%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : SYN991^1 : TPTP v9.3.1. Released v3.7.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% Computer : n011.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 08:42:05 AM UTC 2026
% Result : Unsatisfiable 0.19s 0.27s
% Output : Refutation 0.19s
% Verified :
% SZS Type : Refutation
% Derivation depth : 10
% Number of leaves : 2
% Syntax : Number of formulae : 15 ( 15 unt; 0 typ; 0 def)
% Number of atoms : 35 ( 12 equ; 0 cnn)
% Maximal formula atoms : 1 ( 2 avg)
% Number of connectives : 36 ( 0 ~; 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 : 25 ( 12 ^; 13 !; 0 ?; 25 :)
% Comments :
%------------------------------------------------------------------------------
thf(type_def_5,type,
sTfun: ( $tType * $tType ) > $tType ).
thf(func_def_0,type,
refl: ( $i > $i > $o ) > $o ).
thf(func_def_2,type,
vPI:
!>[X0: $tType] : ( ( X0 > $o ) > $o ) ).
thf(func_def_3,type,
db1:
!>[X0: $tType] : X0 ).
thf(func_def_4,type,
db0:
!>[X0: $tType] : X0 ).
thf(func_def_5,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/sandbox/benchmark/theBenchmark.p',refl) ).
thf(f2,axiom,
! [X0: $i > $i > $o] : ( refl @ X0 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax) ).
thf(f3,plain,
( refl
= ( ^ [X0: $i > $i > $o] :
! [X1: $i] : ( X0 @ X1 @ X1 ) ) ),
inference(rectify,[],[f1]) ).
thf(f4,plain,
( refl
= ( ^ [Y0: $i > $i > $o] :
( !! @ $i
@ ^ [Y1: $i] : ( Y0 @ Y1 @ Y1 ) ) ) ),
inference(fool_elimination,[],[f3]) ).
thf(f5,plain,
! [X0: $i > $i > $o] : ( refl @ X0 ),
inference(rectify,[],[f2]) ).
thf(f6,plain,
! [X0: $i > $i > $o] :
( ( refl @ X0 )
= $true ),
inference(fool_elimination,[],[f5]) ).
thf(f7,plain,
( refl
= ( ^ [Y0: $i > $i > $o] :
( !! @ $i
@ ^ [Y1: $i] : ( Y0 @ Y1 @ Y1 ) ) ) ),
inference(cnf_transformation,[],[f4]) ).
thf(f8,plain,
! [X0: $i > $i > $o] :
( ( refl @ X0 )
= $true ),
inference(cnf_transformation,[],[f6]) ).
thf(f11,plain,
! [X0: $i > $i > $o] :
( $true
= ( ^ [Y0: $i > $i > $o] :
( !! @ $i
@ ^ [Y1: $i] : ( Y0 @ Y1 @ Y1 ) )
@ X0 ) ),
inference(definition_unfolding,[],[f8,f7]) ).
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] :
( $true
= ( ^ [Y0: $i] : ( X0 @ Y0 @ Y0 )
@ X1 ) ),
inference(pi_proxy_clausification,[],[f12]) ).
thf(f14,plain,
! [X0: $i > $i > $o,X1: $i] :
( ( X0 @ X1 @ X1 )
= $true ),
inference(beta-eta_normalization,[],[f13]) ).
thf(f25,plain,
! [X1: $i] :
( $true
= ( ^ [Y0: $i,Y1: $i] : $false
@ X1
@ X1 ) ),
inference(primitive_instantiation,[],[f14]) ).
thf(f30,plain,
$true = $false,
inference(beta-eta_normalization,[],[f25]) ).
thf(f31,plain,
$false,
inference(trivial_inequality_removal,[],[f30]) ).
%------------------------------------------------------------------------------
%----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/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.10/0.19 % Computer : n011.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 16:20:16 UTC 2026
% 0.10/0.19 % CPUTime :
% 0.10/0.19 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.10/0.21 Running first-order model finding
% 0.10/0.21 Running: /export/starexec/sandbox/solver/bin/vampire-ho --input_syntax tptp --output_axiom_names on --mode casc --intent sat -m 16384 --cores 7 -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.19/0.27 % (285535)Will run a generic schedule for satisfiability detection.
% 0.19/0.27 % (285541)% WARNING: option uhcvi not known.
% 0.19/0.27 % (285541)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=3125051251:i=135531:add=off:rawr=on_2999 on theBenchmark for (2999ds/135531Mi)
% 0.19/0.27 % (285541)WARNING: Not using 'newcnf' as currently not compatible with higher-order inputs.
% 0.19/0.27 % (285541)WARNING: Look ahead literal selection is not currently compatible with higher-order. Ignoring request to use
% 0.19/0.27 % (285541) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-285535-285541"...
% 0.19/0.27 % (285541)...printing done.
% 0.19/0.27 % (285540)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=1094890412_2999 on theBenchmark for (2999ds/0Mi)
% 0.19/0.27 % (285544)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=2382054582:i=116_2999 on theBenchmark for (2999ds/116Mi)
% 0.19/0.27 % (285542)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=3902437728:i=88024:add=on:rawr=on_2999 on theBenchmark for (2999ds/88024Mi)
% 0.19/0.27 % (285543)dis+10_1_sil=32000:sp=arity:random_seed=2209446350:i=103:fgj=on_2999 on theBenchmark for (2999ds/103Mi)
% 0.19/0.27 % (285544)WARNING: Not using 'newcnf' as currently not compatible with higher-order inputs.
% 0.19/0.27 % Exception at run slice level
% 0.19/0.27 User error: Finite model building is currently not compatible with polymorphism or higher-order constructs
% 0.19/0.27 % (285544) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-285535-285544"...
% 0.19/0.27 % (285543) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-285535-285543"...
% 0.19/0.27 % (285542) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-285535-285542"...
% 0.19/0.27 % (285541)Refutation found. Thanks to Tanya!
% 0.19/0.27 % SZS status Unsatisfiable for theBenchmark
% 0.19/0.27 % SZS output start Proof for theBenchmark
% See solution above
% 0.19/0.27 % (285541)------------------------------
% 0.19/0.27 % (285541)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.19/0.27 % (285541)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.19/0.27 % (285541)CaDiCaL version: 2.1.3
% 0.19/0.27 % (285541)Termination reason: Refutation
% 0.19/0.27 % (285541)Time elapsed: 0.001 s
% 0.19/0.27 % (285541)Peak memory usage: 12 MB
% 0.19/0.27 % (285541)Instructions burned: 1 (million)
% 0.19/0.27 % (285535)Success in time 0.043 s
% 0.19/0.27 % Vampire exiting
%------------------------------------------------------------------------------