%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : PUZ137^1 : TPTP v9.3.1. Released v5.3.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% Computer : n008.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 08:20:57 AM UTC 2026
% Result : Theorem 0.20s 0.30s
% Output : Refutation 0.20s
% Verified :
% SZS Type : Refutation
% Derivation depth : 22
% Number of leaves : 10
% Syntax : Number of formulae : 100 ( 15 unt; 0 typ; 8 def)
% Number of atoms : 725 ( 155 equ; 0 cnn)
% Maximal formula atoms : 5 ( 7 avg)
% Number of connectives : 448 ( 81 ~; 143 |; 0 &; 190 @)
% ( 8 <=>; 22 =>; 0 <=; 0 <~>)
% Maximal formula depth : 6 ( 3 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 0 ( 0 >; 0 *; 0 +; 0 <<)
% Number of symbols : 22 ( 18 usr; 14 con; 0-4 aty)
% ( 4 !!; 0 ??; 0 @@+; 0 @@-)
% Number of variables : 25 ( 0 sgn 16 !; 1 ?; 25 :)
% Comments :
%------------------------------------------------------------------------------
thf(type_def_5,type,
sTfun: ( $tType * $tType ) > $tType ).
thf(func_def_1,type,
says: $i > $o > $o ).
thf(func_def_5,type,
vPI:
!>[X0: $tType] : ( ( X0 > $o ) > $o ) ).
thf(func_def_6,type,
vIMP: $o > $o > $o ).
thf(func_def_7,type,
db0:
!>[X0: $tType] : X0 ).
thf(func_def_8,type,
vNOT: $o > $o ).
thf(func_def_9,type,
vLAM:
!>[X0: $tType,X1: $tType] : ( X1 > X0 > X1 ) ).
thf(func_def_10,type,
sK0: $o ).
thf(func_def_11,type,
sK1: $o ).
thf(f1,axiom,
( says @ peter
@ ! [X0: $o] :
( ( says @ peter @ X0 )
=> ~ X0 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax1) ).
thf(f2,conjecture,
! [X0: $o] : ( says @ peter @ X0 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',thm) ).
thf(f3,negated_conjecture,
~ ! [X0: $o] : ( says @ peter @ X0 ),
inference(negated_conjecture,[status(cth)],[f2]) ).
thf(f4,plain,
~ ! [X0: $o] : ( says @ peter @ X0 ),
inference(rectify,[],[f3]) ).
thf(f5,plain,
~ ! [X0: $o] :
( ( says @ peter @ X0 )
= $true ),
inference(fool_elimination,[],[f4]) ).
thf(f6,plain,
( says @ peter
@ ! [X0: $o] :
( ( says @ peter @ X0 )
=> ~ X0 ) ),
inference(rectify,[],[f1]) ).
thf(f7,plain,
( $true
= ( says @ peter
@ ( !! @ $o
@ ^ [Y0: $o] :
( ( says @ peter @ Y0 )
=> ~ Y0 ) ) ) ),
inference(fool_elimination,[],[f6]) ).
thf(f8,plain,
? [X0: $o] :
( ( says @ peter @ X0 )
!= $true ),
inference(ennf_transformation,[],[f5]) ).
thf(f9,plain,
( $true
!= ( says @ peter @ sK0 ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK0]),skolemize(X0,sK0)],[f8]) ).
thf(f10,plain,
( $true
= ( says @ peter
@ ( !! @ $o
@ ^ [Y0: $o] :
( ( says @ peter @ Y0 )
=> ~ Y0 ) ) ) ),
inference(cnf_transformation,[],[f7]) ).
thf(f11,plain,
( $true
!= ( says @ peter @ sK0 ) ),
inference(cnf_transformation,[],[f9]) ).
thf(f14,plain,
( ( $true
= ( says @ peter @ $true ) )
| ( ( !! @ $o
@ ^ [Y0: $o] :
( ( says @ peter @ Y0 )
=> ~ Y0 ) )
= $false ) ),
inference(cases_simplifying,[],[f10]) ).
thf(f15,plain,
( ( $true
= ( says @ peter @ $false ) )
| ( $true
= ( !! @ $o
@ ^ [Y0: $o] :
( ( says @ peter @ Y0 )
=> ~ Y0 ) ) ) ),
inference(cases_simplifying,[],[f10]) ).
thf(f16,plain,
! [X1: $o] :
( ( $true
= ( says @ peter @ $false ) )
| ( ( ^ [Y0: $o] :
( ( says @ peter @ Y0 )
=> ~ Y0 )
@ X1 )
= $true ) ),
inference(pi_proxy_clausification,[],[f15]) ).
