%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : NUM766^1 : TPTP v9.3.1. Released v3.7.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% Computer : n019.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 08:18:49 AM UTC 2026
% Result : Theorem 0.20s 0.33s
% Output : Refutation 0.20s
% Verified :
% SZS Type : Refutation
% Derivation depth : 23
% Number of leaves : 9
% Syntax : Number of formulae : 62 ( 32 unt; 0 typ; 1 def)
% Number of atoms : 277 ( 85 equ; 0 cnn)
% Maximal formula atoms : 5 ( 4 avg)
% Number of connectives : 646 ( 77 ~; 48 |; 0 &; 508 @)
% ( 1 <=>; 12 =>; 0 <=; 0 <~>)
% Maximal formula depth : 11 ( 6 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of types : 3 ( 2 usr)
% Number of type conns : 0 ( 0 >; 0 *; 0 +; 0 <<)
% Number of symbols : 21 ( 18 usr; 6 con; 0-4 aty)
% Number of variables : 120 ( 0 sgn 119 !; 1 ?; 120 :)
% Comments :
%------------------------------------------------------------------------------
thf(type_def_5,type,
frac: $tType ).
thf(type_def_6,type,
nat: $tType ).
thf(type_def_7,type,
sTfun: ( $tType * $tType ) > $tType ).
thf(func_def_0,type,
x: frac ).
thf(func_def_1,type,
y: frac ).
thf(func_def_2,type,
ts: nat > nat > nat ).
thf(func_def_3,type,
num: frac > nat ).
thf(func_def_4,type,
den: frac > nat ).
thf(func_def_5,type,
pl: nat > nat > nat ).
thf(func_def_7,type,
eq: frac > frac > $o ).
thf(func_def_8,type,
pf: frac > frac > frac ).
thf(func_def_9,type,
fr: nat > nat > frac ).
thf(func_def_10,type,
ind: ( nat > $o ) > nat ).
thf(func_def_11,type,
amone: ( nat > $o ) > $o ).
thf(func_def_14,type,
db0:
!>[X0: $tType] : X0 ).
thf(func_def_15,type,
vEQ:
!>[X0: $tType] : ( X0 > X0 > $o ) ).
thf(func_def_16,type,
vLAM:
!>[X0: $tType,X1: $tType] : ( X1 > X0 > X1 ) ).
thf(func_def_17,type,
sK0: nat ).
thf(func_def_18,type,
vNOT: $o > $o ).
thf(f1,axiom,
~ ! [X0: nat] :
( ( ts @ ( num @ x ) @ ( den @ y ) )
!= ( pl @ ( ts @ ( num @ y ) @ ( den @ x ) ) @ X0 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m) ).
thf(f3,axiom,
! [X1: frac,X2: frac,X0: frac] :
( ( eq @ X0 @ X1 )
=> ( ( eq @ X1 @ X2 )
=> ( eq @ X0 @ X2 ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',satz39) ).
thf(f4,axiom,
! [X1: frac,X2: frac,X0: frac,X3: frac] :
( ( eq @ X0 @ X1 )
=> ( ( eq @ X2 @ X3 )
=> ( eq @ ( pf @ X0 @ X2 ) @ ( pf @ X1 @ X3 ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',satz56) ).
thf(f5,axiom,
! [X1: nat,X0: frac] : ( eq @ X0 @ ( fr @ ( ts @ ( num @ X0 ) @ X1 ) @ ( ts @ ( den @ X0 ) @ X1 ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',satz40) ).
thf(f7,axiom,
! [X0: nat,X1: nat] :
( ( ts @ X0 @ X1 )
= ( ts @ X1 @ X0 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',satz29) ).
thf(f8,axiom,
! [X1: nat,X0: nat,X2: nat] : ( eq @ ( pf @ ( fr @ X0 @ X2 ) @ ( fr @ X1 @ X2 ) ) @ ( fr @ ( pl @ X0 @ X1 ) @ X2 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',satz57) ).
