%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : SYO349^5 : TPTP v9.3.1. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% Computer : n007.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 08:49:46 AM UTC 2026
% Result : Theorem 0.19s 0.26s
% Output : Refutation 0.19s
% Verified :
% SZS Type : Refutation
% Derivation depth : 8
% Number of leaves : 1
% Syntax : Number of formulae : 13 ( 7 unt; 0 typ; 0 def)
% Number of atoms : 83 ( 18 equ; 0 cnn)
% Maximal formula atoms : 6 ( 6 avg)
% Number of connectives : 56 ( 22 ~; 15 |; 3 &; 16 @)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 7 ( 4 avg)
% Number of types : 1 ( 0 usr)
% Number of type conns : 0 ( 0 >; 0 *; 0 +; 0 <<)
% Number of symbols : 8 ( 5 usr; 4 con; 0-2 aty)
% Number of variables : 0 ( 0 ^; 0 !; 0 ?; 0 :)
% Comments :
%------------------------------------------------------------------------------
thf(type_def_5,type,
sTfun: ( $tType * $tType ) > $tType ).
thf(func_def_0,type,
cB: $o ).
thf(func_def_1,type,
cP: $o > $o ).
thf(func_def_2,type,
cA: $o ).
thf(func_def_6,type,
vNOT: $o > $o ).
thf(f1,conjecture,
( ( cP @ cB )
| ~ ( cP @ cA )
| ~ cB
| ~ cA ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cTHM617) ).
thf(f2,negated_conjecture,
~ ( ( cP @ cB )
| ~ ( cP @ cA )
| ~ cB
| ~ cA ),
inference(negated_conjecture,[status(cth)],[f1]) ).
thf(f3,plain,
~ ( ( cP @ cB )
| ~ ( cP @ cA )
| ~ cB
| ~ cA ),
inference(rectify,[],[f2]) ).
thf(f4,plain,
~ ( ( ( cP @ cB )
= $true )
| ( ( cP @ cA )
!= $true )
| ( cB != $true )
| ( cA != $true ) ),
inference(fool_elimination,[],[f3]) ).
thf(f5,plain,
~ ( ( ( cP @ cB )
= $true )
| ( ( cP @ cA )
!= $true )
| ( cB != $true )
| ( cA != $true ) ),
inference(flattening,[],[f4]) ).
thf(f6,plain,
( ( ( cP @ cB )
!= $true )
& ( ( cP @ cA )
= $true )
& ( cB = $true )
& ( cA = $true ) ),
inference(ennf_transformation,[],[f5]) ).
thf(f7,plain,
cA = $true,
inference(cnf_transformation,[],[f6]) ).
thf(f8,plain,
cB = $true,
inference(cnf_transformation,[],[f6]) ).
thf(f9,plain,
( ( cP @ cA )
= $true ),
inference(cnf_transformation,[],[f6]) ).
thf(f10,plain,
( ( cP @ cB )
!= $true ),
inference(cnf_transformation,[],[f6]) ).
thf(f13,plain,
( $true
!= ( cP @ $true ) ),
inference(definition_unfolding,[],[f10,f8]) ).
thf(f14,plain,
( $true
= ( cP @ $true ) ),
inference(definition_unfolding,[],[f9,f7]) ).
thf(f15,plain,
$false,
inference(global_subsumption,[],[f13,f14]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SYO349^5 : TPTP v9.3.1. Released v4.0.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.08/0.18 % Computer : n007.cluster.edu
% 0.08/0.18 % Model : x86_64 x86_64
% 0.08/0.18 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.18 % Memory : 8046.5625MB
% 0.08/0.18 % OS : Linux 6.8.0-71-generic
% 0.08/0.18 % CPULimit : 300
% 0.08/0.18 % WCLimit : 300
% 0.08/0.18 % DateTime : Tue Sep 29 16:46:11 UTC 2026
% 0.08/0.18 % CPUTime :
% 0.08/0.18 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.08/0.21 Running first-order model finding
% 0.08/0.21 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
% 0.19/0.26 % (3624744)Will run a generic schedule for satisfiability detection.
% 0.19/0.26 % (3624749)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=1397406916_2999 on theBenchmark for (2999ds/0Mi)
% 0.19/0.26 % Exception at run slice level
% 0.19/0.26 User error: Finite model building is currently not compatible with polymorphism or higher-order constructs
% 0.19/0.26 % (3624750)% WARNING: option uhcvi not known.
% 0.19/0.26 % (3624752)dis+10_1_sil=32000:sp=arity:random_seed=2820448704:i=103:fgj=on_2999 on theBenchmark for (2999ds/103Mi)
% 0.19/0.26 % (3624750)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=724685612:i=135531:add=off:rawr=on_2999 on theBenchmark for (2999ds/135531Mi)
% 0.19/0.26 % (3624751)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=3582735476:i=88024:add=on:rawr=on_2999 on theBenchmark for (2999ds/88024Mi)
% 0.19/0.26 % (3624753)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=2663432530:i=116_2999 on theBenchmark for (2999ds/116Mi)
% 0.19/0.26 % (3624750)WARNING: Not using 'newcnf' as currently not compatible with higher-order inputs.
% 0.19/0.26 % (3624753)WARNING: Not using 'newcnf' as currently not compatible with higher-order inputs.
% 0.19/0.26 % (3624750)WARNING: Look ahead literal selection is not currently compatible with higher-order. Ignoring request to use
% 0.19/0.26 % (3624751) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-3624744-3624751"...
% 0.19/0.26 % (3624753) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-3624744-3624753"...
% 0.19/0.26 % (3624752) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-3624744-3624752"...
% 0.19/0.26 % (3624750) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-3624744-3624750"...
% 0.19/0.26 % (3624751)...printing done.
% 0.19/0.26 % (3624750)...printing done.
% 0.19/0.26 % (3624753)...printing done.
% 0.19/0.26 % (3624752)...printing done.
% 0.19/0.26 % (3624757)fmb+10_1_fmbas=predicate:sil=64000:sas=cadical:random_seed=1904848436:i=714:nm=2_2999 on theBenchmark for (2999ds/714Mi)
% 0.19/0.26 % Exception at run slice level
% 0.19/0.26 User error: Finite model building is currently not compatible with polymorphism or higher-order constructs
% 0.19/0.26 % (3624751)Refutation found. Thanks to Tanya!
% 0.19/0.26 % SZS status Theorem for theBenchmark
% 0.19/0.26 % SZS output start Proof for theBenchmark
% See solution above
% 0.19/0.26 % (3624751)------------------------------
% 0.19/0.26 % (3624751)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.19/0.26 % (3624751)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.19/0.26 % (3624751)CaDiCaL version: 2.1.3
% 0.19/0.26 % (3624751)Termination reason: Refutation
% 0.19/0.26 % (3624751)Time elapsed: 0.001 s
% 0.19/0.26 % (3624751)Peak memory usage: 11 MB
% 0.19/0.26 % (3624744)Success in time 0.039 s
% 0.19/0.26 % Vampire exiting
%------------------------------------------------------------------------------