TSTP Solution File: SEU905^5 by Vampire---4.8
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Vampire---4.8
% Problem : SEU905^5 : TPTP v8.2.0. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule file --schedule_file /export/starexec/sandbox/solver/bin/quickGreedyProduceRating_steal_pow3.txt --cores 8 -m 12000 -t %d %s
% Computer : n027.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Tue May 21 03:52:08 EDT 2024
% Result : Theorem 0.20s 0.39s
% Output : Refutation 0.20s
% Verified :
% SZS Type : Refutation
% Derivation depth : 16
% Number of leaves : 42
% Syntax : Number of formulae : 120 ( 5 unt; 24 typ; 0 def)
% Number of atoms : 1080 ( 418 equ; 0 cnn)
% Maximal formula atoms : 58 ( 11 avg)
% Number of connectives : 1896 ( 244 ~; 238 |; 191 &;1156 @)
% ( 10 <=>; 57 =>; 0 <=; 0 <~>)
% Maximal formula depth : 25 ( 6 avg)
% Number of types : 4 ( 3 usr)
% Number of type conns : 188 ( 188 >; 0 *; 0 +; 0 <<)
% Number of symbols : 31 ( 28 usr; 15 con; 0-2 aty)
% Number of variables : 342 ( 0 ^ 256 !; 85 ?; 342 :)
% ( 1 !>; 0 ?*; 0 @-; 0 @+)
% Comments :
%------------------------------------------------------------------------------
thf(type_def_5,type,
g: $tType ).
thf(type_def_6,type,
b: $tType ).
thf(type_def_8,type,
a: $tType ).
thf(func_def_0,type,
g: $tType ).
thf(func_def_1,type,
b: $tType ).
thf(func_def_2,type,
a: $tType ).
thf(func_def_6,type,
sP0: ( a > a > a ) > ( a > $o ) > $o ).
thf(func_def_7,type,
sP1: ( g > g > g ) > ( g > $o ) > $o ).
thf(func_def_8,type,
sK2: ( g > g > g ) > ( g > $o ) > g ).
thf(func_def_9,type,
sK3: ( g > g > g ) > ( g > $o ) > g ).
thf(func_def_10,type,
sK4: ( a > a > a ) > ( a > $o ) > a ).
thf(func_def_11,type,
sK5: ( a > a > a ) > ( a > $o ) > a ).
thf(func_def_12,type,
sK6: b > $o ).
thf(func_def_13,type,
sK7: a > $o ).
thf(func_def_14,type,
sK8: b > b > b ).
thf(func_def_15,type,
sK9: g > $o ).
thf(func_def_16,type,
sK10: g > g > g ).
thf(func_def_17,type,
sK11: a > a > a ).
thf(func_def_18,type,
sK12: g > b ).
thf(func_def_19,type,
sK13: b > a ).
thf(func_def_20,type,
sK14: g ).
thf(func_def_21,type,
sK15: g ).
thf(func_def_22,type,
sK16: g ).
thf(func_def_24,type,
ph18:
!>[X0: $tType] : X0 ).
thf(f146,plain,
$false,
inference(avatar_sat_refutation,[],[f60,f65,f70,f75,f76,f77,f83,f88,f124,f128,f131,f135,f145]) ).
thf(f145,plain,
( ~ spl17_5
| ~ spl17_6
| spl17_11 ),
inference(avatar_contradiction_clause,[],[f144]) ).
thf(f144,plain,
( $false
| ~ spl17_5
| ~ spl17_6
| spl17_11 ),
inference(subsumption_resolution,[],[f143,f69]) ).
thf(f69,plain,
( ( ( sK9 @ sK15 )
= $true )
| ~ spl17_6 ),
inference(avatar_component_clause,[],[f67]) ).
thf(f67,plain,
( spl17_6
<=> ( ( sK9 @ sK15 )
= $true ) ),
introduced(avatar_definition,[new_symbols(naming,[spl17_6])]) ).
thf(f143,plain,
( ( ( sK9 @ sK15 )
!= $true )
| ~ spl17_5
| spl17_11 ),
inference(subsumption_resolution,[],[f142,f64]) ).
thf(f64,plain,
( ( ( sK9 @ sK14 )
= $true )
| ~ spl17_5 ),
inference(avatar_component_clause,[],[f62]) ).
thf(f62,plain,
( spl17_5
<=> ( ( sK9 @ sK14 )
= $true ) ),
introduced(avatar_definition,[new_symbols(naming,[spl17_5])]) ).
thf(f142,plain,
( ( ( sK9 @ sK14 )
!= $true )
| ( ( sK9 @ sK15 )
!= $true )
| spl17_11 ),
inference(trivial_inequality_removal,[],[f141]) ).
thf(f141,plain,
( ( ( sK9 @ sK15 )
!= $true )
| ( ( sK13 @ ( sK12 @ ( sK10 @ sK15 @ sK14 ) ) )
!= ( sK13 @ ( sK12 @ ( sK10 @ sK15 @ sK14 ) ) ) )
| ( ( sK9 @ sK14 )
!= $true )
| spl17_11 ),
inference(superposition,[],[f119,f30]) ).
thf(f30,plain,
! [X24: g,X23: g] :
( ( ( sK12 @ ( sK10 @ X24 @ X23 ) )
= ( sK8 @ ( sK12 @ X24 ) @ ( sK12 @ X23 ) ) )
| ( $true
!= ( sK9 @ X23 ) )
| ( $true
!= ( sK9 @ X24 ) ) ),
inference(cnf_transformation,[],[f23]) ).
thf(f23,plain,
( ! [X8: g,X9: g] :
( ( ( sK9 @ ( sK10 @ X8 @ X9 ) )
= $true )
| ( ( sK9 @ X9 )
!= $true )
| ( ( sK9 @ X8 )
!= $true ) )
& ! [X10: b,X11: b] :
( ( ( sK6 @ X11 )
!= $true )
| ( $true
!= ( sK6 @ X10 ) )
| ( ( sK6 @ ( sK8 @ X10 @ X11 ) )
= $true ) )
& ! [X12: g] :
( ( ( sK6 @ ( sK12 @ X12 ) )
= $true )
| ( ( sK9 @ X12 )
!= $true ) )
& ! [X13: b,X14: b] :
( ( $true
= ( sK6 @ ( sK8 @ X13 @ X14 ) ) )
| ( ( sK6 @ X13 )
!= $true )
| ( $true
!= ( sK6 @ X14 ) ) )
& ! [X15: b] :
( ( ( sK6 @ X15 )
!= $true )
| ( ( sK7 @ ( sK13 @ X15 ) )
= $true ) )
& ! [X16: b,X17: b] :
( ( ( sK13 @ ( sK8 @ X17 @ X16 ) )
= ( sK11 @ ( sK13 @ X17 ) @ ( sK13 @ X16 ) ) )
| ( $true
!= ( sK6 @ X17 ) )
| ( ( sK6 @ X16 )
!= $true ) )
& ! [X18: a,X19: a] :
( ( ( sK7 @ X19 )
!= $true )
| ( ( sK7 @ X18 )
!= $true )
| ( $true
= ( sK7 @ ( sK11 @ X18 @ X19 ) ) ) )
& ( ( ( ( sK11 @ ( sK13 @ ( sK12 @ sK15 ) ) @ ( sK13 @ ( sK12 @ sK14 ) ) )
!= ( sK13 @ ( sK12 @ ( sK10 @ sK15 @ sK14 ) ) ) )
& ( ( sK9 @ sK15 )
= $true )
& ( ( sK9 @ sK14 )
= $true ) )
| ( $true
= ( sP1 @ sK10 @ sK9 ) )
| ( $true
= ( sP0 @ sK11 @ sK7 ) )
| ( ( $true
= ( sK9 @ sK16 ) )
& ( ( sK7 @ ( sK13 @ ( sK12 @ sK16 ) ) )
!= $true ) ) )
& ! [X23: g,X24: g] :
( ( ( sK12 @ ( sK10 @ X24 @ X23 ) )
= ( sK8 @ ( sK12 @ X24 ) @ ( sK12 @ X23 ) ) )
| ( $true
!= ( sK9 @ X24 ) )
| ( $true
!= ( sK9 @ X23 ) ) ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK6,sK7,sK8,sK9,sK10,sK11,sK12,sK13,sK14,sK15,sK16])],[f19,f22,f21,f20]) ).
