TSTP Solution File: SEV009^5 by Vampire---4.9
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- Process Solution
%------------------------------------------------------------------------------
% File : Vampire---4.9
% Problem : SEV009^5 : TPTP v8.2.0. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire %s %d THM
% Computer : n020.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 : Mon Jun 24 16:01:24 EDT 2024
% Result : Theorem 0.12s 0.40s
% Output : Refutation 0.12s
% Verified :
% SZS Type : Refutation
% Derivation depth : 21
% Number of leaves : 22
% Syntax : Number of formulae : 157 ( 7 unt; 0 typ; 0 def)
% Number of atoms : 1721 ( 604 equ; 0 cnn)
% Maximal formula atoms : 46 ( 10 avg)
% Number of connectives : 1786 ( 426 ~; 488 |; 178 &; 657 @)
% ( 13 <=>; 24 =>; 0 <=; 0 <~>)
% Maximal formula depth : 14 ( 6 avg)
% Number of types : 2 ( 1 usr)
% Number of type conns : 195 ( 195 >; 0 *; 0 +; 0 <<)
% Number of symbols : 29 ( 26 usr; 21 con; 0-2 aty)
% Number of variables : 269 ( 0 ^ 171 !; 98 ?; 269 :)
% Comments :
%------------------------------------------------------------------------------
thf(type_def_5,type,
a: $tType ).
thf(func_def_0,type,
a: $tType ).
thf(func_def_2,type,
vEPSILON:
!>[X0: $tType] : ( ( X0 > $o ) > X0 ) ).
thf(func_def_5,type,
sK0: ( a > $o ) > $o ).
thf(func_def_6,type,
sK1: a > a > $o ).
thf(func_def_7,type,
sK2: a ).
thf(func_def_8,type,
sK3: a ).
thf(func_def_9,type,
sK4: a > $o ).
thf(func_def_10,type,
sK5: a ).
thf(func_def_11,type,
sK6: a ).
thf(func_def_12,type,
sK7: a ).
thf(func_def_13,type,
sK8: a ).
thf(func_def_14,type,
sK9: a > $o ).
thf(func_def_15,type,
sK10: a > $o ).
thf(func_def_17,type,
ph12:
!>[X0: $tType] : X0 ).
thf(f272,plain,
$false,
inference(avatar_sat_refutation,[],[f88,f93,f98,f102,f103,f108,f113,f117,f118,f123,f128,f129,f134,f135,f136,f137,f138,f139,f140,f141,f142,f143,f144,f145,f146,f147,f148,f149,f154,f167,f223,f262]) ).
thf(f262,plain,
( ~ spl11_5
| ~ spl11_3
| ~ spl11_6
| ~ spl11_8 ),
inference(avatar_split_clause,[],[f261,f110,f100,f85,f95]) ).
thf(f95,plain,
( spl11_5
<=> ( ( sK4 @ sK3 )
= $true ) ),
introduced(avatar_definition,[new_symbols(naming,[spl11_5])]) ).
thf(f85,plain,
( spl11_3
<=> ( $true
= ( sK0 @ sK4 ) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl11_3])]) ).
thf(f100,plain,
( spl11_6
<=> ! [X7: a > $o] :
( ( $true
!= ( X7 @ sK2 ) )
| ( ( X7 @ sK3 )
!= $true )
| ( ( sK0 @ X7 )
!= $true ) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl11_6])]) ).
thf(f110,plain,
( spl11_8
<=> ( $true
= ( sK4 @ sK2 ) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl11_8])]) ).
thf(f261,plain,
( ( ( sK4 @ sK3 )
!= $true )
| ~ spl11_3
| ~ spl11_6
| ~ spl11_8 ),
inference(trivial_inequality_removal,[],[f260]) ).
thf(f260,plain,
( ( ( sK4 @ sK3 )
!= $true )
| ( $true != $true )
| ~ spl11_3
| ~ spl11_6
| ~ spl11_8 ),
inference(forward_demodulation,[],[f249,f112]) ).
thf(f112,plain,
( ( $true
= ( sK4 @ sK2 ) )
| ~ spl11_8 ),
inference(avatar_component_clause,[],[f110]) ).
thf(f249,plain,
( ( ( sK4 @ sK3 )
!= $true )
| ( $true
!= ( sK4 @ sK2 ) )
| ~ spl11_3
| ~ spl11_6 ),
inference(trivial_inequality_removal,[],[f244]) ).
thf(f244,plain,
( ( $true != $true )
| ( $true
!= ( sK4 @ sK2 ) )
| ( ( sK4 @ sK3 )
!= $true )
| ~ spl11_3
| ~ spl11_6 ),
inference(superposition,[],[f101,f87]) ).
thf(f87,plain,
( ( $true
= ( sK0 @ sK4 ) )
| ~ spl11_3 ),
inference(avatar_component_clause,[],[f85]) ).
thf(f101,plain,
( ! [X7: a > $o] :
( ( ( sK0 @ X7 )
!= $true )
| ( ( X7 @ sK3 )
!= $true )
| ( $true
!= ( X7 @ sK2 ) ) )
| ~ spl11_6 ),
inference(avatar_component_clause,[],[f100]) ).
thf(f223,plain,
( ~ spl11_1
| ~ spl11_4
| ~ spl11_7
| ~ spl11_10
| ~ spl11_11
| spl11_13 ),
inference(avatar_contradiction_clause,[],[f222]) ).
thf(f222,plain,
( $false
| ~ spl11_1
| ~ spl11_4
| ~ spl11_7
| ~ spl11_10
| ~ spl11_11
| spl11_13 ),
inference(trivial_inequality_removal,[],[f220]) ).
thf(f220,plain,
( ( $true = $false )
| ~ spl11_1
| ~ spl11_4
| ~ spl11_7
| ~ spl11_10
| ~ spl11_11
| spl11_13 ),
inference(backward_demodulation,[],[f122,f218]) ).
thf(f218,plain,
( ( ( sK9 @ sK7 )
= $false )
| ~ spl11_1
| ~ spl11_4
| ~ spl11_7
| ~ spl11_11
| spl11_13 ),
inference(trivial_inequality_removal,[],[f217]) ).
thf(f217,plain,
( ( ( sK9 @ sK7 )
= $false )
| ( $true != $true )
| ~ spl11_1
| ~ spl11_4
| ~ spl11_7
| ~ spl11_11
| spl11_13 ),
inference(superposition,[],[f166,f206]) ).
thf(f206,plain,
( ! [X1: a] :
( ( ( sK10 @ X1 )
= $true )
| ( ( sK9 @ X1 )
= $false ) )
| ~ spl11_1
| ~ spl11_4
| ~ spl11_7
| ~ spl11_11 ),
inference(binary_proxy_clausification,[],[f205]) ).
thf(f205,plain,
( ! [X1: a] :
( ( sK10 @ X1 )
= ( sK9 @ X1 ) )
| ~ spl11_1
| ~ spl11_4
| ~ spl11_7
| ~ spl11_11 ),
inference(argument_congruence,[],[f197]) ).
thf(f197,plain,
( ( sK9 = sK10 )
| ~ spl11_1
| ~ spl11_4
| ~ spl11_7
| ~ spl11_11 ),
inference(backward_demodulation,[],[f177,f181]) ).
thf(f181,plain,
( ( sK9
= ( sK1 @ sK6 ) )
| ~ spl11_4
| ~ spl11_7 ),
inference(trivial_inequality_removal,[],[f178]) ).
thf(f178,plain,
( ( $true != $true )
| ( sK9
= ( sK1 @ sK6 ) )
| ~ spl11_4
| ~ spl11_7 ),
inference(superposition,[],[f172,f92]) ).
thf(f92,plain,
( ( ( sK9 @ sK6 )
= $true )
| ~ spl11_4 ),
inference(avatar_component_clause,[],[f90]) ).
thf(f90,plain,
( spl11_4
<=> ( ( sK9 @ sK6 )
= $true ) ),
introduced(avatar_definition,[new_symbols(naming,[spl11_4])]) ).
thf(f172,plain,
( ! [X0: a] :
( ( ( sK9 @ X0 )
!= $true )
| ( sK9
= ( sK1 @ X0 ) ) )
| ~ spl11_7 ),
inference(trivial_inequality_removal,[],[f169]) ).
thf(f169,plain,
( ! [X0: a] :
( ( $true != $true )
| ( ( sK9 @ X0 )
!= $true )
| ( sK9
= ( sK1 @ X0 ) ) )
| ~ spl11_7 ),
inference(superposition,[],[f48,f107]) ).
thf(f107,plain,
( ( $true
= ( sK0 @ sK9 ) )
| ~ spl11_7 ),
inference(avatar_component_clause,[],[f105]) ).
