%------------------------------------------------------------------------------
% File : DT2H2X---1.9.5
% Problem : SYO180^5 : TPTP v9.2.1. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : /export/starexec/sandbox/solver/bin/run_DT2H2X /export/starexec/sandbox/benchmark/theBenchmark.p 300
% Computer : n013.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 : Wed Feb 25 09:53:35 AM UTC 2026
% Result : Theorem 1.65s 1.30s
% Output : Refutation 1.65s
% Verified :
% SZS Type : Refutation
% Derivation depth : 14
% Number of leaves : 11
% Syntax : Number of formulae : 65 ( 3 unt; 0 typ; 9 def)
% Number of atoms : 1404 ( 564 equ)
% Maximal formula atoms : 116 ( 21 avg)
% Number of connectives : 1095 ( 362 ~; 336 |; 302 &)
% ( 9 <=>; 86 =>; 0 <=; 0 <~>)
% Maximal formula depth : 34 ( 8 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of FOOLs : 1302 ( 780 fml; 522 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 : 99 ( 55 !; 44 ?; 99 :)
% Comments :
%------------------------------------------------------------------------------
tff(f93,plain,
$false,
inference(avatar_sat_refutation,[status(thm)],[f49,f62,f71,f76,f77,f78,f83,f84,f85,f86,f87,f88,f89,f90,f91,f92]) ).
tff(f92,plain,
( spl11_5
| spl11_7
| ~ spl11_1
| ~ spl11_8 ),
inference(avatar_split_clause,[status(thm)],[f25,f73,f42,f68,f59]) ).
tff(f59,definition,
( spl11_5
<=> ( sK8 = $true ) ),
introduced(definition,[new_symbols(naming,[spl11_5])],[avatar_definition]) ).
tff(f68,definition,
( spl11_7
<=> ( $true = sK4 ) ),
introduced(definition,[new_symbols(naming,[spl11_7])],[avatar_definition]) ).
tff(f42,definition,
( spl11_1
<=> ( $true = sK6 ) ),
introduced(definition,[new_symbols(naming,[spl11_1])],[avatar_definition]) ).
tff(f73,definition,
( spl11_8
<=> ( $true = sK3 ) ),
introduced(definition,[new_symbols(naming,[spl11_8])],[avatar_definition]) ).
tff(f25,plain,
( ( $true != sK6 )
| ( $true = sK4 )
| ( $true != sK3 )
| ( sK8 = $true ) ),
inference(cnf_transformation,[status(thm)],[f11]) ).
tff(f11,plain,
( ( ( $true != sK10 )
| ( $true = sK6 )
| ( $true = sK5 ) )
& ( ( $true = sK9 )
| ( $true != sK6 )
| ( sK2 != $true ) )
& ( ( $true = sK10 )
| ( $true = sK5 )
| ( $true = sK7 ) )
& ( ( $true = sK10 )
| ( sK8 = $true )
| ( $true = sK5 ) )
& ( ( sK8 = $true )
| ( $true != sK3 )
| ( $true != sK6 )
| ( $true = sK4 ) )
& ( ( $true != sK10 )
| ( $true = sK5 )
| ( sK0 != $true )
| ( $true != sK9 ) )
& ( ( $true != sK5 )
| ( $true = sK6 )
| ( $true = sK10 )
| ( sK8 = $true ) )
& ( ( sK8 = $true )
| ( sK0 != $true )
| ( $true != sK10 )
| ( $true = sK6 ) )
& ( sK1 = $true )
& ( ( $true != sK9 )
| ( $true != sK5 )
| ( sK1 != $true ) )
& ( ( sK1 != $true )
| ( sK8 != $true )
| ( $true != sK6 )
| ( sK2 != $true ) )
& ( ( $true = sK7 )
| ( $true = sK4 )
| ( $true = sK9 )
| ( $true != sK3 ) )
& ( sK2 = $true )
& ( ( $true = sK6 )
| ( sK2 != $true )
| ( $true != sK7 ) )
& ( ( $true != sK4 )
| ( sK0 = $true ) )
& ( ( $true != sK6 )
| ( $true != sK10 )
| ( sK8 = $true )
| ( sK1 != $true )
| ( $true = sK3 ) )
& ( ( sK0 != $true )
| ( $true = sK9 )
| ( sK8 != $true ) )
& ( ( $true != sK5 )
| ( $true = sK7 )
| ( $true = sK3 )
| ( $true = sK4 ) ) ),
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 != (X10) )
| ( $true = (X6) )
| ( $true = (X5) ) )
& ( ( $true = (X9) )
| ( $true != (X6) )
| ( $true != (X2) ) )
& ( ( $true = (X10) )
| ( $true = (X5) )
| ( $true = (X7) ) )
& ( ( $true = (X10) )
| ( $true = (X8) )
| ( $true = (X5) ) )
& ( ( $true = (X8) )
| ( $true != (X3) )
| ( $true != (X6) )
| ( $true = (X4) ) )
& ( ( $true != (X10) )
| ( $true = (X5) )
| ( $true != (X0) )
| ( $true != (X9) ) )
& ( ( $true != (X5) )
| ( $true = (X6) )
| ( $true = (X10) )
| ( $true = (X8) ) )
& ( ( $true = (X8) )
| ( $true != (X0) )
| ( $true != (X10) )
| ( $true = (X6) ) )
& ( $true = (X1) )
& ( ( $true != (X9) )
| ( $true != (X5) )
| ( $true != (X1) ) )
& ( ( $true != (X1) )
| ( $true != (X8) )
| ( $true != (X6) )
| ( $true != (X2) ) )
& ( ( $true = (X7) )
| ( $true = (X4) )
| ( $true = (X9) )
| ( $true != (X3) ) )
& ( $true = (X2) )
& ( ( $true = (X6) )
| ( $true != (X2) )
| ( $true != (X7) ) )
& ( ( $true != (X4) )
| ( $true = (X0) ) )
& ( ( $true != (X6) )
| ( $true != (X10) )
| ( $true = (X8) )
| ( $true != (X1) )
| ( $true = (X3) ) )
& ( ( $true != (X0) )
| ( $true = (X9) )
| ( $true != (X8) ) )
& ( ( $true != (X5) )
| ( $true = (X7) )
| ( $true = (X3) )
| ( $true = (X4) ) ) )
=> ( ( ( $true != sK10 )
| ( $true = sK6 )
| ( $true = sK5 ) )
& ( ( $true = sK9 )
| ( $true != sK6 )
| ( sK2 != $true ) )
& ( ( $true = sK10 )
| ( $true = sK5 )
| ( $true = sK7 ) )
& ( ( $true = sK10 )
| ( sK8 = $true )
| ( $true = sK5 ) )
& ( ( sK8 = $true )
| ( $true != sK3 )
| ( $true != sK6 )
| ( $true = sK4 ) )
& ( ( $true != sK10 )
| ( $true = sK5 )
| ( sK0 != $true )
| ( $true != sK9 ) )
& ( ( $true != sK5 )
| ( $true = sK6 )
| ( $true = sK10 )
| ( sK8 = $true ) )
& ( ( sK8 = $true )
| ( sK0 != $true )
| ( $true != sK10 )
| ( $true = sK6 ) )
& ( sK1 = $true )
& ( ( $true != sK9 )
| ( $true != sK5 )
| ( sK1 != $true ) )
& ( ( sK1 != $true )
| ( sK8 != $true )
| ( $true != sK6 )
| ( sK2 != $true ) )
& ( ( $true = sK7 )
| ( $true = sK4 )
| ( $true = sK9 )
| ( $true != sK3 ) )
& ( sK2 = $true )
& ( ( $true = sK6 )
| ( sK2 != $true )
| ( $true != sK7 ) )
& ( ( $true != sK4 )
| ( sK0 = $true ) )
& ( ( $true != sK6 )
| ( $true != sK10 )
| ( sK8 = $true )
| ( sK1 != $true )
| ( $true = sK3 ) )
& ( ( sK0 != $true )
| ( $true = sK9 )
| ( sK8 != $true ) )
& ( ( $true != sK5 )
| ( $true = sK7 )
| ( $true = sK3 )
| ( $true = sK4 ) ) ) ),
introduced(definition,[],[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 != (X10) )
| ( $true = (X6) )
| ( $true = (X5) ) )
& ( ( $true = (X9) )
| ( $true != (X6) )
| ( $true != (X2) ) )
& ( ( $true = (X10) )
| ( $true = (X5) )
| ( $true = (X7) ) )
& ( ( $true = (X10) )
| ( $true = (X8) )
| ( $true = (X5) ) )
& ( ( $true = (X8) )
| ( $true != (X3) )
| ( $true != (X6) )
| ( $true = (X4) ) )
& ( ( $true != (X10) )
| ( $true = (X5) )
| ( $true != (X0) )
| ( $true != (X9) ) )
& ( ( $true != (X5) )
| ( $true = (X6) )
| ( $true = (X10) )
| ( $true = (X8) ) )
& ( ( $true = (X8) )
| ( $true != (X0) )
| ( $true != (X10) )
| ( $true = (X6) ) )
& ( $true = (X1) )
& ( ( $true != (X9) )
| ( $true != (X5) )
| ( $true != (X1) ) )
& ( ( $true != (X1) )
| ( $true != (X8) )
| ( $true != (X6) )
| ( $true != (X2) ) )
& ( ( $true = (X7) )
| ( $true = (X4) )
| ( $true = (X9) )
| ( $true != (X3) ) )
& ( $true = (X2) )
& ( ( $true = (X6) )
| ( $true != (X2) )
| ( $true != (X7) ) )
& ( ( $true != (X4) )
| ( $true = (X0) ) )
& ( ( $true != (X6) )
| ( $true != (X10) )
| ( $true = (X8) )
| ( $true != (X1) )
| ( $true = (X3) ) )
& ( ( $true != (X0) )
| ( $true = (X9) )
| ( $true != (X8) ) )
& ( ( $true != (X5) )
| ( $true = (X7) )
| ( $true = (X3) )
| ( $true = (X4) ) ) ),
inference(rectify,[status(thm)],[f8]) ).