thf(f20,plain,
( ? [X0: b > $o,X1: a > $o,X2: b > b > b,X3: g > $o,X4: g > g > g,X5: a > a > a,X6: g > b,X7: b > a] :
( ! [X8: g,X9: g] :
( ( $true
= ( X3 @ ( X4 @ X8 @ X9 ) ) )
| ( $true
!= ( X3 @ X9 ) )
| ( $true
!= ( X3 @ X8 ) ) )
& ! [X10: b,X11: b] :
( ( ( X0 @ X11 )
!= $true )
| ( $true
!= ( X0 @ X10 ) )
| ( $true
= ( X0 @ ( X2 @ X10 @ X11 ) ) ) )
& ! [X12: g] :
( ( ( X0 @ ( X6 @ X12 ) )
= $true )
| ( $true
!= ( X3 @ X12 ) ) )
& ! [X13: b,X14: b] :
( ( ( X0 @ ( X2 @ X13 @ X14 ) )
= $true )
| ( $true
!= ( X0 @ X13 ) )
| ( $true
!= ( X0 @ X14 ) ) )
& ! [X15: b] :
( ( $true
!= ( X0 @ X15 ) )
| ( $true
= ( X1 @ ( X7 @ X15 ) ) ) )
& ! [X16: b,X17: b] :
( ( ( X5 @ ( X7 @ X17 ) @ ( X7 @ X16 ) )
= ( X7 @ ( X2 @ X17 @ X16 ) ) )
| ( $true
!= ( X0 @ X17 ) )
| ( $true
!= ( X0 @ X16 ) ) )
& ! [X18: a,X19: a] :
( ( ( X1 @ X19 )
!= $true )
| ( ( X1 @ X18 )
!= $true )
| ( $true
= ( X1 @ ( X5 @ X18 @ X19 ) ) ) )
& ( ? [X20: g,X21: g] :
( ( ( X7 @ ( X6 @ ( X4 @ X21 @ X20 ) ) )
!= ( X5 @ ( X7 @ ( X6 @ X21 ) ) @ ( X7 @ ( X6 @ X20 ) ) ) )
& ( $true
= ( X3 @ X21 ) )
& ( ( X3 @ X20 )
= $true ) )
| ( $true
= ( sP1 @ X4 @ X3 ) )
| ( $true
= ( sP0 @ X5 @ X1 ) )
| ? [X22: g] :
( ( ( X3 @ X22 )
= $true )
& ( $true
!= ( X1 @ ( X7 @ ( X6 @ X22 ) ) ) ) ) )
& ! [X23: g,X24: g] :
( ( ( X2 @ ( X6 @ X24 ) @ ( X6 @ X23 ) )
= ( X6 @ ( X4 @ X24 @ X23 ) ) )
| ( ( X3 @ X24 )
!= $true )
| ( ( X3 @ X23 )
!= $true ) ) )
=> ( ! [X9: g,X8: g] :
( ( ( sK9 @ ( sK10 @ X8 @ X9 ) )
= $true )
| ( ( sK9 @ X9 )
!= $true )
| ( ( sK9 @ X8 )
!= $true ) )
& ! [X11: b,X10: b] :
( ( ( sK6 @ X11 )
!= $true )
| ( $true
!= ( sK6 @ X10 ) )
| ( ( sK6 @ ( sK8 @ X10 @ X11 ) )
= $true ) )
& ! [X12: g] :
( ( ( sK6 @ ( sK12 @ X12 ) )
= $true )
| ( ( sK9 @ X12 )
!= $true ) )
& ! [X14: b,X13: b] :
( ( $true
= ( sK6 @ ( sK8 @ X13 @ X14 ) ) )
| ( ( sK6 @ X13 )
!= $true )
| ( $true
!= ( sK6 @ X14 ) ) )
& ! [X15: b] :
( ( ( sK6 @ X15 )
!= $true )
| ( ( sK7 @ ( sK13 @ X15 ) )
= $true ) )
& ! [X17: b,X16: b] :
( ( ( sK13 @ ( sK8 @ X17 @ X16 ) )
= ( sK11 @ ( sK13 @ X17 ) @ ( sK13 @ X16 ) ) )
| ( $true
!= ( sK6 @ X17 ) )
| ( ( sK6 @ X16 )
!= $true ) )
& ! [X19: a,X18: a] :
( ( ( sK7 @ X19 )
!= $true )
| ( ( sK7 @ X18 )
!= $true )
| ( $true
= ( sK7 @ ( sK11 @ X18 @ X19 ) ) ) )
& ( ? [X21: g,X20: g] :
( ( ( sK13 @ ( sK12 @ ( sK10 @ X21 @ X20 ) ) )
!= ( sK11 @ ( sK13 @ ( sK12 @ X21 ) ) @ ( sK13 @ ( sK12 @ X20 ) ) ) )
& ( ( sK9 @ X21 )
= $true )
& ( $true
= ( sK9 @ X20 ) ) )
| ( $true
= ( sP1 @ sK10 @ sK9 ) )
| ( $true
= ( sP0 @ sK11 @ sK7 ) )
| ? [X22: g] :
( ( ( sK9 @ X22 )
= $true )
& ( $true
!= ( sK7 @ ( sK13 @ ( sK12 @ X22 ) ) ) ) ) )
& ! [X24: g,X23: g] :
( ( ( sK12 @ ( sK10 @ X24 @ X23 ) )
= ( sK8 @ ( sK12 @ X24 ) @ ( sK12 @ X23 ) ) )
| ( $true
!= ( sK9 @ X24 ) )
| ( $true
!= ( sK9 @ X23 ) ) ) ) ),
introduced(choice_axiom,[]) ).
thf(f21,plain,
( ? [X21: g,X20: g] :
( ( ( sK13 @ ( sK12 @ ( sK10 @ X21 @ X20 ) ) )
!= ( sK11 @ ( sK13 @ ( sK12 @ X21 ) ) @ ( sK13 @ ( sK12 @ X20 ) ) ) )
& ( ( sK9 @ X21 )
= $true )
& ( $true
= ( sK9 @ X20 ) ) )
=> ( ( ( sK11 @ ( sK13 @ ( sK12 @ sK15 ) ) @ ( sK13 @ ( sK12 @ sK14 ) ) )
!= ( sK13 @ ( sK12 @ ( sK10 @ sK15 @ sK14 ) ) ) )
& ( ( sK9 @ sK15 )
= $true )
& ( ( sK9 @ sK14 )
= $true ) ) ),
introduced(choice_axiom,[]) ).
thf(f22,plain,
( ? [X22: g] :
( ( ( sK9 @ X22 )
= $true )
& ( $true
!= ( sK7 @ ( sK13 @ ( sK12 @ X22 ) ) ) ) )
=> ( ( $true
= ( sK9 @ sK16 ) )
& ( ( sK7 @ ( sK13 @ ( sK12 @ sK16 ) ) )
!= $true ) ) ),
introduced(choice_axiom,[]) ).
thf(f19,plain,
? [X0: b > $o,X1: a > $o,X2: b > b > b,X3: g > $o,X4: g > g > g,X5: a > a > a,X6: g > b,X7: b > a] :
( ! [X8: g,X9: g] :
( ( $true
= ( X3 @ ( X4 @ X8 @ X9 ) ) )
| ( $true
!= ( X3 @ X9 ) )
| ( $true
!= ( X3 @ X8 ) ) )
& ! [X10: b,X11: b] :
( ( ( X0 @ X11 )
!= $true )
| ( $true
!= ( X0 @ X10 ) )
| ( $true
= ( X0 @ ( X2 @ X10 @ X11 ) ) ) )
& ! [X12: g] :
( ( ( X0 @ ( X6 @ X12 ) )
= $true )
| ( $true
!= ( X3 @ X12 ) ) )
& ! [X13: b,X14: b] :
( ( ( X0 @ ( X2 @ X13 @ X14 ) )
= $true )
| ( $true
!= ( X0 @ X13 ) )
| ( $true
!= ( X0 @ X14 ) ) )
& ! [X15: b] :
( ( $true
!= ( X0 @ X15 ) )
| ( $true
= ( X1 @ ( X7 @ X15 ) ) ) )
& ! [X16: b,X17: b] :
( ( ( X5 @ ( X7 @ X17 ) @ ( X7 @ X16 ) )
= ( X7 @ ( X2 @ X17 @ X16 ) ) )
| ( $true
!= ( X0 @ X17 ) )
| ( $true
!= ( X0 @ X16 ) ) )
& ! [X18: a,X19: a] :
( ( ( X1 @ X19 )
!= $true )
| ( ( X1 @ X18 )
!= $true )
| ( $true
= ( X1 @ ( X5 @ X18 @ X19 ) ) ) )
& ( ? [X20: g,X21: g] :
( ( ( X7 @ ( X6 @ ( X4 @ X21 @ X20 ) ) )
!= ( X5 @ ( X7 @ ( X6 @ X21 ) ) @ ( X7 @ ( X6 @ X20 ) ) ) )
& ( $true
= ( X3 @ X21 ) )
& ( ( X3 @ X20 )
= $true ) )
| ( $true
= ( sP1 @ X4 @ X3 ) )
| ( $true
= ( sP0 @ X5 @ X1 ) )
| ? [X22: g] :
( ( ( X3 @ X22 )
= $true )
& ( $true
!= ( X1 @ ( X7 @ ( X6 @ X22 ) ) ) ) ) )
& ! [X23: g,X24: g] :
( ( ( X2 @ ( X6 @ X24 ) @ ( X6 @ X23 ) )
= ( X6 @ ( X4 @ X24 @ X23 ) ) )
| ( ( X3 @ X24 )
!= $true )
| ( ( X3 @ X23 )
!= $true ) ) ),
inference(rectify,[],[f10]) ).
