%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : SWW937+1 : TPTP v9.2.0. Released v7.3.0.
% Transfm : none
% Format : tptp:raw
% Command : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.X8Snf242xL true
% Computer : n002.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 05:03:28 PM UTC 2025
% Result : Theorem 196.75s 28.67s
% Output : Refutation 196.75s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : SWW937+1 : TPTP v9.2.0. Released v7.3.0.
% 0.03/0.13 % Command : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.X8Snf242xL true
% 0.12/0.34 % Computer : n002.cluster.edu
% 0.12/0.34 % Model : x86_64 x86_64
% 0.12/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.34 % Memory : 8042.1875MB
% 0.12/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.34 % CPULimit : 300
% 0.12/0.34 % WCLimit : 300
% 0.12/0.34 % DateTime : Wed Oct 1 12:03:08 EDT 2025
% 0.12/0.34 % CPUTime :
% 0.12/0.34 % Running portfolio for 300 s
% 0.12/0.34 % File : /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.12/0.35 % Number of cores: 8
% 0.12/0.35 % Python version: Python 3.6.8
% 0.12/0.35 % Running in FO mode
% 0.55/0.63 % Total configuration time : 435
% 0.55/0.63 % Estimated wc time : 1092
% 0.55/0.63 % Estimated cpu time (7 cpus) : 156.0
% 0.55/0.69 % /export/starexec/sandbox/solver/bin/fo/fo6_bce.sh running for 75s
% 0.55/0.72 % /export/starexec/sandbox/solver/bin/fo/fo3_bce.sh running for 75s
% 0.56/0.75 % /export/starexec/sandbox/solver/bin/fo/fo7.sh running for 63s
% 0.56/0.75 % /export/starexec/sandbox/solver/bin/fo/fo13.sh running for 50s
% 0.56/0.75 % /export/starexec/sandbox/solver/bin/fo/fo1_av.sh running for 75s
% 0.56/0.75 % /export/starexec/sandbox/solver/bin/fo/fo5.sh running for 50s
% 0.56/0.75 % /export/starexec/sandbox/solver/bin/fo/fo4.sh running for 50s
% 196.75/28.67 % Solved by fo/fo6_bce.sh.
% 196.75/28.67 % BCE start: 182
% 196.75/28.67 % BCE eliminated: 1
% 196.75/28.67 % PE start: 181
% 196.75/28.67 logic: eq
% 196.75/28.67 % PE eliminated: 83
% 196.75/28.67 % done 3810 iterations in 27.935s
% 196.75/28.67 % SZS status Theorem for '/export/starexec/sandbox/benchmark/theBenchmark.p'
% 196.75/28.67 % SZS output start Refutation
% 196.75/28.67 thf(sk__6_type, type, sk__6: $i).
% 196.75/28.67 thf(sk__2_type, type, sk__2: $i > $i > $i > $i > $i).
% 196.75/28.67 thf(c_27const_2epred__set_2eUNION_27__02_type, type, c_27const_2epred__set_2eUNION_27__02:
% 196.75/28.67 $i > $i > $i).
% 196.75/28.67 thf(cfun__02_type, type, cfun__02: $i > $i > $i).
% 196.75/28.67 thf(cbool__00_type, type, cbool__00: $i).
% 196.75/28.67 thf(c_27type_2epair_2eprod_27__02_type, type, c_27type_2epair_2eprod_27__02:
% 196.75/28.67 $i > $i > $i).
% 196.75/28.67 thf(sk__7_type, type, sk__7: $i).
% 196.75/28.67 thf(sk__1_type, type, sk__1: $i > $i > $i > $i > $i).
% 196.75/28.67 thf(c_27const_2eset__sep_2eSTAR_27__02_type, type, c_27const_2eset__sep_2eSTAR_27__02:
% 196.75/28.67 $i > $i > $i).
% 196.75/28.67 thf(p__01_type, type, p__01: $i > $o).
% 196.75/28.67 thf(s__02_type, type, s__02: $i > $i > $i).
% 196.75/28.67 thf(c_27const_2epred__set_2eDISJOINT_27__02_type, type, c_27const_2epred__set_2eDISJOINT_27__02:
% 196.75/28.67 $i > $i > $i).
% 196.75/28.67 thf(sk__3_type, type, sk__3: $i).
% 196.75/28.67 thf(c_27const_2epair_2e_2c_27__02_type, type, c_27const_2epair_2e_2c_27__02:
% 196.75/28.67 $i > $i > $i).
% 196.75/28.67 thf(c_27const_2eset__sep_2eSPLIT_27__02_type, type, c_27const_2eset__sep_2eSPLIT_27__02:
% 196.75/28.67 $i > $i > $i).
% 196.75/28.67 thf(chapp__02_type, type, chapp__02: $i > $i > $i).
% 196.75/28.67 thf(sk__4_type, type, sk__4: $i).
% 196.75/28.67 thf(cT__00_type, type, cT__00: $i).
% 196.75/28.67 thf(cF__00_type, type, cF__00: $i).
% 196.75/28.67 thf(sk__5_type, type, sk__5: $i).
% 196.75/28.67 thf(c_27const_2ecfHeapsBase_2eSPLIT3_27__02_type, type, c_27const_2ecfHeapsBase_2eSPLIT3_27__02:
% 196.75/28.67 $i > $i > $i).
% 196.75/28.67 thf(HL_BOOL_CASES, axiom,
% 196.75/28.67 (![Vt:$i]:
% 196.75/28.67 ( ( ( s__02 @ cbool__00 @ Vt ) = ( s__02 @ cbool__00 @ cF__00 ) ) |
% 196.75/28.67 ( ( s__02 @ cbool__00 @ Vt ) = ( s__02 @ cbool__00 @ cT__00 ) ) ))).
% 196.75/28.67 thf(zip_derived_cl2, plain,
% 196.75/28.67 (![X0 : $i]:
% 196.75/28.67 (((s__02 @ cbool__00 @ X0) = (s__02 @ cbool__00 @ cF__00))
% 196.75/28.67 | ((s__02 @ cbool__00 @ X0) = (s__02 @ cbool__00 @ cT__00)))),
% 196.75/28.67 inference('cnf', [status(esa)], [HL_BOOL_CASES])).
% 196.75/28.67 thf(HL_TRUTH, axiom, (p__01 @ ( s__02 @ cbool__00 @ cT__00 ))).
% 196.75/28.67 thf(zip_derived_cl0, plain, ( (p__01 @ (s__02 @ cbool__00 @ cT__00))),
% 196.75/28.67 inference('cnf', [status(esa)], [HL_TRUTH])).
% 196.75/28.67 thf(zip_derived_cl1592, plain,
% 196.75/28.67 (![X0 : $i]:
% 196.75/28.67 (((s__02 @ cbool__00 @ X0) = (s__02 @ cbool__00 @ cF__00))
% 196.75/28.67 | (p__01 @ (s__02 @ cbool__00 @ X0)))),
% 196.75/28.67 inference('s_sup+', [status(thm)], [zip_derived_cl2, zip_derived_cl0])).
% 196.75/28.67 thf(conjecture, conjecture,
% 196.75/28.67 (![V_27A_27:$i,V_27H1_27:$i,V_27H2_27:$i,V_27H3_27:$i,V_27h_27:$i]:
% 196.75/28.67 ( ( p__01 @
% 196.75/28.67 ( s__02 @
% 196.75/28.67 cbool__00 @
% 196.75/28.67 ( chapp__02 @
% 196.75/28.67 ( s__02 @
% 196.75/28.67 ( cfun__02 @ ( cfun__02 @ V_27A_27 @ cbool__00 ) @ cbool__00 ) @
% 196.75/28.67 ( c_27const_2eset__sep_2eSTAR_27__02 @
% 196.75/28.67 ( s__02 @
% 196.75/28.67 ( cfun__02 @ ( cfun__02 @ V_27A_27 @ cbool__00 ) @ cbool__00 ) @
% 196.75/28.67 ( c_27const_2eset__sep_2eSTAR_27__02 @
% 196.75/28.67 ( s__02 @
% 196.75/28.67 ( cfun__02 @
% 196.75/28.67 ( cfun__02 @ V_27A_27 @ cbool__00 ) @ cbool__00 ) @
% 196.75/28.67 V_27H1_27 ) @
% 196.75/28.67 ( s__02 @
% 196.75/28.67 ( cfun__02 @
% 196.75/28.67 ( cfun__02 @ V_27A_27 @ cbool__00 ) @ cbool__00 ) @
% 196.75/28.67 V_27H2_27 ) ) ) @
% 196.75/28.67 ( s__02 @
% 196.75/28.67 ( cfun__02 @ ( cfun__02 @ V_27A_27 @ cbool__00 ) @ cbool__00 ) @
% 196.75/28.67 V_27H3_27 ) ) ) @
% 196.75/28.67 ( s__02 @ ( cfun__02 @ V_27A_27 @ cbool__00 ) @ V_27h_27 ) ) ) ) =>
% 196.75/28.67 ( ?[V_27h1_27:$i,V_27h2_27:$i,V_27h3_27:$i]:
% 196.75/28.67 ( ( p__01 @
% 196.75/28.67 ( s__02 @
% 196.75/28.67 cbool__00 @
% 196.75/28.67 ( chapp__02 @
% 196.75/28.67 ( s__02 @
% 196.75/28.67 ( cfun__02 @ ( cfun__02 @ V_27A_27 @ cbool__00 ) @ cbool__00 ) @
% 196.75/28.67 V_27H3_27 ) @
% 196.75/28.67 ( s__02 @ ( cfun__02 @ V_27A_27 @ cbool__00 ) @ V_27h3_27 ) ) ) ) &
% 196.75/28.67 ( p__01 @
% 196.75/28.67 ( s__02 @
% 196.75/28.67 cbool__00 @
% 196.75/28.67 ( chapp__02 @
% 196.75/28.67 ( s__02 @
% 196.75/28.67 ( cfun__02 @ ( cfun__02 @ V_27A_27 @ cbool__00 ) @ cbool__00 ) @
% 196.75/28.67 V_27H2_27 ) @
% 196.75/28.67 ( s__02 @ ( cfun__02 @ V_27A_27 @ cbool__00 ) @ V_27h2_27 ) ) ) ) &
% 196.75/28.67 ( p__01 @
% 196.75/28.67 ( s__02 @
% 196.75/28.67 cbool__00 @
% 196.75/28.67 ( chapp__02 @
% 196.75/28.67 ( s__02 @
% 196.75/28.67 ( cfun__02 @ ( cfun__02 @ V_27A_27 @ cbool__00 ) @ cbool__00 ) @
% 196.75/28.67 V_27H1_27 ) @
% 196.75/28.67 ( s__02 @ ( cfun__02 @ V_27A_27 @ cbool__00 ) @ V_27h1_27 ) ) ) ) &
% 196.75/28.67 ( p__01 @
% 196.75/28.67 ( s__02 @
% 196.75/28.67 cbool__00 @
% 196.75/28.67 ( c_27const_2ecfHeapsBase_2eSPLIT3_27__02 @
% 196.75/28.67 ( s__02 @ ( cfun__02 @ V_27A_27 @ cbool__00 ) @ V_27h_27 ) @
% 196.75/28.67 ( s__02 @
% 196.75/28.67 ( c_27type_2epair_2eprod_27__02 @
% 196.75/28.67 ( cfun__02 @ V_27A_27 @ cbool__00 ) @
% 196.75/28.67 ( c_27type_2epair_2eprod_27__02 @
% 196.75/28.67 ( cfun__02 @ V_27A_27 @ cbool__00 ) @
% 196.75/28.67 ( cfun__02 @ V_27A_27 @ cbool__00 ) ) ) @
% 196.75/28.67 ( c_27const_2epair_2e_2c_27__02 @
% 196.75/28.67 ( s__02 @ ( cfun__02 @ V_27A_27 @ cbool__00 ) @ V_27h1_27 ) @
% 196.75/28.67 ( s__02 @
% 196.75/28.67 ( c_27type_2epair_2eprod_27__02 @
% 196.75/28.67 ( cfun__02 @ V_27A_27 @ cbool__00 ) @
% 196.75/28.67 ( cfun__02 @ V_27A_27 @ cbool__00 ) ) @
% 196.75/28.67 ( c_27const_2epair_2e_2c_27__02 @
% 196.75/28.67 ( s__02 @
% 196.75/28.67 ( cfun__02 @ V_27A_27 @ cbool__00 ) @ V_27h2_27 ) @
% 196.75/28.67 ( s__02 @
% 196.75/28.67 ( cfun__02 @ V_27A_27 @ cbool__00 ) @ V_27h3_27 ) ) ) ) ) ) ) ) ) ) ))).
% 196.75/28.67 thf(zf_stmt_0, negated_conjecture,
% 196.75/28.67 (~( ![V_27A_27:$i,V_27H1_27:$i,V_27H2_27:$i,V_27H3_27:$i,V_27h_27:$i]:
% 196.75/28.67 ( ( p__01 @
% 196.75/28.67 ( s__02 @
% 196.75/28.67 cbool__00 @
% 196.75/28.67 ( chapp__02 @
% 196.75/28.67 ( s__02 @
% 196.75/28.67 ( cfun__02 @ ( cfun__02 @ V_27A_27 @ cbool__00 ) @ cbool__00 ) @
% 196.75/28.67 ( c_27const_2eset__sep_2eSTAR_27__02 @
% 196.75/28.67 ( s__02 @
% 196.75/28.67 ( cfun__02 @
% 196.75/28.67 ( cfun__02 @ V_27A_27 @ cbool__00 ) @ cbool__00 ) @
% 196.75/28.67 ( c_27const_2eset__sep_2eSTAR_27__02 @
% 196.75/28.67 ( s__02 @
% 196.75/28.67 ( cfun__02 @
% 196.75/28.67 ( cfun__02 @ V_27A_27 @ cbool__00 ) @ cbool__00 ) @
% 196.75/28.67 V_27H1_27 ) @
% 196.75/28.67 ( s__02 @
% 196.75/28.67 ( cfun__02 @
% 196.75/28.67 ( cfun__02 @ V_27A_27 @ cbool__00 ) @ cbool__00 ) @
% 196.75/28.67 V_27H2_27 ) ) ) @
% 196.75/28.67 ( s__02 @
% 196.75/28.67 ( cfun__02 @
% 196.75/28.67 ( cfun__02 @ V_27A_27 @ cbool__00 ) @ cbool__00 ) @
% 196.75/28.67 V_27H3_27 ) ) ) @
% 196.75/28.67 ( s__02 @ ( cfun__02 @ V_27A_27 @ cbool__00 ) @ V_27h_27 ) ) ) ) =>
% 196.75/28.67 ( ?[V_27h1_27:$i,V_27h2_27:$i,V_27h3_27:$i]:
% 196.75/28.67 ( ( p__01 @
% 196.75/28.67 ( s__02 @
% 196.75/28.67 cbool__00 @
% 196.75/28.67 ( chapp__02 @
% 196.75/28.67 ( s__02 @
% 196.75/28.67 ( cfun__02 @
% 196.75/28.67 ( cfun__02 @ V_27A_27 @ cbool__00 ) @ cbool__00 ) @
% 196.75/28.67 V_27H3_27 ) @
% 196.75/28.67 ( s__02 @ ( cfun__02 @ V_27A_27 @ cbool__00 ) @ V_27h3_27 ) ) ) ) &
% 196.75/28.67 ( p__01 @
% 196.75/28.67 ( s__02 @
% 196.75/28.67 cbool__00 @
% 196.75/28.67 ( chapp__02 @
% 196.75/28.67 ( s__02 @
% 196.75/28.67 ( cfun__02 @
% 196.75/28.67 ( cfun__02 @ V_27A_27 @ cbool__00 ) @ cbool__00 ) @
% 196.75/28.67 V_27H2_27 ) @
% 196.75/28.67 ( s__02 @ ( cfun__02 @ V_27A_27 @ cbool__00 ) @ V_27h2_27 ) ) ) ) &
% 196.75/28.67 ( p__01 @
% 196.75/28.67 ( s__02 @
% 196.75/28.67 cbool__00 @
% 196.75/28.67 ( chapp__02 @
% 196.75/28.67 ( s__02 @
% 196.75/28.67 ( cfun__02 @
% 196.75/28.67 ( cfun__02 @ V_27A_27 @ cbool__00 ) @ cbool__00 ) @
% 196.75/28.67 V_27H1_27 ) @
% 196.75/28.67 ( s__02 @ ( cfun__02 @ V_27A_27 @ cbool__00 ) @ V_27h1_27 ) ) ) ) &
% 196.75/28.67 ( p__01 @
% 196.75/28.67 ( s__02 @
% 196.75/28.67 cbool__00 @
% 196.75/28.67 ( c_27const_2ecfHeapsBase_2eSPLIT3_27__02 @
% 196.75/28.67 ( s__02 @ ( cfun__02 @ V_27A_27 @ cbool__00 ) @ V_27h_27 ) @
% 196.75/28.67 ( s__02 @
% 196.75/28.67 ( c_27type_2epair_2eprod_27__02 @
% 196.75/28.67 ( cfun__02 @ V_27A_27 @ cbool__00 ) @
% 196.75/28.67 ( c_27type_2epair_2eprod_27__02 @
% 196.75/28.67 ( cfun__02 @ V_27A_27 @ cbool__00 ) @
% 196.75/28.67 ( cfun__02 @ V_27A_27 @ cbool__00 ) ) ) @
% 196.75/28.67 ( c_27const_2epair_2e_2c_27__02 @
% 196.75/28.67 ( s__02 @
% 196.75/28.67 ( cfun__02 @ V_27A_27 @ cbool__00 ) @ V_27h1_27 ) @
% 196.75/28.67 ( s__02 @
% 196.75/28.67 ( c_27type_2epair_2eprod_27__02 @
% 196.75/28.67 ( cfun__02 @ V_27A_27 @ cbool__00 ) @
% 196.75/28.67 ( cfun__02 @ V_27A_27 @ cbool__00 ) ) @
% 196.75/28.67 ( c_27const_2epair_2e_2c_27__02 @
% 196.75/28.67 ( s__02 @
% 196.75/28.67 ( cfun__02 @ V_27A_27 @ cbool__00 ) @ V_27h2_27 ) @
% 196.75/28.67 ( s__02 @
% 196.75/28.67 ( cfun__02 @ V_27A_27 @ cbool__00 ) @ V_27h3_27 ) ) ) ) ) ) ) ) ) ) ) )),
% 196.75/28.67 inference('cnf.neg', [status(esa)], [conjecture])).
% 196.75/28.67 thf(zip_derived_cl180, plain,
% 196.75/28.67 ( (p__01 @
% 196.75/28.67 (s__02 @ cbool__00 @
% 196.75/28.67 (chapp__02 @
% 196.75/28.67 (s__02 @ (cfun__02 @ (cfun__02 @ sk__3 @ cbool__00) @ cbool__00) @
% 196.75/28.67 (c_27const_2eset__sep_2eSTAR_27__02 @
% 196.75/28.67 (s__02 @
% 196.75/28.67 (cfun__02 @ (cfun__02 @ sk__3 @ cbool__00) @ cbool__00) @
% 196.75/28.67 (c_27const_2eset__sep_2eSTAR_27__02 @
% 196.75/28.67 (s__02 @
% 196.75/28.67 (cfun__02 @ (cfun__02 @ sk__3 @ cbool__00) @ cbool__00) @ sk__4) @
% 196.75/28.67 (s__02 @
% 196.75/28.67 (cfun__02 @ (cfun__02 @ sk__3 @ cbool__00) @ cbool__00) @ sk__5))) @
% 196.75/28.67 (s__02 @
% 196.75/28.67 (cfun__02 @ (cfun__02 @ sk__3 @ cbool__00) @ cbool__00) @ sk__6))) @
% 196.75/28.67 (s__02 @ (cfun__02 @ sk__3 @ cbool__00) @ sk__7))))),
% 196.75/28.67 inference('cnf', [status(esa)], [zf_stmt_0])).
% 196.75/28.67 thf(thm.bool.EQ_CLAUSES, axiom,
% 196.75/28.67 (![V_27t_27:$i]:
% 196.75/28.67 ( ( ( ( s__02 @ cbool__00 @ V_27t_27 ) = ( s__02 @ cbool__00 @ cF__00 ) ) <=>
% 196.75/28.67 ( ~( p__01 @ ( s__02 @ cbool__00 @ V_27t_27 ) ) ) ) &
% 196.75/28.67 ( ( ( s__02 @ cbool__00 @ cF__00 ) = ( s__02 @ cbool__00 @ V_27t_27 ) ) <=>
% 196.75/28.67 ( ~( p__01 @ ( s__02 @ cbool__00 @ V_27t_27 ) ) ) ) &
% 196.75/28.67 ( ( ( s__02 @ cbool__00 @ V_27t_27 ) = ( s__02 @ cbool__00 @ cT__00 ) ) <=>
% 196.75/28.67 ( p__01 @ ( s__02 @ cbool__00 @ V_27t_27 ) ) ) &
% 196.75/28.67 ( ( ( s__02 @ cbool__00 @ cT__00 ) = ( s__02 @ cbool__00 @ V_27t_27 ) ) <=>
% 196.75/28.67 ( p__01 @ ( s__02 @ cbool__00 @ V_27t_27 ) ) ) ))).
% 196.75/28.67 thf(zip_derived_cl32, plain,
% 196.75/28.67 (![X0 : $i]:
% 196.75/28.67 (((s__02 @ cbool__00 @ cT__00) = (s__02 @ cbool__00 @ X0))
% 196.75/28.67 | ~ (p__01 @ (s__02 @ cbool__00 @ X0)))),
% 196.75/28.67 inference('cnf', [status(esa)], [thm.bool.EQ_CLAUSES])).
