%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : ITP203^1 : TPTP v9.2.0. Released v7.5.0.
% Transfm : none
% Format : tptp:raw
% Command : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.7BmlrEpvGc true
% Computer : n006.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Thu Oct 2 04:39:09 PM UTC 2025
% Result : Theorem 131.33s 17.22s
% Output : Refutation 131.33s
% Verified :
% SZS Type : Refutation
% Derivation depth : 4
% Number of leaves : 40
% Syntax : Number of formulae : 64 ( 58 unt; 0 typ; 0 def)
% Number of atoms : 104 ( 99 equ; 0 cnn)
% Maximal formula atoms : 4 ( 1 avg)
% Number of connectives : 1004 ( 22 ~; 2 |; 2 &; 971 @)
% ( 0 <=>; 7 =>; 0 <=; 0 <~>)
% Maximal formula depth : 7 ( 3 avg)
% Number of types : 11 ( 10 usr)
% Number of type conns : 154 ( 154 >; 0 *; 0 +; 0 <<)
% Number of symbols : 32 ( 30 usr; 8 con; 0-3 aty)
% Number of variables : 239 ( 163 ^; 76 !; 0 ?; 239 :)
% Comments :
%------------------------------------------------------------------------------
thf(option_fml_type,type,
option_fml: $tType ).
thf(fml_type,type,
fml: $tType ).
thf(char_type,type,
char: $tType ).
thf(trm_type,type,
trm: $tType ).
thf(set_variable_type,type,
set_variable: $tType ).
thf(produc1418842292n_game_type,type,
produc1418842292n_game: $tType ).
thf(option_trm_type,type,
option_trm: $tType ).
thf(produc62062515n_game_type,type,
produc62062515n_game: $tType ).
thf(produc799602994n_game_type,type,
produc799602994n_game: $tType ).
thf('#l_lift56850_type',type,
'#l_lift56850': ( char > option_trm ) > produc62062515n_game > char > option_fml ).
thf(the_trm_type,type,
the_trm: option_trm > trm ).
thf('#l_lift56865_type',type,
'#l_lift56865': trm > fml > option_fml ).
thf(uSubst1408967625substt_type,type,
uSubst1408967625substt: trm > produc1418842292n_game ).
thf(produc1250175341on_fml_type,type,
produc1250175341on_fml: ( ( char > option_trm ) > produc62062515n_game > char > option_fml ) > produc1418842292n_game > char > option_fml ).
thf(uSubst516392818stappt_type,type,
uSubst516392818stappt: produc1418842292n_game > set_variable > trm > option_trm ).
thf(va_type,type,
va: set_variable ).
thf(p_type,type,
p: char ).
thf(none_fml_type,type,
none_fml: option_fml ).
thf('#l_lift56848_type',type,
'#l_lift56848': ( char > option_fml ) > ( char > option_game ) > char > option_fml ).
thf('#l_lift56869_type',type,
'#l_lift56869': trm > fml > option_fml ).
thf(static_FVF_type,type,
static_FVF: fml > set_variable ).
thf('#l_lift56870_type',type,
'#l_lift56870': trm > option_fml ).
thf(case_o325794063ml_trm_type,type,
case_o325794063ml_trm: option_fml > ( trm > option_fml ) > option_trm > option_fml ).
thf(theta_type,type,
theta: trm ).
thf(sigma_type,type,
sigma: produc1418842292n_game ).
thf(the_fml_type,type,
the_fml: option_fml > fml ).
thf(case_o209804997ml_fml_type,type,
case_o209804997ml_fml: option_fml > ( fml > option_fml ) > option_fml > option_fml ).
thf('#l_lift56866_type',type,
'#l_lift56866': trm > option_fml ).
thf(uSubst516392804stappf_type,type,
uSubst516392804stappf: produc1418842292n_game > set_variable > fml > option_fml ).
thf('#l_lift56849_type',type,
'#l_lift56849': ( char > option_trm ) > produc799602994n_game > char > option_fml ).
thf('#l_lift56851_type',type,
'#l_lift56851': fml > option_fml ).
thf(bot_bot_set_variable_type,type,
bot_bot_set_variable: set_variable ).
thf(inf_inf_set_variable_type,type,
inf_inf_set_variable: set_variable > set_variable > set_variable ).
thf(produc1420172399on_fml_type,type,
produc1420172399on_fml: ( ( char > option_fml ) > ( char > option_game ) > char > option_fml ) > produc799602994n_game > char > option_fml ).
thf(pred_type,type,
pred: char > trm > fml ).
thf(some_fml_type,type,
some_fml: fml > option_fml ).
thf(produc1615133358on_fml_type,type,
produc1615133358on_fml: ( ( char > option_trm ) > produc799602994n_game > char > option_fml ) > produc62062515n_game > char > option_fml ).
thf(if_option_fml_type,type,
if_option_fml: $o > option_fml > option_fml > option_fml ).
thf(zip_tseitin_0_type,type,
zip_tseitin_0: $o ).
thf(option_game_type,type,
option_game: $tType ).
thf(fact_34_f8,axiom,
( ( case_o325794063ml_trm @ none_fml
@ ^ [T: trm] :
( case_o209804997ml_fml @ ( some_fml @ ( pred @ p @ T ) )
@ ^ [F2: fml] :
( if_option_fml
@ ( ( inf_inf_set_variable @ ( static_FVF @ F2 ) @ va )
= bot_bot_set_variable )
@ ( uSubst516392804stappf @ ( uSubst1408967625substt @ T ) @ bot_bot_set_variable @ F2 )
@ none_fml )
@ ( produc1250175341on_fml
@ ^ [Uu: char > option_trm] :
( produc1615133358on_fml
@ ^ [Uv: char > option_trm] :
( produc1420172399on_fml
@ ^ [P: char > option_fml,Uw: char > option_game] : P ) )
@ sigma
@ p ) )
@ ( uSubst516392818stappt @ sigma @ va @ theta ) )
= ( case_o209804997ml_fml @ ( some_fml @ ( pred @ p @ ( the_trm @ ( uSubst516392818stappt @ sigma @ va @ theta ) ) ) )
@ ^ [F2: fml] :
( if_option_fml
@ ( ( inf_inf_set_variable @ ( static_FVF @ F2 ) @ va )
= bot_bot_set_variable )
@ ( uSubst516392804stappf @ ( uSubst1408967625substt @ ( the_trm @ ( uSubst516392818stappt @ sigma @ va @ theta ) ) ) @ bot_bot_set_variable @ F2 )
@ none_fml )
@ ( produc1250175341on_fml
@ ^ [Uu: char > option_trm] :
( produc1615133358on_fml
@ ^ [Uv: char > option_trm] :
( produc1420172399on_fml
@ ^ [P: char > option_fml,Uw: char > option_game] : P ) )
@ sigma
@ p ) ) ) ).