thf(f10,plain,
? [X3: b > $o,X7: a > $o,X1: b > b > b,X0: g > $o,X2: g > g > g,X6: a > a > a,X5: g > b,X4: b > a] :
( ! [X18: g,X19: g] :
( ( $true
= ( X0 @ ( X2 @ X18 @ X19 ) ) )
| ( $true
!= ( X0 @ X19 ) )
| ( $true
!= ( X0 @ X18 ) ) )
& ! [X27: b,X28: b] :
( ( ( X3 @ X28 )
!= $true )
| ( $true
!= ( X3 @ X27 ) )
| ( ( X3 @ ( X1 @ X27 @ X28 ) )
= $true ) )
& ! [X24: g] :
( ( ( X3 @ ( X5 @ X24 ) )
= $true )
| ( $true
!= ( X0 @ X24 ) ) )
& ! [X22: b,X23: b] :
( ( $true
= ( X3 @ ( X1 @ X22 @ X23 ) ) )
| ( ( X3 @ X22 )
!= $true )
| ( $true
!= ( X3 @ X23 ) ) )
& ! [X15: b] :
( ( $true
!= ( X3 @ X15 ) )
| ( $true
= ( X7 @ ( X4 @ X15 ) ) ) )
& ! [X26: b,X25: b] :
( ( ( X4 @ ( X1 @ X25 @ X26 ) )
= ( X6 @ ( X4 @ X25 ) @ ( X4 @ X26 ) ) )
| ( $true
!= ( X3 @ X25 ) )
| ( $true
!= ( X3 @ X26 ) ) )
& ! [X20: a,X21: a] :
( ( $true
!= ( X7 @ X21 ) )
| ( $true
!= ( X7 @ X20 ) )
| ( ( X7 @ ( X6 @ X20 @ X21 ) )
= $true ) )
& ( ? [X12: g,X11: g] :
( ( ( X6 @ ( X4 @ ( X5 @ X11 ) ) @ ( X4 @ ( X5 @ X12 ) ) )
!= ( X4 @ ( X5 @ ( X2 @ X11 @ X12 ) ) ) )
& ( ( X0 @ X11 )
= $true )
& ( $true
= ( X0 @ X12 ) ) )
| ( $true
= ( sP1 @ X2 @ X0 ) )
| ( ( sP0 @ X6 @ X7 )
= $true )
| ? [X10: g] :
( ( ( X0 @ X10 )
= $true )
& ( $true
!= ( X7 @ ( X4 @ ( X5 @ X10 ) ) ) ) ) )
& ! [X16: g,X17: g] :
( ( ( X5 @ ( X2 @ X17 @ X16 ) )
= ( X1 @ ( X5 @ X17 ) @ ( X5 @ X16 ) ) )
| ( $true
!= ( X0 @ X17 ) )
| ( $true
!= ( X0 @ X16 ) ) ) ),
inference(definition_folding,[],[f7,f9,f8]) ).
thf(f8,plain,
! [X7: a > $o,X6: a > a > a] :
( ? [X13: a,X14: a] :
( ( $true
= ( X7 @ X13 ) )
& ( $true
!= ( X7 @ ( X6 @ X13 @ X14 ) ) )
& ( ( X7 @ X14 )
= $true ) )
| ( ( sP0 @ X6 @ X7 )
!= $true ) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[=])]) ).
thf(f9,plain,
! [X0: g > $o,X2: g > g > g] :
( ? [X8: g,X9: g] :
( ( ( X0 @ X9 )
= $true )
& ( $true
= ( X0 @ X8 ) )
& ( ( X0 @ ( X2 @ X9 @ X8 ) )
!= $true ) )
| ( $true
!= ( sP1 @ X2 @ X0 ) ) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[=])]) ).
thf(f7,plain,
? [X3: b > $o,X7: a > $o,X1: b > b > b,X0: g > $o,X2: g > g > g,X6: a > a > a,X5: g > b,X4: b > a] :
( ! [X18: g,X19: g] :
( ( $true
= ( X0 @ ( X2 @ X18 @ X19 ) ) )
| ( $true
!= ( X0 @ X19 ) )
| ( $true
!= ( X0 @ X18 ) ) )
& ! [X27: b,X28: b] :
( ( ( X3 @ X28 )
!= $true )
| ( $true
!= ( X3 @ X27 ) )
| ( ( X3 @ ( X1 @ X27 @ X28 ) )
= $true ) )
& ! [X24: g] :
( ( ( X3 @ ( X5 @ X24 ) )
= $true )
| ( $true
!= ( X0 @ X24 ) ) )
& ! [X22: b,X23: b] :
( ( $true
= ( X3 @ ( X1 @ X22 @ X23 ) ) )
| ( ( X3 @ X22 )
!= $true )
| ( $true
!= ( X3 @ X23 ) ) )
& ! [X15: b] :
( ( $true
!= ( X3 @ X15 ) )
| ( $true
= ( X7 @ ( X4 @ X15 ) ) ) )
& ! [X26: b,X25: b] :
( ( ( X4 @ ( X1 @ X25 @ X26 ) )
= ( X6 @ ( X4 @ X25 ) @ ( X4 @ X26 ) ) )
| ( $true
!= ( X3 @ X25 ) )
| ( $true
!= ( X3 @ X26 ) ) )
& ! [X20: a,X21: a] :
( ( $true
!= ( X7 @ X21 ) )
| ( $true
!= ( X7 @ X20 ) )
| ( ( X7 @ ( X6 @ X20 @ X21 ) )
= $true ) )
& ( ? [X12: g,X11: g] :
( ( ( X6 @ ( X4 @ ( X5 @ X11 ) ) @ ( X4 @ ( X5 @ X12 ) ) )
!= ( X4 @ ( X5 @ ( X2 @ X11 @ X12 ) ) ) )
& ( ( X0 @ X11 )
= $true )
& ( $true
= ( X0 @ X12 ) ) )
| ? [X8: g,X9: g] :
( ( ( X0 @ X9 )
= $true )
& ( $true
= ( X0 @ X8 ) )
& ( ( X0 @ ( X2 @ X9 @ X8 ) )
!= $true ) )
| ? [X13: a,X14: a] :
( ( $true
= ( X7 @ X13 ) )
& ( $true
!= ( X7 @ ( X6 @ X13 @ X14 ) ) )
& ( ( X7 @ X14 )
= $true ) )
| ? [X10: g] :
( ( ( X0 @ X10 )
= $true )
& ( $true
!= ( X7 @ ( X4 @ ( X5 @ X10 ) ) ) ) ) )
& ! [X16: g,X17: g] :
( ( ( X5 @ ( X2 @ X17 @ X16 ) )
= ( X1 @ ( X5 @ X17 ) @ ( X5 @ X16 ) ) )
| ( $true
!= ( X0 @ X17 ) )
| ( $true
!= ( X0 @ X16 ) ) ) ),
inference(flattening,[],[f6]) ).
