%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : ITP011_3 : TPTP v9.3.1. Bugfixed v7.5.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% Computer : n011.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8046.5625MB
% OS : Linux 6.8.0-71-generic
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Tue Sep 29 11:34:56 AM UTC 2026
% Result : Theorem 20.20s 3.34s
% Output : Refutation 20.20s
% Verified :
% SZS Type : Refutation
% Derivation depth : 17
% Number of leaves : 27
% Syntax : Number of formulae : 178 ( 40 unt; 0 typ; 14 def)
% Number of atoms : 483 ( 193 equ)
% Maximal formula atoms : 27 ( 2 avg)
% Number of connectives : 475 ( 170 ~; 219 |; 50 &)
% ( 29 <=>; 6 =>; 0 <=; 1 <~>)
% Maximal formula depth : 28 ( 4 avg)
% Maximal term depth : 7 ( 2 avg)
% Number of types : 3 ( 2 usr)
% Number of type conns : 0 ( 0 >; 0 *; 0 +; 0 <<)
% Number of predicates : 17 ( 15 usr; 15 prp; 0-2 aty)
% Number of functors : 47 ( 47 usr; 9 con; 0-5 aty)
% Number of variables : 279 ( 0 sgn 273 !; 6 ?; 279 :)
% 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,
sK5: $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,
sK0:
!>[X0: $tType,X1: $tType] : ( ( tyop_2Emin_2Efun(X0,X1) * tyop_2Emin_2Efun(X0,X1) ) > X0 ) ).
tff(func_def_38,type,
sK1:
!>[X0: $tType] : ( tyop_2Emin_2Efun(X0,tyop_2Emin_2Ebool) > X0 ) ).
tff(func_def_39,type,
sK2:
!>[X0: $tType] : ( tyop_2Emin_2Efun(X0,tyop_2Emin_2Ebool) > X0 ) ).
tff(func_def_40,type,
sK3:
!>[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_41,type,
sK4:
!>[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(func_def_42,type,
sK6: sK5 ).
tff(func_def_43,type,
sK7: sK5 ).
tff(func_def_44,type,
sK8: tyop_2Emin_2Efun(sK5,tyop_2Emin_2Efun(sK5,tyop_2Emin_2Ebool)) ).
tff(pred_def_1,type,
p: tyop_2Emin_2Ebool > $o ).
tff(f2,axiom,
! [X0: tyop_2Emin_2Ebool,X1: tyop_2Emin_2Ebool] :
( ( p(X0)
<=> p(X1) )
=> ( X0 = X1 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',thm_2Eextra_2Dho_2Eboolext) ).
tff(f4,axiom,
~ p(c_2Ebool_2EF_2E0),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',thm_2Eextra_2Dho_2Enotfalse) ).
tff(f5,axiom,
! [X0: tyop_2Emin_2Ebool] :
( ( X0 = c_2Ebool_2ET_2E0 )
| ( X0 = c_2Ebool_2EF_2E0 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',thm_2Eextra_2Dho_2Ebool__cases__ax) ).
tff(f19,axiom,
! [X0: tyop_2Emin_2Ebool,X1: tyop_2Emin_2Ebool] :
( ( p(X0)
=> p(X1) )
<=> p(app_2E2(tyop_2Emin_2Ebool,tyop_2Emin_2Ebool,app_2E2(tyop_2Emin_2Ebool,tyop_2Emin_2Efun(tyop_2Emin_2Ebool,tyop_2Emin_2Ebool),c_2Emin_2E_3D_3D_3E_2E0,X0),X1)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',arityeq2_2Ec_2Emin_2E_3D_3D_3E_2E2) ).
tff(f26,axiom,
! [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) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',arityeq3_2Ec_2Eoption_2EOPTREL_2E3_2Emono_2EA_27a_20mono_2EA_27b) ).
tff(f27,axiom,
! [X0: $tType,X1: X0] : ( c_2Eoption_2ESOME_2E1(X0,X1) = app_2E2(X0,tyop_2Eoption_2Eoption(X0),c_2Eoption_2ESOME_2E0(X0),X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',arityeq1_2Ec_2Eoption_2ESOME_2E1_2Emono_2EA_27a) ).
tff(f30,axiom,
! [X0: $tType,X1: tyop_2Eoption_2Eoption(X0)] : ( c_2Eoption_2ETHE_2E1(X0,X1) = app_2E2(tyop_2Eoption_2Eoption(X0),X0,c_2Eoption_2ETHE_2E0(X0),X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',arityeq1_2Ec_2Eoption_2ETHE_2E1_2Emono_2EA_27a) ).
tff(f34,axiom,
! [X0: tyop_2Emin_2Ebool] :
( ~ p(X0)
<=> p(app_2E2(tyop_2Emin_2Ebool,tyop_2Emin_2Ebool,c_2Ebool_2E_7E_2E0,X0)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',arityeq1_2Ec_2Ebool_2E_7E_2E1) ).
tff(f35,axiom,
p(c_2Ebool_2ET_2E0),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',thm_2Ebool_2ETRUTH) ).
tff(f43,axiom,
! [X0: tyop_2Emin_2Ebool] :
( ( ( c_2Ebool_2ET_2E0 = X0 )
<=> p(X0) )
& ( ( X0 = c_2Ebool_2ET_2E0 )
<=> p(X0) )
& ( ( c_2Ebool_2EF_2E0 = X0 )
<=> ~ p(X0) )
& ( ( X0 = c_2Ebool_2EF_2E0 )
<=> ~ p(X0) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',thm_2Ebool_2EEQ__CLAUSES) ).
tff(f44,axiom,
! [X0: $tType,X1: $tType,X2: tyop_2Emin_2Efun(X0,X1),X3: tyop_2Eoption_2Eoption(X0),X4: X1] :
( ! [X5: X0,X6: X0] :
( ( c_2Eoption_2ESOME_2E1(X0,X5) = c_2Eoption_2ESOME_2E1(X0,X6) )
<=> ( X5 = X6 ) )
& ! [X7: X0] : ( c_2Eoption_2ETHE_2E1(X0,c_2Eoption_2ESOME_2E1(X0,X7)) = X7 )
& ! [X8: X0] : ( c_2Eoption_2ENONE_2E0(X0) != c_2Eoption_2ESOME_2E1(X0,X8) )
& ! [X9: X0] : ( c_2Eoption_2ESOME_2E1(X0,X9) != c_2Eoption_2ENONE_2E0(X0) )
& ! [X10: X0] : ( c_2Eoption_2EIS__SOME_2E1(X0,c_2Eoption_2ESOME_2E1(X0,X10)) = c_2Ebool_2ET_2E0 )
& ( c_2Eoption_2EIS__SOME_2E1(X0,c_2Eoption_2ENONE_2E0(X0)) = c_2Ebool_2EF_2E0 )
& ! [X11: tyop_2Eoption_2Eoption(X0)] :
( p(c_2Eoption_2EIS__NONE_2E1(X0,X11))
<=> ( X11 = c_2Eoption_2ENONE_2E0(X0) ) )
& ! [X12: tyop_2Eoption_2Eoption(X0)] :
( ~ p(c_2Eoption_2EIS__SOME_2E1(X0,X12))
<=> ( X12 = c_2Eoption_2ENONE_2E0(X0) ) )
& ! [X13: tyop_2Eoption_2Eoption(X0)] :
( p(c_2Eoption_2EIS__SOME_2E1(X0,X13))
=> ( c_2Eoption_2ESOME_2E1(X0,c_2Eoption_2ETHE_2E1(X0,X13)) = X13 ) )
& ! [X14: tyop_2Eoption_2Eoption(X0)] : ( c_2Eoption_2Eoption__CASE_2E3(X0,tyop_2Eoption_2Eoption(X0),X14,c_2Eoption_2ENONE_2E0(X0),c_2Eoption_2ESOME_2E0(X0)) = X14 )
& ! [X15: tyop_2Eoption_2Eoption(X0)] : ( c_2Eoption_2Eoption__CASE_2E3(X0,tyop_2Eoption_2Eoption(X0),X15,X15,c_2Eoption_2ESOME_2E0(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)] :
( p(c_2Eoption_2EIS__SOME_2E1(X0,X17))
=> ( c_2Eoption_2Eoption__CASE_2E3(X0,X1,X17,X4,X2) = app_2E2(X0,X1,X2,c_2Eoption_2ETHE_2E1(X0,X17)) ) )
& ! [X18: tyop_2Eoption_2Eoption(X0)] :
( p(c_2Eoption_2EIS__SOME_2E1(X0,X18))
=> ( c_2Eoption_2Eoption__CASE_2E3(X0,tyop_2Eoption_2Eoption(X0),X18,X3,c_2Eoption_2ESOME_2E0(X0)) = X18 ) )
& ! [X19: X1,X20: tyop_2Emin_2Efun(X0,X1)] : ( c_2Eoption_2Eoption__CASE_2E3(X0,X1,c_2Eoption_2ENONE_2E0(X0),X19,X20) = X19 )
& ! [X21: X0,X22: X1,X23: tyop_2Emin_2Efun(X0,X1)] : ( c_2Eoption_2Eoption__CASE_2E3(X0,X1,c_2Eoption_2ESOME_2E1(X0,X21),X22,X23) = app_2E2(X0,X1,X23,X21) )
& ! [X24: tyop_2Emin_2Efun(X0,X1),X25: X0] : ( c_2Eoption_2EOPTION__MAP_2E2(X0,X1,X24,c_2Eoption_2ESOME_2E1(X0,X25)) = c_2Eoption_2ESOME_2E1(X1,app_2E2(X0,X1,X24,X25)) )
& ! [X26: tyop_2Emin_2Efun(X0,X1)] : ( c_2Eoption_2EOPTION__MAP_2E2(X0,X1,X26,c_2Eoption_2ENONE_2E0(X0)) = c_2Eoption_2ENONE_2E0(X1) )
& ( c_2Eoption_2EOPTION__JOIN_2E1(X0,c_2Eoption_2ENONE_2E0(tyop_2Eoption_2Eoption(X0))) = c_2Eoption_2ENONE_2E0(X0) )
& ! [X27: tyop_2Eoption_2Eoption(X0)] : ( c_2Eoption_2EOPTION__JOIN_2E1(X0,c_2Eoption_2ESOME_2E1(tyop_2Eoption_2Eoption(X0),X27)) = X27 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',thm_2Eoption_2Eoption__CLAUSES) ).
tff(f45,axiom,
! [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))
<=> ( ( ( X3 = c_2Eoption_2ENONE_2E0(X0) )
& ( X4 = c_2Eoption_2ENONE_2E0(X1) ) )
| ? [X5: X0,X6: X1] :
( ( X3 = c_2Eoption_2ESOME_2E1(X0,X5) )
& ( X4 = c_2Eoption_2ESOME_2E1(X1,X6) )
& p(app_2E2(X1,tyop_2Emin_2Ebool,app_2E2(X0,tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),X2,X5),X6)) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',thm_2Eoption_2EOPTREL__def) ).
tff(f46,conjecture,
! [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_2ENONE_2E0(X0),c_2Eoption_2ENONE_2E0(X0)) = c_2Ebool_2ET_2E0 )
& ( c_2Eoption_2EOPTREL_2E3(X0,X0,X3,c_2Eoption_2ESOME_2E1(X0,X2),c_2Eoption_2ENONE_2E0(X0)) = 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_2ESOME_2E1(X0,X1)) = app_2E2(X0,tyop_2Emin_2Ebool,app_2E2(X0,tyop_2Emin_2Efun(X0,tyop_2Emin_2Ebool),X3,X2),X1) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',thm_2Equotient__option_2EOPTION__REL__def) ).
tff(f47,negated_conjecture,
~ ! [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_2ENONE_2E0(X0),c_2Eoption_2ENONE_2E0(X0)) = c_2Ebool_2ET_2E0 )
& ( c_2Eoption_2EOPTREL_2E3(X0,X0,X3,c_2Eoption_2ESOME_2E1(X0,X2),c_2Eoption_2ENONE_2E0(X0)) = 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_2ESOME_2E1(X0,X1)) = app_2E2(X0,tyop_2Emin_2Ebool,app_2E2(X0,tyop_2Emin_2Efun(X0,tyop_2Emin_2Ebool),X3,X2),X1) ) ),
inference(negated_conjecture,[status(cth)],[f46]) ).
tff(f51,plain,
! [X0: tyop_2Emin_2Ebool,X1: tyop_2Emin_2Ebool] :
( ( X0 = X1 )
| ( p(X0)
<~> p(X1) ) ),
inference(ennf_transformation,[],[f2]) ).
tff(f53,plain,
! [X0: tyop_2Emin_2Ebool,X1: tyop_2Emin_2Ebool] :
( ( p(X1)
| ~ p(X0) )
<=> p(app_2E2(tyop_2Emin_2Ebool,tyop_2Emin_2Ebool,app_2E2(tyop_2Emin_2Ebool,tyop_2Emin_2Efun(tyop_2Emin_2Ebool,tyop_2Emin_2Ebool),c_2Emin_2E_3D_3D_3E_2E0,X0),X1)) ),
inference(ennf_transformation,[],[f19]) ).