thf(f17,plain,
! [X1: $o] :
( ( $true
= ( ( says @ peter @ X1 )
=> ~ X1 ) )
| ( $true
= ( says @ peter @ $false ) ) ),
inference(beta-eta_normalization,[],[f16]) ).
thf(f18,plain,
! [X1: $o] :
( ( $true
= ( says @ peter @ $false ) )
| ( $false
= ( says @ peter @ X1 ) )
| ( ( $true
=> ~ X1 )
= $true ) ),
inference(cases_simplifying,[],[f17]) ).
thf(f43,plain,
! [X1: $o] :
( ( $true
= ( says @ peter @ $false ) )
| ( ( ~ X1 ) = $true )
| ( $false
= ( says @ peter @ X1 ) )
| ( $true
= ( $true
=> $false ) ) ),
inference(cases_simplifying,[],[f18]) ).
thf(f44,plain,
! [X1: $o] :
( ( $true
= ( says @ peter @ $false ) )
| ( $false = X1 )
| ( $true
= ( $true
=> $false ) )
| ( $false
= ( says @ peter @ X1 ) ) ),
inference(not_proxy_clausification,[],[f43]) ).
thf(f45,plain,
! [X1: $o] :
( ( $false
= ( says @ peter @ X1 ) )
| ( $true
= ( says @ peter @ $false ) )
| ( $true = $false )
| ( $true = $false )
| ( $false = X1 ) ),
inference(imp_proxy_clausification,[],[f44]) ).
thf(f46,plain,
! [X1: $o] :
( ( $true
= ( says @ peter @ $false ) )
| ( $false
= ( says @ peter @ X1 ) )
| ( $false = X1 )
| ( $true = $false ) ),
inference(duplicate_literal_removal,[],[f45]) ).
thf(f47,plain,
! [X1: $o] :
( ( $false = X1 )
| ( $true
= ( says @ peter @ $false ) )
| ( $false
= ( says @ peter @ X1 ) ) ),
inference(trivial_inequality_removal,[],[f46]) ).
thf(f50,plain,
( ( $true
= ( says @ peter @ $true ) )
| ( ( ^ [Y0: $o] :
( ( says @ peter @ Y0 )
=> ~ Y0 )
@ sK1 )
= $false ) ),
inference(sigma_proxy_clausification,[],[f14]) ).
thf(f51,plain,
( ( ( ^ [Y0: $o] :
( ( says @ peter @ Y0 )
=> ~ Y0 )
@ $true )
= $false )
| ( $false = sK1 )
| ( $true
= ( says @ peter @ $true ) ) ),
inference(cases_simplifying,[],[f50]) ).
thf(f52,plain,
( ( $false
= ( ^ [Y0: $o] :
( ( says @ peter @ Y0 )
=> ~ Y0 )
@ $false ) )
| ( $true
= ( says @ peter @ $true ) )
| ( $true = sK1 ) ),
inference(cases_simplifying,[],[f50]) ).
thf(f53,plain,
( ( $true
= ( says @ peter @ $true ) )
| ( $true = sK1 )
| ( ( ( says @ peter @ $false )
=> ~ $false )
= $false ) ),
inference(beta-eta_normalization,[],[f52]) ).
thf(f54,plain,
( ( ( says @ peter @ $false )
= $false )
| ( $true
= ( says @ peter @ $true ) )
| ( $true = sK1 )
| ( ( $true
=> ~ $false )
= $false ) ),
inference(cases_simplifying,[],[f53]) ).
thf(f55,plain,
( ( $true = sK1 )
| ( $true
= ( says @ peter @ $true ) )
| ( $true
= ( says @ peter @ $false ) )
| ( ( $false
=> ~ $false )
= $false ) ),
inference(cases_simplifying,[],[f53]) ).
thf(f83,plain,
( ( ( $false
=> $true )
= $false )
| ( $true
= ( says @ peter @ $false ) )
| ( $true
= ( says @ peter @ $true ) )
| ( $true = sK1 )
| ( ( ~ $false ) = $false ) ),
inference(cases_simplifying,[],[f55]) ).
thf(f90,plain,
( ( $true = sK1 )
| ( $true = $false )
| ( ( ~ $false ) = $false )
| ( $true
= ( says @ peter @ $false ) )
| ( $true
= ( says @ peter @ $true ) ) ),
inference(imp_proxy_clausification,[],[f83]) ).
