TSTP Solution File: SCT158+1 by Zipperpin---2.1.9999
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- Process Solution
%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : SCT158+1 : TPTP v8.1.2. Released v5.2.0.
% Transfm : NO INFORMATION
% Format : NO INFORMATION
% Command : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.NwoBh33ngb true
% Computer : n028.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 14:27:22 EDT 2023
% Result : Theorem 3.91s 1.16s
% Output : Refutation 3.91s
% Verified :
% SZS Type : Refutation
% Derivation depth : 16
% Number of leaves : 31
% Syntax : Number of formulae : 94 ( 26 unt; 21 typ; 0 def)
% Number of atoms : 155 ( 23 equ; 0 cnn)
% Maximal formula atoms : 7 ( 2 avg)
% Number of connectives : 1264 ( 48 ~; 64 |; 1 &;1134 @)
% ( 7 <=>; 10 =>; 0 <=; 0 <~>)
% Maximal formula depth : 19 ( 9 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 35 ( 35 >; 0 *; 0 +; 0 <<)
% Number of symbols : 21 ( 19 usr; 12 con; 0-5 aty)
% Number of variables : 88 ( 0 ^; 88 !; 0 ?; 88 :)
% Comments :
%------------------------------------------------------------------------------
thf(v_a_H_____type,type,
v_a_H____: $i ).
thf(tc_Arrow__Order__Mirabelle_Oindi_type,type,
tc_Arrow__Order__Mirabelle_Oindi: $i ).
thf(c_Arrow__Order__Mirabelle_OProf_type,type,
c_Arrow__Order__Mirabelle_OProf: $i ).
thf(v_P_H_____type,type,
v_P_H____: $i ).
thf(c_member_type,type,
c_member: $i > $i > $i > $o ).
thf(zip_tseitin_3_type,type,
zip_tseitin_3: $i > $i > $i > $i > $o ).
thf(tc_HOL_Obool_type,type,
tc_HOL_Obool: $i ).
thf(v_P_____type,type,
v_P____: $i ).
thf(hAPP_type,type,
hAPP: $i > $i > $i ).
thf(v_b_____type,type,
v_b____: $i ).
thf(v_a_____type,type,
v_a____: $i ).
thf(tc_prod_type,type,
tc_prod: $i > $i > $i ).
thf(zip_tseitin_2_type,type,
zip_tseitin_2: $i > $i > $i > $i > $i > $o ).
thf(tc_Arrow__Order__Mirabelle_Oalt_type,type,
tc_Arrow__Order__Mirabelle_Oalt: $i ).
thf(c_Product__Type_OPair_type,type,
c_Product__Type_OPair: $i > $i > $i > $i > $i ).
thf(v_b_H_____type,type,
v_b_H____: $i ).
thf(tc_fun_type,type,
tc_fun: $i > $i > $i ).
thf(sk__1_type,type,
sk__1: $i > $i > $i > $i > $i ).
thf(v_F_type,type,
v_F: $i ).
thf(fact_A_I5_J,axiom,
! [B_i: $i] :
( ( c_member @ ( tc_prod @ tc_Arrow__Order__Mirabelle_Oalt @ tc_Arrow__Order__Mirabelle_Oalt ) @ ( c_Product__Type_OPair @ tc_Arrow__Order__Mirabelle_Oalt @ tc_Arrow__Order__Mirabelle_Oalt @ v_a____ @ v_b____ ) @ ( hAPP @ v_P____ @ B_i ) )
<=> ( c_member @ ( tc_prod @ tc_Arrow__Order__Mirabelle_Oalt @ tc_Arrow__Order__Mirabelle_Oalt ) @ ( c_Product__Type_OPair @ tc_Arrow__Order__Mirabelle_Oalt @ tc_Arrow__Order__Mirabelle_Oalt @ v_a_H____ @ v_b_H____ ) @ ( hAPP @ v_P_H____ @ B_i ) ) ) ).
thf(zip_derived_cl5,plain,
! [X0: $i] :
( ( c_member @ ( tc_prod @ tc_Arrow__Order__Mirabelle_Oalt @ tc_Arrow__Order__Mirabelle_Oalt ) @ ( c_Product__Type_OPair @ tc_Arrow__Order__Mirabelle_Oalt @ tc_Arrow__Order__Mirabelle_Oalt @ v_a_H____ @ v_b_H____ ) @ ( hAPP @ v_P_H____ @ X0 ) )
| ~ ( c_member @ ( tc_prod @ tc_Arrow__Order__Mirabelle_Oalt @ tc_Arrow__Order__Mirabelle_Oalt ) @ ( c_Product__Type_OPair @ tc_Arrow__Order__Mirabelle_Oalt @ tc_Arrow__Order__Mirabelle_Oalt @ v_a____ @ v_b____ ) @ ( hAPP @ v_P____ @ X0 ) ) ),
inference(cnf,[status(esa)],[fact_A_I5_J]) ).
thf(fact__096a_A_061_Ab_H_A_G_Ab_A_061_Aa_H_096,axiom,
( ( v_b____ = v_a_H____ )
& ( v_a____ = v_b_H____ ) ) ).
thf(zip_derived_cl4,plain,
v_a____ = v_b_H____,
inference(cnf,[status(esa)],[fact__096a_A_061_Ab_H_A_G_Ab_A_061_Aa_H_096]) ).
thf(zip_derived_cl3,plain,
v_b____ = v_a_H____,
inference(cnf,[status(esa)],[fact__096a_A_061_Ab_H_A_G_Ab_A_061_Aa_H_096]) ).
thf(zip_derived_cl57,plain,
! [X0: $i] :
( ( c_member @ ( tc_prod @ tc_Arrow__Order__Mirabelle_Oalt @ tc_Arrow__Order__Mirabelle_Oalt ) @ ( c_Product__Type_OPair @ tc_Arrow__Order__Mirabelle_Oalt @ tc_Arrow__Order__Mirabelle_Oalt @ v_a_H____ @ v_b_H____ ) @ ( hAPP @ v_P_H____ @ X0 ) )
| ~ ( c_member @ ( tc_prod @ tc_Arrow__Order__Mirabelle_Oalt @ tc_Arrow__Order__Mirabelle_Oalt ) @ ( c_Product__Type_OPair @ tc_Arrow__Order__Mirabelle_Oalt @ tc_Arrow__Order__Mirabelle_Oalt @ v_b_H____ @ v_a_H____ ) @ ( hAPP @ v_P____ @ X0 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl5,zip_derived_cl4,zip_derived_cl3]) ).
