%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : ALG044+1 : TPTP v9.2.0. Released v2.7.0.
% Transfm : none
% Format : tptp:raw
% Command : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.kIVu5etSaO true
% Computer : n012.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 04:27:23 PM UTC 2025
% Result : Theorem 0.61s 0.84s
% Output : Refutation 0.61s
% Verified :
% SZS Type : Refutation
% Derivation depth : 9
% Number of leaves : 59
% Syntax : Number of formulae : 299 ( 131 unt; 0 typ; 0 def)
% Number of atoms : 1043 ( 667 equ; 0 cnn)
% Maximal formula atoms : 220 ( 3 avg)
% Number of connectives : 2087 ( 189 ~; 475 |; 215 &;1154 @)
% ( 0 <=>; 54 =>; 0 <=; 0 <~>)
% Maximal formula depth : 65 ( 3 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 0 ( 0 >; 0 *; 0 +; 0 <<)
% Number of symbols : 62 ( 60 usr; 60 con; 0-2 aty)
% Number of variables : 0 ( 0 ^; 0 !; 0 ?; 0 :)
% Comments :
%------------------------------------------------------------------------------
thf(unit_type,type,
unit: $i ).
thf(zip_tseitin_9_type,type,
zip_tseitin_9: $o ).
thf(zip_tseitin_15_type,type,
zip_tseitin_15: $o ).
thf(zip_tseitin_40_type,type,
zip_tseitin_40: $o ).
thf(zip_tseitin_48_type,type,
zip_tseitin_48: $o ).
thf(zip_tseitin_41_type,type,
zip_tseitin_41: $o ).
thf(zip_tseitin_44_type,type,
zip_tseitin_44: $o ).
thf(zip_tseitin_34_type,type,
zip_tseitin_34: $o ).
thf(zip_tseitin_18_type,type,
zip_tseitin_18: $o ).
thf(zip_tseitin_47_type,type,
zip_tseitin_47: $o ).
thf(op_type,type,
op: $i > $i > $i ).
thf(zip_tseitin_27_type,type,
zip_tseitin_27: $o ).
thf(zip_tseitin_2_type,type,
zip_tseitin_2: $o ).
thf(zip_tseitin_10_type,type,
zip_tseitin_10: $o ).
thf(zip_tseitin_33_type,type,
zip_tseitin_33: $o ).
thf(zip_tseitin_42_type,type,
zip_tseitin_42: $o ).
thf(zip_tseitin_1_type,type,
zip_tseitin_1: $o ).
thf(zip_tseitin_4_type,type,
zip_tseitin_4: $o ).
thf(zip_tseitin_32_type,type,
zip_tseitin_32: $o ).
thf(zip_tseitin_19_type,type,
zip_tseitin_19: $o ).
thf(zip_tseitin_7_type,type,
zip_tseitin_7: $o ).
thf(zip_tseitin_43_type,type,
zip_tseitin_43: $o ).
thf(zip_tseitin_5_type,type,
zip_tseitin_5: $o ).
thf(e3_type,type,
e3: $i ).
thf(zip_tseitin_50_type,type,
zip_tseitin_50: $o ).
thf(zip_tseitin_22_type,type,
zip_tseitin_22: $o ).
thf(zip_tseitin_37_type,type,
zip_tseitin_37: $o ).
thf(zip_tseitin_46_type,type,
zip_tseitin_46: $o ).
thf(zip_tseitin_16_type,type,
zip_tseitin_16: $o ).
thf(zip_tseitin_52_type,type,
zip_tseitin_52: $o ).
thf(zip_tseitin_39_type,type,
zip_tseitin_39: $o ).
thf(zip_tseitin_51_type,type,
zip_tseitin_51: $o ).
thf(zip_tseitin_36_type,type,
zip_tseitin_36: $o ).
thf(zip_tseitin_14_type,type,
zip_tseitin_14: $o ).
thf(e2_type,type,
e2: $i ).
thf(zip_tseitin_53_type,type,
zip_tseitin_53: $o ).
thf(zip_tseitin_31_type,type,
zip_tseitin_31: $o ).
thf(e1_type,type,
e1: $i ).
thf(zip_tseitin_8_type,type,
zip_tseitin_8: $o ).
thf(zip_tseitin_26_type,type,
zip_tseitin_26: $o ).
thf(zip_tseitin_35_type,type,
zip_tseitin_35: $o ).
thf(zip_tseitin_29_type,type,
zip_tseitin_29: $o ).
thf(zip_tseitin_12_type,type,
zip_tseitin_12: $o ).
thf(zip_tseitin_49_type,type,
zip_tseitin_49: $o ).
thf(e0_type,type,
e0: $i ).
thf(zip_tseitin_45_type,type,
zip_tseitin_45: $o ).
thf(zip_tseitin_23_type,type,
zip_tseitin_23: $o ).
thf(zip_tseitin_24_type,type,
zip_tseitin_24: $o ).
thf(zip_tseitin_30_type,type,
zip_tseitin_30: $o ).
thf(zip_tseitin_20_type,type,
zip_tseitin_20: $o ).
thf(zip_tseitin_6_type,type,
zip_tseitin_6: $o ).
thf(zip_tseitin_13_type,type,
zip_tseitin_13: $o ).
thf(zip_tseitin_11_type,type,
zip_tseitin_11: $o ).
thf(zip_tseitin_3_type,type,
zip_tseitin_3: $o ).
thf(zip_tseitin_38_type,type,
zip_tseitin_38: $o ).
thf(zip_tseitin_28_type,type,
zip_tseitin_28: $o ).
thf(zip_tseitin_21_type,type,
zip_tseitin_21: $o ).
thf(zip_tseitin_0_type,type,
zip_tseitin_0: $o ).
thf(zip_tseitin_25_type,type,
zip_tseitin_25: $o ).
thf(zip_tseitin_17_type,type,
zip_tseitin_17: $o ).
thf(ax2,axiom,
( ( ( op @ e3 @ e3 )
= e0 )
& ( ( op @ e3 @ e2 )
= e1 )
& ( ( op @ e3 @ e1 )
= e2 )
& ( ( op @ e3 @ e0 )
= e3 )
& ( ( op @ e2 @ e3 )
= e1 )
& ( ( op @ e2 @ e2 )
= e3 )
& ( ( op @ e2 @ e1 )
= e0 )
& ( ( op @ e2 @ e0 )
= e2 )
& ( ( op @ e1 @ e3 )
= e2 )
& ( ( op @ e1 @ e2 )
= e0 )
& ( ( op @ e1 @ e1 )
= e3 )
& ( ( op @ e1 @ e0 )
= e1 )
& ( ( op @ e0 @ e3 )
= e3 )
& ( ( op @ e0 @ e2 )
= e2 )
& ( ( op @ e0 @ e1 )
= e1 )
& ( ( op @ e0 @ e0 )
= e0 ) ) ).
thf(zip_derived_cl16,plain,
( ( op @ e1 @ e1 )
= e3 ),
inference(cnf,[status(esa)],[ax2]) ).
thf(co1,conjecture,
( ( ( ( op @ e0 @ e3 )
= e3 )
| ( ( op @ e1 @ e3 )
= e3 )
| ( ( op @ e2 @ e3 )
= e3 )
| ( ( op @ e3 @ e3 )
= e3 ) )
& ( ( ( op @ e3 @ e0 )
= e3 )
| ( ( op @ e3 @ e1 )
= e3 )
| ( ( op @ e3 @ e2 )
= e3 )
| ( ( op @ e3 @ e3 )
= e3 ) )
& ( ( ( op @ e0 @ e3 )
= e2 )
| ( ( op @ e1 @ e3 )
= e2 )
| ( ( op @ e2 @ e3 )
= e2 )
| ( ( op @ e3 @ e3 )
= e2 ) )
& ( ( ( op @ e3 @ e0 )
= e2 )
| ( ( op @ e3 @ e1 )
= e2 )
| ( ( op @ e3 @ e2 )
= e2 )
| ( ( op @ e3 @ e3 )
= e2 ) )
& ( ( ( op @ e0 @ e3 )
= e1 )
| ( ( op @ e1 @ e3 )
= e1 )
| ( ( op @ e2 @ e3 )
= e1 )
| ( ( op @ e3 @ e3 )
= e1 ) )
& ( ( ( op @ e3 @ e0 )
= e1 )
| ( ( op @ e3 @ e1 )
= e1 )
| ( ( op @ e3 @ e2 )
= e1 )
| ( ( op @ e3 @ e3 )
= e1 ) )
& ( ( ( op @ e0 @ e3 )
= e0 )
| ( ( op @ e1 @ e3 )
= e0 )
| ( ( op @ e2 @ e3 )
= e0 )
| ( ( op @ e3 @ e3 )
= e0 ) )
& ( ( ( op @ e3 @ e0 )
= e0 )
| ( ( op @ e3 @ e1 )
= e0 )
| ( ( op @ e3 @ e2 )
= e0 )
| ( ( op @ e3 @ e3 )
= e0 ) )
& ( ( ( op @ e0 @ e2 )
= e3 )
| ( ( op @ e1 @ e2 )
= e3 )
| ( ( op @ e2 @ e2 )
= e3 )
| ( ( op @ e3 @ e2 )
= e3 ) )
& ( ( ( op @ e2 @ e0 )
= e3 )
| ( ( op @ e2 @ e1 )
= e3 )
| ( ( op @ e2 @ e2 )
= e3 )
| ( ( op @ e2 @ e3 )
= e3 ) )
& ( ( ( op @ e0 @ e2 )
= e2 )
| ( ( op @ e1 @ e2 )
= e2 )
| ( ( op @ e2 @ e2 )
= e2 )
| ( ( op @ e3 @ e2 )
= e2 ) )
& ( ( ( op @ e2 @ e0 )
= e2 )
| ( ( op @ e2 @ e1 )
= e2 )
| ( ( op @ e2 @ e2 )
= e2 )
| ( ( op @ e2 @ e3 )
= e2 ) )
& ( ( ( op @ e0 @ e2 )
= e1 )
| ( ( op @ e1 @ e2 )
= e1 )
| ( ( op @ e2 @ e2 )
= e1 )
| ( ( op @ e3 @ e2 )
= e1 ) )
& ( ( ( op @ e2 @ e0 )
= e1 )
| ( ( op @ e2 @ e1 )
= e1 )
| ( ( op @ e2 @ e2 )
= e1 )
| ( ( op @ e2 @ e3 )
= e1 ) )
& ( ( ( op @ e0 @ e2 )
= e0 )
| ( ( op @ e1 @ e2 )
= e0 )
| ( ( op @ e2 @ e2 )
= e0 )
| ( ( op @ e3 @ e2 )
= e0 ) )
& ( ( ( op @ e2 @ e0 )
= e0 )
| ( ( op @ e2 @ e1 )