tff(f57,plain,
! [X0: $tType,X1: $tType,X2: tyop_2Emin_2Efun(X0,X1),X3: tyop_2Eoption_2Eoption(X0),X4: X1] :
( ! [X5: X0,X6: X0] :
( ( c_2Eoption_2ESOME_2E1(X0,X5) = c_2Eoption_2ESOME_2E1(X0,X6) )
<=> ( X5 = X6 ) )
& ! [X7: X0] : ( c_2Eoption_2ETHE_2E1(X0,c_2Eoption_2ESOME_2E1(X0,X7)) = X7 )
& ! [X8: X0] : ( c_2Eoption_2ENONE_2E0(X0) != c_2Eoption_2ESOME_2E1(X0,X8) )
& ! [X9: X0] : ( c_2Eoption_2ESOME_2E1(X0,X9) != c_2Eoption_2ENONE_2E0(X0) )
& ! [X10: X0] : ( c_2Eoption_2EIS__SOME_2E1(X0,c_2Eoption_2ESOME_2E1(X0,X10)) = c_2Ebool_2ET_2E0 )
& ( c_2Eoption_2EIS__SOME_2E1(X0,c_2Eoption_2ENONE_2E0(X0)) = c_2Ebool_2EF_2E0 )
& ! [X11: tyop_2Eoption_2Eoption(X0)] :
( p(c_2Eoption_2EIS__NONE_2E1(X0,X11))
<=> ( X11 = c_2Eoption_2ENONE_2E0(X0) ) )
& ! [X12: tyop_2Eoption_2Eoption(X0)] :
( ~ p(c_2Eoption_2EIS__SOME_2E1(X0,X12))
<=> ( X12 = c_2Eoption_2ENONE_2E0(X0) ) )
& ! [X13: tyop_2Eoption_2Eoption(X0)] :
( ( c_2Eoption_2ESOME_2E1(X0,c_2Eoption_2ETHE_2E1(X0,X13)) = X13 )
| ~ p(c_2Eoption_2EIS__SOME_2E1(X0,X13)) )
& ! [X14: tyop_2Eoption_2Eoption(X0)] : ( c_2Eoption_2Eoption__CASE_2E3(X0,tyop_2Eoption_2Eoption(X0),X14,c_2Eoption_2ENONE_2E0(X0),c_2Eoption_2ESOME_2E0(X0)) = X14 )
& ! [X15: tyop_2Eoption_2Eoption(X0)] : ( c_2Eoption_2Eoption__CASE_2E3(X0,tyop_2Eoption_2Eoption(X0),X15,X15,c_2Eoption_2ESOME_2E0(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,X1,X17,X4,X2) = app_2E2(X0,X1,X2,c_2Eoption_2ETHE_2E1(X0,X17)) )
| ~ p(c_2Eoption_2EIS__SOME_2E1(X0,X17)) )
& ! [X18: tyop_2Eoption_2Eoption(X0)] :
( ( c_2Eoption_2Eoption__CASE_2E3(X0,tyop_2Eoption_2Eoption(X0),X18,X3,c_2Eoption_2ESOME_2E0(X0)) = X18 )
| ~ p(c_2Eoption_2EIS__SOME_2E1(X0,X18)) )
& ! [X19: X1,X20: tyop_2Emin_2Efun(X0,X1)] : ( c_2Eoption_2Eoption__CASE_2E3(X0,X1,c_2Eoption_2ENONE_2E0(X0),X19,X20) = X19 )
& ! [X21: X0,X22: X1,X23: tyop_2Emin_2Efun(X0,X1)] : ( c_2Eoption_2Eoption__CASE_2E3(X0,X1,c_2Eoption_2ESOME_2E1(X0,X21),X22,X23) = app_2E2(X0,X1,X23,X21) )
& ! [X24: tyop_2Emin_2Efun(X0,X1),X25: X0] : ( c_2Eoption_2EOPTION__MAP_2E2(X0,X1,X24,c_2Eoption_2ESOME_2E1(X0,X25)) = c_2Eoption_2ESOME_2E1(X1,app_2E2(X0,X1,X24,X25)) )
& ! [X26: tyop_2Emin_2Efun(X0,X1)] : ( c_2Eoption_2EOPTION__MAP_2E2(X0,X1,X26,c_2Eoption_2ENONE_2E0(X0)) = c_2Eoption_2ENONE_2E0(X1) )
& ( c_2Eoption_2EOPTION__JOIN_2E1(X0,c_2Eoption_2ENONE_2E0(tyop_2Eoption_2Eoption(X0))) = c_2Eoption_2ENONE_2E0(X0) )
& ! [X27: tyop_2Eoption_2Eoption(X0)] : ( c_2Eoption_2EOPTION__JOIN_2E1(X0,c_2Eoption_2ESOME_2E1(tyop_2Eoption_2Eoption(X0),X27)) = X27 ) ),
inference(ennf_transformation,[],[f44]) ).
tff(f58,plain,
? [X0: $tType,X1: X0,X2: X0,X3: tyop_2Emin_2Efun(X0,tyop_2Emin_2Efun(X0,tyop_2Emin_2Ebool))] :
( ( c_2Ebool_2ET_2E0 != c_2Eoption_2EOPTREL_2E3(X0,X0,X3,c_2Eoption_2ENONE_2E0(X0),c_2Eoption_2ENONE_2E0(X0)) )
| ( c_2Ebool_2EF_2E0 != c_2Eoption_2EOPTREL_2E3(X0,X0,X3,c_2Eoption_2ESOME_2E1(X0,X2),c_2Eoption_2ENONE_2E0(X0)) )
| ( c_2Ebool_2EF_2E0 != c_2Eoption_2EOPTREL_2E3(X0,X0,X3,c_2Eoption_2ENONE_2E0(X0),c_2Eoption_2ESOME_2E1(X0,X1)) )
| ( 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) ) ),
inference(ennf_transformation,[],[f47]) ).
tff(f61,plain,
! [X0: tyop_2Emin_2Ebool,X1: tyop_2Emin_2Ebool] :
( ~ p(X1)
| ~ p(X0)
| ( X0 = X1 ) ),
inference(cnf_transformation,[],[f51]) ).
tff(f63,plain,
~ p(c_2Ebool_2EF_2E0),
inference(cnf_transformation,[],[f4]) ).
tff(f64,plain,
! [X0: tyop_2Emin_2Ebool] :
( ( c_2Ebool_2EF_2E0 = X0 )
| ( c_2Ebool_2ET_2E0 = X0 ) ),
inference(cnf_transformation,[],[f5]) ).
tff(f93,plain,
! [X0: tyop_2Emin_2Ebool,X1: tyop_2Emin_2Ebool] :
( ~ p(app_2E2(tyop_2Emin_2Ebool,tyop_2Emin_2Ebool,app_2E2(tyop_2Emin_2Ebool,tyop_2Emin_2Efun(tyop_2Emin_2Ebool,tyop_2Emin_2Ebool),c_2Emin_2E_3D_3D_3E_2E0,X0),X1))
| ~ p(X0)
| p(X1) ),
inference(cnf_transformation,[],[f53]) ).
tff(f100,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,[],[f26]) ).
tff(f101,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,[],[f27]) ).
tff(f104,plain,
! [X0: $tType,X1: tyop_2Eoption_2Eoption(X0)] : ( c_2Eoption_2ETHE_2E1(X0,X1) = app_2E2(tyop_2Eoption_2Eoption(X0),X0,c_2Eoption_2ETHE_2E0(X0),X1) ),
inference(cnf_transformation,[],[f30]) ).
tff(f110,plain,
! [X0: tyop_2Emin_2Ebool] :
( ~ p(app_2E2(tyop_2Emin_2Ebool,tyop_2Emin_2Ebool,c_2Ebool_2E_7E_2E0,X0))
| ~ p(X0) ),
inference(cnf_transformation,[],[f34]) ).
tff(f111,plain,
! [X0: tyop_2Emin_2Ebool] :
( p(app_2E2(tyop_2Emin_2Ebool,tyop_2Emin_2Ebool,c_2Ebool_2E_7E_2E0,X0))
| p(X0) ),
inference(cnf_transformation,[],[f34]) ).
tff(f112,plain,
p(c_2Ebool_2ET_2E0),
inference(cnf_transformation,[],[f35]) ).
tff(f132,plain,
! [X0: tyop_2Emin_2Ebool] :
( ~ p(X0)
| ( c_2Ebool_2ET_2E0 = X0 ) ),
inference(cnf_transformation,[],[f43]) ).
tff(f136,plain,
! [X0: tyop_2Emin_2Ebool] :
( p(X0)
| ( c_2Ebool_2EF_2E0 = X0 ) ),
inference(cnf_transformation,[],[f43]) ).
tff(f159,plain,
! [X0: $tType,X8: X0] : ( c_2Eoption_2ENONE_2E0(X0) != c_2Eoption_2ESOME_2E1(X0,X8) ),
inference(cnf_transformation,[],[f57]) ).
tff(f160,plain,
! [X0: $tType,X7: X0] : ( c_2Eoption_2ETHE_2E1(X0,c_2Eoption_2ESOME_2E1(X0,X7)) = X7 ),
inference(cnf_transformation,[],[f57]) ).
tff(f161,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(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 )
| p(c_2Eoption_2EOPTREL_2E3(X0,X1,X2,X3,X4)) ),
inference(cnf_transformation,[],[f45]) ).
tff(f162,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,sK3(X0,X1,X2,X3,X4)),sK4(X0,X1,X2,X3,X4)))
| ( c_2Eoption_2ENONE_2E0(X0) = X3 )
| ~ p(c_2Eoption_2EOPTREL_2E3(X0,X1,X2,X3,X4)) ),
inference(cnf_transformation,[],[f45]) ).
tff(f163,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,sK4(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,[],[f45]) ).
tff(f164,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,sK3(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,[],[f45]) ).
tff(f167,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,sK3(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,[],[f45]) ).
tff(f168,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_2ENONE_2E0(X1) != X4 )
| ( c_2Eoption_2ENONE_2E0(X0) != X3 )
| p(c_2Eoption_2EOPTREL_2E3(X0,X1,X2,X3,X4)) ),
inference(cnf_transformation,[],[f45]) ).
tff(f169,plain,
( ( c_2Eoption_2EOPTREL_2E3(sK5,sK5,sK8,c_2Eoption_2ESOME_2E1(sK5,sK7),c_2Eoption_2ESOME_2E1(sK5,sK6)) != app_2E2(sK5,tyop_2Emin_2Ebool,app_2E2(sK5,tyop_2Emin_2Efun(sK5,tyop_2Emin_2Ebool),sK8,sK7),sK6) )
| ( c_2Ebool_2EF_2E0 != c_2Eoption_2EOPTREL_2E3(sK5,sK5,sK8,c_2Eoption_2ENONE_2E0(sK5),c_2Eoption_2ESOME_2E1(sK5,sK6)) )
| ( c_2Ebool_2EF_2E0 != c_2Eoption_2EOPTREL_2E3(sK5,sK5,sK8,c_2Eoption_2ESOME_2E1(sK5,sK7),c_2Eoption_2ENONE_2E0(sK5)) )
| ( c_2Ebool_2ET_2E0 != c_2Eoption_2EOPTREL_2E3(sK5,sK5,sK8,c_2Eoption_2ENONE_2E0(sK5),c_2Eoption_2ENONE_2E0(sK5)) ) ),
inference(cnf_transformation,[],[f58]) ).
tff(f178,plain,
! [X0: $tType,X7: X0] : ( app_2E2(tyop_2Eoption_2Eoption(X0),X0,c_2Eoption_2ETHE_2E0(X0),app_2E2(X0,tyop_2Eoption_2Eoption(X0),c_2Eoption_2ESOME_2E0(X0),X7)) = X7 ),
inference(definition_unfolding,[],[f160,f104,f101]) ).
tff(f179,plain,
! [X0: $tType,X8: X0] : ( c_2Eoption_2ENONE_2E0(X0) != app_2E2(X0,tyop_2Eoption_2Eoption(X0),c_2Eoption_2ESOME_2E0(X0),X8) ),
inference(definition_unfolding,[],[f159,f101]) ).
tff(f201,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_2ENONE_2E0(X1) != X4 )
| ( c_2Eoption_2ENONE_2E0(X0) != X3 )
| 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)) ),
inference(definition_unfolding,[],[f168,f100]) ).
tff(f202,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)] :
( ( app_2E2(X0,tyop_2Eoption_2Eoption(X0),c_2Eoption_2ESOME_2E0(X0),sK3(X0,X1,X2,X3,X4)) = X3 )
| ( c_2Eoption_2ENONE_2E0(X1) = X4 )
| ~ 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)) ),
inference(definition_unfolding,[],[f167,f101,f100]) ).
tff(f205,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)] :
( ( app_2E2(X0,tyop_2Eoption_2Eoption(X0),c_2Eoption_2ESOME_2E0(X0),sK3(X0,X1,X2,X3,X4)) = X3 )
| ( c_2Eoption_2ENONE_2E0(X0) = X3 )
| ~ 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)) ),
inference(definition_unfolding,[],[f164,f101,f100]) ).
tff(f206,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)] :
( ( app_2E2(X1,tyop_2Eoption_2Eoption(X1),c_2Eoption_2ESOME_2E0(X1),sK4(X0,X1,X2,X3,X4)) = X4 )
| ( c_2Eoption_2ENONE_2E0(X0) = X3 )
| ~ 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)) ),
inference(definition_unfolding,[],[f163,f101,f100]) ).
tff(f207,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,sK3(X0,X1,X2,X3,X4)),sK4(X0,X1,X2,X3,X4)))
| ( c_2Eoption_2ENONE_2E0(X0) = X3 )
| ~ 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)) ),
inference(definition_unfolding,[],[f162,f100]) ).