thf(f95,plain,
( ( $true
= ( says @ peter @ $true ) )
| ( $true = $false )
| ( $true
= ( says @ peter @ $false ) )
| ( $true = sK1 )
| ( $true = $false ) ),
inference(not_proxy_clausification,[],[f90]) ).
thf(f96,plain,
( ( $true
= ( says @ peter @ $true ) )
| ( $true
= ( says @ peter @ $false ) )
| ( $true = $false )
| ( $true = sK1 ) ),
inference(duplicate_literal_removal,[],[f95]) ).
thf(f97,plain,
( ( $true = sK1 )
| ( $true
= ( says @ peter @ $false ) )
| ( $true
= ( says @ peter @ $true ) ) ),
inference(trivial_inequality_removal,[],[f96]) ).
thf(f98,plain,
( ( ( says @ peter @ $false )
= $false )
| ( $true = sK1 )
| ( $false
= ( $true
=> $true ) )
| ( ( ~ $false ) = $false )
| ( $true
= ( says @ peter @ $true ) ) ),
inference(cases_simplifying,[],[f54]) ).
thf(f105,plain,
( ( $true = $false )
| ( ( says @ peter @ $false )
= $false )
| ( $true = sK1 )
| ( $true
= ( says @ peter @ $true ) )
| ( ( ~ $false ) = $false ) ),
inference(imp_proxy_clausification,[],[f98]) ).
thf(f108,plain,
( ( $true
= ( says @ peter @ $true ) )
| ( $true = $false )
| ( $true = sK1 )
| ( ( says @ peter @ $false )
= $false )
| ( $true = $false ) ),
inference(not_proxy_clausification,[],[f105]) ).
thf(f109,plain,
( ( $true = $false )
| ( ( says @ peter @ $false )
= $false )
| ( $true
= ( says @ peter @ $true ) )
| ( $true = sK1 ) ),
inference(duplicate_literal_removal,[],[f108]) ).
thf(f110,plain,
( ( $true = sK1 )
| ( ( says @ peter @ $false )
= $false )
| ( $true
= ( says @ peter @ $true ) ) ),
inference(trivial_inequality_removal,[],[f109]) ).
thf(f111,plain,
( ( $true
= ( says @ peter @ $true ) )
| ( $false = sK1 )
| ( ( ( says @ peter @ $true )
=> ~ $true )
= $false ) ),
inference(beta-eta_normalization,[],[f51]) ).
thf(f113,plain,
( ( $true
= ( says @ peter @ $true ) )
| ( $true
= ( says @ peter @ $true ) )
| ( $false = sK1 )
| ( $false
= ( $false
=> ~ $true ) ) ),
inference(cases_simplifying,[],[f111]) ).
thf(f142,plain,
( ( ( $false
=> $false )
= $false )
| ( $true = ( ~ $true ) )
| ( $false = sK1 )
| ( $true
= ( says @ peter @ $true ) )
| ( $true
= ( says @ peter @ $true ) ) ),
inference(cases_simplifying,[],[f113]) ).
thf(f144,plain,
( ( $true = ( ~ $true ) )
| ( $true
= ( says @ peter @ $true ) )
| ( $false = sK1 )
| ( $true
= ( says @ peter @ $true ) )
| ( $true = $false ) ),
inference(imp_proxy_clausification,[],[f142]) ).
thf(f145,plain,
( ( $false = sK1 )
| ( $true = $false )
| ( $true
= ( says @ peter @ $true ) )
| ( $true
= ( says @ peter @ $true ) )
| ( $true = $false ) ),
inference(not_proxy_clausification,[],[f144]) ).
thf(f146,plain,
( ( $true
= ( says @ peter @ $true ) )
| ( $false = sK1 )
| ( $true = $false ) ),
inference(duplicate_literal_removal,[],[f145]) ).
thf(f147,plain,
( ( $false = sK1 )
| ( $true
= ( says @ peter @ $true ) ) ),
inference(trivial_inequality_removal,[],[f146]) ).
thf(f164,plain,
( ( $true
!= ( says @ peter @ $true ) )
| ( sK0 = $false ) ),
inference(cases_simplifying,[],[f11]) ).
thf(f165,plain,
( ( $true = sK0 )
| ( $true
!= ( says @ peter @ $false ) ) ),
inference(cases_simplifying,[],[f11]) ).
