TSTP Solution File: SCT123+1 by Zipperpin---2.1.9999
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%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : SCT123+1 : TPTP v8.1.2. Released v5.2.0.
% Transfm : NO INFORMATION
% Format : NO INFORMATION
% Command : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.K1ElMQN2WN true
% Computer : n026.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 Aug 31 14:27:16 EDT 2023
% Result : Theorem 36.51s 5.90s
% Output : Refutation 36.51s
% Verified :
% SZS Type : Refutation
% Derivation depth : 10
% Number of leaves : 31
% Syntax : Number of formulae : 82 ( 26 unt; 20 typ; 0 def)
% Number of atoms : 106 ( 23 equ; 0 cnn)
% Maximal formula atoms : 5 ( 1 avg)
% Number of connectives : 842 ( 46 ~; 30 |; 0 &; 752 @)
% ( 1 <=>; 13 =>; 0 <=; 0 <~>)
% Maximal formula depth : 18 ( 10 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 39 ( 39 >; 0 *; 0 +; 0 <<)
% Number of symbols : 20 ( 18 usr; 7 con; 0-5 aty)
% Number of variables : 186 ( 0 ^; 186 !; 0 ?; 186 :)
% Comments :
%------------------------------------------------------------------------------
thf(tc_prod_type,type,
tc_prod: $i > $i > $i ).
thf(c_FuncSet_OPi_type,type,
c_FuncSet_OPi: $i > $i > $i > $i > $i ).
thf(hBOOL_type,type,
hBOOL: $i > $o ).
thf(tc_HOL_Obool_type,type,
tc_HOL_Obool: $i ).
thf(hAPP_type,type,
hAPP: $i > $i > $i ).
thf(c_member_type,type,
c_member: $i > $i ).
thf(zip_tseitin_0_type,type,
zip_tseitin_0: $i > $i > $i > $i > $o ).
thf(sk__2_type,type,
sk__2: $i > $i > $i > $i > $i > $i ).
thf(c_Arrow__Order__Mirabelle_OProf_type,type,
c_Arrow__Order__Mirabelle_OProf: $i ).
thf(zip_tseitin_1_type,type,
zip_tseitin_1: $i > $i > $i > $i > $o ).
thf(tc_Arrow__Order__Mirabelle_Oindi_type,type,
tc_Arrow__Order__Mirabelle_Oindi: $i ).
thf(c_Orderings_Otop__class_Otop_type,type,
c_Orderings_Otop__class_Otop: $i > $i ).
thf(v_L_type,type,
v_L: $i ).
thf(sk__type,type,
sk_: $i > $i > $i ).
thf(tc_fun_type,type,
tc_fun: $i > $i > $i ).
thf(c_Arrow__Order__Mirabelle_OLin_type,type,
c_Arrow__Order__Mirabelle_OLin: $i ).
thf(tc_Arrow__Order__Mirabelle_Oalt_type,type,
tc_Arrow__Order__Mirabelle_Oalt: $i ).
thf(c_COMBK_type,type,
c_COMBK: $i > $i > $i > $i ).
thf(fact_equalityCE,axiom,
! [V_c_2: $i,T_a: $i,V_B_2: $i,V_A_2: $i] :
( ( V_A_2 = V_B_2 )
=> ( ( ( hBOOL @ ( hAPP @ ( hAPP @ ( c_member @ T_a ) @ V_c_2 ) @ V_A_2 ) )
=> ~ ( hBOOL @ ( hAPP @ ( hAPP @ ( c_member @ T_a ) @ V_c_2 ) @ V_B_2 ) ) )
=> ~ ( ~ ( hBOOL @ ( hAPP @ ( hAPP @ ( c_member @ T_a ) @ V_c_2 ) @ V_A_2 ) )
=> ( hBOOL @ ( hAPP @ ( hAPP @ ( c_member @ T_a ) @ V_c_2 ) @ V_B_2 ) ) ) ) ) ).
thf(zf_stmt_0,axiom,
! [V_A_2: $i,V_B_2: $i,T_a: $i,V_c_2: $i] :
( ( ( hBOOL @ ( hAPP @ ( hAPP @ ( c_member @ T_a ) @ V_c_2 ) @ V_A_2 ) )
=> ~ ( hBOOL @ ( hAPP @ ( hAPP @ ( c_member @ T_a ) @ V_c_2 ) @ V_B_2 ) ) )
=> ( zip_tseitin_0 @ V_A_2 @ V_B_2 @ T_a @ V_c_2 ) ) ).
