TSTP Solution File: SEV109^5 by Vampire---4.9
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- Process Solution
%------------------------------------------------------------------------------
% File : Vampire---4.9
% Problem : SEV109^5 : TPTP v8.2.0. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire %s %d THM
% Computer : n028.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 16:01:51 EDT 2024
% Result : Theorem 0.20s 0.43s
% Output : Refutation 0.20s
% Verified :
% SZS Type : Refutation
% Derivation depth : 19
% Number of leaves : 12
% Syntax : Number of formulae : 90 ( 2 unt; 0 typ; 0 def)
% Number of atoms : 1146 ( 382 equ; 0 cnn)
% Maximal formula atoms : 48 ( 12 avg)
% Number of connectives : 1761 ( 214 ~; 258 |; 126 &;1100 @)
% ( 5 <=>; 58 =>; 0 <=; 0 <~>)
% Maximal formula depth : 24 ( 6 avg)
% Number of types : 2 ( 1 usr)
% Number of type conns : 136 ( 136 >; 0 *; 0 +; 0 <<)
% Number of symbols : 21 ( 18 usr; 9 con; 0-4 aty)
% Number of variables : 367 ( 0 ^ 299 !; 68 ?; 367 :)
% Comments :
%------------------------------------------------------------------------------
thf(type_def_5,type,
a: $tType ).
thf(func_def_0,type,
a: $tType ).
thf(func_def_4,type,
sK0: a > a > $o ).
thf(func_def_5,type,
sK1: a ).
thf(func_def_6,type,
sK2: a > a > $o ).
thf(func_def_7,type,
sK3: a ).
thf(func_def_8,type,
sK4: a > a > $o ).
thf(func_def_9,type,
sK5: a > a > a > a > $o ).
thf(func_def_10,type,
sK6: a > a > a > a > $o ).
thf(func_def_11,type,
sK7: ( a > a > $o ) > a ).
thf(func_def_12,type,
sK8: ( a > a > $o ) > a ).
thf(func_def_13,type,
sK9: ( a > a > $o ) > a ).
thf(func_def_14,type,
sK10: ( a > a > $o ) > a ).
thf(func_def_15,type,
sK11: ( a > a > $o ) > a ).
thf(func_def_18,type,
ph13:
!>[X0: $tType] : X0 ).
thf(f564,plain,
$false,
inference(avatar_sat_refutation,[],[f120,f346,f516,f522,f555,f559,f563]) ).
thf(f563,plain,
( ~ spl12_5
| spl12_8
| spl12_28 ),
inference(avatar_contradiction_clause,[],[f562]) ).
thf(f562,plain,
( $false
| ~ spl12_5
| spl12_8
| spl12_28 ),
inference(subsumption_resolution,[],[f561,f23]) ).
thf(f23,plain,
( $true
!= ( sK4 @ sK1 @ sK3 ) ),
inference(cnf_transformation,[],[f15]) ).
thf(f15,plain,
( ! [X5: a,X6: a] :
( ( ! [X8: a,X9: a] :
( ( $true
= ( sK5 @ X6 @ X5 @ X8 @ X9 ) )
| ( $true
!= ( sK0 @ X8 @ X9 ) ) )
& ( $true
!= ( sK5 @ X6 @ X5 @ X5 @ X6 ) )
& ! [X10: a,X11: a,X12: a] :
( ( $true
!= ( sK5 @ X6 @ X5 @ X11 @ X10 ) )
| ( $true
!= ( sK5 @ X6 @ X5 @ X12 @ X11 ) )
| ( $true
= ( sK5 @ X6 @ X5 @ X12 @ X10 ) ) )
& ( $true
!= ( sK6 @ X6 @ X5 @ X5 @ X6 ) )
& ! [X14: a,X15: a] :
( ( $true
= ( sK6 @ X6 @ X5 @ X15 @ X14 ) )
| ( $true
!= ( sK2 @ X15 @ X14 ) ) )
& ! [X16: a,X17: a,X18: a] :
( ( $true
!= ( sK6 @ X6 @ X5 @ X18 @ X16 ) )
| ( $true
= ( sK6 @ X6 @ X5 @ X18 @ X17 ) )
| ( $true
!= ( sK6 @ X6 @ X5 @ X16 @ X17 ) ) ) )
| ( $true
= ( sK4 @ X5 @ X6 ) ) )
& ( $true
!= ( sK4 @ sK1 @ sK3 ) )
& ! [X19: a,X20: a,X21: a] :
( ( $true
!= ( sK4 @ X21 @ X20 ) )
| ( $true
= ( sK4 @ X21 @ X19 ) )
| ( $true
!= ( sK4 @ X20 @ X19 ) ) )
& ! [X22: a > a > $o] :
( ( ( $true
!= ( X22 @ ( sK7 @ X22 ) @ ( sK8 @ X22 ) ) )
& ( ( $true
= ( sK0 @ ( sK7 @ X22 ) @ ( sK8 @ X22 ) ) )
| ( $true
= ( sK2 @ ( sK7 @ X22 ) @ ( sK8 @ X22 ) ) ) ) )
| ( ( $true
= ( X22 @ ( sK10 @ X22 ) @ ( sK11 @ X22 ) ) )
& ( $true
= ( X22 @ ( sK9 @ X22 ) @ ( sK10 @ X22 ) ) )
& ( ( X22 @ ( sK9 @ X22 ) @ ( sK11 @ X22 ) )
!= $true ) )
| ( $true
= ( X22 @ sK1 @ sK3 ) ) ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK0,sK1,sK2,sK3,sK4,sK5,sK6,sK7,sK8,sK9,sK10,sK11])],[f8,f14,f13,f12,f11,f10,f9]) ).
thf(f9,plain,
( ? [X0: a > a > $o,X1: a,X2: a > a > $o,X3: a] :
( ? [X4: a > a > $o] :
( ! [X5: a,X6: a] :
( ( ? [X7: a > a > $o] :
( ! [X8: a,X9: a] :
( ( $true
= ( X7 @ X8 @ X9 ) )
| ( $true
!= ( X0 @ X8 @ X9 ) ) )
& ( $true
!= ( X7 @ X5 @ X6 ) )
& ! [X10: a,X11: a,X12: a] :
( ( $true
!= ( X7 @ X11 @ X10 ) )
| ( ( X7 @ X12 @ X11 )
!= $true )
| ( $true
= ( X7 @ X12 @ X10 ) ) ) )
& ? [X13: a > a > $o] :
( ( $true
!= ( X13 @ X5 @ X6 ) )
& ! [X14: a,X15: a] :
( ( $true
= ( X13 @ X15 @ X14 ) )
| ( $true
!= ( X2 @ X15 @ X14 ) ) )
& ! [X16: a,X17: a,X18: a] :
( ( $true
!= ( X13 @ X18 @ X16 ) )
| ( $true
= ( X13 @ X18 @ X17 ) )
| ( $true
!= ( X13 @ X16 @ X17 ) ) ) ) )
| ( ( X4 @ X5 @ X6 )
= $true ) )
& ( $true
!= ( X4 @ X1 @ X3 ) )
& ! [X19: a,X20: a,X21: a] :
( ( $true
!= ( X4 @ X21 @ X20 ) )
| ( $true
= ( X4 @ X21 @ X19 ) )
| ( $true
!= ( X4 @ X20 @ X19 ) ) ) )
& ! [X22: a > a > $o] :
( ? [X23: a,X24: a] :
( ( $true
!= ( X22 @ X23 @ X24 ) )
& ( ( $true
= ( X0 @ X23 @ X24 ) )
| ( $true
= ( X2 @ X23 @ X24 ) ) ) )
| ? [X25: a,X26: a,X27: a] :
( ( $true
= ( X22 @ X26 @ X27 ) )
& ( ( X22 @ X25 @ X26 )
= $true )
& ( $true
!= ( X22 @ X25 @ X27 ) ) )
| ( $true
= ( X22 @ X1 @ X3 ) ) ) )
=> ( ? [X4: a > a > $o] :
( ! [X6: a,X5: a] :
( ( ? [X7: a > a > $o] :
( ! [X9: a,X8: a] :
( ( $true
= ( X7 @ X8 @ X9 ) )
| ( $true
!= ( sK0 @ X8 @ X9 ) ) )
& ( $true
!= ( X7 @ X5 @ X6 ) )
& ! [X10: a,X11: a,X12: a] :
( ( $true
!= ( X7 @ X11 @ X10 ) )
| ( ( X7 @ X12 @ X11 )
!= $true )
| ( $true
= ( X7 @ X12 @ X10 ) ) ) )
& ? [X13: a > a > $o] :
( ( $true
!= ( X13 @ X5 @ X6 ) )
& ! [X15: a,X14: a] :
( ( $true
= ( X13 @ X15 @ X14 ) )
| ( $true
!= ( sK2 @ X15 @ X14 ) ) )
& ! [X16: a,X17: a,X18: a] :
( ( $true
!= ( X13 @ X18 @ X16 ) )
| ( $true
= ( X13 @ X18 @ X17 ) )
| ( $true
!= ( X13 @ X16 @ X17 ) ) ) ) )
| ( ( X4 @ X5 @ X6 )
= $true ) )
& ( $true
!= ( X4 @ sK1 @ sK3 ) )
& ! [X19: a,X20: a,X21: a] :
( ( $true
!= ( X4 @ X21 @ X20 ) )
| ( $true
= ( X4 @ X21 @ X19 ) )
| ( $true
!= ( X4 @ X20 @ X19 ) ) ) )
& ! [X22: a > a > $o] :
( ? [X24: a,X23: a] :
( ( $true
!= ( X22 @ X23 @ X24 ) )
& ( ( $true
= ( sK0 @ X23 @ X24 ) )
| ( $true
= ( sK2 @ X23 @ X24 ) ) ) )
| ? [X25: a,X26: a,X27: a] :
( ( $true
= ( X22 @ X26 @ X27 ) )
& ( ( X22 @ X25 @ X26 )
= $true )
& ( $true
!= ( X22 @ X25 @ X27 ) ) )
| ( $true
= ( X22 @ sK1 @ sK3 ) ) ) ) ),
introduced(choice_axiom,[]) ).
