%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : ANA101^1 : TPTP v9.3.1. Released v7.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% Computer : n016.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 07:45:55 AM UTC 2026
% Result : Theorem 0.21s 0.29s
% Output : Refutation 0.21s
% Verified :
% SZS Type : Refutation
% Derivation depth : 17
% Number of leaves : 4
% Syntax : Number of formulae : 31 ( 13 unt; 0 typ; 0 def)
% Number of atoms : 99 ( 43 equ; 0 cnn)
% Maximal formula atoms : 2 ( 3 avg)
% Number of connectives : 485 ( 22 ~; 8 |; 3 &; 445 @)
% ( 0 <=>; 7 =>; 0 <=; 0 <~>)
% Maximal formula depth : 9 ( 5 avg)
% Number of types : 3 ( 2 usr)
% Number of type conns : 56 ( 56 >; 0 *; 0 +; 0 <<)
% Number of symbols : 18 ( 15 usr; 3 con; 0-4 aty)
% Number of variables : 109 ( 33 ^; 68 !; 8 ?; 109 :)
% Comments :
%------------------------------------------------------------------------------
thf(type_def_5,type,
'type/realax/real': $tType ).
thf(type_def_6,type,
sTfun: ( $tType * $tType ) > $tType ).
thf(type_def_7,type,
sK0: $tType ).
thf(func_def_0,type,
'const/sets/FINITE':
!>[X0: $tType] : ( ( X0 > $o ) > $o ) ).
thf(func_def_1,type,
'const/realax/real_sub': 'type/realax/real' > 'type/realax/real' > 'type/realax/real' ).
thf(func_def_2,type,
'const/realax/real_neg': 'type/realax/real' > 'type/realax/real' ).
thf(func_def_3,type,
'const/realax/real_add': 'type/realax/real' > 'type/realax/real' > 'type/realax/real' ).
thf(func_def_4,type,
'const/iterate/sum':
!>[X0: $tType] : ( ( X0 > $o ) > ( X0 > 'type/realax/real' ) > 'type/realax/real' ) ).
thf(func_def_6,type,
db0:
!>[X0: $tType] : X0 ).
thf(func_def_7,type,
vLAM:
!>[X0: $tType,X1: $tType] : ( X1 > X0 > X1 ) ).
thf(func_def_10,type,
sK1: sK0 > $o ).
thf(func_def_11,type,
sK2: sK0 > 'type/realax/real' ).
thf(func_def_12,type,
sK3: sK0 > 'type/realax/real' ).
thf(func_def_13,type,
sK4:
!>[X0: $tType] : ( ( X0 > 'type/realax/real' ) > ( X0 > 'type/realax/real' ) > X0 ) ).
thf(func_def_14,type,
sK5: ( sK0 > 'type/realax/real' ) > ( sK0 > 'type/realax/real' ) > ( sK0 > 'type/realax/real' ) > sK0 ).
thf(func_def_15,type,
sK6: ( sK0 > 'type/realax/real' ) > ( sK0 > 'type/realax/real' ) > ( sK0 > 'type/realax/real' ) > ( sK0 > 'type/realax/real' ) > sK0 ).
thf(func_def_16,type,
sK7: sK0 ).
thf(f1,axiom,
! [X0: $tType,X2: X0 > $o,X1: X0 > 'type/realax/real'] :
( ( 'const/realax/real_neg' @ ( 'const/iterate/sum' @ X0 @ X2 @ X1 ) )
= ( 'const/iterate/sum' @ X0 @ X2
@ ^ [X3: X0] : ( 'const/realax/real_neg' @ ( X1 @ X3 ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p','thm/iterate/SUM_NEG_') ).
