TSTP Solution File: ITP011_3 by Vampire---4.8
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Vampire---4.8
% Problem : ITP011_3 : TPTP v8.2.0. Bugfixed v7.5.0.
% 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 : n017.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 May 20 22:30:40 EDT 2024
% Result : Theorem 1.71s 1.00s
% Output : Refutation 1.71s
% Verified :
% SZS Type : Refutation
% Derivation depth : 20
% Number of leaves : 63
% Syntax : Number of formulae : 166 ( 16 unt; 48 typ; 0 def)
% Number of atoms : 494 ( 285 equ)
% Maximal formula atoms : 33 ( 4 avg)
% Number of connectives : 536 ( 160 ~; 203 |; 138 &)
% ( 25 <=>; 10 =>; 0 <=; 0 <~>)
% Maximal formula depth : 30 ( 6 avg)
% Maximal term depth : 7 ( 2 avg)
% Number of types : 3 ( 2 usr)
% Number of type conns : 38 ( 22 >; 16 *; 0 +; 0 <<)
% Number of predicates : 9 ( 7 usr; 7 prp; 0-2 aty)
% Number of functors : 45 ( 45 usr; 9 con; 0-5 aty)
% Number of variables : 360 ( 297 !; 20 ?; 360 :)
% ( 43 !>; 0 ?*; 0 @-; 0 @+)
% Comments :
%------------------------------------------------------------------------------
tff(type_def_5,type,
tyop_2Emin_2Ebool: $tType ).
tff(type_def_6,type,
tyop_2Emin_2Efun: ( $tType * $tType ) > $tType ).
tff(type_def_7,type,
tyop_2Eoption_2Eoption: $tType > $tType ).
tff(type_def_8,type,
sK0: $tType ).
tff(func_def_0,type,
app_2E2:
!>[X0: $tType,X1: $tType] : ( ( tyop_2Emin_2Efun(X0,X1) * X0 ) > X1 ) ).
tff(func_def_1,type,
combin_i_2E0:
!>[X0: $tType] : tyop_2Emin_2Efun(X0,X0) ).
tff(func_def_2,type,
combin_k_2E0:
!>[X0: $tType,X1: $tType] : tyop_2Emin_2Efun(X0,tyop_2Emin_2Efun(X1,X0)) ).
tff(func_def_3,type,
combin_s_2E0:
!>[X0: $tType,X1: $tType,X2: $tType] : tyop_2Emin_2Efun(tyop_2Emin_2Efun(X0,tyop_2Emin_2Efun(X1,X2)),tyop_2Emin_2Efun(tyop_2Emin_2Efun(X0,X1),tyop_2Emin_2Efun(X0,X2))) ).
tff(func_def_4,type,
c_2Ebool_2E_21_2E0:
!>[X0: $tType] : tyop_2Emin_2Efun(tyop_2Emin_2Efun(X0,tyop_2Emin_2Ebool),tyop_2Emin_2Ebool) ).
tff(func_def_5,type,
c_2Ebool_2E_21_2E1:
!>[X0: $tType] : ( tyop_2Emin_2Efun(X0,tyop_2Emin_2Ebool) > tyop_2Emin_2Ebool ) ).
tff(func_def_6,type,
c_2Ebool_2E_2F_5C_2E0: tyop_2Emin_2Efun(tyop_2Emin_2Ebool,tyop_2Emin_2Efun(tyop_2Emin_2Ebool,tyop_2Emin_2Ebool)) ).
tff(func_def_7,type,
c_2Ebool_2E_2F_5C_2E2: ( tyop_2Emin_2Ebool * tyop_2Emin_2Ebool ) > tyop_2Emin_2Ebool ).
tff(func_def_8,type,
c_2Emin_2E_3D_2E0:
!>[X0: $tType] : tyop_2Emin_2Efun(X0,tyop_2Emin_2Efun(X0,tyop_2Emin_2Ebool)) ).
tff(func_def_9,type,
c_2Emin_2E_3D_2E2:
!>[X0: $tType] : ( ( X0 * X0 ) > tyop_2Emin_2Ebool ) ).
tff(func_def_10,type,
c_2Emin_2E_3D_3D_3E_2E0: tyop_2Emin_2Efun(tyop_2Emin_2Ebool,tyop_2Emin_2Efun(tyop_2Emin_2Ebool,tyop_2Emin_2Ebool)) ).
tff(func_def_11,type,
c_2Emin_2E_3D_3D_3E_2E2: ( tyop_2Emin_2Ebool * tyop_2Emin_2Ebool ) > tyop_2Emin_2Ebool ).
tff(func_def_12,type,
c_2Ebool_2E_3F_2E0:
!>[X0: $tType] : tyop_2Emin_2Efun(tyop_2Emin_2Efun(X0,tyop_2Emin_2Ebool),tyop_2Emin_2Ebool) ).
tff(func_def_13,type,
c_2Ebool_2E_3F_2E1:
!>[X0: $tType] : ( tyop_2Emin_2Efun(X0,tyop_2Emin_2Ebool) > tyop_2Emin_2Ebool ) ).
tff(func_def_14,type,
c_2Ebool_2EF_2E0: tyop_2Emin_2Ebool ).
tff(func_def_15,type,
c_2Eoption_2EIS__NONE_2E0:
!>[X0: $tType] : tyop_2Emin_2Efun(tyop_2Eoption_2Eoption(X0),tyop_2Emin_2Ebool) ).
tff(func_def_16,type,
c_2Eoption_2EIS__NONE_2E1:
!>[X0: $tType] : ( tyop_2Eoption_2Eoption(X0) > tyop_2Emin_2Ebool ) ).
tff(func_def_17,type,
c_2Eoption_2EIS__SOME_2E0:
!>[X0: $tType] : tyop_2Emin_2Efun(tyop_2Eoption_2Eoption(X0),tyop_2Emin_2Ebool) ).
tff(func_def_18,type,
c_2Eoption_2EIS__SOME_2E1:
!>[X0: $tType] : ( tyop_2Eoption_2Eoption(X0) > tyop_2Emin_2Ebool ) ).
tff(func_def_19,type,
c_2Eoption_2ENONE_2E0:
!>[X0: $tType] : tyop_2Eoption_2Eoption(X0) ).
tff(func_def_20,type,
c_2Eoption_2EOPTION__JOIN_2E0:
!>[X0: $tType] : tyop_2Emin_2Efun(tyop_2Eoption_2Eoption(tyop_2Eoption_2Eoption(X0)),tyop_2Eoption_2Eoption(X0)) ).
tff(func_def_21,type,
c_2Eoption_2EOPTION__JOIN_2E1:
!>[X0: $tType] : ( tyop_2Eoption_2Eoption(tyop_2Eoption_2Eoption(X0)) > tyop_2Eoption_2Eoption(X0) ) ).
tff(func_def_22,type,
c_2Eoption_2EOPTION__MAP_2E0:
!>[X0: $tType,X1: $tType] : tyop_2Emin_2Efun(tyop_2Emin_2Efun(X0,X1),tyop_2Emin_2Efun(tyop_2Eoption_2Eoption(X0),tyop_2Eoption_2Eoption(X1))) ).
tff(func_def_23,type,
c_2Eoption_2EOPTION__MAP_2E2:
!>[X0: $tType,X1: $tType] : ( ( tyop_2Emin_2Efun(X0,X1) * tyop_2Eoption_2Eoption(X0) ) > tyop_2Eoption_2Eoption(X1) ) ).
tff(func_def_24,type,
c_2Eoption_2EOPTREL_2E0:
!>[X0: $tType,X1: $tType] : tyop_2Emin_2Efun(tyop_2Emin_2Efun(X0,tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool)),tyop_2Emin_2Efun(tyop_2Eoption_2Eoption(X0),tyop_2Emin_2Efun(tyop_2Eoption_2Eoption(X1),tyop_2Emin_2Ebool))) ).
tff(func_def_25,type,
c_2Eoption_2EOPTREL_2E3:
!>[X0: $tType,X1: $tType] : ( ( tyop_2Emin_2Efun(X0,tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool)) * tyop_2Eoption_2Eoption(X0) * tyop_2Eoption_2Eoption(X1) ) > tyop_2Emin_2Ebool ) ).
tff(func_def_26,type,
c_2Eoption_2ESOME_2E0:
!>[X0: $tType] : tyop_2Emin_2Efun(X0,tyop_2Eoption_2Eoption(X0)) ).
tff(func_def_27,type,
c_2Eoption_2ESOME_2E1:
!>[X0: $tType] : ( X0 > tyop_2Eoption_2Eoption(X0) ) ).
tff(func_def_28,type,
c_2Ebool_2ET_2E0: tyop_2Emin_2Ebool ).
tff(func_def_29,type,
c_2Eoption_2ETHE_2E0:
!>[X0: $tType] : tyop_2Emin_2Efun(tyop_2Eoption_2Eoption(X0),X0) ).
tff(func_def_30,type,
c_2Eoption_2ETHE_2E1:
!>[X0: $tType] : ( tyop_2Eoption_2Eoption(X0) > X0 ) ).
tff(func_def_31,type,
c_2Ebool_2E_5C_2F_2E0: tyop_2Emin_2Efun(tyop_2Emin_2Ebool,tyop_2Emin_2Efun(tyop_2Emin_2Ebool,tyop_2Emin_2Ebool)) ).
tff(func_def_32,type,
c_2Ebool_2E_5C_2F_2E2: ( tyop_2Emin_2Ebool * tyop_2Emin_2Ebool ) > tyop_2Emin_2Ebool ).
tff(func_def_33,type,
c_2Eoption_2Eoption__CASE_2E0:
!>[X0: $tType,X1: $tType] : tyop_2Emin_2Efun(tyop_2Eoption_2Eoption(X0),tyop_2Emin_2Efun(X1,tyop_2Emin_2Efun(tyop_2Emin_2Efun(X0,X1),X1))) ).
tff(func_def_34,type,
c_2Eoption_2Eoption__CASE_2E3:
!>[X0: $tType,X1: $tType] : ( ( tyop_2Eoption_2Eoption(X0) * X1 * tyop_2Emin_2Efun(X0,X1) ) > X1 ) ).
tff(func_def_35,type,
c_2Ebool_2E_7E_2E0: tyop_2Emin_2Efun(tyop_2Emin_2Ebool,tyop_2Emin_2Ebool) ).
tff(func_def_36,type,
c_2Ebool_2E_7E_2E1: tyop_2Emin_2Ebool > tyop_2Emin_2Ebool ).
tff(func_def_37,type,
sK1: sK0 ).
tff(func_def_38,type,
sK2: sK0 ).
tff(func_def_39,type,
sK3: tyop_2Emin_2Efun(sK0,tyop_2Emin_2Efun(sK0,tyop_2Emin_2Ebool)) ).
tff(func_def_40,type,
sK4:
!>[X0: $tType,X1: $tType] : ( ( tyop_2Emin_2Efun(X0,X1) * tyop_2Emin_2Efun(X0,X1) ) > X0 ) ).
tff(func_def_41,type,
sK5:
!>[X0: $tType,X1: $tType] : ( ( tyop_2Emin_2Efun(X0,tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool)) * tyop_2Eoption_2Eoption(X0) * tyop_2Eoption_2Eoption(X1) ) > X0 ) ).
tff(func_def_42,type,
sK6:
!>[X0: $tType,X1: $tType] : ( ( tyop_2Emin_2Efun(X0,tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool)) * tyop_2Eoption_2Eoption(X0) * tyop_2Eoption_2Eoption(X1) ) > X1 ) ).
tff(pred_def_1,type,
p: tyop_2Emin_2Ebool > $o ).
tff(f979,plain,
$false,
inference(avatar_sat_refutation,[],[f269,f276,f456,f482,f505,f541,f977]) ).
tff(f977,plain,
( spl7_4
| spl7_8 ),
inference(avatar_contradiction_clause,[],[f976]) ).
tff(f976,plain,
( $false
| spl7_4
| spl7_8 ),
inference(trivial_inequality_removal,[],[f975]) ).
tff(f975,plain,
( ( app_2E2(tyop_2Emin_2Ebool,tyop_2Eoption_2Eoption(tyop_2Emin_2Ebool),c_2Eoption_2ESOME_2E0(tyop_2Emin_2Ebool),c_2Ebool_2ET_2E0) != app_2E2(tyop_2Emin_2Ebool,tyop_2Eoption_2Eoption(tyop_2Emin_2Ebool),c_2Eoption_2ESOME_2E0(tyop_2Emin_2Ebool),c_2Ebool_2ET_2E0) )
| spl7_4
| spl7_8 ),
inference(forward_demodulation,[],[f556,f884]) ).
tff(f884,plain,
( ( c_2Ebool_2ET_2E0 = c_2Ebool_2EF_2E0 )
| spl7_4
| spl7_8 ),
inference(forward_demodulation,[],[f883,f547]) ).
tff(f547,plain,
( ( c_2Ebool_2EF_2E0 = app_2E2(sK0,tyop_2Emin_2Ebool,app_2E2(sK0,tyop_2Emin_2Efun(sK0,tyop_2Emin_2Ebool),sK3,sK2),sK1) )
| spl7_8 ),
inference(unit_resulting_resolution,[],[f245,f504,f283]) ).
tff(f283,plain,
! [X0: tyop_2Emin_2Ebool,X1: tyop_2Emin_2Ebool] :
( ~ p(X0)
| ( c_2Ebool_2EF_2E0 = X1 )
| ( X0 = X1 ) ),
inference(superposition,[],[f118,f107]) ).
tff(f107,plain,
! [X0: tyop_2Emin_2Ebool] :
( ( c_2Ebool_2ET_2E0 = X0 )
| ~ p(X0) ),
inference(cnf_transformation,[],[f84]) ).
tff(f84,plain,
! [X0: tyop_2Emin_2Ebool] :
( ( ( c_2Ebool_2EF_2E0 = X0 )
| p(X0) )
& ( ~ p(X0)
| ( c_2Ebool_2EF_2E0 != X0 ) )
& ( ( c_2Ebool_2EF_2E0 = X0 )
| p(X0) )
& ( ~ p(X0)
| ( c_2Ebool_2EF_2E0 != X0 ) )
& ( ( c_2Ebool_2ET_2E0 = X0 )
| ~ p(X0) )
& ( p(X0)
| ( c_2Ebool_2ET_2E0 != X0 ) )
& ( ( c_2Ebool_2ET_2E0 = X0 )
| ~ p(X0) )
& ( p(X0)
| ( c_2Ebool_2ET_2E0 != X0 ) ) ),
inference(flattening,[],[f83]) ).
tff(f83,plain,
! [X0: tyop_2Emin_2Ebool] :
( ( ( c_2Ebool_2EF_2E0 = X0 )
| p(X0) )
& ( ~ p(X0)
| ( c_2Ebool_2EF_2E0 != X0 ) )
& ( ( c_2Ebool_2EF_2E0 = X0 )
| p(X0) )
& ( ~ p(X0)
| ( c_2Ebool_2EF_2E0 != X0 ) )
& ( ( c_2Ebool_2ET_2E0 = X0 )
| ~ p(X0) )
& ( p(X0)
| ( c_2Ebool_2ET_2E0 != X0 ) )
& ( ( c_2Ebool_2ET_2E0 = X0 )
| ~ p(X0) )
& ( p(X0)
| ( c_2Ebool_2ET_2E0 != X0 ) ) ),
inference(nnf_transformation,[],[f49]) ).
tff(f49,plain,
! [X0: tyop_2Emin_2Ebool] :
( ( ( c_2Ebool_2EF_2E0 = X0 )
<=> ~ p(X0) )
& ( ( c_2Ebool_2EF_2E0 = X0 )
<=> ~ p(X0) )
& ( ( c_2Ebool_2ET_2E0 = X0 )
<=> p(X0) )
& ( ( c_2Ebool_2ET_2E0 = X0 )
<=> p(X0) ) ),
inference(rectify,[],[f43]) ).
tff(f43,axiom,
! [X8: tyop_2Emin_2Ebool] :
( ( ( c_2Ebool_2EF_2E0 = X8 )
<=> ~ p(X8) )
& ( ( c_2Ebool_2EF_2E0 = X8 )
<=> ~ p(X8) )
& ( ( c_2Ebool_2ET_2E0 = X8 )
<=> p(X8) )
& ( ( c_2Ebool_2ET_2E0 = X8 )
<=> p(X8) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',thm_2Ebool_2EEQ__CLAUSES) ).
tff(f118,plain,
! [X0: tyop_2Emin_2Ebool] :
( ( c_2Ebool_2ET_2E0 = X0 )
| ( c_2Ebool_2EF_2E0 = X0 ) ),
inference(cnf_transformation,[],[f52]) ).
tff(f52,plain,
! [X0: tyop_2Emin_2Ebool] :
( ( c_2Ebool_2EF_2E0 = X0 )
| ( c_2Ebool_2ET_2E0 = X0 ) ),
inference(rectify,[],[f5]) ).
tff(f5,axiom,
! [X8: tyop_2Emin_2Ebool] :
( ( c_2Ebool_2EF_2E0 = X8 )
| ( c_2Ebool_2ET_2E0 = X8 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',thm_2Eextra_2Dho_2Ebool__cases__ax) ).
tff(f504,plain,
( ( c_2Ebool_2ET_2E0 != app_2E2(sK0,tyop_2Emin_2Ebool,app_2E2(sK0,tyop_2Emin_2Efun(sK0,tyop_2Emin_2Ebool),sK3,sK2),sK1) )
| spl7_8 ),
inference(avatar_component_clause,[],[f503]) ).
tff(f503,plain,
( spl7_8
<=> ( c_2Ebool_2ET_2E0 = app_2E2(sK0,tyop_2Emin_2Ebool,app_2E2(sK0,tyop_2Emin_2Efun(sK0,tyop_2Emin_2Ebool),sK3,sK2),sK1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl7_8])]) ).
tff(f245,plain,
p(c_2Ebool_2ET_2E0),
inference(equality_resolution,[],[f106]) ).
tff(f106,plain,
! [X0: tyop_2Emin_2Ebool] :
( p(X0)
| ( c_2Ebool_2ET_2E0 != X0 ) ),
inference(cnf_transformation,[],[f84]) ).
tff(f883,plain,
( ( c_2Ebool_2ET_2E0 = app_2E2(sK0,tyop_2Emin_2Ebool,app_2E2(sK0,tyop_2Emin_2Efun(sK0,tyop_2Emin_2Ebool),sK3,sK2),sK1) )
| spl7_4
| spl7_8 ),
inference(backward_demodulation,[],[f765,f866]) ).
tff(f866,plain,
( ( sK1 = sK6(sK0,sK0,sK3,app_2E2(sK0,tyop_2Eoption_2Eoption(sK0),c_2Eoption_2ESOME_2E0(sK0),sK2),app_2E2(sK0,tyop_2Eoption_2Eoption(sK0),c_2Eoption_2ESOME_2E0(sK0),sK1)) )
| spl7_4
| spl7_8 ),
inference(unit_resulting_resolution,[],[f589,f238]) ).
tff(f238,plain,
! [X0: $tType,X26: X0,X27: X0] :
( ( app_2E2(X0,tyop_2Eoption_2Eoption(X0),c_2Eoption_2ESOME_2E0(X0),X26) != app_2E2(X0,tyop_2Eoption_2Eoption(X0),c_2Eoption_2ESOME_2E0(X0),X27) )
| ( X26 = X27 ) ),
inference(definition_unfolding,[],[f130,f194,f194]) ).
tff(f194,plain,
! [X0: $tType,X1: X0] : ( c_2Eoption_2ESOME_2E1(X0,X1) = app_2E2(X0,tyop_2Eoption_2Eoption(X0),c_2Eoption_2ESOME_2E0(X0),X1) ),
inference(cnf_transformation,[],[f64]) ).
tff(f64,plain,
! [X0: $tType,X1: X0] : ( c_2Eoption_2ESOME_2E1(X0,X1) = app_2E2(X0,tyop_2Eoption_2Eoption(X0),c_2Eoption_2ESOME_2E0(X0),X1) ),
inference(rectify,[],[f28]) ).
tff(f28,axiom,
! [X1: $tType,X12: X1] : ( c_2Eoption_2ESOME_2E1(X1,X12) = app_2E2(X1,tyop_2Eoption_2Eoption(X1),c_2Eoption_2ESOME_2E0(X1),X12) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',arityeq1_2Ec_2Eoption_2ESOME_2E1_2Emono_2EA_27b) ).
tff(f130,plain,
! [X0: $tType,X26: X0,X27: X0] :
( ( X26 = X27 )
| ( c_2Eoption_2ESOME_2E1(X0,X26) != c_2Eoption_2ESOME_2E1(X0,X27) ) ),
inference(cnf_transformation,[],[f94]) ).
