%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : ITP202^1 : 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.aoa0e9xpk1 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 0.57s 0.91s
% Output : Refutation 0.57s
% Verified :
% SZS Type : Refutation
% Derivation depth : 14
% Number of leaves : 8
% Syntax : Number of formulae : 48 ( 28 unt; 0 typ; 0 def)
% Number of atoms : 95 ( 81 equ; 0 cnn)
% Maximal formula atoms : 5 ( 1 avg)
% Number of connectives : 580 ( 34 ~; 3 |; 8 &; 499 @)
% ( 0 <=>; 30 =>; 0 <=; 0 <~>)
% Maximal formula depth : 7 ( 3 avg)
% Number of types : 9 ( 9 usr)
% Number of type conns : 184 ( 184 >; 0 *; 0 +; 0 <<)
% Number of symbols : 20 ( 16 usr; 9 con; 0-3 aty)
% ( 6 !!; 0 ??; 0 @@+; 0 @@-)
% Number of variables : 208 ( 190 ^; 18 !; 0 ?; 208 :)
% Comments :
%------------------------------------------------------------------------------
thf(option_trm_type,type,
option_trm: $tType ).
thf(produc1418842292n_game_type,type,
produc1418842292n_game: $tType ).
thf(char_type,type,
char: $tType ).
thf(set_variable_type,type,
set_variable: $tType ).
thf(trm_type,type,
trm: $tType ).
thf(produc866613687on_trm_type,type,
produc866613687on_trm: ( ( char > option_trm ) > produc62062515n_game > char > option_trm ) > produc1418842292n_game > char > option_trm ).
thf(the_trm_type,type,
the_trm: option_trm > trm ).
thf(produc62062515n_game_type,type,
produc62062515n_game: $tType ).
thf(bot_bot_set_variable_type,type,
bot_bot_set_variable: set_variable ).
thf(uSubst516392818stappt_type,type,
uSubst516392818stappt: produc1418842292n_game > set_variable > trm > option_trm ).
thf(option_game_type,type,
option_game: $tType ).
thf(produc799602994n_game_type,type,
produc799602994n_game: $tType ).
thf(f_type,type,
f: char ).
thf(some_trm_type,type,
some_trm: trm > option_trm ).
thf(sigma_type,type,
sigma: produc1418842292n_game ).
thf(none_trm_type,type,
none_trm: option_trm ).
thf(produc1231571704on_trm_type,type,
produc1231571704on_trm: ( ( char > option_trm ) > produc799602994n_game > char > option_trm ) > produc62062515n_game > char > option_trm ).
thf(uSubst1559070963pconst_type,type,
uSubst1559070963pconst: produc1418842292n_game > set_variable > char > option_trm ).
thf(static_FVT_type,type,
static_FVT: trm > set_variable ).
thf(const_type,type,
const: char > trm ).
thf(produc1036610745on_trm_type,type,
produc1036610745on_trm: ( ( char > option_fml ) > ( char > option_game ) > char > option_trm ) > produc799602994n_game > char > option_trm ).
thf(u_type,type,
u: set_variable ).
thf(inf_inf_set_variable_type,type,
inf_inf_set_variable: set_variable > set_variable > set_variable ).
thf(option_fml_type,type,
option_fml: $tType ).
thf(v_type,type,
v: set_variable ).
thf(fact_10__092_060open_062SConst_A_092_060sigma_062_Af_A_092_060noteq_062_Aundeft_A_092_060longrightarrow_062_A_Iif_AFVT_A_Ithe_A_ISConst_A_092_060sigma_062_Af_J_J_A_092_060inter_062_AU_A_061_A_123_125_Athen_AAterm_A_Ithe_A_ISConst_A_092_060sigma_062_Af_J_J_Aelse_Aundeft_J_A_061_Ausappconst_A_092_060sigma_062_AU_Af_092_060close_062,axiom,
( ( ( produc866613687on_trm
@ ^ [F0: char > option_trm] :
( produc1231571704on_trm
@ ^ [Uu: char > option_trm] :
( produc1036610745on_trm
@ ^ [Uv: char > option_fml,Uw: char > option_game] : F0 ) )
@ sigma
@ f )
!= none_trm )
=> ( ( ( ( inf_inf_set_variable
@ ( static_FVT
@ ( the_trm
@ ( produc866613687on_trm
@ ^ [F0: char > option_trm] :
( produc1231571704on_trm
@ ^ [Uu: char > option_trm] :
( produc1036610745on_trm
@ ^ [Uv: char > option_fml,Uw: char > option_game] : F0 ) )
@ sigma
@ f ) ) )
@ u )
!= bot_bot_set_variable )
=> ( none_trm
= ( uSubst1559070963pconst @ sigma @ u @ f ) ) )
& ( ( ( inf_inf_set_variable
@ ( static_FVT
@ ( the_trm
@ ( produc866613687on_trm
@ ^ [F0: char > option_trm] :
( produc1231571704on_trm
@ ^ [Uu: char > option_trm] :
( produc1036610745on_trm
@ ^ [Uv: char > option_fml,Uw: char > option_game] : F0 ) )
@ sigma
@ f ) ) )
@ u )
= bot_bot_set_variable )
=> ( ( some_trm
@ ( the_trm
@ ( produc866613687on_trm
@ ^ [F0: char > option_trm] :
( produc1231571704on_trm
@ ^ [Uu: char > option_trm] :
( produc1036610745on_trm
@ ^ [Uv: char > option_fml,Uw: char > option_game] : F0 ) )
@ sigma
@ f ) ) )
= ( uSubst1559070963pconst @ sigma @ u @ f ) ) ) ) ) ).