thf(f2,axiom,
! [X0: $tType,X2: X0 > 'type/realax/real',X3: X0 > $o,X1: X0 > 'type/realax/real'] :
( ( 'const/sets/FINITE' @ X0 @ X3 )
=> ( ( 'const/realax/real_add' @ ( 'const/iterate/sum' @ X0 @ X3 @ X1 ) @ ( 'const/iterate/sum' @ X0 @ X3 @ X2 ) )
= ( 'const/iterate/sum' @ X0 @ X3
@ ^ [X4: X0] : ( 'const/realax/real_add' @ ( X1 @ X4 ) @ ( X2 @ X4 ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p','thm/iterate/SUM_ADD_') ).
thf(f3,axiom,
! [X0: 'type/realax/real',X1: 'type/realax/real'] :
( ( 'const/realax/real_sub' @ X0 @ X1 )
= ( 'const/realax/real_add' @ X0 @ ( 'const/realax/real_neg' @ X1 ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p','thm/realax/real_sub_') ).
thf(f4,conjecture,
! [X0: $tType,X3: X0 > $o,X2: X0 > 'type/realax/real',X1: X0 > 'type/realax/real'] :
( ( 'const/sets/FINITE' @ X0 @ X3 )
=> ( ( 'const/iterate/sum' @ X0 @ X3
@ ^ [X4: X0] : ( 'const/realax/real_sub' @ ( X1 @ X4 ) @ ( X2 @ X4 ) ) )
= ( 'const/realax/real_sub' @ ( 'const/iterate/sum' @ X0 @ X3 @ X1 ) @ ( 'const/iterate/sum' @ X0 @ X3 @ X2 ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p','thm/iterate/SUM_SUB_') ).
thf(f5,negated_conjecture,
~ ! [X0: $tType,X3: X0 > $o,X2: X0 > 'type/realax/real',X1: X0 > 'type/realax/real'] :
( ( 'const/sets/FINITE' @ X0 @ X3 )
=> ( ( 'const/iterate/sum' @ X0 @ X3
@ ^ [X4: X0] : ( 'const/realax/real_sub' @ ( X1 @ X4 ) @ ( X2 @ X4 ) ) )
= ( 'const/realax/real_sub' @ ( 'const/iterate/sum' @ X0 @ X3 @ X1 ) @ ( 'const/iterate/sum' @ X0 @ X3 @ X2 ) ) ) ),
inference(negated_conjecture,[status(cth)],[f4]) ).
thf(f6,plain,
! [X0: $tType,X1: X0 > $o,X2: X0 > 'type/realax/real'] :
( ( 'const/realax/real_neg' @ ( 'const/iterate/sum' @ X0 @ X1 @ X2 ) )
= ( 'const/iterate/sum' @ X0 @ X1
@ ^ [X3: X0] : ( 'const/realax/real_neg' @ ( X2 @ X3 ) ) ) ),
inference(rectify,[],[f1]) ).
thf(f7,plain,
! [X0: $tType,X1: X0 > $o,X2: X0 > 'type/realax/real'] :
( ( 'const/iterate/sum' @ X0 @ X1
@ ^ [Y0: X0] : ( 'const/realax/real_neg' @ ( X2 @ Y0 ) ) )
= ( 'const/realax/real_neg' @ ( 'const/iterate/sum' @ X0 @ X1 @ X2 ) ) ),
inference(fool_elimination,[],[f6]) ).
thf(f8,plain,
~ ! [X0: $tType,X1: X0 > $o,X2: X0 > 'type/realax/real',X3: X0 > 'type/realax/real'] :
( ( 'const/sets/FINITE' @ X0 @ X1 )
=> ( ( 'const/iterate/sum' @ X0 @ X1
@ ^ [X4: X0] : ( 'const/realax/real_sub' @ ( X3 @ X4 ) @ ( X2 @ X4 ) ) )
= ( 'const/realax/real_sub' @ ( 'const/iterate/sum' @ X0 @ X1 @ X3 ) @ ( 'const/iterate/sum' @ X0 @ X1 @ X2 ) ) ) ),
inference(rectify,[],[f5]) ).