tff(f94,plain,
! [X0: $tType,X1: $tType,X2: tyop_2Emin_2Efun(X0,X1),X3: tyop_2Eoption_2Eoption(X0),X4: X1] :
( ! [X5: tyop_2Eoption_2Eoption(X0)] : ( c_2Eoption_2EOPTION__JOIN_2E1(X0,c_2Eoption_2ESOME_2E1(tyop_2Eoption_2Eoption(X0),X5)) = X5 )
& ( c_2Eoption_2ENONE_2E0(X0) = c_2Eoption_2EOPTION__JOIN_2E1(X0,c_2Eoption_2ENONE_2E0(tyop_2Eoption_2Eoption(X0))) )
& ! [X6: tyop_2Emin_2Efun(X0,X1)] : ( c_2Eoption_2ENONE_2E0(X1) = c_2Eoption_2EOPTION__MAP_2E2(X0,X1,X6,c_2Eoption_2ENONE_2E0(X0)) )
& ! [X7: tyop_2Emin_2Efun(X0,X1),X8: X0] : ( c_2Eoption_2EOPTION__MAP_2E2(X0,X1,X7,c_2Eoption_2ESOME_2E1(X0,X8)) = c_2Eoption_2ESOME_2E1(X1,app_2E2(X0,X1,X7,X8)) )
& ! [X9: X0,X10: X1,X11: tyop_2Emin_2Efun(X0,X1)] : ( c_2Eoption_2Eoption__CASE_2E3(X0,X1,c_2Eoption_2ESOME_2E1(X0,X9),X10,X11) = app_2E2(X0,X1,X11,X9) )
& ! [X12: X1,X13: tyop_2Emin_2Efun(X0,X1)] : ( c_2Eoption_2Eoption__CASE_2E3(X0,X1,c_2Eoption_2ENONE_2E0(X0),X12,X13) = X12 )
& ! [X14: tyop_2Eoption_2Eoption(X0)] :
( ( c_2Eoption_2Eoption__CASE_2E3(X0,tyop_2Eoption_2Eoption(X0),X14,X3,c_2Eoption_2ESOME_2E0(X0)) = X14 )
| ~ p(c_2Eoption_2EIS__SOME_2E1(X0,X14)) )
& ! [X15: tyop_2Eoption_2Eoption(X0)] :
( ( c_2Eoption_2Eoption__CASE_2E3(X0,X1,X15,X4,X2) = app_2E2(X0,X1,X2,c_2Eoption_2ETHE_2E1(X0,X15)) )
| ~ p(c_2Eoption_2EIS__SOME_2E1(X0,X15)) )
& ! [X16: tyop_2Eoption_2Eoption(X0)] :
( ( c_2Eoption_2Eoption__CASE_2E3(X0,X1,X16,X4,X2) = X4 )
| ~ p(c_2Eoption_2EIS__NONE_2E1(X0,X16)) )
& ! [X17: tyop_2Eoption_2Eoption(X0)] : ( c_2Eoption_2Eoption__CASE_2E3(X0,tyop_2Eoption_2Eoption(X0),X17,X17,c_2Eoption_2ESOME_2E0(X0)) = X17 )
& ! [X18: tyop_2Eoption_2Eoption(X0)] : ( c_2Eoption_2Eoption__CASE_2E3(X0,tyop_2Eoption_2Eoption(X0),X18,c_2Eoption_2ENONE_2E0(X0),c_2Eoption_2ESOME_2E0(X0)) = X18 )
& ! [X19: tyop_2Eoption_2Eoption(X0)] :
( ( c_2Eoption_2ESOME_2E1(X0,c_2Eoption_2ETHE_2E1(X0,X19)) = X19 )
| ~ p(c_2Eoption_2EIS__SOME_2E1(X0,X19)) )
& ! [X20: tyop_2Eoption_2Eoption(X0)] :
( ( ~ p(c_2Eoption_2EIS__SOME_2E1(X0,X20))
| ( c_2Eoption_2ENONE_2E0(X0) != X20 ) )
& ( ( c_2Eoption_2ENONE_2E0(X0) = X20 )
| p(c_2Eoption_2EIS__SOME_2E1(X0,X20)) ) )
& ! [X21: tyop_2Eoption_2Eoption(X0)] :
( ( p(c_2Eoption_2EIS__NONE_2E1(X0,X21))
| ( c_2Eoption_2ENONE_2E0(X0) != X21 ) )
& ( ( c_2Eoption_2ENONE_2E0(X0) = X21 )
| ~ p(c_2Eoption_2EIS__NONE_2E1(X0,X21)) ) )
& ( c_2Ebool_2EF_2E0 = c_2Eoption_2EIS__SOME_2E1(X0,c_2Eoption_2ENONE_2E0(X0)) )
& ! [X22: X0] : ( c_2Ebool_2ET_2E0 = c_2Eoption_2EIS__SOME_2E1(X0,c_2Eoption_2ESOME_2E1(X0,X22)) )
& ! [X23: X0] : ( c_2Eoption_2ENONE_2E0(X0) != c_2Eoption_2ESOME_2E1(X0,X23) )
& ! [X24: X0] : ( c_2Eoption_2ENONE_2E0(X0) != c_2Eoption_2ESOME_2E1(X0,X24) )
& ! [X25: X0] : ( c_2Eoption_2ETHE_2E1(X0,c_2Eoption_2ESOME_2E1(X0,X25)) = X25 )
& ! [X26: X0,X27: X0] :
( ( ( c_2Eoption_2ESOME_2E1(X0,X26) = c_2Eoption_2ESOME_2E1(X0,X27) )
| ( X26 != X27 ) )
& ( ( X26 = X27 )
| ( c_2Eoption_2ESOME_2E1(X0,X26) != c_2Eoption_2ESOME_2E1(X0,X27) ) ) ) ),
inference(nnf_transformation,[],[f79]) ).
tff(f79,plain,
! [X0: $tType,X1: $tType,X2: tyop_2Emin_2Efun(X0,X1),X3: tyop_2Eoption_2Eoption(X0),X4: X1] :
( ! [X5: tyop_2Eoption_2Eoption(X0)] : ( c_2Eoption_2EOPTION__JOIN_2E1(X0,c_2Eoption_2ESOME_2E1(tyop_2Eoption_2Eoption(X0),X5)) = X5 )
& ( c_2Eoption_2ENONE_2E0(X0) = c_2Eoption_2EOPTION__JOIN_2E1(X0,c_2Eoption_2ENONE_2E0(tyop_2Eoption_2Eoption(X0))) )
& ! [X6: tyop_2Emin_2Efun(X0,X1)] : ( c_2Eoption_2ENONE_2E0(X1) = c_2Eoption_2EOPTION__MAP_2E2(X0,X1,X6,c_2Eoption_2ENONE_2E0(X0)) )
& ! [X7: tyop_2Emin_2Efun(X0,X1),X8: X0] : ( c_2Eoption_2EOPTION__MAP_2E2(X0,X1,X7,c_2Eoption_2ESOME_2E1(X0,X8)) = c_2Eoption_2ESOME_2E1(X1,app_2E2(X0,X1,X7,X8)) )
& ! [X9: X0,X10: X1,X11: tyop_2Emin_2Efun(X0,X1)] : ( c_2Eoption_2Eoption__CASE_2E3(X0,X1,c_2Eoption_2ESOME_2E1(X0,X9),X10,X11) = app_2E2(X0,X1,X11,X9) )
& ! [X12: X1,X13: tyop_2Emin_2Efun(X0,X1)] : ( c_2Eoption_2Eoption__CASE_2E3(X0,X1,c_2Eoption_2ENONE_2E0(X0),X12,X13) = X12 )
& ! [X14: tyop_2Eoption_2Eoption(X0)] :
( ( c_2Eoption_2Eoption__CASE_2E3(X0,tyop_2Eoption_2Eoption(X0),X14,X3,c_2Eoption_2ESOME_2E0(X0)) = X14 )
| ~ p(c_2Eoption_2EIS__SOME_2E1(X0,X14)) )
& ! [X15: tyop_2Eoption_2Eoption(X0)] :
( ( c_2Eoption_2Eoption__CASE_2E3(X0,X1,X15,X4,X2) = app_2E2(X0,X1,X2,c_2Eoption_2ETHE_2E1(X0,X15)) )
| ~ p(c_2Eoption_2EIS__SOME_2E1(X0,X15)) )
& ! [X16: tyop_2Eoption_2Eoption(X0)] :
( ( c_2Eoption_2Eoption__CASE_2E3(X0,X1,X16,X4,X2) = X4 )
| ~ p(c_2Eoption_2EIS__NONE_2E1(X0,X16)) )
& ! [X17: tyop_2Eoption_2Eoption(X0)] : ( c_2Eoption_2Eoption__CASE_2E3(X0,tyop_2Eoption_2Eoption(X0),X17,X17,c_2Eoption_2ESOME_2E0(X0)) = X17 )
& ! [X18: tyop_2Eoption_2Eoption(X0)] : ( c_2Eoption_2Eoption__CASE_2E3(X0,tyop_2Eoption_2Eoption(X0),X18,c_2Eoption_2ENONE_2E0(X0),c_2Eoption_2ESOME_2E0(X0)) = X18 )
& ! [X19: tyop_2Eoption_2Eoption(X0)] :
( ( c_2Eoption_2ESOME_2E1(X0,c_2Eoption_2ETHE_2E1(X0,X19)) = X19 )
| ~ p(c_2Eoption_2EIS__SOME_2E1(X0,X19)) )
& ! [X20: tyop_2Eoption_2Eoption(X0)] :
( ~ p(c_2Eoption_2EIS__SOME_2E1(X0,X20))
<=> ( c_2Eoption_2ENONE_2E0(X0) = X20 ) )
& ! [X21: tyop_2Eoption_2Eoption(X0)] :
( p(c_2Eoption_2EIS__NONE_2E1(X0,X21))
<=> ( c_2Eoption_2ENONE_2E0(X0) = X21 ) )
& ( c_2Ebool_2EF_2E0 = c_2Eoption_2EIS__SOME_2E1(X0,c_2Eoption_2ENONE_2E0(X0)) )
& ! [X22: X0] : ( c_2Ebool_2ET_2E0 = c_2Eoption_2EIS__SOME_2E1(X0,c_2Eoption_2ESOME_2E1(X0,X22)) )
& ! [X23: X0] : ( c_2Eoption_2ENONE_2E0(X0) != c_2Eoption_2ESOME_2E1(X0,X23) )
& ! [X24: X0] : ( c_2Eoption_2ENONE_2E0(X0) != c_2Eoption_2ESOME_2E1(X0,X24) )
& ! [X25: X0] : ( c_2Eoption_2ETHE_2E1(X0,c_2Eoption_2ESOME_2E1(X0,X25)) = X25 )
& ! [X26: X0,X27: X0] :
( ( c_2Eoption_2ESOME_2E1(X0,X26) = c_2Eoption_2ESOME_2E1(X0,X27) )
<=> ( X26 = X27 ) ) ),
inference(ennf_transformation,[],[f56]) ).
tff(f56,plain,
! [X0: $tType,X1: $tType,X2: tyop_2Emin_2Efun(X0,X1),X3: tyop_2Eoption_2Eoption(X0),X4: X1] :
( ! [X5: tyop_2Eoption_2Eoption(X0)] : ( c_2Eoption_2EOPTION__JOIN_2E1(X0,c_2Eoption_2ESOME_2E1(tyop_2Eoption_2Eoption(X0),X5)) = X5 )
& ( c_2Eoption_2ENONE_2E0(X0) = c_2Eoption_2EOPTION__JOIN_2E1(X0,c_2Eoption_2ENONE_2E0(tyop_2Eoption_2Eoption(X0))) )
& ! [X6: tyop_2Emin_2Efun(X0,X1)] : ( c_2Eoption_2ENONE_2E0(X1) = c_2Eoption_2EOPTION__MAP_2E2(X0,X1,X6,c_2Eoption_2ENONE_2E0(X0)) )
& ! [X7: tyop_2Emin_2Efun(X0,X1),X8: X0] : ( c_2Eoption_2EOPTION__MAP_2E2(X0,X1,X7,c_2Eoption_2ESOME_2E1(X0,X8)) = c_2Eoption_2ESOME_2E1(X1,app_2E2(X0,X1,X7,X8)) )
& ! [X9: X0,X10: X1,X11: tyop_2Emin_2Efun(X0,X1)] : ( c_2Eoption_2Eoption__CASE_2E3(X0,X1,c_2Eoption_2ESOME_2E1(X0,X9),X10,X11) = app_2E2(X0,X1,X11,X9) )
& ! [X12: X1,X13: tyop_2Emin_2Efun(X0,X1)] : ( c_2Eoption_2Eoption__CASE_2E3(X0,X1,c_2Eoption_2ENONE_2E0(X0),X12,X13) = X12 )
& ! [X14: tyop_2Eoption_2Eoption(X0)] :
( p(c_2Eoption_2EIS__SOME_2E1(X0,X14))
=> ( c_2Eoption_2Eoption__CASE_2E3(X0,tyop_2Eoption_2Eoption(X0),X14,X3,c_2Eoption_2ESOME_2E0(X0)) = X14 ) )
& ! [X15: tyop_2Eoption_2Eoption(X0)] :
( p(c_2Eoption_2EIS__SOME_2E1(X0,X15))
=> ( c_2Eoption_2Eoption__CASE_2E3(X0,X1,X15,X4,X2) = app_2E2(X0,X1,X2,c_2Eoption_2ETHE_2E1(X0,X15)) ) )
& ! [X16: tyop_2Eoption_2Eoption(X0)] :
( p(c_2Eoption_2EIS__NONE_2E1(X0,X16))
=> ( c_2Eoption_2Eoption__CASE_2E3(X0,X1,X16,X4,X2) = X4 ) )
& ! [X17: tyop_2Eoption_2Eoption(X0)] : ( c_2Eoption_2Eoption__CASE_2E3(X0,tyop_2Eoption_2Eoption(X0),X17,X17,c_2Eoption_2ESOME_2E0(X0)) = X17 )
& ! [X18: tyop_2Eoption_2Eoption(X0)] : ( c_2Eoption_2Eoption__CASE_2E3(X0,tyop_2Eoption_2Eoption(X0),X18,c_2Eoption_2ENONE_2E0(X0),c_2Eoption_2ESOME_2E0(X0)) = X18 )
& ! [X19: tyop_2Eoption_2Eoption(X0)] :
( p(c_2Eoption_2EIS__SOME_2E1(X0,X19))
=> ( c_2Eoption_2ESOME_2E1(X0,c_2Eoption_2ETHE_2E1(X0,X19)) = X19 ) )
& ! [X20: tyop_2Eoption_2Eoption(X0)] :
( ~ p(c_2Eoption_2EIS__SOME_2E1(X0,X20))
<=> ( c_2Eoption_2ENONE_2E0(X0) = X20 ) )
& ! [X21: tyop_2Eoption_2Eoption(X0)] :
( p(c_2Eoption_2EIS__NONE_2E1(X0,X21))
<=> ( c_2Eoption_2ENONE_2E0(X0) = X21 ) )
& ( c_2Ebool_2EF_2E0 = c_2Eoption_2EIS__SOME_2E1(X0,c_2Eoption_2ENONE_2E0(X0)) )
& ! [X22: X0] : ( c_2Ebool_2ET_2E0 = c_2Eoption_2EIS__SOME_2E1(X0,c_2Eoption_2ESOME_2E1(X0,X22)) )
& ! [X23: X0] : ( c_2Eoption_2ENONE_2E0(X0) != c_2Eoption_2ESOME_2E1(X0,X23) )
& ! [X24: X0] : ( c_2Eoption_2ENONE_2E0(X0) != c_2Eoption_2ESOME_2E1(X0,X24) )
& ! [X25: X0] : ( c_2Eoption_2ETHE_2E1(X0,c_2Eoption_2ESOME_2E1(X0,X25)) = X25 )
& ! [X26: X0,X27: X0] :
( ( c_2Eoption_2ESOME_2E1(X0,X26) = c_2Eoption_2ESOME_2E1(X0,X27) )
<=> ( X26 = X27 ) ) ),
inference(rectify,[],[f44]) ).
tff(f44,axiom,
! [X0: $tType,X1: $tType,X3: tyop_2Emin_2Efun(X0,X1),X17: tyop_2Eoption_2Eoption(X0),X18: X1] :
( ! [X41: tyop_2Eoption_2Eoption(X0)] : ( c_2Eoption_2EOPTION__JOIN_2E1(X0,c_2Eoption_2ESOME_2E1(tyop_2Eoption_2Eoption(X0),X41)) = X41 )
& ( c_2Eoption_2ENONE_2E0(X0) = c_2Eoption_2EOPTION__JOIN_2E1(X0,c_2Eoption_2ENONE_2E0(tyop_2Eoption_2Eoption(X0))) )
& ! [X40: tyop_2Emin_2Efun(X0,X1)] : ( c_2Eoption_2EOPTION__MAP_2E2(X0,X1,X40,c_2Eoption_2ENONE_2E0(X0)) = c_2Eoption_2ENONE_2E0(X1) )
& ! [X38: tyop_2Emin_2Efun(X0,X1),X39: X0] : ( c_2Eoption_2EOPTION__MAP_2E2(X0,X1,X38,c_2Eoption_2ESOME_2E1(X0,X39)) = c_2Eoption_2ESOME_2E1(X1,app_2E2(X0,X1,X38,X39)) )
& ! [X35: X0,X36: X1,X37: tyop_2Emin_2Efun(X0,X1)] : ( c_2Eoption_2Eoption__CASE_2E3(X0,X1,c_2Eoption_2ESOME_2E1(X0,X35),X36,X37) = app_2E2(X0,X1,X37,X35) )
& ! [X33: X1,X34: tyop_2Emin_2Efun(X0,X1)] : ( c_2Eoption_2Eoption__CASE_2E3(X0,X1,c_2Eoption_2ENONE_2E0(X0),X33,X34) = X33 )
& ! [X32: tyop_2Eoption_2Eoption(X0)] :
( p(c_2Eoption_2EIS__SOME_2E1(X0,X32))
=> ( c_2Eoption_2Eoption__CASE_2E3(X0,tyop_2Eoption_2Eoption(X0),X32,X17,c_2Eoption_2ESOME_2E0(X0)) = X32 ) )
& ! [X31: tyop_2Eoption_2Eoption(X0)] :
( p(c_2Eoption_2EIS__SOME_2E1(X0,X31))
=> ( c_2Eoption_2Eoption__CASE_2E3(X0,X1,X31,X18,X3) = app_2E2(X0,X1,X3,c_2Eoption_2ETHE_2E1(X0,X31)) ) )
& ! [X30: tyop_2Eoption_2Eoption(X0)] :
( p(c_2Eoption_2EIS__NONE_2E1(X0,X30))
=> ( c_2Eoption_2Eoption__CASE_2E3(X0,X1,X30,X18,X3) = X18 ) )
& ! [X29: tyop_2Eoption_2Eoption(X0)] : ( c_2Eoption_2Eoption__CASE_2E3(X0,tyop_2Eoption_2Eoption(X0),X29,X29,c_2Eoption_2ESOME_2E0(X0)) = X29 )
& ! [X28: tyop_2Eoption_2Eoption(X0)] : ( c_2Eoption_2Eoption__CASE_2E3(X0,tyop_2Eoption_2Eoption(X0),X28,c_2Eoption_2ENONE_2E0(X0),c_2Eoption_2ESOME_2E0(X0)) = X28 )
& ! [X27: tyop_2Eoption_2Eoption(X0)] :
( p(c_2Eoption_2EIS__SOME_2E1(X0,X27))
=> ( c_2Eoption_2ESOME_2E1(X0,c_2Eoption_2ETHE_2E1(X0,X27)) = X27 ) )
& ! [X26: tyop_2Eoption_2Eoption(X0)] :
( ~ p(c_2Eoption_2EIS__SOME_2E1(X0,X26))
<=> ( c_2Eoption_2ENONE_2E0(X0) = X26 ) )
& ! [X25: tyop_2Eoption_2Eoption(X0)] :
( p(c_2Eoption_2EIS__NONE_2E1(X0,X25))
<=> ( c_2Eoption_2ENONE_2E0(X0) = X25 ) )
& ( c_2Ebool_2EF_2E0 = c_2Eoption_2EIS__SOME_2E1(X0,c_2Eoption_2ENONE_2E0(X0)) )
& ! [X24: X0] : ( c_2Ebool_2ET_2E0 = c_2Eoption_2EIS__SOME_2E1(X0,c_2Eoption_2ESOME_2E1(X0,X24)) )
& ! [X23: X0] : ( c_2Eoption_2ENONE_2E0(X0) != c_2Eoption_2ESOME_2E1(X0,X23) )
& ! [X22: X0] : ( c_2Eoption_2ENONE_2E0(X0) != c_2Eoption_2ESOME_2E1(X0,X22) )
& ! [X21: X0] : ( c_2Eoption_2ETHE_2E1(X0,c_2Eoption_2ESOME_2E1(X0,X21)) = X21 )
& ! [X19: X0,X20: X0] :
( ( c_2Eoption_2ESOME_2E1(X0,X19) = c_2Eoption_2ESOME_2E1(X0,X20) )
<=> ( X19 = X20 ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',thm_2Eoption_2Eoption__CLAUSES) ).
tff(f589,plain,
( ( app_2E2(sK0,tyop_2Eoption_2Eoption(sK0),c_2Eoption_2ESOME_2E0(sK0),sK1) = app_2E2(sK0,tyop_2Eoption_2Eoption(sK0),c_2Eoption_2ESOME_2E0(sK0),sK6(sK0,sK0,sK3,app_2E2(sK0,tyop_2Eoption_2Eoption(sK0),c_2Eoption_2ESOME_2E0(sK0),sK2),app_2E2(sK0,tyop_2Eoption_2Eoption(sK0),c_2Eoption_2ESOME_2E0(sK0),sK1))) )
| spl7_4
| spl7_8 ),
inference(subsumption_resolution,[],[f588,f234]) ).
tff(f234,plain,
! [X0: $tType,X23: X0] : ( c_2Eoption_2ENONE_2E0(X0) != app_2E2(X0,tyop_2Eoption_2Eoption(X0),c_2Eoption_2ESOME_2E0(X0),X23) ),
inference(definition_unfolding,[],[f134,f194]) ).
tff(f134,plain,
! [X0: $tType,X23: X0] : ( c_2Eoption_2ENONE_2E0(X0) != c_2Eoption_2ESOME_2E1(X0,X23) ),
inference(cnf_transformation,[],[f94]) ).
tff(f588,plain,
( ( c_2Eoption_2ENONE_2E0(sK0) = app_2E2(sK0,tyop_2Eoption_2Eoption(sK0),c_2Eoption_2ESOME_2E0(sK0),sK2) )
| ( app_2E2(sK0,tyop_2Eoption_2Eoption(sK0),c_2Eoption_2ESOME_2E0(sK0),sK1) = app_2E2(sK0,tyop_2Eoption_2Eoption(sK0),c_2Eoption_2ESOME_2E0(sK0),sK6(sK0,sK0,sK3,app_2E2(sK0,tyop_2Eoption_2Eoption(sK0),c_2Eoption_2ESOME_2E0(sK0),sK2),app_2E2(sK0,tyop_2Eoption_2Eoption(sK0),c_2Eoption_2ESOME_2E0(sK0),sK1))) )
| spl7_4
| spl7_8 ),
inference(subsumption_resolution,[],[f581,f245]) ).