thf(zip_derived_cl10,plain,
( ( ( produc866613687on_trm
@ ^ [Y0: char > option_trm] :
( produc1231571704on_trm
@ ^ [Y1: char > option_trm] :
( produc1036610745on_trm
@ ^ [Y2: char > option_fml,Y3: char > option_game] : Y0 ) )
@ sigma
@ f )
!= none_trm )
=> ( ( ( ( inf_inf_set_variable
@ ( static_FVT
@ ( the_trm
@ ( produc866613687on_trm
@ ^ [Y0: char > option_trm] :
( produc1231571704on_trm
@ ^ [Y1: char > option_trm] :
( produc1036610745on_trm
@ ^ [Y2: char > option_fml,Y3: char > option_game] : Y0 ) )
@ sigma
@ f ) ) )
@ u )
!= bot_bot_set_variable )
=> ( none_trm
= ( uSubst1559070963pconst @ sigma @ u @ f ) ) )
& ( ( ( inf_inf_set_variable
@ ( static_FVT
@ ( the_trm
@ ( produc866613687on_trm
@ ^ [Y0: char > option_trm] :
( produc1231571704on_trm
@ ^ [Y1: char > option_trm] :
( produc1036610745on_trm
@ ^ [Y2: char > option_fml,Y3: char > option_game] : Y0 ) )
@ sigma
@ f ) ) )
@ u )
= bot_bot_set_variable )
=> ( ( some_trm
@ ( the_trm
@ ( produc866613687on_trm
@ ^ [Y0: char > option_trm] :
( produc1231571704on_trm
@ ^ [Y1: char > option_trm] :
( produc1036610745on_trm
@ ^ [Y2: char > option_fml,Y3: char > option_game] : Y0 ) )
@ sigma
@ f ) ) )
= ( uSubst1559070963pconst @ sigma @ u @ f ) ) ) ) ),
inference(cnf,[status(esa)],[fact_10__092_060open_062SConst_A_092_060sigma_062_Af_A_092_060noteq_062_Aundeft_A_092_060longrightarrow_062_A_Iif_AFVT_A_Ithe_A_ISConst_A_092_060sigma_062_Af_J_J_A_092_060inter_062_AU_A_061_A_123_125_Athen_AAterm_A_Ithe_A_ISConst_A_092_060sigma_062_Af_J_J_Aelse_Aundeft_J_A_061_Ausappconst_A_092_060sigma_062_AU_Af_092_060close_062]) ).
thf(fact_3_f3,axiom,
( ( ( produc866613687on_trm
@ ^ [F0: char > option_trm] :
( produc1231571704on_trm
@ ^ [Uu: char > option_trm] :
( produc1036610745on_trm
@ ^ [Uv: char > option_fml,Uw: char > option_game] : F0 ) )
@ sigma
@ f )
!= none_trm )
=> ( ( inf_inf_set_variable
@ ( static_FVT
@ ( the_trm
@ ( produc866613687on_trm
@ ^ [F0: char > option_trm] :
( produc1231571704on_trm
@ ^ [Uu: char > option_trm] :
( produc1036610745on_trm
@ ^ [Uv: char > option_fml,Uw: char > option_game] : F0 ) )
@ sigma
@ f ) ) )
@ u )
= bot_bot_set_variable ) ) ).
thf(zip_derived_cl3,plain,
( ( ( produc866613687on_trm
@ ^ [Y0: char > option_trm] :
( produc1231571704on_trm
@ ^ [Y1: char > option_trm] :
( produc1036610745on_trm
@ ^ [Y2: char > option_fml,Y3: char > option_game] : Y0 ) )
@ sigma
@ f )
!= none_trm )
=> ( ( inf_inf_set_variable
@ ( static_FVT
@ ( the_trm
@ ( produc866613687on_trm
@ ^ [Y0: char > option_trm] :
( produc1231571704on_trm
@ ^ [Y1: char > option_trm] :
( produc1036610745on_trm
@ ^ [Y2: char > option_fml,Y3: char > option_game] : Y0 ) )
@ sigma
@ f ) ) )
@ u )
= bot_bot_set_variable ) ),
inference(cnf,[status(esa)],[fact_3_f3]) ).