thf(f9,plain,
~ ! [X0: $tType,X3: X0 > 'type/realax/real',X2: X0 > 'type/realax/real',X1: X0 > $o] :
( ( $true
= ( 'const/sets/FINITE' @ X0 @ X1 ) )
=> ( ( 'const/iterate/sum' @ X0 @ X1
@ ^ [Y0: X0] : ( 'const/realax/real_sub' @ ( X3 @ Y0 ) @ ( X2 @ Y0 ) ) )
= ( 'const/realax/real_sub' @ ( 'const/iterate/sum' @ X0 @ X1 @ X3 ) @ ( 'const/iterate/sum' @ X0 @ X1 @ X2 ) ) ) ),
inference(fool_elimination,[],[f8]) ).
thf(f10,plain,
! [X0: $tType,X1: X0 > 'type/realax/real',X2: X0 > $o,X3: X0 > 'type/realax/real'] :
( ( 'const/sets/FINITE' @ X0 @ X2 )
=> ( ( 'const/realax/real_add' @ ( 'const/iterate/sum' @ X0 @ X2 @ X3 ) @ ( 'const/iterate/sum' @ X0 @ X2 @ X1 ) )
= ( 'const/iterate/sum' @ X0 @ X2
@ ^ [X4: X0] : ( 'const/realax/real_add' @ ( X3 @ X4 ) @ ( X1 @ X4 ) ) ) ) ),
inference(rectify,[],[f2]) ).
thf(f11,plain,
! [X0: $tType,X2: X0 > $o,X1: X0 > 'type/realax/real',X3: X0 > 'type/realax/real'] :
( ( $true
= ( 'const/sets/FINITE' @ X0 @ X2 ) )
=> ( ( 'const/iterate/sum' @ X0 @ X2
@ ^ [Y0: X0] : ( 'const/realax/real_add' @ ( X3 @ Y0 ) @ ( X1 @ Y0 ) ) )
= ( 'const/realax/real_add' @ ( 'const/iterate/sum' @ X0 @ X2 @ X3 ) @ ( 'const/iterate/sum' @ X0 @ X2 @ X1 ) ) ) ),
inference(fool_elimination,[],[f10]) ).
thf(f12,plain,
? [X0: $tType,X1: X0 > $o,X3: X0 > 'type/realax/real',X2: X0 > 'type/realax/real'] :
( ( ( 'const/iterate/sum' @ X0 @ X1
@ ^ [Y0: X0] : ( 'const/realax/real_sub' @ ( X3 @ Y0 ) @ ( X2 @ Y0 ) ) )
!= ( 'const/realax/real_sub' @ ( 'const/iterate/sum' @ X0 @ X1 @ X3 ) @ ( 'const/iterate/sum' @ X0 @ X1 @ X2 ) ) )
& ( $true
= ( 'const/sets/FINITE' @ X0 @ X1 ) ) ),
inference(ennf_transformation,[],[f9]) ).
thf(f13,plain,
! [X0: $tType,X1: X0 > 'type/realax/real',X3: X0 > 'type/realax/real',X2: X0 > $o] :
( ( $true
!= ( 'const/sets/FINITE' @ X0 @ X2 ) )
| ( ( 'const/iterate/sum' @ X0 @ X2
@ ^ [Y0: X0] : ( 'const/realax/real_add' @ ( X3 @ Y0 ) @ ( X1 @ Y0 ) ) )
= ( 'const/realax/real_add' @ ( 'const/iterate/sum' @ X0 @ X2 @ X3 ) @ ( 'const/iterate/sum' @ X0 @ X2 @ X1 ) ) ) ),
inference(ennf_transformation,[],[f11]) ).
thf(f14,plain,
? [X0: $tType,X1: X0 > $o,X2: X0 > 'type/realax/real',X3: X0 > 'type/realax/real'] :
( ( ( 'const/realax/real_sub' @ ( 'const/iterate/sum' @ X0 @ X1 @ X2 ) @ ( 'const/iterate/sum' @ X0 @ X1 @ X3 ) )
!= ( 'const/iterate/sum' @ X0 @ X1
@ ^ [Y0: X0] : ( 'const/realax/real_sub' @ ( X2 @ Y0 ) @ ( X3 @ Y0 ) ) ) )
& ( $true
= ( 'const/sets/FINITE' @ X0 @ X1 ) ) ),
inference(rectify,[],[f12]) ).