= e0 )
| ( ( op @ e2 @ e2 )
= e0 )
| ( ( op @ e2 @ e3 )
= e0 ) )
& ( ( ( op @ e0 @ e1 )
= e3 )
| ( ( op @ e1 @ e1 )
= e3 )
| ( ( op @ e2 @ e1 )
= e3 )
| ( ( op @ e3 @ e1 )
= e3 ) )
& ( ( ( op @ e1 @ e0 )
= e3 )
| ( ( op @ e1 @ e1 )
= e3 )
| ( ( op @ e1 @ e2 )
= e3 )
| ( ( op @ e1 @ e3 )
= e3 ) )
& ( ( ( op @ e0 @ e1 )
= e2 )
| ( ( op @ e1 @ e1 )
= e2 )
| ( ( op @ e2 @ e1 )
= e2 )
| ( ( op @ e3 @ e1 )
= e2 ) )
& ( ( ( op @ e1 @ e0 )
= e2 )
| ( ( op @ e1 @ e1 )
= e2 )
| ( ( op @ e1 @ e2 )
= e2 )
| ( ( op @ e1 @ e3 )
= e2 ) )
& ( ( ( op @ e0 @ e1 )
= e1 )
| ( ( op @ e1 @ e1 )
= e1 )
| ( ( op @ e2 @ e1 )
= e1 )
| ( ( op @ e3 @ e1 )
= e1 ) )
& ( ( ( op @ e1 @ e0 )
= e1 )
| ( ( op @ e1 @ e1 )
= e1 )
| ( ( op @ e1 @ e2 )
= e1 )
| ( ( op @ e1 @ e3 )
= e1 ) )
& ( ( ( op @ e0 @ e1 )
= e0 )
| ( ( op @ e1 @ e1 )
= e0 )
| ( ( op @ e2 @ e1 )
= e0 )
| ( ( op @ e3 @ e1 )
= e0 ) )
& ( ( ( op @ e1 @ e0 )
= e0 )
| ( ( op @ e1 @ e1 )
= e0 )
| ( ( op @ e1 @ e2 )
= e0 )
| ( ( op @ e1 @ e3 )
= e0 ) )
& ( ( ( op @ e0 @ e0 )
= e3 )
| ( ( op @ e1 @ e0 )
= e3 )
| ( ( op @ e2 @ e0 )
= e3 )
| ( ( op @ e3 @ e0 )
= e3 ) )
& ( ( ( op @ e0 @ e0 )
= e3 )
| ( ( op @ e0 @ e1 )
= e3 )
| ( ( op @ e0 @ e2 )
= e3 )
| ( ( op @ e0 @ e3 )
= e3 ) )
& ( ( ( op @ e0 @ e0 )
= e2 )
| ( ( op @ e1 @ e0 )
= e2 )
| ( ( op @ e2 @ e0 )
= e2 )
| ( ( op @ e3 @ e0 )
= e2 ) )
& ( ( ( op @ e0 @ e0 )
= e2 )
| ( ( op @ e0 @ e1 )
= e2 )
| ( ( op @ e0 @ e2 )
= e2 )
| ( ( op @ e0 @ e3 )
= e2 ) )
& ( ( ( op @ e0 @ e0 )
= e1 )
| ( ( op @ e1 @ e0 )
= e1 )
| ( ( op @ e2 @ e0 )
= e1 )
| ( ( op @ e3 @ e0 )
= e1 ) )
& ( ( ( op @ e0 @ e0 )
= e1 )
| ( ( op @ e0 @ e1 )
= e1 )
| ( ( op @ e0 @ e2 )
= e1 )
| ( ( op @ e0 @ e3 )
= e1 ) )
& ( ( ( op @ e0 @ e0 )
= e0 )
| ( ( op @ e1 @ e0 )
= e0 )
| ( ( op @ e2 @ e0 )
= e0 )
| ( ( op @ e3 @ e0 )
= e0 ) )
& ( ( ( op @ e0 @ e0 )
= e0 )
| ( ( op @ e0 @ e1 )
= e0 )
| ( ( op @ e0 @ e2 )
= e0 )
| ( ( op @ e0 @ e3 )
= e0 ) )
& ( ( unit = e0 )
| ( unit = e1 )
| ( unit = e2 )
| ( unit = e3 ) )
& ( ( op @ e3 @ unit )
= e3 )
& ( ( op @ unit @ e3 )
= e3 )
& ( ( op @ e2 @ unit )
= e2 )
& ( ( op @ unit @ e2 )
= e2 )
& ( ( op @ e1 @ unit )
= e1 )
& ( ( op @ unit @ e1 )
= e1 )
& ( ( op @ e0 @ unit )
= e0 )
& ( ( op @ unit @ e0 )
= e0 )
& ( ( ( op @ e3 @ e3 )
= e0 )
| ( ( op @ e3 @ e3 )
= e1 )
| ( ( op @ e3 @ e3 )
= e2 )
| ( ( op @ e3 @ e3 )
= e3 ) )
& ( ( ( op @ e3 @ e2 )
= e0 )
| ( ( op @ e3 @ e2 )
= e1 )
| ( ( op @ e3 @ e2 )
= e2 )
| ( ( op @ e3 @ e2 )
= e3 ) )
& ( ( ( op @ e3 @ e1 )
= e0 )
| ( ( op @ e3 @ e1 )
= e1 )
| ( ( op @ e3 @ e1 )
= e2 )
| ( ( op @ e3 @ e1 )
= e3 ) )
& ( ( ( op @ e3 @ e0 )
= e0 )
| ( ( op @ e3 @ e0 )
= e1 )
| ( ( op @ e3 @ e0 )
= e2 )
| ( ( op @ e3 @ e0 )
= e3 ) )
& ( ( ( op @ e2 @ e3 )
= e0 )
| ( ( op @ e2 @ e3 )
= e1 )
| ( ( op @ e2 @ e3 )
= e2 )
| ( ( op @ e2 @ e3 )
= e3 ) )
& ( ( ( op @ e2 @ e2 )
= e0 )
| ( ( op @ e2 @ e2 )
= e1 )
| ( ( op @ e2 @ e2 )
= e2 )
| ( ( op @ e2 @ e2 )
= e3 ) )
& ( ( ( op @ e2 @ e1 )
= e0 )
| ( ( op @ e2 @ e1 )
= e1 )
| ( ( op @ e2 @ e1 )
= e2 )
| ( ( op @ e2 @ e1 )
= e3 ) )
& ( ( ( op @ e2 @ e0 )
= e0 )
| ( ( op @ e2 @ e0 )
= e1 )
| ( ( op @ e2 @ e0 )
= e2 )
| ( ( op @ e2 @ e0 )
= e3 ) )
& ( ( ( op @ e1 @ e3 )
= e0 )
| ( ( op @ e1 @ e3 )
= e1 )
| ( ( op @ e1 @ e3 )
= e2 )
| ( ( op @ e1 @ e3 )
= e3 ) )
& ( ( ( op @ e1 @ e2 )
= e0 )
| ( ( op @ e1 @ e2 )
= e1 )
| ( ( op @ e1 @ e2 )
= e2 )
| ( ( op @ e1 @ e2 )
= e3 ) )
& ( ( ( op @ e1 @ e1 )
= e0 )
| ( ( op @ e1 @ e1 )
= e1 )
| ( ( op @ e1 @ e1 )
= e2 )
| ( ( op @ e1 @ e1 )
= e3 ) )
& ( ( ( op @ e1 @ e0 )
= e0 )
| ( ( op @ e1 @ e0 )
= e1 )
| ( ( op @ e1 @ e0 )
= e2 )
| ( ( op @ e1 @ e0 )
= e3 ) )
& ( ( ( op @ e0 @ e3 )
= e0 )
| ( ( op @ e0 @ e3 )
= e1 )
| ( ( op @ e0 @ e3 )
= e2 )
| ( ( op @ e0 @ e3 )
= e3 ) )
& ( ( ( op @ e0 @ e2 )
= e0 )
| ( ( op @ e0 @ e2 )
= e1 )
| ( ( op @ e0 @ e2 )
= e2 )
| ( ( op @ e0 @ e2 )
= e3 ) )
& ( ( ( op @ e0 @ e1 )
= e0 )
| ( ( op @ e0 @ e1 )
= e1 )
| ( ( op @ e0 @ e1 )
= e2 )
| ( ( op @ e0 @ e1 )
= e3 ) )
& ( ( ( op @ e0 @ e0 )
= e0 )
| ( ( op @ e0 @ e0 )
= e1 )
| ( ( op @ e0 @ e0 )
= e2 )
| ( ( op @ e0 @ e0 )
= e3 ) )
& ~ ( ( ( ( op @ e3 @ e3 )
= e3 )
& ( ( op @ e2 @ e2 )
= e3 )
& ( ( op @ e1 @ e1 )
= e3 )
& ( ( op @ e0 @ e0 )
= e3 ) )
| ( ( ( op @ e3 @ e3 )
= e2 )
& ( ( op @ e2 @ e2 )
= e2 )
& ( ( op @ e1 @ e1 )
= e2 )
& ( ( op @ e0 @ e0 )
= e2 ) )
| ( ( ( op @ e3 @ e3 )
= e1 )
& ( ( op @ e2 @ e2 )
= e1 )
& ( ( op @ e1 @ e1 )
= e1 )
& ( ( op @ e0 @ e0 )
= e1 ) )
| ( ( ( op @ e3 @ e3 )
= e0 )
& ( ( op @ e2 @ e2 )
= e0 )
& ( ( op @ e1 @ e1 )
= e0 )
& ( ( op @ e0 @ e0 )
= e0 ) ) ) ) ).
thf(zf_stmt_0,axiom,
( zip_tseitin_52
=> ( ( ( op @ e0 @ e0 )
= e0 )
& ( ( op @ e1 @ e1 )
= e0 )
& ( ( op @ e2 @ e2 )
= e0 )
& ( ( op @ e3 @ e3 )
= e0 ) ) ) ).
thf(zip_derived_cl232,plain,
( ( ( op @ e1 @ e1 )
= e0 )
| ~ zip_tseitin_52 ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zf_stmt_1,axiom,
( zip_tseitin_53
=> ( zip_tseitin_52
| zip_tseitin_51
| zip_tseitin_50
| zip_tseitin_49 ) ) ).
thf(zip_derived_cl235,plain,
( zip_tseitin_49
| zip_tseitin_50
| zip_tseitin_51
| zip_tseitin_52
| ~ zip_tseitin_53 ),
inference(cnf,[status(esa)],[zf_stmt_1]) ).
thf(zf_stmt_2,axiom,
( zip_tseitin_49
=> ( ( ( op @ e0 @ e0 )
= e3 )
& ( ( op @ e1 @ e1 )
= e3 )
& ( ( op @ e2 @ e2 )
= e3 )
& ( ( op @ e3 @ e3 )
= e3 ) ) ) ).
thf(zip_derived_cl219,plain,
( ( ( op @ e0 @ e0 )
= e3 )
| ~ zip_tseitin_49 ),
inference(cnf,[status(esa)],[zf_stmt_2]) ).
thf(zip_derived_cl21,plain,
( ( op @ e0 @ e0 )
= e0 ),
inference(cnf,[status(esa)],[ax2]) ).
thf(zip_derived_cl277,plain,
( ( e0 = e3 )
| ~ zip_tseitin_49 ),
inference(demod,[status(thm)],[zip_derived_cl219,zip_derived_cl21]) ).
thf(ax1,axiom,
( ( e2 != e3 )
& ( e1 != e3 )
& ( e1 != e2 )
& ( e0 != e3 )
& ( e0 != e2 )
& ( e0 != e1 ) ) ).
thf(zip_derived_cl3,plain,
e0 != e3,
inference(cnf,[status(esa)],[ax1]) ).
thf(zip_derived_cl278,plain,
~ zip_tseitin_49,
inference('simplify_reflect-',[status(thm)],[zip_derived_cl277,zip_derived_cl3]) ).
thf(zf_stmt_3,axiom,
( zip_tseitin_50
=> ( ( ( op @ e0 @ e0 )
= e2 )
& ( ( op @ e1 @ e1 )
= e2 )
& ( ( op @ e2 @ e2 )
= e2 )
& ( ( op @ e3 @ e3 )
= e2 ) ) ) ).
thf(zip_derived_cl223,plain,
( ( ( op @ e0 @ e0 )
= e2 )
| ~ zip_tseitin_50 ),
inference(cnf,[status(esa)],[zf_stmt_3]) ).
thf(zip_derived_cl21_001,plain,
( ( op @ e0 @ e0 )
= e0 ),
inference(cnf,[status(esa)],[ax2]) ).
