $o] :
( ( ( Y2 @ c0 )
& ( !! @ $i
@ ^ [Y3: $i] :
( ( Y2 @ Y3 )
=> ( Y2 @ ( cS @ ( cS @ Y3 ) ) ) ) ) )
=> ( Y2 @ Y1 ) ) )
@ Y0 )
@ X0 )
!= $true ),
inference(definition_unfolding,[],[f29,f44]) ).
thf(f49,plain,
! [X3: $i] :
( ( c0
!= ( cS @ X3 ) )
| ( $true != $true ) ),
inference(definition_unfolding,[],[f38,f28]) ).
thf(f50,plain,
! [X4: $i,X5: $i] :
( ( ( cS @ X4 )
!= ( cS @ X5 ) )
| ( $true != $true )
| ( X4 = X5 ) ),
inference(definition_unfolding,[],[f37,f28]) ).
thf(f52,plain,
! [X3: $i] :
( c0
!= ( cS @ X3 ) ),
inference(trivial_inequality_removal,[],[f49]) ).
thf(f53,plain,
! [X0: $i] :
( ( ~ ( !! @ ( $i > $o )
@ ^ [Y0: $i > $o] :
( ( ( Y0 @ c0 )
& ( !! @ $i
@ ^ [Y1: $i] :
( ( Y0 @ Y1 )
=> ( Y0 @ ( cS @ ( cS @ Y1 ) ) ) ) ) )
=> ( Y0 @ X0 ) ) ) )
!= $true ),
inference(beta-eta_normalization,[],[f45]) ).
thf(f54,plain,
! [X0: $i] :
( $true
= ( !! @ ( $i > $o )
@ ^ [Y0: $i > $o] :
( ( ( Y0 @ c0 )
& ( !! @ $i
@ ^ [Y1: $i] :
( ( Y0 @ Y1 )
=> ( Y0 @ ( cS @ ( cS @ Y1 ) ) ) ) ) )
=> ( Y0 @ X0 ) ) ) ),
inference(not_proxy_clausification,[],[f53]) ).
thf(f55,plain,
! [X0: $i,X1: $i > $o] :
( ( ^ [Y0: $i > $o] :
( ( ( Y0 @ c0 )
& ( !! @ $i
@ ^ [Y1: $i] :
( ( Y0 @ Y1 )
=> ( Y0 @ ( cS @ ( cS @ Y1 ) ) ) ) ) )
=> ( Y0 @ X0 ) )
@ X1 )
= $true ),
inference(pi_proxy_clausification,[],[f54]) ).
thf(f56,plain,
! [X0: $i,X1: $i > $o] :
( $true
= ( ( ( X1 @ c0 )
& ( !! @ $i
@ ^ [Y0: $i] :
( ( X1 @ Y0 )
=> ( X1 @ ( cS @ ( cS @ Y0 ) ) ) ) ) )
=> ( X1 @ X0 ) ) ),
inference(beta-eta_normalization,[],[f55]) ).
thf(f57,plain,
! [X0: $i,X1: $i > $o] :
( ( ( X1 @ X0 )
= $true )
| ( ( ( X1 @ c0 )
& ( !! @ $i
@ ^ [Y0: $i] :
( ( X1 @ Y0 )
=> ( X1 @ ( cS @ ( cS @ Y0 ) ) ) ) ) )
= $false ) ),
inference(imp_proxy_clausification,[],[f56]) ).
thf(f58,plain,
! [X0: $i,X1: $i > $o] :
( ( ( !! @ $i
@ ^ [Y0: $i] :
( ( X1 @ Y0 )
=> ( X1 @ ( cS @ ( cS @ Y0 ) ) ) ) )
= $false )
| ( ( X1 @ c0 )
= $false )
| ( ( X1 @ X0 )
= $true ) ),
inference(and_proxy_clausification,[],[f57]) ).
thf(f59,plain,
! [X0: $i,X1: $i > $o] :
( ( ( X1 @ c0 )
= $false )
| ( ( X1 @ X0 )
= $true )
| ( ( ^ [Y0: $i] :
( ( X1 @ Y0 )
=> ( X1 @ ( cS @ ( cS @ Y0 ) ) ) )
@ ( sK6 @ X1 ) )
= $false ) ),
inference(sigma_proxy_clausification,[],[f58]) ).