thf(conj_0,conjecture,
( ( ( produc866613687on_trm
@ ^ [F0: char > option_trm] :
( produc1231571704on_trm
@ ^ [Uu: char > option_trm] :
( produc1036610745on_trm
@ ^ [Uv: char > option_fml,Uw: char > option_game] : F0 ) )
@ sigma
@ f )
= none_trm )
| ( ( uSubst516392818stappt @ sigma @ u @ ( const @ f ) )
= ( uSubst1559070963pconst @ sigma @ v @ f ) ) ) ).
thf(zf_stmt_0,negated_conjecture,
~ ( ( ( produc866613687on_trm
@ ^ [F0: char > option_trm] :
( produc1231571704on_trm
@ ^ [Uu: char > option_trm] :
( produc1036610745on_trm
@ ^ [Uv: char > option_fml,Uw: char > option_game] : F0 ) )
@ sigma
@ f )
= none_trm )
| ( ( uSubst516392818stappt @ sigma @ u @ ( const @ f ) )
= ( uSubst1559070963pconst @ sigma @ v @ f ) ) ),
inference('cnf.neg',[status(esa)],[conj_0]) ).
thf(zip_derived_cl166,plain,
~ ( ( ( produc866613687on_trm
@ ^ [Y0: char > option_trm] :
( produc1231571704on_trm
@ ^ [Y1: char > option_trm] :
( produc1036610745on_trm
@ ^ [Y2: char > option_fml,Y3: char > option_game] : Y0 ) )
@ sigma
@ f )
= none_trm )
| ( ( uSubst516392818stappt @ sigma @ u @ ( const @ f ) )
= ( uSubst1559070963pconst @ sigma @ v @ f ) ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl178,plain,
( ( produc866613687on_trm
@ ^ [Y0: char > option_trm] :
( produc1231571704on_trm
@ ^ [Y1: char > option_trm] :
( produc1036610745on_trm
@ ^ [Y2: char > option_fml,Y3: char > option_game] : Y0 ) )
@ sigma
@ f )
!= none_trm ),
inference(lazy_cnf_or,[status(thm)],[zip_derived_cl166]) ).
thf(zip_derived_cl180,plain,
( ( produc866613687on_trm
@ ^ [Y0: char > option_trm] :
( produc1231571704on_trm
@ ^ [Y1: char > option_trm] :
( produc1036610745on_trm
@ ^ [Y2: char > option_fml,Y3: char > option_game] : Y0 ) )
@ sigma
@ f )
!= none_trm ),
inference('simplify nested equalities',[status(thm)],[zip_derived_cl178]) ).
thf(zip_derived_cl197,plain,
( $true
=> ( ( inf_inf_set_variable
@ ( static_FVT
@ ( the_trm
@ ( produc866613687on_trm
@ ^ [Y0: char > option_trm] :
( produc1231571704on_trm
@ ^ [Y1: char > option_trm] :
( produc1036610745on_trm
@ ^ [Y2: char > option_fml,Y3: char > option_game] : Y0 ) )
@ sigma
@ f ) ) )
@ u )
= bot_bot_set_variable ) ),
inference(inner_simplify_reflect,[status(thm)],[zip_derived_cl3,zip_derived_cl180]) ).
thf(zip_derived_cl198,plain,
( ( inf_inf_set_variable
@ ( static_FVT
@ ( the_trm
@ ( produc866613687on_trm
@ ^ [Y0: char > option_trm] :
( produc1231571704on_trm
@ ^ [Y1: char > option_trm] :
( produc1036610745on_trm
@ ^ [Y2: char > option_fml,Y3: char > option_game] : Y0 ) )
@ sigma
@ f ) ) )
@ u )
= bot_bot_set_variable ),
inference('simplify boolean subterms',[status(thm)],[zip_derived_cl197]) ).
thf(zip_derived_cl199,plain,
( ( inf_inf_set_variable
@ ( static_FVT
@ ( the_trm
@ ( produc866613687on_trm
@ ^ [Y0: char > option_trm] :
( produc1231571704on_trm
@ ^ [Y1: char > option_trm] :
( produc1036610745on_trm
@ ^ [Y2: char > option_fml,Y3: char > option_game] : Y0 ) )
@ sigma
@ f ) ) )
@ u )
= bot_bot_set_variable ),
inference('simplify nested equalities',[status(thm)],[zip_derived_cl198]) ).