thf(zip_derived_cl323,plain,
( ( e0 = e2 )
| ~ zip_tseitin_50 ),
inference(demod,[status(thm)],[zip_derived_cl223,zip_derived_cl21]) ).
thf(zip_derived_cl4,plain,
e0 != e2,
inference(cnf,[status(esa)],[ax1]) ).
thf(zip_derived_cl324,plain,
~ zip_tseitin_50,
inference('simplify_reflect-',[status(thm)],[zip_derived_cl323,zip_derived_cl4]) ).
thf(zf_stmt_4,axiom,
( zip_tseitin_51
=> ( ( ( op @ e0 @ e0 )
= e1 )
& ( ( op @ e1 @ e1 )
= e1 )
& ( ( op @ e2 @ e2 )
= e1 )
& ( ( op @ e3 @ e3 )
= e1 ) ) ) ).
thf(zip_derived_cl227,plain,
( ( ( op @ e0 @ e0 )
= e1 )
| ~ zip_tseitin_51 ),
inference(cnf,[status(esa)],[zf_stmt_4]) ).
thf(zip_derived_cl21_002,plain,
( ( op @ e0 @ e0 )
= e0 ),
inference(cnf,[status(esa)],[ax2]) ).
thf(zip_derived_cl367,plain,
( ( e0 = e1 )
| ~ zip_tseitin_51 ),
inference(demod,[status(thm)],[zip_derived_cl227,zip_derived_cl21]) ).
thf(zip_derived_cl5,plain,
e0 != e1,
inference(cnf,[status(esa)],[ax1]) ).
thf(zip_derived_cl368,plain,
~ zip_tseitin_51,
inference('simplify_reflect-',[status(thm)],[zip_derived_cl367,zip_derived_cl5]) ).
thf(zip_derived_cl451,plain,
( zip_tseitin_52
| ~ zip_tseitin_53 ),
inference(demod,[status(thm)],[zip_derived_cl235,zip_derived_cl278,zip_derived_cl324,zip_derived_cl368]) ).
thf(zf_stmt_5,type,
zip_tseitin_53: $o ).
thf(zf_stmt_6,type,
zip_tseitin_52: $o ).
thf(zf_stmt_7,type,
zip_tseitin_51: $o ).
thf(zf_stmt_8,type,
zip_tseitin_50: $o ).
thf(zf_stmt_9,type,
zip_tseitin_49: $o ).
thf(zf_stmt_10,type,
zip_tseitin_48: $o ).
thf(zf_stmt_11,axiom,
( ( ( ( op @ e0 @ e0 )
= e3 )
| ( ( op @ e0 @ e0 )
= e2 )
| ( ( op @ e0 @ e0 )
= e1 )
| ( ( op @ e0 @ e0 )
= e0 ) )
=> zip_tseitin_48 ) ).
thf(zf_stmt_12,type,
zip_tseitin_47: $o ).
thf(zf_stmt_13,axiom,
( ( ( ( op @ e0 @ e1 )
= e3 )
| ( ( op @ e0 @ e1 )
= e2 )
| ( ( op @ e0 @ e1 )
= e1 )
| ( ( op @ e0 @ e1 )
= e0 ) )
=> zip_tseitin_47 ) ).
thf(zf_stmt_14,type,
zip_tseitin_46: $o ).
thf(zf_stmt_15,axiom,
( ( ( ( op @ e0 @ e2 )
= e3 )
| ( ( op @ e0 @ e2 )
= e2 )
| ( ( op @ e0 @ e2 )
= e1 )
| ( ( op @ e0 @ e2 )
= e0 ) )
=> zip_tseitin_46 ) ).
thf(zf_stmt_16,type,
zip_tseitin_45: $o ).
thf(zf_stmt_17,axiom,
( ( ( ( op @ e0 @ e3 )
= e3 )
| ( ( op @ e0 @ e3 )
= e2 )
| ( ( op @ e0 @ e3 )
= e1 )
| ( ( op @ e0 @ e3 )
= e0 ) )
=> zip_tseitin_45 ) ).
thf(zf_stmt_18,type,
zip_tseitin_44: $o ).
thf(zf_stmt_19,axiom,
( ( ( ( op @ e1 @ e0 )
= e3 )
| ( ( op @ e1 @ e0 )
= e2 )
| ( ( op @ e1 @ e0 )
= e1 )
| ( ( op @ e1 @ e0 )
= e0 ) )
=> zip_tseitin_44 ) ).
thf(zf_stmt_20,type,
zip_tseitin_43: $o ).
thf(zf_stmt_21,axiom,
( ( ( ( op @ e1 @ e1 )
= e3 )
| ( ( op @ e1 @ e1 )
= e2 )
| ( ( op @ e1 @ e1 )
= e1 )
| ( ( op @ e1 @ e1 )
= e0 ) )
=> zip_tseitin_43 ) ).
thf(zf_stmt_22,type,
zip_tseitin_42: $o ).
thf(zf_stmt_23,axiom,
( ( ( ( op @ e1 @ e2 )
= e3 )
| ( ( op @ e1 @ e2 )
= e2 )
| ( ( op @ e1 @ e2 )
= e1 )
| ( ( op @ e1 @ e2 )
= e0 ) )
=> zip_tseitin_42 ) ).
thf(zf_stmt_24,type,
zip_tseitin_41: $o ).
thf(zf_stmt_25,axiom,
( ( ( ( op @ e1 @ e3 )
= e3 )
| ( ( op @ e1 @ e3 )
= e2 )
| ( ( op @ e1 @ e3 )
= e1 )
| ( ( op @ e1 @ e3 )
= e0 ) )
=> zip_tseitin_41 ) ).
thf(zf_stmt_26,type,
zip_tseitin_40: $o ).
thf(zf_stmt_27,axiom,
( ( ( ( op @ e2 @ e0 )
= e3 )
| ( ( op @ e2 @ e0 )
= e2 )
| ( ( op @ e2 @ e0 )
= e1 )
| ( ( op @ e2 @ e0 )
= e0 ) )
=> zip_tseitin_40 ) ).
thf(zf_stmt_28,type,
zip_tseitin_39: $o ).
thf(zf_stmt_29,axiom,
( ( ( ( op @ e2 @ e1 )
= e3 )
| ( ( op @ e2 @ e1 )
= e2 )
| ( ( op @ e2 @ e1 )
= e1 )
| ( ( op @ e2 @ e1 )
= e0 ) )
=> zip_tseitin_39 ) ).
thf(zf_stmt_30,type,
zip_tseitin_38: $o ).
thf(zf_stmt_31,axiom,
( ( ( ( op @ e2 @ e2 )
= e3 )
| ( ( op @ e2 @ e2 )
= e2 )
| ( ( op @ e2 @ e2 )
= e1 )
| ( ( op @ e2 @ e2 )
= e0 ) )
=> zip_tseitin_38 ) ).
thf(zf_stmt_32,type,
zip_tseitin_37: $o ).
thf(zf_stmt_33,axiom,
( ( ( ( op @ e2 @ e3 )
= e3 )
| ( ( op @ e2 @ e3 )
= e2 )
| ( ( op @ e2 @ e3 )
= e1 )
| ( ( op @ e2 @ e3 )
= e0 ) )
=> zip_tseitin_37 ) ).
thf(zf_stmt_34,type,
zip_tseitin_36: $o ).
thf(zf_stmt_35,axiom,
( ( ( ( op @ e3 @ e0 )
= e3 )
| ( ( op @ e3 @ e0 )
= e2 )
| ( ( op @ e3 @ e0 )
= e1 )
| ( ( op @ e3 @ e0 )
= e0 ) )
=> zip_tseitin_36 ) ).
thf(zf_stmt_36,type,
zip_tseitin_35: $o ).
thf(zf_stmt_37,axiom,
( ( ( ( op @ e3 @ e1 )
= e3 )
| ( ( op @ e3 @ e1 )
= e2 )
| ( ( op @ e3 @ e1 )
= e1 )
| ( ( op @ e3 @ e1 )
= e0 ) )
=> zip_tseitin_35 ) ).
thf(zf_stmt_38,type,
zip_tseitin_34: $o ).
thf(zf_stmt_39,axiom,
( ( ( ( op @ e3 @ e2 )
= e3 )
| ( ( op @ e3 @ e2 )
= e2 )
| ( ( op @ e3 @ e2 )
= e1 )
| ( ( op @ e3 @ e2 )
= e0 ) )
=> zip_tseitin_34 ) ).
thf(zf_stmt_40,type,
zip_tseitin_33: $o ).
thf(zf_stmt_41,axiom,
( ( ( ( op @ e3 @ e3 )
= e3 )
| ( ( op @ e3 @ e3 )
= e2 )
| ( ( op @ e3 @ e3 )
= e1 )
| ( ( op @ e3 @ e3 )
= e0 ) )
=> zip_tseitin_33 ) ).
thf(zf_stmt_42,type,
zip_tseitin_32: $o ).
thf(zf_stmt_43,axiom,
( ( ( unit = e3 )
| ( unit = e2 )
| ( unit = e1 )
| ( unit = e0 ) )
=> zip_tseitin_32 ) ).
thf(zf_stmt_44,type,
zip_tseitin_31: $o ).
thf(zf_stmt_45,axiom,
( ( ( ( op @ e0 @ e3 )
= e0 )
| ( ( op @ e0 @ e2 )
= e0 )
| ( ( op @ e0 @ e1 )
= e0 )
| ( ( op @ e0 @ e0 )
= e0 ) )
=> zip_tseitin_31 ) ).
thf(zf_stmt_46,type,
zip_tseitin_30: $o ).
thf(zf_stmt_47,axiom,
( ( ( ( op @ e3 @ e0 )
= e0 )
| ( ( op @ e2 @ e0 )
= e0 )
| ( ( op @ e1 @ e0 )
= e0 )
| ( ( op @ e0 @ e0 )
= e0 ) )
=> zip_tseitin_30 ) ).
thf(zf_stmt_48,type,
zip_tseitin_29: $o ).
thf(zf_stmt_49,axiom,
( ( ( ( op @ e0 @ e3 )
= e1 )
| ( ( op @ e0 @ e2 )
= e1 )
| ( ( op @ e0 @ e1 )
= e1 )
| ( ( op @ e0 @ e0 )
= e1 ) )
=> zip_tseitin_29 ) ).
thf(zf_stmt_50,type,
zip_tseitin_28: $o ).
thf(zf_stmt_51,axiom,
( ( ( ( op @ e3 @ e0 )
= e1 )
| ( ( op @ e2 @ e0 )
= e1 )
| ( ( op @ e1 @ e0 )
= e1 )
| ( ( op @ e0 @ e0 )
= e1 ) )
=> zip_tseitin_28 ) ).
thf(zf_stmt_52,type,
zip_tseitin_27: $o ).
thf(zf_stmt_53,axiom,
( ( ( ( op @ e0 @ e3 )
= e2 )
| ( ( op @ e0 @ e2 )
= e2 )
| ( ( op @ e0 @ e1 )
= e2 )
| ( ( op @ e0 @ e0 )
= e2 ) )
=> zip_tseitin_27 ) ).
thf(zf_stmt_54,type,
zip_tseitin_26: $o ).
thf(zf_stmt_55,axiom,
( ( ( ( op @ e3 @ e0 )
= e2 )
| ( ( op @ e2 @ e0 )
= e2 )
| ( ( op @ e1 @ e0 )
= e2 )
| ( ( op @ e0 @ e0 )
= e2 ) )
=> zip_tseitin_26 ) ).
thf(zf_stmt_56,type,
zip_tseitin_25: $o ).