thf(zip_derived_cl1,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( zip_tseitin_0 @ X0 @ X1 @ X2 @ X3 )
| ( hBOOL @ ( hAPP @ ( hAPP @ ( c_member @ X2 ) @ X3 ) @ X1 ) ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(fact_mem__def,axiom,
! [V_A_2: $i,V_x_2: $i,T_a: $i] :
( ( hBOOL @ ( hAPP @ ( hAPP @ ( c_member @ T_a ) @ V_x_2 ) @ V_A_2 ) )
<=> ( hBOOL @ ( hAPP @ V_A_2 @ V_x_2 ) ) ) ).
thf(zip_derived_cl7,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( hBOOL @ ( hAPP @ X0 @ X1 ) )
| ~ ( hBOOL @ ( hAPP @ ( hAPP @ ( c_member @ X2 ) @ X1 ) @ X0 ) ) ),
inference(cnf,[status(esa)],[fact_mem__def]) ).
thf(zip_derived_cl39,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( zip_tseitin_0 @ X3 @ X0 @ X2 @ X1 )
| ( hBOOL @ ( hAPP @ X0 @ X1 ) ) ),
inference('sup-',[status(thm)],[zip_derived_cl1,zip_derived_cl7]) ).
thf(help_c__COMBK__1,axiom,
! [V_Q: $i,V_P: $i,T_b: $i,T_a: $i] :
( ( hAPP @ ( c_COMBK @ T_a @ T_b @ V_P ) @ V_Q )
= V_P ) ).
thf(zip_derived_cl31,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( hAPP @ ( c_COMBK @ X1 @ X2 @ X0 ) @ X3 )
= X0 ),
inference(cnf,[status(esa)],[help_c__COMBK__1]) ).
thf(zip_derived_cl31_001,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( hAPP @ ( c_COMBK @ X1 @ X2 @ X0 ) @ X3 )
= X0 ),
inference(cnf,[status(esa)],[help_c__COMBK__1]) ).
thf(fact_ext,axiom,
! [V_g_2: $i,V_f_2: $i] :
( ! [B_x: $i] :
( ( hAPP @ V_f_2 @ B_x )
= ( hAPP @ V_g_2 @ B_x ) )
=> ( V_f_2 = V_g_2 ) ) ).
thf(zip_derived_cl0,plain,
! [X0: $i,X1: $i] :
( ( X1 = X0 )
| ( ( hAPP @ X1 @ ( sk_ @ X1 @ X0 ) )
!= ( hAPP @ X0 @ ( sk_ @ X1 @ X0 ) ) ) ),
inference(cnf,[status(esa)],[fact_ext]) ).
thf(zip_derived_cl36,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( ( hAPP @ X3 @ ( sk_ @ X3 @ ( c_COMBK @ X2 @ X1 @ X0 ) ) )
!= X0 )
| ( X3
= ( c_COMBK @ X2 @ X1 @ X0 ) ) ),
inference('sup-',[status(thm)],[zip_derived_cl31,zip_derived_cl0]) ).
thf(zip_derived_cl44,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( ( X0 != X1 )
| ( ( c_COMBK @ X5 @ X4 @ X0 )
= ( c_COMBK @ X3 @ X2 @ X1 ) ) ),
inference('sup-',[status(thm)],[zip_derived_cl31,zip_derived_cl36]) ).
thf(zip_derived_cl70,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( ( c_COMBK @ X2 @ X1 @ X0 )
= ( c_COMBK @ X4 @ X3 @ X0 ) ),
inference(eq_res,[status(thm)],[zip_derived_cl44]) ).
thf(zip_derived_cl8,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( hBOOL @ ( hAPP @ ( hAPP @ ( c_member @ X0 ) @ X1 ) @ X2 ) )
| ~ ( hBOOL @ ( hAPP @ X2 @ X1 ) ) ),
inference(cnf,[status(esa)],[fact_mem__def]) ).
thf(conj_1,conjecture,
hBOOL @ ( hAPP @ ( hAPP @ ( c_member @ ( tc_fun @ tc_Arrow__Order__Mirabelle_Oindi @ ( tc_fun @ ( tc_prod @ tc_Arrow__Order__Mirabelle_Oalt @ tc_Arrow__Order__Mirabelle_Oalt ) @ tc_HOL_Obool ) ) ) @ ( c_COMBK @ ( tc_fun @ ( tc_prod @ tc_Arrow__Order__Mirabelle_Oalt @ tc_Arrow__Order__Mirabelle_Oalt ) @ tc_HOL_Obool ) @ tc_Arrow__Order__Mirabelle_Oindi @ v_L ) ) @ c_Arrow__Order__Mirabelle_OProf ) ).
