TSTP Solution File: HWV001-1 by Zipperpin---2.1.9999
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- Process Solution
%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : HWV001-1 : TPTP v8.1.2. Released v1.1.0.
% Transfm : NO INFORMATION
% Format : NO INFORMATION
% Command : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.ajWkPdxEMM true
% Computer : n001.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Thu Aug 31 03:04:50 EDT 2023
% Result : Unsatisfiable 8.59s 1.87s
% Output : Refutation 8.59s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.13 % Problem : HWV001-1 : TPTP v8.1.2. Released v1.1.0.
% 0.00/0.14 % Command : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.ajWkPdxEMM true
% 0.13/0.35 % Computer : n001.cluster.edu
% 0.13/0.35 % Model : x86_64 x86_64
% 0.13/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.35 % Memory : 8042.1875MB
% 0.13/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.35 % CPULimit : 300
% 0.13/0.35 % WCLimit : 300
% 0.13/0.35 % DateTime : Tue Aug 29 15:01:53 EDT 2023
% 0.13/0.35 % CPUTime :
% 0.13/0.35 % Running portfolio for 300 s
% 0.13/0.35 % File : /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.13/0.35 % Number of cores: 8
% 0.13/0.36 % Python version: Python 3.6.8
% 0.13/0.36 % Running in FO mode
% 0.21/0.66 % Total configuration time : 435
% 0.21/0.66 % Estimated wc time : 1092
% 0.21/0.66 % Estimated cpu time (7 cpus) : 156.0
% 0.21/0.73 % /export/starexec/sandbox2/solver/bin/fo/fo6_bce.sh running for 75s
% 0.21/0.73 % /export/starexec/sandbox2/solver/bin/fo/fo3_bce.sh running for 75s
% 0.99/0.76 % /export/starexec/sandbox2/solver/bin/fo/fo1_av.sh running for 75s
% 0.99/0.76 % /export/starexec/sandbox2/solver/bin/fo/fo7.sh running for 63s
% 0.99/0.76 % /export/starexec/sandbox2/solver/bin/fo/fo13.sh running for 50s
% 0.99/0.76 % /export/starexec/sandbox2/solver/bin/fo/fo5.sh running for 50s
% 0.99/0.76 % /export/starexec/sandbox2/solver/bin/fo/fo4.sh running for 50s
% 8.59/1.87 % Solved by fo/fo3_bce.sh.
% 8.59/1.87 % BCE start: 47
% 8.59/1.87 % BCE eliminated: 0
% 8.59/1.87 % PE start: 47
% 8.59/1.87 logic: eq
% 8.59/1.87 % PE eliminated: 1
% 8.59/1.87 % done 991 iterations in 1.110s
% 8.59/1.87 % SZS status Theorem for '/export/starexec/sandbox2/benchmark/theBenchmark.p'
% 8.59/1.87 % SZS output start Refutation
% 8.59/1.87 thf(a2_type, type, a2: $i).
% 8.59/1.87 thf(circuit_type, type, circuit: $i > $i > $o).
% 8.59/1.87 thf(b3_type, type, b3: $i).
% 8.59/1.87 thf(e2_type, type, e2: $i).
% 8.59/1.87 thf(e1_type, type, e1: $i).
% 8.59/1.87 thf(c2_type, type, c2: $i).
% 8.59/1.87 thf(a1_type, type, a1: $i).
% 8.59/1.87 thf(or_type, type, or: $i > $i > $i).
% 8.59/1.87 thf(b1_type, type, b1: $i).
% 8.59/1.87 thf(n0_type, type, n0: $i).
% 8.59/1.87 thf(f3_type, type, f3: $i).
% 8.59/1.87 thf(f1_type, type, f1: $i).
% 8.59/1.87 thf(i1_type, type, i1: $i).
% 8.59/1.87 thf(d3_type, type, d3: $i).
% 8.59/1.87 thf(d2_type, type, d2: $i).
% 8.59/1.87 thf(input_type, type, input: $i > $i > $i).
% 8.59/1.87 thf(b2_type, type, b2: $i).
% 8.59/1.87 thf(c1_type, type, c1: $i).
% 8.59/1.87 thf(and_type, type, and: $i > $i > $i).
% 8.59/1.87 thf(not_type, type, not: $i > $i).
% 8.59/1.87 thf(output_type, type, output: $i > $i > $i).
% 8.59/1.87 thf(i2_type, type, i2: $i).
% 8.59/1.87 thf(d1_type, type, d1: $i).
% 8.59/1.87 thf(f2_type, type, f2: $i).
% 8.59/1.87 thf(circuit_description, conjecture,
% 8.59/1.87 (~( circuit @ ( input @ i1 @ i2 ) @ ( output @ a1 @ a2 ) ))).
% 8.59/1.87 thf(zf_stmt_0, negated_conjecture,
% 8.59/1.87 (circuit @ ( input @ i1 @ i2 ) @ ( output @ a1 @ a2 )),
% 8.59/1.87 inference('cnf.neg', [status(esa)], [circuit_description])).
% 8.59/1.87 thf(zip_derived_cl45, plain,
% 8.59/1.87 ( (circuit @ (input @ i1 @ i2) @ (output @ a1 @ a2))),
% 8.59/1.87 inference('cnf', [status(esa)], [zf_stmt_0])).
% 8.59/1.87 thf(prove_interchange, conjecture,
% 8.59/1.87 (circuit @ ( input @ i1 @ i2 ) @ ( output @ i2 @ i1 ))).
% 8.59/1.87 thf(zf_stmt_1, negated_conjecture,
% 8.59/1.87 (~( circuit @ ( input @ i1 @ i2 ) @ ( output @ i2 @ i1 ) )),
% 8.59/1.87 inference('cnf.neg', [status(esa)], [prove_interchange])).
% 8.59/1.87 thf(zip_derived_cl46, plain,
% 8.59/1.87 (~ (circuit @ (input @ i1 @ i2) @ (output @ i2 @ i1))),
% 8.59/1.87 inference('cnf', [status(esa)], [zf_stmt_1])).
% 8.59/1.87 thf(zip_derived_cl53, plain,
% 8.59/1.87 ((((input @ i1 @ i2) != (input @ i1 @ i2))
% 8.59/1.87 | ((output @ a1 @ a2) != (output @ i2 @ i1)))),
% 8.59/1.87 inference('dp-resolution', [status(thm)],
% 8.59/1.87 [zip_derived_cl45, zip_derived_cl46])).
% 8.59/1.87 thf(zip_derived_cl76, plain, (((output @ a1 @ a2) != (output @ i2 @ i1))),
% 8.59/1.87 inference('simplify', [status(thm)], [zip_derived_cl53])).
% 8.59/1.87 thf(constructor11, conjecture, (( e1 ) != ( or @ f1 @ f3 ))).
% 8.59/1.87 thf(zf_stmt_2, negated_conjecture, (( e1 ) = ( or @ f1 @ f3 )),
% 8.59/1.87 inference('cnf.neg', [status(esa)], [constructor11])).
% 8.59/1.87 thf(zip_derived_cl40, plain, (((e1) = (or @ f1 @ f3))),
% 8.59/1.87 inference('cnf', [status(esa)], [zf_stmt_2])).
% 8.59/1.87 thf(constructor8, conjecture, (( d3 ) != ( f3 ))).
% 8.59/1.87 thf(zf_stmt_3, negated_conjecture, (( d3 ) = ( f3 )),
% 8.59/1.87 inference('cnf.neg', [status(esa)], [constructor8])).
% 8.59/1.87 thf(zip_derived_cl37, plain, (((d3) = (f3))),
% 8.59/1.87 inference('cnf', [status(esa)], [zf_stmt_3])).
% 8.59/1.87 thf(zip_derived_cl54, plain, (((e1) = (or @ f1 @ d3))),
% 8.59/1.87 inference('demod', [status(thm)], [zip_derived_cl40, zip_derived_cl37])).
% 8.59/1.87 thf(constructor9, conjecture, (( d1 ) != ( not @ e1 ))).
% 8.59/1.87 thf(zf_stmt_4, negated_conjecture, (( d1 ) = ( not @ e1 )),
% 8.59/1.87 inference('cnf.neg', [status(esa)], [constructor9])).
% 8.59/1.87 thf(zip_derived_cl38, plain, (((d1) = (not @ e1))),
% 8.59/1.87 inference('cnf', [status(esa)], [zf_stmt_4])).
% 8.59/1.87 thf(not_simplification, axiom, (( not @ ( not @ X ) ) = ( X ))).
% 8.59/1.87 thf(zip_derived_cl27, plain, (![X0 : $i]: ((not @ (not @ X0)) = (X0))),
% 8.59/1.87 inference('cnf', [status(esa)], [not_simplification])).
% 8.59/1.87 thf(zip_derived_cl61, plain, (((not @ d1) = (e1))),
% 8.59/1.87 inference('sup+', [status(thm)], [zip_derived_cl38, zip_derived_cl27])).
% 8.59/1.87 thf(constructor3, conjecture, (( b1 ) != ( not @ d1 ))).
% 8.59/1.87 thf(zf_stmt_5, negated_conjecture, (( b1 ) = ( not @ d1 )),
% 8.59/1.87 inference('cnf.neg', [status(esa)], [constructor3])).
% 8.59/1.87 thf(zip_derived_cl32, plain, (((b1) = (not @ d1))),
% 8.59/1.87 inference('cnf', [status(esa)], [zf_stmt_5])).
% 8.59/1.87 thf(zip_derived_cl65, plain, (((b1) = (e1))),
% 8.59/1.87 inference('demod', [status(thm)], [zip_derived_cl61, zip_derived_cl32])).
% 8.59/1.87 thf(zip_derived_cl68, plain, (((b1) = (or @ f1 @ d3))),
% 8.59/1.87 inference('demod', [status(thm)], [zip_derived_cl54, zip_derived_cl65])).
% 8.59/1.87 thf(or_commutativity, axiom, (( or @ X @ Y ) = ( or @ Y @ X ))).
% 8.59/1.87 thf(zip_derived_cl7, plain,
% 8.59/1.87 (![X0 : $i, X1 : $i]: ((or @ X1 @ X0) = (or @ X0 @ X1))),
% 8.59/1.87 inference('cnf', [status(esa)], [or_commutativity])).
% 8.59/1.87 thf(zip_derived_cl107, plain, (((b1) = (or @ d3 @ f1))),
% 8.59/1.87 inference('sup+', [status(thm)], [zip_derived_cl68, zip_derived_cl7])).