% 196.75/28.67 thf(zip_derived_cl1691, plain,
% 196.75/28.67 (((s__02 @ cbool__00 @ cT__00)
% 196.75/28.67 = (s__02 @ cbool__00 @
% 196.75/28.67 (chapp__02 @
% 196.75/28.67 (s__02 @
% 196.75/28.67 (cfun__02 @ (cfun__02 @ sk__3 @ cbool__00) @ cbool__00) @
% 196.75/28.67 (c_27const_2eset__sep_2eSTAR_27__02 @
% 196.75/28.67 (s__02 @
% 196.75/28.67 (cfun__02 @ (cfun__02 @ sk__3 @ cbool__00) @ cbool__00) @
% 196.75/28.67 (c_27const_2eset__sep_2eSTAR_27__02 @
% 196.75/28.67 (s__02 @
% 196.75/28.67 (cfun__02 @ (cfun__02 @ sk__3 @ cbool__00) @ cbool__00) @
% 196.75/28.67 sk__4) @
% 196.75/28.67 (s__02 @
% 196.75/28.67 (cfun__02 @ (cfun__02 @ sk__3 @ cbool__00) @ cbool__00) @
% 196.75/28.67 sk__5))) @
% 196.75/28.67 (s__02 @
% 196.75/28.67 (cfun__02 @ (cfun__02 @ sk__3 @ cbool__00) @ cbool__00) @ sk__6))) @
% 196.75/28.67 (s__02 @ (cfun__02 @ sk__3 @ cbool__00) @ sk__7))))),
% 196.75/28.67 inference('s_sup-', [status(thm)], [zip_derived_cl180, zip_derived_cl32])).
% 196.75/28.67 thf(thm.set_sep.STAR_def, axiom,
% 196.75/28.67 (![V_27A_27:$i,V_27p_27:$i,V_27q_27:$i,Vx:$i]:
% 196.75/28.67 ( ( p__01 @
% 196.75/28.67 ( s__02 @
% 196.75/28.67 cbool__00 @
% 196.75/28.67 ( chapp__02 @
% 196.75/28.67 ( s__02 @
% 196.75/28.67 ( cfun__02 @ ( cfun__02 @ V_27A_27 @ cbool__00 ) @ cbool__00 ) @
% 196.75/28.67 ( c_27const_2eset__sep_2eSTAR_27__02 @
% 196.75/28.67 ( s__02 @
% 196.75/28.67 ( cfun__02 @ ( cfun__02 @ V_27A_27 @ cbool__00 ) @ cbool__00 ) @
% 196.75/28.67 V_27p_27 ) @
% 196.75/28.67 ( s__02 @
% 196.75/28.67 ( cfun__02 @ ( cfun__02 @ V_27A_27 @ cbool__00 ) @ cbool__00 ) @
% 196.75/28.67 V_27q_27 ) ) ) @
% 196.75/28.67 ( s__02 @ ( cfun__02 @ V_27A_27 @ cbool__00 ) @ Vx ) ) ) ) <=>
% 196.75/28.67 ( ?[V_27u_27:$i,V_27v_27:$i]:
% 196.75/28.67 ( ( p__01 @
% 196.75/28.67 ( s__02 @
% 196.75/28.67 cbool__00 @
% 196.75/28.67 ( chapp__02 @
% 196.75/28.67 ( s__02 @
% 196.75/28.67 ( cfun__02 @ ( cfun__02 @ V_27A_27 @ cbool__00 ) @ cbool__00 ) @
% 196.75/28.67 V_27q_27 ) @
% 196.75/28.67 ( s__02 @ ( cfun__02 @ V_27A_27 @ cbool__00 ) @ V_27v_27 ) ) ) ) &
% 196.75/28.67 ( p__01 @
% 196.75/28.67 ( s__02 @
% 196.75/28.67 cbool__00 @
% 196.75/28.67 ( chapp__02 @
% 196.75/28.67 ( s__02 @
% 196.75/28.67 ( cfun__02 @ ( cfun__02 @ V_27A_27 @ cbool__00 ) @ cbool__00 ) @
% 196.75/28.67 V_27p_27 ) @
% 196.75/28.67 ( s__02 @ ( cfun__02 @ V_27A_27 @ cbool__00 ) @ V_27u_27 ) ) ) ) &
% 196.75/28.67 ( p__01 @
% 196.75/28.67 ( s__02 @
% 196.75/28.67 cbool__00 @
% 196.75/28.67 ( c_27const_2eset__sep_2eSPLIT_27__02 @
% 196.75/28.67 ( s__02 @ ( cfun__02 @ V_27A_27 @ cbool__00 ) @ Vx ) @
% 196.75/28.67 ( s__02 @
% 196.75/28.67 ( c_27type_2epair_2eprod_27__02 @
% 196.75/28.67 ( cfun__02 @ V_27A_27 @ cbool__00 ) @
% 196.75/28.67 ( cfun__02 @ V_27A_27 @ cbool__00 ) ) @
% 196.75/28.67 ( c_27const_2epair_2e_2c_27__02 @
% 196.75/28.67 ( s__02 @ ( cfun__02 @ V_27A_27 @ cbool__00 ) @ V_27u_27 ) @
% 196.75/28.67 ( s__02 @ ( cfun__02 @ V_27A_27 @ cbool__00 ) @ V_27v_27 ) ) ) ) ) ) ) ) ))).
% 196.75/28.67 thf(zip_derived_cl171, plain,
% 196.75/28.67 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 196.75/28.67 ( (p__01 @
% 196.75/28.67 (s__02 @ cbool__00 @
% 196.75/28.67 (chapp__02 @
% 196.75/28.67 (s__02 @ (cfun__02 @ (cfun__02 @ X0 @ cbool__00) @ cbool__00) @
% 196.75/28.67 X1) @
% 196.75/28.67 (s__02 @ (cfun__02 @ X0 @ cbool__00) @
% 196.75/28.67 (sk__1 @ X2 @ X3 @ X1 @ X0)))))
% 196.75/28.67 | ~ (p__01 @
% 196.75/28.67 (s__02 @ cbool__00 @
% 196.75/28.67 (chapp__02 @
% 196.75/28.67 (s__02 @
% 196.75/28.67 (cfun__02 @ (cfun__02 @ X0 @ cbool__00) @ cbool__00) @
% 196.75/28.67 (c_27const_2eset__sep_2eSTAR_27__02 @
% 196.75/28.67 (s__02 @
% 196.75/28.67 (cfun__02 @ (cfun__02 @ X0 @ cbool__00) @ cbool__00) @ X1) @
% 196.75/28.67 (s__02 @
% 196.75/28.67 (cfun__02 @ (cfun__02 @ X0 @ cbool__00) @ cbool__00) @ X3))) @
% 196.75/28.67 (s__02 @ (cfun__02 @ X0 @ cbool__00) @ X2)))))),
% 196.75/28.67 inference('cnf', [status(esa)], [thm.set_sep.STAR_def])).
% 196.75/28.67 thf(zip_derived_cl2337, plain,
% 196.75/28.67 (( (p__01 @
% 196.75/28.67 (s__02 @ cbool__00 @
% 196.75/28.67 (chapp__02 @
% 196.75/28.67 (s__02 @ (cfun__02 @ (cfun__02 @ sk__3 @ cbool__00) @ cbool__00) @
% 196.75/28.67 (c_27const_2eset__sep_2eSTAR_27__02 @
% 196.75/28.67 (s__02 @
% 196.75/28.67 (cfun__02 @ (cfun__02 @ sk__3 @ cbool__00) @ cbool__00) @ sk__4) @
% 196.75/28.67 (s__02 @
% 196.75/28.67 (cfun__02 @ (cfun__02 @ sk__3 @ cbool__00) @ cbool__00) @ sk__5))) @
% 196.75/28.67 (s__02 @ (cfun__02 @ sk__3 @ cbool__00) @
% 196.75/28.67 (sk__1 @ sk__7 @ sk__6 @
% 196.75/28.67 (c_27const_2eset__sep_2eSTAR_27__02 @
% 196.75/28.67 (s__02 @
% 196.75/28.67 (cfun__02 @ (cfun__02 @ sk__3 @ cbool__00) @ cbool__00) @ sk__4) @
% 196.75/28.67 (s__02 @
% 196.75/28.67 (cfun__02 @ (cfun__02 @ sk__3 @ cbool__00) @ cbool__00) @ sk__5)) @
% 196.75/28.67 sk__3)))))
% 196.75/28.67 | ~ (p__01 @ (s__02 @ cbool__00 @ cT__00)))),
% 196.75/28.67 inference('s_sup-', [status(thm)],
% 196.75/28.67 [zip_derived_cl1691, zip_derived_cl171])).
% 196.75/28.67 thf(zip_derived_cl0, plain, ( (p__01 @ (s__02 @ cbool__00 @ cT__00))),
% 196.75/28.67 inference('cnf', [status(esa)], [HL_TRUTH])).
% 196.75/28.67 thf(zip_derived_cl2341, plain,
% 196.75/28.67 ( (p__01 @
% 196.75/28.67 (s__02 @ cbool__00 @
% 196.75/28.67 (chapp__02 @
% 196.75/28.67 (s__02 @ (cfun__02 @ (cfun__02 @ sk__3 @ cbool__00) @ cbool__00) @
% 196.75/28.67 (c_27const_2eset__sep_2eSTAR_27__02 @
% 196.75/28.67 (s__02 @
% 196.75/28.67 (cfun__02 @ (cfun__02 @ sk__3 @ cbool__00) @ cbool__00) @ sk__4) @
% 196.75/28.67 (s__02 @
% 196.75/28.67 (cfun__02 @ (cfun__02 @ sk__3 @ cbool__00) @ cbool__00) @ sk__5))) @
% 196.75/28.67 (s__02 @ (cfun__02 @ sk__3 @ cbool__00) @
% 196.75/28.67 (sk__1 @ sk__7 @ sk__6 @
% 196.75/28.67 (c_27const_2eset__sep_2eSTAR_27__02 @
% 196.75/28.67 (s__02 @
% 196.75/28.67 (cfun__02 @ (cfun__02 @ sk__3 @ cbool__00) @ cbool__00) @ sk__4) @
% 196.75/28.67 (s__02 @
% 196.75/28.67 (cfun__02 @ (cfun__02 @ sk__3 @ cbool__00) @ cbool__00) @ sk__5)) @
% 196.75/28.67 sk__3)))))),
% 196.75/28.67 inference('demod', [status(thm)], [zip_derived_cl2337, zip_derived_cl0])).
% 196.75/28.67 thf(zip_derived_cl32, plain,
% 196.75/28.67 (![X0 : $i]:
% 196.75/28.67 (((s__02 @ cbool__00 @ cT__00) = (s__02 @ cbool__00 @ X0))
% 196.75/28.67 | ~ (p__01 @ (s__02 @ cbool__00 @ X0)))),
% 196.75/28.67 inference('cnf', [status(esa)], [thm.bool.EQ_CLAUSES])).
% 196.75/28.67 thf(zip_derived_cl2342, plain,
% 196.75/28.67 (((s__02 @ cbool__00 @ cT__00)
% 196.75/28.67 = (s__02 @ cbool__00 @
% 196.75/28.67 (chapp__02 @
% 196.75/28.67 (s__02 @
% 196.75/28.67 (cfun__02 @ (cfun__02 @ sk__3 @ cbool__00) @ cbool__00) @
% 196.75/28.67 (c_27const_2eset__sep_2eSTAR_27__02 @
% 196.75/28.67 (s__02 @
% 196.75/28.67 (cfun__02 @ (cfun__02 @ sk__3 @ cbool__00) @ cbool__00) @ sk__4) @
% 196.75/28.67 (s__02 @
% 196.75/28.67 (cfun__02 @ (cfun__02 @ sk__3 @ cbool__00) @ cbool__00) @ sk__5))) @
% 196.75/28.67 (s__02 @ (cfun__02 @ sk__3 @ cbool__00) @
% 196.75/28.67 (sk__1 @ sk__7 @ sk__6 @
% 196.75/28.67 (c_27const_2eset__sep_2eSTAR_27__02 @
% 196.75/28.67 (s__02 @
% 196.75/28.67 (cfun__02 @ (cfun__02 @ sk__3 @ cbool__00) @ cbool__00) @
% 196.75/28.67 sk__4) @
% 196.75/28.67 (s__02 @
% 196.75/28.67 (cfun__02 @ (cfun__02 @ sk__3 @ cbool__00) @ cbool__00) @
% 196.75/28.67 sk__5)) @
% 196.75/28.67 sk__3)))))),
% 196.75/28.67 inference('s_sup-', [status(thm)], [zip_derived_cl2341, zip_derived_cl32])).
% 196.75/28.67 thf(zip_derived_cl172, plain,
% 196.75/28.67 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 196.75/28.67 ( (p__01 @
% 196.75/28.67 (s__02 @ cbool__00 @
% 196.75/28.67 (c_27const_2eset__sep_2eSPLIT_27__02 @
% 196.75/28.67 (s__02 @ (cfun__02 @ X0 @ cbool__00) @ X1) @
% 196.75/28.67 (s__02 @
% 196.75/28.67 (c_27type_2epair_2eprod_27__02 @ (cfun__02 @ X0 @ cbool__00) @
% 196.75/28.67 (cfun__02 @ X0 @ cbool__00)) @
% 196.75/28.67 (c_27const_2epair_2e_2c_27__02 @
% 196.75/28.67 (s__02 @ (cfun__02 @ X0 @ cbool__00) @
% 196.75/28.67 (sk__1 @ X1 @ X2 @ X3 @ X0)) @
% 196.75/28.67 (s__02 @ (cfun__02 @ X0 @ cbool__00) @
% 196.75/28.67 (sk__2 @ X1 @ X2 @ X3 @ X0)))))))
% 196.75/28.67 | ~ (p__01 @
% 196.75/28.67 (s__02 @ cbool__00 @
% 196.75/28.67 (chapp__02 @
% 196.75/28.67 (s__02 @
% 196.75/28.67 (cfun__02 @ (cfun__02 @ X0 @ cbool__00) @ cbool__00) @
% 196.75/28.67 (c_27const_2eset__sep_2eSTAR_27__02 @
% 196.75/28.67 (s__02 @
% 196.75/28.67 (cfun__02 @ (cfun__02 @ X0 @ cbool__00) @ cbool__00) @ X3) @
% 196.75/28.67 (s__02 @
% 196.75/28.67 (cfun__02 @ (cfun__02 @ X0 @ cbool__00) @ cbool__00) @ X2))) @
% 196.75/28.67 (s__02 @ (cfun__02 @ X0 @ cbool__00) @ X1)))))),
% 196.75/28.67 inference('cnf', [status(esa)], [thm.set_sep.STAR_def])).
% 196.75/28.67 thf(thm.set_sep.SPLIT_def, axiom,
% 196.75/28.67 (![V_27A_27:$i,V_27s_27:$i,V_27u_27:$i,V_27v_27:$i]:
% 196.75/28.67 ( ( p__01 @
% 196.75/28.67 ( s__02 @
% 196.75/28.67 cbool__00 @
% 196.75/28.67 ( c_27const_2eset__sep_2eSPLIT_27__02 @
% 196.75/28.67 ( s__02 @ ( cfun__02 @ V_27A_27 @ cbool__00 ) @ V_27s_27 ) @
% 196.75/28.67 ( s__02 @
% 196.75/28.67 ( c_27type_2epair_2eprod_27__02 @
% 196.75/28.67 ( cfun__02 @ V_27A_27 @ cbool__00 ) @
% 196.75/28.67 ( cfun__02 @ V_27A_27 @ cbool__00 ) ) @
% 196.75/28.67 ( c_27const_2epair_2e_2c_27__02 @
% 196.75/28.67 ( s__02 @ ( cfun__02 @ V_27A_27 @ cbool__00 ) @ V_27u_27 ) @
% 196.75/28.67 ( s__02 @ ( cfun__02 @ V_27A_27 @ cbool__00 ) @ V_27v_27 ) ) ) ) ) ) <=>
% 196.75/28.67 ( ( ( s__02 @
% 196.75/28.67 ( cfun__02 @ V_27A_27 @ cbool__00 ) @
% 196.75/28.67 ( c_27const_2epred__set_2eUNION_27__02 @
% 196.75/28.67 ( s__02 @ ( cfun__02 @ V_27A_27 @ cbool__00 ) @ V_27u_27 ) @
% 196.75/28.67 ( s__02 @ ( cfun__02 @ V_27A_27 @ cbool__00 ) @ V_27v_27 ) ) ) =
% 196.75/28.67 ( s__02 @ ( cfun__02 @ V_27A_27 @ cbool__00 ) @ V_27s_27 ) ) &
% 196.75/28.67 ( p__01 @
% 196.75/28.67 ( s__02 @
% 196.75/28.67 cbool__00 @
% 196.75/28.67 ( c_27const_2epred__set_2eDISJOINT_27__02 @
% 196.75/28.67 ( s__02 @ ( cfun__02 @ V_27A_27 @ cbool__00 ) @ V_27u_27 ) @
% 196.75/28.67 ( s__02 @ ( cfun__02 @ V_27A_27 @ cbool__00 ) @ V_27v_27 ) ) ) ) ) ))).
% 196.75/28.67 thf(zip_derived_cl168, plain,
% 196.75/28.67 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 196.75/28.67 (((s__02 @ (cfun__02 @ X0 @ cbool__00) @
% 196.75/28.67 (c_27const_2epred__set_2eUNION_27__02 @
% 196.75/28.67 (s__02 @ (cfun__02 @ X0 @ cbool__00) @ X2) @
% 196.75/28.67 (s__02 @ (cfun__02 @ X0 @ cbool__00) @ X3)))
% 196.75/28.67 = (s__02 @ (cfun__02 @ X0 @ cbool__00) @ X1))
% 196.75/28.67 | ~ (p__01 @
% 196.75/28.67 (s__02 @ cbool__00 @
% 196.75/28.67 (c_27const_2eset__sep_2eSPLIT_27__02 @
% 196.75/28.67 (s__02 @ (cfun__02 @ X0 @ cbool__00) @ X1) @
% 196.75/28.67 (s__02 @
% 196.75/28.67 (c_27type_2epair_2eprod_27__02 @
% 196.75/28.67 (cfun__02 @ X0 @ cbool__00) @ (cfun__02 @ X0 @ cbool__00)) @
% 196.75/28.67 (c_27const_2epair_2e_2c_27__02 @
% 196.75/28.67 (s__02 @ (cfun__02 @ X0 @ cbool__00) @ X2) @
% 196.75/28.67 (s__02 @ (cfun__02 @ X0 @ cbool__00) @ X3)))))))),
% 196.75/28.67 inference('cnf', [status(esa)], [thm.set_sep.SPLIT_def])).
% 196.75/28.67 thf(zip_derived_cl2412, plain,
% 196.75/28.67 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 196.75/28.67 (~ (p__01 @
% 196.75/28.67 (s__02 @ cbool__00 @
% 196.75/28.67 (chapp__02 @
% 196.75/28.67 (s__02 @ (cfun__02 @ (cfun__02 @ X0 @ cbool__00) @ cbool__00) @
% 196.75/28.67 (c_27const_2eset__sep_2eSTAR_27__02 @
% 196.75/28.67 (s__02 @
% 196.75/28.67 (cfun__02 @ (cfun__02 @ X0 @ cbool__00) @ cbool__00) @ X1) @
% 196.75/28.67 (s__02 @
% 196.75/28.67 (cfun__02 @ (cfun__02 @ X0 @ cbool__00) @ cbool__00) @ X2))) @
% 196.75/28.67 (s__02 @ (cfun__02 @ X0 @ cbool__00) @ X3))))
% 196.75/28.67 | ((s__02 @ (cfun__02 @ X0 @ cbool__00) @
% 196.75/28.67 (c_27const_2epred__set_2eUNION_27__02 @
% 196.75/28.67 (s__02 @ (cfun__02 @ X0 @ cbool__00) @
% 196.75/28.67 (sk__1 @ X3 @ X2 @ X1 @ X0)) @
% 196.75/28.67 (s__02 @ (cfun__02 @ X0 @ cbool__00) @
% 196.75/28.67 (sk__2 @ X3 @ X2 @ X1 @ X0))))
% 196.75/28.67 = (s__02 @ (cfun__02 @ X0 @ cbool__00) @ X3)))),
% 196.75/28.67 inference('s_sup-', [status(thm)], [zip_derived_cl172, zip_derived_cl168])).
% 196.75/28.67 thf(zip_derived_cl4559, plain,
% 196.75/28.67 ((~ (p__01 @ (s__02 @ cbool__00 @ cT__00))
% 196.75/28.67 | ((s__02 @ (cfun__02 @ sk__3 @ cbool__00) @
% 196.75/28.67 (c_27const_2epred__set_2eUNION_27__02 @
% 196.75/28.67 (s__02 @ (cfun__02 @ sk__3 @ cbool__00) @
% 196.75/28.67 (sk__1 @
% 196.75/28.67 (sk__1 @ sk__7 @ sk__6 @
% 196.75/28.67 (c_27const_2eset__sep_2eSTAR_27__02 @
% 196.75/28.67 (s__02 @
% 196.75/28.67 (cfun__02 @ (cfun__02 @ sk__3 @ cbool__00) @ cbool__00) @
% 196.75/28.67 sk__4) @
% 196.75/28.67 (s__02 @
% 196.75/28.67 (cfun__02 @ (cfun__02 @ sk__3 @ cbool__00) @ cbool__00) @
% 196.75/28.67 sk__5)) @
% 196.75/28.67 sk__3) @
% 196.75/28.67 sk__5 @ sk__4 @ sk__3)) @
% 196.75/28.67 (s__02 @ (cfun__02 @ sk__3 @ cbool__00) @
% 196.75/28.67 (sk__2 @
% 196.75/28.67 (sk__1 @ sk__7 @ sk__6 @
% 196.75/28.67 (c_27const_2eset__sep_2eSTAR_27__02 @
% 196.75/28.67 (s__02 @
% 196.75/28.67 (cfun__02 @ (cfun__02 @ sk__3 @ cbool__00) @ cbool__00) @
% 196.75/28.67 sk__4) @
% 196.75/28.67 (s__02 @
% 196.75/28.67 (cfun__02 @ (cfun__02 @ sk__3 @ cbool__00) @ cbool__00) @
% 196.75/28.67 sk__5)) @
% 196.75/28.67 sk__3) @
% 196.75/28.67 sk__5 @ sk__4 @ sk__3))))
% 196.75/28.67 = (s__02 @ (cfun__02 @ sk__3 @ cbool__00) @
% 196.75/28.67 (sk__1 @ sk__7 @ sk__6 @
% 196.75/28.67 (c_27const_2eset__sep_2eSTAR_27__02 @
% 196.75/28.67 (s__02 @
% 196.75/28.67 (cfun__02 @ (cfun__02 @ sk__3 @ cbool__00) @ cbool__00) @
% 196.75/28.67 sk__4) @
% 196.75/28.67 (s__02 @
% 196.75/28.67 (cfun__02 @ (cfun__02 @ sk__3 @ cbool__00) @ cbool__00) @
% 196.75/28.67 sk__5)) @
% 196.75/28.67 sk__3))))),
% 196.75/28.67 inference('s_sup-', [status(thm)],
% 196.75/28.67 [zip_derived_cl2342, zip_derived_cl2412])).