tff(f8,plain,
? [X4: $o,X8: $o,X5: $o,X0: $o,X2: $o,X9: $o,X1: $o,X3: $o,X10: $o,X7: $o,X6: $o] :
( ( ( $true != (X6) )
| ( $true = (X1) )
| ( $true = (X9) ) )
& ( ( $true = (X7) )
| ( $true != (X1) )
| ( $true != (X5) ) )
& ( ( $true = (X6) )
| ( $true = (X9) )
| ( $true = (X3) ) )
& ( ( $true = (X6) )
| ( $true = (X10) )
| ( $true = (X9) ) )
& ( ( $true = (X10) )
| ( $true != (X0) )
| ( $true != (X1) )
| ( $true = (X2) ) )
& ( ( $true != (X6) )
| ( $true = (X9) )
| ( $true != (X4) )
| ( $true != (X7) ) )
& ( ( $true != (X9) )
| ( $true = (X1) )
| ( $true = (X6) )
| ( $true = (X10) ) )
& ( ( $true = (X10) )
| ( $true != (X4) )
| ( $true != (X6) )
| ( $true = (X1) ) )
& ( $true = (X8) )
& ( ( $true != (X7) )
| ( $true != (X9) )
| ( $true != (X8) ) )
& ( ( $true != (X8) )
| ( $true != (X10) )
| ( $true != (X1) )
| ( $true != (X5) ) )
& ( ( $true = (X3) )
| ( $true = (X2) )
| ( $true = (X7) )
| ( $true != (X0) ) )
& ( $true = (X5) )
& ( ( $true = (X1) )
| ( $true != (X5) )
| ( $true != (X3) ) )
& ( ( $true != (X2) )
| ( $true = (X4) ) )
& ( ( $true != (X1) )
| ( $true != (X6) )
| ( $true = (X10) )
| ( $true != (X8) )
| ( $true = (X0) ) )
& ( ( $true != (X4) )
| ( $true = (X7) )
| ( $true != (X10) ) )
& ( ( $true != (X9) )
| ( $true = (X3) )
| ( $true = (X0) )
| ( $true = (X2) ) ) ),
inference(flattening,[status(thm)],[f7]) ).
tff(f7,plain,
? [X0: $o,X5: $o,X9: $o,X10: $o,X7: $o,X2: $o,X6: $o,X8: $o,X4: $o,X1: $o,X3: $o] :
( ( ( $true != (X2) )
| ( $true = (X4) ) )
& ( $true = (X5) )
& ( $true = (X8) )
& ( ( $true != (X7) )
| ( $true != (X9) )
| ( $true != (X8) ) )
& ( ( $true = (X3) )
| ( $true != (X9) )
| ( $true = (X0) )
| ( $true = (X2) ) )
& ( ( $true != (X1) )
| ( $true != (X10) )
| ( $true != (X5) )
| ( $true != (X8) ) )
& ( ( $true = (X7) )
| ( $true != (X0) )
| ( $true = (X3) )
| ( $true = (X2) ) )
& ( ( $true = (X1) )
| ( $true = (X9) )
| ( $true != (X6) ) )
& ( ( $true != (X4) )
| ( $true != (X6) )
| ( $true = (X10) )
| ( $true = (X1) ) )
& ( ( $true = (X1) )
| ( $true != (X5) )
| ( $true != (X3) ) )
& ( ( $true = (X10) )
| ( $true = (X6) )
| ( $true = (X9) ) )
& ( ( $true = (X9) )
| ( $true = (X3) )
| ( $true = (X6) ) )
& ( ( $true = (X6) )
| ( $true = (X10) )
| ( $true = (X1) )
| ( $true != (X9) ) )
& ( ( $true != (X1) )
| ( $true != (X8) )
| ( $true = (X0) )
| ( $true != (X6) )
| ( $true = (X10) ) )
& ( ( $true != (X7) )
| ( $true != (X4) )
| ( $true = (X9) )
| ( $true != (X6) ) )
& ( ( $true = (X2) )
| ( $true != (X1) )
| ( $true = (X10) )
| ( $true != (X0) ) )
& ( ( $true = (X7) )
| ( $true != (X5) )
| ( $true != (X1) ) )
& ( ( $true = (X7) )
| ( $true != (X10) )
| ( $true != (X4) ) ) ),
inference(ennf_transformation,[status(thm)],[f6]) ).
tff(f6,plain,
~ ! [X0: $o,X5: $o,X9: $o,X10: $o,X7: $o,X2: $o,X6: $o,X8: $o,X4: $o,X1: $o,X3: $o] :
( ( ( ( ( $true = (X9) )
& ( $true = (X8) ) )
=> ( $true != (X7) ) )
& ( ( ( $true = (X9) )
& ( $true != (X0) )
& ( $true != (X2) ) )
=> ( $true = (X3) ) )
& ( ( ( $true = (X10) )
& ( $true = (X5) )
& ( $true = (X8) ) )
=> ( $true != (X1) ) )
& ( ( ( $true = (X0) )
& ( $true != (X3) )
& ( $true != (X2) ) )
=> ( $true = (X7) ) )
& ( ( ( $true != (X9) )
& ( $true = (X6) ) )
=> ( $true = (X1) ) )
& ( ( ( $true = (X6) )
& ( $true != (X10) )
& ( $true != (X1) ) )
=> ( $true != (X4) ) )
& ( ( ( $true = (X5) )
& ( $true = (X3) ) )
=> ( $true = (X1) ) )
& ( ( ( $true != (X6) )
& ( $true != (X9) ) )
=> ( $true = (X10) ) )
& ( ( ( $true != (X3) )
& ( $true != (X6) ) )
=> ( $true = (X9) ) )
& ( ( ( $true != (X10) )
& ( $true != (X1) )
& ( $true = (X9) ) )
=> ( $true = (X6) ) )
& ( ( ( $true = (X8) )
& ( $true != (X0) )
& ( $true = (X6) )
& ( $true != (X10) ) )
=> ( $true != (X1) ) )
& ( ( ( $true = (X4) )
& ( $true != (X9) )
& ( $true = (X6) ) )
=> ( $true != (X7) ) )
& ( ( ( $true = (X1) )
& ( $true != (X10) )
& ( $true = (X0) ) )
=> ( $true = (X2) ) )
& ( ( ( $true = (X5) )
& ( $true = (X1) ) )
=> ( $true = (X7) ) )
& ( ( ( $true = (X10) )
& ( $true = (X4) ) )
=> ( $true = (X7) ) ) )
=> ( ( ( $true = (X5) )
& ( $true = (X8) ) )
=> ( ( $true = (X2) )
& ( $true != (X4) ) ) ) ),
inference(flattening,[status(thm)],[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] :
( ( ( ( ( $true = (X5) )
& ( $true = (X1) ) )
=> ( $true = (X7) ) )
& ( ( ( $true != (X9) )
& ( $true != (X6) ) )
=> ( $true = (X10) ) )
& ( ( ( $true = (X10) )
& ( $true = (X5) )
& ( $true = (X8) ) )
=> ( $true != (X1) ) )
& ( ( ( $true != (X1) )
& ( $true = (X6) )
& ( $true != (X10) ) )
=> ( $true != (X4) ) )
& ( ( ( $true != (X0) )
& ( $true != (X2) )
& ( $true = (X9) ) )
=> ( $true = (X3) ) )
& ( ( ( $true = (X9) )
& ( $true != (X1) )
& ( $true != (X10) ) )
=> ( $true = (X6) ) )
& ( ( ( $true = (X10) )
& ( $true = (X4) ) )
=> ( $true = (X7) ) )
& ( ( ( $true != (X0) )
& ( $true = (X8) )
& ( $true = (X6) )
& ( $true != (X10) ) )
=> ( $true != (X1) ) )
& ( ( ( $true != (X10) )
& ( $true = (X0) )
& ( $true = (X1) ) )
=> ( $true = (X2) ) )
& ( ( ( $true != (X3) )
& ( $true = (X0) )
& ( $true != (X2) ) )
=> ( $true = (X7) ) )
& ( ( ( $true != (X6) )
& ( $true != (X3) ) )
=> ( $true = (X9) ) )
& ( ( ( $true = (X5) )
& ( $true = (X3) ) )
=> ( $true = (X1) ) )
& ( ( ( $true != (X9) )
& ( $true = (X6) ) )
=> ( $true = (X1) ) )
& ( ( ( $true = (X9) )
& ( $true = (X8) ) )
=> ( $true != (X7) ) )
& ( ( ( $true = (X6) )
& ( $true != (X9) )
& ( $true = (X4) ) )
=> ( $true != (X7) ) ) )
=> ( ( ( $true = (X5) )
& ( $true = (X8) ) )
=> ( ( $true != (X4) )
& ( $true = (X2) ) ) ) ),
inference(fool_elimination,[status(thm)],[f4]) ).