thf(f10,plain,
( ? [X4: a > a > $o] :
( ! [X6: a,X5: a] :
( ( ? [X7: a > a > $o] :
( ! [X9: a,X8: a] :
( ( $true
= ( X7 @ X8 @ X9 ) )
| ( $true
!= ( sK0 @ X8 @ X9 ) ) )
& ( $true
!= ( X7 @ X5 @ X6 ) )
& ! [X10: a,X11: a,X12: a] :
( ( $true
!= ( X7 @ X11 @ X10 ) )
| ( ( X7 @ X12 @ X11 )
!= $true )
| ( $true
= ( X7 @ X12 @ X10 ) ) ) )
& ? [X13: a > a > $o] :
( ( $true
!= ( X13 @ X5 @ X6 ) )
& ! [X15: a,X14: a] :
( ( $true
= ( X13 @ X15 @ X14 ) )
| ( $true
!= ( sK2 @ X15 @ X14 ) ) )
& ! [X16: a,X17: a,X18: a] :
( ( $true
!= ( X13 @ X18 @ X16 ) )
| ( $true
= ( X13 @ X18 @ X17 ) )
| ( $true
!= ( X13 @ X16 @ X17 ) ) ) ) )
| ( ( X4 @ X5 @ X6 )
= $true ) )
& ( $true
!= ( X4 @ sK1 @ sK3 ) )
& ! [X19: a,X20: a,X21: a] :
( ( $true
!= ( X4 @ X21 @ X20 ) )
| ( $true
= ( X4 @ X21 @ X19 ) )
| ( $true
!= ( X4 @ X20 @ X19 ) ) ) )
=> ( ! [X6: a,X5: a] :
( ( ? [X7: a > a > $o] :
( ! [X9: a,X8: a] :
( ( $true
= ( X7 @ X8 @ X9 ) )
| ( $true
!= ( sK0 @ X8 @ X9 ) ) )
& ( $true
!= ( X7 @ X5 @ X6 ) )
& ! [X10: a,X11: a,X12: a] :
( ( $true
!= ( X7 @ X11 @ X10 ) )
| ( ( X7 @ X12 @ X11 )
!= $true )
| ( $true
= ( X7 @ X12 @ X10 ) ) ) )
& ? [X13: a > a > $o] :
( ( $true
!= ( X13 @ X5 @ X6 ) )
& ! [X15: a,X14: a] :
( ( $true
= ( X13 @ X15 @ X14 ) )
| ( $true
!= ( sK2 @ X15 @ X14 ) ) )
& ! [X16: a,X17: a,X18: a] :
( ( $true
!= ( X13 @ X18 @ X16 ) )
| ( $true
= ( X13 @ X18 @ X17 ) )
| ( $true
!= ( X13 @ X16 @ X17 ) ) ) ) )
| ( $true
= ( sK4 @ X5 @ X6 ) ) )
& ( $true
!= ( sK4 @ sK1 @ sK3 ) )
& ! [X21: a,X20: a,X19: a] :
( ( $true
!= ( sK4 @ X21 @ X20 ) )
| ( $true
= ( sK4 @ X21 @ X19 ) )
| ( $true
!= ( sK4 @ X20 @ X19 ) ) ) ) ),
introduced(choice_axiom,[]) ).
thf(f11,plain,
! [X5: a,X6: a] :
( ? [X7: a > a > $o] :
( ! [X9: a,X8: a] :
( ( $true
= ( X7 @ X8 @ X9 ) )
| ( $true
!= ( sK0 @ X8 @ X9 ) ) )
& ( $true
!= ( X7 @ X5 @ X6 ) )
& ! [X10: a,X11: a,X12: a] :
( ( $true
!= ( X7 @ X11 @ X10 ) )
| ( ( X7 @ X12 @ X11 )
!= $true )
| ( $true
= ( X7 @ X12 @ X10 ) ) ) )
=> ( ! [X9: a,X8: a] :
( ( $true
= ( sK5 @ X6 @ X5 @ X8 @ X9 ) )
| ( $true
!= ( sK0 @ X8 @ X9 ) ) )
& ( $true
!= ( sK5 @ X6 @ X5 @ X5 @ X6 ) )
& ! [X12: a,X11: a,X10: a] :
( ( $true
!= ( sK5 @ X6 @ X5 @ X11 @ X10 ) )
| ( $true
!= ( sK5 @ X6 @ X5 @ X12 @ X11 ) )
| ( $true
= ( sK5 @ X6 @ X5 @ X12 @ X10 ) ) ) ) ),
introduced(choice_axiom,[]) ).
thf(f12,plain,
! [X5: a,X6: a] :
( ? [X13: a > a > $o] :
( ( $true
!= ( X13 @ X5 @ X6 ) )
& ! [X15: a,X14: a] :
( ( $true
= ( X13 @ X15 @ X14 ) )
| ( $true
!= ( sK2 @ X15 @ X14 ) ) )
& ! [X16: a,X17: a,X18: a] :
( ( $true
!= ( X13 @ X18 @ X16 ) )
| ( $true
= ( X13 @ X18 @ X17 ) )
| ( $true
!= ( X13 @ X16 @ X17 ) ) ) )
=> ( ( $true
!= ( sK6 @ X6 @ X5 @ X5 @ X6 ) )
& ! [X15: a,X14: a] :
( ( $true
= ( sK6 @ X6 @ X5 @ X15 @ X14 ) )
| ( $true
!= ( sK2 @ X15 @ X14 ) ) )
& ! [X18: a,X17: a,X16: a] :
( ( $true
!= ( sK6 @ X6 @ X5 @ X18 @ X16 ) )
| ( $true
= ( sK6 @ X6 @ X5 @ X18 @ X17 ) )
| ( $true
!= ( sK6 @ X6 @ X5 @ X16 @ X17 ) ) ) ) ),
introduced(choice_axiom,[]) ).
thf(f13,plain,
! [X22: a > a > $o] :
( ? [X24: a,X23: a] :
( ( $true
!= ( X22 @ X23 @ X24 ) )
& ( ( $true
= ( sK0 @ X23 @ X24 ) )
| ( $true
= ( sK2 @ X23 @ X24 ) ) ) )
=> ( ( $true
!= ( X22 @ ( sK7 @ X22 ) @ ( sK8 @ X22 ) ) )
& ( ( $true
= ( sK0 @ ( sK7 @ X22 ) @ ( sK8 @ X22 ) ) )
| ( $true
= ( sK2 @ ( sK7 @ X22 ) @ ( sK8 @ X22 ) ) ) ) ) ),
introduced(choice_axiom,[]) ).