thf(zf_stmt_57,axiom,
( ( ( ( op @ e0 @ e3 )
= e3 )
| ( ( op @ e0 @ e2 )
= e3 )
| ( ( op @ e0 @ e1 )
= e3 )
| ( ( op @ e0 @ e0 )
= e3 ) )
=> zip_tseitin_25 ) ).
thf(zf_stmt_58,type,
zip_tseitin_24: $o ).
thf(zf_stmt_59,axiom,
( ( ( ( op @ e3 @ e0 )
= e3 )
| ( ( op @ e2 @ e0 )
= e3 )
| ( ( op @ e1 @ e0 )
= e3 )
| ( ( op @ e0 @ e0 )
= e3 ) )
=> zip_tseitin_24 ) ).
thf(zf_stmt_60,type,
zip_tseitin_23: $o ).
thf(zf_stmt_61,axiom,
( ( ( ( op @ e1 @ e3 )
= e0 )
| ( ( op @ e1 @ e2 )
= e0 )
| ( ( op @ e1 @ e1 )
= e0 )
| ( ( op @ e1 @ e0 )
= e0 ) )
=> zip_tseitin_23 ) ).
thf(zf_stmt_62,type,
zip_tseitin_22: $o ).
thf(zf_stmt_63,axiom,
( ( ( ( op @ e3 @ e1 )
= e0 )
| ( ( op @ e2 @ e1 )
= e0 )
| ( ( op @ e1 @ e1 )
= e0 )
| ( ( op @ e0 @ e1 )
= e0 ) )
=> zip_tseitin_22 ) ).
thf(zf_stmt_64,type,
zip_tseitin_21: $o ).
thf(zf_stmt_65,axiom,
( ( ( ( op @ e1 @ e3 )
= e1 )
| ( ( op @ e1 @ e2 )
= e1 )
| ( ( op @ e1 @ e1 )
= e1 )
| ( ( op @ e1 @ e0 )
= e1 ) )
=> zip_tseitin_21 ) ).
thf(zf_stmt_66,type,
zip_tseitin_20: $o ).
thf(zf_stmt_67,axiom,
( ( ( ( op @ e3 @ e1 )
= e1 )
| ( ( op @ e2 @ e1 )
= e1 )
| ( ( op @ e1 @ e1 )
= e1 )
| ( ( op @ e0 @ e1 )
= e1 ) )
=> zip_tseitin_20 ) ).
thf(zf_stmt_68,type,
zip_tseitin_19: $o ).
thf(zf_stmt_69,axiom,
( ( ( ( op @ e1 @ e3 )
= e2 )
| ( ( op @ e1 @ e2 )
= e2 )
| ( ( op @ e1 @ e1 )
= e2 )
| ( ( op @ e1 @ e0 )
= e2 ) )
=> zip_tseitin_19 ) ).
thf(zf_stmt_70,type,
zip_tseitin_18: $o ).
thf(zf_stmt_71,axiom,
( ( ( ( op @ e3 @ e1 )
= e2 )
| ( ( op @ e2 @ e1 )
= e2 )
| ( ( op @ e1 @ e1 )
= e2 )
| ( ( op @ e0 @ e1 )
= e2 ) )
=> zip_tseitin_18 ) ).
thf(zf_stmt_72,type,
zip_tseitin_17: $o ).
thf(zf_stmt_73,axiom,
( ( ( ( op @ e1 @ e3 )
= e3 )
| ( ( op @ e1 @ e2 )
= e3 )
| ( ( op @ e1 @ e1 )
= e3 )
| ( ( op @ e1 @ e0 )
= e3 ) )
=> zip_tseitin_17 ) ).
thf(zf_stmt_74,type,
zip_tseitin_16: $o ).
thf(zf_stmt_75,axiom,
( ( ( ( op @ e3 @ e1 )
= e3 )
| ( ( op @ e2 @ e1 )
= e3 )
| ( ( op @ e1 @ e1 )
= e3 )
| ( ( op @ e0 @ e1 )
= e3 ) )
=> zip_tseitin_16 ) ).
thf(zf_stmt_76,type,
zip_tseitin_15: $o ).
thf(zf_stmt_77,axiom,
( ( ( ( op @ e2 @ e3 )
= e0 )
| ( ( op @ e2 @ e2 )
= e0 )
| ( ( op @ e2 @ e1 )
= e0 )
| ( ( op @ e2 @ e0 )
= e0 ) )
=> zip_tseitin_15 ) ).
thf(zf_stmt_78,type,
zip_tseitin_14: $o ).
thf(zf_stmt_79,axiom,
( ( ( ( op @ e3 @ e2 )
= e0 )
| ( ( op @ e2 @ e2 )
= e0 )
| ( ( op @ e1 @ e2 )
= e0 )
| ( ( op @ e0 @ e2 )
= e0 ) )
=> zip_tseitin_14 ) ).
thf(zf_stmt_80,type,
zip_tseitin_13: $o ).
thf(zf_stmt_81,axiom,
( ( ( ( op @ e2 @ e3 )
= e1 )
| ( ( op @ e2 @ e2 )
= e1 )
| ( ( op @ e2 @ e1 )
= e1 )
| ( ( op @ e2 @ e0 )
= e1 ) )
=> zip_tseitin_13 ) ).
thf(zf_stmt_82,type,
zip_tseitin_12: $o ).
thf(zf_stmt_83,axiom,
( ( ( ( op @ e3 @ e2 )
= e1 )
| ( ( op @ e2 @ e2 )
= e1 )
| ( ( op @ e1 @ e2 )
= e1 )
| ( ( op @ e0 @ e2 )
= e1 ) )
=> zip_tseitin_12 ) ).
thf(zf_stmt_84,type,
zip_tseitin_11: $o ).
thf(zf_stmt_85,axiom,
( ( ( ( op @ e2 @ e3 )
= e2 )
| ( ( op @ e2 @ e2 )
= e2 )
| ( ( op @ e2 @ e1 )
= e2 )
| ( ( op @ e2 @ e0 )
= e2 ) )
=> zip_tseitin_11 ) ).
thf(zf_stmt_86,type,
zip_tseitin_10: $o ).
thf(zf_stmt_87,axiom,
( ( ( ( op @ e3 @ e2 )
= e2 )
| ( ( op @ e2 @ e2 )
= e2 )
| ( ( op @ e1 @ e2 )
= e2 )
| ( ( op @ e0 @ e2 )
= e2 ) )
=> zip_tseitin_10 ) ).
thf(zf_stmt_88,type,
zip_tseitin_9: $o ).
thf(zf_stmt_89,axiom,
( ( ( ( op @ e2 @ e3 )
= e3 )
| ( ( op @ e2 @ e2 )
= e3 )
| ( ( op @ e2 @ e1 )
= e3 )
| ( ( op @ e2 @ e0 )
= e3 ) )
=> zip_tseitin_9 ) ).
thf(zf_stmt_90,type,
zip_tseitin_8: $o ).
thf(zf_stmt_91,axiom,
( ( ( ( op @ e3 @ e2 )
= e3 )
| ( ( op @ e2 @ e2 )
= e3 )
| ( ( op @ e1 @ e2 )
= e3 )
| ( ( op @ e0 @ e2 )
= e3 ) )
=> zip_tseitin_8 ) ).
thf(zf_stmt_92,type,
zip_tseitin_7: $o ).
thf(zf_stmt_93,axiom,
( ( ( ( op @ e3 @ e3 )
= e0 )
| ( ( op @ e3 @ e2 )
= e0 )
| ( ( op @ e3 @ e1 )
= e0 )
| ( ( op @ e3 @ e0 )
= e0 ) )
=> zip_tseitin_7 ) ).
thf(zf_stmt_94,type,
zip_tseitin_6: $o ).
thf(zf_stmt_95,axiom,
( ( ( ( op @ e3 @ e3 )
= e0 )
| ( ( op @ e2 @ e3 )
= e0 )
| ( ( op @ e1 @ e3 )
= e0 )
| ( ( op @ e0 @ e3 )
= e0 ) )
=> zip_tseitin_6 ) ).
thf(zf_stmt_96,type,
zip_tseitin_5: $o ).
thf(zf_stmt_97,axiom,
( ( ( ( op @ e3 @ e3 )
= e1 )
| ( ( op @ e3 @ e2 )
= e1 )
| ( ( op @ e3 @ e1 )
= e1 )
| ( ( op @ e3 @ e0 )
= e1 ) )
=> zip_tseitin_5 ) ).
thf(zf_stmt_98,type,
zip_tseitin_4: $o ).
thf(zf_stmt_99,axiom,
( ( ( ( op @ e3 @ e3 )
= e1 )
| ( ( op @ e2 @ e3 )
= e1 )
| ( ( op @ e1 @ e3 )
= e1 )
| ( ( op @ e0 @ e3 )
= e1 ) )
=> zip_tseitin_4 ) ).
thf(zf_stmt_100,type,
zip_tseitin_3: $o ).
thf(zf_stmt_101,axiom,
( ( ( ( op @ e3 @ e3 )
= e2 )
| ( ( op @ e3 @ e2 )
= e2 )
| ( ( op @ e3 @ e1 )
= e2 )
| ( ( op @ e3 @ e0 )
= e2 ) )
=> zip_tseitin_3 ) ).
thf(zf_stmt_102,type,
zip_tseitin_2: $o ).
thf(zf_stmt_103,axiom,
( ( ( ( op @ e3 @ e3 )
= e2 )
| ( ( op @ e2 @ e3 )
= e2 )
| ( ( op @ e1 @ e3 )
= e2 )
| ( ( op @ e0 @ e3 )
= e2 ) )
=> zip_tseitin_2 ) ).
thf(zf_stmt_104,type,
zip_tseitin_1: $o ).
thf(zf_stmt_105,axiom,
( ( ( ( op @ e3 @ e3 )
= e3 )
| ( ( op @ e3 @ e2 )
= e3 )
| ( ( op @ e3 @ e1 )
= e3 )
| ( ( op @ e3 @ e0 )
= e3 ) )
=> zip_tseitin_1 ) ).
thf(zf_stmt_106,type,
zip_tseitin_0: $o ).
thf(zf_stmt_107,axiom,
( ( ( ( op @ e3 @ e3 )
= e3 )
| ( ( op @ e2 @ e3 )
= e3 )
| ( ( op @ e1 @ e3 )
= e3 )
| ( ( op @ e0 @ e3 )
= e3 ) )
=> zip_tseitin_0 ) ).
thf(zf_stmt_108,conjecture,
( ~ zip_tseitin_53
& zip_tseitin_48
& zip_tseitin_47
& zip_tseitin_46
& zip_tseitin_45
& zip_tseitin_44
& zip_tseitin_43
& zip_tseitin_42
& zip_tseitin_41
& zip_tseitin_40
& zip_tseitin_39
& zip_tseitin_38
& zip_tseitin_37
& zip_tseitin_36
& zip_tseitin_35
& zip_tseitin_34
& zip_tseitin_33
& ( ( op @ unit @ e0 )
= e0 )
& ( ( op @ e0 @ unit )
= e0 )
& ( ( op @ unit @ e1 )
= e1 )
& ( ( op @ e1 @ unit )
= e1 )
& ( ( op @ unit @ e2 )
= e2 )
& ( ( op @ e2 @ unit )
= e2 )
& ( ( op @ unit @ e3 )
= e3 )
& ( ( op @ e3 @ unit )
= e3 )
& zip_tseitin_32
& zip_tseitin_31
& zip_tseitin_30
& zip_tseitin_29
& zip_tseitin_28
& zip_tseitin_27
& zip_tseitin_26
& zip_tseitin_25
& zip_tseitin_24
& zip_tseitin_23
& zip_tseitin_22
& zip_tseitin_21
& zip_tseitin_20
& zip_tseitin_19
& zip_tseitin_18
& zip_tseitin_17
& zip_tseitin_16
& zip_tseitin_15
& zip_tseitin_14
& zip_tseitin_13
& zip_tseitin_12
& zip_tseitin_11
& zip_tseitin_10
& zip_tseitin_9
& zip_tseitin_8
& zip_tseitin_7
& zip_tseitin_6
& zip_tseitin_5
& zip_tseitin_4
& zip_tseitin_3
& zip_tseitin_2
& zip_tseitin_1
& zip_tseitin_0 ) ).
