%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : SYO180^5 : TPTP v9.3.1. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% Computer : n020.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 08:46:48 AM UTC 2026
% Result : Theorem 0.22s 0.27s
% Output : Refutation 0.22s
% Verified :
% SZS Type : Refutation
% Derivation depth : 23
% Number of leaves : 10
% Syntax : Number of formulae : 92 ( 13 unt; 0 typ; 9 def)
% Number of atoms : 1066 ( 390 equ)
% Maximal formula atoms : 58 ( 11 avg)
% Number of connectives : 904 ( 304 ~; 255 |; 251 &)
% ( 9 <=>; 85 =>; 0 <=; 0 <~>)
% Maximal formula depth : 32 ( 6 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of FOOLs : 954 ( 548 fml; 406 var)
% Number of types : 1 ( 0 usr)
% Number of type conns : 0 ( 0 >; 0 *; 0 +; 0 <<)
% Number of predicates : 23 ( 20 usr; 22 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] :
( ( ( ( ~ (X2)
& ~ (X8)
& (X4) )
=> (X3) )
& ( ( ~ (X4)
& (X9)
& (X3) )
=> ~ (X10) )
& ( ( ~ (X7)
& ~ (X1)
& (X6) )
=> (X10) )
& ( ( ~ (X2)
& ~ (X8)
& (X3) )
=> ~ (X9) )
& ( ( (X5)
& (X4) )
=> ~ (X10) )
& ( ( (X5)
& (X0)
& (X8) )
=> ~ (X2) )
& ( ( ~ (X4)
& ~ (X3) )
=> (X8) )
& ( ( ~ (X6)
& (X3)
& ~ (X8)
& (X5) )
=> ~ (X2) )
& ( ( (X2)
& (X0) )
=> (X10) )
& ( ( ~ (X7)
& ~ (X6)
& (X4) )
=> (X1) )
& ( ( (X9)
& (X8) )
=> (X10) )
& ( ( ~ (X1)
& ~ (X3) )
=> (X4) )
& ( ( (X2)
& (X6)
& ~ (X8) )
=> (X7) )
& ( ( ~ (X4)
& (X3) )
=> (X2) )
& ( ( (X1)
& (X0) )
=> (X2) ) )
=> ( ( (X0)
& (X5) )
=> ( ~ (X9)
& (X7) ) ) ),
file('/export/starexec/sandbox2/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] :
( ( ( ( ~ (X2)
& ~ (X8)
& (X4) )
=> (X3) )
& ( ( ~ (X4)
& (X9)
& (X3) )
=> ~ (X10) )
& ( ( ~ (X7)
& ~ (X1)
& (X6) )
=> (X10) )
& ( ( ~ (X2)
& ~ (X8)
& (X3) )
=> ~ (X9) )
& ( ( (X5)
& (X4) )
=> ~ (X10) )
& ( ( (X5)
& (X0)
& (X8) )
=> ~ (X2) )
& ( ( ~ (X4)
& ~ (X3) )
=> (X8) )
& ( ( ~ (X6)
& (X3)
& ~ (X8)
& (X5) )
=> ~ (X2) )
& ( ( (X2)
& (X0) )
=> (X10) )
& ( ( ~ (X7)
& ~ (X6)
& (X4) )
=> (X1) )
& ( ( (X9)
& (X8) )
=> (X10) )
& ( ( ~ (X1)
& ~ (X3) )
=> (X4) )
& ( ( (X2)
& (X6)
& ~ (X8) )
=> (X7) )
& ( ( ~ (X4)
& (X3) )
=> (X2) )
& ( ( (X1)
& (X0) )
=> (X2) ) )
=> ( ( (X0)
& (X5) )
=> ( ~ (X9)
& (X7) ) ) ),
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] :
( ( ( ( ~ (X2)
& ~ (X8)
& (X4) )
=> (X3) )
& ( ( ~ (X4)
& (X9)
& (X3) )
=> ~ (X10) )
& ( ( ~ (X7)
& ~ (X1)