thf(f14,plain,
! [X22: a > a > $o] :
( ? [X25: a,X26: a,X27: a] :
( ( $true
= ( X22 @ X26 @ X27 ) )
& ( ( X22 @ X25 @ X26 )
= $true )
& ( $true
!= ( X22 @ X25 @ X27 ) ) )
=> ( ( $true
= ( X22 @ ( sK10 @ X22 ) @ ( sK11 @ X22 ) ) )
& ( $true
= ( X22 @ ( sK9 @ X22 ) @ ( sK10 @ X22 ) ) )
& ( ( X22 @ ( sK9 @ X22 ) @ ( sK11 @ X22 ) )
!= $true ) ) ),
introduced(choice_axiom,[]) ).
thf(f8,plain,
? [X0: a > a > $o,X1: a,X2: a > a > $o,X3: a] :
( ? [X4: a > a > $o] :
( ! [X5: a,X6: a] :
( ( ? [X7: a > a > $o] :
( ! [X8: a,X9: a] :
( ( $true
= ( X7 @ X8 @ X9 ) )
| ( $true
!= ( X0 @ X8 @ X9 ) ) )
& ( $true
!= ( X7 @ X5 @ X6 ) )
& ! [X10: a,X11: a,X12: a] :
( ( $true
!= ( X7 @ X11 @ X10 ) )
| ( ( X7 @ X12 @ X11 )
!= $true )
| ( $true
= ( X7 @ X12 @ X10 ) ) ) )
& ? [X13: a > a > $o] :
( ( $true
!= ( X13 @ X5 @ X6 ) )
& ! [X14: a,X15: a] :
( ( $true
= ( X13 @ X15 @ X14 ) )
| ( $true
!= ( X2 @ X15 @ X14 ) ) )
& ! [X16: a,X17: a,X18: a] :
( ( $true
!= ( X13 @ X18 @ X16 ) )
| ( $true
= ( X13 @ X18 @ X17 ) )
| ( $true
!= ( X13 @ X16 @ X17 ) ) ) ) )
| ( ( X4 @ X5 @ X6 )
= $true ) )
& ( $true
!= ( X4 @ X1 @ X3 ) )
& ! [X19: a,X20: a,X21: a] :
( ( $true
!= ( X4 @ X21 @ X20 ) )
| ( $true
= ( X4 @ X21 @ X19 ) )
| ( $true
!= ( X4 @ X20 @ X19 ) ) ) )
& ! [X22: a > a > $o] :
( ? [X23: a,X24: a] :
( ( $true
!= ( X22 @ X23 @ X24 ) )
& ( ( $true
= ( X0 @ X23 @ X24 ) )
| ( $true
= ( X2 @ X23 @ X24 ) ) ) )
| ? [X25: a,X26: a,X27: a] :
( ( $true
= ( X22 @ X26 @ X27 ) )
& ( ( X22 @ X25 @ X26 )
= $true )
& ( $true
!= ( X22 @ X25 @ X27 ) ) )
| ( $true
= ( X22 @ X1 @ X3 ) ) ) ),
inference(rectify,[],[f7]) ).
thf(f7,plain,
? [X3: a > a > $o,X0: a,X1: a > a > $o,X2: a] :
( ? [X10: a > a > $o] :
( ! [X11: a,X12: a] :
( ( ? [X19: a > a > $o] :
( ! [X23: a,X24: a] :
( ( $true
= ( X19 @ X23 @ X24 ) )
| ( $true
!= ( X3 @ X23 @ X24 ) ) )
& ( $true
!= ( X19 @ X11 @ X12 ) )
& ! [X22: a,X20: a,X21: a] :
( ( $true
!= ( X19 @ X20 @ X22 ) )
| ( $true
!= ( X19 @ X21 @ X20 ) )
| ( $true
= ( X19 @ X21 @ X22 ) ) ) )
& ? [X13: a > a > $o] :
( ( ( X13 @ X11 @ X12 )
!= $true )
& ! [X15: a,X14: a] :
( ( ( X13 @ X14 @ X15 )
= $true )
| ( $true
!= ( X1 @ X14 @ X15 ) ) )
& ! [X17: a,X16: a,X18: a] :
( ( $true
!= ( X13 @ X18 @ X17 ) )
| ( $true
= ( X13 @ X18 @ X16 ) )
| ( $true
!= ( X13 @ X17 @ X16 ) ) ) ) )
| ( ( X10 @ X11 @ X12 )
= $true ) )
& ( $true
!= ( X10 @ X0 @ X2 ) )
& ! [X26: a,X27: a,X25: a] :
( ( $true
!= ( X10 @ X25 @ X27 ) )
| ( $true
= ( X10 @ X25 @ X26 ) )
| ( $true
!= ( X10 @ X27 @ X26 ) ) ) )
& ! [X4: a > a > $o] :
( ? [X9: a,X8: a] :
( ( $true
!= ( X4 @ X9 @ X8 ) )
& ( ( $true
= ( X3 @ X9 @ X8 ) )
| ( $true
= ( X1 @ X9 @ X8 ) ) ) )
| ? [X7: a,X6: a,X5: a] :
( ( $true
= ( X4 @ X6 @ X5 ) )
& ( ( X4 @ X7 @ X6 )
= $true )
& ( $true
!= ( X4 @ X7 @ X5 ) ) )
| ( $true
= ( X4 @ X0 @ X2 ) ) ) ),
inference(flattening,[],[f6]) ).
thf(f6,plain,
? [X0: a,X1: a > a > $o,X3: a > a > $o,X2: a] :
( ? [X10: a > a > $o] :
( ( $true
!= ( X10 @ X0 @ X2 ) )
& ! [X11: a,X12: a] :
( ( ( X10 @ X11 @ X12 )
= $true )
| ( ? [X13: a > a > $o] :
( ( ( X13 @ X11 @ X12 )
!= $true )
& ! [X17: a,X18: a,X16: a] :
( ( $true
= ( X13 @ X18 @ X16 ) )
| ( $true
!= ( X13 @ X18 @ X17 ) )
| ( $true
!= ( X13 @ X17 @ X16 ) ) )
& ! [X15: a,X14: a] :
( ( ( X13 @ X14 @ X15 )
= $true )
| ( $true
!= ( X1 @ X14 @ X15 ) ) ) )
& ? [X19: a > a > $o] :
( ( $true
!= ( X19 @ X11 @ X12 ) )
& ! [X23: a,X24: a] :
( ( $true
= ( X19 @ X23 @ X24 ) )
| ( $true
!= ( X3 @ X23 @ X24 ) ) )
& ! [X21: a,X22: a,X20: a] :
( ( $true
= ( X19 @ X21 @ X22 ) )
| ( $true
!= ( X19 @ X20 @ X22 ) )
| ( $true
!= ( X19 @ X21 @ X20 ) ) ) ) ) )
& ! [X27: a,X25: a,X26: a] :
( ( $true
= ( X10 @ X25 @ X26 ) )
| ( $true
!= ( X10 @ X25 @ X27 ) )
| ( $true
!= ( X10 @ X27 @ X26 ) ) ) )
& ! [X4: a > a > $o] :
( ( $true
= ( X4 @ X0 @ X2 ) )
| ? [X6: a,X7: a,X5: a] :
( ( $true
!= ( X4 @ X7 @ X5 ) )
& ( $true
= ( X4 @ X6 @ X5 ) )
& ( ( X4 @ X7 @ X6 )
= $true ) )
| ? [X9: a,X8: a] :
( ( $true
!= ( X4 @ X9 @ X8 ) )
& ( ( $true
= ( X3 @ X9 @ X8 ) )
| ( $true
= ( X1 @ X9 @ X8 ) ) ) ) ) ),
inference(ennf_transformation,[],[f5]) ).