thf(f6,plain,
? [X0: g > $o,X2: g > g > g,X6: a > a > a,X5: g > b,X4: b > a,X1: b > b > b,X7: a > $o,X3: b > $o] :
( ! [X21: a,X20: a] :
( ( ( X7 @ ( X6 @ X20 @ X21 ) )
= $true )
| ( $true
!= ( X7 @ X20 ) )
| ( $true
!= ( X7 @ X21 ) ) )
& ! [X25: b,X26: b] :
( ( ( X4 @ ( X1 @ X25 @ X26 ) )
= ( X6 @ ( X4 @ X25 ) @ ( X4 @ X26 ) ) )
| ( $true
!= ( X3 @ X26 ) )
| ( $true
!= ( X3 @ X25 ) ) )
& ! [X16: g,X17: g] :
( ( ( X5 @ ( X2 @ X17 @ X16 ) )
= ( X1 @ ( X5 @ X17 ) @ ( X5 @ X16 ) ) )
| ( $true
!= ( X0 @ X17 ) )
| ( $true
!= ( X0 @ X16 ) ) )
& ! [X22: b,X23: b] :
( ( $true
= ( X3 @ ( X1 @ X22 @ X23 ) ) )
| ( ( X3 @ X22 )
!= $true )
| ( $true
!= ( X3 @ X23 ) ) )
& ! [X15: b] :
( ( $true
!= ( X3 @ X15 ) )
| ( $true
= ( X7 @ ( X4 @ X15 ) ) ) )
& ! [X18: g,X19: g] :
( ( $true
= ( X0 @ ( X2 @ X18 @ X19 ) ) )
| ( $true
!= ( X0 @ X19 ) )
| ( $true
!= ( X0 @ X18 ) ) )
& ! [X28: b,X27: b] :
( ( ( X3 @ ( X1 @ X27 @ X28 ) )
= $true )
| ( ( X3 @ X28 )
!= $true )
| ( $true
!= ( X3 @ X27 ) ) )
& ! [X24: g] :
( ( ( X3 @ ( X5 @ X24 ) )
= $true )
| ( $true
!= ( X0 @ X24 ) ) )
& ( ? [X9: g,X8: g] :
( ( ( X0 @ ( X2 @ X9 @ X8 ) )
!= $true )
& ( $true
= ( X0 @ X8 ) )
& ( ( X0 @ X9 )
= $true ) )
| ? [X10: g] :
( ( ( X0 @ X10 )
= $true )
& ( $true
!= ( X7 @ ( X4 @ ( X5 @ X10 ) ) ) ) )
| ? [X13: a,X14: a] :
( ( $true
!= ( X7 @ ( X6 @ X13 @ X14 ) ) )
& ( $true
= ( X7 @ X13 ) )
& ( ( X7 @ X14 )
= $true ) )
| ? [X12: g,X11: g] :
( ( ( X6 @ ( X4 @ ( X5 @ X11 ) ) @ ( X4 @ ( X5 @ X12 ) ) )
!= ( X4 @ ( X5 @ ( X2 @ X11 @ X12 ) ) ) )
& ( $true
= ( X0 @ X12 ) )
& ( ( X0 @ X11 )
= $true ) ) ) ),
inference(ennf_transformation,[],[f5]) ).
thf(f5,plain,
~ ! [X0: g > $o,X2: g > g > g,X6: a > a > a,X5: g > b,X4: b > a,X1: b > b > b,X7: a > $o,X3: b > $o] :
( ~ ( ! [X9: g,X8: g] :
( ( ( $true
= ( X0 @ X8 ) )
& ( ( X0 @ X9 )
= $true ) )
=> ( ( X0 @ ( X2 @ X9 @ X8 ) )
= $true ) )
& ! [X10: g] :
( ( ( X0 @ X10 )
= $true )
=> ( $true
= ( X7 @ ( X4 @ ( X5 @ X10 ) ) ) ) )
& ! [X13: a,X14: a] :
( ( ( $true
= ( X7 @ X13 ) )
& ( ( X7 @ X14 )
= $true ) )
=> ( $true
= ( X7 @ ( X6 @ X13 @ X14 ) ) ) )
& ! [X12: g,X11: g] :
( ( ( $true
= ( X0 @ X12 ) )
& ( ( X0 @ X11 )
= $true ) )
=> ( ( X6 @ ( X4 @ ( X5 @ X11 ) ) @ ( X4 @ ( X5 @ X12 ) ) )
= ( X4 @ ( X5 @ ( X2 @ X11 @ X12 ) ) ) ) ) )
=> ~ ( ! [X21: a,X20: a] :
( ( ( $true
= ( X7 @ X20 ) )
& ( $true
= ( X7 @ X21 ) ) )
=> ( ( X7 @ ( X6 @ X20 @ X21 ) )
= $true ) )
& ! [X25: b,X26: b] :
( ( ( $true
= ( X3 @ X26 ) )
& ( $true
= ( X3 @ X25 ) ) )
=> ( ( X4 @ ( X1 @ X25 @ X26 ) )
= ( X6 @ ( X4 @ X25 ) @ ( X4 @ X26 ) ) ) )
& ! [X16: g,X17: g] :
( ( ( $true
= ( X0 @ X17 ) )
& ( $true
= ( X0 @ X16 ) ) )
=> ( ( X5 @ ( X2 @ X17 @ X16 ) )
= ( X1 @ ( X5 @ X17 ) @ ( X5 @ X16 ) ) ) )
& ! [X22: b,X23: b] :
( ( ( ( X3 @ X22 )
= $true )
& ( $true
= ( X3 @ X23 ) ) )
=> ( $true
= ( X3 @ ( X1 @ X22 @ X23 ) ) ) )
& ! [X15: b] :
( ( $true
= ( X3 @ X15 ) )
=> ( $true
= ( X7 @ ( X4 @ X15 ) ) ) )
& ! [X18: g,X19: g] :
( ( ( $true
= ( X0 @ X19 ) )
& ( $true
= ( X0 @ X18 ) ) )
=> ( $true
= ( X0 @ ( X2 @ X18 @ X19 ) ) ) )
& ! [X28: b,X27: b] :
( ( ( ( X3 @ X28 )
= $true )
& ( $true
= ( X3 @ X27 ) ) )
=> ( ( X3 @ ( X1 @ X27 @ X28 ) )
= $true ) )
& ! [X24: g] :
( ( $true
= ( X0 @ X24 ) )
=> ( ( X3 @ ( X5 @ X24 ) )
= $true ) ) ) ),
inference(fool_elimination,[],[f4]) ).
thf(f4,plain,
~ ! [X0: g > $o,X1: b > b > b,X2: g > g > g,X3: b > $o,X4: b > a,X5: g > b,X6: a > a > a,X7: a > $o] :
( ~ ( ! [X8: g,X9: g] :
( ( ( X0 @ X9 )
& ( X0 @ X8 ) )
=> ( X0 @ ( X2 @ X9 @ X8 ) ) )
& ! [X10: g] :
( ( X0 @ X10 )
=> ( X7 @ ( X4 @ ( X5 @ X10 ) ) ) )
& ! [X11: g,X12: g] :
( ( ( X0 @ X11 )
& ( X0 @ X12 ) )
=> ( ( X6 @ ( X4 @ ( X5 @ X11 ) ) @ ( X4 @ ( X5 @ X12 ) ) )
= ( X4 @ ( X5 @ ( X2 @ X11 @ X12 ) ) ) ) )
& ! [X13: a,X14: a] :
( ( ( X7 @ X13 )
& ( X7 @ X14 ) )
=> ( X7 @ ( X6 @ X13 @ X14 ) ) ) )
=> ~ ( ! [X15: b] :
( ( X3 @ X15 )
=> ( X7 @ ( X4 @ X15 ) ) )
& ! [X16: g,X17: g] :
( ( ( X0 @ X16 )
& ( X0 @ X17 ) )
=> ( ( X5 @ ( X2 @ X17 @ X16 ) )
= ( X1 @ ( X5 @ X17 ) @ ( X5 @ X16 ) ) ) )
& ! [X18: g,X19: g] :
( ( ( X0 @ X19 )
& ( X0 @ X18 ) )
=> ( X0 @ ( X2 @ X18 @ X19 ) ) )
& ! [X20: a,X21: a] :
( ( ( X7 @ X21 )
& ( X7 @ X20 ) )
=> ( X7 @ ( X6 @ X20 @ X21 ) ) )
& ! [X22: b,X23: b] :
( ( ( X3 @ X23 )
& ( X3 @ X22 ) )
=> ( X3 @ ( X1 @ X22 @ X23 ) ) )
& ! [X24: g] :
( ( X0 @ X24 )
=> ( X3 @ ( X5 @ X24 ) ) )
& ! [X25: b,X26: b] :
( ( ( X3 @ X25 )
& ( X3 @ X26 ) )
=> ( ( X4 @ ( X1 @ X25 @ X26 ) )
= ( X6 @ ( X4 @ X25 ) @ ( X4 @ X26 ) ) ) )
& ! [X27: b,X28: b] :
( ( ( X3 @ X28 )
& ( X3 @ X27 ) )
=> ( X3 @ ( X1 @ X27 @ X28 ) ) ) ) ),
inference(rectify,[],[f2]) ).