thf(zip_derived_cl199_001,plain,
( ( inf_inf_set_variable
@ ( static_FVT
@ ( the_trm
@ ( produc866613687on_trm
@ ^ [Y0: char > option_trm] :
( produc1231571704on_trm
@ ^ [Y1: char > option_trm] :
( produc1036610745on_trm
@ ^ [Y2: char > option_fml,Y3: char > option_game] : Y0 ) )
@ sigma
@ f ) ) )
@ u )
= bot_bot_set_variable ),
inference('simplify nested equalities',[status(thm)],[zip_derived_cl198]) ).
thf(fact_9__092_060open_062SConst_A_092_060sigma_062_Af_A_092_060noteq_062_Aundeft_A_092_060longrightarrow_062_A_Iif_AFVT_A_Ithe_A_ISConst_A_092_060sigma_062_Af_J_J_A_092_060inter_062_AV_A_061_A_123_125_Athen_AAterm_A_Ithe_A_ISConst_A_092_060sigma_062_Af_J_J_Aelse_Aundeft_J_A_061_Ausappconst_A_092_060sigma_062_AV_Af_092_060close_062,axiom,
( ( ( produc866613687on_trm
@ ^ [F0: char > option_trm] :
( produc1231571704on_trm
@ ^ [Uu: char > option_trm] :
( produc1036610745on_trm
@ ^ [Uv: char > option_fml,Uw: char > option_game] : F0 ) )
@ sigma
@ f )
!= none_trm )
=> ( ( ( ( inf_inf_set_variable
@ ( static_FVT
@ ( the_trm
@ ( produc866613687on_trm
@ ^ [F0: char > option_trm] :
( produc1231571704on_trm
@ ^ [Uu: char > option_trm] :
( produc1036610745on_trm
@ ^ [Uv: char > option_fml,Uw: char > option_game] : F0 ) )
@ sigma
@ f ) ) )
@ v )
!= bot_bot_set_variable )
=> ( none_trm
= ( uSubst1559070963pconst @ sigma @ v @ f ) ) )
& ( ( ( inf_inf_set_variable
@ ( static_FVT
@ ( the_trm
@ ( produc866613687on_trm
@ ^ [F0: char > option_trm] :
( produc1231571704on_trm
@ ^ [Uu: char > option_trm] :
( produc1036610745on_trm
@ ^ [Uv: char > option_fml,Uw: char > option_game] : F0 ) )
@ sigma
@ f ) ) )
@ v )
= bot_bot_set_variable )
=> ( ( some_trm
@ ( the_trm
@ ( produc866613687on_trm
@ ^ [F0: char > option_trm] :
( produc1231571704on_trm
@ ^ [Uu: char > option_trm] :
( produc1036610745on_trm
@ ^ [Uv: char > option_fml,Uw: char > option_game] : F0 ) )
@ sigma
@ f ) ) )
= ( uSubst1559070963pconst @ sigma @ v @ f ) ) ) ) ) ).
thf(zip_derived_cl9,plain,
( ( ( produc866613687on_trm
@ ^ [Y0: char > option_trm] :
( produc1231571704on_trm
@ ^ [Y1: char > option_trm] :
( produc1036610745on_trm
@ ^ [Y2: char > option_fml,Y3: char > option_game] : Y0 ) )
@ sigma
@ f )
!= none_trm )
=> ( ( ( ( inf_inf_set_variable
@ ( static_FVT
@ ( the_trm
@ ( produc866613687on_trm
@ ^ [Y0: char > option_trm] :
( produc1231571704on_trm
@ ^ [Y1: char > option_trm] :
( produc1036610745on_trm
@ ^ [Y2: char > option_fml,Y3: char > option_game] : Y0 ) )
@ sigma
@ f ) ) )
@ v )
!= bot_bot_set_variable )
=> ( none_trm
= ( uSubst1559070963pconst @ sigma @ v @ f ) ) )
& ( ( ( inf_inf_set_variable
@ ( static_FVT
@ ( the_trm
@ ( produc866613687on_trm
@ ^ [Y0: char > option_trm] :
( produc1231571704on_trm
@ ^ [Y1: char > option_trm] :
( produc1036610745on_trm
@ ^ [Y2: char > option_fml,Y3: char > option_game] : Y0 ) )
@ sigma
@ f ) ) )
@ v )
= bot_bot_set_variable )
=> ( ( some_trm
@ ( the_trm
@ ( produc866613687on_trm
@ ^ [Y0: char > option_trm] :
( produc1231571704on_trm
@ ^ [Y1: char > option_trm] :
( produc1036610745on_trm
@ ^ [Y2: char > option_fml,Y3: char > option_game] : Y0 ) )
@ sigma
@ f ) ) )
= ( uSubst1559070963pconst @ sigma @ v @ f ) ) ) ) ),
inference(cnf,[status(esa)],[fact_9__092_060open_062SConst_A_092_060sigma_062_Af_A_092_060noteq_062_Aundeft_A_092_060longrightarrow_062_A_Iif_AFVT_A_Ithe_A_ISConst_A_092_060sigma_062_Af_J_J_A_092_060inter_062_AV_A_061_A_123_125_Athen_AAterm_A_Ithe_A_ISConst_A_092_060sigma_062_Af_J_J_Aelse_Aundeft_J_A_061_Ausappconst_A_092_060sigma_062_AV_Af_092_060close_062]) ).
