%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : SYO180_8 : TPTP v9.3.1. Released v8.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% Computer : n026.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 02:25:17 PM UTC 2026
% Result : Theorem 2.98s 1.09s
% Output : Refutation 3.50s
% Verified :
% SZS Type : Refutation
% Derivation depth : 21
% Number of leaves : 12
% Syntax : Number of formulae : 90 ( 16 unt; 0 typ; 11 def)
% Number of atoms : 998 ( 359 equ)
% Maximal formula atoms : 58 ( 11 avg)
% Number of connectives : 894 ( 298 ~; 249 |; 251 &)
% ( 11 <=>; 85 =>; 0 <=; 0 <~>)
% Maximal formula depth : 31 ( 6 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of FOOLs : 892 ( 486 fml; 406 var)
% Number of types : 1 ( 0 usr)
% Number of type conns : 0 ( 0 >; 0 *; 0 +; 0 <<)
% Number of predicates : 25 ( 22 usr; 24 prp; 0-2 aty)
% Number of functors : 0 ( 0 usr; 0 con; --- aty)
% Number of variables : 77 ( 0 sgn 55 !; 22 ?; 77 :)
% Comments :
%------------------------------------------------------------------------------
tff(func_def_2,type,
sK0: $o ).
tff(func_def_3,type,
sK1: $o ).
tff(func_def_4,type,
sK2: $o ).
tff(func_def_5,type,
sK3: $o ).
tff(func_def_6,type,
sK4: $o ).
tff(func_def_7,type,
sK5: $o ).
tff(func_def_8,type,
sK6: $o ).
tff(func_def_9,type,
sK7: $o ).
tff(func_def_10,type,
sK8: $o ).
tff(func_def_11,type,
sK9: $o ).
tff(func_def_12,type,
sK10: $o ).
tff(f1,conjecture,
! [X0: $o,X1: $o,X2: $o,X3: $o,X4: $o,X5: $o,X6: $o,X7: $o,X8: $o,X9: $o,X10: $o] :
( ( ( ( (X0)
& (X1) )
=> (X2) )
& ( ( (X3)
& ~ (X4) )
=> (X2) )
& ( ( ~ (X8)
& (X6)
& (X2) )
=> (X7) )
& ( ( ~ (X3)
& ~ (X1) )
=> (X4) )
& ( ( (X8)
& (X9) )
=> (X10) )
& ( ( (X4)
& ~ (X6)
& ~ (X7) )
=> (X1) )
& ( ( (X0)
& (X2) )
=> (X10) )
& ( ( (X5)
& ~ (X8)
& (X3)
& ~ (X6) )
=> ~ (X2) )
& ( ( ~ (X3)
& ~ (X4) )
=> (X8) )
& ( ( (X8)
& (X0)
& (X5) )
=> ~ (X2) )
& ( ( (X4)
& (X5) )
=> ~ (X10) )
& ( ( (X3)
& ~ (X8)
& ~ (X2) )
=> ~ (X9) )
& ( ( (X6)
& ~ (X1)
& ~ (X7) )
=> (X10) )
& ( ( (X3)
& (X9)
& ~ (X4) )
=> ~ (X10) )
& ( ( (X4)
& ~ (X8)
& ~ (X2) )
=> (X3) ) )
=> ( ( (X5)
& (X0) )
=> ( (X7)
& ~ (X9) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cPORKCHOP2) ).
tff(f2,negated_conjecture,
~ ! [X0: $o,X1: $o,X2: $o,X3: $o,X4: $o,X5: $o,X6: $o,X7: $o,X8: $o,X9: $o,X10: $o] :
( ( ( ( (X0)
& (X1) )
=> (X2) )
& ( ( (X3)
& ~ (X4) )
=> (X2) )
& ( ( ~ (X8)
& (X6)
& (X2) )
=> (X7) )
& ( ( ~ (X3)
& ~ (X1) )
=> (X4) )
& ( ( (X8)
& (X9) )
=> (X10) )
& ( ( (X4)
& ~ (X6)
& ~ (X7) )
=> (X1) )
& ( ( (X0)
& (X2) )
=> (X10) )
& ( ( (X5)
& ~ (X8)
& (X3)
& ~ (X6) )
=> ~ (X2) )
& ( ( ~ (X3)
& ~ (X4) )
=> (X8) )
& ( ( (X8)
& (X0)
& (X5) )
=> ~ (X2) )
& ( ( (X4)
& (X5) )
=> ~ (X10) )
& ( ( (X3)
& ~ (X8)
& ~ (X2) )
=> ~ (X9) )
& ( ( (X6)
& ~ (X1)
& ~ (X7) )
=> (X10) )
& ( ( (X3)
& (X9)
& ~ (X4) )
=> ~ (X10) )
& ( ( (X4)
& ~ (X8)
& ~ (X2) )
=> (X3) ) )
=> ( ( (X5)
& (X0) )
=> ( (X7)
& ~ (X9) ) ) ),
inference(negated_conjecture,[status(cth)],[f1]) ).