% 8.59/1.87 thf(not_canonicalization2, axiom,
% 8.59/1.87 (( not @ ( or @ X @ Y ) ) = ( and @ ( not @ X ) @ ( not @ Y ) ))).
% 8.59/1.87 thf(zip_derived_cl13, plain,
% 8.59/1.87 (![X0 : $i, X1 : $i]:
% 8.59/1.87 ((not @ (or @ X0 @ X1)) = (and @ (not @ X0) @ (not @ X1)))),
% 8.59/1.87 inference('cnf', [status(esa)], [not_canonicalization2])).
% 8.59/1.87 thf(zip_derived_cl721, plain,
% 8.59/1.87 (((not @ b1) = (and @ (not @ d3) @ (not @ f1)))),
% 8.59/1.87 inference('sup+', [status(thm)], [zip_derived_cl107, zip_derived_cl13])).
% 8.59/1.87 thf(zip_derived_cl32, plain, (((b1) = (not @ d1))),
% 8.59/1.87 inference('cnf', [status(esa)], [zf_stmt_5])).
% 8.59/1.87 thf(zip_derived_cl27, plain, (![X0 : $i]: ((not @ (not @ X0)) = (X0))),
% 8.59/1.87 inference('cnf', [status(esa)], [not_simplification])).
% 8.59/1.87 thf(zip_derived_cl59, plain, (((not @ b1) = (d1))),
% 8.59/1.87 inference('sup+', [status(thm)], [zip_derived_cl32, zip_derived_cl27])).
% 8.59/1.87 thf(constructor13, conjecture, (( f1 ) != ( not @ i1 ))).
% 8.59/1.87 thf(zf_stmt_6, negated_conjecture, (( f1 ) = ( not @ i1 )),
% 8.59/1.87 inference('cnf.neg', [status(esa)], [constructor13])).
% 8.59/1.87 thf(zip_derived_cl42, plain, (((f1) = (not @ i1))),
% 8.59/1.87 inference('cnf', [status(esa)], [zf_stmt_6])).
% 8.59/1.87 thf(zip_derived_cl27, plain, (![X0 : $i]: ((not @ (not @ X0)) = (X0))),
% 8.59/1.87 inference('cnf', [status(esa)], [not_simplification])).
% 8.59/1.87 thf(zip_derived_cl63, plain, (((not @ f1) = (i1))),
% 8.59/1.87 inference('sup+', [status(thm)], [zip_derived_cl42, zip_derived_cl27])).
% 8.59/1.87 thf(and_commutativity, axiom, (( and @ X @ Y ) = ( and @ Y @ X ))).
% 8.59/1.87 thf(zip_derived_cl6, plain,
% 8.59/1.87 (![X0 : $i, X1 : $i]: ((and @ X1 @ X0) = (and @ X0 @ X1))),
% 8.59/1.87 inference('cnf', [status(esa)], [and_commutativity])).
% 8.59/1.87 thf(zip_derived_cl742, plain, (((d1) = (and @ i1 @ (not @ d3)))),
% 8.59/1.87 inference('demod', [status(thm)],
% 8.59/1.87 [zip_derived_cl721, zip_derived_cl59, zip_derived_cl63,
% 8.59/1.87 zip_derived_cl6])).
% 8.59/1.87 thf(and_or_not_simplification1, axiom,
% 8.59/1.87 (( or @ ( and @ X @ Y ) @ ( and @ X @ ( not @ Y ) ) ) = ( X ))).
% 8.59/1.87 thf(zip_derived_cl28, plain,
% 8.59/1.87 (![X0 : $i, X1 : $i]:
% 8.59/1.87 ((or @ (and @ X0 @ X1) @ (and @ X0 @ (not @ X1))) = (X0))),
% 8.59/1.87 inference('cnf', [status(esa)], [and_or_not_simplification1])).
% 8.59/1.87 thf(zip_derived_cl2177, plain, (((or @ (and @ i1 @ d3) @ d1) = (i1))),
% 8.59/1.87 inference('sup+', [status(thm)], [zip_derived_cl742, zip_derived_cl28])).
% 8.59/1.87 thf(zip_derived_cl6, plain,
% 8.59/1.87 (![X0 : $i, X1 : $i]: ((and @ X1 @ X0) = (and @ X0 @ X1))),
% 8.59/1.87 inference('cnf', [status(esa)], [and_commutativity])).
% 8.59/1.87 thf(constructor15, conjecture, (( f3 ) != ( and @ i1 @ i2 ))).
% 8.59/1.87 thf(zf_stmt_7, negated_conjecture, (( f3 ) = ( and @ i1 @ i2 )),
% 8.59/1.87 inference('cnf.neg', [status(esa)], [constructor15])).
% 8.59/1.87 thf(zip_derived_cl44, plain, (((f3) = (and @ i1 @ i2))),
% 8.59/1.87 inference('cnf', [status(esa)], [zf_stmt_7])).
% 8.59/1.87 thf(zip_derived_cl37, plain, (((d3) = (f3))),
% 8.59/1.87 inference('cnf', [status(esa)], [zf_stmt_3])).
% 8.59/1.87 thf(zip_derived_cl75, plain, (((d3) = (and @ i1 @ i2))),
% 8.59/1.87 inference('demod', [status(thm)], [zip_derived_cl44, zip_derived_cl37])).
% 8.59/1.87 thf(and_simplification3, axiom,
% 8.59/1.87 (( and @ ( and @ X @ Y ) @ X ) = ( and @ X @ Y ))).
% 8.59/1.87 thf(zip_derived_cl17, plain,
% 8.59/1.87 (![X0 : $i, X1 : $i]: ((and @ (and @ X0 @ X1) @ X0) = (and @ X0 @ X1))),
% 8.59/1.87 inference('cnf', [status(esa)], [and_simplification3])).
% 8.59/1.87 thf(zip_derived_cl620, plain, (((and @ d3 @ i1) = (and @ i1 @ i2))),
% 8.59/1.87 inference('sup+', [status(thm)], [zip_derived_cl75, zip_derived_cl17])).
% 8.59/1.87 thf(zip_derived_cl75, plain, (((d3) = (and @ i1 @ i2))),
% 8.59/1.87 inference('demod', [status(thm)], [zip_derived_cl44, zip_derived_cl37])).
% 8.59/1.87 thf(zip_derived_cl660, plain, (((and @ d3 @ i1) = (d3))),
% 8.59/1.87 inference('demod', [status(thm)], [zip_derived_cl620, zip_derived_cl75])).
% 8.59/1.87 thf(zip_derived_cl7, plain,
% 8.59/1.87 (![X0 : $i, X1 : $i]: ((or @ X1 @ X0) = (or @ X0 @ X1))),
% 8.59/1.87 inference('cnf', [status(esa)], [or_commutativity])).
% 8.59/1.87 thf(constructor6, conjecture, (( c1 ) != ( or @ d1 @ d3 ))).
% 8.59/1.87 thf(zf_stmt_8, negated_conjecture, (( c1 ) = ( or @ d1 @ d3 )),
% 8.59/1.87 inference('cnf.neg', [status(esa)], [constructor6])).
% 8.59/1.87 thf(zip_derived_cl35, plain, (((c1) = (or @ d1 @ d3))),
% 8.59/1.87 inference('cnf', [status(esa)], [zf_stmt_8])).
% 8.59/1.87 thf(zip_derived_cl2287, plain, (((c1) = (i1))),
% 8.59/1.87 inference('demod', [status(thm)],
% 8.59/1.87 [zip_derived_cl2177, zip_derived_cl6, zip_derived_cl660,
% 8.59/1.87 zip_derived_cl7, zip_derived_cl35])).
% 8.59/1.87 thf(zip_derived_cl2361, plain, (((output @ a1 @ a2) != (output @ i2 @ c1))),
% 8.59/1.87 inference('demod', [status(thm)], [zip_derived_cl76, zip_derived_cl2287])).
% 8.59/1.87 thf(constructor12, conjecture, (( e2 ) != ( or @ f2 @ f3 ))).
% 8.59/1.87 thf(zf_stmt_9, negated_conjecture, (( e2 ) = ( or @ f2 @ f3 )),
% 8.59/1.87 inference('cnf.neg', [status(esa)], [constructor12])).
% 8.59/1.87 thf(zip_derived_cl41, plain, (((e2) = (or @ f2 @ f3))),
% 8.59/1.87 inference('cnf', [status(esa)], [zf_stmt_9])).
% 8.59/1.87 thf(constructor10, conjecture, (( d2 ) != ( not @ e2 ))).
% 8.59/1.87 thf(zf_stmt_10, negated_conjecture, (( d2 ) = ( not @ e2 )),
% 8.59/1.87 inference('cnf.neg', [status(esa)], [constructor10])).
% 8.59/1.87 thf(zip_derived_cl39, plain, (((d2) = (not @ e2))),
% 8.59/1.87 inference('cnf', [status(esa)], [zf_stmt_10])).
% 8.59/1.87 thf(zip_derived_cl27, plain, (![X0 : $i]: ((not @ (not @ X0)) = (X0))),
% 8.59/1.87 inference('cnf', [status(esa)], [not_simplification])).
% 8.59/1.87 thf(zip_derived_cl62, plain, (((not @ d2) = (e2))),
% 8.59/1.87 inference('sup+', [status(thm)], [zip_derived_cl39, zip_derived_cl27])).
% 8.59/1.87 thf(constructor4, conjecture, (( b2 ) != ( not @ d2 ))).
% 8.59/1.87 thf(zf_stmt_11, negated_conjecture, (( b2 ) = ( not @ d2 )),
% 8.59/1.87 inference('cnf.neg', [status(esa)], [constructor4])).
% 8.59/1.87 thf(zip_derived_cl33, plain, (((b2) = (not @ d2))),
% 8.59/1.87 inference('cnf', [status(esa)], [zf_stmt_11])).
% 8.59/1.87 thf(zip_derived_cl66, plain, (((b2) = (e2))),
% 8.59/1.87 inference('demod', [status(thm)], [zip_derived_cl62, zip_derived_cl33])).
% 8.59/1.87 thf(zip_derived_cl37, plain, (((d3) = (f3))),
% 8.59/1.87 inference('cnf', [status(esa)], [zf_stmt_3])).
% 8.59/1.87 thf(zip_derived_cl74, plain, (((b2) = (or @ f2 @ d3))),
% 8.59/1.87 inference('demod', [status(thm)],
% 8.59/1.87 [zip_derived_cl41, zip_derived_cl66, zip_derived_cl37])).
