%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : SEU568^2 : 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 : n026.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 08:32:29 AM UTC 2026
% Result : Theorem 0.09s 0.24s
% Output : Refutation 0.09s
% Verified :
% SZS Type : Refutation
% Derivation depth : 10
% Number of leaves : 1
% Syntax : Number of formulae : 13 ( 5 unt; 0 typ; 0 def)
% Number of atoms : 105 ( 32 equ; 0 cnn)
% Maximal formula atoms : 5 ( 8 avg)
% Number of connectives : 88 ( 18 ~; 0 |; 12 &; 38 @)
% ( 0 <=>; 20 =>; 0 <=; 0 <~>)
% Maximal formula depth : 12 ( 7 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 0 ( 0 >; 0 *; 0 +; 0 <<)
% Number of symbols : 19 ( 16 usr; 7 con; 0-4 aty)
% Number of variables : 21 ( 0 ^; 15 !; 6 ?; 21 :)
% Comments :
%------------------------------------------------------------------------------
thf(type_def_5,type,
sTfun: ( $tType * $tType ) > $tType ).
thf(func_def_0,type,
in: $i > $i > $o ).
thf(func_def_1,type,
subset: $i > $i > $o ).
thf(func_def_2,type,
notsubsetI: $o ).
thf(func_def_4,type,
notequalI1: $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,
db2:
!>[X0: $tType] : X0 ).
thf(func_def_8,type,
db0:
!>[X0: $tType] : X0 ).
thf(func_def_9,type,
vNOT: $o > $o ).
thf(func_def_10,type,
db1:
!>[X0: $tType] : X0 ).
thf(func_def_11,type,
vLAM:
!>[X0: $tType,X1: $tType] : ( X1 > X0 > X1 ) ).
thf(func_def_12,type,
vEQ:
!>[X0: $tType] : ( X0 > X0 > $o ) ).
thf(f3,conjecture,
( notsubsetI
=> ( notequalI1
=> ! [X0: $i,X1: $i,X2: $i] :
( ( in @ X2 @ X0 )
=> ( ~ ( in @ X2 @ X1 )
=> ( X0 != X1 ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',notequalI2) ).
thf(f4,negated_conjecture,
~ ( notsubsetI
=> ( notequalI1
=> ! [X0: $i,X1: $i,X2: $i] :
( ( in @ X2 @ X0 )
=> ( ~ ( in @ X2 @ X1 )
=> ( X0 != X1 ) ) ) ) ),
inference(negated_conjecture,[status(cth)],[f3]) ).
thf(f9,plain,
~ ( notsubsetI
=> ( notequalI1
=> ! [X0: $i,X1: $i,X2: $i] :
( ( in @ X2 @ X0 )
=> ( ~ ( in @ X2 @ X1 )
=> ( X0 != X1 ) ) ) ) ),
inference(rectify,[],[f4]) ).
thf(f10,plain,
~ ( ( notsubsetI = $true )
=> ( ( notequalI1 = $true )
=> ! [X0: $i,X1: $i,X2: $i] :
( ( ( in @ X2 @ X0 )
= $true )
=> ( ( ( in @ X2 @ X1 )
!= $true )
=> ( X0 != X1 ) ) ) ) ),
inference(fool_elimination,[],[f9]) ).
thf(f11,plain,
~ ( ( notsubsetI = $true )
=> ( ( notequalI1 = $true )
=> ! [X0: $i,X1: $i,X2: $i] :
( ( ( in @ X2 @ X0 )
= $true )
=> ( ( ( in @ X2 @ X1 )
!= $true )
=> ( X0 != X1 ) ) ) ) ),
inference(flattening,[],[f10]) ).
thf(f12,plain,
( ? [X0: $i,X1: $i,X2: $i] :
( ( X0 = X1 )
& ( ( in @ X2 @ X1 )
!= $true )
& ( ( in @ X2 @ X0 )
= $true ) )
& ( notequalI1 = $true )
& ( notsubsetI = $true ) ),
inference(ennf_transformation,[],[f11]) ).
thf(f13,plain,
( ? [X0: $i,X1: $i,X2: $i] :
( ( X0 = X1 )
& ( ( in @ X2 @ X1 )
!= $true )
& ( ( in @ X2 @ X0 )
= $true ) )
& ( notequalI1 = $true )
& ( notsubsetI = $true ) ),
inference(flattening,[],[f12]) ).
thf(f14,plain,
( ( sK0 = sK1 )
& ( $true
!= ( in @ sK2 @ sK1 ) )
& ( $true
= ( in @ sK2 @ sK0 ) )
& ( notequalI1 = $true )
& ( notsubsetI = $true ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK0,sK1,sK2]),skolemize(X0,sK0),skolemize(X1,sK1),skolemize(X2,sK2)],[f13]) ).