thf(zf_stmt_109,negated_conjecture,
~ ( ~ zip_tseitin_53
& zip_tseitin_48
& zip_tseitin_47
& zip_tseitin_46
& zip_tseitin_45
& zip_tseitin_44
& zip_tseitin_43
& zip_tseitin_42
& zip_tseitin_41
& zip_tseitin_40
& zip_tseitin_39
& zip_tseitin_38
& zip_tseitin_37
& zip_tseitin_36
& zip_tseitin_35
& zip_tseitin_34
& zip_tseitin_33
& ( ( op @ unit @ e0 )
= e0 )
& ( ( op @ e0 @ unit )
= e0 )
& ( ( op @ unit @ e1 )
= e1 )
& ( ( op @ e1 @ unit )
= e1 )
& ( ( op @ unit @ e2 )
= e2 )
& ( ( op @ e2 @ unit )
= e2 )
& ( ( op @ unit @ e3 )
= e3 )
& ( ( op @ e3 @ unit )
= e3 )
& zip_tseitin_32
& zip_tseitin_31
& zip_tseitin_30
& zip_tseitin_29
& zip_tseitin_28
& zip_tseitin_27
& zip_tseitin_26
& zip_tseitin_25
& zip_tseitin_24
& zip_tseitin_23
& zip_tseitin_22
& zip_tseitin_21
& zip_tseitin_20
& zip_tseitin_19
& zip_tseitin_18
& zip_tseitin_17
& zip_tseitin_16
& zip_tseitin_15
& zip_tseitin_14
& zip_tseitin_13
& zip_tseitin_12
& zip_tseitin_11
& zip_tseitin_10
& zip_tseitin_9
& zip_tseitin_8
& zip_tseitin_7
& zip_tseitin_6
& zip_tseitin_5
& zip_tseitin_4
& zip_tseitin_3
& zip_tseitin_2
& zip_tseitin_1
& zip_tseitin_0 ),
inference('cnf.neg',[status(esa)],[zf_stmt_108]) ).
thf(zip_derived_cl236,plain,
( zip_tseitin_53
| ~ zip_tseitin_48
| ~ zip_tseitin_47
| ~ zip_tseitin_46
| ~ zip_tseitin_45
| ~ zip_tseitin_44
| ~ zip_tseitin_43
| ~ zip_tseitin_42
| ~ zip_tseitin_41
| ~ zip_tseitin_40
| ~ zip_tseitin_39
| ~ zip_tseitin_38
| ~ zip_tseitin_37
| ~ zip_tseitin_36
| ~ zip_tseitin_35
| ~ zip_tseitin_34
| ~ zip_tseitin_33
| ( ( op @ unit @ e0 )
!= e0 )
| ( ( op @ e0 @ unit )
!= e0 )
| ( ( op @ unit @ e1 )
!= e1 )
| ( ( op @ e1 @ unit )
!= e1 )
| ( ( op @ unit @ e2 )
!= e2 )
| ( ( op @ e2 @ unit )
!= e2 )
| ( ( op @ unit @ e3 )
!= e3 )
| ( ( op @ e3 @ unit )
!= e3 )
| ~ zip_tseitin_32
| ~ zip_tseitin_31
| ~ zip_tseitin_30
| ~ zip_tseitin_29
| ~ zip_tseitin_28
| ~ zip_tseitin_27
| ~ zip_tseitin_26
| ~ zip_tseitin_25
| ~ zip_tseitin_24
| ~ zip_tseitin_23
| ~ zip_tseitin_22
| ~ zip_tseitin_21
| ~ zip_tseitin_20
| ~ zip_tseitin_19
| ~ zip_tseitin_18
| ~ zip_tseitin_17
| ~ zip_tseitin_16
| ~ zip_tseitin_15
| ~ zip_tseitin_14
| ~ zip_tseitin_13
| ~ zip_tseitin_12
| ~ zip_tseitin_11
| ~ zip_tseitin_10
| ~ zip_tseitin_9
| ~ zip_tseitin_8
| ~ zip_tseitin_7
| ~ zip_tseitin_6
| ~ zip_tseitin_5
| ~ zip_tseitin_4
| ~ zip_tseitin_3
| ~ zip_tseitin_2
| ~ zip_tseitin_1
| ~ zip_tseitin_0 ),
inference(cnf,[status(esa)],[zf_stmt_109]) ).
thf(zip_derived_cl218,plain,
( zip_tseitin_48
| ( ( op @ e0 @ e0 )
!= e0 ) ),
inference(cnf,[status(esa)],[zf_stmt_11]) ).
thf(zip_derived_cl21_003,plain,
( ( op @ e0 @ e0 )
= e0 ),
inference(cnf,[status(esa)],[ax2]) ).
thf(zip_derived_cl652,plain,
( zip_tseitin_48
| ( e0 != e0 ) ),
inference(demod,[status(thm)],[zip_derived_cl218,zip_derived_cl21]) ).
thf(zip_derived_cl653,plain,
zip_tseitin_48,
inference(simplify,[status(thm)],[zip_derived_cl652]) ).
thf(zip_derived_cl213,plain,
( zip_tseitin_47
| ( ( op @ e0 @ e1 )
!= e1 ) ),
inference(cnf,[status(esa)],[zf_stmt_13]) ).
thf(zip_derived_cl20,plain,
( ( op @ e0 @ e1 )
= e1 ),
inference(cnf,[status(esa)],[ax2]) ).
thf(zip_derived_cl642,plain,
( zip_tseitin_47
| ( e1 != e1 ) ),
inference(demod,[status(thm)],[zip_derived_cl213,zip_derived_cl20]) ).
thf(zip_derived_cl643,plain,
zip_tseitin_47,
inference(simplify,[status(thm)],[zip_derived_cl642]) ).
thf(zip_derived_cl208,plain,
( zip_tseitin_46
| ( ( op @ e0 @ e2 )
!= e2 ) ),
inference(cnf,[status(esa)],[zf_stmt_15]) ).
thf(zip_derived_cl19,plain,
( ( op @ e0 @ e2 )
= e2 ),
inference(cnf,[status(esa)],[ax2]) ).
thf(zip_derived_cl632,plain,
( zip_tseitin_46
| ( e2 != e2 ) ),
inference(demod,[status(thm)],[zip_derived_cl208,zip_derived_cl19]) ).
thf(zip_derived_cl633,plain,
zip_tseitin_46,
inference(simplify,[status(thm)],[zip_derived_cl632]) ).
thf(zip_derived_cl203,plain,
( zip_tseitin_45
| ( ( op @ e0 @ e3 )
!= e3 ) ),
inference(cnf,[status(esa)],[zf_stmt_17]) ).
thf(zip_derived_cl18,plain,
( ( op @ e0 @ e3 )
= e3 ),
inference(cnf,[status(esa)],[ax2]) ).
thf(zip_derived_cl622,plain,
( zip_tseitin_45
| ( e3 != e3 ) ),
inference(demod,[status(thm)],[zip_derived_cl203,zip_derived_cl18]) ).
thf(zip_derived_cl623,plain,
zip_tseitin_45,
inference(simplify,[status(thm)],[zip_derived_cl622]) ).
thf(zip_derived_cl201,plain,
( zip_tseitin_44
| ( ( op @ e1 @ e0 )
!= e1 ) ),
inference(cnf,[status(esa)],[zf_stmt_19]) ).
thf(zip_derived_cl17,plain,
( ( op @ e1 @ e0 )
= e1 ),
inference(cnf,[status(esa)],[ax2]) ).
thf(zip_derived_cl618,plain,
( zip_tseitin_44
| ( e1 != e1 ) ),
inference(demod,[status(thm)],[zip_derived_cl201,zip_derived_cl17]) ).
thf(zip_derived_cl619,plain,
zip_tseitin_44,
inference(simplify,[status(thm)],[zip_derived_cl618]) ).
thf(zip_derived_cl195,plain,
( zip_tseitin_43
| ( ( op @ e1 @ e1 )
!= e3 ) ),
inference(cnf,[status(esa)],[zf_stmt_21]) ).
thf(zip_derived_cl16_004,plain,
( ( op @ e1 @ e1 )
= e3 ),
inference(cnf,[status(esa)],[ax2]) ).
thf(zip_derived_cl606,plain,
( zip_tseitin_43
| ( e3 != e3 ) ),
inference(demod,[status(thm)],[zip_derived_cl195,zip_derived_cl16]) ).
thf(zip_derived_cl607,plain,
zip_tseitin_43,
inference(simplify,[status(thm)],[zip_derived_cl606]) ).
thf(zip_derived_cl194,plain,
( zip_tseitin_42
| ( ( op @ e1 @ e2 )
!= e0 ) ),
inference(cnf,[status(esa)],[zf_stmt_23]) ).
thf(zip_derived_cl15,plain,
( ( op @ e1 @ e2 )
= e0 ),
inference(cnf,[status(esa)],[ax2]) ).
thf(zip_derived_cl604,plain,
( zip_tseitin_42
| ( e0 != e0 ) ),
inference(demod,[status(thm)],[zip_derived_cl194,zip_derived_cl15]) ).
thf(zip_derived_cl605,plain,
zip_tseitin_42,
inference(simplify,[status(thm)],[zip_derived_cl604]) ).
thf(zip_derived_cl188,plain,
( zip_tseitin_41
| ( ( op @ e1 @ e3 )
!= e2 ) ),
inference(cnf,[status(esa)],[zf_stmt_25]) ).
thf(zip_derived_cl14,plain,
( ( op @ e1 @ e3 )
= e2 ),
inference(cnf,[status(esa)],[ax2]) ).
thf(zip_derived_cl588,plain,
( zip_tseitin_41
| ( e2 != e2 ) ),
inference(demod,[status(thm)],[zip_derived_cl188,zip_derived_cl14]) ).
thf(zip_derived_cl589,plain,
zip_tseitin_41,
inference(simplify,[status(thm)],[zip_derived_cl588]) ).
thf(zip_derived_cl184,plain,
( zip_tseitin_40
| ( ( op @ e2 @ e0 )
!= e2 ) ),
inference(cnf,[status(esa)],[zf_stmt_27]) ).
thf(zip_derived_cl13,plain,
( ( op @ e2 @ e0 )
= e2 ),
inference(cnf,[status(esa)],[ax2]) ).
thf(zip_derived_cl584,plain,
( zip_tseitin_40
| ( e2 != e2 ) ),
inference(demod,[status(thm)],[zip_derived_cl184,zip_derived_cl13]) ).
thf(zip_derived_cl585,plain,
zip_tseitin_40,
inference(simplify,[status(thm)],[zip_derived_cl584]) ).
thf(zip_derived_cl182,plain,
( zip_tseitin_39
| ( ( op @ e2 @ e1 )
!= e0 ) ),
inference(cnf,[status(esa)],[zf_stmt_29]) ).
thf(zip_derived_cl12,plain,
( ( op @ e2 @ e1 )
= e0 ),
inference(cnf,[status(esa)],[ax2]) ).
thf(zip_derived_cl580,plain,
( zip_tseitin_39
| ( e0 != e0 ) ),
inference(demod,[status(thm)],[zip_derived_cl182,zip_derived_cl12]) ).