tff(f3,plain,
~ ! [X0: $o,X1: $o,X2: $o,X3: $o,X4: $o,X5: $o,X6: $o,X7: $o,X8: $o,X9: $o,X10: $o] :
( ( ( ( (X0)
& (X1) )
=> (X2) )
& ( ( (X3)
& ~ (X4) )
=> (X2) )
& ( ( ~ (X8)
& (X6)
& (X2) )
=> (X7) )
& ( ( ~ (X3)
& ~ (X1) )
=> (X4) )
& ( ( (X8)
& (X9) )
=> (X10) )
& ( ( (X4)
& ~ (X6)
& ~ (X7) )
=> (X1) )
& ( ( (X0)
& (X2) )
=> (X10) )
& ( ( (X5)
& ~ (X8)
& (X3)
& ~ (X6) )
=> ~ (X2) )
& ( ( ~ (X3)
& ~ (X4) )
=> (X8) )
& ( ( (X8)
& (X0)
& (X5) )
=> ~ (X2) )
& ( ( (X4)
& (X5) )
=> ~ (X10) )
& ( ( (X3)
& ~ (X8)
& ~ (X2) )
=> ~ (X9) )
& ( ( (X6)
& ~ (X1)
& ~ (X7) )
=> (X10) )
& ( ( (X3)
& (X9)
& ~ (X4) )
=> ~ (X10) )
& ( ( (X4)
& ~ (X8)
& ~ (X2) )
=> (X3) ) )
=> ( ( (X5)
& (X0) )
=> ( (X7)
& ~ (X9) ) ) ),
inference(rectify,[],[f2]) ).
tff(f4,plain,
~ ! [X0: $o,X1: $o,X2: $o,X3: $o,X4: $o,X5: $o,X6: $o,X7: $o,X8: $o,X9: $o,X10: $o] :
( ( ( ( ( $true = (X0) )
& ( $true = (X1) ) )
=> ( $true = (X2) ) )
& ( ( ( $true = (X3) )
& ( $true != (X4) ) )
=> ( $true = (X2) ) )
& ( ( ( $true != (X8) )
& ( $true = (X6) )
& ( $true = (X2) ) )
=> ( $true = (X7) ) )
& ( ( ( $true != (X3) )
& ( $true != (X1) ) )
=> ( $true = (X4) ) )
& ( ( ( $true = (X8) )
& ( $true = (X9) ) )
=> ( $true = (X10) ) )
& ( ( ( $true = (X4) )
& ( $true != (X6) )
& ( $true != (X7) ) )
=> ( $true = (X1) ) )
& ( ( ( $true = (X0) )
& ( $true = (X2) ) )
=> ( $true = (X10) ) )
& ( ( ( $true = (X5) )
& ( $true != (X8) )
& ( $true = (X3) )
& ( $true != (X6) ) )
=> ( $true != (X2) ) )
& ( ( ( $true != (X3) )
& ( $true != (X4) ) )
=> ( $true = (X8) ) )
& ( ( ( $true = (X8) )
& ( $true = (X0) )
& ( $true = (X5) ) )
=> ( $true != (X2) ) )
& ( ( ( $true = (X4) )
& ( $true = (X5) ) )
=> ( $true != (X10) ) )
& ( ( ( $true = (X3) )
& ( $true != (X8) )
& ( $true != (X2) ) )
=> ( $true != (X9) ) )
& ( ( ( $true = (X6) )
& ( $true != (X1) )
& ( $true != (X7) ) )
=> ( $true = (X10) ) )
& ( ( ( $true = (X3) )
& ( $true = (X9) )
& ( $true != (X4) ) )
=> ( $true != (X10) ) )
& ( ( ( $true = (X4) )
& ( $true != (X8) )
& ( $true != (X2) ) )
=> ( $true = (X3) ) ) )
=> ( ( ( $true = (X5) )
& ( $true = (X0) ) )
=> ( ( $true = (X7) )
& ( $true != (X9) ) ) ) ),
inference(fool_elimination,[],[f3]) ).