thf(zip_derived_cl42,plain,
( ( case_o325794063ml_trm @ none_fml
@ ^ [Y0: trm] :
( case_o209804997ml_fml @ ( some_fml @ ( pred @ p @ Y0 ) )
@ ^ [Y1: fml] :
( if_option_fml
@ ( ( inf_inf_set_variable @ ( static_FVF @ Y1 ) @ va )
= bot_bot_set_variable )
@ ( uSubst516392804stappf @ ( uSubst1408967625substt @ Y0 ) @ bot_bot_set_variable @ Y1 )
@ none_fml )
@ ( produc1250175341on_fml
@ ^ [Y1: char > option_trm] :
( produc1615133358on_fml
@ ^ [Y2: char > option_trm] :
( produc1420172399on_fml
@ ^ [Y3: char > option_fml,Y4: char > option_game] : Y3 ) )
@ sigma
@ p ) )
@ ( uSubst516392818stappt @ sigma @ va @ theta ) )
= ( case_o209804997ml_fml @ ( some_fml @ ( pred @ p @ ( the_trm @ ( uSubst516392818stappt @ sigma @ va @ theta ) ) ) )
@ ^ [Y0: fml] :
( if_option_fml
@ ( ( inf_inf_set_variable @ ( static_FVF @ Y0 ) @ va )
= bot_bot_set_variable )
@ ( uSubst516392804stappf @ ( uSubst1408967625substt @ ( the_trm @ ( uSubst516392818stappt @ sigma @ va @ theta ) ) ) @ bot_bot_set_variable @ Y0 )
@ none_fml )
@ ( produc1250175341on_fml
@ ^ [Y0: char > option_trm] :
( produc1615133358on_fml
@ ^ [Y1: char > option_trm] :
( produc1420172399on_fml
@ ^ [Y2: char > option_fml,Y3: char > option_game] : Y2 ) )
@ sigma
@ p ) ) ),
inference(cnf,[status(esa)],[fact_34_f8]) ).
thf(fact_8__092_060open_062_Iif_AFVF_A_Ithe_A_ISPreds_A_092_060sigma_062_Ap_J_J_A_092_060inter_062_AV_A_061_A_123_125_Athen_Ausubstappf_A_Idotsubstt_A_Ithe_A_Iusubstappt_A_092_060sigma_062_AV_A_092_060theta_062_J_J_J_A_123_125_A_Ithe_A_ISPreds_A_092_060sigma_062_Ap_J_J_Aelse_Aundeff_J_A_092_060noteq_062_Ausubstappf_A_Idotsubstt_A_Ithe_A_Iusubstappt_A_092_060sigma_062_AV_A_092_060theta_062_J_J_J_A_123_125_A_Ithe_A_ISPreds_A_092_060sigma_062_Ap_J_J_092_060close_062,axiom,
~ ( ( ( inf_inf_set_variable
@ ( static_FVF
@ ( the_fml
@ ( produc1250175341on_fml
@ ^ [Uu: char > option_trm] :
( produc1615133358on_fml
@ ^ [Uv: char > option_trm] :
( produc1420172399on_fml
@ ^ [P: char > option_fml,Uw: char > option_game] : P ) )
@ sigma
@ p ) ) )
@ va )
!= bot_bot_set_variable )
=> ( none_fml
= ( uSubst516392804stappf @ ( uSubst1408967625substt @ ( the_trm @ ( uSubst516392818stappt @ sigma @ va @ theta ) ) ) @ bot_bot_set_variable
@ ( the_fml
@ ( produc1250175341on_fml
@ ^ [Uu: char > option_trm] :
( produc1615133358on_fml
@ ^ [Uv: char > option_trm] :
( produc1420172399on_fml
@ ^ [P: char > option_fml,Uw: char > option_game] : P ) )
@ sigma
@ p ) ) ) ) ) ).
thf(zip_derived_cl6,plain,
( ( inf_inf_set_variable
@ ( static_FVF
@ ( the_fml
@ ( produc1250175341on_fml
@ ^ [Y0: char > option_trm] :
( produc1615133358on_fml
@ ^ [Y1: char > option_trm] :
( produc1420172399on_fml
@ ^ [Y2: char > option_fml,Y3: char > option_game] : Y2 ) )
@ sigma
@ p ) ) )
@ va )
!= bot_bot_set_variable ),
inference(cnf,[status(esa)],[fact_8__092_060open_062_Iif_AFVF_A_Ithe_A_ISPreds_A_092_060sigma_062_Ap_J_J_A_092_060inter_062_AV_A_061_A_123_125_Athen_Ausubstappf_A_Idotsubstt_A_Ithe_A_Iusubstappt_A_092_060sigma_062_AV_A_092_060theta_062_J_J_J_A_123_125_A_Ithe_A_ISPreds_A_092_060sigma_062_Ap_J_J_Aelse_Aundeff_J_A_092_060noteq_062_Ausubstappf_A_Idotsubstt_A_Ithe_A_Iusubstappt_A_092_060sigma_062_AV_A_092_060theta_062_J_J_J_A_123_125_A_Ithe_A_ISPreds_A_092_060sigma_062_Ap_J_J_092_060close_062]) ).
thf(zip_derived_cl9239,plain,
! [X7: char > option_trm,X8: produc62062515n_game,X9: char] :
( ( '#l_lift56850' @ X7 @ X8 @ X9 )
= ( produc1615133358on_fml @ '#l_lift56849' @ X8 @ X9 ) ),
define([status(thm)]) ).
thf(zip_derived_cl6_001,plain,
( ( inf_inf_set_variable
@ ( static_FVF
@ ( the_fml
@ ( produc1250175341on_fml
@ ^ [Y0: char > option_trm] :
( produc1615133358on_fml
@ ^ [Y1: char > option_trm] :
( produc1420172399on_fml
@ ^ [Y2: char > option_fml,Y3: char > option_game] : Y2 ) )
@ sigma
@ p ) ) )
@ va )
!= bot_bot_set_variable ),
inference(cnf,[status(esa)],[fact_8__092_060open_062_Iif_AFVF_A_Ithe_A_ISPreds_A_092_060sigma_062_Ap_J_J_A_092_060inter_062_AV_A_061_A_123_125_Athen_Ausubstappf_A_Idotsubstt_A_Ithe_A_Iusubstappt_A_092_060sigma_062_AV_A_092_060theta_062_J_J_J_A_123_125_A_Ithe_A_ISPreds_A_092_060sigma_062_Ap_J_J_Aelse_Aundeff_J_A_092_060noteq_062_Ausubstappf_A_Idotsubstt_A_Ithe_A_Iusubstappt_A_092_060sigma_062_AV_A_092_060theta_062_J_J_J_A_123_125_A_Ithe_A_ISPreds_A_092_060sigma_062_Ap_J_J_092_060close_062]) ).
