%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : SYO132^5 : TPTP v9.3.1. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% Computer : n004.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 08:49:01 AM UTC 2026
% Result : Theorem 0.07s 0.24s
% Output : Refutation 0.07s
% Verified :
% SZS Type : Refutation
% Derivation depth : 11
% Number of leaves : 3
% Syntax : Number of formulae : 22 ( 10 unt; 0 typ; 2 def)
% Number of atoms : 141 ( 28 equ; 0 cnn)
% Maximal formula atoms : 9 ( 6 avg)
% Number of connectives : 78 ( 15 ~; 6 |; 18 &; 33 @)
% ( 2 <=>; 4 =>; 0 <=; 0 <~>)
% Maximal formula depth : 6 ( 3 avg)
% Maximal term depth : 0 ( 0 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 0 ( 0 >; 0 *; 0 +; 0 <<)
% Number of symbols : 11 ( 8 usr; 5 con; 0-2 aty)
% Number of variables : 0 ( 0 sgn 0 !; 0 ?; 0 :)
% Comments :
%------------------------------------------------------------------------------
thf(type_def_5,type,
sTfun: ( $tType * $tType ) > $tType ).
thf(func_def_1,type,
cS: $i > $o ).
thf(func_def_2,type,
cT: $i > $o ).
thf(func_def_3,type,
cP: ( $i > $o ) > $o ).
thf(func_def_7,type,
vNOT: $o > $o ).
thf(f1,conjecture,
( ( ( cS = cT )
& ( cT @ cX )
& ( cP @ cS ) )
=> ( ( cS @ cX )
& ( cP @ cT ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cTHM503) ).
thf(f2,negated_conjecture,
~ ( ( ( cS = cT )
& ( cT @ cX )
& ( cP @ cS ) )
=> ( ( cS @ cX )
& ( cP @ cT ) ) ),
inference(negated_conjecture,[status(cth)],[f1]) ).
thf(f3,plain,
~ ( ( ( cS = cT )
& ( cT @ cX )
& ( cP @ cS ) )
=> ( ( cS @ cX )
& ( cP @ cT ) ) ),
inference(rectify,[],[f2]) ).
thf(f4,plain,
~ ( ( ( cS = cT )
& ( ( cT @ cX )
= $true )
& ( ( cP @ cS )
= $true ) )
=> ( ( ( cS @ cX )
= $true )
& ( ( cP @ cT )
= $true ) ) ),
inference(fool_elimination,[],[f3]) ).
thf(f5,plain,
( ( ( ( cS @ cX )
!= $true )
| ( ( cP @ cT )
!= $true ) )
& ( cS = cT )
& ( ( cT @ cX )
= $true )
& ( ( cP @ cS )
= $true ) ),
inference(ennf_transformation,[],[f4]) ).
thf(f6,plain,
( ( ( ( cS @ cX )
!= $true )
| ( ( cP @ cT )
!= $true ) )
& ( cS = cT )
& ( ( cT @ cX )
= $true )
& ( ( cP @ cS )
= $true ) ),
inference(flattening,[],[f5]) ).
thf(f7,plain,
( ( cP @ cS )
= $true ),
inference(cnf_transformation,[],[f6]) ).
thf(f8,plain,
( ( cT @ cX )
= $true ),
inference(cnf_transformation,[],[f6]) ).
thf(f9,plain,
cS = cT,
inference(cnf_transformation,[],[f6]) ).
thf(f10,plain,
( ( ( cS @ cX )
!= $true )
| ( ( cP @ cT )
!= $true ) ),
inference(cnf_transformation,[],[f6]) ).
thf(f13,plain,
( ( ( cT @ cX )
!= $true )
| ( ( cP @ cT )
!= $true ) ),
inference(definition_unfolding,[],[f10,f9]) ).
thf(f14,plain,
( ( cP @ cT )
= $true ),
inference(definition_unfolding,[],[f7,f9]) ).
thf(f16,definition,
( spl0_1
<=> ( ( cP @ cT )
= $true ) ),
introduced(definition,[new_symbols(definition,[spl0_1])],[avatar_definition]) ).
thf(f20,definition,
( spl0_2
<=> ( ( cT @ cX )
= $true ) ),
introduced(definition,[new_symbols(definition,[spl0_2])],[avatar_definition]) ).
thf(f23,plain,
( ~ spl0_1
| ~ spl0_2 ),
inference(avatar_split_clause,[],[f13,f20,f16]) ).
thf(f24,plain,
spl0_2,
inference(avatar_split_clause,[],[f8,f20]) ).
thf(f25,plain,
spl0_1,
inference(avatar_split_clause,[],[f14,f16]) ).
cnf(s1,plain,
( ~ spl0_1
| ~ spl0_2 ),
inference(sat_conversion,[],[f23]) ).
cnf(s2,plain,
spl0_2,
inference(sat_conversion,[],[f24]) ).
cnf(s3,plain,
spl0_1,
inference(sat_conversion,[],[f25]) ).
cnf(s4,plain,
$false,
inference(rat,[],[s1,s2,s3]) ).
thf(f26,plain,
$false,
inference(avatar_sat_refutation,[],[s4]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : SYO132^5 : TPTP v9.3.1. Released v4.0.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.07/0.17 % Computer : n004.cluster.edu
% 0.07/0.17 % Model : x86_64 x86_64
% 0.07/0.17 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.07/0.17 % Memory : 8046.5625MB
% 0.07/0.17 % OS : Linux 6.8.0-71-generic
% 0.07/0.17 % CPULimit : 300
% 0.07/0.17 % WCLimit : 300
% 0.07/0.17 % DateTime : Tue Sep 29 16:34:38 UTC 2026
% 0.07/0.17 % CPUTime :
% 0.07/0.18 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.07/0.21 Running first-order model finding
% 0.07/0.21 Running: /export/starexec/sandbox2/solver/bin/vampire-ho --input_syntax tptp --output_axiom_names on --mode casc --intent sat -m 16384 --cores 7 -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.07/0.24 % (1520996)Will run a generic schedule for satisfiability detection.
% 0.07/0.24 % (1521002)% WARNING: option uhcvi not known.
% 0.07/0.24 % (1521002)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=3364315727:i=135531:add=off:rawr=on_2999 on theBenchmark for (2999ds/135531Mi)
% 0.07/0.24 % (1521002)WARNING: Not using 'newcnf' as currently not compatible with higher-order inputs.
% 0.07/0.24 % (1521002)WARNING: Look ahead literal selection is not currently compatible with higher-order. Ignoring request to use
% 0.07/0.24 % (1521002) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-1520996-1521002"...
% 0.07/0.24 % (1521002)...printing done.
% 0.07/0.24 % (1521002)Refutation found. Thanks to Tanya!
% 0.07/0.24 % SZS status Theorem for theBenchmark
% 0.07/0.24 % SZS output start Proof for theBenchmark
% See solution above
% 0.07/0.24 % (1521002)------------------------------
% 0.07/0.24 % (1521002)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.07/0.24 % (1521002)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.07/0.24 % (1521002)CaDiCaL version: 2.1.3
% 0.07/0.24 % (1521002)Termination reason: Refutation
% 0.07/0.24 % (1521002)Time elapsed: 0.001 s
% 0.07/0.24 % (1521002)Peak memory usage: 12 MB
% 0.07/0.24 % (1521002)Instructions burned: 1 (million)
% 0.07/0.24 % (1520996)Success in time 0.026 s
% 0.07/0.24 % Vampire exiting
%------------------------------------------------------------------------------