thf(f10,axiom,
! [X0: frac,X1: nat] : ( eq @ ( fr @ ( ts @ ( num @ X0 ) @ X1 ) @ ( ts @ ( den @ X0 ) @ X1 ) ) @ X0 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',satz40a) ).
thf(f11,conjecture,
~ ! [X0: frac] :
~ ( eq @ ( pf @ y @ X0 ) @ x ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',satz67a) ).
thf(f12,negated_conjecture,
~ ~ ! [X0: frac] :
~ ( eq @ ( pf @ y @ X0 ) @ x ),
inference(negated_conjecture,[status(cth)],[f11]) ).
thf(f15,plain,
~ ~ ! [X0: frac] :
~ ( eq @ ( pf @ y @ X0 ) @ x ),
inference(rectify,[],[f12]) ).
thf(f16,plain,
~ ~ ! [X0: frac] :
( ( eq @ ( pf @ y @ X0 ) @ x )
!= $true ),
inference(fool_elimination,[],[f15]) ).
thf(f17,plain,
! [X0: frac,X1: frac,X2: frac,X3: frac] :
( ( eq @ X2 @ X0 )
=> ( ( eq @ X1 @ X3 )
=> ( eq @ ( pf @ X2 @ X1 ) @ ( pf @ X0 @ X3 ) ) ) ),
inference(rectify,[],[f4]) ).
thf(f18,plain,
! [X3: frac,X0: frac,X2: frac,X1: frac] :
( ( ( eq @ X2 @ X0 )
= $true )
=> ( ( ( eq @ X1 @ X3 )
= $true )
=> ( ( eq @ ( pf @ X2 @ X1 ) @ ( pf @ X0 @ X3 ) )
= $true ) ) ),
inference(fool_elimination,[],[f17]) ).
thf(f19,plain,
! [X0: frac,X1: frac,X2: frac] :
( ( eq @ X2 @ X0 )
=> ( ( eq @ X0 @ X1 )
=> ( eq @ X2 @ X1 ) ) ),
inference(rectify,[],[f3]) ).
thf(f20,plain,
! [X2: frac,X1: frac,X0: frac] :
( ( ( eq @ X2 @ X0 )
= $true )
=> ( ( ( eq @ X0 @ X1 )
= $true )
=> ( ( eq @ X2 @ X1 )
= $true ) ) ),
inference(fool_elimination,[],[f19]) ).
thf(f21,plain,
! [X0: nat,X1: nat,X2: nat] : ( eq @ ( pf @ ( fr @ X1 @ X2 ) @ ( fr @ X0 @ X2 ) ) @ ( fr @ ( pl @ X1 @ X0 ) @ X2 ) ),
inference(rectify,[],[f8]) ).
thf(f22,plain,
! [X2: nat,X1: nat,X0: nat] :
( ( eq @ ( pf @ ( fr @ X1 @ X2 ) @ ( fr @ X0 @ X2 ) ) @ ( fr @ ( pl @ X1 @ X0 ) @ X2 ) )
= $true ),
inference(fool_elimination,[],[f21]) ).
thf(f25,plain,
! [X0: nat,X1: frac] : ( eq @ X1 @ ( fr @ ( ts @ ( num @ X1 ) @ X0 ) @ ( ts @ ( den @ X1 ) @ X0 ) ) ),
inference(rectify,[],[f5]) ).
thf(f26,plain,
! [X0: nat,X1: frac] :
( $true
= ( eq @ X1 @ ( fr @ ( ts @ ( num @ X1 ) @ X0 ) @ ( ts @ ( den @ X1 ) @ X0 ) ) ) ),
inference(fool_elimination,[],[f25]) ).
thf(f27,plain,
! [X0: frac,X1: nat] : ( eq @ ( fr @ ( ts @ ( num @ X0 ) @ X1 ) @ ( ts @ ( den @ X0 ) @ X1 ) ) @ X0 ),
inference(rectify,[],[f10]) ).