thf(zip_derived_cl9238,plain,
! [X4: char > option_trm,X5: produc799602994n_game,X6: char] :
( ( '#l_lift56849' @ X4 @ X5 @ X6 )
= ( produc1420172399on_fml @ '#l_lift56848' @ X5 @ X6 ) ),
define([status(thm)]) ).
thf(zip_derived_cl6_002,plain,
( ( inf_inf_set_variable
@ ( static_FVF
@ ( the_fml
@ ( produc1250175341on_fml
@ ^ [Y0: char > option_trm] :
( produc1615133358on_fml
@ ^ [Y1: char > option_trm] :
( produc1420172399on_fml
@ ^ [Y2: char > option_fml,Y3: char > option_game] : Y2 ) )
@ sigma
@ p ) ) )
@ va )
!= bot_bot_set_variable ),
inference(cnf,[status(esa)],[fact_8__092_060open_062_Iif_AFVF_A_Ithe_A_ISPreds_A_092_060sigma_062_Ap_J_J_A_092_060inter_062_AV_A_061_A_123_125_Athen_Ausubstappf_A_Idotsubstt_A_Ithe_A_Iusubstappt_A_092_060sigma_062_AV_A_092_060theta_062_J_J_J_A_123_125_A_Ithe_A_ISPreds_A_092_060sigma_062_Ap_J_J_Aelse_Aundeff_J_A_092_060noteq_062_Ausubstappf_A_Idotsubstt_A_Ithe_A_Iusubstappt_A_092_060sigma_062_AV_A_092_060theta_062_J_J_J_A_123_125_A_Ithe_A_ISPreds_A_092_060sigma_062_Ap_J_J_092_060close_062]) ).
thf(zip_derived_cl9237,plain,
! [X1: char > option_fml,X2: char > option_game,X3: char] :
( ( '#l_lift56848' @ X1 @ X2 @ X3 )
= ( X1 @ X3 ) ),
define([status(thm)]) ).
thf(fact_10__092_060open_062_Icase_ASPreds_A_092_060sigma_062_Ap_Aof_ANone_A_092_060Rightarrow_062_AAfml_A_IPred_Ap_A_Ithe_A_Iusubstappt_A_092_060sigma_062_AV_A_092_060theta_062_J_J_J_A_124_ASome_Af_A_092_060Rightarrow_062_Aif_AFVF_Af_A_092_060inter_062_AV_A_061_A_123_125_Athen_Ausubstappf_A_Idotsubstt_A_Ithe_A_Iusubstappt_A_092_060sigma_062_AV_A_092_060theta_062_J_J_J_A_123_125_Af_Aelse_Aundeff_J_A_092_060noteq_062_A_Iif_AFVF_A_Ithe_A_ISPreds_A_092_060sigma_062_Ap_J_J_A_092_060inter_062_AV_A_061_A_123_125_Athen_Ausubstappf_A_Idotsubstt_A_Ithe_A_Iusubstappt_A_092_060sigma_062_AV_A_092_060theta_062_J_J_J_A_123_125_A_Ithe_A_ISPreds_A_092_060sigma_062_Ap_J_J_Aelse_Aundeff_J_092_060close_062,axiom,
~ ( ( ( ( inf_inf_set_variable
@ ( static_FVF
@ ( the_fml
@ ( produc1250175341on_fml
@ ^ [Uu: char > option_trm] :
( produc1615133358on_fml
@ ^ [Uv: char > option_trm] :
( produc1420172399on_fml
@ ^ [P: char > option_fml,Uw: char > option_game] : P ) )
@ sigma
@ p ) ) )
@ va )
!= bot_bot_set_variable )
=> ( ( case_o209804997ml_fml @ ( some_fml @ ( pred @ p @ ( the_trm @ ( uSubst516392818stappt @ sigma @ va @ theta ) ) ) )
@ ^ [F2: fml] :
( if_option_fml
@ ( ( inf_inf_set_variable @ ( static_FVF @ F2 ) @ va )
= bot_bot_set_variable )
@ ( uSubst516392804stappf @ ( uSubst1408967625substt @ ( the_trm @ ( uSubst516392818stappt @ sigma @ va @ theta ) ) ) @ bot_bot_set_variable @ F2 )
@ none_fml )
@ ( produc1250175341on_fml
@ ^ [Uu: char > option_trm] :
( produc1615133358on_fml
@ ^ [Uv: char > option_trm] :
( produc1420172399on_fml
@ ^ [P: char > option_fml,Uw: char > option_game] : P ) )
@ sigma
@ p ) )
= none_fml ) )
& ( ( ( inf_inf_set_variable
@ ( static_FVF
@ ( the_fml
@ ( produc1250175341on_fml
@ ^ [Uu: char > option_trm] :
( produc1615133358on_fml
@ ^ [Uv: char > option_trm] :
( produc1420172399on_fml
@ ^ [P: char > option_fml,Uw: char > option_game] : P ) )
@ sigma
@ p ) ) )
@ va )
= bot_bot_set_variable )
=> ( ( case_o209804997ml_fml @ ( some_fml @ ( pred @ p @ ( the_trm @ ( uSubst516392818stappt @ sigma @ va @ theta ) ) ) )
@ ^ [F2: fml] :
( if_option_fml
@ ( ( inf_inf_set_variable @ ( static_FVF @ F2 ) @ va )
= bot_bot_set_variable )
@ ( uSubst516392804stappf @ ( uSubst1408967625substt @ ( the_trm @ ( uSubst516392818stappt @ sigma @ va @ theta ) ) ) @ bot_bot_set_variable @ F2 )
@ none_fml )
@ ( produc1250175341on_fml
@ ^ [Uu: char > option_trm] :
( produc1615133358on_fml
@ ^ [Uv: char > option_trm] :
( produc1420172399on_fml
@ ^ [P: char > option_fml,Uw: char > option_game] : P ) )
@ sigma
@ p ) )
= ( uSubst516392804stappf @ ( uSubst1408967625substt @ ( the_trm @ ( uSubst516392818stappt @ sigma @ va @ theta ) ) ) @ bot_bot_set_variable
@ ( the_fml
@ ( produc1250175341on_fml
@ ^ [Uu: char > option_trm] :
( produc1615133358on_fml
@ ^ [Uv: char > option_trm] :
( produc1420172399on_fml
@ ^ [P: char > option_fml,Uw: char > option_game] : P ) )
@ sigma
@ p ) ) ) ) ) ) ).
