%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : SYO079^5 : 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 : n015.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 08:48:55 AM UTC 2026
% Result : Theorem 0.08s 0.26s
% Output : Refutation 0.08s
% Verified :
% SZS Type : Refutation
% Derivation depth : 12
% Number of leaves : 4
% Syntax : Number of formulae : 38 ( 5 unt; 0 typ; 3 def)
% Number of atoms : 165 ( 27 equ)
% Maximal formula atoms : 6 ( 4 avg)
% Number of connectives : 112 ( 39 ~; 50 |; 1 &)
% ( 18 <=>; 3 =>; 0 <=; 1 <~>)
% Maximal formula depth : 5 ( 3 avg)
% Maximal term depth : 0 ( 0 avg)
% Number of FOOLs : 54 ( 54 fml; 0 var)
% Number of types : 1 ( 0 usr)
% Number of type conns : 0 ( 0 >; 0 *; 0 +; 0 <<)
% Number of predicates : 9 ( 6 usr; 8 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,
cR: $o ).
tff(func_def_1,type,
cQ: $o ).
tff(func_def_2,type,
cP: $o ).
tff(f1,conjecture,
( ( ( cP
<=> cQ )
<=> cR )
=> ( cP
<=> ( cQ
<=> cR ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cTHM50_A) ).
tff(f2,negated_conjecture,
~ ( ( ( cP
<=> cQ )
<=> cR )
=> ( cP
<=> ( cQ
<=> cR ) ) ),
inference(negated_conjecture,[status(cth)],[f1]) ).
tff(f3,plain,
~ ( ( ( cP
<=> cQ )
<=> cR )
=> ( cP
<=> ( cQ
<=> cR ) ) ),
inference(rectify,[],[f2]) ).
tff(f4,plain,
( ( cP
<~> ( cQ
<=> cR ) )
& ( ( cP
<=> cQ )
<=> cR ) ),
inference(ennf_transformation,[],[f3]) ).
tff(f5,plain,
( ( cR = $true )
| ( cQ = $true )
| ( cP != $true ) ),
inference(cnf_transformation,[],[f4]) ).
tff(f6,plain,
( ( cR != $true )
| ( cQ != $true )
| ( cP != $true ) ),
inference(cnf_transformation,[],[f4]) ).
tff(f7,plain,
( ( cR != $true )
| ( cQ = $true )
| ( cP = $true ) ),
inference(cnf_transformation,[],[f4]) ).
tff(f8,plain,
( ( cR = $true )
| ( cQ != $true )
| ( cP = $true ) ),
inference(cnf_transformation,[],[f4]) ).
tff(f9,plain,
( ( cR = $true )
| ( cQ = $true )
| ( cP = $true ) ),
inference(cnf_transformation,[],[f4]) ).
tff(f10,plain,
( ( cR = $true )
| ( cQ != $true )
| ( cP != $true ) ),
inference(cnf_transformation,[],[f4]) ).
tff(f11,plain,
( ( cR != $true )
| ( cQ != $true )
| ( cP = $true ) ),
inference(cnf_transformation,[],[f4]) ).
tff(f12,plain,
( ( cR != $true )
| ( cQ = $true )
| ( cP != $true ) ),
inference(cnf_transformation,[],[f4]) ).
tff(f16,definition,
( spl0_1
<=> ( cP = $true ) ),
introduced(definition,[new_symbols(definition,[spl0_1])],[avatar_definition]) ).
tff(f20,definition,
( spl0_2
<=> ( cQ = $true ) ),
introduced(definition,[new_symbols(definition,[spl0_2])],[avatar_definition]) ).
tff(f24,definition,
( spl0_3
<=> ( cR = $true ) ),
introduced(definition,[new_symbols(definition,[spl0_3])],[avatar_definition]) ).
tff(f27,plain,
( ~ spl0_1
| spl0_2
| spl0_3 ),
inference(avatar_split_clause,[],[f5,f24,f20,f16]) ).
tff(f28,plain,
( ~ spl0_1
| ~ spl0_2
| ~ spl0_3 ),
inference(avatar_split_clause,[],[f6,f24,f20,f16]) ).
tff(f29,plain,
( spl0_1
| spl0_2
| ~ spl0_3 ),
inference(avatar_split_clause,[],[f7,f24,f20,f16]) ).