tff(f581,plain,
( ~ p(c_2Ebool_2ET_2E0)
| ( c_2Eoption_2ENONE_2E0(sK0) = app_2E2(sK0,tyop_2Eoption_2Eoption(sK0),c_2Eoption_2ESOME_2E0(sK0),sK2) )
| ( app_2E2(sK0,tyop_2Eoption_2Eoption(sK0),c_2Eoption_2ESOME_2E0(sK0),sK1) = app_2E2(sK0,tyop_2Eoption_2Eoption(sK0),c_2Eoption_2ESOME_2E0(sK0),sK6(sK0,sK0,sK3,app_2E2(sK0,tyop_2Eoption_2Eoption(sK0),c_2Eoption_2ESOME_2E0(sK0),sK2),app_2E2(sK0,tyop_2Eoption_2Eoption(sK0),c_2Eoption_2ESOME_2E0(sK0),sK1))) )
| spl7_4
| spl7_8 ),
inference(superposition,[],[f213,f563]) ).
tff(f563,plain,
( ( c_2Ebool_2ET_2E0 = app_2E2(tyop_2Eoption_2Eoption(sK0),tyop_2Emin_2Ebool,app_2E2(tyop_2Eoption_2Eoption(sK0),tyop_2Emin_2Efun(tyop_2Eoption_2Eoption(sK0),tyop_2Emin_2Ebool),app_2E2(tyop_2Emin_2Efun(sK0,tyop_2Emin_2Efun(sK0,tyop_2Emin_2Ebool)),tyop_2Emin_2Efun(tyop_2Eoption_2Eoption(sK0),tyop_2Emin_2Efun(tyop_2Eoption_2Eoption(sK0),tyop_2Emin_2Ebool)),c_2Eoption_2EOPTREL_2E0(sK0,sK0),sK3),app_2E2(sK0,tyop_2Eoption_2Eoption(sK0),c_2Eoption_2ESOME_2E0(sK0),sK2)),app_2E2(sK0,tyop_2Eoption_2Eoption(sK0),c_2Eoption_2ESOME_2E0(sK0),sK1)) )
| spl7_4
| spl7_8 ),
inference(unit_resulting_resolution,[],[f559,f118]) ).
tff(f559,plain,
( ( c_2Ebool_2EF_2E0 != app_2E2(tyop_2Eoption_2Eoption(sK0),tyop_2Emin_2Ebool,app_2E2(tyop_2Eoption_2Eoption(sK0),tyop_2Emin_2Efun(tyop_2Eoption_2Eoption(sK0),tyop_2Emin_2Ebool),app_2E2(tyop_2Emin_2Efun(sK0,tyop_2Emin_2Efun(sK0,tyop_2Emin_2Ebool)),tyop_2Emin_2Efun(tyop_2Eoption_2Eoption(sK0),tyop_2Emin_2Efun(tyop_2Eoption_2Eoption(sK0),tyop_2Emin_2Ebool)),c_2Eoption_2EOPTREL_2E0(sK0,sK0),sK3),app_2E2(sK0,tyop_2Eoption_2Eoption(sK0),c_2Eoption_2ESOME_2E0(sK0),sK2)),app_2E2(sK0,tyop_2Eoption_2Eoption(sK0),c_2Eoption_2ESOME_2E0(sK0),sK1)) )
| spl7_4
| spl7_8 ),
inference(backward_demodulation,[],[f268,f547]) ).
tff(f268,plain,
( ( app_2E2(sK0,tyop_2Emin_2Ebool,app_2E2(sK0,tyop_2Emin_2Efun(sK0,tyop_2Emin_2Ebool),sK3,sK2),sK1) != app_2E2(tyop_2Eoption_2Eoption(sK0),tyop_2Emin_2Ebool,app_2E2(tyop_2Eoption_2Eoption(sK0),tyop_2Emin_2Efun(tyop_2Eoption_2Eoption(sK0),tyop_2Emin_2Ebool),app_2E2(tyop_2Emin_2Efun(sK0,tyop_2Emin_2Efun(sK0,tyop_2Emin_2Ebool)),tyop_2Emin_2Efun(tyop_2Eoption_2Eoption(sK0),tyop_2Emin_2Efun(tyop_2Eoption_2Eoption(sK0),tyop_2Emin_2Ebool)),c_2Eoption_2EOPTREL_2E0(sK0,sK0),sK3),app_2E2(sK0,tyop_2Eoption_2Eoption(sK0),c_2Eoption_2ESOME_2E0(sK0),sK2)),app_2E2(sK0,tyop_2Eoption_2Eoption(sK0),c_2Eoption_2ESOME_2E0(sK0),sK1)) )
| spl7_4 ),
inference(avatar_component_clause,[],[f267]) ).
tff(f267,plain,
( spl7_4
<=> ( app_2E2(sK0,tyop_2Emin_2Ebool,app_2E2(sK0,tyop_2Emin_2Efun(sK0,tyop_2Emin_2Ebool),sK3,sK2),sK1) = app_2E2(tyop_2Eoption_2Eoption(sK0),tyop_2Emin_2Ebool,app_2E2(tyop_2Eoption_2Eoption(sK0),tyop_2Emin_2Efun(tyop_2Eoption_2Eoption(sK0),tyop_2Emin_2Ebool),app_2E2(tyop_2Emin_2Efun(sK0,tyop_2Emin_2Efun(sK0,tyop_2Emin_2Ebool)),tyop_2Emin_2Efun(tyop_2Eoption_2Eoption(sK0),tyop_2Emin_2Efun(tyop_2Eoption_2Eoption(sK0),tyop_2Emin_2Ebool)),c_2Eoption_2EOPTREL_2E0(sK0,sK0),sK3),app_2E2(sK0,tyop_2Eoption_2Eoption(sK0),c_2Eoption_2ESOME_2E0(sK0),sK2)),app_2E2(sK0,tyop_2Eoption_2Eoption(sK0),c_2Eoption_2ESOME_2E0(sK0),sK1)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl7_4])]) ).
tff(f213,plain,
! [X1: $tType,X0: $tType,X2: tyop_2Emin_2Efun(X0,tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool)),X3: tyop_2Eoption_2Eoption(X0),X4: tyop_2Eoption_2Eoption(X1)] :
( ~ p(app_2E2(tyop_2Eoption_2Eoption(X1),tyop_2Emin_2Ebool,app_2E2(tyop_2Eoption_2Eoption(X0),tyop_2Emin_2Efun(tyop_2Eoption_2Eoption(X1),tyop_2Emin_2Ebool),app_2E2(tyop_2Emin_2Efun(X0,tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool)),tyop_2Emin_2Efun(tyop_2Eoption_2Eoption(X0),tyop_2Emin_2Efun(tyop_2Eoption_2Eoption(X1),tyop_2Emin_2Ebool)),c_2Eoption_2EOPTREL_2E0(X0,X1),X2),X3),X4))
| ( c_2Eoption_2ENONE_2E0(X0) = X3 )
| ( app_2E2(X1,tyop_2Eoption_2Eoption(X1),c_2Eoption_2ESOME_2E0(X1),sK6(X0,X1,X2,X3,X4)) = X4 ) ),
inference(definition_unfolding,[],[f124,f194,f191]) ).
tff(f191,plain,
! [X1: $tType,X0: $tType,X2: tyop_2Emin_2Efun(X0,tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool)),X3: tyop_2Eoption_2Eoption(X0),X4: tyop_2Eoption_2Eoption(X1)] : ( c_2Eoption_2EOPTREL_2E3(X0,X1,X2,X3,X4) = app_2E2(tyop_2Eoption_2Eoption(X1),tyop_2Emin_2Ebool,app_2E2(tyop_2Eoption_2Eoption(X0),tyop_2Emin_2Efun(tyop_2Eoption_2Eoption(X1),tyop_2Emin_2Ebool),app_2E2(tyop_2Emin_2Efun(X0,tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool)),tyop_2Emin_2Efun(tyop_2Eoption_2Eoption(X0),tyop_2Emin_2Efun(tyop_2Eoption_2Eoption(X1),tyop_2Emin_2Ebool)),c_2Eoption_2EOPTREL_2E0(X0,X1),X2),X3),X4) ),
inference(cnf_transformation,[],[f61]) ).
tff(f61,plain,
! [X0: $tType,X1: $tType,X2: tyop_2Emin_2Efun(X0,tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool)),X3: tyop_2Eoption_2Eoption(X0),X4: tyop_2Eoption_2Eoption(X1)] : ( c_2Eoption_2EOPTREL_2E3(X0,X1,X2,X3,X4) = app_2E2(tyop_2Eoption_2Eoption(X1),tyop_2Emin_2Ebool,app_2E2(tyop_2Eoption_2Eoption(X0),tyop_2Emin_2Efun(tyop_2Eoption_2Eoption(X1),tyop_2Emin_2Ebool),app_2E2(tyop_2Emin_2Efun(X0,tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool)),tyop_2Emin_2Efun(tyop_2Eoption_2Eoption(X0),tyop_2Emin_2Efun(tyop_2Eoption_2Eoption(X1),tyop_2Emin_2Ebool)),c_2Eoption_2EOPTREL_2E0(X0,X1),X2),X3),X4) ),
inference(rectify,[],[f26]) ).
tff(f26,axiom,
! [X0: $tType,X1: $tType,X12: tyop_2Emin_2Efun(X0,tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool)),X13: tyop_2Eoption_2Eoption(X0),X14: tyop_2Eoption_2Eoption(X1)] : ( c_2Eoption_2EOPTREL_2E3(X0,X1,X12,X13,X14) = app_2E2(tyop_2Eoption_2Eoption(X1),tyop_2Emin_2Ebool,app_2E2(tyop_2Eoption_2Eoption(X0),tyop_2Emin_2Efun(tyop_2Eoption_2Eoption(X1),tyop_2Emin_2Ebool),app_2E2(tyop_2Emin_2Efun(X0,tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool)),tyop_2Emin_2Efun(tyop_2Eoption_2Eoption(X0),tyop_2Emin_2Efun(tyop_2Eoption_2Eoption(X1),tyop_2Emin_2Ebool)),c_2Eoption_2EOPTREL_2E0(X0,X1),X12),X13),X14) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',arityeq3_2Ec_2Eoption_2EOPTREL_2E3_2Emono_2EA_27a_20mono_2EA_27b) ).
tff(f124,plain,
! [X1: $tType,X0: $tType,X2: tyop_2Emin_2Efun(X0,tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool)),X3: tyop_2Eoption_2Eoption(X0),X4: tyop_2Eoption_2Eoption(X1)] :
( ( c_2Eoption_2ESOME_2E1(X1,sK6(X0,X1,X2,X3,X4)) = X4 )
| ( c_2Eoption_2ENONE_2E0(X0) = X3 )
| ~ p(c_2Eoption_2EOPTREL_2E3(X0,X1,X2,X3,X4)) ),
inference(cnf_transformation,[],[f93]) ).
tff(f93,plain,
! [X0: $tType,X1: $tType,X2: tyop_2Emin_2Efun(X0,tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool)),X3: tyop_2Eoption_2Eoption(X0),X4: tyop_2Eoption_2Eoption(X1)] :
( ( p(c_2Eoption_2EOPTREL_2E3(X0,X1,X2,X3,X4))
| ( ! [X5: X0,X6: X1] :
( ~ p(app_2E2(X1,tyop_2Emin_2Ebool,app_2E2(X0,tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),X2,X5),X6))
| ( c_2Eoption_2ESOME_2E1(X1,X6) != X4 )
| ( c_2Eoption_2ESOME_2E1(X0,X5) != X3 ) )
& ( ( c_2Eoption_2ENONE_2E0(X1) != X4 )
| ( c_2Eoption_2ENONE_2E0(X0) != X3 ) ) ) )
& ( ( p(app_2E2(X1,tyop_2Emin_2Ebool,app_2E2(X0,tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),X2,sK5(X0,X1,X2,X3,X4)),sK6(X0,X1,X2,X3,X4)))
& ( c_2Eoption_2ESOME_2E1(X1,sK6(X0,X1,X2,X3,X4)) = X4 )
& ( c_2Eoption_2ESOME_2E1(X0,sK5(X0,X1,X2,X3,X4)) = X3 ) )
| ( ( c_2Eoption_2ENONE_2E0(X1) = X4 )
& ( c_2Eoption_2ENONE_2E0(X0) = X3 ) )
| ~ p(c_2Eoption_2EOPTREL_2E3(X0,X1,X2,X3,X4)) ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK5,sK6])],[f91,f92]) ).
tff(f92,plain,
! [X1: $tType,X0: $tType,X2: tyop_2Emin_2Efun(X0,tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool)),X3: tyop_2Eoption_2Eoption(X0),X4: tyop_2Eoption_2Eoption(X1)] :
( ? [X7: X0,X8: X1] :
( p(app_2E2(X1,tyop_2Emin_2Ebool,app_2E2(X0,tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),X2,X7),X8))
& ( c_2Eoption_2ESOME_2E1(X1,X8) = X4 )
& ( c_2Eoption_2ESOME_2E1(X0,X7) = X3 ) )
=> ( p(app_2E2(X1,tyop_2Emin_2Ebool,app_2E2(X0,tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),X2,sK5(X0,X1,X2,X3,X4)),sK6(X0,X1,X2,X3,X4)))
& ( c_2Eoption_2ESOME_2E1(X1,sK6(X0,X1,X2,X3,X4)) = X4 )
& ( c_2Eoption_2ESOME_2E1(X0,sK5(X0,X1,X2,X3,X4)) = X3 ) ) ),
introduced(choice_axiom,[]) ).
tff(f91,plain,
! [X0: $tType,X1: $tType,X2: tyop_2Emin_2Efun(X0,tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool)),X3: tyop_2Eoption_2Eoption(X0),X4: tyop_2Eoption_2Eoption(X1)] :
( ( p(c_2Eoption_2EOPTREL_2E3(X0,X1,X2,X3,X4))
| ( ! [X5: X0,X6: X1] :
( ~ p(app_2E2(X1,tyop_2Emin_2Ebool,app_2E2(X0,tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),X2,X5),X6))
| ( c_2Eoption_2ESOME_2E1(X1,X6) != X4 )
| ( c_2Eoption_2ESOME_2E1(X0,X5) != X3 ) )
& ( ( c_2Eoption_2ENONE_2E0(X1) != X4 )
| ( c_2Eoption_2ENONE_2E0(X0) != X3 ) ) ) )
& ( ? [X7: X0,X8: X1] :
( p(app_2E2(X1,tyop_2Emin_2Ebool,app_2E2(X0,tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),X2,X7),X8))
& ( c_2Eoption_2ESOME_2E1(X1,X8) = X4 )
& ( c_2Eoption_2ESOME_2E1(X0,X7) = X3 ) )
| ( ( c_2Eoption_2ENONE_2E0(X1) = X4 )
& ( c_2Eoption_2ENONE_2E0(X0) = X3 ) )
| ~ p(c_2Eoption_2EOPTREL_2E3(X0,X1,X2,X3,X4)) ) ),
inference(rectify,[],[f90]) ).
tff(f90,plain,
! [X0: $tType,X1: $tType,X2: tyop_2Emin_2Efun(X0,tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool)),X3: tyop_2Eoption_2Eoption(X0),X4: tyop_2Eoption_2Eoption(X1)] :
( ( p(c_2Eoption_2EOPTREL_2E3(X0,X1,X2,X3,X4))
| ( ! [X5: X0,X6: X1] :
( ~ p(app_2E2(X1,tyop_2Emin_2Ebool,app_2E2(X0,tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),X2,X5),X6))
| ( c_2Eoption_2ESOME_2E1(X1,X6) != X4 )
| ( c_2Eoption_2ESOME_2E1(X0,X5) != X3 ) )
& ( ( c_2Eoption_2ENONE_2E0(X1) != X4 )
| ( c_2Eoption_2ENONE_2E0(X0) != X3 ) ) ) )
& ( ? [X5: X0,X6: X1] :
( p(app_2E2(X1,tyop_2Emin_2Ebool,app_2E2(X0,tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),X2,X5),X6))
& ( c_2Eoption_2ESOME_2E1(X1,X6) = X4 )
& ( c_2Eoption_2ESOME_2E1(X0,X5) = X3 ) )
| ( ( c_2Eoption_2ENONE_2E0(X1) = X4 )
& ( c_2Eoption_2ENONE_2E0(X0) = X3 ) )
| ~ p(c_2Eoption_2EOPTREL_2E3(X0,X1,X2,X3,X4)) ) ),
inference(flattening,[],[f89]) ).
tff(f89,plain,
! [X0: $tType,X1: $tType,X2: tyop_2Emin_2Efun(X0,tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool)),X3: tyop_2Eoption_2Eoption(X0),X4: tyop_2Eoption_2Eoption(X1)] :
( ( p(c_2Eoption_2EOPTREL_2E3(X0,X1,X2,X3,X4))
| ( ! [X5: X0,X6: X1] :
( ~ p(app_2E2(X1,tyop_2Emin_2Ebool,app_2E2(X0,tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),X2,X5),X6))
| ( c_2Eoption_2ESOME_2E1(X1,X6) != X4 )
| ( c_2Eoption_2ESOME_2E1(X0,X5) != X3 ) )
& ( ( c_2Eoption_2ENONE_2E0(X1) != X4 )
| ( c_2Eoption_2ENONE_2E0(X0) != X3 ) ) ) )
& ( ? [X5: X0,X6: X1] :
( p(app_2E2(X1,tyop_2Emin_2Ebool,app_2E2(X0,tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),X2,X5),X6))
& ( c_2Eoption_2ESOME_2E1(X1,X6) = X4 )
& ( c_2Eoption_2ESOME_2E1(X0,X5) = X3 ) )
| ( ( c_2Eoption_2ENONE_2E0(X1) = X4 )
& ( c_2Eoption_2ENONE_2E0(X0) = X3 ) )
| ~ p(c_2Eoption_2EOPTREL_2E3(X0,X1,X2,X3,X4)) ) ),
inference(nnf_transformation,[],[f55]) ).
tff(f55,plain,
! [X0: $tType,X1: $tType,X2: tyop_2Emin_2Efun(X0,tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool)),X3: tyop_2Eoption_2Eoption(X0),X4: tyop_2Eoption_2Eoption(X1)] :
( p(c_2Eoption_2EOPTREL_2E3(X0,X1,X2,X3,X4))
<=> ( ? [X5: X0,X6: X1] :
( p(app_2E2(X1,tyop_2Emin_2Ebool,app_2E2(X0,tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),X2,X5),X6))
& ( c_2Eoption_2ESOME_2E1(X1,X6) = X4 )
& ( c_2Eoption_2ESOME_2E1(X0,X5) = X3 ) )
| ( ( c_2Eoption_2ENONE_2E0(X1) = X4 )
& ( c_2Eoption_2ENONE_2E0(X0) = X3 ) ) ) ),
inference(rectify,[],[f45]) ).
tff(f45,axiom,
! [X0: $tType,X1: $tType,X42: tyop_2Emin_2Efun(X0,tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool)),X11: tyop_2Eoption_2Eoption(X0),X43: tyop_2Eoption_2Eoption(X1)] :
( p(c_2Eoption_2EOPTREL_2E3(X0,X1,X42,X11,X43))
<=> ( ? [X44: X0,X45: X1] :
( p(app_2E2(X1,tyop_2Emin_2Ebool,app_2E2(X0,tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),X42,X44),X45))
& ( c_2Eoption_2ESOME_2E1(X1,X45) = X43 )
& ( c_2Eoption_2ESOME_2E1(X0,X44) = X11 ) )
| ( ( c_2Eoption_2ENONE_2E0(X1) = X43 )
& ( c_2Eoption_2ENONE_2E0(X0) = X11 ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',thm_2Eoption_2EOPTREL__def) ).
tff(f765,plain,
( ( c_2Ebool_2ET_2E0 = app_2E2(sK0,tyop_2Emin_2Ebool,app_2E2(sK0,tyop_2Emin_2Efun(sK0,tyop_2Emin_2Ebool),sK3,sK2),sK6(sK0,sK0,sK3,app_2E2(sK0,tyop_2Eoption_2Eoption(sK0),c_2Eoption_2ESOME_2E0(sK0),sK2),app_2E2(sK0,tyop_2Eoption_2Eoption(sK0),c_2Eoption_2ESOME_2E0(sK0),sK1))) )
| spl7_4
| spl7_8 ),
inference(unit_resulting_resolution,[],[f665,f107]) ).
tff(f665,plain,
( p(app_2E2(sK0,tyop_2Emin_2Ebool,app_2E2(sK0,tyop_2Emin_2Efun(sK0,tyop_2Emin_2Ebool),sK3,sK2),sK6(sK0,sK0,sK3,app_2E2(sK0,tyop_2Eoption_2Eoption(sK0),c_2Eoption_2ESOME_2E0(sK0),sK2),app_2E2(sK0,tyop_2Eoption_2Eoption(sK0),c_2Eoption_2ESOME_2E0(sK0),sK1))))
| spl7_4
| spl7_8 ),
inference(backward_demodulation,[],[f585,f654]) ).
tff(f654,plain,
( ( sK2 = sK5(sK0,sK0,sK3,app_2E2(sK0,tyop_2Eoption_2Eoption(sK0),c_2Eoption_2ESOME_2E0(sK0),sK2),app_2E2(sK0,tyop_2Eoption_2Eoption(sK0),c_2Eoption_2ESOME_2E0(sK0),sK1)) )
| spl7_4
| spl7_8 ),
inference(unit_resulting_resolution,[],[f587,f238]) ).
tff(f587,plain,
( ( app_2E2(sK0,tyop_2Eoption_2Eoption(sK0),c_2Eoption_2ESOME_2E0(sK0),sK2) = app_2E2(sK0,tyop_2Eoption_2Eoption(sK0),c_2Eoption_2ESOME_2E0(sK0),sK5(sK0,sK0,sK3,app_2E2(sK0,tyop_2Eoption_2Eoption(sK0),c_2Eoption_2ESOME_2E0(sK0),sK2),app_2E2(sK0,tyop_2Eoption_2Eoption(sK0),c_2Eoption_2ESOME_2E0(sK0),sK1))) )
| spl7_4
| spl7_8 ),
inference(subsumption_resolution,[],[f586,f234]) ).
tff(f586,plain,
( ( c_2Eoption_2ENONE_2E0(sK0) = app_2E2(sK0,tyop_2Eoption_2Eoption(sK0),c_2Eoption_2ESOME_2E0(sK0),sK2) )
| ( app_2E2(sK0,tyop_2Eoption_2Eoption(sK0),c_2Eoption_2ESOME_2E0(sK0),sK2) = app_2E2(sK0,tyop_2Eoption_2Eoption(sK0),c_2Eoption_2ESOME_2E0(sK0),sK5(sK0,sK0,sK3,app_2E2(sK0,tyop_2Eoption_2Eoption(sK0),c_2Eoption_2ESOME_2E0(sK0),sK2),app_2E2(sK0,tyop_2Eoption_2Eoption(sK0),c_2Eoption_2ESOME_2E0(sK0),sK1))) )
| spl7_4
| spl7_8 ),
inference(subsumption_resolution,[],[f579,f245]) ).