thf(zf_stmt_1,negated_conjecture,
~ ( hBOOL @ ( hAPP @ ( hAPP @ ( c_member @ ( tc_fun @ tc_Arrow__Order__Mirabelle_Oindi @ ( tc_fun @ ( tc_prod @ tc_Arrow__Order__Mirabelle_Oalt @ tc_Arrow__Order__Mirabelle_Oalt ) @ tc_HOL_Obool ) ) ) @ ( c_COMBK @ ( tc_fun @ ( tc_prod @ tc_Arrow__Order__Mirabelle_Oalt @ tc_Arrow__Order__Mirabelle_Oalt ) @ tc_HOL_Obool ) @ tc_Arrow__Order__Mirabelle_Oindi @ v_L ) ) @ c_Arrow__Order__Mirabelle_OProf ) ),
inference('cnf.neg',[status(esa)],[conj_1]) ).
thf(zip_derived_cl33,plain,
~ ( hBOOL @ ( hAPP @ ( hAPP @ ( c_member @ ( tc_fun @ tc_Arrow__Order__Mirabelle_Oindi @ ( tc_fun @ ( tc_prod @ tc_Arrow__Order__Mirabelle_Oalt @ tc_Arrow__Order__Mirabelle_Oalt ) @ tc_HOL_Obool ) ) ) @ ( c_COMBK @ ( tc_fun @ ( tc_prod @ tc_Arrow__Order__Mirabelle_Oalt @ tc_Arrow__Order__Mirabelle_Oalt ) @ tc_HOL_Obool ) @ tc_Arrow__Order__Mirabelle_Oindi @ v_L ) ) @ c_Arrow__Order__Mirabelle_OProf ) ),
inference(cnf,[status(esa)],[zf_stmt_1]) ).
thf(zip_derived_cl43,plain,
~ ( hBOOL @ ( hAPP @ c_Arrow__Order__Mirabelle_OProf @ ( c_COMBK @ ( tc_fun @ ( tc_prod @ tc_Arrow__Order__Mirabelle_Oalt @ tc_Arrow__Order__Mirabelle_Oalt ) @ tc_HOL_Obool ) @ tc_Arrow__Order__Mirabelle_Oindi @ v_L ) ) ),
inference('sup-',[status(thm)],[zip_derived_cl8,zip_derived_cl33]) ).
thf(zip_derived_cl92,plain,
! [X0: $i,X1: $i] :
~ ( hBOOL @ ( hAPP @ c_Arrow__Order__Mirabelle_OProf @ ( c_COMBK @ X1 @ X0 @ v_L ) ) ),
inference('sup-',[status(thm)],[zip_derived_cl70,zip_derived_cl43]) ).
thf(zip_derived_cl109,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : ( zip_tseitin_0 @ X3 @ c_Arrow__Order__Mirabelle_OProf @ X2 @ ( c_COMBK @ X1 @ X0 @ v_L ) ),
inference('sup-',[status(thm)],[zip_derived_cl39,zip_derived_cl92]) ).
thf(zip_derived_cl31_002,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( hAPP @ ( c_COMBK @ X1 @ X2 @ X0 ) @ X3 )
= X0 ),
inference(cnf,[status(esa)],[help_c__COMBK__1]) ).
thf(zip_derived_cl70_003,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( ( c_COMBK @ X2 @ X1 @ X0 )
= ( c_COMBK @ X4 @ X3 @ X0 ) ),
inference(eq_res,[status(thm)],[zip_derived_cl44]) ).
thf(fact_Prof__def,axiom,
( c_Arrow__Order__Mirabelle_OProf
= ( c_FuncSet_OPi @ tc_Arrow__Order__Mirabelle_Oindi @ ( tc_fun @ ( tc_prod @ tc_Arrow__Order__Mirabelle_Oalt @ tc_Arrow__Order__Mirabelle_Oalt ) @ tc_HOL_Obool ) @ ( c_Orderings_Otop__class_Otop @ ( tc_fun @ tc_Arrow__Order__Mirabelle_Oindi @ tc_HOL_Obool ) ) @ ( c_COMBK @ ( tc_fun @ ( tc_fun @ ( tc_prod @ tc_Arrow__Order__Mirabelle_Oalt @ tc_Arrow__Order__Mirabelle_Oalt ) @ tc_HOL_Obool ) @ tc_HOL_Obool ) @ tc_Arrow__Order__Mirabelle_Oindi @ c_Arrow__Order__Mirabelle_OLin ) ) ) ).
