%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : SYO173^5 : TPTP v9.3.1. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% Computer : n007.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 08:46:47 AM UTC 2026
% Result : Theorem 1.15s 0.57s
% Output : Refutation 1.15s
% Verified :
% SZS Type : Refutation
% Derivation depth : 23
% Number of leaves : 1
% Syntax : Number of formulae : 40 ( 14 unt; 0 typ; 0 def)
% Number of atoms : 281 ( 85 equ; 0 cnn)
% Maximal formula atoms : 7 ( 7 avg)
% Number of connectives : 680 ( 55 ~; 39 |; 28 &; 558 @)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 15 ( 6 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 0 ( 0 >; 0 *; 0 +; 0 <<)
% Number of symbols : 8 ( 5 usr; 3 con; 0-2 aty)
% Number of variables : 140 ( 0 ^; 134 !; 6 ?; 140 :)
% Comments :
%------------------------------------------------------------------------------
thf(type_def_5,type,
sTfun: ( $tType * $tType ) > $tType ).
thf(func_def_0,type,
nt: $i > $i ).
thf(func_def_1,type,
imp: $i > $i > $i ).
thf(func_def_2,type,
cT: $i > $o ).
thf(f1,conjecture,
~ ( ? [X3: $i] :
~ ( cT @ ( imp @ ( nt @ ( nt @ X3 ) ) @ X3 ) )
& ! [X0: $i,X1: $i] : ( cT @ ( imp @ ( imp @ ( nt @ X0 ) @ ( nt @ X1 ) ) @ ( imp @ X1 @ X0 ) ) )
& ! [X0: $i,X2: $i,X1: $i] : ( cT @ ( imp @ ( imp @ X0 @ ( imp @ X1 @ X2 ) ) @ ( imp @ ( imp @ X0 @ X1 ) @ ( imp @ X0 @ X2 ) ) ) )
& ! [X0: $i,X1: $i] : ( cT @ ( imp @ X0 @ ( imp @ X1 @ X0 ) ) )
& ! [X0: $i,X1: $i] :
( ~ ( cT @ ( imp @ X0 @ X1 ) )
| ( cT @ X1 )
| ~ ( cT @ X0 ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cLCL077_1) ).
thf(f2,negated_conjecture,
~ ~ ( ? [X3: $i] :
~ ( cT @ ( imp @ ( nt @ ( nt @ X3 ) ) @ X3 ) )
& ! [X0: $i,X1: $i] : ( cT @ ( imp @ ( imp @ ( nt @ X0 ) @ ( nt @ X1 ) ) @ ( imp @ X1 @ X0 ) ) )
& ! [X0: $i,X2: $i,X1: $i] : ( cT @ ( imp @ ( imp @ X0 @ ( imp @ X1 @ X2 ) ) @ ( imp @ ( imp @ X0 @ X1 ) @ ( imp @ X0 @ X2 ) ) ) )
& ! [X0: $i,X1: $i] : ( cT @ ( imp @ X0 @ ( imp @ X1 @ X0 ) ) )
& ! [X0: $i,X1: $i] :
( ~ ( cT @ ( imp @ X0 @ X1 ) )
| ( cT @ X1 )
| ~ ( cT @ X0 ) ) ),
inference(negated_conjecture,[status(cth)],[f1]) ).
thf(f3,plain,
~ ~ ( ? [X0: $i] :
~ ( cT @ ( imp @ ( nt @ ( nt @ X0 ) ) @ X0 ) )
& ! [X1: $i,X2: $i] : ( cT @ ( imp @ ( imp @ ( nt @ X1 ) @ ( nt @ X2 ) ) @ ( imp @ X2 @ X1 ) ) )
& ! [X3: $i,X4: $i,X5: $i] : ( cT @ ( imp @ ( imp @ X3 @ ( imp @ X5 @ X4 ) ) @ ( imp @ ( imp @ X3 @ X5 ) @ ( imp @ X3 @ X4 ) ) ) )
& ! [X6: $i,X7: $i] : ( cT @ ( imp @ X6 @ ( imp @ X7 @ X6 ) ) )
& ! [X8: $i,X9: $i] :
( ~ ( cT @ ( imp @ X8 @ X9 ) )
| ( cT @ X9 )
| ~ ( cT @ X8 ) ) ),
inference(rectify,[],[f2]) ).
thf(f4,plain,
~ ~ ( ? [X0: $i] :
( ( cT @ ( imp @ ( nt @ ( nt @ X0 ) ) @ X0 ) )
!= $true )
& ! [X2: $i,X1: $i] :
( ( cT @ ( imp @ ( imp @ ( nt @ X1 ) @ ( nt @ X2 ) ) @ ( imp @ X2 @ X1 ) ) )
= $true )
& ! [X4: $i,X3: $i,X5: $i] :
( ( cT @ ( imp @ ( imp @ X3 @ ( imp @ X5 @ X4 ) ) @ ( imp @ ( imp @ X3 @ X5 ) @ ( imp @ X3 @ X4 ) ) ) )
= $true )
& ! [X6: $i,X7: $i] :
( ( cT @ ( imp @ X6 @ ( imp @ X7 @ X6 ) ) )
= $true )
& ! [X8: $i,X9: $i] :
( ( ( cT @ ( imp @ X8 @ X9 ) )
!= $true )
| ( ( cT @ X9 )
= $true )
| ( ( cT @ X8 )
!= $true ) ) ),
inference(fool_elimination,[],[f3]) ).
