%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : SYO499_8 : TPTP v9.3.1. Released v8.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% Computer : n006.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 02:31:19 PM UTC 2026
% Result : Theorem 0.07s 0.24s
% Output : Refutation 0.07s
% Verified :
% SZS Type : Refutation
% Derivation depth : 12
% Number of leaves : 10
% Syntax : Number of formulae : 59 ( 6 unt; 0 typ; 9 def)
% Number of atoms : 248 ( 42 equ)
% Maximal formula atoms : 6 ( 4 avg)
% Number of connectives : 178 ( 73 ~; 91 |; 5 &)
% ( 9 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 8 ( 3 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of FOOLs : 84 ( 84 fml; 0 var)
% Number of types : 2 ( 0 usr)
% Number of type conns : 0 ( 0 >; 0 *; 0 +; 0 <<)
% Number of predicates : 15 ( 12 usr; 14 prp; 0-2 aty)
% Number of functors : 6 ( 6 usr; 0 con; 1-1 aty)
% Number of variables : 0 ( 0 sgn 0 !; 0 ?; 0 :)
% Comments :
%------------------------------------------------------------------------------
tff(func_def_0,type,
f: $o > $i ).
tff(func_def_1,type,
f1: $o > $i ).
tff(func_def_2,type,
f2: $o > $i ).
tff(func_def_3,type,
g: $o > $i ).
tff(func_def_4,type,
g1: $o > $i ).
tff(func_def_5,type,
g2: $o > $i ).
tff(f1,conjecture,
( ( f(a) = g(b) )
| ( f(b) != g(a) )
| ( f1(a) = g1(c) )
| ( f1(c) != g1(a) )
| ( f2(b) = g2(c) )
| ( f2(c) != g2(b) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',con) ).
tff(f2,negated_conjecture,
~ ( ( f(a) = g(b) )
| ( f(b) != g(a) )
| ( f1(a) = g1(c) )
| ( f1(c) != g1(a) )
| ( f2(b) = g2(c) )
| ( f2(c) != g2(b) ) ),
inference(negated_conjecture,[status(cth)],[f1]) ).
tff(f3,plain,
~ ( ( f(a) = g(b) )
| ( f(b) != g(a) )
| ( f1(a) = g1(c) )
| ( f1(c) != g1(a) )
| ( f2(b) = g2(c) )
| ( f2(c) != g2(b) ) ),
inference(rectify,[],[f2]) ).
tff(f4,plain,
( ( f(a) != g(b) )
& ( f(b) = g(a) )
& ( f1(a) != g1(c) )
& ( f1(c) = g1(a) )
& ( f2(b) != g2(c) )
& ( f2(c) = g2(b) ) ),
inference(ennf_transformation,[],[f3]) ).
tff(f6,plain,
( b
| a
| ( g($false) != f($false) ) ),
inference(cnf_transformation,[],[f4]) ).
tff(f7,plain,
( ~ b
| ~ a
| ( g($true) != f($true) ) ),
inference(cnf_transformation,[],[f4]) ).
tff(f10,plain,
( a
| b
| ( g($false) = f($false) ) ),
inference(cnf_transformation,[],[f4]) ).
tff(f11,plain,
( ~ a
| ~ b
| ( g($true) = f($true) ) ),
inference(cnf_transformation,[],[f4]) ).
tff(f14,plain,
( c
| a
| ( g1($false) != f1($false) ) ),
inference(cnf_transformation,[],[f4]) ).
tff(f15,plain,
( ~ c
| ~ a
| ( g1($true) != f1($true) ) ),
inference(cnf_transformation,[],[f4]) ).
tff(f18,plain,
( a
| c
| ( g1($false) = f1($false) ) ),
inference(cnf_transformation,[],[f4]) ).
tff(f19,plain,
( ~ a
| ~ c
| ( g1($true) = f1($true) ) ),
inference(cnf_transformation,[],[f4]) ).
tff(f22,plain,
( c
| b
| ( g2($false) != f2($false) ) ),
inference(cnf_transformation,[],[f4]) ).
tff(f23,plain,
( ~ c
| ~ b
| ( g2($true) != f2($true) ) ),
inference(cnf_transformation,[],[f4]) ).
tff(f26,plain,
( b
| c
| ( g2($false) = f2($false) ) ),
inference(cnf_transformation,[],[f4]) ).