thf(zip_derived_cl21,plain,
( c_Arrow__Order__Mirabelle_OProf
= ( c_FuncSet_OPi @ tc_Arrow__Order__Mirabelle_Oindi @ ( tc_fun @ ( tc_prod @ tc_Arrow__Order__Mirabelle_Oalt @ tc_Arrow__Order__Mirabelle_Oalt ) @ tc_HOL_Obool ) @ ( c_Orderings_Otop__class_Otop @ ( tc_fun @ tc_Arrow__Order__Mirabelle_Oindi @ tc_HOL_Obool ) ) @ ( c_COMBK @ ( tc_fun @ ( tc_fun @ ( tc_prod @ tc_Arrow__Order__Mirabelle_Oalt @ tc_Arrow__Order__Mirabelle_Oalt ) @ tc_HOL_Obool ) @ tc_HOL_Obool ) @ tc_Arrow__Order__Mirabelle_Oindi @ c_Arrow__Order__Mirabelle_OLin ) ) ),
inference(cnf,[status(esa)],[fact_Prof__def]) ).
thf(zip_derived_cl90,plain,
! [X0: $i,X1: $i] :
( c_Arrow__Order__Mirabelle_OProf
= ( c_FuncSet_OPi @ tc_Arrow__Order__Mirabelle_Oindi @ ( tc_fun @ ( tc_prod @ tc_Arrow__Order__Mirabelle_Oalt @ tc_Arrow__Order__Mirabelle_Oalt ) @ tc_HOL_Obool ) @ ( c_Orderings_Otop__class_Otop @ ( tc_fun @ tc_Arrow__Order__Mirabelle_Oindi @ tc_HOL_Obool ) ) @ ( c_COMBK @ X1 @ X0 @ c_Arrow__Order__Mirabelle_OLin ) ) ),
inference('sup+',[status(thm)],[zip_derived_cl70,zip_derived_cl21]) ).
thf(fact_funcsetI,axiom,
! [V_B_2: $i,V_f_2: $i,T_b: $i,V_A_2: $i,T_a: $i] :
( ! [B_x: $i] :
( ( hBOOL @ ( hAPP @ ( hAPP @ ( c_member @ T_a ) @ B_x ) @ V_A_2 ) )
=> ( hBOOL @ ( hAPP @ ( hAPP @ ( c_member @ T_b ) @ ( hAPP @ V_f_2 @ B_x ) ) @ V_B_2 ) ) )
=> ( hBOOL @ ( hAPP @ ( hAPP @ ( c_member @ ( tc_fun @ T_a @ T_b ) ) @ V_f_2 ) @ ( c_FuncSet_OPi @ T_a @ T_b @ V_A_2 @ ( c_COMBK @ ( tc_fun @ T_b @ tc_HOL_Obool ) @ T_a @ V_B_2 ) ) ) ) ) ).
thf(zip_derived_cl22,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( ( hBOOL @ ( hAPP @ ( hAPP @ ( c_member @ ( tc_fun @ X0 @ X1 ) ) @ X2 ) @ ( c_FuncSet_OPi @ X0 @ X1 @ X3 @ ( c_COMBK @ ( tc_fun @ X1 @ tc_HOL_Obool ) @ X0 @ X4 ) ) ) )
| ~ ( hBOOL @ ( hAPP @ ( hAPP @ ( c_member @ X1 ) @ ( hAPP @ X2 @ ( sk__2 @ X0 @ X3 @ X1 @ X2 @ X4 ) ) ) @ X4 ) ) ),
inference(cnf,[status(esa)],[fact_funcsetI]) ).
thf(zf_stmt_2,axiom,
! [V_A_2: $i,V_B_2: $i,T_a: $i,V_c_2: $i] :
( ( ~ ( hBOOL @ ( hAPP @ ( hAPP @ ( c_member @ T_a ) @ V_c_2 ) @ V_A_2 ) )
=> ( hBOOL @ ( hAPP @ ( hAPP @ ( c_member @ T_a ) @ V_c_2 ) @ V_B_2 ) ) )
=> ( zip_tseitin_1 @ V_A_2 @ V_B_2 @ T_a @ V_c_2 ) ) ).
thf(zip_derived_cl3,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( zip_tseitin_1 @ X0 @ X1 @ X2 @ X3 )
| ~ ( hBOOL @ ( hAPP @ ( hAPP @ ( c_member @ X2 ) @ X3 ) @ X1 ) ) ),
inference(cnf,[status(esa)],[zf_stmt_2]) ).
thf(zf_stmt_3,type,
zip_tseitin_1: $i > $i > $i > $i > $o ).
thf(zf_stmt_4,type,
zip_tseitin_0: $i > $i > $i > $i > $o ).