tff(f579,plain,
( ~ p(c_2Ebool_2ET_2E0)
| ( c_2Eoption_2ENONE_2E0(sK0) = app_2E2(sK0,tyop_2Eoption_2Eoption(sK0),c_2Eoption_2ESOME_2E0(sK0),sK2) )
| ( app_2E2(sK0,tyop_2Eoption_2Eoption(sK0),c_2Eoption_2ESOME_2E0(sK0),sK2) = app_2E2(sK0,tyop_2Eoption_2Eoption(sK0),c_2Eoption_2ESOME_2E0(sK0),sK5(sK0,sK0,sK3,app_2E2(sK0,tyop_2Eoption_2Eoption(sK0),c_2Eoption_2ESOME_2E0(sK0),sK2),app_2E2(sK0,tyop_2Eoption_2Eoption(sK0),c_2Eoption_2ESOME_2E0(sK0),sK1))) )
| spl7_4
| spl7_8 ),
inference(superposition,[],[f215,f563]) ).
tff(f215,plain,
! [X1: $tType,X0: $tType,X2: tyop_2Emin_2Efun(X0,tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool)),X3: tyop_2Eoption_2Eoption(X0),X4: tyop_2Eoption_2Eoption(X1)] :
( ~ p(app_2E2(tyop_2Eoption_2Eoption(X1),tyop_2Emin_2Ebool,app_2E2(tyop_2Eoption_2Eoption(X0),tyop_2Emin_2Efun(tyop_2Eoption_2Eoption(X1),tyop_2Emin_2Ebool),app_2E2(tyop_2Emin_2Efun(X0,tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool)),tyop_2Emin_2Efun(tyop_2Eoption_2Eoption(X0),tyop_2Emin_2Efun(tyop_2Eoption_2Eoption(X1),tyop_2Emin_2Ebool)),c_2Eoption_2EOPTREL_2E0(X0,X1),X2),X3),X4))
| ( c_2Eoption_2ENONE_2E0(X0) = X3 )
| ( app_2E2(X0,tyop_2Eoption_2Eoption(X0),c_2Eoption_2ESOME_2E0(X0),sK5(X0,X1,X2,X3,X4)) = X3 ) ),
inference(definition_unfolding,[],[f122,f194,f191]) ).
tff(f122,plain,
! [X1: $tType,X0: $tType,X2: tyop_2Emin_2Efun(X0,tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool)),X3: tyop_2Eoption_2Eoption(X0),X4: tyop_2Eoption_2Eoption(X1)] :
( ( c_2Eoption_2ESOME_2E1(X0,sK5(X0,X1,X2,X3,X4)) = X3 )
| ( c_2Eoption_2ENONE_2E0(X0) = X3 )
| ~ p(c_2Eoption_2EOPTREL_2E3(X0,X1,X2,X3,X4)) ),
inference(cnf_transformation,[],[f93]) ).
tff(f585,plain,
( p(app_2E2(sK0,tyop_2Emin_2Ebool,app_2E2(sK0,tyop_2Emin_2Efun(sK0,tyop_2Emin_2Ebool),sK3,sK5(sK0,sK0,sK3,app_2E2(sK0,tyop_2Eoption_2Eoption(sK0),c_2Eoption_2ESOME_2E0(sK0),sK2),app_2E2(sK0,tyop_2Eoption_2Eoption(sK0),c_2Eoption_2ESOME_2E0(sK0),sK1))),sK6(sK0,sK0,sK3,app_2E2(sK0,tyop_2Eoption_2Eoption(sK0),c_2Eoption_2ESOME_2E0(sK0),sK2),app_2E2(sK0,tyop_2Eoption_2Eoption(sK0),c_2Eoption_2ESOME_2E0(sK0),sK1))))
| spl7_4
| spl7_8 ),
inference(subsumption_resolution,[],[f584,f234]) ).
tff(f584,plain,
( ( c_2Eoption_2ENONE_2E0(sK0) = app_2E2(sK0,tyop_2Eoption_2Eoption(sK0),c_2Eoption_2ESOME_2E0(sK0),sK2) )
| p(app_2E2(sK0,tyop_2Emin_2Ebool,app_2E2(sK0,tyop_2Emin_2Efun(sK0,tyop_2Emin_2Ebool),sK3,sK5(sK0,sK0,sK3,app_2E2(sK0,tyop_2Eoption_2Eoption(sK0),c_2Eoption_2ESOME_2E0(sK0),sK2),app_2E2(sK0,tyop_2Eoption_2Eoption(sK0),c_2Eoption_2ESOME_2E0(sK0),sK1))),sK6(sK0,sK0,sK3,app_2E2(sK0,tyop_2Eoption_2Eoption(sK0),c_2Eoption_2ESOME_2E0(sK0),sK2),app_2E2(sK0,tyop_2Eoption_2Eoption(sK0),c_2Eoption_2ESOME_2E0(sK0),sK1))))
| spl7_4
| spl7_8 ),
inference(subsumption_resolution,[],[f577,f245]) ).
tff(f577,plain,
( ~ p(c_2Ebool_2ET_2E0)
| ( c_2Eoption_2ENONE_2E0(sK0) = app_2E2(sK0,tyop_2Eoption_2Eoption(sK0),c_2Eoption_2ESOME_2E0(sK0),sK2) )
| p(app_2E2(sK0,tyop_2Emin_2Ebool,app_2E2(sK0,tyop_2Emin_2Efun(sK0,tyop_2Emin_2Ebool),sK3,sK5(sK0,sK0,sK3,app_2E2(sK0,tyop_2Eoption_2Eoption(sK0),c_2Eoption_2ESOME_2E0(sK0),sK2),app_2E2(sK0,tyop_2Eoption_2Eoption(sK0),c_2Eoption_2ESOME_2E0(sK0),sK1))),sK6(sK0,sK0,sK3,app_2E2(sK0,tyop_2Eoption_2Eoption(sK0),c_2Eoption_2ESOME_2E0(sK0),sK2),app_2E2(sK0,tyop_2Eoption_2Eoption(sK0),c_2Eoption_2ESOME_2E0(sK0),sK1))))
| spl7_4
| spl7_8 ),
inference(superposition,[],[f211,f563]) ).
tff(f211,plain,
! [X1: $tType,X0: $tType,X2: tyop_2Emin_2Efun(X0,tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool)),X3: tyop_2Eoption_2Eoption(X0),X4: tyop_2Eoption_2Eoption(X1)] :
( ~ p(app_2E2(tyop_2Eoption_2Eoption(X1),tyop_2Emin_2Ebool,app_2E2(tyop_2Eoption_2Eoption(X0),tyop_2Emin_2Efun(tyop_2Eoption_2Eoption(X1),tyop_2Emin_2Ebool),app_2E2(tyop_2Emin_2Efun(X0,tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool)),tyop_2Emin_2Efun(tyop_2Eoption_2Eoption(X0),tyop_2Emin_2Efun(tyop_2Eoption_2Eoption(X1),tyop_2Emin_2Ebool)),c_2Eoption_2EOPTREL_2E0(X0,X1),X2),X3),X4))
| ( c_2Eoption_2ENONE_2E0(X0) = X3 )
| p(app_2E2(X1,tyop_2Emin_2Ebool,app_2E2(X0,tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),X2,sK5(X0,X1,X2,X3,X4)),sK6(X0,X1,X2,X3,X4))) ),
inference(definition_unfolding,[],[f126,f191]) ).
tff(f126,plain,
! [X1: $tType,X0: $tType,X2: tyop_2Emin_2Efun(X0,tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool)),X3: tyop_2Eoption_2Eoption(X0),X4: tyop_2Eoption_2Eoption(X1)] :
( p(app_2E2(X1,tyop_2Emin_2Ebool,app_2E2(X0,tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),X2,sK5(X0,X1,X2,X3,X4)),sK6(X0,X1,X2,X3,X4)))
| ( c_2Eoption_2ENONE_2E0(X0) = X3 )
| ~ p(c_2Eoption_2EOPTREL_2E3(X0,X1,X2,X3,X4)) ),
inference(cnf_transformation,[],[f93]) ).
tff(f556,plain,
( ( app_2E2(tyop_2Emin_2Ebool,tyop_2Eoption_2Eoption(tyop_2Emin_2Ebool),c_2Eoption_2ESOME_2E0(tyop_2Emin_2Ebool),c_2Ebool_2EF_2E0) != app_2E2(tyop_2Emin_2Ebool,tyop_2Eoption_2Eoption(tyop_2Emin_2Ebool),c_2Eoption_2ESOME_2E0(tyop_2Emin_2Ebool),c_2Ebool_2ET_2E0) )
| spl7_8 ),
inference(backward_demodulation,[],[f552,f547]) ).
tff(f552,plain,
( ( app_2E2(tyop_2Emin_2Ebool,tyop_2Eoption_2Eoption(tyop_2Emin_2Ebool),c_2Eoption_2ESOME_2E0(tyop_2Emin_2Ebool),c_2Ebool_2ET_2E0) != app_2E2(tyop_2Emin_2Ebool,tyop_2Eoption_2Eoption(tyop_2Emin_2Ebool),c_2Eoption_2ESOME_2E0(tyop_2Emin_2Ebool),app_2E2(sK0,tyop_2Emin_2Ebool,app_2E2(sK0,tyop_2Emin_2Efun(sK0,tyop_2Emin_2Ebool),sK3,sK2),sK1)) )
| spl7_8 ),
inference(unit_resulting_resolution,[],[f504,f238]) ).
tff(f541,plain,
( spl7_4
| ~ spl7_7 ),
inference(avatar_contradiction_clause,[],[f540]) ).
tff(f540,plain,
( $false
| spl7_4
| ~ spl7_7 ),
inference(subsumption_resolution,[],[f539,f245]) ).
tff(f539,plain,
( ~ p(c_2Ebool_2ET_2E0)
| spl7_4
| ~ spl7_7 ),
inference(forward_demodulation,[],[f538,f508]) ).
tff(f508,plain,
( ( c_2Ebool_2ET_2E0 = app_2E2(sK0,tyop_2Emin_2Ebool,app_2E2(sK0,tyop_2Emin_2Efun(sK0,tyop_2Emin_2Ebool),sK3,sK2),sK1) )
| spl7_4
| ~ spl7_7 ),
inference(unit_resulting_resolution,[],[f507,f118]) ).
tff(f507,plain,
( ( c_2Ebool_2EF_2E0 != app_2E2(sK0,tyop_2Emin_2Ebool,app_2E2(sK0,tyop_2Emin_2Efun(sK0,tyop_2Emin_2Ebool),sK3,sK2),sK1) )
| spl7_4
| ~ spl7_7 ),
inference(backward_demodulation,[],[f268,f501]) ).
tff(f501,plain,
( ( c_2Ebool_2EF_2E0 = app_2E2(tyop_2Eoption_2Eoption(sK0),tyop_2Emin_2Ebool,app_2E2(tyop_2Eoption_2Eoption(sK0),tyop_2Emin_2Efun(tyop_2Eoption_2Eoption(sK0),tyop_2Emin_2Ebool),app_2E2(tyop_2Emin_2Efun(sK0,tyop_2Emin_2Efun(sK0,tyop_2Emin_2Ebool)),tyop_2Emin_2Efun(tyop_2Eoption_2Eoption(sK0),tyop_2Emin_2Efun(tyop_2Eoption_2Eoption(sK0),tyop_2Emin_2Ebool)),c_2Eoption_2EOPTREL_2E0(sK0,sK0),sK3),app_2E2(sK0,tyop_2Eoption_2Eoption(sK0),c_2Eoption_2ESOME_2E0(sK0),sK2)),app_2E2(sK0,tyop_2Eoption_2Eoption(sK0),c_2Eoption_2ESOME_2E0(sK0),sK1)) )
| ~ spl7_7 ),
inference(avatar_component_clause,[],[f500]) ).
tff(f500,plain,
( spl7_7
<=> ( c_2Ebool_2EF_2E0 = app_2E2(tyop_2Eoption_2Eoption(sK0),tyop_2Emin_2Ebool,app_2E2(tyop_2Eoption_2Eoption(sK0),tyop_2Emin_2Efun(tyop_2Eoption_2Eoption(sK0),tyop_2Emin_2Ebool),app_2E2(tyop_2Emin_2Efun(sK0,tyop_2Emin_2Efun(sK0,tyop_2Emin_2Ebool)),tyop_2Emin_2Efun(tyop_2Eoption_2Eoption(sK0),tyop_2Emin_2Efun(tyop_2Eoption_2Eoption(sK0),tyop_2Emin_2Ebool)),c_2Eoption_2EOPTREL_2E0(sK0,sK0),sK3),app_2E2(sK0,tyop_2Eoption_2Eoption(sK0),c_2Eoption_2ESOME_2E0(sK0),sK2)),app_2E2(sK0,tyop_2Eoption_2Eoption(sK0),c_2Eoption_2ESOME_2E0(sK0),sK1)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl7_7])]) ).
tff(f538,plain,
( ~ p(app_2E2(sK0,tyop_2Emin_2Ebool,app_2E2(sK0,tyop_2Emin_2Efun(sK0,tyop_2Emin_2Ebool),sK3,sK2),sK1))
| ~ spl7_7 ),
inference(subsumption_resolution,[],[f531,f243]) ).
tff(f243,plain,
~ p(c_2Ebool_2EF_2E0),
inference(equality_resolution,[],[f110]) ).
tff(f110,plain,
! [X0: tyop_2Emin_2Ebool] :
( ~ p(X0)
| ( c_2Ebool_2EF_2E0 != X0 ) ),
inference(cnf_transformation,[],[f84]) ).
tff(f531,plain,
( p(c_2Ebool_2EF_2E0)
| ~ p(app_2E2(sK0,tyop_2Emin_2Ebool,app_2E2(sK0,tyop_2Emin_2Efun(sK0,tyop_2Emin_2Ebool),sK3,sK2),sK1))
| ~ spl7_7 ),
inference(superposition,[],[f248,f501]) ).
tff(f248,plain,
! [X1: $tType,X0: $tType,X2: tyop_2Emin_2Efun(X0,tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool)),X6: X1,X5: X0] :
( p(app_2E2(tyop_2Eoption_2Eoption(X1),tyop_2Emin_2Ebool,app_2E2(tyop_2Eoption_2Eoption(X0),tyop_2Emin_2Efun(tyop_2Eoption_2Eoption(X1),tyop_2Emin_2Ebool),app_2E2(tyop_2Emin_2Efun(X0,tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool)),tyop_2Emin_2Efun(tyop_2Eoption_2Eoption(X0),tyop_2Emin_2Efun(tyop_2Eoption_2Eoption(X1),tyop_2Emin_2Ebool)),c_2Eoption_2EOPTREL_2E0(X0,X1),X2),app_2E2(X0,tyop_2Eoption_2Eoption(X0),c_2Eoption_2ESOME_2E0(X0),X5)),app_2E2(X1,tyop_2Eoption_2Eoption(X1),c_2Eoption_2ESOME_2E0(X1),X6)))
| ~ p(app_2E2(X1,tyop_2Emin_2Ebool,app_2E2(X0,tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),X2,X5),X6)) ),
inference(equality_resolution,[],[f247]) ).
tff(f247,plain,
! [X1: $tType,X0: $tType,X2: tyop_2Emin_2Efun(X0,tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool)),X3: tyop_2Eoption_2Eoption(X0),X6: X1,X5: X0] :
( p(app_2E2(tyop_2Eoption_2Eoption(X1),tyop_2Emin_2Ebool,app_2E2(tyop_2Eoption_2Eoption(X0),tyop_2Emin_2Efun(tyop_2Eoption_2Eoption(X1),tyop_2Emin_2Ebool),app_2E2(tyop_2Emin_2Efun(X0,tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool)),tyop_2Emin_2Efun(tyop_2Eoption_2Eoption(X0),tyop_2Emin_2Efun(tyop_2Eoption_2Eoption(X1),tyop_2Emin_2Ebool)),c_2Eoption_2EOPTREL_2E0(X0,X1),X2),X3),app_2E2(X1,tyop_2Eoption_2Eoption(X1),c_2Eoption_2ESOME_2E0(X1),X6)))
| ~ p(app_2E2(X1,tyop_2Emin_2Ebool,app_2E2(X0,tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),X2,X5),X6))
| ( app_2E2(X0,tyop_2Eoption_2Eoption(X0),c_2Eoption_2ESOME_2E0(X0),X5) != X3 ) ),
inference(equality_resolution,[],[f208]) ).
tff(f208,plain,
! [X1: $tType,X0: $tType,X2: tyop_2Emin_2Efun(X0,tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool)),X3: tyop_2Eoption_2Eoption(X0),X6: X1,X4: tyop_2Eoption_2Eoption(X1),X5: X0] :
( p(app_2E2(tyop_2Eoption_2Eoption(X1),tyop_2Emin_2Ebool,app_2E2(tyop_2Eoption_2Eoption(X0),tyop_2Emin_2Efun(tyop_2Eoption_2Eoption(X1),tyop_2Emin_2Ebool),app_2E2(tyop_2Emin_2Efun(X0,tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool)),tyop_2Emin_2Efun(tyop_2Eoption_2Eoption(X0),tyop_2Emin_2Efun(tyop_2Eoption_2Eoption(X1),tyop_2Emin_2Ebool)),c_2Eoption_2EOPTREL_2E0(X0,X1),X2),X3),X4))
| ~ p(app_2E2(X1,tyop_2Emin_2Ebool,app_2E2(X0,tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),X2,X5),X6))
| ( app_2E2(X1,tyop_2Eoption_2Eoption(X1),c_2Eoption_2ESOME_2E0(X1),X6) != X4 )
| ( app_2E2(X0,tyop_2Eoption_2Eoption(X0),c_2Eoption_2ESOME_2E0(X0),X5) != X3 ) ),
inference(definition_unfolding,[],[f129,f191,f194,f194]) ).
tff(f129,plain,
! [X1: $tType,X0: $tType,X2: tyop_2Emin_2Efun(X0,tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool)),X3: tyop_2Eoption_2Eoption(X0),X6: X1,X4: tyop_2Eoption_2Eoption(X1),X5: X0] :
( p(c_2Eoption_2EOPTREL_2E3(X0,X1,X2,X3,X4))
| ~ p(app_2E2(X1,tyop_2Emin_2Ebool,app_2E2(X0,tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),X2,X5),X6))
| ( c_2Eoption_2ESOME_2E1(X1,X6) != X4 )
| ( c_2Eoption_2ESOME_2E1(X0,X5) != X3 ) ),
inference(cnf_transformation,[],[f93]) ).
tff(f505,plain,
( spl7_7
| ~ spl7_8
| spl7_4 ),
inference(avatar_split_clause,[],[f498,f267,f503,f500]) ).
tff(f498,plain,
( ( c_2Ebool_2ET_2E0 != app_2E2(sK0,tyop_2Emin_2Ebool,app_2E2(sK0,tyop_2Emin_2Efun(sK0,tyop_2Emin_2Ebool),sK3,sK2),sK1) )
| ( c_2Ebool_2EF_2E0 = app_2E2(tyop_2Eoption_2Eoption(sK0),tyop_2Emin_2Ebool,app_2E2(tyop_2Eoption_2Eoption(sK0),tyop_2Emin_2Efun(tyop_2Eoption_2Eoption(sK0),tyop_2Emin_2Ebool),app_2E2(tyop_2Emin_2Efun(sK0,tyop_2Emin_2Efun(sK0,tyop_2Emin_2Ebool)),tyop_2Emin_2Efun(tyop_2Eoption_2Eoption(sK0),tyop_2Emin_2Efun(tyop_2Eoption_2Eoption(sK0),tyop_2Emin_2Ebool)),c_2Eoption_2EOPTREL_2E0(sK0,sK0),sK3),app_2E2(sK0,tyop_2Eoption_2Eoption(sK0),c_2Eoption_2ESOME_2E0(sK0),sK2)),app_2E2(sK0,tyop_2Eoption_2Eoption(sK0),c_2Eoption_2ESOME_2E0(sK0),sK1)) )
| spl7_4 ),
inference(superposition,[],[f268,f118]) ).
tff(f482,plain,
spl7_3,
inference(avatar_contradiction_clause,[],[f481]) ).
tff(f481,plain,
( $false
| spl7_3 ),
inference(subsumption_resolution,[],[f465,f419]) ).
tff(f419,plain,
! [X1: $tType,X0: $tType,X2: tyop_2Emin_2Efun(X1,tyop_2Emin_2Efun(X0,tyop_2Emin_2Ebool)),X3: X0] : ~ p(app_2E2(tyop_2Eoption_2Eoption(X0),tyop_2Emin_2Ebool,app_2E2(tyop_2Eoption_2Eoption(X1),tyop_2Emin_2Efun(tyop_2Eoption_2Eoption(X0),tyop_2Emin_2Ebool),app_2E2(tyop_2Emin_2Efun(X1,tyop_2Emin_2Efun(X0,tyop_2Emin_2Ebool)),tyop_2Emin_2Efun(tyop_2Eoption_2Eoption(X1),tyop_2Emin_2Efun(tyop_2Eoption_2Eoption(X0),tyop_2Emin_2Ebool)),c_2Eoption_2EOPTREL_2E0(X1,X0),X2),c_2Eoption_2ENONE_2E0(X1)),app_2E2(X0,tyop_2Eoption_2Eoption(X0),c_2Eoption_2ESOME_2E0(X0),X3))),
inference(unit_resulting_resolution,[],[f234,f234,f214]) ).