tff(f5,plain,
~ ! [X0: $o,X1: $o,X2: $o,X3: $o,X4: $o,X5: $o,X6: $o,X7: $o,X8: $o,X9: $o,X10: $o] :
( ( ( ( ( $true = (X0) )
& ( $true = (X1) ) )
=> ( $true = (X2) ) )
& ( ( ( $true = (X3) )
& ( $true != (X4) ) )
=> ( $true = (X2) ) )
& ( ( ( $true != (X8) )
& ( $true = (X6) )
& ( $true = (X2) ) )
=> ( $true = (X7) ) )
& ( ( ( $true != (X3) )
& ( $true != (X1) ) )
=> ( $true = (X4) ) )
& ( ( ( $true = (X8) )
& ( $true = (X9) ) )
=> ( $true = (X10) ) )
& ( ( ( $true = (X4) )
& ( $true != (X6) )
& ( $true != (X7) ) )
=> ( $true = (X1) ) )
& ( ( ( $true = (X0) )
& ( $true = (X2) ) )
=> ( $true = (X10) ) )
& ( ( ( $true = (X5) )
& ( $true != (X8) )
& ( $true = (X3) )
& ( $true != (X6) ) )
=> ( $true != (X2) ) )
& ( ( ( $true != (X3) )
& ( $true != (X4) ) )
=> ( $true = (X8) ) )
& ( ( ( $true = (X8) )
& ( $true = (X0) )
& ( $true = (X5) ) )
=> ( $true != (X2) ) )
& ( ( ( $true = (X4) )
& ( $true = (X5) ) )
=> ( $true != (X10) ) )
& ( ( ( $true = (X3) )
& ( $true != (X8) )
& ( $true != (X2) ) )
=> ( $true != (X9) ) )
& ( ( ( $true = (X6) )
& ( $true != (X1) )
& ( $true != (X7) ) )
=> ( $true = (X10) ) )
& ( ( ( $true = (X3) )
& ( $true = (X9) )
& ( $true != (X4) ) )
=> ( $true != (X10) ) )
& ( ( ( $true = (X4) )
& ( $true != (X8) )
& ( $true != (X2) ) )
=> ( $true = (X3) ) ) )
=> ( ( ( $true = (X5) )
& ( $true = (X0) ) )
=> ( ( $true = (X7) )
& ( $true != (X9) ) ) ) ),
inference(flattening,[],[f4]) ).
tff(f6,plain,
? [X0: $o,X1: $o,X2: $o,X3: $o,X4: $o,X5: $o,X6: $o,X7: $o,X8: $o,X9: $o,X10: $o] :
( ( ( $true != (X7) )
| ( $true = (X9) ) )
& ( $true = (X5) )
& ( $true = (X0) )
& ( ( $true = (X2) )
| ( $true != (X0) )
| ( $true != (X1) ) )
& ( ( $true = (X2) )
| ( $true != (X3) )
| ( $true = (X4) ) )
& ( ( $true = (X7) )
| ( $true = (X8) )
| ( $true != (X6) )
| ( $true != (X2) ) )
& ( ( $true = (X4) )
| ( $true = (X3) )
| ( $true = (X1) ) )
& ( ( $true = (X10) )
| ( $true != (X8) )
| ( $true != (X9) ) )
& ( ( $true = (X1) )
| ( $true != (X4) )
| ( $true = (X6) )
| ( $true = (X7) ) )
& ( ( $true = (X10) )
| ( $true != (X0) )
| ( $true != (X2) ) )
& ( ( $true != (X2) )
| ( $true != (X5) )
| ( $true = (X8) )
| ( $true != (X3) )
| ( $true = (X6) ) )
& ( ( $true = (X8) )
| ( $true = (X3) )
| ( $true = (X4) ) )
& ( ( $true != (X2) )
| ( $true != (X8) )
| ( $true != (X0) )
| ( $true != (X5) ) )
& ( ( $true != (X10) )
| ( $true != (X4) )
| ( $true != (X5) ) )
& ( ( $true != (X9) )
| ( $true != (X3) )
| ( $true = (X8) )
| ( $true = (X2) ) )
& ( ( $true = (X10) )
| ( $true != (X6) )
| ( $true = (X1) )
| ( $true = (X7) ) )
& ( ( $true != (X10) )
| ( $true != (X3) )
| ( $true != (X9) )
| ( $true = (X4) ) )
& ( ( $true = (X3) )
| ( $true != (X4) )
| ( $true = (X8) )
| ( $true = (X2) ) ) ),
inference(ennf_transformation,[],[f5]) ).