thf(zip_derived_cl581,plain,
zip_tseitin_39,
inference(simplify,[status(thm)],[zip_derived_cl580]) ).
thf(zip_derived_cl175,plain,
( zip_tseitin_38
| ( ( op @ e2 @ e2 )
!= e3 ) ),
inference(cnf,[status(esa)],[zf_stmt_31]) ).
thf(zip_derived_cl11,plain,
( ( op @ e2 @ e2 )
= e3 ),
inference(cnf,[status(esa)],[ax2]) ).
thf(zip_derived_cl566,plain,
( zip_tseitin_38
| ( e3 != e3 ) ),
inference(demod,[status(thm)],[zip_derived_cl175,zip_derived_cl11]) ).
thf(zip_derived_cl567,plain,
zip_tseitin_38,
inference(simplify,[status(thm)],[zip_derived_cl566]) ).
thf(zip_derived_cl173,plain,
( zip_tseitin_37
| ( ( op @ e2 @ e3 )
!= e1 ) ),
inference(cnf,[status(esa)],[zf_stmt_33]) ).
thf(zip_derived_cl10,plain,
( ( op @ e2 @ e3 )
= e1 ),
inference(cnf,[status(esa)],[ax2]) ).
thf(zip_derived_cl562,plain,
( zip_tseitin_37
| ( e1 != e1 ) ),
inference(demod,[status(thm)],[zip_derived_cl173,zip_derived_cl10]) ).
thf(zip_derived_cl563,plain,
zip_tseitin_37,
inference(simplify,[status(thm)],[zip_derived_cl562]) ).
thf(zip_derived_cl167,plain,
( zip_tseitin_36
| ( ( op @ e3 @ e0 )
!= e3 ) ),
inference(cnf,[status(esa)],[zf_stmt_35]) ).
thf(zip_derived_cl9,plain,
( ( op @ e3 @ e0 )
= e3 ),
inference(cnf,[status(esa)],[ax2]) ).
thf(zip_derived_cl550,plain,
( zip_tseitin_36
| ( e3 != e3 ) ),
inference(demod,[status(thm)],[zip_derived_cl167,zip_derived_cl9]) ).
thf(zip_derived_cl551,plain,
zip_tseitin_36,
inference(simplify,[status(thm)],[zip_derived_cl550]) ).
thf(zip_derived_cl164,plain,
( zip_tseitin_35
| ( ( op @ e3 @ e1 )
!= e2 ) ),
inference(cnf,[status(esa)],[zf_stmt_37]) ).
thf(zip_derived_cl8,plain,
( ( op @ e3 @ e1 )
= e2 ),
inference(cnf,[status(esa)],[ax2]) ).
thf(zip_derived_cl542,plain,
( zip_tseitin_35
| ( e2 != e2 ) ),
inference(demod,[status(thm)],[zip_derived_cl164,zip_derived_cl8]) ).
thf(zip_derived_cl543,plain,
zip_tseitin_35,
inference(simplify,[status(thm)],[zip_derived_cl542]) ).
thf(zip_derived_cl161,plain,
( zip_tseitin_34
| ( ( op @ e3 @ e2 )
!= e1 ) ),
inference(cnf,[status(esa)],[zf_stmt_39]) ).
thf(zip_derived_cl7,plain,
( ( op @ e3 @ e2 )
= e1 ),
inference(cnf,[status(esa)],[ax2]) ).
thf(zip_derived_cl538,plain,
( zip_tseitin_34
| ( e1 != e1 ) ),
inference(demod,[status(thm)],[zip_derived_cl161,zip_derived_cl7]) ).
thf(zip_derived_cl539,plain,
zip_tseitin_34,
inference(simplify,[status(thm)],[zip_derived_cl538]) ).
thf(zip_derived_cl158,plain,
( zip_tseitin_33
| ( ( op @ e3 @ e3 )
!= e0 ) ),
inference(cnf,[status(esa)],[zf_stmt_41]) ).
thf(zip_derived_cl6,plain,
( ( op @ e3 @ e3 )
= e0 ),
inference(cnf,[status(esa)],[ax2]) ).
thf(zip_derived_cl532,plain,
( zip_tseitin_33
| ( e0 != e0 ) ),
inference(demod,[status(thm)],[zip_derived_cl158,zip_derived_cl6]) ).
thf(zip_derived_cl533,plain,
zip_tseitin_33,
inference(simplify,[status(thm)],[zip_derived_cl532]) ).
thf(ax3,axiom,
unit = e0 ).
thf(zip_derived_cl22,plain,
unit = e0,
inference(cnf,[status(esa)],[ax3]) ).
thf(zip_derived_cl21_005,plain,
( ( op @ e0 @ e0 )
= e0 ),
inference(cnf,[status(esa)],[ax2]) ).
thf(zip_derived_cl22_006,plain,
unit = e0,
inference(cnf,[status(esa)],[ax3]) ).
thf(zip_derived_cl21_007,plain,
( ( op @ e0 @ e0 )
= e0 ),
inference(cnf,[status(esa)],[ax2]) ).
thf(zip_derived_cl22_008,plain,
unit = e0,
inference(cnf,[status(esa)],[ax3]) ).
thf(zip_derived_cl20_009,plain,
( ( op @ e0 @ e1 )
= e1 ),
inference(cnf,[status(esa)],[ax2]) ).
thf(zip_derived_cl22_010,plain,
unit = e0,
inference(cnf,[status(esa)],[ax3]) ).
thf(zip_derived_cl17_011,plain,
( ( op @ e1 @ e0 )
= e1 ),
inference(cnf,[status(esa)],[ax2]) ).
thf(zip_derived_cl22_012,plain,
unit = e0,
inference(cnf,[status(esa)],[ax3]) ).
thf(zip_derived_cl19_013,plain,
( ( op @ e0 @ e2 )
= e2 ),
inference(cnf,[status(esa)],[ax2]) ).
thf(zip_derived_cl22_014,plain,
unit = e0,
inference(cnf,[status(esa)],[ax3]) ).
thf(zip_derived_cl13_015,plain,
( ( op @ e2 @ e0 )
= e2 ),
inference(cnf,[status(esa)],[ax2]) ).
thf(zip_derived_cl22_016,plain,
unit = e0,
inference(cnf,[status(esa)],[ax3]) ).
thf(zip_derived_cl18_017,plain,
( ( op @ e0 @ e3 )
= e3 ),
inference(cnf,[status(esa)],[ax2]) ).
thf(zip_derived_cl22_018,plain,
unit = e0,
inference(cnf,[status(esa)],[ax3]) ).
thf(zip_derived_cl9_019,plain,
( ( op @ e3 @ e0 )
= e3 ),
inference(cnf,[status(esa)],[ax2]) ).
thf(zip_derived_cl154,plain,
( zip_tseitin_32
| ( unit != e0 ) ),
inference(cnf,[status(esa)],[zf_stmt_43]) ).
thf(zip_derived_cl22_020,plain,
unit = e0,
inference(cnf,[status(esa)],[ax3]) ).
thf(zip_derived_cl240,plain,
( zip_tseitin_32
| ( e0 != e0 ) ),
inference(demod,[status(thm)],[zip_derived_cl154,zip_derived_cl22]) ).
thf(zip_derived_cl241,plain,
zip_tseitin_32,
inference(simplify,[status(thm)],[zip_derived_cl240]) ).
thf(zip_derived_cl150,plain,
( zip_tseitin_31
| ( ( op @ e0 @ e0 )
!= e0 ) ),
inference(cnf,[status(esa)],[zf_stmt_45]) ).
thf(zip_derived_cl21_021,plain,
( ( op @ e0 @ e0 )
= e0 ),
inference(cnf,[status(esa)],[ax2]) ).
thf(zip_derived_cl524,plain,
( zip_tseitin_31
| ( e0 != e0 ) ),
inference(demod,[status(thm)],[zip_derived_cl150,zip_derived_cl21]) ).
thf(zip_derived_cl525,plain,
zip_tseitin_31,
inference(simplify,[status(thm)],[zip_derived_cl524]) ).
thf(zip_derived_cl146,plain,
( zip_tseitin_30
| ( ( op @ e0 @ e0 )
!= e0 ) ),
inference(cnf,[status(esa)],[zf_stmt_47]) ).
thf(zip_derived_cl21_022,plain,
( ( op @ e0 @ e0 )
= e0 ),
inference(cnf,[status(esa)],[ax2]) ).
thf(zip_derived_cl516,plain,
( zip_tseitin_30
| ( e0 != e0 ) ),
inference(demod,[status(thm)],[zip_derived_cl146,zip_derived_cl21]) ).
thf(zip_derived_cl517,plain,
zip_tseitin_30,
inference(simplify,[status(thm)],[zip_derived_cl516]) ).
thf(zip_derived_cl141,plain,
( zip_tseitin_29
| ( ( op @ e0 @ e1 )
!= e1 ) ),
inference(cnf,[status(esa)],[zf_stmt_49]) ).
thf(zip_derived_cl20_023,plain,
( ( op @ e0 @ e1 )
= e1 ),
inference(cnf,[status(esa)],[ax2]) ).
thf(zip_derived_cl506,plain,
( zip_tseitin_29
| ( e1 != e1 ) ),
inference(demod,[status(thm)],[zip_derived_cl141,zip_derived_cl20]) ).
thf(zip_derived_cl507,plain,
zip_tseitin_29,
inference(simplify,[status(thm)],[zip_derived_cl506]) ).
thf(zip_derived_cl137,plain,
( zip_tseitin_28
| ( ( op @ e1 @ e0 )
!= e1 ) ),
inference(cnf,[status(esa)],[zf_stmt_51]) ).
thf(zip_derived_cl17_024,plain,
( ( op @ e1 @ e0 )
= e1 ),
inference(cnf,[status(esa)],[ax2]) ).
thf(zip_derived_cl500,plain,
( zip_tseitin_28
| ( e1 != e1 ) ),
inference(demod,[status(thm)],[zip_derived_cl137,zip_derived_cl17]) ).
thf(zip_derived_cl501,plain,
zip_tseitin_28,
inference(simplify,[status(thm)],[zip_derived_cl500]) ).
thf(zip_derived_cl132,plain,
( zip_tseitin_27
| ( ( op @ e0 @ e2 )
!= e2 ) ),
inference(cnf,[status(esa)],[zf_stmt_53]) ).
thf(zip_derived_cl19_025,plain,
( ( op @ e0 @ e2 )
= e2 ),
inference(cnf,[status(esa)],[ax2]) ).
thf(zip_derived_cl488,plain,
( zip_tseitin_27
| ( e2 != e2 ) ),
inference(demod,[status(thm)],[zip_derived_cl132,zip_derived_cl19]) ).
thf(zip_derived_cl489,plain,
zip_tseitin_27,
inference(simplify,[status(thm)],[zip_derived_cl488]) ).
thf(zip_derived_cl128,plain,
( zip_tseitin_26
| ( ( op @ e2 @ e0 )
!= e2 ) ),
inference(cnf,[status(esa)],[zf_stmt_55]) ).
thf(zip_derived_cl13_026,plain,
( ( op @ e2 @ e0 )
= e2 ),
inference(cnf,[status(esa)],[ax2]) ).
thf(zip_derived_cl480,plain,
( zip_tseitin_26
| ( e2 != e2 ) ),
inference(demod,[status(thm)],[zip_derived_cl128,zip_derived_cl13]) ).
thf(zip_derived_cl481,plain,
zip_tseitin_26,
inference(simplify,[status(thm)],[zip_derived_cl480]) ).
thf(zip_derived_cl123,plain,
( zip_tseitin_25
| ( ( op @ e0 @ e3 )
!= e3 ) ),
inference(cnf,[status(esa)],[zf_stmt_57]) ).