& (X6) )
=> (X10) )
& ( ( ~ (X2)
& ~ (X8)
& (X3) )
=> ~ (X9) )
& ( ( (X5)
& (X4) )
=> ~ (X10) )
& ( ( (X5)
& (X0)
& (X8) )
=> ~ (X2) )
& ( ( ~ (X4)
& ~ (X3) )
=> (X8) )
& ( ( ~ (X6)
& (X3)
& ~ (X8)
& (X5) )
=> ~ (X2) )
& ( ( (X2)
& (X0) )
=> (X10) )
& ( ( ~ (X7)
& ~ (X6)
& (X4) )
=> (X1) )
& ( ( (X9)
& (X8) )
=> (X10) )
& ( ( ~ (X1)
& ~ (X3) )
=> (X4) )
& ( ( (X2)
& (X6)
& ~ (X8) )
=> (X7) )
& ( ( ~ (X4)
& (X3) )
=> (X2) )
& ( ( (X1)
& (X0) )
=> (X2) ) )
=> ( ( (X0)
& (X5) )
=> ( ~ (X9)
& (X7) ) ) ),
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 != (X2) )
& ( $true != (X8) )
& ( $true = (X4) ) )
=> ( $true = (X3) ) )
& ( ( ( $true != (X4) )
& ( $true = (X9) )
& ( $true = (X3) ) )
=> ( $true != (X10) ) )
& ( ( ( $true != (X7) )
& ( $true != (X1) )
& ( $true = (X6) ) )
=> ( $true = (X10) ) )
& ( ( ( $true != (X2) )
& ( $true != (X8) )
& ( $true = (X3) ) )
=> ( $true != (X9) ) )
& ( ( ( $true = (X5) )
& ( $true = (X4) ) )
=> ( $true != (X10) ) )
& ( ( ( $true = (X5) )
& ( $true = (X0) )
& ( $true = (X8) ) )
=> ( $true != (X2) ) )
& ( ( ( $true != (X4) )
& ( $true != (X3) ) )
=> ( $true = (X8) ) )
& ( ( ( $true != (X6) )
& ( $true = (X3) )
& ( $true != (X8) )
& ( $true = (X5) ) )
=> ( $true != (X2) ) )
& ( ( ( $true = (X2) )
& ( $true = (X0) ) )
=> ( $true = (X10) ) )
& ( ( ( $true != (X7) )
& ( $true != (X6) )
& ( $true = (X4) ) )
=> ( $true = (X1) ) )
& ( ( ( $true = (X9) )
& ( $true = (X8) ) )
=> ( $true = (X10) ) )
& ( ( ( $true != (X1) )
& ( $true != (X3) ) )
=> ( $true = (X4) ) )
& ( ( ( $true = (X2) )
& ( $true = (X6) )
& ( $true != (X8) ) )
=> ( $true = (X7) ) )
& ( ( ( $true != (X4) )
& ( $true = (X3) ) )
=> ( $true = (X2) ) )
& ( ( ( $true = (X1) )
& ( $true = (X0) ) )
=> ( $true = (X2) ) ) )
=> ( ( ( $true = (X0) )
& ( $true = (X5) ) )
=> ( ( $true != (X9) )
& ( $true = (X7) ) ) ) ),
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 != (X2) )
& ( $true != (X8) )
& ( $true = (X4) ) )
=> ( $true = (X3) ) )
& ( ( ( $true != (X4) )
& ( $true = (X9) )
& ( $true = (X3) ) )
=> ( $true != (X10) ) )
& ( ( ( $true != (X7) )
& ( $true != (X1) )
& ( $true = (X6) ) )
=> ( $true = (X10) ) )
& ( ( ( $true != (X2) )
& ( $true != (X8) )
& ( $true = (X3) ) )
=> ( $true != (X9) ) )
& ( ( ( $true = (X5) )
& ( $true = (X4) ) )
=> ( $true != (X10) ) )
& ( ( ( $true = (X5) )
& ( $true = (X0) )
& ( $true = (X8) ) )