thf(fact__C3_C,axiom,
! [V_P_Ha_2: $i,V_Pa_2: $i,V_ba_2: $i,V_aa_2: $i] :
( ( V_aa_2 != V_ba_2 )
=> ( ( 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 ) ) @ V_Pa_2 @ c_Arrow__Order__Mirabelle_OProf )
=> ( ( 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 ) ) @ V_P_Ha_2 @ c_Arrow__Order__Mirabelle_OProf )
=> ( ! [B_i: $i] :
( ( c_member @ ( tc_prod @ tc_Arrow__Order__Mirabelle_Oalt @ tc_Arrow__Order__Mirabelle_Oalt ) @ ( c_Product__Type_OPair @ tc_Arrow__Order__Mirabelle_Oalt @ tc_Arrow__Order__Mirabelle_Oalt @ V_aa_2 @ V_ba_2 ) @ ( hAPP @ V_Pa_2 @ B_i ) )
<=> ( c_member @ ( tc_prod @ tc_Arrow__Order__Mirabelle_Oalt @ tc_Arrow__Order__Mirabelle_Oalt ) @ ( c_Product__Type_OPair @ tc_Arrow__Order__Mirabelle_Oalt @ tc_Arrow__Order__Mirabelle_Oalt @ V_ba_2 @ V_aa_2 ) @ ( hAPP @ V_P_Ha_2 @ B_i ) ) )
=> ( ( c_member @ ( tc_prod @ tc_Arrow__Order__Mirabelle_Oalt @ tc_Arrow__Order__Mirabelle_Oalt ) @ ( c_Product__Type_OPair @ tc_Arrow__Order__Mirabelle_Oalt @ tc_Arrow__Order__Mirabelle_Oalt @ V_aa_2 @ V_ba_2 ) @ ( hAPP @ v_F @ V_Pa_2 ) )
<=> ( c_member @ ( tc_prod @ tc_Arrow__Order__Mirabelle_Oalt @ tc_Arrow__Order__Mirabelle_Oalt ) @ ( c_Product__Type_OPair @ tc_Arrow__Order__Mirabelle_Oalt @ tc_Arrow__Order__Mirabelle_Oalt @ V_ba_2 @ V_aa_2 ) @ ( hAPP @ v_F @ V_P_Ha_2 ) ) ) ) ) ) ) ).
thf(zf_stmt_0,axiom,
! [B_i: $i,V_aa_2: $i,V_ba_2: $i,V_Pa_2: $i,V_P_Ha_2: $i] :
( ( ( c_member @ ( tc_prod @ tc_Arrow__Order__Mirabelle_Oalt @ tc_Arrow__Order__Mirabelle_Oalt ) @ ( c_Product__Type_OPair @ tc_Arrow__Order__Mirabelle_Oalt @ tc_Arrow__Order__Mirabelle_Oalt @ V_aa_2 @ V_ba_2 ) @ ( hAPP @ V_Pa_2 @ B_i ) )
<=> ( c_member @ ( tc_prod @ tc_Arrow__Order__Mirabelle_Oalt @ tc_Arrow__Order__Mirabelle_Oalt ) @ ( c_Product__Type_OPair @ tc_Arrow__Order__Mirabelle_Oalt @ tc_Arrow__Order__Mirabelle_Oalt @ V_ba_2 @ V_aa_2 ) @ ( hAPP @ V_P_Ha_2 @ B_i ) ) )
=> ( zip_tseitin_2 @ B_i @ V_aa_2 @ V_ba_2 @ V_Pa_2 @ V_P_Ha_2 ) ) ).
thf(zip_derived_cl20,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( ( zip_tseitin_2 @ X0 @ X1 @ X2 @ X3 @ X4 )
| ~ ( c_member @ ( tc_prod @ tc_Arrow__Order__Mirabelle_Oalt @ tc_Arrow__Order__Mirabelle_Oalt ) @ ( c_Product__Type_OPair @ tc_Arrow__Order__Mirabelle_Oalt @ tc_Arrow__Order__Mirabelle_Oalt @ X2 @ X1 ) @ ( hAPP @ X4 @ X0 ) )
| ~ ( c_member @ ( tc_prod @ tc_Arrow__Order__Mirabelle_Oalt @ tc_Arrow__Order__Mirabelle_Oalt ) @ ( c_Product__Type_OPair @ tc_Arrow__Order__Mirabelle_Oalt @ tc_Arrow__Order__Mirabelle_Oalt @ X1 @ X2 ) @ ( hAPP @ X3 @ X0 ) ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl6,plain,
! [X0: $i] :
( ( c_member @ ( tc_prod @ tc_Arrow__Order__Mirabelle_Oalt @ tc_Arrow__Order__Mirabelle_Oalt ) @ ( c_Product__Type_OPair @ tc_Arrow__Order__Mirabelle_Oalt @ tc_Arrow__Order__Mirabelle_Oalt @ v_a____ @ v_b____ ) @ ( hAPP @ v_P____ @ X0 ) )
| ~ ( c_member @ ( tc_prod @ tc_Arrow__Order__Mirabelle_Oalt @ tc_Arrow__Order__Mirabelle_Oalt ) @ ( c_Product__Type_OPair @ tc_Arrow__Order__Mirabelle_Oalt @ tc_Arrow__Order__Mirabelle_Oalt @ v_a_H____ @ v_b_H____ ) @ ( hAPP @ v_P_H____ @ X0 ) ) ),
inference(cnf,[status(esa)],[fact_A_I5_J]) ).
thf(zip_derived_cl4_001,plain,
v_a____ = v_b_H____,
inference(cnf,[status(esa)],[fact__096a_A_061_Ab_H_A_G_Ab_A_061_Aa_H_096]) ).
thf(zip_derived_cl3_002,plain,
v_b____ = v_a_H____,
inference(cnf,[status(esa)],[fact__096a_A_061_Ab_H_A_G_Ab_A_061_Aa_H_096]) ).
thf(zip_derived_cl71,plain,
! [X0: $i] :
( ( c_member @ ( tc_prod @ tc_Arrow__Order__Mirabelle_Oalt @ tc_Arrow__Order__Mirabelle_Oalt ) @ ( c_Product__Type_OPair @ tc_Arrow__Order__Mirabelle_Oalt @ tc_Arrow__Order__Mirabelle_Oalt @ v_b_H____ @ v_a_H____ ) @ ( hAPP @ v_P____ @ X0 ) )
| ~ ( c_member @ ( tc_prod @ tc_Arrow__Order__Mirabelle_Oalt @ tc_Arrow__Order__Mirabelle_Oalt ) @ ( c_Product__Type_OPair @ tc_Arrow__Order__Mirabelle_Oalt @ tc_Arrow__Order__Mirabelle_Oalt @ v_a_H____ @ v_b_H____ ) @ ( hAPP @ v_P_H____ @ X0 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl6,zip_derived_cl4,zip_derived_cl3]) ).