thf(f60,plain,
! [X0: $i,X1: $i > $o] :
( ( ( ( X1 @ ( sK6 @ X1 ) )
=> ( X1 @ ( cS @ ( cS @ ( sK6 @ X1 ) ) ) ) )
= $false )
| ( ( X1 @ X0 )
= $true )
| ( ( X1 @ c0 )
= $false ) ),
inference(beta-eta_normalization,[],[f59]) ).
thf(f61,plain,
! [X0: $i,X1: $i > $o] :
( ( ( X1 @ ( cS @ ( cS @ ( sK6 @ X1 ) ) ) )
= $false )
| ( ( X1 @ X0 )
= $true )
| ( ( X1 @ c0 )
= $false ) ),
inference(imp_proxy_clausification,[],[f60]) ).
thf(f63,plain,
! [X4: $i,X5: $i] :
( ( ( cS @ X4 )
!= ( cS @ X5 ) )
| ( X4 = X5 ) ),
inference(trivial_inequality_removal,[],[f50]) ).
thf(f189,plain,
! [X0: $i] :
( ( ( ^ [Y0: $i] : ( Y0 != X0 )
@ c0 )
= $false )
| ( ( cS
@ ( cS
@ ( sK6
@ ^ [Y0: $i] : ( Y0 != X0 ) ) ) )
= X0 ) ),
inference(leibniz_equality_elimination,[],[f61]) ).
thf(f225,plain,
! [X0: $i] :
( ( ( cS
@ ( cS
@ ( sK6
@ ^ [Y0: $i] : ( Y0 != X0 ) ) ) )
= X0 )
| ( ( c0 != X0 )
= $false ) ),
inference(beta-eta_normalization,[],[f189]) ).
thf(f226,plain,
! [X0: $i] :
( ( ( cS
@ ( cS
@ ( sK6
@ ^ [Y0: $i] : ( Y0 != X0 ) ) ) )
= X0 )
| ( ( c0 = X0 )
= $true ) ),
inference(not_proxy_clausification,[],[f225]) ).
thf(f227,plain,
! [X0: $i] :
( ( ( cS
@ ( cS
@ ( sK6
@ ^ [Y0: $i] : ( Y0 != X0 ) ) ) )
= X0 )
| ( c0 = X0 ) ),
inference(equality_proxy_clausification,[],[f226]) ).
thf(f306,plain,
! [X0: $i,X1: $i] :
( ( ( cS @ X1 )
!= X0 )
| ( ( cS
@ ( sK6
@ ^ [Y0: $i] : ( Y0 != X0 ) ) )
= X1 )
| ( c0 = X0 ) ),
inference(constrained_superposition,[],[f63,f227]) ).
thf(f486,plain,
! [X0: $i] :
( ( ( cS
@ ( sK6
@ ^ [Y0: $i] :
( Y0
!= ( cS @ X0 ) ) ) )
= X0 )
| ( c0
= ( cS @ X0 ) ) ),
inference(equality_resolution,[],[f306]) ).
thf(f487,plain,
! [X0: $i] :
( ( cS
@ ( sK6
@ ^ [Y0: $i] :
( Y0
!= ( cS @ X0 ) ) ) )
= X0 ),
inference(forward_subsumption_resolution,[],[f486,f52]) ).
thf(f488,plain,
! [X0: $i] : ( c0 != X0 ),
inference(constrained_superposition,[],[f52,f487]) ).
thf(f503,plain,
c0 != c0,
inference(imitation,[],[f488]) ).
thf(f505,plain,
$false,
inference(trivial_inequality_removal,[],[f503]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : NUM814^5 : TPTP v9.3.1. Bugfixed v5.2.0.
% 0.00/0.06 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.10/0.20 % Computer : n013.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 13:01:06 UTC 2026
% 0.10/0.20 % CPUTime :
% 0.10/0.20 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.10/0.24 Running higher-order theorem proving
% 0.10/0.25 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
% 0.23/0.31 % (2067805)Detected a higher-order problem, will run a greedy HOL sequence.