=> ( $true != (X2) ) )
& ( ( ( $true != (X4) )
& ( $true != (X3) ) )
=> ( $true = (X8) ) )
& ( ( ( $true != (X6) )
& ( $true = (X3) )
& ( $true != (X8) )
& ( $true = (X5) ) )
=> ( $true != (X2) ) )
& ( ( ( $true = (X2) )
& ( $true = (X0) ) )
=> ( $true = (X10) ) )
& ( ( ( $true != (X7) )
& ( $true != (X6) )
& ( $true = (X4) ) )
=> ( $true = (X1) ) )
& ( ( ( $true = (X9) )
& ( $true = (X8) ) )
=> ( $true = (X10) ) )
& ( ( ( $true != (X1) )
& ( $true != (X3) ) )
=> ( $true = (X4) ) )
& ( ( ( $true = (X2) )
& ( $true = (X6) )
& ( $true != (X8) ) )
=> ( $true = (X7) ) )
& ( ( ( $true != (X4) )
& ( $true = (X3) ) )
=> ( $true = (X2) ) )
& ( ( ( $true = (X1) )
& ( $true = (X0) ) )
=> ( $true = (X2) ) ) )
=> ( ( ( $true = (X0) )
& ( $true = (X5) ) )
=> ( ( $true != (X9) )
& ( $true = (X7) ) ) ) ),
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 = (X9) )
| ( $true != (X7) ) )
& ( $true = (X0) )
& ( $true = (X5) )
& ( ( $true = (X3) )
| ( $true = (X2) )
| ( $true = (X8) )
| ( $true != (X4) ) )
& ( ( $true != (X10) )
| ( $true = (X4) )
| ( $true != (X9) )
| ( $true != (X3) ) )
& ( ( $true = (X10) )
| ( $true = (X7) )
| ( $true = (X1) )
| ( $true != (X6) ) )
& ( ( $true != (X9) )
| ( $true = (X2) )
| ( $true = (X8) )
| ( $true != (X3) ) )
& ( ( $true != (X10) )
| ( $true != (X5) )
| ( $true != (X4) ) )
& ( ( $true != (X2) )
| ( $true != (X5) )
| ( $true != (X0) )
| ( $true != (X8) ) )
& ( ( $true = (X8) )
| ( $true = (X4) )
| ( $true = (X3) ) )
& ( ( $true != (X2) )
| ( $true = (X6) )
| ( $true != (X3) )
| ( $true = (X8) )
| ( $true != (X5) ) )
& ( ( $true = (X10) )
| ( $true != (X2) )
| ( $true != (X0) ) )
& ( ( $true = (X1) )
| ( $true = (X7) )
| ( $true = (X6) )
| ( $true != (X4) ) )
& ( ( $true = (X10) )
| ( $true != (X9) )
| ( $true != (X8) ) )
& ( ( $true = (X4) )
| ( $true = (X1) )
| ( $true = (X3) ) )
& ( ( $true = (X7) )
| ( $true != (X2) )
| ( $true != (X6) )
| ( $true = (X8) ) )
& ( ( $true = (X2) )
| ( $true = (X4) )
| ( $true != (X3) ) )
& ( ( $true = (X2) )
| ( $true != (X1) )
| ( $true != (X0) ) ) ),
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 = (X9) )
| ( $true != (X7) ) )
& ( $true = (X0) )
& ( $true = (X5) )
& ( ( $true = (X3) )
| ( $true = (X2) )
| ( $true = (X8) )
| ( $true != (X4) ) )
& ( ( $true != (X10) )
| ( $true = (X4) )
| ( $true != (X9) )
| ( $true != (X3) ) )
& ( ( $true = (X10) )
| ( $true = (X7) )