thf(f15,plain,
( ( ( 'const/realax/real_sub' @ ( 'const/iterate/sum' @ sK0 @ sK1 @ sK2 ) @ ( 'const/iterate/sum' @ sK0 @ sK1 @ sK3 ) )
!= ( 'const/iterate/sum' @ sK0 @ sK1
@ ^ [Y0: sK0] : ( 'const/realax/real_sub' @ ( sK2 @ Y0 ) @ ( sK3 @ Y0 ) ) ) )
& ( ( 'const/sets/FINITE' @ sK0 @ sK1 )
= $true ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK0,sK1,sK2,sK3]),skolemize(X0,sK0),skolemize(X1,sK1),skolemize(X2,sK2),skolemize(X3,sK3)],[f14]) ).
thf(f16,plain,
! [X0: $tType,X1: X0 > 'type/realax/real',X2: X0 > 'type/realax/real',X3: X0 > $o] :
( ( ( 'const/sets/FINITE' @ X0 @ X3 )
!= $true )
| ( ( 'const/realax/real_add' @ ( 'const/iterate/sum' @ X0 @ X3 @ X2 ) @ ( 'const/iterate/sum' @ X0 @ X3 @ X1 ) )
= ( 'const/iterate/sum' @ X0 @ X3
@ ^ [Y0: X0] : ( 'const/realax/real_add' @ ( X2 @ Y0 ) @ ( X1 @ Y0 ) ) ) ) ),
inference(rectify,[],[f13]) ).
thf(f17,plain,
( ( 'const/sets/FINITE' @ sK0 @ sK1 )
= $true ),
inference(cnf_transformation,[],[f15]) ).
thf(f18,plain,
( ( 'const/realax/real_sub' @ ( 'const/iterate/sum' @ sK0 @ sK1 @ sK2 ) @ ( 'const/iterate/sum' @ sK0 @ sK1 @ sK3 ) )
!= ( 'const/iterate/sum' @ sK0 @ sK1
@ ^ [Y0: sK0] : ( 'const/realax/real_sub' @ ( sK2 @ Y0 ) @ ( sK3 @ Y0 ) ) ) ),
inference(cnf_transformation,[],[f15]) ).
thf(f19,plain,
! [X0: $tType,X2: X0 > 'type/realax/real',X3: X0 > $o,X1: X0 > 'type/realax/real'] :
( ( ( 'const/sets/FINITE' @ X0 @ X3 )
!= $true )
| ( ( 'const/realax/real_add' @ ( 'const/iterate/sum' @ X0 @ X3 @ X2 ) @ ( 'const/iterate/sum' @ X0 @ X3 @ X1 ) )
= ( 'const/iterate/sum' @ X0 @ X3
@ ^ [Y0: X0] : ( 'const/realax/real_add' @ ( X2 @ Y0 ) @ ( X1 @ Y0 ) ) ) ) ),
inference(cnf_transformation,[],[f16]) ).
thf(f20,plain,
! [X0: 'type/realax/real',X1: 'type/realax/real'] :
( ( 'const/realax/real_sub' @ X0 @ X1 )
= ( 'const/realax/real_add' @ X0 @ ( 'const/realax/real_neg' @ X1 ) ) ),
inference(cnf_transformation,[],[f3]) ).
thf(f21,plain,
! [X0: $tType,X2: X0 > 'type/realax/real',X1: X0 > $o] :
( ( 'const/iterate/sum' @ X0 @ X1
@ ^ [Y0: X0] : ( 'const/realax/real_neg' @ ( X2 @ Y0 ) ) )
= ( 'const/realax/real_neg' @ ( 'const/iterate/sum' @ X0 @ X1 @ X2 ) ) ),
inference(cnf_transformation,[],[f7]) ).