% 196.75/28.67 thf(zip_derived_cl0, plain, ( (p__01 @ (s__02 @ cbool__00 @ cT__00))),
% 196.75/28.67 inference('cnf', [status(esa)], [HL_TRUTH])).
% 196.75/28.67 thf(zip_derived_cl4564, plain,
% 196.75/28.67 (((s__02 @ (cfun__02 @ sk__3 @ cbool__00) @
% 196.75/28.67 (c_27const_2epred__set_2eUNION_27__02 @
% 196.75/28.67 (s__02 @ (cfun__02 @ sk__3 @ cbool__00) @
% 196.75/28.67 (sk__1 @
% 196.75/28.67 (sk__1 @ sk__7 @ sk__6 @
% 196.75/28.67 (c_27const_2eset__sep_2eSTAR_27__02 @
% 196.75/28.67 (s__02 @
% 196.75/28.67 (cfun__02 @ (cfun__02 @ sk__3 @ cbool__00) @ cbool__00) @ sk__4) @
% 196.75/28.67 (s__02 @
% 196.75/28.67 (cfun__02 @ (cfun__02 @ sk__3 @ cbool__00) @ cbool__00) @ sk__5)) @
% 196.75/28.67 sk__3) @
% 196.75/28.67 sk__5 @ sk__4 @ sk__3)) @
% 196.75/28.67 (s__02 @ (cfun__02 @ sk__3 @ cbool__00) @
% 196.75/28.67 (sk__2 @
% 196.75/28.67 (sk__1 @ sk__7 @ sk__6 @
% 196.75/28.67 (c_27const_2eset__sep_2eSTAR_27__02 @
% 196.75/28.67 (s__02 @
% 196.75/28.67 (cfun__02 @ (cfun__02 @ sk__3 @ cbool__00) @ cbool__00) @ sk__4) @
% 196.75/28.67 (s__02 @
% 196.75/28.67 (cfun__02 @ (cfun__02 @ sk__3 @ cbool__00) @ cbool__00) @ sk__5)) @
% 196.75/28.67 sk__3) @
% 196.75/28.67 sk__5 @ sk__4 @ sk__3))))
% 196.75/28.67 = (s__02 @ (cfun__02 @ sk__3 @ cbool__00) @
% 196.75/28.67 (sk__1 @ sk__7 @ sk__6 @
% 196.75/28.67 (c_27const_2eset__sep_2eSTAR_27__02 @
% 196.75/28.67 (s__02 @
% 196.75/28.67 (cfun__02 @ (cfun__02 @ sk__3 @ cbool__00) @ cbool__00) @ sk__4) @
% 196.75/28.67 (s__02 @
% 196.75/28.67 (cfun__02 @ (cfun__02 @ sk__3 @ cbool__00) @ cbool__00) @ sk__5)) @
% 196.75/28.67 sk__3)))),
% 196.75/28.67 inference('demod', [status(thm)], [zip_derived_cl4559, zip_derived_cl0])).
% 196.75/28.67 thf(thm.pred_set.DISJOINT_UNION, axiom,
% 196.75/28.67 (![V_27A_27:$i,V_27s_27:$i,V_27t_27:$i,V_27u_27:$i]:
% 196.75/28.67 ( ( p__01 @
% 196.75/28.67 ( s__02 @
% 196.75/28.67 cbool__00 @
% 196.75/28.67 ( c_27const_2epred__set_2eDISJOINT_27__02 @
% 196.75/28.67 ( s__02 @
% 196.75/28.67 ( cfun__02 @ V_27A_27 @ cbool__00 ) @
% 196.75/28.67 ( c_27const_2epred__set_2eUNION_27__02 @
% 196.75/28.67 ( s__02 @ ( cfun__02 @ V_27A_27 @ cbool__00 ) @ V_27s_27 ) @
% 196.75/28.67 ( s__02 @ ( cfun__02 @ V_27A_27 @ cbool__00 ) @ V_27t_27 ) ) ) @
% 196.75/28.67 ( s__02 @ ( cfun__02 @ V_27A_27 @ cbool__00 ) @ V_27u_27 ) ) ) ) <=>
% 196.75/28.67 ( ( p__01 @
% 196.75/28.67 ( s__02 @
% 196.75/28.67 cbool__00 @
% 196.75/28.67 ( c_27const_2epred__set_2eDISJOINT_27__02 @
% 196.75/28.67 ( s__02 @ ( cfun__02 @ V_27A_27 @ cbool__00 ) @ V_27s_27 ) @
% 196.75/28.67 ( s__02 @ ( cfun__02 @ V_27A_27 @ cbool__00 ) @ V_27u_27 ) ) ) ) &
% 196.75/28.67 ( p__01 @
% 196.75/28.67 ( s__02 @
% 196.75/28.67 cbool__00 @
% 196.75/28.67 ( c_27const_2epred__set_2eDISJOINT_27__02 @
% 196.75/28.67 ( s__02 @ ( cfun__02 @ V_27A_27 @ cbool__00 ) @ V_27t_27 ) @
% 196.75/28.67 ( s__02 @ ( cfun__02 @ V_27A_27 @ cbool__00 ) @ V_27u_27 ) ) ) ) ) ))).
% 196.75/28.67 thf(zip_derived_cl165, plain,
% 196.75/28.67 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 196.75/28.67 ( (p__01 @
% 196.75/28.67 (s__02 @ cbool__00 @
% 196.75/28.67 (c_27const_2epred__set_2eDISJOINT_27__02 @
% 196.75/28.67 (s__02 @ (cfun__02 @ X0 @ cbool__00) @ X1) @
% 196.75/28.67 (s__02 @ (cfun__02 @ X0 @ cbool__00) @ X2))))
% 196.75/28.67 | ~ (p__01 @
% 196.75/28.67 (s__02 @ cbool__00 @
% 196.75/28.67 (c_27const_2epred__set_2eDISJOINT_27__02 @
% 196.75/28.67 (s__02 @ (cfun__02 @ X0 @ cbool__00) @
% 196.75/28.67 (c_27const_2epred__set_2eUNION_27__02 @
% 196.75/28.67 (s__02 @ (cfun__02 @ X0 @ cbool__00) @ X1) @
% 196.75/28.67 (s__02 @ (cfun__02 @ X0 @ cbool__00) @ X3))) @
% 196.75/28.67 (s__02 @ (cfun__02 @ X0 @ cbool__00) @ X2)))))),
% 196.75/28.67 inference('cnf', [status(esa)], [thm.pred_set.DISJOINT_UNION])).
% 196.75/28.67 thf(zip_derived_cl5412, plain,
% 196.75/28.67 (![X0 : $i]:
% 196.75/28.67 ( (p__01 @
% 196.75/28.67 (s__02 @ cbool__00 @
% 196.75/28.67 (c_27const_2epred__set_2eDISJOINT_27__02 @
% 196.75/28.67 (s__02 @ (cfun__02 @ sk__3 @ cbool__00) @
% 196.75/28.67 (sk__1 @
% 196.75/28.67 (sk__1 @ sk__7 @ sk__6 @
% 196.75/28.67 (c_27const_2eset__sep_2eSTAR_27__02 @
% 196.75/28.67 (s__02 @
% 196.75/28.67 (cfun__02 @ (cfun__02 @ sk__3 @ cbool__00) @ cbool__00) @
% 196.75/28.67 sk__4) @
% 196.75/28.67 (s__02 @
% 196.75/28.67 (cfun__02 @ (cfun__02 @ sk__3 @ cbool__00) @ cbool__00) @
% 196.75/28.67 sk__5)) @
% 196.75/28.67 sk__3) @
% 196.75/28.67 sk__5 @ sk__4 @ sk__3)) @
% 196.75/28.67 (s__02 @ (cfun__02 @ sk__3 @ cbool__00) @ X0))))
% 196.75/28.67 | ~ (p__01 @
% 196.75/28.67 (s__02 @ cbool__00 @
% 196.75/28.67 (c_27const_2epred__set_2eDISJOINT_27__02 @
% 196.75/28.67 (s__02 @ (cfun__02 @ sk__3 @ cbool__00) @
% 196.75/28.67 (sk__1 @ sk__7 @ sk__6 @
% 196.75/28.67 (c_27const_2eset__sep_2eSTAR_27__02 @
% 196.75/28.67 (s__02 @
% 196.75/28.67 (cfun__02 @ (cfun__02 @ sk__3 @ cbool__00) @ cbool__00) @
% 196.75/28.67 sk__4) @
% 196.75/28.67 (s__02 @
% 196.75/28.67 (cfun__02 @ (cfun__02 @ sk__3 @ cbool__00) @ cbool__00) @
% 196.75/28.67 sk__5)) @
% 196.75/28.67 sk__3)) @
% 196.75/28.67 (s__02 @ (cfun__02 @ sk__3 @ cbool__00) @ X0)))))),
% 196.75/28.67 inference('s_sup-', [status(thm)],
% 196.75/28.67 [zip_derived_cl4564, zip_derived_cl165])).
% 196.75/28.67 thf(thm.cfHeapsBase.SPLIT3_def, axiom,
% 196.75/28.67 (![V_27A_27:$i,V_27s_27:$i,V_27u_27:$i,V_27v_27:$i,V_27w_27:$i]:
% 196.75/28.67 ( ( p__01 @
% 196.75/28.67 ( s__02 @
% 196.75/28.67 cbool__00 @
% 196.75/28.67 ( c_27const_2ecfHeapsBase_2eSPLIT3_27__02 @
% 196.75/28.67 ( s__02 @ ( cfun__02 @ V_27A_27 @ cbool__00 ) @ V_27s_27 ) @
% 196.75/28.67 ( s__02 @
% 196.75/28.67 ( c_27type_2epair_2eprod_27__02 @
% 196.75/28.67 ( cfun__02 @ V_27A_27 @ cbool__00 ) @
% 196.75/28.67 ( c_27type_2epair_2eprod_27__02 @
% 196.75/28.67 ( cfun__02 @ V_27A_27 @ cbool__00 ) @
% 196.75/28.67 ( cfun__02 @ V_27A_27 @ cbool__00 ) ) ) @
% 196.75/28.67 ( c_27const_2epair_2e_2c_27__02 @
% 196.75/28.67 ( s__02 @ ( cfun__02 @ V_27A_27 @ cbool__00 ) @ V_27u_27 ) @
% 196.75/28.67 ( s__02 @
% 196.75/28.67 ( c_27type_2epair_2eprod_27__02 @
% 196.75/28.67 ( cfun__02 @ V_27A_27 @ cbool__00 ) @
% 196.75/28.67 ( cfun__02 @ V_27A_27 @ cbool__00 ) ) @
% 196.75/28.67 ( c_27const_2epair_2e_2c_27__02 @
% 196.75/28.67 ( s__02 @ ( cfun__02 @ V_27A_27 @ cbool__00 ) @ V_27v_27 ) @
% 196.75/28.67 ( s__02 @ ( cfun__02 @ V_27A_27 @ cbool__00 ) @ V_27w_27 ) ) ) ) ) ) ) ) <=>
% 196.75/28.67 ( ( ( s__02 @
% 196.75/28.67 ( cfun__02 @ V_27A_27 @ cbool__00 ) @
% 196.75/28.67 ( c_27const_2epred__set_2eUNION_27__02 @
% 196.75/28.67 ( s__02 @
% 196.75/28.67 ( cfun__02 @ V_27A_27 @ cbool__00 ) @
% 196.75/28.67 ( c_27const_2epred__set_2eUNION_27__02 @
% 196.75/28.67 ( s__02 @ ( cfun__02 @ V_27A_27 @ cbool__00 ) @ V_27u_27 ) @
% 196.75/28.67 ( s__02 @ ( cfun__02 @ V_27A_27 @ cbool__00 ) @ V_27v_27 ) ) ) @
% 196.75/28.67 ( s__02 @ ( cfun__02 @ V_27A_27 @ cbool__00 ) @ V_27w_27 ) ) ) =
% 196.75/28.67 ( s__02 @ ( cfun__02 @ V_27A_27 @ cbool__00 ) @ V_27s_27 ) ) &
% 196.75/28.67 ( p__01 @
% 196.75/28.67 ( s__02 @
% 196.75/28.67 cbool__00 @
% 196.75/28.67 ( c_27const_2epred__set_2eDISJOINT_27__02 @
% 196.75/28.67 ( s__02 @ ( cfun__02 @ V_27A_27 @ cbool__00 ) @ V_27u_27 ) @
% 196.75/28.67 ( s__02 @ ( cfun__02 @ V_27A_27 @ cbool__00 ) @ V_27v_27 ) ) ) ) &
% 196.75/28.67 ( p__01 @
% 196.75/28.67 ( s__02 @
% 196.75/28.67 cbool__00 @
% 196.75/28.67 ( c_27const_2epred__set_2eDISJOINT_27__02 @
% 196.75/28.67 ( s__02 @ ( cfun__02 @ V_27A_27 @ cbool__00 ) @ V_27v_27 ) @
% 196.75/28.67 ( s__02 @ ( cfun__02 @ V_27A_27 @ cbool__00 ) @ V_27w_27 ) ) ) ) &
% 196.75/28.67 ( p__01 @
% 196.75/28.67 ( s__02 @
% 196.75/28.67 cbool__00 @
% 196.75/28.67 ( c_27const_2epred__set_2eDISJOINT_27__02 @
% 196.75/28.67 ( s__02 @ ( cfun__02 @ V_27A_27 @ cbool__00 ) @ V_27u_27 ) @
% 196.75/28.67 ( s__02 @ ( cfun__02 @ V_27A_27 @ cbool__00 ) @ V_27w_27 ) ) ) ) ) ))).
% 196.75/28.67 thf(zip_derived_cl179, plain,
% 196.75/28.67 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i]:
% 196.75/28.67 ( (p__01 @
% 196.75/28.67 (s__02 @ cbool__00 @
% 196.75/28.67 (c_27const_2ecfHeapsBase_2eSPLIT3_27__02 @
% 196.75/28.67 (s__02 @ (cfun__02 @ X0 @ cbool__00) @ X1) @
% 196.75/28.67 (s__02 @
% 196.75/28.67 (c_27type_2epair_2eprod_27__02 @ (cfun__02 @ X0 @ cbool__00) @
% 196.75/28.67 (c_27type_2epair_2eprod_27__02 @ (cfun__02 @ X0 @ cbool__00) @
% 196.75/28.67 (cfun__02 @ X0 @ cbool__00))) @
% 196.75/28.67 (c_27const_2epair_2e_2c_27__02 @
% 196.75/28.67 (s__02 @ (cfun__02 @ X0 @ cbool__00) @ X2) @
% 196.75/28.67 (s__02 @
% 196.75/28.67 (c_27type_2epair_2eprod_27__02 @
% 196.75/28.67 (cfun__02 @ X0 @ cbool__00) @ (cfun__02 @ X0 @ cbool__00)) @
% 196.75/28.67 (c_27const_2epair_2e_2c_27__02 @
% 196.75/28.67 (s__02 @ (cfun__02 @ X0 @ cbool__00) @ X3) @
% 196.75/28.67 (s__02 @ (cfun__02 @ X0 @ cbool__00) @ X4))))))))
% 196.75/28.67 | ~ (p__01 @
% 196.75/28.67 (s__02 @ cbool__00 @
% 196.75/28.67 (c_27const_2epred__set_2eDISJOINT_27__02 @
% 196.75/28.67 (s__02 @ (cfun__02 @ X0 @ cbool__00) @ X2) @
% 196.75/28.67 (s__02 @ (cfun__02 @ X0 @ cbool__00) @ X4))))
% 196.75/28.67 | ~ (p__01 @
% 196.75/28.67 (s__02 @ cbool__00 @
% 196.75/28.67 (c_27const_2epred__set_2eDISJOINT_27__02 @
% 196.75/28.67 (s__02 @ (cfun__02 @ X0 @ cbool__00) @ X3) @
% 196.75/28.67 (s__02 @ (cfun__02 @ X0 @ cbool__00) @ X4))))
% 196.75/28.67 | ~ (p__01 @
% 196.75/28.67 (s__02 @ cbool__00 @
% 196.75/28.67 (c_27const_2epred__set_2eDISJOINT_27__02 @
% 196.75/28.67 (s__02 @ (cfun__02 @ X0 @ cbool__00) @ X2) @
% 196.75/28.67 (s__02 @ (cfun__02 @ X0 @ cbool__00) @ X3))))
% 196.75/28.67 | ((s__02 @ (cfun__02 @ X0 @ cbool__00) @
% 196.75/28.67 (c_27const_2epred__set_2eUNION_27__02 @
% 196.75/28.67 (s__02 @ (cfun__02 @ X0 @ cbool__00) @
% 196.75/28.67 (c_27const_2epred__set_2eUNION_27__02 @
% 196.75/28.67 (s__02 @ (cfun__02 @ X0 @ cbool__00) @ X2) @
% 196.75/28.67 (s__02 @ (cfun__02 @ X0 @ cbool__00) @ X3))) @
% 196.75/28.67 (s__02 @ (cfun__02 @ X0 @ cbool__00) @ X4)))
% 196.75/28.67 != (s__02 @ (cfun__02 @ X0 @ cbool__00) @ X1)))),
% 196.75/28.67 inference('cnf', [status(esa)], [thm.cfHeapsBase.SPLIT3_def])).
% 196.75/28.67 thf(zip_derived_cl1691, plain,
% 196.75/28.67 (((s__02 @ cbool__00 @ cT__00)
% 196.75/28.67 = (s__02 @ cbool__00 @
% 196.75/28.67 (chapp__02 @
% 196.75/28.67 (s__02 @
% 196.75/28.67 (cfun__02 @ (cfun__02 @ sk__3 @ cbool__00) @ cbool__00) @
% 196.75/28.67 (c_27const_2eset__sep_2eSTAR_27__02 @
% 196.75/28.67 (s__02 @
% 196.75/28.67 (cfun__02 @ (cfun__02 @ sk__3 @ cbool__00) @ cbool__00) @
% 196.75/28.67 (c_27const_2eset__sep_2eSTAR_27__02 @
% 196.75/28.67 (s__02 @
% 196.75/28.67 (cfun__02 @ (cfun__02 @ sk__3 @ cbool__00) @ cbool__00) @
% 196.75/28.67 sk__4) @
% 196.75/28.67 (s__02 @
% 196.75/28.67 (cfun__02 @ (cfun__02 @ sk__3 @ cbool__00) @ cbool__00) @
% 196.75/28.67 sk__5))) @
% 196.75/28.67 (s__02 @
% 196.75/28.67 (cfun__02 @ (cfun__02 @ sk__3 @ cbool__00) @ cbool__00) @ sk__6))) @
% 196.75/28.67 (s__02 @ (cfun__02 @ sk__3 @ cbool__00) @ sk__7))))),
% 196.75/28.67 inference('s_sup-', [status(thm)], [zip_derived_cl180, zip_derived_cl32])).
% 196.75/28.67 thf(zip_derived_cl173, plain,
% 196.75/28.67 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 196.75/28.67 ( (p__01 @
% 196.75/28.67 (s__02 @ cbool__00 @
% 196.75/28.67 (chapp__02 @
% 196.75/28.67 (s__02 @ (cfun__02 @ (cfun__02 @ X0 @ cbool__00) @ cbool__00) @
% 196.75/28.67 X1) @
% 196.75/28.67 (s__02 @ (cfun__02 @ X0 @ cbool__00) @
% 196.75/28.67 (sk__2 @ X2 @ X1 @ X3 @ X0)))))
% 196.75/28.67 | ~ (p__01 @
% 196.75/28.67 (s__02 @ cbool__00 @
% 196.75/28.67 (chapp__02 @
% 196.75/28.67 (s__02 @
% 196.75/28.67 (cfun__02 @ (cfun__02 @ X0 @ cbool__00) @ cbool__00) @
% 196.75/28.67 (c_27const_2eset__sep_2eSTAR_27__02 @
% 196.75/28.67 (s__02 @
% 196.75/28.67 (cfun__02 @ (cfun__02 @ X0 @ cbool__00) @ cbool__00) @ X3) @
% 196.75/28.67 (s__02 @
% 196.75/28.67 (cfun__02 @ (cfun__02 @ X0 @ cbool__00) @ cbool__00) @ X1))) @
% 196.75/28.67 (s__02 @ (cfun__02 @ X0 @ cbool__00) @ X2)))))),
% 196.75/28.67 inference('cnf', [status(esa)], [thm.set_sep.STAR_def])).
% 196.75/28.67 thf(zip_derived_cl2430, plain,
% 196.75/28.67 (( (p__01 @
% 196.75/28.67 (s__02 @ cbool__00 @
% 196.75/28.67 (chapp__02 @
% 196.75/28.67 (s__02 @ (cfun__02 @ (cfun__02 @ sk__3 @ cbool__00) @ cbool__00) @
% 196.75/28.67 sk__6) @
% 196.75/28.67 (s__02 @ (cfun__02 @ sk__3 @ cbool__00) @
% 196.75/28.67 (sk__2 @ sk__7 @ sk__6 @
% 196.75/28.67 (c_27const_2eset__sep_2eSTAR_27__02 @
% 196.75/28.67 (s__02 @
% 196.75/28.67 (cfun__02 @ (cfun__02 @ sk__3 @ cbool__00) @ cbool__00) @ sk__4) @
% 196.75/28.67 (s__02 @
% 196.75/28.67 (cfun__02 @ (cfun__02 @ sk__3 @ cbool__00) @ cbool__00) @ sk__5)) @
% 196.75/28.67 sk__3)))))
% 196.75/28.67 | ~ (p__01 @ (s__02 @ cbool__00 @ cT__00)))),
% 196.75/28.67 inference('s_sup-', [status(thm)],
% 196.75/28.67 [zip_derived_cl1691, zip_derived_cl173])).