thf(zip_derived_cl98,plain,
! [X0: $i,X1: $i] :
( ~ ( c_member @ ( tc_prod @ tc_Arrow__Order__Mirabelle_Oalt @ tc_Arrow__Order__Mirabelle_Oalt ) @ ( c_Product__Type_OPair @ tc_Arrow__Order__Mirabelle_Oalt @ tc_Arrow__Order__Mirabelle_Oalt @ v_a_H____ @ v_b_H____ ) @ ( hAPP @ X1 @ X0 ) )
| ( zip_tseitin_2 @ X0 @ v_a_H____ @ v_b_H____ @ X1 @ v_P____ )
| ~ ( c_member @ ( tc_prod @ tc_Arrow__Order__Mirabelle_Oalt @ tc_Arrow__Order__Mirabelle_Oalt ) @ ( c_Product__Type_OPair @ tc_Arrow__Order__Mirabelle_Oalt @ tc_Arrow__Order__Mirabelle_Oalt @ v_a_H____ @ v_b_H____ ) @ ( hAPP @ v_P_H____ @ X0 ) ) ),
inference('sup+',[status(thm)],[zip_derived_cl20,zip_derived_cl71]) ).
thf(zip_derived_cl202,plain,
! [X0: $i] :
( ~ ( c_member @ ( tc_prod @ tc_Arrow__Order__Mirabelle_Oalt @ tc_Arrow__Order__Mirabelle_Oalt ) @ ( c_Product__Type_OPair @ tc_Arrow__Order__Mirabelle_Oalt @ tc_Arrow__Order__Mirabelle_Oalt @ v_a_H____ @ v_b_H____ ) @ ( hAPP @ v_P_H____ @ X0 ) )
| ( zip_tseitin_2 @ X0 @ v_a_H____ @ v_b_H____ @ v_P_H____ @ v_P____ ) ),
inference(eq_fact,[status(thm)],[zip_derived_cl98]) ).
thf(zip_derived_cl21,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( ( zip_tseitin_2 @ X0 @ X1 @ X2 @ X3 @ X4 )
| ( c_member @ ( tc_prod @ tc_Arrow__Order__Mirabelle_Oalt @ tc_Arrow__Order__Mirabelle_Oalt ) @ ( c_Product__Type_OPair @ tc_Arrow__Order__Mirabelle_Oalt @ tc_Arrow__Order__Mirabelle_Oalt @ X2 @ X1 ) @ ( hAPP @ X4 @ X0 ) )
| ( c_member @ ( tc_prod @ tc_Arrow__Order__Mirabelle_Oalt @ tc_Arrow__Order__Mirabelle_Oalt ) @ ( c_Product__Type_OPair @ tc_Arrow__Order__Mirabelle_Oalt @ tc_Arrow__Order__Mirabelle_Oalt @ X1 @ X2 ) @ ( hAPP @ X3 @ X0 ) ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl205,plain,
! [X0: $i,X1: $i] :
( ( zip_tseitin_2 @ X0 @ v_a_H____ @ v_b_H____ @ v_P_H____ @ v_P____ )
| ( c_member @ ( tc_prod @ tc_Arrow__Order__Mirabelle_Oalt @ tc_Arrow__Order__Mirabelle_Oalt ) @ ( c_Product__Type_OPair @ tc_Arrow__Order__Mirabelle_Oalt @ tc_Arrow__Order__Mirabelle_Oalt @ v_b_H____ @ v_a_H____ ) @ ( hAPP @ X1 @ X0 ) )
| ( zip_tseitin_2 @ X0 @ v_a_H____ @ v_b_H____ @ v_P_H____ @ X1 ) ),
inference('sup+',[status(thm)],[zip_derived_cl202,zip_derived_cl21]) ).
thf(zip_derived_cl981,plain,
! [X0: $i] :
( ( c_member @ ( tc_prod @ tc_Arrow__Order__Mirabelle_Oalt @ tc_Arrow__Order__Mirabelle_Oalt ) @ ( c_Product__Type_OPair @ tc_Arrow__Order__Mirabelle_Oalt @ tc_Arrow__Order__Mirabelle_Oalt @ v_a_H____ @ v_b_H____ ) @ ( hAPP @ v_P_H____ @ X0 ) )
| ( zip_tseitin_2 @ X0 @ v_a_H____ @ v_b_H____ @ v_P_H____ @ v_P____ )
| ( zip_tseitin_2 @ X0 @ v_a_H____ @ v_b_H____ @ v_P_H____ @ v_P____ ) ),
inference('sup+',[status(thm)],[zip_derived_cl57,zip_derived_cl205]) ).
thf(zip_derived_cl985,plain,
! [X0: $i] :
( ( zip_tseitin_2 @ X0 @ v_a_H____ @ v_b_H____ @ v_P_H____ @ v_P____ )
| ( c_member @ ( tc_prod @ tc_Arrow__Order__Mirabelle_Oalt @ tc_Arrow__Order__Mirabelle_Oalt ) @ ( c_Product__Type_OPair @ tc_Arrow__Order__Mirabelle_Oalt @ tc_Arrow__Order__Mirabelle_Oalt @ v_a_H____ @ v_b_H____ ) @ ( hAPP @ v_P_H____ @ X0 ) ) ),
inference(simplify,[status(thm)],[zip_derived_cl981]) ).
thf(zip_derived_cl202_003,plain,
! [X0: $i] :
( ~ ( c_member @ ( tc_prod @ tc_Arrow__Order__Mirabelle_Oalt @ tc_Arrow__Order__Mirabelle_Oalt ) @ ( c_Product__Type_OPair @ tc_Arrow__Order__Mirabelle_Oalt @ tc_Arrow__Order__Mirabelle_Oalt @ v_a_H____ @ v_b_H____ ) @ ( hAPP @ v_P_H____ @ X0 ) )
| ( zip_tseitin_2 @ X0 @ v_a_H____ @ v_b_H____ @ v_P_H____ @ v_P____ ) ),
inference(eq_fact,[status(thm)],[zip_derived_cl98]) ).
thf(zip_derived_cl989,plain,
! [X0: $i] : ( zip_tseitin_2 @ X0 @ v_a_H____ @ v_b_H____ @ v_P_H____ @ v_P____ ),
inference(clc,[status(thm)],[zip_derived_cl985,zip_derived_cl202]) ).
thf(fact_A_I4_J,axiom,
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 ) ) @ v_P_H____ @ c_Arrow__Order__Mirabelle_OProf ).