thf(f167,definition,
( spl2_1
<=> ( $true
= ( says @ peter @ $false ) ) ),
introduced(definition,[new_symbols(definition,[spl2_1])],[avatar_definition]) ).
thf(f169,plain,
( ( $true
= ( says @ peter @ $false ) )
| ~ spl2_1 ),
inference(avatar_component_clause,[],[f167]) ).
thf(f171,definition,
( spl2_2
<=> ! [X1: $o] :
( ( $false
= ( says @ peter @ X1 ) )
| ( $false = X1 ) ) ),
introduced(definition,[new_symbols(definition,[spl2_2])],[avatar_definition]) ).
thf(f172,plain,
( ! [X1: $o] :
( ( $false
= ( says @ peter @ X1 ) )
| ( $false = X1 ) )
| ~ spl2_2 ),
inference(avatar_component_clause,[],[f171]) ).
thf(f174,plain,
( spl2_2
| spl2_1 ),
inference(avatar_split_clause,[],[f47,f167,f171]) ).
thf(f176,definition,
( spl2_3
<=> ( $true
= ( says @ peter @ $true ) ) ),
introduced(definition,[new_symbols(definition,[spl2_3])],[avatar_definition]) ).
thf(f178,plain,
( ( $true
= ( says @ peter @ $true ) )
| ~ spl2_3 ),
inference(avatar_component_clause,[],[f176]) ).
thf(f180,definition,
( spl2_4
<=> ( $true = sK1 ) ),
introduced(definition,[new_symbols(definition,[spl2_4])],[avatar_definition]) ).
thf(f182,plain,
( ( $true = sK1 )
| ~ spl2_4 ),
inference(avatar_component_clause,[],[f180]) ).
thf(f186,definition,
( spl2_5
<=> ( ( says @ peter @ $false )
= $false ) ),
introduced(definition,[new_symbols(definition,[spl2_5])],[avatar_definition]) ).
thf(f188,plain,
( ( ( says @ peter @ $false )
= $false )
| ~ spl2_5 ),
inference(avatar_component_clause,[],[f186]) ).
thf(f191,plain,
( spl2_3
| spl2_4
| spl2_1 ),
inference(avatar_split_clause,[],[f97,f167,f180,f176]) ).
thf(f192,plain,
( spl2_3
| spl2_5
| spl2_4 ),
inference(avatar_split_clause,[],[f110,f180,f186,f176]) ).
thf(f194,definition,
( spl2_6
<=> ( $false = sK1 ) ),
introduced(definition,[new_symbols(definition,[spl2_6])],[avatar_definition]) ).
thf(f196,plain,
( ( $false = sK1 )
| ~ spl2_6 ),
inference(avatar_component_clause,[],[f194]) ).
thf(f198,plain,
( spl2_3
| spl2_6 ),
inference(avatar_split_clause,[],[f147,f194,f176]) ).
thf(f200,definition,
( spl2_7
<=> ( $true = sK0 ) ),
introduced(definition,[new_symbols(definition,[spl2_7])],[avatar_definition]) ).
thf(f202,plain,
( ( $true = sK0 )
| ~ spl2_7 ),
inference(avatar_component_clause,[],[f200]) ).
thf(f203,plain,
( spl2_7
| ~ spl2_1 ),
inference(avatar_split_clause,[],[f165,f167,f200]) ).
thf(f205,definition,
( spl2_8
<=> ( sK0 = $false ) ),
introduced(definition,[new_symbols(definition,[spl2_8])],[avatar_definition]) ).
thf(f207,plain,
( ( sK0 = $false )
| ~ spl2_8 ),
inference(avatar_component_clause,[],[f205]) ).
thf(f208,plain,
( spl2_8
| ~ spl2_3 ),
inference(avatar_split_clause,[],[f164,f176,f205]) ).
thf(f210,plain,
( ( $true = $false )
| ~ spl2_4
| ~ spl2_6 ),
inference(constrained_superposition,[],[f182,f196]) ).
thf(f211,plain,
( $false
| ~ spl2_4
| ~ spl2_6 ),
inference(trivial_inequality_removal,[],[f210]) ).
thf(f212,plain,
( ~ spl2_4
| ~ spl2_6 ),
inference(avatar_contradiction_clause,[],[f211]) ).
thf(f217,plain,
( ( $true = $false )
| ( $true = $false )
| ~ spl2_2
| ~ spl2_3 ),
inference(constrained_superposition,[],[f178,f172]) ).
thf(f221,plain,
( ( $true = $false )
| ~ spl2_2
| ~ spl2_3 ),
inference(duplicate_literal_removal,[],[f217]) ).