thf(f28,plain,
! [X0: frac,X1: nat] :
( ( eq @ ( fr @ ( ts @ ( num @ X0 ) @ X1 ) @ ( ts @ ( den @ X0 ) @ X1 ) ) @ X0 )
= $true ),
inference(fool_elimination,[],[f27]) ).
thf(f31,plain,
! [X0: frac] :
( ( eq @ ( pf @ y @ X0 ) @ x )
!= $true ),
inference(flattening,[],[f16]) ).
thf(f35,plain,
? [X0: nat] :
( ( ts @ ( num @ x ) @ ( den @ y ) )
= ( pl @ ( ts @ ( num @ y ) @ ( den @ x ) ) @ X0 ) ),
inference(ennf_transformation,[],[f1]) ).
thf(f36,plain,
! [X3: frac,X0: frac,X2: frac,X1: frac] :
( ( ( eq @ ( pf @ X2 @ X1 ) @ ( pf @ X0 @ X3 ) )
= $true )
| ( ( eq @ X1 @ X3 )
!= $true )
| ( ( eq @ X2 @ X0 )
!= $true ) ),
inference(ennf_transformation,[],[f18]) ).
thf(f37,plain,
! [X3: frac,X2: frac,X0: frac,X1: frac] :
( ( ( eq @ X2 @ X0 )
!= $true )
| ( ( eq @ X1 @ X3 )
!= $true )
| ( ( eq @ ( pf @ X2 @ X1 ) @ ( pf @ X0 @ X3 ) )
= $true ) ),
inference(flattening,[],[f36]) ).
thf(f38,plain,
! [X2: frac,X1: frac,X0: frac] :
( ( ( eq @ X2 @ X1 )
= $true )
| ( ( eq @ X0 @ X1 )
!= $true )
| ( ( eq @ X2 @ X0 )
!= $true ) ),
inference(ennf_transformation,[],[f20]) ).
thf(f39,plain,
! [X1: frac,X0: frac,X2: frac] :
( ( ( eq @ X0 @ X1 )
!= $true )
| ( ( eq @ X2 @ X0 )
!= $true )
| ( ( eq @ X2 @ X1 )
= $true ) ),
inference(flattening,[],[f38]) ).
thf(f40,plain,
! [X0: nat,X1: nat,X2: nat] :
( ( eq @ ( pf @ ( fr @ X1 @ X0 ) @ ( fr @ X2 @ X0 ) ) @ ( fr @ ( pl @ X1 @ X2 ) @ X0 ) )
= $true ),
inference(rectify,[],[f22]) ).
thf(f41,plain,
! [X0: frac,X1: frac,X2: frac,X3: frac] :
( ( ( eq @ X1 @ X2 )
!= $true )
| ( $true
!= ( eq @ X3 @ X0 ) )
| ( ( eq @ ( pf @ X1 @ X3 ) @ ( pf @ X2 @ X0 ) )
= $true ) ),
inference(rectify,[],[f37]) ).
thf(f43,plain,
( ( ts @ ( num @ x ) @ ( den @ y ) )
= ( pl @ ( ts @ ( num @ y ) @ ( den @ x ) ) @ sK0 ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK0]),skolemize(X0,sK0)],[f35]) ).
thf(f44,plain,
! [X0: frac,X1: frac,X2: frac] :
( ( ( eq @ X1 @ X0 )
!= $true )
| ( ( eq @ X2 @ X1 )
!= $true )
| ( ( eq @ X2 @ X0 )
= $true ) ),
inference(rectify,[],[f39]) ).
thf(f45,plain,
! [X2: nat,X0: nat,X1: nat] :
( ( eq @ ( pf @ ( fr @ X1 @ X0 ) @ ( fr @ X2 @ X0 ) ) @ ( fr @ ( pl @ X1 @ X2 ) @ X0 ) )
= $true ),
inference(cnf_transformation,[],[f40]) ).
thf(f46,plain,
! [X0: frac] :
( ( eq @ ( pf @ y @ X0 ) @ x )
!= $true ),
inference(cnf_transformation,[],[f31]) ).