thf(zip_derived_cl14,plain,
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 ) ) @ v_P_H____ @ c_Arrow__Order__Mirabelle_OProf,
inference(cnf,[status(esa)],[fact_A_I4_J]) ).
thf(zf_stmt_1,type,
zip_tseitin_3: $i > $i > $i > $i > $o ).
thf(zf_stmt_2,axiom,
! [V_aa_2: $i,V_ba_2: $i,V_Pa_2: $i,V_P_Ha_2: $i] :
( ( zip_tseitin_3 @ V_aa_2 @ V_ba_2 @ V_Pa_2 @ V_P_Ha_2 )
=> ( ( c_member @ ( tc_prod @ tc_Arrow__Order__Mirabelle_Oalt @ tc_Arrow__Order__Mirabelle_Oalt ) @ ( c_Product__Type_OPair @ tc_Arrow__Order__Mirabelle_Oalt @ tc_Arrow__Order__Mirabelle_Oalt @ V_aa_2 @ V_ba_2 ) @ ( hAPP @ v_F @ V_Pa_2 ) )
<=> ( c_member @ ( tc_prod @ tc_Arrow__Order__Mirabelle_Oalt @ tc_Arrow__Order__Mirabelle_Oalt ) @ ( c_Product__Type_OPair @ tc_Arrow__Order__Mirabelle_Oalt @ tc_Arrow__Order__Mirabelle_Oalt @ V_ba_2 @ V_aa_2 ) @ ( hAPP @ v_F @ V_P_Ha_2 ) ) ) ) ).
thf(zf_stmt_3,type,
zip_tseitin_2: $i > $i > $i > $i > $i > $o ).
thf(zf_stmt_4,axiom,
! [V_P_Ha_2: $i,V_Pa_2: $i,V_ba_2: $i,V_aa_2: $i] :
( ( V_aa_2 != V_ba_2 )
=> ( ( 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 ) ) @ V_Pa_2 @ c_Arrow__Order__Mirabelle_OProf )
=> ( ( 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 ) ) @ V_P_Ha_2 @ c_Arrow__Order__Mirabelle_OProf )
=> ( ! [B_i: $i] : ( zip_tseitin_2 @ B_i @ V_aa_2 @ V_ba_2 @ V_Pa_2 @ V_P_Ha_2 )
=> ( zip_tseitin_3 @ V_aa_2 @ V_ba_2 @ V_Pa_2 @ V_P_Ha_2 ) ) ) ) ) ).
thf(zip_derived_cl24,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ ( 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 ) ) @ X0 @ c_Arrow__Order__Mirabelle_OProf )
| ~ ( 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 ) ) @ X1 @ c_Arrow__Order__Mirabelle_OProf )
| ( X3 = X2 )
| ( zip_tseitin_3 @ X3 @ X2 @ X0 @ X1 )
| ~ ( zip_tseitin_2 @ ( sk__1 @ X3 @ X2 @ X0 @ X1 ) @ X3 @ X2 @ X0 @ X1 ) ),
inference(cnf,[status(esa)],[zf_stmt_4]) ).
thf(zip_derived_cl96,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ ( zip_tseitin_2 @ ( sk__1 @ X2 @ X1 @ v_P_H____ @ X0 ) @ X2 @ X1 @ v_P_H____ @ X0 )
| ( zip_tseitin_3 @ X2 @ X1 @ v_P_H____ @ X0 )
| ( X2 = X1 )
| ~ ( 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 ) ) @ X0 @ c_Arrow__Order__Mirabelle_OProf ) ),
inference('sup-',[status(thm)],[zip_derived_cl14,zip_derived_cl24]) ).
thf(zip_derived_cl990,plain,
( ~ ( 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 ) ) @ v_P____ @ c_Arrow__Order__Mirabelle_OProf )
| ( v_a_H____ = v_b_H____ )
| ( zip_tseitin_3 @ v_a_H____ @ v_b_H____ @ v_P_H____ @ v_P____ ) ),
inference('sup-',[status(thm)],[zip_derived_cl989,zip_derived_cl96]) ).
thf(fact_A_I3_J,axiom,
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 ) ) @ v_P____ @ c_Arrow__Order__Mirabelle_OProf ).
thf(zip_derived_cl13,plain,
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 ) ) @ v_P____ @ c_Arrow__Order__Mirabelle_OProf,
inference(cnf,[status(esa)],[fact_A_I3_J]) ).
thf(zip_derived_cl991,plain,
( ( v_a_H____ = v_b_H____ )
| ( zip_tseitin_3 @ v_a_H____ @ v_b_H____ @ v_P_H____ @ v_P____ ) ),
inference(demod,[status(thm)],[zip_derived_cl990,zip_derived_cl13]) ).
thf(fact_A_I2_J,axiom,
v_a_H____ != v_b_H____ ).
thf(zip_derived_cl2,plain,
v_a_H____ != v_b_H____,
inference(cnf,[status(esa)],[fact_A_I2_J]) ).
thf(zip_derived_cl992,plain,
zip_tseitin_3 @ v_a_H____ @ v_b_H____ @ v_P_H____ @ v_P____,
inference('simplify_reflect-',[status(thm)],[zip_derived_cl991,zip_derived_cl2]) ).
thf(conj_0,conjecture,
( ( c_member @ ( tc_prod @ tc_Arrow__Order__Mirabelle_Oalt @ tc_Arrow__Order__Mirabelle_Oalt ) @ ( c_Product__Type_OPair @ tc_Arrow__Order__Mirabelle_Oalt @ tc_Arrow__Order__Mirabelle_Oalt @ v_a____ @ v_b____ ) @ ( hAPP @ v_F @ v_P____ ) )
<=> ( c_member @ ( tc_prod @ tc_Arrow__Order__Mirabelle_Oalt @ tc_Arrow__Order__Mirabelle_Oalt ) @ ( c_Product__Type_OPair @ tc_Arrow__Order__Mirabelle_Oalt @ tc_Arrow__Order__Mirabelle_Oalt @ v_a_H____ @ v_b_H____ ) @ ( hAPP @ v_F @ v_P_H____ ) ) ) ).
thf(zf_stmt_5,negated_conjecture,
~ ( ( c_member @ ( tc_prod @ tc_Arrow__Order__Mirabelle_Oalt @ tc_Arrow__Order__Mirabelle_Oalt ) @ ( c_Product__Type_OPair @ tc_Arrow__Order__Mirabelle_Oalt @ tc_Arrow__Order__Mirabelle_Oalt @ v_a____ @ v_b____ ) @ ( hAPP @ v_F @ v_P____ ) )
<=> ( c_member @ ( tc_prod @ tc_Arrow__Order__Mirabelle_Oalt @ tc_Arrow__Order__Mirabelle_Oalt ) @ ( c_Product__Type_OPair @ tc_Arrow__Order__Mirabelle_Oalt @ tc_Arrow__Order__Mirabelle_Oalt @ v_a_H____ @ v_b_H____ ) @ ( hAPP @ v_F @ v_P_H____ ) ) ),
inference('cnf.neg',[status(esa)],[conj_0]) ).