thf(f5,plain,
~ ! [X0: a,X1: a > a > $o,X3: a > a > $o,X2: a] :
( ! [X4: a > a > $o] :
( ( ! [X6: a,X7: a,X5: a] :
( ( ( $true
= ( X4 @ X6 @ X5 ) )
& ( ( X4 @ X7 @ X6 )
= $true ) )
=> ( $true
= ( X4 @ X7 @ X5 ) ) )
& ! [X9: a,X8: a] :
( ( ( $true
= ( X3 @ X9 @ X8 ) )
| ( $true
= ( X1 @ X9 @ X8 ) ) )
=> ( $true
= ( X4 @ X9 @ X8 ) ) ) )
=> ( $true
= ( X4 @ X0 @ X2 ) ) )
=> ! [X10: a > a > $o] :
( ( ! [X11: a,X12: a] :
( ( ! [X13: a > a > $o] :
( ( ! [X17: a,X18: a,X16: a] :
( ( ( $true
= ( X13 @ X18 @ X17 ) )
& ( $true
= ( X13 @ X17 @ X16 ) ) )
=> ( $true
= ( X13 @ X18 @ X16 ) ) )
& ! [X15: a,X14: a] :
( ( $true
= ( X1 @ X14 @ X15 ) )
=> ( ( X13 @ X14 @ X15 )
= $true ) ) )
=> ( ( X13 @ X11 @ X12 )
= $true ) )
| ! [X19: a > a > $o] :
( ( ! [X23: a,X24: a] :
( ( $true
= ( X3 @ X23 @ X24 ) )
=> ( $true
= ( X19 @ X23 @ X24 ) ) )
& ! [X21: a,X22: a,X20: a] :
( ( ( $true
= ( X19 @ X20 @ X22 ) )
& ( $true
= ( X19 @ X21 @ X20 ) ) )
=> ( $true
= ( X19 @ X21 @ X22 ) ) ) )
=> ( $true
= ( X19 @ X11 @ X12 ) ) ) )
=> ( ( X10 @ X11 @ X12 )
= $true ) )
& ! [X27: a,X25: a,X26: a] :
( ( ( $true
= ( X10 @ X25 @ X27 ) )
& ( $true
= ( X10 @ X27 @ X26 ) ) )
=> ( $true
= ( X10 @ X25 @ X26 ) ) ) )
=> ( $true
= ( X10 @ X0 @ X2 ) ) ) ),
inference(fool_elimination,[],[f4]) ).
thf(f4,plain,
~ ! [X0: a,X1: a > a > $o,X2: a,X3: a > a > $o] :
( ! [X4: a > a > $o] :
( ( ! [X5: a,X6: a,X7: a] :
( ( ( X4 @ X7 @ X6 )
& ( X4 @ X6 @ X5 ) )
=> ( X4 @ X7 @ X5 ) )
& ! [X8: a,X9: a] :
( ( ( X3 @ X9 @ X8 )
| ( X1 @ X9 @ X8 ) )
=> ( X4 @ X9 @ X8 ) ) )
=> ( X4 @ X0 @ X2 ) )
=> ! [X10: a > a > $o] :
( ( ! [X11: a,X12: a] :
( ( ! [X13: a > a > $o] :
( ( ! [X14: a,X15: a] :
( ( X1 @ X14 @ X15 )
=> ( X13 @ X14 @ X15 ) )
& ! [X16: a,X17: a,X18: a] :
( ( ( X13 @ X17 @ X16 )
& ( X13 @ X18 @ X17 ) )
=> ( X13 @ X18 @ X16 ) ) )
=> ( X13 @ X11 @ X12 ) )
| ! [X19: a > a > $o] :
( ( ! [X20: a,X21: a,X22: a] :
( ( ( X19 @ X21 @ X20 )
& ( X19 @ X20 @ X22 ) )
=> ( X19 @ X21 @ X22 ) )
& ! [X23: a,X24: a] :
( ( X3 @ X23 @ X24 )
=> ( X19 @ X23 @ X24 ) ) )
=> ( X19 @ X11 @ X12 ) ) )
=> ( X10 @ X11 @ X12 ) )
& ! [X25: a,X26: a,X27: a] :
( ( ( X10 @ X27 @ X26 )
& ( X10 @ X25 @ X27 ) )
=> ( X10 @ X25 @ X26 ) ) )
=> ( X10 @ X0 @ X2 ) ) ),
inference(rectify,[],[f2]) ).
thf(f2,negated_conjecture,
~ ! [X2: a,X1: a > a > $o,X3: a,X0: a > a > $o] :
( ! [X4: a > a > $o] :
( ( ! [X9: a,X8: a,X7: a] :
( ( ( X4 @ X7 @ X8 )
& ( X4 @ X8 @ X9 ) )
=> ( X4 @ X7 @ X9 ) )
& ! [X6: a,X5: a] :
( ( ( X0 @ X5 @ X6 )
| ( X1 @ X5 @ X6 ) )
=> ( X4 @ X5 @ X6 ) ) )
=> ( X4 @ X2 @ X3 ) )
=> ! [X10: a > a > $o] :
( ( ! [X11: a,X12: a] :
( ( ! [X16: a > a > $o] :
( ( ! [X17: a,X18: a] :
( ( X1 @ X17 @ X18 )
=> ( X16 @ X17 @ X18 ) )
& ! [X9: a,X8: a,X7: a] :
( ( ( X16 @ X8 @ X9 )
& ( X16 @ X7 @ X8 ) )
=> ( X16 @ X7 @ X9 ) ) )
=> ( X16 @ X11 @ X12 ) )
| ! [X13: a > a > $o] :
( ( ! [X8: a,X7: a,X9: a] :
( ( ( X13 @ X7 @ X8 )
& ( X13 @ X8 @ X9 ) )
=> ( X13 @ X7 @ X9 ) )
& ! [X14: a,X15: a] :
( ( X0 @ X14 @ X15 )
=> ( X13 @ X14 @ X15 ) ) )
=> ( X13 @ X11 @ X12 ) ) )
=> ( X10 @ X11 @ X12 ) )
& ! [X7: a,X9: a,X8: a] :
( ( ( X10 @ X8 @ X9 )
& ( X10 @ X7 @ X8 ) )
=> ( X10 @ X7 @ X9 ) ) )
=> ( X10 @ X2 @ X3 ) ) ),
inference(negated_conjecture,[],[f1]) ).
thf(f1,conjecture,
! [X2: a,X1: a > a > $o,X3: a,X0: a > a > $o] :
( ! [X4: a > a > $o] :
( ( ! [X9: a,X8: a,X7: a] :
( ( ( X4 @ X7 @ X8 )
& ( X4 @ X8 @ X9 ) )
=> ( X4 @ X7 @ X9 ) )
& ! [X6: a,X5: a] :
( ( ( X0 @ X5 @ X6 )
| ( X1 @ X5 @ X6 ) )
=> ( X4 @ X5 @ X6 ) ) )
=> ( X4 @ X2 @ X3 ) )
=> ! [X10: a > a > $o] :
( ( ! [X11: a,X12: a] :
( ( ! [X16: a > a > $o] :
( ( ! [X17: a,X18: a] :
( ( X1 @ X17 @ X18 )
=> ( X16 @ X17 @ X18 ) )
& ! [X9: a,X8: a,X7: a] :
( ( ( X16 @ X8 @ X9 )
& ( X16 @ X7 @ X8 ) )
=> ( X16 @ X7 @ X9 ) ) )
=> ( X16 @ X11 @ X12 ) )
| ! [X13: a > a > $o] :
( ( ! [X8: a,X7: a,X9: a] :
( ( ( X13 @ X7 @ X8 )
& ( X13 @ X8 @ X9 ) )
=> ( X13 @ X7 @ X9 ) )
& ! [X14: a,X15: a] :
( ( X0 @ X14 @ X15 )
=> ( X13 @ X14 @ X15 ) ) )
=> ( X13 @ X11 @ X12 ) ) )
=> ( X10 @ X11 @ X12 ) )
& ! [X7: a,X9: a,X8: a] :
( ( ( X10 @ X8 @ X9 )
& ( X10 @ X7 @ X8 ) )
=> ( X10 @ X7 @ X9 ) ) )
=> ( X10 @ X2 @ X3 ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cTHM251F_pme) ).
thf(f561,plain,
( ( $true
= ( sK4 @ sK1 @ sK3 ) )
| ~ spl12_5
| spl12_8
| spl12_28 ),
inference(subsumption_resolution,[],[f560,f103]) ).