tff(f7,plain,
? [X0: $o,X1: $o,X2: $o,X3: $o,X4: $o,X5: $o,X6: $o,X7: $o,X8: $o,X9: $o,X10: $o] :
( ( ( $true != (X7) )
| ( $true = (X9) ) )
& ( $true = (X5) )
& ( $true = (X0) )
& ( ( $true = (X2) )
| ( $true != (X0) )
| ( $true != (X1) ) )
& ( ( $true = (X2) )
| ( $true != (X3) )
| ( $true = (X4) ) )
& ( ( $true = (X7) )
| ( $true = (X8) )
| ( $true != (X6) )
| ( $true != (X2) ) )
& ( ( $true = (X4) )
| ( $true = (X3) )
| ( $true = (X1) ) )
& ( ( $true = (X10) )
| ( $true != (X8) )
| ( $true != (X9) ) )
& ( ( $true = (X1) )
| ( $true != (X4) )
| ( $true = (X6) )
| ( $true = (X7) ) )
& ( ( $true = (X10) )
| ( $true != (X0) )
| ( $true != (X2) ) )
& ( ( $true != (X2) )
| ( $true != (X5) )
| ( $true = (X8) )
| ( $true != (X3) )
| ( $true = (X6) ) )
& ( ( $true = (X8) )
| ( $true = (X3) )
| ( $true = (X4) ) )
& ( ( $true != (X2) )
| ( $true != (X8) )
| ( $true != (X0) )
| ( $true != (X5) ) )
& ( ( $true != (X10) )
| ( $true != (X4) )
| ( $true != (X5) ) )
& ( ( $true != (X9) )
| ( $true != (X3) )
| ( $true = (X8) )
| ( $true = (X2) ) )
& ( ( $true = (X10) )
| ( $true != (X6) )
| ( $true = (X1) )
| ( $true = (X7) ) )
& ( ( $true != (X10) )
| ( $true != (X3) )
| ( $true != (X9) )
| ( $true = (X4) ) )
& ( ( $true = (X3) )
| ( $true != (X4) )
| ( $true = (X8) )
| ( $true = (X2) ) ) ),
inference(flattening,[],[f6]) ).
tff(f8,plain,
( ( ( $true != sK7 )
| ( $true = sK9 ) )
& ( $true = sK5 )
& ( $true = sK0 )
& ( ( $true = sK2 )
| ( $true != sK0 )
| ( $true != sK1 ) )
& ( ( $true = sK2 )
| ( $true != sK3 )
| ( $true = sK4 ) )
& ( ( $true = sK7 )
| ( $true = sK8 )
| ( $true != sK6 )
| ( $true != sK2 ) )
& ( ( $true = sK4 )
| ( $true = sK3 )
| ( $true = sK1 ) )
& ( ( $true = sK10 )
| ( $true != sK8 )
| ( $true != sK9 ) )
& ( ( $true = sK1 )
| ( $true != sK4 )
| ( $true = sK6 )
| ( $true = sK7 ) )
& ( ( $true = sK10 )
| ( $true != sK0 )
| ( $true != sK2 ) )
& ( ( $true != sK2 )
| ( $true != sK5 )
| ( $true = sK8 )
| ( $true != sK3 )
| ( $true = sK6 ) )
& ( ( $true = sK8 )
| ( $true = sK3 )
| ( $true = sK4 ) )
& ( ( $true != sK2 )
| ( $true != sK8 )
| ( $true != sK0 )
| ( $true != sK5 ) )
& ( ( $true != sK10 )
| ( $true != sK4 )
| ( $true != sK5 ) )
& ( ( $true != sK9 )
| ( $true != sK3 )
| ( $true = sK8 )
| ( $true = sK2 ) )
& ( ( $true = sK10 )
| ( $true != sK6 )
| ( $true = sK1 )
| ( $true = sK7 ) )
& ( ( $true != sK10 )
| ( $true != sK3 )
| ( $true != sK9 )
| ( $true = sK4 ) )
& ( ( $true = sK3 )
| ( $true != sK4 )
| ( $true = sK8 )
| ( $true = sK2 ) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK0,sK1,sK2,sK3,sK4,sK5,sK6,sK7,sK8,sK9,sK10]),skolemize(X0,sK0),skolemize(X1,sK1),skolemize(X2,sK2),skolemize(X3,sK3),skolemize(X4,sK4),skolemize(X5,sK5),skolemize(X6,sK6),skolemize(X7,sK7),skolemize(X8,sK8),skolemize(X9,sK9),skolemize(X10,sK10)],[f7]) ).