thf(f38,plain,
! [X0: sK0 > 'type/realax/real',X1: sK0 > 'type/realax/real'] :
( ( ( 'const/iterate/sum' @ sK0 @ sK1
@ ^ [Y0: sK0] : ( 'const/realax/real_add' @ ( X0 @ Y0 ) @ ( X1 @ Y0 ) ) )
= ( 'const/realax/real_add' @ ( 'const/iterate/sum' @ sK0 @ sK1 @ X0 ) @ ( 'const/iterate/sum' @ sK0 @ sK1 @ X1 ) ) )
| ( $true != $true ) ),
inference(constrained_superposition,[],[f19,f17]) ).
thf(f39,plain,
! [X0: sK0 > 'type/realax/real',X1: sK0 > 'type/realax/real'] :
( ( 'const/iterate/sum' @ sK0 @ sK1
@ ^ [Y0: sK0] : ( 'const/realax/real_add' @ ( X0 @ Y0 ) @ ( X1 @ Y0 ) ) )
= ( 'const/realax/real_add' @ ( 'const/iterate/sum' @ sK0 @ sK1 @ X0 ) @ ( 'const/iterate/sum' @ sK0 @ sK1 @ X1 ) ) ),
inference(trivial_inequality_removal,[],[f38]) ).
thf(f48,plain,
! [X0: sK0 > 'type/realax/real',X1: sK0 > 'type/realax/real'] :
( ( ( 'const/realax/real_sub' @ ( 'const/iterate/sum' @ sK0 @ sK1 @ sK2 ) @ ( 'const/iterate/sum' @ sK0 @ sK1 @ sK3 ) )
!= ( 'const/realax/real_add' @ ( 'const/iterate/sum' @ sK0 @ sK1 @ X0 ) @ ( 'const/iterate/sum' @ sK0 @ sK1 @ X1 ) ) )
| ( ( ^ [Y0: sK0] : ( 'const/realax/real_add' @ ( X0 @ Y0 ) @ ( X1 @ Y0 ) ) )
!= ( ^ [Y0: sK0] : ( 'const/realax/real_sub' @ ( sK2 @ Y0 ) @ ( sK3 @ Y0 ) ) ) ) ),
inference(constrained_superposition,[],[f18,f39]) ).
thf(f58,plain,
! [X0: sK0 > 'type/realax/real',X1: sK0 > 'type/realax/real'] :
( ( ( ^ [Y0: sK0] :
( 'const/realax/real_add' @ ( X1 @ Y0 )
@ ( ^ [Y1: sK0] : ( 'const/realax/real_neg' @ ( X0 @ Y1 ) )
@ Y0 ) ) )
!= ( ^ [Y0: sK0] : ( 'const/realax/real_sub' @ ( sK2 @ Y0 ) @ ( sK3 @ Y0 ) ) ) )
| ( ( 'const/realax/real_add' @ ( 'const/iterate/sum' @ sK0 @ sK1 @ X1 ) @ ( 'const/realax/real_neg' @ ( 'const/iterate/sum' @ sK0 @ sK1 @ X0 ) ) )
!= ( 'const/realax/real_sub' @ ( 'const/iterate/sum' @ sK0 @ sK1 @ sK2 ) @ ( 'const/iterate/sum' @ sK0 @ sK1 @ sK3 ) ) ) ),
inference(constrained_superposition,[],[f48,f21]) ).
thf(f63,plain,
! [X0: sK0 > 'type/realax/real',X1: sK0 > 'type/realax/real'] :
( ( ( 'const/realax/real_add' @ ( 'const/iterate/sum' @ sK0 @ sK1 @ X1 ) @ ( 'const/realax/real_neg' @ ( 'const/iterate/sum' @ sK0 @ sK1 @ X0 ) ) )
!= ( 'const/realax/real_sub' @ ( 'const/iterate/sum' @ sK0 @ sK1 @ sK2 ) @ ( 'const/iterate/sum' @ sK0 @ sK1 @ sK3 ) ) )
| ( ( ^ [Y0: sK0] : ( 'const/realax/real_add' @ ( X1 @ Y0 ) @ ( 'const/realax/real_neg' @ ( X0 @ Y0 ) ) ) )
!= ( ^ [Y0: sK0] : ( 'const/realax/real_sub' @ ( sK2 @ Y0 ) @ ( sK3 @ Y0 ) ) ) ) ),
inference(beta-eta_normalization,[],[f58]) ).