thf(f5,plain,
( ! [X2: $i,X1: $i] :
( ( cT @ ( imp @ ( imp @ ( nt @ X1 ) @ ( nt @ X2 ) ) @ ( imp @ X2 @ X1 ) ) )
= $true )
& ! [X4: $i,X3: $i,X5: $i] :
( ( cT @ ( imp @ ( imp @ X3 @ ( imp @ X5 @ X4 ) ) @ ( imp @ ( imp @ X3 @ X5 ) @ ( imp @ X3 @ X4 ) ) ) )
= $true )
& ! [X9: $i,X8: $i] :
( ( ( cT @ X8 )
!= $true )
| ( ( cT @ ( imp @ X8 @ X9 ) )
!= $true )
| ( ( cT @ X9 )
= $true ) )
& ? [X0: $i] :
( ( cT @ ( imp @ ( nt @ ( nt @ X0 ) ) @ X0 ) )
!= $true )
& ! [X6: $i,X7: $i] :
( ( cT @ ( imp @ X6 @ ( imp @ X7 @ X6 ) ) )
= $true ) ),
inference(flattening,[],[f4]) ).
thf(f6,plain,
( ! [X0: $i,X1: $i] :
( $true
= ( cT @ ( imp @ ( imp @ ( nt @ X1 ) @ ( nt @ X0 ) ) @ ( imp @ X0 @ X1 ) ) ) )
& ! [X2: $i,X3: $i,X4: $i] :
( ( cT @ ( imp @ ( imp @ X3 @ ( imp @ X4 @ X2 ) ) @ ( imp @ ( imp @ X3 @ X4 ) @ ( imp @ X3 @ X2 ) ) ) )
= $true )
& ! [X5: $i,X6: $i] :
( ( ( cT @ X6 )
!= $true )
| ( ( cT @ ( imp @ X6 @ X5 ) )
!= $true )
| ( ( cT @ X5 )
= $true ) )
& ? [X7: $i] :
( ( cT @ ( imp @ ( nt @ ( nt @ X7 ) ) @ X7 ) )
!= $true )
& ! [X8: $i,X9: $i] :
( $true
= ( cT @ ( imp @ X8 @ ( imp @ X9 @ X8 ) ) ) ) ),
inference(rectify,[],[f5]) ).
thf(f7,plain,
( ! [X0: $i,X1: $i] :
( $true
= ( cT @ ( imp @ ( imp @ ( nt @ X1 ) @ ( nt @ X0 ) ) @ ( imp @ X0 @ X1 ) ) ) )
& ! [X2: $i,X3: $i,X4: $i] :
( ( cT @ ( imp @ ( imp @ X3 @ ( imp @ X4 @ X2 ) ) @ ( imp @ ( imp @ X3 @ X4 ) @ ( imp @ X3 @ X2 ) ) ) )
= $true )
& ! [X5: $i,X6: $i] :
( ( ( cT @ X6 )
!= $true )
| ( ( cT @ ( imp @ X6 @ X5 ) )
!= $true )
| ( ( cT @ X5 )
= $true ) )
& ( ( cT @ ( imp @ ( nt @ ( nt @ sK0 ) ) @ sK0 ) )
!= $true )
& ! [X8: $i,X9: $i] :
( $true
= ( cT @ ( imp @ X8 @ ( imp @ X9 @ X8 ) ) ) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK0]),skolemize(X7,sK0)],[f6]) ).
thf(f8,plain,
! [X8: $i,X9: $i] :
( $true
= ( cT @ ( imp @ X8 @ ( imp @ X9 @ X8 ) ) ) ),
inference(cnf_transformation,[],[f7]) ).
thf(f9,plain,
( ( cT @ ( imp @ ( nt @ ( nt @ sK0 ) ) @ sK0 ) )
!= $true ),
inference(cnf_transformation,[],[f7]) ).
thf(f10,plain,
! [X6: $i,X5: $i] :
( ( ( cT @ ( imp @ X6 @ X5 ) )
!= $true )
| ( ( cT @ X5 )
= $true )
| ( ( cT @ X6 )
!= $true ) ),
inference(cnf_transformation,[],[f7]) ).
thf(f11,plain,
! [X2: $i,X3: $i,X4: $i] :
( ( cT @ ( imp @ ( imp @ X3 @ ( imp @ X4 @ X2 ) ) @ ( imp @ ( imp @ X3 @ X4 ) @ ( imp @ X3 @ X2 ) ) ) )
= $true ),
inference(cnf_transformation,[],[f7]) ).
thf(f12,plain,
! [X0: $i,X1: $i] :
( $true
= ( cT @ ( imp @ ( imp @ ( nt @ X1 ) @ ( nt @ X0 ) ) @ ( imp @ X0 @ X1 ) ) ) ),
inference(cnf_transformation,[],[f7]) ).