thf(zip_derived_cl18_027,plain,
( ( op @ e0 @ e3 )
= e3 ),
inference(cnf,[status(esa)],[ax2]) ).
thf(zip_derived_cl470,plain,
( zip_tseitin_25
| ( e3 != e3 ) ),
inference(demod,[status(thm)],[zip_derived_cl123,zip_derived_cl18]) ).
thf(zip_derived_cl471,plain,
zip_tseitin_25,
inference(simplify,[status(thm)],[zip_derived_cl470]) ).
thf(zip_derived_cl119,plain,
( zip_tseitin_24
| ( ( op @ e3 @ e0 )
!= e3 ) ),
inference(cnf,[status(esa)],[zf_stmt_59]) ).
thf(zip_derived_cl9_028,plain,
( ( op @ e3 @ e0 )
= e3 ),
inference(cnf,[status(esa)],[ax2]) ).
thf(zip_derived_cl462,plain,
( zip_tseitin_24
| ( e3 != e3 ) ),
inference(demod,[status(thm)],[zip_derived_cl119,zip_derived_cl9]) ).
thf(zip_derived_cl463,plain,
zip_tseitin_24,
inference(simplify,[status(thm)],[zip_derived_cl462]) ).
thf(zip_derived_cl116,plain,
( zip_tseitin_23
| ( ( op @ e1 @ e2 )
!= e0 ) ),
inference(cnf,[status(esa)],[zf_stmt_61]) ).
thf(zip_derived_cl15_029,plain,
( ( op @ e1 @ e2 )
= e0 ),
inference(cnf,[status(esa)],[ax2]) ).
thf(zip_derived_cl449,plain,
( zip_tseitin_23
| ( e0 != e0 ) ),
inference(demod,[status(thm)],[zip_derived_cl116,zip_derived_cl15]) ).
thf(zip_derived_cl450,plain,
zip_tseitin_23,
inference(simplify,[status(thm)],[zip_derived_cl449]) ).
thf(zip_derived_cl112,plain,
( zip_tseitin_22
| ( ( op @ e2 @ e1 )
!= e0 ) ),
inference(cnf,[status(esa)],[zf_stmt_63]) ).
thf(zip_derived_cl12_030,plain,
( ( op @ e2 @ e1 )
= e0 ),
inference(cnf,[status(esa)],[ax2]) ).
thf(zip_derived_cl445,plain,
( zip_tseitin_22
| ( e0 != e0 ) ),
inference(demod,[status(thm)],[zip_derived_cl112,zip_derived_cl12]) ).
thf(zip_derived_cl446,plain,
zip_tseitin_22,
inference(simplify,[status(thm)],[zip_derived_cl445]) ).
thf(zip_derived_cl110,plain,
( zip_tseitin_21
| ( ( op @ e1 @ e0 )
!= e1 ) ),
inference(cnf,[status(esa)],[zf_stmt_65]) ).
thf(zip_derived_cl17_031,plain,
( ( op @ e1 @ e0 )
= e1 ),
inference(cnf,[status(esa)],[ax2]) ).
thf(zip_derived_cl452,plain,
( zip_tseitin_21
| ( e1 != e1 ) ),
inference(demod,[status(thm)],[zip_derived_cl110,zip_derived_cl17]) ).
thf(zip_derived_cl453,plain,
zip_tseitin_21,
inference(simplify,[status(thm)],[zip_derived_cl452]) ).
thf(zip_derived_cl106,plain,
( zip_tseitin_20
| ( ( op @ e0 @ e1 )
!= e1 ) ),
inference(cnf,[status(esa)],[zf_stmt_67]) ).
thf(zip_derived_cl20_032,plain,
( ( op @ e0 @ e1 )
= e1 ),
inference(cnf,[status(esa)],[ax2]) ).
thf(zip_derived_cl435,plain,
( zip_tseitin_20
| ( e1 != e1 ) ),
inference(demod,[status(thm)],[zip_derived_cl106,zip_derived_cl20]) ).
thf(zip_derived_cl436,plain,
zip_tseitin_20,
inference(simplify,[status(thm)],[zip_derived_cl435]) ).
thf(zip_derived_cl99,plain,
( zip_tseitin_19
| ( ( op @ e1 @ e3 )
!= e2 ) ),
inference(cnf,[status(esa)],[zf_stmt_69]) ).
thf(zip_derived_cl14_033,plain,
( ( op @ e1 @ e3 )
= e2 ),
inference(cnf,[status(esa)],[ax2]) ).
thf(zip_derived_cl421,plain,
( zip_tseitin_19
| ( e2 != e2 ) ),
inference(demod,[status(thm)],[zip_derived_cl99,zip_derived_cl14]) ).
thf(zip_derived_cl422,plain,
zip_tseitin_19,
inference(simplify,[status(thm)],[zip_derived_cl421]) ).
thf(zip_derived_cl95,plain,
( zip_tseitin_18
| ( ( op @ e3 @ e1 )
!= e2 ) ),
inference(cnf,[status(esa)],[zf_stmt_71]) ).
thf(zip_derived_cl8_034,plain,
( ( op @ e3 @ e1 )
= e2 ),
inference(cnf,[status(esa)],[ax2]) ).
thf(zip_derived_cl405,plain,
( zip_tseitin_18
| ( e2 != e2 ) ),
inference(demod,[status(thm)],[zip_derived_cl95,zip_derived_cl8]) ).
thf(zip_derived_cl406,plain,
zip_tseitin_18,
inference(simplify,[status(thm)],[zip_derived_cl405]) ).
thf(zip_derived_cl93,plain,
( zip_tseitin_17
| ( ( op @ e1 @ e1 )
!= e3 ) ),
inference(cnf,[status(esa)],[zf_stmt_73]) ).
thf(zip_derived_cl16_035,plain,
( ( op @ e1 @ e1 )
= e3 ),
inference(cnf,[status(esa)],[ax2]) ).
thf(zip_derived_cl415,plain,
( zip_tseitin_17
| ( e3 != e3 ) ),
inference(demod,[status(thm)],[zip_derived_cl93,zip_derived_cl16]) ).
thf(zip_derived_cl416,plain,
zip_tseitin_17,
inference(simplify,[status(thm)],[zip_derived_cl415]) ).
thf(zip_derived_cl89,plain,
( zip_tseitin_16
| ( ( op @ e1 @ e1 )
!= e3 ) ),
inference(cnf,[status(esa)],[zf_stmt_75]) ).
thf(zip_derived_cl16_036,plain,
( ( op @ e1 @ e1 )
= e3 ),
inference(cnf,[status(esa)],[ax2]) ).
thf(zip_derived_cl397,plain,
( zip_tseitin_16
| ( e3 != e3 ) ),
inference(demod,[status(thm)],[zip_derived_cl89,zip_derived_cl16]) ).
thf(zip_derived_cl398,plain,
zip_tseitin_16,
inference(simplify,[status(thm)],[zip_derived_cl397]) ).
thf(zip_derived_cl85,plain,
( zip_tseitin_15
| ( ( op @ e2 @ e1 )
!= e0 ) ),
inference(cnf,[status(esa)],[zf_stmt_77]) ).
thf(zip_derived_cl12_037,plain,
( ( op @ e2 @ e1 )
= e0 ),
inference(cnf,[status(esa)],[ax2]) ).
thf(zip_derived_cl389,plain,
( zip_tseitin_15
| ( e0 != e0 ) ),
inference(demod,[status(thm)],[zip_derived_cl85,zip_derived_cl12]) ).
thf(zip_derived_cl390,plain,
zip_tseitin_15,
inference(simplify,[status(thm)],[zip_derived_cl389]) ).
thf(zip_derived_cl81,plain,
( zip_tseitin_14
| ( ( op @ e1 @ e2 )
!= e0 ) ),
inference(cnf,[status(esa)],[zf_stmt_79]) ).
thf(zip_derived_cl15_038,plain,
( ( op @ e1 @ e2 )
= e0 ),
inference(cnf,[status(esa)],[ax2]) ).
thf(zip_derived_cl381,plain,
( zip_tseitin_14
| ( e0 != e0 ) ),
inference(demod,[status(thm)],[zip_derived_cl81,zip_derived_cl15]) ).
thf(zip_derived_cl382,plain,
zip_tseitin_14,
inference(simplify,[status(thm)],[zip_derived_cl381]) ).
thf(zip_derived_cl75,plain,
( zip_tseitin_13
| ( ( op @ e2 @ e3 )
!= e1 ) ),
inference(cnf,[status(esa)],[zf_stmt_81]) ).
thf(zip_derived_cl10_039,plain,
( ( op @ e2 @ e3 )
= e1 ),
inference(cnf,[status(esa)],[ax2]) ).
thf(zip_derived_cl358,plain,
( zip_tseitin_13
| ( e1 != e1 ) ),
inference(demod,[status(thm)],[zip_derived_cl75,zip_derived_cl10]) ).
thf(zip_derived_cl359,plain,
zip_tseitin_13,
inference(simplify,[status(thm)],[zip_derived_cl358]) ).
thf(zip_derived_cl71,plain,
( zip_tseitin_12
| ( ( op @ e3 @ e2 )
!= e1 ) ),
inference(cnf,[status(esa)],[zf_stmt_83]) ).
thf(zip_derived_cl7_040,plain,
( ( op @ e3 @ e2 )
= e1 ),
inference(cnf,[status(esa)],[ax2]) ).
thf(zip_derived_cl354,plain,
( zip_tseitin_12
| ( e1 != e1 ) ),
inference(demod,[status(thm)],[zip_derived_cl71,zip_derived_cl7]) ).
thf(zip_derived_cl355,plain,
zip_tseitin_12,
inference(simplify,[status(thm)],[zip_derived_cl354]) ).
thf(zip_derived_cl70,plain,
( zip_tseitin_11
| ( ( op @ e2 @ e0 )
!= e2 ) ),
inference(cnf,[status(esa)],[zf_stmt_85]) ).
thf(zip_derived_cl13_041,plain,
( ( op @ e2 @ e0 )
= e2 ),
inference(cnf,[status(esa)],[ax2]) ).
thf(zip_derived_cl352,plain,
( zip_tseitin_11
| ( e2 != e2 ) ),
inference(demod,[status(thm)],[zip_derived_cl70,zip_derived_cl13]) ).
thf(zip_derived_cl353,plain,
zip_tseitin_11,
inference(simplify,[status(thm)],[zip_derived_cl352]) ).
thf(zip_derived_cl66,plain,
( zip_tseitin_10
| ( ( op @ e0 @ e2 )
!= e2 ) ),
inference(cnf,[status(esa)],[zf_stmt_87]) ).
thf(zip_derived_cl19_042,plain,
( ( op @ e0 @ e2 )
= e2 ),
inference(cnf,[status(esa)],[ax2]) ).
thf(zip_derived_cl344,plain,
( zip_tseitin_10
| ( e2 != e2 ) ),
inference(demod,[status(thm)],[zip_derived_cl66,zip_derived_cl19]) ).
thf(zip_derived_cl345,plain,
zip_tseitin_10,
inference(simplify,[status(thm)],[zip_derived_cl344]) ).
thf(zip_derived_cl60,plain,
( zip_tseitin_9
| ( ( op @ e2 @ e2 )
!= e3 ) ),
inference(cnf,[status(esa)],[zf_stmt_89]) ).
thf(zip_derived_cl11_043,plain,
( ( op @ e2 @ e2 )
= e3 ),
inference(cnf,[status(esa)],[ax2]) ).
thf(zip_derived_cl334,plain,
( zip_tseitin_9
| ( e3 != e3 ) ),
inference(demod,[status(thm)],[zip_derived_cl60,zip_derived_cl11]) ).