tff(f9,plain,
( ( $true = sK3 )
| ( $true != sK4 )
| ( $true = sK8 )
| ( $true = sK2 ) ),
inference(cnf_transformation,[],[f8]) ).
tff(f10,plain,
( ( $true != sK10 )
| ( $true != sK3 )
| ( $true != sK9 )
| ( $true = sK4 ) ),
inference(cnf_transformation,[],[f8]) ).
tff(f11,plain,
( ( $true = sK10 )
| ( $true != sK6 )
| ( $true = sK1 )
| ( $true = sK7 ) ),
inference(cnf_transformation,[],[f8]) ).
tff(f12,plain,
( ( $true != sK9 )
| ( $true != sK3 )
| ( $true = sK8 )
| ( $true = sK2 ) ),
inference(cnf_transformation,[],[f8]) ).
tff(f13,plain,
( ( $true != sK10 )
| ( $true != sK4 )
| ( $true != sK5 ) ),
inference(cnf_transformation,[],[f8]) ).
tff(f14,plain,
( ( $true != sK2 )
| ( $true != sK8 )
| ( $true != sK0 )
| ( $true != sK5 ) ),
inference(cnf_transformation,[],[f8]) ).
tff(f15,plain,
( ( $true = sK8 )
| ( $true = sK3 )
| ( $true = sK4 ) ),
inference(cnf_transformation,[],[f8]) ).
tff(f16,plain,
( ( $true != sK2 )
| ( $true != sK5 )
| ( $true = sK8 )
| ( $true != sK3 )
| ( $true = sK6 ) ),
inference(cnf_transformation,[],[f8]) ).
tff(f17,plain,
( ( $true = sK10 )
| ( $true != sK0 )
| ( $true != sK2 ) ),
inference(cnf_transformation,[],[f8]) ).
tff(f18,plain,
( ( $true = sK1 )
| ( $true != sK4 )
| ( $true = sK6 )
| ( $true = sK7 ) ),
inference(cnf_transformation,[],[f8]) ).
tff(f19,plain,
( ( $true = sK10 )
| ( $true != sK8 )
| ( $true != sK9 ) ),
inference(cnf_transformation,[],[f8]) ).
tff(f20,plain,
( ( $true = sK4 )
| ( $true = sK3 )
| ( $true = sK1 ) ),
inference(cnf_transformation,[],[f8]) ).
tff(f21,plain,
( ( $true = sK7 )
| ( $true = sK8 )
| ( $true != sK6 )
| ( $true != sK2 ) ),
inference(cnf_transformation,[],[f8]) ).
tff(f22,plain,
( ( $true = sK2 )
| ( $true != sK3 )
| ( $true = sK4 ) ),
inference(cnf_transformation,[],[f8]) ).
tff(f23,plain,
( ( $true = sK2 )
| ( $true != sK0 )
| ( $true != sK1 ) ),
inference(cnf_transformation,[],[f8]) ).
tff(f24,plain,
$true = sK0,
inference(cnf_transformation,[],[f8]) ).
tff(f25,plain,
$true = sK5,
inference(cnf_transformation,[],[f8]) ).
tff(f26,plain,
( ( $true != sK7 )
| ( $true = sK9 ) ),
inference(cnf_transformation,[],[f8]) ).
tff(f30,definition,
( spl11_1
<=> ( $true = sK2 ) ),
introduced(definition,[new_symbols(definition,[spl11_1])],[avatar_definition]) ).
tff(f34,definition,
( spl11_2
<=> ( $true = sK8 ) ),
introduced(definition,[new_symbols(definition,[spl11_2])],[avatar_definition]) ).
tff(f38,definition,
( spl11_3
<=> ( $true = sK4 ) ),
introduced(definition,[new_symbols(definition,[spl11_3])],[avatar_definition]) ).
tff(f42,definition,
( spl11_4
<=> ( $true = sK3 ) ),
introduced(definition,[new_symbols(definition,[spl11_4])],[avatar_definition]) ).
tff(f45,plain,
( spl11_1
| spl11_2
| ~ spl11_3
| spl11_4 ),
inference(avatar_split_clause,[],[f9,f42,f38,f34,f30]) ).
tff(f47,definition,
( spl11_5
<=> ( $true = sK9 ) ),
introduced(definition,[new_symbols(definition,[spl11_5])],[avatar_definition]) ).
tff(f51,definition,
( spl11_6
<=> ( $true = sK10 ) ),
introduced(definition,[new_symbols(definition,[spl11_6])],[avatar_definition]) ).
tff(f54,plain,
( spl11_3
| ~ spl11_5
| ~ spl11_4
| ~ spl11_6 ),
inference(avatar_split_clause,[],[f10,f51,f42,f47,f38]) ).