thf(f15,plain,
! [X0: $i,X1: $i] :
( ( ( cT @ ( imp @ X1 @ X0 ) )
= $true )
| ( $true != $true )
| ( ( cT @ X0 )
!= $true ) ),
inference(superposition,[],[f10,f8]) ).
thf(f16,plain,
! [X0: $i,X1: $i] :
( ( ( cT @ X0 )
!= $true )
| ( ( cT @ ( imp @ X1 @ X0 ) )
= $true ) ),
inference(trivial_inequality_removal,[],[f15]) ).
thf(f20,plain,
! [X2: $i,X0: $i,X1: $i] :
( ( $true != $true )
| ( ( cT @ ( imp @ X2 @ ( imp @ ( imp @ ( nt @ X0 ) @ ( nt @ X1 ) ) @ ( imp @ X1 @ X0 ) ) ) )
= $true ) ),
inference(superposition,[],[f16,f12]) ).
thf(f21,plain,
! [X2: $i,X0: $i,X1: $i] :
( ( cT @ ( imp @ X2 @ ( imp @ ( imp @ ( nt @ X0 ) @ ( nt @ X1 ) ) @ ( imp @ X1 @ X0 ) ) ) )
= $true ),
inference(trivial_inequality_removal,[],[f20]) ).
thf(f27,plain,
! [X2: $i,X0: $i,X1: $i] :
( ( ( cT @ ( imp @ ( imp @ X0 @ X1 ) @ ( imp @ X0 @ X2 ) ) )
= $true )
| ( ( cT @ ( imp @ X0 @ ( imp @ X1 @ X2 ) ) )
!= $true )
| ( $true != $true ) ),
inference(superposition,[],[f10,f11]) ).
thf(f29,plain,
! [X2: $i,X0: $i,X1: $i] :
( ( ( cT @ ( imp @ X0 @ ( imp @ X1 @ X2 ) ) )
!= $true )
| ( ( cT @ ( imp @ ( imp @ X0 @ X1 ) @ ( imp @ X0 @ X2 ) ) )
= $true ) ),
inference(trivial_inequality_removal,[],[f27]) ).
thf(f31,plain,
! [X0: $i,X1: $i] :
( ( ( cT @ ( imp @ ( imp @ X0 @ X1 ) @ ( imp @ X0 @ X0 ) ) )
= $true )
| ( $true != $true ) ),
inference(superposition,[],[f29,f8]) ).
thf(f34,plain,
! [X2: $i,X0: $i,X1: $i] :
( ( ( cT @ ( imp @ ( imp @ ( imp @ X0 @ ( imp @ X1 @ X2 ) ) @ ( imp @ X0 @ X1 ) ) @ ( imp @ ( imp @ X0 @ ( imp @ X1 @ X2 ) ) @ ( imp @ X0 @ X2 ) ) ) )
= $true )
| ( $true != $true ) ),
inference(superposition,[],[f29,f11]) ).
thf(f36,plain,
! [X2: $i,X0: $i,X1: $i] :
( ( cT @ ( imp @ ( imp @ ( imp @ X0 @ ( imp @ X1 @ X2 ) ) @ ( imp @ X0 @ X1 ) ) @ ( imp @ ( imp @ X0 @ ( imp @ X1 @ X2 ) ) @ ( imp @ X0 @ X2 ) ) ) )
= $true ),
inference(trivial_inequality_removal,[],[f34]) ).
thf(f38,plain,
! [X0: $i,X1: $i] :
( ( cT @ ( imp @ ( imp @ X0 @ X1 ) @ ( imp @ X0 @ X0 ) ) )
= $true ),
inference(trivial_inequality_removal,[],[f31]) ).
thf(f45,plain,
! [X2: $i,X0: $i,X1: $i] :
( ( ( cT @ ( imp @ ( imp @ X0 @ ( imp @ ( nt @ X1 ) @ ( nt @ X2 ) ) ) @ ( imp @ X0 @ ( imp @ X2 @ X1 ) ) ) )
= $true )
| ( $true != $true ) ),
inference(superposition,[],[f29,f21]) ).
thf(f48,plain,
! [X2: $i,X0: $i,X1: $i] :
( ( cT @ ( imp @ ( imp @ X0 @ ( imp @ ( nt @ X1 ) @ ( nt @ X2 ) ) ) @ ( imp @ X0 @ ( imp @ X2 @ X1 ) ) ) )
= $true ),
inference(trivial_inequality_removal,[],[f45]) ).
thf(f88,plain,
! [X2: $i,X0: $i,X1: $i] :
( ( $true
!= ( cT @ ( imp @ ( imp @ X0 @ ( imp @ X1 @ X2 ) ) @ ( imp @ X0 @ X1 ) ) ) )
| ( ( cT @ ( imp @ ( imp @ X0 @ ( imp @ X1 @ X2 ) ) @ ( imp @ X0 @ X2 ) ) )
= $true )
| ( $true != $true ) ),
inference(superposition,[],[f10,f36]) ).