% 196.75/28.67 thf(zip_derived_cl0, plain, ( (p__01 @ (s__02 @ cbool__00 @ cT__00))),
% 196.75/28.67 inference('cnf', [status(esa)], [HL_TRUTH])).
% 196.75/28.67 thf(zip_derived_cl2434, plain,
% 196.75/28.67 ( (p__01 @
% 196.75/28.67 (s__02 @ cbool__00 @
% 196.75/28.67 (chapp__02 @
% 196.75/28.67 (s__02 @ (cfun__02 @ (cfun__02 @ sk__3 @ cbool__00) @ cbool__00) @
% 196.75/28.67 sk__6) @
% 196.75/28.67 (s__02 @ (cfun__02 @ sk__3 @ cbool__00) @
% 196.75/28.67 (sk__2 @ sk__7 @ sk__6 @
% 196.75/28.67 (c_27const_2eset__sep_2eSTAR_27__02 @
% 196.75/28.67 (s__02 @
% 196.75/28.67 (cfun__02 @ (cfun__02 @ sk__3 @ cbool__00) @ cbool__00) @ sk__4) @
% 196.75/28.67 (s__02 @
% 196.75/28.67 (cfun__02 @ (cfun__02 @ sk__3 @ cbool__00) @ cbool__00) @ sk__5)) @
% 196.75/28.67 sk__3)))))),
% 196.75/28.67 inference('demod', [status(thm)], [zip_derived_cl2430, zip_derived_cl0])).
% 196.75/28.67 thf(zip_derived_cl32, plain,
% 196.75/28.67 (![X0 : $i]:
% 196.75/28.67 (((s__02 @ cbool__00 @ cT__00) = (s__02 @ cbool__00 @ X0))
% 196.75/28.67 | ~ (p__01 @ (s__02 @ cbool__00 @ X0)))),
% 196.75/28.67 inference('cnf', [status(esa)], [thm.bool.EQ_CLAUSES])).
% 196.75/28.67 thf(zip_derived_cl2448, plain,
% 196.75/28.67 (((s__02 @ cbool__00 @ cT__00)
% 196.75/28.67 = (s__02 @ cbool__00 @
% 196.75/28.67 (chapp__02 @
% 196.75/28.67 (s__02 @
% 196.75/28.67 (cfun__02 @ (cfun__02 @ sk__3 @ cbool__00) @ cbool__00) @ sk__6) @
% 196.75/28.67 (s__02 @ (cfun__02 @ sk__3 @ cbool__00) @
% 196.75/28.67 (sk__2 @ sk__7 @ sk__6 @
% 196.75/28.67 (c_27const_2eset__sep_2eSTAR_27__02 @
% 196.75/28.67 (s__02 @
% 196.75/28.67 (cfun__02 @ (cfun__02 @ sk__3 @ cbool__00) @ cbool__00) @
% 196.75/28.67 sk__4) @
% 196.75/28.67 (s__02 @
% 196.75/28.67 (cfun__02 @ (cfun__02 @ sk__3 @ cbool__00) @ cbool__00) @
% 196.75/28.67 sk__5)) @
% 196.75/28.67 sk__3)))))),
% 196.75/28.67 inference('s_sup-', [status(thm)], [zip_derived_cl2434, zip_derived_cl32])).
% 196.75/28.67 thf(zip_derived_cl2341, plain,
% 196.75/28.67 ( (p__01 @
% 196.75/28.67 (s__02 @ cbool__00 @
% 196.75/28.67 (chapp__02 @
% 196.75/28.67 (s__02 @ (cfun__02 @ (cfun__02 @ sk__3 @ cbool__00) @ cbool__00) @
% 196.75/28.67 (c_27const_2eset__sep_2eSTAR_27__02 @
% 196.75/28.67 (s__02 @
% 196.75/28.67 (cfun__02 @ (cfun__02 @ sk__3 @ cbool__00) @ cbool__00) @ sk__4) @
% 196.75/28.67 (s__02 @
% 196.75/28.67 (cfun__02 @ (cfun__02 @ sk__3 @ cbool__00) @ cbool__00) @ sk__5))) @
% 196.75/28.67 (s__02 @ (cfun__02 @ sk__3 @ cbool__00) @
% 196.75/28.67 (sk__1 @ sk__7 @ sk__6 @
% 196.75/28.67 (c_27const_2eset__sep_2eSTAR_27__02 @
% 196.75/28.67 (s__02 @
% 196.75/28.67 (cfun__02 @ (cfun__02 @ sk__3 @ cbool__00) @ cbool__00) @ sk__4) @
% 196.75/28.67 (s__02 @
% 196.75/28.67 (cfun__02 @ (cfun__02 @ sk__3 @ cbool__00) @ cbool__00) @ sk__5)) @
% 196.75/28.67 sk__3)))))),
% 196.75/28.67 inference('demod', [status(thm)], [zip_derived_cl2337, zip_derived_cl0])).
% 196.75/28.67 thf(zip_derived_cl171, plain,
% 196.75/28.67 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 196.75/28.67 ( (p__01 @
% 196.75/28.67 (s__02 @ cbool__00 @
% 196.75/28.67 (chapp__02 @
% 196.75/28.67 (s__02 @ (cfun__02 @ (cfun__02 @ X0 @ cbool__00) @ cbool__00) @
% 196.75/28.67 X1) @
% 196.75/28.67 (s__02 @ (cfun__02 @ X0 @ cbool__00) @
% 196.75/28.67 (sk__1 @ X2 @ X3 @ X1 @ X0)))))
% 196.75/28.67 | ~ (p__01 @
% 196.75/28.67 (s__02 @ cbool__00 @
% 196.75/28.67 (chapp__02 @
% 196.75/28.67 (s__02 @
% 196.75/28.67 (cfun__02 @ (cfun__02 @ X0 @ cbool__00) @ cbool__00) @
% 196.75/28.67 (c_27const_2eset__sep_2eSTAR_27__02 @
% 196.75/28.67 (s__02 @
% 196.75/28.67 (cfun__02 @ (cfun__02 @ X0 @ cbool__00) @ cbool__00) @ X1) @
% 196.75/28.67 (s__02 @
% 196.75/28.67 (cfun__02 @ (cfun__02 @ X0 @ cbool__00) @ cbool__00) @ X3))) @
% 196.75/28.67 (s__02 @ (cfun__02 @ X0 @ cbool__00) @ X2)))))),
% 196.75/28.67 inference('cnf', [status(esa)], [thm.set_sep.STAR_def])).
% 196.75/28.67 thf(zip_derived_cl2350, plain,
% 196.75/28.67 ( (p__01 @
% 196.75/28.67 (s__02 @ cbool__00 @
% 196.75/28.67 (chapp__02 @
% 196.75/28.67 (s__02 @ (cfun__02 @ (cfun__02 @ sk__3 @ cbool__00) @ cbool__00) @
% 196.75/28.67 sk__4) @
% 196.75/28.67 (s__02 @ (cfun__02 @ sk__3 @ cbool__00) @
% 196.75/28.67 (sk__1 @
% 196.75/28.67 (sk__1 @ sk__7 @ sk__6 @
% 196.75/28.67 (c_27const_2eset__sep_2eSTAR_27__02 @
% 196.75/28.67 (s__02 @
% 196.75/28.67 (cfun__02 @ (cfun__02 @ sk__3 @ cbool__00) @ cbool__00) @ sk__4) @
% 196.75/28.67 (s__02 @
% 196.75/28.67 (cfun__02 @ (cfun__02 @ sk__3 @ cbool__00) @ cbool__00) @ sk__5)) @
% 196.75/28.67 sk__3) @
% 196.75/28.67 sk__5 @ sk__4 @ sk__3)))))),
% 196.75/28.67 inference('s_sup-', [status(thm)],
% 196.75/28.67 [zip_derived_cl2341, zip_derived_cl171])).
% 196.75/28.67 thf(zip_derived_cl32, plain,
% 196.75/28.67 (![X0 : $i]:
% 196.75/28.67 (((s__02 @ cbool__00 @ cT__00) = (s__02 @ cbool__00 @ X0))
% 196.75/28.67 | ~ (p__01 @ (s__02 @ cbool__00 @ X0)))),
% 196.75/28.67 inference('cnf', [status(esa)], [thm.bool.EQ_CLAUSES])).
% 196.75/28.67 thf(zip_derived_cl2905, plain,
% 196.75/28.67 (((s__02 @ cbool__00 @ cT__00)
% 196.75/28.67 = (s__02 @ cbool__00 @
% 196.75/28.67 (chapp__02 @
% 196.75/28.67 (s__02 @
% 196.75/28.67 (cfun__02 @ (cfun__02 @ sk__3 @ cbool__00) @ cbool__00) @ sk__4) @
% 196.75/28.67 (s__02 @ (cfun__02 @ sk__3 @ cbool__00) @
% 196.75/28.67 (sk__1 @
% 196.75/28.67 (sk__1 @ sk__7 @ sk__6 @
% 196.75/28.67 (c_27const_2eset__sep_2eSTAR_27__02 @
% 196.75/28.67 (s__02 @
% 196.75/28.67 (cfun__02 @ (cfun__02 @ sk__3 @ cbool__00) @ cbool__00) @
% 196.75/28.67 sk__4) @
% 196.75/28.67 (s__02 @
% 196.75/28.67 (cfun__02 @ (cfun__02 @ sk__3 @ cbool__00) @ cbool__00) @
% 196.75/28.67 sk__5)) @
% 196.75/28.67 sk__3) @
% 196.75/28.67 sk__5 @ sk__4 @ sk__3)))))),
% 196.75/28.67 inference('s_sup-', [status(thm)], [zip_derived_cl2350, zip_derived_cl32])).
% 196.75/28.67 thf(zip_derived_cl33, plain,
% 196.75/28.67 (![X0 : $i]:
% 196.75/28.67 ( (p__01 @ (s__02 @ cbool__00 @ X0))
% 196.75/28.67 | ((s__02 @ cbool__00 @ cT__00) != (s__02 @ cbool__00 @ X0)))),
% 196.75/28.67 inference('cnf', [status(esa)], [thm.bool.EQ_CLAUSES])).
% 196.75/28.67 thf(zip_derived_cl2341, plain,
% 196.75/28.67 ( (p__01 @
% 196.75/28.67 (s__02 @ cbool__00 @
% 196.75/28.67 (chapp__02 @
% 196.75/28.67 (s__02 @ (cfun__02 @ (cfun__02 @ sk__3 @ cbool__00) @ cbool__00) @
% 196.75/28.67 (c_27const_2eset__sep_2eSTAR_27__02 @
% 196.75/28.67 (s__02 @
% 196.75/28.67 (cfun__02 @ (cfun__02 @ sk__3 @ cbool__00) @ cbool__00) @ sk__4) @
% 196.75/28.67 (s__02 @
% 196.75/28.67 (cfun__02 @ (cfun__02 @ sk__3 @ cbool__00) @ cbool__00) @ sk__5))) @
% 196.75/28.67 (s__02 @ (cfun__02 @ sk__3 @ cbool__00) @
% 196.75/28.67 (sk__1 @ sk__7 @ sk__6 @
% 196.75/28.67 (c_27const_2eset__sep_2eSTAR_27__02 @
% 196.75/28.67 (s__02 @
% 196.75/28.67 (cfun__02 @ (cfun__02 @ sk__3 @ cbool__00) @ cbool__00) @ sk__4) @
% 196.75/28.67 (s__02 @
% 196.75/28.67 (cfun__02 @ (cfun__02 @ sk__3 @ cbool__00) @ cbool__00) @ sk__5)) @
% 196.75/28.67 sk__3)))))),
% 196.75/28.67 inference('demod', [status(thm)], [zip_derived_cl2337, zip_derived_cl0])).
% 196.75/28.67 thf(zip_derived_cl173, plain,
% 196.75/28.67 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 196.75/28.67 ( (p__01 @
% 196.75/28.67 (s__02 @ cbool__00 @
% 196.75/28.67 (chapp__02 @
% 196.75/28.67 (s__02 @ (cfun__02 @ (cfun__02 @ X0 @ cbool__00) @ cbool__00) @
% 196.75/28.67 X1) @
% 196.75/28.67 (s__02 @ (cfun__02 @ X0 @ cbool__00) @
% 196.75/28.67 (sk__2 @ X2 @ X1 @ X3 @ X0)))))
% 196.75/28.67 | ~ (p__01 @
% 196.75/28.67 (s__02 @ cbool__00 @
% 196.75/28.67 (chapp__02 @
% 196.75/28.67 (s__02 @
% 196.75/28.67 (cfun__02 @ (cfun__02 @ X0 @ cbool__00) @ cbool__00) @
% 196.75/28.67 (c_27const_2eset__sep_2eSTAR_27__02 @
% 196.75/28.67 (s__02 @
% 196.75/28.67 (cfun__02 @ (cfun__02 @ X0 @ cbool__00) @ cbool__00) @ X3) @
% 196.75/28.67 (s__02 @
% 196.75/28.67 (cfun__02 @ (cfun__02 @ X0 @ cbool__00) @ cbool__00) @ X1))) @
% 196.75/28.67 (s__02 @ (cfun__02 @ X0 @ cbool__00) @ X2)))))),
% 196.75/28.67 inference('cnf', [status(esa)], [thm.set_sep.STAR_def])).
% 196.75/28.67 thf(zip_derived_cl2424, plain,
% 196.75/28.67 ( (p__01 @
% 196.75/28.67 (s__02 @ cbool__00 @
% 196.75/28.67 (chapp__02 @
% 196.75/28.67 (s__02 @ (cfun__02 @ (cfun__02 @ sk__3 @ cbool__00) @ cbool__00) @
% 196.75/28.67 sk__5) @
% 196.75/28.67 (s__02 @ (cfun__02 @ sk__3 @ cbool__00) @
% 196.75/28.67 (sk__2 @
% 196.75/28.67 (sk__1 @ sk__7 @ sk__6 @
% 196.75/28.67 (c_27const_2eset__sep_2eSTAR_27__02 @
% 196.75/28.67 (s__02 @
% 196.75/28.67 (cfun__02 @ (cfun__02 @ sk__3 @ cbool__00) @ cbool__00) @ sk__4) @
% 196.75/28.67 (s__02 @
% 196.75/28.67 (cfun__02 @ (cfun__02 @ sk__3 @ cbool__00) @ cbool__00) @ sk__5)) @
% 196.75/28.67 sk__3) @
% 196.75/28.67 sk__5 @ sk__4 @ sk__3)))))),
% 196.75/28.67 inference('s_sup-', [status(thm)],
% 196.75/28.67 [zip_derived_cl2341, zip_derived_cl173])).
% 196.75/28.67 thf(zip_derived_cl181, plain,
% 196.75/28.67 (![X0 : $i, X1 : $i, X2 : $i]:
% 196.75/28.67 (~ (p__01 @
% 196.75/28.67 (s__02 @ cbool__00 @
% 196.75/28.67 (chapp__02 @
% 196.75/28.67 (s__02 @
% 196.75/28.67 (cfun__02 @ (cfun__02 @ sk__3 @ cbool__00) @ cbool__00) @ sk__5) @
% 196.75/28.67 (s__02 @ (cfun__02 @ sk__3 @ cbool__00) @ X0))))
% 196.75/28.67 | ~ (p__01 @
% 196.75/28.67 (s__02 @ cbool__00 @
% 196.75/28.67 (chapp__02 @
% 196.75/28.67 (s__02 @
% 196.75/28.67 (cfun__02 @ (cfun__02 @ sk__3 @ cbool__00) @ cbool__00) @
% 196.75/28.67 sk__4) @
% 196.75/28.67 (s__02 @ (cfun__02 @ sk__3 @ cbool__00) @ X1))))
% 196.75/28.67 | ~ (p__01 @
% 196.75/28.67 (s__02 @ cbool__00 @
% 196.75/28.67 (c_27const_2ecfHeapsBase_2eSPLIT3_27__02 @
% 196.75/28.67 (s__02 @ (cfun__02 @ sk__3 @ cbool__00) @ sk__7) @
% 196.75/28.67 (s__02 @
% 196.75/28.67 (c_27type_2epair_2eprod_27__02 @
% 196.75/28.67 (cfun__02 @ sk__3 @ cbool__00) @
% 196.75/28.67 (c_27type_2epair_2eprod_27__02 @
% 196.75/28.67 (cfun__02 @ sk__3 @ cbool__00) @
% 196.75/28.67 (cfun__02 @ sk__3 @ cbool__00))) @
% 196.75/28.67 (c_27const_2epair_2e_2c_27__02 @
% 196.75/28.67 (s__02 @ (cfun__02 @ sk__3 @ cbool__00) @ X1) @
% 196.75/28.67 (s__02 @
% 196.75/28.67 (c_27type_2epair_2eprod_27__02 @
% 196.75/28.67 (cfun__02 @ sk__3 @ cbool__00) @
% 196.75/28.67 (cfun__02 @ sk__3 @ cbool__00)) @
% 196.75/28.67 (c_27const_2epair_2e_2c_27__02 @
% 196.75/28.67 (s__02 @ (cfun__02 @ sk__3 @ cbool__00) @ X0) @
% 196.75/28.67 (s__02 @ (cfun__02 @ sk__3 @ cbool__00) @ X2))))))))
% 196.75/28.67 | ~ (p__01 @
% 196.75/28.67 (s__02 @ cbool__00 @
% 196.75/28.67 (chapp__02 @
% 196.75/28.67 (s__02 @
% 196.75/28.67 (cfun__02 @ (cfun__02 @ sk__3 @ cbool__00) @ cbool__00) @
% 196.75/28.67 sk__6) @
% 196.75/28.67 (s__02 @ (cfun__02 @ sk__3 @ cbool__00) @ X2)))))),
% 196.75/28.67 inference('cnf', [status(esa)], [zf_stmt_0])).
% 196.75/28.67 thf(zip_derived_cl3160, plain,
% 196.75/28.67 (![X0 : $i, X1 : $i]:
% 196.75/28.67 (~ (p__01 @
% 196.75/28.67 (s__02 @ cbool__00 @
% 196.75/28.67 (chapp__02 @
% 196.75/28.67 (s__02 @
% 196.75/28.67 (cfun__02 @ (cfun__02 @ sk__3 @ cbool__00) @ cbool__00) @ sk__4) @
% 196.75/28.67 (s__02 @ (cfun__02 @ sk__3 @ cbool__00) @ X0))))
% 196.75/28.67 | ~ (p__01 @
% 196.75/28.67 (s__02 @ cbool__00 @
% 196.75/28.67 (c_27const_2ecfHeapsBase_2eSPLIT3_27__02 @
% 196.75/28.67 (s__02 @ (cfun__02 @ sk__3 @ cbool__00) @ sk__7) @
% 196.75/28.67 (s__02 @
% 196.75/28.67 (c_27type_2epair_2eprod_27__02 @
% 196.75/28.67 (cfun__02 @ sk__3 @ cbool__00) @
% 196.75/28.67 (c_27type_2epair_2eprod_27__02 @
% 196.75/28.67 (cfun__02 @ sk__3 @ cbool__00) @
% 196.75/28.67 (cfun__02 @ sk__3 @ cbool__00))) @
% 196.75/28.67 (c_27const_2epair_2e_2c_27__02 @
% 196.75/28.67 (s__02 @ (cfun__02 @ sk__3 @ cbool__00) @ X0) @
% 196.75/28.67 (s__02 @
% 196.75/28.67 (c_27type_2epair_2eprod_27__02 @
% 196.75/28.67 (cfun__02 @ sk__3 @ cbool__00) @
% 196.75/28.67 (cfun__02 @ sk__3 @ cbool__00)) @
% 196.75/28.67 (c_27const_2epair_2e_2c_27__02 @
% 196.75/28.67 (s__02 @ (cfun__02 @ sk__3 @ cbool__00) @
% 196.75/28.67 (sk__2 @
% 196.75/28.67 (sk__1 @ sk__7 @ sk__6 @
% 196.75/28.67 (c_27const_2eset__sep_2eSTAR_27__02 @
% 196.75/28.67 (s__02 @
% 196.75/28.67 (cfun__02 @ (cfun__02 @ sk__3 @ cbool__00) @
% 196.75/28.67 cbool__00) @
% 196.75/28.67 sk__4) @
% 196.75/28.67 (s__02 @
% 196.75/28.67 (cfun__02 @ (cfun__02 @ sk__3 @ cbool__00) @
% 196.75/28.67 cbool__00) @
% 196.75/28.67 sk__5)) @
% 196.75/28.67 sk__3) @
% 196.75/28.67 sk__5 @ sk__4 @ sk__3)) @
% 196.75/28.67 (s__02 @ (cfun__02 @ sk__3 @ cbool__00) @ X1))))))))
% 196.75/28.67 | ~ (p__01 @
% 196.75/28.67 (s__02 @ cbool__00 @
% 196.75/28.67 (chapp__02 @
% 196.75/28.67 (s__02 @
% 196.75/28.67 (cfun__02 @ (cfun__02 @ sk__3 @ cbool__00) @ cbool__00) @
% 196.75/28.67 sk__6) @
% 196.75/28.67 (s__02 @ (cfun__02 @ sk__3 @ cbool__00) @ X1)))))),
% 196.75/28.67 inference('s_sup-', [status(thm)],
% 196.75/28.67 [zip_derived_cl2424, zip_derived_cl181])).
