%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : SYN991^1 : TPTP v9.3.1. Released v3.7.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox2/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 08:41:46 AM UTC 2026
% Result : Unsatisfiable 0.22s 0.29s
% Output : Refutation 0.22s
% Verified :
% SZS Type : Refutation
% Derivation depth : 12
% Number of leaves : 2
% Syntax : Number of formulae : 17 ( 17 unt; 0 typ; 0 def)
% Number of atoms : 39 ( 17 equ; 0 cnn)
% Maximal formula atoms : 1 ( 2 avg)
% Number of connectives : 39 ( 3 ~; 0 |; 0 &; 32 @)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 3 ( 2 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 26 ( 26 >; 0 *; 0 +; 0 <<)
% Number of symbols : 12 ( 8 usr; 3 con; 0-4 aty)
% ( 4 !!; 0 ??; 0 @@+; 0 @@-)
% Number of variables : 28 ( 12 ^; 16 !; 0 ?; 28 :)
% Comments :
%------------------------------------------------------------------------------
thf(type_def_5,type,
sTfun: ( $tType * $tType ) > $tType ).
thf(func_def_0,type,
refl: ( $i > $i > $o ) > $o ).
thf(func_def_4,type,
vPI:
!>[X0: $tType] : ( ( X0 > $o ) > $o ) ).
thf(func_def_5,type,
db1:
!>[X0: $tType] : X0 ).
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_8,type,
vNOT: $o > $o ).
thf(func_def_9,type,
vEQ:
!>[X0: $tType] : ( X0 > X0 > $o ) ).
thf(f1,axiom,
( refl
= ( ^ [X0: $i > $i > $o] :
! [X1: $i] : ( X0 @ X1 @ X1 ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',refl) ).
thf(f2,axiom,
! [X0: $i > $i > $o] : ( refl @ X0 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax) ).
thf(f3,plain,
! [X0: $i > $i > $o] : ( refl @ X0 ),
inference(rectify,[],[f2]) ).
thf(f4,plain,
! [X0: $i > $i > $o] :
( ( refl @ X0 )
= $true ),
inference(fool_elimination,[],[f3]) ).
thf(f5,plain,
( refl
= ( ^ [X0: $i > $i > $o] :
! [X1: $i] : ( X0 @ X1 @ X1 ) ) ),
inference(rectify,[],[f1]) ).
thf(f6,plain,
( refl
= ( ^ [Y0: $i > $i > $o] :
( !! @ $i
@ ^ [Y1: $i] : ( Y0 @ Y1 @ Y1 ) ) ) ),
inference(fool_elimination,[],[f5]) ).
thf(f7,plain,
! [X0: $i > $i > $o] :
( ( refl @ X0 )
= $true ),
inference(cnf_transformation,[],[f4]) ).
thf(f8,plain,
( refl
= ( ^ [Y0: $i > $i > $o] :
( !! @ $i
@ ^ [Y1: $i] : ( Y0 @ Y1 @ Y1 ) ) ) ),
inference(cnf_transformation,[],[f6]) ).
thf(f11,plain,
! [X0: $i > $i > $o] :
( ( ^ [Y0: $i > $i > $o] :
( !! @ $i
@ ^ [Y1: $i] : ( Y0 @ Y1 @ Y1 ) )
@ X0 )
= $true ),
inference(definition_unfolding,[],[f7,f8]) ).
thf(f12,plain,
! [X0: $i > $i > $o] :
( $true
= ( !! @ $i
@ ^ [Y0: $i] : ( X0 @ Y0 @ Y0 ) ) ),
inference(beta-eta_normalization,[],[f11]) ).
thf(f13,plain,
! [X0: $i > $i > $o,X1: $i] :
( ( ^ [Y0: $i] : ( X0 @ Y0 @ Y0 )
@ X1 )
= $true ),
inference(pi_proxy_clausification,[],[f12]) ).
thf(f14,plain,
! [X0: $i > $i > $o,X1: $i] :
( ( X0 @ X1 @ X1 )
= $true ),
inference(beta-eta_normalization,[],[f13]) ).
thf(f16,plain,
! [X1: $i] :
( $true
= ( ^ [Y0: $i,Y1: $i] : ( Y0 != Y1 )
@ X1
@ X1 ) ),
inference(primitive_instantiation,[],[f14]) ).
thf(f22,plain,
! [X1: $i] :
( ( X1 != X1 )
= $true ),
inference(beta-eta_normalization,[],[f16]) ).
thf(f23,plain,
! [X1: $i] :
( ( X1 = X1 )
= $false ),
inference(not_proxy_clausification,[],[f22]) ).
thf(f24,plain,
! [X1: $i] : ( X1 != X1 ),
inference(equality_proxy_clausification,[],[f23]) ).
thf(f25,plain,
$false,
inference(trivial_inequality_removal,[],[f24]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SYN991^1 : TPTP v9.3.1. Released v3.7.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.10/0.19 % Computer : n019.cluster.edu
% 0.10/0.19 % Model : x86_64 x86_64
% 0.10/0.19 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.19 % Memory : 8046.5625MB
% 0.10/0.19 % OS : Linux 6.8.0-71-generic
% 0.10/0.19 % CPULimit : 300
% 0.10/0.19 % WCLimit : 300
% 0.10/0.19 % DateTime : Tue Sep 29 16:20:18 UTC 2026
% 0.10/0.19 % CPUTime :
% 0.10/0.19 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.10/0.22 Running higher-order theorem proving
% 0.10/0.24 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
% 0.22/0.29 % (990894)Detected a higher-order problem, will run a greedy HOL sequence.