thf(f91,plain,
! [X2: $i,X0: $i,X1: $i] :
( ( $true
!= ( cT @ ( imp @ ( imp @ X0 @ ( imp @ X1 @ X2 ) ) @ ( imp @ X0 @ X1 ) ) ) )
| ( ( cT @ ( imp @ ( imp @ X0 @ ( imp @ X1 @ X2 ) ) @ ( imp @ X0 @ X2 ) ) )
= $true ) ),
inference(trivial_inequality_removal,[],[f88]) ).
thf(f167,plain,
! [X2: $i,X0: $i,X1: $i] :
( ( $true != $true )
| ( ( cT @ ( imp @ X0 @ ( imp @ X2 @ X1 ) ) )
= $true )
| ( ( cT @ ( imp @ X0 @ ( imp @ ( nt @ X1 ) @ ( nt @ X2 ) ) ) )
!= $true ) ),
inference(superposition,[],[f10,f48]) ).
thf(f171,plain,
! [X2: $i,X0: $i,X1: $i] :
( ( ( cT @ ( imp @ X0 @ ( imp @ ( nt @ X1 ) @ ( nt @ X2 ) ) ) )
!= $true )
| ( ( cT @ ( imp @ X0 @ ( imp @ X2 @ X1 ) ) )
= $true ) ),
inference(trivial_inequality_removal,[],[f167]) ).
thf(f371,plain,
! [X0: $i,X1: $i] :
( ( ( cT @ ( imp @ ( imp @ X0 @ ( imp @ X0 @ X1 ) ) @ ( imp @ X0 @ X1 ) ) )
= $true )
| ( $true != $true ) ),
inference(superposition,[],[f91,f38]) ).
thf(f377,plain,
! [X0: $i,X1: $i] :
( ( cT @ ( imp @ ( imp @ X0 @ ( imp @ X0 @ X1 ) ) @ ( imp @ X0 @ X1 ) ) )
= $true ),
inference(trivial_inequality_removal,[],[f371]) ).
thf(f387,plain,
! [X0: $i,X1: $i] :
( ( ( cT @ ( imp @ X0 @ ( imp @ X0 @ X1 ) ) )
!= $true )
| ( ( cT @ ( imp @ X0 @ X1 ) )
= $true )
| ( $true != $true ) ),
inference(superposition,[],[f10,f377]) ).
thf(f395,plain,
! [X0: $i,X1: $i] :
( ( ( cT @ ( imp @ X0 @ ( imp @ X0 @ X1 ) ) )
!= $true )
| ( ( cT @ ( imp @ X0 @ X1 ) )
= $true ) ),
inference(trivial_inequality_removal,[],[f387]) ).
thf(f619,plain,
! [X0: $i,X1: $i] :
( ( ( cT @ ( imp @ ( nt @ X0 ) @ ( imp @ X0 @ X1 ) ) )
= $true )
| ( $true != $true ) ),
inference(superposition,[],[f171,f8]) ).
thf(f635,plain,
! [X0: $i,X1: $i] :
( ( cT @ ( imp @ ( nt @ X0 ) @ ( imp @ X0 @ X1 ) ) )
= $true ),
inference(trivial_inequality_removal,[],[f619]) ).
thf(f637,plain,
! [X0: $i,X1: $i] :
( ( ( cT @ ( imp @ ( nt @ ( nt @ X0 ) ) @ ( imp @ X1 @ X0 ) ) )
= $true )
| ( $true != $true ) ),
inference(superposition,[],[f171,f635]) ).
thf(f644,plain,
! [X0: $i,X1: $i] :
( ( cT @ ( imp @ ( nt @ ( nt @ X0 ) ) @ ( imp @ X1 @ X0 ) ) )
= $true ),
inference(trivial_inequality_removal,[],[f637]) ).
thf(f670,plain,
! [X0: $i] :
( ( $true != $true )
| ( ( cT @ ( imp @ ( nt @ ( nt @ X0 ) ) @ X0 ) )
= $true ) ),
inference(superposition,[],[f395,f644]) ).
thf(f681,plain,
! [X0: $i] :
( ( cT @ ( imp @ ( nt @ ( nt @ X0 ) ) @ X0 ) )
= $true ),
inference(trivial_inequality_removal,[],[f670]) ).
thf(f702,plain,
$true != $true,
inference(superposition,[],[f9,f681]) ).
thf(f723,plain,
$false,
inference(trivial_inequality_removal,[],[f702]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.04 % Problem : SYO173^5 : TPTP v9.3.1. Released v4.0.0.
% 0.00/0.08 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.11/0.27 % Computer : n007.cluster.edu
% 0.11/0.27 % Model : x86_64 x86_64
% 0.11/0.27 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.27 % Memory : 8046.5625MB
% 0.11/0.27 % OS : Linux 6.8.0-71-generic
% 0.11/0.27 % CPULimit : 300
% 0.11/0.27 % WCLimit : 300
% 0.11/0.27 % DateTime : Tue Sep 29 16:34:56 UTC 2026
% 0.26/0.27 % CPUTime :
% 0.26/0.27 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.26/0.31 Running higher-order theorem proving
% 0.26/0.32 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
% 1.15/0.51 % (3607222)Detected a higher-order problem, will run a greedy HOL sequence.