thf(f105,plain,
( spl11_7
<=> ( $true
= ( sK0 @ sK9 ) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl11_7])]) ).
thf(f48,plain,
! [X3: a > $o,X1: a] :
( ( ( sK0 @ X3 )
!= $true )
| ( ( X3 @ X1 )
!= $true )
| ( ( sK1 @ X1 )
= X3 ) ),
inference(cnf_transformation,[],[f17]) ).
thf(f17,plain,
( ! [X1: a] :
( ! [X3: a > $o] :
( ( ( sK0 @ X3 )
!= $true )
| ( ( sK1 @ X1 )
= X3 )
| ( ( X3 @ X1 )
!= $true ) )
& ( $true
= ( sK1 @ X1 @ X1 ) )
& ( $true
= ( sK0 @ ( sK1 @ X1 ) ) ) )
& ( ( ( ( sK4 @ sK3 )
= $true )
& ( $true
= ( sK4 @ sK2 ) )
& ( $true
= ( sK0 @ sK4 ) )
& ! [X7: a > $o] :
( ( ( X7 @ sK3 )
!= $true )
| ( ( sK0 @ X7 )
!= $true )
| ( $true
!= ( X7 @ sK2 ) ) ) )
| ! [X9: a > $o] :
( ( $true
!= ( X9 @ sK5 ) )
| ( ( sK0 @ X9 )
!= $true )
| ( $true
!= ( X9 @ sK5 ) ) )
| ( ! [X13: a > $o] :
( ( ( X13 @ sK7 )
!= $true )
| ( ( X13 @ sK8 )
!= $true )
| ( ( sK0 @ X13 )
!= $true ) )
& ( ( sK9 @ sK7 )
= $true )
& ( ( sK9 @ sK6 )
= $true )
& ( $true
= ( sK0 @ sK9 ) )
& ( $true
= ( sK10 @ sK8 ) )
& ( ( sK0 @ sK10 )
= $true )
& ( ( sK10 @ sK6 )
= $true ) ) ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK0,sK1,sK2,sK3,sK4,sK5,sK6,sK7,sK8,sK9,sK10])],[f8,f16,f15,f14,f13,f12,f11,f10,f9]) ).
thf(f9,plain,
( ? [X0: ( a > $o ) > $o] :
( ! [X1: a] :
? [X2: a > $o] :
( ! [X3: a > $o] :
( ( ( X0 @ X3 )
!= $true )
| ( X2 = X3 )
| ( ( X3 @ X1 )
!= $true ) )
& ( ( X2 @ X1 )
= $true )
& ( ( X0 @ X2 )
= $true ) )
& ( ? [X4: a,X5: a] :
( ? [X6: a > $o] :
( ( $true
= ( X6 @ X5 ) )
& ( ( X6 @ X4 )
= $true )
& ( ( X0 @ X6 )
= $true ) )
& ! [X7: a > $o] :
( ( ( X7 @ X5 )
!= $true )
| ( ( X0 @ X7 )
!= $true )
| ( ( X7 @ X4 )
!= $true ) ) )
| ? [X8: a] :
! [X9: a > $o] :
( ( ( X9 @ X8 )
!= $true )
| ( $true
!= ( X0 @ X9 ) )
| ( ( X9 @ X8 )
!= $true ) )
| ? [X10: a,X11: a,X12: a] :
( ! [X13: a > $o] :
( ( ( X13 @ X11 )
!= $true )
| ( $true
!= ( X13 @ X12 ) )
| ( $true
!= ( X0 @ X13 ) ) )
& ? [X14: a > $o] :
( ( $true
= ( X14 @ X11 ) )
& ( $true
= ( X14 @ X10 ) )
& ( ( X0 @ X14 )
= $true ) )
& ? [X15: a > $o] :
( ( ( X15 @ X12 )
= $true )
& ( ( X0 @ X15 )
= $true )
& ( ( X15 @ X10 )
= $true ) ) ) ) )
=> ( ! [X1: a] :
? [X2: a > $o] :
( ! [X3: a > $o] :
( ( ( sK0 @ X3 )
!= $true )
| ( X2 = X3 )
| ( ( X3 @ X1 )
!= $true ) )
& ( ( X2 @ X1 )
= $true )
& ( $true
= ( sK0 @ X2 ) ) )
& ( ? [X5: a,X4: a] :
( ? [X6: a > $o] :
( ( $true
= ( X6 @ X5 ) )
& ( ( X6 @ X4 )
= $true )
& ( $true
= ( sK0 @ X6 ) ) )
& ! [X7: a > $o] :
( ( ( X7 @ X5 )
!= $true )
| ( ( sK0 @ X7 )
!= $true )
| ( ( X7 @ X4 )
!= $true ) ) )
| ? [X8: a] :
! [X9: a > $o] :
( ( ( X9 @ X8 )
!= $true )
| ( ( sK0 @ X9 )
!= $true )
| ( ( X9 @ X8 )
!= $true ) )
| ? [X12: a,X11: a,X10: a] :
( ! [X13: a > $o] :
( ( ( X13 @ X11 )
!= $true )
| ( $true
!= ( X13 @ X12 ) )
| ( ( sK0 @ X13 )
!= $true ) )
& ? [X14: a > $o] :
( ( $true
= ( X14 @ X11 ) )
& ( $true
= ( X14 @ X10 ) )
& ( ( sK0 @ X14 )
= $true ) )
& ? [X15: a > $o] :
( ( ( X15 @ X12 )
= $true )
& ( $true
= ( sK0 @ X15 ) )
& ( ( X15 @ X10 )
= $true ) ) ) ) ) ),
introduced(choice_axiom,[]) ).
thf(f10,plain,
! [X1: a] :
( ? [X2: a > $o] :
( ! [X3: a > $o] :
( ( ( sK0 @ X3 )
!= $true )
| ( X2 = X3 )
| ( ( X3 @ X1 )
!= $true ) )
& ( ( X2 @ X1 )
= $true )
& ( $true
= ( sK0 @ X2 ) ) )
=> ( ! [X3: a > $o] :
( ( ( sK0 @ X3 )
!= $true )
| ( ( sK1 @ X1 )
= X3 )
| ( ( X3 @ X1 )
!= $true ) )
& ( $true
= ( sK1 @ X1 @ X1 ) )
& ( $true
= ( sK0 @ ( sK1 @ X1 ) ) ) ) ),
introduced(choice_axiom,[]) ).
thf(f11,plain,
( ? [X5: a,X4: a] :
( ? [X6: a > $o] :
( ( $true
= ( X6 @ X5 ) )
& ( ( X6 @ X4 )
= $true )
& ( $true
= ( sK0 @ X6 ) ) )
& ! [X7: a > $o] :
( ( ( X7 @ X5 )
!= $true )
| ( ( sK0 @ X7 )
!= $true )
| ( ( X7 @ X4 )
!= $true ) ) )
=> ( ? [X6: a > $o] :
( ( $true
= ( X6 @ sK3 ) )
& ( $true
= ( X6 @ sK2 ) )
& ( $true
= ( sK0 @ X6 ) ) )
& ! [X7: a > $o] :
( ( ( X7 @ sK3 )
!= $true )
| ( ( sK0 @ X7 )
!= $true )
| ( $true
!= ( X7 @ sK2 ) ) ) ) ),
introduced(choice_axiom,[]) ).
thf(f12,plain,
( ? [X6: a > $o] :
( ( $true
= ( X6 @ sK3 ) )
& ( $true
= ( X6 @ sK2 ) )
& ( $true
= ( sK0 @ X6 ) ) )
=> ( ( ( sK4 @ sK3 )
= $true )
& ( $true
= ( sK4 @ sK2 ) )
& ( $true
= ( sK0 @ sK4 ) ) ) ),
introduced(choice_axiom,[]) ).
thf(f13,plain,
( ? [X8: a] :
! [X9: a > $o] :
( ( ( X9 @ X8 )
!= $true )
| ( ( sK0 @ X9 )
!= $true )
| ( ( X9 @ X8 )
!= $true ) )
=> ! [X9: a > $o] :
( ( $true
!= ( X9 @ sK5 ) )
| ( ( sK0 @ X9 )
!= $true )
| ( $true
!= ( X9 @ sK5 ) ) ) ),
introduced(choice_axiom,[]) ).