thf(f2,negated_conjecture,
~ ! [X2: g > $o,X5: b > b > b,X3: g > g > g,X4: b > $o,X1: b > a,X0: g > b,X7: a > a > a,X6: a > $o] :
( ~ ( ! [X9: g,X8: g] :
( ( ( X2 @ X8 )
& ( X2 @ X9 ) )
=> ( X2 @ ( X3 @ X8 @ X9 ) ) )
& ! [X8: g] :
( ( X2 @ X8 )
=> ( X6 @ ( X1 @ ( X0 @ X8 ) ) ) )
& ! [X8: g,X9: g] :
( ( ( X2 @ X8 )
& ( X2 @ X9 ) )
=> ( ( X1 @ ( X0 @ ( X3 @ X8 @ X9 ) ) )
= ( X7 @ ( X1 @ ( X0 @ X8 ) ) @ ( X1 @ ( X0 @ X9 ) ) ) ) )
& ! [X8: a,X9: a] :
( ( ( X6 @ X8 )
& ( X6 @ X9 ) )
=> ( X6 @ ( X7 @ X8 @ X9 ) ) ) )
=> ~ ( ! [X8: b] :
( ( X4 @ X8 )
=> ( X6 @ ( X1 @ X8 ) ) )
& ! [X9: g,X8: g] :
( ( ( X2 @ X9 )
& ( X2 @ X8 ) )
=> ( ( X0 @ ( X3 @ X8 @ X9 ) )
= ( X5 @ ( X0 @ X8 ) @ ( X0 @ X9 ) ) ) )
& ! [X8: g,X9: g] :
( ( ( X2 @ X9 )
& ( X2 @ X8 ) )
=> ( X2 @ ( X3 @ X8 @ X9 ) ) )
& ! [X8: a,X9: a] :
( ( ( X6 @ X9 )
& ( X6 @ X8 ) )
=> ( X6 @ ( X7 @ X8 @ X9 ) ) )
& ! [X8: b,X9: b] :
( ( ( X4 @ X9 )
& ( X4 @ X8 ) )
=> ( X4 @ ( X5 @ X8 @ X9 ) ) )
& ! [X8: g] :
( ( X2 @ X8 )
=> ( X4 @ ( X0 @ X8 ) ) )
& ! [X8: b,X9: b] :
( ( ( X4 @ X8 )
& ( X4 @ X9 ) )
=> ( ( X1 @ ( X5 @ X8 @ X9 ) )
= ( X7 @ ( X1 @ X8 ) @ ( X1 @ X9 ) ) ) )
& ! [X8: b,X9: b] :
( ( ( X4 @ X9 )
& ( X4 @ X8 ) )
=> ( X4 @ ( X5 @ X8 @ X9 ) ) ) ) ),
inference(negated_conjecture,[],[f1]) ).
thf(f1,conjecture,
! [X2: g > $o,X5: b > b > b,X3: g > g > g,X4: b > $o,X1: b > a,X0: g > b,X7: a > a > a,X6: a > $o] :
( ~ ( ! [X9: g,X8: g] :
( ( ( X2 @ X8 )
& ( X2 @ X9 ) )
=> ( X2 @ ( X3 @ X8 @ X9 ) ) )
& ! [X8: g] :
( ( X2 @ X8 )
=> ( X6 @ ( X1 @ ( X0 @ X8 ) ) ) )
& ! [X8: g,X9: g] :
( ( ( X2 @ X8 )
& ( X2 @ X9 ) )
=> ( ( X1 @ ( X0 @ ( X3 @ X8 @ X9 ) ) )
= ( X7 @ ( X1 @ ( X0 @ X8 ) ) @ ( X1 @ ( X0 @ X9 ) ) ) ) )
& ! [X8: a,X9: a] :
( ( ( X6 @ X8 )
& ( X6 @ X9 ) )
=> ( X6 @ ( X7 @ X8 @ X9 ) ) ) )
=> ~ ( ! [X8: b] :
( ( X4 @ X8 )
=> ( X6 @ ( X1 @ X8 ) ) )
& ! [X9: g,X8: g] :
( ( ( X2 @ X9 )
& ( X2 @ X8 ) )
=> ( ( X0 @ ( X3 @ X8 @ X9 ) )
= ( X5 @ ( X0 @ X8 ) @ ( X0 @ X9 ) ) ) )
& ! [X8: g,X9: g] :
( ( ( X2 @ X9 )
& ( X2 @ X8 ) )
=> ( X2 @ ( X3 @ X8 @ X9 ) ) )
& ! [X8: a,X9: a] :
( ( ( X6 @ X9 )
& ( X6 @ X8 ) )
=> ( X6 @ ( X7 @ X8 @ X9 ) ) )
& ! [X8: b,X9: b] :
( ( ( X4 @ X9 )
& ( X4 @ X8 ) )
=> ( X4 @ ( X5 @ X8 @ X9 ) ) )
& ! [X8: g] :
( ( X2 @ X8 )
=> ( X4 @ ( X0 @ X8 ) ) )
& ! [X8: b,X9: b] :
( ( ( X4 @ X8 )
& ( X4 @ X9 ) )
=> ( ( X1 @ ( X5 @ X8 @ X9 ) )
= ( X7 @ ( X1 @ X8 ) @ ( X1 @ X9 ) ) ) )
& ! [X8: b,X9: b] :
( ( ( X4 @ X9 )
& ( X4 @ X8 ) )
=> ( X4 @ ( X5 @ X8 @ X9 ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cTHM126A_pme) ).
thf(f119,plain,
( ( ( sK13 @ ( sK8 @ ( sK12 @ sK15 ) @ ( sK12 @ sK14 ) ) )
!= ( sK13 @ ( sK12 @ ( sK10 @ sK15 @ sK14 ) ) ) )
| spl17_11 ),
inference(avatar_component_clause,[],[f117]) ).
thf(f117,plain,
( spl17_11
<=> ( ( sK13 @ ( sK8 @ ( sK12 @ sK15 ) @ ( sK12 @ sK14 ) ) )
= ( sK13 @ ( sK12 @ ( sK10 @ sK15 @ sK14 ) ) ) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl17_11])]) ).
thf(f135,plain,
( ~ spl17_5
| spl17_12 ),
inference(avatar_contradiction_clause,[],[f134]) ).
thf(f134,plain,
( $false
| ~ spl17_5
| spl17_12 ),
inference(subsumption_resolution,[],[f133,f64]) ).
thf(f133,plain,
( ( ( sK9 @ sK14 )
!= $true )
| spl17_12 ),
inference(trivial_inequality_removal,[],[f132]) ).
thf(f132,plain,
( ( ( sK9 @ sK14 )
!= $true )
| ( $true != $true )
| spl17_12 ),
inference(superposition,[],[f123,f41]) ).
thf(f41,plain,
! [X12: g] :
( ( ( sK6 @ ( sK12 @ X12 ) )
= $true )
| ( ( sK9 @ X12 )
!= $true ) ),
inference(cnf_transformation,[],[f23]) ).
thf(f123,plain,
( ( $true
!= ( sK6 @ ( sK12 @ sK14 ) ) )
| spl17_12 ),
inference(avatar_component_clause,[],[f121]) ).
thf(f121,plain,
( spl17_12
<=> ( $true
= ( sK6 @ ( sK12 @ sK14 ) ) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl17_12])]) ).
thf(f131,plain,
~ spl17_3,
inference(avatar_split_clause,[],[f130,f53]) ).
thf(f53,plain,
( spl17_3
<=> ( $true
= ( sP1 @ sK10 @ sK9 ) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl17_3])]) ).
thf(f130,plain,
( $true
!= ( sP1 @ sK10 @ sK9 ) ),
inference(subsumption_resolution,[],[f129,f26]) ).
thf(f26,plain,
! [X0: g > $o,X1: g > g > g] :
( ( $true
= ( X0 @ ( sK3 @ X1 @ X0 ) ) )
| ( ( sP1 @ X1 @ X0 )
!= $true ) ),
inference(cnf_transformation,[],[f14]) ).