thf(zf_stmt_5,axiom,
! [V_c_2: $i,T_a: $i,V_B_2: $i,V_A_2: $i] :
( ( V_A_2 = V_B_2 )
=> ( ( zip_tseitin_0 @ V_A_2 @ V_B_2 @ T_a @ V_c_2 )
=> ~ ( zip_tseitin_1 @ V_A_2 @ V_B_2 @ T_a @ V_c_2 ) ) ) ).
thf(zip_derived_cl5,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ ( zip_tseitin_0 @ X0 @ X1 @ X2 @ X3 )
| ~ ( zip_tseitin_1 @ X0 @ X1 @ X2 @ X3 )
| ( X0 != X1 ) ),
inference(cnf,[status(esa)],[zf_stmt_5]) ).
thf(zip_derived_cl34,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ ( zip_tseitin_1 @ X2 @ X2 @ X1 @ X0 )
| ~ ( zip_tseitin_0 @ X2 @ X2 @ X1 @ X0 ) ),
inference(eq_res,[status(thm)],[zip_derived_cl5]) ).
thf(zip_derived_cl126,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ ( hBOOL @ ( hAPP @ ( hAPP @ ( c_member @ X1 ) @ X0 ) @ X2 ) )
| ~ ( zip_tseitin_0 @ X2 @ X2 @ X1 @ X0 ) ),
inference('sup-',[status(thm)],[zip_derived_cl3,zip_derived_cl34]) ).
thf(zip_derived_cl763,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( ~ ( hBOOL @ ( hAPP @ ( hAPP @ ( c_member @ X2 ) @ ( hAPP @ X4 @ ( sk__2 @ X1 @ X3 @ X2 @ X4 @ X0 ) ) ) @ X0 ) )
| ~ ( zip_tseitin_0 @ ( c_FuncSet_OPi @ X1 @ X2 @ X3 @ ( c_COMBK @ ( tc_fun @ X2 @ tc_HOL_Obool ) @ X1 @ X0 ) ) @ ( c_FuncSet_OPi @ X1 @ X2 @ X3 @ ( c_COMBK @ ( tc_fun @ X2 @ tc_HOL_Obool ) @ X1 @ X0 ) ) @ ( tc_fun @ X1 @ X2 ) @ X4 ) ),
inference('sup-',[status(thm)],[zip_derived_cl22,zip_derived_cl126]) ).
thf(zip_derived_cl70_004,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( ( c_COMBK @ X2 @ X1 @ X0 )
= ( c_COMBK @ X4 @ X3 @ X0 ) ),
inference(eq_res,[status(thm)],[zip_derived_cl44]) ).
thf(zip_derived_cl70_005,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( ( c_COMBK @ X2 @ X1 @ X0 )
= ( c_COMBK @ X4 @ X3 @ X0 ) ),
inference(eq_res,[status(thm)],[zip_derived_cl44]) ).
thf(zip_derived_cl822,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( ~ ( hBOOL @ ( hAPP @ ( hAPP @ ( c_member @ X2 ) @ ( hAPP @ X4 @ ( sk__2 @ X1 @ X3 @ X2 @ X4 @ X0 ) ) ) @ X0 ) )
| ~ ( zip_tseitin_0 @ ( c_FuncSet_OPi @ X1 @ X2 @ X3 @ ( c_COMBK @ X2 @ X1 @ X0 ) ) @ ( c_FuncSet_OPi @ X1 @ X2 @ X3 @ ( c_COMBK @ X2 @ X1 @ X0 ) ) @ ( tc_fun @ X1 @ X2 ) @ X4 ) ),
inference(demod,[status(thm)],[zip_derived_cl763,zip_derived_cl70,zip_derived_cl70]) ).
