%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : SYO500_8 : TPTP v9.3.1. Released v8.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox/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 : Tue Sep 29 02:31:21 PM UTC 2026
% Result : Theorem 0.09s 0.25s
% Output : Refutation 0.09s
% Verified :
% SZS Type : Refutation
% Derivation depth : 14
% Number of leaves : 5
% Syntax : Number of formulae : 47 ( 7 unt; 0 typ; 4 def)
% Number of atoms : 166 ( 2 equ)
% Maximal formula atoms : 4 ( 3 avg)
% Number of connectives : 140 ( 57 ~; 77 |; 0 &)
% ( 5 <=>; 0 =>; 0 <=; 1 <~>)
% Maximal formula depth : 5 ( 3 avg)
% Maximal term depth : 0 ( 0 avg)
% Number of FOOLs : 36 ( 36 fml; 0 var)
% Number of types : 1 ( 0 usr)
% Number of type conns : 0 ( 0 >; 0 *; 0 +; 0 <<)
% Number of predicates : 10 ( 7 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(pred_def_1,type,
f: $o > $o ).
tff(f1,conjecture,
f(f(f(x))) = f(x),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',con) ).
tff(f2,negated_conjecture,
f(f(f(x))) != f(x),
inference(negated_conjecture,[status(cth)],[f1]) ).
tff(f3,plain,
~ ( f(f(f(x)))
<=> f(x) ),
inference(flattening,[],[f2]) ).
tff(f4,plain,
( f(f(f(x)))
<~> f(x) ),
inference(ennf_transformation,[],[f3]) ).
tff(f5,plain,
( ~ x
| ~ f($true)
| sP0 ),
inference(cnf_transformation,[],[f4]) ).
tff(f6,plain,
( x
| ~ f($false)
| sP0 ),
inference(cnf_transformation,[],[f4]) ).
tff(f7,plain,
( ~ x
| f($true)
| ~ sP0 ),
inference(cnf_transformation,[],[f4]) ).
tff(f8,plain,
( x
| f($false)
| ~ sP0 ),
inference(cnf_transformation,[],[f4]) ).
tff(f9,plain,
( x
| ~ f($false)
| ~ sP0
| ~ f($true) ),
inference(cnf_transformation,[],[f4]) ).
tff(f11,plain,
( ~ x
| ~ sP0
| ~ f($true) ),
inference(cnf_transformation,[],[f4]) ).
tff(f13,plain,
( x
| ~ sP0
| f($true)
| ~ f($false) ),
inference(cnf_transformation,[],[f4]) ).
tff(f14,plain,
( ~ x
| sP0
| ~ f($false)
| f($true) ),
inference(cnf_transformation,[],[f4]) ).
tff(f16,plain,
( x
| sP0
| f($false) ),
inference(cnf_transformation,[],[f4]) ).
tff(f18,plain,
( ~ x
| f($true)
| sP0
| f($false) ),
inference(cnf_transformation,[],[f4]) ).
tff(f22,definition,
( spl1_1
<=> sP0 ),
introduced(definition,[new_symbols(definition,[spl1_1])],[avatar_definition]) ).
tff(f26,definition,
( spl1_2
<=> f($true) ),
introduced(definition,[new_symbols(definition,[spl1_2])],[avatar_definition]) ).
tff(f30,definition,
( spl1_3
<=> x ),
introduced(definition,[new_symbols(definition,[spl1_3])],[avatar_definition]) ).
tff(f33,plain,
( spl1_1
| ~ spl1_2
| ~ spl1_3 ),
inference(avatar_split_clause,[],[f5,f30,f26,f22]) ).
tff(f35,definition,
( spl1_4
<=> f($false) ),
introduced(definition,[new_symbols(definition,[spl1_4])],[avatar_definition]) ).
tff(f38,plain,
( spl1_1
| ~ spl1_4
| spl1_3 ),
inference(avatar_split_clause,[],[f6,f30,f35,f22]) ).
tff(f39,plain,
( ~ spl1_1
| spl1_2
| ~ spl1_3 ),
inference(avatar_split_clause,[],[f7,f30,f26,f22]) ).
tff(f40,plain,
( ~ spl1_1
| spl1_4
| spl1_3 ),
inference(avatar_split_clause,[],[f8,f30,f35,f22]) ).
tff(f41,plain,
( ~ spl1_2
| ~ spl1_1
| ~ spl1_4
| spl1_3 ),
inference(avatar_split_clause,[],[f9,f30,f35,f22,f26]) ).
tff(f42,plain,
( ~ spl1_2
| ~ spl1_1
| ~ spl1_3 ),
inference(avatar_split_clause,[],[f11,f30,f22,f26]) ).
tff(f43,plain,
( ~ spl1_4
| spl1_2
| ~ spl1_1
| spl1_3 ),
inference(avatar_split_clause,[],[f13,f30,f22,f26,f35]) ).
