%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : SYN992^1 : TPTP v9.3.1. Bugfixed v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% Computer : n013.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 : Theorem 0.22s 0.28s
% Output : Refutation 0.22s
% Verified :
% SZS Type : Refutation
% Derivation depth : 13
% Number of leaves : 2
% Syntax : Number of formulae : 18 ( 18 unt; 0 typ; 0 def)
% Number of atoms : 46 ( 22 equ; 4 cnn)
% Maximal formula atoms : 1 ( 2 avg)
% Number of connectives : 55 ( 8 ~; 0 |; 0 &; 43 @)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 4 ( 2 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 30 ( 30 >; 0 *; 0 +; 0 <<)
% Number of symbols : 14 ( 9 usr; 4 con; 0-4 aty)
% ( 4 !!; 0 ??; 0 @@+; 0 @@-)
% Number of variables : 28 ( 16 ^; 8 !; 4 ?; 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,
sK0: ( $i > $i > $o ) > $i ).
thf(func_def_10,type,
vEQ:
!>[X0: $tType] : ( X0 > X0 > $o ) ).
thf(f1,axiom,
( ( ^ [X0: $i > $i > $o] :
! [X1: $i] : ( X0 @ X1 @ X1 ) )
= refl ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',refl) ).
thf(f2,conjecture,
? [X0: $i > $i > $o] : ( refl @ X0 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax) ).
thf(f3,negated_conjecture,
~ ? [X0: $i > $i > $o] : ( refl @ X0 ),
inference(negated_conjecture,[status(cth)],[f2]) ).
thf(f4,plain,
~ ? [X0: $i > $i > $o] : ( refl @ X0 ),
inference(rectify,[],[f3]) ).
thf(f5,plain,
~ ? [X0: $i > $i > $o] :
( ( refl @ X0 )
= $true ),
inference(fool_elimination,[],[f4]) ).
thf(f6,plain,
( ( ^ [X0: $i > $i > $o] :
! [X1: $i] : ( X0 @ X1 @ X1 ) )
= refl ),
inference(rectify,[],[f1]) ).
thf(f7,plain,
( refl
= ( ^ [Y0: $i > $i > $o] :
( !! @ $i
@ ^ [Y1: $i] : ( Y0 @ Y1 @ Y1 ) ) ) ),
inference(fool_elimination,[],[f6]) ).
thf(f8,plain,
! [X0: $i > $i > $o] :
( ( refl @ X0 )
!= $true ),
inference(ennf_transformation,[],[f5]) ).
thf(f9,plain,
! [X0: $i > $i > $o] :
( ( refl @ X0 )
!= $true ),
inference(cnf_transformation,[],[f8]) ).
thf(f10,plain,
( refl
= ( ^ [Y0: $i > $i > $o] :
( !! @ $i
@ ^ [Y1: $i] : ( Y0 @ Y1 @ Y1 ) ) ) ),
inference(cnf_transformation,[],[f7]) ).
thf(f13,plain,
! [X0: $i > $i > $o] :
( ( ^ [Y0: $i > $i > $o] :
( !! @ $i
@ ^ [Y1: $i] : ( Y0 @ Y1 @ Y1 ) )
@ X0 )
!= $true ),
inference(definition_unfolding,[],[f9,f10]) ).
thf(f14,plain,
! [X0: $i > $i > $o] :
( ( !! @ $i
@ ^ [Y0: $i] : ( X0 @ Y0 @ Y0 ) )
!= $true ),
inference(beta-eta_normalization,[],[f13]) ).
thf(f15,plain,
! [X0: $i > $i > $o] :
( $false
= ( ^ [Y0: $i] : ( X0 @ Y0 @ Y0 )
@ ( sK0 @ X0 ) ) ),
inference(sigma_proxy_clausification,[],[f14]) ).
thf(f16,plain,
! [X0: $i > $i > $o] :
( ( X0 @ ( sK0 @ X0 ) @ ( sK0 @ X0 ) )
= $false ),
inference(beta-eta_normalization,[],[f15]) ).
thf(f17,plain,
( ( ^ [Y0: $i,Y1: $i] : ( Y0 = Y1 )
@ ( sK0
@ ^ [Y0: $i,Y1: $i] : ( Y0 = Y1 ) )
@ ( sK0
@ ^ [Y0: $i,Y1: $i] : ( Y0 = Y1 ) ) )
= $false ),
inference(primitive_instantiation,[],[f16]) ).
thf(f22,plain,
( ( ( sK0 @ (=) )
= ( sK0 @ (=) ) )
= $false ),
inference(beta-eta_normalization,[],[f17]) ).
thf(f23,plain,
( ( sK0 @ (=) )
!= ( sK0 @ (=) ) ),
inference(equality_proxy_clausification,[],[f22]) ).
thf(f24,plain,
$false,
inference(trivial_inequality_removal,[],[f23]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SYN992^1 : TPTP v9.3.1. Bugfixed v4.0.0.
% 0.00/0.06 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.10/0.18 % Computer : n013.cluster.edu
% 0.10/0.18 % Model : x86_64 x86_64
% 0.10/0.18 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.18 % Memory : 8046.5625MB
% 0.10/0.18 % OS : Linux 6.8.0-71-generic
% 0.10/0.18 % CPULimit : 300
% 0.10/0.18 % WCLimit : 300
% 0.10/0.18 % DateTime : Tue Sep 29 16:19:36 UTC 2026
% 0.10/0.18 % CPUTime :
% 0.10/0.18 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.10/0.21 Running higher-order theorem proving
% 0.10/0.22 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
% 0.22/0.28 % (2313742)Detected a higher-order problem, will run a greedy HOL sequence.