% 0.22/0.29 % (990906)dis+21_4_fde=none:e2e=on:si=on:uwa=off:foolp=on:random_seed=4135945884:i=24:av=off:rtra=on_2999 on theBenchmark for (2999ds/24Mi)
% 0.22/0.29 % (990906)Refutation not found, incomplete strategy
% 0.22/0.29 % (990906)------------------------------
% 0.22/0.29 % (990906)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.22/0.29 % (990906)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.22/0.29 % (990906)CaDiCaL version: 2.1.3
% 0.22/0.29 % (990906)Termination reason: Refutation not found, incomplete strategy
% 0.22/0.29 % (990906)Time elapsed: 0.001 s
% 0.22/0.29 % (990906)Peak memory usage: 12 MB
% 0.22/0.29 % (990906)------------------------------
% 0.22/0.29 % (990906)------------------------------
% 0.22/0.29 % (990908)WARNING Broken Constraint: if ho_split_queue_ratios(1,8) has been set then ho_split_queue(off) is equal to on
% 0.22/0.29 % (990908)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
% 0.22/0.29 % (990902)lrs+10_40_drc=off:e2e=on:si=on:uwa=one_side_interpreted:random_seed=1470741898:s2a=on:i=87:rtra=on:ntd=on_2999 on theBenchmark for (2999ds/87Mi)
% 0.22/0.29 % (990904)lrs+10_1_cnfonf=off:si=on:uwa=one_side_interpreted:random_seed=1159547011:i=3:rtra=on:inj=on:ntd=on_2999 on theBenchmark for (2999ds/3Mi)
% 0.22/0.29 % (990903)lrs+10_16_si=on:nwc=1.5:random_seed=2230397303:i=18:kws=arity_squared:rtra=on:fe=abstraction:ntd=on_2999 on theBenchmark for (2999ds/18Mi)
% 0.22/0.29 % (990905)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=3124857714: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)
% 0.22/0.29 % (990908)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=2035676303:hsqr=1,8:i=157:s2at=5:add=on:nm=2:rtra=on_2999 on theBenchmark for (2999ds/157Mi)
% 0.22/0.29 % (990907)lrs+10_1_to=lpo:sil=128000:e2e=on:si=on:random_seed=3581596803:s2a=on:i=75:s2at=3:aac=none:bd=preordered:rtra=on:fe=abstraction_2999 on theBenchmark for (2999ds/75Mi)
% 0.22/0.29 % (990904)Refutation not found, incomplete strategy
% 0.22/0.29 % (990904)------------------------------
% 0.22/0.29 % (990904)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.22/0.29 % (990904)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.22/0.29 % (990902) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-990894-990902"...
% 0.22/0.29 % (990904)CaDiCaL version: 2.1.3
% 0.22/0.29 % (990904)Termination reason: Refutation not found, incomplete strategy
% 0.22/0.29 % (990904)Time elapsed: 0.001 s
% 0.22/0.29 % (990904)Peak memory usage: 12 MB
% 0.22/0.29 % (990903) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-990894-990903"...
% 0.22/0.29 % (990908)Refutation not found, incomplete strategy
% 0.22/0.29 % (990908)------------------------------
% 0.22/0.29 % (990908)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.22/0.29 % (990908)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.22/0.29 % (990908)CaDiCaL version: 2.1.3
% 0.22/0.29 % (990908)Termination reason: Refutation not found, incomplete strategy
% 0.22/0.29 % (990908)Time elapsed: 0.001 s
% 0.22/0.29 % (990908)Peak memory usage: 12 MB
% 0.22/0.29 % (990904)------------------------------
% 0.22/0.29 % (990904)------------------------------
% 0.22/0.29 % (990905)Refutation not found, incomplete strategy
% 0.22/0.29 % (990905)------------------------------
% 0.22/0.29 % (990905)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.22/0.29 % (990905)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.22/0.29 % (990905)CaDiCaL version: 2.1.3
% 0.22/0.29 % (990905)Termination reason: Refutation not found, incomplete strategy
% 0.22/0.29 % (990905)Time elapsed: 0.001 s
% 0.22/0.29 % (990905)Peak memory usage: 12 MB
% 0.22/0.29 % (990905)Instructions burned: 1 (million)
% 0.22/0.29 % (990907) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-990894-990907"...
% 0.22/0.29 % (990902)...printing done.
% 0.22/0.29 % (990908)------------------------------
% 0.22/0.29 % (990908)------------------------------
% 0.22/0.29 % (990905)------------------------------
% 0.22/0.29 % (990905)------------------------------
% 0.22/0.29 % (990903)...printing done.
% 0.22/0.29 % (990902)Refutation found. Thanks to Tanya!
% 0.22/0.29 % SZS status Unsatisfiable for theBenchmark
% 0.22/0.29 % SZS output start Proof for theBenchmark
% See solution above
% 0.22/0.29 % (990902)------------------------------
% 0.22/0.29 % (990902)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.22/0.29 % (990902)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.22/0.29 % (990902)CaDiCaL version: 2.1.3
% 0.22/0.29 % (990902)Termination reason: Refutation
% 0.22/0.29 % (990902)Time elapsed: 0.002 s
% 0.22/0.29 % (990902)Peak memory usage: 12 MB
% 0.22/0.29 % (990902)Instructions burned: 1 (million)
% 0.22/0.29 % (990894)Success in time 0.042 s
% 0.22/0.29 % Vampire exiting
%------------------------------------------------------------------------------