thf(f14,plain,
! [X0: g > $o,X1: g > g > g] :
( ( ( $true
= ( X0 @ ( sK3 @ X1 @ X0 ) ) )
& ( $true
= ( X0 @ ( sK2 @ X1 @ X0 ) ) )
& ( $true
!= ( X0 @ ( X1 @ ( sK3 @ X1 @ X0 ) @ ( sK2 @ X1 @ X0 ) ) ) ) )
| ( ( sP1 @ X1 @ X0 )
!= $true ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK2,sK3])],[f12,f13]) ).
thf(f13,plain,
! [X0: g > $o,X1: g > g > g] :
( ? [X2: g,X3: g] :
( ( $true
= ( X0 @ X3 ) )
& ( ( X0 @ X2 )
= $true )
& ( ( X0 @ ( X1 @ X3 @ X2 ) )
!= $true ) )
=> ( ( $true
= ( X0 @ ( sK3 @ X1 @ X0 ) ) )
& ( $true
= ( X0 @ ( sK2 @ X1 @ X0 ) ) )
& ( $true
!= ( X0 @ ( X1 @ ( sK3 @ X1 @ X0 ) @ ( sK2 @ X1 @ X0 ) ) ) ) ) ),
introduced(choice_axiom,[]) ).
thf(f12,plain,
! [X0: g > $o,X1: g > g > g] :
( ? [X2: g,X3: g] :
( ( $true
= ( X0 @ X3 ) )
& ( ( X0 @ X2 )
= $true )
& ( ( X0 @ ( X1 @ X3 @ X2 ) )
!= $true ) )
| ( ( sP1 @ X1 @ X0 )
!= $true ) ),
inference(rectify,[],[f11]) ).
thf(f11,plain,
! [X0: g > $o,X2: g > g > g] :
( ? [X8: g,X9: g] :
( ( ( X0 @ X9 )
= $true )
& ( $true
= ( X0 @ X8 ) )
& ( ( X0 @ ( X2 @ X9 @ X8 ) )
!= $true ) )
| ( $true
!= ( sP1 @ X2 @ X0 ) ) ),
inference(nnf_transformation,[],[f9]) ).
thf(f129,plain,
( ( $true
!= ( sP1 @ sK10 @ sK9 ) )
| ( ( sK9 @ ( sK3 @ sK10 @ sK9 ) )
!= $true ) ),
inference(subsumption_resolution,[],[f90,f25]) ).
thf(f25,plain,
! [X0: g > $o,X1: g > g > g] :
( ( $true
= ( X0 @ ( sK2 @ X1 @ X0 ) ) )
| ( ( sP1 @ X1 @ X0 )
!= $true ) ),
inference(cnf_transformation,[],[f14]) ).
thf(f90,plain,
( ( $true
!= ( sK9 @ ( sK2 @ sK10 @ sK9 ) ) )
| ( $true
!= ( sP1 @ sK10 @ sK9 ) )
| ( ( sK9 @ ( sK3 @ sK10 @ sK9 ) )
!= $true ) ),
inference(trivial_inequality_removal,[],[f89]) ).
thf(f89,plain,
( ( $true
!= ( sP1 @ sK10 @ sK9 ) )
| ( $true != $true )
| ( ( sK9 @ ( sK3 @ sK10 @ sK9 ) )
!= $true )
| ( $true
!= ( sK9 @ ( sK2 @ sK10 @ sK9 ) ) ) ),
inference(superposition,[],[f24,f43]) ).
thf(f43,plain,
! [X8: g,X9: g] :
( ( ( sK9 @ ( sK10 @ X8 @ X9 ) )
= $true )
| ( ( sK9 @ X8 )
!= $true )
| ( ( sK9 @ X9 )
!= $true ) ),
inference(cnf_transformation,[],[f23]) ).
thf(f24,plain,
! [X0: g > $o,X1: g > g > g] :
( ( $true
!= ( X0 @ ( X1 @ ( sK3 @ X1 @ X0 ) @ ( sK2 @ X1 @ X0 ) ) ) )
| ( ( sP1 @ X1 @ X0 )
!= $true ) ),
inference(cnf_transformation,[],[f14]) ).
thf(f128,plain,
( ~ spl17_6
| spl17_10 ),
inference(avatar_contradiction_clause,[],[f127]) ).
thf(f127,plain,
( $false
| ~ spl17_6
| spl17_10 ),
inference(subsumption_resolution,[],[f126,f69]) ).
thf(f126,plain,
( ( ( sK9 @ sK15 )
!= $true )
| spl17_10 ),
inference(trivial_inequality_removal,[],[f125]) ).
thf(f125,plain,
( ( ( sK9 @ sK15 )
!= $true )
| ( $true != $true )
| spl17_10 ),
inference(superposition,[],[f115,f41]) ).
thf(f115,plain,
( ( ( sK6 @ ( sK12 @ sK15 ) )
!= $true )
| spl17_10 ),
inference(avatar_component_clause,[],[f113]) ).
thf(f113,plain,
( spl17_10
<=> ( ( sK6 @ ( sK12 @ sK15 ) )
= $true ) ),
introduced(avatar_definition,[new_symbols(naming,[spl17_10])]) ).
thf(f124,plain,
( ~ spl17_10
| ~ spl17_11
| ~ spl17_12
| spl17_1 ),
inference(avatar_split_clause,[],[f108,f45,f121,f117,f113]) ).
thf(f45,plain,
( spl17_1
<=> ( ( sK11 @ ( sK13 @ ( sK12 @ sK15 ) ) @ ( sK13 @ ( sK12 @ sK14 ) ) )
= ( sK13 @ ( sK12 @ ( sK10 @ sK15 @ sK14 ) ) ) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl17_1])]) ).
thf(f108,plain,
( ( ( sK6 @ ( sK12 @ sK15 ) )
!= $true )
| ( $true
!= ( sK6 @ ( sK12 @ sK14 ) ) )
| ( ( sK13 @ ( sK8 @ ( sK12 @ sK15 ) @ ( sK12 @ sK14 ) ) )
!= ( sK13 @ ( sK12 @ ( sK10 @ sK15 @ sK14 ) ) ) )
| spl17_1 ),
inference(superposition,[],[f47,f38]) ).
thf(f38,plain,
! [X16: b,X17: b] :
( ( ( sK13 @ ( sK8 @ X17 @ X16 ) )
= ( sK11 @ ( sK13 @ X17 ) @ ( sK13 @ X16 ) ) )
| ( $true
!= ( sK6 @ X17 ) )
| ( ( sK6 @ X16 )
!= $true ) ),
inference(cnf_transformation,[],[f23]) ).
thf(f47,plain,
( ( ( sK11 @ ( sK13 @ ( sK12 @ sK15 ) ) @ ( sK13 @ ( sK12 @ sK14 ) ) )
!= ( sK13 @ ( sK12 @ ( sK10 @ sK15 @ sK14 ) ) ) )
| spl17_1 ),
inference(avatar_component_clause,[],[f45]) ).
thf(f88,plain,
~ spl17_4,
inference(avatar_split_clause,[],[f87,f57]) ).
thf(f57,plain,
( spl17_4
<=> ( $true
= ( sP0 @ sK11 @ sK7 ) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl17_4])]) ).
thf(f87,plain,
( $true
!= ( sP0 @ sK11 @ sK7 ) ),
inference(subsumption_resolution,[],[f86,f29]) ).
thf(f29,plain,
! [X0: a > $o,X1: a > a > a] :
( ( $true
= ( X0 @ ( sK4 @ X1 @ X0 ) ) )
| ( ( sP0 @ X1 @ X0 )
!= $true ) ),
inference(cnf_transformation,[],[f18]) ).
thf(f18,plain,
! [X0: a > $o,X1: a > a > a] :
( ( ( $true
= ( X0 @ ( sK4 @ X1 @ X0 ) ) )
& ( $true
!= ( X0 @ ( X1 @ ( sK4 @ X1 @ X0 ) @ ( sK5 @ X1 @ X0 ) ) ) )
& ( $true
= ( X0 @ ( sK5 @ X1 @ X0 ) ) ) )
| ( ( sP0 @ X1 @ X0 )
!= $true ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK4,sK5])],[f16,f17]) ).