thf(zf_stmt_0,axiom,
( ( ( ( inf_inf_set_variable
@ ( static_FVF
@ ( the_fml
@ ( produc1250175341on_fml
@ ^ [Uu: char > option_trm] :
( produc1615133358on_fml
@ ^ [Uv: char > option_trm] :
( produc1420172399on_fml
@ ^ [P: char > option_fml,Uw: char > option_game] : P ) )
@ sigma
@ p ) ) )
@ va )
!= bot_bot_set_variable )
=> ( ( case_o209804997ml_fml @ ( some_fml @ ( pred @ p @ ( the_trm @ ( uSubst516392818stappt @ sigma @ va @ theta ) ) ) )
@ ^ [F2: fml] :
( if_option_fml
@ ( ( inf_inf_set_variable @ ( static_FVF @ F2 ) @ va )
= bot_bot_set_variable )
@ ( uSubst516392804stappf @ ( uSubst1408967625substt @ ( the_trm @ ( uSubst516392818stappt @ sigma @ va @ theta ) ) ) @ bot_bot_set_variable @ F2 )
@ none_fml )
@ ( produc1250175341on_fml
@ ^ [Uu: char > option_trm] :
( produc1615133358on_fml
@ ^ [Uv: char > option_trm] :
( produc1420172399on_fml
@ ^ [P: char > option_fml,Uw: char > option_game] : P ) )
@ sigma
@ p ) )
= none_fml ) )
=> zip_tseitin_0 ) ).
thf(zip_derived_cl9,plain,
( zip_tseitin_0
| ( ( case_o209804997ml_fml @ ( some_fml @ ( pred @ p @ ( the_trm @ ( uSubst516392818stappt @ sigma @ va @ theta ) ) ) )
@ ^ [Y0: fml] :
( if_option_fml
@ ( ( inf_inf_set_variable @ ( static_FVF @ Y0 ) @ va )
= bot_bot_set_variable )
@ ( uSubst516392804stappf @ ( uSubst1408967625substt @ ( the_trm @ ( uSubst516392818stappt @ sigma @ va @ theta ) ) ) @ bot_bot_set_variable @ Y0 )
@ none_fml )
@ ( produc1250175341on_fml
@ ^ [Y0: char > option_trm] :
( produc1615133358on_fml
@ ^ [Y1: char > option_trm] :
( produc1420172399on_fml
@ ^ [Y2: char > option_fml,Y3: char > option_game] : Y2 ) )
@ sigma
@ p ) )
!= none_fml ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl9243,plain,
! [X1: fml] :
( ( '#l_lift56851' @ X1 )
= ( if_option_fml
@ ( ( inf_inf_set_variable @ ( static_FVF @ X1 ) @ va )
= bot_bot_set_variable )
@ ( uSubst516392804stappf @ ( uSubst1408967625substt @ ( the_trm @ ( uSubst516392818stappt @ sigma @ va @ theta ) ) ) @ bot_bot_set_variable @ X1 )
@ none_fml ) ),
define([status(thm)]) ).
thf(zip_derived_cl9239_003,plain,
! [X7: char > option_trm,X8: produc62062515n_game,X9: char] :
( ( '#l_lift56850' @ X7 @ X8 @ X9 )
= ( produc1615133358on_fml @ '#l_lift56849' @ X8 @ X9 ) ),
define([status(thm)]) ).
thf(zip_derived_cl9238_004,plain,
! [X4: char > option_trm,X5: produc799602994n_game,X6: char] :
( ( '#l_lift56849' @ X4 @ X5 @ X6 )
= ( produc1420172399on_fml @ '#l_lift56848' @ X5 @ X6 ) ),
define([status(thm)]) ).
thf(zip_derived_cl9237_005,plain,
! [X1: char > option_fml,X2: char > option_game,X3: char] :
( ( '#l_lift56848' @ X1 @ X2 @ X3 )
= ( X1 @ X3 ) ),
define([status(thm)]) ).
thf(zip_derived_cl42_006,plain,
( ( case_o325794063ml_trm @ none_fml
@ ^ [Y0: trm] :
( case_o209804997ml_fml @ ( some_fml @ ( pred @ p @ Y0 ) )
@ ^ [Y1: fml] :
( if_option_fml
@ ( ( inf_inf_set_variable @ ( static_FVF @ Y1 ) @ va )
= bot_bot_set_variable )
@ ( uSubst516392804stappf @ ( uSubst1408967625substt @ Y0 ) @ bot_bot_set_variable @ Y1 )
@ none_fml )
@ ( produc1250175341on_fml
@ ^ [Y1: char > option_trm] :
( produc1615133358on_fml
@ ^ [Y2: char > option_trm] :
( produc1420172399on_fml
@ ^ [Y3: char > option_fml,Y4: char > option_game] : Y3 ) )
@ sigma
@ p ) )
@ ( uSubst516392818stappt @ sigma @ va @ theta ) )
= ( case_o209804997ml_fml @ ( some_fml @ ( pred @ p @ ( the_trm @ ( uSubst516392818stappt @ sigma @ va @ theta ) ) ) )
@ ^ [Y0: fml] :
( if_option_fml
@ ( ( inf_inf_set_variable @ ( static_FVF @ Y0 ) @ va )
= bot_bot_set_variable )
@ ( uSubst516392804stappf @ ( uSubst1408967625substt @ ( the_trm @ ( uSubst516392818stappt @ sigma @ va @ theta ) ) ) @ bot_bot_set_variable @ Y0 )
@ none_fml )
@ ( produc1250175341on_fml
@ ^ [Y0: char > option_trm] :
( produc1615133358on_fml
@ ^ [Y1: char > option_trm] :
( produc1420172399on_fml
@ ^ [Y2: char > option_fml,Y3: char > option_game] : Y2 ) )
@ sigma
@ p ) ) ),
inference(cnf,[status(esa)],[fact_34_f8]) ).
thf(zip_derived_cl9282,plain,
! [X3: trm] :
( ( '#l_lift56866' @ X3 )
= ( case_o209804997ml_fml @ ( some_fml @ ( pred @ p @ X3 ) ) @ ( '#l_lift56865' @ X3 ) @ ( produc1250175341on_fml @ '#l_lift56850' @ sigma @ p ) ) ),
define([status(thm)]) ).