tff(f27,plain,
( ~ b
| ~ c
| ( g2($true) = f2($true) ) ),
inference(cnf_transformation,[],[f4]) ).
tff(f36,definition,
( spl0_2
<=> a ),
introduced(definition,[new_symbols(definition,[spl0_2])],[avatar_definition]) ).
tff(f40,definition,
( spl0_3
<=> b ),
introduced(definition,[new_symbols(definition,[spl0_3])],[avatar_definition]) ).
tff(f45,definition,
( spl0_4
<=> ( g($false) = f($false) ) ),
introduced(definition,[new_symbols(definition,[spl0_4])],[avatar_definition]) ).
tff(f48,plain,
( ~ spl0_4
| spl0_2
| spl0_3 ),
inference(avatar_split_clause,[],[f6,f40,f36,f45]) ).
tff(f50,definition,
( spl0_5
<=> ( g($true) = f($true) ) ),
introduced(definition,[new_symbols(definition,[spl0_5])],[avatar_definition]) ).
tff(f53,plain,
( ~ spl0_5
| ~ spl0_2
| ~ spl0_3 ),
inference(avatar_split_clause,[],[f7,f40,f36,f50]) ).
tff(f60,plain,
( spl0_4
| spl0_3
| spl0_2 ),
inference(avatar_split_clause,[],[f10,f36,f40,f45]) ).
tff(f61,plain,
( spl0_5
| ~ spl0_3
| ~ spl0_2 ),
inference(avatar_split_clause,[],[f11,f36,f40,f50]) ).
tff(f68,definition,
( spl0_8
<=> c ),
introduced(definition,[new_symbols(definition,[spl0_8])],[avatar_definition]) ).
tff(f73,definition,
( spl0_9
<=> ( g1($false) = f1($false) ) ),
introduced(definition,[new_symbols(definition,[spl0_9])],[avatar_definition]) ).
tff(f76,plain,
( ~ spl0_9
| spl0_2
| spl0_8 ),
inference(avatar_split_clause,[],[f14,f68,f36,f73]) ).
tff(f78,definition,
( spl0_10
<=> ( g1($true) = f1($true) ) ),
introduced(definition,[new_symbols(definition,[spl0_10])],[avatar_definition]) ).
tff(f81,plain,
( ~ spl0_10
| ~ spl0_2
| ~ spl0_8 ),
inference(avatar_split_clause,[],[f15,f68,f36,f78]) ).
tff(f88,plain,
( spl0_9
| spl0_8
| spl0_2 ),
inference(avatar_split_clause,[],[f18,f36,f68,f73]) ).
tff(f89,plain,
( spl0_10
| ~ spl0_8
| ~ spl0_2 ),
inference(avatar_split_clause,[],[f19,f36,f68,f78]) ).
tff(f97,definition,
( spl0_13
<=> ( g2($false) = f2($false) ) ),
introduced(definition,[new_symbols(definition,[spl0_13])],[avatar_definition]) ).
tff(f100,plain,
( ~ spl0_13
| spl0_3
| spl0_8 ),
inference(avatar_split_clause,[],[f22,f68,f40,f97]) ).
tff(f102,definition,
( spl0_14
<=> ( g2($true) = f2($true) ) ),
introduced(definition,[new_symbols(definition,[spl0_14])],[avatar_definition]) ).
tff(f105,plain,
( ~ spl0_14
| ~ spl0_3
| ~ spl0_8 ),
inference(avatar_split_clause,[],[f23,f68,f40,f102]) ).
tff(f112,plain,
( spl0_13
| spl0_8
| spl0_3 ),
inference(avatar_split_clause,[],[f26,f40,f68,f97]) ).
tff(f113,plain,
( spl0_14
| ~ spl0_8
| ~ spl0_3 ),
inference(avatar_split_clause,[],[f27,f40,f68,f102]) ).
cnf(s2,plain,
( spl0_2
| spl0_3
| ~ spl0_4 ),
inference(sat_conversion,[],[f48]) ).
cnf(s3,plain,
( ~ spl0_2
| ~ spl0_3
| ~ spl0_5 ),
inference(sat_conversion,[],[f53]) ).
cnf(s6,plain,
( spl0_2
| spl0_3
| spl0_4 ),
inference(sat_conversion,[],[f60]) ).
cnf(s7,plain,
( ~ spl0_2
| ~ spl0_3
| spl0_5 ),
inference(sat_conversion,[],[f61]) ).