thf(f103,plain,
( ( $true
= ( sK4 @ ( sK9 @ sK4 ) @ ( sK11 @ sK4 ) ) )
| ~ spl12_5 ),
inference(avatar_component_clause,[],[f102]) ).
thf(f102,plain,
( spl12_5
<=> ( $true
= ( sK4 @ ( sK9 @ sK4 ) @ ( sK11 @ sK4 ) ) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl12_5])]) ).
thf(f560,plain,
( ( $true
!= ( sK4 @ ( sK9 @ sK4 ) @ ( sK11 @ sK4 ) ) )
| ( $true
= ( sK4 @ sK1 @ sK3 ) )
| spl12_8
| spl12_28 ),
inference(subsumption_resolution,[],[f356,f525]) ).
thf(f525,plain,
( ( $true
!= ( sK0 @ ( sK7 @ sK4 ) @ ( sK8 @ sK4 ) ) )
| spl12_28 ),
inference(avatar_component_clause,[],[f524]) ).
thf(f524,plain,
( spl12_28
<=> ( $true
= ( sK0 @ ( sK7 @ sK4 ) @ ( sK8 @ sK4 ) ) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl12_28])]) ).
thf(f356,plain,
( ( $true
= ( sK0 @ ( sK7 @ sK4 ) @ ( sK8 @ sK4 ) ) )
| ( $true
!= ( sK4 @ ( sK9 @ sK4 ) @ ( sK11 @ sK4 ) ) )
| ( $true
= ( sK4 @ sK1 @ sK3 ) )
| spl12_8 ),
inference(trivial_inequality_removal,[],[f355]) ).
thf(f355,plain,
( ( $true
!= ( sK4 @ ( sK9 @ sK4 ) @ ( sK11 @ sK4 ) ) )
| ( $true != $true )
| ( $true
= ( sK0 @ ( sK7 @ sK4 ) @ ( sK8 @ sK4 ) ) )
| ( $true
= ( sK4 @ sK1 @ sK3 ) )
| spl12_8 ),
inference(superposition,[],[f119,f16]) ).
thf(f16,plain,
! [X22: a > a > $o] :
( ( $true
= ( sK2 @ ( sK7 @ X22 ) @ ( sK8 @ X22 ) ) )
| ( $true
= ( sK0 @ ( sK7 @ X22 ) @ ( sK8 @ X22 ) ) )
| ( ( X22 @ ( sK9 @ X22 ) @ ( sK11 @ X22 ) )
!= $true )
| ( $true
= ( X22 @ sK1 @ sK3 ) ) ),
inference(cnf_transformation,[],[f15]) ).
thf(f119,plain,
( ( $true
!= ( sK2 @ ( sK7 @ sK4 ) @ ( sK8 @ sK4 ) ) )
| spl12_8 ),
inference(avatar_component_clause,[],[f117]) ).
thf(f117,plain,
( spl12_8
<=> ( $true
= ( sK2 @ ( sK7 @ sK4 ) @ ( sK8 @ sK4 ) ) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl12_8])]) ).
thf(f559,plain,
( ~ spl12_5
| ~ spl12_28 ),
inference(avatar_contradiction_clause,[],[f558]) ).
thf(f558,plain,
( $false
| ~ spl12_5
| ~ spl12_28 ),
inference(subsumption_resolution,[],[f557,f526]) ).
thf(f526,plain,
( ( $true
= ( sK0 @ ( sK7 @ sK4 ) @ ( sK8 @ sK4 ) ) )
| ~ spl12_28 ),
inference(avatar_component_clause,[],[f524]) ).
thf(f557,plain,
( ( $true
!= ( sK0 @ ( sK7 @ sK4 ) @ ( sK8 @ sK4 ) ) )
| ~ spl12_5 ),
inference(subsumption_resolution,[],[f556,f23]) ).
thf(f556,plain,
( ( $true
= ( sK4 @ sK1 @ sK3 ) )
| ( $true
!= ( sK0 @ ( sK7 @ sK4 ) @ ( sK8 @ sK4 ) ) )
| ~ spl12_5 ),
inference(subsumption_resolution,[],[f157,f103]) ).
thf(f157,plain,
( ( $true
!= ( sK4 @ ( sK9 @ sK4 ) @ ( sK11 @ sK4 ) ) )
| ( $true
= ( sK4 @ sK1 @ sK3 ) )
| ( $true
!= ( sK0 @ ( sK7 @ sK4 ) @ ( sK8 @ sK4 ) ) ) ),
inference(trivial_inequality_removal,[],[f155]) ).
thf(f155,plain,
( ( $true
!= ( sK4 @ ( sK9 @ sK4 ) @ ( sK11 @ sK4 ) ) )
| ( $true
= ( sK4 @ sK1 @ sK3 ) )
| ( $true != $true )
| ( $true
!= ( sK0 @ ( sK7 @ sK4 ) @ ( sK8 @ sK4 ) ) ) ),
inference(superposition,[],[f19,f51]) ).
thf(f51,plain,
! [X0: a,X1: a] :
( ( $true
= ( sK4 @ X1 @ X0 ) )
| ( $true
!= ( sK0 @ X1 @ X0 ) ) ),
inference(trivial_inequality_removal,[],[f50]) ).
thf(f50,plain,
! [X0: a,X1: a] :
( ( $true
!= ( sK0 @ X1 @ X0 ) )
| ( $true
= ( sK4 @ X1 @ X0 ) )
| ( $true != $true ) ),
inference(duplicate_literal_removal,[],[f49]) ).
thf(f49,plain,
! [X0: a,X1: a] :
( ( $true
= ( sK4 @ X1 @ X0 ) )
| ( $true != $true )
| ( $true
= ( sK4 @ X1 @ X0 ) )
| ( $true
!= ( sK0 @ X1 @ X0 ) ) ),
inference(superposition,[],[f28,f29]) ).
thf(f29,plain,
! [X8: a,X6: a,X9: a,X5: a] :
( ( $true
= ( sK5 @ X6 @ X5 @ X8 @ X9 ) )
| ( $true
= ( sK4 @ X5 @ X6 ) )
| ( $true
!= ( sK0 @ X8 @ X9 ) ) ),
inference(cnf_transformation,[],[f15]) ).
thf(f28,plain,
! [X6: a,X5: a] :
( ( $true
!= ( sK5 @ X6 @ X5 @ X5 @ X6 ) )
| ( $true
= ( sK4 @ X5 @ X6 ) ) ),
inference(cnf_transformation,[],[f15]) ).
thf(f19,plain,
! [X22: a > a > $o] :
( ( $true
!= ( X22 @ ( sK7 @ X22 ) @ ( sK8 @ X22 ) ) )
| ( ( X22 @ ( sK9 @ X22 ) @ ( sK11 @ X22 ) )
!= $true )
| ( $true
= ( X22 @ sK1 @ sK3 ) ) ),
inference(cnf_transformation,[],[f15]) ).
thf(f555,plain,
( ~ spl12_14
| spl12_27 ),
inference(avatar_contradiction_clause,[],[f554]) ).
thf(f554,plain,
( $false
| ~ spl12_14
| spl12_27 ),
inference(subsumption_resolution,[],[f553,f23]) ).
thf(f553,plain,
( ( $true
= ( sK4 @ sK1 @ sK3 ) )
| ~ spl12_14
| spl12_27 ),
inference(subsumption_resolution,[],[f552,f277]) ).
thf(f277,plain,
( ( $true
= ( sK4 @ ( sK7 @ sK4 ) @ ( sK8 @ sK4 ) ) )
| ~ spl12_14 ),
inference(avatar_component_clause,[],[f276]) ).
thf(f276,plain,
( spl12_14
<=> ( $true
= ( sK4 @ ( sK7 @ sK4 ) @ ( sK8 @ sK4 ) ) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl12_14])]) ).
thf(f552,plain,
( ( $true
!= ( sK4 @ ( sK7 @ sK4 ) @ ( sK8 @ sK4 ) ) )
| ( $true
= ( sK4 @ sK1 @ sK3 ) )
| spl12_27 ),
inference(trivial_inequality_removal,[],[f548]) ).
thf(f548,plain,
( ( $true != $true )
| ( $true
= ( sK4 @ sK1 @ sK3 ) )
| ( $true
!= ( sK4 @ ( sK7 @ sK4 ) @ ( sK8 @ sK4 ) ) )
| spl12_27 ),
inference(superposition,[],[f521,f21]) ).