thf(zip_derived_cl47,plain,
( ( c_member @ ( tc_prod @ tc_Arrow__Order__Mirabelle_Oalt @ tc_Arrow__Order__Mirabelle_Oalt ) @ ( c_Product__Type_OPair @ tc_Arrow__Order__Mirabelle_Oalt @ tc_Arrow__Order__Mirabelle_Oalt @ v_a_H____ @ v_b_H____ ) @ ( hAPP @ v_F @ v_P_H____ ) )
| ( c_member @ ( tc_prod @ tc_Arrow__Order__Mirabelle_Oalt @ tc_Arrow__Order__Mirabelle_Oalt ) @ ( c_Product__Type_OPair @ tc_Arrow__Order__Mirabelle_Oalt @ tc_Arrow__Order__Mirabelle_Oalt @ v_a____ @ v_b____ ) @ ( hAPP @ v_F @ v_P____ ) ) ),
inference(cnf,[status(esa)],[zf_stmt_5]) ).
thf(zip_derived_cl4_004,plain,
v_a____ = v_b_H____,
inference(cnf,[status(esa)],[fact__096a_A_061_Ab_H_A_G_Ab_A_061_Aa_H_096]) ).
thf(zip_derived_cl3_005,plain,
v_b____ = v_a_H____,
inference(cnf,[status(esa)],[fact__096a_A_061_Ab_H_A_G_Ab_A_061_Aa_H_096]) ).
thf(zip_derived_cl82,plain,
( ( c_member @ ( tc_prod @ tc_Arrow__Order__Mirabelle_Oalt @ tc_Arrow__Order__Mirabelle_Oalt ) @ ( c_Product__Type_OPair @ tc_Arrow__Order__Mirabelle_Oalt @ tc_Arrow__Order__Mirabelle_Oalt @ v_a_H____ @ v_b_H____ ) @ ( hAPP @ v_F @ v_P_H____ ) )
| ( c_member @ ( tc_prod @ tc_Arrow__Order__Mirabelle_Oalt @ tc_Arrow__Order__Mirabelle_Oalt ) @ ( c_Product__Type_OPair @ tc_Arrow__Order__Mirabelle_Oalt @ tc_Arrow__Order__Mirabelle_Oalt @ v_b_H____ @ v_a_H____ ) @ ( hAPP @ v_F @ v_P____ ) ) ),
inference(demod,[status(thm)],[zip_derived_cl47,zip_derived_cl4,zip_derived_cl3]) ).
thf(zip_derived_cl22,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ ( c_member @ ( tc_prod @ tc_Arrow__Order__Mirabelle_Oalt @ tc_Arrow__Order__Mirabelle_Oalt ) @ ( c_Product__Type_OPair @ tc_Arrow__Order__Mirabelle_Oalt @ tc_Arrow__Order__Mirabelle_Oalt @ X0 @ X1 ) @ ( hAPP @ v_F @ X2 ) )
| ( c_member @ ( tc_prod @ tc_Arrow__Order__Mirabelle_Oalt @ tc_Arrow__Order__Mirabelle_Oalt ) @ ( c_Product__Type_OPair @ tc_Arrow__Order__Mirabelle_Oalt @ tc_Arrow__Order__Mirabelle_Oalt @ X1 @ X0 ) @ ( hAPP @ v_F @ X3 ) )
| ~ ( zip_tseitin_3 @ X1 @ X0 @ X3 @ X2 ) ),
inference(cnf,[status(esa)],[zf_stmt_2]) ).
thf(zip_derived_cl83,plain,
! [X0: $i] :
( ( c_member @ ( tc_prod @ tc_Arrow__Order__Mirabelle_Oalt @ tc_Arrow__Order__Mirabelle_Oalt ) @ ( c_Product__Type_OPair @ tc_Arrow__Order__Mirabelle_Oalt @ tc_Arrow__Order__Mirabelle_Oalt @ v_a_H____ @ v_b_H____ ) @ ( hAPP @ v_F @ v_P_H____ ) )
| ~ ( zip_tseitin_3 @ v_a_H____ @ v_b_H____ @ X0 @ v_P____ )
| ( c_member @ ( tc_prod @ tc_Arrow__Order__Mirabelle_Oalt @ tc_Arrow__Order__Mirabelle_Oalt ) @ ( c_Product__Type_OPair @ tc_Arrow__Order__Mirabelle_Oalt @ tc_Arrow__Order__Mirabelle_Oalt @ v_a_H____ @ v_b_H____ ) @ ( hAPP @ v_F @ X0 ) ) ),
inference('sup-',[status(thm)],[zip_derived_cl82,zip_derived_cl22]) ).
thf(zip_derived_cl993,plain,
( ( c_member @ ( tc_prod @ tc_Arrow__Order__Mirabelle_Oalt @ tc_Arrow__Order__Mirabelle_Oalt ) @ ( c_Product__Type_OPair @ tc_Arrow__Order__Mirabelle_Oalt @ tc_Arrow__Order__Mirabelle_Oalt @ v_a_H____ @ v_b_H____ ) @ ( hAPP @ v_F @ v_P_H____ ) )
| ( c_member @ ( tc_prod @ tc_Arrow__Order__Mirabelle_Oalt @ tc_Arrow__Order__Mirabelle_Oalt ) @ ( c_Product__Type_OPair @ tc_Arrow__Order__Mirabelle_Oalt @ tc_Arrow__Order__Mirabelle_Oalt @ v_a_H____ @ v_b_H____ ) @ ( hAPP @ v_F @ v_P_H____ ) ) ),
inference('sup-',[status(thm)],[zip_derived_cl992,zip_derived_cl83]) ).
thf(zip_derived_cl995,plain,
c_member @ ( tc_prod @ tc_Arrow__Order__Mirabelle_Oalt @ tc_Arrow__Order__Mirabelle_Oalt ) @ ( c_Product__Type_OPair @ tc_Arrow__Order__Mirabelle_Oalt @ tc_Arrow__Order__Mirabelle_Oalt @ v_a_H____ @ v_b_H____ ) @ ( hAPP @ v_F @ v_P_H____ ),
inference(simplify,[status(thm)],[zip_derived_cl993]) ).
