%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : SYO299_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 : n003.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 02:30:37 PM UTC 2026
% Result : Theorem 0.07s 0.25s
% Output : Refutation 0.07s
% Verified :
% SZS Type : Refutation
% Derivation depth : 14
% Number of leaves : 4
% Syntax : Number of formulae : 32 ( 6 unt; 0 typ; 3 def)
% Number of atoms : 117 ( 44 equ)
% Maximal formula atoms : 8 ( 3 avg)
% Number of connectives : 97 ( 35 ~; 29 |; 10 &)
% ( 18 <=>; 4 =>; 0 <=; 1 <~>)
% Maximal formula depth : 10 ( 4 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of FOOLs : 106 ( 41 fml; 65 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 : 38 ( 0 sgn 25 !; 13 ?; 38 :)
% Comments :
%------------------------------------------------------------------------------
tff(func_def_2,type,
sK0: $o ).
tff(func_def_3,type,
sK1: $o ).
tff(func_def_4,type,
sK2: $o ).
tff(f1,conjecture,
! [X0: $o,X1: $o,X2: $o] :
? [X3: $o] :
( ( ( (X0)
<=> (X1) )
<=> (X2) )
=> ( (X0)
<=> ( (X1)
<=> (X3) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cTHM51) ).
tff(f2,negated_conjecture,
~ ! [X0: $o,X1: $o,X2: $o] :
? [X3: $o] :
( ( ( (X0)
<=> (X1) )
<=> (X2) )
=> ( (X0)
<=> ( (X1)
<=> (X3) ) ) ),
inference(negated_conjecture,[status(cth)],[f1]) ).
tff(f3,plain,
~ ! [X0: $o,X1: $o,X2: $o] :
? [X3: $o] :
( ( ( (X0)
<=> (X1) )
<=> (X2) )
=> ( (X0)
<=> ( (X1)
<=> (X3) ) ) ),
inference(rectify,[],[f2]) ).
tff(f4,plain,
~ ! [X0: $o,X1: $o,X2: $o] :
? [X3: $o] :
( ( ( (X0) = (X1) )
<=> ( $true = (X2) ) )
=> ( ( $true = (X0) )
<=> ( (X1) = (X3) ) ) ),
inference(fool_elimination,[],[f3]) ).
tff(f5,plain,
? [X0: $o,X1: $o,X2: $o] :
! [X3: $o] :
( ( ( $true = (X0) )
<~> ( (X1) = (X3) ) )
& ( ( (X0) = (X1) )
<=> ( $true = (X2) ) ) ),
inference(ennf_transformation,[],[f4]) ).
tff(f6,plain,
? [X0: $o,X1: $o,X2: $o] :
! [X3: $o] :
( ( ( (X1) != (X3) )
| ( $true != (X0) ) )
& ( ( (X1) = (X3) )
| ( $true = (X0) ) )
& ( ( (X0) = (X1) )
| ( $true != (X2) ) )
& ( ( $true = (X2) )
| ( (X0) != (X1) ) ) ),
inference(nnf_transformation,[],[f5]) ).
tff(f7,plain,
? [X0: $o,X1: $o,X2: $o] :
! [X3: $o] :
( ( ( (X1) != (X3) )
| ( $true != (X0) ) )
& ( ( (X1) = (X3) )
| ( $true = (X0) ) )
& ( ( (X0) = (X1) )
| ( $true != (X2) ) )
& ( ( $true = (X2) )
| ( (X0) != (X1) ) ) ),
inference(flattening,[],[f6]) ).
tff(f8,plain,
! [X3: $o] :
( ( ( sK1 != (X3) )
| ( $true != sK0 ) )
& ( ( sK1 = (X3) )
| ( $true = sK0 ) )
& ( ( sK0 = sK1 )
| ( $true != sK2 ) )
& ( ( $true = sK2 )
| ( sK0 != sK1 ) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK0,sK1,sK2]),skolemize(X0,sK0),skolemize(X1,sK1),skolemize(X2,sK2)],[f7]) ).
tff(f11,plain,
! [X3: $o] :
( ( sK1 = (X3) )
| ( $true = sK0 ) ),
inference(cnf_transformation,[],[f8]) ).
tff(f12,plain,
! [X3: $o] :
( ( sK1 != (X3) )
| ( $true != sK0 ) ),
inference(cnf_transformation,[],[f8]) ).
tff(f26,definition,
( spl3_3
<=> ( $true = sK0 ) ),
introduced(definition,[new_symbols(definition,[spl3_3])],[avatar_definition]) ).
tff(f27,plain,
( ( $true != sK0 )
| spl3_3 ),
inference(avatar_component_clause,[],[f26]) ).
