%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : SYO086^5 : 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 : n002.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 08:46:35 AM UTC 2026
% Result : Theorem 0.21s 0.28s
% Output : Refutation 0.21s
% Verified :
% SZS Type : Refutation
% Derivation depth : 12
% Number of leaves : 3
% Syntax : Number of formulae : 22 ( 9 unt; 0 typ; 2 def)
% Number of atoms : 189 ( 49 equ)
% Maximal formula atoms : 10 ( 8 avg)
% Number of connectives : 118 ( 49 ~; 18 |; 39 &)
% ( 2 <=>; 10 =>; 0 <=; 0 <~>)
% Maximal formula depth : 7 ( 4 avg)
% Maximal term depth : 0 ( 0 avg)
% Number of FOOLs : 98 ( 98 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,
cR: $o ).
tff(func_def_1,type,
cQ: $o ).
tff(func_def_2,type,
cP: $o ).
tff(f1,conjecture,
( ( ( ( cR
& ~ cQ )
| ( ~ cR
& cQ ) )
& ~ cP )
=> ( ( ( ~ cQ
& ~ cP )
| ( cQ
& cP ) )
=> cR ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cTHM50_11) ).
tff(f2,negated_conjecture,
~ ( ( ( ( cR
& ~ cQ )
| ( ~ cR
& cQ ) )
& ~ cP )
=> ( ( ( ~ cQ
& ~ cP )
| ( cQ
& cP ) )
=> cR ) ),
inference(negated_conjecture,[status(cth)],[f1]) ).
tff(f3,plain,
~ ( ( ( ( cR
& ~ cQ )
| ( ~ cR
& cQ ) )
& ~ cP )
=> ( ( ( ~ cQ
& ~ cP )
| ( cQ
& cP ) )
=> cR ) ),
inference(rectify,[],[f2]) ).
tff(f4,plain,
~ ( ( ( ( ( cR = $true )
& ( cQ != $true ) )
| ( ( cR != $true )
& ( cQ = $true ) ) )
& ( cP != $true ) )
=> ( ( ( ( cQ != $true )
& ( cP != $true ) )
| ( ( cQ = $true )
& ( cP = $true ) ) )
=> ( cR = $true ) ) ),
inference(fool_elimination,[],[f3]) ).
tff(f5,plain,
~ ( ( ( ( ( cR = $true )
& ( cQ != $true ) )
| ( ( cR != $true )
& ( cQ = $true ) ) )
& ( cP != $true ) )
=> ( ( ( ( cQ != $true )
& ( cP != $true ) )
| ( ( cQ = $true )
& ( cP = $true ) ) )
=> ( cR = $true ) ) ),
inference(flattening,[],[f4]) ).
tff(f6,plain,
( ( cR != $true )
& ( ( ( cQ != $true )
& ( cP != $true ) )
| ( ( cQ = $true )
& ( cP = $true ) ) )
& ( ( ( cR = $true )
& ( cQ != $true ) )
| ( ( cR != $true )
& ( cQ = $true ) ) )
& ( cP != $true ) ),
inference(ennf_transformation,[],[f5]) ).
tff(f7,plain,
( ( cR != $true )
& ( ( ( cQ != $true )
& ( cP != $true ) )
| ( ( cQ = $true )
& ( cP = $true ) ) )
& ( ( ( cR = $true )
& ( cQ != $true ) )
| ( ( cR != $true )
& ( cQ = $true ) ) )
& ( cP != $true ) ),
inference(flattening,[],[f6]) ).
tff(f8,plain,
cP != $true,
inference(cnf_transformation,[],[f7]) ).
tff(f11,plain,
( ( cR = $true )
| ( cQ = $true ) ),
inference(cnf_transformation,[],[f7]) ).
tff(f15,plain,
( ( cQ != $true )
| ( cP = $true ) ),
inference(cnf_transformation,[],[f7]) ).
tff(f17,plain,
cR != $true,
inference(cnf_transformation,[],[f7]) ).
tff(f21,definition,
( spl0_1
<=> ( cR = $true ) ),
introduced(definition,[new_symbols(definition,[spl0_1])],[avatar_definition]) ).
tff(f25,definition,
( spl0_2
<=> ( cQ = $true ) ),
introduced(definition,[new_symbols(definition,[spl0_2])],[avatar_definition]) ).
tff(f29,plain,
( spl0_2
| spl0_1 ),
inference(avatar_split_clause,[],[f11,f21,f25]) ).
tff(f30,plain,
cQ != $true,
inference(forward_subsumption_resolution,[],[f15,f8]) ).
tff(f31,plain,
~ spl0_1,
inference(avatar_split_clause,[],[f17,f21]) ).
tff(f32,plain,
~ spl0_2,
inference(avatar_split_clause,[],[f30,f25]) ).
cnf(s2,plain,
( spl0_1
| spl0_2 ),
inference(sat_conversion,[],[f29]) ).
cnf(s3,plain,
~ spl0_1,
inference(sat_conversion,[],[f31]) ).
cnf(s4,plain,
~ spl0_2,
inference(sat_conversion,[],[f32]) ).
cnf(s5,plain,
$false,
inference(rat,[],[s2,s4,s3]) ).
tff(f33,plain,
$false,
inference(avatar_sat_refutation,[],[s5]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SYO086^5 : TPTP v9.3.1. Released v4.0.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.09/0.19 % Computer : n002.cluster.edu
% 0.09/0.19 % Model : x86_64 x86_64
% 0.09/0.19 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.19 % Memory : 8046.5625MB
% 0.09/0.19 % OS : Linux 6.8.0-71-generic
% 0.09/0.19 % CPULimit : 300
% 0.09/0.19 % WCLimit : 300
% 0.09/0.19 % DateTime : Tue Sep 29 16:36:08 UTC 2026
% 0.09/0.19 % CPUTime :
% 0.09/0.19 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.09/0.22 Running higher-order theorem proving
% 0.09/0.23 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
% 0.21/0.28 % (1507364)Detected formulas, will run a generic FOF schedule.
% 0.21/0.28 % (1507372)lrs+1011_32_sil=2000:tgt=full:alpa=true:random_seed=111537867:st=5:i=107:sd=1:ss=included:er=filter_2999 on theBenchmark for (2999ds/107Mi)
% 0.21/0.28 % (1507372) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-1507364-1507372"...
% 0.21/0.28 % (1507372)...printing done.
% 0.21/0.28 % (1507372)Refutation found. Thanks to Tanya!
% 0.21/0.28 % SZS status Theorem for theBenchmark
% 0.21/0.28 % SZS output start Proof for theBenchmark
% See solution above
% 0.21/0.28 % (1507372)------------------------------
% 0.21/0.28 % (1507372)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.21/0.28 % (1507372)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.21/0.28 % (1507372)CaDiCaL version: 2.1.3
% 0.21/0.28 % (1507372)Termination reason: Refutation
% 0.21/0.28 % (1507372)Time elapsed: 0.001 s
% 0.21/0.28 % (1507372)Peak memory usage: 12 MB
% 0.21/0.28 % (1507372)Instructions burned: 1 (million)
% 0.21/0.28 % (1507364)Success in time 0.036 s
% 0.21/0.28 % Vampire exiting
%------------------------------------------------------------------------------