thf(zip_derived_cl42_007,plain,
( ( case_o325794063ml_trm @ none_fml
@ ^ [Y0: trm] :
( case_o209804997ml_fml @ ( some_fml @ ( pred @ p @ Y0 ) )
@ ^ [Y1: fml] :
( if_option_fml
@ ( ( inf_inf_set_variable @ ( static_FVF @ Y1 ) @ va )
= bot_bot_set_variable )
@ ( uSubst516392804stappf @ ( uSubst1408967625substt @ Y0 ) @ bot_bot_set_variable @ Y1 )
@ none_fml )
@ ( produc1250175341on_fml
@ ^ [Y1: char > option_trm] :
( produc1615133358on_fml
@ ^ [Y2: char > option_trm] :
( produc1420172399on_fml
@ ^ [Y3: char > option_fml,Y4: char > option_game] : Y3 ) )
@ sigma
@ p ) )
@ ( uSubst516392818stappt @ sigma @ va @ theta ) )
= ( case_o209804997ml_fml @ ( some_fml @ ( pred @ p @ ( the_trm @ ( uSubst516392818stappt @ sigma @ va @ theta ) ) ) )
@ ^ [Y0: fml] :
( if_option_fml
@ ( ( inf_inf_set_variable @ ( static_FVF @ Y0 ) @ va )
= bot_bot_set_variable )
@ ( uSubst516392804stappf @ ( uSubst1408967625substt @ ( the_trm @ ( uSubst516392818stappt @ sigma @ va @ theta ) ) ) @ bot_bot_set_variable @ Y0 )
@ none_fml )
@ ( produc1250175341on_fml
@ ^ [Y0: char > option_trm] :
( produc1615133358on_fml
@ ^ [Y1: char > option_trm] :
( produc1420172399on_fml
@ ^ [Y2: char > option_fml,Y3: char > option_game] : Y2 ) )
@ sigma
@ p ) ) ),
inference(cnf,[status(esa)],[fact_34_f8]) ).
thf(zip_derived_cl9243_008,plain,
! [X1: fml] :
( ( '#l_lift56851' @ X1 )
= ( if_option_fml
@ ( ( inf_inf_set_variable @ ( static_FVF @ X1 ) @ va )
= bot_bot_set_variable )
@ ( uSubst516392804stappf @ ( uSubst1408967625substt @ ( the_trm @ ( uSubst516392818stappt @ sigma @ va @ theta ) ) ) @ bot_bot_set_variable @ X1 )
@ none_fml ) ),
define([status(thm)]) ).
thf(zip_derived_cl9281,plain,
( ( '#l_lift56865' @ ( the_trm @ ( uSubst516392818stappt @ sigma @ va @ theta ) ) )
= '#l_lift56851' ),
define([status(thm)]) ).
thf(zip_derived_cl42_009,plain,
( ( case_o325794063ml_trm @ none_fml
@ ^ [Y0: trm] :
( case_o209804997ml_fml @ ( some_fml @ ( pred @ p @ Y0 ) )
@ ^ [Y1: fml] :
( if_option_fml
@ ( ( inf_inf_set_variable @ ( static_FVF @ Y1 ) @ va )
= bot_bot_set_variable )
@ ( uSubst516392804stappf @ ( uSubst1408967625substt @ Y0 ) @ bot_bot_set_variable @ Y1 )
@ none_fml )
@ ( produc1250175341on_fml
@ ^ [Y1: char > option_trm] :
( produc1615133358on_fml
@ ^ [Y2: char > option_trm] :
( produc1420172399on_fml
@ ^ [Y3: char > option_fml,Y4: char > option_game] : Y3 ) )
@ sigma
@ p ) )
@ ( uSubst516392818stappt @ sigma @ va @ theta ) )
= ( case_o209804997ml_fml @ ( some_fml @ ( pred @ p @ ( the_trm @ ( uSubst516392818stappt @ sigma @ va @ theta ) ) ) )
@ ^ [Y0: fml] :
( if_option_fml
@ ( ( inf_inf_set_variable @ ( static_FVF @ Y0 ) @ va )
= bot_bot_set_variable )
@ ( uSubst516392804stappf @ ( uSubst1408967625substt @ ( the_trm @ ( uSubst516392818stappt @ sigma @ va @ theta ) ) ) @ bot_bot_set_variable @ Y0 )
@ none_fml )
@ ( produc1250175341on_fml
@ ^ [Y0: char > option_trm] :
( produc1615133358on_fml
@ ^ [Y1: char > option_trm] :
( produc1420172399on_fml
@ ^ [Y2: char > option_fml,Y3: char > option_game] : Y2 ) )
@ sigma
@ p ) ) ),
inference(cnf,[status(esa)],[fact_34_f8]) ).
thf(zip_derived_cl9280,plain,
! [X1: trm,X2: fml] :
( ( '#l_lift56865' @ X1 @ X2 )
= ( if_option_fml
@ ( ( inf_inf_set_variable @ ( static_FVF @ X2 ) @ va )
= bot_bot_set_variable )
@ ( uSubst516392804stappf @ ( uSubst1408967625substt @ X1 ) @ bot_bot_set_variable @ X2 )
@ none_fml ) ),
define([status(thm)]) ).
thf(zip_derived_cl9283,plain,
( ( case_o325794063ml_trm @ none_fml @ '#l_lift56866' @ ( uSubst516392818stappt @ sigma @ va @ theta ) )
= ( case_o209804997ml_fml @ ( some_fml @ ( pred @ p @ ( the_trm @ ( uSubst516392818stappt @ sigma @ va @ theta ) ) ) ) @ '#l_lift56851' @ ( produc1250175341on_fml @ '#l_lift56850' @ sigma @ p ) ) ),
inference(lambda_lifting,[status(thm)],[zip_derived_cl42,zip_derived_cl9239,zip_derived_cl9238,zip_derived_cl9237,zip_derived_cl9243,zip_derived_cl9239,zip_derived_cl9238,zip_derived_cl9237,zip_derived_cl9282,zip_derived_cl9281,zip_derived_cl9280]) ).
thf(fact_36_f4,axiom,
( ( case_o325794063ml_trm @ none_fml
@ ^ [T: trm] :
( case_o209804997ml_fml @ ( some_fml @ ( pred @ p @ T ) )
@ ^ [F2: fml] :
( if_option_fml
@ ( ( inf_inf_set_variable @ ( static_FVF @ F2 ) @ va )
= bot_bot_set_variable )
@ ( uSubst516392804stappf @ ( uSubst1408967625substt @ T ) @ bot_bot_set_variable @ F2 )
@ none_fml )
@ ( produc1250175341on_fml
@ ^ [Uu: char > option_trm] :
( produc1615133358on_fml
@ ^ [Uv: char > option_trm] :
( produc1420172399on_fml
@ ^ [P: char > option_fml,Uw: char > option_game] : P ) )
@ sigma
@ p ) )
@ ( uSubst516392818stappt @ sigma @ va @ theta ) )
!= none_fml ) ).