thf(zip_derived_cl22_006,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ ( c_member @ ( tc_prod @ tc_Arrow__Order__Mirabelle_Oalt @ tc_Arrow__Order__Mirabelle_Oalt ) @ ( c_Product__Type_OPair @ tc_Arrow__Order__Mirabelle_Oalt @ tc_Arrow__Order__Mirabelle_Oalt @ X0 @ X1 ) @ ( hAPP @ v_F @ X2 ) )
| ( c_member @ ( tc_prod @ tc_Arrow__Order__Mirabelle_Oalt @ tc_Arrow__Order__Mirabelle_Oalt ) @ ( c_Product__Type_OPair @ tc_Arrow__Order__Mirabelle_Oalt @ tc_Arrow__Order__Mirabelle_Oalt @ X1 @ X0 ) @ ( hAPP @ v_F @ X3 ) )
| ~ ( zip_tseitin_3 @ X1 @ X0 @ X3 @ X2 ) ),
inference(cnf,[status(esa)],[zf_stmt_2]) ).
thf(zip_derived_cl1013,plain,
! [X0: $i] :
( ~ ( zip_tseitin_3 @ v_b_H____ @ v_a_H____ @ X0 @ v_P_H____ )
| ( c_member @ ( tc_prod @ tc_Arrow__Order__Mirabelle_Oalt @ tc_Arrow__Order__Mirabelle_Oalt ) @ ( c_Product__Type_OPair @ tc_Arrow__Order__Mirabelle_Oalt @ tc_Arrow__Order__Mirabelle_Oalt @ v_b_H____ @ v_a_H____ ) @ ( hAPP @ v_F @ X0 ) ) ),
inference('sup-',[status(thm)],[zip_derived_cl995,zip_derived_cl22]) ).
thf(zip_derived_cl48,plain,
( ~ ( c_member @ ( tc_prod @ tc_Arrow__Order__Mirabelle_Oalt @ tc_Arrow__Order__Mirabelle_Oalt ) @ ( c_Product__Type_OPair @ tc_Arrow__Order__Mirabelle_Oalt @ tc_Arrow__Order__Mirabelle_Oalt @ v_a_H____ @ v_b_H____ ) @ ( hAPP @ v_F @ v_P_H____ ) )
| ~ ( c_member @ ( tc_prod @ tc_Arrow__Order__Mirabelle_Oalt @ tc_Arrow__Order__Mirabelle_Oalt ) @ ( c_Product__Type_OPair @ tc_Arrow__Order__Mirabelle_Oalt @ tc_Arrow__Order__Mirabelle_Oalt @ v_a____ @ v_b____ ) @ ( hAPP @ v_F @ v_P____ ) ) ),
inference(cnf,[status(esa)],[zf_stmt_5]) ).
thf(zip_derived_cl4_007,plain,
v_a____ = v_b_H____,
inference(cnf,[status(esa)],[fact__096a_A_061_Ab_H_A_G_Ab_A_061_Aa_H_096]) ).
thf(zip_derived_cl3_008,plain,
v_b____ = v_a_H____,
inference(cnf,[status(esa)],[fact__096a_A_061_Ab_H_A_G_Ab_A_061_Aa_H_096]) ).
thf(zip_derived_cl58,plain,
( ~ ( c_member @ ( tc_prod @ tc_Arrow__Order__Mirabelle_Oalt @ tc_Arrow__Order__Mirabelle_Oalt ) @ ( c_Product__Type_OPair @ tc_Arrow__Order__Mirabelle_Oalt @ tc_Arrow__Order__Mirabelle_Oalt @ v_a_H____ @ v_b_H____ ) @ ( hAPP @ v_F @ v_P_H____ ) )
| ~ ( c_member @ ( tc_prod @ tc_Arrow__Order__Mirabelle_Oalt @ tc_Arrow__Order__Mirabelle_Oalt ) @ ( c_Product__Type_OPair @ tc_Arrow__Order__Mirabelle_Oalt @ tc_Arrow__Order__Mirabelle_Oalt @ v_b_H____ @ v_a_H____ ) @ ( hAPP @ v_F @ v_P____ ) ) ),
inference(demod,[status(thm)],[zip_derived_cl48,zip_derived_cl4,zip_derived_cl3]) ).
thf(zip_derived_cl995_009,plain,
c_member @ ( tc_prod @ tc_Arrow__Order__Mirabelle_Oalt @ tc_Arrow__Order__Mirabelle_Oalt ) @ ( c_Product__Type_OPair @ tc_Arrow__Order__Mirabelle_Oalt @ tc_Arrow__Order__Mirabelle_Oalt @ v_a_H____ @ v_b_H____ ) @ ( hAPP @ v_F @ v_P_H____ ),
inference(simplify,[status(thm)],[zip_derived_cl993]) ).
thf(zip_derived_cl1010,plain,
~ ( c_member @ ( tc_prod @ tc_Arrow__Order__Mirabelle_Oalt @ tc_Arrow__Order__Mirabelle_Oalt ) @ ( c_Product__Type_OPair @ tc_Arrow__Order__Mirabelle_Oalt @ tc_Arrow__Order__Mirabelle_Oalt @ v_b_H____ @ v_a_H____ ) @ ( hAPP @ v_F @ v_P____ ) ),
inference(demod,[status(thm)],[zip_derived_cl58,zip_derived_cl995]) ).
thf(zip_derived_cl1523,plain,
~ ( zip_tseitin_3 @ v_b_H____ @ v_a_H____ @ v_P____ @ v_P_H____ ),
inference('sup-',[status(thm)],[zip_derived_cl1013,zip_derived_cl1010]) ).
thf(zip_derived_cl57_010,plain,
! [X0: $i] :
( ( c_member @ ( tc_prod @ tc_Arrow__Order__Mirabelle_Oalt @ tc_Arrow__Order__Mirabelle_Oalt ) @ ( c_Product__Type_OPair @ tc_Arrow__Order__Mirabelle_Oalt @ tc_Arrow__Order__Mirabelle_Oalt @ v_a_H____ @ v_b_H____ ) @ ( hAPP @ v_P_H____ @ X0 ) )
| ~ ( c_member @ ( tc_prod @ tc_Arrow__Order__Mirabelle_Oalt @ tc_Arrow__Order__Mirabelle_Oalt ) @ ( c_Product__Type_OPair @ tc_Arrow__Order__Mirabelle_Oalt @ tc_Arrow__Order__Mirabelle_Oalt @ v_b_H____ @ v_a_H____ ) @ ( hAPP @ v_P____ @ X0 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl5,zip_derived_cl4,zip_derived_cl3]) ).