| ( $true = (X1) )
| ( $true != (X6) ) )
& ( ( $true != (X9) )
| ( $true = (X2) )
| ( $true = (X8) )
| ( $true != (X3) ) )
& ( ( $true != (X10) )
| ( $true != (X5) )
| ( $true != (X4) ) )
& ( ( $true != (X2) )
| ( $true != (X5) )
| ( $true != (X0) )
| ( $true != (X8) ) )
& ( ( $true = (X8) )
| ( $true = (X4) )
| ( $true = (X3) ) )
& ( ( $true != (X2) )
| ( $true = (X6) )
| ( $true != (X3) )
| ( $true = (X8) )
| ( $true != (X5) ) )
& ( ( $true = (X10) )
| ( $true != (X2) )
| ( $true != (X0) ) )
& ( ( $true = (X1) )
| ( $true = (X7) )
| ( $true = (X6) )
| ( $true != (X4) ) )
& ( ( $true = (X10) )
| ( $true != (X9) )
| ( $true != (X8) ) )
& ( ( $true = (X4) )
| ( $true = (X1) )
| ( $true = (X3) ) )
& ( ( $true = (X7) )
| ( $true != (X2) )
| ( $true != (X6) )
| ( $true = (X8) ) )
& ( ( $true = (X2) )
| ( $true = (X4) )
| ( $true != (X3) ) )
& ( ( $true = (X2) )
| ( $true != (X1) )
| ( $true != (X0) ) ) ),
inference(flattening,[],[f6]) ).
tff(f8,plain,
( ( ( $true = sK9 )
| ( $true != sK7 ) )
& ( $true = sK0 )
& ( $true = sK5 )
& ( ( $true = sK3 )
| ( $true = sK2 )
| ( $true = sK8 )
| ( $true != sK4 ) )
& ( ( $true != sK10 )
| ( $true = sK4 )
| ( $true != sK9 )
| ( $true != sK3 ) )
& ( ( $true = sK10 )
| ( $true = sK7 )
| ( $true = sK1 )
| ( $true != sK6 ) )
& ( ( $true != sK9 )
| ( $true = sK2 )
| ( $true = sK8 )
| ( $true != sK3 ) )
& ( ( $true != sK10 )
| ( $true != sK5 )
| ( $true != sK4 ) )
& ( ( $true != sK2 )
| ( $true != sK5 )
| ( $true != sK0 )
| ( $true != sK8 ) )
& ( ( $true = sK8 )
| ( $true = sK4 )
| ( $true = sK3 ) )
& ( ( $true != sK2 )
| ( $true = sK6 )
| ( $true != sK3 )
| ( $true = sK8 )
| ( $true != sK5 ) )
& ( ( $true = sK10 )
| ( $true != sK2 )
| ( $true != sK0 ) )
& ( ( $true = sK1 )
| ( $true = sK7 )
| ( $true = sK6 )
| ( $true != sK4 ) )
& ( ( $true = sK10 )
| ( $true != sK9 )
| ( $true != sK8 ) )
& ( ( $true = sK4 )
| ( $true = sK1 )
| ( $true = sK3 ) )
& ( ( $true = sK7 )
| ( $true != sK2 )
| ( $true != sK6 )
| ( $true = sK8 ) )
& ( ( $true = sK2 )
| ( $true = sK4 )
| ( $true != sK3 ) )
& ( ( $true = sK2 )
| ( $true != sK1 )
| ( $true != sK0 ) ) ),
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 = sK2 )
| ( $true != sK1 )
| ( $true != sK0 ) ),
inference(cnf_transformation,[],[f8]) ).
tff(f10,plain,
( ( $true = sK2 )
| ( $true = sK4 )
| ( $true != sK3 ) ),
inference(cnf_transformation,[],[f8]) ).