thf(f14,plain,
( ? [X12: a,X11: a,X10: a] :
( ! [X13: a > $o] :
( ( ( X13 @ X11 )
!= $true )
| ( $true
!= ( X13 @ X12 ) )
| ( ( sK0 @ X13 )
!= $true ) )
& ? [X14: a > $o] :
( ( $true
= ( X14 @ X11 ) )
& ( $true
= ( X14 @ X10 ) )
& ( ( sK0 @ X14 )
= $true ) )
& ? [X15: a > $o] :
( ( ( X15 @ X12 )
= $true )
& ( $true
= ( sK0 @ X15 ) )
& ( ( X15 @ X10 )
= $true ) ) )
=> ( ! [X13: a > $o] :
( ( ( X13 @ sK7 )
!= $true )
| ( ( X13 @ sK8 )
!= $true )
| ( ( sK0 @ X13 )
!= $true ) )
& ? [X14: a > $o] :
( ( ( X14 @ sK7 )
= $true )
& ( $true
= ( X14 @ sK6 ) )
& ( ( sK0 @ X14 )
= $true ) )
& ? [X15: a > $o] :
( ( $true
= ( X15 @ sK8 ) )
& ( $true
= ( sK0 @ X15 ) )
& ( ( X15 @ sK6 )
= $true ) ) ) ),
introduced(choice_axiom,[]) ).
thf(f15,plain,
( ? [X14: a > $o] :
( ( ( X14 @ sK7 )
= $true )
& ( $true
= ( X14 @ sK6 ) )
& ( ( sK0 @ X14 )
= $true ) )
=> ( ( ( sK9 @ sK7 )
= $true )
& ( ( sK9 @ sK6 )
= $true )
& ( $true
= ( sK0 @ sK9 ) ) ) ),
introduced(choice_axiom,[]) ).
thf(f16,plain,
( ? [X15: a > $o] :
( ( $true
= ( X15 @ sK8 ) )
& ( $true
= ( sK0 @ X15 ) )
& ( ( X15 @ sK6 )
= $true ) )
=> ( ( $true
= ( sK10 @ sK8 ) )
& ( ( sK0 @ sK10 )
= $true )
& ( ( sK10 @ sK6 )
= $true ) ) ),
introduced(choice_axiom,[]) ).
thf(f8,plain,
? [X0: ( a > $o ) > $o] :
( ! [X1: a] :
? [X2: a > $o] :
( ! [X3: a > $o] :
( ( ( X0 @ X3 )
!= $true )
| ( X2 = X3 )
| ( ( X3 @ X1 )
!= $true ) )
& ( ( X2 @ X1 )
= $true )
& ( ( X0 @ X2 )
= $true ) )
& ( ? [X4: a,X5: a] :
( ? [X6: a > $o] :
( ( $true
= ( X6 @ X5 ) )
& ( ( X6 @ X4 )
= $true )
& ( ( X0 @ X6 )
= $true ) )
& ! [X7: a > $o] :
( ( ( X7 @ X5 )
!= $true )
| ( ( X0 @ X7 )
!= $true )
| ( ( X7 @ X4 )
!= $true ) ) )
| ? [X8: a] :
! [X9: a > $o] :
( ( ( X9 @ X8 )
!= $true )
| ( $true
!= ( X0 @ X9 ) )
| ( ( X9 @ X8 )
!= $true ) )
| ? [X10: a,X11: a,X12: a] :
( ! [X13: a > $o] :
( ( ( X13 @ X11 )
!= $true )
| ( $true
!= ( X13 @ X12 ) )
| ( $true
!= ( X0 @ X13 ) ) )
& ? [X14: a > $o] :
( ( $true
= ( X14 @ X11 ) )
& ( $true
= ( X14 @ X10 ) )
& ( ( X0 @ X14 )
= $true ) )
& ? [X15: a > $o] :
( ( ( X15 @ X12 )
= $true )
& ( ( X0 @ X15 )
= $true )
& ( ( X15 @ X10 )
= $true ) ) ) ) ),
inference(rectify,[],[f7]) ).
thf(f7,plain,
? [X0: ( a > $o ) > $o] :
( ! [X1: a] :
? [X2: a > $o] :
( ! [X3: a > $o] :
( ( ( X0 @ X3 )
!= $true )
| ( X2 = X3 )
| ( ( X3 @ X1 )
!= $true ) )
& ( ( X2 @ X1 )
= $true )
& ( ( X0 @ X2 )
= $true ) )
& ( ? [X12: a,X13: a] :
( ? [X14: a > $o] :
( ( ( X14 @ X13 )
= $true )
& ( $true
= ( X14 @ X12 ) )
& ( ( X0 @ X14 )
= $true ) )
& ! [X15: a > $o] :
( ( ( X15 @ X13 )
!= $true )
| ( ( X0 @ X15 )
!= $true )
| ( ( X15 @ X12 )
!= $true ) ) )
| ? [X10: a] :
! [X11: a > $o] :
( ( ( X11 @ X10 )
!= $true )
| ( ( X0 @ X11 )
!= $true )
| ( ( X11 @ X10 )
!= $true ) )
| ? [X6: a,X5: a,X4: a] :
( ! [X9: a > $o] :
( ( $true
!= ( X9 @ X5 ) )
| ( $true
!= ( X9 @ X4 ) )
| ( $true
!= ( X0 @ X9 ) ) )
& ? [X8: a > $o] :
( ( ( X8 @ X5 )
= $true )
& ( ( X8 @ X6 )
= $true )
& ( $true
= ( X0 @ X8 ) ) )
& ? [X7: a > $o] :
( ( ( X7 @ X4 )
= $true )
& ( ( X0 @ X7 )
= $true )
& ( ( X7 @ X6 )
= $true ) ) ) ) ),
inference(flattening,[],[f6]) ).
thf(f6,plain,
? [X0: ( a > $o ) > $o] :
( ( ? [X10: a] :
! [X11: a > $o] :
( ( ( X11 @ X10 )
!= $true )
| ( ( X0 @ X11 )
!= $true )
| ( ( X11 @ X10 )
!= $true ) )
| ? [X4: a,X5: a,X6: a] :
( ! [X9: a > $o] :
( ( $true
!= ( X9 @ X5 ) )
| ( $true
!= ( X9 @ X4 ) )
| ( $true
!= ( X0 @ X9 ) ) )
& ? [X8: a > $o] :
( ( ( X8 @ X5 )
= $true )
& ( ( X8 @ X6 )
= $true )
& ( $true
= ( X0 @ X8 ) ) )
& ? [X7: a > $o] :
( ( ( X7 @ X4 )
= $true )
& ( ( X0 @ X7 )
= $true )
& ( ( X7 @ X6 )
= $true ) ) )
| ? [X12: a,X13: a] :
( ? [X14: a > $o] :
( ( ( X14 @ X13 )
= $true )
& ( $true
= ( X14 @ X12 ) )
& ( ( X0 @ X14 )
= $true ) )
& ! [X15: a > $o] :
( ( ( X15 @ X13 )
!= $true )
| ( ( X0 @ X15 )
!= $true )
| ( ( X15 @ X12 )
!= $true ) ) ) )
& ! [X1: a] :
? [X2: a > $o] :
( ( ( X0 @ X2 )
= $true )
& ! [X3: a > $o] :
( ( X2 = X3 )
| ( ( X3 @ X1 )
!= $true )
| ( ( X0 @ X3 )
!= $true ) )
& ( ( X2 @ X1 )
= $true ) ) ),
inference(ennf_transformation,[],[f5]) ).
thf(f5,plain,
~ ! [X0: ( a > $o ) > $o] :
( ! [X1: a] :
? [X2: a > $o] :
( ( ( X0 @ X2 )
= $true )
& ! [X3: a > $o] :
( ( ( ( X3 @ X1 )
= $true )
& ( ( X0 @ X3 )
= $true ) )
=> ( X2 = X3 ) )
& ( ( X2 @ X1 )
= $true ) )
=> ( ! [X10: a] :
? [X11: a > $o] :
( ( ( X0 @ X11 )
= $true )
& ( ( X11 @ X10 )
= $true )
& ( ( X11 @ X10 )
= $true ) )
& ! [X4: a,X5: a,X6: a] :
( ( ? [X8: a > $o] :
( ( ( X8 @ X5 )
= $true )
& ( ( X8 @ X6 )
= $true )
& ( $true
= ( X0 @ X8 ) ) )
& ? [X7: a > $o] :
( ( ( X7 @ X4 )
= $true )
& ( ( X0 @ X7 )
= $true )
& ( ( X7 @ X6 )
= $true ) ) )
=> ? [X9: a > $o] :
( ( $true
= ( X0 @ X9 ) )
& ( $true
= ( X9 @ X5 ) )
& ( $true
= ( X9 @ X4 ) ) ) )
& ! [X12: a,X13: a] :
( ? [X14: a > $o] :
( ( ( X14 @ X13 )
= $true )
& ( $true
= ( X14 @ X12 ) )
& ( ( X0 @ X14 )
= $true ) )
=> ? [X15: a > $o] :
( ( ( X15 @ X12 )
= $true )
& ( ( X0 @ X15 )
= $true )
& ( ( X15 @ X13 )
= $true ) ) ) ) ),
inference(fool_elimination,[],[f4]) ).