tff(f56,definition,
( spl11_7
<=> ( $true = sK7 ) ),
introduced(definition,[new_symbols(definition,[spl11_7])],[avatar_definition]) ).
tff(f60,definition,
( spl11_8
<=> ( $true = sK1 ) ),
introduced(definition,[new_symbols(definition,[spl11_8])],[avatar_definition]) ).
tff(f64,definition,
( spl11_9
<=> ( $true = sK6 ) ),
introduced(definition,[new_symbols(definition,[spl11_9])],[avatar_definition]) ).
tff(f67,plain,
( spl11_7
| spl11_8
| ~ spl11_9
| spl11_6 ),
inference(avatar_split_clause,[],[f11,f51,f64,f60,f56]) ).
tff(f68,plain,
( spl11_1
| spl11_2
| ~ spl11_4
| ~ spl11_5 ),
inference(avatar_split_clause,[],[f12,f47,f42,f34,f30]) ).
tff(f70,definition,
( spl11_10
<=> ( $true = sK5 ) ),
introduced(definition,[new_symbols(definition,[spl11_10])],[avatar_definition]) ).
tff(f73,plain,
( ~ spl11_10
| ~ spl11_3
| ~ spl11_6 ),
inference(avatar_split_clause,[],[f13,f51,f38,f70]) ).
tff(f75,definition,
( spl11_11
<=> ( $true = sK0 ) ),
introduced(definition,[new_symbols(definition,[spl11_11])],[avatar_definition]) ).
tff(f78,plain,
( ~ spl11_10
| ~ spl11_11
| ~ spl11_2
| ~ spl11_1 ),
inference(avatar_split_clause,[],[f14,f30,f34,f75,f70]) ).
tff(f79,plain,
( spl11_3
| spl11_4
| spl11_2 ),
inference(avatar_split_clause,[],[f15,f34,f42,f38]) ).
tff(f80,plain,
( spl11_9
| ~ spl11_4
| spl11_2
| ~ spl11_10
| ~ spl11_1 ),
inference(avatar_split_clause,[],[f16,f30,f70,f34,f42,f64]) ).
tff(f81,plain,
( ~ spl11_1
| ~ spl11_11
| spl11_6 ),
inference(avatar_split_clause,[],[f17,f51,f75,f30]) ).
tff(f82,plain,
( spl11_7
| spl11_9
| ~ spl11_3
| spl11_8 ),
inference(avatar_split_clause,[],[f18,f60,f38,f64,f56]) ).
tff(f83,plain,
( ~ spl11_5
| ~ spl11_2
| spl11_6 ),
inference(avatar_split_clause,[],[f19,f51,f34,f47]) ).
tff(f84,plain,
( spl11_8
| spl11_4
| spl11_3 ),
inference(avatar_split_clause,[],[f20,f38,f42,f60]) ).
tff(f85,plain,
( ~ spl11_1
| ~ spl11_9
| spl11_2
| spl11_7 ),
inference(avatar_split_clause,[],[f21,f56,f34,f64,f30]) ).
tff(f86,plain,
( spl11_3
| ~ spl11_4
| spl11_1 ),
inference(avatar_split_clause,[],[f22,f30,f42,f38]) ).
tff(f87,plain,
( ~ spl11_8
| ~ spl11_11
| spl11_1 ),
inference(avatar_split_clause,[],[f23,f30,f75,f60]) ).
tff(f88,plain,
( spl11_5
| ~ spl11_7 ),
inference(avatar_split_clause,[],[f26,f56,f47]) ).
tff(f89,plain,
spl11_11,
inference(avatar_split_clause,[],[f24,f75]) ).
tff(f90,plain,
spl11_10,
inference(avatar_split_clause,[],[f25,f70]) ).
cnf(s1,plain,
( spl11_1
| spl11_2
| ~ spl11_3
| spl11_4 ),
inference(sat_conversion,[],[f45]) ).
cnf(s2,plain,
( spl11_3
| ~ spl11_4
| ~ spl11_5
| ~ spl11_6 ),
inference(sat_conversion,[],[f54]) ).
cnf(s3,plain,
( spl11_6
| spl11_7
| spl11_8
| ~ spl11_9 ),
inference(sat_conversion,[],[f67]) ).
cnf(s4,plain,
( spl11_1
| spl11_2
| ~ spl11_4
| ~ spl11_5 ),
inference(sat_conversion,[],[f68]) ).
cnf(s5,plain,
( ~ spl11_3
| ~ spl11_6
| ~ spl11_10 ),
inference(sat_conversion,[],[f73]) ).