tff(f11,plain,
( ( $true = sK7 )
| ( $true != sK2 )
| ( $true != sK6 )
| ( $true = sK8 ) ),
inference(cnf_transformation,[],[f8]) ).
tff(f12,plain,
( ( $true = sK4 )
| ( $true = sK1 )
| ( $true = sK3 ) ),
inference(cnf_transformation,[],[f8]) ).
tff(f13,plain,
( ( $true = sK10 )
| ( $true != sK9 )
| ( $true != sK8 ) ),
inference(cnf_transformation,[],[f8]) ).
tff(f14,plain,
( ( $true = sK1 )
| ( $true = sK7 )
| ( $true = sK6 )
| ( $true != sK4 ) ),
inference(cnf_transformation,[],[f8]) ).
tff(f15,plain,
( ( $true = sK10 )
| ( $true != sK2 )
| ( $true != sK0 ) ),
inference(cnf_transformation,[],[f8]) ).
tff(f16,plain,
( ( $true != sK2 )
| ( $true = sK6 )
| ( $true != sK3 )
| ( $true = sK8 )
| ( $true != sK5 ) ),
inference(cnf_transformation,[],[f8]) ).
tff(f17,plain,
( ( $true = sK8 )
| ( $true = sK4 )
| ( $true = sK3 ) ),
inference(cnf_transformation,[],[f8]) ).
tff(f18,plain,
( ( $true != sK2 )
| ( $true != sK5 )
| ( $true != sK0 )
| ( $true != sK8 ) ),
inference(cnf_transformation,[],[f8]) ).
tff(f19,plain,
( ( $true != sK10 )
| ( $true != sK5 )
| ( $true != sK4 ) ),
inference(cnf_transformation,[],[f8]) ).
tff(f20,plain,
( ( $true != sK9 )
| ( $true = sK2 )
| ( $true = sK8 )
| ( $true != sK3 ) ),
inference(cnf_transformation,[],[f8]) ).
tff(f21,plain,
( ( $true = sK10 )
| ( $true = sK7 )
| ( $true = sK1 )
| ( $true != sK6 ) ),
inference(cnf_transformation,[],[f8]) ).
tff(f22,plain,
( ( $true != sK10 )
| ( $true = sK4 )
| ( $true != sK9 )
| ( $true != sK3 ) ),
inference(cnf_transformation,[],[f8]) ).
tff(f23,plain,
( ( $true = sK3 )
| ( $true = sK2 )
| ( $true = sK8 )
| ( $true != sK4 ) ),
inference(cnf_transformation,[],[f8]) ).
tff(f24,plain,
$true = sK5,
inference(cnf_transformation,[],[f8]) ).
tff(f25,plain,
$true = sK0,
inference(cnf_transformation,[],[f8]) ).
tff(f26,plain,
( ( $true = sK9 )
| ( $true != sK7 ) ),
inference(cnf_transformation,[],[f8]) ).
tff(f29,plain,
( ( $true != sK10 )
| ( $true != $true )
| ( $true != sK4 ) ),
inference(definition_unfolding,[],[f19,f24]) ).
tff(f30,plain,
( ( $true != sK2 )
| ( $true != $true )
| ( $true != $true )
| ( $true != sK8 ) ),
inference(definition_unfolding,[],[f18,f24,f25]) ).
tff(f31,plain,
( ( $true != sK2 )
| ( $true = sK6 )
| ( $true != sK3 )
| ( $true = sK8 )
| ( $true != $true ) ),
inference(definition_unfolding,[],[f16,f24]) ).
tff(f32,plain,
( ( $true = sK10 )
| ( $true != sK2 )
| ( $true != $true ) ),
inference(definition_unfolding,[],[f15,f25]) ).
tff(f33,plain,
( ( $true = sK2 )
| ( $true != sK1 )
| ( $true != $true ) ),
inference(definition_unfolding,[],[f9,f25]) ).