thf(f4,plain,
~ ! [X0: ( a > $o ) > $o] :
( ! [X1: a] :
? [X2: a > $o] :
( ! [X3: a > $o] :
( ( ( X3 @ X1 )
& ( X0 @ X3 ) )
=> ( X2 = X3 ) )
& ( X2 @ X1 )
& ( X0 @ X2 ) )
=> ( ! [X4: a,X5: a,X6: a] :
( ( ? [X7: a > $o] :
( ( X7 @ X4 )
& ( X7 @ X6 )
& ( X0 @ X7 ) )
& ? [X8: a > $o] :
( ( X8 @ X5 )
& ( X8 @ X6 )
& ( X0 @ X8 ) ) )
=> ? [X9: a > $o] :
( ( X9 @ X4 )
& ( X0 @ X9 )
& ( X9 @ X5 ) ) )
& ! [X10: a] :
? [X11: a > $o] :
( ( X0 @ X11 )
& ( X11 @ X10 )
& ( X11 @ X10 ) )
& ! [X12: a,X13: a] :
( ? [X14: a > $o] :
( ( X14 @ X12 )
& ( X14 @ X13 )
& ( X0 @ X14 ) )
=> ? [X15: a > $o] :
( ( X15 @ X13 )
& ( X0 @ X15 )
& ( X15 @ X12 ) ) ) ) ),
inference(rectify,[],[f2]) ).
thf(f2,negated_conjecture,
~ ! [X0: ( a > $o ) > $o] :
( ! [X1: a] :
? [X2: a > $o] :
( ! [X3: a > $o] :
( ( ( X3 @ X1 )
& ( X0 @ X3 ) )
=> ( X2 = X3 ) )
& ( X2 @ X1 )
& ( X0 @ X2 ) )
=> ( ! [X1: a,X6: a,X5: a] :
( ( ? [X4: a > $o] :
( ( X4 @ X1 )
& ( X4 @ X5 )
& ( X0 @ X4 ) )
& ? [X4: a > $o] :
( ( X4 @ X6 )
& ( X4 @ X5 )
& ( X0 @ X4 ) ) )
=> ? [X4: a > $o] :
( ( X4 @ X1 )
& ( X0 @ X4 )
& ( X4 @ X6 ) ) )
& ! [X1: a] :
? [X4: a > $o] :
( ( X0 @ X4 )
& ( X4 @ X1 )
& ( X4 @ X1 ) )
& ! [X5: a,X1: a] :
( ? [X4: a > $o] :
( ( X4 @ X5 )
& ( X4 @ X1 )
& ( X0 @ X4 ) )
=> ? [X4: a > $o] :
( ( X4 @ X1 )
& ( X0 @ X4 )
& ( X4 @ X5 ) ) ) ) ),
inference(negated_conjecture,[],[f1]) ).
thf(f1,conjecture,
! [X0: ( a > $o ) > $o] :
( ! [X1: a] :
? [X2: a > $o] :
( ! [X3: a > $o] :
( ( ( X3 @ X1 )
& ( X0 @ X3 ) )
=> ( X2 = X3 ) )
& ( X2 @ X1 )
& ( X0 @ X2 ) )
=> ( ! [X1: a,X6: a,X5: a] :
( ( ? [X4: a > $o] :
( ( X4 @ X1 )
& ( X4 @ X5 )
& ( X0 @ X4 ) )
& ? [X4: a > $o] :
( ( X4 @ X6 )
& ( X4 @ X5 )
& ( X0 @ X4 ) ) )
=> ? [X4: a > $o] :
( ( X4 @ X1 )
& ( X0 @ X4 )
& ( X4 @ X6 ) ) )
& ! [X1: a] :
? [X4: a > $o] :
( ( X0 @ X4 )
& ( X4 @ X1 )
& ( X4 @ X1 ) )
& ! [X5: a,X1: a] :
( ? [X4: a > $o] :
( ( X4 @ X5 )
& ( X4 @ X1 )
& ( X0 @ X4 ) )
=> ? [X4: a > $o] :
( ( X4 @ X1 )
& ( X0 @ X4 )
& ( X4 @ X5 ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cTHM261_B_pme) ).
thf(f177,plain,
( ( ( sK1 @ sK6 )
= sK10 )
| ~ spl11_1
| ~ spl11_11 ),
inference(trivial_inequality_removal,[],[f174]) ).
thf(f174,plain,
( ( $true != $true )
| ( ( sK1 @ sK6 )
= sK10 )
| ~ spl11_1
| ~ spl11_11 ),
inference(superposition,[],[f171,f80]) ).
thf(f80,plain,
( ( ( sK10 @ sK6 )
= $true )
| ~ spl11_1 ),
inference(avatar_component_clause,[],[f78]) ).
thf(f78,plain,
( spl11_1
<=> ( ( sK10 @ sK6 )
= $true ) ),
introduced(avatar_definition,[new_symbols(naming,[spl11_1])]) ).
thf(f171,plain,
( ! [X0: a] :
( ( ( sK10 @ X0 )
!= $true )
| ( ( sK1 @ X0 )
= sK10 ) )
| ~ spl11_11 ),
inference(trivial_inequality_removal,[],[f168]) ).
thf(f168,plain,
( ! [X0: a] :
( ( ( sK1 @ X0 )
= sK10 )
| ( $true != $true )
| ( ( sK10 @ X0 )
!= $true ) )
| ~ spl11_11 ),
inference(superposition,[],[f48,f127]) ).
thf(f127,plain,
( ( ( sK0 @ sK10 )
= $true )
| ~ spl11_11 ),
inference(avatar_component_clause,[],[f125]) ).
thf(f125,plain,
( spl11_11
<=> ( ( sK0 @ sK10 )
= $true ) ),
introduced(avatar_definition,[new_symbols(naming,[spl11_11])]) ).
thf(f166,plain,
( ( ( sK10 @ sK7 )
!= $true )
| spl11_13 ),
inference(avatar_component_clause,[],[f164]) ).
thf(f164,plain,
( spl11_13
<=> ( ( sK10 @ sK7 )
= $true ) ),
introduced(avatar_definition,[new_symbols(naming,[spl11_13])]) ).
thf(f122,plain,
( ( ( sK9 @ sK7 )
= $true )
| ~ spl11_10 ),
inference(avatar_component_clause,[],[f120]) ).
thf(f120,plain,
( spl11_10
<=> ( ( sK9 @ sK7 )
= $true ) ),
introduced(avatar_definition,[new_symbols(naming,[spl11_10])]) ).
thf(f167,plain,
( ~ spl11_13
| ~ spl11_12
| ~ spl11_9
| ~ spl11_11 ),
inference(avatar_split_clause,[],[f158,f125,f115,f131,f164]) ).
thf(f131,plain,
( spl11_12
<=> ( $true
= ( sK10 @ sK8 ) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl11_12])]) ).
thf(f115,plain,
( spl11_9
<=> ! [X13: a > $o] :
( ( ( sK0 @ X13 )
!= $true )
| ( ( X13 @ sK7 )
!= $true )
| ( ( X13 @ sK8 )
!= $true ) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl11_9])]) ).
thf(f158,plain,
( ( $true
!= ( sK10 @ sK8 ) )
| ( ( sK10 @ sK7 )
!= $true )
| ~ spl11_9
| ~ spl11_11 ),
inference(trivial_inequality_removal,[],[f155]) ).
thf(f155,plain,
( ( $true != $true )
| ( ( sK10 @ sK7 )
!= $true )
| ( $true
!= ( sK10 @ sK8 ) )
| ~ spl11_9
| ~ spl11_11 ),
inference(superposition,[],[f116,f127]) ).
thf(f116,plain,
( ! [X13: a > $o] :
( ( ( sK0 @ X13 )
!= $true )
| ( ( X13 @ sK8 )
!= $true )
| ( ( X13 @ sK7 )
!= $true ) )
| ~ spl11_9 ),
inference(avatar_component_clause,[],[f115]) ).
thf(f154,plain,
~ spl11_2,
inference(avatar_contradiction_clause,[],[f153]) ).
thf(f153,plain,
( $false
| ~ spl11_2 ),
inference(trivial_inequality_removal,[],[f152]) ).
thf(f152,plain,
( ( $true != $true )
| ~ spl11_2 ),
inference(superposition,[],[f151,f47]) ).
thf(f47,plain,
! [X1: a] :
( $true
= ( sK1 @ X1 @ X1 ) ),
inference(cnf_transformation,[],[f17]) ).
thf(f151,plain,
( ! [X0: a] :
( ( sK1 @ X0 @ sK5 )
!= $true )
| ~ spl11_2 ),
inference(trivial_inequality_removal,[],[f150]) ).