thf(f222,plain,
( $false
| ~ spl2_2
| ~ spl2_3 ),
inference(trivial_inequality_removal,[],[f221]) ).
thf(f223,plain,
( ~ spl2_2
| ~ spl2_3 ),
inference(avatar_contradiction_clause,[],[f222]) ).
thf(f224,plain,
( ( $true = $false )
| ~ spl2_7
| ~ spl2_8 ),
inference(forward_demodulation,[],[f202,f207]) ).
thf(f225,plain,
( $false
| ~ spl2_7
| ~ spl2_8 ),
inference(trivial_inequality_removal,[],[f224]) ).
thf(f226,plain,
( ~ spl2_7
| ~ spl2_8 ),
inference(avatar_contradiction_clause,[],[f225]) ).
thf(f230,plain,
( ( $true = $false )
| ~ spl2_1
| ~ spl2_5 ),
inference(constrained_superposition,[],[f169,f188]) ).
thf(f233,plain,
( $false
| ~ spl2_1
| ~ spl2_5 ),
inference(trivial_inequality_removal,[],[f230]) ).
thf(f234,plain,
( ~ spl2_1
| ~ spl2_5 ),
inference(avatar_contradiction_clause,[],[f233]) ).
cnf(s2,plain,
( spl2_1
| spl2_2 ),
inference(sat_conversion,[],[f174]) ).
cnf(s7,plain,
( spl2_1
| spl2_3
| spl2_4 ),
inference(sat_conversion,[],[f191]) ).
cnf(s8,plain,
( spl2_3
| spl2_4
| spl2_5 ),
inference(sat_conversion,[],[f192]) ).
cnf(s10,plain,
( spl2_3
| spl2_6 ),
inference(sat_conversion,[],[f198]) ).
cnf(s11,plain,
( ~ spl2_1
| spl2_7 ),
inference(sat_conversion,[],[f203]) ).
cnf(s12,plain,
( ~ spl2_3
| spl2_8 ),
inference(sat_conversion,[],[f208]) ).
cnf(s13,plain,
( ~ spl2_4
| ~ spl2_6 ),
inference(sat_conversion,[],[f212]) ).
cnf(s16,plain,
( ~ spl2_2
| ~ spl2_3 ),
inference(sat_conversion,[],[f223]) ).
cnf(s17,plain,
( ~ spl2_7
| ~ spl2_8 ),
inference(sat_conversion,[],[f226]) ).
cnf(s19,plain,
( ~ spl2_1
| ~ spl2_5 ),
inference(sat_conversion,[],[f234]) ).
cnf(s20,plain,
spl2_1,
inference(rat,[],[s13,s7,s10,s16,s2]) ).
cnf(s21,plain,
~ spl2_5,
inference(rat,[],[s19,s20]) ).
cnf(s22,plain,
spl2_7,
inference(rat,[],[s11,s20]) ).
cnf(s23,plain,
~ spl2_8,
inference(rat,[],[s17,s22]) ).
cnf(s24,plain,
~ spl2_3,
inference(rat,[],[s12,s23]) ).
cnf(s25,plain,
spl2_6,
inference(rat,[],[s10,s24]) ).
cnf(s26,plain,
spl2_4,
inference(rat,[],[s8,s21,s24]) ).
cnf(s27,plain,
$false,
inference(rat,[],[s13,s25,s26]) ).
thf(f235,plain,
$false,
inference(avatar_sat_refutation,[],[s27]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : PUZ137^1 : TPTP v9.3.1. Released v5.3.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.07/0.18 % Computer : n008.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 13:27:54 UTC 2026
% 0.07/0.18 % CPUTime :
% 0.07/0.18 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.07/0.21 Running higher-order theorem proving
% 0.07/0.22 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
% 0.20/0.29 % (3144692)Detected a higher-order problem, will run a greedy HOL sequence.