thf(f47,plain,
! [X2: frac,X3: frac,X0: frac,X1: frac] :
( ( ( eq @ ( pf @ X1 @ X3 ) @ ( pf @ X2 @ X0 ) )
= $true )
| ( $true
!= ( eq @ X3 @ X0 ) )
| ( ( eq @ X1 @ X2 )
!= $true ) ),
inference(cnf_transformation,[],[f41]) ).
thf(f48,plain,
! [X0: nat,X1: frac] :
( $true
= ( eq @ X1 @ ( fr @ ( ts @ ( num @ X1 ) @ X0 ) @ ( ts @ ( den @ X1 ) @ X0 ) ) ) ),
inference(cnf_transformation,[],[f26]) ).
thf(f49,plain,
! [X0: nat,X1: nat] :
( ( ts @ X0 @ X1 )
= ( ts @ X1 @ X0 ) ),
inference(cnf_transformation,[],[f7]) ).
thf(f51,plain,
( ( ts @ ( num @ x ) @ ( den @ y ) )
= ( pl @ ( ts @ ( num @ y ) @ ( den @ x ) ) @ sK0 ) ),
inference(cnf_transformation,[],[f43]) ).
thf(f52,plain,
! [X0: frac,X1: nat] :
( ( eq @ ( fr @ ( ts @ ( num @ X0 ) @ X1 ) @ ( ts @ ( den @ X0 ) @ X1 ) ) @ X0 )
= $true ),
inference(cnf_transformation,[],[f28]) ).
thf(f53,plain,
! [X2: frac,X0: frac,X1: frac] :
( ( ( eq @ X2 @ X0 )
= $true )
| ( ( eq @ X2 @ X1 )
!= $true )
| ( ( eq @ X1 @ X0 )
!= $true ) ),
inference(cnf_transformation,[],[f44]) ).
thf(f58,definition,
( spl1_1
<=> ( ( ts @ ( num @ x ) @ ( den @ y ) )
= ( pl @ ( ts @ ( num @ y ) @ ( den @ x ) ) @ sK0 ) ) ),
introduced(definition,[new_symbols(definition,[spl1_1])],[avatar_definition]) ).
thf(f60,plain,
( ( ( ts @ ( num @ x ) @ ( den @ y ) )
= ( pl @ ( ts @ ( num @ y ) @ ( den @ x ) ) @ sK0 ) )
| ~ spl1_1 ),
inference(avatar_component_clause,[],[f58]) ).
thf(f61,plain,
spl1_1,
inference(avatar_split_clause,[],[f51,f58]) ).
thf(f66,plain,
! [X0: nat,X1: frac] :
( $true
= ( eq @ ( fr @ ( ts @ ( num @ X1 ) @ X0 ) @ ( ts @ X0 @ ( den @ X1 ) ) ) @ X1 ) ),
inference(superposition,[],[f52,f49]) ).
thf(f70,plain,
! [X0: frac,X1: frac] :
( ( $true != $true )
| ( $true
!= ( eq @ ( pf @ y @ X0 ) @ X1 ) )
| ( ( eq @ X1 @ x )
!= $true ) ),
inference(superposition,[],[f46,f53]) ).
thf(f71,plain,
! [X0: frac,X1: frac] :
( ( $true
!= ( eq @ ( pf @ y @ X0 ) @ X1 ) )
| ( ( eq @ X1 @ x )
!= $true ) ),
inference(trivial_inequality_removal,[],[f70]) ).
thf(f72,plain,
( ! [X0: nat] :
( ( eq @ ( pf @ ( fr @ ( ts @ ( num @ y ) @ ( den @ x ) ) @ X0 ) @ ( fr @ sK0 @ X0 ) ) @ ( fr @ ( ts @ ( num @ x ) @ ( den @ y ) ) @ X0 ) )
= $true )
| ~ spl1_1 ),
inference(superposition,[],[f45,f60]) ).