thf(f150,plain,
( ! [X0: a] :
( ( ( sK1 @ X0 @ sK5 )
!= $true )
| ( $true != $true ) )
| ~ spl11_2 ),
inference(superposition,[],[f83,f46]) ).
thf(f46,plain,
! [X1: a] :
( $true
= ( sK0 @ ( sK1 @ X1 ) ) ),
inference(cnf_transformation,[],[f17]) ).
thf(f83,plain,
( ! [X9: a > $o] :
( ( ( sK0 @ X9 )
!= $true )
| ( $true
!= ( X9 @ sK5 ) ) )
| ~ spl11_2 ),
inference(avatar_component_clause,[],[f82]) ).
thf(f82,plain,
( spl11_2
<=> ! [X9: a > $o] :
( ( ( sK0 @ X9 )
!= $true )
| ( $true
!= ( X9 @ sK5 ) ) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl11_2])]) ).
thf(f149,plain,
( spl11_6
| spl11_4
| spl11_2 ),
inference(avatar_split_clause,[],[f49,f82,f90,f100]) ).
thf(f49,plain,
! [X9: a > $o,X7: a > $o] :
( ( ( sK0 @ X7 )
!= $true )
| ( ( X7 @ sK3 )
!= $true )
| ( ( sK9 @ sK6 )
= $true )
| ( ( sK0 @ X9 )
!= $true )
| ( $true
!= ( X9 @ sK5 ) )
| ( $true
!= ( X7 @ sK2 ) ) ),
inference(duplicate_literal_removal,[],[f22]) ).
thf(f22,plain,
! [X9: a > $o,X7: a > $o] :
( ( $true
!= ( X9 @ sK5 ) )
| ( ( X7 @ sK3 )
!= $true )
| ( ( sK9 @ sK6 )
= $true )
| ( ( sK0 @ X9 )
!= $true )
| ( ( sK0 @ X7 )
!= $true )
| ( $true
!= ( X7 @ sK2 ) )
| ( $true
!= ( X9 @ sK5 ) ) ),
inference(cnf_transformation,[],[f17]) ).
thf(f148,plain,
( spl11_4
| spl11_2
| spl11_8 ),
inference(avatar_split_clause,[],[f50,f110,f82,f90]) ).
thf(f50,plain,
! [X9: a > $o] :
( ( ( sK0 @ X9 )
!= $true )
| ( $true
!= ( X9 @ sK5 ) )
| ( $true
= ( sK4 @ sK2 ) )
| ( ( sK9 @ sK6 )
= $true ) ),
inference(duplicate_literal_removal,[],[f36]) ).
thf(f36,plain,
! [X9: a > $o] :
( ( $true
!= ( X9 @ sK5 ) )
| ( $true
= ( sK4 @ sK2 ) )
| ( ( sK0 @ X9 )
!= $true )
| ( $true
!= ( X9 @ sK5 ) )
| ( ( sK9 @ sK6 )
= $true ) ),
inference(cnf_transformation,[],[f17]) ).
thf(f147,plain,
( spl11_5
| spl11_2
| spl11_10 ),
inference(avatar_split_clause,[],[f51,f120,f82,f95]) ).
thf(f51,plain,
! [X9: a > $o] :
( ( ( sK0 @ X9 )
!= $true )
| ( ( sK9 @ sK7 )
= $true )
| ( $true
!= ( X9 @ sK5 ) )
| ( ( sK4 @ sK3 )
= $true ) ),
inference(duplicate_literal_removal,[],[f44]) ).
thf(f44,plain,
! [X9: a > $o] :
( ( $true
!= ( X9 @ sK5 ) )
| ( ( sK0 @ X9 )
!= $true )
| ( ( sK4 @ sK3 )
= $true )
| ( ( sK9 @ sK7 )
= $true )
| ( $true
!= ( X9 @ sK5 ) ) ),
inference(cnf_transformation,[],[f17]) ).
thf(f146,plain,
( spl11_9
| spl11_2
| spl11_8 ),
inference(avatar_split_clause,[],[f52,f110,f82,f115]) ).
thf(f52,plain,
! [X9: a > $o,X13: a > $o] :
( ( $true
= ( sK4 @ sK2 ) )
| ( ( X13 @ sK8 )
!= $true )
| ( ( X13 @ sK7 )
!= $true )
| ( $true
!= ( X9 @ sK5 ) )
| ( ( sK0 @ X13 )
!= $true )
| ( ( sK0 @ X9 )
!= $true ) ),
inference(duplicate_literal_removal,[],[f38]) ).
thf(f38,plain,
! [X9: a > $o,X13: a > $o] :
( ( ( sK0 @ X13 )
!= $true )
| ( $true
!= ( X9 @ sK5 ) )
| ( $true
= ( sK4 @ sK2 ) )
| ( ( X13 @ sK7 )
!= $true )
| ( ( X13 @ sK8 )
!= $true )
| ( ( sK0 @ X9 )
!= $true )
| ( $true
!= ( X9 @ sK5 ) ) ),
inference(cnf_transformation,[],[f17]) ).
thf(f145,plain,
( spl11_2
| spl11_11
| spl11_3 ),
inference(avatar_split_clause,[],[f53,f85,f125,f82]) ).
thf(f53,plain,
! [X9: a > $o] :
( ( $true
!= ( X9 @ sK5 ) )
| ( $true
= ( sK0 @ sK4 ) )
| ( ( sK0 @ X9 )
!= $true )
| ( ( sK0 @ sK10 )
= $true ) ),
inference(duplicate_literal_removal,[],[f26]) ).
thf(f26,plain,
! [X9: a > $o] :
( ( $true
!= ( X9 @ sK5 ) )
| ( $true
!= ( X9 @ sK5 ) )
| ( ( sK0 @ sK10 )
= $true )
| ( $true
= ( sK0 @ sK4 ) )
| ( ( sK0 @ X9 )
!= $true ) ),
inference(cnf_transformation,[],[f17]) ).
thf(f144,plain,
( spl11_2
| spl11_7
| spl11_5 ),
inference(avatar_split_clause,[],[f54,f95,f105,f82]) ).
thf(f54,plain,
! [X9: a > $o] :
( ( $true
= ( sK0 @ sK9 ) )
| ( $true
!= ( X9 @ sK5 ) )
| ( ( sK0 @ X9 )
!= $true )
| ( ( sK4 @ sK3 )
= $true ) ),
inference(duplicate_literal_removal,[],[f42]) ).
thf(f42,plain,
! [X9: a > $o] :
( ( ( sK0 @ X9 )
!= $true )
| ( $true
!= ( X9 @ sK5 ) )
| ( $true
= ( sK0 @ sK9 ) )
| ( ( sK4 @ sK3 )
= $true )
| ( $true
!= ( X9 @ sK5 ) ) ),
inference(cnf_transformation,[],[f17]) ).
thf(f143,plain,
( spl11_5
| spl11_2
| spl11_9 ),
inference(avatar_split_clause,[],[f55,f115,f82,f95]) ).
thf(f55,plain,
! [X9: a > $o,X13: a > $o] :
( ( ( sK4 @ sK3 )
= $true )
| ( ( sK0 @ X13 )
!= $true )
| ( $true
!= ( X9 @ sK5 ) )
| ( ( X13 @ sK8 )
!= $true )
| ( ( sK0 @ X9 )
!= $true )
| ( ( X13 @ sK7 )
!= $true ) ),
inference(duplicate_literal_removal,[],[f45]) ).
thf(f45,plain,
! [X9: a > $o,X13: a > $o] :
( ( ( sK4 @ sK3 )
= $true )
| ( ( X13 @ sK7 )
!= $true )
| ( $true
!= ( X9 @ sK5 ) )
| ( ( X13 @ sK8 )
!= $true )
| ( ( sK0 @ X13 )
!= $true )
| ( $true
!= ( X9 @ sK5 ) )
| ( ( sK0 @ X9 )
!= $true ) ),
inference(cnf_transformation,[],[f17]) ).
thf(f142,plain,
( spl11_6
| spl11_10
| spl11_2 ),
inference(avatar_split_clause,[],[f56,f82,f120,f100]) ).
thf(f56,plain,
! [X9: a > $o,X7: a > $o] :
( ( ( sK0 @ X9 )
!= $true )
| ( ( X7 @ sK3 )
!= $true )
| ( ( sK0 @ X7 )
!= $true )
| ( $true
!= ( X9 @ sK5 ) )
| ( ( sK9 @ sK7 )
= $true )
| ( $true
!= ( X7 @ sK2 ) ) ),
inference(duplicate_literal_removal,[],[f23]) ).