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] :
( ( ( ( (X5)
& (X1) )
=> (X7) )
& ( ( ~ (X9)
& ~ (X6) )
=> (X10) )
& ( ( (X10)
& (X5)
& (X8) )
=> ~ (X1) )
& ( ( ~ (X1)
& (X6)
& ~ (X10) )
=> ~ (X4) )
& ( ( ~ (X0)
& ~ (X2)
& (X9) )
=> (X3) )
& ( ( (X9)
& ~ (X1)
& ~ (X10) )
=> (X6) )
& ( ( (X4)
& (X10) )
=> (X7) )
& ( ( ~ (X0)
& (X8)
& (X6)
& ~ (X10) )
=> ~ (X1) )
& ( ( ~ (X10)
& (X0)
& (X1) )
=> (X2) )
& ( ( ~ (X3)
& (X0)
& ~ (X2) )
=> (X7) )
& ( ( ~ (X6)
& ~ (X3) )
=> (X9) )
& ( ( (X5)
& (X3) )
=> (X1) )
& ( ( ~ (X9)
& (X6) )
=> (X1) )
& ( ( (X9)
& (X8) )
=> ~ (X7) )
& ( ( (X6)
& ~ (X9)
& (X4) )
=> ~ (X7) ) )
=> ( ( (X8)
& (X5) )
=> ( ~ (X4)
& (X2) ) ) ),
inference(rectify,[status(thm)],[f2]) ).
tff(f2,negated_conjecture,
~ ! [X6: $o,X2: $o,X7: $o,X1: $o,X9: $o,X0: $o,X3: $o,X10: $o,X5: $o,X4: $o,X8: $o] :
( ( ( ( (X0)
& (X2) )
=> (X10) )
& ( ( ~ (X4)
& ~ (X3) )
=> (X8) )
& ( ( (X8)
& (X0)
& (X5) )
=> ~ (X2) )
& ( ( ~ (X2)
& (X3)
& ~ (X8) )
=> ~ (X9) )
& ( ( ~ (X6)
& ~ (X7)
& (X4) )
=> (X1) )
& ( ( (X4)
& ~ (X2)
& ~ (X8) )
=> (X3) )
& ( ( (X9)
& (X8) )
=> (X10) )
& ( ( ~ (X6)
& (X5)
& (X3)
& ~ (X8) )
=> ~ (X2) )
& ( ( ~ (X8)
& (X6)
& (X2) )
=> (X7) )
& ( ( ~ (X1)
& (X6)
& ~ (X7) )
=> (X10) )
& ( ( ~ (X3)
& ~ (X1) )
=> (X4) )
& ( ( (X0)
& (X1) )
=> (X2) )
& ( ( ~ (X4)
& (X3) )
=> (X2) )
& ( ( (X4)
& (X5) )
=> ~ (X10) )
& ( ( (X3)
& ~ (X4)
& (X9) )
=> ~ (X10) ) )
=> ( ( (X5)
& (X0) )
=> ( ~ (X9)
& (X7) ) ) ),
inference(negated_conjecture,[status(cth)],[f1]) ).
tff(f1,conjecture,
! [X6: $o,X2: $o,X7: $o,X1: $o,X9: $o,X0: $o,X3: $o,X10: $o,X5: $o,X4: $o,X8: $o] :
( ( ( ( (X0)
& (X2) )
=> (X10) )
& ( ( ~ (X4)
& ~ (X3) )
=> (X8) )
& ( ( (X8)
& (X0)
& (X5) )
=> ~ (X2) )
& ( ( ~ (X2)
& (X3)
& ~ (X8) )
=> ~ (X9) )
& ( ( ~ (X6)
& ~ (X7)
& (X4) )
=> (X1) )
& ( ( (X4)
& ~ (X2)
& ~ (X8) )
=> (X3) )
& ( ( (X9)
& (X8) )
=> (X10) )
& ( ( ~ (X6)
& (X5)
& (X3)
& ~ (X8) )
=> ~ (X2) )
& ( ( ~ (X8)
& (X6)
& (X2) )
=> (X7) )
& ( ( ~ (X1)
& (X6)
& ~ (X7) )
=> (X10) )
& ( ( ~ (X3)
& ~ (X1) )
=> (X4) )
& ( ( (X0)
& (X1) )
=> (X2) )
& ( ( ~ (X4)
& (X3) )
=> (X2) )
& ( ( (X4)
& (X5) )
=> ~ (X10) )
& ( ( (X3)
& ~ (X4)
& (X9) )
=> ~ (X10) ) )
=> ( ( (X5)
& (X0) )
=> ( ~ (X9)
& (X7) ) ) ),
file('/export/starexec/sandbox/tmp/tmp.m1EeXnHreD/DTF2THF_26245.p',cPORKCHOP2) ).
tff(f91,plain,
( spl11_3
| spl11_4
| spl11_2 ),
inference(avatar_split_clause,[status(thm)],[f27,f46,f55,f51]) ).
tff(f51,definition,
( spl11_3
<=> ( $true = sK5 ) ),
introduced(definition,[new_symbols(naming,[spl11_3])],[avatar_definition]) ).
tff(f55,definition,
( spl11_4
<=> ( $true = sK10 ) ),
introduced(definition,[new_symbols(naming,[spl11_4])],[avatar_definition]) ).
tff(f46,definition,
( spl11_2
<=> ( $true = sK7 ) ),
introduced(definition,[new_symbols(naming,[spl11_2])],[avatar_definition]) ).
tff(f27,plain,
( ( $true = sK7 )
| ( $true = sK5 )
| ( $true = sK10 ) ),
inference(cnf_transformation,[status(thm)],[f11]) ).
tff(f90,plain,
( spl11_9
| ~ spl11_1 ),
inference(avatar_split_clause,[status(thm)],[f35,f42,f80]) ).
tff(f80,definition,
( spl11_9
<=> ( $true = sK9 ) ),
introduced(definition,[new_symbols(naming,[spl11_9])],[avatar_definition]) ).
tff(f35,plain,
( ( $true = sK9 )
| ( $true != sK6 ) ),
inference(trivial_inequality_removal,[status(thm)],[f30]) ).
tff(f30,plain,
( ( $true != $true )
| ( $true = sK9 )
| ( $true != sK6 ) ),
inference(definition_unfolding,[status(thm)],[f28,f17]) ).
tff(f17,plain,
sK2 = $true,
inference(cnf_transformation,[status(thm)],[f11]) ).
tff(f28,plain,
( ( $true = sK9 )
| ( $true != sK6 )
| ( sK2 != $true ) ),
inference(cnf_transformation,[status(thm)],[f11]) ).
tff(f89,plain,
( ~ spl11_5
| spl11_9
| ~ spl11_6 ),
inference(avatar_split_clause,[status(thm)],[f13,f64,f80,f59]) ).
tff(f64,definition,
( spl11_6
<=> ( sK0 = $true ) ),
introduced(definition,[new_symbols(naming,[spl11_6])],[avatar_definition]) ).
tff(f13,plain,
( ( $true = sK9 )
| ( sK0 != $true )
| ( sK8 != $true ) ),
inference(cnf_transformation,[status(thm)],[f11]) ).
tff(f88,plain,
( ~ spl11_1
| ~ spl11_5 ),
inference(avatar_split_clause,[status(thm)],[f37,f59,f42]) ).
tff(f37,plain,
( ( sK8 != $true )
| ( $true != sK6 ) ),
inference(trivial_inequality_removal,[status(thm)],[f36]) ).
tff(f36,plain,
( ( $true != $true )
| ( $true != sK6 )
| ( sK8 != $true ) ),
inference(duplicate_literal_removal,[status(thm)],[f32]) ).
tff(f32,plain,
( ( sK8 != $true )
| ( $true != sK6 )
| ( $true != $true )
| ( $true != $true ) ),
inference(definition_unfolding,[status(thm)],[f19,f21,f17]) ).
tff(f21,plain,
sK1 = $true,
inference(cnf_transformation,[status(thm)],[f11]) ).
tff(f19,plain,
( ( sK1 != $true )
| ( sK8 != $true )
| ( $true != sK6 )
| ( sK2 != $true ) ),
inference(cnf_transformation,[status(thm)],[f11]) ).
tff(f87,plain,
( spl11_1
| spl11_5
| ~ spl11_4
| ~ spl11_6 ),
inference(avatar_split_clause,[status(thm)],[f22,f64,f55,f59,f42]) ).
tff(f22,plain,
( ( $true != sK10 )
| ( $true = sK6 )
| ( sK0 != $true )
| ( sK8 = $true ) ),
inference(cnf_transformation,[status(thm)],[f11]) ).
tff(f86,plain,
( ~ spl11_6
| ~ spl11_4
| spl11_3
| ~ spl11_9 ),
inference(avatar_split_clause,[status(thm)],[f24,f80,f51,f55,f64]) ).
tff(f24,plain,
( ( $true != sK9 )
| ( $true = sK5 )
| ( $true != sK10 )
| ( sK0 != $true ) ),
inference(cnf_transformation,[status(thm)],[f11]) ).
tff(f85,plain,
( spl11_3
| spl11_1
| ~ spl11_4 ),
inference(avatar_split_clause,[status(thm)],[f29,f55,f42,f51]) ).
tff(f29,plain,
( ( $true != sK10 )
| ( $true = sK6 )
| ( $true = sK5 ) ),
inference(cnf_transformation,[status(thm)],[f11]) ).
tff(f84,plain,
( spl11_9
| spl11_2
| spl11_7
| ~ spl11_8 ),
inference(avatar_split_clause,[status(thm)],[f18,f73,f68,f46,f80]) ).