thf(zip_derived_cl12482,plain,
! [X0: $i] :
( ~ ( zip_tseitin_0 @ ( c_FuncSet_OPi @ tc_Arrow__Order__Mirabelle_Oindi @ ( tc_fun @ ( tc_prod @ tc_Arrow__Order__Mirabelle_Oalt @ tc_Arrow__Order__Mirabelle_Oalt ) @ tc_HOL_Obool ) @ ( c_Orderings_Otop__class_Otop @ ( tc_fun @ tc_Arrow__Order__Mirabelle_Oindi @ tc_HOL_Obool ) ) @ ( c_COMBK @ ( tc_fun @ ( tc_prod @ tc_Arrow__Order__Mirabelle_Oalt @ tc_Arrow__Order__Mirabelle_Oalt ) @ tc_HOL_Obool ) @ tc_Arrow__Order__Mirabelle_Oindi @ c_Arrow__Order__Mirabelle_OLin ) ) @ c_Arrow__Order__Mirabelle_OProf @ ( tc_fun @ tc_Arrow__Order__Mirabelle_Oindi @ ( tc_fun @ ( tc_prod @ tc_Arrow__Order__Mirabelle_Oalt @ tc_Arrow__Order__Mirabelle_Oalt ) @ tc_HOL_Obool ) ) @ X0 )
| ~ ( hBOOL @ ( hAPP @ ( hAPP @ ( c_member @ ( tc_fun @ ( tc_prod @ tc_Arrow__Order__Mirabelle_Oalt @ tc_Arrow__Order__Mirabelle_Oalt ) @ tc_HOL_Obool ) ) @ ( hAPP @ X0 @ ( sk__2 @ tc_Arrow__Order__Mirabelle_Oindi @ ( c_Orderings_Otop__class_Otop @ ( tc_fun @ tc_Arrow__Order__Mirabelle_Oindi @ tc_HOL_Obool ) ) @ ( tc_fun @ ( tc_prod @ tc_Arrow__Order__Mirabelle_Oalt @ tc_Arrow__Order__Mirabelle_Oalt ) @ tc_HOL_Obool ) @ X0 @ c_Arrow__Order__Mirabelle_OLin ) ) ) @ c_Arrow__Order__Mirabelle_OLin ) ) ),
inference('sup-',[status(thm)],[zip_derived_cl90,zip_derived_cl822]) ).
thf(zip_derived_cl90_006,plain,
! [X0: $i,X1: $i] :
( c_Arrow__Order__Mirabelle_OProf
= ( c_FuncSet_OPi @ tc_Arrow__Order__Mirabelle_Oindi @ ( tc_fun @ ( tc_prod @ tc_Arrow__Order__Mirabelle_Oalt @ tc_Arrow__Order__Mirabelle_Oalt ) @ tc_HOL_Obool ) @ ( c_Orderings_Otop__class_Otop @ ( tc_fun @ tc_Arrow__Order__Mirabelle_Oindi @ tc_HOL_Obool ) ) @ ( c_COMBK @ X1 @ X0 @ c_Arrow__Order__Mirabelle_OLin ) ) ),
inference('sup+',[status(thm)],[zip_derived_cl70,zip_derived_cl21]) ).
thf(zip_derived_cl12501,plain,
! [X0: $i] :
( ~ ( zip_tseitin_0 @ c_Arrow__Order__Mirabelle_OProf @ c_Arrow__Order__Mirabelle_OProf @ ( tc_fun @ tc_Arrow__Order__Mirabelle_Oindi @ ( tc_fun @ ( tc_prod @ tc_Arrow__Order__Mirabelle_Oalt @ tc_Arrow__Order__Mirabelle_Oalt ) @ tc_HOL_Obool ) ) @ X0 )
| ~ ( hBOOL @ ( hAPP @ ( hAPP @ ( c_member @ ( tc_fun @ ( tc_prod @ tc_Arrow__Order__Mirabelle_Oalt @ tc_Arrow__Order__Mirabelle_Oalt ) @ tc_HOL_Obool ) ) @ ( hAPP @ X0 @ ( sk__2 @ tc_Arrow__Order__Mirabelle_Oindi @ ( c_Orderings_Otop__class_Otop @ ( tc_fun @ tc_Arrow__Order__Mirabelle_Oindi @ tc_HOL_Obool ) ) @ ( tc_fun @ ( tc_prod @ tc_Arrow__Order__Mirabelle_Oalt @ tc_Arrow__Order__Mirabelle_Oalt ) @ tc_HOL_Obool ) @ X0 @ c_Arrow__Order__Mirabelle_OLin ) ) ) @ c_Arrow__Order__Mirabelle_OLin ) ) ),
inference(demod,[status(thm)],[zip_derived_cl12482,zip_derived_cl90]) ).
thf(zip_derived_cl12580,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ ( hBOOL @ ( hAPP @ ( hAPP @ ( c_member @ ( tc_fun @ ( tc_prod @ tc_Arrow__Order__Mirabelle_Oalt @ tc_Arrow__Order__Mirabelle_Oalt ) @ tc_HOL_Obool ) ) @ X0 ) @ c_Arrow__Order__Mirabelle_OLin ) )
| ~ ( zip_tseitin_0 @ c_Arrow__Order__Mirabelle_OProf @ c_Arrow__Order__Mirabelle_OProf @ ( tc_fun @ tc_Arrow__Order__Mirabelle_Oindi @ ( tc_fun @ ( tc_prod @ tc_Arrow__Order__Mirabelle_Oalt @ tc_Arrow__Order__Mirabelle_Oalt ) @ tc_HOL_Obool ) ) @ ( c_COMBK @ X2 @ X1 @ X0 ) ) ),
inference('sup-',[status(thm)],[zip_derived_cl31,zip_derived_cl12501]) ).