% 0.23/0.31 % (2067810)lrs+10_40_drc=off:e2e=on:si=on:uwa=one_side_interpreted:random_seed=2547949973:s2a=on:i=87:rtra=on:ntd=on_2999 on theBenchmark for (2999ds/87Mi)
% 0.23/0.31 % (2067812)lrs+10_1_cnfonf=off:si=on:uwa=one_side_interpreted:random_seed=900931402:i=3:rtra=on:inj=on:ntd=on_2999 on theBenchmark for (2999ds/3Mi)
% 0.23/0.31 % (2067811)lrs+10_16_si=on:nwc=1.5:random_seed=3135117847:i=18:kws=arity_squared:rtra=on:fe=abstraction:ntd=on_2999 on theBenchmark for (2999ds/18Mi)
% 0.23/0.31 % (2067813)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=758450320:hsq=on:hsqr=16,1:s2a=on:i=634:add=on:nm=16:nicw=on:rtra=on:gtg=position:ss=included:ixr=off:c=on:inj=on:ntd=on:rawr=on_2999 on theBenchmark for (2999ds/634Mi)
% 0.23/0.31 % (2067816)WARNING Broken Constraint: if ho_split_queue_ratios(1,8) has been set then ho_split_queue(off) is equal to on
% 0.23/0.31 % (2067816)WARNING Broken Constraint: if sine_to_age_tolerance(5) has been set then sine_to_age(off) is equal to on or sine_to_pred_levels(off) is not equal to off or sine_level_split_queue(off) is equal to on
% 0.23/0.31 % (2067812)Refutation not found, incomplete strategy
% 0.23/0.31 % (2067812)------------------------------
% 0.23/0.31 % (2067812)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.23/0.31 % (2067812)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.23/0.31 % (2067812)CaDiCaL version: 2.1.3
% 0.23/0.31 % (2067812)Termination reason: Refutation not found, incomplete strategy
% 0.23/0.31 % (2067812)Time elapsed: 0.002 s
% 0.23/0.31 % (2067812)Peak memory usage: 12 MB
% 0.23/0.31 % (2067812)Instructions burned: 2 (million)
% 0.23/0.31 % (2067812)------------------------------
% 0.23/0.31 % (2067812)------------------------------
% 0.23/0.31 % (2067816)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=2977282519:hsqr=1,8:i=157:s2at=5:add=on:nm=2:rtra=on_2999 on theBenchmark for (2999ds/157Mi)
% 0.23/0.31 % (2067816)Refutation not found, incomplete strategy
% 0.23/0.31 % (2067816)------------------------------
% 0.23/0.31 % (2067816)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.23/0.31 % (2067816)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.23/0.31 % (2067816)CaDiCaL version: 2.1.3
% 0.23/0.31 % (2067816)Termination reason: Refutation not found, incomplete strategy
% 0.23/0.31 % (2067816)Time elapsed: 0.004 s
% 0.23/0.31 % (2067816)Peak memory usage: 12 MB
% 0.23/0.31 % (2067816)Instructions burned: 8 (million)
% 0.23/0.31 % (2067816)------------------------------
% 0.23/0.31 % (2067816)------------------------------
% 0.23/0.31 % (2067811)Instruction limit reached!
% 0.23/0.31 % (2067811)------------------------------
% 0.23/0.31 % (2067811)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.23/0.31 % (2067811)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.23/0.31 % (2067811)CaDiCaL version: 2.1.3
% 0.23/0.31 % (2067811)Termination reason: Instruction limit
% 0.23/0.31 % (2067811)Termination phase: Saturation
% 0.23/0.31 % (2067811)Time elapsed: 0.010 s
% 0.23/0.31 % (2067811)Peak memory usage: 12 MB
% 0.23/0.31 % (2067811)Instructions burned: 18 (million)
% 0.23/0.31 % (2067810) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-2067805-2067810"...
% 0.23/0.31 % (2067810)...printing done.
% 0.23/0.31 % (2067810)Refutation found. Thanks to Tanya!
% 0.23/0.31 % SZS status Theorem for theBenchmark
% 0.23/0.31 % SZS output start Proof for theBenchmark
% See solution above
% 0.23/0.31 % (2067810)------------------------------
% 0.23/0.31 % (2067810)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.23/0.31 % (2067810)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.23/0.31 % (2067810)CaDiCaL version: 2.1.3
% 0.23/0.31 % (2067810)Termination reason: Refutation
% 0.23/0.31 % (2067810)Time elapsed: 0.015 s
% 0.23/0.31 % (2067810)Peak memory usage: 12 MB
% 0.23/0.31 % (2067810)Instructions burned: 22 (million)
% 0.23/0.31 % (2067805)Success in time 0.047 s
% 0.23/0.31 % Vampire exiting
%------------------------------------------------------------------------------