tff(f214,plain,
! [X1: $tType,X0: $tType,X2: tyop_2Emin_2Efun(X0,tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool)),X3: tyop_2Eoption_2Eoption(X0),X4: tyop_2Eoption_2Eoption(X1)] :
( ~ p(app_2E2(tyop_2Eoption_2Eoption(X1),tyop_2Emin_2Ebool,app_2E2(tyop_2Eoption_2Eoption(X0),tyop_2Emin_2Efun(tyop_2Eoption_2Eoption(X1),tyop_2Emin_2Ebool),app_2E2(tyop_2Emin_2Efun(X0,tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool)),tyop_2Emin_2Efun(tyop_2Eoption_2Eoption(X0),tyop_2Emin_2Efun(tyop_2Eoption_2Eoption(X1),tyop_2Emin_2Ebool)),c_2Eoption_2EOPTREL_2E0(X0,X1),X2),X3),X4))
| ( c_2Eoption_2ENONE_2E0(X1) = X4 )
| ( app_2E2(X0,tyop_2Eoption_2Eoption(X0),c_2Eoption_2ESOME_2E0(X0),sK5(X0,X1,X2,X3,X4)) = X3 ) ),
inference(definition_unfolding,[],[f123,f194,f191]) ).
tff(f123,plain,
! [X1: $tType,X0: $tType,X2: tyop_2Emin_2Efun(X0,tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool)),X3: tyop_2Eoption_2Eoption(X0),X4: tyop_2Eoption_2Eoption(X1)] :
( ( c_2Eoption_2ESOME_2E1(X0,sK5(X0,X1,X2,X3,X4)) = X3 )
| ( c_2Eoption_2ENONE_2E0(X1) = X4 )
| ~ p(c_2Eoption_2EOPTREL_2E3(X0,X1,X2,X3,X4)) ),
inference(cnf_transformation,[],[f93]) ).
tff(f465,plain,
( p(app_2E2(tyop_2Eoption_2Eoption(sK0),tyop_2Emin_2Ebool,app_2E2(tyop_2Eoption_2Eoption(sK0),tyop_2Emin_2Efun(tyop_2Eoption_2Eoption(sK0),tyop_2Emin_2Ebool),app_2E2(tyop_2Emin_2Efun(sK0,tyop_2Emin_2Efun(sK0,tyop_2Emin_2Ebool)),tyop_2Emin_2Efun(tyop_2Eoption_2Eoption(sK0),tyop_2Emin_2Efun(tyop_2Eoption_2Eoption(sK0),tyop_2Emin_2Ebool)),c_2Eoption_2EOPTREL_2E0(sK0,sK0),sK3),c_2Eoption_2ENONE_2E0(sK0)),app_2E2(sK0,tyop_2Eoption_2Eoption(sK0),c_2Eoption_2ESOME_2E0(sK0),sK1)))
| spl7_3 ),
inference(unit_resulting_resolution,[],[f265,f111]) ).
tff(f111,plain,
! [X0: tyop_2Emin_2Ebool] :
( ( c_2Ebool_2EF_2E0 = X0 )
| p(X0) ),
inference(cnf_transformation,[],[f84]) ).
tff(f265,plain,
( ( c_2Ebool_2EF_2E0 != app_2E2(tyop_2Eoption_2Eoption(sK0),tyop_2Emin_2Ebool,app_2E2(tyop_2Eoption_2Eoption(sK0),tyop_2Emin_2Efun(tyop_2Eoption_2Eoption(sK0),tyop_2Emin_2Ebool),app_2E2(tyop_2Emin_2Efun(sK0,tyop_2Emin_2Efun(sK0,tyop_2Emin_2Ebool)),tyop_2Emin_2Efun(tyop_2Eoption_2Eoption(sK0),tyop_2Emin_2Efun(tyop_2Eoption_2Eoption(sK0),tyop_2Emin_2Ebool)),c_2Eoption_2EOPTREL_2E0(sK0,sK0),sK3),c_2Eoption_2ENONE_2E0(sK0)),app_2E2(sK0,tyop_2Eoption_2Eoption(sK0),c_2Eoption_2ESOME_2E0(sK0),sK1)) )
| spl7_3 ),
inference(avatar_component_clause,[],[f264]) ).
tff(f264,plain,
( spl7_3
<=> ( c_2Ebool_2EF_2E0 = app_2E2(tyop_2Eoption_2Eoption(sK0),tyop_2Emin_2Ebool,app_2E2(tyop_2Eoption_2Eoption(sK0),tyop_2Emin_2Efun(tyop_2Eoption_2Eoption(sK0),tyop_2Emin_2Ebool),app_2E2(tyop_2Emin_2Efun(sK0,tyop_2Emin_2Efun(sK0,tyop_2Emin_2Ebool)),tyop_2Emin_2Efun(tyop_2Eoption_2Eoption(sK0),tyop_2Emin_2Efun(tyop_2Eoption_2Eoption(sK0),tyop_2Emin_2Ebool)),c_2Eoption_2EOPTREL_2E0(sK0,sK0),sK3),c_2Eoption_2ENONE_2E0(sK0)),app_2E2(sK0,tyop_2Eoption_2Eoption(sK0),c_2Eoption_2ESOME_2E0(sK0),sK1)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl7_3])]) ).
tff(f456,plain,
spl7_2,
inference(avatar_contradiction_clause,[],[f455]) ).
tff(f455,plain,
( $false
| spl7_2 ),
inference(subsumption_resolution,[],[f454,f234]) ).
tff(f454,plain,
( ( c_2Eoption_2ENONE_2E0(sK0) = app_2E2(sK0,tyop_2Eoption_2Eoption(sK0),c_2Eoption_2ESOME_2E0(sK0),sK6(sK0,sK0,sK3,app_2E2(sK0,tyop_2Eoption_2Eoption(sK0),c_2Eoption_2ESOME_2E0(sK0),sK2),c_2Eoption_2ENONE_2E0(sK0))) )
| spl7_2 ),
inference(subsumption_resolution,[],[f453,f234]) ).
tff(f453,plain,
( ( c_2Eoption_2ENONE_2E0(sK0) = app_2E2(sK0,tyop_2Eoption_2Eoption(sK0),c_2Eoption_2ESOME_2E0(sK0),sK2) )
| ( c_2Eoption_2ENONE_2E0(sK0) = app_2E2(sK0,tyop_2Eoption_2Eoption(sK0),c_2Eoption_2ESOME_2E0(sK0),sK6(sK0,sK0,sK3,app_2E2(sK0,tyop_2Eoption_2Eoption(sK0),c_2Eoption_2ESOME_2E0(sK0),sK2),c_2Eoption_2ENONE_2E0(sK0))) )
| spl7_2 ),
inference(subsumption_resolution,[],[f441,f245]) ).
tff(f441,plain,
( ~ p(c_2Ebool_2ET_2E0)
| ( c_2Eoption_2ENONE_2E0(sK0) = app_2E2(sK0,tyop_2Eoption_2Eoption(sK0),c_2Eoption_2ESOME_2E0(sK0),sK2) )
| ( c_2Eoption_2ENONE_2E0(sK0) = app_2E2(sK0,tyop_2Eoption_2Eoption(sK0),c_2Eoption_2ESOME_2E0(sK0),sK6(sK0,sK0,sK3,app_2E2(sK0,tyop_2Eoption_2Eoption(sK0),c_2Eoption_2ESOME_2E0(sK0),sK2),c_2Eoption_2ENONE_2E0(sK0))) )
| spl7_2 ),
inference(superposition,[],[f213,f281]) ).
tff(f281,plain,
( ( c_2Ebool_2ET_2E0 = app_2E2(tyop_2Eoption_2Eoption(sK0),tyop_2Emin_2Ebool,app_2E2(tyop_2Eoption_2Eoption(sK0),tyop_2Emin_2Efun(tyop_2Eoption_2Eoption(sK0),tyop_2Emin_2Ebool),app_2E2(tyop_2Emin_2Efun(sK0,tyop_2Emin_2Efun(sK0,tyop_2Emin_2Ebool)),tyop_2Emin_2Efun(tyop_2Eoption_2Eoption(sK0),tyop_2Emin_2Efun(tyop_2Eoption_2Eoption(sK0),tyop_2Emin_2Ebool)),c_2Eoption_2EOPTREL_2E0(sK0,sK0),sK3),app_2E2(sK0,tyop_2Eoption_2Eoption(sK0),c_2Eoption_2ESOME_2E0(sK0),sK2)),c_2Eoption_2ENONE_2E0(sK0)) )
| spl7_2 ),
inference(unit_resulting_resolution,[],[f262,f118]) ).
tff(f262,plain,
( ( c_2Ebool_2EF_2E0 != app_2E2(tyop_2Eoption_2Eoption(sK0),tyop_2Emin_2Ebool,app_2E2(tyop_2Eoption_2Eoption(sK0),tyop_2Emin_2Efun(tyop_2Eoption_2Eoption(sK0),tyop_2Emin_2Ebool),app_2E2(tyop_2Emin_2Efun(sK0,tyop_2Emin_2Efun(sK0,tyop_2Emin_2Ebool)),tyop_2Emin_2Efun(tyop_2Eoption_2Eoption(sK0),tyop_2Emin_2Efun(tyop_2Eoption_2Eoption(sK0),tyop_2Emin_2Ebool)),c_2Eoption_2EOPTREL_2E0(sK0,sK0),sK3),app_2E2(sK0,tyop_2Eoption_2Eoption(sK0),c_2Eoption_2ESOME_2E0(sK0),sK2)),c_2Eoption_2ENONE_2E0(sK0)) )
| spl7_2 ),
inference(avatar_component_clause,[],[f261]) ).
tff(f261,plain,
( spl7_2
<=> ( c_2Ebool_2EF_2E0 = app_2E2(tyop_2Eoption_2Eoption(sK0),tyop_2Emin_2Ebool,app_2E2(tyop_2Eoption_2Eoption(sK0),tyop_2Emin_2Efun(tyop_2Eoption_2Eoption(sK0),tyop_2Emin_2Ebool),app_2E2(tyop_2Emin_2Efun(sK0,tyop_2Emin_2Efun(sK0,tyop_2Emin_2Ebool)),tyop_2Emin_2Efun(tyop_2Eoption_2Eoption(sK0),tyop_2Emin_2Efun(tyop_2Eoption_2Eoption(sK0),tyop_2Emin_2Ebool)),c_2Eoption_2EOPTREL_2E0(sK0,sK0),sK3),app_2E2(sK0,tyop_2Eoption_2Eoption(sK0),c_2Eoption_2ESOME_2E0(sK0),sK2)),c_2Eoption_2ENONE_2E0(sK0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl7_2])]) ).
tff(f276,plain,
spl7_1,
inference(avatar_contradiction_clause,[],[f275]) ).
tff(f275,plain,
( $false
| spl7_1 ),
inference(subsumption_resolution,[],[f272,f250]) ).
tff(f250,plain,
! [X1: $tType,X0: $tType,X2: tyop_2Emin_2Efun(X0,tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool))] : p(app_2E2(tyop_2Eoption_2Eoption(X1),tyop_2Emin_2Ebool,app_2E2(tyop_2Eoption_2Eoption(X0),tyop_2Emin_2Efun(tyop_2Eoption_2Eoption(X1),tyop_2Emin_2Ebool),app_2E2(tyop_2Emin_2Efun(X0,tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool)),tyop_2Emin_2Efun(tyop_2Eoption_2Eoption(X0),tyop_2Emin_2Efun(tyop_2Eoption_2Eoption(X1),tyop_2Emin_2Ebool)),c_2Eoption_2EOPTREL_2E0(X0,X1),X2),c_2Eoption_2ENONE_2E0(X0)),c_2Eoption_2ENONE_2E0(X1))),
inference(equality_resolution,[],[f249]) ).
tff(f249,plain,
! [X1: $tType,X0: $tType,X2: tyop_2Emin_2Efun(X0,tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool)),X3: tyop_2Eoption_2Eoption(X0)] :
( p(app_2E2(tyop_2Eoption_2Eoption(X1),tyop_2Emin_2Ebool,app_2E2(tyop_2Eoption_2Eoption(X0),tyop_2Emin_2Efun(tyop_2Eoption_2Eoption(X1),tyop_2Emin_2Ebool),app_2E2(tyop_2Emin_2Efun(X0,tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool)),tyop_2Emin_2Efun(tyop_2Eoption_2Eoption(X0),tyop_2Emin_2Efun(tyop_2Eoption_2Eoption(X1),tyop_2Emin_2Ebool)),c_2Eoption_2EOPTREL_2E0(X0,X1),X2),X3),c_2Eoption_2ENONE_2E0(X1)))
| ( c_2Eoption_2ENONE_2E0(X0) != X3 ) ),
inference(equality_resolution,[],[f209]) ).
tff(f209,plain,
! [X1: $tType,X0: $tType,X2: tyop_2Emin_2Efun(X0,tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool)),X3: tyop_2Eoption_2Eoption(X0),X4: tyop_2Eoption_2Eoption(X1)] :
( p(app_2E2(tyop_2Eoption_2Eoption(X1),tyop_2Emin_2Ebool,app_2E2(tyop_2Eoption_2Eoption(X0),tyop_2Emin_2Efun(tyop_2Eoption_2Eoption(X1),tyop_2Emin_2Ebool),app_2E2(tyop_2Emin_2Efun(X0,tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool)),tyop_2Emin_2Efun(tyop_2Eoption_2Eoption(X0),tyop_2Emin_2Efun(tyop_2Eoption_2Eoption(X1),tyop_2Emin_2Ebool)),c_2Eoption_2EOPTREL_2E0(X0,X1),X2),X3),X4))
| ( c_2Eoption_2ENONE_2E0(X1) != X4 )
| ( c_2Eoption_2ENONE_2E0(X0) != X3 ) ),
inference(definition_unfolding,[],[f128,f191]) ).
tff(f128,plain,
! [X1: $tType,X0: $tType,X2: tyop_2Emin_2Efun(X0,tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool)),X3: tyop_2Eoption_2Eoption(X0),X4: tyop_2Eoption_2Eoption(X1)] :
( p(c_2Eoption_2EOPTREL_2E3(X0,X1,X2,X3,X4))
| ( c_2Eoption_2ENONE_2E0(X1) != X4 )
| ( c_2Eoption_2ENONE_2E0(X0) != X3 ) ),
inference(cnf_transformation,[],[f93]) ).
tff(f272,plain,
( ~ p(app_2E2(tyop_2Eoption_2Eoption(sK0),tyop_2Emin_2Ebool,app_2E2(tyop_2Eoption_2Eoption(sK0),tyop_2Emin_2Efun(tyop_2Eoption_2Eoption(sK0),tyop_2Emin_2Ebool),app_2E2(tyop_2Emin_2Efun(sK0,tyop_2Emin_2Efun(sK0,tyop_2Emin_2Ebool)),tyop_2Emin_2Efun(tyop_2Eoption_2Eoption(sK0),tyop_2Emin_2Efun(tyop_2Eoption_2Eoption(sK0),tyop_2Emin_2Ebool)),c_2Eoption_2EOPTREL_2E0(sK0,sK0),sK3),c_2Eoption_2ENONE_2E0(sK0)),c_2Eoption_2ENONE_2E0(sK0)))
| spl7_1 ),
inference(unit_resulting_resolution,[],[f259,f107]) ).
tff(f259,plain,
( ( c_2Ebool_2ET_2E0 != app_2E2(tyop_2Eoption_2Eoption(sK0),tyop_2Emin_2Ebool,app_2E2(tyop_2Eoption_2Eoption(sK0),tyop_2Emin_2Efun(tyop_2Eoption_2Eoption(sK0),tyop_2Emin_2Ebool),app_2E2(tyop_2Emin_2Efun(sK0,tyop_2Emin_2Efun(sK0,tyop_2Emin_2Ebool)),tyop_2Emin_2Efun(tyop_2Eoption_2Eoption(sK0),tyop_2Emin_2Efun(tyop_2Eoption_2Eoption(sK0),tyop_2Emin_2Ebool)),c_2Eoption_2EOPTREL_2E0(sK0,sK0),sK3),c_2Eoption_2ENONE_2E0(sK0)),c_2Eoption_2ENONE_2E0(sK0)) )
| spl7_1 ),
inference(avatar_component_clause,[],[f258]) ).
tff(f258,plain,
( spl7_1
<=> ( c_2Ebool_2ET_2E0 = app_2E2(tyop_2Eoption_2Eoption(sK0),tyop_2Emin_2Ebool,app_2E2(tyop_2Eoption_2Eoption(sK0),tyop_2Emin_2Efun(tyop_2Eoption_2Eoption(sK0),tyop_2Emin_2Ebool),app_2E2(tyop_2Emin_2Efun(sK0,tyop_2Emin_2Efun(sK0,tyop_2Emin_2Ebool)),tyop_2Emin_2Efun(tyop_2Eoption_2Eoption(sK0),tyop_2Emin_2Efun(tyop_2Eoption_2Eoption(sK0),tyop_2Emin_2Ebool)),c_2Eoption_2EOPTREL_2E0(sK0,sK0),sK3),c_2Eoption_2ENONE_2E0(sK0)),c_2Eoption_2ENONE_2E0(sK0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl7_1])]) ).
tff(f269,plain,
( ~ spl7_1
| ~ spl7_2
| ~ spl7_3
| ~ spl7_4 ),
inference(avatar_split_clause,[],[f207,f267,f264,f261,f258]) ).
tff(f207,plain,
( ( app_2E2(sK0,tyop_2Emin_2Ebool,app_2E2(sK0,tyop_2Emin_2Efun(sK0,tyop_2Emin_2Ebool),sK3,sK2),sK1) != app_2E2(tyop_2Eoption_2Eoption(sK0),tyop_2Emin_2Ebool,app_2E2(tyop_2Eoption_2Eoption(sK0),tyop_2Emin_2Efun(tyop_2Eoption_2Eoption(sK0),tyop_2Emin_2Ebool),app_2E2(tyop_2Emin_2Efun(sK0,tyop_2Emin_2Efun(sK0,tyop_2Emin_2Ebool)),tyop_2Emin_2Efun(tyop_2Eoption_2Eoption(sK0),tyop_2Emin_2Efun(tyop_2Eoption_2Eoption(sK0),tyop_2Emin_2Ebool)),c_2Eoption_2EOPTREL_2E0(sK0,sK0),sK3),app_2E2(sK0,tyop_2Eoption_2Eoption(sK0),c_2Eoption_2ESOME_2E0(sK0),sK2)),app_2E2(sK0,tyop_2Eoption_2Eoption(sK0),c_2Eoption_2ESOME_2E0(sK0),sK1)) )
| ( c_2Ebool_2EF_2E0 != app_2E2(tyop_2Eoption_2Eoption(sK0),tyop_2Emin_2Ebool,app_2E2(tyop_2Eoption_2Eoption(sK0),tyop_2Emin_2Efun(tyop_2Eoption_2Eoption(sK0),tyop_2Emin_2Ebool),app_2E2(tyop_2Emin_2Efun(sK0,tyop_2Emin_2Efun(sK0,tyop_2Emin_2Ebool)),tyop_2Emin_2Efun(tyop_2Eoption_2Eoption(sK0),tyop_2Emin_2Efun(tyop_2Eoption_2Eoption(sK0),tyop_2Emin_2Ebool)),c_2Eoption_2EOPTREL_2E0(sK0,sK0),sK3),c_2Eoption_2ENONE_2E0(sK0)),app_2E2(sK0,tyop_2Eoption_2Eoption(sK0),c_2Eoption_2ESOME_2E0(sK0),sK1)) )
| ( c_2Ebool_2EF_2E0 != app_2E2(tyop_2Eoption_2Eoption(sK0),tyop_2Emin_2Ebool,app_2E2(tyop_2Eoption_2Eoption(sK0),tyop_2Emin_2Efun(tyop_2Eoption_2Eoption(sK0),tyop_2Emin_2Ebool),app_2E2(tyop_2Emin_2Efun(sK0,tyop_2Emin_2Efun(sK0,tyop_2Emin_2Ebool)),tyop_2Emin_2Efun(tyop_2Eoption_2Eoption(sK0),tyop_2Emin_2Efun(tyop_2Eoption_2Eoption(sK0),tyop_2Emin_2Ebool)),c_2Eoption_2EOPTREL_2E0(sK0,sK0),sK3),app_2E2(sK0,tyop_2Eoption_2Eoption(sK0),c_2Eoption_2ESOME_2E0(sK0),sK2)),c_2Eoption_2ENONE_2E0(sK0)) )
| ( c_2Ebool_2ET_2E0 != app_2E2(tyop_2Eoption_2Eoption(sK0),tyop_2Emin_2Ebool,app_2E2(tyop_2Eoption_2Eoption(sK0),tyop_2Emin_2Efun(tyop_2Eoption_2Eoption(sK0),tyop_2Emin_2Ebool),app_2E2(tyop_2Emin_2Efun(sK0,tyop_2Emin_2Efun(sK0,tyop_2Emin_2Ebool)),tyop_2Emin_2Efun(tyop_2Eoption_2Eoption(sK0),tyop_2Emin_2Efun(tyop_2Eoption_2Eoption(sK0),tyop_2Emin_2Ebool)),c_2Eoption_2EOPTREL_2E0(sK0,sK0),sK3),c_2Eoption_2ENONE_2E0(sK0)),c_2Eoption_2ENONE_2E0(sK0)) ) ),
inference(definition_unfolding,[],[f103,f191,f194,f194,f191,f194,f191,f194,f191]) ).
tff(f103,plain,
( ( c_2Eoption_2EOPTREL_2E3(sK0,sK0,sK3,c_2Eoption_2ESOME_2E1(sK0,sK2),c_2Eoption_2ESOME_2E1(sK0,sK1)) != app_2E2(sK0,tyop_2Emin_2Ebool,app_2E2(sK0,tyop_2Emin_2Efun(sK0,tyop_2Emin_2Ebool),sK3,sK2),sK1) )
| ( c_2Ebool_2EF_2E0 != c_2Eoption_2EOPTREL_2E3(sK0,sK0,sK3,c_2Eoption_2ENONE_2E0(sK0),c_2Eoption_2ESOME_2E1(sK0,sK1)) )
| ( c_2Ebool_2EF_2E0 != c_2Eoption_2EOPTREL_2E3(sK0,sK0,sK3,c_2Eoption_2ESOME_2E1(sK0,sK2),c_2Eoption_2ENONE_2E0(sK0)) )
| ( c_2Ebool_2ET_2E0 != c_2Eoption_2EOPTREL_2E3(sK0,sK0,sK3,c_2Eoption_2ENONE_2E0(sK0),c_2Eoption_2ENONE_2E0(sK0)) ) ),
inference(cnf_transformation,[],[f82]) ).