thf(f21,plain,
! [X22: a > a > $o] :
( ( $true
= ( X22 @ ( sK10 @ X22 ) @ ( sK11 @ X22 ) ) )
| ( $true
!= ( X22 @ ( sK7 @ X22 ) @ ( sK8 @ X22 ) ) )
| ( $true
= ( X22 @ sK1 @ sK3 ) ) ),
inference(cnf_transformation,[],[f15]) ).
thf(f521,plain,
( ( $true
!= ( sK4 @ ( sK10 @ sK4 ) @ ( sK11 @ sK4 ) ) )
| spl12_27 ),
inference(avatar_component_clause,[],[f519]) ).
thf(f519,plain,
( spl12_27
<=> ( $true
= ( sK4 @ ( sK10 @ sK4 ) @ ( sK11 @ sK4 ) ) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl12_27])]) ).
thf(f522,plain,
( ~ spl12_27
| ~ spl12_14
| spl12_5 ),
inference(avatar_split_clause,[],[f517,f102,f276,f519]) ).
thf(f517,plain,
( ( $true
!= ( sK4 @ ( sK7 @ sK4 ) @ ( sK8 @ sK4 ) ) )
| ( $true
!= ( sK4 @ ( sK10 @ sK4 ) @ ( sK11 @ sK4 ) ) )
| spl12_5 ),
inference(subsumption_resolution,[],[f510,f23]) ).
thf(f510,plain,
( ( $true
= ( sK4 @ sK1 @ sK3 ) )
| ( $true
!= ( sK4 @ ( sK10 @ sK4 ) @ ( sK11 @ sK4 ) ) )
| ( $true
!= ( sK4 @ ( sK7 @ sK4 ) @ ( sK8 @ sK4 ) ) )
| spl12_5 ),
inference(trivial_inequality_removal,[],[f509]) ).
thf(f509,plain,
( ( $true
!= ( sK4 @ ( sK7 @ sK4 ) @ ( sK8 @ sK4 ) ) )
| ( $true
= ( sK4 @ sK1 @ sK3 ) )
| ( $true
!= ( sK4 @ ( sK10 @ sK4 ) @ ( sK11 @ sK4 ) ) )
| ( $true != $true )
| spl12_5 ),
inference(superposition,[],[f230,f20]) ).
thf(f20,plain,
! [X22: a > a > $o] :
( ( $true
= ( X22 @ ( sK9 @ X22 ) @ ( sK10 @ X22 ) ) )
| ( $true
= ( X22 @ sK1 @ sK3 ) )
| ( $true
!= ( X22 @ ( sK7 @ X22 ) @ ( sK8 @ X22 ) ) ) ),
inference(cnf_transformation,[],[f15]) ).
thf(f230,plain,
( ! [X0: a] :
( ( $true
!= ( sK4 @ ( sK9 @ sK4 ) @ X0 ) )
| ( $true
!= ( sK4 @ X0 @ ( sK11 @ sK4 ) ) ) )
| spl12_5 ),
inference(trivial_inequality_removal,[],[f228]) ).
thf(f228,plain,
( ! [X0: a] :
( ( $true != $true )
| ( $true
!= ( sK4 @ X0 @ ( sK11 @ sK4 ) ) )
| ( $true
!= ( sK4 @ ( sK9 @ sK4 ) @ X0 ) ) )
| spl12_5 ),
inference(superposition,[],[f104,f22]) ).
thf(f22,plain,
! [X21: a,X19: a,X20: a] :
( ( $true
= ( sK4 @ X21 @ X19 ) )
| ( $true
!= ( sK4 @ X21 @ X20 ) )
| ( $true
!= ( sK4 @ X20 @ X19 ) ) ),
inference(cnf_transformation,[],[f15]) ).
thf(f104,plain,
( ( $true
!= ( sK4 @ ( sK9 @ sK4 ) @ ( sK11 @ sK4 ) ) )
| spl12_5 ),
inference(avatar_component_clause,[],[f102]) ).
thf(f516,plain,
( spl12_5
| spl12_8
| spl12_14 ),
inference(avatar_contradiction_clause,[],[f515]) ).
thf(f515,plain,
( $false
| spl12_5
| spl12_8
| spl12_14 ),
inference(subsumption_resolution,[],[f512,f360]) ).
thf(f360,plain,
( ( $true
= ( sK4 @ ( sK10 @ sK4 ) @ ( sK11 @ sK4 ) ) )
| spl12_8
| spl12_14 ),
inference(subsumption_resolution,[],[f359,f343]) ).
thf(f343,plain,
( ( $true
!= ( sK0 @ ( sK7 @ sK4 ) @ ( sK8 @ sK4 ) ) )
| spl12_14 ),
inference(trivial_inequality_removal,[],[f339]) ).
thf(f339,plain,
( ( $true != $true )
| ( $true
!= ( sK0 @ ( sK7 @ sK4 ) @ ( sK8 @ sK4 ) ) )
| spl12_14 ),
inference(superposition,[],[f278,f51]) ).
thf(f278,plain,
( ( $true
!= ( sK4 @ ( sK7 @ sK4 ) @ ( sK8 @ sK4 ) ) )
| spl12_14 ),
inference(avatar_component_clause,[],[f276]) ).
thf(f359,plain,
( ( $true
= ( sK0 @ ( sK7 @ sK4 ) @ ( sK8 @ sK4 ) ) )
| ( $true
= ( sK4 @ ( sK10 @ sK4 ) @ ( sK11 @ sK4 ) ) )
| spl12_8 ),
inference(subsumption_resolution,[],[f358,f23]) ).
thf(f358,plain,
( ( $true
= ( sK4 @ sK1 @ sK3 ) )
| ( $true
= ( sK0 @ ( sK7 @ sK4 ) @ ( sK8 @ sK4 ) ) )
| ( $true
= ( sK4 @ ( sK10 @ sK4 ) @ ( sK11 @ sK4 ) ) )
| spl12_8 ),
inference(trivial_inequality_removal,[],[f353]) ).
thf(f353,plain,
( ( $true
= ( sK4 @ ( sK10 @ sK4 ) @ ( sK11 @ sK4 ) ) )
| ( $true != $true )
| ( $true
= ( sK4 @ sK1 @ sK3 ) )
| ( $true
= ( sK0 @ ( sK7 @ sK4 ) @ ( sK8 @ sK4 ) ) )
| spl12_8 ),
inference(superposition,[],[f119,f18]) ).
thf(f18,plain,
! [X22: a > a > $o] :
( ( $true
= ( sK2 @ ( sK7 @ X22 ) @ ( sK8 @ X22 ) ) )
| ( $true
= ( X22 @ ( sK10 @ X22 ) @ ( sK11 @ X22 ) ) )
| ( $true
= ( X22 @ sK1 @ sK3 ) )
| ( $true
= ( sK0 @ ( sK7 @ X22 ) @ ( sK8 @ X22 ) ) ) ),
inference(cnf_transformation,[],[f15]) ).
thf(f512,plain,
( ( $true
!= ( sK4 @ ( sK10 @ sK4 ) @ ( sK11 @ sK4 ) ) )
| spl12_5
| spl12_8
| spl12_14 ),
inference(trivial_inequality_removal,[],[f505]) ).
thf(f505,plain,
( ( $true != $true )
| ( $true
!= ( sK4 @ ( sK10 @ sK4 ) @ ( sK11 @ sK4 ) ) )
| spl12_5
| spl12_8
| spl12_14 ),
inference(superposition,[],[f230,f362]) ).
thf(f362,plain,
( ( ( sK4 @ ( sK9 @ sK4 ) @ ( sK10 @ sK4 ) )
= $true )
| spl12_8
| spl12_14 ),
inference(subsumption_resolution,[],[f361,f343]) ).
thf(f361,plain,
( ( $true
= ( sK0 @ ( sK7 @ sK4 ) @ ( sK8 @ sK4 ) ) )
| ( ( sK4 @ ( sK9 @ sK4 ) @ ( sK10 @ sK4 ) )
= $true )
| spl12_8 ),
inference(subsumption_resolution,[],[f357,f23]) ).