% 0.20/0.29 % (3144699)lrs+10_1_cnfonf=off:si=on:uwa=one_side_interpreted:random_seed=224235216:i=3:rtra=on:inj=on:ntd=on_2999 on theBenchmark for (2999ds/3Mi)
% 0.20/0.29 % (3144699)Refutation not found, incomplete strategy
% 0.20/0.29 % (3144699)------------------------------
% 0.20/0.29 % (3144699)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.20/0.29 % (3144699)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.20/0.29 % (3144699)CaDiCaL version: 2.1.3
% 0.20/0.29 % (3144699)Termination reason: Refutation not found, incomplete strategy
% 0.20/0.29 % (3144699)Time elapsed: 0.001 s
% 0.20/0.29 % (3144699)Peak memory usage: 12 MB
% 0.20/0.29 % (3144699)------------------------------
% 0.20/0.29 % (3144699)------------------------------
% 0.20/0.29 % (3144697)lrs+10_40_drc=off:e2e=on:si=on:uwa=one_side_interpreted:random_seed=3291089605:s2a=on:i=87:rtra=on:ntd=on_2999 on theBenchmark for (2999ds/87Mi)
% 0.20/0.29 % (3144698)lrs+10_16_si=on:nwc=1.5:random_seed=3990474848:i=18:kws=arity_squared:rtra=on:fe=abstraction:ntd=on_2999 on theBenchmark for (2999ds/18Mi)
% 0.20/0.29 % (3144700)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=3668175004: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)
% 0.20/0.29 % (3144701)dis+21_4_fde=none:e2e=on:si=on:uwa=off:foolp=on:random_seed=1795368471:i=24:av=off:rtra=on_2999 on theBenchmark for (2999ds/24Mi)
% 0.20/0.29 % (3144697)Refutation not found, incomplete strategy
% 0.20/0.29 % (3144697)------------------------------
% 0.20/0.29 % (3144697)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.20/0.29 % (3144698)Refutation not found, incomplete strategy
% 0.20/0.29 % (3144698)------------------------------
% 0.20/0.29 % (3144698)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.20/0.29 % (3144697)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.20/0.29 % (3144698)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.20/0.29 % (3144697)CaDiCaL version: 2.1.3
% 0.20/0.29 % (3144698)CaDiCaL version: 2.1.3
% 0.20/0.29 % (3144697)Termination reason: Refutation not found, incomplete strategy
% 0.20/0.29 % (3144697)Time elapsed: 0.001 s
% 0.20/0.29 % (3144698)Termination reason: Refutation not found, incomplete strategy
% 0.20/0.29 % (3144698)Time elapsed: 0.001 s
% 0.20/0.29 % (3144697)Peak memory usage: 12 MB
% 0.20/0.29 % (3144698)Peak memory usage: 12 MB
% 0.20/0.29 % (3144701)Refutation not found, incomplete strategy
% 0.20/0.29 % (3144701)------------------------------
% 0.20/0.29 % (3144701)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.20/0.29 % (3144701)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.20/0.29 % (3144701)CaDiCaL version: 2.1.3
% 0.20/0.29 % (3144701)Termination reason: Refutation not found, incomplete strategy
% 0.20/0.29 % (3144701)Time elapsed: 0.001 s
% 0.20/0.29 % (3144701)Peak memory usage: 12 MB
% 0.20/0.29 % (3144697)------------------------------
% 0.20/0.29 % (3144697)------------------------------
% 0.20/0.29 % (3144698)------------------------------
% 0.20/0.29 % (3144698)------------------------------
% 0.20/0.29 % (3144701)------------------------------
% 0.20/0.29 % (3144701)------------------------------
% 0.20/0.29 % (3144702)lrs+10_1_to=lpo:sil=128000:e2e=on:si=on:random_seed=2308206731:s2a=on:i=75:s2at=3:aac=none:bd=preordered:rtra=on:fe=abstraction_2999 on theBenchmark for (2999ds/75Mi)
% 0.20/0.29 % (3144700)Refutation not found, incomplete strategy
% 0.20/0.29 % (3144700)------------------------------
% 0.20/0.29 % (3144700)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.20/0.29 % (3144700)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.20/0.29 % (3144700)CaDiCaL version: 2.1.3
% 0.20/0.29 % (3144700)Termination reason: Refutation not found, incomplete strategy
% 0.20/0.29 % (3144700)Time elapsed: 0.002 s
% 0.20/0.29 % (3144700)Peak memory usage: 12 MB
% 0.20/0.29 % (3144700)Instructions burned: 1 (million)
% 0.20/0.29 % (3144700)------------------------------
% 0.20/0.29 % (3144700)------------------------------
% 0.20/0.29 % (3144702)Refutation not found, incomplete strategy
% 0.20/0.29 % (3144702)------------------------------
% 0.20/0.29 % (3144702)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.20/0.30 % (3144702)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.20/0.30 % (3144702)CaDiCaL version: 2.1.3