thf(f23,plain,
! [X9: a > $o,X7: a > $o] :
( ( $true
!= ( X7 @ sK2 ) )
| ( $true
!= ( X9 @ sK5 ) )
| ( ( sK0 @ X9 )
!= $true )
| ( ( X7 @ sK3 )
!= $true )
| ( ( sK9 @ sK7 )
= $true )
| ( $true
!= ( X9 @ sK5 ) )
| ( ( sK0 @ X7 )
!= $true ) ),
inference(cnf_transformation,[],[f17]) ).
thf(f141,plain,
( spl11_8
| spl11_2
| spl11_12 ),
inference(avatar_split_clause,[],[f57,f131,f82,f110]) ).
thf(f57,plain,
! [X9: a > $o] :
( ( $true
!= ( X9 @ sK5 ) )
| ( $true
= ( sK10 @ sK8 ) )
| ( $true
= ( sK4 @ sK2 ) )
| ( ( sK0 @ X9 )
!= $true ) ),
inference(duplicate_literal_removal,[],[f34]) ).
thf(f34,plain,
! [X9: a > $o] :
( ( $true
= ( sK10 @ sK8 ) )
| ( $true
!= ( X9 @ sK5 ) )
| ( ( sK0 @ X9 )
!= $true )
| ( $true
!= ( X9 @ sK5 ) )
| ( $true
= ( sK4 @ sK2 ) ) ),
inference(cnf_transformation,[],[f17]) ).
thf(f140,plain,
( spl11_2
| spl11_8
| spl11_10 ),
inference(avatar_split_clause,[],[f58,f120,f110,f82]) ).
thf(f58,plain,
! [X9: a > $o] :
( ( $true
= ( sK4 @ sK2 ) )
| ( ( sK0 @ X9 )
!= $true )
| ( ( sK9 @ sK7 )
= $true )
| ( $true
!= ( X9 @ sK5 ) ) ),
inference(duplicate_literal_removal,[],[f37]) ).
thf(f37,plain,
! [X9: a > $o] :
( ( ( sK9 @ sK7 )
= $true )
| ( ( sK0 @ X9 )
!= $true )
| ( $true
!= ( X9 @ sK5 ) )
| ( $true
= ( sK4 @ sK2 ) )
| ( $true
!= ( X9 @ sK5 ) ) ),
inference(cnf_transformation,[],[f17]) ).
thf(f139,plain,
( spl11_11
| spl11_8
| spl11_2 ),
inference(avatar_split_clause,[],[f59,f82,f110,f125]) ).
thf(f59,plain,
! [X9: a > $o] :
( ( $true
= ( sK4 @ sK2 ) )
| ( ( sK0 @ sK10 )
= $true )
| ( $true
!= ( X9 @ sK5 ) )
| ( ( sK0 @ X9 )
!= $true ) ),
inference(duplicate_literal_removal,[],[f33]) ).
thf(f33,plain,
! [X9: a > $o] :
( ( ( sK0 @ X9 )
!= $true )
| ( ( sK0 @ sK10 )
= $true )
| ( $true
!= ( X9 @ sK5 ) )
| ( $true
= ( sK4 @ sK2 ) )
| ( $true
!= ( X9 @ sK5 ) ) ),
inference(cnf_transformation,[],[f17]) ).
thf(f138,plain,
( spl11_12
| spl11_3
| spl11_2 ),
inference(avatar_split_clause,[],[f60,f82,f85,f131]) ).
thf(f60,plain,
! [X9: a > $o] :
( ( $true
= ( sK10 @ sK8 ) )
| ( ( sK0 @ X9 )
!= $true )
| ( $true
= ( sK0 @ sK4 ) )
| ( $true
!= ( X9 @ sK5 ) ) ),
inference(duplicate_literal_removal,[],[f27]) ).
thf(f27,plain,
! [X9: a > $o] :
( ( $true
= ( sK0 @ sK4 ) )
| ( $true
!= ( X9 @ sK5 ) )
| ( $true
!= ( X9 @ sK5 ) )
| ( $true
= ( sK10 @ sK8 ) )
| ( ( sK0 @ X9 )
!= $true ) ),
inference(cnf_transformation,[],[f17]) ).
thf(f137,plain,
( spl11_12
| spl11_2
| spl11_6 ),
inference(avatar_split_clause,[],[f61,f100,f82,f131]) ).
thf(f61,plain,
! [X9: a > $o,X7: a > $o] :
( ( ( sK0 @ X9 )
!= $true )
| ( ( sK0 @ X7 )
!= $true )
| ( $true
= ( sK10 @ sK8 ) )
| ( $true
!= ( X9 @ sK5 ) )
| ( ( X7 @ sK3 )
!= $true )
| ( $true
!= ( X7 @ sK2 ) ) ),
inference(duplicate_literal_removal,[],[f20]) ).
thf(f20,plain,
! [X9: a > $o,X7: a > $o] :
( ( ( X7 @ sK3 )
!= $true )
| ( $true
!= ( X9 @ sK5 ) )
| ( $true
!= ( X9 @ sK5 ) )
| ( ( sK0 @ X7 )
!= $true )
| ( $true
= ( sK10 @ sK8 ) )
| ( $true
!= ( X7 @ sK2 ) )
| ( ( sK0 @ X9 )
!= $true ) ),
inference(cnf_transformation,[],[f17]) ).
thf(f136,plain,
( spl11_6
| spl11_9
| spl11_2 ),
inference(avatar_split_clause,[],[f62,f82,f115,f100]) ).
thf(f62,plain,
! [X9: a > $o,X7: a > $o,X13: a > $o] :
( ( ( sK0 @ X7 )
!= $true )
| ( ( X13 @ sK7 )
!= $true )
| ( ( X13 @ sK8 )
!= $true )
| ( $true
!= ( X9 @ sK5 ) )
| ( $true
!= ( X7 @ sK2 ) )
| ( ( X7 @ sK3 )
!= $true )
| ( ( sK0 @ X13 )
!= $true )
| ( ( sK0 @ X9 )
!= $true ) ),
inference(duplicate_literal_removal,[],[f24]) ).
thf(f24,plain,
! [X9: a > $o,X7: a > $o,X13: a > $o] :
( ( $true
!= ( X9 @ sK5 ) )
| ( ( X13 @ sK7 )
!= $true )
| ( $true
!= ( X7 @ sK2 ) )
| ( ( sK0 @ X13 )
!= $true )
| ( ( X13 @ sK8 )
!= $true )
| ( ( sK0 @ X7 )
!= $true )
| ( ( X7 @ sK3 )
!= $true )
| ( ( sK0 @ X9 )
!= $true )
| ( $true
!= ( X9 @ sK5 ) ) ),
inference(cnf_transformation,[],[f17]) ).
thf(f135,plain,
( spl11_7
| spl11_2
| spl11_6 ),
inference(avatar_split_clause,[],[f63,f100,f82,f105]) ).
thf(f63,plain,
! [X9: a > $o,X7: a > $o] :
( ( ( sK0 @ X9 )
!= $true )
| ( $true
= ( sK0 @ sK9 ) )
| ( ( X7 @ sK3 )
!= $true )
| ( $true
!= ( X9 @ sK5 ) )
| ( $true
!= ( X7 @ sK2 ) )
| ( ( sK0 @ X7 )
!= $true ) ),
inference(duplicate_literal_removal,[],[f21]) ).
thf(f21,plain,
! [X9: a > $o,X7: a > $o] :
( ( $true
!= ( X9 @ sK5 ) )
| ( ( sK0 @ X7 )
!= $true )
| ( ( sK0 @ X9 )
!= $true )
| ( $true
!= ( X7 @ sK2 ) )
| ( $true
!= ( X9 @ sK5 ) )
| ( ( X7 @ sK3 )
!= $true )
| ( $true
= ( sK0 @ sK9 ) ) ),
inference(cnf_transformation,[],[f17]) ).
thf(f134,plain,
( spl11_2
| spl11_12
| spl11_5 ),
inference(avatar_split_clause,[],[f64,f95,f131,f82]) ).
thf(f64,plain,
! [X9: a > $o] :
( ( $true
= ( sK10 @ sK8 ) )
| ( ( sK0 @ X9 )
!= $true )
| ( $true
!= ( X9 @ sK5 ) )
| ( ( sK4 @ sK3 )
= $true ) ),
inference(duplicate_literal_removal,[],[f41]) ).
thf(f41,plain,
! [X9: a > $o] :
( ( $true
= ( sK10 @ sK8 ) )
| ( $true
!= ( X9 @ sK5 ) )
| ( $true
!= ( X9 @ sK5 ) )
| ( ( sK0 @ X9 )
!= $true )
| ( ( sK4 @ sK3 )
= $true ) ),
inference(cnf_transformation,[],[f17]) ).
thf(f129,plain,
( spl11_2
| spl11_11
| spl11_5 ),
inference(avatar_split_clause,[],[f65,f95,f125,f82]) ).