% 0.22/0.28 % (2313760)dis+21_4_fde=none:e2e=on:si=on:uwa=off:foolp=on:random_seed=1721082277:i=24:av=off:rtra=on_2999 on theBenchmark for (2999ds/24Mi)
% 0.22/0.28 % (2313760)Refutation not found, incomplete strategy
% 0.22/0.28 % (2313760)------------------------------
% 0.22/0.28 % (2313760)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.22/0.28 % (2313760)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.22/0.28 % (2313760)CaDiCaL version: 2.1.3
% 0.22/0.28 % (2313760)Termination reason: Refutation not found, incomplete strategy
% 0.22/0.28 % (2313760)Time elapsed: 0.001 s
% 0.22/0.28 % (2313760)Peak memory usage: 12 MB
% 0.22/0.28 % (2313760)Instructions burned: 1 (million)
% 0.22/0.28 % (2313760)------------------------------
% 0.22/0.28 % (2313760)------------------------------
% 0.22/0.28 % (2313762)WARNING Broken Constraint: if ho_split_queue_ratios(1,8) has been set then ho_split_queue(off) is equal to on
% 0.22/0.28 % (2313762)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
% 0.22/0.28 % (2313757)lrs+10_1_cnfonf=off:si=on:uwa=one_side_interpreted:random_seed=3416605816:i=3:rtra=on:inj=on:ntd=on_2999 on theBenchmark for (2999ds/3Mi)
% 0.22/0.28 % (2313756)lrs+10_16_si=on:nwc=1.5:random_seed=2761331816:i=18:kws=arity_squared:rtra=on:fe=abstraction:ntd=on_2999 on theBenchmark for (2999ds/18Mi)
% 0.22/0.28 % (2313755)lrs+10_40_drc=off:e2e=on:si=on:uwa=one_side_interpreted:random_seed=907760009:s2a=on:i=87:rtra=on:ntd=on_2999 on theBenchmark for (2999ds/87Mi)
% 0.22/0.28 % (2313759)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=2470220375: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)
% 0.22/0.28 % (2313761)lrs+10_1_to=lpo:sil=128000:e2e=on:si=on:random_seed=1311870705:s2a=on:i=75:s2at=3:aac=none:bd=preordered:rtra=on:fe=abstraction_2999 on theBenchmark for (2999ds/75Mi)
% 0.22/0.28 % (2313762)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=977204026:hsqr=1,8:i=157:s2at=5:add=on:nm=2:rtra=on_2999 on theBenchmark for (2999ds/157Mi)
% 0.22/0.28 % (2313757)Refutation not found, incomplete strategy
% 0.22/0.28 % (2313757)------------------------------
% 0.22/0.28 % (2313757)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.22/0.28 % (2313757)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.22/0.28 % (2313757)CaDiCaL version: 2.1.3
% 0.22/0.28 % (2313757)Termination reason: Refutation not found, incomplete strategy
% 0.22/0.28 % (2313757)Time elapsed: 0.001 s
% 0.22/0.28 % (2313757)Peak memory usage: 12 MB
% 0.22/0.28 % (2313756) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-2313742-2313756"...
% 0.22/0.28 % (2313755) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-2313742-2313755"...
% 0.22/0.28 % (2313757)------------------------------
% 0.22/0.28 % (2313757)------------------------------
% 0.22/0.28 % (2313761) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-2313742-2313761"...
% 0.22/0.28 % (2313759)Refutation not found, incomplete strategy
% 0.22/0.28 % (2313759)------------------------------
% 0.22/0.28 % (2313759)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.22/0.28 % (2313759)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.22/0.28 % (2313759)CaDiCaL version: 2.1.3
% 0.22/0.28 % (2313759)Termination reason: Refutation not found, incomplete strategy
% 0.22/0.28 % (2313759)Time elapsed: 0.002 s
% 0.22/0.28 % (2313759)Peak memory usage: 12 MB
% 0.22/0.28 % (2313759)Instructions burned: 1 (million)
% 0.22/0.28 % (2313762)Refutation not found, incomplete strategy
% 0.22/0.28 % (2313762)------------------------------
% 0.22/0.28 % (2313762)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.22/0.28 % (2313762)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.22/0.28 % (2313762)CaDiCaL version: 2.1.3
% 0.22/0.28 % (2313762)Termination reason: Refutation not found, incomplete strategy
% 0.22/0.28 % (2313762)Time elapsed: 0.001 s
% 0.22/0.28 % (2313762)Peak memory usage: 12 MB
% 0.22/0.28 % (2313762)Instructions burned: 1 (million)
% 0.22/0.28 % (2313755)...printing done.
% 0.22/0.28 % (2313756)...printing done.
% 0.22/0.28 % (2313759)------------------------------
% 0.22/0.28 % (2313759)------------------------------
% 0.22/0.28 % (2313762)------------------------------
% 0.22/0.28 % (2313762)------------------------------
% 0.22/0.28 % (2313761)...printing done.
% 0.22/0.28 % (2313756)Refutation found. Thanks to Tanya!
% 0.22/0.28 % SZS status Theorem for theBenchmark
% 0.22/0.28 % SZS output start Proof for theBenchmark
% See solution above
% 0.22/0.28 % (2313756)------------------------------
% 0.22/0.28 % (2313756)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.22/0.28 % (2313756)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.22/0.28 % (2313756)CaDiCaL version: 2.1.3
% 0.22/0.28 % (2313756)Termination reason: Refutation
% 0.22/0.28 % (2313756)Time elapsed: 0.002 s
% 0.22/0.28 % (2313756)Peak memory usage: 12 MB
% 0.22/0.28 % (2313756)Instructions burned: 1 (million)
% 0.22/0.28 % (2313742)Success in time 0.041 s
% 0.22/0.28 % Vampire exiting
%------------------------------------------------------------------------------