% 1.15/0.51 % (3607227)lrs+10_40_drc=off:e2e=on:si=on:uwa=one_side_interpreted:random_seed=409112341:s2a=on:i=87:rtra=on:ntd=on_2999 on theBenchmark for (2999ds/87Mi)
% 1.15/0.51 % (3607233)WARNING Broken Constraint: if ho_split_queue_ratios(1,8) has been set then ho_split_queue(off) is equal to on
% 1.15/0.51 % (3607233)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
% 1.15/0.51 % (3607230)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=3938077863: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)
% 1.15/0.51 % (3607232)lrs+10_1_to=lpo:sil=128000:e2e=on:si=on:random_seed=2455996415:s2a=on:i=75:s2at=3:aac=none:bd=preordered:rtra=on:fe=abstraction_2999 on theBenchmark for (2999ds/75Mi)
% 1.15/0.51 % (3607233)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=3053736316:hsqr=1,8:i=157:s2at=5:add=on:nm=2:rtra=on_2999 on theBenchmark for (2999ds/157Mi)
% 1.15/0.51 % (3607228)lrs+10_16_si=on:nwc=1.5:random_seed=479638814:i=18:kws=arity_squared:rtra=on:fe=abstraction:ntd=on_2999 on theBenchmark for (2999ds/18Mi)
% 1.15/0.51 % (3607231)dis+21_4_fde=none:e2e=on:si=on:uwa=off:foolp=on:random_seed=417694493:i=24:av=off:rtra=on_2999 on theBenchmark for (2999ds/24Mi)
% 1.15/0.51 % (3607229)lrs+10_1_cnfonf=off:si=on:uwa=one_side_interpreted:random_seed=413412315:i=3:rtra=on:inj=on:ntd=on_2999 on theBenchmark for (2999ds/3Mi)
% 1.15/0.51 % (3607229)Instruction limit reached!
% 1.15/0.51 % (3607229)------------------------------
% 1.15/0.51 % (3607229)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.15/0.51 % (3607229)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.15/0.51 % (3607229)CaDiCaL version: 2.1.3
% 1.15/0.51 % (3607229)Termination reason: Instruction limit
% 1.15/0.51 % (3607229)Termination phase: Saturation
% 1.15/0.51 % (3607229)Time elapsed: 0.004 s
% 1.15/0.51 % (3607229)Peak memory usage: 12 MB
% 1.15/0.51 % (3607229)Instructions burned: 3 (million)
% 1.15/0.51 % (3607228)Instruction limit reached!
% 1.15/0.51 % (3607228)------------------------------
% 1.15/0.51 % (3607228)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.15/0.51 % (3607228)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.15/0.51 % (3607228)CaDiCaL version: 2.1.3
% 1.15/0.51 % (3607228)Termination reason: Instruction limit
% 1.15/0.51 % (3607228)Termination phase: Saturation
% 1.15/0.51 % (3607228)Time elapsed: 0.018 s
% 1.15/0.51 % (3607228)Peak memory usage: 12 MB
% 1.15/0.51 % (3607228)Instructions burned: 19 (million)
% 1.15/0.51 % (3607231)Instruction limit reached!
% 1.15/0.51 % (3607231)------------------------------
% 1.15/0.51 % (3607231)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.15/0.51 % (3607231)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.15/0.51 % (3607231)CaDiCaL version: 2.1.3
% 1.15/0.51 % (3607231)Termination reason: Instruction limit
% 1.15/0.51 % (3607231)Termination phase: Saturation
% 1.15/0.51 % (3607231)Time elapsed: 0.022 s
% 1.15/0.51 % (3607231)Peak memory usage: 12 MB
% 1.15/0.51 % (3607231)Instructions burned: 25 (million)
% 1.15/0.51 % (3607227)Instruction limit reached!
% 1.15/0.51 % (3607227)------------------------------
% 1.15/0.51 % (3607227)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.15/0.51 % (3607227)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.15/0.51 % (3607227)CaDiCaL version: 2.1.3
% 1.15/0.51 % (3607227)Termination reason: Instruction limit
% 1.15/0.51 % (3607227)Termination phase: Saturation
% 1.15/0.51 % (3607227)Time elapsed: 0.040 s
% 1.15/0.51 % (3607227)Peak memory usage: 12 MB
% 1.15/0.51 % (3607227)Instructions burned: 89 (million)
% 1.15/0.51 % (3607241)dis+10_1024_sil=128000:si=on:sp=unary_first:urr=on:uwa=all:fd=off:random_seed=3385383417:i=2:hud=10:rtra=on_2999 on theBenchmark for (2999ds/2Mi)
% 1.15/0.51 % (3607241)Instruction limit reached!