% 196.75/28.67 thf(zip_derived_cl3184, plain,
% 196.75/28.67 (![X0 : $i, X1 : $i]:
% 196.75/28.67 (((s__02 @ cbool__00 @ cT__00)
% 196.75/28.67 != (s__02 @ cbool__00 @
% 196.75/28.67 (chapp__02 @
% 196.75/28.67 (s__02 @
% 196.75/28.67 (cfun__02 @ (cfun__02 @ sk__3 @ cbool__00) @ cbool__00) @
% 196.75/28.67 sk__4) @
% 196.75/28.67 (s__02 @ (cfun__02 @ sk__3 @ cbool__00) @ X0))))
% 196.75/28.67 | ~ (p__01 @
% 196.75/28.67 (s__02 @ cbool__00 @
% 196.75/28.67 (c_27const_2ecfHeapsBase_2eSPLIT3_27__02 @
% 196.75/28.67 (s__02 @ (cfun__02 @ sk__3 @ cbool__00) @ sk__7) @
% 196.75/28.67 (s__02 @
% 196.75/28.67 (c_27type_2epair_2eprod_27__02 @
% 196.75/28.67 (cfun__02 @ sk__3 @ cbool__00) @
% 196.75/28.67 (c_27type_2epair_2eprod_27__02 @
% 196.75/28.67 (cfun__02 @ sk__3 @ cbool__00) @
% 196.75/28.67 (cfun__02 @ sk__3 @ cbool__00))) @
% 196.75/28.67 (c_27const_2epair_2e_2c_27__02 @
% 196.75/28.67 (s__02 @ (cfun__02 @ sk__3 @ cbool__00) @ X0) @
% 196.75/28.67 (s__02 @
% 196.75/28.67 (c_27type_2epair_2eprod_27__02 @
% 196.75/28.67 (cfun__02 @ sk__3 @ cbool__00) @
% 196.75/28.67 (cfun__02 @ sk__3 @ cbool__00)) @
% 196.75/28.67 (c_27const_2epair_2e_2c_27__02 @
% 196.75/28.67 (s__02 @ (cfun__02 @ sk__3 @ cbool__00) @
% 196.75/28.67 (sk__2 @
% 196.75/28.67 (sk__1 @ sk__7 @ sk__6 @
% 196.75/28.67 (c_27const_2eset__sep_2eSTAR_27__02 @
% 196.75/28.67 (s__02 @
% 196.75/28.67 (cfun__02 @ (cfun__02 @ sk__3 @ cbool__00) @
% 196.75/28.67 cbool__00) @
% 196.75/28.67 sk__4) @
% 196.75/28.67 (s__02 @
% 196.75/28.67 (cfun__02 @ (cfun__02 @ sk__3 @ cbool__00) @
% 196.75/28.67 cbool__00) @
% 196.75/28.67 sk__5)) @
% 196.75/28.67 sk__3) @
% 196.75/28.67 sk__5 @ sk__4 @ sk__3)) @
% 196.75/28.67 (s__02 @ (cfun__02 @ sk__3 @ cbool__00) @ X1))))))))
% 196.75/28.67 | ~ (p__01 @
% 196.75/28.67 (s__02 @ cbool__00 @
% 196.75/28.67 (chapp__02 @
% 196.75/28.67 (s__02 @
% 196.75/28.67 (cfun__02 @ (cfun__02 @ sk__3 @ cbool__00) @ cbool__00) @
% 196.75/28.67 sk__6) @
% 196.75/28.67 (s__02 @ (cfun__02 @ sk__3 @ cbool__00) @ X1)))))),
% 196.75/28.67 inference('s_sup-', [status(thm)], [zip_derived_cl33, zip_derived_cl3160])).
% 196.75/28.67 thf(zip_derived_cl4542, plain,
% 196.75/28.67 (![X0 : $i]:
% 196.75/28.67 (((s__02 @ cbool__00 @ cT__00) != (s__02 @ cbool__00 @ cT__00))
% 196.75/28.67 | ~ (p__01 @
% 196.75/28.67 (s__02 @ cbool__00 @
% 196.75/28.67 (c_27const_2ecfHeapsBase_2eSPLIT3_27__02 @
% 196.75/28.67 (s__02 @ (cfun__02 @ sk__3 @ cbool__00) @ sk__7) @
% 196.75/28.67 (s__02 @
% 196.75/28.67 (c_27type_2epair_2eprod_27__02 @
% 196.75/28.67 (cfun__02 @ sk__3 @ cbool__00) @
% 196.75/28.67 (c_27type_2epair_2eprod_27__02 @
% 196.75/28.67 (cfun__02 @ sk__3 @ cbool__00) @
% 196.75/28.67 (cfun__02 @ sk__3 @ cbool__00))) @
% 196.75/28.67 (c_27const_2epair_2e_2c_27__02 @
% 196.75/28.67 (s__02 @ (cfun__02 @ sk__3 @ cbool__00) @
% 196.75/28.67 (sk__1 @
% 196.75/28.67 (sk__1 @ sk__7 @ sk__6 @
% 196.75/28.67 (c_27const_2eset__sep_2eSTAR_27__02 @
% 196.75/28.67 (s__02 @
% 196.75/28.67 (cfun__02 @ (cfun__02 @ sk__3 @ cbool__00) @ cbool__00) @
% 196.75/28.67 sk__4) @
% 196.75/28.67 (s__02 @
% 196.75/28.67 (cfun__02 @ (cfun__02 @ sk__3 @ cbool__00) @ cbool__00) @
% 196.75/28.67 sk__5)) @
% 196.75/28.67 sk__3) @
% 196.75/28.67 sk__5 @ sk__4 @ sk__3)) @
% 196.75/28.67 (s__02 @
% 196.75/28.67 (c_27type_2epair_2eprod_27__02 @
% 196.75/28.67 (cfun__02 @ sk__3 @ cbool__00) @
% 196.75/28.67 (cfun__02 @ sk__3 @ cbool__00)) @
% 196.75/28.67 (c_27const_2epair_2e_2c_27__02 @
% 196.75/28.67 (s__02 @ (cfun__02 @ sk__3 @ cbool__00) @
% 196.75/28.67 (sk__2 @
% 196.75/28.67 (sk__1 @ sk__7 @ sk__6 @
% 196.75/28.67 (c_27const_2eset__sep_2eSTAR_27__02 @
% 196.75/28.67 (s__02 @
% 196.75/28.67 (cfun__02 @ (cfun__02 @ sk__3 @ cbool__00) @
% 196.75/28.67 cbool__00) @
% 196.75/28.67 sk__4) @
% 196.75/28.67 (s__02 @
% 196.75/28.67 (cfun__02 @ (cfun__02 @ sk__3 @ cbool__00) @
% 196.75/28.67 cbool__00) @
% 196.75/28.67 sk__5)) @
% 196.75/28.67 sk__3) @
% 196.75/28.67 sk__5 @ sk__4 @ sk__3)) @
% 196.75/28.67 (s__02 @ (cfun__02 @ sk__3 @ cbool__00) @ X0))))))))
% 196.75/28.67 | ~ (p__01 @
% 196.75/28.67 (s__02 @ cbool__00 @
% 196.75/28.67 (chapp__02 @
% 196.75/28.67 (s__02 @
% 196.75/28.67 (cfun__02 @ (cfun__02 @ sk__3 @ cbool__00) @ cbool__00) @
% 196.75/28.67 sk__6) @
% 196.75/28.67 (s__02 @ (cfun__02 @ sk__3 @ cbool__00) @ X0)))))),
% 196.75/28.67 inference('s_sup-', [status(thm)],
% 196.75/28.67 [zip_derived_cl2905, zip_derived_cl3184])).
% 196.75/28.67 thf(zip_derived_cl4545, plain,
% 196.75/28.67 (![X0 : $i]:
% 196.75/28.67 (~ (p__01 @
% 196.75/28.67 (s__02 @ cbool__00 @
% 196.75/28.67 (chapp__02 @
% 196.75/28.67 (s__02 @
% 196.75/28.67 (cfun__02 @ (cfun__02 @ sk__3 @ cbool__00) @ cbool__00) @ sk__6) @
% 196.75/28.67 (s__02 @ (cfun__02 @ sk__3 @ cbool__00) @ X0))))
% 196.75/28.67 | ~ (p__01 @
% 196.75/28.67 (s__02 @ cbool__00 @
% 196.75/28.67 (c_27const_2ecfHeapsBase_2eSPLIT3_27__02 @
% 196.75/28.67 (s__02 @ (cfun__02 @ sk__3 @ cbool__00) @ sk__7) @
% 196.75/28.67 (s__02 @
% 196.75/28.67 (c_27type_2epair_2eprod_27__02 @
% 196.75/28.67 (cfun__02 @ sk__3 @ cbool__00) @
% 196.75/28.67 (c_27type_2epair_2eprod_27__02 @
% 196.75/28.67 (cfun__02 @ sk__3 @ cbool__00) @
% 196.75/28.67 (cfun__02 @ sk__3 @ cbool__00))) @
% 196.75/28.67 (c_27const_2epair_2e_2c_27__02 @
% 196.75/28.67 (s__02 @ (cfun__02 @ sk__3 @ cbool__00) @
% 196.75/28.67 (sk__1 @
% 196.75/28.67 (sk__1 @ sk__7 @ sk__6 @
% 196.75/28.67 (c_27const_2eset__sep_2eSTAR_27__02 @
% 196.75/28.67 (s__02 @
% 196.75/28.67 (cfun__02 @ (cfun__02 @ sk__3 @ cbool__00) @ cbool__00) @
% 196.75/28.67 sk__4) @
% 196.75/28.67 (s__02 @
% 196.75/28.67 (cfun__02 @ (cfun__02 @ sk__3 @ cbool__00) @ cbool__00) @
% 196.75/28.67 sk__5)) @
% 196.75/28.67 sk__3) @
% 196.75/28.67 sk__5 @ sk__4 @ sk__3)) @
% 196.75/28.67 (s__02 @
% 196.75/28.67 (c_27type_2epair_2eprod_27__02 @
% 196.75/28.67 (cfun__02 @ sk__3 @ cbool__00) @
% 196.75/28.67 (cfun__02 @ sk__3 @ cbool__00)) @
% 196.75/28.67 (c_27const_2epair_2e_2c_27__02 @
% 196.75/28.67 (s__02 @ (cfun__02 @ sk__3 @ cbool__00) @
% 196.75/28.67 (sk__2 @
% 196.75/28.67 (sk__1 @ sk__7 @ sk__6 @
% 196.75/28.67 (c_27const_2eset__sep_2eSTAR_27__02 @
% 196.75/28.67 (s__02 @
% 196.75/28.67 (cfun__02 @ (cfun__02 @ sk__3 @ cbool__00) @
% 196.75/28.67 cbool__00) @
% 196.75/28.67 sk__4) @
% 196.75/28.67 (s__02 @
% 196.75/28.67 (cfun__02 @ (cfun__02 @ sk__3 @ cbool__00) @
% 196.75/28.67 cbool__00) @
% 196.75/28.67 sk__5)) @
% 196.75/28.67 sk__3) @
% 196.75/28.67 sk__5 @ sk__4 @ sk__3)) @
% 196.75/28.67 (s__02 @ (cfun__02 @ sk__3 @ cbool__00) @ X0)))))))))),
% 196.75/28.67 inference('simplify', [status(thm)], [zip_derived_cl4542])).
% 196.75/28.67 thf(zip_derived_cl4582, plain,
% 196.75/28.67 ((~ (p__01 @ (s__02 @ cbool__00 @ cT__00))
% 196.75/28.67 | ~ (p__01 @
% 196.75/28.67 (s__02 @ cbool__00 @
% 196.75/28.67 (c_27const_2ecfHeapsBase_2eSPLIT3_27__02 @
% 196.75/28.67 (s__02 @ (cfun__02 @ sk__3 @ cbool__00) @ sk__7) @
% 196.75/28.67 (s__02 @
% 196.75/28.67 (c_27type_2epair_2eprod_27__02 @
% 196.75/28.67 (cfun__02 @ sk__3 @ cbool__00) @
% 196.75/28.67 (c_27type_2epair_2eprod_27__02 @
% 196.75/28.67 (cfun__02 @ sk__3 @ cbool__00) @
% 196.75/28.67 (cfun__02 @ sk__3 @ cbool__00))) @
% 196.75/28.67 (c_27const_2epair_2e_2c_27__02 @
% 196.75/28.67 (s__02 @ (cfun__02 @ sk__3 @ cbool__00) @
% 196.75/28.67 (sk__1 @
% 196.75/28.67 (sk__1 @ sk__7 @ sk__6 @
% 196.75/28.67 (c_27const_2eset__sep_2eSTAR_27__02 @
% 196.75/28.67 (s__02 @
% 196.75/28.67 (cfun__02 @ (cfun__02 @ sk__3 @ cbool__00) @ cbool__00) @
% 196.75/28.67 sk__4) @
% 196.75/28.67 (s__02 @
% 196.75/28.67 (cfun__02 @ (cfun__02 @ sk__3 @ cbool__00) @ cbool__00) @
% 196.75/28.67 sk__5)) @
% 196.75/28.67 sk__3) @
% 196.75/28.67 sk__5 @ sk__4 @ sk__3)) @
% 196.75/28.67 (s__02 @
% 196.75/28.67 (c_27type_2epair_2eprod_27__02 @
% 196.75/28.67 (cfun__02 @ sk__3 @ cbool__00) @
% 196.75/28.67 (cfun__02 @ sk__3 @ cbool__00)) @
% 196.75/28.67 (c_27const_2epair_2e_2c_27__02 @
% 196.75/28.67 (s__02 @ (cfun__02 @ sk__3 @ cbool__00) @
% 196.75/28.67 (sk__2 @
% 196.75/28.67 (sk__1 @ sk__7 @ sk__6 @
% 196.75/28.67 (c_27const_2eset__sep_2eSTAR_27__02 @
% 196.75/28.67 (s__02 @
% 196.75/28.67 (cfun__02 @ (cfun__02 @ sk__3 @ cbool__00) @ cbool__00) @
% 196.75/28.67 sk__4) @
% 196.75/28.67 (s__02 @
% 196.75/28.67 (cfun__02 @ (cfun__02 @ sk__3 @ cbool__00) @ cbool__00) @
% 196.75/28.67 sk__5)) @
% 196.75/28.67 sk__3) @
% 196.75/28.67 sk__5 @ sk__4 @ sk__3)) @
% 196.75/28.67 (s__02 @ (cfun__02 @ sk__3 @ cbool__00) @
% 196.75/28.67 (sk__2 @ sk__7 @ sk__6 @
% 196.75/28.67 (c_27const_2eset__sep_2eSTAR_27__02 @
% 196.75/28.67 (s__02 @
% 196.75/28.67 (cfun__02 @ (cfun__02 @ sk__3 @ cbool__00) @ cbool__00) @
% 196.75/28.67 sk__4) @
% 196.75/28.67 (s__02 @
% 196.75/28.67 (cfun__02 @ (cfun__02 @ sk__3 @ cbool__00) @ cbool__00) @
% 196.75/28.67 sk__5)) @
% 196.75/28.67 sk__3))))))))))),
% 196.75/28.67 inference('s_sup-', [status(thm)],
% 196.75/28.67 [zip_derived_cl2448, zip_derived_cl4545])).
% 196.75/28.67 thf(zip_derived_cl0, plain, ( (p__01 @ (s__02 @ cbool__00 @ cT__00))),
% 196.75/28.67 inference('cnf', [status(esa)], [HL_TRUTH])).
% 196.75/28.67 thf(zip_derived_cl4586, plain,
% 196.75/28.67 (~ (p__01 @
% 196.75/28.67 (s__02 @ cbool__00 @
% 196.75/28.67 (c_27const_2ecfHeapsBase_2eSPLIT3_27__02 @
% 196.75/28.67 (s__02 @ (cfun__02 @ sk__3 @ cbool__00) @ sk__7) @
% 196.75/28.67 (s__02 @
% 196.75/28.67 (c_27type_2epair_2eprod_27__02 @ (cfun__02 @ sk__3 @ cbool__00) @
% 196.75/28.67 (c_27type_2epair_2eprod_27__02 @
% 196.75/28.67 (cfun__02 @ sk__3 @ cbool__00) @ (cfun__02 @ sk__3 @ cbool__00))) @
% 196.75/28.67 (c_27const_2epair_2e_2c_27__02 @
% 196.75/28.67 (s__02 @ (cfun__02 @ sk__3 @ cbool__00) @
% 196.75/28.67 (sk__1 @
% 196.75/28.67 (sk__1 @ sk__7 @ sk__6 @
% 196.75/28.67 (c_27const_2eset__sep_2eSTAR_27__02 @
% 196.75/28.67 (s__02 @
% 196.75/28.67 (cfun__02 @ (cfun__02 @ sk__3 @ cbool__00) @ cbool__00) @
% 196.75/28.67 sk__4) @
% 196.75/28.67 (s__02 @
% 196.75/28.67 (cfun__02 @ (cfun__02 @ sk__3 @ cbool__00) @ cbool__00) @
% 196.75/28.67 sk__5)) @
% 196.75/28.67 sk__3) @
% 196.75/28.67 sk__5 @ sk__4 @ sk__3)) @
% 196.75/28.67 (s__02 @
% 196.75/28.67 (c_27type_2epair_2eprod_27__02 @
% 196.75/28.67 (cfun__02 @ sk__3 @ cbool__00) @ (cfun__02 @ sk__3 @ cbool__00)) @
% 196.75/28.67 (c_27const_2epair_2e_2c_27__02 @
% 196.75/28.67 (s__02 @ (cfun__02 @ sk__3 @ cbool__00) @
% 196.75/28.67 (sk__2 @
% 196.75/28.67 (sk__1 @ sk__7 @ sk__6 @
% 196.75/28.67 (c_27const_2eset__sep_2eSTAR_27__02 @
% 196.75/28.67 (s__02 @
% 196.75/28.67 (cfun__02 @ (cfun__02 @ sk__3 @ cbool__00) @ cbool__00) @
% 196.75/28.67 sk__4) @
% 196.75/28.67 (s__02 @
% 196.75/28.67 (cfun__02 @ (cfun__02 @ sk__3 @ cbool__00) @ cbool__00) @
% 196.75/28.67 sk__5)) @
% 196.75/28.67 sk__3) @
% 196.75/28.67 sk__5 @ sk__4 @ sk__3)) @
% 196.75/28.67 (s__02 @ (cfun__02 @ sk__3 @ cbool__00) @
% 196.75/28.67 (sk__2 @ sk__7 @ sk__6 @
% 196.75/28.67 (c_27const_2eset__sep_2eSTAR_27__02 @
% 196.75/28.67 (s__02 @
% 196.75/28.67 (cfun__02 @ (cfun__02 @ sk__3 @ cbool__00) @ cbool__00) @
% 196.75/28.67 sk__4) @
% 196.75/28.67 (s__02 @
% 196.75/28.67 (cfun__02 @ (cfun__02 @ sk__3 @ cbool__00) @ cbool__00) @
% 196.75/28.67 sk__5)) @
% 196.75/28.67 sk__3)))))))))),
% 196.75/28.67 inference('demod', [status(thm)], [zip_derived_cl4582, zip_derived_cl0])).