thf(f66,plain,
! [X0: sK0 > 'type/realax/real',X1: sK0 > 'type/realax/real'] :
( ( ( 'const/realax/real_sub' @ ( 'const/iterate/sum' @ sK0 @ sK1 @ sK2 ) @ ( 'const/iterate/sum' @ sK0 @ sK1 @ sK3 ) )
!= ( 'const/realax/real_sub' @ ( 'const/iterate/sum' @ sK0 @ sK1 @ X1 ) @ ( 'const/iterate/sum' @ sK0 @ sK1 @ X0 ) ) )
| ( ( ^ [Y0: sK0] : ( 'const/realax/real_add' @ ( X1 @ Y0 ) @ ( 'const/realax/real_neg' @ ( X0 @ Y0 ) ) ) )
!= ( ^ [Y0: sK0] : ( 'const/realax/real_sub' @ ( sK2 @ Y0 ) @ ( sK3 @ Y0 ) ) ) ) ),
inference(forward_demodulation,[],[f63,f20]) ).
thf(f71,plain,
( ( ^ [Y0: sK0] : ( 'const/realax/real_add' @ ( sK2 @ Y0 ) @ ( 'const/realax/real_neg' @ ( sK3 @ Y0 ) ) ) )
!= ( ^ [Y0: sK0] : ( 'const/realax/real_sub' @ ( sK2 @ Y0 ) @ ( sK3 @ Y0 ) ) ) ),
inference(equality_resolution,[],[f66]) ).
thf(f76,plain,
( ( ^ [Y0: sK0] : ( 'const/realax/real_add' @ ( sK2 @ Y0 ) @ ( 'const/realax/real_neg' @ ( sK3 @ Y0 ) ) )
@ sK7 )
!= ( ^ [Y0: sK0] : ( 'const/realax/real_sub' @ ( sK2 @ Y0 ) @ ( sK3 @ Y0 ) )
@ sK7 ) ),
inference(negative_extensionality,[],[f71]) ).
thf(f77,plain,
( ( 'const/realax/real_sub' @ ( sK2 @ sK7 ) @ ( sK3 @ sK7 ) )
!= ( 'const/realax/real_add' @ ( sK2 @ sK7 ) @ ( 'const/realax/real_neg' @ ( sK3 @ sK7 ) ) ) ),
inference(beta-eta_normalization,[],[f76]) ).
thf(f78,plain,
$false,
inference(forward_subsumption_resolution,[],[f77,f20]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : ANA101^1 : TPTP v9.3.1. Released v7.0.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.08/0.19 % Computer : n016.cluster.edu
% 0.08/0.19 % Model : x86_64 x86_64
% 0.08/0.19 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.19 % Memory : 8046.5625MB
% 0.08/0.19 % OS : Linux 6.8.0-71-generic
% 0.08/0.19 % CPULimit : 300
% 0.08/0.19 % WCLimit : 300
% 0.08/0.19 % DateTime : Tue Sep 29 17:46:20 UTC 2026
% 0.08/0.20 % CPUTime :
% 0.08/0.20 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.08/0.24 Running higher-order theorem proving
% 0.08/0.25 Running: /export/starexec/sandbox2/solver/bin/vampire-ho --input_syntax tptp --output_axiom_names on --mode casc -m 16384 --cores 7 -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.21/0.29 % (682972)Detected a higher-order problem, will run a greedy HOL sequence.