tff(f82,plain,
( ( c_2Eoption_2EOPTREL_2E3(sK0,sK0,sK3,c_2Eoption_2ESOME_2E1(sK0,sK2),c_2Eoption_2ESOME_2E1(sK0,sK1)) != app_2E2(sK0,tyop_2Emin_2Ebool,app_2E2(sK0,tyop_2Emin_2Efun(sK0,tyop_2Emin_2Ebool),sK3,sK2),sK1) )
| ( c_2Ebool_2EF_2E0 != c_2Eoption_2EOPTREL_2E3(sK0,sK0,sK3,c_2Eoption_2ENONE_2E0(sK0),c_2Eoption_2ESOME_2E1(sK0,sK1)) )
| ( c_2Ebool_2EF_2E0 != c_2Eoption_2EOPTREL_2E3(sK0,sK0,sK3,c_2Eoption_2ESOME_2E1(sK0,sK2),c_2Eoption_2ENONE_2E0(sK0)) )
| ( c_2Ebool_2ET_2E0 != c_2Eoption_2EOPTREL_2E3(sK0,sK0,sK3,c_2Eoption_2ENONE_2E0(sK0),c_2Eoption_2ENONE_2E0(sK0)) ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK0,sK1,sK2,sK3])],[f74,f81]) ).
tff(f81,plain,
( ? [X0: $tType,X1: X0,X2: X0,X3: tyop_2Emin_2Efun(X0,tyop_2Emin_2Efun(X0,tyop_2Emin_2Ebool))] :
( ( c_2Eoption_2EOPTREL_2E3(X0,X0,X3,c_2Eoption_2ESOME_2E1(X0,X2),c_2Eoption_2ESOME_2E1(X0,X1)) != app_2E2(X0,tyop_2Emin_2Ebool,app_2E2(X0,tyop_2Emin_2Efun(X0,tyop_2Emin_2Ebool),X3,X2),X1) )
| ( c_2Ebool_2EF_2E0 != c_2Eoption_2EOPTREL_2E3(X0,X0,X3,c_2Eoption_2ENONE_2E0(X0),c_2Eoption_2ESOME_2E1(X0,X1)) )
| ( c_2Ebool_2EF_2E0 != c_2Eoption_2EOPTREL_2E3(X0,X0,X3,c_2Eoption_2ESOME_2E1(X0,X2),c_2Eoption_2ENONE_2E0(X0)) )
| ( c_2Ebool_2ET_2E0 != c_2Eoption_2EOPTREL_2E3(X0,X0,X3,c_2Eoption_2ENONE_2E0(X0),c_2Eoption_2ENONE_2E0(X0)) ) )
=> ( ( c_2Eoption_2EOPTREL_2E3(sK0,sK0,sK3,c_2Eoption_2ESOME_2E1(sK0,sK2),c_2Eoption_2ESOME_2E1(sK0,sK1)) != app_2E2(sK0,tyop_2Emin_2Ebool,app_2E2(sK0,tyop_2Emin_2Efun(sK0,tyop_2Emin_2Ebool),sK3,sK2),sK1) )
| ( c_2Ebool_2EF_2E0 != c_2Eoption_2EOPTREL_2E3(sK0,sK0,sK3,c_2Eoption_2ENONE_2E0(sK0),c_2Eoption_2ESOME_2E1(sK0,sK1)) )
| ( c_2Ebool_2EF_2E0 != c_2Eoption_2EOPTREL_2E3(sK0,sK0,sK3,c_2Eoption_2ESOME_2E1(sK0,sK2),c_2Eoption_2ENONE_2E0(sK0)) )
| ( c_2Ebool_2ET_2E0 != c_2Eoption_2EOPTREL_2E3(sK0,sK0,sK3,c_2Eoption_2ENONE_2E0(sK0),c_2Eoption_2ENONE_2E0(sK0)) ) ) ),
introduced(choice_axiom,[]) ).
tff(f74,plain,
? [X0: $tType,X1: X0,X2: X0,X3: tyop_2Emin_2Efun(X0,tyop_2Emin_2Efun(X0,tyop_2Emin_2Ebool))] :
( ( c_2Eoption_2EOPTREL_2E3(X0,X0,X3,c_2Eoption_2ESOME_2E1(X0,X2),c_2Eoption_2ESOME_2E1(X0,X1)) != app_2E2(X0,tyop_2Emin_2Ebool,app_2E2(X0,tyop_2Emin_2Efun(X0,tyop_2Emin_2Ebool),X3,X2),X1) )
| ( c_2Ebool_2EF_2E0 != c_2Eoption_2EOPTREL_2E3(X0,X0,X3,c_2Eoption_2ENONE_2E0(X0),c_2Eoption_2ESOME_2E1(X0,X1)) )
| ( c_2Ebool_2EF_2E0 != c_2Eoption_2EOPTREL_2E3(X0,X0,X3,c_2Eoption_2ESOME_2E1(X0,X2),c_2Eoption_2ENONE_2E0(X0)) )
| ( c_2Ebool_2ET_2E0 != c_2Eoption_2EOPTREL_2E3(X0,X0,X3,c_2Eoption_2ENONE_2E0(X0),c_2Eoption_2ENONE_2E0(X0)) ) ),
inference(ennf_transformation,[],[f48]) ).
tff(f48,plain,
~ ! [X0: $tType,X1: X0,X2: X0,X3: tyop_2Emin_2Efun(X0,tyop_2Emin_2Efun(X0,tyop_2Emin_2Ebool))] :
( ( c_2Eoption_2EOPTREL_2E3(X0,X0,X3,c_2Eoption_2ESOME_2E1(X0,X2),c_2Eoption_2ESOME_2E1(X0,X1)) = app_2E2(X0,tyop_2Emin_2Ebool,app_2E2(X0,tyop_2Emin_2Efun(X0,tyop_2Emin_2Ebool),X3,X2),X1) )
& ( c_2Ebool_2EF_2E0 = c_2Eoption_2EOPTREL_2E3(X0,X0,X3,c_2Eoption_2ENONE_2E0(X0),c_2Eoption_2ESOME_2E1(X0,X1)) )
& ( c_2Ebool_2EF_2E0 = c_2Eoption_2EOPTREL_2E3(X0,X0,X3,c_2Eoption_2ESOME_2E1(X0,X2),c_2Eoption_2ENONE_2E0(X0)) )
& ( c_2Ebool_2ET_2E0 = c_2Eoption_2EOPTREL_2E3(X0,X0,X3,c_2Eoption_2ENONE_2E0(X0),c_2Eoption_2ENONE_2E0(X0)) ) ),
inference(rectify,[],[f47]) ).
tff(f47,negated_conjecture,
~ ! [X0: $tType,X46: X0,X11: X0,X47: tyop_2Emin_2Efun(X0,tyop_2Emin_2Efun(X0,tyop_2Emin_2Ebool))] :
( ( c_2Eoption_2EOPTREL_2E3(X0,X0,X47,c_2Eoption_2ESOME_2E1(X0,X11),c_2Eoption_2ESOME_2E1(X0,X46)) = app_2E2(X0,tyop_2Emin_2Ebool,app_2E2(X0,tyop_2Emin_2Efun(X0,tyop_2Emin_2Ebool),X47,X11),X46) )
& ( c_2Ebool_2EF_2E0 = c_2Eoption_2EOPTREL_2E3(X0,X0,X47,c_2Eoption_2ENONE_2E0(X0),c_2Eoption_2ESOME_2E1(X0,X46)) )
& ( c_2Ebool_2EF_2E0 = c_2Eoption_2EOPTREL_2E3(X0,X0,X47,c_2Eoption_2ESOME_2E1(X0,X11),c_2Eoption_2ENONE_2E0(X0)) )
& ( c_2Ebool_2ET_2E0 = c_2Eoption_2EOPTREL_2E3(X0,X0,X47,c_2Eoption_2ENONE_2E0(X0),c_2Eoption_2ENONE_2E0(X0)) ) ),
inference(negated_conjecture,[],[f46]) ).
tff(f46,conjecture,
! [X0: $tType,X46: X0,X11: X0,X47: tyop_2Emin_2Efun(X0,tyop_2Emin_2Efun(X0,tyop_2Emin_2Ebool))] :
( ( c_2Eoption_2EOPTREL_2E3(X0,X0,X47,c_2Eoption_2ESOME_2E1(X0,X11),c_2Eoption_2ESOME_2E1(X0,X46)) = app_2E2(X0,tyop_2Emin_2Ebool,app_2E2(X0,tyop_2Emin_2Efun(X0,tyop_2Emin_2Ebool),X47,X11),X46) )
& ( c_2Ebool_2EF_2E0 = c_2Eoption_2EOPTREL_2E3(X0,X0,X47,c_2Eoption_2ENONE_2E0(X0),c_2Eoption_2ESOME_2E1(X0,X46)) )
& ( c_2Ebool_2EF_2E0 = c_2Eoption_2EOPTREL_2E3(X0,X0,X47,c_2Eoption_2ESOME_2E1(X0,X11),c_2Eoption_2ENONE_2E0(X0)) )
& ( c_2Ebool_2ET_2E0 = c_2Eoption_2EOPTREL_2E3(X0,X0,X47,c_2Eoption_2ENONE_2E0(X0),c_2Eoption_2ENONE_2E0(X0)) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',thm_2Equotient__option_2EOPTION__REL__def) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : ITP011_3 : TPTP v8.2.0. Bugfixed v7.5.0.
% 0.07/0.14 % 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
% 0.15/0.35 % Computer : n017.cluster.edu
% 0.15/0.35 % Model : x86_64 x86_64
% 0.15/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.35 % Memory : 8042.1875MB
% 0.15/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.15/0.35 % CPULimit : 300
% 0.15/0.35 % WCLimit : 300
% 0.15/0.35 % DateTime : Sat May 18 17:55:08 EDT 2024
% 0.15/0.36 % CPUTime :
% 0.15/0.36 This is a TF1_THM_EQU_NAR problem
% 0.15/0.36 Running 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 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.57/0.73 % (5332)lrs-21_1:1_to=lpo:sil=2000:sp=frequency:sos=on:lma=on:i=56:sd=2:ss=axioms:ep=R_0 on theBenchmark for (2996ds/56Mi)
% 0.57/0.74 % (5325)dis-1011_2:1_sil=2000:lsd=20:nwc=5.0:flr=on:mep=off:st=3.0:i=34:sd=1:ep=RS:ss=axioms_0 on theBenchmark for (2996ds/34Mi)
% 0.57/0.74 % (5328)ott+1011_1:1_sil=2000:urr=on:i=33:sd=1:kws=inv_frequency:ss=axioms:sup=off_0 on theBenchmark for (2996ds/33Mi)
% 0.57/0.74 % (5327)lrs+1011_1:1_sil=8000:sp=occurrence:nwc=10.0:i=78:ss=axioms:sgt=8_0 on theBenchmark for (2996ds/78Mi)
% 0.57/0.74 % (5326)lrs+1011_461:32768_sil=16000:irw=on:sp=frequency:lsd=20:fd=preordered:nwc=10.0:s2agt=32:alpa=false:cond=fast:s2a=on:i=51:s2at=3.0:awrs=decay:awrsf=691:bd=off:nm=20:fsr=off:amm=sco:uhcvi=on:rawr=on_0 on theBenchmark for (2996ds/51Mi)
% 0.57/0.74 % (5330)lrs+1002_1:16_to=lpo:sil=32000:sp=unary_frequency:sos=on:i=45:bd=off:ss=axioms_0 on theBenchmark for (2996ds/45Mi)
% 0.57/0.74 % (5329)lrs+2_1:1_sil=16000:fde=none:sos=all:nwc=5.0:i=34:ep=RS:s2pl=on:lma=on:afp=100000_0 on theBenchmark for (2996ds/34Mi)
% 0.57/0.74 % (5331)lrs+21_1:5_sil=2000:sos=on:urr=on:newcnf=on:slsq=on:i=83:slsql=off:bd=off:nm=2:ss=axioms:st=1.5:sp=const_min:gsp=on:rawr=on_0 on theBenchmark for (2996ds/83Mi)
% 0.57/0.74 % (5332)Refutation not found, incomplete strategy% (5332)------------------------------
% 0.57/0.74 % (5332)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.57/0.74 % (5332)Termination reason: Refutation not found, incomplete strategy
% 0.57/0.74
% 0.57/0.74 % (5332)Memory used [KB]: 1090
% 0.57/0.74 % (5332)Time elapsed: 0.003 s
% 0.57/0.74 % (5332)Instructions burned: 5 (million)
% 0.57/0.74 % (5332)------------------------------
% 0.57/0.74 % (5332)------------------------------
% 0.57/0.74 % (5331)WARNING: Not using newCnf currently not compatible with polymorphic/higher-order inputs.
% 0.57/0.74 % (5331)WARNING: Not using GeneralSplitting currently not compatible with polymorphic/higher-order inputs.
% 0.57/0.74 % (5333)lrs+21_1:16_sil=2000:sp=occurrence:urr=on:flr=on:i=55:sd=1:nm=0:ins=3:ss=included:rawr=on:br=off_0 on theBenchmark for (2996ds/55Mi)
% 0.57/0.74 % (5328)Refutation not found, incomplete strategy% (5328)------------------------------
% 0.57/0.74 % (5328)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.57/0.74 % (5328)Termination reason: Refutation not found, incomplete strategy
% 0.57/0.74
% 0.57/0.74 % (5328)Memory used [KB]: 1106
% 0.57/0.74 % (5328)Time elapsed: 0.005 s
% 0.57/0.74 % (5328)Instructions burned: 6 (million)
% 0.57/0.74 % (5328)------------------------------
% 0.57/0.74 % (5328)------------------------------
% 0.57/0.74 % (5329)Refutation not found, incomplete strategy% (5329)------------------------------
% 0.57/0.74 % (5329)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.57/0.74 % (5329)Termination reason: Refutation not found, incomplete strategy
% 0.57/0.74
% 0.57/0.74 % (5329)Memory used [KB]: 1211
% 0.57/0.74 % (5329)Time elapsed: 0.007 s
% 0.57/0.74 % (5329)Instructions burned: 11 (million)
% 0.57/0.74 % (5329)------------------------------
% 0.57/0.74 % (5329)------------------------------
% 0.57/0.74 % (5334)dis+3_25:4_sil=16000:sos=all:erd=off:i=50:s2at=4.0:bd=off:nm=60:sup=off:cond=on:av=off:ins=2:nwc=10.0:etr=on:to=lpo:s2agt=20:fd=off:bsr=unit_only:slsq=on:slsqr=28,19:awrs=converge:awrsf=500:tgt=ground:bs=unit_only_0 on theBenchmark for (2996ds/50Mi)
% 0.57/0.75 % (5335)lrs+1010_1:2_sil=4000:tgt=ground:nwc=10.0:st=2.0:i=208:sd=1:bd=off:ss=axioms_0 on theBenchmark for (2996ds/208Mi)
% 0.57/0.75 % (5334)Refutation not found, incomplete strategy% (5334)------------------------------
% 0.57/0.75 % (5334)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.57/0.75 % (5334)Termination reason: Refutation not found, incomplete strategy
% 0.57/0.75
% 0.57/0.75 % (5334)Memory used [KB]: 1200
% 0.57/0.75 % (5334)Time elapsed: 0.007 s
% 0.57/0.75 % (5334)Instructions burned: 11 (million)
% 0.57/0.75 % (5334)------------------------------
% 0.57/0.75 % (5334)------------------------------
% 0.57/0.75 % (5325)Instruction limit reached!
% 0.57/0.75 % (5325)------------------------------
% 0.57/0.75 % (5325)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.57/0.75 % (5325)Termination reason: Unknown
% 0.57/0.75 % (5325)Termination phase: Saturation
% 0.57/0.75
% 0.57/0.75 % (5325)Memory used [KB]: 1737
% 0.57/0.75 % (5325)Time elapsed: 0.020 s
% 0.57/0.75 % (5325)Instructions burned: 35 (million)
% 0.57/0.75 % (5325)------------------------------
% 0.57/0.75 % (5325)------------------------------
% 0.57/0.75 % (5336)lrs-1011_1:1_sil=4000:plsq=on:plsqr=32,1:sp=frequency:plsql=on:nwc=10.0:i=52:aac=none:afr=on:ss=axioms:er=filter:sgt=16:rawr=on:etr=on:lma=on_0 on theBenchmark for (2996ds/52Mi)
% 0.57/0.76 % (5333)Instruction limit reached!
% 0.57/0.76 % (5333)------------------------------
% 0.57/0.76 % (5333)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.57/0.76 % (5333)Termination reason: Unknown
% 0.57/0.76 % (5333)Termination phase: Saturation
% 0.57/0.76
% 0.57/0.76 % (5333)Memory used [KB]: 1491
% 0.57/0.76 % (5333)Time elapsed: 0.018 s
% 0.57/0.76 % (5333)Instructions burned: 55 (million)
% 0.57/0.76 % (5333)------------------------------
% 0.57/0.76 % (5333)------------------------------
% 0.57/0.76 % (5330)Instruction limit reached!
% 0.57/0.76 % (5330)------------------------------
% 0.57/0.76 % (5330)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.57/0.76 % (5337)lrs-1010_1:1_to=lpo:sil=2000:sp=reverse_arity:sos=on:urr=ec_only:i=518:sd=2:bd=off:ss=axioms:sgt=16_0 on theBenchmark for (2996ds/518Mi)
% 0.57/0.76 % (5330)Termination reason: Unknown
% 0.57/0.76 % (5330)Termination phase: Saturation
% 0.57/0.76
% 0.57/0.76 % (5330)Memory used [KB]: 1312
% 0.57/0.76 % (5330)Time elapsed: 0.024 s
% 0.57/0.76 % (5330)Instructions burned: 47 (million)
% 0.57/0.76 % (5330)------------------------------
% 0.57/0.76 % (5330)------------------------------
% 0.57/0.76 % (5338)lrs+1011_87677:1048576_sil=8000:sos=on:spb=non_intro:nwc=10.0:kmz=on:i=42:ep=RS:nm=0:ins=1:uhcvi=on:rawr=on:fde=unused:afp=2000:afq=1.444:plsq=on:nicw=on_0 on theBenchmark for (2996ds/42Mi)
% 0.57/0.76 % (5338)Refutation not found, incomplete strategy% (5338)------------------------------
% 0.57/0.76 % (5338)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.57/0.76 % (5338)Termination reason: Refutation not found, incomplete strategy
% 0.57/0.76
% 0.57/0.76 % (5338)Memory used [KB]: 1167
% 0.57/0.76 % (5338)Time elapsed: 0.004 s
% 0.57/0.76 % (5338)Instructions burned: 10 (million)
% 0.57/0.76 % (5338)------------------------------
% 0.57/0.76 % (5338)------------------------------
% 0.57/0.76 % (5339)dis+1011_1258907:1048576_bsr=unit_only:to=lpo:drc=off:sil=2000:tgt=full:fde=none:sp=frequency:spb=goal:rnwc=on:nwc=6.70083:sac=on:newcnf=on:st=2:i=243:bs=unit_only:sd=3:afp=300:awrs=decay:awrsf=218:nm=16:ins=3:afq=3.76821:afr=on:ss=axioms:sgt=5:rawr=on:add=off:bsd=on_0 on theBenchmark for (2996ds/243Mi)
% 0.57/0.76 % (5339)WARNING: Not using newCnf currently not compatible with polymorphic/higher-order inputs.
% 0.57/0.76 % (5340)lrs+1011_2:9_sil=2000:lsd=10:newcnf=on:i=117:sd=2:awrs=decay:ss=included:amm=off:ep=R_0 on theBenchmark for (2996ds/117Mi)
% 0.57/0.76 % (5340)WARNING: Not using newCnf currently not compatible with polymorphic/higher-order inputs.
% 0.57/0.77 % (5326)Instruction limit reached!
% 0.57/0.77 % (5326)------------------------------
% 0.57/0.77 % (5326)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.57/0.77 % (5326)Termination reason: Unknown
% 0.57/0.77 % (5326)Termination phase: Saturation
% 0.57/0.77
% 0.57/0.77 % (5326)Memory used [KB]: 1668
% 0.57/0.77 % (5326)Time elapsed: 0.033 s
% 0.57/0.77 % (5326)Instructions burned: 52 (million)
% 0.57/0.77 % (5326)------------------------------
% 0.57/0.77 % (5326)------------------------------
% 0.57/0.77 % (5341)dis+1011_11:1_sil=2000:avsq=on:i=143:avsqr=1,16:ep=RS:rawr=on:aac=none:lsd=100:mep=off:fde=none:newcnf=on:bsr=unit_only_0 on theBenchmark for (2996ds/143Mi)
% 0.57/0.77 % (5341)WARNING: Not using newCnf currently not compatible with polymorphic/higher-order inputs.
% 0.57/0.78 % (5327)Instruction limit reached!
% 0.57/0.78 % (5327)------------------------------
% 0.57/0.78 % (5327)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.57/0.78 % (5327)Termination reason: Unknown
% 0.57/0.78 % (5327)Termination phase: Saturation
% 0.57/0.78
% 0.57/0.78 % (5327)Memory used [KB]: 1417
% 0.57/0.78 % (5327)Time elapsed: 0.042 s
% 0.57/0.78 % (5327)Instructions burned: 80 (million)
% 0.57/0.78 % (5327)------------------------------
% 0.57/0.78 % (5327)------------------------------
% 0.57/0.78 % (5331)Instruction limit reached!
% 0.57/0.78 % (5331)------------------------------
% 0.57/0.78 % (5331)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.57/0.78 % (5331)Termination reason: Unknown
% 0.57/0.78 % (5331)Termination phase: Saturation
% 0.57/0.78
% 0.57/0.78 % (5331)Memory used [KB]: 1550
% 0.57/0.78 % (5331)Time elapsed: 0.044 s
% 0.57/0.78 % (5331)Instructions burned: 83 (million)
% 0.57/0.78 % (5331)------------------------------
% 0.57/0.78 % (5331)------------------------------
% 0.57/0.78 % (5342)lrs+1011_1:2_to=lpo:sil=8000:plsqc=1:plsq=on:plsqr=326,59:sp=weighted_frequency:plsql=on:nwc=10.0:newcnf=on:i=93:awrs=converge:awrsf=200:bd=off:ins=1:rawr=on:alpa=false:avsq=on:avsqr=1,16_0 on theBenchmark for (2995ds/93Mi)
% 0.81/0.78 % (5342)WARNING: Not using newCnf currently not compatible with polymorphic/higher-order inputs.