% 8.59/1.87 thf(zip_derived_cl7, plain,
% 8.59/1.87 (![X0 : $i, X1 : $i]: ((or @ X1 @ X0) = (or @ X0 @ X1))),
% 8.59/1.87 inference('cnf', [status(esa)], [or_commutativity])).
% 8.59/1.87 thf(zip_derived_cl108, plain, (((b2) = (or @ d3 @ f2))),
% 8.59/1.87 inference('sup+', [status(thm)], [zip_derived_cl74, zip_derived_cl7])).
% 8.59/1.87 thf(zip_derived_cl13, plain,
% 8.59/1.87 (![X0 : $i, X1 : $i]:
% 8.59/1.87 ((not @ (or @ X0 @ X1)) = (and @ (not @ X0) @ (not @ X1)))),
% 8.59/1.87 inference('cnf', [status(esa)], [not_canonicalization2])).
% 8.59/1.87 thf(zip_derived_cl722, plain,
% 8.59/1.87 (((not @ b2) = (and @ (not @ d3) @ (not @ f2)))),
% 8.59/1.87 inference('sup+', [status(thm)], [zip_derived_cl108, zip_derived_cl13])).
% 8.59/1.87 thf(zip_derived_cl33, plain, (((b2) = (not @ d2))),
% 8.59/1.87 inference('cnf', [status(esa)], [zf_stmt_11])).
% 8.59/1.87 thf(zip_derived_cl27, plain, (![X0 : $i]: ((not @ (not @ X0)) = (X0))),
% 8.59/1.87 inference('cnf', [status(esa)], [not_simplification])).
% 8.59/1.87 thf(zip_derived_cl60, plain, (((not @ b2) = (d2))),
% 8.59/1.87 inference('sup+', [status(thm)], [zip_derived_cl33, zip_derived_cl27])).
% 8.59/1.87 thf(constructor14, conjecture, (( f2 ) != ( not @ i2 ))).
% 8.59/1.87 thf(zf_stmt_12, negated_conjecture, (( f2 ) = ( not @ i2 )),
% 8.59/1.87 inference('cnf.neg', [status(esa)], [constructor14])).
% 8.59/1.87 thf(zip_derived_cl43, plain, (((f2) = (not @ i2))),
% 8.59/1.87 inference('cnf', [status(esa)], [zf_stmt_12])).
% 8.59/1.87 thf(zip_derived_cl27, plain, (![X0 : $i]: ((not @ (not @ X0)) = (X0))),
% 8.59/1.87 inference('cnf', [status(esa)], [not_simplification])).
% 8.59/1.87 thf(zip_derived_cl64, plain, (((not @ f2) = (i2))),
% 8.59/1.87 inference('sup+', [status(thm)], [zip_derived_cl43, zip_derived_cl27])).
% 8.59/1.87 thf(zip_derived_cl6, plain,
% 8.59/1.87 (![X0 : $i, X1 : $i]: ((and @ X1 @ X0) = (and @ X0 @ X1))),
% 8.59/1.87 inference('cnf', [status(esa)], [and_commutativity])).
% 8.59/1.87 thf(zip_derived_cl743, plain, (((d2) = (and @ i2 @ (not @ d3)))),
% 8.59/1.87 inference('demod', [status(thm)],
% 8.59/1.87 [zip_derived_cl722, zip_derived_cl60, zip_derived_cl64,
% 8.59/1.87 zip_derived_cl6])).
% 8.59/1.87 thf(zip_derived_cl28, plain,
% 8.59/1.87 (![X0 : $i, X1 : $i]:
% 8.59/1.87 ((or @ (and @ X0 @ X1) @ (and @ X0 @ (not @ X1))) = (X0))),
% 8.59/1.87 inference('cnf', [status(esa)], [and_or_not_simplification1])).
% 8.59/1.87 thf(zip_derived_cl2178, plain, (((or @ (and @ i2 @ d3) @ d2) = (i2))),
% 8.59/1.87 inference('sup+', [status(thm)], [zip_derived_cl743, zip_derived_cl28])).
% 8.59/1.87 thf(zip_derived_cl6, plain,
% 8.59/1.87 (![X0 : $i, X1 : $i]: ((and @ X1 @ X0) = (and @ X0 @ X1))),
% 8.59/1.87 inference('cnf', [status(esa)], [and_commutativity])).
% 8.59/1.87 thf(zip_derived_cl75, plain, (((d3) = (and @ i1 @ i2))),
% 8.59/1.87 inference('demod', [status(thm)], [zip_derived_cl44, zip_derived_cl37])).
% 8.59/1.87 thf(and_simplification2, axiom,
% 8.59/1.87 (( and @ ( and @ X @ Y ) @ Y ) = ( and @ X @ Y ))).
% 8.59/1.87 thf(zip_derived_cl16, plain,
% 8.59/1.87 (![X0 : $i, X1 : $i]: ((and @ (and @ X0 @ X1) @ X1) = (and @ X0 @ X1))),
% 8.59/1.87 inference('cnf', [status(esa)], [and_simplification2])).
% 8.59/1.87 thf(zip_derived_cl302, plain, (((and @ d3 @ i2) = (and @ i1 @ i2))),
% 8.59/1.87 inference('sup+', [status(thm)], [zip_derived_cl75, zip_derived_cl16])).
% 8.59/1.87 thf(zip_derived_cl75, plain, (((d3) = (and @ i1 @ i2))),
% 8.59/1.87 inference('demod', [status(thm)], [zip_derived_cl44, zip_derived_cl37])).
% 8.59/1.87 thf(zip_derived_cl320, plain, (((and @ d3 @ i2) = (d3))),
% 8.59/1.87 inference('demod', [status(thm)], [zip_derived_cl302, zip_derived_cl75])).
% 8.59/1.87 thf(zip_derived_cl7, plain,
% 8.59/1.87 (![X0 : $i, X1 : $i]: ((or @ X1 @ X0) = (or @ X0 @ X1))),
% 8.59/1.87 inference('cnf', [status(esa)], [or_commutativity])).
% 8.59/1.87 thf(constructor7, conjecture, (( c2 ) != ( or @ d2 @ d3 ))).
% 8.59/1.87 thf(zf_stmt_13, negated_conjecture, (( c2 ) = ( or @ d2 @ d3 )),
% 8.59/1.87 inference('cnf.neg', [status(esa)], [constructor7])).
% 8.59/1.87 thf(zip_derived_cl36, plain, (((c2) = (or @ d2 @ d3))),
% 8.59/1.87 inference('cnf', [status(esa)], [zf_stmt_13])).
% 8.59/1.87 thf(zip_derived_cl2288, plain, (((c2) = (i2))),
% 8.59/1.87 inference('demod', [status(thm)],
% 8.59/1.87 [zip_derived_cl2178, zip_derived_cl6, zip_derived_cl320,
% 8.59/1.87 zip_derived_cl7, zip_derived_cl36])).
% 8.59/1.87 thf(zip_derived_cl2382, plain, (((output @ a1 @ a2) != (output @ c2 @ c1))),
% 8.59/1.87 inference('demod', [status(thm)],
% 8.59/1.87 [zip_derived_cl2361, zip_derived_cl2288])).
% 8.59/1.87 thf(constructor5, conjecture, (( b3 ) != ( or @ c1 @ c2 ))).
% 8.59/1.87 thf(zf_stmt_14, negated_conjecture, (( b3 ) = ( or @ c1 @ c2 )),
% 8.59/1.87 inference('cnf.neg', [status(esa)], [constructor5])).
% 8.59/1.87 thf(zip_derived_cl34, plain, (((b3) = (or @ c1 @ c2))),
% 8.59/1.87 inference('cnf', [status(esa)], [zf_stmt_14])).
% 8.59/1.87 thf(zip_derived_cl13, plain,
% 8.59/1.87 (![X0 : $i, X1 : $i]:
% 8.59/1.87 ((not @ (or @ X0 @ X1)) = (and @ (not @ X0) @ (not @ X1)))),
% 8.59/1.87 inference('cnf', [status(esa)], [not_canonicalization2])).
% 8.59/1.87 thf(zip_derived_cl720, plain,
% 8.59/1.87 (((not @ b3) = (and @ (not @ c1) @ (not @ c2)))),
% 8.59/1.87 inference('sup+', [status(thm)], [zip_derived_cl34, zip_derived_cl13])).
% 8.59/1.87 thf(zip_derived_cl42, plain, (((f1) = (not @ i1))),
% 8.59/1.87 inference('cnf', [status(esa)], [zf_stmt_6])).
% 8.59/1.87 thf(zip_derived_cl2287, plain, (((c1) = (i1))),
% 8.59/1.87 inference('demod', [status(thm)],
% 8.59/1.87 [zip_derived_cl2177, zip_derived_cl6, zip_derived_cl660,
% 8.59/1.87 zip_derived_cl7, zip_derived_cl35])).
% 8.59/1.87 thf(zip_derived_cl2358, plain, (((f1) = (not @ c1))),
% 8.59/1.87 inference('demod', [status(thm)], [zip_derived_cl42, zip_derived_cl2287])).
% 8.59/1.87 thf(zip_derived_cl2383, plain, (((not @ b3) = (and @ f1 @ (not @ c2)))),
% 8.59/1.87 inference('demod', [status(thm)], [zip_derived_cl720, zip_derived_cl2358])).
% 8.59/1.87 thf(zip_derived_cl43, plain, (((f2) = (not @ i2))),
% 8.59/1.87 inference('cnf', [status(esa)], [zf_stmt_12])).
% 8.59/1.87 thf(zip_derived_cl2288, plain, (((c2) = (i2))),
% 8.59/1.87 inference('demod', [status(thm)],
% 8.59/1.87 [zip_derived_cl2178, zip_derived_cl6, zip_derived_cl320,
% 8.59/1.87 zip_derived_cl7, zip_derived_cl36])).
% 8.59/1.87 thf(zip_derived_cl2371, plain, (((f2) = (not @ c2))),
% 8.59/1.87 inference('demod', [status(thm)], [zip_derived_cl43, zip_derived_cl2288])).
% 8.59/1.87 thf(zip_derived_cl3276, plain, (((not @ b3) = (and @ f1 @ f2))),
% 8.59/1.87 inference('demod', [status(thm)],
% 8.59/1.87 [zip_derived_cl2383, zip_derived_cl2371])).