thf(f357,plain,
( ( $true
= ( sK4 @ sK1 @ sK3 ) )
| ( ( sK4 @ ( sK9 @ sK4 ) @ ( sK10 @ sK4 ) )
= $true )
| ( $true
= ( sK0 @ ( sK7 @ sK4 ) @ ( sK8 @ sK4 ) ) )
| spl12_8 ),
inference(trivial_inequality_removal,[],[f354]) ).
thf(f354,plain,
( ( ( sK4 @ ( sK9 @ sK4 ) @ ( sK10 @ sK4 ) )
= $true )
| ( $true
= ( sK0 @ ( sK7 @ sK4 ) @ ( sK8 @ sK4 ) ) )
| ( $true != $true )
| ( $true
= ( sK4 @ sK1 @ sK3 ) )
| spl12_8 ),
inference(superposition,[],[f119,f17]) ).
thf(f17,plain,
! [X22: a > a > $o] :
( ( $true
= ( sK2 @ ( sK7 @ X22 ) @ ( sK8 @ X22 ) ) )
| ( $true
= ( X22 @ ( sK9 @ X22 ) @ ( sK10 @ X22 ) ) )
| ( $true
= ( sK0 @ ( sK7 @ X22 ) @ ( sK8 @ X22 ) ) )
| ( $true
= ( X22 @ sK1 @ sK3 ) ) ),
inference(cnf_transformation,[],[f15]) ).
thf(f346,plain,
( ~ spl12_8
| spl12_14 ),
inference(avatar_split_clause,[],[f342,f276,f117]) ).
thf(f342,plain,
( ( $true
!= ( sK2 @ ( sK7 @ sK4 ) @ ( sK8 @ sK4 ) ) )
| spl12_14 ),
inference(trivial_inequality_removal,[],[f340]) ).
thf(f340,plain,
( ( $true != $true )
| ( $true
!= ( sK2 @ ( sK7 @ sK4 ) @ ( sK8 @ sK4 ) ) )
| spl12_14 ),
inference(superposition,[],[f278,f40]) ).
thf(f40,plain,
! [X0: a,X1: a] :
( ( $true
= ( sK4 @ X1 @ X0 ) )
| ( $true
!= ( sK2 @ X1 @ X0 ) ) ),
inference(trivial_inequality_removal,[],[f39]) ).
thf(f39,plain,
! [X0: a,X1: a] :
( ( $true
!= ( sK2 @ X1 @ X0 ) )
| ( $true
= ( sK4 @ X1 @ X0 ) )
| ( $true != $true ) ),
inference(duplicate_literal_removal,[],[f38]) ).
thf(f38,plain,
! [X0: a,X1: a] :
( ( $true
= ( sK4 @ X1 @ X0 ) )
| ( $true
!= ( sK2 @ X1 @ X0 ) )
| ( $true
= ( sK4 @ X1 @ X0 ) )
| ( $true != $true ) ),
inference(superposition,[],[f26,f25]) ).
thf(f25,plain,
! [X6: a,X14: a,X15: a,X5: a] :
( ( $true
= ( sK6 @ X6 @ X5 @ X15 @ X14 ) )
| ( $true
= ( sK4 @ X5 @ X6 ) )
| ( $true
!= ( sK2 @ X15 @ X14 ) ) ),
inference(cnf_transformation,[],[f15]) ).
thf(f26,plain,
! [X6: a,X5: a] :
( ( $true
!= ( sK6 @ X6 @ X5 @ X5 @ X6 ) )
| ( $true
= ( sK4 @ X5 @ X6 ) ) ),
inference(cnf_transformation,[],[f15]) ).
thf(f120,plain,
( ~ spl12_8
| ~ spl12_5 ),
inference(avatar_split_clause,[],[f115,f102,f117]) ).
thf(f115,plain,
( ( $true
!= ( sK2 @ ( sK7 @ sK4 ) @ ( sK8 @ sK4 ) ) )
| ( $true
!= ( sK4 @ ( sK9 @ sK4 ) @ ( sK11 @ sK4 ) ) ) ),
inference(subsumption_resolution,[],[f67,f23]) ).
thf(f67,plain,
( ( $true
!= ( sK2 @ ( sK7 @ sK4 ) @ ( sK8 @ sK4 ) ) )
| ( $true
= ( sK4 @ sK1 @ sK3 ) )
| ( $true
!= ( sK4 @ ( sK9 @ sK4 ) @ ( sK11 @ sK4 ) ) ) ),
inference(trivial_inequality_removal,[],[f57]) ).
thf(f57,plain,
( ( $true
!= ( sK2 @ ( sK7 @ sK4 ) @ ( sK8 @ sK4 ) ) )
| ( $true
= ( sK4 @ sK1 @ sK3 ) )
| ( $true != $true )
| ( $true
!= ( sK4 @ ( sK9 @ sK4 ) @ ( sK11 @ sK4 ) ) ) ),
inference(superposition,[],[f19,f40]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.04/0.12 % Problem : SEV109^5 : TPTP v8.2.0. Released v4.0.0.
% 0.04/0.12 % Command : run_vampire %s %d THM
% 0.12/0.33 % Computer : n028.cluster.edu
% 0.12/0.33 % Model : x86_64 x86_64
% 0.12/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33 % Memory : 8042.1875MB
% 0.12/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33 % CPULimit : 300
% 0.12/0.33 % WCLimit : 300
% 0.12/0.33 % DateTime : Fri Jun 21 18:58:09 EDT 2024
% 0.12/0.33 % CPUTime :
% 0.20/0.35 This is a TH0_THM_NEQ_NAR problem
% 0.20/0.35 Running higher-order theorem proving
% 0.20/0.35 Running /export/starexec/sandbox2/solver/bin/vampire_ho --cores 7 --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_hol /export/starexec/sandbox2/benchmark/theBenchmark.p -m 16384 -t 300
% 0.20/0.37 % (26452)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 % (26455)lrs+10_1:1_au=on:inj=on:i=2:si=on:rtra=on_0 on theBenchmark for (2999ds/2Mi)
% 0.20/0.37 % (26454)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 % (26456)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 % (26453)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 % (26458)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 % (26457)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 % (26455)Instruction limit reached!
% 0.20/0.37 % (26455)------------------------------
% 0.20/0.37 % (26455)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200)
% 0.20/0.37 % (26455)Termination reason: Unknown
% 0.20/0.37 % (26455)Termination phase: Preprocessing 3
% 0.20/0.37
% 0.20/0.37 % (26455)Memory used [KB]: 1023
% 0.20/0.37 % (26455)Time elapsed: 0.004 s
% 0.20/0.37 % (26455)Instructions burned: 2 (million)
% 0.20/0.37 % (26455)------------------------------
% 0.20/0.37 % (26455)------------------------------
% 0.20/0.37 % (26456)Instruction limit reached!
% 0.20/0.37 % (26456)------------------------------
% 0.20/0.37 % (26456)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200)
% 0.20/0.37 % (26456)Termination reason: Unknown
% 0.20/0.37 % (26456)Termination phase: Property scanning
% 0.20/0.37
% 0.20/0.37 % (26456)Memory used [KB]: 1023
% 0.20/0.37 % (26456)Time elapsed: 0.004 s
% 0.20/0.37 % (26456)Instructions burned: 3 (million)
% 0.20/0.37 % (26456)------------------------------
% 0.20/0.37 % (26456)------------------------------
% 0.20/0.37 % (26453)Instruction limit reached!
% 0.20/0.37 % (26453)------------------------------
% 0.20/0.37 % (26453)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200)
% 0.20/0.37 % (26453)Termination reason: Unknown
% 0.20/0.37 % (26453)Termination phase: Saturation
% 0.20/0.37
% 0.20/0.37 % (26453)Memory used [KB]: 5500
% 0.20/0.37 % (26453)Time elapsed: 0.005 s
% 0.20/0.37 % (26453)Instructions burned: 4 (million)
% 0.20/0.37 % (26453)------------------------------
% 0.20/0.37 % (26453)------------------------------
% 0.20/0.38 % (26458)Instruction limit reached!