thf(f65,plain,
! [X9: a > $o] :
( ( ( sK4 @ sK3 )
= $true )
| ( $true
!= ( X9 @ sK5 ) )
| ( ( sK0 @ X9 )
!= $true )
| ( ( sK0 @ sK10 )
= $true ) ),
inference(duplicate_literal_removal,[],[f40]) ).
thf(f40,plain,
! [X9: a > $o] :
( ( ( sK0 @ X9 )
!= $true )
| ( ( sK4 @ sK3 )
= $true )
| ( ( sK0 @ sK10 )
= $true )
| ( $true
!= ( X9 @ sK5 ) )
| ( $true
!= ( X9 @ sK5 ) ) ),
inference(cnf_transformation,[],[f17]) ).
thf(f128,plain,
( spl11_11
| spl11_2
| spl11_6 ),
inference(avatar_split_clause,[],[f66,f100,f82,f125]) ).
thf(f66,plain,
! [X9: a > $o,X7: a > $o] :
( ( ( sK0 @ X9 )
!= $true )
| ( ( X7 @ sK3 )
!= $true )
| ( $true
!= ( X7 @ sK2 ) )
| ( ( sK0 @ X7 )
!= $true )
| ( ( sK0 @ sK10 )
= $true )
| ( $true
!= ( X9 @ sK5 ) ) ),
inference(duplicate_literal_removal,[],[f19]) ).
thf(f19,plain,
! [X9: a > $o,X7: a > $o] :
( ( ( sK0 @ X9 )
!= $true )
| ( $true
!= ( X9 @ sK5 ) )
| ( $true
!= ( X7 @ sK2 ) )
| ( ( sK0 @ X7 )
!= $true )
| ( ( sK0 @ sK10 )
= $true )
| ( $true
!= ( X9 @ sK5 ) )
| ( ( X7 @ sK3 )
!= $true ) ),
inference(cnf_transformation,[],[f17]) ).
thf(f123,plain,
( spl11_3
| spl11_2
| spl11_10 ),
inference(avatar_split_clause,[],[f67,f120,f82,f85]) ).
thf(f67,plain,
! [X9: a > $o] :
( ( $true
= ( sK0 @ sK4 ) )
| ( ( sK0 @ X9 )
!= $true )
| ( $true
!= ( X9 @ sK5 ) )
| ( ( sK9 @ sK7 )
= $true ) ),
inference(duplicate_literal_removal,[],[f30]) ).
thf(f30,plain,
! [X9: a > $o] :
( ( $true
!= ( X9 @ sK5 ) )
| ( $true
!= ( X9 @ sK5 ) )
| ( ( sK9 @ sK7 )
= $true )
| ( ( sK0 @ X9 )
!= $true )
| ( $true
= ( sK0 @ sK4 ) ) ),
inference(cnf_transformation,[],[f17]) ).
thf(f118,plain,
( spl11_7
| spl11_2
| spl11_8 ),
inference(avatar_split_clause,[],[f68,f110,f82,f105]) ).
thf(f68,plain,
! [X9: a > $o] :
( ( $true
!= ( X9 @ sK5 ) )
| ( $true
= ( sK4 @ sK2 ) )
| ( ( sK0 @ X9 )
!= $true )
| ( $true
= ( sK0 @ sK9 ) ) ),
inference(duplicate_literal_removal,[],[f35]) ).
thf(f35,plain,
! [X9: a > $o] :
( ( $true
= ( sK0 @ sK9 ) )
| ( $true
!= ( X9 @ sK5 ) )
| ( $true
!= ( X9 @ sK5 ) )
| ( $true
= ( sK4 @ sK2 ) )
| ( ( sK0 @ X9 )
!= $true ) ),
inference(cnf_transformation,[],[f17]) ).
thf(f117,plain,
( spl11_2
| spl11_3
| spl11_9 ),
inference(avatar_split_clause,[],[f69,f115,f85,f82]) ).
thf(f69,plain,
! [X9: a > $o,X13: a > $o] :
( ( $true
= ( sK0 @ sK4 ) )
| ( ( sK0 @ X13 )
!= $true )
| ( ( X13 @ sK8 )
!= $true )
| ( $true
!= ( X9 @ sK5 ) )
| ( ( sK0 @ X9 )
!= $true )
| ( ( X13 @ sK7 )
!= $true ) ),
inference(duplicate_literal_removal,[],[f31]) ).
thf(f31,plain,
! [X9: a > $o,X13: a > $o] :
( ( ( X13 @ sK8 )
!= $true )
| ( ( sK0 @ X9 )
!= $true )
| ( $true
!= ( X9 @ sK5 ) )
| ( ( X13 @ sK7 )
!= $true )
| ( $true
!= ( X9 @ sK5 ) )
| ( $true
= ( sK0 @ sK4 ) )
| ( ( sK0 @ X13 )
!= $true ) ),
inference(cnf_transformation,[],[f17]) ).
thf(f113,plain,
( spl11_1
| spl11_2
| spl11_8 ),
inference(avatar_split_clause,[],[f70,f110,f82,f78]) ).
thf(f70,plain,
! [X9: a > $o] :
( ( ( sK10 @ sK6 )
= $true )
| ( ( sK0 @ X9 )
!= $true )
| ( $true
!= ( X9 @ sK5 ) )
| ( $true
= ( sK4 @ sK2 ) ) ),
inference(duplicate_literal_removal,[],[f32]) ).
thf(f32,plain,
! [X9: a > $o] :
( ( ( sK0 @ X9 )
!= $true )
| ( $true
!= ( X9 @ sK5 ) )
| ( $true
= ( sK4 @ sK2 ) )
| ( $true
!= ( X9 @ sK5 ) )
| ( ( sK10 @ sK6 )
= $true ) ),
inference(cnf_transformation,[],[f17]) ).
thf(f108,plain,
( spl11_2
| spl11_7
| spl11_3 ),
inference(avatar_split_clause,[],[f71,f85,f105,f82]) ).
thf(f71,plain,
! [X9: a > $o] :
( ( $true
= ( sK0 @ sK4 ) )
| ( $true
!= ( X9 @ sK5 ) )
| ( ( sK0 @ X9 )
!= $true )
| ( $true
= ( sK0 @ sK9 ) ) ),
inference(duplicate_literal_removal,[],[f28]) ).
thf(f28,plain,
! [X9: a > $o] :
( ( ( sK0 @ X9 )
!= $true )
| ( $true
!= ( X9 @ sK5 ) )
| ( $true
= ( sK0 @ sK9 ) )
| ( $true
= ( sK0 @ sK4 ) )
| ( $true
!= ( X9 @ sK5 ) ) ),
inference(cnf_transformation,[],[f17]) ).
thf(f103,plain,
( spl11_4
| spl11_5
| spl11_2 ),
inference(avatar_split_clause,[],[f72,f82,f95,f90]) ).
thf(f72,plain,
! [X9: a > $o] :
( ( ( sK0 @ X9 )
!= $true )
| ( ( sK9 @ sK6 )
= $true )
| ( $true
!= ( X9 @ sK5 ) )
| ( ( sK4 @ sK3 )
= $true ) ),
inference(duplicate_literal_removal,[],[f43]) ).
thf(f43,plain,
! [X9: a > $o] :
( ( ( sK9 @ sK6 )
= $true )
| ( ( sK0 @ X9 )
!= $true )
| ( $true
!= ( X9 @ sK5 ) )
| ( ( sK4 @ sK3 )
= $true )
| ( $true
!= ( X9 @ sK5 ) ) ),
inference(cnf_transformation,[],[f17]) ).
thf(f102,plain,
( spl11_2
| spl11_1
| spl11_6 ),
inference(avatar_split_clause,[],[f73,f100,f78,f82]) ).
thf(f73,plain,
! [X9: a > $o,X7: a > $o] :
( ( ( sK10 @ sK6 )
= $true )
| ( $true
!= ( X7 @ sK2 ) )
| ( ( sK0 @ X7 )
!= $true )
| ( ( X7 @ sK3 )
!= $true )
| ( $true
!= ( X9 @ sK5 ) )
| ( ( sK0 @ X9 )
!= $true ) ),
inference(duplicate_literal_removal,[],[f18]) ).
thf(f18,plain,
! [X9: a > $o,X7: a > $o] :
( ( $true
!= ( X9 @ sK5 ) )
| ( ( sK0 @ X7 )
!= $true )
| ( $true
!= ( X7 @ sK2 ) )
| ( $true
!= ( X9 @ sK5 ) )
| ( ( X7 @ sK3 )
!= $true )
| ( ( sK0 @ X9 )
!= $true )
| ( ( sK10 @ sK6 )
= $true ) ),
inference(cnf_transformation,[],[f17]) ).