thf(f17,plain,
! [X0: a > $o,X1: a > a > a] :
( ? [X2: a,X3: a] :
( ( $true
= ( X0 @ X2 ) )
& ( $true
!= ( X0 @ ( X1 @ X2 @ X3 ) ) )
& ( ( X0 @ X3 )
= $true ) )
=> ( ( $true
= ( X0 @ ( sK4 @ X1 @ X0 ) ) )
& ( $true
!= ( X0 @ ( X1 @ ( sK4 @ X1 @ X0 ) @ ( sK5 @ X1 @ X0 ) ) ) )
& ( $true
= ( X0 @ ( sK5 @ X1 @ X0 ) ) ) ) ),
introduced(choice_axiom,[]) ).
thf(f16,plain,
! [X0: a > $o,X1: a > a > a] :
( ? [X2: a,X3: a] :
( ( $true
= ( X0 @ X2 ) )
& ( $true
!= ( X0 @ ( X1 @ X2 @ X3 ) ) )
& ( ( X0 @ X3 )
= $true ) )
| ( ( sP0 @ X1 @ X0 )
!= $true ) ),
inference(rectify,[],[f15]) ).
thf(f15,plain,
! [X7: a > $o,X6: a > a > a] :
( ? [X13: a,X14: a] :
( ( $true
= ( X7 @ X13 ) )
& ( $true
!= ( X7 @ ( X6 @ X13 @ X14 ) ) )
& ( ( X7 @ X14 )
= $true ) )
| ( ( sP0 @ X6 @ X7 )
!= $true ) ),
inference(nnf_transformation,[],[f8]) ).
thf(f86,plain,
( ( ( sK7 @ ( sK4 @ sK11 @ sK7 ) )
!= $true )
| ( $true
!= ( sP0 @ sK11 @ sK7 ) ) ),
inference(subsumption_resolution,[],[f85,f27]) ).
thf(f27,plain,
! [X0: a > $o,X1: a > a > a] :
( ( $true
= ( X0 @ ( sK5 @ X1 @ X0 ) ) )
| ( ( sP0 @ X1 @ X0 )
!= $true ) ),
inference(cnf_transformation,[],[f18]) ).
thf(f85,plain,
( ( $true
!= ( sK7 @ ( sK5 @ sK11 @ sK7 ) ) )
| ( $true
!= ( sP0 @ sK11 @ sK7 ) )
| ( ( sK7 @ ( sK4 @ sK11 @ sK7 ) )
!= $true ) ),
inference(trivial_inequality_removal,[],[f84]) ).
thf(f84,plain,
( ( $true != $true )
| ( $true
!= ( sP0 @ sK11 @ sK7 ) )
| ( $true
!= ( sK7 @ ( sK5 @ sK11 @ sK7 ) ) )
| ( ( sK7 @ ( sK4 @ sK11 @ sK7 ) )
!= $true ) ),
inference(superposition,[],[f28,f37]) ).
thf(f37,plain,
! [X18: a,X19: a] :
( ( $true
= ( sK7 @ ( sK11 @ X18 @ X19 ) ) )
| ( ( sK7 @ X19 )
!= $true )
| ( ( sK7 @ X18 )
!= $true ) ),
inference(cnf_transformation,[],[f23]) ).
thf(f28,plain,
! [X0: a > $o,X1: a > a > a] :
( ( $true
!= ( X0 @ ( X1 @ ( sK4 @ X1 @ X0 ) @ ( sK5 @ X1 @ X0 ) ) ) )
| ( ( sP0 @ X1 @ X0 )
!= $true ) ),
inference(cnf_transformation,[],[f18]) ).
thf(f83,plain,
( ~ spl17_2
| spl17_7 ),
inference(avatar_contradiction_clause,[],[f82]) ).
thf(f82,plain,
( $false
| ~ spl17_2
| spl17_7 ),
inference(subsumption_resolution,[],[f81,f51]) ).
thf(f51,plain,
( ( $true
= ( sK9 @ sK16 ) )
| ~ spl17_2 ),
inference(avatar_component_clause,[],[f49]) ).
thf(f49,plain,
( spl17_2
<=> ( $true
= ( sK9 @ sK16 ) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl17_2])]) ).
thf(f81,plain,
( ( $true
!= ( sK9 @ sK16 ) )
| spl17_7 ),
inference(trivial_inequality_removal,[],[f80]) ).
thf(f80,plain,
( ( $true != $true )
| ( $true
!= ( sK9 @ sK16 ) )
| spl17_7 ),
inference(superposition,[],[f79,f41]) ).
thf(f79,plain,
( ( $true
!= ( sK6 @ ( sK12 @ sK16 ) ) )
| spl17_7 ),
inference(trivial_inequality_removal,[],[f78]) ).
thf(f78,plain,
( ( $true != $true )
| ( $true
!= ( sK6 @ ( sK12 @ sK16 ) ) )
| spl17_7 ),
inference(superposition,[],[f74,f39]) ).
thf(f39,plain,
! [X15: b] :
( ( ( sK7 @ ( sK13 @ X15 ) )
= $true )
| ( ( sK6 @ X15 )
!= $true ) ),
inference(cnf_transformation,[],[f23]) ).
thf(f74,plain,
( ( ( sK7 @ ( sK13 @ ( sK12 @ sK16 ) ) )
!= $true )
| spl17_7 ),
inference(avatar_component_clause,[],[f72]) ).
thf(f72,plain,
( spl17_7
<=> ( ( sK7 @ ( sK13 @ ( sK12 @ sK16 ) ) )
= $true ) ),
introduced(avatar_definition,[new_symbols(naming,[spl17_7])]) ).
thf(f77,plain,
( spl17_4
| spl17_6
| ~ spl17_7
| spl17_3 ),
inference(avatar_split_clause,[],[f33,f53,f72,f67,f57]) ).
thf(f33,plain,
( ( ( sK9 @ sK15 )
= $true )
| ( $true
= ( sP1 @ sK10 @ sK9 ) )
| ( ( sK7 @ ( sK13 @ ( sK12 @ sK16 ) ) )
!= $true )
| ( $true
= ( sP0 @ sK11 @ sK7 ) ) ),
inference(cnf_transformation,[],[f23]) ).
thf(f76,plain,
( spl17_4
| ~ spl17_1
| ~ spl17_7
| spl17_3 ),
inference(avatar_split_clause,[],[f35,f53,f72,f45,f57]) ).
thf(f35,plain,
( ( $true
= ( sP0 @ sK11 @ sK7 ) )
| ( $true
= ( sP1 @ sK10 @ sK9 ) )
| ( ( sK7 @ ( sK13 @ ( sK12 @ sK16 ) ) )
!= $true )
| ( ( sK11 @ ( sK13 @ ( sK12 @ sK15 ) ) @ ( sK13 @ ( sK12 @ sK14 ) ) )
!= ( sK13 @ ( sK12 @ ( sK10 @ sK15 @ sK14 ) ) ) ) ),
inference(cnf_transformation,[],[f23]) ).
thf(f75,plain,
( ~ spl17_7
| spl17_4
| spl17_5
| spl17_3 ),
inference(avatar_split_clause,[],[f31,f53,f62,f57,f72]) ).
thf(f31,plain,
( ( ( sK9 @ sK14 )
= $true )
| ( ( sK7 @ ( sK13 @ ( sK12 @ sK16 ) ) )
!= $true )
| ( $true
= ( sP0 @ sK11 @ sK7 ) )
| ( $true
= ( sP1 @ sK10 @ sK9 ) ) ),
inference(cnf_transformation,[],[f23]) ).
thf(f70,plain,
( spl17_3
| spl17_4
| spl17_6
| spl17_2 ),
inference(avatar_split_clause,[],[f34,f49,f67,f57,f53]) ).
thf(f34,plain,
( ( $true
= ( sK9 @ sK16 ) )
| ( $true
= ( sP1 @ sK10 @ sK9 ) )
| ( $true
= ( sP0 @ sK11 @ sK7 ) )
| ( ( sK9 @ sK15 )
= $true ) ),
inference(cnf_transformation,[],[f23]) ).
thf(f65,plain,
( spl17_3
| spl17_2
| spl17_4
| spl17_5 ),
inference(avatar_split_clause,[],[f32,f62,f57,f49,f53]) ).
thf(f32,plain,
( ( $true
= ( sK9 @ sK16 ) )
| ( $true
= ( sP1 @ sK10 @ sK9 ) )
| ( ( sK9 @ sK14 )
= $true )
| ( $true
= ( sP0 @ sK11 @ sK7 ) ) ),
inference(cnf_transformation,[],[f23]) ).
thf(f60,plain,
( ~ spl17_1
| spl17_2
| spl17_3
| spl17_4 ),
inference(avatar_split_clause,[],[f36,f57,f53,f49,f45]) ).
thf(f36,plain,
( ( ( sK11 @ ( sK13 @ ( sK12 @ sK15 ) ) @ ( sK13 @ ( sK12 @ sK14 ) ) )
!= ( sK13 @ ( sK12 @ ( sK10 @ sK15 @ sK14 ) ) ) )
| ( $true
= ( sP1 @ sK10 @ sK9 ) )
| ( $true
= ( sK9 @ sK16 ) )
| ( $true
= ( sP0 @ sK11 @ sK7 ) ) ),
inference(cnf_transformation,[],[f23]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : SEU905^5 : TPTP v8.2.0. Released v4.0.0.