% 0.21/0.29 % (682983)WARNING Broken Constraint: if ho_split_queue_ratios(1,8) has been set then ho_split_queue(off) is equal to on
% 0.21/0.29 % (682983)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
% 0.21/0.29 % (682983)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=1705531792:hsqr=1,8:i=157:s2at=5:add=on:nm=2:rtra=on_2999 on theBenchmark for (2999ds/157Mi)
% 0.21/0.29 % (682978)lrs+10_16_si=on:nwc=1.5:random_seed=3596580475:i=18:kws=arity_squared:rtra=on:fe=abstraction:ntd=on_2999 on theBenchmark for (2999ds/18Mi)
% 0.21/0.29 % (682979)lrs+10_1_cnfonf=off:si=on:uwa=one_side_interpreted:random_seed=3141559996:i=3:rtra=on:inj=on:ntd=on_2999 on theBenchmark for (2999ds/3Mi)
% 0.21/0.29 % (682977)lrs+10_40_drc=off:e2e=on:si=on:uwa=one_side_interpreted:random_seed=97715821:s2a=on:i=87:rtra=on:ntd=on_2999 on theBenchmark for (2999ds/87Mi)
% 0.21/0.29 % (682980)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=3241170141: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)
% 0.21/0.29 % (682981)dis+21_4_fde=none:e2e=on:si=on:uwa=off:foolp=on:random_seed=1712370682:i=24:av=off:rtra=on_2999 on theBenchmark for (2999ds/24Mi)
% 0.21/0.29 % (682982)lrs+10_1_to=lpo:sil=128000:e2e=on:si=on:random_seed=2984115373:s2a=on:i=75:s2at=3:aac=none:bd=preordered:rtra=on:fe=abstraction_2999 on theBenchmark for (2999ds/75Mi)
% 0.21/0.29 % (682980)Refutation not found, incomplete strategy
% 0.21/0.29 % (682980)------------------------------
% 0.21/0.29 % (682980)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.21/0.29 % (682979)Instruction limit reached!
% 0.21/0.29 % (682979)------------------------------
% 0.21/0.29 % (682979)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.21/0.29 % (682980)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.21/0.29 % (682979)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.21/0.29 % (682980)CaDiCaL version: 2.1.3
% 0.21/0.29 % (682979)CaDiCaL version: 2.1.3
% 0.21/0.29 % (682979)Termination reason: Instruction limit
% 0.21/0.29 % (682979)Termination phase: Saturation
% 0.21/0.29 % (682980)Termination reason: Refutation not found, incomplete strategy
% 0.21/0.29 % (682980)Time elapsed: 0.003 s
% 0.21/0.29 % (682979)Time elapsed: 0.003 s
% 0.21/0.29 % (682980)Peak memory usage: 12 MB
% 0.21/0.29 % (682979)Peak memory usage: 12 MB
% 0.21/0.29 % (682980)Instructions burned: 3 (million)
% 0.21/0.29 % (682979)Instructions burned: 4 (million)
% 0.21/0.29 % (682980)------------------------------
% 0.21/0.29 % (682980)------------------------------
% 0.21/0.29 % (682978) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-682972-682978"...
% 0.21/0.29 % (682978)...printing done.
% 0.21/0.29 % (682978)Refutation found. Thanks to Tanya!
% 0.21/0.29 % SZS status Theorem for theBenchmark
% 0.21/0.29 % SZS output start Proof for theBenchmark
% See solution above
% 0.21/0.29 % (682978)------------------------------
% 0.21/0.29 % (682978)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.21/0.29 % (682978)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.21/0.29 % (682978)CaDiCaL version: 2.1.3
% 0.21/0.29 % (682978)Termination reason: Refutation
% 0.21/0.29 % (682978)Time elapsed: 0.010 s
% 0.21/0.29 % (682978)Peak memory usage: 12 MB
% 0.21/0.29 % (682978)Instructions burned: 18 (million)
% 0.21/0.29 % (682972)Success in time 0.035 s
% 0.21/0.29 % Vampire exiting
%------------------------------------------------------------------------------