TSTP Solution File: SYO180_8 by Vampire-SAT---4.8
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- Process Solution
%------------------------------------------------------------------------------
% File : Vampire-SAT---4.8
% Problem : SYO180_8 : TPTP v8.1.2. Released v8.0.0.
% Transfm : none
% Format : tptp:raw
% Command : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% Computer : n012.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Tue Apr 30 18:18:56 EDT 2024
% Result : Theorem 0.10s 0.35s
% Output : Refutation 0.10s
% Verified :
% SZS Type : Refutation
% Derivation depth : 13
% Number of leaves : 22
% Syntax : Number of formulae : 75 ( 3 unt; 11 typ; 0 def)
% Number of atoms : 1288 ( 506 equ)
% Maximal formula atoms : 116 ( 20 avg)
% Number of connectives : 1010 ( 334 ~; 296 |; 285 &)
% ( 9 <=>; 86 =>; 0 <=; 0 <~>)
% Maximal formula depth : 33 ( 7 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of FOOLs : 1186 ( 722 fml; 464 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 : 88 ( 55 !; 33 ?; 88 :)
% 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(f93,plain,
$false,
inference(avatar_sat_refutation,[],[f49,f66,f71,f80,f81,f82,f83,f84,f85,f86,f87,f88,f89,f90,f91,f92]) ).
tff(f92,plain,
( ~ spl11_9
| spl11_5 ),
inference(avatar_split_clause,[],[f35,f59,f77]) ).
tff(f77,plain,
( spl11_9
<=> ( $true = sK1 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl11_9])]) ).
tff(f59,plain,
( spl11_5
<=> ( $true = sK2 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl11_5])]) ).
tff(f35,plain,
( ( $true = sK2 )
| ( $true != sK1 ) ),
inference(trivial_inequality_removal,[],[f34]) ).
tff(f34,plain,
( ( $true = sK2 )
| ( $true != sK1 )
| ( $true != $true ) ),
inference(definition_unfolding,[],[f12,f28]) ).
tff(f28,plain,
$true = sK0,
inference(cnf_transformation,[],[f11]) ).
tff(f11,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(skolemisation,[status(esa),new_symbols(skolem,[sK0,sK1,sK2,sK3,sK4,sK5,sK6,sK7,sK8,sK9,sK10])],[f9,f10]) ).
tff(f10,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) ) ) )
=> ( ( ( $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 ) ) ) ),
introduced(choice_axiom,[]) ).
tff(f9,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,[],[f8]) ).
tff(f8,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,[],[f7]) ).
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 != (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,[],[f6]) ).
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 != (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,[],[f5]) ).
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] :
( ( ( ( ~ (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(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,[],[f1]) ).
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/sandbox/benchmark/theBenchmark.p',cPORKCHOP2) ).
tff(f12,plain,
( ( $true = sK2 )
| ( $true != sK1 )
| ( $true != sK0 ) ),
inference(cnf_transformation,[],[f11]) ).
tff(f91,plain,
( ~ spl11_6
| spl11_3
| spl11_5 ),
inference(avatar_split_clause,[],[f13,f59,f51,f63]) ).
tff(f63,plain,
( spl11_6
<=> ( $true = sK3 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl11_6])]) ).
tff(f51,plain,
( spl11_3
<=> ( $true = sK4 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl11_3])]) ).
tff(f13,plain,
( ( $true = sK2 )
| ( $true = sK4 )
| ( $true != sK3 ) ),
inference(cnf_transformation,[],[f11]) ).
tff(f90,plain,
( spl11_4
| ~ spl11_8
| ~ spl11_5
| spl11_1 ),
inference(avatar_split_clause,[],[f14,f42,f59,f73,f55]) ).
tff(f55,plain,
( spl11_4
<=> ( $true = sK8 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl11_4])]) ).
tff(f73,plain,
( spl11_8
<=> ( $true = sK6 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl11_8])]) ).
tff(f42,plain,
( spl11_1
<=> ( $true = sK7 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl11_1])]) ).
tff(f14,plain,
( ( $true = sK7 )
| ( $true != sK2 )
| ( $true != sK6 )
| ( $true = sK8 ) ),
inference(cnf_transformation,[],[f11]) ).
tff(f89,plain,
( spl11_6
| spl11_9
| spl11_3 ),
inference(avatar_split_clause,[],[f15,f51,f77,f63]) ).
tff(f15,plain,
( ( $true = sK4 )
| ( $true = sK1 )
| ( $true = sK3 ) ),
inference(cnf_transformation,[],[f11]) ).
tff(f88,plain,
( ~ spl11_4
| ~ spl11_2
| spl11_7 ),
inference(avatar_split_clause,[],[f16,f68,f46,f55]) ).
