%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : SYO124^5 : 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 : n017.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 08:49:00 AM UTC 2026
% Result : Theorem 0.09s 0.24s
% Output : Refutation 0.09s
% Verified :
% SZS Type : Refutation
% Derivation depth : 9
% Number of leaves : 1
% Syntax : Number of formulae : 13 ( 4 unt; 0 typ; 0 def)
% Number of atoms : 100 ( 27 equ)
% Maximal formula atoms : 6 ( 7 avg)
% Number of connectives : 48 ( 15 ~; 15 |; 14 &)
% ( 0 <=>; 4 =>; 0 <=; 0 <~>)
% Maximal formula depth : 6 ( 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 : 6 ( 3 usr; 5 prp; 0-2 aty)
% Number of functors : 0 ( 0 usr; 0 con; --- aty)
% Number of variables : 0 ( 0 !; 0 ?; 0 :)
% Comments :
%------------------------------------------------------------------------------
tff(func_def_0,type,
cQ: $o ).
tff(func_def_1,type,
cR: $o ).
tff(func_def_2,type,
cP: $o ).
tff(f1,conjecture,
( ( ( cQ
| cR )
& cP )
=> ( cQ
| ( cR
& cP ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cDISJ_BUG) ).
tff(f2,negated_conjecture,
~ ( ( ( cQ
| cR )
& cP )
=> ( cQ
| ( cR
& cP ) ) ),
inference(negated_conjecture,[status(cth)],[f1]) ).
tff(f3,plain,
~ ( ( ( cQ
| cR )
& cP )
=> ( cQ
| ( cR
& cP ) ) ),
inference(rectify,[],[f2]) ).
tff(f4,plain,
~ ( ( ( ( cQ = $true )
| ( cR = $true ) )
& ( cP = $true ) )
=> ( ( cQ = $true )
| ( ( cR = $true )
& ( cP = $true ) ) ) ),
inference(fool_elimination,[],[f3]) ).
tff(f5,plain,
( ( cQ != $true )
& ( ( cR != $true )
| ( cP != $true ) )
& ( ( cQ = $true )
| ( cR = $true ) )
& ( cP = $true ) ),
inference(ennf_transformation,[],[f4]) ).
tff(f6,plain,
( ( cQ != $true )
& ( ( cR != $true )
| ( cP != $true ) )
& ( ( cQ = $true )
| ( cR = $true ) )
& ( cP = $true ) ),
inference(flattening,[],[f5]) ).
tff(f7,plain,
cP = $true,
inference(cnf_transformation,[],[f6]) ).
tff(f8,plain,
( ( cQ = $true )
| ( cR = $true ) ),
inference(cnf_transformation,[],[f6]) ).
tff(f9,plain,
( ( cR != $true )
| ( cP != $true ) ),
inference(cnf_transformation,[],[f6]) ).
tff(f10,plain,
cQ != $true,
inference(cnf_transformation,[],[f6]) ).
tff(f13,plain,
( ( cR != $true )
| ( $true != $true ) ),
inference(definition_unfolding,[],[f9,f7]) ).
tff(f14,plain,
cR != $true,
inference(trivial_inequality_removal,[],[f13]) ).
tff(f15,plain,
$false,
inference(global_subsumption,[],[f10,f14,f8]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SYO124^5 : TPTP v9.3.1. Released v4.0.0.
% 0.00/0.06 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.09/0.17 % Computer : n017.cluster.edu
% 0.09/0.17 % Model : x86_64 x86_64
% 0.09/0.17 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.17 % Memory : 8046.5625MB
% 0.09/0.17 % OS : Linux 6.8.0-71-generic
% 0.09/0.17 % CPULimit : 300
% 0.09/0.17 % WCLimit : 300
% 0.09/0.17 % DateTime : Tue Sep 29 16:29:52 UTC 2026
% 0.09/0.17 % CPUTime :
% 0.09/0.17 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.09/0.20 Running first-order model finding
% 0.09/0.20 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 % (553921)Will run a generic schedule for satisfiability detection.
% 0.09/0.24 % (553928)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=1146921834:i=88024:add=on:rawr=on_2999 on theBenchmark for (2999ds/88024Mi)
% 0.09/0.24 % (553928) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-553921-553928"...
% 0.09/0.24 % (553928)...printing done.
% 0.09/0.24 % (553928)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 % (553928)------------------------------
% 0.09/0.24 % (553928)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.09/0.24 % (553928)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.09/0.24 % (553928)CaDiCaL version: 2.1.3
% 0.09/0.24 % (553928)Termination reason: Refutation
% 0.09/0.24 % (553928)Time elapsed: 0.001 s
% 0.09/0.24 % (553928)Peak memory usage: 11 MB
% 0.09/0.24 % (553921)Success in time 0.027 s
% 0.09/0.24 % Vampire exiting
%------------------------------------------------------------------------------