% 0.81/0.78 % (5343)lrs+1666_1:1_sil=4000:sp=occurrence:sos=on:urr=on:newcnf=on:i=62:amm=off:ep=R:erd=off:nm=0:plsq=on:plsqr=14,1_0 on theBenchmark for (2995ds/62Mi)
% 0.81/0.78 % (5343)WARNING: Not using newCnf currently not compatible with polymorphic/higher-order inputs.
% 0.81/0.78 % (5336)Instruction limit reached!
% 0.81/0.78 % (5336)------------------------------
% 0.81/0.78 % (5336)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.81/0.78 % (5336)Termination reason: Unknown
% 0.81/0.78 % (5336)Termination phase: Saturation
% 0.81/0.78
% 0.81/0.78 % (5336)Memory used [KB]: 1413
% 0.81/0.78 % (5336)Time elapsed: 0.031 s
% 0.81/0.78 % (5336)Instructions burned: 53 (million)
% 0.81/0.78 % (5336)------------------------------
% 0.81/0.78 % (5336)------------------------------
% 0.81/0.79 % (5344)lrs+21_2461:262144_anc=none:drc=off:sil=2000:sp=occurrence:nwc=6.0:updr=off:st=3.0:i=32:sd=2:afp=4000:erml=3:nm=14:afq=2.0:uhcvi=on:ss=included:er=filter:abs=on:nicw=on:ile=on:sims=off:s2a=on:s2agt=50:s2at=-1.0:plsq=on:plsql=on:plsqc=2:plsqr=1,32:newcnf=on:bd=off:to=lpo_0 on theBenchmark for (2995ds/32Mi)
% 0.81/0.79 % (5344)WARNING: Not using newCnf currently not compatible with polymorphic/higher-order inputs.
% 0.81/0.80 % (5340)Instruction limit reached!
% 0.81/0.80 % (5340)------------------------------
% 0.81/0.80 % (5340)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.81/0.80 % (5340)Termination reason: Unknown
% 0.81/0.80 % (5340)Termination phase: Saturation
% 0.81/0.80
% 0.81/0.80 % (5340)Memory used [KB]: 2984
% 0.81/0.80 % (5340)Time elapsed: 0.033 s
% 0.81/0.80 % (5340)Instructions burned: 120 (million)
% 0.81/0.80 % (5340)------------------------------
% 0.81/0.80 % (5340)------------------------------
% 0.81/0.80 % (5345)dis+1011_1:1_sil=16000:nwc=7.0:s2agt=64:s2a=on:i=1919:ss=axioms:sgt=8:lsd=50:sd=7_0 on theBenchmark for (2995ds/1919Mi)
% 0.81/0.80 % (5341)Refutation not found, incomplete strategy% (5341)------------------------------
% 0.81/0.80 % (5341)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.81/0.80 % (5341)Termination reason: Refutation not found, incomplete strategy
% 0.81/0.80
% 0.81/0.80 % (5341)Memory used [KB]: 1470
% 0.81/0.80 % (5341)Time elapsed: 0.030 s
% 0.81/0.80 % (5341)Instructions burned: 47 (million)
% 0.81/0.80 % (5341)------------------------------
% 0.81/0.80 % (5341)------------------------------
% 0.81/0.80 % (5346)ott-32_5:1_sil=4000:sp=occurrence:urr=full:rp=on:nwc=5.0:newcnf=on:st=5.0:s2pl=on:i=55:sd=2:ins=2:ss=included:rawr=on:anc=none:sos=on:s2agt=8:spb=intro:ep=RS:avsq=on:avsqr=27,155:lma=on_0 on theBenchmark for (2995ds/55Mi)
% 0.81/0.81 % (5346)WARNING: Not using newCnf currently not compatible with polymorphic/higher-order inputs.
% 0.81/0.81 % (5344)Instruction limit reached!
% 0.81/0.81 % (5344)------------------------------
% 0.81/0.81 % (5344)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.81/0.81 % (5344)Termination reason: Unknown
% 0.81/0.81 % (5344)Termination phase: Saturation
% 0.81/0.81
% 0.81/0.81 % (5344)Memory used [KB]: 1330
% 0.81/0.81 % (5344)Time elapsed: 0.020 s
% 0.81/0.81 % (5344)Instructions burned: 33 (million)
% 0.81/0.81 % (5344)------------------------------
% 0.81/0.81 % (5344)------------------------------
% 0.81/0.81 % (5347)lrs-1011_1:1_sil=2000:sos=on:urr=on:i=53:sd=1:bd=off:ins=3:av=off:ss=axioms:sgt=16:gsp=on:lsd=10_0 on theBenchmark for (2995ds/53Mi)
% 0.81/0.81 % (5346)Refutation not found, incomplete strategy% (5346)------------------------------
% 0.81/0.81 % (5346)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.81/0.81 % (5346)Termination reason: Refutation not found, incomplete strategy
% 0.81/0.81
% 0.81/0.81 % (5346)Memory used [KB]: 1211
% 0.81/0.81 % (5346)Time elapsed: 0.008 s
% 0.81/0.81 % (5346)Instructions burned: 13 (million)
% 0.81/0.81 % (5346)------------------------------
% 0.81/0.81 % (5346)------------------------------
% 0.81/0.81 % (5343)Instruction limit reached!
% 0.81/0.81 % (5343)------------------------------
% 0.81/0.81 % (5343)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.81/0.81 % (5343)Termination reason: Unknown
% 0.81/0.81 % (5347)WARNING: Not using GeneralSplitting currently not compatible with polymorphic/higher-order inputs.
% 0.81/0.81 % (5343)Termination phase: Saturation
% 0.81/0.81
% 0.81/0.81 % (5343)Memory used [KB]: 2195
% 0.81/0.81 % (5343)Time elapsed: 0.033 s
% 0.81/0.81 % (5343)Instructions burned: 62 (million)
% 0.81/0.81 % (5343)------------------------------
% 0.81/0.81 % (5343)------------------------------
% 0.81/0.82 % (5348)lrs+1011_6929:65536_anc=all_dependent:sil=2000:fde=none:plsqc=1:plsq=on:plsqr=19,8:plsql=on:nwc=3.0:i=46:afp=4000:ep=R:nm=3:fsr=off:afr=on:aer=off:gsp=on_0 on theBenchmark for (2995ds/46Mi)
% 0.81/0.82 % (5349)dis+10_3:31_sil=2000:sp=frequency:abs=on:acc=on:lcm=reverse:nwc=3.0:alpa=random:st=3.0:i=102:sd=1:nm=4:ins=1:aer=off:ss=axioms_0 on theBenchmark for (2995ds/102Mi)
% 0.81/0.82 % (5348)WARNING: Not using GeneralSplitting currently not compatible with polymorphic/higher-order inputs.
% 0.81/0.82 % (5347)Refutation not found, incomplete strategy% (5347)------------------------------
% 0.81/0.82 % (5347)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.81/0.82 % (5347)Termination reason: Refutation not found, incomplete strategy
% 0.81/0.82
% 0.81/0.82 % (5347)Memory used [KB]: 1188
% 0.81/0.82 % (5347)Time elapsed: 0.010 s
% 0.81/0.82 % (5347)Instructions burned: 15 (million)
% 0.81/0.82 % (5347)------------------------------
% 0.81/0.82 % (5347)------------------------------
% 0.81/0.82 % (5350)ott+1011_9:29_slsqr=3,2:sil=2000:tgt=ground:lsd=10:lcm=predicate:avsqc=4:slsq=on:avsq=on:i=35:s2at=4.0:add=large:sd=1:avsqr=1,16:aer=off:ss=axioms:sgt=100:rawr=on:s2a=on:sac=on:afp=1:nwc=10.0:nm=64:bd=preordered:abs=on:rnwc=on:er=filter:nicw=on:spb=non_intro:lma=on_0 on theBenchmark for (2995ds/35Mi)
% 0.81/0.83 % (5348)Refutation not found, incomplete strategy% (5348)------------------------------
% 0.81/0.83 % (5348)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.81/0.83 % (5348)Termination reason: Refutation not found, incomplete strategy
% 0.81/0.83
% 0.81/0.83 % (5348)Memory used [KB]: 1265
% 0.81/0.83 % (5348)Time elapsed: 0.012 s
% 0.81/0.83 % (5348)Instructions burned: 17 (million)
% 0.81/0.83 % (5348)------------------------------
% 0.81/0.83 % (5348)------------------------------
% 0.81/0.83 % (5351)dis+1003_1:1024_sil=4000:urr=on:newcnf=on:i=87:av=off:fsr=off:bce=on_0 on theBenchmark for (2995ds/87Mi)
% 0.81/0.83 % (5342)Instruction limit reached!
% 0.81/0.83 % (5342)------------------------------
% 0.81/0.83 % (5342)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.81/0.83 % (5342)Termination reason: Unknown
% 0.81/0.83 % (5342)Termination phase: Saturation
% 0.81/0.83
% 0.81/0.83 % (5342)Memory used [KB]: 1665
% 0.81/0.83 % (5342)Time elapsed: 0.053 s
% 0.81/0.83 % (5342)Instructions burned: 93 (million)
% 0.81/0.83 % (5342)------------------------------
% 0.81/0.83 % (5342)------------------------------
% 0.81/0.83 % (5351)WARNING: Not using newCnf currently not compatible with polymorphic/higher-order inputs.
% 0.81/0.84 % (5352)dis+1010_12107:524288_anc=none:drc=encompass:sil=2000:bsd=on:rp=on:nwc=10.0:alpa=random:i=109:kws=precedence:awrs=decay:awrsf=2:nm=16:ins=3:rawr=on:s2a=on:s2at=4.5:acc=on:flr=on_0 on theBenchmark for (2995ds/109Mi)
% 0.81/0.84 % (5350)Instruction limit reached!
% 0.81/0.84 % (5350)------------------------------
% 0.81/0.84 % (5350)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.81/0.84 % (5350)Termination reason: Unknown
% 0.81/0.84 % (5350)Termination phase: Saturation
% 0.81/0.84
% 0.81/0.84 % (5350)Memory used [KB]: 1348
% 0.81/0.84 % (5350)Time elapsed: 0.021 s
% 0.81/0.84 % (5350)Instructions burned: 36 (million)
% 0.81/0.84 % (5350)------------------------------
% 0.81/0.84 % (5350)------------------------------
% 0.81/0.84 % (5335)Instruction limit reached!
% 0.81/0.84 % (5335)------------------------------
% 0.81/0.84 % (5335)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.81/0.84 % (5335)Termination reason: Unknown
% 0.81/0.84 % (5335)Termination phase: Saturation
% 0.81/0.84
% 0.81/0.84 % (5335)Memory used [KB]: 1626
% 0.81/0.84 % (5335)Time elapsed: 0.101 s
% 0.81/0.84 % (5335)Instructions burned: 209 (million)
% 0.81/0.84 % (5335)------------------------------
% 0.81/0.84 % (5335)------------------------------
% 0.81/0.85 % (5353)lrs+1002_1:16_sil=2000:sp=occurrence:sos=on:i=161:aac=none:bd=off:ss=included:sd=5:st=2.5:sup=off_0 on theBenchmark for (2995ds/161Mi)
% 0.81/0.85 % (5354)lrs-1002_2:9_anc=none:sil=2000:plsqc=1:plsq=on:avsql=on:plsqr=2859761,1048576:erd=off:rp=on:nwc=21.7107:newcnf=on:avsq=on:i=69:aac=none:avsqr=6317,1048576:ep=RS:fsr=off:rawr=on:afp=50:afq=2.133940627822616:sac=on_0 on theBenchmark for (2995ds/69Mi)
% 0.81/0.85 % (5354)WARNING: Not using newCnf currently not compatible with polymorphic/higher-order inputs.
% 0.81/0.85 % (5353)Refutation not found, incomplete strategy% (5353)------------------------------
% 0.81/0.85 % (5353)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.81/0.85 % (5353)Termination reason: Refutation not found, incomplete strategy
% 0.81/0.85
% 0.81/0.85 % (5353)Memory used [KB]: 1170
% 0.81/0.85 % (5353)Time elapsed: 0.007 s
% 0.81/0.85 % (5353)Instructions burned: 9 (million)
% 0.81/0.85 % (5353)------------------------------
% 0.81/0.85 % (5353)------------------------------
% 0.81/0.86 % (5355)lrs+1010_1:512_sil=8000:tgt=ground:spb=units:gs=on:lwlo=on:nicw=on:gsem=on:st=1.5:i=40:nm=21:ss=included:nwc=5.3:afp=4000:afq=1.38:ins=1:bs=unit_only:awrs=converge:awrsf=10:bce=on_0 on theBenchmark for (2995ds/40Mi)
% 1.20/0.86 % (5349)Instruction limit reached!
% 1.20/0.86 % (5349)------------------------------
% 1.20/0.86 % (5349)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 1.20/0.86 % (5349)Termination reason: Unknown
% 1.20/0.86 % (5349)Termination phase: Saturation
% 1.20/0.86
% 1.20/0.86 % (5349)Memory used [KB]: 1626
% 1.20/0.86 % (5349)Time elapsed: 0.046 s
% 1.20/0.86 % (5349)Instructions burned: 104 (million)
% 1.20/0.86 % (5349)------------------------------
% 1.20/0.86 % (5349)------------------------------
% 1.20/0.86 % (5356)ott+1011_1:3_drc=off:sil=4000:tgt=ground:fde=unused:plsq=on:sp=unary_first:fd=preordered:nwc=10.0:i=360:ins=1:rawr=on:bd=preordered_0 on theBenchmark for (2995ds/360Mi)
% 1.20/0.87 % (5351)Instruction limit reached!
% 1.20/0.87 % (5351)------------------------------
% 1.20/0.87 % (5351)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 1.20/0.87 % (5351)Termination reason: Unknown
% 1.20/0.87 % (5351)Termination phase: Saturation
% 1.20/0.87
% 1.20/0.87 % (5351)Memory used [KB]: 1599
% 1.20/0.87 % (5351)Time elapsed: 0.039 s
% 1.20/0.87 % (5351)Instructions burned: 89 (million)
% 1.20/0.87 % (5351)------------------------------
% 1.20/0.87 % (5351)------------------------------
% 1.20/0.87 % (5357)dis+10_1:4_to=lpo:sil=2000:sos=on:spb=goal:rp=on:sac=on:newcnf=on:i=161:ss=axioms:aac=none_0 on theBenchmark for (2995ds/161Mi)
% 1.20/0.87 % (5357)WARNING: Not using newCnf currently not compatible with polymorphic/higher-order inputs.
% 1.20/0.87 % (5355)Instruction limit reached!
% 1.20/0.87 % (5355)------------------------------
% 1.20/0.87 % (5355)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 1.20/0.87 % (5355)Termination reason: Unknown
% 1.20/0.87 % (5355)Termination phase: Saturation
% 1.20/0.87
% 1.20/0.87 % (5355)Memory used [KB]: 1567
% 1.20/0.87 % (5355)Time elapsed: 0.017 s
% 1.20/0.87 % (5355)Instructions burned: 41 (million)
% 1.20/0.87 % (5355)------------------------------
% 1.20/0.87 % (5355)------------------------------
% 1.20/0.87 % (5357)Refutation not found, incomplete strategy% (5357)------------------------------
% 1.20/0.87 % (5357)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 1.20/0.87 % (5357)Termination reason: Refutation not found, incomplete strategy
% 1.20/0.87
% 1.20/0.87 % (5357)Memory used [KB]: 1160
% 1.20/0.87 % (5357)Time elapsed: 0.003 s
% 1.20/0.87 % (5357)Instructions burned: 6 (million)
% 1.20/0.87 % (5357)------------------------------
% 1.20/0.87 % (5357)------------------------------
% 1.20/0.87 % (5358)lrs+1011_1:20_sil=4000:tgt=ground:i=80:sd=1:bd=off:nm=32:av=off:ss=axioms:lsd=60_0 on theBenchmark for (2995ds/80Mi)
% 1.31/0.87 % (5359)lrs+11_1:2_slsqr=1,2:sil=2000:sp=const_frequency:kmz=on:newcnf=on:slsq=on:i=37:s2at=1.5:awrs=converge:nm=2:uhcvi=on:ss=axioms:sgt=20:afp=10000:fs=off:fsr=off:bd=off:s2agt=5:fd=off:add=off:erd=off:foolp=on:nwc=10.0:rp=on_0 on theBenchmark for (2995ds/37Mi)
% 1.31/0.88 % (5359)WARNING: Not using newCnf currently not compatible with polymorphic/higher-order inputs.
% 1.31/0.88 % (5354)Instruction limit reached!
% 1.31/0.88 % (5354)------------------------------
% 1.31/0.88 % (5354)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 1.31/0.88 % (5354)Termination reason: Unknown
% 1.31/0.88 % (5354)Termination phase: Saturation
% 1.31/0.88
% 1.31/0.88 % (5354)Memory used [KB]: 1870
% 1.31/0.88 % (5354)Time elapsed: 0.030 s
% 1.31/0.88 % (5354)Instructions burned: 69 (million)
% 1.31/0.88 % (5354)------------------------------
% 1.31/0.88 % (5354)------------------------------
% 1.31/0.88 % (5352)Instruction limit reached!
% 1.31/0.88 % (5352)------------------------------
% 1.31/0.88 % (5352)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 1.31/0.88 % (5352)Termination reason: Unknown
% 1.31/0.88 % (5352)Termination phase: Saturation
% 1.31/0.88
% 1.31/0.88 % (5352)Memory used [KB]: 1836
% 1.31/0.88 % (5352)Time elapsed: 0.045 s
% 1.31/0.88 % (5352)Instructions burned: 111 (million)
% 1.31/0.88 % (5352)------------------------------
% 1.31/0.88 % (5352)------------------------------
% 1.31/0.88 % (5360)lrs+1011_1:2_drc=encompass:sil=4000:fde=unused:sos=on:sac=on:newcnf=on:i=55:sd=10:bd=off:ins=1:uhcvi=on:ss=axioms:spb=non_intro:st=3.0:erd=off:s2a=on:nwc=3.0_0 on theBenchmark for (2995ds/55Mi)
% 1.31/0.88 % (5360)WARNING: Not using newCnf currently not compatible with polymorphic/higher-order inputs.
% 1.31/0.88 % (5339)Instruction limit reached!
% 1.31/0.88 % (5339)------------------------------
% 1.31/0.88 % (5339)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 1.31/0.88 % (5339)Termination reason: Unknown
% 1.31/0.88 % (5339)Termination phase: Saturation
% 1.31/0.88
% 1.31/0.88 % (5339)Memory used [KB]: 2058
% 1.31/0.88 % (5339)Time elapsed: 0.121 s
% 1.31/0.88 % (5339)Instructions burned: 245 (million)
% 1.31/0.88 % (5339)------------------------------
% 1.31/0.88 % (5339)------------------------------
% 1.31/0.88 % (5361)dis-1011_1:32_to=lpo:drc=off:sil=2000:sp=reverse_arity:sos=on:foolp=on:lsd=20:nwc=1.49509792053687:s2agt=30:avsq=on:s2a=on:s2pl=no:i=47:s2at=5.0:avsqr=5593,1048576:nm=0:fsr=off:amm=sco:rawr=on:awrs=converge:awrsf=427:ss=included:sd=1:slsq=on:fd=off_0 on theBenchmark for (2995ds/47Mi)
% 1.31/0.88 % (5360)Refutation not found, incomplete strategy% (5360)------------------------------
% 1.31/0.88 % (5360)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 1.31/0.88 % (5360)Termination reason: Refutation not found, incomplete strategy
% 1.31/0.88
% 1.31/0.88 % (5360)Memory used [KB]: 1180
% 1.31/0.88 % (5360)Time elapsed: 0.004 s
% 1.31/0.88 % (5360)Instructions burned: 11 (million)
% 1.31/0.88 % (5360)------------------------------
% 1.31/0.88 % (5360)------------------------------
% 1.31/0.88 % (5362)lrs+10_1:1024_sil=2000:st=2.0:i=32:sd=2:ss=included:ep=R_0 on theBenchmark for (2994ds/32Mi)
% 1.31/0.89 % (5363)dis+1011_1:1_sil=4000:s2agt=4:slsqc=3:slsq=on:i=132:bd=off:av=off:sup=off:ss=axioms:st=3.0_0 on theBenchmark for (2994ds/132Mi)
% 1.31/0.89 % (5359)Instruction limit reached!
% 1.31/0.89 % (5359)------------------------------
% 1.31/0.89 % (5359)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 1.31/0.89 % (5359)Termination reason: Unknown
% 1.31/0.89 % (5359)Termination phase: Saturation
% 1.31/0.89
% 1.31/0.89 % (5359)Memory used [KB]: 1746
% 1.31/0.89 % (5359)Time elapsed: 0.035 s
% 1.31/0.89 % (5359)Instructions burned: 37 (million)
% 1.31/0.89 % (5359)------------------------------
% 1.31/0.89 % (5359)------------------------------
% 1.31/0.89 % (5363)Refutation not found, incomplete strategy% (5363)------------------------------
% 1.31/0.89 % (5363)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 1.31/0.89 % (5363)Termination reason: Refutation not found, incomplete strategy
% 1.31/0.89
% 1.31/0.89 % (5363)Memory used [KB]: 1126
% 1.31/0.89 % (5363)Time elapsed: 0.026 s
% 1.31/0.89 % (5363)Instructions burned: 10 (million)
% 1.31/0.89 % (5363)------------------------------
% 1.31/0.89 % (5363)------------------------------
% 1.31/0.89 % (5364)dis-1011_1:1024_sil=2000:fde=unused:sos=on:nwc=10.0:i=54:uhcvi=on:ss=axioms:ep=RS:av=off:sp=occurrence:fsr=off:awrs=decay:awrsf=200_0 on theBenchmark for (2994ds/54Mi)
% 1.31/0.89 % (5364)Refutation not found, incomplete strategy% (5364)------------------------------
% 1.31/0.89 % (5364)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 1.31/0.89 % (5364)Termination reason: Refutation not found, incomplete strategy
% 1.31/0.89
% 1.31/0.89 % (5364)Memory used [KB]: 1093
% 1.31/0.89 % (5364)Time elapsed: 0.002 s
% 1.31/0.89 % (5364)Instructions burned: 5 (million)
% 1.31/0.89 % (5364)------------------------------
% 1.31/0.89 % (5364)------------------------------
% 1.31/0.89 % (5365)lrs+1011_1:2_to=lpo:drc=off:sil=2000:sp=const_min:urr=on:lcm=predicate:nwc=16.7073:updr=off:newcnf=on:i=82:av=off:rawr=on:ss=included:st=5.0:erd=off:flr=on_0 on theBenchmark for (2994ds/82Mi)
% 1.31/0.89 % (5365)WARNING: Not using newCnf currently not compatible with polymorphic/higher-order inputs.