% 1.15/0.51 % (3607241)------------------------------
% 1.15/0.51 % (3607241)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.15/0.57 % (3607241)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.15/0.57 % (3607241)CaDiCaL version: 2.1.3
% 1.15/0.57 % (3607241)Termination reason: Instruction limit
% 1.15/0.57 % (3607241)Termination phase: Saturation
% 1.15/0.57 % (3607241)Time elapsed: 0.002 s
% 1.15/0.57 % (3607241)Peak memory usage: 12 MB
% 1.15/0.57 % (3607241)Instructions burned: 2 (million)
% 1.15/0.57 % (3607246)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
% 1.15/0.57 % (3607246)WARNING Broken Constraint: if forward_subsumption_demodulation_max_matches(1) has been set then forward_subsumption_demodulation(off) is equal to on
% 1.15/0.57 % (3607243)WARNING Broken Constraint: if forward_subsumption_demodulation_max_matches(5) has been set then forward_subsumption_demodulation(off) is equal to on
% 1.15/0.57 % (3607246)ott+1010_64_tgt=ground:cnfonf=lazy_simp:si=on:lma=off:spb=goal:lcm=predicate:random_seed=3468561280:i=28:s2at=5:piset=not:hud=10:bd=all:av=off:rtra=on:ixr=off:fsdmm=1_2999 on theBenchmark for (2999ds/28Mi)
% 1.15/0.57 % (3607242)lrs+1010_2:3_cha=on:si=on:uwa=off:nwc=1:random_seed=1225812601:i=5:fgj=on:av=off:rtra=on:fe=axiom:ntd=on_2999 on theBenchmark for (2999ds/5Mi)
% 1.15/0.57 % (3607243)dis+21_1_to=kbo:sil=128000:plsq=on:plsqc=1:cnfonf=lazy_gen:si=on:plsqr=64,1:uwa=hol:random_seed=2518927087:uwa_fpi=on:i=7:fgj=on:hud=10:fsr=off:rtra=on:rawr=on:fsdmm=5_2999 on theBenchmark for (2999ds/7Mi)
% 1.15/0.57 % (3607242)Instruction limit reached!
% 1.15/0.57 % (3607242)------------------------------
% 1.15/0.57 % (3607242)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.15/0.57 % (3607242)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.15/0.57 % (3607242)CaDiCaL version: 2.1.3
% 1.15/0.57 % (3607242)Termination reason: Instruction limit
% 1.15/0.57 % (3607242)Termination phase: Saturation
% 1.15/0.57 % (3607242)Time elapsed: 0.006 s
% 1.15/0.57 % (3607242)Peak memory usage: 12 MB
% 1.15/0.57 % (3607242)Instructions burned: 5 (million)
% 1.15/0.57 % (3607244)lrs+10_1_sil=128000:si=on:urr=on:slsqc=1:slsq=on:random_seed=3415931432:i=12:s2at=2:kws=inv_frequency:bd=all:rtra=on_2999 on theBenchmark for (2999ds/12Mi)
% 1.15/0.57 % (3607243)Instruction limit reached!
% 1.15/0.57 % (3607243)------------------------------
% 1.15/0.57 % (3607243)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.15/0.57 % (3607243)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.15/0.57 % (3607243)CaDiCaL version: 2.1.3
% 1.15/0.57 % (3607243)Termination reason: Instruction limit
% 1.15/0.57 % (3607243)Termination phase: Saturation
% 1.15/0.57 % (3607243)Time elapsed: 0.007 s
% 1.15/0.57 % (3607243)Peak memory usage: 12 MB
% 1.15/0.57 % (3607243)Instructions burned: 8 (million)
% 1.15/0.57 % (3607232)Instruction limit reached!
% 1.15/0.57 % (3607232)------------------------------
% 1.15/0.57 % (3607232)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.15/0.57 % (3607232)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.15/0.57 % (3607232)CaDiCaL version: 2.1.3
% 1.15/0.57 % (3607232)Termination reason: Instruction limit
% 1.15/0.57 % (3607232)Termination phase: Saturation
% 1.15/0.57 % (3607232)Time elapsed: 0.069 s
% 1.15/0.57 % (3607232)Peak memory usage: 12 MB
% 1.15/0.57 % (3607232)Instructions burned: 76 (million)
% 1.15/0.57 % (3607246)Instruction limit reached!
% 1.15/0.57 % (3607246)------------------------------
% 1.15/0.57 % (3607246)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.15/0.57 % (3607246)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.15/0.57 % (3607246)CaDiCaL version: 2.1.3
% 1.15/0.57 % (3607246)Termination reason: Instruction limit
% 1.15/0.57 % (3607246)Termination phase: Saturation
% 1.15/0.57 % (3607246)Time elapsed: 0.017 s
% 1.15/0.57 % (3607246)Peak memory usage: 12 MB
% 1.15/0.57 % (3607246)Instructions burned: 29 (million)
% 1.15/0.57 % (3607244)Instruction limit reached!