thf(f81,plain,
! [X2: frac,X0: frac,X1: frac] :
( ( $true
!= ( eq @ ( pf @ X1 @ X2 ) @ x ) )
| ( $true
!= ( eq @ y @ X1 ) )
| ( ( eq @ X0 @ X2 )
!= $true )
| ( $true != $true ) ),
inference(superposition,[],[f71,f47]) ).
thf(f88,plain,
! [X2: frac,X0: frac,X1: frac] :
( ( $true
!= ( eq @ ( pf @ X1 @ X2 ) @ x ) )
| ( ( eq @ X0 @ X2 )
!= $true )
| ( $true
!= ( eq @ y @ X1 ) ) ),
inference(trivial_inequality_removal,[],[f81]) ).
thf(f93,plain,
! [X2: frac,X3: frac,X0: frac,X1: frac] :
( ( ( eq @ ( pf @ X0 @ X1 ) @ X3 )
!= $true )
| ( ( eq @ X3 @ x )
!= $true )
| ( $true
!= ( eq @ y @ X0 ) )
| ( ( eq @ X2 @ X1 )
!= $true )
| ( $true != $true ) ),
inference(superposition,[],[f88,f53]) ).
thf(f94,plain,
! [X2: frac,X3: frac,X0: frac,X1: frac] :
( ( ( eq @ ( pf @ X0 @ X1 ) @ X3 )
!= $true )
| ( ( eq @ X2 @ X1 )
!= $true )
| ( ( eq @ X3 @ x )
!= $true )
| ( $true
!= ( eq @ y @ X0 ) ) ),
inference(trivial_inequality_removal,[],[f93]) ).
thf(f202,plain,
( ! [X0: nat,X1: frac] :
( ( ( eq @ X1 @ ( fr @ sK0 @ X0 ) )
!= $true )
| ( ( eq @ ( fr @ ( ts @ ( num @ x ) @ ( den @ y ) ) @ X0 ) @ x )
!= $true )
| ( ( eq @ y @ ( fr @ ( ts @ ( num @ y ) @ ( den @ x ) ) @ X0 ) )
!= $true )
| ( $true != $true ) )
| ~ spl1_1 ),
inference(superposition,[],[f94,f72]) ).
thf(f214,plain,
( ! [X0: nat,X1: frac] :
( ( ( eq @ ( fr @ ( ts @ ( num @ x ) @ ( den @ y ) ) @ X0 ) @ x )
!= $true )
| ( ( eq @ X1 @ ( fr @ sK0 @ X0 ) )
!= $true )
| ( ( eq @ y @ ( fr @ ( ts @ ( num @ y ) @ ( den @ x ) ) @ X0 ) )
!= $true ) )
| ~ spl1_1 ),
inference(trivial_inequality_removal,[],[f202]) ).
thf(f523,plain,
( ! [X0: frac] :
( ( ( eq @ y @ ( fr @ ( ts @ ( num @ y ) @ ( den @ x ) ) @ ( ts @ ( den @ y ) @ ( den @ x ) ) ) )
!= $true )
| ( $true != $true )
| ( $true
!= ( eq @ X0 @ ( fr @ sK0 @ ( ts @ ( den @ y ) @ ( den @ x ) ) ) ) ) )
| ~ spl1_1 ),
inference(superposition,[],[f214,f66]) ).
thf(f526,plain,
( ! [X0: frac] :
( ( $true
!= ( eq @ X0 @ ( fr @ sK0 @ ( ts @ ( den @ y ) @ ( den @ x ) ) ) ) )
| ( ( eq @ y @ ( fr @ ( ts @ ( num @ y ) @ ( den @ x ) ) @ ( ts @ ( den @ y ) @ ( den @ x ) ) ) )
!= $true ) )
| ~ spl1_1 ),
inference(trivial_inequality_removal,[],[f523]) ).
thf(f528,plain,
( ! [X0: frac] :
( $true
!= ( eq @ X0 @ ( fr @ sK0 @ ( ts @ ( den @ y ) @ ( den @ x ) ) ) ) )
| ~ spl1_1 ),
inference(forward_subsumption_resolution,[],[f526,f48]) ).
