%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : SYO128^5 : TPTP v9.3.1. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% Computer : n001.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 08:46:40 AM UTC 2026
% Result : Theorem 0.11s 0.27s
% Output : Refutation 0.11s
% Verified :
% SZS Type : Refutation
% Derivation depth : 12
% Number of leaves : 3
% Syntax : Number of formulae : 24 ( 9 unt; 0 typ; 2 def)
% Number of atoms : 141 ( 36 equ)
% Maximal formula atoms : 7 ( 5 avg)
% Number of connectives : 70 ( 25 ~; 21 |; 18 &)
% ( 2 <=>; 4 =>; 0 <=; 0 <~>)
% Maximal formula depth : 6 ( 3 avg)
% Maximal term depth : 0 ( 0 avg)
% Number of FOOLs : 72 ( 72 fml; 0 var)
% Number of types : 1 ( 0 usr)
% Number of type conns : 0 ( 0 >; 0 *; 0 +; 0 <<)
% Number of predicates : 8 ( 5 usr; 7 prp; 0-2 aty)
% Number of functors : 0 ( 0 usr; 0 con; --- aty)
% Number of variables : 0 ( 0 sgn 0 !; 0 ?; 0 :)
% Comments :
%------------------------------------------------------------------------------
tff(func_def_0,type,
r: $o ).
tff(func_def_1,type,
p: $o ).
tff(func_def_2,type,
q: $o ).
tff(f1,conjecture,
( ( ( r
| q )
& p )
=> ( ( r
& p )
| ( q
& p ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cDISJ_BUG_2) ).
tff(f2,negated_conjecture,
~ ( ( ( r
| q )
& p )
=> ( ( r
& p )
| ( q
& p ) ) ),
inference(negated_conjecture,[status(cth)],[f1]) ).
tff(f3,plain,
~ ( ( ( r
| q )
& p )
=> ( ( r
& p )
| ( q
& p ) ) ),
inference(rectify,[],[f2]) ).
tff(f4,plain,
~ ( ( ( ( r = $true )
| ( q = $true ) )
& ( p = $true ) )
=> ( ( ( r = $true )
& ( p = $true ) )
| ( ( q = $true )
& ( p = $true ) ) ) ),
inference(fool_elimination,[],[f3]) ).
tff(f5,plain,
( ( ( r != $true )
| ( p != $true ) )
& ( ( q != $true )
| ( p != $true ) )
& ( ( r = $true )
| ( q = $true ) )
& ( p = $true ) ),
inference(ennf_transformation,[],[f4]) ).
tff(f6,plain,
( ( ( r != $true )
| ( p != $true ) )
& ( ( q != $true )
| ( p != $true ) )
& ( ( r = $true )
| ( q = $true ) )
& ( p = $true ) ),
inference(flattening,[],[f5]) ).
tff(f7,plain,
p = $true,
inference(cnf_transformation,[],[f6]) ).
tff(f8,plain,
( ( r = $true )
| ( q = $true ) ),
inference(cnf_transformation,[],[f6]) ).
tff(f9,plain,
( ( q != $true )
| ( p != $true ) ),
inference(cnf_transformation,[],[f6]) ).
tff(f10,plain,
( ( r != $true )
| ( p != $true ) ),
inference(cnf_transformation,[],[f6]) ).
tff(f13,plain,
( ( r != $true )
| ( $true != $true ) ),
inference(definition_unfolding,[],[f10,f7]) ).
tff(f14,plain,
( ( q != $true )
| ( $true != $true ) ),
inference(definition_unfolding,[],[f9,f7]) ).
tff(f15,plain,
q != $true,
inference(trivial_inequality_removal,[],[f14]) ).
tff(f16,plain,
r != $true,
inference(trivial_inequality_removal,[],[f13]) ).
tff(f18,definition,
( spl0_1
<=> ( q = $true ) ),
introduced(definition,[new_symbols(definition,[spl0_1])],[avatar_definition]) ).
tff(f22,definition,
( spl0_2
<=> ( r = $true ) ),
introduced(definition,[new_symbols(definition,[spl0_2])],[avatar_definition]) ).
tff(f25,plain,
( spl0_1
| spl0_2 ),
inference(avatar_split_clause,[],[f8,f22,f18]) ).
tff(f26,plain,
~ spl0_1,
inference(avatar_split_clause,[],[f15,f18]) ).
tff(f27,plain,
~ spl0_2,
inference(avatar_split_clause,[],[f16,f22]) ).
cnf(s1,plain,
( spl0_1
| spl0_2 ),
inference(sat_conversion,[],[f25]) ).
cnf(s2,plain,
~ spl0_1,
inference(sat_conversion,[],[f26]) ).
cnf(s3,plain,
~ spl0_2,
inference(sat_conversion,[],[f27]) ).
cnf(s4,plain,
$false,
inference(rat,[],[s1,s3,s2]) ).
tff(f28,plain,
$false,
inference(avatar_sat_refutation,[],[s4]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SYO128^5 : TPTP v9.3.1. Released v4.0.0.
% 0.00/0.06 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.11/0.18 % Computer : n001.cluster.edu
% 0.11/0.18 % Model : x86_64 x86_64
% 0.11/0.18 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.18 % Memory : 8046.5625MB
% 0.11/0.18 % OS : Linux 6.8.0-71-generic
% 0.11/0.18 % CPULimit : 300
% 0.11/0.18 % WCLimit : 300
% 0.11/0.18 % DateTime : Tue Sep 29 16:40:21 UTC 2026
% 0.11/0.18 % CPUTime :
% 0.11/0.18 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.11/0.21 Running higher-order theorem proving
% 0.11/0.23 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
% 0.11/0.27 % (1465320)Detected formulas, will run a generic FOF schedule.
% 0.11/0.27 % (1465337)lrs+1011_1_sp=occurrence:random_seed=3832104794:st=6:sd=4:ss=included_2999 on theBenchmark for (2999ds/0Mi)
% 0.11/0.27 % (1465337) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-1465320-1465337"...
% 0.11/0.27 % (1465337)...printing done.
% 0.11/0.27 % (1465337)Refutation found. Thanks to Tanya!
% 0.11/0.27 % SZS status Theorem for theBenchmark
% 0.11/0.27 % SZS output start Proof for theBenchmark
% See solution above
% 0.11/0.27 % (1465337)------------------------------
% 0.11/0.27 % (1465337)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.11/0.27 % (1465337)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.11/0.27 % (1465337)CaDiCaL version: 2.1.3
% 0.11/0.27 % (1465337)Termination reason: Refutation
% 0.11/0.27 % (1465337)Time elapsed: 0.001 s
% 0.11/0.27 % (1465337)Peak memory usage: 12 MB
% 0.11/0.27 % (1465337)Instructions burned: 1 (million)
% 0.11/0.27 % (1465320)Success in time 0.034 s
% 0.11/0.27 % Vampire exiting
%------------------------------------------------------------------------------