thf(f98,plain,
( spl11_1
| spl11_2
| spl11_5 ),
inference(avatar_split_clause,[],[f74,f95,f82,f78]) ).
thf(f74,plain,
! [X9: a > $o] :
( ( ( sK10 @ sK6 )
= $true )
| ( ( sK4 @ sK3 )
= $true )
| ( ( sK0 @ X9 )
!= $true )
| ( $true
!= ( X9 @ sK5 ) ) ),
inference(duplicate_literal_removal,[],[f39]) ).
thf(f39,plain,
! [X9: a > $o] :
( ( $true
!= ( X9 @ sK5 ) )
| ( $true
!= ( X9 @ sK5 ) )
| ( ( sK0 @ X9 )
!= $true )
| ( ( sK4 @ sK3 )
= $true )
| ( ( sK10 @ sK6 )
= $true ) ),
inference(cnf_transformation,[],[f17]) ).
thf(f93,plain,
( spl11_2
| spl11_4
| spl11_3 ),
inference(avatar_split_clause,[],[f75,f85,f90,f82]) ).
thf(f75,plain,
! [X9: a > $o] :
( ( $true
= ( sK0 @ sK4 ) )
| ( ( sK9 @ sK6 )
= $true )
| ( $true
!= ( X9 @ sK5 ) )
| ( ( sK0 @ X9 )
!= $true ) ),
inference(duplicate_literal_removal,[],[f29]) ).
thf(f29,plain,
! [X9: a > $o] :
( ( ( sK9 @ sK6 )
= $true )
| ( $true
!= ( X9 @ sK5 ) )
| ( $true
= ( sK0 @ sK4 ) )
| ( ( sK0 @ X9 )
!= $true )
| ( $true
!= ( X9 @ sK5 ) ) ),
inference(cnf_transformation,[],[f17]) ).
thf(f88,plain,
( spl11_1
| spl11_2
| spl11_3 ),
inference(avatar_split_clause,[],[f76,f85,f82,f78]) ).
thf(f76,plain,
! [X9: a > $o] :
( ( $true
= ( sK0 @ sK4 ) )
| ( ( sK0 @ X9 )
!= $true )
| ( $true
!= ( X9 @ sK5 ) )
| ( ( sK10 @ sK6 )
= $true ) ),
inference(duplicate_literal_removal,[],[f25]) ).
thf(f25,plain,
! [X9: a > $o] :
( ( $true
= ( sK0 @ sK4 ) )
| ( $true
!= ( X9 @ sK5 ) )
| ( ( sK0 @ X9 )
!= $true )
| ( ( sK10 @ sK6 )
= $true )
| ( $true
!= ( X9 @ sK5 ) ) ),
inference(cnf_transformation,[],[f17]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.13 % Problem : SEV009^5 : TPTP v8.2.0. Released v4.0.0.
% 0.07/0.13 % Command : run_vampire %s %d THM
% 0.12/0.34 % Computer : n020.cluster.edu
% 0.12/0.34 % Model : x86_64 x86_64
% 0.12/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.34 % Memory : 8042.1875MB
% 0.12/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.34 % CPULimit : 300
% 0.12/0.34 % WCLimit : 300
% 0.12/0.34 % DateTime : Fri Jun 21 19:31:24 EDT 2024
% 0.12/0.34 % CPUTime :
% 0.12/0.36 This is a TH0_THM_EQU_NAR problem
% 0.12/0.36 Running higher-order theorem proving
% 0.12/0.36 Running /export/starexec/sandbox/solver/bin/vampire_ho --cores 7 --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_hol /export/starexec/sandbox/benchmark/theBenchmark.p -m 16384 -t 300
% 0.12/0.38 % (23753)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 theBenchmark for (2999ds/4Mi)
% 0.12/0.38 % (23755)lrs+10_1:1_au=on:inj=on:i=2:si=on:rtra=on_0 on theBenchmark for (2999ds/2Mi)
% 0.12/0.38 % (23756)lrs+1002_1:128_aac=none:au=on:cnfonf=lazy_not_gen_be_off:sos=all:i=2:si=on:rtra=on_0 on theBenchmark for (2999ds/2Mi)
% 0.12/0.38 % (23754)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 theBenchmark for (2999ds/27Mi)
% 0.12/0.38 % (23752)lrs+1002_1:8_bd=off:fd=off:hud=10:tnu=1:i=183:si=on:rtra=on_0 on theBenchmark for (2999ds/183Mi)
% 0.12/0.38 % (23757)lrs+1002_1:1_au=on:bd=off:e2e=on:sd=2:sos=on:ss=axioms:i=275:si=on:rtra=on_0 on theBenchmark for (2999ds/275Mi)
% 0.12/0.38 % (23758)lrs+1004_1:128_cond=on:e2e=on:sp=weighted_frequency:i=18:si=on:rtra=on_0 on theBenchmark for (2999ds/18Mi)
% 0.12/0.38 % (23755)Instruction limit reached!
% 0.12/0.38 % (23755)------------------------------
% 0.12/0.38 % (23755)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200)
% 0.12/0.38 % (23755)Termination reason: Unknown
% 0.12/0.38 % (23755)Termination phase: Preprocessing 3
% 0.12/0.38
% 0.12/0.38 % (23755)Memory used [KB]: 1023
% 0.12/0.38 % (23755)Time elapsed: 0.004 s
% 0.12/0.38 % (23755)Instructions burned: 2 (million)
% 0.12/0.38 % (23755)------------------------------
% 0.12/0.38 % (23755)------------------------------
% 0.12/0.38 % (23756)Instruction limit reached!
% 0.12/0.38 % (23756)------------------------------
% 0.12/0.38 % (23756)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200)
% 0.12/0.38 % (23756)Termination reason: Unknown
% 0.12/0.38 % (23756)Termination phase: Property scanning
% 0.12/0.38
% 0.12/0.38 % (23756)Memory used [KB]: 1023
% 0.12/0.38 % (23756)Time elapsed: 0.004 s
% 0.12/0.38 % (23756)Instructions burned: 2 (million)
% 0.12/0.38 % (23756)------------------------------
% 0.12/0.38 % (23756)------------------------------
% 0.12/0.39 % (23753)Instruction limit reached!
% 0.12/0.39 % (23753)------------------------------
% 0.12/0.39 % (23753)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200)
% 0.12/0.39 % (23753)Termination reason: Unknown
% 0.12/0.39 % (23753)Termination phase: Saturation
% 0.12/0.39
% 0.12/0.39 % (23753)Memory used [KB]: 5500
% 0.12/0.39 % (23753)Time elapsed: 0.005 s
% 0.12/0.39 % (23753)Instructions burned: 4 (million)
% 0.12/0.39 % (23753)------------------------------
% 0.12/0.39 % (23753)------------------------------
% 0.12/0.40 % (23754)First to succeed.
% 0.12/0.40 % (23758)Instruction limit reached!
% 0.12/0.40 % (23758)------------------------------
% 0.12/0.40 % (23758)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200)
% 0.12/0.40 % (23758)Termination reason: Unknown
% 0.12/0.40 % (23758)Termination phase: Saturation
% 0.12/0.40
% 0.12/0.40 % (23758)Memory used [KB]: 5628
% 0.12/0.40 % (23758)Time elapsed: 0.017 s
% 0.12/0.40 % (23758)Instructions burned: 19 (million)
% 0.12/0.40 % (23758)------------------------------
% 0.12/0.40 % (23758)------------------------------
% 0.12/0.40 % (23759)lrs+10_1:1_bet=on:cnfonf=off:fd=off:hud=5:inj=on:i=3:si=on:rtra=on_0 on theBenchmark for (2999ds/3Mi)
% 0.12/0.40 % (23760)lrs+1002_1:1_cnfonf=lazy_not_be_gen:hud=14:prag=on:sp=weighted_frequency:tnu=1:i=37:si=on:rtra=on_0 on theBenchmark for (2999ds/37Mi)
% 0.12/0.40 % (23754)Refutation found. Thanks to Tanya!
% 0.12/0.40 % SZS status Theorem for theBenchmark
% 0.12/0.40 % SZS output start Proof for theBenchmark
% See solution above
% 0.12/0.40 % (23754)------------------------------
% 0.12/0.40 % (23754)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200)
% 0.12/0.40 % (23754)Termination reason: Refutation
% 0.12/0.40
% 0.12/0.40 % (23754)Memory used [KB]: 5756
% 0.12/0.40 % (23754)Time elapsed: 0.020 s
% 0.12/0.40 % (23754)Instructions burned: 17 (million)
% 0.12/0.40 % (23754)------------------------------
% 0.12/0.40 % (23754)------------------------------
% 0.12/0.40 % (23751)Success in time 0.034 s
%------------------------------------------------------------------------------