thf(f550,plain,
( ( $true != $true )
| ~ spl1_1 ),
inference(superposition,[],[f528,f52]) ).
thf(f563,plain,
( $false
| ~ spl1_1 ),
inference(trivial_inequality_removal,[],[f550]) ).
thf(f564,plain,
~ spl1_1,
inference(avatar_contradiction_clause,[],[f563]) ).
cnf(s1,plain,
spl1_1,
inference(sat_conversion,[],[f61]) ).
cnf(s6,plain,
~ spl1_1,
inference(sat_conversion,[],[f564]) ).
cnf(s7,plain,
$false,
inference(rat,[],[s1,s6]) ).
thf(f565,plain,
$false,
inference(avatar_sat_refutation,[],[s7]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : NUM766^1 : TPTP v9.3.1. Released v3.7.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.07/0.18 % Computer : n019.cluster.edu
% 0.07/0.18 % Model : x86_64 x86_64
% 0.07/0.18 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.07/0.18 % Memory : 8046.5625MB
% 0.07/0.18 % OS : Linux 6.8.0-71-generic
% 0.07/0.18 % CPULimit : 300
% 0.07/0.18 % WCLimit : 300
% 0.07/0.18 % DateTime : Tue Sep 29 12:54:03 UTC 2026
% 0.07/0.19 % CPUTime :
% 0.07/0.19 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.07/0.22 Running higher-order theorem proving
% 0.07/0.23 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
% 0.20/0.33 % (715023)Detected a higher-order problem, will run a greedy HOL sequence.
% 0.20/0.33 % (715037)dis+21_4_fde=none:e2e=on:si=on:uwa=off:foolp=on:random_seed=1094762666:i=24:av=off:rtra=on_2999 on theBenchmark for (2999ds/24Mi)
% 0.20/0.33 % (715035)lrs+10_1_cnfonf=off:si=on:uwa=one_side_interpreted:random_seed=216924623:i=3:rtra=on:inj=on:ntd=on_2999 on theBenchmark for (2999ds/3Mi)
% 0.20/0.33 % (715033)lrs+10_40_drc=off:e2e=on:si=on:uwa=one_side_interpreted:random_seed=645054276:s2a=on:i=87:rtra=on:ntd=on_2999 on theBenchmark for (2999ds/87Mi)
% 0.20/0.33 % (715034)lrs+10_16_si=on:nwc=1.5:random_seed=88281247:i=18:kws=arity_squared:rtra=on:fe=abstraction:ntd=on_2999 on theBenchmark for (2999ds/18Mi)
% 0.20/0.33 % (715036)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=3304954960: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)
% 0.20/0.33 % (715037)Instruction limit reached!
% 0.20/0.33 % (715037)------------------------------
% 0.20/0.33 % (715037)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.20/0.33 % (715037)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.20/0.33 % (715037)CaDiCaL version: 2.1.3
% 0.20/0.33 % (715037)Termination reason: Instruction limit
% 0.20/0.33 % (715037)Termination phase: Saturation
% 0.20/0.33 % (715037)Time elapsed: 0.008 s
% 0.20/0.33 % (715037)Peak memory usage: 12 MB
% 0.20/0.33 % (715037)Instructions burned: 27 (million)
% 0.20/0.33 % (715039)WARNING Broken Constraint: if ho_split_queue_ratios(1,8) has been set then ho_split_queue(off) is equal to on
% 0.20/0.33 % (715035)Instruction limit reached!