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(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 )
| 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)) ),
inference(definition_unfolding,[],[f161,f101,f101,f100]) ).
tff(f209,plain,
( ( app_2E2(sK5,tyop_2Emin_2Ebool,app_2E2(sK5,tyop_2Emin_2Efun(sK5,tyop_2Emin_2Ebool),sK8,sK7),sK6) != app_2E2(tyop_2Eoption_2Eoption(sK5),tyop_2Emin_2Ebool,app_2E2(tyop_2Eoption_2Eoption(sK5),tyop_2Emin_2Efun(tyop_2Eoption_2Eoption(sK5),tyop_2Emin_2Ebool),app_2E2(tyop_2Emin_2Efun(sK5,tyop_2Emin_2Efun(sK5,tyop_2Emin_2Ebool)),tyop_2Emin_2Efun(tyop_2Eoption_2Eoption(sK5),tyop_2Emin_2Efun(tyop_2Eoption_2Eoption(sK5),tyop_2Emin_2Ebool)),c_2Eoption_2EOPTREL_2E0(sK5,sK5),sK8),app_2E2(sK5,tyop_2Eoption_2Eoption(sK5),c_2Eoption_2ESOME_2E0(sK5),sK7)),app_2E2(sK5,tyop_2Eoption_2Eoption(sK5),c_2Eoption_2ESOME_2E0(sK5),sK6)) )
| ( c_2Ebool_2EF_2E0 != app_2E2(tyop_2Eoption_2Eoption(sK5),tyop_2Emin_2Ebool,app_2E2(tyop_2Eoption_2Eoption(sK5),tyop_2Emin_2Efun(tyop_2Eoption_2Eoption(sK5),tyop_2Emin_2Ebool),app_2E2(tyop_2Emin_2Efun(sK5,tyop_2Emin_2Efun(sK5,tyop_2Emin_2Ebool)),tyop_2Emin_2Efun(tyop_2Eoption_2Eoption(sK5),tyop_2Emin_2Efun(tyop_2Eoption_2Eoption(sK5),tyop_2Emin_2Ebool)),c_2Eoption_2EOPTREL_2E0(sK5,sK5),sK8),c_2Eoption_2ENONE_2E0(sK5)),app_2E2(sK5,tyop_2Eoption_2Eoption(sK5),c_2Eoption_2ESOME_2E0(sK5),sK6)) )
| ( c_2Ebool_2EF_2E0 != app_2E2(tyop_2Eoption_2Eoption(sK5),tyop_2Emin_2Ebool,app_2E2(tyop_2Eoption_2Eoption(sK5),tyop_2Emin_2Efun(tyop_2Eoption_2Eoption(sK5),tyop_2Emin_2Ebool),app_2E2(tyop_2Emin_2Efun(sK5,tyop_2Emin_2Efun(sK5,tyop_2Emin_2Ebool)),tyop_2Emin_2Efun(tyop_2Eoption_2Eoption(sK5),tyop_2Emin_2Efun(tyop_2Eoption_2Eoption(sK5),tyop_2Emin_2Ebool)),c_2Eoption_2EOPTREL_2E0(sK5,sK5),sK8),app_2E2(sK5,tyop_2Eoption_2Eoption(sK5),c_2Eoption_2ESOME_2E0(sK5),sK7)),c_2Eoption_2ENONE_2E0(sK5)) )
| ( c_2Ebool_2ET_2E0 != app_2E2(tyop_2Eoption_2Eoption(sK5),tyop_2Emin_2Ebool,app_2E2(tyop_2Eoption_2Eoption(sK5),tyop_2Emin_2Efun(tyop_2Eoption_2Eoption(sK5),tyop_2Emin_2Ebool),app_2E2(tyop_2Emin_2Efun(sK5,tyop_2Emin_2Efun(sK5,tyop_2Emin_2Ebool)),tyop_2Emin_2Efun(tyop_2Eoption_2Eoption(sK5),tyop_2Emin_2Efun(tyop_2Eoption_2Eoption(sK5),tyop_2Emin_2Ebool)),c_2Eoption_2EOPTREL_2E0(sK5,sK5),sK8),c_2Eoption_2ENONE_2E0(sK5)),c_2Eoption_2ENONE_2E0(sK5)) ) ),
inference(definition_unfolding,[],[f169,f100,f101,f101,f100,f101,f100,f101,f100]) ).
tff(f219,plain,
! [X1: $tType,X0: $tType,X2: tyop_2Emin_2Efun(X0,tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool)),X3: tyop_2Eoption_2Eoption(X0)] :
( ( c_2Eoption_2ENONE_2E0(X0) != X3 )
| 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))) ),
inference(equality_resolution,[],[f201]) ).
tff(f220,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,[],[f219]) ).
tff(f221,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(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 )
| 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))) ),
inference(equality_resolution,[],[f208]) ).
tff(f222,plain,
! [X1: $tType,X0: $tType,X2: tyop_2Emin_2Efun(X0,tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool)),X6: X1,X5: X0] :
( ~ p(app_2E2(X1,tyop_2Emin_2Ebool,app_2E2(X0,tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),X2,X5),X6))
| 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))) ),
inference(equality_resolution,[],[f221]) ).
tff(f223,plain,
! [X0: tyop_2Emin_2Ebool,X1: tyop_2Emin_2Ebool] :
( p(X1)
| p(X0)
| ( X0 = X1 ) ),
inference(consistent_polarity_flipping,[],[f61]) ).
tff(f226,plain,
p(c_2Ebool_2EF_2E0),
inference(consistent_polarity_flipping,[],[f63]) ).
tff(f249,plain,
! [X0: tyop_2Emin_2Ebool,X1: tyop_2Emin_2Ebool] :
( p(app_2E2(tyop_2Emin_2Ebool,tyop_2Emin_2Ebool,app_2E2(tyop_2Emin_2Ebool,tyop_2Emin_2Efun(tyop_2Emin_2Ebool,tyop_2Emin_2Ebool),c_2Emin_2E_3D_3D_3E_2E0,X0),X1))
| p(X0)
| ~ p(X1) ),
inference(consistent_polarity_flipping,[],[f93]) ).
tff(f255,plain,
! [X0: tyop_2Emin_2Ebool] :
( ~ p(app_2E2(tyop_2Emin_2Ebool,tyop_2Emin_2Ebool,c_2Ebool_2E_7E_2E0,X0))
| ~ p(X0) ),
inference(consistent_polarity_flipping,[],[f111]) ).
tff(f256,plain,
! [X0: tyop_2Emin_2Ebool] :
( p(app_2E2(tyop_2Emin_2Ebool,tyop_2Emin_2Ebool,c_2Ebool_2E_7E_2E0,X0))
| p(X0) ),
inference(consistent_polarity_flipping,[],[f110]) ).
tff(f257,plain,
~ p(c_2Ebool_2ET_2E0),
inference(consistent_polarity_flipping,[],[f112]) ).
tff(f276,plain,
! [X0: tyop_2Emin_2Ebool] :
( ~ p(X0)
| ( c_2Ebool_2EF_2E0 = X0 ) ),
inference(consistent_polarity_flipping,[],[f136]) ).
tff(f280,plain,
! [X0: tyop_2Emin_2Ebool] :
( p(X0)
| ( c_2Ebool_2ET_2E0 = X0 ) ),
inference(consistent_polarity_flipping,[],[f132]) ).
tff(f291,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(consistent_polarity_flipping,[],[f220]) ).
tff(f292,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),sK3(X0,X1,X2,X3,X4)) = X3 ) ),
inference(consistent_polarity_flipping,[],[f202]) ).
tff(f295,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),sK3(X0,X1,X2,X3,X4)) = X3 ) ),
inference(consistent_polarity_flipping,[],[f205]) ).
tff(f296,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),sK4(X0,X1,X2,X3,X4)) = X4 ) ),
inference(consistent_polarity_flipping,[],[f206]) ).
tff(f297,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,sK3(X0,X1,X2,X3,X4)),sK4(X0,X1,X2,X3,X4)))
| ( c_2Eoption_2ENONE_2E0(X0) = X3 )
| 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)) ),
inference(consistent_polarity_flipping,[],[f207]) ).
tff(f298,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(consistent_polarity_flipping,[],[f222]) ).
tff(f301,definition,
( spl9_1
<=> ( c_2Ebool_2ET_2E0 = app_2E2(tyop_2Eoption_2Eoption(sK5),tyop_2Emin_2Ebool,app_2E2(tyop_2Eoption_2Eoption(sK5),tyop_2Emin_2Efun(tyop_2Eoption_2Eoption(sK5),tyop_2Emin_2Ebool),app_2E2(tyop_2Emin_2Efun(sK5,tyop_2Emin_2Efun(sK5,tyop_2Emin_2Ebool)),tyop_2Emin_2Efun(tyop_2Eoption_2Eoption(sK5),tyop_2Emin_2Efun(tyop_2Eoption_2Eoption(sK5),tyop_2Emin_2Ebool)),c_2Eoption_2EOPTREL_2E0(sK5,sK5),sK8),c_2Eoption_2ENONE_2E0(sK5)),c_2Eoption_2ENONE_2E0(sK5)) ) ),
introduced(definition,[new_symbols(definition,[spl9_1])],[avatar_definition]) ).
tff(f303,plain,
( ( c_2Ebool_2ET_2E0 != app_2E2(tyop_2Eoption_2Eoption(sK5),tyop_2Emin_2Ebool,app_2E2(tyop_2Eoption_2Eoption(sK5),tyop_2Emin_2Efun(tyop_2Eoption_2Eoption(sK5),tyop_2Emin_2Ebool),app_2E2(tyop_2Emin_2Efun(sK5,tyop_2Emin_2Efun(sK5,tyop_2Emin_2Ebool)),tyop_2Emin_2Efun(tyop_2Eoption_2Eoption(sK5),tyop_2Emin_2Efun(tyop_2Eoption_2Eoption(sK5),tyop_2Emin_2Ebool)),c_2Eoption_2EOPTREL_2E0(sK5,sK5),sK8),c_2Eoption_2ENONE_2E0(sK5)),c_2Eoption_2ENONE_2E0(sK5)) )
| spl9_1 ),
inference(avatar_component_clause,[],[f301]) ).
tff(f305,definition,
( spl9_2
<=> ( c_2Ebool_2EF_2E0 = app_2E2(tyop_2Eoption_2Eoption(sK5),tyop_2Emin_2Ebool,app_2E2(tyop_2Eoption_2Eoption(sK5),tyop_2Emin_2Efun(tyop_2Eoption_2Eoption(sK5),tyop_2Emin_2Ebool),app_2E2(tyop_2Emin_2Efun(sK5,tyop_2Emin_2Efun(sK5,tyop_2Emin_2Ebool)),tyop_2Emin_2Efun(tyop_2Eoption_2Eoption(sK5),tyop_2Emin_2Efun(tyop_2Eoption_2Eoption(sK5),tyop_2Emin_2Ebool)),c_2Eoption_2EOPTREL_2E0(sK5,sK5),sK8),app_2E2(sK5,tyop_2Eoption_2Eoption(sK5),c_2Eoption_2ESOME_2E0(sK5),sK7)),c_2Eoption_2ENONE_2E0(sK5)) ) ),
introduced(definition,[new_symbols(definition,[spl9_2])],[avatar_definition]) ).
tff(f307,plain,
( ( c_2Ebool_2EF_2E0 != app_2E2(tyop_2Eoption_2Eoption(sK5),tyop_2Emin_2Ebool,app_2E2(tyop_2Eoption_2Eoption(sK5),tyop_2Emin_2Efun(tyop_2Eoption_2Eoption(sK5),tyop_2Emin_2Ebool),app_2E2(tyop_2Emin_2Efun(sK5,tyop_2Emin_2Efun(sK5,tyop_2Emin_2Ebool)),tyop_2Emin_2Efun(tyop_2Eoption_2Eoption(sK5),tyop_2Emin_2Efun(tyop_2Eoption_2Eoption(sK5),tyop_2Emin_2Ebool)),c_2Eoption_2EOPTREL_2E0(sK5,sK5),sK8),app_2E2(sK5,tyop_2Eoption_2Eoption(sK5),c_2Eoption_2ESOME_2E0(sK5),sK7)),c_2Eoption_2ENONE_2E0(sK5)) )
| spl9_2 ),
inference(avatar_component_clause,[],[f305]) ).
tff(f309,definition,
( spl9_3
<=> ( c_2Ebool_2EF_2E0 = app_2E2(tyop_2Eoption_2Eoption(sK5),tyop_2Emin_2Ebool,app_2E2(tyop_2Eoption_2Eoption(sK5),tyop_2Emin_2Efun(tyop_2Eoption_2Eoption(sK5),tyop_2Emin_2Ebool),app_2E2(tyop_2Emin_2Efun(sK5,tyop_2Emin_2Efun(sK5,tyop_2Emin_2Ebool)),tyop_2Emin_2Efun(tyop_2Eoption_2Eoption(sK5),tyop_2Emin_2Efun(tyop_2Eoption_2Eoption(sK5),tyop_2Emin_2Ebool)),c_2Eoption_2EOPTREL_2E0(sK5,sK5),sK8),c_2Eoption_2ENONE_2E0(sK5)),app_2E2(sK5,tyop_2Eoption_2Eoption(sK5),c_2Eoption_2ESOME_2E0(sK5),sK6)) ) ),
introduced(definition,[new_symbols(definition,[spl9_3])],[avatar_definition]) ).
tff(f311,plain,
( ( c_2Ebool_2EF_2E0 != app_2E2(tyop_2Eoption_2Eoption(sK5),tyop_2Emin_2Ebool,app_2E2(tyop_2Eoption_2Eoption(sK5),tyop_2Emin_2Efun(tyop_2Eoption_2Eoption(sK5),tyop_2Emin_2Ebool),app_2E2(tyop_2Emin_2Efun(sK5,tyop_2Emin_2Efun(sK5,tyop_2Emin_2Ebool)),tyop_2Emin_2Efun(tyop_2Eoption_2Eoption(sK5),tyop_2Emin_2Efun(tyop_2Eoption_2Eoption(sK5),tyop_2Emin_2Ebool)),c_2Eoption_2EOPTREL_2E0(sK5,sK5),sK8),c_2Eoption_2ENONE_2E0(sK5)),app_2E2(sK5,tyop_2Eoption_2Eoption(sK5),c_2Eoption_2ESOME_2E0(sK5),sK6)) )
| spl9_3 ),
inference(avatar_component_clause,[],[f309]) ).
tff(f313,definition,
( spl9_4
<=> ( app_2E2(sK5,tyop_2Emin_2Ebool,app_2E2(sK5,tyop_2Emin_2Efun(sK5,tyop_2Emin_2Ebool),sK8,sK7),sK6) = app_2E2(tyop_2Eoption_2Eoption(sK5),tyop_2Emin_2Ebool,app_2E2(tyop_2Eoption_2Eoption(sK5),tyop_2Emin_2Efun(tyop_2Eoption_2Eoption(sK5),tyop_2Emin_2Ebool),app_2E2(tyop_2Emin_2Efun(sK5,tyop_2Emin_2Efun(sK5,tyop_2Emin_2Ebool)),tyop_2Emin_2Efun(tyop_2Eoption_2Eoption(sK5),tyop_2Emin_2Efun(tyop_2Eoption_2Eoption(sK5),tyop_2Emin_2Ebool)),c_2Eoption_2EOPTREL_2E0(sK5,sK5),sK8),app_2E2(sK5,tyop_2Eoption_2Eoption(sK5),c_2Eoption_2ESOME_2E0(sK5),sK7)),app_2E2(sK5,tyop_2Eoption_2Eoption(sK5),c_2Eoption_2ESOME_2E0(sK5),sK6)) ) ),
introduced(definition,[new_symbols(definition,[spl9_4])],[avatar_definition]) ).