tff(f44,plain,
( spl1_2
| ~ spl1_4
| spl1_1
| ~ spl1_3 ),
inference(avatar_split_clause,[],[f14,f30,f22,f35,f26]) ).
tff(f45,plain,
( spl1_4
| spl1_1
| spl1_3 ),
inference(avatar_split_clause,[],[f16,f30,f22,f35]) ).
tff(f46,plain,
( spl1_4
| spl1_1
| spl1_2
| ~ spl1_3 ),
inference(avatar_split_clause,[],[f18,f30,f26,f22,f35]) ).
cnf(s1,plain,
( spl1_1
| ~ spl1_2
| ~ spl1_3 ),
inference(sat_conversion,[],[f33]) ).
cnf(s2,plain,
( spl1_1
| spl1_3
| ~ spl1_4 ),
inference(sat_conversion,[],[f38]) ).
cnf(s3,plain,
( ~ spl1_1
| spl1_2
| ~ spl1_3 ),
inference(sat_conversion,[],[f39]) ).
cnf(s4,plain,
( ~ spl1_1
| spl1_3
| spl1_4 ),
inference(sat_conversion,[],[f40]) ).
cnf(s5,plain,
( ~ spl1_1
| ~ spl1_2
| spl1_3
| ~ spl1_4 ),
inference(sat_conversion,[],[f41]) ).
cnf(s6,plain,
( ~ spl1_1
| ~ spl1_2
| ~ spl1_3 ),
inference(sat_conversion,[],[f42]) ).
cnf(s7,plain,
( ~ spl1_1
| spl1_2
| spl1_3
| ~ spl1_4 ),
inference(sat_conversion,[],[f43]) ).
cnf(s8,plain,
( spl1_1
| spl1_2
| ~ spl1_3
| ~ spl1_4 ),
inference(sat_conversion,[],[f44]) ).
cnf(s9,plain,
( spl1_1
| spl1_3
| spl1_4 ),
inference(sat_conversion,[],[f45]) ).
cnf(s10,plain,
( spl1_1
| spl1_2
| ~ spl1_3
| spl1_4 ),
inference(sat_conversion,[],[f46]) ).
cnf(s11,plain,
( spl1_3
| spl1_1 ),
inference(rat,[],[s2,s9]) ).
cnf(s12,plain,
( ~ spl1_3
| spl1_2
| spl1_1 ),
inference(rat,[],[s8,s10]) ).
cnf(s13,plain,
( ~ spl1_3
| spl1_1 ),
inference(rat,[],[s1,s12]) ).
cnf(s14,plain,
spl1_1,
inference(rat,[],[s13,s11]) ).
cnf(s15,plain,
( spl1_3
| ~ spl1_4 ),
inference(rat,[],[s5,s7,s14]) ).
cnf(s16,plain,
spl1_3,
inference(rat,[],[s15,s4,s14]) ).
cnf(s17,plain,
~ spl1_2,
inference(rat,[],[s6,s14,s16]) ).
cnf(s18,plain,
$false,
inference(rat,[],[s3,s14,s16,s17]) ).
tff(f47,plain,
$false,
inference(avatar_sat_refutation,[],[s18]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SYO500_8 : TPTP v9.3.1. Released v8.0.0.
% 0.00/0.06 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.09/0.19 % Computer : n004.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 : Mon Sep 28 17:46:37 UTC 2026
% 0.09/0.19 % CPUTime :
% 0.09/0.19 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.09/0.23 Running first-order model finding
% 0.09/0.23 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
% 0.09/0.25 % (587421)Will run a generic schedule for satisfiability detection.
% 0.09/0.25 % (587430)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=2537957036:i=116_3000 on theBenchmark for (3000ds/116Mi)
% 0.09/0.25 % (587430) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-587421-587430"...
% 0.09/0.25 % (587430)...printing done.
% 0.09/0.25 % (587430)Refutation found. Thanks to Tanya!
% 0.09/0.25 % SZS status Theorem for theBenchmark
% 0.09/0.25 % SZS output start Proof for theBenchmark
% See solution above
% 0.09/0.25 % (587430)------------------------------
% 0.09/0.25 % (587430)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.09/0.25 % (587430)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.09/0.25 % (587430)CaDiCaL version: 2.1.3
% 0.09/0.25 % (587430)Termination reason: Refutation
% 0.09/0.25 % (587430)Time elapsed: 0.001 s
% 0.09/0.25 % (587430)Peak memory usage: 12 MB
% 0.09/0.25 % (587430)Instructions burned: 1 (million)
% 0.09/0.25 % (587421)Success in time 0.015 s
% 0.09/0.25 % Vampire exiting
%------------------------------------------------------------------------------