tff(f18,plain,
( ( $true = sK9 )
| ( $true != sK3 )
| ( $true = sK7 )
| ( $true = sK4 ) ),
inference(cnf_transformation,[status(thm)],[f11]) ).
tff(f83,plain,
( ~ spl11_3
| ~ spl11_9 ),
inference(avatar_split_clause,[status(thm)],[f38,f80,f51]) ).
tff(f38,plain,
( ( $true != sK5 )
| ( $true != sK9 ) ),
inference(trivial_inequality_removal,[status(thm)],[f31]) ).
tff(f31,plain,
( ( $true != sK9 )
| ( $true != $true )
| ( $true != sK5 ) ),
inference(definition_unfolding,[status(thm)],[f20,f21]) ).
tff(f20,plain,
( ( $true != sK9 )
| ( $true != sK5 )
| ( sK1 != $true ) ),
inference(cnf_transformation,[status(thm)],[f11]) ).
tff(f78,plain,
( spl11_8
| spl11_7
| ~ spl11_3
| spl11_2 ),
inference(avatar_split_clause,[status(thm)],[f12,f46,f51,f68,f73]) ).
tff(f12,plain,
( ( $true = sK3 )
| ( $true = sK7 )
| ( $true != sK5 )
| ( $true = sK4 ) ),
inference(cnf_transformation,[status(thm)],[f11]) ).
tff(f77,plain,
( spl11_3
| spl11_5
| spl11_4 ),
inference(avatar_split_clause,[status(thm)],[f26,f55,f59,f51]) ).
tff(f26,plain,
( ( $true = sK10 )
| ( $true = sK5 )
| ( sK8 = $true ) ),
inference(cnf_transformation,[status(thm)],[f11]) ).
tff(f76,plain,
( spl11_5
| ~ spl11_1
| spl11_8
| ~ spl11_4 ),
inference(avatar_split_clause,[status(thm)],[f39,f55,f73,f42,f59]) ).
tff(f39,plain,
( ( $true = sK3 )
| ( sK8 = $true )
| ( $true != sK6 )
| ( $true != sK10 ) ),
inference(trivial_inequality_removal,[status(thm)],[f34]) ).
tff(f34,plain,
( ( $true != $true )
| ( sK8 = $true )
| ( $true = sK3 )
| ( $true != sK10 )
| ( $true != sK6 ) ),
inference(definition_unfolding,[status(thm)],[f14,f21]) ).
tff(f14,plain,
( ( $true != sK6 )
| ( $true != sK10 )
| ( sK8 = $true )
| ( sK1 != $true )
| ( $true = sK3 ) ),
inference(cnf_transformation,[status(thm)],[f11]) ).
tff(f71,plain,
( spl11_6
| ~ spl11_7 ),
inference(avatar_split_clause,[status(thm)],[f15,f68,f64]) ).
tff(f15,plain,
( ( sK0 = $true )
| ( $true != sK4 ) ),
inference(cnf_transformation,[status(thm)],[f11]) ).
tff(f62,plain,
( ~ spl11_3
| spl11_4
| spl11_1
| spl11_5 ),
inference(avatar_split_clause,[status(thm)],[f23,f59,f42,f55,f51]) ).
tff(f23,plain,
( ( sK8 = $true )
| ( $true = sK10 )
| ( $true = sK6 )
| ( $true != sK5 ) ),
inference(cnf_transformation,[status(thm)],[f11]) ).
tff(f49,plain,
( spl11_1
| ~ spl11_2 ),
inference(avatar_split_clause,[status(thm)],[f40,f46,f42]) ).
tff(f40,plain,
( ( $true != sK7 )
| ( $true = sK6 ) ),
inference(trivial_inequality_removal,[status(thm)],[f33]) ).
tff(f33,plain,
( ( $true != $true )
| ( $true != sK7 )
| ( $true = sK6 ) ),
inference(definition_unfolding,[status(thm)],[f16,f17]) ).
tff(f16,plain,
( ( $true = sK6 )
| ( sK2 != $true )
| ( $true != sK7 ) ),
inference(cnf_transformation,[status(thm)],[f11]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : SYO180^5 : TPTP v9.2.1. Released v4.0.0.
% 0.12/0.13 % Command : /export/starexec/sandbox/solver/bin/run_DT2H2X /export/starexec/sandbox/benchmark/theBenchmark.p 300
% 0.16/0.34 % Computer : n013.cluster.edu
% 0.16/0.34 % Model : x86_64 x86_64
% 0.16/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.16/0.34 % Memory : 8042.1875MB
% 0.16/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.16/0.34 % CPULimit : 300
% 0.16/0.34 % WCLimit : 300
% 0.16/0.34 % DateTime : Tue Feb 24 14:25:08 EST 2026
% 0.16/0.34 % CPUTime :
% 0.16/0.34 Running /export/starexec/sandbox/solver/bin/run_DT2H2X /export/starexec/sandbox/benchmark/theBenchmark.p 300
% 0.31/0.46 ---- Original DTF file ---
% 0.31/0.46 thf(spec,logic,$$dhol).
% 0.31/0.46 %------------------------------------------------------------------------------
% 0.31/0.46 % File : SYO180^5 : TPTP v9.2.1. Released v4.0.0.
% 0.31/0.46 % Domain : Syntactic
% 0.31/0.46 % Problem : TPS problem from BASIC-FO-THMS
% 0.31/0.46 % Version : Especial.
% 0.31/0.46 % English :
% 0.31/0.46
% 0.31/0.46 % Refs : [Bro09] Brown (2009), Email to Geoff Sutcliffe
% 0.31/0.46 % Source : [Bro09]
% 0.31/0.46 % Names : tps_1177 [Bro09]
% 0.31/0.46
% 0.31/0.46 % Status : Theorem
% 0.31/0.46 % Rating : 0.25 v8.2.0, 0.27 v8.1.0, 0.25 v7.4.0, 0.33 v7.3.0, 0.30 v7.2.0, 0.38 v7.1.0, 0.43 v7.0.0, 0.38 v6.4.0, 0.43 v6.3.0, 0.50 v6.0.0, 0.33 v5.5.0, 0.20 v5.4.0, 0.25 v5.2.0, 0.00 v4.1.0, 0.33 v4.0.0
% 0.31/0.46 % Syntax : Number of formulae : 1 ( 0 unt; 0 typ; 0 def)
% 0.31/0.46 % Number of atoms : 0 ( 0 equ; 0 cnn)
% 0.31/0.46 % Maximal formula atoms : 0 ( 0 avg)
% 0.31/0.46 % Number of connectives : 80 ( 23 ~; 0 |; 40 &; 0 @)
% 0.31/0.46 % ( 0 <=>; 17 =>; 0 <=; 0 <~>)
% 0.31/0.46 % Maximal formula depth : 31 ( 31 avg)
% 0.31/0.46 % Number of types : 1 ( 0 usr)
% 0.31/0.46 % Number of type conns : 0 ( 0 >; 0 *; 0 +; 0 <<)
% 0.31/0.46 % Number of symbols : 0 ( 0 usr; 0 con; --- aty)
% 0.31/0.46 % Number of variables : 11 ( 0 ^; 11 !; 0 ?; 11 :)
% 0.31/0.46 % SPC : TH0_THM_NEQ_NAR
% 0.31/0.46
% 0.31/0.46 % Comments : This problem is from the TPS library. Copyright (c) 2009 The TPS
% 0.31/0.46 % project in the Department of Mathematical Sciences at Carnegie
% 0.31/0.46 % Mellon University. Distributed under the Creative Commons copyleft
% 0.31/0.46 % license: http://creativecommons.org/licenses/by-sa/3.0/
% 0.31/0.46 %------------------------------------------------------------------------------
% 0.31/0.46 thf(cPORKCHOP2,conjecture,
% 0.31/0.46 ! [L: $o,P: $o,M: $o,G: $o,R: $o,E: $o,N: $o,F: $o,K: $o,B: $o,C: $o] :
% 0.31/0.46 ( ( ( ( L
% 0.31/0.46 & P )
% 0.31/0.46 => M )
% 0.31/0.46 & ( ( G
% 0.31/0.46 & ~ R )
% 0.31/0.46 => M )
% 0.31/0.46 & ( ( ~ K
% 0.31/0.46 & N
% 0.31/0.46 & M )
% 0.31/0.46 => F )
% 0.31/0.46 & ( ( ~ G
% 0.31/0.46 & ~ P )
% 0.31/0.46 => R )
% 0.31/0.46 & ( ( K
% 0.31/0.46 & B )
% 0.31/0.46 => C )
% 0.31/0.46 & ( ( R
% 0.31/0.46 & ~ N
% 0.31/0.46 & ~ F )
% 0.31/0.46 => P )
% 0.31/0.46 & ( ( L
% 0.31/0.46 & M )
% 0.31/0.46 => C )
% 0.31/0.46 & ( ( E
% 0.31/0.46 & ~ K
% 0.31/0.46 & G
% 0.31/0.46 & ~ N )
% 0.31/0.46 => ~ M )
% 0.31/0.46 & ( ( ~ G
% 0.31/0.46 & ~ R )
% 0.31/0.46 => K )
% 0.31/0.46 & ( ( K
% 0.31/0.46 & L
% 0.31/0.46 & E )
% 0.31/0.46 => ~ M )
% 0.31/0.46 & ( ( R
% 0.31/0.46 & E )
% 0.31/0.46 => ~ C )
% 0.31/0.46 & ( ( G
% 0.31/0.46 & ~ K
% 0.31/0.46 & ~ M )
% 0.31/0.46 => ~ B )
% 0.31/0.46 & ( ( N
% 0.31/0.46 & ~ P
% 0.31/0.46 & ~ F )
% 0.31/0.46 => C )
% 0.31/0.46 & ( ( G
% 0.31/0.46 & B
% 0.31/0.46 & ~ R )
% 0.31/0.46 => ~ C )
% 0.31/0.46 & ( ( R
% 0.31/0.46 & ~ K
% 0.31/0.46 & ~ M )
% 0.31/0.46 => G ) )
% 0.31/0.46 => ( ( E
% 0.31/0.46 & L )
% 0.31/0.46 => ( F
% 0.31/0.46 & ~ B ) ) ) ).