tff(f34,plain,
( ( $true = sK2 )
| ( $true != sK1 ) ),
inference(trivial_inequality_removal,[],[f33]) ).
tff(f35,plain,
( ( $true = sK10 )
| ( $true != sK2 ) ),
inference(trivial_inequality_removal,[],[f32]) ).
tff(f36,plain,
( ( $true != sK2 )
| ( $true = sK6 )
| ( $true != sK3 )
| ( $true = sK8 ) ),
inference(trivial_inequality_removal,[],[f31]) ).
tff(f37,plain,
( ( $true != sK2 )
| ( $true != $true )
| ( $true != sK8 ) ),
inference(duplicate_literal_removal,[],[f30]) ).
tff(f38,plain,
( ( $true != sK2 )
| ( $true != sK8 ) ),
inference(trivial_inequality_removal,[],[f37]) ).
tff(f39,plain,
( ( $true != sK10 )
| ( $true != sK4 ) ),
inference(trivial_inequality_removal,[],[f29]) ).
tff(f41,definition,
( spl11_1
<=> ( $true = sK1 ) ),
introduced(definition,[new_symbols(definition,[spl11_1])],[avatar_definition]) ).
tff(f45,definition,
( spl11_2
<=> ( $true = sK2 ) ),
introduced(definition,[new_symbols(definition,[spl11_2])],[avatar_definition]) ).
tff(f48,plain,
( ~ spl11_1
| spl11_2 ),
inference(avatar_split_clause,[],[f34,f45,f41]) ).
tff(f50,definition,
( spl11_3
<=> ( $true = sK3 ) ),
introduced(definition,[new_symbols(definition,[spl11_3])],[avatar_definition]) ).
tff(f54,definition,
( spl11_4
<=> ( $true = sK4 ) ),
introduced(definition,[new_symbols(definition,[spl11_4])],[avatar_definition]) ).
tff(f57,plain,
( ~ spl11_3
| spl11_4
| spl11_2 ),
inference(avatar_split_clause,[],[f10,f45,f54,f50]) ).
tff(f59,definition,
( spl11_5
<=> ( $true = sK8 ) ),
introduced(definition,[new_symbols(definition,[spl11_5])],[avatar_definition]) ).
tff(f63,definition,
( spl11_6
<=> ( $true = sK6 ) ),
introduced(definition,[new_symbols(definition,[spl11_6])],[avatar_definition]) ).
tff(f67,definition,
( spl11_7
<=> ( $true = sK7 ) ),
introduced(definition,[new_symbols(definition,[spl11_7])],[avatar_definition]) ).
tff(f70,plain,
( spl11_5
| ~ spl11_6
| ~ spl11_2
| spl11_7 ),
inference(avatar_split_clause,[],[f11,f67,f45,f63,f59]) ).
tff(f71,plain,
( spl11_3
| spl11_1
| spl11_4 ),
inference(avatar_split_clause,[],[f12,f54,f41,f50]) ).
tff(f73,definition,
( spl11_8
<=> ( $true = sK9 ) ),
introduced(definition,[new_symbols(definition,[spl11_8])],[avatar_definition]) ).
tff(f77,definition,
( spl11_9
<=> ( $true = sK10 ) ),
introduced(definition,[new_symbols(definition,[spl11_9])],[avatar_definition]) ).
tff(f80,plain,
( ~ spl11_5
| ~ spl11_8
| spl11_9 ),
inference(avatar_split_clause,[],[f13,f77,f73,f59]) ).
tff(f81,plain,
( ~ spl11_4
| spl11_6
| spl11_7
| spl11_1 ),
inference(avatar_split_clause,[],[f14,f41,f67,f63,f54]) ).
tff(f82,plain,
( ~ spl11_2
| spl11_9 ),
inference(avatar_split_clause,[],[f35,f77,f45]) ).