% 8.59/1.87 thf(zip_derived_cl28, plain,
% 8.59/1.87 (![X0 : $i, X1 : $i]:
% 8.59/1.87 ((or @ (and @ X0 @ X1) @ (and @ X0 @ (not @ X1))) = (X0))),
% 8.59/1.87 inference('cnf', [status(esa)], [and_or_not_simplification1])).
% 8.59/1.87 thf(zip_derived_cl3284, plain,
% 8.59/1.87 (((or @ (not @ b3) @ (and @ f1 @ (not @ f2))) = (f1))),
% 8.59/1.87 inference('sup+', [status(thm)], [zip_derived_cl3276, zip_derived_cl28])).
% 8.59/1.87 thf(zip_derived_cl64, plain, (((not @ f2) = (i2))),
% 8.59/1.87 inference('sup+', [status(thm)], [zip_derived_cl43, zip_derived_cl27])).
% 8.59/1.87 thf(zip_derived_cl2288, plain, (((c2) = (i2))),
% 8.59/1.87 inference('demod', [status(thm)],
% 8.59/1.87 [zip_derived_cl2178, zip_derived_cl6, zip_derived_cl320,
% 8.59/1.87 zip_derived_cl7, zip_derived_cl36])).
% 8.59/1.87 thf(zip_derived_cl2372, plain, (((not @ f2) = (c2))),
% 8.59/1.87 inference('demod', [status(thm)], [zip_derived_cl64, zip_derived_cl2288])).
% 8.59/1.87 thf(zip_derived_cl6, plain,
% 8.59/1.87 (![X0 : $i, X1 : $i]: ((and @ X1 @ X0) = (and @ X0 @ X1))),
% 8.59/1.87 inference('cnf', [status(esa)], [and_commutativity])).
% 8.59/1.87 thf(zip_derived_cl3294, plain,
% 8.59/1.87 (((or @ (not @ b3) @ (and @ c2 @ f1)) = (f1))),
% 8.59/1.87 inference('demod', [status(thm)],
% 8.59/1.87 [zip_derived_cl3284, zip_derived_cl2372, zip_derived_cl6])).
% 8.59/1.87 thf(zip_derived_cl108, plain, (((b2) = (or @ d3 @ f2))),
% 8.59/1.87 inference('sup+', [status(thm)], [zip_derived_cl74, zip_derived_cl7])).
% 8.59/1.87 thf(zip_derived_cl35, plain, (((c1) = (or @ d1 @ d3))),
% 8.59/1.87 inference('cnf', [status(esa)], [zf_stmt_8])).
% 8.59/1.87 thf(or_associativity, axiom,
% 8.59/1.87 (( or @ X @ ( or @ Y @ Z ) ) = ( or @ ( or @ X @ Y ) @ Z ))).
% 8.59/1.87 thf(zip_derived_cl9, plain,
% 8.59/1.87 (![X0 : $i, X1 : $i, X2 : $i]:
% 8.59/1.87 ((or @ X0 @ (or @ X1 @ X2)) = (or @ (or @ X0 @ X1) @ X2))),
% 8.59/1.87 inference('cnf', [status(esa)], [or_associativity])).
% 8.59/1.87 thf(zip_derived_cl176, plain,
% 8.59/1.87 (![X0 : $i]: ((or @ d1 @ (or @ d3 @ X0)) = (or @ c1 @ X0))),
% 8.59/1.87 inference('sup+', [status(thm)], [zip_derived_cl35, zip_derived_cl9])).
% 8.59/1.87 thf(zip_derived_cl9430, plain, (((or @ d1 @ b2) = (or @ c1 @ f2))),
% 8.59/1.87 inference('sup+', [status(thm)], [zip_derived_cl108, zip_derived_cl176])).
% 8.59/1.87 thf(zip_derived_cl7, plain,
% 8.59/1.87 (![X0 : $i, X1 : $i]: ((or @ X1 @ X0) = (or @ X0 @ X1))),
% 8.59/1.87 inference('cnf', [status(esa)], [or_commutativity])).
% 8.59/1.87 thf(zip_derived_cl9444, plain, (((or @ b2 @ d1) = (or @ c1 @ f2))),
% 8.59/1.87 inference('demod', [status(thm)], [zip_derived_cl9430, zip_derived_cl7])).
% 8.59/1.87 thf(zip_derived_cl9444, plain, (((or @ b2 @ d1) = (or @ c1 @ f2))),
% 8.59/1.87 inference('demod', [status(thm)], [zip_derived_cl9430, zip_derived_cl7])).
% 8.59/1.87 thf(or_simplification3, axiom,
% 8.59/1.87 (( or @ ( or @ X @ Y ) @ X ) = ( or @ X @ Y ))).
% 8.59/1.87 thf(zip_derived_cl20, plain,
% 8.59/1.87 (![X0 : $i, X1 : $i]: ((or @ (or @ X0 @ X1) @ X0) = (or @ X0 @ X1))),
% 8.59/1.87 inference('cnf', [status(esa)], [or_simplification3])).
% 8.59/1.87 thf(zip_derived_cl9462, plain,
% 8.59/1.87 (((or @ (or @ b2 @ d1) @ c1) = (or @ c1 @ f2))),
% 8.59/1.87 inference('sup+', [status(thm)], [zip_derived_cl9444, zip_derived_cl20])).
% 8.59/1.87 thf(zip_derived_cl9, plain,
% 8.59/1.87 (![X0 : $i, X1 : $i, X2 : $i]:
% 8.59/1.87 ((or @ X0 @ (or @ X1 @ X2)) = (or @ (or @ X0 @ X1) @ X2))),
% 8.59/1.87 inference('cnf', [status(esa)], [or_associativity])).
% 8.59/1.87 thf(zip_derived_cl35, plain, (((c1) = (or @ d1 @ d3))),
% 8.59/1.87 inference('cnf', [status(esa)], [zf_stmt_8])).
% 8.59/1.87 thf(zip_derived_cl20, plain,
% 8.59/1.87 (![X0 : $i, X1 : $i]: ((or @ (or @ X0 @ X1) @ X0) = (or @ X0 @ X1))),
% 8.59/1.87 inference('cnf', [status(esa)], [or_simplification3])).
% 8.59/1.87 thf(zip_derived_cl1248, plain, (((or @ c1 @ d1) = (or @ d1 @ d3))),
% 8.59/1.87 inference('sup+', [status(thm)], [zip_derived_cl35, zip_derived_cl20])).
% 8.59/1.87 thf(zip_derived_cl7, plain,
% 8.59/1.87 (![X0 : $i, X1 : $i]: ((or @ X1 @ X0) = (or @ X0 @ X1))),
% 8.59/1.87 inference('cnf', [status(esa)], [or_commutativity])).
% 8.59/1.87 thf(zip_derived_cl35, plain, (((c1) = (or @ d1 @ d3))),
% 8.59/1.87 inference('cnf', [status(esa)], [zf_stmt_8])).
% 8.59/1.87 thf(zip_derived_cl1284, plain, (((or @ d1 @ c1) = (c1))),
% 8.59/1.87 inference('demod', [status(thm)],
% 8.59/1.87 [zip_derived_cl1248, zip_derived_cl7, zip_derived_cl35])).
% 8.59/1.87 thf(zip_derived_cl75, plain, (((d3) = (and @ i1 @ i2))),
% 8.59/1.87 inference('demod', [status(thm)], [zip_derived_cl44, zip_derived_cl37])).
% 8.59/1.87 thf(zip_derived_cl2287, plain, (((c1) = (i1))),
% 8.59/1.87 inference('demod', [status(thm)],
% 8.59/1.87 [zip_derived_cl2177, zip_derived_cl6, zip_derived_cl660,
% 8.59/1.87 zip_derived_cl7, zip_derived_cl35])).
% 8.59/1.87 thf(zip_derived_cl2360, plain, (((d3) = (and @ c1 @ i2))),
% 8.59/1.87 inference('demod', [status(thm)], [zip_derived_cl75, zip_derived_cl2287])).
% 8.59/1.87 thf(zip_derived_cl2288, plain, (((c2) = (i2))),
% 8.59/1.87 inference('demod', [status(thm)],
% 8.59/1.87 [zip_derived_cl2178, zip_derived_cl6, zip_derived_cl320,
% 8.59/1.87 zip_derived_cl7, zip_derived_cl36])).
% 8.59/1.87 thf(zip_derived_cl2588, plain, (((d3) = (and @ c1 @ c2))),
% 8.59/1.87 inference('demod', [status(thm)],
% 8.59/1.87 [zip_derived_cl2360, zip_derived_cl2288])).
% 8.59/1.87 thf(and_not_simplification1, axiom, (( and @ X @ ( not @ X ) ) = ( n0 ))).
% 8.59/1.87 thf(zip_derived_cl21, plain, (![X0 : $i]: ((and @ X0 @ (not @ X0)) = (n0))),
% 8.59/1.87 inference('cnf', [status(esa)], [and_not_simplification1])).
% 8.59/1.87 thf(and_associativity, axiom,
% 8.59/1.87 (( and @ X @ ( and @ Y @ Z ) ) = ( and @ ( and @ X @ Y ) @ Z ))).
% 8.59/1.87 thf(zip_derived_cl8, plain,
% 8.59/1.87 (![X0 : $i, X1 : $i, X2 : $i]:
% 8.59/1.87 ((and @ X0 @ (and @ X1 @ X2)) = (and @ (and @ X0 @ X1) @ X2))),
% 8.59/1.87 inference('cnf', [status(esa)], [and_associativity])).
% 8.59/1.87 thf(zip_derived_cl120, plain,
% 8.59/1.87 (![X0 : $i, X1 : $i]:
% 8.59/1.87 ((and @ X1 @ (and @ X0 @ (not @ (and @ X1 @ X0)))) = (n0))),
% 8.59/1.87 inference('sup+', [status(thm)], [zip_derived_cl21, zip_derived_cl8])).
% 8.59/1.87 thf(zip_derived_cl4457, plain,
% 8.59/1.87 (((and @ c1 @ (and @ c2 @ (not @ d3))) = (n0))),
% 8.59/1.87 inference('sup+', [status(thm)], [zip_derived_cl2588, zip_derived_cl120])).
% 8.59/1.87 thf(zip_derived_cl743, plain, (((d2) = (and @ i2 @ (not @ d3)))),
% 8.59/1.87 inference('demod', [status(thm)],
% 8.59/1.87 [zip_derived_cl722, zip_derived_cl60, zip_derived_cl64,
% 8.59/1.87 zip_derived_cl6])).