% 196.75/28.67 thf(zip_derived_cl13891, plain,
% 196.75/28.67 ((((s__02 @ (cfun__02 @ sk__3 @ cbool__00) @
% 196.75/28.67 (c_27const_2epred__set_2eUNION_27__02 @
% 196.75/28.67 (s__02 @ (cfun__02 @ sk__3 @ cbool__00) @
% 196.75/28.67 (c_27const_2epred__set_2eUNION_27__02 @
% 196.75/28.67 (s__02 @ (cfun__02 @ sk__3 @ cbool__00) @
% 196.75/28.67 (sk__1 @
% 196.75/28.67 (sk__1 @ sk__7 @ sk__6 @
% 196.75/28.67 (c_27const_2eset__sep_2eSTAR_27__02 @
% 196.75/28.67 (s__02 @
% 196.75/28.67 (cfun__02 @ (cfun__02 @ sk__3 @ cbool__00) @ cbool__00) @
% 196.75/28.67 sk__4) @
% 196.75/28.67 (s__02 @
% 196.75/28.67 (cfun__02 @ (cfun__02 @ sk__3 @ cbool__00) @ cbool__00) @
% 196.75/28.67 sk__5)) @
% 196.75/28.67 sk__3) @
% 196.75/28.67 sk__5 @ sk__4 @ sk__3)) @
% 196.75/28.67 (s__02 @ (cfun__02 @ sk__3 @ cbool__00) @
% 196.75/28.67 (sk__2 @
% 196.75/28.67 (sk__1 @ sk__7 @ sk__6 @
% 196.75/28.67 (c_27const_2eset__sep_2eSTAR_27__02 @
% 196.75/28.67 (s__02 @
% 196.75/28.67 (cfun__02 @ (cfun__02 @ sk__3 @ cbool__00) @ cbool__00) @
% 196.75/28.67 sk__4) @
% 196.75/28.67 (s__02 @
% 196.75/28.67 (cfun__02 @ (cfun__02 @ sk__3 @ cbool__00) @ cbool__00) @
% 196.75/28.67 sk__5)) @
% 196.75/28.67 sk__3) @
% 196.75/28.67 sk__5 @ sk__4 @ sk__3)))) @
% 196.75/28.67 (s__02 @ (cfun__02 @ sk__3 @ cbool__00) @
% 196.75/28.67 (sk__2 @ sk__7 @ sk__6 @
% 196.75/28.67 (c_27const_2eset__sep_2eSTAR_27__02 @
% 196.75/28.67 (s__02 @
% 196.75/28.67 (cfun__02 @ (cfun__02 @ sk__3 @ cbool__00) @ cbool__00) @ sk__4) @
% 196.75/28.67 (s__02 @
% 196.75/28.67 (cfun__02 @ (cfun__02 @ sk__3 @ cbool__00) @ cbool__00) @ sk__5)) @
% 196.75/28.67 sk__3))))
% 196.75/28.67 != (s__02 @ (cfun__02 @ sk__3 @ cbool__00) @ sk__7))
% 196.75/28.67 | ~ (p__01 @
% 196.75/28.67 (s__02 @ cbool__00 @
% 196.75/28.67 (c_27const_2epred__set_2eDISJOINT_27__02 @
% 196.75/28.67 (s__02 @ (cfun__02 @ sk__3 @ cbool__00) @
% 196.75/28.67 (sk__1 @
% 196.75/28.67 (sk__1 @ sk__7 @ sk__6 @
% 196.75/28.67 (c_27const_2eset__sep_2eSTAR_27__02 @
% 196.75/28.67 (s__02 @
% 196.75/28.67 (cfun__02 @ (cfun__02 @ sk__3 @ cbool__00) @ cbool__00) @
% 196.75/28.67 sk__4) @
% 196.75/28.67 (s__02 @
% 196.75/28.67 (cfun__02 @ (cfun__02 @ sk__3 @ cbool__00) @ cbool__00) @
% 196.75/28.67 sk__5)) @
% 196.75/28.67 sk__3) @
% 196.75/28.67 sk__5 @ sk__4 @ sk__3)) @
% 196.75/28.67 (s__02 @ (cfun__02 @ sk__3 @ cbool__00) @
% 196.75/28.67 (sk__2 @
% 196.75/28.67 (sk__1 @ sk__7 @ sk__6 @
% 196.75/28.67 (c_27const_2eset__sep_2eSTAR_27__02 @
% 196.75/28.67 (s__02 @
% 196.75/28.67 (cfun__02 @ (cfun__02 @ sk__3 @ cbool__00) @ cbool__00) @
% 196.75/28.67 sk__4) @
% 196.75/28.67 (s__02 @
% 196.75/28.67 (cfun__02 @ (cfun__02 @ sk__3 @ cbool__00) @ cbool__00) @
% 196.75/28.67 sk__5)) @
% 196.75/28.67 sk__3) @
% 196.75/28.67 sk__5 @ sk__4 @ sk__3)))))
% 196.75/28.67 | ~ (p__01 @
% 196.75/28.67 (s__02 @ cbool__00 @
% 196.75/28.67 (c_27const_2epred__set_2eDISJOINT_27__02 @
% 196.75/28.67 (s__02 @ (cfun__02 @ sk__3 @ cbool__00) @
% 196.75/28.67 (sk__2 @
% 196.75/28.67 (sk__1 @ sk__7 @ sk__6 @
% 196.75/28.67 (c_27const_2eset__sep_2eSTAR_27__02 @
% 196.75/28.67 (s__02 @
% 196.75/28.67 (cfun__02 @ (cfun__02 @ sk__3 @ cbool__00) @ cbool__00) @
% 196.75/28.67 sk__4) @
% 196.75/28.67 (s__02 @
% 196.75/28.67 (cfun__02 @ (cfun__02 @ sk__3 @ cbool__00) @ cbool__00) @
% 196.75/28.67 sk__5)) @
% 196.75/28.67 sk__3) @
% 196.75/28.67 sk__5 @ sk__4 @ sk__3)) @
% 196.75/28.67 (s__02 @ (cfun__02 @ sk__3 @ cbool__00) @
% 196.75/28.67 (sk__2 @ sk__7 @ sk__6 @
% 196.75/28.67 (c_27const_2eset__sep_2eSTAR_27__02 @
% 196.75/28.67 (s__02 @
% 196.75/28.67 (cfun__02 @ (cfun__02 @ sk__3 @ cbool__00) @ cbool__00) @
% 196.75/28.67 sk__4) @
% 196.75/28.67 (s__02 @
% 196.75/28.67 (cfun__02 @ (cfun__02 @ sk__3 @ cbool__00) @ cbool__00) @
% 196.75/28.67 sk__5)) @
% 196.75/28.67 sk__3)))))
% 196.75/28.67 | ~ (p__01 @
% 196.75/28.67 (s__02 @ cbool__00 @
% 196.75/28.67 (c_27const_2epred__set_2eDISJOINT_27__02 @
% 196.75/28.67 (s__02 @ (cfun__02 @ sk__3 @ cbool__00) @
% 196.75/28.67 (sk__1 @
% 196.75/28.67 (sk__1 @ sk__7 @ sk__6 @
% 196.75/28.67 (c_27const_2eset__sep_2eSTAR_27__02 @
% 196.75/28.67 (s__02 @
% 196.75/28.67 (cfun__02 @ (cfun__02 @ sk__3 @ cbool__00) @ cbool__00) @
% 196.75/28.67 sk__4) @
% 196.75/28.67 (s__02 @
% 196.75/28.67 (cfun__02 @ (cfun__02 @ sk__3 @ cbool__00) @ cbool__00) @
% 196.75/28.67 sk__5)) @
% 196.75/28.67 sk__3) @
% 196.75/28.67 sk__5 @ sk__4 @ sk__3)) @
% 196.75/28.67 (s__02 @ (cfun__02 @ sk__3 @ cbool__00) @
% 196.75/28.67 (sk__2 @ sk__7 @ sk__6 @
% 196.75/28.67 (c_27const_2eset__sep_2eSTAR_27__02 @
% 196.75/28.67 (s__02 @
% 196.75/28.67 (cfun__02 @ (cfun__02 @ sk__3 @ cbool__00) @ cbool__00) @
% 196.75/28.67 sk__4) @
% 196.75/28.67 (s__02 @
% 196.75/28.67 (cfun__02 @ (cfun__02 @ sk__3 @ cbool__00) @ cbool__00) @
% 196.75/28.67 sk__5)) @
% 196.75/28.67 sk__3))))))),
% 196.75/28.67 inference('s_sup-', [status(thm)],
% 196.75/28.67 [zip_derived_cl179, zip_derived_cl4586])).
% 196.75/28.67 thf(zip_derived_cl4564, plain,
% 196.75/28.67 (((s__02 @ (cfun__02 @ sk__3 @ cbool__00) @
% 196.75/28.67 (c_27const_2epred__set_2eUNION_27__02 @
% 196.75/28.67 (s__02 @ (cfun__02 @ sk__3 @ cbool__00) @
% 196.75/28.67 (sk__1 @
% 196.75/28.67 (sk__1 @ sk__7 @ sk__6 @
% 196.75/28.67 (c_27const_2eset__sep_2eSTAR_27__02 @
% 196.75/28.67 (s__02 @
% 196.75/28.67 (cfun__02 @ (cfun__02 @ sk__3 @ cbool__00) @ cbool__00) @ sk__4) @
% 196.75/28.67 (s__02 @
% 196.75/28.67 (cfun__02 @ (cfun__02 @ sk__3 @ cbool__00) @ cbool__00) @ sk__5)) @
% 196.75/28.67 sk__3) @
% 196.75/28.67 sk__5 @ sk__4 @ sk__3)) @
% 196.75/28.67 (s__02 @ (cfun__02 @ sk__3 @ cbool__00) @
% 196.75/28.67 (sk__2 @
% 196.75/28.67 (sk__1 @ sk__7 @ sk__6 @
% 196.75/28.67 (c_27const_2eset__sep_2eSTAR_27__02 @
% 196.75/28.67 (s__02 @
% 196.75/28.67 (cfun__02 @ (cfun__02 @ sk__3 @ cbool__00) @ cbool__00) @ sk__4) @
% 196.75/28.67 (s__02 @
% 196.75/28.67 (cfun__02 @ (cfun__02 @ sk__3 @ cbool__00) @ cbool__00) @ sk__5)) @
% 196.75/28.67 sk__3) @
% 196.75/28.67 sk__5 @ sk__4 @ sk__3))))
% 196.75/28.67 = (s__02 @ (cfun__02 @ sk__3 @ cbool__00) @
% 196.75/28.67 (sk__1 @ sk__7 @ sk__6 @
% 196.75/28.67 (c_27const_2eset__sep_2eSTAR_27__02 @
% 196.75/28.67 (s__02 @
% 196.75/28.67 (cfun__02 @ (cfun__02 @ sk__3 @ cbool__00) @ cbool__00) @ sk__4) @
% 196.75/28.67 (s__02 @
% 196.75/28.67 (cfun__02 @ (cfun__02 @ sk__3 @ cbool__00) @ cbool__00) @ sk__5)) @
% 196.75/28.67 sk__3)))),
% 196.75/28.67 inference('demod', [status(thm)], [zip_derived_cl4559, zip_derived_cl0])).
% 196.75/28.67 thf(zip_derived_cl1691, plain,
% 196.75/28.67 (((s__02 @ cbool__00 @ cT__00)
% 196.75/28.67 = (s__02 @ cbool__00 @
% 196.75/28.67 (chapp__02 @
% 196.75/28.67 (s__02 @
% 196.75/28.67 (cfun__02 @ (cfun__02 @ sk__3 @ cbool__00) @ cbool__00) @
% 196.75/28.67 (c_27const_2eset__sep_2eSTAR_27__02 @
% 196.75/28.67 (s__02 @
% 196.75/28.67 (cfun__02 @ (cfun__02 @ sk__3 @ cbool__00) @ cbool__00) @
% 196.75/28.67 (c_27const_2eset__sep_2eSTAR_27__02 @
% 196.75/28.67 (s__02 @
% 196.75/28.67 (cfun__02 @ (cfun__02 @ sk__3 @ cbool__00) @ cbool__00) @
% 196.75/28.67 sk__4) @
% 196.75/28.67 (s__02 @
% 196.75/28.67 (cfun__02 @ (cfun__02 @ sk__3 @ cbool__00) @ cbool__00) @
% 196.75/28.67 sk__5))) @
% 196.75/28.67 (s__02 @
% 196.75/28.67 (cfun__02 @ (cfun__02 @ sk__3 @ cbool__00) @ cbool__00) @ sk__6))) @
% 196.75/28.67 (s__02 @ (cfun__02 @ sk__3 @ cbool__00) @ sk__7))))),
% 196.75/28.67 inference('s_sup-', [status(thm)], [zip_derived_cl180, zip_derived_cl32])).
% 196.75/28.67 thf(zip_derived_cl2412, plain,
% 196.75/28.67 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 196.75/28.67 (~ (p__01 @
% 196.75/28.67 (s__02 @ cbool__00 @
% 196.75/28.67 (chapp__02 @
% 196.75/28.67 (s__02 @ (cfun__02 @ (cfun__02 @ X0 @ cbool__00) @ cbool__00) @
% 196.75/28.67 (c_27const_2eset__sep_2eSTAR_27__02 @
% 196.75/28.67 (s__02 @
% 196.75/28.67 (cfun__02 @ (cfun__02 @ X0 @ cbool__00) @ cbool__00) @ X1) @
% 196.75/28.67 (s__02 @
% 196.75/28.67 (cfun__02 @ (cfun__02 @ X0 @ cbool__00) @ cbool__00) @ X2))) @
% 196.75/28.67 (s__02 @ (cfun__02 @ X0 @ cbool__00) @ X3))))
% 196.75/28.67 | ((s__02 @ (cfun__02 @ X0 @ cbool__00) @
% 196.75/28.67 (c_27const_2epred__set_2eUNION_27__02 @
% 196.75/28.67 (s__02 @ (cfun__02 @ X0 @ cbool__00) @
% 196.75/28.67 (sk__1 @ X3 @ X2 @ X1 @ X0)) @
% 196.75/28.67 (s__02 @ (cfun__02 @ X0 @ cbool__00) @
% 196.75/28.67 (sk__2 @ X3 @ X2 @ X1 @ X0))))
% 196.75/28.67 = (s__02 @ (cfun__02 @ X0 @ cbool__00) @ X3)))),
% 196.75/28.67 inference('s_sup-', [status(thm)], [zip_derived_cl172, zip_derived_cl168])).
% 196.75/28.67 thf(zip_derived_cl4558, plain,
% 196.75/28.67 ((~ (p__01 @ (s__02 @ cbool__00 @ cT__00))
% 196.75/28.67 | ((s__02 @ (cfun__02 @ sk__3 @ cbool__00) @
% 196.75/28.67 (c_27const_2epred__set_2eUNION_27__02 @
% 196.75/28.67 (s__02 @ (cfun__02 @ sk__3 @ cbool__00) @
% 196.75/28.67 (sk__1 @ sk__7 @ sk__6 @
% 196.75/28.67 (c_27const_2eset__sep_2eSTAR_27__02 @
% 196.75/28.67 (s__02 @
% 196.75/28.67 (cfun__02 @ (cfun__02 @ sk__3 @ cbool__00) @ cbool__00) @
% 196.75/28.67 sk__4) @
% 196.75/28.67 (s__02 @
% 196.75/28.67 (cfun__02 @ (cfun__02 @ sk__3 @ cbool__00) @ cbool__00) @
% 196.75/28.67 sk__5)) @
% 196.75/28.67 sk__3)) @
% 196.75/28.67 (s__02 @ (cfun__02 @ sk__3 @ cbool__00) @
% 196.75/28.67 (sk__2 @ sk__7 @ sk__6 @
% 196.75/28.67 (c_27const_2eset__sep_2eSTAR_27__02 @
% 196.75/28.67 (s__02 @
% 196.75/28.67 (cfun__02 @ (cfun__02 @ sk__3 @ cbool__00) @ cbool__00) @
% 196.75/28.67 sk__4) @
% 196.75/28.67 (s__02 @
% 196.75/28.67 (cfun__02 @ (cfun__02 @ sk__3 @ cbool__00) @ cbool__00) @
% 196.75/28.67 sk__5)) @
% 196.75/28.67 sk__3))))
% 196.75/28.67 = (s__02 @ (cfun__02 @ sk__3 @ cbool__00) @ sk__7)))),
% 196.75/28.67 inference('s_sup-', [status(thm)],
% 196.75/28.67 [zip_derived_cl1691, zip_derived_cl2412])).
% 196.75/28.67 thf(zip_derived_cl0, plain, ( (p__01 @ (s__02 @ cbool__00 @ cT__00))),
% 196.75/28.67 inference('cnf', [status(esa)], [HL_TRUTH])).
% 196.75/28.67 thf(zip_derived_cl4563, plain,
% 196.75/28.67 (((s__02 @ (cfun__02 @ sk__3 @ cbool__00) @
% 196.75/28.67 (c_27const_2epred__set_2eUNION_27__02 @
% 196.75/28.67 (s__02 @ (cfun__02 @ sk__3 @ cbool__00) @
% 196.75/28.67 (sk__1 @ sk__7 @ sk__6 @
% 196.75/28.67 (c_27const_2eset__sep_2eSTAR_27__02 @
% 196.75/28.67 (s__02 @
% 196.75/28.67 (cfun__02 @ (cfun__02 @ sk__3 @ cbool__00) @ cbool__00) @ sk__4) @
% 196.75/28.67 (s__02 @
% 196.75/28.67 (cfun__02 @ (cfun__02 @ sk__3 @ cbool__00) @ cbool__00) @ sk__5)) @
% 196.75/28.67 sk__3)) @
% 196.75/28.67 (s__02 @ (cfun__02 @ sk__3 @ cbool__00) @
% 196.75/28.67 (sk__2 @ sk__7 @ sk__6 @
% 196.75/28.67 (c_27const_2eset__sep_2eSTAR_27__02 @
% 196.75/28.67 (s__02 @
% 196.75/28.67 (cfun__02 @ (cfun__02 @ sk__3 @ cbool__00) @ cbool__00) @ sk__4) @
% 196.75/28.67 (s__02 @
% 196.75/28.67 (cfun__02 @ (cfun__02 @ sk__3 @ cbool__00) @ cbool__00) @ sk__5)) @
% 196.75/28.67 sk__3))))
% 196.75/28.67 = (s__02 @ (cfun__02 @ sk__3 @ cbool__00) @ sk__7))),
% 196.75/28.67 inference('demod', [status(thm)], [zip_derived_cl4558, zip_derived_cl0])).
% 196.75/28.67 thf(zip_derived_cl2342, plain,
% 196.75/28.67 (((s__02 @ cbool__00 @ cT__00)
% 196.75/28.67 = (s__02 @ cbool__00 @
% 196.75/28.67 (chapp__02 @
% 196.75/28.67 (s__02 @
% 196.75/28.67 (cfun__02 @ (cfun__02 @ sk__3 @ cbool__00) @ cbool__00) @
% 196.75/28.67 (c_27const_2eset__sep_2eSTAR_27__02 @
% 196.75/28.67 (s__02 @
% 196.75/28.67 (cfun__02 @ (cfun__02 @ sk__3 @ cbool__00) @ cbool__00) @ sk__4) @
% 196.75/28.67 (s__02 @
% 196.75/28.67 (cfun__02 @ (cfun__02 @ sk__3 @ cbool__00) @ cbool__00) @ sk__5))) @
% 196.75/28.67 (s__02 @ (cfun__02 @ sk__3 @ cbool__00) @
% 196.75/28.67 (sk__1 @ sk__7 @ sk__6 @
% 196.75/28.67 (c_27const_2eset__sep_2eSTAR_27__02 @
% 196.75/28.67 (s__02 @
% 196.75/28.67 (cfun__02 @ (cfun__02 @ sk__3 @ cbool__00) @ cbool__00) @
% 196.75/28.67 sk__4) @
% 196.75/28.67 (s__02 @
% 196.75/28.67 (cfun__02 @ (cfun__02 @ sk__3 @ cbool__00) @ cbool__00) @
% 196.75/28.67 sk__5)) @
% 196.75/28.67 sk__3)))))),
% 196.75/28.67 inference('s_sup-', [status(thm)], [zip_derived_cl2341, zip_derived_cl32])).
% 196.75/28.67 thf(zip_derived_cl172, plain,
% 196.75/28.67 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 196.75/28.67 ( (p__01 @
% 196.75/28.67 (s__02 @ cbool__00 @
% 196.75/28.67 (c_27const_2eset__sep_2eSPLIT_27__02 @
% 196.75/28.67 (s__02 @ (cfun__02 @ X0 @ cbool__00) @ X1) @
% 196.75/28.67 (s__02 @
% 196.75/28.67 (c_27type_2epair_2eprod_27__02 @ (cfun__02 @ X0 @ cbool__00) @
% 196.75/28.67 (cfun__02 @ X0 @ cbool__00)) @
% 196.75/28.67 (c_27const_2epair_2e_2c_27__02 @
% 196.75/28.67 (s__02 @ (cfun__02 @ X0 @ cbool__00) @
% 196.75/28.67 (sk__1 @ X1 @ X2 @ X3 @ X0)) @
% 196.75/28.67 (s__02 @ (cfun__02 @ X0 @ cbool__00) @
% 196.75/28.67 (sk__2 @ X1 @ X2 @ X3 @ X0)))))))
% 196.75/28.67 | ~ (p__01 @
% 196.75/28.67 (s__02 @ cbool__00 @
% 196.75/28.67 (chapp__02 @
% 196.75/28.67 (s__02 @
% 196.75/28.67 (cfun__02 @ (cfun__02 @ X0 @ cbool__00) @ cbool__00) @
% 196.75/28.67 (c_27const_2eset__sep_2eSTAR_27__02 @
% 196.75/28.67 (s__02 @
% 196.75/28.67 (cfun__02 @ (cfun__02 @ X0 @ cbool__00) @ cbool__00) @ X3) @
% 196.75/28.67 (s__02 @
% 196.75/28.67 (cfun__02 @ (cfun__02 @ X0 @ cbool__00) @ cbool__00) @ X2))) @
% 196.75/28.67 (s__02 @ (cfun__02 @ X0 @ cbool__00) @ X1)))))),
% 196.75/28.67 inference('cnf', [status(esa)], [thm.set_sep.STAR_def])).
% 196.75/28.67 thf(zip_derived_cl169, plain,
% 196.75/28.67 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 196.75/28.67 ( (p__01 @
% 196.75/28.67 (s__02 @ cbool__00 @
% 196.75/28.67 (c_27const_2epred__set_2eDISJOINT_27__02 @
% 196.75/28.67 (s__02 @ (cfun__02 @ X0 @ cbool__00) @ X1) @
% 196.75/28.67 (s__02 @ (cfun__02 @ X0 @ cbool__00) @ X2))))
% 196.75/28.67 | ~ (p__01 @
% 196.75/28.67 (s__02 @ cbool__00 @
% 196.75/28.67 (c_27const_2eset__sep_2eSPLIT_27__02 @
% 196.75/28.67 (s__02 @ (cfun__02 @ X0 @ cbool__00) @ X3) @
% 196.75/28.67 (s__02 @
% 196.75/28.67 (c_27type_2epair_2eprod_27__02 @
% 196.75/28.67 (cfun__02 @ X0 @ cbool__00) @ (cfun__02 @ X0 @ cbool__00)) @
% 196.75/28.67 (c_27const_2epair_2e_2c_27__02 @
% 196.75/28.67 (s__02 @ (cfun__02 @ X0 @ cbool__00) @ X1) @
% 196.75/28.67 (s__02 @ (cfun__02 @ X0 @ cbool__00) @ X2)))))))),
% 196.75/28.67 inference('cnf', [status(esa)], [thm.set_sep.SPLIT_def])).
% 196.75/28.67 thf(zip_derived_cl2413, plain,
% 196.75/28.67 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 196.75/28.67 (~ (p__01 @
% 196.75/28.67 (s__02 @ cbool__00 @
% 196.75/28.67 (chapp__02 @
% 196.75/28.67 (s__02 @ (cfun__02 @ (cfun__02 @ X0 @ cbool__00) @ cbool__00) @
% 196.75/28.67 (c_27const_2eset__sep_2eSTAR_27__02 @
% 196.75/28.67 (s__02 @
% 196.75/28.67 (cfun__02 @ (cfun__02 @ X0 @ cbool__00) @ cbool__00) @ X1) @
% 196.75/28.67 (s__02 @
% 196.75/28.67 (cfun__02 @ (cfun__02 @ X0 @ cbool__00) @ cbool__00) @ X2))) @
% 196.75/28.67 (s__02 @ (cfun__02 @ X0 @ cbool__00) @ X3))))
% 196.75/28.67 | (p__01 @
% 196.75/28.67 (s__02 @ cbool__00 @
% 196.75/28.67 (c_27const_2epred__set_2eDISJOINT_27__02 @
% 196.75/28.67 (s__02 @ (cfun__02 @ X0 @ cbool__00) @
% 196.75/28.67 (sk__1 @ X3 @ X2 @ X1 @ X0)) @
% 196.75/28.67 (s__02 @ (cfun__02 @ X0 @ cbool__00) @
% 196.75/28.67 (sk__2 @ X3 @ X2 @ X1 @ X0))))))),
% 196.75/28.67 inference('s_sup-', [status(thm)], [zip_derived_cl172, zip_derived_cl169])).