tff(f315,plain,
( ( app_2E2(sK5,tyop_2Emin_2Ebool,app_2E2(sK5,tyop_2Emin_2Efun(sK5,tyop_2Emin_2Ebool),sK8,sK7),sK6) != app_2E2(tyop_2Eoption_2Eoption(sK5),tyop_2Emin_2Ebool,app_2E2(tyop_2Eoption_2Eoption(sK5),tyop_2Emin_2Efun(tyop_2Eoption_2Eoption(sK5),tyop_2Emin_2Ebool),app_2E2(tyop_2Emin_2Efun(sK5,tyop_2Emin_2Efun(sK5,tyop_2Emin_2Ebool)),tyop_2Emin_2Efun(tyop_2Eoption_2Eoption(sK5),tyop_2Emin_2Efun(tyop_2Eoption_2Eoption(sK5),tyop_2Emin_2Ebool)),c_2Eoption_2EOPTREL_2E0(sK5,sK5),sK8),app_2E2(sK5,tyop_2Eoption_2Eoption(sK5),c_2Eoption_2ESOME_2E0(sK5),sK7)),app_2E2(sK5,tyop_2Eoption_2Eoption(sK5),c_2Eoption_2ESOME_2E0(sK5),sK6)) )
| spl9_4 ),
inference(avatar_component_clause,[],[f313]) ).
tff(f316,plain,
( ~ spl9_1
| ~ spl9_2
| ~ spl9_3
| ~ spl9_4 ),
inference(avatar_split_clause,[],[f209,f313,f309,f305,f301]) ).
tff(f318,definition,
( spl9_5
<=> p(c_2Ebool_2ET_2E0) ),
introduced(definition,[new_symbols(definition,[spl9_5])],[avatar_definition]) ).
tff(f319,plain,
( ~ p(c_2Ebool_2ET_2E0)
| spl9_5 ),
inference(avatar_component_clause,[],[f318]) ).
tff(f322,definition,
( spl9_6
<=> p(c_2Ebool_2EF_2E0) ),
introduced(definition,[new_symbols(definition,[spl9_6])],[avatar_definition]) ).
tff(f324,plain,
( p(c_2Ebool_2EF_2E0)
| ~ spl9_6 ),
inference(avatar_component_clause,[],[f322]) ).
tff(f330,definition,
( spl9_7
<=> ! [X0: tyop_2Emin_2Ebool] : p(X0) ),
introduced(definition,[new_symbols(definition,[spl9_7])],[avatar_definition]) ).
tff(f331,plain,
( ! [X0: tyop_2Emin_2Ebool] : p(X0)
| ~ spl9_7 ),
inference(avatar_component_clause,[],[f330]) ).
tff(f335,definition,
( spl9_8
<=> ! [X0: tyop_2Emin_2Ebool] : ~ p(X0) ),
introduced(definition,[new_symbols(definition,[spl9_8])],[avatar_definition]) ).
tff(f336,plain,
( ! [X0: tyop_2Emin_2Ebool] : ~ p(X0)
| ~ spl9_8 ),
inference(avatar_component_clause,[],[f335]) ).
tff(f344,plain,
~ spl9_5,
inference(avatar_split_clause,[],[f257,f318]) ).
tff(f345,plain,
spl9_6,
inference(avatar_split_clause,[],[f226,f322]) ).
tff(f353,plain,
! [X0: tyop_2Emin_2Ebool,X1: tyop_2Emin_2Ebool] :
( ( X0 = X1 )
| ( c_2Ebool_2ET_2E0 = X1 )
| ( c_2Ebool_2ET_2E0 = X0 ) ),
inference(superposition,[],[f64,f64]) ).
tff(f361,definition,
( spl9_9
<=> ! [X0: tyop_2Emin_2Ebool] : ( c_2Ebool_2ET_2E0 = X0 ) ),
introduced(definition,[new_symbols(definition,[spl9_9])],[avatar_definition]) ).
tff(f362,plain,
( ! [X0: tyop_2Emin_2Ebool] : ( c_2Ebool_2ET_2E0 = X0 )
| ~ spl9_9 ),
inference(avatar_component_clause,[],[f361]) ).
tff(f607,plain,
( ! [X0: tyop_2Emin_2Ebool] : ~ p(app_2E2(tyop_2Emin_2Ebool,tyop_2Emin_2Ebool,c_2Ebool_2E_7E_2E0,X0))
| ~ spl9_7 ),
inference(backward_subsumption_resolution,[],[f255,f331]) ).
tff(f635,plain,
( $false
| ~ spl9_7 ),
inference(forward_subsumption_resolution,[],[f607,f331]) ).
tff(f636,plain,
~ spl9_7,
inference(avatar_contradiction_clause,[],[f635]) ).
tff(f644,plain,
( ! [X0: tyop_2Emin_2Ebool] : p(app_2E2(tyop_2Emin_2Ebool,tyop_2Emin_2Ebool,c_2Ebool_2E_7E_2E0,X0))
| ~ spl9_8 ),
inference(backward_subsumption_resolution,[],[f256,f336]) ).
tff(f656,plain,
( $false
| ~ spl9_8 ),
inference(forward_subsumption_resolution,[],[f644,f336]) ).
tff(f657,plain,
~ spl9_8,
inference(avatar_contradiction_clause,[],[f656]) ).
tff(f1196,plain,
! [X0: $tType,X2: $tType,X3: tyop_2Emin_2Efun(X2,tyop_2Emin_2Efun(X0,tyop_2Emin_2Ebool)),X1: tyop_2Eoption_2Eoption(X0),X4: tyop_2Eoption_2Eoption(X2)] :
( ( c_2Ebool_2EF_2E0 = app_2E2(tyop_2Eoption_2Eoption(X0),tyop_2Emin_2Ebool,app_2E2(tyop_2Eoption_2Eoption(X2),tyop_2Emin_2Efun(tyop_2Eoption_2Eoption(X0),tyop_2Emin_2Ebool),app_2E2(tyop_2Emin_2Efun(X2,tyop_2Emin_2Efun(X0,tyop_2Emin_2Ebool)),tyop_2Emin_2Efun(tyop_2Eoption_2Eoption(X2),tyop_2Emin_2Efun(tyop_2Eoption_2Eoption(X0),tyop_2Emin_2Ebool)),c_2Eoption_2EOPTREL_2E0(X2,X0),X3),X4),X1) )
| ( app_2E2(X2,tyop_2Eoption_2Eoption(X2),c_2Eoption_2ESOME_2E0(X2),sK3(X2,X0,X3,X4,X1)) = X4 )
| ( c_2Eoption_2ENONE_2E0(X0) = X1 ) ),
inference(resolution,[],[f292,f276]) ).
tff(f1218,plain,
! [X0: $tType,X2: $tType,X3: tyop_2Emin_2Efun(X0,tyop_2Emin_2Efun(X2,tyop_2Emin_2Ebool)),X1: tyop_2Eoption_2Eoption(X0),X4: tyop_2Eoption_2Eoption(X2)] :
( ( c_2Ebool_2EF_2E0 = app_2E2(tyop_2Eoption_2Eoption(X2),tyop_2Emin_2Ebool,app_2E2(tyop_2Eoption_2Eoption(X0),tyop_2Emin_2Efun(tyop_2Eoption_2Eoption(X2),tyop_2Emin_2Ebool),app_2E2(tyop_2Emin_2Efun(X0,tyop_2Emin_2Efun(X2,tyop_2Emin_2Ebool)),tyop_2Emin_2Efun(tyop_2Eoption_2Eoption(X0),tyop_2Emin_2Efun(tyop_2Eoption_2Eoption(X2),tyop_2Emin_2Ebool)),c_2Eoption_2EOPTREL_2E0(X0,X2),X3),X1),X4) )
| ( app_2E2(X0,tyop_2Eoption_2Eoption(X0),c_2Eoption_2ESOME_2E0(X0),sK3(X0,X2,X3,X1,X4)) = X1 )
| ( c_2Eoption_2ENONE_2E0(X0) = X1 ) ),
inference(resolution,[],[f295,f276]) ).
tff(f1229,plain,
! [X0: $tType,X2: $tType,X3: tyop_2Emin_2Efun(X0,tyop_2Emin_2Efun(X2,tyop_2Emin_2Ebool)),X1: tyop_2Eoption_2Eoption(X0),X4: tyop_2Eoption_2Eoption(X2)] :
( ( c_2Ebool_2EF_2E0 = app_2E2(tyop_2Eoption_2Eoption(X2),tyop_2Emin_2Ebool,app_2E2(tyop_2Eoption_2Eoption(X0),tyop_2Emin_2Efun(tyop_2Eoption_2Eoption(X2),tyop_2Emin_2Ebool),app_2E2(tyop_2Emin_2Efun(X0,tyop_2Emin_2Efun(X2,tyop_2Emin_2Ebool)),tyop_2Emin_2Efun(tyop_2Eoption_2Eoption(X0),tyop_2Emin_2Efun(tyop_2Eoption_2Eoption(X2),tyop_2Emin_2Ebool)),c_2Eoption_2EOPTREL_2E0(X0,X2),X3),X1),X4) )
| ( app_2E2(X2,tyop_2Eoption_2Eoption(X2),c_2Eoption_2ESOME_2E0(X2),sK4(X0,X2,X3,X1,X4)) = X4 )
| ( c_2Eoption_2ENONE_2E0(X0) = X1 ) ),
inference(resolution,[],[f296,f276]) ).
tff(f1237,plain,
! [X1: $tType,X0: $tType,X2: tyop_2Emin_2Efun(X1,tyop_2Emin_2Efun(X0,tyop_2Emin_2Ebool)),X3: X1,X4: X0,X5: tyop_2Emin_2Ebool] :
( p(app_2E2(X0,tyop_2Emin_2Ebool,app_2E2(X1,tyop_2Emin_2Efun(X0,tyop_2Emin_2Ebool),X2,X3),X4))
| p(X5)
| ( 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),app_2E2(X1,tyop_2Eoption_2Eoption(X1),c_2Eoption_2ESOME_2E0(X1),X3)),app_2E2(X0,tyop_2Eoption_2Eoption(X0),c_2Eoption_2ESOME_2E0(X0),X4)) = X5 ) ),
inference(resolution,[],[f298,f223]) ).
tff(f1865,plain,
( ! [X0: tyop_2Emin_2Ebool] :
( ( c_2Ebool_2ET_2E0 != c_2Ebool_2ET_2E0 )
| ( app_2E2(tyop_2Eoption_2Eoption(sK5),tyop_2Emin_2Ebool,app_2E2(tyop_2Eoption_2Eoption(sK5),tyop_2Emin_2Efun(tyop_2Eoption_2Eoption(sK5),tyop_2Emin_2Ebool),app_2E2(tyop_2Emin_2Efun(sK5,tyop_2Emin_2Efun(sK5,tyop_2Emin_2Ebool)),tyop_2Emin_2Efun(tyop_2Eoption_2Eoption(sK5),tyop_2Emin_2Efun(tyop_2Eoption_2Eoption(sK5),tyop_2Emin_2Ebool)),c_2Eoption_2EOPTREL_2E0(sK5,sK5),sK8),c_2Eoption_2ENONE_2E0(sK5)),c_2Eoption_2ENONE_2E0(sK5)) = X0 )
| ( c_2Ebool_2ET_2E0 = X0 ) )
| spl9_1 ),
inference(superposition,[],[f303,f353]) ).
tff(f1926,plain,
( ! [X0: tyop_2Emin_2Ebool] :
( ( app_2E2(tyop_2Eoption_2Eoption(sK5),tyop_2Emin_2Ebool,app_2E2(tyop_2Eoption_2Eoption(sK5),tyop_2Emin_2Efun(tyop_2Eoption_2Eoption(sK5),tyop_2Emin_2Ebool),app_2E2(tyop_2Emin_2Efun(sK5,tyop_2Emin_2Efun(sK5,tyop_2Emin_2Ebool)),tyop_2Emin_2Efun(tyop_2Eoption_2Eoption(sK5),tyop_2Emin_2Efun(tyop_2Eoption_2Eoption(sK5),tyop_2Emin_2Ebool)),c_2Eoption_2EOPTREL_2E0(sK5,sK5),sK8),c_2Eoption_2ENONE_2E0(sK5)),c_2Eoption_2ENONE_2E0(sK5)) = X0 )
| ( c_2Ebool_2ET_2E0 = X0 ) )
| spl9_1 ),
inference(trivial_inequality_removal,[],[f1865]) ).
tff(f2182,plain,
( ! [X0: tyop_2Emin_2Ebool,X1: tyop_2Emin_2Ebool] :
( p(c_2Ebool_2ET_2E0)
| p(X0)
| ~ p(X1) )
| ~ spl9_9 ),
inference(superposition,[],[f249,f362]) ).
tff(f2277,plain,
( ! [X0: tyop_2Emin_2Ebool,X1: tyop_2Emin_2Ebool] :
( p(X0)
| ~ p(X1) )
| spl9_5
| ~ spl9_9 ),
inference(forward_subsumption_resolution,[],[f2182,f319]) ).
tff(f2288,plain,
( spl9_8
| spl9_7
| spl9_5
| ~ spl9_9 ),
inference(avatar_split_clause,[],[f2277,f361,f318,f330,f335]) ).
tff(f2346,plain,
( ! [X0: tyop_2Emin_2Ebool] :
( ~ p(X0)
| ( c_2Ebool_2ET_2E0 = X0 ) )
| spl9_1 ),
inference(superposition,[],[f291,f1926]) ).
tff(f2464,plain,
( ! [X0: tyop_2Emin_2Ebool] : ( c_2Ebool_2ET_2E0 = X0 )
| spl9_1 ),
inference(forward_subsumption_resolution,[],[f2346,f280]) ).
tff(f2473,plain,
( spl9_9
| spl9_1 ),
inference(avatar_split_clause,[],[f2464,f301,f361]) ).
tff(f2513,definition,
( spl9_48
<=> ( c_2Ebool_2ET_2E0 = app_2E2(tyop_2Eoption_2Eoption(sK5),tyop_2Emin_2Ebool,app_2E2(tyop_2Eoption_2Eoption(sK5),tyop_2Emin_2Efun(tyop_2Eoption_2Eoption(sK5),tyop_2Emin_2Ebool),app_2E2(tyop_2Emin_2Efun(sK5,tyop_2Emin_2Efun(sK5,tyop_2Emin_2Ebool)),tyop_2Emin_2Efun(tyop_2Eoption_2Eoption(sK5),tyop_2Emin_2Efun(tyop_2Eoption_2Eoption(sK5),tyop_2Emin_2Ebool)),c_2Eoption_2EOPTREL_2E0(sK5,sK5),sK8),app_2E2(sK5,tyop_2Eoption_2Eoption(sK5),c_2Eoption_2ESOME_2E0(sK5),sK7)),app_2E2(sK5,tyop_2Eoption_2Eoption(sK5),c_2Eoption_2ESOME_2E0(sK5),sK6)) ) ),
introduced(definition,[new_symbols(definition,[spl9_48])],[avatar_definition]) ).