thf(fact_4__092_060open_062SConst_A_092_060sigma_062_Af_A_092_060noteq_062_Aundeft_A_092_060longrightarrow_062_AFVT_A_Ithe_A_ISConst_A_092_060sigma_062_Af_J_J_A_092_060inter_062_AV_A_061_A_123_125_092_060close_062,axiom,
( ( ( produc866613687on_trm
@ ^ [F0: char > option_trm] :
( produc1231571704on_trm
@ ^ [Uu: char > option_trm] :
( produc1036610745on_trm
@ ^ [Uv: char > option_fml,Uw: char > option_game] : F0 ) )
@ sigma
@ f )
!= none_trm )
=> ( ( inf_inf_set_variable
@ ( static_FVT
@ ( the_trm
@ ( produc866613687on_trm
@ ^ [F0: char > option_trm] :
( produc1231571704on_trm
@ ^ [Uu: char > option_trm] :
( produc1036610745on_trm
@ ^ [Uv: char > option_fml,Uw: char > option_game] : F0 ) )
@ sigma
@ f ) ) )
@ v )
= bot_bot_set_variable ) ) ).
thf(zip_derived_cl4,plain,
( ( ( produc866613687on_trm
@ ^ [Y0: char > option_trm] :
( produc1231571704on_trm
@ ^ [Y1: char > option_trm] :
( produc1036610745on_trm
@ ^ [Y2: char > option_fml,Y3: char > option_game] : Y0 ) )
@ sigma
@ f )
!= none_trm )
=> ( ( inf_inf_set_variable
@ ( static_FVT
@ ( the_trm
@ ( produc866613687on_trm
@ ^ [Y0: char > option_trm] :
( produc1231571704on_trm
@ ^ [Y1: char > option_trm] :
( produc1036610745on_trm
@ ^ [Y2: char > option_fml,Y3: char > option_game] : Y0 ) )
@ sigma
@ f ) ) )
@ v )
= bot_bot_set_variable ) ),
inference(cnf,[status(esa)],[fact_4__092_060open_062SConst_A_092_060sigma_062_Af_A_092_060noteq_062_Aundeft_A_092_060longrightarrow_062_AFVT_A_Ithe_A_ISConst_A_092_060sigma_062_Af_J_J_A_092_060inter_062_AV_A_061_A_123_125_092_060close_062]) ).
thf(zip_derived_cl180_002,plain,
( ( produc866613687on_trm
@ ^ [Y0: char > option_trm] :
( produc1231571704on_trm
@ ^ [Y1: char > option_trm] :
( produc1036610745on_trm
@ ^ [Y2: char > option_fml,Y3: char > option_game] : Y0 ) )
@ sigma
@ f )
!= none_trm ),
inference('simplify nested equalities',[status(thm)],[zip_derived_cl178]) ).
thf(zip_derived_cl223,plain,
( $true
=> ( ( inf_inf_set_variable
@ ( static_FVT
@ ( the_trm
@ ( produc866613687on_trm
@ ^ [Y0: char > option_trm] :
( produc1231571704on_trm
@ ^ [Y1: char > option_trm] :
( produc1036610745on_trm
@ ^ [Y2: char > option_fml,Y3: char > option_game] : Y0 ) )
@ sigma
@ f ) ) )
@ v )
= bot_bot_set_variable ) ),
inference(inner_simplify_reflect,[status(thm)],[zip_derived_cl4,zip_derived_cl180]) ).
thf(zip_derived_cl224,plain,
( ( inf_inf_set_variable
@ ( static_FVT
@ ( the_trm
@ ( produc866613687on_trm
@ ^ [Y0: char > option_trm] :
( produc1231571704on_trm
@ ^ [Y1: char > option_trm] :
( produc1036610745on_trm
@ ^ [Y2: char > option_fml,Y3: char > option_game] : Y0 ) )
@ sigma
@ f ) ) )
@ v )
= bot_bot_set_variable ),
inference('simplify boolean subterms',[status(thm)],[zip_derived_cl223]) ).
thf(zip_derived_cl225,plain,
( ( inf_inf_set_variable
@ ( static_FVT
@ ( the_trm
@ ( produc866613687on_trm
@ ^ [Y0: char > option_trm] :
( produc1231571704on_trm
@ ^ [Y1: char > option_trm] :
( produc1036610745on_trm
@ ^ [Y2: char > option_fml,Y3: char > option_game] : Y0 ) )
@ sigma
@ f ) ) )
@ v )
= bot_bot_set_variable ),
inference('simplify nested equalities',[status(thm)],[zip_derived_cl224]) ).