thf(zip_derived_cl44,plain,
( ( case_o325794063ml_trm @ none_fml
@ ^ [Y0: trm] :
( case_o209804997ml_fml @ ( some_fml @ ( pred @ p @ Y0 ) )
@ ^ [Y1: fml] :
( if_option_fml
@ ( ( inf_inf_set_variable @ ( static_FVF @ Y1 ) @ va )
= bot_bot_set_variable )
@ ( uSubst516392804stappf @ ( uSubst1408967625substt @ Y0 ) @ bot_bot_set_variable @ Y1 )
@ none_fml )
@ ( produc1250175341on_fml
@ ^ [Y1: char > option_trm] :
( produc1615133358on_fml
@ ^ [Y2: char > option_trm] :
( produc1420172399on_fml
@ ^ [Y3: char > option_fml,Y4: char > option_game] : Y3 ) )
@ sigma
@ p ) )
@ ( uSubst516392818stappt @ sigma @ va @ theta ) )
!= none_fml ),
inference(cnf,[status(esa)],[fact_36_f4]) ).
thf(zip_derived_cl9239_010,plain,
! [X7: char > option_trm,X8: produc62062515n_game,X9: char] :
( ( '#l_lift56850' @ X7 @ X8 @ X9 )
= ( produc1615133358on_fml @ '#l_lift56849' @ X8 @ X9 ) ),
define([status(thm)]) ).
thf(zip_derived_cl9238_011,plain,
! [X4: char > option_trm,X5: produc799602994n_game,X6: char] :
( ( '#l_lift56849' @ X4 @ X5 @ X6 )
= ( produc1420172399on_fml @ '#l_lift56848' @ X5 @ X6 ) ),
define([status(thm)]) ).
thf(zip_derived_cl9237_012,plain,
! [X1: char > option_fml,X2: char > option_game,X3: char] :
( ( '#l_lift56848' @ X1 @ X2 @ X3 )
= ( X1 @ X3 ) ),
define([status(thm)]) ).
thf(zip_derived_cl44_013,plain,
( ( case_o325794063ml_trm @ none_fml
@ ^ [Y0: trm] :
( case_o209804997ml_fml @ ( some_fml @ ( pred @ p @ Y0 ) )
@ ^ [Y1: fml] :
( if_option_fml
@ ( ( inf_inf_set_variable @ ( static_FVF @ Y1 ) @ va )
= bot_bot_set_variable )
@ ( uSubst516392804stappf @ ( uSubst1408967625substt @ Y0 ) @ bot_bot_set_variable @ Y1 )
@ none_fml )
@ ( produc1250175341on_fml
@ ^ [Y1: char > option_trm] :
( produc1615133358on_fml
@ ^ [Y2: char > option_trm] :
( produc1420172399on_fml
@ ^ [Y3: char > option_fml,Y4: char > option_game] : Y3 ) )
@ sigma
@ p ) )
@ ( uSubst516392818stappt @ sigma @ va @ theta ) )
!= none_fml ),
inference(cnf,[status(esa)],[fact_36_f4]) ).
thf(zip_derived_cl9292,plain,
! [X3: trm] :
( ( '#l_lift56870' @ X3 )
= ( case_o209804997ml_fml @ ( some_fml @ ( pred @ p @ X3 ) ) @ ( '#l_lift56869' @ X3 ) @ ( produc1250175341on_fml @ '#l_lift56850' @ sigma @ p ) ) ),
define([status(thm)]) ).
thf(zip_derived_cl44_014,plain,
( ( case_o325794063ml_trm @ none_fml
@ ^ [Y0: trm] :
( case_o209804997ml_fml @ ( some_fml @ ( pred @ p @ Y0 ) )
@ ^ [Y1: fml] :
( if_option_fml
@ ( ( inf_inf_set_variable @ ( static_FVF @ Y1 ) @ va )
= bot_bot_set_variable )
@ ( uSubst516392804stappf @ ( uSubst1408967625substt @ Y0 ) @ bot_bot_set_variable @ Y1 )
@ none_fml )
@ ( produc1250175341on_fml
@ ^ [Y1: char > option_trm] :
( produc1615133358on_fml
@ ^ [Y2: char > option_trm] :
( produc1420172399on_fml
@ ^ [Y3: char > option_fml,Y4: char > option_game] : Y3 ) )
@ sigma
@ p ) )
@ ( uSubst516392818stappt @ sigma @ va @ theta ) )
!= none_fml ),
inference(cnf,[status(esa)],[fact_36_f4]) ).
thf(zip_derived_cl9280_015,plain,
! [X1: trm,X2: fml] :
( ( '#l_lift56865' @ X1 @ X2 )
= ( if_option_fml
@ ( ( inf_inf_set_variable @ ( static_FVF @ X2 ) @ va )
= bot_bot_set_variable )
@ ( uSubst516392804stappf @ ( uSubst1408967625substt @ X1 ) @ bot_bot_set_variable @ X2 )
@ none_fml ) ),
define([status(thm)]) ).
thf(zip_derived_cl9291,plain,
! [X0: trm] :
( ( '#l_lift56869' @ X0 )
= ( '#l_lift56865' @ X0 ) ),
define([status(thm)]) ).
thf(zip_derived_cl44_016,plain,
( ( case_o325794063ml_trm @ none_fml
@ ^ [Y0: trm] :
( case_o209804997ml_fml @ ( some_fml @ ( pred @ p @ Y0 ) )
@ ^ [Y1: fml] :
( if_option_fml
@ ( ( inf_inf_set_variable @ ( static_FVF @ Y1 ) @ va )
= bot_bot_set_variable )
@ ( uSubst516392804stappf @ ( uSubst1408967625substt @ Y0 ) @ bot_bot_set_variable @ Y1 )
@ none_fml )
@ ( produc1250175341on_fml
@ ^ [Y1: char > option_trm] :
( produc1615133358on_fml
@ ^ [Y2: char > option_trm] :
( produc1420172399on_fml
@ ^ [Y3: char > option_fml,Y4: char > option_game] : Y3 ) )
@ sigma
@ p ) )
@ ( uSubst516392818stappt @ sigma @ va @ theta ) )
!= none_fml ),
inference(cnf,[status(esa)],[fact_36_f4]) ).
thf(zip_derived_cl9243_017,plain,
! [X1: fml] :
( ( '#l_lift56851' @ X1 )
= ( if_option_fml
@ ( ( inf_inf_set_variable @ ( static_FVF @ X1 ) @ va )
= bot_bot_set_variable )
@ ( uSubst516392804stappf @ ( uSubst1408967625substt @ ( the_trm @ ( uSubst516392818stappt @ sigma @ va @ theta ) ) ) @ bot_bot_set_variable @ X1 )
@ none_fml ) ),
define([status(thm)]) ).
thf(zip_derived_cl9290,plain,
( ( '#l_lift56869' @ ( the_trm @ ( uSubst516392818stappt @ sigma @ va @ theta ) ) )
= '#l_lift56851' ),
define([status(thm)]) ).