tff(f30,definition,
( spl3_4
<=> ! [X3: $o] : ( sK1 = (X3) ) ),
introduced(definition,[new_symbols(definition,[spl3_4])],[avatar_definition]) ).
tff(f31,plain,
( ! [X3: $o] : ( sK1 = (X3) )
| ~ spl3_4 ),
inference(avatar_component_clause,[],[f30]) ).
tff(f32,plain,
( spl3_3
| spl3_4 ),
inference(avatar_split_clause,[],[f11,f30,f26]) ).
tff(f34,definition,
( spl3_5
<=> ! [X3: $o] : ( sK1 != (X3) ) ),
introduced(definition,[new_symbols(definition,[spl3_5])],[avatar_definition]) ).
tff(f35,plain,
( ! [X3: $o] : ( sK1 != (X3) )
| ~ spl3_5 ),
inference(avatar_component_clause,[],[f34]) ).
tff(f36,plain,
( ~ spl3_3
| spl3_5 ),
inference(avatar_split_clause,[],[f12,f34,f26]) ).
tff(f37,plain,
( ! [X0: $o,X1: $o] : ( (X0) = (X1) )
| ~ spl3_4 ),
inference(superposition,[],[f31,f31]) ).
tff(f43,plain,
( ! [X0: $o] : ( $true != (X0) )
| spl3_3
| ~ spl3_4 ),
inference(superposition,[],[f27,f37]) ).
tff(f48,plain,
( $false
| spl3_3
| ~ spl3_4 ),
inference(forward_subsumption_resolution,[],[f43,f37]) ).
tff(f49,plain,
( spl3_3
| ~ spl3_4 ),
inference(avatar_contradiction_clause,[],[f48]) ).
tff(f57,plain,
( $false
| ~ spl3_5 ),
inference(equality_resolution,[],[f35]) ).
tff(f58,plain,
~ spl3_5,
inference(avatar_contradiction_clause,[],[f57]) ).
cnf(s3,plain,
( spl3_3
| spl3_4 ),
inference(sat_conversion,[],[f32]) ).
cnf(s4,plain,
( ~ spl3_3
| spl3_5 ),
inference(sat_conversion,[],[f36]) ).
cnf(s7,plain,
( spl3_3
| ~ spl3_4 ),
inference(sat_conversion,[],[f49]) ).
cnf(s10,plain,
~ spl3_5,
inference(sat_conversion,[],[f58]) ).
cnf(s11,plain,
~ spl3_3,
inference(rat,[],[s4,s10]) ).
cnf(s12,plain,
~ spl3_4,
inference(rat,[],[s7,s11]) ).
cnf(s13,plain,
$false,
inference(rat,[],[s3,s12,s11]) ).
tff(f59,plain,
$false,
inference(avatar_sat_refutation,[],[s13]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SYO299_8 : TPTP v9.3.1. Released v8.0.0.
% 0.00/0.06 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.07/0.18 % Computer : n003.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
% 0.07/0.18 % CPULimit : 300
% 0.07/0.18 % WCLimit : 300
% 0.07/0.18 % DateTime : Mon Sep 28 17:36:12 UTC 2026
% 0.07/0.19 % CPUTime :
% 0.07/0.19 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.07/0.21 Running first-order model finding
% 0.07/0.21 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
% 0.07/0.25 % (1786211)Will run a generic schedule for satisfiability detection.
% 0.07/0.25 % (1786229)ott+1_1_to=lpo:sil=16000:sp=reverse_arity:erd=off:random_seed=1722348795:i=131_2999 on theBenchmark for (2999ds/131Mi)
% 0.07/0.25 % (1786229) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-1786211-1786229"...
% 0.07/0.25 % (1786229)...printing done.
% 0.07/0.25 % (1786229)Refutation found. Thanks to Tanya!
% 0.07/0.25 % SZS status Theorem for theBenchmark
% 0.07/0.25 % SZS output start Proof for theBenchmark
% See solution above
% 0.07/0.25 % (1786229)------------------------------
% 0.07/0.25 % (1786229)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.07/0.25 % (1786229)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.07/0.25 % (1786229)CaDiCaL version: 2.1.3
% 0.07/0.25 % (1786229)Termination reason: Refutation
% 0.07/0.25 % (1786229)Time elapsed: 0.001 s
% 0.07/0.25 % (1786229)Peak memory usage: 12 MB
% 0.07/0.25 % (1786229)Instructions burned: 1 (million)
% 0.07/0.25 % (1786211)Success in time 0.033 s
% 0.07/0.25 % Vampire exiting
%------------------------------------------------------------------------------