tff(f2515,plain,
( ( c_2Ebool_2ET_2E0 = app_2E2(tyop_2Eoption_2Eoption(sK5),tyop_2Emin_2Ebool,app_2E2(tyop_2Eoption_2Eoption(sK5),tyop_2Emin_2Efun(tyop_2Eoption_2Eoption(sK5),tyop_2Emin_2Ebool),app_2E2(tyop_2Emin_2Efun(sK5,tyop_2Emin_2Efun(sK5,tyop_2Emin_2Ebool)),tyop_2Emin_2Efun(tyop_2Eoption_2Eoption(sK5),tyop_2Emin_2Efun(tyop_2Eoption_2Eoption(sK5),tyop_2Emin_2Ebool)),c_2Eoption_2EOPTREL_2E0(sK5,sK5),sK8),app_2E2(sK5,tyop_2Eoption_2Eoption(sK5),c_2Eoption_2ESOME_2E0(sK5),sK7)),app_2E2(sK5,tyop_2Eoption_2Eoption(sK5),c_2Eoption_2ESOME_2E0(sK5),sK6)) )
| ~ spl9_48 ),
inference(avatar_component_clause,[],[f2513]) ).
tff(f2517,definition,
( spl9_49
<=> ( c_2Ebool_2EF_2E0 = app_2E2(sK5,tyop_2Emin_2Ebool,app_2E2(sK5,tyop_2Emin_2Efun(sK5,tyop_2Emin_2Ebool),sK8,sK7),sK6) ) ),
introduced(definition,[new_symbols(definition,[spl9_49])],[avatar_definition]) ).
tff(f2518,plain,
( ( c_2Ebool_2EF_2E0 = app_2E2(sK5,tyop_2Emin_2Ebool,app_2E2(sK5,tyop_2Emin_2Efun(sK5,tyop_2Emin_2Ebool),sK8,sK7),sK6) )
| ~ spl9_49 ),
inference(avatar_component_clause,[],[f2517]) ).
tff(f2565,definition,
( spl9_55
<=> p(app_2E2(sK5,tyop_2Emin_2Ebool,app_2E2(sK5,tyop_2Emin_2Efun(sK5,tyop_2Emin_2Ebool),sK8,sK7),sK6)) ),
introduced(definition,[new_symbols(definition,[spl9_55])],[avatar_definition]) ).
tff(f2566,plain,
( p(app_2E2(sK5,tyop_2Emin_2Ebool,app_2E2(sK5,tyop_2Emin_2Efun(sK5,tyop_2Emin_2Ebool),sK8,sK7),sK6))
| ~ spl9_55 ),
inference(avatar_component_clause,[],[f2565]) ).
tff(f2567,plain,
( ~ p(app_2E2(sK5,tyop_2Emin_2Ebool,app_2E2(sK5,tyop_2Emin_2Efun(sK5,tyop_2Emin_2Ebool),sK8,sK7),sK6))
| spl9_55 ),
inference(avatar_component_clause,[],[f2565]) ).
tff(f2582,definition,
( spl9_57
<=> ( app_2E2(sK5,tyop_2Eoption_2Eoption(sK5),c_2Eoption_2ESOME_2E0(sK5),sK7) = app_2E2(sK5,tyop_2Eoption_2Eoption(sK5),c_2Eoption_2ESOME_2E0(sK5),sK3(sK5,sK5,sK8,app_2E2(sK5,tyop_2Eoption_2Eoption(sK5),c_2Eoption_2ESOME_2E0(sK5),sK7),app_2E2(sK5,tyop_2Eoption_2Eoption(sK5),c_2Eoption_2ESOME_2E0(sK5),sK6))) ) ),
introduced(definition,[new_symbols(definition,[spl9_57])],[avatar_definition]) ).
tff(f2584,plain,
( ( app_2E2(sK5,tyop_2Eoption_2Eoption(sK5),c_2Eoption_2ESOME_2E0(sK5),sK7) = app_2E2(sK5,tyop_2Eoption_2Eoption(sK5),c_2Eoption_2ESOME_2E0(sK5),sK3(sK5,sK5,sK8,app_2E2(sK5,tyop_2Eoption_2Eoption(sK5),c_2Eoption_2ESOME_2E0(sK5),sK7),app_2E2(sK5,tyop_2Eoption_2Eoption(sK5),c_2Eoption_2ESOME_2E0(sK5),sK6))) )
| ~ spl9_57 ),
inference(avatar_component_clause,[],[f2582]) ).
tff(f2587,definition,
( spl9_58
<=> ( app_2E2(sK5,tyop_2Eoption_2Eoption(sK5),c_2Eoption_2ESOME_2E0(sK5),sK6) = app_2E2(sK5,tyop_2Eoption_2Eoption(sK5),c_2Eoption_2ESOME_2E0(sK5),sK4(sK5,sK5,sK8,app_2E2(sK5,tyop_2Eoption_2Eoption(sK5),c_2Eoption_2ESOME_2E0(sK5),sK7),app_2E2(sK5,tyop_2Eoption_2Eoption(sK5),c_2Eoption_2ESOME_2E0(sK5),sK6))) ) ),
introduced(definition,[new_symbols(definition,[spl9_58])],[avatar_definition]) ).
tff(f2589,plain,
( ( app_2E2(sK5,tyop_2Eoption_2Eoption(sK5),c_2Eoption_2ESOME_2E0(sK5),sK6) = app_2E2(sK5,tyop_2Eoption_2Eoption(sK5),c_2Eoption_2ESOME_2E0(sK5),sK4(sK5,sK5,sK8,app_2E2(sK5,tyop_2Eoption_2Eoption(sK5),c_2Eoption_2ESOME_2E0(sK5),sK7),app_2E2(sK5,tyop_2Eoption_2Eoption(sK5),c_2Eoption_2ESOME_2E0(sK5),sK6))) )
| ~ spl9_58 ),
inference(avatar_component_clause,[],[f2587]) ).
tff(f2614,plain,
( ( sK3(sK5,sK5,sK8,app_2E2(sK5,tyop_2Eoption_2Eoption(sK5),c_2Eoption_2ESOME_2E0(sK5),sK7),app_2E2(sK5,tyop_2Eoption_2Eoption(sK5),c_2Eoption_2ESOME_2E0(sK5),sK6)) = app_2E2(tyop_2Eoption_2Eoption(sK5),sK5,c_2Eoption_2ETHE_2E0(sK5),app_2E2(sK5,tyop_2Eoption_2Eoption(sK5),c_2Eoption_2ESOME_2E0(sK5),sK7)) )
| ~ spl9_57 ),
inference(superposition,[],[f178,f2584]) ).
tff(f2626,plain,
( ( sK7 = sK3(sK5,sK5,sK8,app_2E2(sK5,tyop_2Eoption_2Eoption(sK5),c_2Eoption_2ESOME_2E0(sK5),sK7),app_2E2(sK5,tyop_2Eoption_2Eoption(sK5),c_2Eoption_2ESOME_2E0(sK5),sK6)) )
| ~ spl9_57 ),
inference(forward_demodulation,[],[f2614,f178]) ).
tff(f2627,plain,
( ( sK4(sK5,sK5,sK8,app_2E2(sK5,tyop_2Eoption_2Eoption(sK5),c_2Eoption_2ESOME_2E0(sK5),sK7),app_2E2(sK5,tyop_2Eoption_2Eoption(sK5),c_2Eoption_2ESOME_2E0(sK5),sK6)) = app_2E2(tyop_2Eoption_2Eoption(sK5),sK5,c_2Eoption_2ETHE_2E0(sK5),app_2E2(sK5,tyop_2Eoption_2Eoption(sK5),c_2Eoption_2ESOME_2E0(sK5),sK6)) )
| ~ spl9_58 ),
inference(superposition,[],[f178,f2589]) ).
tff(f2639,plain,
( ( sK6 = sK4(sK5,sK5,sK8,app_2E2(sK5,tyop_2Eoption_2Eoption(sK5),c_2Eoption_2ESOME_2E0(sK5),sK7),app_2E2(sK5,tyop_2Eoption_2Eoption(sK5),c_2Eoption_2ESOME_2E0(sK5),sK6)) )
| ~ spl9_58 ),
inference(forward_demodulation,[],[f2627,f178]) ).
tff(f5435,plain,
( ( c_2Ebool_2EF_2E0 = app_2E2(sK5,tyop_2Emin_2Ebool,app_2E2(sK5,tyop_2Emin_2Efun(sK5,tyop_2Emin_2Ebool),sK8,sK7),sK6) )
| ~ spl9_55 ),
inference(resolution,[],[f2566,f276]) ).
tff(f5465,plain,
( spl9_49
| ~ spl9_55 ),
inference(avatar_split_clause,[],[f5435,f2565,f2517]) ).
tff(f15910,plain,
( ( c_2Ebool_2EF_2E0 != c_2Ebool_2EF_2E0 )
| ( c_2Eoption_2ENONE_2E0(sK5) = app_2E2(sK5,tyop_2Eoption_2Eoption(sK5),c_2Eoption_2ESOME_2E0(sK5),sK3(sK5,sK5,sK8,c_2Eoption_2ENONE_2E0(sK5),app_2E2(sK5,tyop_2Eoption_2Eoption(sK5),c_2Eoption_2ESOME_2E0(sK5),sK6))) )
| ( c_2Eoption_2ENONE_2E0(sK5) = app_2E2(sK5,tyop_2Eoption_2Eoption(sK5),c_2Eoption_2ESOME_2E0(sK5),sK6) )
| spl9_3 ),
inference(superposition,[],[f311,f1196]) ).
tff(f15938,plain,
( ( c_2Eoption_2ENONE_2E0(sK5) = app_2E2(sK5,tyop_2Eoption_2Eoption(sK5),c_2Eoption_2ESOME_2E0(sK5),sK3(sK5,sK5,sK8,c_2Eoption_2ENONE_2E0(sK5),app_2E2(sK5,tyop_2Eoption_2Eoption(sK5),c_2Eoption_2ESOME_2E0(sK5),sK6))) )
| ( c_2Eoption_2ENONE_2E0(sK5) = app_2E2(sK5,tyop_2Eoption_2Eoption(sK5),c_2Eoption_2ESOME_2E0(sK5),sK6) )
| spl9_3 ),
inference(trivial_inequality_removal,[],[f15910]) ).
tff(f15949,plain,
( ( c_2Eoption_2ENONE_2E0(sK5) = app_2E2(sK5,tyop_2Eoption_2Eoption(sK5),c_2Eoption_2ESOME_2E0(sK5),sK6) )
| spl9_3 ),
inference(forward_subsumption_resolution,[],[f15938,f179]) ).
tff(f15953,plain,
( $false
| spl9_3 ),
inference(forward_subsumption_resolution,[],[f15949,f179]) ).
tff(f15954,plain,
spl9_3,
inference(avatar_contradiction_clause,[],[f15953]) ).
tff(f16277,plain,
( ( c_2Ebool_2EF_2E0 != c_2Ebool_2EF_2E0 )
| ( c_2Eoption_2ENONE_2E0(sK5) = app_2E2(sK5,tyop_2Eoption_2Eoption(sK5),c_2Eoption_2ESOME_2E0(sK5),sK4(sK5,sK5,sK8,app_2E2(sK5,tyop_2Eoption_2Eoption(sK5),c_2Eoption_2ESOME_2E0(sK5),sK7),c_2Eoption_2ENONE_2E0(sK5))) )
| ( c_2Eoption_2ENONE_2E0(sK5) = app_2E2(sK5,tyop_2Eoption_2Eoption(sK5),c_2Eoption_2ESOME_2E0(sK5),sK7) )
| spl9_2 ),
inference(superposition,[],[f307,f1229]) ).
tff(f16303,plain,
( ( c_2Eoption_2ENONE_2E0(sK5) = app_2E2(sK5,tyop_2Eoption_2Eoption(sK5),c_2Eoption_2ESOME_2E0(sK5),sK4(sK5,sK5,sK8,app_2E2(sK5,tyop_2Eoption_2Eoption(sK5),c_2Eoption_2ESOME_2E0(sK5),sK7),c_2Eoption_2ENONE_2E0(sK5))) )
| ( c_2Eoption_2ENONE_2E0(sK5) = app_2E2(sK5,tyop_2Eoption_2Eoption(sK5),c_2Eoption_2ESOME_2E0(sK5),sK7) )
| spl9_2 ),
inference(trivial_inequality_removal,[],[f16277]) ).
tff(f16314,plain,
( ( c_2Eoption_2ENONE_2E0(sK5) = app_2E2(sK5,tyop_2Eoption_2Eoption(sK5),c_2Eoption_2ESOME_2E0(sK5),sK7) )
| spl9_2 ),
inference(forward_subsumption_resolution,[],[f16303,f179]) ).
tff(f16318,plain,
( $false
| spl9_2 ),
inference(forward_subsumption_resolution,[],[f16314,f179]) ).
tff(f16319,plain,
spl9_2,
inference(avatar_contradiction_clause,[],[f16318]) ).