thf(zip_derived_cl44_018,plain,
( ( case_o325794063ml_trm @ none_fml
@ ^ [Y0: trm] :
( case_o209804997ml_fml @ ( some_fml @ ( pred @ p @ Y0 ) )
@ ^ [Y1: fml] :
( if_option_fml
@ ( ( inf_inf_set_variable @ ( static_FVF @ Y1 ) @ va )
= bot_bot_set_variable )
@ ( uSubst516392804stappf @ ( uSubst1408967625substt @ Y0 ) @ bot_bot_set_variable @ Y1 )
@ none_fml )
@ ( produc1250175341on_fml
@ ^ [Y1: char > option_trm] :
( produc1615133358on_fml
@ ^ [Y2: char > option_trm] :
( produc1420172399on_fml
@ ^ [Y3: char > option_fml,Y4: char > option_game] : Y3 ) )
@ sigma
@ p ) )
@ ( uSubst516392818stappt @ sigma @ va @ theta ) )
!= none_fml ),
inference(cnf,[status(esa)],[fact_36_f4]) ).
thf(zip_derived_cl9289,plain,
! [X1: trm,X2: fml] :
( ( '#l_lift56869' @ X1 @ X2 )
= ( if_option_fml
@ ( ( inf_inf_set_variable @ ( static_FVF @ X2 ) @ va )
= bot_bot_set_variable )
@ ( uSubst516392804stappf @ ( uSubst1408967625substt @ X1 ) @ bot_bot_set_variable @ X2 )
@ none_fml ) ),
define([status(thm)]) ).
thf(zip_derived_cl9293,plain,
( ( case_o325794063ml_trm @ none_fml @ '#l_lift56870' @ ( uSubst516392818stappt @ sigma @ va @ theta ) )
!= none_fml ),
inference(lambda_lifting,[status(thm)],[zip_derived_cl44,zip_derived_cl9239,zip_derived_cl9238,zip_derived_cl9237,zip_derived_cl9292,zip_derived_cl9291,zip_derived_cl9290,zip_derived_cl9289]) ).
thf(zip_derived_cl9281_019,plain,
( ( '#l_lift56865' @ ( the_trm @ ( uSubst516392818stappt @ sigma @ va @ theta ) ) )
= '#l_lift56851' ),
define([status(thm)]) ).
thf(conj_0,conjecture,
( ( produc1250175341on_fml
@ ^ [Uu: char > option_trm] :
( produc1615133358on_fml
@ ^ [Uv: char > option_trm] :
( produc1420172399on_fml
@ ^ [P: char > option_fml,Uw: char > option_game] : P ) )
@ sigma
@ p )
= none_fml ) ).
thf(zf_stmt_1,negated_conjecture,
( ( produc1250175341on_fml
@ ^ [Uu: char > option_trm] :
( produc1615133358on_fml
@ ^ [Uv: char > option_trm] :
( produc1420172399on_fml
@ ^ [P: char > option_fml,Uw: char > option_game] : P ) )
@ sigma
@ p )
!= none_fml ),
inference('cnf.neg',[status(esa)],[conj_0]) ).
thf(zip_derived_cl437,plain,
( ( produc1250175341on_fml
@ ^ [Y0: char > option_trm] :
( produc1615133358on_fml
@ ^ [Y1: char > option_trm] :
( produc1420172399on_fml
@ ^ [Y2: char > option_fml,Y3: char > option_game] : Y2 ) )
@ sigma
@ p )
!= none_fml ),
inference(cnf,[status(esa)],[zf_stmt_1]) ).
thf(zip_derived_cl9239_020,plain,
! [X7: char > option_trm,X8: produc62062515n_game,X9: char] :
( ( '#l_lift56850' @ X7 @ X8 @ X9 )
= ( produc1615133358on_fml @ '#l_lift56849' @ X8 @ X9 ) ),
define([status(thm)]) ).
thf(zip_derived_cl9238_021,plain,
! [X4: char > option_trm,X5: produc799602994n_game,X6: char] :
( ( '#l_lift56849' @ X4 @ X5 @ X6 )
= ( produc1420172399on_fml @ '#l_lift56848' @ X5 @ X6 ) ),
define([status(thm)]) ).
thf(zip_derived_cl9237_022,plain,
! [X1: char > option_fml,X2: char > option_game,X3: char] :
( ( '#l_lift56848' @ X1 @ X2 @ X3 )
= ( X1 @ X3 ) ),
define([status(thm)]) ).
thf(zip_derived_cl9439,plain,
( ( produc1250175341on_fml @ '#l_lift56850' @ sigma @ p )
!= none_fml ),
inference(lambda_lifting,[status(thm)],[zip_derived_cl437,zip_derived_cl9239,zip_derived_cl9238,zip_derived_cl9237]) ).
thf(fact_0_f7,axiom,
! [Z: option_fml,F: fml > option_fml,Za: option_fml] :
( ( ( Za != none_fml )
=> ( ( case_o209804997ml_fml @ Z @ F @ Za )
= ( F @ ( the_fml @ Za ) ) ) )
& ( ( Za = none_fml )
=> ( ( case_o209804997ml_fml @ Z @ F @ Za )
= Z ) ) ) ).
thf(zip_derived_cl1,plain,
! [X0: fml > option_fml,X1: option_fml,X2: option_fml] :
( ( ( case_o209804997ml_fml @ X2 @ X0 @ X1 )
= ( X0 @ ( the_fml @ X1 ) ) )
| ( X1 = none_fml ) ),
inference(cnf,[status(esa)],[fact_0_f7]) ).
thf(zip_derived_cl9292_023,plain,
! [X3: trm] :
( ( '#l_lift56870' @ X3 )
= ( case_o209804997ml_fml @ ( some_fml @ ( pred @ p @ X3 ) ) @ ( '#l_lift56869' @ X3 ) @ ( produc1250175341on_fml @ '#l_lift56850' @ sigma @ p ) ) ),
define([status(thm)]) ).
thf(zip_derived_cl6_024,plain,
( ( inf_inf_set_variable
@ ( static_FVF
@ ( the_fml
@ ( produc1250175341on_fml
@ ^ [Y0: char > option_trm] :
( produc1615133358on_fml
@ ^ [Y1: char > option_trm] :
( produc1420172399on_fml
@ ^ [Y2: char > option_fml,Y3: char > option_game] : Y2 ) )
@ sigma
@ p ) ) )
@ va )
!= bot_bot_set_variable ),
inference(cnf,[status(esa)],[fact_8__092_060open_062_Iif_AFVF_A_Ithe_A_ISPreds_A_092_060sigma_062_Ap_J_J_A_092_060inter_062_AV_A_061_A_123_125_Athen_Ausubstappf_A_Idotsubstt_A_Ithe_A_Iusubstappt_A_092_060sigma_062_AV_A_092_060theta_062_J_J_J_A_123_125_A_Ithe_A_ISPreds_A_092_060sigma_062_Ap_J_J_Aelse_Aundeff_J_A_092_060noteq_062_Ausubstappf_A_Idotsubstt_A_Ithe_A_Iusubstappt_A_092_060sigma_062_AV_A_092_060theta_062_J_J_J_A_123_125_A_Ithe_A_ISPreds_A_092_060sigma_062_Ap_J_J_092_060close_062]) ).