% 0.20/0.33 % (715035)------------------------------
% 0.20/0.33 % (715035)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.20/0.33 % (715035)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.20/0.33 % (715039)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
% 0.20/0.33 % (715035)CaDiCaL version: 2.1.3
% 0.20/0.33 % (715035)Termination reason: Instruction limit
% 0.20/0.33 % (715035)Termination phase: Saturation
% 0.20/0.33 % (715035)Time elapsed: 0.003 s
% 0.20/0.33 % (715035)Peak memory usage: 12 MB
% 0.20/0.33 % (715035)Instructions burned: 5 (million)
% 0.20/0.33 % (715038)lrs+10_1_to=lpo:sil=128000:e2e=on:si=on:random_seed=2407542790:s2a=on:i=75:s2at=3:aac=none:bd=preordered:rtra=on:fe=abstraction_2999 on theBenchmark for (2999ds/75Mi)
% 0.20/0.33 % (715039)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=3858481500:hsqr=1,8:i=157:s2at=5:add=on:nm=2:rtra=on_2999 on theBenchmark for (2999ds/157Mi)
% 0.20/0.33 % (715034)Instruction limit reached!
% 0.20/0.33 % (715034)------------------------------
% 0.20/0.33 % (715034)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.20/0.33 % (715034)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.20/0.33 % (715034)CaDiCaL version: 2.1.3
% 0.20/0.33 % (715034)Termination reason: Instruction limit
% 0.20/0.33 % (715034)Termination phase: Saturation
% 0.20/0.33 % (715034)Time elapsed: 0.011 s
% 0.20/0.33 % (715034)Peak memory usage: 12 MB
% 0.20/0.33 % (715034)Instructions burned: 19 (million)
% 0.20/0.33 % (715054)dis+10_1024_sil=128000:si=on:sp=unary_first:urr=on:uwa=all:fd=off:random_seed=2406325965:i=2:hud=10:rtra=on_2999 on theBenchmark for (2999ds/2Mi)
% 0.20/0.33 % (715054)Instruction limit reached!
% 0.20/0.33 % (715054)------------------------------
% 0.20/0.33 % (715054)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.20/0.33 % (715054)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.20/0.33 % (715054)CaDiCaL version: 2.1.3
% 0.20/0.33 % (715054)Termination reason: Instruction limit
% 0.20/0.33 % (715054)Termination phase: Saturation
% 0.20/0.33 % (715054)Time elapsed: 0.001 s
% 0.20/0.33 % (715054)Peak memory usage: 12 MB
% 0.20/0.33 % (715054)Instructions burned: 3 (million)
% 0.20/0.33 % (715055)lrs+1010_2:3_cha=on:si=on:uwa=off:nwc=1:random_seed=1400659300:i=5:fgj=on:av=off:rtra=on:fe=axiom:ntd=on_2999 on theBenchmark for (2999ds/5Mi)
% 0.20/0.33 % (715055)Instruction limit reached!
% 0.20/0.33 % (715055)------------------------------
% 0.20/0.33 % (715055)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.20/0.33 % (715055)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.20/0.33 % (715055)CaDiCaL version: 2.1.3
% 0.20/0.33 % (715055)Termination reason: Instruction limit
% 0.20/0.33 % (715055)Termination phase: Saturation
% 0.20/0.33 % (715055)Time elapsed: 0.004 s
% 0.20/0.33 % (715055)Peak memory usage: 12 MB
% 0.20/0.33 % (715055)Instructions burned: 5 (million)
% 0.20/0.33 % (715064)lrs+10_1_sil=128000:si=on:urr=on:slsqc=1:slsq=on:random_seed=3675997428:i=12:s2at=2:kws=inv_frequency:bd=all:rtra=on_2999 on theBenchmark for (2999ds/12Mi)
% 0.20/0.33 % (715063)WARNING Broken Constraint: if forward_subsumption_demodulation_max_matches(5) has been set then forward_subsumption_demodulation(off) is equal to on
% 0.20/0.33 % (715064)Instruction limit reached!