tff(f40787,plain,
( ~ p(app_2E2(sK5,tyop_2Emin_2Ebool,app_2E2(sK5,tyop_2Emin_2Efun(sK5,tyop_2Emin_2Ebool),sK8,sK3(sK5,sK5,sK8,app_2E2(sK5,tyop_2Eoption_2Eoption(sK5),c_2Eoption_2ESOME_2E0(sK5),sK7),app_2E2(sK5,tyop_2Eoption_2Eoption(sK5),c_2Eoption_2ESOME_2E0(sK5),sK6))),sK6))
| ( c_2Eoption_2ENONE_2E0(sK5) = app_2E2(sK5,tyop_2Eoption_2Eoption(sK5),c_2Eoption_2ESOME_2E0(sK5),sK7) )
| p(app_2E2(tyop_2Eoption_2Eoption(sK5),tyop_2Emin_2Ebool,app_2E2(tyop_2Eoption_2Eoption(sK5),tyop_2Emin_2Efun(tyop_2Eoption_2Eoption(sK5),tyop_2Emin_2Ebool),app_2E2(tyop_2Emin_2Efun(sK5,tyop_2Emin_2Efun(sK5,tyop_2Emin_2Ebool)),tyop_2Emin_2Efun(tyop_2Eoption_2Eoption(sK5),tyop_2Emin_2Efun(tyop_2Eoption_2Eoption(sK5),tyop_2Emin_2Ebool)),c_2Eoption_2EOPTREL_2E0(sK5,sK5),sK8),app_2E2(sK5,tyop_2Eoption_2Eoption(sK5),c_2Eoption_2ESOME_2E0(sK5),sK7)),app_2E2(sK5,tyop_2Eoption_2Eoption(sK5),c_2Eoption_2ESOME_2E0(sK5),sK6)))
| ~ spl9_58 ),
inference(superposition,[],[f297,f2639]) ).
tff(f40790,plain,
( ~ p(app_2E2(sK5,tyop_2Emin_2Ebool,app_2E2(sK5,tyop_2Emin_2Efun(sK5,tyop_2Emin_2Ebool),sK8,sK3(sK5,sK5,sK8,app_2E2(sK5,tyop_2Eoption_2Eoption(sK5),c_2Eoption_2ESOME_2E0(sK5),sK7),app_2E2(sK5,tyop_2Eoption_2Eoption(sK5),c_2Eoption_2ESOME_2E0(sK5),sK6))),sK6))
| p(app_2E2(tyop_2Eoption_2Eoption(sK5),tyop_2Emin_2Ebool,app_2E2(tyop_2Eoption_2Eoption(sK5),tyop_2Emin_2Efun(tyop_2Eoption_2Eoption(sK5),tyop_2Emin_2Ebool),app_2E2(tyop_2Emin_2Efun(sK5,tyop_2Emin_2Efun(sK5,tyop_2Emin_2Ebool)),tyop_2Emin_2Efun(tyop_2Eoption_2Eoption(sK5),tyop_2Emin_2Efun(tyop_2Eoption_2Eoption(sK5),tyop_2Emin_2Ebool)),c_2Eoption_2EOPTREL_2E0(sK5,sK5),sK8),app_2E2(sK5,tyop_2Eoption_2Eoption(sK5),c_2Eoption_2ESOME_2E0(sK5),sK7)),app_2E2(sK5,tyop_2Eoption_2Eoption(sK5),c_2Eoption_2ESOME_2E0(sK5),sK6)))
| ~ spl9_58 ),
inference(forward_subsumption_resolution,[],[f40787,f179]) ).
tff(f40792,plain,
( ~ p(app_2E2(sK5,tyop_2Emin_2Ebool,app_2E2(sK5,tyop_2Emin_2Efun(sK5,tyop_2Emin_2Ebool),sK8,sK7),sK6))
| p(app_2E2(tyop_2Eoption_2Eoption(sK5),tyop_2Emin_2Ebool,app_2E2(tyop_2Eoption_2Eoption(sK5),tyop_2Emin_2Efun(tyop_2Eoption_2Eoption(sK5),tyop_2Emin_2Ebool),app_2E2(tyop_2Emin_2Efun(sK5,tyop_2Emin_2Efun(sK5,tyop_2Emin_2Ebool)),tyop_2Emin_2Efun(tyop_2Eoption_2Eoption(sK5),tyop_2Emin_2Efun(tyop_2Eoption_2Eoption(sK5),tyop_2Emin_2Ebool)),c_2Eoption_2EOPTREL_2E0(sK5,sK5),sK8),app_2E2(sK5,tyop_2Eoption_2Eoption(sK5),c_2Eoption_2ESOME_2E0(sK5),sK7)),app_2E2(sK5,tyop_2Eoption_2Eoption(sK5),c_2Eoption_2ESOME_2E0(sK5),sK6)))
| ~ spl9_57
| ~ spl9_58 ),
inference(forward_demodulation,[],[f40790,f2626]) ).
tff(f40992,plain,
( ~ p(c_2Ebool_2EF_2E0)
| p(app_2E2(tyop_2Eoption_2Eoption(sK5),tyop_2Emin_2Ebool,app_2E2(tyop_2Eoption_2Eoption(sK5),tyop_2Emin_2Efun(tyop_2Eoption_2Eoption(sK5),tyop_2Emin_2Ebool),app_2E2(tyop_2Emin_2Efun(sK5,tyop_2Emin_2Efun(sK5,tyop_2Emin_2Ebool)),tyop_2Emin_2Efun(tyop_2Eoption_2Eoption(sK5),tyop_2Emin_2Efun(tyop_2Eoption_2Eoption(sK5),tyop_2Emin_2Ebool)),c_2Eoption_2EOPTREL_2E0(sK5,sK5),sK8),app_2E2(sK5,tyop_2Eoption_2Eoption(sK5),c_2Eoption_2ESOME_2E0(sK5),sK7)),app_2E2(sK5,tyop_2Eoption_2Eoption(sK5),c_2Eoption_2ESOME_2E0(sK5),sK6)))
| ~ spl9_49
| ~ spl9_57
| ~ spl9_58 ),
inference(forward_demodulation,[],[f40792,f2518]) ).
tff(f41255,plain,
( p(app_2E2(tyop_2Eoption_2Eoption(sK5),tyop_2Emin_2Ebool,app_2E2(tyop_2Eoption_2Eoption(sK5),tyop_2Emin_2Efun(tyop_2Eoption_2Eoption(sK5),tyop_2Emin_2Ebool),app_2E2(tyop_2Emin_2Efun(sK5,tyop_2Emin_2Efun(sK5,tyop_2Emin_2Ebool)),tyop_2Emin_2Efun(tyop_2Eoption_2Eoption(sK5),tyop_2Emin_2Efun(tyop_2Eoption_2Eoption(sK5),tyop_2Emin_2Ebool)),c_2Eoption_2EOPTREL_2E0(sK5,sK5),sK8),app_2E2(sK5,tyop_2Eoption_2Eoption(sK5),c_2Eoption_2ESOME_2E0(sK5),sK7)),app_2E2(sK5,tyop_2Eoption_2Eoption(sK5),c_2Eoption_2ESOME_2E0(sK5),sK6)))
| ~ spl9_6
| ~ spl9_49
| ~ spl9_57
| ~ spl9_58 ),
inference(forward_subsumption_resolution,[],[f40992,f324]) ).
tff(f41369,plain,
( p(c_2Ebool_2ET_2E0)
| ~ spl9_6
| ~ spl9_48
| ~ spl9_49
| ~ spl9_57
| ~ spl9_58 ),
inference(forward_demodulation,[],[f41255,f2515]) ).
tff(f41431,plain,
( $false
| spl9_5
| ~ spl9_6
| ~ spl9_48
| ~ spl9_49
| ~ spl9_57
| ~ spl9_58 ),
inference(forward_subsumption_resolution,[],[f41369,f319]) ).
tff(f41432,plain,
( spl9_5
| ~ spl9_6
| ~ spl9_48
| ~ spl9_49
| ~ spl9_57
| ~ spl9_58 ),
inference(avatar_contradiction_clause,[],[f41431]) ).
tff(f41542,plain,
( ( c_2Ebool_2EF_2E0 != app_2E2(sK5,tyop_2Emin_2Ebool,app_2E2(sK5,tyop_2Emin_2Efun(sK5,tyop_2Emin_2Ebool),sK8,sK7),sK6) )
| ( app_2E2(sK5,tyop_2Eoption_2Eoption(sK5),c_2Eoption_2ESOME_2E0(sK5),sK6) = app_2E2(sK5,tyop_2Eoption_2Eoption(sK5),c_2Eoption_2ESOME_2E0(sK5),sK4(sK5,sK5,sK8,app_2E2(sK5,tyop_2Eoption_2Eoption(sK5),c_2Eoption_2ESOME_2E0(sK5),sK7),app_2E2(sK5,tyop_2Eoption_2Eoption(sK5),c_2Eoption_2ESOME_2E0(sK5),sK6))) )
| ( c_2Eoption_2ENONE_2E0(sK5) = app_2E2(sK5,tyop_2Eoption_2Eoption(sK5),c_2Eoption_2ESOME_2E0(sK5),sK7) )
| spl9_4 ),
inference(superposition,[],[f315,f1229]) ).
tff(f41543,plain,
( ( c_2Ebool_2EF_2E0 != app_2E2(sK5,tyop_2Emin_2Ebool,app_2E2(sK5,tyop_2Emin_2Efun(sK5,tyop_2Emin_2Ebool),sK8,sK7),sK6) )
| ( app_2E2(sK5,tyop_2Eoption_2Eoption(sK5),c_2Eoption_2ESOME_2E0(sK5),sK7) = app_2E2(sK5,tyop_2Eoption_2Eoption(sK5),c_2Eoption_2ESOME_2E0(sK5),sK3(sK5,sK5,sK8,app_2E2(sK5,tyop_2Eoption_2Eoption(sK5),c_2Eoption_2ESOME_2E0(sK5),sK7),app_2E2(sK5,tyop_2Eoption_2Eoption(sK5),c_2Eoption_2ESOME_2E0(sK5),sK6))) )
| ( c_2Eoption_2ENONE_2E0(sK5) = app_2E2(sK5,tyop_2Eoption_2Eoption(sK5),c_2Eoption_2ESOME_2E0(sK5),sK7) )
| spl9_4 ),
inference(superposition,[],[f315,f1218]) ).
tff(f41546,plain,
( ( c_2Ebool_2EF_2E0 != app_2E2(sK5,tyop_2Emin_2Ebool,app_2E2(sK5,tyop_2Emin_2Efun(sK5,tyop_2Emin_2Ebool),sK8,sK7),sK6) )
| ( c_2Ebool_2ET_2E0 = app_2E2(tyop_2Eoption_2Eoption(sK5),tyop_2Emin_2Ebool,app_2E2(tyop_2Eoption_2Eoption(sK5),tyop_2Emin_2Efun(tyop_2Eoption_2Eoption(sK5),tyop_2Emin_2Ebool),app_2E2(tyop_2Emin_2Efun(sK5,tyop_2Emin_2Efun(sK5,tyop_2Emin_2Ebool)),tyop_2Emin_2Efun(tyop_2Eoption_2Eoption(sK5),tyop_2Emin_2Efun(tyop_2Eoption_2Eoption(sK5),tyop_2Emin_2Ebool)),c_2Eoption_2EOPTREL_2E0(sK5,sK5),sK8),app_2E2(sK5,tyop_2Eoption_2Eoption(sK5),c_2Eoption_2ESOME_2E0(sK5),sK7)),app_2E2(sK5,tyop_2Eoption_2Eoption(sK5),c_2Eoption_2ESOME_2E0(sK5),sK6)) )
| spl9_4 ),
inference(superposition,[],[f315,f64]) ).
tff(f41601,plain,
( spl9_48
| ~ spl9_49
| spl9_4 ),
inference(avatar_split_clause,[],[f41546,f313,f2517,f2513]) ).
tff(f41604,plain,
( ( c_2Ebool_2EF_2E0 != app_2E2(sK5,tyop_2Emin_2Ebool,app_2E2(sK5,tyop_2Emin_2Efun(sK5,tyop_2Emin_2Ebool),sK8,sK7),sK6) )
| ( app_2E2(sK5,tyop_2Eoption_2Eoption(sK5),c_2Eoption_2ESOME_2E0(sK5),sK7) = app_2E2(sK5,tyop_2Eoption_2Eoption(sK5),c_2Eoption_2ESOME_2E0(sK5),sK3(sK5,sK5,sK8,app_2E2(sK5,tyop_2Eoption_2Eoption(sK5),c_2Eoption_2ESOME_2E0(sK5),sK7),app_2E2(sK5,tyop_2Eoption_2Eoption(sK5),c_2Eoption_2ESOME_2E0(sK5),sK6))) )
| spl9_4 ),
inference(forward_subsumption_resolution,[],[f41543,f179]) ).
tff(f41605,plain,
( ( c_2Ebool_2EF_2E0 != app_2E2(sK5,tyop_2Emin_2Ebool,app_2E2(sK5,tyop_2Emin_2Efun(sK5,tyop_2Emin_2Ebool),sK8,sK7),sK6) )
| ( app_2E2(sK5,tyop_2Eoption_2Eoption(sK5),c_2Eoption_2ESOME_2E0(sK5),sK6) = app_2E2(sK5,tyop_2Eoption_2Eoption(sK5),c_2Eoption_2ESOME_2E0(sK5),sK4(sK5,sK5,sK8,app_2E2(sK5,tyop_2Eoption_2Eoption(sK5),c_2Eoption_2ESOME_2E0(sK5),sK7),app_2E2(sK5,tyop_2Eoption_2Eoption(sK5),c_2Eoption_2ESOME_2E0(sK5),sK6))) )
| spl9_4 ),
inference(forward_subsumption_resolution,[],[f41542,f179]) ).
tff(f41617,plain,
( spl9_57
| ~ spl9_49
| spl9_4 ),
inference(avatar_split_clause,[],[f41604,f313,f2517,f2582]) ).
tff(f41618,plain,
( spl9_58
| ~ spl9_49
| spl9_4 ),
inference(avatar_split_clause,[],[f41605,f313,f2517,f2587]) ).
tff(f41649,plain,
( ! [X0: tyop_2Emin_2Ebool] :
( p(X0)
| ( app_2E2(tyop_2Eoption_2Eoption(sK5),tyop_2Emin_2Ebool,app_2E2(tyop_2Eoption_2Eoption(sK5),tyop_2Emin_2Efun(tyop_2Eoption_2Eoption(sK5),tyop_2Emin_2Ebool),app_2E2(tyop_2Emin_2Efun(sK5,tyop_2Emin_2Efun(sK5,tyop_2Emin_2Ebool)),tyop_2Emin_2Efun(tyop_2Eoption_2Eoption(sK5),tyop_2Emin_2Efun(tyop_2Eoption_2Eoption(sK5),tyop_2Emin_2Ebool)),c_2Eoption_2EOPTREL_2E0(sK5,sK5),sK8),app_2E2(sK5,tyop_2Eoption_2Eoption(sK5),c_2Eoption_2ESOME_2E0(sK5),sK7)),app_2E2(sK5,tyop_2Eoption_2Eoption(sK5),c_2Eoption_2ESOME_2E0(sK5),sK6)) = X0 ) )
| spl9_55 ),
inference(resolution,[],[f2567,f1237]) ).