thf(zip_derived_cl9239_025,plain,
! [X7: char > option_trm,X8: produc62062515n_game,X9: char] :
( ( '#l_lift56850' @ X7 @ X8 @ X9 )
= ( produc1615133358on_fml @ '#l_lift56849' @ X8 @ X9 ) ),
define([status(thm)]) ).
thf(zip_derived_cl9238_026,plain,
! [X4: char > option_trm,X5: produc799602994n_game,X6: char] :
( ( '#l_lift56849' @ X4 @ X5 @ X6 )
= ( produc1420172399on_fml @ '#l_lift56848' @ X5 @ X6 ) ),
define([status(thm)]) ).
thf(zip_derived_cl9237_027,plain,
! [X1: char > option_fml,X2: char > option_game,X3: char] :
( ( '#l_lift56848' @ X1 @ X2 @ X3 )
= ( X1 @ X3 ) ),
define([status(thm)]) ).
thf(zip_derived_cl9240,plain,
( ( inf_inf_set_variable @ ( static_FVF @ ( the_fml @ ( produc1250175341on_fml @ '#l_lift56850' @ sigma @ p ) ) ) @ va )
!= bot_bot_set_variable ),
inference(lambda_lifting,[status(thm)],[zip_derived_cl6,zip_derived_cl9239,zip_derived_cl9238,zip_derived_cl9237]) ).
thf(zip_derived_cl9291_028,plain,
! [X0: trm] :
( ( '#l_lift56869' @ X0 )
= ( '#l_lift56865' @ X0 ) ),
define([status(thm)]) ).
thf(zip_derived_cl9282_029,plain,
! [X3: trm] :
( ( '#l_lift56866' @ X3 )
= ( case_o209804997ml_fml @ ( some_fml @ ( pred @ p @ X3 ) ) @ ( '#l_lift56865' @ X3 ) @ ( produc1250175341on_fml @ '#l_lift56850' @ sigma @ p ) ) ),
define([status(thm)]) ).
thf(fact_173_Int__commute,axiom,
! [A5: set_variable,B5: set_variable] :
( ( inf_inf_set_variable @ A5 @ B5 )
= ( inf_inf_set_variable @ B5 @ A5 ) ) ).
thf(zip_derived_cl301,plain,
! [X0: set_variable,X1: set_variable] :
( ( inf_inf_set_variable @ X1 @ X0 )
= ( inf_inf_set_variable @ X0 @ X1 ) ),
inference(cnf,[status(esa)],[fact_173_Int__commute]) ).
thf(help_If_2_1_If_001t__Option__Ooption_It__Syntax__Ofml_J_T,axiom,
! [X2: option_fml,Y2: option_fml] :
( ( if_option_fml @ $false @ X2 @ Y2 )
= Y2 ) ).
thf(zip_derived_cl435,plain,
! [X0: option_fml,X1: option_fml] :
( ( if_option_fml @ $false @ X1 @ X0 )
= X0 ),
inference(cnf,[status(esa)],[help_If_2_1_If_001t__Option__Ooption_It__Syntax__Ofml_J_T]) ).
thf(zip_derived_cl9289_030,plain,
! [X1: trm,X2: fml] :
( ( '#l_lift56869' @ X1 @ X2 )
= ( if_option_fml
@ ( ( inf_inf_set_variable @ ( static_FVF @ X2 ) @ va )
= bot_bot_set_variable )
@ ( uSubst516392804stappf @ ( uSubst1408967625substt @ X1 ) @ bot_bot_set_variable @ X2 )
@ none_fml ) ),
define([status(thm)]) ).
thf(zip_derived_cl9477,plain,
$false,
inference(eprover,[status(thm)],[zip_derived_cl9283,zip_derived_cl9293,zip_derived_cl9281,zip_derived_cl9439,zip_derived_cl1,zip_derived_cl9292,zip_derived_cl9240,zip_derived_cl9291,zip_derived_cl9282,zip_derived_cl301,zip_derived_cl435,zip_derived_cl9289]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : ITP203^1 : TPTP v9.2.0. Released v7.5.0.
% 0.07/0.13 % Command : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.7BmlrEpvGc true
% 0.13/0.34 % Computer : n006.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % WCLimit : 300
% 0.13/0.34 % DateTime : Wed Oct 1 15:26:08 EDT 2025
% 0.13/0.34 % CPUTime :
% 0.13/0.34 % Running portfolio for 300 s
% 0.13/0.34 % File : /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.13/0.34 % Number of cores: 8
% 0.13/0.35 % Python version: Python 3.6.8
% 0.13/0.35 % Running in HO mode
% 0.51/0.63 % Total configuration time : 828
% 0.51/0.63 % Estimated wc time : 1656
% 0.51/0.63 % Estimated cpu time (8 cpus) : 207.0
% 0.52/0.75 % /export/starexec/sandbox/solver/bin/lams/40_c.s.sh running for 80s
% 0.52/0.75 % /export/starexec/sandbox/solver/bin/lams/35_full_unif4.sh running for 80s
% 0.52/0.77 % /export/starexec/sandbox/solver/bin/lams/15_e_short1.sh running for 30s
% 0.52/0.77 % /export/starexec/sandbox/solver/bin/lams/40_noforms.sh running for 90s
% 0.52/0.77 % /export/starexec/sandbox/solver/bin/lams/40_c_ic.sh running for 80s
% 0.52/0.78 % /export/starexec/sandbox/solver/bin/lams/40_b.comb.sh running for 70s
% 0.52/0.80 % /export/starexec/sandbox/solver/bin/lams/20_acsne_simpl.sh running for 40s
% 0.53/0.81 % /export/starexec/sandbox/solver/bin/lams/30_sp5.sh running for 60s
% 0.53/0.98 % /export/starexec/sandbox/solver/bin/lams/30_b.l.sh running for 90s
% 131.33/17.22 % Solved by lams/40_c.s.sh.
% 131.33/17.22 % done 630 iterations in 16.402s
% 131.33/17.22 % SZS status Theorem for '/export/starexec/sandbox/benchmark/theBenchmark.p'
% 131.33/17.22 % SZS output start Refutation
% See solution above
% 131.33/17.22
% 131.33/17.22
% 131.33/17.22 % Terminating...
% 131.47/17.34 % Runner terminated.
% 131.47/17.35 % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------