% 1.31/0.89 % (5358)Instruction limit reached!
% 1.31/0.89 % (5358)------------------------------
% 1.31/0.89 % (5358)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 1.31/0.89 % (5358)Termination reason: Unknown
% 1.31/0.89 % (5358)Termination phase: Saturation
% 1.31/0.89
% 1.31/0.89 % (5358)Memory used [KB]: 1201
% 1.31/0.89 % (5358)Time elapsed: 0.022 s
% 1.31/0.89 % (5358)Instructions burned: 83 (million)
% 1.31/0.89 % (5358)------------------------------
% 1.31/0.89 % (5358)------------------------------
% 1.31/0.89 % (5366)lrs+11_1:32_sil=2000:sp=occurrence:lsd=20:rp=on:i=119:sd=1:nm=0:av=off:ss=included:nwc=10.0:flr=on_0 on theBenchmark for (2994ds/119Mi)
% 1.31/0.89 % (5362)Instruction limit reached!
% 1.31/0.89 % (5362)------------------------------
% 1.31/0.89 % (5362)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 1.31/0.89 % (5362)Termination reason: Unknown
% 1.31/0.89 % (5362)Termination phase: Saturation
% 1.31/0.89
% 1.31/0.89 % (5362)Memory used [KB]: 1426
% 1.31/0.89 % (5362)Time elapsed: 0.034 s
% 1.31/0.89 % (5362)Instructions burned: 32 (million)
% 1.31/0.89 % (5362)------------------------------
% 1.31/0.89 % (5362)------------------------------
% 1.31/0.90 % (5367)ott+1002_2835555:1048576_to=lpo:sil=2000:sos=on:fs=off:nwc=10.3801:avsqc=3:updr=off:avsq=on:st=2:s2a=on:i=177:s2at=3:afp=10000:aac=none:avsqr=13357983,1048576:awrs=converge:awrsf=460:bd=off:nm=13:ins=2:fsr=off:amm=sco:afq=1.16719:ss=axioms:rawr=on:fd=off_0 on theBenchmark for (2994ds/177Mi)
% 1.31/0.90 % (5368)lrs+1002_263:262144_sfv=off:to=lpo:drc=encompass:sil=2000:tgt=full:fde=none:bsd=on:sp=const_frequency:spb=units:fd=preordered:nwc=12.504039574721643:lwlo=on:i=117:awrs=converge:awrsf=1360:bsdmm=3:bd=off:nm=11:fsd=on:amm=off:uhcvi=on:afr=on:rawr=on:fsdmm=1:updr=off:sac=on:fdi=16_0 on theBenchmark for (2994ds/117Mi)
% 1.31/0.90 % (5361)Instruction limit reached!
% 1.31/0.90 % (5361)------------------------------
% 1.31/0.90 % (5361)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 1.31/0.90 % (5361)Termination reason: Unknown
% 1.31/0.90 % (5361)Termination phase: Saturation
% 1.31/0.90
% 1.31/0.90 % (5361)Memory used [KB]: 1658
% 1.31/0.90 % (5361)Time elapsed: 0.039 s
% 1.31/0.90 % (5361)Instructions burned: 48 (million)
% 1.31/0.90 % (5361)------------------------------
% 1.31/0.90 % (5361)------------------------------
% 1.31/0.90 % Exception at run slice level
% 1.31/0.90 User error: Immediate (shared) subterms of term/literal app_2E2(X2,c_2Ebool_2E_2F_5C_2E0(X0,X1),X3,X4) have different types/not well-typed!
% 1.31/0.90 % (5369)dis+1011_1:128_sil=2000:plsq=on:sp=frequency:plsql=on:nicw=on:i=49:kws=precedence:bd=off:fsr=off:ss=axioms:sgt=64:sd=3_0 on theBenchmark for (2994ds/49Mi)
% 1.31/0.90 % (5370)lrs-1011_8:1_sil=2000:spb=goal:urr=on:sac=on:i=51:afp=10000:fsr=off:ss=axioms:avsq=on:avsqr=17819,524288:bd=off:bsd=on:fd=off:sims=off:rawr=on:alpa=true:bsr=on:aer=off_0 on theBenchmark for (2994ds/51Mi)
% 1.60/0.92 % (5369)Instruction limit reached!
% 1.60/0.92 % (5369)------------------------------
% 1.60/0.92 % (5369)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 1.60/0.92 % (5369)Termination reason: Unknown
% 1.60/0.92 % (5369)Termination phase: Saturation
% 1.60/0.92
% 1.60/0.92 % (5369)Memory used [KB]: 1526
% 1.60/0.92 % (5369)Time elapsed: 0.017 s
% 1.60/0.92 % (5369)Instructions burned: 49 (million)
% 1.60/0.92 % (5369)------------------------------
% 1.60/0.92 % (5369)------------------------------
% 1.60/0.92 % (5370)Instruction limit reached!
% 1.60/0.92 % (5370)------------------------------
% 1.60/0.92 % (5370)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 1.60/0.92 % (5365)Instruction limit reached!
% 1.60/0.92 % (5365)------------------------------
% 1.60/0.92 % (5365)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 1.60/0.92 % (5365)Termination reason: Unknown
% 1.60/0.92 % (5365)Termination phase: Saturation
% 1.60/0.92
% 1.60/0.92 % (5365)Memory used [KB]: 1633
% 1.60/0.92 % (5365)Time elapsed: 0.027 s
% 1.60/0.92 % (5365)Instructions burned: 83 (million)
% 1.60/0.92 % (5365)------------------------------
% 1.60/0.92 % (5365)------------------------------
% 1.60/0.92 % (5370)Termination reason: Unknown
% 1.60/0.92 % (5370)Termination phase: Saturation
% 1.60/0.92
% 1.60/0.92 % (5370)Memory used [KB]: 1345
% 1.60/0.92 % (5370)Time elapsed: 0.017 s
% 1.60/0.92 % (5370)Instructions burned: 52 (million)
% 1.60/0.92 % (5370)------------------------------
% 1.60/0.92 % (5370)------------------------------
% 1.60/0.92 % (5371)lrs+1011_1:1024_sil=8000:sp=unary_first:nwc=10.0:st=3.0:s2a=on:i=149:s2at=5.0:awrs=converge:awrsf=390:ep=R:av=off:ss=axioms:s2agt=32_0 on theBenchmark for (2994ds/149Mi)
% 1.60/0.92 % (5372)lrs+11_10:1_to=lpo:drc=off:sil=4000:sp=const_min:fd=preordered:rp=on:st=3.0:s2a=on:i=56:s2at=2.0:ss=axioms:er=known:sup=off:sd=1_0 on theBenchmark for (2994ds/56Mi)
% 1.60/0.92 % (5373)lrs+1011_4:1_bsr=on:sil=32000:sos=all:urr=on:br=off:s2a=on:i=289:s2at=2.0:bd=off:gsp=on:ss=axioms:sgt=8:sd=1:fsr=off_0 on theBenchmark for (2994ds/289Mi)
% 1.60/0.92 % (5373)WARNING: Not using GeneralSplitting currently not compatible with polymorphic/higher-order inputs.
% 1.60/0.92 % (5371)Refutation not found, incomplete strategy% (5371)------------------------------
% 1.60/0.92 % (5371)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 1.60/0.92 % (5371)Termination reason: Refutation not found, incomplete strategy
% 1.60/0.92
% 1.60/0.92 % (5371)Memory used [KB]: 1186
% 1.60/0.92 % (5371)Time elapsed: 0.005 s
% 1.60/0.92 % (5371)Instructions burned: 13 (million)
% 1.60/0.92 % (5371)------------------------------
% 1.60/0.92 % (5371)------------------------------
% 1.60/0.93 % (5374)ott-1011_16:1_sil=2000:sp=const_max:urr=on:lsd=20:st=3.0:i=206:ss=axioms:gsp=on:rp=on:sos=on:fd=off:aac=none_0 on theBenchmark for (2994ds/206Mi)
% 1.60/0.93 % (5374)WARNING: Not using GeneralSplitting currently not compatible with polymorphic/higher-order inputs.
% 1.60/0.93 % (5366)Instruction limit reached!
% 1.60/0.93 % (5366)------------------------------
% 1.60/0.93 % (5366)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 1.60/0.93 % (5366)Termination reason: Unknown
% 1.60/0.93 % (5366)Termination phase: Saturation
% 1.60/0.93
% 1.60/0.93 % (5366)Memory used [KB]: 1644
% 1.60/0.93 % (5366)Time elapsed: 0.035 s
% 1.60/0.93 % (5366)Instructions burned: 121 (million)
% 1.60/0.93 % (5366)------------------------------
% 1.60/0.93 % (5366)------------------------------
% 1.60/0.93 % (5375)ott+1004_1:2_bsr=unit_only:slsqr=1,8:to=lpo:sil=2000:plsqc=2:plsq=on:sp=reverse_frequency:acc=on:nwc=6.4:slsq=on:st=2.0:i=50:s2at=3.0:bd=off:ins=4:ss=axioms:sgt=10:plsql=on:rawr=on:aer=off:slsqc=2:afp=4000:afq=2.0:bce=on:gs=on:lma=on:br=off:gsaa=full_model:add=off_0 on theBenchmark for (2994ds/50Mi)
% 1.71/0.94 % (5372)Instruction limit reached!
% 1.71/0.94 % (5372)------------------------------
% 1.71/0.94 % (5372)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 1.71/0.94 % (5372)Termination reason: Unknown
% 1.71/0.94 % (5372)Termination phase: Saturation
% 1.71/0.94
% 1.71/0.94 % (5372)Memory used [KB]: 1397
% 1.71/0.94 % (5372)Time elapsed: 0.017 s
% 1.71/0.94 % (5372)Instructions burned: 56 (million)
% 1.71/0.94 % (5372)------------------------------
% 1.71/0.94 % (5372)------------------------------
% 1.71/0.94 % (5376)lrs+1011_1:1_to=lpo:drc=off:sil=2000:tgt=full:i=1483:fd=preordered_0 on theBenchmark for (2994ds/1483Mi)
% 1.71/0.95 % (5367)Instruction limit reached!
% 1.71/0.95 % (5367)------------------------------
% 1.71/0.95 % (5367)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 1.71/0.95 % (5367)Termination reason: Unknown
% 1.71/0.95 % (5367)Termination phase: Saturation
% 1.71/0.95
% 1.71/0.95 % (5367)Memory used [KB]: 2025
% 1.71/0.95 % (5367)Time elapsed: 0.052 s
% 1.71/0.95 % (5367)Instructions burned: 177 (million)
% 1.71/0.95 % (5367)------------------------------
% 1.71/0.95 % (5367)------------------------------
% 1.71/0.95 % (5375)Instruction limit reached!
% 1.71/0.95 % (5375)------------------------------
% 1.71/0.95 % (5375)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 1.71/0.95 % (5375)Termination reason: Unknown
% 1.71/0.95 % (5375)Termination phase: Saturation
% 1.71/0.95
% 1.71/0.95 % (5375)Memory used [KB]: 1643
% 1.71/0.95 % (5375)Time elapsed: 0.019 s
% 1.71/0.95 % (5375)Instructions burned: 51 (million)
% 1.71/0.95 % (5375)------------------------------
% 1.71/0.95 % (5375)------------------------------
% 1.71/0.95 % (5377)dis+1010_1:3_sil=2000:tgt=ground:sp=const_max:nwc=5.0:s2a=on:i=67:nm=16:av=off:bd=off_0 on theBenchmark for (2994ds/67Mi)
% 1.71/0.95 % (5378)lrs+1011_1:1_sil=64000:tgt=full:plsqc=1:plsq=on:plsqr=32,1:sp=occurrence:sos=on:lsd=20:st=5.0:i=67:sd=2:nm=4:av=off:fsr=off:ss=axioms:er=tagged:gs=on:sgt=8:nwc=3.0:bd=off_0 on theBenchmark for (2994ds/67Mi)
% 1.71/0.95 % (5337)Instruction limit reached!
% 1.71/0.95 % (5337)------------------------------
% 1.71/0.95 % (5337)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 1.71/0.95 % (5337)Termination reason: Unknown
% 1.71/0.95 % (5337)Termination phase: Saturation
% 1.71/0.95
% 1.71/0.95 % (5337)Memory used [KB]: 3343
% 1.71/0.95 % (5337)Time elapsed: 0.196 s
% 1.71/0.95 % (5337)Instructions burned: 521 (million)
% 1.71/0.95 % (5337)------------------------------
% 1.71/0.95 % (5337)------------------------------
% 1.71/0.95 % (5379)dis+1002_1:1024_sil=2000:sac=on:slsq=on:i=52:nm=16:sfv=off:slsqc=1:urr=ec_only:bd=off_0 on theBenchmark for (2994ds/52Mi)
% 1.71/0.95 % (5378)Refutation not found, incomplete strategy% (5378)------------------------------
% 1.71/0.95 % (5378)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 1.71/0.95 % (5378)Termination reason: Refutation not found, incomplete strategy
% 1.71/0.95
% 1.71/0.95 % (5378)Memory used [KB]: 1172
% 1.71/0.95 % (5378)Time elapsed: 0.004 s
% 1.71/0.95 % (5378)Instructions burned: 11 (million)
% 1.71/0.96 % (5378)------------------------------
% 1.71/0.96 % (5378)------------------------------
% 1.71/0.96 % (5380)lrs+1010_1:1_to=lpo:sil=2000:plsq=on:plsqr=32,1:sos=on:i=366:sd=2:ss=axioms_0 on theBenchmark for (2994ds/366Mi)
% 1.71/0.96 % (5380)Refutation not found, incomplete strategy% (5380)------------------------------
% 1.71/0.96 % (5380)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 1.71/0.96 % (5380)Termination reason: Refutation not found, incomplete strategy
% 1.71/0.96
% 1.71/0.96 % (5380)Memory used [KB]: 1153
% 1.71/0.96 % (5380)Time elapsed: 0.003 s
% 1.71/0.96 % (5380)Instructions burned: 6 (million)
% 1.71/0.96 % (5380)------------------------------
% 1.71/0.96 % (5380)------------------------------
% 1.71/0.96 % (5381)lrs+1011_4:1_to=lpo:drc=off:sil=8000:sp=frequency:abs=on:urr=on:lsd=10:nwc=5.0:s2agt=4:newcnf=on:st=5.0:s2a=on:i=863:ss=axioms:aac=none:br=off:bd=preordered_0 on theBenchmark for (2994ds/863Mi)
% 1.71/0.96 % (5381)WARNING: Not using newCnf currently not compatible with polymorphic/higher-order inputs.
% 1.71/0.97 % (5356)Instruction limit reached!
% 1.71/0.97 % (5356)------------------------------
% 1.71/0.97 % (5356)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 1.71/0.97 % (5356)Termination reason: Unknown
% 1.71/0.97 % (5356)Termination phase: Saturation
% 1.71/0.97
% 1.71/0.97 % (5356)Memory used [KB]: 2161
% 1.71/0.97 % (5356)Time elapsed: 0.102 s
% 1.71/0.97 % (5356)Instructions burned: 361 (million)
% 1.71/0.97 % (5356)------------------------------
% 1.71/0.97 % (5356)------------------------------
% 1.71/0.97 % (5377)Instruction limit reached!
% 1.71/0.97 % (5377)------------------------------
% 1.71/0.97 % (5377)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 1.71/0.97 % (5377)Termination reason: Unknown
% 1.71/0.97 % (5377)Termination phase: Saturation
% 1.71/0.97
% 1.71/0.97 % (5377)Memory used [KB]: 1327
% 1.71/0.97 % (5377)Time elapsed: 0.019 s
% 1.71/0.97 % (5377)Instructions burned: 67 (million)
% 1.71/0.97 % (5377)------------------------------
% 1.71/0.97 % (5377)------------------------------
% 1.71/0.97 % (5382)lrs+1011_1:1_sil=16000:fde=unused:plsqc=1:plsq=on:plsqr=32,1:sos=on:nwc=10.0:i=163:kws=frequency:nm=2:lsd=1:bd=off_0 on theBenchmark for (2994ds/163Mi)
% 1.71/0.97 % (5379)Instruction limit reached!
% 1.71/0.97 % (5379)------------------------------
% 1.71/0.97 % (5379)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 1.71/0.97 % (5379)Termination reason: Unknown
% 1.71/0.97 % (5379)Termination phase: Saturation
% 1.71/0.97
% 1.71/0.97 % (5379)Memory used [KB]: 1347
% 1.71/0.97 % (5379)Time elapsed: 0.017 s
% 1.71/0.97 % (5379)Instructions burned: 53 (million)
% 1.71/0.97 % (5379)------------------------------
% 1.71/0.97 % (5379)------------------------------
% 1.71/0.97 % (5383)lrs+33_1:1_sil=4000:sp=reverse_frequency:sos=all:i=77:sd=2:bd=off:nm=2:av=off:fsr=off:ss=axioms:sgt=10:rawr=on:sup=off:to=lpo:fs=off_0 on theBenchmark for (2994ds/77Mi)
% 1.71/0.97 % (5383)Refutation not found, incomplete strategy% (5383)------------------------------
% 1.71/0.97 % (5383)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 1.71/0.97 % (5383)Termination reason: Refutation not found, incomplete strategy
% 1.71/0.97
% 1.71/0.97 % (5383)Memory used [KB]: 1154
% 1.71/0.97 % (5383)Time elapsed: 0.003 s
% 1.71/0.97 % (5383)Instructions burned: 7 (million)
% 1.71/0.97 % (5384)lrs-1010_1:8_sil=2000:sos=on:i=1548:sd=1:ins=3:ss=included_0 on theBenchmark for (2993ds/1548Mi)
% 1.71/0.97 % (5382)Refutation not found, incomplete strategy% (5382)------------------------------
% 1.71/0.97 % (5382)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 1.71/0.97 % (5382)Termination reason: Refutation not found, incomplete strategy
% 1.71/0.97 % (5383)------------------------------
% 1.71/0.97 % (5383)------------------------------
% 1.71/0.97
% 1.71/0.97 % (5382)Memory used [KB]: 1183
% 1.71/0.97 % (5382)Time elapsed: 0.005 s
% 1.71/0.97 % (5382)Instructions burned: 12 (million)
% 1.71/0.97 % (5382)------------------------------
% 1.71/0.97 % (5382)------------------------------
% 1.71/0.97 % (5385)lrs+1010_974213:1048576_nwc=9.0:s2a=on:i=76:bd=off:lwlo=on:fd=off:sil=256000:s2agt=10:sims=off:nm=9:sp=const_min:rp=on:er=known:cond=fast:bce=on:abs=on:irw=on:amm=sco:afp=2000:updr=off:add=off:to=lpo:awrs=decay:awrsf=260:rawr=on:afq=2.0:uhcvi=on_0 on theBenchmark for (2993ds/76Mi)
% 1.71/0.98 % (5386)dis+1010_111129:1048576_sfv=off:drc=encompass:sil=2000:tgt=full:sp=reverse_arity:spb=goal:rnwc=on:fd=preordered:rp=on:nwc=6.5667:i=1376:kws=arity_squared:bd=off:nm=0:uhcvi=on:rawr=on:av=off:erd=off:cond=on:lcm=reverse_0 on theBenchmark for (2993ds/1376Mi)
% 1.71/0.99 % (5374)Instruction limit reached!
% 1.71/0.99 % (5374)------------------------------
% 1.71/0.99 % (5374)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 1.71/0.99 % (5374)Termination reason: Unknown
% 1.71/0.99 % (5374)Termination phase: Saturation
% 1.71/0.99
% 1.71/0.99 % (5374)Memory used [KB]: 2319
% 1.71/0.99 % (5374)Time elapsed: 0.066 s
% 1.71/0.99 % (5374)Instructions burned: 207 (million)
% 1.71/0.99 % (5374)------------------------------
% 1.71/0.99 % (5374)------------------------------
% 1.71/0.99 % (5387)lrs-1002_3:2_sil=2000:sos=on:fd=off:nwc=10.0:flr=on:i=117:nm=16:fsr=off:sup=off:ss=axioms:fs=off:bd=off:fde=none:erd=off_0 on theBenchmark for (2993ds/117Mi)
% 1.71/0.99 % (5381)First to succeed.
% 1.71/0.99 % (5387)Refutation not found, incomplete strategy% (5387)------------------------------
% 1.71/0.99 % (5387)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 1.71/0.99 % (5387)Termination reason: Refutation not found, incomplete strategy
% 1.71/0.99
% 1.71/0.99 % (5387)Memory used [KB]: 1088
% 1.71/0.99 % (5387)Time elapsed: 0.002 s
% 1.71/0.99 % (5387)Instructions burned: 4 (million)
% 1.71/0.99 % (5387)------------------------------
% 1.71/0.99 % (5387)------------------------------
% 1.71/1.00 % (5381)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-5324"
% 1.71/1.00 % (5381)Refutation found. Thanks to Tanya!
% 1.71/1.00 % SZS status Theorem for theBenchmark
% 1.71/1.00 % SZS output start Proof for theBenchmark
% See solution above
% 1.71/1.00 % (5381)------------------------------
% 1.71/1.00 % (5381)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 1.71/1.00 % (5381)Termination reason: Refutation
% 1.71/1.00
% 1.71/1.00 % (5381)Memory used [KB]: 1483
% 1.71/1.00 % (5381)Time elapsed: 0.035 s
% 1.71/1.00 % (5381)Instructions burned: 104 (million)
% 1.71/1.00 % (5324)Success in time 0.626 s
% 1.71/1.00 % Vampire---4.8 exiting
%------------------------------------------------------------------------------