tff(f46,plain,
( spl11_2
<=> ( $true = sK9 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl11_2])]) ).
tff(f68,plain,
( spl11_7
<=> ( $true = sK10 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl11_7])]) ).
tff(f16,plain,
( ( $true = sK10 )
| ( $true != sK9 )
| ( $true != sK8 ) ),
inference(cnf_transformation,[],[f11]) ).
tff(f87,plain,
( ~ spl11_3
| spl11_8
| spl11_1
| spl11_9 ),
inference(avatar_split_clause,[],[f17,f77,f42,f73,f51]) ).
tff(f17,plain,
( ( $true = sK1 )
| ( $true = sK7 )
| ( $true = sK6 )
| ( $true != sK4 ) ),
inference(cnf_transformation,[],[f11]) ).
tff(f86,plain,
( ~ spl11_5
| spl11_7 ),
inference(avatar_split_clause,[],[f36,f68,f59]) ).
tff(f36,plain,
( ( $true = sK10 )
| ( $true != sK2 ) ),
inference(trivial_inequality_removal,[],[f33]) ).
tff(f33,plain,
( ( $true = sK10 )
| ( $true != sK2 )
| ( $true != $true ) ),
inference(definition_unfolding,[],[f18,f28]) ).
tff(f18,plain,
( ( $true = sK10 )
| ( $true != sK2 )
| ( $true != sK0 ) ),
inference(cnf_transformation,[],[f11]) ).
tff(f85,plain,
( spl11_4
| ~ spl11_6
| spl11_8
| ~ spl11_5 ),
inference(avatar_split_clause,[],[f37,f59,f73,f63,f55]) ).
tff(f37,plain,
( ( $true != sK2 )
| ( $true = sK6 )
| ( $true != sK3 )
| ( $true = sK8 ) ),
inference(trivial_inequality_removal,[],[f32]) ).
tff(f32,plain,
( ( $true != sK2 )
| ( $true = sK6 )
| ( $true != sK3 )
| ( $true = sK8 )
| ( $true != $true ) ),
inference(definition_unfolding,[],[f19,f27]) ).
tff(f27,plain,
$true = sK5,
inference(cnf_transformation,[],[f11]) ).
tff(f19,plain,
( ( $true != sK2 )
| ( $true = sK6 )
| ( $true != sK3 )
| ( $true = sK8 )
| ( $true != sK5 ) ),
inference(cnf_transformation,[],[f11]) ).
tff(f84,plain,
( spl11_6
| spl11_3
| spl11_4 ),
inference(avatar_split_clause,[],[f20,f55,f51,f63]) ).
tff(f20,plain,
( ( $true = sK8 )
| ( $true = sK4 )
| ( $true = sK3 ) ),
inference(cnf_transformation,[],[f11]) ).
tff(f83,plain,
( ~ spl11_4
| ~ spl11_5 ),
inference(avatar_split_clause,[],[f39,f59,f55]) ).
tff(f39,plain,
( ( $true != sK2 )
| ( $true != sK8 ) ),
inference(trivial_inequality_removal,[],[f38]) ).
tff(f38,plain,
( ( $true != sK2 )
| ( $true != $true )
| ( $true != sK8 ) ),
inference(duplicate_literal_removal,[],[f31]) ).
tff(f31,plain,
( ( $true != sK2 )
| ( $true != $true )
| ( $true != $true )
| ( $true != sK8 ) ),
inference(definition_unfolding,[],[f21,f27,f28]) ).
tff(f21,plain,
( ( $true != sK2 )
| ( $true != sK5 )
| ( $true != sK0 )
| ( $true != sK8 ) ),
inference(cnf_transformation,[],[f11]) ).
tff(f82,plain,
( ~ spl11_3
| ~ spl11_7 ),
inference(avatar_split_clause,[],[f40,f68,f51]) ).
tff(f40,plain,
( ( $true != sK10 )
| ( $true != sK4 ) ),
inference(trivial_inequality_removal,[],[f30]) ).
tff(f30,plain,
( ( $true != sK10 )
| ( $true != $true )
| ( $true != sK4 ) ),
inference(definition_unfolding,[],[f22,f27]) ).
tff(f22,plain,
( ( $true != sK10 )
| ( $true != sK5 )
| ( $true != sK4 ) ),
inference(cnf_transformation,[],[f11]) ).
tff(f81,plain,
( ~ spl11_6
| spl11_4
| spl11_5
| ~ spl11_2 ),
inference(avatar_split_clause,[],[f23,f46,f59,f55,f63]) ).