thf(zip_derived_cl225_003,plain,
( ( inf_inf_set_variable
@ ( static_FVT
@ ( the_trm
@ ( produc866613687on_trm
@ ^ [Y0: char > option_trm] :
( produc1231571704on_trm
@ ^ [Y1: char > option_trm] :
( produc1036610745on_trm
@ ^ [Y2: char > option_fml,Y3: char > option_game] : Y0 ) )
@ sigma
@ f ) ) )
@ v )
= bot_bot_set_variable ),
inference('simplify nested equalities',[status(thm)],[zip_derived_cl224]) ).
thf(zip_derived_cl323,plain,
( ( ( produc866613687on_trm
@ ^ [Y0: char > option_trm] :
( produc1231571704on_trm
@ ^ [Y1: char > option_trm] :
( produc1036610745on_trm
@ ^ [Y2: char > option_fml,Y3: char > option_game] : Y0 ) )
@ sigma
@ f )
!= none_trm )
=> ( ( ( bot_bot_set_variable != bot_bot_set_variable )
=> ( none_trm
= ( uSubst1559070963pconst @ sigma @ v @ f ) ) )
& ( ( bot_bot_set_variable = bot_bot_set_variable )
=> ( ( some_trm
@ ( the_trm
@ ( produc866613687on_trm
@ ^ [Y0: char > option_trm] :
( produc1231571704on_trm
@ ^ [Y1: char > option_trm] :
( produc1036610745on_trm
@ ^ [Y2: char > option_fml,Y3: char > option_game] : Y0 ) )
@ sigma
@ f ) ) )
= ( uSubst1559070963pconst @ sigma @ v @ f ) ) ) ) ),
inference(demod,[status(thm)],[zip_derived_cl9,zip_derived_cl225,zip_derived_cl225]) ).
thf(zip_derived_cl180_004,plain,
( ( produc866613687on_trm
@ ^ [Y0: char > option_trm] :
( produc1231571704on_trm
@ ^ [Y1: char > option_trm] :
( produc1036610745on_trm
@ ^ [Y2: char > option_fml,Y3: char > option_game] : Y0 ) )
@ sigma
@ f )
!= none_trm ),
inference('simplify nested equalities',[status(thm)],[zip_derived_cl178]) ).
thf(fact_2_Const_Oprems_I2_J,axiom,
( ( uSubst516392818stappt @ sigma @ v @ ( const @ f ) )
!= none_trm ) ).
thf(zip_derived_cl2,plain,
( ( uSubst516392818stappt @ sigma @ v @ ( const @ f ) )
!= none_trm ),
inference(cnf,[status(esa)],[fact_2_Const_Oprems_I2_J]) ).
thf(fact_7_usubstappt_Osimps_I3_J,axiom,
! [Sigma2: produc1418842292n_game,U2: set_variable,F3: char] :
( ( uSubst516392818stappt @ Sigma2 @ U2 @ ( const @ F3 ) )
= ( uSubst1559070963pconst @ Sigma2 @ U2 @ F3 ) ) ).
thf(zip_derived_cl7,plain,
( !!
@ ^ [Y0: produc1418842292n_game] :
( !!
@ ^ [Y1: set_variable] :
( !!
@ ^ [Y2: char] :
( ( uSubst516392818stappt @ Y0 @ Y1 @ ( const @ Y2 ) )
= ( uSubst1559070963pconst @ Y0 @ Y1 @ Y2 ) ) ) ) ),
inference(cnf,[status(esa)],[fact_7_usubstappt_Osimps_I3_J]) ).
thf(zip_derived_cl289,plain,
! [X2: produc1418842292n_game] :
( !!
@ ^ [Y0: set_variable] :
( !!
@ ^ [Y1: char] :
( ( uSubst516392818stappt @ X2 @ Y0 @ ( const @ Y1 ) )
= ( uSubst1559070963pconst @ X2 @ Y0 @ Y1 ) ) ) ),
inference(lazy_cnf_forall,[status(thm)],[zip_derived_cl7]) ).
thf(zip_derived_cl290,plain,
! [X2: produc1418842292n_game,X4: set_variable] :
( !!