% 196.75/28.67 thf(zip_derived_cl3535, plain,
% 196.75/28.67 ((~ (p__01 @ (s__02 @ cbool__00 @ cT__00))
% 196.75/28.67 | (p__01 @
% 196.75/28.67 (s__02 @ cbool__00 @
% 196.75/28.67 (c_27const_2epred__set_2eDISJOINT_27__02 @
% 196.75/28.67 (s__02 @ (cfun__02 @ sk__3 @ cbool__00) @
% 196.75/28.67 (sk__1 @
% 196.75/28.67 (sk__1 @ sk__7 @ sk__6 @
% 196.75/28.67 (c_27const_2eset__sep_2eSTAR_27__02 @
% 196.75/28.67 (s__02 @
% 196.75/28.67 (cfun__02 @ (cfun__02 @ sk__3 @ cbool__00) @ cbool__00) @
% 196.75/28.67 sk__4) @
% 196.75/28.67 (s__02 @
% 196.75/28.67 (cfun__02 @ (cfun__02 @ sk__3 @ cbool__00) @ cbool__00) @
% 196.75/28.67 sk__5)) @
% 196.75/28.67 sk__3) @
% 196.75/28.67 sk__5 @ sk__4 @ sk__3)) @
% 196.75/28.67 (s__02 @ (cfun__02 @ sk__3 @ cbool__00) @
% 196.75/28.67 (sk__2 @
% 196.75/28.67 (sk__1 @ sk__7 @ sk__6 @
% 196.75/28.67 (c_27const_2eset__sep_2eSTAR_27__02 @
% 196.75/28.67 (s__02 @
% 196.75/28.67 (cfun__02 @ (cfun__02 @ sk__3 @ cbool__00) @ cbool__00) @
% 196.75/28.67 sk__4) @
% 196.75/28.67 (s__02 @
% 196.75/28.67 (cfun__02 @ (cfun__02 @ sk__3 @ cbool__00) @ cbool__00) @
% 196.75/28.67 sk__5)) @
% 196.75/28.67 sk__3) @
% 196.75/28.67 sk__5 @ sk__4 @ sk__3))))))),
% 196.75/28.67 inference('s_sup-', [status(thm)],
% 196.75/28.67 [zip_derived_cl2342, zip_derived_cl2413])).
% 196.75/28.67 thf(zip_derived_cl0, plain, ( (p__01 @ (s__02 @ cbool__00 @ cT__00))),
% 196.75/28.67 inference('cnf', [status(esa)], [HL_TRUTH])).
% 196.75/28.67 thf(zip_derived_cl3570, plain,
% 196.75/28.67 ( (p__01 @
% 196.75/28.67 (s__02 @ cbool__00 @
% 196.75/28.67 (c_27const_2epred__set_2eDISJOINT_27__02 @
% 196.75/28.67 (s__02 @ (cfun__02 @ sk__3 @ cbool__00) @
% 196.75/28.67 (sk__1 @
% 196.75/28.67 (sk__1 @ sk__7 @ sk__6 @
% 196.75/28.67 (c_27const_2eset__sep_2eSTAR_27__02 @
% 196.75/28.67 (s__02 @
% 196.75/28.67 (cfun__02 @ (cfun__02 @ sk__3 @ cbool__00) @ cbool__00) @ sk__4) @
% 196.75/28.67 (s__02 @
% 196.75/28.67 (cfun__02 @ (cfun__02 @ sk__3 @ cbool__00) @ cbool__00) @ sk__5)) @
% 196.75/28.67 sk__3) @
% 196.75/28.67 sk__5 @ sk__4 @ sk__3)) @
% 196.75/28.67 (s__02 @ (cfun__02 @ sk__3 @ cbool__00) @
% 196.75/28.67 (sk__2 @
% 196.75/28.67 (sk__1 @ sk__7 @ sk__6 @
% 196.75/28.67 (c_27const_2eset__sep_2eSTAR_27__02 @
% 196.75/28.67 (s__02 @
% 196.75/28.67 (cfun__02 @ (cfun__02 @ sk__3 @ cbool__00) @ cbool__00) @ sk__4) @
% 196.75/28.67 (s__02 @
% 196.75/28.67 (cfun__02 @ (cfun__02 @ sk__3 @ cbool__00) @ cbool__00) @ sk__5)) @
% 196.75/28.67 sk__3) @
% 196.75/28.67 sk__5 @ sk__4 @ sk__3)))))),
% 196.75/28.67 inference('demod', [status(thm)], [zip_derived_cl3535, zip_derived_cl0])).
% 196.75/28.67 thf(zip_derived_cl32, plain,
% 196.75/28.67 (![X0 : $i]:
% 196.75/28.67 (((s__02 @ cbool__00 @ cT__00) = (s__02 @ cbool__00 @ X0))
% 196.75/28.67 | ~ (p__01 @ (s__02 @ cbool__00 @ X0)))),
% 196.75/28.67 inference('cnf', [status(esa)], [thm.bool.EQ_CLAUSES])).
% 196.75/28.67 thf(zip_derived_cl4279, plain,
% 196.75/28.67 (((s__02 @ cbool__00 @ cT__00)
% 196.75/28.67 = (s__02 @ cbool__00 @
% 196.75/28.67 (c_27const_2epred__set_2eDISJOINT_27__02 @
% 196.75/28.67 (s__02 @ (cfun__02 @ sk__3 @ cbool__00) @
% 196.75/28.67 (sk__1 @
% 196.75/28.67 (sk__1 @ sk__7 @ sk__6 @
% 196.75/28.67 (c_27const_2eset__sep_2eSTAR_27__02 @
% 196.75/28.67 (s__02 @
% 196.75/28.67 (cfun__02 @ (cfun__02 @ sk__3 @ cbool__00) @ cbool__00) @
% 196.75/28.67 sk__4) @
% 196.75/28.67 (s__02 @
% 196.75/28.67 (cfun__02 @ (cfun__02 @ sk__3 @ cbool__00) @ cbool__00) @
% 196.75/28.67 sk__5)) @
% 196.75/28.67 sk__3) @
% 196.75/28.67 sk__5 @ sk__4 @ sk__3)) @
% 196.75/28.67 (s__02 @ (cfun__02 @ sk__3 @ cbool__00) @
% 196.75/28.67 (sk__2 @
% 196.75/28.67 (sk__1 @ sk__7 @ sk__6 @
% 196.75/28.67 (c_27const_2eset__sep_2eSTAR_27__02 @
% 196.75/28.67 (s__02 @
% 196.75/28.67 (cfun__02 @ (cfun__02 @ sk__3 @ cbool__00) @ cbool__00) @
% 196.75/28.67 sk__4) @
% 196.75/28.67 (s__02 @
% 196.75/28.67 (cfun__02 @ (cfun__02 @ sk__3 @ cbool__00) @ cbool__00) @
% 196.75/28.67 sk__5)) @
% 196.75/28.67 sk__3) @
% 196.75/28.67 sk__5 @ sk__4 @ sk__3)))))),
% 196.75/28.67 inference('s_sup-', [status(thm)], [zip_derived_cl3570, zip_derived_cl32])).
% 196.75/28.67 thf(zip_derived_cl0, plain, ( (p__01 @ (s__02 @ cbool__00 @ cT__00))),
% 196.75/28.67 inference('cnf', [status(esa)], [HL_TRUTH])).
% 196.75/28.67 thf(zip_derived_cl13906, plain,
% 196.75/28.67 ((((s__02 @ (cfun__02 @ sk__3 @ cbool__00) @ sk__7)
% 196.75/28.67 != (s__02 @ (cfun__02 @ sk__3 @ cbool__00) @ sk__7))
% 196.75/28.67 | ~ (p__01 @
% 196.75/28.67 (s__02 @ cbool__00 @
% 196.75/28.67 (c_27const_2epred__set_2eDISJOINT_27__02 @
% 196.75/28.67 (s__02 @ (cfun__02 @ sk__3 @ cbool__00) @
% 196.75/28.67 (sk__2 @
% 196.75/28.67 (sk__1 @ sk__7 @ sk__6 @
% 196.75/28.67 (c_27const_2eset__sep_2eSTAR_27__02 @
% 196.75/28.67 (s__02 @
% 196.75/28.67 (cfun__02 @ (cfun__02 @ sk__3 @ cbool__00) @ cbool__00) @
% 196.75/28.67 sk__4) @
% 196.75/28.67 (s__02 @
% 196.75/28.67 (cfun__02 @ (cfun__02 @ sk__3 @ cbool__00) @ cbool__00) @
% 196.75/28.67 sk__5)) @
% 196.75/28.67 sk__3) @
% 196.75/28.67 sk__5 @ sk__4 @ sk__3)) @
% 196.75/28.67 (s__02 @ (cfun__02 @ sk__3 @ cbool__00) @
% 196.75/28.67 (sk__2 @ sk__7 @ sk__6 @
% 196.75/28.67 (c_27const_2eset__sep_2eSTAR_27__02 @
% 196.75/28.67 (s__02 @
% 196.75/28.67 (cfun__02 @ (cfun__02 @ sk__3 @ cbool__00) @ cbool__00) @
% 196.75/28.67 sk__4) @
% 196.75/28.67 (s__02 @
% 196.75/28.67 (cfun__02 @ (cfun__02 @ sk__3 @ cbool__00) @ cbool__00) @
% 196.75/28.67 sk__5)) @
% 196.75/28.67 sk__3)))))
% 196.75/28.67 | ~ (p__01 @
% 196.75/28.67 (s__02 @ cbool__00 @
% 196.75/28.67 (c_27const_2epred__set_2eDISJOINT_27__02 @
% 196.75/28.67 (s__02 @ (cfun__02 @ sk__3 @ cbool__00) @
% 196.75/28.67 (sk__1 @
% 196.75/28.67 (sk__1 @ sk__7 @ sk__6 @
% 196.75/28.67 (c_27const_2eset__sep_2eSTAR_27__02 @
% 196.75/28.67 (s__02 @
% 196.75/28.67 (cfun__02 @ (cfun__02 @ sk__3 @ cbool__00) @ cbool__00) @
% 196.75/28.67 sk__4) @
% 196.75/28.67 (s__02 @
% 196.75/28.67 (cfun__02 @ (cfun__02 @ sk__3 @ cbool__00) @ cbool__00) @
% 196.75/28.67 sk__5)) @
% 196.75/28.67 sk__3) @
% 196.75/28.67 sk__5 @ sk__4 @ sk__3)) @
% 196.75/28.67 (s__02 @ (cfun__02 @ sk__3 @ cbool__00) @
% 196.75/28.67 (sk__2 @ sk__7 @ sk__6 @
% 196.75/28.67 (c_27const_2eset__sep_2eSTAR_27__02 @
% 196.75/28.67 (s__02 @
% 196.75/28.67 (cfun__02 @ (cfun__02 @ sk__3 @ cbool__00) @ cbool__00) @
% 196.75/28.67 sk__4) @
% 196.75/28.67 (s__02 @
% 196.75/28.67 (cfun__02 @ (cfun__02 @ sk__3 @ cbool__00) @ cbool__00) @
% 196.75/28.67 sk__5)) @
% 196.75/28.67 sk__3))))))),
% 196.75/28.67 inference('demod', [status(thm)],
% 196.75/28.67 [zip_derived_cl13891, zip_derived_cl4564, zip_derived_cl4563,
% 196.75/28.67 zip_derived_cl4279, zip_derived_cl0])).
% 196.75/28.67 thf(zip_derived_cl13907, plain,
% 196.75/28.67 ((~ (p__01 @
% 196.75/28.67 (s__02 @ cbool__00 @
% 196.75/28.67 (c_27const_2epred__set_2eDISJOINT_27__02 @
% 196.75/28.67 (s__02 @ (cfun__02 @ sk__3 @ cbool__00) @
% 196.75/28.67 (sk__1 @
% 196.75/28.67 (sk__1 @ sk__7 @ sk__6 @
% 196.75/28.67 (c_27const_2eset__sep_2eSTAR_27__02 @
% 196.75/28.67 (s__02 @
% 196.75/28.67 (cfun__02 @ (cfun__02 @ sk__3 @ cbool__00) @ cbool__00) @
% 196.75/28.67 sk__4) @
% 196.75/28.67 (s__02 @
% 196.75/28.67 (cfun__02 @ (cfun__02 @ sk__3 @ cbool__00) @ cbool__00) @
% 196.75/28.67 sk__5)) @
% 196.75/28.67 sk__3) @
% 196.75/28.67 sk__5 @ sk__4 @ sk__3)) @
% 196.75/28.67 (s__02 @ (cfun__02 @ sk__3 @ cbool__00) @
% 196.75/28.67 (sk__2 @ sk__7 @ sk__6 @
% 196.75/28.67 (c_27const_2eset__sep_2eSTAR_27__02 @
% 196.75/28.67 (s__02 @
% 196.75/28.67 (cfun__02 @ (cfun__02 @ sk__3 @ cbool__00) @ cbool__00) @
% 196.75/28.67 sk__4) @
% 196.75/28.67 (s__02 @
% 196.75/28.67 (cfun__02 @ (cfun__02 @ sk__3 @ cbool__00) @ cbool__00) @
% 196.75/28.67 sk__5)) @
% 196.75/28.67 sk__3)))))
% 196.75/28.67 | ~ (p__01 @
% 196.75/28.67 (s__02 @ cbool__00 @
% 196.75/28.67 (c_27const_2epred__set_2eDISJOINT_27__02 @
% 196.75/28.67 (s__02 @ (cfun__02 @ sk__3 @ cbool__00) @
% 196.75/28.67 (sk__2 @
% 196.75/28.67 (sk__1 @ sk__7 @ sk__6 @
% 196.75/28.67 (c_27const_2eset__sep_2eSTAR_27__02 @
% 196.75/28.67 (s__02 @
% 196.75/28.67 (cfun__02 @ (cfun__02 @ sk__3 @ cbool__00) @ cbool__00) @
% 196.75/28.67 sk__4) @
% 196.75/28.67 (s__02 @
% 196.75/28.67 (cfun__02 @ (cfun__02 @ sk__3 @ cbool__00) @ cbool__00) @
% 196.75/28.67 sk__5)) @
% 196.75/28.67 sk__3) @
% 196.75/28.67 sk__5 @ sk__4 @ sk__3)) @
% 196.75/28.67 (s__02 @ (cfun__02 @ sk__3 @ cbool__00) @
% 196.75/28.67 (sk__2 @ sk__7 @ sk__6 @
% 196.75/28.67 (c_27const_2eset__sep_2eSTAR_27__02 @
% 196.75/28.67 (s__02 @
% 196.75/28.67 (cfun__02 @ (cfun__02 @ sk__3 @ cbool__00) @ cbool__00) @
% 196.75/28.67 sk__4) @
% 196.75/28.67 (s__02 @
% 196.75/28.67 (cfun__02 @ (cfun__02 @ sk__3 @ cbool__00) @ cbool__00) @
% 196.75/28.67 sk__5)) @
% 196.75/28.67 sk__3))))))),
% 196.75/28.67 inference('simplify', [status(thm)], [zip_derived_cl13906])).
% 196.75/28.67 thf(zip_derived_cl60759, plain,
% 196.75/28.67 ((~ (p__01 @
% 196.75/28.67 (s__02 @ cbool__00 @
% 196.75/28.67 (c_27const_2epred__set_2eDISJOINT_27__02 @
% 196.75/28.67 (s__02 @ (cfun__02 @ sk__3 @ cbool__00) @
% 196.75/28.67 (sk__1 @ sk__7 @ sk__6 @
% 196.75/28.67 (c_27const_2eset__sep_2eSTAR_27__02 @
% 196.75/28.67 (s__02 @
% 196.75/28.67 (cfun__02 @ (cfun__02 @ sk__3 @ cbool__00) @ cbool__00) @
% 196.75/28.67 sk__4) @
% 196.75/28.67 (s__02 @
% 196.75/28.67 (cfun__02 @ (cfun__02 @ sk__3 @ cbool__00) @ cbool__00) @
% 196.75/28.67 sk__5)) @
% 196.75/28.67 sk__3)) @
% 196.75/28.67 (s__02 @ (cfun__02 @ sk__3 @ cbool__00) @
% 196.75/28.67 (sk__2 @ sk__7 @ sk__6 @
% 196.75/28.67 (c_27const_2eset__sep_2eSTAR_27__02 @
% 196.75/28.67 (s__02 @
% 196.75/28.67 (cfun__02 @ (cfun__02 @ sk__3 @ cbool__00) @ cbool__00) @
% 196.75/28.67 sk__4) @
% 196.75/28.67 (s__02 @
% 196.75/28.67 (cfun__02 @ (cfun__02 @ sk__3 @ cbool__00) @ cbool__00) @
% 196.75/28.67 sk__5)) @
% 196.75/28.67 sk__3)))))
% 196.75/28.67 | ~ (p__01 @
% 196.75/28.67 (s__02 @ cbool__00 @
% 196.75/28.67 (c_27const_2epred__set_2eDISJOINT_27__02 @
% 196.75/28.67 (s__02 @ (cfun__02 @ sk__3 @ cbool__00) @
% 196.75/28.67 (sk__2 @
% 196.75/28.67 (sk__1 @ sk__7 @ sk__6 @
% 196.75/28.67 (c_27const_2eset__sep_2eSTAR_27__02 @
% 196.75/28.67 (s__02 @
% 196.75/28.67 (cfun__02 @ (cfun__02 @ sk__3 @ cbool__00) @ cbool__00) @
% 196.75/28.67 sk__4) @
% 196.75/28.67 (s__02 @
% 196.75/28.67 (cfun__02 @ (cfun__02 @ sk__3 @ cbool__00) @ cbool__00) @
% 196.75/28.67 sk__5)) @
% 196.75/28.67 sk__3) @
% 196.75/28.67 sk__5 @ sk__4 @ sk__3)) @
% 196.75/28.67 (s__02 @ (cfun__02 @ sk__3 @ cbool__00) @
% 196.75/28.67 (sk__2 @ sk__7 @ sk__6 @
% 196.75/28.67 (c_27const_2eset__sep_2eSTAR_27__02 @
% 196.75/28.67 (s__02 @
% 196.75/28.67 (cfun__02 @ (cfun__02 @ sk__3 @ cbool__00) @ cbool__00) @
% 196.75/28.67 sk__4) @
% 196.75/28.67 (s__02 @
% 196.75/28.67 (cfun__02 @ (cfun__02 @ sk__3 @ cbool__00) @ cbool__00) @
% 196.75/28.67 sk__5)) @
% 196.75/28.67 sk__3))))))),
% 196.75/28.67 inference('s_sup-', [status(thm)],
% 196.75/28.67 [zip_derived_cl5412, zip_derived_cl13907])).
% 196.75/28.67 thf(zip_derived_cl1691, plain,
% 196.75/28.67 (((s__02 @ cbool__00 @ cT__00)
% 196.75/28.67 = (s__02 @ cbool__00 @
% 196.75/28.67 (chapp__02 @
% 196.75/28.67 (s__02 @
% 196.75/28.67 (cfun__02 @ (cfun__02 @ sk__3 @ cbool__00) @ cbool__00) @
% 196.75/28.67 (c_27const_2eset__sep_2eSTAR_27__02 @
% 196.75/28.67 (s__02 @
% 196.75/28.67 (cfun__02 @ (cfun__02 @ sk__3 @ cbool__00) @ cbool__00) @
% 196.75/28.67 (c_27const_2eset__sep_2eSTAR_27__02 @
% 196.75/28.67 (s__02 @
% 196.75/28.67 (cfun__02 @ (cfun__02 @ sk__3 @ cbool__00) @ cbool__00) @
% 196.75/28.67 sk__4) @
% 196.75/28.67 (s__02 @
% 196.75/28.67 (cfun__02 @ (cfun__02 @ sk__3 @ cbool__00) @ cbool__00) @
% 196.75/28.67 sk__5))) @
% 196.75/28.67 (s__02 @
% 196.75/28.67 (cfun__02 @ (cfun__02 @ sk__3 @ cbool__00) @ cbool__00) @ sk__6))) @
% 196.75/28.67 (s__02 @ (cfun__02 @ sk__3 @ cbool__00) @ sk__7))))),
% 196.75/28.67 inference('s_sup-', [status(thm)], [zip_derived_cl180, zip_derived_cl32])).
% 196.75/28.67 thf(zip_derived_cl2413, plain,
% 196.75/28.67 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 196.75/28.67 (~ (p__01 @
% 196.75/28.67 (s__02 @ cbool__00 @
% 196.75/28.67 (chapp__02 @
% 196.75/28.67 (s__02 @ (cfun__02 @ (cfun__02 @ X0 @ cbool__00) @ cbool__00) @
% 196.75/28.67 (c_27const_2eset__sep_2eSTAR_27__02 @
% 196.75/28.67 (s__02 @
% 196.75/28.67 (cfun__02 @ (cfun__02 @ X0 @ cbool__00) @ cbool__00) @ X1) @
% 196.75/28.67 (s__02 @
% 196.75/28.67 (cfun__02 @ (cfun__02 @ X0 @ cbool__00) @ cbool__00) @ X2))) @
% 196.75/28.67 (s__02 @ (cfun__02 @ X0 @ cbool__00) @ X3))))
% 196.75/28.67 | (p__01 @
% 196.75/28.67 (s__02 @ cbool__00 @
% 196.75/28.67 (c_27const_2epred__set_2eDISJOINT_27__02 @
% 196.75/28.67 (s__02 @ (cfun__02 @ X0 @ cbool__00) @
% 196.75/28.67 (sk__1 @ X3 @ X2 @ X1 @ X0)) @
% 196.75/28.67 (s__02 @ (cfun__02 @ X0 @ cbool__00) @
% 196.75/28.67 (sk__2 @ X3 @ X2 @ X1 @ X0))))))),
% 196.75/28.67 inference('s_sup-', [status(thm)], [zip_derived_cl172, zip_derived_cl169])).