% 1.15/0.57 % (3607244)------------------------------
% 1.15/0.57 % (3607244)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.15/0.57 % (3607244)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.15/0.57 % (3607244)CaDiCaL version: 2.1.3
% 1.15/0.57 % (3607244)Termination reason: Instruction limit
% 1.15/0.57 % (3607244)Termination phase: Saturation
% 1.15/0.57 % (3607244)Time elapsed: 0.012 s
% 1.15/0.57 % (3607244)Peak memory usage: 12 MB
% 1.15/0.57 % (3607244)Instructions burned: 12 (million)
% 1.15/0.57 % (3607252)lrs+10_1_si=on:cs=on:random_seed=2371252843:i=8:rtra=on:ntd=on_2999 on theBenchmark for (2999ds/8Mi)
% 1.15/0.57 % (3607252)Instruction limit reached!
% 1.15/0.57 % (3607252)------------------------------
% 1.15/0.57 % (3607252)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.15/0.57 % (3607252)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.15/0.57 % (3607252)CaDiCaL version: 2.1.3
% 1.15/0.57 % (3607252)Termination reason: Instruction limit
% 1.15/0.57 % (3607252)Termination phase: Saturation
% 1.15/0.57 % (3607252)Time elapsed: 0.004 s
% 1.15/0.57 % (3607252)Peak memory usage: 12 MB
% 1.15/0.57 % (3607252)Instructions burned: 8 (million)
% 1.15/0.57 % (3607251)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=2236237829:i=86:piset=equals:rtra=on:ntd=on_2999 on theBenchmark for (2999ds/86Mi)
% 1.15/0.57 % (3607253)WARNING Broken Constraint: if positive_literal_split_queue_ratios(1,32) has been set then positive_literal_split_queue(off) is equal to on
% 1.15/0.57 % (3607253)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=3905202985:i=2:add=on:rtra=on_2998 on theBenchmark for (2998ds/2Mi)
% 1.15/0.57 % (3607254)lrs+1002_3:1_sil=128000:e2e=on:si=on:urr=on:uwa=one_side_constant:nwc=1.5:random_seed=2636348629:i=38:bd=all:rtra=on:amm=off:ss=axioms:ntd=on_2998 on theBenchmark for (2998ds/38Mi)
% 1.15/0.57 % (3607253)Instruction limit reached!
% 1.15/0.57 % (3607253)------------------------------
% 1.15/0.57 % (3607253)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.15/0.57 % (3607253)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.15/0.57 % (3607253)CaDiCaL version: 2.1.3
% 1.15/0.57 % (3607253)Termination reason: Instruction limit
% 1.15/0.57 % (3607253)Termination phase: Saturation
% 1.15/0.57 % (3607253)Time elapsed: 0.003 s
% 1.15/0.57 % (3607253)Peak memory usage: 11 MB
% 1.15/0.57 % (3607253)Instructions burned: 2 (million)
% 1.15/0.57 % (3607257)dis+1002_1_sil=128000:fde=unused:e2e=on:si=on:cbe=off:uwa=off:random_seed=365336593:hsq=on:st=2:i=25:kws=inv_frequency:rtra=on:ss=axioms:ntd=on_2998 on theBenchmark for (2998ds/25Mi)
% 1.15/0.57 % (3607255)lrs+1002_1_to=lpo:sil=128000:si=on:sos=on:spb=goal_then_units:uwa=off:random_seed=1456569864:st=2:i=249:sd=1:rtra=on:ss=axioms_2998 on theBenchmark for (2998ds/249Mi)
% 1.15/0.57 % (3607257)Instruction limit reached!
% 1.15/0.57 % (3607257)------------------------------
% 1.15/0.57 % (3607257)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.15/0.57 % (3607257)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.15/0.57 % (3607257)CaDiCaL version: 2.1.3
% 1.15/0.57 % (3607257)Termination reason: Instruction limit
% 1.15/0.57 % (3607257)Termination phase: Saturation
% 1.15/0.57 % (3607257)Time elapsed: 0.012 s
% 1.15/0.57 % (3607257)Peak memory usage: 12 MB
% 1.15/0.57 % (3607257)Instructions burned: 25 (million)
% 1.15/0.57 % (3607254)Instruction limit reached!
% 1.15/0.57 % (3607254)------------------------------
% 1.15/0.57 % (3607254)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.15/0.57 % (3607254)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.15/0.57 % (3607254)CaDiCaL version: 2.1.3
% 1.15/0.57 % (3607254)Termination reason: Instruction limit
% 1.15/0.57 % (3607254)Termination phase: Saturation
% 1.15/0.57 % (3607254)Time elapsed: 0.034 s
% 1.15/0.57 % (3607254)Peak memory usage: 12 MB
% 1.15/0.57 % (3607254)Instructions burned: 38 (million)
% 1.15/0.57 % (3607264)dis+1010_1_sil=128000:si=on:uwa=off:random_seed=1423072500:st=3:s2a=on:i=327:sd=3:rtra=on:ss=axioms_2998 on theBenchmark for (2998ds/327Mi)
% 1.15/0.57 % (3607261)lrs+10_16:1_sil=128000:si=on:lma=off:urr=on:uwa=interpreted_only:random_seed=2702381540:i=14:kws=precedence:aac=none:nm=10:rtra=on:er=filter:ntd=on_2998 on theBenchmark for (2998ds/14Mi)
% 1.15/0.57 % (3607233)Instruction limit reached!