cnf(s6,plain,
( ~ spl11_1
| ~ spl11_2
| ~ spl11_10
| ~ spl11_11 ),
inference(sat_conversion,[],[f78]) ).
cnf(s7,plain,
( spl11_2
| spl11_3
| spl11_4 ),
inference(sat_conversion,[],[f79]) ).
cnf(s8,plain,
( ~ spl11_1
| spl11_2
| ~ spl11_4
| spl11_9
| ~ spl11_10 ),
inference(sat_conversion,[],[f80]) ).
cnf(s9,plain,
( ~ spl11_1
| spl11_6
| ~ spl11_11 ),
inference(sat_conversion,[],[f81]) ).
cnf(s10,plain,
( ~ spl11_3
| spl11_7
| spl11_8
| spl11_9 ),
inference(sat_conversion,[],[f82]) ).
cnf(s11,plain,
( ~ spl11_2
| ~ spl11_5
| spl11_6 ),
inference(sat_conversion,[],[f83]) ).
cnf(s12,plain,
( spl11_3
| spl11_4
| spl11_8 ),
inference(sat_conversion,[],[f84]) ).
cnf(s13,plain,
( ~ spl11_1
| spl11_2
| spl11_7
| ~ spl11_9 ),
inference(sat_conversion,[],[f85]) ).
cnf(s14,plain,
( spl11_1
| spl11_3
| ~ spl11_4 ),
inference(sat_conversion,[],[f86]) ).
cnf(s15,plain,
( spl11_1
| ~ spl11_8
| ~ spl11_11 ),
inference(sat_conversion,[],[f87]) ).
cnf(s16,plain,
( spl11_5
| ~ spl11_7 ),
inference(sat_conversion,[],[f88]) ).
cnf(s17,plain,
spl11_11,
inference(sat_conversion,[],[f89]) ).
cnf(s18,plain,
spl11_10,
inference(sat_conversion,[],[f90]) ).
cnf(s19,plain,
( spl11_1
| ~ spl11_8 ),
inference(rat,[],[s15,s17]) ).
cnf(s20,plain,
( ~ spl11_1
| spl11_6 ),
inference(rat,[],[s9,s17]) ).
cnf(s21,plain,
( ~ spl11_1
| spl11_2
| ~ spl11_4
| spl11_9 ),
inference(rat,[],[s8,s18]) ).
cnf(s22,plain,
( ~ spl11_1
| ~ spl11_2 ),
inference(rat,[],[s6,s17,s18]) ).
cnf(s23,plain,
( ~ spl11_3
| ~ spl11_6 ),
inference(rat,[],[s5,s18]) ).
cnf(s24,plain,
( spl11_3
| spl11_1 ),
inference(rat,[],[s14,s12,s19]) ).
cnf(s25,plain,
( spl11_7
| spl11_1 ),
inference(rat,[],[s3,s10,s19,s23,s24]) ).
cnf(s26,plain,
spl11_1,
inference(rat,[],[s4,s1,s11,s16,s25,s23,s24]) ).
cnf(s27,plain,
spl11_6,
inference(rat,[],[s20,s26]) ).
cnf(s28,plain,
~ spl11_2,
inference(rat,[],[s22,s26]) ).
cnf(s29,plain,
~ spl11_3,
inference(rat,[],[s23,s27]) ).
cnf(s30,plain,
spl11_4,
inference(rat,[],[s7,s28,s29]) ).
cnf(s31,plain,
spl11_9,
inference(rat,[],[s21,s28,s26,s30]) ).
cnf(s32,plain,
~ spl11_5,
inference(rat,[],[s2,s27,s29,s30]) ).
cnf(s33,plain,
spl11_7,
inference(rat,[],[s13,s28,s26,s31]) ).
cnf(s34,plain,
$false,
inference(rat,[],[s16,s33,s32]) ).
tff(f91,plain,
$false,
inference(avatar_sat_refutation,[],[s34]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SYO180_8 : TPTP v9.3.1. Released v8.0.0.
% 0.00/0.06 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.09/0.18 % Computer : n026.cluster.edu
% 0.09/0.18 % Model : x86_64 x86_64
% 0.09/0.18 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.18 % Memory : 8046.5625MB
% 0.09/0.18 % OS : Linux 6.8.0-71-generic
% 0.09/0.18 % CPULimit : 300
% 0.09/0.18 % WCLimit : 300
% 0.09/0.18 % DateTime : Mon Sep 28 17:34:12 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 first-order theorem proving
% 0.09/0.22 Running: /export/starexec/sandbox/solver/bin/vampire --input_syntax tptp --output_axiom_names on --mode casc -m 16384 --cores 7 -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 2.98/1.09 % (4050581)Detected formulas, will run a generic FOF schedule.