% 8.59/1.87 thf(zip_derived_cl2288, plain, (((c2) = (i2))),
% 8.59/1.87 inference('demod', [status(thm)],
% 8.59/1.87 [zip_derived_cl2178, zip_derived_cl6, zip_derived_cl320,
% 8.59/1.87 zip_derived_cl7, zip_derived_cl36])).
% 8.59/1.87 thf(zip_derived_cl2379, plain, (((d2) = (and @ c2 @ (not @ d3)))),
% 8.59/1.87 inference('demod', [status(thm)], [zip_derived_cl743, zip_derived_cl2288])).
% 8.59/1.87 thf(zip_derived_cl6, plain,
% 8.59/1.87 (![X0 : $i, X1 : $i]: ((and @ X1 @ X0) = (and @ X0 @ X1))),
% 8.59/1.87 inference('cnf', [status(esa)], [and_commutativity])).
% 8.59/1.87 thf(zip_derived_cl4526, plain, (((and @ d2 @ c1) = (n0))),
% 8.59/1.87 inference('demod', [status(thm)],
% 8.59/1.87 [zip_derived_cl4457, zip_derived_cl2379, zip_derived_cl6])).
% 8.59/1.87 thf(and_or_not_simplification2, axiom,
% 8.59/1.87 (( or @ ( and @ X @ Y ) @ ( and @ Y @ ( not @ X ) ) ) = ( Y ))).
% 8.59/1.87 thf(zip_derived_cl29, plain,
% 8.59/1.87 (![X0 : $i, X1 : $i]:
% 8.59/1.87 ((or @ (and @ X1 @ X0) @ (and @ X0 @ (not @ X1))) = (X0))),
% 8.59/1.87 inference('cnf', [status(esa)], [and_or_not_simplification2])).
% 8.59/1.87 thf(zip_derived_cl4877, plain,
% 8.59/1.87 (((or @ n0 @ (and @ c1 @ (not @ d2))) = (c1))),
% 8.59/1.87 inference('sup+', [status(thm)], [zip_derived_cl4526, zip_derived_cl29])).
% 8.59/1.87 thf(zip_derived_cl33, plain, (((b2) = (not @ d2))),
% 8.59/1.87 inference('cnf', [status(esa)], [zf_stmt_11])).
% 8.59/1.87 thf(zip_derived_cl6, plain,
% 8.59/1.87 (![X0 : $i, X1 : $i]: ((and @ X1 @ X0) = (and @ X0 @ X1))),
% 8.59/1.87 inference('cnf', [status(esa)], [and_commutativity])).
% 8.59/1.87 thf(zip_derived_cl7, plain,
% 8.59/1.87 (![X0 : $i, X1 : $i]: ((or @ X1 @ X0) = (or @ X0 @ X1))),
% 8.59/1.87 inference('cnf', [status(esa)], [or_commutativity])).
% 8.59/1.87 thf(or_definition1, axiom, (( or @ X @ n0 ) = ( X ))).
% 8.59/1.87 thf(zip_derived_cl2, plain, (![X0 : $i]: ((or @ X0 @ n0) = (X0))),
% 8.59/1.87 inference('cnf', [status(esa)], [or_definition1])).
% 8.59/1.87 thf(zip_derived_cl102, plain, (![X0 : $i]: ((or @ n0 @ X0) = (X0))),
% 8.59/1.87 inference('sup+', [status(thm)], [zip_derived_cl7, zip_derived_cl2])).
% 8.59/1.87 thf(zip_derived_cl4893, plain, (((and @ b2 @ c1) = (c1))),
% 8.59/1.87 inference('demod', [status(thm)],
% 8.59/1.87 [zip_derived_cl4877, zip_derived_cl33, zip_derived_cl6,
% 8.59/1.87 zip_derived_cl102])).
% 8.59/1.87 thf(zip_derived_cl28, plain,
% 8.59/1.87 (![X0 : $i, X1 : $i]:
% 8.59/1.87 ((or @ (and @ X0 @ X1) @ (and @ X0 @ (not @ X1))) = (X0))),
% 8.59/1.87 inference('cnf', [status(esa)], [and_or_not_simplification1])).
% 8.59/1.87 thf(zip_derived_cl4934, plain,
% 8.59/1.87 (((or @ c1 @ (and @ b2 @ (not @ c1))) = (b2))),
% 8.59/1.87 inference('sup+', [status(thm)], [zip_derived_cl4893, zip_derived_cl28])).
% 8.59/1.87 thf(zip_derived_cl2358, plain, (((f1) = (not @ c1))),
% 8.59/1.87 inference('demod', [status(thm)], [zip_derived_cl42, zip_derived_cl2287])).
% 8.59/1.87 thf(zip_derived_cl4948, plain, (((or @ c1 @ (and @ b2 @ f1)) = (b2))),
% 8.59/1.87 inference('demod', [status(thm)],
% 8.59/1.87 [zip_derived_cl4934, zip_derived_cl2358])).
% 8.59/1.87 thf(zip_derived_cl20, plain,
% 8.59/1.87 (![X0 : $i, X1 : $i]: ((or @ (or @ X0 @ X1) @ X0) = (or @ X0 @ X1))),
% 8.59/1.87 inference('cnf', [status(esa)], [or_simplification3])).
% 8.59/1.87 thf(zip_derived_cl5261, plain,
% 8.59/1.87 (((or @ b2 @ c1) = (or @ c1 @ (and @ b2 @ f1)))),
% 8.59/1.87 inference('sup+', [status(thm)], [zip_derived_cl4948, zip_derived_cl20])).
% 8.59/1.87 thf(zip_derived_cl4948, plain, (((or @ c1 @ (and @ b2 @ f1)) = (b2))),
% 8.59/1.87 inference('demod', [status(thm)],
% 8.59/1.87 [zip_derived_cl4934, zip_derived_cl2358])).
% 8.59/1.87 thf(zip_derived_cl5267, plain, (((or @ b2 @ c1) = (b2))),
% 8.59/1.87 inference('demod', [status(thm)],
% 8.59/1.87 [zip_derived_cl5261, zip_derived_cl4948])).
% 8.59/1.87 thf(zip_derived_cl9444, plain, (((or @ b2 @ d1) = (or @ c1 @ f2))),
% 8.59/1.87 inference('demod', [status(thm)], [zip_derived_cl9430, zip_derived_cl7])).
% 8.59/1.87 thf(zip_derived_cl9475, plain, (((b2) = (or @ b2 @ d1))),
% 8.59/1.87 inference('demod', [status(thm)],
% 8.59/1.87 [zip_derived_cl9462, zip_derived_cl9, zip_derived_cl1284,
% 8.59/1.87 zip_derived_cl5267, zip_derived_cl9444])).
% 8.59/1.87 thf(zip_derived_cl9482, plain, (((b2) = (or @ c1 @ f2))),
% 8.59/1.87 inference('demod', [status(thm)],
% 8.59/1.87 [zip_derived_cl9444, zip_derived_cl9475])).
% 8.59/1.87 thf(zip_derived_cl13, plain,
% 8.59/1.87 (![X0 : $i, X1 : $i]:
% 8.59/1.87 ((not @ (or @ X0 @ X1)) = (and @ (not @ X0) @ (not @ X1)))),
% 8.59/1.87 inference('cnf', [status(esa)], [not_canonicalization2])).
% 8.59/1.87 thf(zip_derived_cl9505, plain,
% 8.59/1.87 (((not @ b2) = (and @ (not @ c1) @ (not @ f2)))),
% 8.59/1.87 inference('sup+', [status(thm)], [zip_derived_cl9482, zip_derived_cl13])).
% 8.59/1.87 thf(zip_derived_cl60, plain, (((not @ b2) = (d2))),
% 8.59/1.87 inference('sup+', [status(thm)], [zip_derived_cl33, zip_derived_cl27])).
% 8.59/1.87 thf(zip_derived_cl2358, plain, (((f1) = (not @ c1))),
% 8.59/1.87 inference('demod', [status(thm)], [zip_derived_cl42, zip_derived_cl2287])).
% 8.59/1.87 thf(zip_derived_cl2372, plain, (((not @ f2) = (c2))),
% 8.59/1.87 inference('demod', [status(thm)], [zip_derived_cl64, zip_derived_cl2288])).
% 8.59/1.87 thf(zip_derived_cl6, plain,
% 8.59/1.87 (![X0 : $i, X1 : $i]: ((and @ X1 @ X0) = (and @ X0 @ X1))),
% 8.59/1.87 inference('cnf', [status(esa)], [and_commutativity])).
% 8.59/1.87 thf(zip_derived_cl9516, plain, (((d2) = (and @ c2 @ f1))),
% 8.59/1.87 inference('demod', [status(thm)],
% 8.59/1.87 [zip_derived_cl9505, zip_derived_cl60, zip_derived_cl2358,
% 8.59/1.87 zip_derived_cl2372, zip_derived_cl6])).
% 8.59/1.87 thf(zip_derived_cl7, plain,
% 8.59/1.87 (![X0 : $i, X1 : $i]: ((or @ X1 @ X0) = (or @ X0 @ X1))),
% 8.59/1.87 inference('cnf', [status(esa)], [or_commutativity])).
% 8.59/1.87 thf(zip_derived_cl9612, plain, (((or @ d2 @ (not @ b3)) = (f1))),
% 8.59/1.87 inference('demod', [status(thm)],
% 8.59/1.87 [zip_derived_cl3294, zip_derived_cl9516, zip_derived_cl7])).
% 8.59/1.87 thf(zip_derived_cl13, plain,
% 8.59/1.87 (![X0 : $i, X1 : $i]:
% 8.59/1.87 ((not @ (or @ X0 @ X1)) = (and @ (not @ X0) @ (not @ X1)))),
% 8.59/1.87 inference('cnf', [status(esa)], [not_canonicalization2])).
% 8.59/1.87 thf(zip_derived_cl9780, plain,
% 8.59/1.87 (((not @ f1) = (and @ (not @ d2) @ (not @ (not @ b3))))),
% 8.59/1.87 inference('sup+', [status(thm)], [zip_derived_cl9612, zip_derived_cl13])).
% 8.59/1.87 thf(zip_derived_cl63, plain, (((not @ f1) = (i1))),
% 8.59/1.87 inference('sup+', [status(thm)], [zip_derived_cl42, zip_derived_cl27])).