% 0.20/0.30 % (3144702)Termination reason: Refutation not found, incomplete strategy
% 0.20/0.30 % (3144702)Time elapsed: 0.001 s
% 0.20/0.30 % (3144702)Peak memory usage: 12 MB
% 0.20/0.30 % (3144702)Instructions burned: 2 (million)
% 0.20/0.30 % (3144702)------------------------------
% 0.20/0.30 % (3144702)------------------------------
% 0.20/0.30 % (3144703)WARNING Broken Constraint: if ho_split_queue_ratios(1,8) has been set then ho_split_queue(off) is equal to on
% 0.20/0.30 % (3144703)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
% 0.20/0.30 % (3144703)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=724310354:hsqr=1,8:i=157:s2at=5:add=on:nm=2:rtra=on_2999 on theBenchmark for (2999ds/157Mi)
% 0.20/0.30 % (3144703)Refutation not found, incomplete strategy
% 0.20/0.30 % (3144703)------------------------------
% 0.20/0.30 % (3144703)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.20/0.30 % (3144703)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.20/0.30 % (3144703)CaDiCaL version: 2.1.3
% 0.20/0.30 % (3144703)Termination reason: Refutation not found, incomplete strategy
% 0.20/0.30 % (3144703)Time elapsed: 0.001 s
% 0.20/0.30 % (3144703)Peak memory usage: 12 MB
% 0.20/0.30 % (3144703)Instructions burned: 2 (million)
% 0.20/0.30 % (3144703)------------------------------
% 0.20/0.30 % (3144703)------------------------------
% 0.20/0.30 % (3144705)dis+10_1024_sil=128000:si=on:sp=unary_first:urr=on:uwa=all:fd=off:random_seed=158396171:i=2:hud=10:rtra=on_2999 on theBenchmark for (2999ds/2Mi)
% 0.20/0.30 % (3144705)Instruction limit reached!
% 0.20/0.30 % (3144705)------------------------------
% 0.20/0.30 % (3144705)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.20/0.30 % (3144712)WARNING Broken Constraint: if forward_subsumption_demodulation_max_matches(5) has been set then forward_subsumption_demodulation(off) is equal to on
% 0.20/0.30 % (3144705)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.20/0.30 % (3144705)CaDiCaL version: 2.1.3
% 0.20/0.30 % (3144705)Termination reason: Instruction limit
% 0.20/0.30 % (3144705)Termination phase: Saturation
% 0.20/0.30 % (3144705)Time elapsed: 0.003 s
% 0.20/0.30 % (3144705)Peak memory usage: 12 MB
% 0.20/0.30 % (3144705)Instructions burned: 3 (million)
% 0.20/0.30 % (3144714)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
% 0.20/0.30 % (3144714)WARNING Broken Constraint: if forward_subsumption_demodulation_max_matches(1) has been set then forward_subsumption_demodulation(off) is equal to on
% 0.20/0.30 % (3144711)lrs+1010_2:3_cha=on:si=on:uwa=off:nwc=1:random_seed=3427870256:i=5:fgj=on:av=off:rtra=on:fe=axiom:ntd=on_2999 on theBenchmark for (2999ds/5Mi)
% 0.20/0.30 % (3144712)dis+21_1_to=kbo:sil=128000:plsq=on:plsqc=1:cnfonf=lazy_gen:si=on:plsqr=64,1:uwa=hol:random_seed=1368668751:uwa_fpi=on:i=7:fgj=on:hud=10:fsr=off:rtra=on:rawr=on:fsdmm=5_2999 on theBenchmark for (2999ds/7Mi)
% 0.20/0.30 % (3144714)ott+1010_64_tgt=ground:cnfonf=lazy_simp:si=on:lma=off:spb=goal:lcm=predicate:random_seed=2663807750:i=28:s2at=5:piset=not:hud=10:bd=all:av=off:rtra=on:ixr=off:fsdmm=1_2999 on theBenchmark for (2999ds/28Mi)
% 0.20/0.30 % (3144713)lrs+10_1_sil=128000:si=on:urr=on:slsqc=1:slsq=on:random_seed=3526233174:i=12:s2at=2:kws=inv_frequency:bd=all:rtra=on_2999 on theBenchmark for (2999ds/12Mi)
% 0.20/0.30 % (3144717)lrs+10_1_si=on:cs=on:random_seed=209113814:i=8:rtra=on:ntd=on_2999 on theBenchmark for (2999ds/8Mi)
% 0.20/0.30 % (3144715)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=3390135305:i=86:piset=equals:rtra=on:ntd=on_2999 on theBenchmark for (2999ds/86Mi)
% 0.20/0.30 % (3144715)Refutation not found, incomplete strategy
% 0.20/0.30 % (3144715)------------------------------
% 0.20/0.30 % (3144715)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.20/0.30 % (3144715)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.20/0.30 % (3144715)CaDiCaL version: 2.1.3
% 0.20/0.30 % (3144715)Termination reason: Refutation not found, incomplete strategy
% 0.20/0.30 % (3144715)Time elapsed: 0.001 s
% 0.20/0.30 % (3144715)Peak memory usage: 12 MB
% 0.20/0.30 % (3144715)Instructions burned: 1 (million)
% 0.20/0.30 % (3144717) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-3144692-3144717"...