thf(zip_derived_cl12601,plain,
~ ( hBOOL @ ( hAPP @ ( hAPP @ ( c_member @ ( tc_fun @ ( tc_prod @ tc_Arrow__Order__Mirabelle_Oalt @ tc_Arrow__Order__Mirabelle_Oalt ) @ tc_HOL_Obool ) ) @ v_L ) @ c_Arrow__Order__Mirabelle_OLin ) ),
inference('sup-',[status(thm)],[zip_derived_cl109,zip_derived_cl12580]) ).
thf(zip_derived_cl1_007,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( zip_tseitin_0 @ X0 @ X1 @ X2 @ X3 )
| ( hBOOL @ ( hAPP @ ( hAPP @ ( c_member @ X2 ) @ X3 ) @ X1 ) ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl3_008,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( zip_tseitin_1 @ X0 @ X1 @ X2 @ X3 )
| ~ ( hBOOL @ ( hAPP @ ( hAPP @ ( c_member @ X2 ) @ X3 ) @ X1 ) ) ),
inference(cnf,[status(esa)],[zf_stmt_2]) ).
thf(zip_derived_cl8_009,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( hBOOL @ ( hAPP @ ( hAPP @ ( c_member @ X0 ) @ X1 ) @ X2 ) )
| ~ ( hBOOL @ ( hAPP @ X2 @ X1 ) ) ),
inference(cnf,[status(esa)],[fact_mem__def]) ).
thf(zip_derived_cl130,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( zip_tseitin_1 @ X3 @ X0 @ X2 @ X1 )
| ~ ( hBOOL @ ( hAPP @ X0 @ X1 ) ) ),
inference('sup+',[status(thm)],[zip_derived_cl3,zip_derived_cl8]) ).
thf(zip_derived_cl39_010,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( zip_tseitin_0 @ X3 @ X0 @ X2 @ X1 )
| ( hBOOL @ ( hAPP @ X0 @ X1 ) ) ),
inference('sup-',[status(thm)],[zip_derived_cl1,zip_derived_cl7]) ).
thf(zip_derived_cl152,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( ( zip_tseitin_1 @ X5 @ X1 @ X4 @ X0 )
| ( zip_tseitin_0 @ X3 @ X1 @ X2 @ X0 ) ),
inference('sup+',[status(thm)],[zip_derived_cl130,zip_derived_cl39]) ).
thf(zip_derived_cl34_011,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ ( zip_tseitin_1 @ X2 @ X2 @ X1 @ X0 )
| ~ ( zip_tseitin_0 @ X2 @ X2 @ X1 @ X0 ) ),
inference(eq_res,[status(thm)],[zip_derived_cl5]) ).
thf(zip_derived_cl3056,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( ( zip_tseitin_0 @ X4 @ X2 @ X3 @ X0 )
| ~ ( zip_tseitin_0 @ X2 @ X2 @ X1 @ X0 ) ),
inference('sup-',[status(thm)],[zip_derived_cl152,zip_derived_cl34]) ).
thf(zip_derived_cl3091,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( ( hBOOL @ ( hAPP @ ( hAPP @ ( c_member @ X1 ) @ X0 ) @ X2 ) )
| ( zip_tseitin_0 @ X4 @ X2 @ X3 @ X0 ) ),
inference('sup-',[status(thm)],[zip_derived_cl1,zip_derived_cl3056]) ).
thf(zip_derived_cl130_012,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( zip_tseitin_1 @ X3 @ X0 @ X2 @ X1 )
| ~ ( hBOOL @ ( hAPP @ X0 @ X1 ) ) ),
inference('sup+',[status(thm)],[zip_derived_cl3,zip_derived_cl8]) ).
thf(conj_0,axiom,
hBOOL @ ( hAPP @ ( hAPP @ ( c_member @ ( tc_fun @ ( tc_prod @ tc_Arrow__Order__Mirabelle_Oalt @ tc_Arrow__Order__Mirabelle_Oalt ) @ tc_HOL_Obool ) ) @ v_L ) @ c_Arrow__Order__Mirabelle_OLin ) ).
thf(zip_derived_cl32,plain,
hBOOL @ ( hAPP @ ( hAPP @ ( c_member @ ( tc_fun @ ( tc_prod @ tc_Arrow__Order__Mirabelle_Oalt @ tc_Arrow__Order__Mirabelle_Oalt ) @ tc_HOL_Obool ) ) @ v_L ) @ c_Arrow__Order__Mirabelle_OLin ),
inference(cnf,[status(esa)],[conj_0]) ).