% 0.31/0.46
% 0.31/0.46 %------------------------------------------------------------------------------
% 0.31/0.46 ------------------------
% 1.51/1.26 ---- Embedded in THF ---
% 1.51/1.27 %%% This output was generated by embedproblem, version 1.9.5 (library version 1.9).
% 1.51/1.27 %%% Generated on Tue Feb 24 14:25:09 EST 2026
% 1.51/1.27 %%% using '$$dhol' embedding, version 1.3.0.
% 1.51/1.27 %%% Logic specification used:
% 1.51/1.27 %%% thf(spec, logic, $$dhol).
% 1.51/1.27
% 1.51/1.27 % SZS output start ListOfTHF for /export/starexec/sandbox/tmp/tmp.m1EeXnHreD/DTF2DTF26245.p
% See solution above
% 1.51/1.27 ------------------------
% 1.51/1.28 ---- Cleaned THF ---
% 1.51/1.28 thf(cPORKCHOP2,conjecture,
% 1.51/1.28 ! [L: $o,P: $o,M: $o,G: $o,R: $o,E: $o,N: $o,F: $o,K: $o,B: $o,C: $o] :
% 1.51/1.28 ( ( ( ( L
% 1.51/1.28 & P )
% 1.51/1.28 => M )
% 1.51/1.28 & ( ( G
% 1.51/1.28 & ~ R )
% 1.51/1.28 => M )
% 1.51/1.28 & ( ( ~ K
% 1.51/1.28 & N
% 1.51/1.28 & M )
% 1.51/1.28 => F )
% 1.51/1.28 & ( ( ~ G
% 1.51/1.28 & ~ P )
% 1.51/1.28 => R )
% 1.51/1.28 & ( ( K
% 1.51/1.28 & B )
% 1.51/1.28 => C )
% 1.51/1.28 & ( ( R
% 1.51/1.28 & ~ N
% 1.51/1.28 & ~ F )
% 1.51/1.28 => P )
% 1.51/1.28 & ( ( L
% 1.51/1.28 & M )
% 1.51/1.28 => C )
% 1.51/1.28 & ( ( E
% 1.51/1.28 & ~ K
% 1.51/1.28 & G
% 1.51/1.28 & ~ N )
% 1.51/1.28 => ~ M )
% 1.51/1.28 & ( ( ~ G
% 1.51/1.28 & ~ R )
% 1.51/1.28 => K )
% 1.51/1.28 & ( ( K
% 1.51/1.28 & L
% 1.51/1.28 & E )
% 1.51/1.28 => ~ M )
% 1.51/1.28 & ( ( R
% 1.51/1.28 & E )
% 1.51/1.28 => ~ C )
% 1.51/1.28 & ( ( G
% 1.51/1.28 & ~ K
% 1.51/1.28 & ~ M )
% 1.51/1.28 => ~ B )
% 1.51/1.28 & ( ( N
% 1.51/1.28 & ~ P
% 1.51/1.28 & ~ F )
% 1.51/1.28 => C )
% 1.51/1.28 & ( ( G
% 1.51/1.28 & B
% 1.51/1.28 & ~ R )
% 1.51/1.28 => ~ C )
% 1.51/1.28 & ( ( R
% 1.51/1.28 & ~ K
% 1.51/1.28 & ~ M )
% 1.51/1.28 => G ) )
% 1.51/1.28 => ( ( E
% 1.51/1.28 & L )
% 1.51/1.28 => ( F
% 1.51/1.28 & ~ B ) ) ) ).
% 1.51/1.28 ------------------------
% 1.51/1.29 % (26530)lrs+1002_1:128_aac=none:au=on:cnfonf=lazy_not_gen_be_off:sos=all:i=2:si=on:rtra=on_0 on DTF2THF_26245 for (2999ds/2Mi)
% 1.51/1.29 % (26530)Instruction limit reached!
% 1.51/1.29 % (26530)------------------------------
% 1.51/1.29 % (26530)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.51/1.29 % (26530)Termination reason: Unknown
% 1.51/1.29 % (26530)Termination phase: Preprocessing 3
% 1.51/1.29
% 1.51/1.29 % (26530)Memory used [KB]: 1023
% 1.51/1.29 % (26530)Time elapsed: 0.002 s
% 1.51/1.29 % (26530)Instructions burned: 2 (million)
% 1.51/1.29 % (26530)------------------------------
% 1.51/1.29 % (26530)------------------------------
% 1.65/1.30 % (26526)lrs+1002_1:8_bd=off:fd=off:hud=10:tnu=1:i=183:si=on:rtra=on_0 on DTF2THF_26245 for (2999ds/183Mi)
% 1.65/1.30 % (26527)lrs+10_1:1_c=on:cnfonf=conj_eager:fd=off:fe=off:kws=frequency:spb=intro:i=4:si=on:rtra=on_0 on DTF2THF_26245 for (2999ds/4Mi)
% 1.65/1.30 % (26528)dis+1010_1:1_au=on:cbe=off:chr=on:fsr=off:hfsq=on:nm=64:sos=theory:sp=weighted_frequency:i=27:si=on:rtra=on_0 on DTF2THF_26245 for (2999ds/27Mi)
% 1.65/1.30 % (26531)lrs+1002_1:1_au=on:bd=off:e2e=on:sd=2:sos=on:ss=axioms:i=275:si=on:rtra=on_0 on DTF2THF_26245 for (2999ds/275Mi)
% 1.65/1.30 % (26532)lrs+1004_1:128_cond=on:e2e=on:sp=weighted_frequency:i=18:si=on:rtra=on_0 on DTF2THF_26245 for (2999ds/18Mi)
% 1.65/1.30 % (26529)lrs+10_1:1_au=on:inj=on:i=2:si=on:rtra=on_0 on DTF2THF_26245 for (2999ds/2Mi)
% 1.65/1.30 % (26529)Instruction limit reached!
% 1.65/1.30 % (26529)------------------------------
% 1.65/1.30 % (26529)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.65/1.30 % (26529)Termination reason: Unknown
% 1.65/1.30 % (26529)Termination phase: Saturation
% 1.65/1.30
% 1.65/1.30 % (26529)Memory used [KB]: 1023
% 1.65/1.30 % (26529)Time elapsed: 0.003 s
% 1.65/1.30 % (26529)Instructions burned: 2 (million)
% 1.65/1.30 % (26529)------------------------------
% 1.65/1.30 % (26529)------------------------------
% 1.65/1.30 % (26527)First to succeed.
% 1.65/1.30 % (26533)lrs+10_1:1_bet=on:cnfonf=off:fd=off:hud=5:inj=on:i=3:si=on:rtra=on_0 on DTF2THF_26245 for (2999ds/3Mi)
% 1.65/1.30 % (26533)Instruction limit reached!
% 1.65/1.30 % (26533)------------------------------
% 1.65/1.30 % (26533)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.65/1.30 % (26533)Termination reason: Unknown
% 1.65/1.30 % (26533)Termination phase: Saturation
% 1.65/1.30
% 1.65/1.30 % (26533)Memory used [KB]: 5500
% 1.65/1.30 % (26533)Time elapsed: 0.002 s
% 1.65/1.30 % (26533)Instructions burned: 3 (million)
% 1.65/1.30 % (26533)------------------------------
% 1.65/1.30 % (26533)------------------------------
% 1.65/1.30 % (26526)Also succeeded, but the first one will report.
% 1.65/1.30 % (26527)Refutation found. Thanks to Tanya!
% 1.65/1.30 % SZS status Theorem for DTF2THF_26245
% 1.65/1.30 % SZS output start Proof for DTF2THF_26245
% 1.65/1.30 tff(f93,plain,(
% 1.65/1.30 $false),
% 1.65/1.30 inference(avatar_sat_refutation,[status(thm)],[f49,f62,f71,f76,f77,f78,f83,f84,f85,f86,f87,f88,f89,f90,f91,f92])).
% 1.65/1.30 tff(f92,plain,(
% 1.65/1.30 spl11_5 | spl11_7 | ~spl11_1 | ~spl11_8),
% 1.65/1.30 inference(avatar_split_clause,[status(thm)],[f25,f73,f42,f68,f59])).
% 1.65/1.30 tff(f59,definition,(
% 1.65/1.30 spl11_5 <=> (sK8 = $true)),
% 1.65/1.30 introduced(definition,[new_symbols(naming,[spl11_5])],[avatar_definition])).
% 1.65/1.30 tff(f68,definition,(
% 1.65/1.30 spl11_7 <=> ($true = sK4)),
% 1.65/1.30 introduced(definition,[new_symbols(naming,[spl11_7])],[avatar_definition])).
% 1.65/1.30 tff(f42,definition,(
% 1.65/1.30 spl11_1 <=> ($true = sK6)),
% 1.65/1.30 introduced(definition,[new_symbols(naming,[spl11_1])],[avatar_definition])).