tff(f30,plain,
( spl0_1
| ~ spl0_2
| spl0_3 ),
inference(avatar_split_clause,[],[f8,f24,f20,f16]) ).
tff(f31,plain,
( spl0_1
| spl0_2
| spl0_3 ),
inference(avatar_split_clause,[],[f9,f24,f20,f16]) ).
tff(f32,plain,
( ~ spl0_1
| ~ spl0_2
| spl0_3 ),
inference(avatar_split_clause,[],[f10,f24,f20,f16]) ).
tff(f33,plain,
( spl0_1
| ~ spl0_2
| ~ spl0_3 ),
inference(avatar_split_clause,[],[f11,f24,f20,f16]) ).
tff(f34,plain,
( ~ spl0_1
| spl0_2
| ~ spl0_3 ),
inference(avatar_split_clause,[],[f12,f24,f20,f16]) ).
cnf(s1,plain,
( ~ spl0_1
| spl0_2
| spl0_3 ),
inference(sat_conversion,[],[f27]) ).
cnf(s2,plain,
( ~ spl0_1
| ~ spl0_2
| ~ spl0_3 ),
inference(sat_conversion,[],[f28]) ).
cnf(s3,plain,
( spl0_1
| spl0_2
| ~ spl0_3 ),
inference(sat_conversion,[],[f29]) ).
cnf(s4,plain,
( spl0_1
| ~ spl0_2
| spl0_3 ),
inference(sat_conversion,[],[f30]) ).
cnf(s5,plain,
( spl0_1
| spl0_2
| spl0_3 ),
inference(sat_conversion,[],[f31]) ).
cnf(s6,plain,
( ~ spl0_1
| ~ spl0_2
| spl0_3 ),
inference(sat_conversion,[],[f32]) ).
cnf(s7,plain,
( spl0_1
| ~ spl0_2
| ~ spl0_3 ),
inference(sat_conversion,[],[f33]) ).
cnf(s8,plain,
( ~ spl0_1
| spl0_2
| ~ spl0_3 ),
inference(sat_conversion,[],[f34]) ).
cnf(s9,plain,
( spl0_2
| spl0_1 ),
inference(rat,[],[s3,s5]) ).
cnf(s10,plain,
( ~ spl0_2
| spl0_1 ),
inference(rat,[],[s7,s4]) ).
cnf(s11,plain,
spl0_1,
inference(rat,[],[s10,s9]) ).
cnf(s12,plain,
spl0_2,
inference(rat,[],[s1,s8,s11]) ).
cnf(s13,plain,
spl0_3,
inference(rat,[],[s6,s11,s12]) ).
cnf(s14,plain,
$false,
inference(rat,[],[s2,s11,s12,s13]) ).
tff(f35,plain,
$false,
inference(avatar_sat_refutation,[],[s14]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SYO079^5 : TPTP v9.3.1. Released v4.0.0.
% 0.00/0.06 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.08/0.18 % Computer : n015.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 16:36:18 UTC 2026
% 0.08/0.19 % CPUTime :
% 0.08/0.19 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.08/0.21 Running first-order model finding
% 0.08/0.22 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
% 0.08/0.26 % (3750390)Will run a generic schedule for satisfiability detection.
% 0.08/0.26 % (3750403)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=1965484684:i=116_2999 on theBenchmark for (2999ds/116Mi)
% 0.08/0.26 % (3750403) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-3750390-3750403"...
% 0.08/0.26 % (3750403)...printing done.
% 0.08/0.26 % (3750400)% WARNING: option uhcvi not known.
% 0.08/0.26 % (3750403)Refutation found. Thanks to Tanya!
% 0.08/0.26 % SZS status Theorem for theBenchmark
% 0.08/0.26 % SZS output start Proof for theBenchmark
% See solution above
% 0.08/0.26 % (3750403)------------------------------
% 0.08/0.26 % (3750403)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.08/0.26 % (3750403)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.08/0.26 % (3750403)CaDiCaL version: 2.1.3
% 0.08/0.26 % (3750403)Termination reason: Refutation
% 0.08/0.26 % (3750403)Time elapsed: 0.001 s
% 0.08/0.26 % (3750403)Peak memory usage: 12 MB
% 0.08/0.26 % (3750403)Instructions burned: 1 (million)
% 0.08/0.26 % (3750390)Success in time 0.037 s
% 0.08/0.26 % Vampire exiting
%------------------------------------------------------------------------------