% 196.75/28.67 thf(zip_derived_cl2507, plain,
% 196.75/28.67 ((~ (p__01 @ (s__02 @ cbool__00 @ cT__00))
% 196.75/28.67 | (p__01 @
% 196.75/28.67 (s__02 @ cbool__00 @
% 196.75/28.67 (c_27const_2epred__set_2eDISJOINT_27__02 @
% 196.75/28.67 (s__02 @ (cfun__02 @ sk__3 @ cbool__00) @
% 196.75/28.67 (sk__1 @ sk__7 @ sk__6 @
% 196.75/28.67 (c_27const_2eset__sep_2eSTAR_27__02 @
% 196.75/28.67 (s__02 @
% 196.75/28.67 (cfun__02 @ (cfun__02 @ sk__3 @ cbool__00) @ cbool__00) @
% 196.75/28.67 sk__4) @
% 196.75/28.67 (s__02 @
% 196.75/28.67 (cfun__02 @ (cfun__02 @ sk__3 @ cbool__00) @ cbool__00) @
% 196.75/28.67 sk__5)) @
% 196.75/28.67 sk__3)) @
% 196.75/28.67 (s__02 @ (cfun__02 @ sk__3 @ cbool__00) @
% 196.75/28.67 (sk__2 @ sk__7 @ sk__6 @
% 196.75/28.67 (c_27const_2eset__sep_2eSTAR_27__02 @
% 196.75/28.67 (s__02 @
% 196.75/28.67 (cfun__02 @ (cfun__02 @ sk__3 @ cbool__00) @ cbool__00) @
% 196.75/28.67 sk__4) @
% 196.75/28.67 (s__02 @
% 196.75/28.67 (cfun__02 @ (cfun__02 @ sk__3 @ cbool__00) @ cbool__00) @
% 196.75/28.67 sk__5)) @
% 196.75/28.67 sk__3))))))),
% 196.75/28.67 inference('s_sup-', [status(thm)],
% 196.75/28.67 [zip_derived_cl1691, zip_derived_cl2413])).
% 196.75/28.67 thf(zip_derived_cl0, plain, ( (p__01 @ (s__02 @ cbool__00 @ cT__00))),
% 196.75/28.67 inference('cnf', [status(esa)], [HL_TRUTH])).
% 196.75/28.67 thf(zip_derived_cl2511, plain,
% 196.75/28.67 ( (p__01 @
% 196.75/28.67 (s__02 @ cbool__00 @
% 196.75/28.67 (c_27const_2epred__set_2eDISJOINT_27__02 @
% 196.75/28.67 (s__02 @ (cfun__02 @ sk__3 @ cbool__00) @
% 196.75/28.67 (sk__1 @ sk__7 @ sk__6 @
% 196.75/28.67 (c_27const_2eset__sep_2eSTAR_27__02 @
% 196.75/28.67 (s__02 @
% 196.75/28.67 (cfun__02 @ (cfun__02 @ sk__3 @ cbool__00) @ cbool__00) @ sk__4) @
% 196.75/28.67 (s__02 @
% 196.75/28.67 (cfun__02 @ (cfun__02 @ sk__3 @ cbool__00) @ cbool__00) @ sk__5)) @
% 196.75/28.67 sk__3)) @
% 196.75/28.67 (s__02 @ (cfun__02 @ sk__3 @ cbool__00) @
% 196.75/28.67 (sk__2 @ sk__7 @ sk__6 @
% 196.75/28.67 (c_27const_2eset__sep_2eSTAR_27__02 @
% 196.75/28.67 (s__02 @
% 196.75/28.67 (cfun__02 @ (cfun__02 @ sk__3 @ cbool__00) @ cbool__00) @ sk__4) @
% 196.75/28.67 (s__02 @
% 196.75/28.67 (cfun__02 @ (cfun__02 @ sk__3 @ cbool__00) @ cbool__00) @ sk__5)) @
% 196.75/28.67 sk__3)))))),
% 196.75/28.67 inference('demod', [status(thm)], [zip_derived_cl2507, zip_derived_cl0])).
% 196.75/28.67 thf(zip_derived_cl32, plain,
% 196.75/28.67 (![X0 : $i]:
% 196.75/28.67 (((s__02 @ cbool__00 @ cT__00) = (s__02 @ cbool__00 @ X0))
% 196.75/28.67 | ~ (p__01 @ (s__02 @ cbool__00 @ X0)))),
% 196.75/28.67 inference('cnf', [status(esa)], [thm.bool.EQ_CLAUSES])).
% 196.75/28.67 thf(zip_derived_cl3815, plain,
% 196.75/28.67 (((s__02 @ cbool__00 @ cT__00)
% 196.75/28.67 = (s__02 @ cbool__00 @
% 196.75/28.67 (c_27const_2epred__set_2eDISJOINT_27__02 @
% 196.75/28.67 (s__02 @ (cfun__02 @ sk__3 @ cbool__00) @
% 196.75/28.67 (sk__1 @ sk__7 @ sk__6 @
% 196.75/28.67 (c_27const_2eset__sep_2eSTAR_27__02 @
% 196.75/28.67 (s__02 @
% 196.75/28.67 (cfun__02 @ (cfun__02 @ sk__3 @ cbool__00) @ cbool__00) @
% 196.75/28.67 sk__4) @
% 196.75/28.67 (s__02 @
% 196.75/28.67 (cfun__02 @ (cfun__02 @ sk__3 @ cbool__00) @ cbool__00) @
% 196.75/28.67 sk__5)) @
% 196.75/28.67 sk__3)) @
% 196.75/28.67 (s__02 @ (cfun__02 @ sk__3 @ cbool__00) @
% 196.75/28.67 (sk__2 @ sk__7 @ sk__6 @
% 196.75/28.67 (c_27const_2eset__sep_2eSTAR_27__02 @
% 196.75/28.67 (s__02 @
% 196.75/28.67 (cfun__02 @ (cfun__02 @ sk__3 @ cbool__00) @ cbool__00) @
% 196.75/28.67 sk__4) @
% 196.75/28.67 (s__02 @
% 196.75/28.67 (cfun__02 @ (cfun__02 @ sk__3 @ cbool__00) @ cbool__00) @
% 196.75/28.67 sk__5)) @
% 196.75/28.67 sk__3)))))),
% 196.75/28.67 inference('s_sup-', [status(thm)], [zip_derived_cl2511, zip_derived_cl32])).
% 196.75/28.67 thf(zip_derived_cl0, plain, ( (p__01 @ (s__02 @ cbool__00 @ cT__00))),
% 196.75/28.67 inference('cnf', [status(esa)], [HL_TRUTH])).
% 196.75/28.67 thf(zip_derived_cl60813, plain,
% 196.75/28.67 (~ (p__01 @
% 196.75/28.67 (s__02 @ cbool__00 @
% 196.75/28.67 (c_27const_2epred__set_2eDISJOINT_27__02 @
% 196.75/28.67 (s__02 @ (cfun__02 @ sk__3 @ cbool__00) @
% 196.75/28.67 (sk__2 @
% 196.75/28.67 (sk__1 @ sk__7 @ sk__6 @
% 196.75/28.67 (c_27const_2eset__sep_2eSTAR_27__02 @
% 196.75/28.67 (s__02 @
% 196.75/28.67 (cfun__02 @ (cfun__02 @ sk__3 @ cbool__00) @ cbool__00) @
% 196.75/28.67 sk__4) @
% 196.75/28.67 (s__02 @
% 196.75/28.67 (cfun__02 @ (cfun__02 @ sk__3 @ cbool__00) @ cbool__00) @
% 196.75/28.67 sk__5)) @
% 196.75/28.67 sk__3) @
% 196.75/28.67 sk__5 @ sk__4 @ sk__3)) @
% 196.75/28.67 (s__02 @ (cfun__02 @ sk__3 @ cbool__00) @
% 196.75/28.67 (sk__2 @ sk__7 @ sk__6 @
% 196.75/28.67 (c_27const_2eset__sep_2eSTAR_27__02 @
% 196.75/28.67 (s__02 @
% 196.75/28.67 (cfun__02 @ (cfun__02 @ sk__3 @ cbool__00) @ cbool__00) @ sk__4) @
% 196.75/28.67 (s__02 @
% 196.75/28.67 (cfun__02 @ (cfun__02 @ sk__3 @ cbool__00) @ cbool__00) @ sk__5)) @
% 196.75/28.67 sk__3)))))),
% 196.75/28.67 inference('demod', [status(thm)],
% 196.75/28.67 [zip_derived_cl60759, zip_derived_cl3815, zip_derived_cl0])).
% 196.75/28.67 thf(zip_derived_cl60816, plain,
% 196.75/28.67 (((s__02 @ cbool__00 @
% 196.75/28.67 (c_27const_2epred__set_2eDISJOINT_27__02 @
% 196.75/28.67 (s__02 @ (cfun__02 @ sk__3 @ cbool__00) @
% 196.75/28.67 (sk__2 @
% 196.75/28.67 (sk__1 @ sk__7 @ sk__6 @
% 196.75/28.67 (c_27const_2eset__sep_2eSTAR_27__02 @
% 196.75/28.67 (s__02 @
% 196.75/28.67 (cfun__02 @ (cfun__02 @ sk__3 @ cbool__00) @ cbool__00) @ sk__4) @
% 196.75/28.67 (s__02 @
% 196.75/28.67 (cfun__02 @ (cfun__02 @ sk__3 @ cbool__00) @ cbool__00) @ sk__5)) @
% 196.75/28.67 sk__3) @
% 196.75/28.67 sk__5 @ sk__4 @ sk__3)) @
% 196.75/28.67 (s__02 @ (cfun__02 @ sk__3 @ cbool__00) @
% 196.75/28.67 (sk__2 @ sk__7 @ sk__6 @
% 196.75/28.67 (c_27const_2eset__sep_2eSTAR_27__02 @
% 196.75/28.67 (s__02 @
% 196.75/28.67 (cfun__02 @ (cfun__02 @ sk__3 @ cbool__00) @ cbool__00) @ sk__4) @
% 196.75/28.67 (s__02 @
% 196.75/28.67 (cfun__02 @ (cfun__02 @ sk__3 @ cbool__00) @ cbool__00) @ sk__5)) @
% 196.75/28.67 sk__3))))
% 196.75/28.67 = (s__02 @ cbool__00 @ cF__00))),
% 196.75/28.67 inference('s_sup-', [status(thm)],
% 196.75/28.67 [zip_derived_cl1592, zip_derived_cl60813])).
% 196.75/28.67 thf(zip_derived_cl4564, plain,
% 196.75/28.67 (((s__02 @ (cfun__02 @ sk__3 @ cbool__00) @
% 196.75/28.67 (c_27const_2epred__set_2eUNION_27__02 @
% 196.75/28.67 (s__02 @ (cfun__02 @ sk__3 @ cbool__00) @
% 196.75/28.67 (sk__1 @
% 196.75/28.67 (sk__1 @ sk__7 @ sk__6 @
% 196.75/28.67 (c_27const_2eset__sep_2eSTAR_27__02 @
% 196.75/28.67 (s__02 @
% 196.75/28.67 (cfun__02 @ (cfun__02 @ sk__3 @ cbool__00) @ cbool__00) @ sk__4) @
% 196.75/28.67 (s__02 @
% 196.75/28.67 (cfun__02 @ (cfun__02 @ sk__3 @ cbool__00) @ cbool__00) @ sk__5)) @
% 196.75/28.67 sk__3) @
% 196.75/28.67 sk__5 @ sk__4 @ sk__3)) @
% 196.75/28.67 (s__02 @ (cfun__02 @ sk__3 @ cbool__00) @
% 196.75/28.67 (sk__2 @
% 196.75/28.67 (sk__1 @ sk__7 @ sk__6 @
% 196.75/28.67 (c_27const_2eset__sep_2eSTAR_27__02 @
% 196.75/28.67 (s__02 @
% 196.75/28.67 (cfun__02 @ (cfun__02 @ sk__3 @ cbool__00) @ cbool__00) @ sk__4) @
% 196.75/28.67 (s__02 @
% 196.75/28.67 (cfun__02 @ (cfun__02 @ sk__3 @ cbool__00) @ cbool__00) @ sk__5)) @
% 196.75/28.67 sk__3) @
% 196.75/28.67 sk__5 @ sk__4 @ sk__3))))
% 196.75/28.67 = (s__02 @ (cfun__02 @ sk__3 @ cbool__00) @
% 196.75/28.67 (sk__1 @ sk__7 @ sk__6 @
% 196.75/28.67 (c_27const_2eset__sep_2eSTAR_27__02 @
% 196.75/28.67 (s__02 @
% 196.75/28.67 (cfun__02 @ (cfun__02 @ sk__3 @ cbool__00) @ cbool__00) @ sk__4) @
% 196.75/28.67 (s__02 @
% 196.75/28.67 (cfun__02 @ (cfun__02 @ sk__3 @ cbool__00) @ cbool__00) @ sk__5)) @
% 196.75/28.67 sk__3)))),
% 196.75/28.67 inference('demod', [status(thm)], [zip_derived_cl4559, zip_derived_cl0])).
% 196.75/28.67 thf(zip_derived_cl166, plain,
% 196.75/28.67 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 196.75/28.67 ( (p__01 @
% 196.75/28.67 (s__02 @ cbool__00 @
% 196.75/28.67 (c_27const_2epred__set_2eDISJOINT_27__02 @
% 196.75/28.67 (s__02 @ (cfun__02 @ X0 @ cbool__00) @ X1) @
% 196.75/28.67 (s__02 @ (cfun__02 @ X0 @ cbool__00) @ X2))))
% 196.75/28.67 | ~ (p__01 @
% 196.75/28.67 (s__02 @ cbool__00 @
% 196.75/28.67 (c_27const_2epred__set_2eDISJOINT_27__02 @
% 196.75/28.67 (s__02 @ (cfun__02 @ X0 @ cbool__00) @
% 196.75/28.67 (c_27const_2epred__set_2eUNION_27__02 @
% 196.75/28.67 (s__02 @ (cfun__02 @ X0 @ cbool__00) @ X3) @
% 196.75/28.67 (s__02 @ (cfun__02 @ X0 @ cbool__00) @ X1))) @
% 196.75/28.67 (s__02 @ (cfun__02 @ X0 @ cbool__00) @ X2)))))),
% 196.75/28.67 inference('cnf', [status(esa)], [thm.pred_set.DISJOINT_UNION])).
% 196.75/28.67 thf(zip_derived_cl5413, plain,
% 196.75/28.67 (![X0 : $i]:
% 196.75/28.67 ( (p__01 @
% 196.75/28.67 (s__02 @ cbool__00 @
% 196.75/28.67 (c_27const_2epred__set_2eDISJOINT_27__02 @
% 196.75/28.67 (s__02 @ (cfun__02 @ sk__3 @ cbool__00) @
% 196.75/28.67 (sk__2 @
% 196.75/28.67 (sk__1 @ sk__7 @ sk__6 @
% 196.75/28.67 (c_27const_2eset__sep_2eSTAR_27__02 @
% 196.75/28.67 (s__02 @
% 196.75/28.67 (cfun__02 @ (cfun__02 @ sk__3 @ cbool__00) @ cbool__00) @
% 196.75/28.67 sk__4) @
% 196.75/28.67 (s__02 @
% 196.75/28.67 (cfun__02 @ (cfun__02 @ sk__3 @ cbool__00) @ cbool__00) @
% 196.75/28.67 sk__5)) @
% 196.75/28.67 sk__3) @
% 196.75/28.67 sk__5 @ sk__4 @ sk__3)) @
% 196.75/28.67 (s__02 @ (cfun__02 @ sk__3 @ cbool__00) @ X0))))
% 196.75/28.67 | ~ (p__01 @
% 196.75/28.67 (s__02 @ cbool__00 @
% 196.75/28.67 (c_27const_2epred__set_2eDISJOINT_27__02 @
% 196.75/28.67 (s__02 @ (cfun__02 @ sk__3 @ cbool__00) @
% 196.75/28.67 (sk__1 @ sk__7 @ sk__6 @
% 196.75/28.67 (c_27const_2eset__sep_2eSTAR_27__02 @
% 196.75/28.67 (s__02 @
% 196.75/28.67 (cfun__02 @ (cfun__02 @ sk__3 @ cbool__00) @ cbool__00) @
% 196.75/28.67 sk__4) @
% 196.75/28.67 (s__02 @
% 196.75/28.67 (cfun__02 @ (cfun__02 @ sk__3 @ cbool__00) @ cbool__00) @
% 196.75/28.67 sk__5)) @
% 196.75/28.67 sk__3)) @
% 196.75/28.67 (s__02 @ (cfun__02 @ sk__3 @ cbool__00) @ X0)))))),
% 196.75/28.67 inference('s_sup-', [status(thm)],
% 196.75/28.67 [zip_derived_cl4564, zip_derived_cl166])).
% 196.75/28.67 thf(zip_derived_cl61811, plain,
% 196.75/28.67 (( (p__01 @ (s__02 @ cbool__00 @ cF__00))
% 196.75/28.67 | ~ (p__01 @
% 196.75/28.67 (s__02 @ cbool__00 @
% 196.75/28.67 (c_27const_2epred__set_2eDISJOINT_27__02 @
% 196.75/28.67 (s__02 @ (cfun__02 @ sk__3 @ cbool__00) @
% 196.75/28.67 (sk__1 @ sk__7 @ sk__6 @
% 196.75/28.67 (c_27const_2eset__sep_2eSTAR_27__02 @
% 196.75/28.67 (s__02 @
% 196.75/28.67 (cfun__02 @ (cfun__02 @ sk__3 @ cbool__00) @ cbool__00) @
% 196.75/28.67 sk__4) @
% 196.75/28.67 (s__02 @
% 196.75/28.67 (cfun__02 @ (cfun__02 @ sk__3 @ cbool__00) @ cbool__00) @
% 196.75/28.67 sk__5)) @
% 196.75/28.67 sk__3)) @
% 196.75/28.67 (s__02 @ (cfun__02 @ sk__3 @ cbool__00) @
% 196.75/28.67 (sk__2 @ sk__7 @ sk__6 @
% 196.75/28.67 (c_27const_2eset__sep_2eSTAR_27__02 @
% 196.75/28.67 (s__02 @
% 196.75/28.67 (cfun__02 @ (cfun__02 @ sk__3 @ cbool__00) @ cbool__00) @
% 196.75/28.67 sk__4) @
% 196.75/28.67 (s__02 @
% 196.75/28.67 (cfun__02 @ (cfun__02 @ sk__3 @ cbool__00) @ cbool__00) @
% 196.75/28.67 sk__5)) @
% 196.75/28.67 sk__3))))))),
% 196.75/28.67 inference('s_sup+', [status(thm)],
% 196.75/28.67 [zip_derived_cl60816, zip_derived_cl5413])).
% 196.75/28.67 thf(HL_FALSITY, axiom, (~( p__01 @ ( s__02 @ cbool__00 @ cF__00 ) ))).
% 196.75/28.67 thf(zip_derived_cl1, plain, (~ (p__01 @ (s__02 @ cbool__00 @ cF__00))),
% 196.75/28.67 inference('cnf', [status(esa)], [HL_FALSITY])).
% 196.75/28.67 thf(zip_derived_cl3815, plain,
% 196.75/28.67 (((s__02 @ cbool__00 @ cT__00)
% 196.75/28.67 = (s__02 @ cbool__00 @
% 196.75/28.67 (c_27const_2epred__set_2eDISJOINT_27__02 @
% 196.75/28.67 (s__02 @ (cfun__02 @ sk__3 @ cbool__00) @
% 196.75/28.67 (sk__1 @ sk__7 @ sk__6 @
% 196.75/28.67 (c_27const_2eset__sep_2eSTAR_27__02 @
% 196.75/28.67 (s__02 @
% 196.75/28.67 (cfun__02 @ (cfun__02 @ sk__3 @ cbool__00) @ cbool__00) @
% 196.75/28.67 sk__4) @
% 196.75/28.67 (s__02 @
% 196.75/28.67 (cfun__02 @ (cfun__02 @ sk__3 @ cbool__00) @ cbool__00) @
% 196.75/28.67 sk__5)) @
% 196.75/28.67 sk__3)) @
% 196.75/28.67 (s__02 @ (cfun__02 @ sk__3 @ cbool__00) @
% 196.75/28.67 (sk__2 @ sk__7 @ sk__6 @
% 196.75/28.67 (c_27const_2eset__sep_2eSTAR_27__02 @
% 196.75/28.67 (s__02 @
% 196.75/28.67 (cfun__02 @ (cfun__02 @ sk__3 @ cbool__00) @ cbool__00) @
% 196.75/28.67 sk__4) @
% 196.75/28.67 (s__02 @
% 196.75/28.67 (cfun__02 @ (cfun__02 @ sk__3 @ cbool__00) @ cbool__00) @
% 196.75/28.67 sk__5)) @
% 196.75/28.67 sk__3)))))),
% 196.75/28.67 inference('s_sup-', [status(thm)], [zip_derived_cl2511, zip_derived_cl32])).
% 196.75/28.67 thf(zip_derived_cl0, plain, ( (p__01 @ (s__02 @ cbool__00 @ cT__00))),
% 196.75/28.67 inference('cnf', [status(esa)], [HL_TRUTH])).
% 196.75/28.67 thf(zip_derived_cl61830, plain, ($false),
% 196.75/28.67 inference('demod', [status(thm)],
% 196.75/28.67 [zip_derived_cl61811, zip_derived_cl1, zip_derived_cl3815,
% 196.75/28.67 zip_derived_cl0])).
% 196.75/28.67
% 196.75/28.67 % SZS output end Refutation
% 196.75/28.67
% 196.75/28.67
% 196.75/28.67 % Terminating...
% 196.75/28.71 % Runner terminated.
% 196.75/28.72 % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------