cnf(s10,plain,
( spl0_2
| spl0_8
| ~ spl0_9 ),
inference(sat_conversion,[],[f76]) ).
cnf(s11,plain,
( ~ spl0_2
| ~ spl0_8
| ~ spl0_10 ),
inference(sat_conversion,[],[f81]) ).
cnf(s14,plain,
( spl0_2
| spl0_8
| spl0_9 ),
inference(sat_conversion,[],[f88]) ).
cnf(s15,plain,
( ~ spl0_2
| ~ spl0_8
| spl0_10 ),
inference(sat_conversion,[],[f89]) ).
cnf(s18,plain,
( spl0_3
| spl0_8
| ~ spl0_13 ),
inference(sat_conversion,[],[f100]) ).
cnf(s19,plain,
( ~ spl0_3
| ~ spl0_8
| ~ spl0_14 ),
inference(sat_conversion,[],[f105]) ).
cnf(s22,plain,
( spl0_3
| spl0_8
| spl0_13 ),
inference(sat_conversion,[],[f112]) ).
cnf(s23,plain,
( ~ spl0_3
| ~ spl0_8
| spl0_14 ),
inference(sat_conversion,[],[f113]) ).
cnf(s25,plain,
( spl0_2
| spl0_3 ),
inference(rat,[],[s2,s6]) ).
cnf(s27,plain,
( spl0_8
| spl0_3 ),
inference(rat,[],[s18,s22]) ).
cnf(s28,plain,
( ~ spl0_8
| ~ spl0_2 ),
inference(rat,[],[s11,s15]) ).
cnf(s29,plain,
( ~ spl0_3
| ~ spl0_2 ),
inference(rat,[],[s3,s7]) ).
cnf(s30,plain,
~ spl0_2,
inference(rat,[],[s29,s27,s28]) ).
cnf(s32,plain,
spl0_3,
inference(rat,[],[s25,s30]) ).
cnf(s34,plain,
spl0_8,
inference(rat,[],[s10,s14,s30]) ).
cnf(s37,plain,
spl0_14,
inference(rat,[],[s23,s32,s34]) ).
cnf(s38,plain,
$false,
inference(rat,[],[s19,s32,s34,s37]) ).
tff(f115,plain,
$false,
inference(avatar_sat_refutation,[],[s38]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : SYO499_8 : TPTP v9.3.1. Released v8.0.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.07/0.18 % Computer : n006.cluster.edu
% 0.07/0.18 % Model : x86_64 x86_64
% 0.07/0.18 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.07/0.18 % Memory : 8046.5625MB
% 0.07/0.18 % OS : Linux 6.8.0-71-generic
% 0.07/0.19 % CPULimit : 300
% 0.07/0.19 % WCLimit : 300
% 0.07/0.19 % DateTime : Mon Sep 28 17:45:55 UTC 2026
% 0.07/0.19 % CPUTime :
% 0.07/0.19 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.07/0.22 Running first-order model finding
% 0.07/0.22 Running: /export/starexec/sandbox2/solver/bin/vampire-ho --input_syntax tptp --output_axiom_names on --mode casc --intent sat -m 16384 --cores 7 -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.07/0.24 % (4190661)Will run a generic schedule for satisfiability detection.
% 0.07/0.24 % (4190675)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=2892083832:i=116_3000 on theBenchmark for (3000ds/116Mi)
% 0.07/0.24 % (4190675) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-4190661-4190675"...
% 0.07/0.24 % (4190675)...printing done.
% 0.07/0.24 % (4190675)Refutation found. Thanks to Tanya!
% 0.07/0.24 % SZS status Theorem for theBenchmark
% 0.07/0.24 % SZS output start Proof for theBenchmark
% See solution above
% 0.07/0.24 % (4190675)------------------------------
% 0.07/0.24 % (4190675)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.07/0.24 % (4190675)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.07/0.24 % (4190675)CaDiCaL version: 2.1.3
% 0.07/0.24 % (4190675)Termination reason: Refutation
% 0.07/0.24 % (4190675)Time elapsed: 0.001 s
% 0.07/0.24 % (4190675)Peak memory usage: 12 MB
% 0.07/0.24 % (4190675)Instructions burned: 2 (million)
% 0.07/0.24 % (4190661)Success in time 0.016 s
% 0.07/0.24 % Vampire exiting
%------------------------------------------------------------------------------