thf(f19,plain,
( $true
= ( in @ sK2 @ sK0 ) ),
inference(cnf_transformation,[],[f14]) ).
thf(f20,plain,
( $true
!= ( in @ sK2 @ sK1 ) ),
inference(cnf_transformation,[],[f14]) ).
thf(f21,plain,
sK0 = sK1,
inference(cnf_transformation,[],[f14]) ).
thf(f26,plain,
( $true
= ( in @ sK2 @ sK1 ) ),
inference(definition_unfolding,[],[f19,f21]) ).
thf(f45,plain,
$false,
inference(forward_subsumption_resolution,[],[f26,f20]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SEU568^2 : TPTP v9.3.1. Released v3.7.0.
% 0.00/0.06 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.09/0.18 % Computer : n026.cluster.edu
% 0.09/0.18 % Model : x86_64 x86_64
% 0.09/0.18 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.18 % Memory : 8046.5625MB
% 0.09/0.18 % OS : Linux 6.8.0-71-generic
% 0.09/0.18 % CPULimit : 300
% 0.09/0.18 % WCLimit : 300
% 0.09/0.18 % DateTime : Tue Sep 29 13:53:43 UTC 2026
% 0.09/0.18 % CPUTime :
% 0.09/0.18 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.09/0.21 Running first-order model finding
% 0.09/0.21 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
% 0.09/0.24 % (629278)Will run a generic schedule for satisfiability detection.
% 0.09/0.24 % (629288)dis+10_1_sil=32000:sp=arity:random_seed=2849399439:i=103:fgj=on_3000 on theBenchmark for (3000ds/103Mi)
% 0.09/0.24 % (629285)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=1211484324_3000 on theBenchmark for (3000ds/0Mi)
% 0.09/0.24 % (629287)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=3766979453:i=88024:add=on:rawr=on_3000 on theBenchmark for (3000ds/88024Mi)
% 0.09/0.24 % (629289)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=2312319589:i=116_3000 on theBenchmark for (3000ds/116Mi)
% 0.09/0.24 % (629292)ott-3_16_to=lpo:sil=16000:sp=arity:fd=off:rp=on:random_seed=316773570:i=159:bs=unit_only:nicw=on:fsr=off:amm=off_3000 on theBenchmark for (3000ds/159Mi)
% 0.09/0.24 % (629290)ott+1_1_to=lpo:sil=16000:sp=reverse_arity:erd=off:random_seed=2718795971:i=131_3000 on theBenchmark for (3000ds/131Mi)
% 0.09/0.24 % (629286)% WARNING: option uhcvi not known.
% 0.09/0.24 % (629289)WARNING: Not using 'newcnf' as currently not compatible with higher-order inputs.
% 0.09/0.24 % Exception at run slice level
% 0.09/0.24 User error: Finite model building is currently not compatible with polymorphism or higher-order constructs
% 0.09/0.24 % (629288) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-629278-629288"...
% 0.09/0.24 % (629289) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-629278-629289"...
% 0.09/0.24 % (629287) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-629278-629287"...
% 0.09/0.24 % (629290) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-629278-629290"...
% 0.09/0.24 % (629292) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-629278-629292"...
% 0.09/0.24 % (629286)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=441588749:i=135531:add=off:rawr=on_3000 on theBenchmark for (3000ds/135531Mi)
% 0.09/0.24 % (629288)...printing done.
% 0.09/0.24 % (629289)...printing done.
% 0.09/0.24 % (629286)WARNING: Not using 'newcnf' as currently not compatible with higher-order inputs.
% 0.09/0.24 % (629287)...printing done.
% 0.09/0.24 % (629290)...printing done.
% 0.09/0.24 % (629286)WARNING: Look ahead literal selection is not currently compatible with higher-order. Ignoring request to use
% 0.09/0.24 % (629292)...printing done.
% 0.09/0.24 % (629286) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-629278-629286"...
% 0.09/0.24 % (629288)Refutation found. Thanks to Tanya!
% 0.09/0.24 % SZS status Theorem for theBenchmark
% 0.09/0.24 % SZS output start Proof for theBenchmark
% See solution above
% 0.09/0.24 % (629288)------------------------------
% 0.09/0.24 % (629288)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.09/0.24 % (629288)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.09/0.24 % (629288)CaDiCaL version: 2.1.3
% 0.09/0.24 % (629288)Termination reason: Refutation
% 0.09/0.24 % (629288)Time elapsed: 0.002 s
% 0.09/0.24 % (629288)Peak memory usage: 12 MB
% 0.09/0.24 % (629288)Instructions burned: 2 (million)
% 0.09/0.24 % (629278)Success in time 0.024 s
% 0.09/0.24 % Vampire exiting
%------------------------------------------------------------------------------