% 0.20/0.38 % (26458)------------------------------
% 0.20/0.38 % (26458)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200)
% 0.20/0.38 % (26458)Termination reason: Unknown
% 0.20/0.38 % (26458)Termination phase: Saturation
% 0.20/0.38
% 0.20/0.38 % (26458)Memory used [KB]: 5628
% 0.20/0.38 % (26458)Time elapsed: 0.014 s
% 0.20/0.38 % (26458)Instructions burned: 18 (million)
% 0.20/0.38 % (26458)------------------------------
% 0.20/0.38 % (26458)------------------------------
% 0.20/0.39 % (26465)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)
% 0.20/0.39 % (26464)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)
% 0.20/0.39 % (26467)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)
% 0.20/0.39 % (26454)Instruction limit reached!
% 0.20/0.39 % (26454)------------------------------
% 0.20/0.39 % (26454)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200)
% 0.20/0.39 % (26454)Termination reason: Unknown
% 0.20/0.39 % (26454)Termination phase: Saturation
% 0.20/0.39
% 0.20/0.39 % (26454)Memory used [KB]: 5756
% 0.20/0.39 % (26454)Time elapsed: 0.021 s
% 0.20/0.39 % (26454)Instructions burned: 27 (million)
% 0.20/0.39 % (26454)------------------------------
% 0.20/0.39 % (26454)------------------------------
% 0.20/0.39 % (26464)Instruction limit reached!
% 0.20/0.39 % (26464)------------------------------
% 0.20/0.39 % (26464)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200)
% 0.20/0.39 % (26464)Termination reason: Unknown
% 0.20/0.39 % (26464)Termination phase: Saturation
% 0.20/0.39
% 0.20/0.39 % (26464)Memory used [KB]: 5500
% 0.20/0.39 % (26464)Time elapsed: 0.004 s
% 0.20/0.39 % (26464)Instructions burned: 3 (million)
% 0.20/0.39 % (26464)------------------------------
% 0.20/0.39 % (26464)------------------------------
% 0.20/0.40 % (26471)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)
% 0.20/0.40 % (26471)Instruction limit reached!
% 0.20/0.40 % (26471)------------------------------
% 0.20/0.40 % (26471)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200)
% 0.20/0.40 % (26471)Termination reason: Unknown
% 0.20/0.40 % (26471)Termination phase: Preprocessing 3
% 0.20/0.40
% 0.20/0.40 % (26471)Memory used [KB]: 1023
% 0.20/0.40 % (26471)Time elapsed: 0.004 s
% 0.20/0.40 % (26471)Instructions burned: 3 (million)
% 0.20/0.40 % (26471)------------------------------
% 0.20/0.40 % (26471)------------------------------
% 0.20/0.40 % (26467)Instruction limit reached!
% 0.20/0.40 % (26467)------------------------------
% 0.20/0.40 % (26467)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200)
% 0.20/0.40 % (26467)Termination reason: Unknown
% 0.20/0.40 % (26467)Termination phase: Saturation
% 0.20/0.40
% 0.20/0.40 % (26467)Memory used [KB]: 5628
% 0.20/0.40 % (26467)Time elapsed: 0.013 s
% 0.20/0.40 % (26467)Instructions burned: 16 (million)
% 0.20/0.40 % (26467)------------------------------
% 0.20/0.40 % (26467)------------------------------
% 0.20/0.41 % (26476)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)
% 0.20/0.41 % (26477)lrs+10_1:1_av=off:chr=on:plsq=on:slsq=on:i=7:si=on:rtra=on_0 on theBenchmark for (2999ds/7Mi)
% 0.20/0.41 % (26465)Instruction limit reached!
% 0.20/0.41 % (26465)------------------------------
% 0.20/0.41 % (26465)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200)
% 0.20/0.41 % (26465)Termination reason: Unknown
% 0.20/0.41 % (26465)Termination phase: Saturation
% 0.20/0.41
% 0.20/0.41 % (26465)Memory used [KB]: 5756
% 0.20/0.41 % (26465)Time elapsed: 0.024 s
% 0.20/0.41 % (26465)Instructions burned: 38 (million)
% 0.20/0.41 % (26465)------------------------------
% 0.20/0.41 % (26465)------------------------------
% 0.20/0.41 % (26477)Instruction limit reached!
% 0.20/0.41 % (26477)------------------------------
% 0.20/0.41 % (26477)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200)
% 0.20/0.41 % (26477)Termination reason: Unknown
% 0.20/0.41 % (26477)Termination phase: Saturation
% 0.20/0.41
% 0.20/0.41 % (26477)Memory used [KB]: 1023
% 0.20/0.41 % (26477)Time elapsed: 0.007 s
% 0.20/0.41 % (26477)Instructions burned: 7 (million)
% 0.20/0.41 % (26477)------------------------------
% 0.20/0.41 % (26477)------------------------------
% 0.20/0.42 % (26481)lrs+10_1:1_acc=on:amm=sco:cs=on:tgt=full:i=16:si=on:rtra=on_0 on theBenchmark for (2999ds/16Mi)
% 0.20/0.42 % (26483)lrs+21_1:1_au=on:cnfonf=off:fd=preordered:fe=off:fsr=off:hud=11:inj=on:kws=precedence:s2pl=no:sp=weighted_frequency:tgt=full:i=3:si=on:rtra=on_0 on theBenchmark for (2999ds/3Mi)
% 0.20/0.42 % (26483)Instruction limit reached!
% 0.20/0.42 % (26483)------------------------------
% 0.20/0.42 % (26483)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200)
% 0.20/0.42 % (26483)Termination reason: Unknown
% 0.20/0.42 % (26483)Termination phase: Property scanning
% 0.20/0.42
% 0.20/0.42 % (26483)Memory used [KB]: 1023
% 0.20/0.42 % (26483)Time elapsed: 0.004 s
% 0.20/0.42 % (26483)Instructions burned: 3 (million)
% 0.20/0.42 % (26483)------------------------------
% 0.20/0.42 % (26483)------------------------------
% 0.20/0.43 % (26457)First to succeed.
% 0.20/0.43 % (26481)Instruction limit reached!
% 0.20/0.43 % (26481)------------------------------
% 0.20/0.43 % (26481)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200)
% 0.20/0.43 % (26481)Termination reason: Unknown
% 0.20/0.43 % (26481)Termination phase: Saturation
% 0.20/0.43
% 0.20/0.43 % (26481)Memory used [KB]: 5628
% 0.20/0.43 % (26481)Time elapsed: 0.012 s
% 0.20/0.43 % (26481)Instructions burned: 16 (million)
% 0.20/0.43 % (26481)------------------------------
% 0.20/0.43 % (26481)------------------------------
% 0.20/0.43 % (26487)lrs+2_1:1_apa=on:au=on:bd=preordered:cnfonf=off:cs=on:ixr=off:sos=on:i=3:si=on:rtra=on_0 on theBenchmark for (2999ds/3Mi)
% 0.20/0.43 % (26489)lrs+10_1:1_cnfonf=off:cs=on:hud=3:prag=on:sup=off:i=7:si=on:rtra=on_0 on theBenchmark for (2999ds/7Mi)
% 0.20/0.43 % (26487)Instruction limit reached!
% 0.20/0.43 % (26487)------------------------------
% 0.20/0.43 % (26487)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200)
% 0.20/0.43 % (26487)Termination reason: Unknown
% 0.20/0.43 % (26487)Termination phase: Preprocessing 3
% 0.20/0.43
% 0.20/0.43 % (26487)Memory used [KB]: 1023
% 0.20/0.43 % (26487)Time elapsed: 0.004 s
% 0.20/0.43 % (26487)Instructions burned: 3 (million)
% 0.20/0.43 % (26487)------------------------------
% 0.20/0.43 % (26487)------------------------------
% 0.20/0.43 % (26457)Refutation found. Thanks to Tanya!
% 0.20/0.43 % SZS status Theorem for theBenchmark
% 0.20/0.43 % SZS output start Proof for theBenchmark
% See solution above
% 0.20/0.43 % (26457)------------------------------
% 0.20/0.43 % (26457)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200)
% 0.20/0.43 % (26457)Termination reason: Refutation
% 0.20/0.43
% 0.20/0.43 % (26457)Memory used [KB]: 6012
% 0.20/0.43 % (26457)Time elapsed: 0.061 s
% 0.20/0.43 % (26457)Instructions burned: 84 (million)
% 0.20/0.43 % (26457)------------------------------
% 0.20/0.43 % (26457)------------------------------
% 0.20/0.43 % (26448)Success in time 0.068 s
%------------------------------------------------------------------------------