% 8.59/1.87 thf(zip_derived_cl2287, plain, (((c1) = (i1))),
% 8.59/1.87 inference('demod', [status(thm)],
% 8.59/1.87 [zip_derived_cl2177, zip_derived_cl6, zip_derived_cl660,
% 8.59/1.87 zip_derived_cl7, zip_derived_cl35])).
% 8.59/1.87 thf(zip_derived_cl2359, plain, (((not @ f1) = (c1))),
% 8.59/1.87 inference('demod', [status(thm)], [zip_derived_cl63, zip_derived_cl2287])).
% 8.59/1.87 thf(zip_derived_cl33, plain, (((b2) = (not @ d2))),
% 8.59/1.87 inference('cnf', [status(esa)], [zf_stmt_11])).
% 8.59/1.87 thf(zip_derived_cl27, plain, (![X0 : $i]: ((not @ (not @ X0)) = (X0))),
% 8.59/1.87 inference('cnf', [status(esa)], [not_simplification])).
% 8.59/1.87 thf(constructor2, conjecture, (( a2 ) != ( and @ b2 @ b3 ))).
% 8.59/1.87 thf(zf_stmt_15, negated_conjecture, (( a2 ) = ( and @ b2 @ b3 )),
% 8.59/1.87 inference('cnf.neg', [status(esa)], [constructor2])).
% 8.59/1.87 thf(zip_derived_cl31, plain, (((a2) = (and @ b2 @ b3))),
% 8.59/1.87 inference('cnf', [status(esa)], [zf_stmt_15])).
% 8.59/1.87 thf(zip_derived_cl9792, plain, (((c1) = (a2))),
% 8.59/1.87 inference('demod', [status(thm)],
% 8.59/1.87 [zip_derived_cl9780, zip_derived_cl2359, zip_derived_cl33,
% 8.59/1.87 zip_derived_cl27, zip_derived_cl31])).
% 8.59/1.87 thf(zip_derived_cl9878, plain, (((output @ a1 @ a2) != (output @ c2 @ a2))),
% 8.59/1.87 inference('demod', [status(thm)],
% 8.59/1.87 [zip_derived_cl2382, zip_derived_cl9792])).
% 8.59/1.87 thf(zip_derived_cl3294, plain,
% 8.59/1.87 (((or @ (not @ b3) @ (and @ c2 @ f1)) = (f1))),
% 8.59/1.87 inference('demod', [status(thm)],
% 8.59/1.87 [zip_derived_cl3284, zip_derived_cl2372, zip_derived_cl6])).
% 8.59/1.87 thf(zip_derived_cl20, plain,
% 8.59/1.87 (![X0 : $i, X1 : $i]: ((or @ (or @ X0 @ X1) @ X0) = (or @ X0 @ X1))),
% 8.59/1.87 inference('cnf', [status(esa)], [or_simplification3])).
% 8.59/1.87 thf(zip_derived_cl7360, plain,
% 8.59/1.87 (((or @ f1 @ (not @ b3)) = (or @ (not @ b3) @ (and @ c2 @ f1)))),
% 8.59/1.87 inference('sup+', [status(thm)], [zip_derived_cl3294, zip_derived_cl20])).
% 8.59/1.87 thf(zip_derived_cl3294, plain,
% 8.59/1.87 (((or @ (not @ b3) @ (and @ c2 @ f1)) = (f1))),
% 8.59/1.87 inference('demod', [status(thm)],
% 8.59/1.87 [zip_derived_cl3284, zip_derived_cl2372, zip_derived_cl6])).
% 8.59/1.87 thf(zip_derived_cl7368, plain, (((or @ f1 @ (not @ b3)) = (f1))),
% 8.59/1.87 inference('demod', [status(thm)],
% 8.59/1.87 [zip_derived_cl7360, zip_derived_cl3294])).
% 8.59/1.87 thf(zip_derived_cl13, plain,
% 8.59/1.87 (![X0 : $i, X1 : $i]:
% 8.59/1.87 ((not @ (or @ X0 @ X1)) = (and @ (not @ X0) @ (not @ X1)))),
% 8.59/1.87 inference('cnf', [status(esa)], [not_canonicalization2])).
% 8.59/1.87 thf(zip_derived_cl7372, plain,
% 8.59/1.87 (((not @ f1) = (and @ (not @ f1) @ (not @ (not @ b3))))),
% 8.59/1.87 inference('sup+', [status(thm)], [zip_derived_cl7368, zip_derived_cl13])).
% 8.59/1.87 thf(zip_derived_cl2359, plain, (((not @ f1) = (c1))),
% 8.59/1.87 inference('demod', [status(thm)], [zip_derived_cl63, zip_derived_cl2287])).
% 8.59/1.87 thf(zip_derived_cl2359, plain, (((not @ f1) = (c1))),
% 8.59/1.87 inference('demod', [status(thm)], [zip_derived_cl63, zip_derived_cl2287])).
% 8.59/1.87 thf(zip_derived_cl27, plain, (![X0 : $i]: ((not @ (not @ X0)) = (X0))),
% 8.59/1.87 inference('cnf', [status(esa)], [not_simplification])).
% 8.59/1.87 thf(zip_derived_cl6, plain,
% 8.59/1.87 (![X0 : $i, X1 : $i]: ((and @ X1 @ X0) = (and @ X0 @ X1))),
% 8.59/1.87 inference('cnf', [status(esa)], [and_commutativity])).
% 8.59/1.87 thf(zip_derived_cl7380, plain, (((c1) = (and @ b3 @ c1))),
% 8.59/1.87 inference('demod', [status(thm)],
% 8.59/1.87 [zip_derived_cl7372, zip_derived_cl2359, zip_derived_cl2359,
% 8.59/1.87 zip_derived_cl27, zip_derived_cl6])).
% 8.59/1.87 thf(constructor1, conjecture, (( a1 ) != ( and @ b1 @ b3 ))).
% 8.59/1.87 thf(zf_stmt_16, negated_conjecture, (( a1 ) = ( and @ b1 @ b3 )),
% 8.59/1.87 inference('cnf.neg', [status(esa)], [constructor1])).
% 8.59/1.87 thf(zip_derived_cl30, plain, (((a1) = (and @ b1 @ b3))),
% 8.59/1.87 inference('cnf', [status(esa)], [zf_stmt_16])).
% 8.59/1.87 thf(zip_derived_cl8, plain,
% 8.59/1.87 (![X0 : $i, X1 : $i, X2 : $i]:
% 8.59/1.87 ((and @ X0 @ (and @ X1 @ X2)) = (and @ (and @ X0 @ X1) @ X2))),
% 8.59/1.87 inference('cnf', [status(esa)], [and_associativity])).
% 8.59/1.87 thf(zip_derived_cl128, plain,
% 8.59/1.87 (![X0 : $i]: ((and @ b1 @ (and @ b3 @ X0)) = (and @ a1 @ X0))),
% 8.59/1.87 inference('sup+', [status(thm)], [zip_derived_cl30, zip_derived_cl8])).
% 8.59/1.87 thf(zip_derived_cl7404, plain, (((and @ b1 @ c1) = (and @ a1 @ c1))),
% 8.59/1.87 inference('sup+', [status(thm)], [zip_derived_cl7380, zip_derived_cl128])).
% 8.59/1.87 thf(zip_derived_cl35, plain, (((c1) = (or @ d1 @ d3))),
% 8.59/1.87 inference('cnf', [status(esa)], [zf_stmt_8])).
% 8.59/1.87 thf(zip_derived_cl13, plain,
% 8.59/1.87 (![X0 : $i, X1 : $i]:
% 8.59/1.87 ((not @ (or @ X0 @ X1)) = (and @ (not @ X0) @ (not @ X1)))),
% 8.59/1.87 inference('cnf', [status(esa)], [not_canonicalization2])).
% 8.59/1.87 thf(zip_derived_cl717, plain,
% 8.59/1.87 (((not @ c1) = (and @ (not @ d1) @ (not @ d3)))),
% 8.59/1.87 inference('sup+', [status(thm)], [zip_derived_cl35, zip_derived_cl13])).
% 8.59/1.87 thf(zip_derived_cl32, plain, (((b1) = (not @ d1))),
% 8.59/1.87 inference('cnf', [status(esa)], [zf_stmt_5])).
% 8.59/1.87 thf(zip_derived_cl739, plain, (((not @ c1) = (and @ b1 @ (not @ d3)))),
% 8.59/1.87 inference('demod', [status(thm)], [zip_derived_cl717, zip_derived_cl32])).
% 8.59/1.87 thf(zip_derived_cl2358, plain, (((f1) = (not @ c1))),
% 8.59/1.87 inference('demod', [status(thm)], [zip_derived_cl42, zip_derived_cl2287])).
% 8.59/1.87 thf(zip_derived_cl2384, plain, (((f1) = (and @ b1 @ (not @ d3)))),
% 8.59/1.87 inference('demod', [status(thm)], [zip_derived_cl739, zip_derived_cl2358])).
% 8.59/1.87 thf(zip_derived_cl29, plain,
% 8.59/1.87 (![X0 : $i, X1 : $i]:
% 8.59/1.87 ((or @ (and @ X1 @ X0) @ (and @ X0 @ (not @ X1))) = (X0))),
% 8.59/1.87 inference('cnf', [status(esa)], [and_or_not_simplification2])).
% 8.59/1.87 thf(zip_derived_cl2970, plain,
% 8.59/1.87 (((or @ f1 @ (and @ (not @ d3) @ (not @ b1))) = (not @ d3))),
% 8.59/1.87 inference('sup+', [status(thm)], [zip_derived_cl2384, zip_derived_cl29])).
% 8.59/1.87 thf(zip_derived_cl59, plain, (((not @ b1) = (d1))),
% 8.59/1.87 inference('sup+', [status(thm)], [zip_derived_cl32, zip_derived_cl27])).
% 8.59/1.87 thf(zip_derived_cl6, plain,
% 8.59/1.87 (![X0 : $i, X1 : $i]: ((and @ X1 @ X0) = (and @ X0 @ X1))),
% 8.59/1.87 inference('cnf', [status(esa)], [and_commutativity])).
% 8.59/1.87 thf(zip_derived_cl742, plain, (((d1) = (and @ i1 @ (not @ d3)))),
% 8.59/1.87 inference('demod', [status(thm)],
% 8.59/1.87 [zip_derived_cl721, zip_derived_cl59, zip_derived_cl63,
% 8.59/1.87 zip_derived_cl6])).