@ ^ [Y0: char] :
( ( uSubst516392818stappt @ X2 @ X4 @ ( const @ Y0 ) )
= ( uSubst1559070963pconst @ X2 @ X4 @ Y0 ) ) ),
inference(lazy_cnf_forall,[status(thm)],[zip_derived_cl289]) ).
thf(zip_derived_cl291,plain,
! [X2: produc1418842292n_game,X4: set_variable,X6: char] :
( ( uSubst516392818stappt @ X2 @ X4 @ ( const @ X6 ) )
= ( uSubst1559070963pconst @ X2 @ X4 @ X6 ) ),
inference(lazy_cnf_forall,[status(thm)],[zip_derived_cl290]) ).
thf(zip_derived_cl292,plain,
! [X2: produc1418842292n_game,X4: set_variable,X6: char] :
( ( uSubst516392818stappt @ X2 @ X4 @ ( const @ X6 ) )
= ( uSubst1559070963pconst @ X2 @ X4 @ X6 ) ),
inference('simplify nested equalities',[status(thm)],[zip_derived_cl291]) ).
thf(zip_derived_cl294,plain,
( ( uSubst1559070963pconst @ sigma @ v @ f )
!= none_trm ),
inference(demod,[status(thm)],[zip_derived_cl2,zip_derived_cl292]) ).
thf(zip_derived_cl324,plain,
( $true
=> ( ( ( bot_bot_set_variable != bot_bot_set_variable )
=> $false )
& ( ( bot_bot_set_variable = bot_bot_set_variable )
=> ( ( some_trm
@ ( the_trm
@ ( produc866613687on_trm
@ ^ [Y0: char > option_trm] :
( produc1231571704on_trm
@ ^ [Y1: char > option_trm] :
( produc1036610745on_trm
@ ^ [Y2: char > option_fml,Y3: char > option_game] : Y0 ) )
@ sigma
@ f ) ) )
= ( uSubst1559070963pconst @ sigma @ v @ f ) ) ) ) ),
inference(inner_simplify_reflect,[status(thm)],[zip_derived_cl323,zip_derived_cl180,zip_derived_cl294]) ).
thf(zip_derived_cl325,plain,
( ( some_trm
@ ( the_trm
@ ( produc866613687on_trm
@ ^ [Y0: char > option_trm] :
( produc1231571704on_trm
@ ^ [Y1: char > option_trm] :
( produc1036610745on_trm
@ ^ [Y2: char > option_fml,Y3: char > option_game] : Y0 ) )
@ sigma
@ f ) ) )
= ( uSubst1559070963pconst @ sigma @ v @ f ) ),
inference('simplify boolean subterms',[status(thm)],[zip_derived_cl324]) ).
thf(zip_derived_cl326,plain,
( ( some_trm
@ ( the_trm
@ ( produc866613687on_trm
@ ^ [Y0: char > option_trm] :
( produc1231571704on_trm
@ ^ [Y1: char > option_trm] :
( produc1036610745on_trm
@ ^ [Y2: char > option_fml,Y3: char > option_game] : Y0 ) )
@ sigma
@ f ) ) )
= ( uSubst1559070963pconst @ sigma @ v @ f ) ),
inference('simplify nested equalities',[status(thm)],[zip_derived_cl325]) ).
thf(zip_derived_cl369,plain,
( ( ( produc866613687on_trm
@ ^ [Y0: char > option_trm] :
( produc1231571704on_trm
@ ^ [Y1: char > option_trm] :
( produc1036610745on_trm
@ ^ [Y2: char > option_fml,Y3: char > option_game] : Y0 ) )
@ sigma
@ f )
!= none_trm )
=> ( ( ( bot_bot_set_variable != bot_bot_set_variable )
=> ( none_trm
= ( uSubst1559070963pconst @ sigma @ u @ f ) ) )
& ( ( bot_bot_set_variable = bot_bot_set_variable )
=> ( ( uSubst1559070963pconst @ sigma @ v @ f )
= ( uSubst1559070963pconst @ sigma @ u @ f ) ) ) ) ),
inference(demod,[status(thm)],[zip_derived_cl10,zip_derived_cl199,zip_derived_cl199,zip_derived_cl326]) ).
thf(zip_derived_cl180_005,plain,
( ( produc866613687on_trm
@ ^ [Y0: char > option_trm] :
( produc1231571704on_trm
@ ^ [Y1: char > option_trm] :
( produc1036610745on_trm
@ ^ [Y2: char > option_fml,Y3: char > option_game] : Y0 ) )
@ sigma
@ f )
!= none_trm ),
inference('simplify nested equalities',[status(thm)],[zip_derived_cl178]) ).
thf(fact_1_Const_Oprems_I1_J,axiom,
( ( uSubst516392818stappt @ sigma @ u @ ( const @ f ) )
!= none_trm ) ).
thf(zip_derived_cl1,plain,
( ( uSubst516392818stappt @ sigma @ u @ ( const @ f ) )
!= none_trm ),
inference(cnf,[status(esa)],[fact_1_Const_Oprems_I1_J]) ).
thf(zip_derived_cl292_006,plain,
! [X2: produc1418842292n_game,X4: set_variable,X6: char] :
( ( uSubst516392818stappt @ X2 @ X4 @ ( const @ X6 ) )
= ( uSubst1559070963pconst @ X2 @ X4 @ X6 ) ),
inference('simplify nested equalities',[status(thm)],[zip_derived_cl291]) ).