% 0.12/0.13 % Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule file --schedule_file /export/starexec/sandbox/solver/bin/quickGreedyProduceRating_steal_pow3.txt --cores 8 -m 12000 -t %d %s
% 0.14/0.34 % Computer : n027.cluster.edu
% 0.14/0.34 % Model : x86_64 x86_64
% 0.14/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.34 % Memory : 8042.1875MB
% 0.14/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.34 % CPULimit : 300
% 0.14/0.34 % WCLimit : 300
% 0.14/0.34 % DateTime : Sun May 19 16:40:23 EDT 2024
% 0.20/0.35 % CPUTime :
% 0.20/0.35 This is a TH0_THM_EQU_NAR problem
% 0.20/0.35 Running vampire_ho --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_hol --cores 8 -m 12000 -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.20/0.37 % (5537)lrs+1002_1:8_bd=off:fd=off:hud=10:tnu=1:i=183:si=on:rtra=on_0 on theBenchmark for (2999ds/183Mi)
% 0.20/0.37 % (5538)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)
% 0.20/0.37 % (5539)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)
% 0.20/0.37 % (5540)lrs+10_1:1_au=on:inj=on:i=2:si=on:rtra=on_0 on theBenchmark for (2999ds/2Mi)
% 0.20/0.37 % (5541)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)
% 0.20/0.37 % (5542)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)
% 0.20/0.37 % (5543)lrs+1004_1:128_cond=on:e2e=on:sp=weighted_frequency:i=18:si=on:rtra=on_0 on theBenchmark for (2999ds/18Mi)
% 0.20/0.37 % (5540)Instruction limit reached!
% 0.20/0.37 % (5540)------------------------------
% 0.20/0.37 % (5540)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.20/0.37 % (5540)Termination reason: Unknown
% 0.20/0.37 % (5540)Termination phase: shuffling
% 0.20/0.37 % (5541)Instruction limit reached!
% 0.20/0.37 % (5541)------------------------------
% 0.20/0.37 % (5541)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.20/0.37 % (5541)Termination reason: Unknown
% 0.20/0.37 % (5541)Termination phase: shuffling
% 0.20/0.37
% 0.20/0.37 % (5541)Memory used [KB]: 1023
% 0.20/0.37 % (5541)Time elapsed: 0.003 s
% 0.20/0.37 % (5541)Instructions burned: 2 (million)
% 0.20/0.37 % (5541)------------------------------
% 0.20/0.37 % (5541)------------------------------
% 0.20/0.37
% 0.20/0.37 % (5540)Memory used [KB]: 895
% 0.20/0.37 % (5540)Time elapsed: 0.003 s
% 0.20/0.37 % (5540)Instructions burned: 2 (million)
% 0.20/0.37 % (5540)------------------------------
% 0.20/0.37 % (5540)------------------------------
% 0.20/0.37 % (5538)Instruction limit reached!
% 0.20/0.37 % (5538)------------------------------
% 0.20/0.37 % (5538)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.20/0.37 % (5538)Termination reason: Unknown
% 0.20/0.37 % (5538)Termination phase: Saturation
% 0.20/0.37
% 0.20/0.37 % (5538)Memory used [KB]: 1023
% 0.20/0.37 % (5544)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)
% 0.20/0.37 % (5538)Time elapsed: 0.005 s
% 0.20/0.37 % (5538)Instructions burned: 5 (million)
% 0.20/0.37 % (5538)------------------------------
% 0.20/0.37 % (5538)------------------------------
% 0.20/0.37 % (5544)Instruction limit reached!
% 0.20/0.37 % (5544)------------------------------
% 0.20/0.37 % (5544)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.20/0.37 % (5544)Termination reason: Unknown
% 0.20/0.37 % (5544)Termination phase: Preprocessing 3
% 0.20/0.37
% 0.20/0.37 % (5544)Memory used [KB]: 1023
% 0.20/0.37 % (5544)Time elapsed: 0.003 s
% 0.20/0.37 % (5544)Instructions burned: 3 (million)
% 0.20/0.37 % (5544)------------------------------
% 0.20/0.37 % (5544)------------------------------
% 0.20/0.38 % (5543)Instruction limit reached!
% 0.20/0.38 % (5543)------------------------------
% 0.20/0.38 % (5543)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.20/0.38 % (5543)Termination reason: Unknown
% 0.20/0.38 % (5543)Termination phase: Saturation
% 0.20/0.38
% 0.20/0.38 % (5543)Memory used [KB]: 5756
% 0.20/0.38 % (5543)Time elapsed: 0.015 s
% 0.20/0.38 % (5543)Instructions burned: 19 (million)
% 0.20/0.38 % (5543)------------------------------
% 0.20/0.38 % (5543)------------------------------
% 0.20/0.38 % (5542)First to succeed.
% 0.20/0.38 % (5545)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)
% 0.20/0.38 % (5546)lrs+2_16:1_acc=model:au=on:bd=off:c=on:e2e=on:nm=2:sos=all:i=15:si=on:rtra=on_0 on theBenchmark for (2999ds/15Mi)
% 0.20/0.38 % (5547)dis+21_1:1_cbe=off:cnfonf=off:fs=off:fsr=off:hud=1:inj=on:i=3:si=on:rtra=on_0 on theBenchmark for (2999ds/3Mi)
% 0.20/0.38 % (5539)Instruction limit reached!
% 0.20/0.38 % (5539)------------------------------
% 0.20/0.38 % (5539)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.20/0.38 % (5539)Termination reason: Unknown
% 0.20/0.38 % (5539)Termination phase: Saturation
% 0.20/0.38
% 0.20/0.38 % (5539)Memory used [KB]: 5756
% 0.20/0.38 % (5539)Time elapsed: 0.020 s
% 0.20/0.38 % (5539)Instructions burned: 27 (million)
% 0.20/0.38 % (5539)------------------------------
% 0.20/0.38 % (5539)------------------------------
% 0.20/0.39 % (5548)lrs+1002_1:1_aac=none:au=on:cnfonf=lazy_gen:plsq=on:plsqc=1:plsqr=4203469,65536:i=1041:si=on:rtra=on_0 on theBenchmark for (2999ds/1041Mi)
% 0.20/0.39 % (5547)Instruction limit reached!
% 0.20/0.39 % (5547)------------------------------
% 0.20/0.39 % (5547)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.20/0.39 % (5547)Termination reason: Unknown
% 0.20/0.39 % (5547)Termination phase: Preprocessing 3
% 0.20/0.39
% 0.20/0.39 % (5547)Memory used [KB]: 1023
% 0.20/0.39 % (5547)Time elapsed: 0.004 s
% 0.20/0.39 % (5547)Instructions burned: 4 (million)
% 0.20/0.39 % (5547)------------------------------
% 0.20/0.39 % (5547)------------------------------
% 0.20/0.39 % (5542)Refutation found. Thanks to Tanya!
% 0.20/0.39 % SZS status Theorem for theBenchmark
% 0.20/0.39 % SZS output start Proof for theBenchmark
% See solution above
% 0.20/0.39 % (5542)------------------------------
% 0.20/0.39 % (5542)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.20/0.39 % (5542)Termination reason: Refutation
% 0.20/0.39
% 0.20/0.39 % (5542)Memory used [KB]: 5756
% 0.20/0.39 % (5542)Time elapsed: 0.022 s
% 0.20/0.39 % (5542)Instructions burned: 20 (million)
% 0.20/0.39 % (5542)------------------------------
% 0.20/0.39 % (5542)------------------------------
% 0.20/0.39 % (5536)Success in time 0.032 s
% 0.20/0.39 % Vampire---4.8 exiting
%------------------------------------------------------------------------------