% 1.65/1.30 tff(f73,definition,(
% 1.65/1.30 spl11_8 <=> ($true = sK3)),
% 1.65/1.30 introduced(definition,[new_symbols(naming,[spl11_8])],[avatar_definition])).
% 1.65/1.30 tff(f25,plain,(
% 1.65/1.30 ($true != sK6) | ($true = sK4) | ($true != sK3) | (sK8 = $true)),
% 1.65/1.30 inference(cnf_transformation,[status(thm)],[f11])).
% 1.65/1.31 tff(f11,plain,(
% 1.65/1.31 (($true != sK10) | ($true = sK6) | ($true = sK5)) & (($true = sK9) | ($true != sK6) | (sK2 != $true)) & (($true = sK10) | ($true = sK5) | ($true = sK7)) & (($true = sK10) | (sK8 = $true) | ($true = sK5)) & ((sK8 = $true) | ($true != sK3) | ($true != sK6) | ($true = sK4)) & (($true != sK10) | ($true = sK5) | (sK0 != $true) | ($true != sK9)) & (($true != sK5) | ($true = sK6) | ($true = sK10) | (sK8 = $true)) & ((sK8 = $true) | (sK0 != $true) | ($true != sK10) | ($true = sK6)) & (sK1 = $true) & (($true != sK9) | ($true != sK5) | (sK1 != $true)) & ((sK1 != $true) | (sK8 != $true) | ($true != sK6) | (sK2 != $true)) & (($true = sK7) | ($true = sK4) | ($true = sK9) | ($true != sK3)) & (sK2 = $true) & (($true = sK6) | (sK2 != $true) | ($true != sK7)) & (($true != sK4) | (sK0 = $true)) & (($true != sK6) | ($true != sK10) | (sK8 = $true) | (sK1 != $true) | ($true = sK3)) & ((sK0 != $true) | ($true = sK9) | (sK8 != $true)) & (($true != sK5) | ($true = sK7) | ($true = sK3) | ($true = sK4))),
% 1.65/1.31 inference(skolemisation,[status(esa),new_symbols(skolem,[sK0,sK1,sK2,sK3,sK4,sK5,sK6,sK7,sK8,sK9,sK10])],[f9,f10])).
% 1.65/1.31 tff(f10,plain,(
% 1.65/1.31 ? [X0 : $o,X1 : $o,X2 : $o,X3 : $o,X4 : $o,X5 : $o,X6 : $o,X7 : $o,X8 : $o,X9 : $o,X10 : $o] : ((($true != X10) | ($true = X6) | ($true = X5)) & (($true = X9) | ($true != X6) | ($true != X2)) & (($true = X10) | ($true = X5) | ($true = X7)) & (($true = X10) | ($true = X8) | ($true = X5)) & (($true = X8) | ($true != X3) | ($true != X6) | ($true = X4)) & (($true != X10) | ($true = X5) | ($true != X0) | ($true != X9)) & (($true != X5) | ($true = X6) | ($true = X10) | ($true = X8)) & (($true = X8) | ($true != X0) | ($true != X10) | ($true = X6)) & ($true = X1) & (($true != X9) | ($true != X5) | ($true != X1)) & (($true != X1) | ($true != X8) | ($true != X6) | ($true != X2)) & (($true = X7) | ($true = X4) | ($true = X9) | ($true != X3)) & ($true = X2) & (($true = X6) | ($true != X2) | ($true != X7)) & (($true != X4) | ($true = X0)) & (($true != X6) | ($true != X10) | ($true = X8) | ($true != X1) | ($true = X3)) & (($true != X0) | ($true = X9) | ($true != X8)) & (($true != X5) | ($true = X7) | ($true = X3) | ($true = X4))) => ((($true != sK10) | ($true = sK6) | ($true = sK5)) & (($true = sK9) | ($true != sK6) | (sK2 != $true)) & (($true = sK10) | ($true = sK5) | ($true = sK7)) & (($true = sK10) | (sK8 = $true) | ($true = sK5)) & ((sK8 = $true) | ($true != sK3) | ($true != sK6) | ($true = sK4)) & (($true != sK10) | ($true = sK5) | (sK0 != $true) | ($true != sK9)) & (($true != sK5) | ($true = sK6) | ($true = sK10) | (sK8 = $true)) & ((sK8 = $true) | (sK0 != $true) | ($true != sK10) | ($true = sK6)) & (sK1 = $true) & (($true != sK9) | ($true != sK5) | (sK1 != $true)) & ((sK1 != $true) | (sK8 != $true) | ($true != sK6) | (sK2 != $true)) & (($true = sK7) | ($true = sK4) | ($true = sK9) | ($true != sK3)) & (sK2 = $true) & (($true = sK6) | (sK2 != $true) | ($true != sK7)) & (($true != sK4) | (sK0 = $true)) & (($true != sK6) | ($true != sK10) | (sK8 = $true) | (sK1 != $true) | ($true = sK3)) & ((sK0 != $true) | ($true = sK9) | (sK8 != $true)) & (($true != sK5) | ($true = sK7) | ($true = sK3) | ($true = sK4)))),
% 1.65/1.31 introduced(definition,[],[choice_axiom])).
% 1.65/1.31 tff(f9,plain,(
% 1.65/1.31 ? [X0 : $o,X1 : $o,X2 : $o,X3 : $o,X4 : $o,X5 : $o,X6 : $o,X7 : $o,X8 : $o,X9 : $o,X10 : $o] : ((($true != X10) | ($true = X6) | ($true = X5)) & (($true = X9) | ($true != X6) | ($true != X2)) & (($true = X10) | ($true = X5) | ($true = X7)) & (($true = X10) | ($true = X8) | ($true = X5)) & (($true = X8) | ($true != X3) | ($true != X6) | ($true = X4)) & (($true != X10) | ($true = X5) | ($true != X0) | ($true != X9)) & (($true != X5) | ($true = X6) | ($true = X10) | ($true = X8)) & (($true = X8) | ($true != X0) | ($true != X10) | ($true = X6)) & ($true = X1) & (($true != X9) | ($true != X5) | ($true != X1)) & (($true != X1) | ($true != X8) | ($true != X6) | ($true != X2)) & (($true = X7) | ($true = X4) | ($true = X9) | ($true != X3)) & ($true = X2) & (($true = X6) | ($true != X2) | ($true != X7)) & (($true != X4) | ($true = X0)) & (($true != X6) | ($true != X10) | ($true = X8) | ($true != X1) | ($true = X3)) & (($true != X0) | ($true = X9) | ($true != X8)) & (($true != X5) | ($true = X7) | ($true = X3) | ($true = X4)))),
% 1.65/1.31 inference(rectify,[status(thm)],[f8])).
% 1.65/1.31 tff(f8,plain,(
% 1.65/1.31 ? [X4 : $o,X8 : $o,X5 : $o,X0 : $o,X2 : $o,X9 : $o,X1 : $o,X3 : $o,X10 : $o,X7 : $o,X6 : $o] : ((($true != X6) | ($true = X1) | ($true = X9)) & (($true = X7) | ($true != X1) | ($true != X5)) & (($true = X6) | ($true = X9) | ($true = X3)) & (($true = X6) | ($true = X10) | ($true = X9)) & (($true = X10) | ($true != X0) | ($true != X1) | ($true = X2)) & (($true != X6) | ($true = X9) | ($true != X4) | ($true != X7)) & (($true != X9) | ($true = X1) | ($true = X6) | ($true = X10)) & (($true = X10) | ($true != X4) | ($true != X6) | ($true = X1)) & ($true = X8) & (($true != X7) | ($true != X9) | ($true != X8)) & (($true != X8) | ($true != X10) | ($true != X1) | ($true != X5)) & (($true = X3) | ($true = X2) | ($true = X7) | ($true != X0)) & ($true = X5) & (($true = X1) | ($true != X5) | ($true != X3)) & (($true != X2) | ($true = X4)) & (($true != X1) | ($true != X6) | ($true = X10) | ($true != X8) | ($true = X0)) & (($true != X4) | ($true = X7) | ($true != X10)) & (($true != X9) | ($true = X3) | ($true = X0) | ($true = X2)))),
% 1.65/1.31 inference(flattening,[status(thm)],[f7])).
% 1.65/1.31 tff(f7,plain,(
% 1.65/1.31 ? [X0 : $o,X5 : $o,X9 : $o,X10 : $o,X7 : $o,X2 : $o,X6 : $o,X8 : $o,X4 : $o,X1 : $o,X3 : $o] : (((($true != X2) | ($true = X4)) & (($true = X5) & ($true = X8))) & ((($true != X7) | (($true != X9) | ($true != X8))) & (($true = X3) | (($true != X9) | ($true = X0) | ($true = X2))) & (($true != X1) | (($true != X10) | ($true != X5) | ($true != X8))) & (($true = X7) | (($true != X0) | ($true = X3) | ($true = X2))) & (($true = X1) | (($true = X9) | ($true != X6))) & (($true != X4) | (($true != X6) | ($true = X10) | ($true = X1))) & (($true = X1) | (($true != X5) | ($true != X3))) & (($true = X10) | (($true = X6) | ($true = X9))) & (($true = X9) | (($true = X3) | ($true = X6))) & (($true = X6) | (($true = X10) | ($true = X1) | ($true != X9))) & (($true != X1) | (($true != X8) | ($true = X0) | ($true != X6) | ($true = X10))) & (($true != X7) | (($true != X4) | ($true = X9) | ($true != X6))) & (($true = X2) | (($true != X1) | ($true = X10) | ($true != X0))) & (($true = X7) | (($true != X5) | ($true != X1))) & (($true = X7) | (($true != X10) | ($true != X4)))))),
% 1.65/1.31 inference(ennf_transformation,[status(thm)],[f6])).