% 8.59/1.87 thf(zip_derived_cl16, plain,
% 8.59/1.87 (![X0 : $i, X1 : $i]: ((and @ (and @ X0 @ X1) @ X1) = (and @ X0 @ X1))),
% 8.59/1.87 inference('cnf', [status(esa)], [and_simplification2])).
% 8.59/1.87 thf(zip_derived_cl752, plain,
% 8.59/1.87 (((and @ d1 @ (not @ d3)) = (and @ i1 @ (not @ d3)))),
% 8.59/1.87 inference('sup+', [status(thm)], [zip_derived_cl742, zip_derived_cl16])).
% 8.59/1.87 thf(zip_derived_cl742, plain, (((d1) = (and @ i1 @ (not @ d3)))),
% 8.59/1.87 inference('demod', [status(thm)],
% 8.59/1.87 [zip_derived_cl721, zip_derived_cl59, zip_derived_cl63,
% 8.59/1.87 zip_derived_cl6])).
% 8.59/1.87 thf(zip_derived_cl755, plain, (((and @ d1 @ (not @ d3)) = (d1))),
% 8.59/1.87 inference('demod', [status(thm)], [zip_derived_cl752, zip_derived_cl742])).
% 8.59/1.87 thf(zip_derived_cl7, plain,
% 8.59/1.87 (![X0 : $i, X1 : $i]: ((or @ X1 @ X0) = (or @ X0 @ X1))),
% 8.59/1.87 inference('cnf', [status(esa)], [or_commutativity])).
% 8.59/1.87 thf(zip_derived_cl2981, plain, (((or @ d1 @ f1) = (not @ d3))),
% 8.59/1.87 inference('demod', [status(thm)],
% 8.59/1.87 [zip_derived_cl2970, zip_derived_cl59, zip_derived_cl6,
% 8.59/1.87 zip_derived_cl755, zip_derived_cl7])).
% 8.59/1.87 thf(zip_derived_cl13, plain,
% 8.59/1.87 (![X0 : $i, X1 : $i]:
% 8.59/1.87 ((not @ (or @ X0 @ X1)) = (and @ (not @ X0) @ (not @ X1)))),
% 8.59/1.87 inference('cnf', [status(esa)], [not_canonicalization2])).
% 8.59/1.87 thf(zip_derived_cl2986, plain,
% 8.59/1.87 (((not @ (not @ d3)) = (and @ (not @ d1) @ (not @ f1)))),
% 8.59/1.87 inference('sup+', [status(thm)], [zip_derived_cl2981, zip_derived_cl13])).
% 8.59/1.87 thf(zip_derived_cl27, plain, (![X0 : $i]: ((not @ (not @ X0)) = (X0))),
% 8.59/1.87 inference('cnf', [status(esa)], [not_simplification])).
% 8.59/1.87 thf(zip_derived_cl32, plain, (((b1) = (not @ d1))),
% 8.59/1.87 inference('cnf', [status(esa)], [zf_stmt_5])).
% 8.59/1.87 thf(zip_derived_cl2359, plain, (((not @ f1) = (c1))),
% 8.59/1.87 inference('demod', [status(thm)], [zip_derived_cl63, zip_derived_cl2287])).
% 8.59/1.87 thf(zip_derived_cl2993, plain, (((d3) = (and @ b1 @ c1))),
% 8.59/1.87 inference('demod', [status(thm)],
% 8.59/1.87 [zip_derived_cl2986, zip_derived_cl27, zip_derived_cl32,
% 8.59/1.87 zip_derived_cl2359])).
% 8.59/1.87 thf(zip_derived_cl7416, plain, (((d3) = (and @ a1 @ c1))),
% 8.59/1.87 inference('demod', [status(thm)],
% 8.59/1.87 [zip_derived_cl7404, zip_derived_cl2993])).
% 8.59/1.87 thf(zip_derived_cl28, plain,
% 8.59/1.87 (![X0 : $i, X1 : $i]:
% 8.59/1.87 ((or @ (and @ X0 @ X1) @ (and @ X0 @ (not @ X1))) = (X0))),
% 8.59/1.87 inference('cnf', [status(esa)], [and_or_not_simplification1])).
% 8.59/1.87 thf(zip_derived_cl7483, plain,
% 8.59/1.87 (((or @ d3 @ (and @ a1 @ (not @ c1))) = (a1))),
% 8.59/1.87 inference('sup+', [status(thm)], [zip_derived_cl7416, zip_derived_cl28])).
% 8.59/1.87 thf(zip_derived_cl2358, plain, (((f1) = (not @ c1))),
% 8.59/1.87 inference('demod', [status(thm)], [zip_derived_cl42, zip_derived_cl2287])).
% 8.59/1.87 thf(zip_derived_cl7499, plain, (((or @ d3 @ (and @ a1 @ f1)) = (a1))),
% 8.59/1.87 inference('demod', [status(thm)],
% 8.59/1.87 [zip_derived_cl7483, zip_derived_cl2358])).
% 8.59/1.87 thf(zip_derived_cl4948, plain, (((or @ c1 @ (and @ b2 @ f1)) = (b2))),
% 8.59/1.87 inference('demod', [status(thm)],
% 8.59/1.87 [zip_derived_cl4934, zip_derived_cl2358])).
% 8.59/1.87 thf(zip_derived_cl13, plain,
% 8.59/1.87 (![X0 : $i, X1 : $i]:
% 8.59/1.87 ((not @ (or @ X0 @ X1)) = (and @ (not @ X0) @ (not @ X1)))),
% 8.59/1.87 inference('cnf', [status(esa)], [not_canonicalization2])).
% 8.59/1.87 thf(zip_derived_cl5259, plain,
% 8.59/1.87 (((not @ b2) = (and @ (not @ c1) @ (not @ (and @ b2 @ f1))))),
% 8.59/1.87 inference('sup+', [status(thm)], [zip_derived_cl4948, zip_derived_cl13])).
% 8.59/1.87 thf(zip_derived_cl60, plain, (((not @ b2) = (d2))),
% 8.59/1.87 inference('sup+', [status(thm)], [zip_derived_cl33, zip_derived_cl27])).
% 8.59/1.87 thf(zip_derived_cl2358, plain, (((f1) = (not @ c1))),
% 8.59/1.87 inference('demod', [status(thm)], [zip_derived_cl42, zip_derived_cl2287])).
% 8.59/1.87 thf(zip_derived_cl5265, plain,
% 8.59/1.87 (((d2) = (and @ f1 @ (not @ (and @ b2 @ f1))))),
% 8.59/1.87 inference('demod', [status(thm)],
% 8.59/1.87 [zip_derived_cl5259, zip_derived_cl60, zip_derived_cl2358])).
% 8.59/1.87 thf(zip_derived_cl4526, plain, (((and @ d2 @ c1) = (n0))),
% 8.59/1.87 inference('demod', [status(thm)],
% 8.59/1.87 [zip_derived_cl4457, zip_derived_cl2379, zip_derived_cl6])).
% 8.59/1.87 thf(zip_derived_cl28, plain,
% 8.59/1.87 (![X0 : $i, X1 : $i]:
% 8.59/1.87 ((or @ (and @ X0 @ X1) @ (and @ X0 @ (not @ X1))) = (X0))),
% 8.59/1.87 inference('cnf', [status(esa)], [and_or_not_simplification1])).
% 8.59/1.87 thf(zip_derived_cl4876, plain,
% 8.59/1.87 (((or @ n0 @ (and @ d2 @ (not @ c1))) = (d2))),
% 8.59/1.87 inference('sup+', [status(thm)], [zip_derived_cl4526, zip_derived_cl28])).
% 8.59/1.87 thf(zip_derived_cl2358, plain, (((f1) = (not @ c1))),
% 8.59/1.87 inference('demod', [status(thm)], [zip_derived_cl42, zip_derived_cl2287])).
% 8.59/1.87 thf(zip_derived_cl102, plain, (![X0 : $i]: ((or @ n0 @ X0) = (X0))),
% 8.59/1.87 inference('sup+', [status(thm)], [zip_derived_cl7, zip_derived_cl2])).
% 8.59/1.87 thf(zip_derived_cl4892, plain, (((and @ d2 @ f1) = (d2))),
% 8.59/1.87 inference('demod', [status(thm)],
% 8.59/1.87 [zip_derived_cl4876, zip_derived_cl2358, zip_derived_cl102])).
% 8.59/1.87 thf(zip_derived_cl29, plain,
% 8.59/1.87 (![X0 : $i, X1 : $i]:
% 8.59/1.87 ((or @ (and @ X1 @ X0) @ (and @ X0 @ (not @ X1))) = (X0))),
% 8.59/1.87 inference('cnf', [status(esa)], [and_or_not_simplification2])).
% 8.59/1.87 thf(zip_derived_cl4909, plain,
% 8.59/1.87 (((or @ d2 @ (and @ f1 @ (not @ d2))) = (f1))),
% 8.59/1.87 inference('sup+', [status(thm)], [zip_derived_cl4892, zip_derived_cl29])).
% 8.59/1.87 thf(zip_derived_cl33, plain, (((b2) = (not @ d2))),
% 8.59/1.87 inference('cnf', [status(esa)], [zf_stmt_11])).
% 8.59/1.87 thf(zip_derived_cl6, plain,
% 8.59/1.87 (![X0 : $i, X1 : $i]: ((and @ X1 @ X0) = (and @ X0 @ X1))),
% 8.59/1.87 inference('cnf', [status(esa)], [and_commutativity])).
% 8.59/1.87 thf(zip_derived_cl4923, plain, (((or @ d2 @ (and @ b2 @ f1)) = (f1))),
% 8.59/1.87 inference('demod', [status(thm)],
% 8.59/1.87 [zip_derived_cl4909, zip_derived_cl33, zip_derived_cl6])).
% 8.59/1.87 thf(or_simplification2, axiom,
% 8.59/1.87 (( or @ ( or @ X @ Y ) @ Y ) = ( or @ X @ Y ))).
% 8.59/1.87 thf(zip_derived_cl19, plain,
% 8.59/1.87 (![X0 : $i, X1 : $i]: ((or @ (or @ X0 @ X1) @ X1) = (or @ X0 @ X1))),
% 8.59/1.87 inference('cnf', [status(esa)], [or_simplification2])).
% 8.59/1.87 thf(zip_derived_cl4984, plain,
% 8.59/1.87 (((or @ f1 @ (and @ b2 @ f1)) = (or @ d2 @ (and @ b2 @ f1)))),
% 8.59/1.87 inference('sup+', [status(thm)], [zip_derived_cl4923, zip_derived_cl19])).