% 2.98/1.09 % (4050673)lrs+1010_1_anc=all:sfv=off:to=kbo:ncem=casc2026/models/loop7.pt:sil=128000:npcc=on:prc=on:sos=all:bsr=unit_only:sac=on:random_seed=124298940:i=141695:sd=1:nm=32:gsp=on:ss=included_2999 on theBenchmark for (2999ds/141695Mi)
% 2.98/1.09 % (4050676)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=2779189764:s2a=on:i=139:gtg=position_2999 on theBenchmark for (2999ds/139Mi)
% 2.98/1.09 % (4050677)dis-21_1_sil=8000:lcm=predicate:random_seed=442534103:st=5:avsq=on:i=129:avsqr=1,16:sd=3:aac=none:ep=RS:fsr=off:ss=included_2999 on theBenchmark for (2999ds/129Mi)
% 2.98/1.09 % (4050672)lrs+11_1_ncem=casc2026/models/loop8.pt:sil=128000:npcc=on:lma=off:spb=units:urr=ec_only:bce=on:s2agt=64:updr=off:random_seed=375412766:i=134677:sd=20:aac=none:nm=16:ss=included:sgt=10_2999 on theBenchmark for (2999ds/134677Mi)
% 2.98/1.09 % (4050671)lrs+10_1_ncem=casc2026/models/loop8.pt:sil=128000:tgt=full:npcc=on:drc=off:sp=weighted_frequency:spb=goal:fd=preordered:foolp=on:random_seed=658768107:i=141193_2999 on theBenchmark for (2999ds/141193Mi)
% 2.98/1.09 % (4050674)lrs+1010_1_to=lpo:sil=32000:sos=on:spb=goal_then_units:bce=on:random_seed=3513120036:i=109:sd=1:ins=1:gsp=on:ss=axioms_2999 on theBenchmark for (2999ds/109Mi)
% 2.98/1.09 % (4050675)dis-1010_2:3_sil=16000:sp=reverse_frequency:random_seed=2979572599:i=119:av=off:ss=axioms_2999 on theBenchmark for (2999ds/119Mi)
% 2.98/1.09 % (4050676)First to succeed.
% 2.98/1.09 % (4050677)Also succeeded, but the first one will report.
% 2.98/1.09 % (4050676)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-4050581"
% 2.98/1.09 % (4050674)Also succeeded, but the first one will report.
% 2.98/1.09 % (4050675)Instruction limit reached!
% 2.98/1.09 % (4050675)------------------------------
% 2.98/1.09 % (4050675)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 2.98/1.09 % (4050675)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.98/1.09 % (4050675)CaDiCaL version: 2.1.3
% 2.98/1.09 % (4050675)Termination reason: Instruction limit
% 2.98/1.09 % (4050675)Termination phase: Saturation
% 2.98/1.09 % (4050675)Time elapsed: 0.051 s
% 2.98/1.09 % (4050675)Peak memory usage: 87 MB
% 2.98/1.09 % (4050675)Instructions burned: 122 (million)
% 2.98/1.09 % (4050685)lrs+10_1_sil=8000:sp=occurrence:random_seed=772788046:i=285:sd=3:ss=axioms:sgt=8_2997 on theBenchmark for (2997ds/285Mi)
% 2.98/1.09 % (4050685)Also succeeded, but the first one will report.
% 2.98/1.09 % (4050676)Refutation found. Thanks to Tanya!
% 2.98/1.09 % SZS status Theorem for theBenchmark
% 2.98/1.09 % SZS output start Proof for theBenchmark
% See solution above
% 3.50/1.19 % (4050676)------------------------------
% 3.50/1.19 % (4050676)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.50/1.19 % (4050676)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.50/1.19 % (4050676)CaDiCaL version: 2.1.3
% 3.50/1.19 % (4050676)Termination reason: Refutation
% 3.50/1.19 % (4050676)Time elapsed: 0.004 s
% 3.50/1.19 % (4050676)Peak memory usage: 89 MB
% 3.50/1.19 % (4050676)Instructions burned: 5 (million)
% 3.50/1.19 % (4050676)------------------------------
% 3.50/1.19 % (4050676)------------------------------
% 3.50/1.19 % (4050581)Success in time 0.418 s
% 3.50/1.19 % Vampire exiting
%------------------------------------------------------------------------------