tff(f83,plain,
( spl11_5
| ~ spl11_3
| spl11_6
| ~ spl11_2 ),
inference(avatar_split_clause,[],[f36,f45,f63,f50,f59]) ).
tff(f84,plain,
( spl11_3
| spl11_4
| spl11_5 ),
inference(avatar_split_clause,[],[f17,f59,f54,f50]) ).
tff(f85,plain,
( ~ spl11_5
| ~ spl11_2 ),
inference(avatar_split_clause,[],[f38,f45,f59]) ).
tff(f86,plain,
( ~ spl11_4
| ~ spl11_9 ),
inference(avatar_split_clause,[],[f39,f77,f54]) ).
tff(f87,plain,
( ~ spl11_3
| spl11_5
| spl11_2
| ~ spl11_8 ),
inference(avatar_split_clause,[],[f20,f73,f45,f59,f50]) ).
tff(f88,plain,
( ~ spl11_6
| spl11_1
| spl11_7
| spl11_9 ),
inference(avatar_split_clause,[],[f21,f77,f67,f41,f63]) ).
tff(f89,plain,
( ~ spl11_3
| ~ spl11_8
| spl11_4
| ~ spl11_9 ),
inference(avatar_split_clause,[],[f22,f77,f54,f73,f50]) ).
tff(f90,plain,
( ~ spl11_4
| spl11_5
| spl11_2
| spl11_3 ),
inference(avatar_split_clause,[],[f23,f50,f45,f59,f54]) ).
tff(f91,plain,
( ~ spl11_7
| spl11_8 ),
inference(avatar_split_clause,[],[f26,f73,f67]) ).
cnf(s1,plain,
( ~ spl11_1
| spl11_2 ),
inference(sat_conversion,[],[f48]) ).
cnf(s2,plain,
( spl11_2
| ~ spl11_3
| spl11_4 ),
inference(sat_conversion,[],[f57]) ).
cnf(s3,plain,
( ~ spl11_2
| spl11_5
| ~ spl11_6
| spl11_7 ),
inference(sat_conversion,[],[f70]) ).
cnf(s4,plain,
( spl11_1
| spl11_3
| spl11_4 ),
inference(sat_conversion,[],[f71]) ).
cnf(s5,plain,
( ~ spl11_5
| ~ spl11_8
| spl11_9 ),
inference(sat_conversion,[],[f80]) ).
cnf(s6,plain,
( spl11_1
| ~ spl11_4
| spl11_6
| spl11_7 ),
inference(sat_conversion,[],[f81]) ).
cnf(s7,plain,
( ~ spl11_2
| spl11_9 ),
inference(sat_conversion,[],[f82]) ).
cnf(s8,plain,
( ~ spl11_2
| ~ spl11_3
| spl11_5
| spl11_6 ),
inference(sat_conversion,[],[f83]) ).
cnf(s9,plain,
( spl11_3
| spl11_4
| spl11_5 ),
inference(sat_conversion,[],[f84]) ).
cnf(s10,plain,
( ~ spl11_2
| ~ spl11_5 ),
inference(sat_conversion,[],[f85]) ).
cnf(s11,plain,
( ~ spl11_4
| ~ spl11_9 ),
inference(sat_conversion,[],[f86]) ).
cnf(s12,plain,
( spl11_2
| ~ spl11_3
| spl11_5
| ~ spl11_8 ),
inference(sat_conversion,[],[f87]) ).
cnf(s13,plain,
( spl11_1
| ~ spl11_6
| spl11_7
| spl11_9 ),
inference(sat_conversion,[],[f88]) ).
cnf(s14,plain,
( ~ spl11_3
| spl11_4
| ~ spl11_8
| ~ spl11_9 ),
inference(sat_conversion,[],[f89]) ).
cnf(s15,plain,
( spl11_2
| spl11_3
| ~ spl11_4
| spl11_5 ),
inference(sat_conversion,[],[f90]) ).