% 1.15/0.57 % (3607233)------------------------------
% 1.15/0.57 % (3607233)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.15/0.57 % (3607233)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.15/0.57 % (3607233)CaDiCaL version: 2.1.3
% 1.15/0.57 % (3607233)Termination reason: Instruction limit
% 1.15/0.57 % (3607233)Termination phase: Saturation
% 1.15/0.57 % (3607233)Time elapsed: 0.142 s
% 1.15/0.57 % (3607233)Peak memory usage: 13 MB
% 1.15/0.57 % (3607233)Instructions burned: 158 (million)
% 1.15/0.57 % (3607261)Instruction limit reached!
% 1.15/0.57 % (3607261)------------------------------
% 1.15/0.57 % (3607261)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.15/0.57 % (3607261)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.15/0.57 % (3607261)CaDiCaL version: 2.1.3
% 1.15/0.57 % (3607261)Termination reason: Instruction limit
% 1.15/0.57 % (3607261)Termination phase: Saturation
% 1.15/0.57 % (3607261)Time elapsed: 0.014 s
% 1.15/0.57 % (3607261)Peak memory usage: 12 MB
% 1.15/0.57 % (3607261)Instructions burned: 15 (million)
% 1.15/0.57 % (3607267)dis+10_1_anc=all_dependent:to=kbo:sil=128000:si=on:chr=on:random_seed=418568169:uwa_fpi=on:i=14:aac=none:rtra=on:fe=abstraction_2998 on theBenchmark for (2998ds/14Mi)
% 1.15/0.57 % (3607267)Instruction limit reached!
% 1.15/0.57 % (3607267)------------------------------
% 1.15/0.57 % (3607267)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.15/0.57 % (3607267)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.15/0.57 % (3607267)CaDiCaL version: 2.1.3
% 1.15/0.57 % (3607267)Termination reason: Instruction limit
% 1.15/0.57 % (3607267)Termination phase: Saturation
% 1.15/0.57 % (3607267)Time elapsed: 0.009 s
% 1.15/0.57 % (3607267)Peak memory usage: 12 MB
% 1.15/0.57 % (3607267)Instructions burned: 15 (million)
% 1.15/0.57 % (3607251)Instruction limit reached!
% 1.15/0.57 % (3607251)------------------------------
% 1.15/0.57 % (3607251)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.15/0.57 % (3607251)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.15/0.57 % (3607251)CaDiCaL version: 2.1.3
% 1.15/0.57 % (3607251)Termination reason: Instruction limit
% 1.15/0.57 % (3607251)Termination phase: Saturation
% 1.15/0.57 % (3607251)Time elapsed: 0.077 s
% 1.15/0.57 % (3607251)Peak memory usage: 12 MB
% 1.15/0.57 % (3607251)Instructions burned: 87 (million)
% 1.15/0.57 % (3607268)ott+21_20_to=lpo:sil=128000:tgt=ground:si=on:sp=arity:lma=off:uwa=off:foolp=on:random_seed=1190365787:st=4:i=2:add=off:sd=3:nm=16:fsr=off:rtra=on:ss=axioms:sgt=8:ntd=on_2998 on theBenchmark for (2998ds/2Mi)
% 1.15/0.57 % (3607268)Instruction limit reached!
% 1.15/0.57 % (3607268)------------------------------
% 1.15/0.57 % (3607268)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.15/0.57 % (3607268)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.15/0.57 % (3607268)CaDiCaL version: 2.1.3
% 1.15/0.57 % (3607268)Termination reason: Instruction limit
% 1.15/0.57 % (3607268)Termination phase: Saturation
% 1.15/0.57 % (3607268)Time elapsed: 0.003 s
% 1.15/0.57 % (3607268)Peak memory usage: 12 MB
% 1.15/0.57 % (3607268)Instructions burned: 2 (million)
% 1.15/0.57 % (3607269)ott+1004_1_sil=128000:cnfonf=lazy_pi_sigma_gen:si=on:sp=unary_frequency:cbe=off:uwa=off:nwc=1:random_seed=1032793683:i=26:ep=R:rtra=on:ntd=on_2998 on theBenchmark for (2998ds/26Mi)
% 1.15/0.57 % (3607264) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-3607222-3607264"...
% 1.15/0.57 % (3607264)...printing done.
% 1.15/0.57 % (3607264)Refutation found. Thanks to Tanya!
% 1.15/0.57 % SZS status Theorem for theBenchmark
% 1.15/0.57 % SZS output start Proof for theBenchmark
% See solution above
% 1.15/0.57 % (3607264)------------------------------
% 1.15/0.57 % (3607264)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.15/0.57 % (3607264)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.15/0.57 % (3607264)CaDiCaL version: 2.1.3
% 1.15/0.57 % (3607264)Termination reason: Refutation
% 1.15/0.57 % (3607264)Time elapsed: 0.055 s
% 1.15/0.57 % (3607264)Peak memory usage: 13 MB
% 1.15/0.57 % (3607264)Instructions burned: 126 (million)
% 1.15/0.57 % (3607222)Success in time 0.236 s
% 1.15/0.57 % Vampire exiting
%------------------------------------------------------------------------------