% 0.20/0.30 % (3144713)Refutation not found, incomplete strategy
% 0.20/0.30 % (3144713)------------------------------
% 0.20/0.30 % (3144713)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.20/0.30 % (3144713)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.20/0.30 % (3144713)CaDiCaL version: 2.1.3
% 0.20/0.30 % (3144713)Termination reason: Refutation not found, incomplete strategy
% 0.20/0.30 % (3144713)Time elapsed: 0.002 s
% 0.20/0.30 % (3144713)Peak memory usage: 12 MB
% 0.20/0.30 % (3144713)Instructions burned: 2 (million)
% 0.20/0.30 % (3144715)------------------------------
% 0.20/0.30 % (3144715)------------------------------
% 0.20/0.30 % (3144713)------------------------------
% 0.20/0.30 % (3144713)------------------------------
% 0.20/0.30 % (3144714)Refutation not found, incomplete strategy
% 0.20/0.30 % (3144714)------------------------------
% 0.20/0.30 % (3144714)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.20/0.30 % (3144714)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.20/0.30 % (3144714)CaDiCaL version: 2.1.3
% 0.20/0.30 % (3144714)Termination reason: Refutation not found, incomplete strategy
% 0.20/0.30 % (3144714)Time elapsed: 0.004 s
% 0.20/0.30 % (3144714)Peak memory usage: 12 MB
% 0.20/0.30 % (3144714)Instructions burned: 5 (million)
% 0.20/0.30 % (3144711)Instruction limit reached!
% 0.20/0.30 % (3144711)------------------------------
% 0.20/0.30 % (3144711)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.20/0.30 % (3144711)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.20/0.30 % (3144711)CaDiCaL version: 2.1.3
% 0.20/0.30 % (3144711)Termination reason: Instruction limit
% 0.20/0.30 % (3144711)Termination phase: Saturation
% 0.20/0.30 % (3144711)Time elapsed: 0.004 s
% 0.20/0.30 % (3144711)Peak memory usage: 12 MB
% 0.20/0.30 % (3144711)Instructions burned: 6 (million)
% 0.20/0.30 % (3144717)...printing done.
% 0.20/0.30 % (3144714)------------------------------
% 0.20/0.30 % (3144714)------------------------------
% 0.20/0.30 % (3144712)Instruction limit reached!
% 0.20/0.30 % (3144712)------------------------------
% 0.20/0.30 % (3144712)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.20/0.30 % (3144712)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.20/0.30 % (3144712)CaDiCaL version: 2.1.3
% 0.20/0.30 % (3144712)Termination reason: Instruction limit
% 0.20/0.30 % (3144712)Termination phase: Saturation
% 0.20/0.30 % (3144712)Time elapsed: 0.005 s
% 0.20/0.30 % (3144712)Peak memory usage: 12 MB
% 0.20/0.30 % (3144712)Instructions burned: 7 (million)
% 0.20/0.30 % (3144717)Refutation found. Thanks to Tanya!
% 0.20/0.30 % SZS status Theorem for theBenchmark
% 0.20/0.30 % SZS output start Proof for theBenchmark
% See solution above
% 0.20/0.30 % (3144717)------------------------------
% 0.20/0.30 % (3144717)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.20/0.30 % (3144717)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.20/0.30 % (3144717)CaDiCaL version: 2.1.3
% 0.20/0.30 % (3144717)Termination reason: Refutation
% 0.20/0.30 % (3144717)Time elapsed: 0.002 s
% 0.20/0.30 % (3144717)Peak memory usage: 13 MB
% 0.20/0.30 % (3144717)Instructions burned: 7 (million)
% 0.20/0.30 % (3144692)Success in time 0.063 s
% 0.20/0.30 % Vampire exiting
%------------------------------------------------------------------------------