cnf(s16,plain,
( ~ spl11_7
| spl11_8 ),
inference(sat_conversion,[],[f91]) ).
cnf(s17,plain,
( spl11_3
| spl11_2
| spl11_1 ),
inference(rat,[],[s6,s13,s16,s5,s15,s11,s4]) ).
cnf(s18,plain,
( spl11_7
| ~ spl11_4
| spl11_1 ),
inference(rat,[],[s6,s13,s11]) ).
cnf(s19,plain,
( spl11_2
| spl11_1 ),
inference(rat,[],[s12,s5,s16,s18,s11,s2,s17]) ).
cnf(s20,plain,
spl11_1,
inference(rat,[],[s3,s16,s8,s14,s4,s11,s7,s10,s19]) ).
cnf(s21,plain,
spl11_2,
inference(rat,[],[s1,s20]) ).
cnf(s22,plain,
~ spl11_5,
inference(rat,[],[s10,s21]) ).
cnf(s23,plain,
spl11_9,
inference(rat,[],[s7,s21]) ).
cnf(s24,plain,
~ spl11_4,
inference(rat,[],[s11,s23]) ).
cnf(s25,plain,
spl11_3,
inference(rat,[],[s9,s22,s24]) ).
cnf(s26,plain,
spl11_6,
inference(rat,[],[s8,s21,s22,s25]) ).
cnf(s27,plain,
~ spl11_8,
inference(rat,[],[s14,s23,s24,s25]) ).
cnf(s28,plain,
spl11_7,
inference(rat,[],[s3,s22,s21,s26]) ).
cnf(s29,plain,
$false,
inference(rat,[],[s16,s27,s28]) ).
tff(f92,plain,
$false,
inference(avatar_sat_refutation,[],[s29]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : SYO180^5 : TPTP v9.3.1. Released v4.0.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.10/0.19 % Computer : n020.cluster.edu
% 0.10/0.19 % Model : x86_64 x86_64
% 0.10/0.19 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.19 % Memory : 8046.5625MB
% 0.10/0.19 % OS : Linux 6.8.0-71-generic
% 0.10/0.19 % CPULimit : 300
% 0.10/0.19 % WCLimit : 300
% 0.10/0.19 % DateTime : Tue Sep 29 16:38:05 UTC 2026
% 0.10/0.19 % CPUTime :
% 0.10/0.19 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.10/0.22 Running higher-order theorem proving
% 0.10/0.23 Running: /export/starexec/sandbox2/solver/bin/vampire-ho --input_syntax tptp --output_axiom_names on --mode casc -m 16384 --cores 7 -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.22/0.27 % (1273420)Detected formulas, will run a generic FOF schedule.
% 0.22/0.27 % (1273425)lrs+1011_1_sp=occurrence:random_seed=1168676822:st=6:sd=4:ss=included_2999 on theBenchmark for (2999ds/0Mi)
% 0.22/0.27 % (1273425) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-1273420-1273425"...
% 0.22/0.27 % (1273425)...printing done.
% 0.22/0.27 % (1273425)Refutation found. Thanks to Tanya!
% 0.22/0.27 % SZS status Theorem for theBenchmark
% 0.22/0.27 % SZS output start Proof for theBenchmark
% See solution above
% 0.22/0.27 % (1273425)------------------------------
% 0.22/0.27 % (1273425)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.22/0.27 % (1273425)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.22/0.27 % (1273425)CaDiCaL version: 2.1.3
% 0.22/0.27 % (1273425)Termination reason: Refutation
% 0.22/0.27 % (1273425)Time elapsed: 0.002 s
% 0.22/0.27 % (1273425)Peak memory usage: 12 MB
% 0.22/0.27 % (1273425)Instructions burned: 5 (million)
% 0.22/0.27 % (1273420)Success in time 0.028 s
% 0.22/0.27 % Vampire exiting
%------------------------------------------------------------------------------