% 1.65/1.31 tff(f6,plain,(
% 1.65/1.31 ~! [X0 : $o,X5 : $o,X9 : $o,X10 : $o,X7 : $o,X2 : $o,X6 : $o,X8 : $o,X4 : $o,X1 : $o,X3 : $o] : ((((($true = X9) & ($true = X8)) => ($true != X7)) & ((($true = X9) & ($true != X0) & ($true != X2)) => ($true = X3)) & ((($true = X10) & ($true = X5) & ($true = X8)) => ($true != X1)) & ((($true = X0) & ($true != X3) & ($true != X2)) => ($true = X7)) & ((($true != X9) & ($true = X6)) => ($true = X1)) & ((($true = X6) & ($true != X10) & ($true != X1)) => ($true != X4)) & ((($true = X5) & ($true = X3)) => ($true = X1)) & ((($true != X6) & ($true != X9)) => ($true = X10)) & ((($true != X3) & ($true != X6)) => ($true = X9)) & ((($true != X10) & ($true != X1) & ($true = X9)) => ($true = X6)) & ((($true = X8) & ($true != X0) & ($true = X6) & ($true != X10)) => ($true != X1)) & ((($true = X4) & ($true != X9) & ($true = X6)) => ($true != X7)) & ((($true = X1) & ($true != X10) & ($true = X0)) => ($true = X2)) & ((($true = X5) & ($true = X1)) => ($true = X7)) & ((($true = X10) & ($true = X4)) => ($true = X7))) => ((($true = X5) & ($true = X8)) => (($true = X2) & ($true != X4))))),
% 1.65/1.31 inference(flattening,[status(thm)],[f5])).
% 1.65/1.31 tff(f5,plain,(
% 1.65/1.31 ~! [X0 : $o,X1 : $o,X2 : $o,X3 : $o,X4 : $o,X5 : $o,X6 : $o,X7 : $o,X8 : $o,X9 : $o,X10 : $o] : ((((($true = X5) & ($true = X1)) => ($true = X7)) & ((~($true = X9) & ~($true = X6)) => ($true = X10)) & ((($true = X10) & ($true = X5) & ($true = X8)) => ~($true = X1)) & ((~($true = X1) & ($true = X6) & ~($true = X10)) => ~($true = X4)) & ((~($true = X0) & ~($true = X2) & ($true = X9)) => ($true = X3)) & ((($true = X9) & ~($true = X1) & ~($true = X10)) => ($true = X6)) & ((($true = X10) & ($true = X4)) => ($true = X7)) & ((~($true = X0) & ($true = X8) & ($true = X6) & ~($true = X10)) => ~($true = X1)) & ((~($true = X10) & ($true = X0) & ($true = X1)) => ($true = X2)) & ((~($true = X3) & ($true = X0) & ~($true = X2)) => ($true = X7)) & ((~($true = X6) & ~($true = X3)) => ($true = X9)) & ((($true = X5) & ($true = X3)) => ($true = X1)) & ((~($true = X9) & ($true = X6)) => ($true = X1)) & ((($true = X9) & ($true = X8)) => ~($true = X7)) & ((($true = X6) & ~($true = X9) & ($true = X4)) => ~($true = X7))) => ((($true = X5) & ($true = X8)) => (~($true = X4) & ($true = X2))))),
% 1.65/1.31 inference(fool_elimination,[status(thm)],[f4])).
% 1.65/1.31 tff(f4,plain,(
% 1.65/1.31 ~! [X0 : $o,X1 : $o,X2 : $o,X3 : $o,X4 : $o,X5 : $o,X6 : $o,X7 : $o,X8 : $o,X9 : $o,X10 : $o] : ((((X5 & X1) => X7) & ((~X9 & ~X6) => X10) & ((X10 & X5 & X8) => ~X1) & ((~X1 & X6 & ~X10) => ~X4) & ((~X0 & ~X2 & X9) => X3) & ((X9 & ~X1 & ~X10) => X6) & ((X4 & X10) => X7) & ((~X0 & X8 & X6 & ~X10) => ~X1) & ((~X10 & X0 & X1) => X2) & ((~X3 & X0 & ~X2) => X7) & ((~X6 & ~X3) => X9) & ((X5 & X3) => X1) & ((~X9 & X6) => X1) & ((X9 & X8) => ~X7) & ((X6 & ~X9 & X4) => ~X7)) => ((X8 & X5) => (~X4 & X2)))),
% 1.65/1.31 inference(rectify,[status(thm)],[f2])).
% 1.65/1.31 tff(f2,negated_conjecture,(
% 1.65/1.31 ~! [X6 : $o,X2 : $o,X7 : $o,X1 : $o,X9 : $o,X0 : $o,X3 : $o,X10 : $o,X5 : $o,X4 : $o,X8 : $o] : ((((X0 & X2) => X10) & ((~X4 & ~X3) => X8) & ((X8 & X0 & X5) => ~X2) & ((~X2 & X3 & ~X8) => ~X9) & ((~X6 & ~X7 & X4) => X1) & ((X4 & ~X2 & ~X8) => X3) & ((X9 & X8) => X10) & ((~X6 & X5 & X3 & ~X8) => ~X2) & ((~X8 & X6 & X2) => X7) & ((~X1 & X6 & ~X7) => X10) & ((~X3 & ~X1) => X4) & ((X0 & X1) => X2) & ((~X4 & X3) => X2) & ((X4 & X5) => ~X10) & ((X3 & ~X4 & X9) => ~X10)) => ((X5 & X0) => (~X9 & X7)))),
% 1.65/1.31 inference(negated_conjecture,[status(cth)],[f1])).
% 1.65/1.31 tff(f1,conjecture,(
% 1.65/1.31 ! [X6 : $o,X2 : $o,X7 : $o,X1 : $o,X9 : $o,X0 : $o,X3 : $o,X10 : $o,X5 : $o,X4 : $o,X8 : $o] : ((((X0 & X2) => X10) & ((~X4 & ~X3) => X8) & ((X8 & X0 & X5) => ~X2) & ((~X2 & X3 & ~X8) => ~X9) & ((~X6 & ~X7 & X4) => X1) & ((X4 & ~X2 & ~X8) => X3) & ((X9 & X8) => X10) & ((~X6 & X5 & X3 & ~X8) => ~X2) & ((~X8 & X6 & X2) => X7) & ((~X1 & X6 & ~X7) => X10) & ((~X3 & ~X1) => X4) & ((X0 & X1) => X2) & ((~X4 & X3) => X2) & ((X4 & X5) => ~X10) & ((X3 & ~X4 & X9) => ~X10)) => ((X5 & X0) => (~X9 & X7)))),
% 1.65/1.31 file('/export/starexec/sandbox/tmp/tmp.m1EeXnHreD/DTF2THF_26245.p',cPORKCHOP2)).
% 1.65/1.31 tff(f91,plain,(
% 1.65/1.31 spl11_3 | spl11_4 | spl11_2),
% 1.65/1.31 inference(avatar_split_clause,[status(thm)],[f27,f46,f55,f51])).
% 1.65/1.31 tff(f51,definition,(
% 1.65/1.31 spl11_3 <=> ($true = sK5)),
% 1.65/1.31 introduced(definition,[new_symbols(naming,[spl11_3])],[avatar_definition])).
% 1.65/1.31 tff(f55,definition,(
% 1.65/1.31 spl11_4 <=> ($true = sK10)),
% 1.65/1.31 introduced(definition,[new_symbols(naming,[spl11_4])],[avatar_definition])).
% 1.65/1.31 tff(f46,definition,(
% 1.65/1.31 spl11_2 <=> ($true = sK7)),
% 1.65/1.31 introduced(definition,[new_symbols(naming,[spl11_2])],[avatar_definition])).
% 1.65/1.31 tff(f27,plain,(
% 1.65/1.31 ($true = sK7) | ($true = sK5) | ($true = sK10)),
% 1.65/1.31 inference(cnf_transformation,[status(thm)],[f11])).
% 1.65/1.31 tff(f90,plain,(
% 1.65/1.31 spl11_9 | ~spl11_1),
% 1.65/1.31 inference(avatar_split_clause,[status(thm)],[f35,f42,f80])).
% 1.65/1.31 tff(f80,definition,(
% 1.65/1.31 spl11_9 <=> ($true = sK9)),
% 1.65/1.31 introduced(definition,[new_symbols(naming,[spl11_9])],[avatar_definition])).
% 1.65/1.31 tff(f35,plain,(
% 1.65/1.31 ($true = sK9) | ($true != sK6)),
% 1.65/1.31 inference(trivial_inequality_removal,[status(thm)],[f30])).
% 1.65/1.31 tff(f30,plain,(
% 1.65/1.31 ($true != $true) | ($true = sK9) | ($true != sK6)),
% 1.65/1.31 inference(definition_unfolding,[status(thm)],[f28,f17])).
% 1.65/1.31 tff(f17,plain,(
% 1.65/1.31 (sK2 = $true)),
% 1.65/1.31 inference(cnf_transformation,[status(thm)],[f11])).
% 1.65/1.31 tff(f28,plain,(
% 1.65/1.31 ($true = sK9) | ($true != sK6) | (sK2 != $true)),
% 1.65/1.31 inference(cnf_transformation,[status(thm)],[f11])).
% 1.65/1.31 tff(f89,plain,(
% 1.65/1.31 ~spl11_5 | spl11_9 | ~spl11_6),
% 1.65/1.31 inference(avatar_split_clause,[status(thm)],[f13,f64,f80,f59])).