tff(f52203,plain,
( ( app_2E2(sK5,tyop_2Emin_2Ebool,app_2E2(sK5,tyop_2Emin_2Efun(sK5,tyop_2Emin_2Ebool),sK8,sK7),sK6) = app_2E2(tyop_2Eoption_2Eoption(sK5),tyop_2Emin_2Ebool,app_2E2(tyop_2Eoption_2Eoption(sK5),tyop_2Emin_2Efun(tyop_2Eoption_2Eoption(sK5),tyop_2Emin_2Ebool),app_2E2(tyop_2Emin_2Efun(sK5,tyop_2Emin_2Efun(sK5,tyop_2Emin_2Ebool)),tyop_2Emin_2Efun(tyop_2Eoption_2Eoption(sK5),tyop_2Emin_2Efun(tyop_2Eoption_2Eoption(sK5),tyop_2Emin_2Ebool)),c_2Eoption_2EOPTREL_2E0(sK5,sK5),sK8),app_2E2(sK5,tyop_2Eoption_2Eoption(sK5),c_2Eoption_2ESOME_2E0(sK5),sK7)),app_2E2(sK5,tyop_2Eoption_2Eoption(sK5),c_2Eoption_2ESOME_2E0(sK5),sK6)) )
| spl9_55 ),
inference(resolution,[],[f41649,f2567]) ).
tff(f52236,plain,
( $false
| spl9_4
| spl9_55 ),
inference(forward_subsumption_resolution,[],[f52203,f315]) ).
tff(f52237,plain,
( spl9_4
| spl9_55 ),
inference(avatar_contradiction_clause,[],[f52236]) ).
cnf(s1,plain,
( ~ spl9_1
| ~ spl9_2
| ~ spl9_3
| ~ spl9_4 ),
inference(sat_conversion,[],[f316]) ).
cnf(s15,plain,
~ spl9_5,
inference(sat_conversion,[],[f344]) ).
cnf(s16,plain,
spl9_6,
inference(sat_conversion,[],[f345]) ).
cnf(s36,plain,
~ spl9_7,
inference(sat_conversion,[],[f636]) ).
cnf(s41,plain,
~ spl9_8,
inference(sat_conversion,[],[f657]) ).
cnf(s104,plain,
( spl9_5
| spl9_7
| spl9_8
| ~ spl9_9 ),
inference(sat_conversion,[],[f2288]) ).
cnf(s114,plain,
( spl9_1
| spl9_9 ),
inference(sat_conversion,[],[f2473]) ).
cnf(s419,plain,
( spl9_49
| ~ spl9_55 ),
inference(sat_conversion,[],[f5465]) ).
cnf(s1010,plain,
spl9_3,
inference(sat_conversion,[],[f15954]) ).
cnf(s1023,plain,
spl9_2,
inference(sat_conversion,[],[f16319]) ).
cnf(s2316,plain,
( spl9_5
| ~ spl9_6
| ~ spl9_48
| ~ spl9_49
| ~ spl9_57
| ~ spl9_58 ),
inference(sat_conversion,[],[f41432]) ).
cnf(s2353,plain,
( spl9_4
| spl9_48
| ~ spl9_49 ),
inference(sat_conversion,[],[f41601]) ).
cnf(s2365,plain,
( spl9_4
| ~ spl9_49
| spl9_57 ),
inference(sat_conversion,[],[f41617]) ).
cnf(s2366,plain,
( spl9_4
| ~ spl9_49
| spl9_58 ),
inference(sat_conversion,[],[f41618]) ).
cnf(s2912,plain,
( spl9_4
| spl9_55 ),
inference(sat_conversion,[],[f52237]) ).
cnf(s3000,plain,
~ spl9_9,
inference(rat,[],[s104,s36,s41,s15]) ).
cnf(s3002,plain,
spl9_1,
inference(rat,[],[s114,s3000]) ).
cnf(s3007,plain,
~ spl9_4,
inference(rat,[],[s1,s1010,s1023,s3002]) ).
cnf(s3008,plain,
spl9_55,
inference(rat,[],[s2912,s3007]) ).
cnf(s3010,plain,
spl9_49,
inference(rat,[],[s419,s3008]) ).
cnf(s3014,plain,
spl9_58,
inference(rat,[],[s2366,s3007,s3010]) ).
cnf(s3015,plain,
spl9_57,
inference(rat,[],[s2365,s3007,s3010]) ).
cnf(s3016,plain,
~ spl9_48,
inference(rat,[],[s2316,s3014,s3015,s15,s16,s3010]) ).
cnf(s3019,plain,
$false,
inference(rat,[],[s2353,s3007,s3010,s3016]) ).
tff(f52243,plain,
$false,
inference(avatar_sat_refutation,[],[s3019]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : ITP011_3 : TPTP v9.3.1. Bugfixed v7.5.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.11/0.38 % Computer : n011.cluster.edu
% 0.11/0.38 % Model : x86_64 x86_64
% 0.11/0.38 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.38 % Memory : 8046.5625MB
% 0.11/0.38 % OS : Linux 6.8.0-71-generic
% 0.11/0.38 % CPULimit : 300
% 0.11/0.38 % WCLimit : 300
% 0.11/0.38 % DateTime : Sun Sep 27 11:57:45 UTC 2026
% 0.11/0.38 % CPUTime :
% 0.11/0.38 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.11/0.41 Running first-order model finding
% 0.11/0.41 Running: /export/starexec/sandbox/solver/bin/vampire-ho --input_syntax tptp --output_axiom_names on --mode casc --intent sat -m 16384 --cores 7 -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 6.61/1.55 % (2268209)Will run a generic schedule for satisfiability detection.
% 6.61/1.55 % (2268217)dis+10_1_sil=32000:sp=arity:random_seed=2215585074:i=103:fgj=on_2999 on theBenchmark for (2999ds/103Mi)
% 6.61/1.55 % (2268215)% WARNING: option uhcvi not known.
% 6.61/1.55 % (2268214)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=3753684350_2999 on theBenchmark for (2999ds/0Mi)
% 6.61/1.55 % (2268215)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=1760304054:i=135531:add=off:rawr=on_2999 on theBenchmark for (2999ds/135531Mi)
% 6.61/1.55 % (2268216)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=3048879337:i=88024:add=on:rawr=on_2999 on theBenchmark for (2999ds/88024Mi)
% 6.61/1.55 % (2268219)ott+1_1_to=lpo:sil=16000:sp=reverse_arity:erd=off:random_seed=859515209:i=131_2999 on theBenchmark for (2999ds/131Mi)
% 6.61/1.55 % (2268218)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=905546128:i=116_2999 on theBenchmark for (2999ds/116Mi)
% 6.61/1.55 % (2268220)ott-3_16_to=lpo:sil=16000:sp=arity:fd=off:rp=on:random_seed=1539272627:i=159:bs=unit_only:nicw=on:fsr=off:amm=off_2999 on theBenchmark for (2999ds/159Mi)
% 6.61/1.55 % Exception at run slice level
% 6.61/1.55 User error: Finite model building is currently not compatible with polymorphism or higher-order constructs
% 6.61/1.55 % (2268228)fmb+10_1_fmbas=predicate:sil=64000:sas=cadical:random_seed=2092755744:i=714:nm=2_2999 on theBenchmark for (2999ds/714Mi)
% 6.61/1.55 % Exception at run slice level
% 6.61/1.55 User error: Finite model building is currently not compatible with polymorphism or higher-order constructs
% 6.61/1.55 % (2268217)Instruction limit reached!
% 6.61/1.55 % (2268217)------------------------------
% 6.61/1.55 % (2268217)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 6.61/1.55 % (2268217)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.61/1.55 % (2268217)CaDiCaL version: 2.1.3
% 6.61/1.55 % (2268217)Termination reason: Instruction limit
% 6.61/1.55 % (2268217)Termination phase: Saturation
% 6.61/1.55 % (2268217)Time elapsed: 0.034 s
% 6.61/1.55 % (2268217)Peak memory usage: 12 MB
% 6.61/1.55 % (2268217)Instructions burned: 105 (million)
% 6.61/1.55 % (2268231)dis+11_32_anc=none:slsqr=2,1:sil=64000:sas=cadical:lma=off:lsd=50:s2agt=8:slsqc=1:kmz=on:newcnf=on:slsq=on:random_seed=539907676:i=684:slsql=off:bs=unit_only:nicw=on:rawr=on_2999 on theBenchmark for (2999ds/684Mi)
% 6.61/1.55 % (2268230)ott+32_1_sil=16000:bsd=on:sp=const_max:bce=on:random_seed=2666126454:i=131:bd=preordered:fsd=on_2999 on theBenchmark for (2999ds/131Mi)
% 6.61/1.55 % (2268218)Instruction limit reached!
% 6.61/1.55 % (2268218)------------------------------
% 6.61/1.55 % (2268218)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 6.61/1.55 % (2268218)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.61/1.55 % (2268218)CaDiCaL version: 2.1.3
% 6.61/1.55 % (2268218)Termination reason: Instruction limit
% 6.61/1.55 % (2268218)Termination phase: Saturation
% 6.61/1.55 % (2268218)Time elapsed: 0.069 s
% 6.61/1.55 % (2268218)Peak memory usage: 13 MB
% 6.61/1.55 % (2268218)Instructions burned: 116 (million)
% 6.61/1.55 % (2268219)Instruction limit reached!
% 6.61/1.55 % (2268219)------------------------------
% 6.61/1.55 % (2268219)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 6.61/1.55 % (2268219)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.61/1.55 % (2268219)CaDiCaL version: 2.1.3
% 6.61/1.55 % (2268219)Termination reason: Instruction limit
% 6.61/1.55 % (2268219)Termination phase: Saturation
% 6.61/1.55 % (2268219)Time elapsed: 0.082 s
% 6.61/1.55 % (2268219)Peak memory usage: 13 MB
% 6.61/1.55 % (2268219)Instructions burned: 132 (million)
% 6.61/1.55 % (2268234)ott-21_1_sil=16000:fs=off:random_seed=1998274133:i=180:av=off:fsr=off_2998 on theBenchmark for (2998ds/180Mi)
% 6.61/1.55 % (2268220)Instruction limit reached!
% 6.61/1.55 % (2268220)------------------------------
% 6.61/1.55 % (2268220)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 6.61/1.55 % (2268220)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.61/1.55 % (2268220)CaDiCaL version: 2.1.3
% 6.61/1.55 % (2268220)Termination reason: Instruction limit
% 6.61/1.55 % (2268220)Termination phase: Saturation
% 6.61/1.55 % (2268220)Time elapsed: 0.098 s
% 6.61/1.55 % (2268220)Peak memory usage: 13 MB
% 6.61/1.55 % (2268220)Instructions burned: 160 (million)
% 6.61/1.55 % (2268235)dis+10_4_sil=64000:sp=reverse_arity:bsr=on:sac=on:cn=on:random_seed=206996570:i=477:bd=all_2998 on theBenchmark for (2998ds/477Mi)
% 19.66/3.21 % (2268230)Instruction limit reached!
% 19.66/3.21 % (2268230)------------------------------
% 19.66/3.21 % (2268230)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 19.66/3.21 % (2268230)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 19.66/3.21 % (2268230)CaDiCaL version: 2.1.3
% 19.66/3.21 % (2268230)Termination reason: Instruction limit
% 19.66/3.21 % (2268230)Termination phase: Saturation
% 19.66/3.21 % (2268230)Time elapsed: 0.071 s
% 19.66/3.21 % (2268230)Peak memory usage: 12 MB
% 19.66/3.21 % (2268230)Instructions burned: 131 (million)
% 19.66/3.21 % (2268237)fmb+10_1_sil=64000:erd=off:updr=off:random_seed=2486120920:fmbsr=1.3:i=865:ins=25_2998 on theBenchmark for (2998ds/865Mi)
% 19.66/3.21 % Exception at run slice level
% 19.66/3.21 User error: Finite model building is currently not compatible with polymorphism or higher-order constructs
% 19.66/3.21 % (2268239)ott+10_1_to=lpo:sil=64000:tgt=full:sp=arity:spb=goal_then_units:random_seed=2932578646:i=1179_2998 on theBenchmark for (2998ds/1179Mi)
% 19.66/3.21 % (2268241)fmb+10_1_sil=64000:erd=off:fmbss=14:random_seed=3599906868:i=889:ins=1_2998 on theBenchmark for (2998ds/889Mi)
% 19.66/3.21 % Exception at run slice level
% 19.66/3.21 User error: Finite model building is currently not compatible with polymorphism or higher-order constructs
% 19.66/3.21 % (2268244)ott+1_16_sil=32000:plsq=on:plsqc=2:sas=cadical:avsql=on:sp=reverse_frequency:plsqr=128,1:bsr=unit_only:rp=on:newcnf=on:random_seed=109127374:avsq=on:s2a=on:i=692:avsqr=8,1:kws=arity_squared:bs=unit_only:nm=2:rawr=on_2998 on theBenchmark for (2998ds/692Mi)
% 19.66/3.21 % (2268234)Instruction limit reached!
% 19.66/3.21 % (2268234)------------------------------
% 19.66/3.21 % (2268234)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 19.66/3.21 % (2268234)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 19.66/3.21 % (2268234)CaDiCaL version: 2.1.3
% 19.66/3.21 % (2268234)Termination reason: Instruction limit
% 19.66/3.21 % (2268234)Termination phase: Saturation
% 19.66/3.21 % (2268234)Time elapsed: 0.091 s
% 19.66/3.21 % (2268234)Peak memory usage: 13 MB
% 19.66/3.21 % (2268234)Instructions burned: 180 (million)
% 19.66/3.21 % (2268246)dis-10_1_anc=none:sil=64000:spb=goal:newcnf=on:cn=on:random_seed=1824724492:i=879:kws=inv_precedence:fsr=off_2997 on theBenchmark for (2997ds/879Mi)
% 19.66/3.21 % (2268231)Instruction limit reached!