thf(zip_derived_cl293,plain,
( ( uSubst1559070963pconst @ sigma @ u @ f )
!= none_trm ),
inference(demod,[status(thm)],[zip_derived_cl1,zip_derived_cl292]) ).
thf(zip_derived_cl179,plain,
( ( uSubst516392818stappt @ sigma @ u @ ( const @ f ) )
!= ( uSubst1559070963pconst @ sigma @ v @ f ) ),
inference(lazy_cnf_or,[status(thm)],[zip_derived_cl166]) ).
thf(zip_derived_cl181,plain,
( ( uSubst516392818stappt @ sigma @ u @ ( const @ f ) )
!= ( uSubst1559070963pconst @ sigma @ v @ f ) ),
inference('simplify nested equalities',[status(thm)],[zip_derived_cl179]) ).
thf(zip_derived_cl292_007,plain,
! [X2: produc1418842292n_game,X4: set_variable,X6: char] :
( ( uSubst516392818stappt @ X2 @ X4 @ ( const @ X6 ) )
= ( uSubst1559070963pconst @ X2 @ X4 @ X6 ) ),
inference('simplify nested equalities',[status(thm)],[zip_derived_cl291]) ).
thf(zip_derived_cl296,plain,
( ( uSubst1559070963pconst @ sigma @ u @ f )
!= ( uSubst1559070963pconst @ sigma @ v @ f ) ),
inference(demod,[status(thm)],[zip_derived_cl181,zip_derived_cl292]) ).
thf(zip_derived_cl370,plain,
( $true
=> ( ( ( bot_bot_set_variable != bot_bot_set_variable )
=> $false )
& ( ( bot_bot_set_variable = bot_bot_set_variable )
=> $false ) ) ),
inference(inner_simplify_reflect,[status(thm)],[zip_derived_cl369,zip_derived_cl180,zip_derived_cl293,zip_derived_cl296]) ).
thf(zip_derived_cl371,plain,
$false,
inference('simplify boolean subterms',[status(thm)],[zip_derived_cl370]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.11 % Problem : ITP202^1 : TPTP v9.2.0. Released v7.5.0.
% 0.06/0.12 % Command : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.aoa0e9xpk1 true
% 0.12/0.33 % Computer : n006.cluster.edu
% 0.12/0.33 % Model : x86_64 x86_64
% 0.12/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33 % Memory : 8042.1875MB
% 0.12/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.34 % CPULimit : 300
% 0.12/0.34 % WCLimit : 300
% 0.12/0.34 % DateTime : Wed Oct 1 15:27:53 EDT 2025
% 0.12/0.34 % CPUTime :
% 0.12/0.34 % Running portfolio for 300 s
% 0.12/0.34 % File : /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.12/0.34 % Number of cores: 8
% 0.12/0.34 % Python version: Python 3.6.8
% 0.12/0.34 % Running in HO mode
% 0.55/0.65 % Total configuration time : 828
% 0.55/0.65 % Estimated wc time : 1656
% 0.55/0.65 % Estimated cpu time (8 cpus) : 207.0
% 0.55/0.69 % /export/starexec/sandbox/solver/bin/lams/40_c.s.sh running for 80s
% 0.55/0.72 % /export/starexec/sandbox/solver/bin/lams/35_full_unif4.sh running for 80s
% 0.55/0.72 % /export/starexec/sandbox/solver/bin/lams/40_c_ic.sh running for 80s
% 0.55/0.74 % /export/starexec/sandbox/solver/bin/lams/15_e_short1.sh running for 30s
% 0.55/0.74 % /export/starexec/sandbox/solver/bin/lams/40_noforms.sh running for 90s
% 0.55/0.74 % /export/starexec/sandbox/solver/bin/lams/40_b.comb.sh running for 70s
% 0.55/0.75 % /export/starexec/sandbox/solver/bin/lams/20_acsne_simpl.sh running for 40s
% 0.55/0.75 % /export/starexec/sandbox/solver/bin/lams/30_sp5.sh running for 60s
% 0.56/0.79 % /export/starexec/sandbox/solver/bin/lams/30_b.l.sh running for 90s
% 0.57/0.91 % Solved by lams/30_sp5.sh.
% 0.57/0.91 % done 0 iterations in 0.129s
% 0.57/0.91 % SZS status Theorem for '/export/starexec/sandbox/benchmark/theBenchmark.p'
% 0.57/0.91 % SZS output start Refutation
% See solution above
% 0.57/0.91
% 0.57/0.91
% 0.57/0.91 % Terminating...
% 0.58/0.95 % Runner terminated.
% 0.58/0.96 % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------