thf(zip_derived_cl335,plain,
zip_tseitin_9,
inference(simplify,[status(thm)],[zip_derived_cl334]) ).
thf(zip_derived_cl56,plain,
( zip_tseitin_8
| ( ( op @ e2 @ e2 )
!= e3 ) ),
inference(cnf,[status(esa)],[zf_stmt_91]) ).
thf(zip_derived_cl11_044,plain,
( ( op @ e2 @ e2 )
= e3 ),
inference(cnf,[status(esa)],[ax2]) ).
thf(zip_derived_cl330,plain,
( zip_tseitin_8
| ( e3 != e3 ) ),
inference(demod,[status(thm)],[zip_derived_cl56,zip_derived_cl11]) ).
thf(zip_derived_cl331,plain,
zip_tseitin_8,
inference(simplify,[status(thm)],[zip_derived_cl330]) ).
thf(zip_derived_cl51,plain,
( zip_tseitin_7
| ( ( op @ e3 @ e3 )
!= e0 ) ),
inference(cnf,[status(esa)],[zf_stmt_93]) ).
thf(zip_derived_cl6_045,plain,
( ( op @ e3 @ e3 )
= e0 ),
inference(cnf,[status(esa)],[ax2]) ).
thf(zip_derived_cl305,plain,
( zip_tseitin_7
| ( e0 != e0 ) ),
inference(demod,[status(thm)],[zip_derived_cl51,zip_derived_cl6]) ).
thf(zip_derived_cl306,plain,
zip_tseitin_7,
inference(simplify,[status(thm)],[zip_derived_cl305]) ).
thf(zip_derived_cl47,plain,
( zip_tseitin_6
| ( ( op @ e3 @ e3 )
!= e0 ) ),
inference(cnf,[status(esa)],[zf_stmt_95]) ).
thf(zip_derived_cl6_046,plain,
( ( op @ e3 @ e3 )
= e0 ),
inference(cnf,[status(esa)],[ax2]) ).
thf(zip_derived_cl297,plain,
( zip_tseitin_6
| ( e0 != e0 ) ),
inference(demod,[status(thm)],[zip_derived_cl47,zip_derived_cl6]) ).
thf(zip_derived_cl298,plain,
zip_tseitin_6,
inference(simplify,[status(thm)],[zip_derived_cl297]) ).
thf(zip_derived_cl44,plain,
( zip_tseitin_5
| ( ( op @ e3 @ e2 )
!= e1 ) ),
inference(cnf,[status(esa)],[zf_stmt_97]) ).
thf(zip_derived_cl7_047,plain,
( ( op @ e3 @ e2 )
= e1 ),
inference(cnf,[status(esa)],[ax2]) ).
thf(zip_derived_cl291,plain,
( zip_tseitin_5
| ( e1 != e1 ) ),
inference(demod,[status(thm)],[zip_derived_cl44,zip_derived_cl7]) ).
thf(zip_derived_cl292,plain,
zip_tseitin_5,
inference(simplify,[status(thm)],[zip_derived_cl291]) ).
thf(zip_derived_cl40,plain,
( zip_tseitin_4
| ( ( op @ e2 @ e3 )
!= e1 ) ),
inference(cnf,[status(esa)],[zf_stmt_99]) ).
thf(zip_derived_cl10_048,plain,
( ( op @ e2 @ e3 )
= e1 ),
inference(cnf,[status(esa)],[ax2]) ).
thf(zip_derived_cl283,plain,
( zip_tseitin_4
| ( e1 != e1 ) ),
inference(demod,[status(thm)],[zip_derived_cl40,zip_derived_cl10]) ).
thf(zip_derived_cl284,plain,
zip_tseitin_4,
inference(simplify,[status(thm)],[zip_derived_cl283]) ).
thf(zip_derived_cl37,plain,
( zip_tseitin_3
| ( ( op @ e3 @ e1 )
!= e2 ) ),
inference(cnf,[status(esa)],[zf_stmt_101]) ).
thf(zip_derived_cl8_049,plain,
( ( op @ e3 @ e1 )
= e2 ),
inference(cnf,[status(esa)],[ax2]) ).
thf(zip_derived_cl273,plain,
( zip_tseitin_3
| ( e2 != e2 ) ),
inference(demod,[status(thm)],[zip_derived_cl37,zip_derived_cl8]) ).
thf(zip_derived_cl274,plain,
zip_tseitin_3,
inference(simplify,[status(thm)],[zip_derived_cl273]) ).
thf(zip_derived_cl33,plain,
( zip_tseitin_2
| ( ( op @ e1 @ e3 )
!= e2 ) ),
inference(cnf,[status(esa)],[zf_stmt_103]) ).
thf(zip_derived_cl14_050,plain,
( ( op @ e1 @ e3 )
= e2 ),
inference(cnf,[status(esa)],[ax2]) ).
thf(zip_derived_cl266,plain,
( zip_tseitin_2
| ( e2 != e2 ) ),
inference(demod,[status(thm)],[zip_derived_cl33,zip_derived_cl14]) ).
thf(zip_derived_cl267,plain,
zip_tseitin_2,
inference(simplify,[status(thm)],[zip_derived_cl266]) ).
thf(zip_derived_cl30,plain,
( zip_tseitin_1
| ( ( op @ e3 @ e0 )
!= e3 ) ),
inference(cnf,[status(esa)],[zf_stmt_105]) ).
thf(zip_derived_cl9_051,plain,
( ( op @ e3 @ e0 )
= e3 ),
inference(cnf,[status(esa)],[ax2]) ).
thf(zip_derived_cl260,plain,
( zip_tseitin_1
| ( e3 != e3 ) ),
inference(demod,[status(thm)],[zip_derived_cl30,zip_derived_cl9]) ).
thf(zip_derived_cl261,plain,
zip_tseitin_1,
inference(simplify,[status(thm)],[zip_derived_cl260]) ).
thf(zip_derived_cl26,plain,
( zip_tseitin_0
| ( ( op @ e0 @ e3 )
!= e3 ) ),
inference(cnf,[status(esa)],[zf_stmt_107]) ).
thf(zip_derived_cl18_052,plain,
( ( op @ e0 @ e3 )
= e3 ),
inference(cnf,[status(esa)],[ax2]) ).
thf(zip_derived_cl275,plain,
( zip_tseitin_0
| ( e3 != e3 ) ),
inference(demod,[status(thm)],[zip_derived_cl26,zip_derived_cl18]) ).
thf(zip_derived_cl276,plain,
zip_tseitin_0,
inference(simplify,[status(thm)],[zip_derived_cl275]) ).
thf(zip_derived_cl654,plain,
( zip_tseitin_53
| ( e0 != e0 )
| ( e0 != e0 )
| ( e1 != e1 )
| ( e1 != e1 )
| ( e2 != e2 )
| ( e2 != e2 )
| ( e3 != e3 )
| ( e3 != e3 ) ),
inference(demod,[status(thm)],[zip_derived_cl236,zip_derived_cl653,zip_derived_cl643,zip_derived_cl633,zip_derived_cl623,zip_derived_cl619,zip_derived_cl607,zip_derived_cl605,zip_derived_cl589,zip_derived_cl585,zip_derived_cl581,zip_derived_cl567,zip_derived_cl563,zip_derived_cl551,zip_derived_cl543,zip_derived_cl539,zip_derived_cl533,zip_derived_cl22,zip_derived_cl21,zip_derived_cl22,zip_derived_cl21,zip_derived_cl22,zip_derived_cl20,zip_derived_cl22,zip_derived_cl17,zip_derived_cl22,zip_derived_cl19,zip_derived_cl22,zip_derived_cl13,zip_derived_cl22,zip_derived_cl18,zip_derived_cl22,zip_derived_cl9,zip_derived_cl241,zip_derived_cl525,zip_derived_cl517,zip_derived_cl507,zip_derived_cl501,zip_derived_cl489,zip_derived_cl481,zip_derived_cl471,zip_derived_cl463,zip_derived_cl450,zip_derived_cl446,zip_derived_cl453,zip_derived_cl436,zip_derived_cl422,zip_derived_cl406,zip_derived_cl416,zip_derived_cl398,zip_derived_cl390,zip_derived_cl382,zip_derived_cl359,zip_derived_cl355,zip_derived_cl353,zip_derived_cl345,zip_derived_cl335,zip_derived_cl331,zip_derived_cl306,zip_derived_cl298,zip_derived_cl292,zip_derived_cl284,zip_derived_cl274,zip_derived_cl267,zip_derived_cl261,zip_derived_cl276]) ).
thf(zip_derived_cl655,plain,
zip_tseitin_53,
inference(simplify,[status(thm)],[zip_derived_cl654]) ).
thf(zip_derived_cl656,plain,
zip_tseitin_52,
inference(demod,[status(thm)],[zip_derived_cl451,zip_derived_cl655]) ).
thf(zip_derived_cl657,plain,
( ( op @ e1 @ e1 )
= e0 ),
inference(demod,[status(thm)],[zip_derived_cl232,zip_derived_cl656]) ).
thf(zip_derived_cl659,plain,
e0 = e3,
inference(demod,[status(thm)],[zip_derived_cl16,zip_derived_cl657]) ).
thf(zip_derived_cl3_053,plain,
e0 != e3,
inference(cnf,[status(esa)],[ax1]) ).
thf(zip_derived_cl660,plain,
$false,
inference('simplify_reflect-',[status(thm)],[zip_derived_cl659,zip_derived_cl3]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.08/0.13 % Problem : ALG044+1 : TPTP v9.2.0. Released v2.7.0.
% 0.08/0.14 % Command : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.kIVu5etSaO true
% 0.15/0.35 % Computer : n012.cluster.edu
% 0.15/0.35 % Model : x86_64 x86_64
% 0.15/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.35 % Memory : 8042.1875MB
% 0.15/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.15/0.35 % CPULimit : 300
% 0.15/0.35 % WCLimit : 300
% 0.15/0.35 % DateTime : Wed Oct 1 17:00:23 EDT 2025
% 0.15/0.36 % CPUTime :
% 0.15/0.36 % Running portfolio for 300 s
% 0.15/0.36 % File : /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.15/0.36 % Number of cores: 8
% 0.15/0.36 % Python version: Python 3.6.8
% 0.15/0.36 % Running in FO mode
% 0.57/0.70 % Total configuration time : 435
% 0.57/0.70 % Estimated wc time : 1092
% 0.57/0.70 % Estimated cpu time (7 cpus) : 156.0
% 0.59/0.77 % /export/starexec/sandbox2/solver/bin/fo/fo3_bce.sh running for 75s
% 0.59/0.77 % /export/starexec/sandbox2/solver/bin/fo/fo1_av.sh running for 75s
% 0.59/0.77 % /export/starexec/sandbox2/solver/bin/fo/fo6_bce.sh running for 75s
% 0.59/0.77 % /export/starexec/sandbox2/solver/bin/fo/fo7.sh running for 63s
% 0.61/0.78 % /export/starexec/sandbox2/solver/bin/fo/fo13.sh running for 50s
% 0.61/0.78 % /export/starexec/sandbox2/solver/bin/fo/fo5.sh running for 50s
% 0.61/0.79 % /export/starexec/sandbox2/solver/bin/fo/fo4.sh running for 50s
% 0.61/0.84 % Solved by fo/fo7.sh.
% 0.61/0.84 % done 248 iterations in 0.047s
% 0.61/0.84 % SZS status Theorem for '/export/starexec/sandbox2/benchmark/theBenchmark.p'
% 0.61/0.84 % SZS output start Refutation
% See solution above
% 0.61/0.85
% 0.61/0.85
% 0.61/0.85 % Terminating...
% 0.61/0.91 % Runner terminated.
% 1.59/0.92 % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------