thf(zip_derived_cl20_011,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( ( zip_tseitin_2 @ X0 @ X1 @ X2 @ X3 @ X4 )
| ~ ( c_member @ ( tc_prod @ tc_Arrow__Order__Mirabelle_Oalt @ tc_Arrow__Order__Mirabelle_Oalt ) @ ( c_Product__Type_OPair @ tc_Arrow__Order__Mirabelle_Oalt @ tc_Arrow__Order__Mirabelle_Oalt @ X2 @ X1 ) @ ( hAPP @ X4 @ X0 ) )
| ~ ( c_member @ ( tc_prod @ tc_Arrow__Order__Mirabelle_Oalt @ tc_Arrow__Order__Mirabelle_Oalt ) @ ( c_Product__Type_OPair @ tc_Arrow__Order__Mirabelle_Oalt @ tc_Arrow__Order__Mirabelle_Oalt @ X1 @ X2 ) @ ( hAPP @ X3 @ X0 ) ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl71_012,plain,
! [X0: $i] :
( ( c_member @ ( tc_prod @ tc_Arrow__Order__Mirabelle_Oalt @ tc_Arrow__Order__Mirabelle_Oalt ) @ ( c_Product__Type_OPair @ tc_Arrow__Order__Mirabelle_Oalt @ tc_Arrow__Order__Mirabelle_Oalt @ v_b_H____ @ v_a_H____ ) @ ( hAPP @ v_P____ @ X0 ) )
| ~ ( c_member @ ( tc_prod @ tc_Arrow__Order__Mirabelle_Oalt @ tc_Arrow__Order__Mirabelle_Oalt ) @ ( c_Product__Type_OPair @ tc_Arrow__Order__Mirabelle_Oalt @ tc_Arrow__Order__Mirabelle_Oalt @ v_a_H____ @ v_b_H____ ) @ ( hAPP @ v_P_H____ @ X0 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl6,zip_derived_cl4,zip_derived_cl3]) ).
thf(zip_derived_cl100,plain,
! [X0: $i,X1: $i] :
( ~ ( c_member @ ( tc_prod @ tc_Arrow__Order__Mirabelle_Oalt @ tc_Arrow__Order__Mirabelle_Oalt ) @ ( c_Product__Type_OPair @ tc_Arrow__Order__Mirabelle_Oalt @ tc_Arrow__Order__Mirabelle_Oalt @ v_a_H____ @ v_b_H____ ) @ ( hAPP @ X1 @ X0 ) )
| ( zip_tseitin_2 @ X0 @ v_b_H____ @ v_a_H____ @ v_P____ @ X1 )
| ~ ( c_member @ ( tc_prod @ tc_Arrow__Order__Mirabelle_Oalt @ tc_Arrow__Order__Mirabelle_Oalt ) @ ( c_Product__Type_OPair @ tc_Arrow__Order__Mirabelle_Oalt @ tc_Arrow__Order__Mirabelle_Oalt @ v_a_H____ @ v_b_H____ ) @ ( hAPP @ v_P_H____ @ X0 ) ) ),
inference('sup+',[status(thm)],[zip_derived_cl20,zip_derived_cl71]) ).
thf(zip_derived_cl216,plain,
! [X0: $i] :
( ~ ( c_member @ ( tc_prod @ tc_Arrow__Order__Mirabelle_Oalt @ tc_Arrow__Order__Mirabelle_Oalt ) @ ( c_Product__Type_OPair @ tc_Arrow__Order__Mirabelle_Oalt @ tc_Arrow__Order__Mirabelle_Oalt @ v_a_H____ @ v_b_H____ ) @ ( hAPP @ v_P_H____ @ X0 ) )
| ( zip_tseitin_2 @ X0 @ v_b_H____ @ v_a_H____ @ v_P____ @ v_P_H____ ) ),
inference(eq_fact,[status(thm)],[zip_derived_cl100]) ).
thf(zip_derived_cl21_013,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( ( zip_tseitin_2 @ X0 @ X1 @ X2 @ X3 @ X4 )
| ( c_member @ ( tc_prod @ tc_Arrow__Order__Mirabelle_Oalt @ tc_Arrow__Order__Mirabelle_Oalt ) @ ( c_Product__Type_OPair @ tc_Arrow__Order__Mirabelle_Oalt @ tc_Arrow__Order__Mirabelle_Oalt @ X2 @ X1 ) @ ( hAPP @ X4 @ X0 ) )
| ( c_member @ ( tc_prod @ tc_Arrow__Order__Mirabelle_Oalt @ tc_Arrow__Order__Mirabelle_Oalt ) @ ( c_Product__Type_OPair @ tc_Arrow__Order__Mirabelle_Oalt @ tc_Arrow__Order__Mirabelle_Oalt @ X1 @ X2 ) @ ( hAPP @ X3 @ X0 ) ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl218,plain,
! [X0: $i,X1: $i] :
( ( zip_tseitin_2 @ X0 @ v_b_H____ @ v_a_H____ @ v_P____ @ v_P_H____ )
| ( c_member @ ( tc_prod @ tc_Arrow__Order__Mirabelle_Oalt @ tc_Arrow__Order__Mirabelle_Oalt ) @ ( c_Product__Type_OPair @ tc_Arrow__Order__Mirabelle_Oalt @ tc_Arrow__Order__Mirabelle_Oalt @ v_b_H____ @ v_a_H____ ) @ ( hAPP @ X1 @ X0 ) )
| ( zip_tseitin_2 @ X0 @ v_b_H____ @ v_a_H____ @ X1 @ v_P_H____ ) ),
inference('sup+',[status(thm)],[zip_derived_cl216,zip_derived_cl21]) ).
thf(zip_derived_cl1132,plain,
! [X0: $i] :
( ( c_member @ ( tc_prod @ tc_Arrow__Order__Mirabelle_Oalt @ tc_Arrow__Order__Mirabelle_Oalt ) @ ( c_Product__Type_OPair @ tc_Arrow__Order__Mirabelle_Oalt @ tc_Arrow__Order__Mirabelle_Oalt @ v_a_H____ @ v_b_H____ ) @ ( hAPP @ v_P_H____ @ X0 ) )
| ( zip_tseitin_2 @ X0 @ v_b_H____ @ v_a_H____ @ v_P____ @ v_P_H____ )
| ( zip_tseitin_2 @ X0 @ v_b_H____ @ v_a_H____ @ v_P____ @ v_P_H____ ) ),
inference('sup+',[status(thm)],[zip_derived_cl57,zip_derived_cl218]) ).