% 0.20/0.33 % (715064)------------------------------
% 0.20/0.33 % (715064)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.20/0.33 % (715064)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.20/0.33 % (715064)CaDiCaL version: 2.1.3
% 0.20/0.33 % (715064)Termination reason: Instruction limit
% 0.20/0.33 % (715064)Termination phase: Saturation
% 0.20/0.33 % (715064)Time elapsed: 0.008 s
% 0.20/0.33 % (715064)Peak memory usage: 12 MB
% 0.20/0.33 % (715064)Instructions burned: 13 (million)
% 0.20/0.33 % (715069)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
% 0.20/0.33 % (715069)WARNING Broken Constraint: if forward_subsumption_demodulation_max_matches(1) has been set then forward_subsumption_demodulation(off) is equal to on
% 0.20/0.33 % (715063)dis+21_1_to=kbo:sil=128000:plsq=on:plsqc=1:cnfonf=lazy_gen:si=on:plsqr=64,1:uwa=hol:random_seed=1878657253:uwa_fpi=on:i=7:fgj=on:hud=10:fsr=off:rtra=on:rawr=on:fsdmm=5_2999 on theBenchmark for (2999ds/7Mi)
% 0.20/0.33 % (715069)ott+1010_64_tgt=ground:cnfonf=lazy_simp:si=on:lma=off:spb=goal:lcm=predicate:random_seed=770350415:i=28:s2at=5:piset=not:hud=10:bd=all:av=off:rtra=on:ixr=off:fsdmm=1_2999 on theBenchmark for (2999ds/28Mi)
% 0.20/0.33 % (715033)Instruction limit reached!
% 0.20/0.33 % (715033)------------------------------
% 0.20/0.33 % (715033)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.20/0.33 % (715033)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.20/0.33 % (715033)CaDiCaL version: 2.1.3
% 0.20/0.33 % (715033)Termination reason: Instruction limit
% 0.20/0.33 % (715033)Termination phase: Saturation
% 0.20/0.33 % (715033)Time elapsed: 0.047 s
% 0.20/0.33 % (715033)Peak memory usage: 13 MB
% 0.20/0.33 % (715033)Instructions burned: 89 (million)
% 0.20/0.33 % (715036) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-715023-715036"...
% 0.20/0.33 % (715036)...printing done.
% 0.20/0.33 % (715063)Instruction limit reached!
% 0.20/0.33 % (715063)------------------------------
% 0.20/0.33 % (715063)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.20/0.33 % (715063)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.20/0.33 % (715063)CaDiCaL version: 2.1.3
% 0.20/0.33 % (715063)Termination reason: Instruction limit
% 0.20/0.33 % (715063)Termination phase: Saturation
% 0.20/0.33 % (715063)Time elapsed: 0.007 s
% 0.20/0.33 % (715063)Peak memory usage: 12 MB
% 0.20/0.33 % (715063)Instructions burned: 7 (million)
% 0.20/0.33 % (715038)Instruction limit reached!
% 0.20/0.33 % (715038)------------------------------
% 0.20/0.33 % (715038)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.20/0.33 % (715038)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.20/0.33 % (715038)CaDiCaL version: 2.1.3
% 0.20/0.33 % (715038)Termination reason: Instruction limit
% 0.20/0.33 % (715038)Termination phase: Saturation
% 0.20/0.33 % (715038)Time elapsed: 0.047 s
% 0.20/0.33 % (715038)Peak memory usage: 13 MB
% 0.20/0.33 % (715038)Instructions burned: 76 (million)
% 0.20/0.33 % (715036)Refutation found. Thanks to Tanya!
% 0.20/0.33 % SZS status Theorem for theBenchmark
% 0.20/0.33 % SZS output start Proof for theBenchmark
% See solution above
% 0.20/0.33 % (715036)------------------------------
% 0.20/0.33 % (715036)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.20/0.33 % (715036)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.20/0.33 % (715036)CaDiCaL version: 2.1.3
% 0.20/0.33 % (715036)Termination reason: Refutation
% 0.20/0.33 % (715036)Time elapsed: 0.049 s
% 0.20/0.33 % (715036)Peak memory usage: 13 MB
% 0.20/0.33 % (715036)Instructions burned: 89 (million)
% 0.20/0.33 % (715023)Success in time 0.094 s
% 0.20/0.33 % Vampire exiting
%------------------------------------------------------------------------------