tff(f23,plain,
( ( $true != sK9 )
| ( $true = sK2 )
| ( $true = sK8 )
| ( $true != sK3 ) ),
inference(cnf_transformation,[],[f11]) ).
tff(f80,plain,
( ~ spl11_8
| spl11_9
| spl11_1
| spl11_7 ),
inference(avatar_split_clause,[],[f24,f68,f42,f77,f73]) ).
tff(f24,plain,
( ( $true = sK10 )
| ( $true = sK7 )
| ( $true = sK1 )
| ( $true != sK6 ) ),
inference(cnf_transformation,[],[f11]) ).
tff(f71,plain,
( ~ spl11_6
| ~ spl11_2
| spl11_3
| ~ spl11_7 ),
inference(avatar_split_clause,[],[f25,f68,f51,f46,f63]) ).
tff(f25,plain,
( ( $true != sK10 )
| ( $true = sK4 )
| ( $true != sK9 )
| ( $true != sK3 ) ),
inference(cnf_transformation,[],[f11]) ).
tff(f66,plain,
( ~ spl11_3
| spl11_4
| spl11_5
| spl11_6 ),
inference(avatar_split_clause,[],[f26,f63,f59,f55,f51]) ).
tff(f26,plain,
( ( $true = sK3 )
| ( $true = sK2 )
| ( $true = sK8 )
| ( $true != sK4 ) ),
inference(cnf_transformation,[],[f11]) ).
tff(f49,plain,
( ~ spl11_1
| spl11_2 ),
inference(avatar_split_clause,[],[f29,f46,f42]) ).
tff(f29,plain,
( ( $true = sK9 )
| ( $true != sK7 ) ),
inference(cnf_transformation,[],[f11]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.05/0.11 % Problem : SYO180_8 : TPTP v8.1.2. Released v8.0.0.
% 0.05/0.13 % Command : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% 0.10/0.33 % Computer : n012.cluster.edu
% 0.10/0.33 % Model : x86_64 x86_64
% 0.10/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.33 % Memory : 8042.1875MB
% 0.10/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.10/0.33 % CPULimit : 300
% 0.10/0.33 % WCLimit : 300
% 0.10/0.33 % DateTime : Tue Apr 30 00:18:26 EDT 2024
% 0.10/0.33 % CPUTime :
% 0.10/0.33 % (30555)Running in auto input_syntax mode. Trying TPTP
% 0.10/0.35 % (30562)fmb+10_1_fmbas=off:fmbsr=1.3:nm=2:si=on:rtra=on:rawr=on:rp=on:fmbksg=on_1451 on theBenchmark for (1451ds/0Mi)
% 0.10/0.35 % (30561)dis+11_4:5_nm=4_216 on theBenchmark for (216ds/0Mi)
% 0.10/0.35 % (30559)fmb+10_1_bce=on:fmbas=expand:fmbksg=on:fmbsr=1.3:gsp=on:nm=4_470 on theBenchmark for (470ds/0Mi)
% 0.10/0.35 % (30560)dis+1_20_av=off:lcm=predicate:nm=2:nwc=2.0_396 on theBenchmark for (396ds/0Mi)
% 0.10/0.35 % (30561)First to succeed.
% 0.10/0.35 Detected minimum model sizes of [1]
% 0.10/0.35 Detected minimum model sizes of [1]
% 0.10/0.35 Detected maximum model sizes of [11]
% 0.10/0.35 Detected maximum model sizes of [11]
% 0.10/0.35 TRYING [1]
% 0.10/0.35 TRYING [1]
% 0.10/0.35 TRYING [2]
% 0.10/0.35 TRYING [2]
% 0.10/0.35 TRYING [3]
% 0.10/0.35 TRYING [3]
% 0.10/0.35 TRYING [4]
% 0.10/0.35 TRYING [4]
% 0.10/0.35 TRYING [5]
% 0.10/0.35 TRYING [5]
% 0.10/0.35 % (30561)Refutation found. Thanks to Tanya!
% 0.10/0.35 % SZS status Theorem for theBenchmark
% 0.10/0.35 % SZS output start Proof for theBenchmark
% See solution above
% 0.10/0.35 % (30561)------------------------------
% 0.10/0.35 % (30561)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.10/0.35 % (30561)Termination reason: Refutation
% 0.10/0.35
% 0.10/0.35 % (30561)Memory used [KB]: 760
% 0.10/0.35 % (30561)Time elapsed: 0.005 s
% 0.10/0.35 % (30561)Instructions burned: 8 (million)
% 0.10/0.35 % (30561)------------------------------
% 0.10/0.35 % (30561)------------------------------
% 0.10/0.35 % (30555)Success in time 0.018 s
%------------------------------------------------------------------------------