thf(zip_derived_cl7_013,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( hBOOL @ ( hAPP @ X0 @ X1 ) )
| ~ ( hBOOL @ ( hAPP @ ( hAPP @ ( c_member @ X2 ) @ X1 ) @ X0 ) ) ),
inference(cnf,[status(esa)],[fact_mem__def]) ).
thf(zip_derived_cl41,plain,
hBOOL @ ( hAPP @ c_Arrow__Order__Mirabelle_OLin @ v_L ),
inference('sup-',[status(thm)],[zip_derived_cl32,zip_derived_cl7]) ).
thf(zip_derived_cl158,plain,
! [X0: $i,X1: $i] : ( zip_tseitin_1 @ X1 @ c_Arrow__Order__Mirabelle_OLin @ X0 @ v_L ),
inference('sup+',[status(thm)],[zip_derived_cl130,zip_derived_cl41]) ).
thf(zip_derived_cl34_014,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ ( zip_tseitin_1 @ X2 @ X2 @ X1 @ X0 )
| ~ ( zip_tseitin_0 @ X2 @ X2 @ X1 @ X0 ) ),
inference(eq_res,[status(thm)],[zip_derived_cl5]) ).
thf(zip_derived_cl196,plain,
! [X0: $i] :
~ ( zip_tseitin_0 @ c_Arrow__Order__Mirabelle_OLin @ c_Arrow__Order__Mirabelle_OLin @ X0 @ v_L ),
inference('sup-',[status(thm)],[zip_derived_cl158,zip_derived_cl34]) ).
thf(zip_derived_cl4842,plain,
! [X1: $i] : ( hBOOL @ ( hAPP @ ( hAPP @ ( c_member @ X1 ) @ v_L ) @ c_Arrow__Order__Mirabelle_OLin ) ),
inference('sup-',[status(thm)],[zip_derived_cl3091,zip_derived_cl196]) ).
thf(zip_derived_cl12610,plain,
$false,
inference(demod,[status(thm)],[zip_derived_cl12601,zip_derived_cl4842]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.13 % Problem : SCT123+1 : TPTP v8.1.2. Released v5.2.0.
% 0.00/0.15 % Command : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.K1ElMQN2WN true
% 0.15/0.36 % Computer : n026.cluster.edu
% 0.15/0.36 % Model : x86_64 x86_64
% 0.15/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.36 % Memory : 8042.1875MB
% 0.15/0.36 % OS : Linux 3.10.0-693.el7.x86_64
% 0.15/0.36 % CPULimit : 300
% 0.15/0.36 % WCLimit : 300
% 0.15/0.36 % DateTime : Thu Aug 24 16:41:17 EDT 2023
% 0.15/0.36 % CPUTime :
% 0.15/0.36 % Running portfolio for 300 s
% 0.15/0.36 % File : /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.15/0.37 % Number of cores: 8
% 0.15/0.37 % Python version: Python 3.6.8
% 0.15/0.37 % Running in FO mode
% 0.22/0.66 % Total configuration time : 435
% 0.22/0.66 % Estimated wc time : 1092
% 0.22/0.66 % Estimated cpu time (7 cpus) : 156.0
% 0.22/0.74 % /export/starexec/sandbox/solver/bin/fo/fo6_bce.sh running for 75s
% 0.22/0.74 % /export/starexec/sandbox/solver/bin/fo/fo3_bce.sh running for 75s
% 0.22/0.78 % /export/starexec/sandbox/solver/bin/fo/fo7.sh running for 63s
% 0.22/0.78 % /export/starexec/sandbox/solver/bin/fo/fo1_av.sh running for 75s
% 0.22/0.79 % /export/starexec/sandbox/solver/bin/fo/fo5.sh running for 50s
% 0.22/0.80 % /export/starexec/sandbox/solver/bin/fo/fo4.sh running for 50s
% 0.22/0.80 % /export/starexec/sandbox/solver/bin/fo/fo13.sh running for 50s
% 36.51/5.90 % Solved by fo/fo4.sh.
% 36.51/5.90 % done 2671 iterations in 5.048s
% 36.51/5.90 % SZS status Theorem for '/export/starexec/sandbox/benchmark/theBenchmark.p'
% 36.51/5.90 % SZS output start Refutation
% See solution above
% 36.51/5.90
% 36.51/5.90
% 36.51/5.90 % Terminating...
% 36.53/6.00 % Runner terminated.
% 36.53/6.03 % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------