% 1.65/1.31 tff(f64,definition,(
% 1.65/1.31 spl11_6 <=> (sK0 = $true)),
% 1.65/1.31 introduced(definition,[new_symbols(naming,[spl11_6])],[avatar_definition])).
% 1.65/1.31 tff(f13,plain,(
% 1.65/1.31 ($true = sK9) | (sK0 != $true) | (sK8 != $true)),
% 1.65/1.31 inference(cnf_transformation,[status(thm)],[f11])).
% 1.65/1.31 tff(f88,plain,(
% 1.65/1.31 ~spl11_1 | ~spl11_5),
% 1.65/1.31 inference(avatar_split_clause,[status(thm)],[f37,f59,f42])).
% 1.65/1.31 tff(f37,plain,(
% 1.65/1.31 (sK8 != $true) | ($true != sK6)),
% 1.65/1.31 inference(trivial_inequality_removal,[status(thm)],[f36])).
% 1.65/1.31 tff(f36,plain,(
% 1.65/1.31 ($true != $true) | ($true != sK6) | (sK8 != $true)),
% 1.65/1.31 inference(duplicate_literal_removal,[status(thm)],[f32])).
% 1.65/1.31 tff(f32,plain,(
% 1.65/1.31 (sK8 != $true) | ($true != sK6) | ($true != $true) | ($true != $true)),
% 1.65/1.31 inference(definition_unfolding,[status(thm)],[f19,f21,f17])).
% 1.65/1.31 tff(f21,plain,(
% 1.65/1.31 (sK1 = $true)),
% 1.65/1.31 inference(cnf_transformation,[status(thm)],[f11])).
% 1.65/1.31 tff(f19,plain,(
% 1.65/1.31 (sK1 != $true) | (sK8 != $true) | ($true != sK6) | (sK2 != $true)),
% 1.65/1.31 inference(cnf_transformation,[status(thm)],[f11])).
% 1.65/1.31 tff(f87,plain,(
% 1.65/1.31 spl11_1 | spl11_5 | ~spl11_4 | ~spl11_6),
% 1.65/1.31 inference(avatar_split_clause,[status(thm)],[f22,f64,f55,f59,f42])).
% 1.65/1.31 tff(f22,plain,(
% 1.65/1.31 ($true != sK10) | ($true = sK6) | (sK0 != $true) | (sK8 = $true)),
% 1.65/1.31 inference(cnf_transformation,[status(thm)],[f11])).
% 1.65/1.31 tff(f86,plain,(
% 1.65/1.31 ~spl11_6 | ~spl11_4 | spl11_3 | ~spl11_9),
% 1.65/1.31 inference(avatar_split_clause,[status(thm)],[f24,f80,f51,f55,f64])).
% 1.65/1.31 tff(f24,plain,(
% 1.65/1.31 ($true != sK9) | ($true = sK5) | ($true != sK10) | (sK0 != $true)),
% 1.65/1.31 inference(cnf_transformation,[status(thm)],[f11])).
% 1.65/1.31 tff(f85,plain,(
% 1.65/1.31 spl11_3 | spl11_1 | ~spl11_4),
% 1.65/1.31 inference(avatar_split_clause,[status(thm)],[f29,f55,f42,f51])).
% 1.65/1.31 tff(f29,plain,(
% 1.65/1.31 ($true != sK10) | ($true = sK6) | ($true = sK5)),
% 1.65/1.31 inference(cnf_transformation,[status(thm)],[f11])).
% 1.65/1.31 tff(f84,plain,(
% 1.65/1.31 spl11_9 | spl11_2 | spl11_7 | ~spl11_8),
% 1.65/1.31 inference(avatar_split_clause,[status(thm)],[f18,f73,f68,f46,f80])).
% 1.65/1.31 tff(f18,plain,(
% 1.65/1.31 ($true = sK9) | ($true != sK3) | ($true = sK7) | ($true = sK4)),
% 1.65/1.31 inference(cnf_transformation,[status(thm)],[f11])).
% 1.65/1.31 tff(f83,plain,(
% 1.65/1.31 ~spl11_3 | ~spl11_9),
% 1.65/1.31 inference(avatar_split_clause,[status(thm)],[f38,f80,f51])).
% 1.65/1.31 tff(f38,plain,(
% 1.65/1.31 ($true != sK5) | ($true != sK9)),
% 1.65/1.31 inference(trivial_inequality_removal,[status(thm)],[f31])).
% 1.65/1.31 tff(f31,plain,(
% 1.65/1.31 ($true != sK9) | ($true != $true) | ($true != sK5)),
% 1.65/1.31 inference(definition_unfolding,[status(thm)],[f20,f21])).
% 1.65/1.31 tff(f20,plain,(
% 1.65/1.31 ($true != sK9) | ($true != sK5) | (sK1 != $true)),
% 1.65/1.31 inference(cnf_transformation,[status(thm)],[f11])).
% 1.65/1.31 tff(f78,plain,(
% 1.65/1.31 spl11_8 | spl11_7 | ~spl11_3 | spl11_2),
% 1.65/1.31 inference(avatar_split_clause,[status(thm)],[f12,f46,f51,f68,f73])).
% 1.65/1.31 tff(f12,plain,(
% 1.65/1.31 ($true = sK3) | ($true = sK7) | ($true != sK5) | ($true = sK4)),
% 1.65/1.31 inference(cnf_transformation,[status(thm)],[f11])).
% 1.65/1.31 tff(f77,plain,(
% 1.65/1.31 spl11_3 | spl11_5 | spl11_4),
% 1.65/1.31 inference(avatar_split_clause,[status(thm)],[f26,f55,f59,f51])).
% 1.65/1.31 tff(f26,plain,(
% 1.65/1.31 ($true = sK10) | ($true = sK5) | (sK8 = $true)),
% 1.65/1.31 inference(cnf_transformation,[status(thm)],[f11])).
% 1.65/1.31 tff(f76,plain,(
% 1.65/1.31 spl11_5 | ~spl11_1 | spl11_8 | ~spl11_4),
% 1.65/1.31 inference(avatar_split_clause,[status(thm)],[f39,f55,f73,f42,f59])).
% 1.65/1.31 tff(f39,plain,(
% 1.65/1.31 ($true = sK3) | (sK8 = $true) | ($true != sK6) | ($true != sK10)),
% 1.65/1.31 inference(trivial_inequality_removal,[status(thm)],[f34])).
% 1.65/1.31 tff(f34,plain,(
% 1.65/1.31 ($true != $true) | (sK8 = $true) | ($true = sK3) | ($true != sK10) | ($true != sK6)),
% 1.65/1.31 inference(definition_unfolding,[status(thm)],[f14,f21])).
% 1.65/1.31 tff(f14,plain,(
% 1.65/1.31 ($true != sK6) | ($true != sK10) | (sK8 = $true) | (sK1 != $true) | ($true = sK3)),
% 1.65/1.31 inference(cnf_transformation,[status(thm)],[f11])).
% 1.65/1.31 tff(f71,plain,(
% 1.65/1.31 spl11_6 | ~spl11_7),
% 1.65/1.31 inference(avatar_split_clause,[status(thm)],[f15,f68,f64])).
% 1.65/1.31 tff(f15,plain,(
% 1.65/1.31 (sK0 = $true) | ($true != sK4)),
% 1.65/1.31 inference(cnf_transformation,[status(thm)],[f11])).
% 1.65/1.31 tff(f62,plain,(
% 1.65/1.31 ~spl11_3 | spl11_4 | spl11_1 | spl11_5),
% 1.65/1.31 inference(avatar_split_clause,[status(thm)],[f23,f59,f42,f55,f51])).
% 1.65/1.31 tff(f23,plain,(
% 1.65/1.31 (sK8 = $true) | ($true = sK10) | ($true = sK6) | ($true != sK5)),
% 1.65/1.31 inference(cnf_transformation,[status(thm)],[f11])).
% 1.65/1.31 tff(f49,plain,(
% 1.65/1.31 spl11_1 | ~spl11_2),
% 1.65/1.31 inference(avatar_split_clause,[status(thm)],[f40,f46,f42])).
% 1.65/1.31 tff(f40,plain,(
% 1.65/1.31 ($true != sK7) | ($true = sK6)),
% 1.65/1.31 inference(trivial_inequality_removal,[status(thm)],[f33])).
% 1.65/1.31 tff(f33,plain,(
% 1.65/1.31 ($true != $true) | ($true != sK7) | ($true = sK6)),
% 1.65/1.31 inference(definition_unfolding,[status(thm)],[f16,f17])).
% 1.65/1.31 tff(f16,plain,(
% 1.65/1.31 ($true = sK6) | (sK2 != $true) | ($true != sK7)),
% 1.65/1.31 inference(cnf_transformation,[status(thm)],[f11])).
% 1.65/1.31 % SZS output end Proof for DTF2THF_26245
% 1.65/1.31 % (26527)------------------------------
% 1.65/1.31 % (26527)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.65/1.31 % (26527)Termination reason: Refutation
% 1.65/1.31
% 1.65/1.31 % (26527)Memory used [KB]: 5500
% 1.65/1.31 % (26527)Time elapsed: 0.006 s
% 1.65/1.31 % (26527)Instructions burned: 3 (million)
% 1.65/1.31 % (26527)------------------------------
% 1.65/1.31 % (26527)------------------------------
% 1.65/1.31 % (26525)Success in time 0.021 s
%------------------------------------------------------------------------------