thf(zip_derived_cl1138,plain,
! [X0: $i] :
( ( zip_tseitin_2 @ X0 @ v_b_H____ @ v_a_H____ @ v_P____ @ v_P_H____ )
| ( c_member @ ( tc_prod @ tc_Arrow__Order__Mirabelle_Oalt @ tc_Arrow__Order__Mirabelle_Oalt ) @ ( c_Product__Type_OPair @ tc_Arrow__Order__Mirabelle_Oalt @ tc_Arrow__Order__Mirabelle_Oalt @ v_a_H____ @ v_b_H____ ) @ ( hAPP @ v_P_H____ @ X0 ) ) ),
inference(simplify,[status(thm)],[zip_derived_cl1132]) ).
thf(zip_derived_cl216_014,plain,
! [X0: $i] :
( ~ ( c_member @ ( tc_prod @ tc_Arrow__Order__Mirabelle_Oalt @ tc_Arrow__Order__Mirabelle_Oalt ) @ ( c_Product__Type_OPair @ tc_Arrow__Order__Mirabelle_Oalt @ tc_Arrow__Order__Mirabelle_Oalt @ v_a_H____ @ v_b_H____ ) @ ( hAPP @ v_P_H____ @ X0 ) )
| ( zip_tseitin_2 @ X0 @ v_b_H____ @ v_a_H____ @ v_P____ @ v_P_H____ ) ),
inference(eq_fact,[status(thm)],[zip_derived_cl100]) ).
thf(zip_derived_cl1142,plain,
! [X0: $i] : ( zip_tseitin_2 @ X0 @ v_b_H____ @ v_a_H____ @ v_P____ @ v_P_H____ ),
inference(clc,[status(thm)],[zip_derived_cl1138,zip_derived_cl216]) ).
thf(zip_derived_cl13_015,plain,
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 ) ) @ v_P____ @ c_Arrow__Order__Mirabelle_OProf,
inference(cnf,[status(esa)],[fact_A_I3_J]) ).
thf(zip_derived_cl24_016,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ ( 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 ) ) @ X0 @ c_Arrow__Order__Mirabelle_OProf )
| ~ ( 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 ) ) @ X1 @ c_Arrow__Order__Mirabelle_OProf )
| ( X3 = X2 )
| ( zip_tseitin_3 @ X3 @ X2 @ X0 @ X1 )
| ~ ( zip_tseitin_2 @ ( sk__1 @ X3 @ X2 @ X0 @ X1 ) @ X3 @ X2 @ X0 @ X1 ) ),
inference(cnf,[status(esa)],[zf_stmt_4]) ).
thf(zip_derived_cl95,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ ( zip_tseitin_2 @ ( sk__1 @ X2 @ X1 @ v_P____ @ X0 ) @ X2 @ X1 @ v_P____ @ X0 )
| ( zip_tseitin_3 @ X2 @ X1 @ v_P____ @ X0 )
| ( X2 = X1 )
| ~ ( 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 ) ) @ X0 @ c_Arrow__Order__Mirabelle_OProf ) ),
inference('sup-',[status(thm)],[zip_derived_cl13,zip_derived_cl24]) ).
thf(zip_derived_cl1143,plain,
( ~ ( 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 ) ) @ v_P_H____ @ c_Arrow__Order__Mirabelle_OProf )
| ( v_b_H____ = v_a_H____ )
| ( zip_tseitin_3 @ v_b_H____ @ v_a_H____ @ v_P____ @ v_P_H____ ) ),
inference('sup-',[status(thm)],[zip_derived_cl1142,zip_derived_cl95]) ).
thf(zip_derived_cl14_017,plain,
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 ) ) @ v_P_H____ @ c_Arrow__Order__Mirabelle_OProf,
inference(cnf,[status(esa)],[fact_A_I4_J]) ).
thf(zip_derived_cl1144,plain,
( ( v_b_H____ = v_a_H____ )
| ( zip_tseitin_3 @ v_b_H____ @ v_a_H____ @ v_P____ @ v_P_H____ ) ),
inference(demod,[status(thm)],[zip_derived_cl1143,zip_derived_cl14]) ).
thf(zip_derived_cl2_018,plain,
v_a_H____ != v_b_H____,
inference(cnf,[status(esa)],[fact_A_I2_J]) ).
thf(zip_derived_cl1145,plain,
zip_tseitin_3 @ v_b_H____ @ v_a_H____ @ v_P____ @ v_P_H____,
inference('simplify_reflect-',[status(thm)],[zip_derived_cl1144,zip_derived_cl2]) ).
thf(zip_derived_cl1549,plain,
$false,
inference(demod,[status(thm)],[zip_derived_cl1523,zip_derived_cl1145]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : SCT158+1 : TPTP v8.1.2. Released v5.2.0.
% 0.00/0.13 % Command : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.NwoBh33ngb true
% 0.14/0.34 % Computer : n028.cluster.edu
% 0.14/0.34 % Model : x86_64 x86_64
% 0.14/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.34 % Memory : 8042.1875MB
% 0.14/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.34 % CPULimit : 300
% 0.14/0.34 % WCLimit : 300
% 0.14/0.34 % DateTime : Thu Aug 24 15:58:50 EDT 2023
% 0.14/0.34 % CPUTime :
% 0.14/0.34 % Running portfolio for 300 s
% 0.14/0.34 % File : /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.14/0.34 % Number of cores: 8
% 0.14/0.35 % Python version: Python 3.6.8
% 0.14/0.35 % Running in FO mode
% 0.21/0.63 % Total configuration time : 435
% 0.21/0.63 % Estimated wc time : 1092
% 0.21/0.63 % Estimated cpu time (7 cpus) : 156.0
% 0.21/0.68 % /export/starexec/sandbox2/solver/bin/fo/fo6_bce.sh running for 75s
% 0.21/0.71 % /export/starexec/sandbox2/solver/bin/fo/fo3_bce.sh running for 75s
% 0.21/0.71 % /export/starexec/sandbox2/solver/bin/fo/fo1_av.sh running for 75s
% 0.21/0.73 % /export/starexec/sandbox2/solver/bin/fo/fo13.sh running for 50s
% 0.21/0.73 % /export/starexec/sandbox2/solver/bin/fo/fo7.sh running for 63s
% 0.21/0.73 % /export/starexec/sandbox2/solver/bin/fo/fo4.sh running for 50s
% 0.21/0.73 % /export/starexec/sandbox2/solver/bin/fo/fo5.sh running for 50s
% 3.91/1.16 % Solved by fo/fo4.sh.
% 3.91/1.16 % done 260 iterations in 0.410s
% 3.91/1.16 % SZS status Theorem for '/export/starexec/sandbox2/benchmark/theBenchmark.p'
% 3.91/1.16 % SZS output start Refutation
% See solution above
% 3.91/1.17
% 3.91/1.17
% 3.91/1.17 % Terminating...
% 4.51/1.24 % Runner terminated.
% 4.51/1.26 % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------