% 19.66/3.21 % (2268231)------------------------------
% 19.66/3.21 % (2268231)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 19.66/3.21 % (2268231)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 19.66/3.21 % (2268231)CaDiCaL version: 2.1.3
% 19.66/3.21 % (2268231)Termination reason: Instruction limit
% 19.66/3.21 % (2268231)Termination phase: Saturation
% 19.66/3.21 % (2268231)Time elapsed: 0.179 s
% 19.66/3.21 % (2268231)Peak memory usage: 15 MB
% 19.66/3.21 % (2268231)Instructions burned: 688 (million)
% 19.66/3.21 % (2268248)fmb+10_1_sil=64000:random_seed=2598925039:i=22061:nm=2:gsp=on_2997 on theBenchmark for (2997ds/22061Mi)
% 19.66/3.21 % (2268248)WARNING: Not using GeneralSplitting currently not compatible with polymorphic/higher-order inputs.
% 19.66/3.21 % Exception at run slice level
% 19.66/3.21 User error: Finite model building is currently not compatible with polymorphism or higher-order constructs
% 19.66/3.21 % (2268250)fmb+10_1_sil=16000:sas=cadical:fmbss=20:random_seed=1142533183:i=9515:nm=5_2997 on theBenchmark for (2997ds/9515Mi)
% 19.66/3.21 % Exception at run slice level
% 19.66/3.21 User error: Finite model building is currently not compatible with polymorphism or higher-order constructs
% 19.66/3.21 % (2268252)fmb+10_1_sil=64000:sas=cadical:fmbss=8:random_seed=1435677772:fmbsr=1.7:i=920_2997 on theBenchmark for (2997ds/920Mi)
% 19.66/3.21 % Exception at run slice level
% 19.66/3.21 User error: Finite model building is currently not compatible with polymorphism or higher-order constructs
% 19.66/3.21 % (2268254)dis-4_1_sil=16000:drc=ordering:sp=const_frequency:sac=on:newcnf=on:random_seed=3570227649:i=5131_2997 on theBenchmark for (2997ds/5131Mi)
% 19.66/3.21 % (2268235)Instruction limit reached!
% 19.66/3.21 % (2268235)------------------------------
% 19.66/3.21 % (2268235)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 19.66/3.21 % (2268235)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 20.20/3.34 % (2268235)CaDiCaL version: 2.1.3
% 20.20/3.34 % (2268235)Termination reason: Instruction limit
% 20.20/3.34 % (2268235)Termination phase: Saturation
% 20.20/3.34 % (2268235)Time elapsed: 0.275 s
% 20.20/3.34 % (2268235)Peak memory usage: 14 MB
% 20.20/3.34 % (2268235)Instructions burned: 478 (million)
% 20.20/3.34 % (2268256)ott+11_16_sil=32000:fde=unused:bsd=on:sas=cadical:sp=arity:spb=units:lsd=10:nwc=3:random_seed=639910847:i=1472:ins=7:fdi=8:gsp=on_2995 on theBenchmark for (2995ds/1472Mi)
% 20.20/3.34 % (2268256)WARNING: Not using GeneralSplitting currently not compatible with polymorphic/higher-order inputs.
% 20.20/3.34 % (2268244)Instruction limit reached!
% 20.20/3.34 % (2268244)------------------------------
% 20.20/3.34 % (2268244)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 20.20/3.34 % (2268244)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 20.20/3.34 % (2268244)CaDiCaL version: 2.1.3
% 20.20/3.34 % (2268244)Termination reason: Instruction limit
% 20.20/3.34 % (2268244)Termination phase: Saturation
% 20.20/3.34 % (2268244)Time elapsed: 0.383 s
% 20.20/3.34 % (2268244)Peak memory usage: 17 MB
% 20.20/3.34 % (2268244)Instructions burned: 697 (million)
% 20.20/3.34 % (2268258)fmb+10_1_sil=16000:sas=cadical:bce=on:fmbss=77:random_seed=3057830093:i=6324_2994 on theBenchmark for (2994ds/6324Mi)
% 20.20/3.34 % Exception at run slice level
% 20.20/3.34 User error: Finite model building is currently not compatible with polymorphism or higher-order constructs
% 20.20/3.34 % (2268260)fmb+10_1_fmbas=function:sil=32000:sas=cadical:fmbss=16:random_seed=3995262073:fmbsr=2.30978:i=2174_2993 on theBenchmark for (2993ds/2174Mi)
% 20.20/3.34 % Exception at run slice level
% 20.20/3.34 User error: Finite model building is currently not compatible with polymorphism or higher-order constructs
% 20.20/3.34 % (2268262)ott-2_1_sil=16000:newcnf=on:random_seed=2009574472:avsq=on:i=869:avsqr=1,16:kws=inv_arity_squared_2993 on theBenchmark for (2993ds/869Mi)
% 20.20/3.34 % (2268246)Instruction limit reached!
% 20.20/3.34 % (2268246)------------------------------
% 20.20/3.34 % (2268246)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 20.20/3.34 % (2268246)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 20.20/3.34 % (2268246)CaDiCaL version: 2.1.3
% 20.20/3.34 % (2268246)Termination reason: Instruction limit
% 20.20/3.34 % (2268246)Termination phase: Saturation
% 20.20/3.34 % (2268246)Time elapsed: 0.503 s
% 20.20/3.34 % (2268246)Peak memory usage: 19 MB
% 20.20/3.34 % (2268246)Instructions burned: 880 (million)
% 20.20/3.34 % (2268264)ott+10_1_sil=32000:tgt=ground:random_seed=3566227513:i=5114:av=off_2992 on theBenchmark for (2992ds/5114Mi)
% 20.20/3.34 % (2268239)Instruction limit reached!
% 20.20/3.34 % (2268239)------------------------------
% 20.20/3.34 % (2268239)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 20.20/3.34 % (2268239)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 20.20/3.34 % (2268239)CaDiCaL version: 2.1.3
% 20.20/3.34 % (2268239)Termination reason: Instruction limit
% 20.20/3.34 % (2268239)Termination phase: Saturation
% 20.20/3.34 % (2268239)Time elapsed: 0.642 s
% 20.20/3.34 % (2268239)Peak memory usage: 17 MB
% 20.20/3.34 % (2268239)Instructions burned: 1179 (million)
% 20.20/3.34 % (2268266)fmb+10_1_sil=64000:sas=cadical:bce=on:rp=on:random_seed=882137179:i=54282_2991 on theBenchmark for (2991ds/54282Mi)
% 20.20/3.34 % Exception at run slice level
% 20.20/3.34 User error: Finite model building is currently not compatible with polymorphism or higher-order constructs
% 20.20/3.34 % (2268268)dis-11_1_sil=16000:sp=reverse_frequency:alpa=true:random_seed=4238009202:i=3512:aac=none_2991 on theBenchmark for (2991ds/3512Mi)
% 20.20/3.34 % (2268262)Instruction limit reached!
% 20.20/3.34 % (2268262)------------------------------
% 20.20/3.34 % (2268262)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 20.20/3.34 % (2268262)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 20.20/3.34 % (2268262)CaDiCaL version: 2.1.3
% 20.20/3.34 % (2268262)Termination reason: Instruction limit
% 20.20/3.34 % (2268262)Termination phase: Saturation
% 20.20/3.34 % (2268262)Time elapsed: 0.430 s
% 20.20/3.34 % (2268262)Peak memory usage: 16 MB
% 20.20/3.34 % (2268262)Instructions burned: 871 (million)
% 20.20/3.34 % (2268270)dis+21_1_sil=32000:sas=cadical:random_seed=626924600:i=3773:amm=off_2989 on theBenchmark for (2989ds/3773Mi)
% 20.20/3.34 % (2268256)Instruction limit reached!
% 20.20/3.34 % (2268256)------------------------------
% 20.20/3.34 % (2268256)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 20.20/3.34 % (2268256)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 20.20/3.34 % (2268256)CaDiCaL version: 2.1.3
% 20.20/3.34 % (2268256)Termination reason: Instruction limit
% 20.20/3.34 % (2268256)Termination phase: Saturation
% 20.20/3.34 % (2268256)Time elapsed: 0.702 s
% 20.20/3.34 % (2268256)Peak memory usage: 17 MB
% 20.20/3.34 % (2268256)Instructions burned: 1473 (million)
% 20.20/3.34 % (2268272)ott+11_1_sil=16000:gs=on:random_seed=1823595209:s2a=on:i=2251:s2at=3:kws=inv_arity_squared:nm=2:fsr=off:fsd=on_2988 on theBenchmark for (2988ds/2251Mi)
% 20.20/3.34 % (2268254)Instruction limit reached!
% 20.20/3.34 % (2268254)------------------------------
% 20.20/3.34 % (2268254)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 20.20/3.34 % (2268254)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 20.20/3.34 % (2268254)CaDiCaL version: 2.1.3
% 20.20/3.34 % (2268254)Termination reason: Instruction limit
% 20.20/3.34 % (2268254)Termination phase: Saturation
% 20.20/3.34 % (2268254)Time elapsed: 1.416 s
% 20.20/3.34 % (2268254)Peak memory usage: 33 MB
% 20.20/3.34 % (2268254)Instructions burned: 5134 (million)
% 20.20/3.34 % (2268274)fmb+10_1_fmbas=predicate:sil=64000:tgt=ground:fmbss=7:random_seed=3278719440:fmbsr=1.6:i=67534_2982 on theBenchmark for (2982ds/67534Mi)
% 20.20/3.34 % Exception at run slice level
% 20.20/3.34 User error: Finite model building is currently not compatible with polymorphism or higher-order constructs
% 20.20/3.34 % (2268276)ott-22_32_sil=16000:tgt=full:fdtod=off:sp=weighted_frequency:rnwc=on:alpa=false:random_seed=3588252134:avsq=on:i=4591:add=off:avsqr=1,16:kws=inv_arity:nm=10:ins=9:fdi=4_2982 on theBenchmark for (2982ds/4591Mi)
% 20.20/3.34 % (2268272)Instruction limit reached!
% 20.20/3.34 % (2268272)------------------------------
% 20.20/3.34 % (2268272)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 20.20/3.34 % (2268272)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 20.20/3.34 % (2268272)CaDiCaL version: 2.1.3
% 20.20/3.34 % (2268272)Termination reason: Instruction limit
% 20.20/3.34 % (2268272)Termination phase: Saturation
% 20.20/3.34 % (2268272)Time elapsed: 1.039 s
% 20.20/3.34 % (2268272)Peak memory usage: 15 MB
% 20.20/3.34 % (2268272)Instructions burned: 2253 (million)
% 20.20/3.34 % (2268278)dis+10_64_to=lpo:sil=32000:spb=intro:urr=on:sac=on:random_seed=3121692574:i=29340_2978 on theBenchmark for (2978ds/29340Mi)
% 20.20/3.34 % (2268268)Instruction limit reached!
% 20.20/3.34 % (2268268)------------------------------
% 20.20/3.34 % (2268268)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 20.20/3.34 % (2268268)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 20.20/3.34 % (2268268)CaDiCaL version: 2.1.3
% 20.20/3.34 % (2268268)Termination reason: Instruction limit
% 20.20/3.34 % (2268268)Termination phase: Saturation
% 20.20/3.34 % (2268268)Time elapsed: 1.881 s
% 20.20/3.34 % (2268268)Peak memory usage: 27 MB
% 20.20/3.34 % (2268268)Instructions burned: 3513 (million)
% 20.20/3.34 % (2268276)Instruction limit reached!
% 20.20/3.34 % (2268276)------------------------------
% 20.20/3.34 % (2268276)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 20.20/3.34 % (2268276)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 20.20/3.34 % (2268276)CaDiCaL version: 2.1.3
% 20.20/3.34 % (2268276)Termination reason: Instruction limit
% 20.20/3.34 % (2268276)Termination phase: Saturation
% 20.20/3.34 % (2268276)Time elapsed: 0.993 s
% 20.20/3.34 % (2268276)Peak memory usage: 27 MB
% 20.20/3.34 % (2268276)Instructions burned: 4596 (million)
% 20.20/3.34 % (2268280)dis-10_1_sil=64000:sas=cadical:cn=on:random_seed=2770419721:i=5211_2972 on theBenchmark for (2972ds/5211Mi)
% 20.20/3.34 % (2268281)fmb+10_1_sil=32000:sas=cadical:bce=on:fmbss=17:random_seed=1682759794:i=5497:nm=2_2972 on theBenchmark for (2972ds/5497Mi)
% 20.20/3.34 % Exception at run slice level
% 20.20/3.34 User error: Finite model building is currently not compatible with polymorphism or higher-order constructs
% 20.20/3.34 % (2268284)fmb+10_1_fmbas=predicate:sil=64000:tgt=full:sas=cadical:fmbss=15:random_seed=1825535062:fmbsr=2:i=46332_2972 on theBenchmark for (2972ds/46332Mi)
% 20.20/3.34 % Exception at run slice level
% 20.20/3.34 User error: Finite model building is currently not compatible with polymorphism or higher-order constructs
% 20.20/3.34 % (2268286)fmb+10_1_sil=128000:tgt=full:sas=cadical:fmbss=12:random_seed=1849796874:i=14071_2972 on theBenchmark for (2972ds/14071Mi)
% 20.20/3.34 % Exception at run slice level
% 20.20/3.34 User error: Finite model building is currently not compatible with polymorphism or higher-order constructs
% 20.20/3.34 % (2268288)dis+10_161_sil=128000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=3714054675:i=22565:add=on:rawr=on_2972 on theBenchmark for (2972ds/22565Mi)
% 20.20/3.34 % (2268215) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-2268209-2268215"...
% 20.20/3.34 % (2268215)...printing done.
% 20.20/3.34 % (2268215)Refutation found. Thanks to Tanya!
% 20.20/3.34 % SZS status Theorem for theBenchmark
% 20.20/3.34 % SZS output start Proof for theBenchmark
% See solution above
% 20.20/3.34 % (2268215)------------------------------
% 20.20/3.34 % (2268215)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 20.20/3.34 % (2268215)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 20.20/3.34 % (2268215)CaDiCaL version: 2.1.3
% 20.20/3.34 % (2268215)Termination reason: Refutation
% 20.20/3.34 % (2268215)Time elapsed: 2.870 s
% 20.20/3.34 % (2268215)Peak memory usage: 33 MB
% 20.20/3.34 % (2268215)Instructions burned: 5283 (million)
% 20.20/3.34 % (2268209)Success in time 2.917 s
% 20.20/3.34 % Vampire exiting
%------------------------------------------------------------------------------