% 8.59/1.87 thf(zip_derived_cl4923, plain, (((or @ d2 @ (and @ b2 @ f1)) = (f1))),
% 8.59/1.87 inference('demod', [status(thm)],
% 8.59/1.87 [zip_derived_cl4909, zip_derived_cl33, zip_derived_cl6])).
% 8.59/1.87 thf(zip_derived_cl4990, plain, (((or @ f1 @ (and @ b2 @ f1)) = (f1))),
% 8.59/1.87 inference('demod', [status(thm)],
% 8.59/1.87 [zip_derived_cl4984, zip_derived_cl4923])).
% 8.59/1.87 thf(zip_derived_cl13, plain,
% 8.59/1.87 (![X0 : $i, X1 : $i]:
% 8.59/1.87 ((not @ (or @ X0 @ X1)) = (and @ (not @ X0) @ (not @ X1)))),
% 8.59/1.87 inference('cnf', [status(esa)], [not_canonicalization2])).
% 8.59/1.87 thf(zip_derived_cl5284, plain,
% 8.59/1.87 (((not @ f1) = (and @ (not @ f1) @ (not @ (and @ b2 @ f1))))),
% 8.59/1.87 inference('sup+', [status(thm)], [zip_derived_cl4990, zip_derived_cl13])).
% 8.59/1.87 thf(zip_derived_cl2359, plain, (((not @ f1) = (c1))),
% 8.59/1.87 inference('demod', [status(thm)], [zip_derived_cl63, zip_derived_cl2287])).
% 8.59/1.87 thf(zip_derived_cl2359, plain, (((not @ f1) = (c1))),
% 8.59/1.87 inference('demod', [status(thm)], [zip_derived_cl63, zip_derived_cl2287])).
% 8.59/1.87 thf(zip_derived_cl5290, plain,
% 8.59/1.87 (((c1) = (and @ c1 @ (not @ (and @ b2 @ f1))))),
% 8.59/1.87 inference('demod', [status(thm)],
% 8.59/1.87 [zip_derived_cl5284, zip_derived_cl2359, zip_derived_cl2359])).
% 8.59/1.87 thf(zip_derived_cl29, plain,
% 8.59/1.87 (![X0 : $i, X1 : $i]:
% 8.59/1.87 ((or @ (and @ X1 @ X0) @ (and @ X0 @ (not @ X1))) = (X0))),
% 8.59/1.87 inference('cnf', [status(esa)], [and_or_not_simplification2])).
% 8.59/1.87 thf(zip_derived_cl9223, plain,
% 8.59/1.87 (((or @ c1 @ (and @ (not @ (and @ b2 @ f1)) @ (not @ c1)))
% 8.59/1.87 = (not @ (and @ b2 @ f1)))),
% 8.59/1.87 inference('sup+', [status(thm)], [zip_derived_cl5290, zip_derived_cl29])).
% 8.59/1.87 thf(zip_derived_cl2358, plain, (((f1) = (not @ c1))),
% 8.59/1.87 inference('demod', [status(thm)], [zip_derived_cl42, zip_derived_cl2287])).
% 8.59/1.87 thf(zip_derived_cl6, plain,
% 8.59/1.87 (![X0 : $i, X1 : $i]: ((and @ X1 @ X0) = (and @ X0 @ X1))),
% 8.59/1.87 inference('cnf', [status(esa)], [and_commutativity])).
% 8.59/1.87 thf(zip_derived_cl5265, plain,
% 8.59/1.87 (((d2) = (and @ f1 @ (not @ (and @ b2 @ f1))))),
% 8.59/1.87 inference('demod', [status(thm)],
% 8.59/1.87 [zip_derived_cl5259, zip_derived_cl60, zip_derived_cl2358])).
% 8.59/1.87 thf(zip_derived_cl7, plain,
% 8.59/1.87 (![X0 : $i, X1 : $i]: ((or @ X1 @ X0) = (or @ X0 @ X1))),
% 8.59/1.87 inference('cnf', [status(esa)], [or_commutativity])).
% 8.59/1.87 thf(zip_derived_cl9241, plain, (((or @ d2 @ c1) = (not @ (and @ b2 @ f1)))),
% 8.59/1.87 inference('demod', [status(thm)],
% 8.59/1.87 [zip_derived_cl9223, zip_derived_cl2358, zip_derived_cl6,
% 8.59/1.87 zip_derived_cl5265, zip_derived_cl7])).
% 8.59/1.87 thf(zip_derived_cl9792, plain, (((c1) = (a2))),
% 8.59/1.87 inference('demod', [status(thm)],
% 8.59/1.87 [zip_derived_cl9780, zip_derived_cl2359, zip_derived_cl33,
% 8.59/1.87 zip_derived_cl27, zip_derived_cl31])).
% 8.59/1.87 thf(zip_derived_cl7, plain,
% 8.59/1.87 (![X0 : $i, X1 : $i]: ((or @ X1 @ X0) = (or @ X0 @ X1))),
% 8.59/1.87 inference('cnf', [status(esa)], [or_commutativity])).
% 8.59/1.87 thf(zip_derived_cl36, plain, (((c2) = (or @ d2 @ d3))),
% 8.59/1.87 inference('cnf', [status(esa)], [zf_stmt_13])).
% 8.59/1.87 thf(zip_derived_cl13, plain,
% 8.59/1.87 (![X0 : $i, X1 : $i]:
% 8.59/1.87 ((not @ (or @ X0 @ X1)) = (and @ (not @ X0) @ (not @ X1)))),
% 8.59/1.87 inference('cnf', [status(esa)], [not_canonicalization2])).
% 8.59/1.87 thf(zip_derived_cl719, plain,
% 8.59/1.87 (((not @ c2) = (and @ (not @ d2) @ (not @ d3)))),
% 8.59/1.87 inference('sup+', [status(thm)], [zip_derived_cl36, zip_derived_cl13])).
% 8.59/1.87 thf(zip_derived_cl33, plain, (((b2) = (not @ d2))),
% 8.59/1.87 inference('cnf', [status(esa)], [zf_stmt_11])).
% 8.59/1.87 thf(zip_derived_cl741, plain, (((not @ c2) = (and @ b2 @ (not @ d3)))),
% 8.59/1.87 inference('demod', [status(thm)], [zip_derived_cl719, zip_derived_cl33])).
% 8.59/1.87 thf(zip_derived_cl2371, plain, (((f2) = (not @ c2))),
% 8.59/1.87 inference('demod', [status(thm)], [zip_derived_cl43, zip_derived_cl2288])).
% 8.59/1.87 thf(zip_derived_cl2409, plain, (((f2) = (and @ b2 @ (not @ d3)))),
% 8.59/1.87 inference('demod', [status(thm)], [zip_derived_cl741, zip_derived_cl2371])).
% 8.59/1.87 thf(zip_derived_cl29, plain,
% 8.59/1.87 (![X0 : $i, X1 : $i]:
% 8.59/1.87 ((or @ (and @ X1 @ X0) @ (and @ X0 @ (not @ X1))) = (X0))),
% 8.59/1.87 inference('cnf', [status(esa)], [and_or_not_simplification2])).
% 8.59/1.87 thf(zip_derived_cl3127, plain,
% 8.59/1.87 (((or @ f2 @ (and @ (not @ d3) @ (not @ b2))) = (not @ d3))),
% 8.59/1.87 inference('sup+', [status(thm)], [zip_derived_cl2409, zip_derived_cl29])).
% 8.59/1.87 thf(zip_derived_cl60, plain, (((not @ b2) = (d2))),
% 8.59/1.87 inference('sup+', [status(thm)], [zip_derived_cl33, zip_derived_cl27])).
% 8.59/1.87 thf(zip_derived_cl6, plain,
% 8.59/1.87 (![X0 : $i, X1 : $i]: ((and @ X1 @ X0) = (and @ X0 @ X1))),
% 8.59/1.87 inference('cnf', [status(esa)], [and_commutativity])).
% 8.59/1.87 thf(zip_derived_cl743, plain, (((d2) = (and @ i2 @ (not @ d3)))),
% 8.59/1.87 inference('demod', [status(thm)],
% 8.59/1.87 [zip_derived_cl722, zip_derived_cl60, zip_derived_cl64,
% 8.59/1.87 zip_derived_cl6])).
% 8.59/1.87 thf(zip_derived_cl16, plain,
% 8.59/1.87 (![X0 : $i, X1 : $i]: ((and @ (and @ X0 @ X1) @ X1) = (and @ X0 @ X1))),
% 8.59/1.87 inference('cnf', [status(esa)], [and_simplification2])).
% 8.59/1.87 thf(zip_derived_cl766, plain,
% 8.59/1.87 (((and @ d2 @ (not @ d3)) = (and @ i2 @ (not @ d3)))),
% 8.59/1.87 inference('sup+', [status(thm)], [zip_derived_cl743, zip_derived_cl16])).
% 8.59/1.87 thf(zip_derived_cl743, plain, (((d2) = (and @ i2 @ (not @ d3)))),
% 8.59/1.87 inference('demod', [status(thm)],
% 8.59/1.87 [zip_derived_cl722, zip_derived_cl60, zip_derived_cl64,
% 8.59/1.87 zip_derived_cl6])).
% 8.59/1.87 thf(zip_derived_cl769, plain, (((and @ d2 @ (not @ d3)) = (d2))),
% 8.59/1.87 inference('demod', [status(thm)], [zip_derived_cl766, zip_derived_cl743])).
% 8.59/1.87 thf(zip_derived_cl7, plain,
% 8.59/1.87 (![X0 : $i, X1 : $i]: ((or @ X1 @ X0) = (or @ X0 @ X1))),
% 8.59/1.87 inference('cnf', [status(esa)], [or_commutativity])).
% 8.59/1.87 thf(zip_derived_cl3138, plain, (((or @ d2 @ f2) = (not @ d3))),
% 8.59/1.87 inference('demod', [status(thm)],
% 8.59/1.87 [zip_derived_cl3127, zip_derived_cl60, zip_derived_cl6,
% 8.59/1.87 zip_derived_cl769, zip_derived_cl7])).
% 8.59/1.87 thf(zip_derived_cl13, plain,
% 8.59/1.87 (![X0 : $i, X1 : $i]:
% 8.59/1.87 ((not @ (or @ X0 @ X1)) = (and @ (not @ X0) @ (not @ X1)))),
% 8.59/1.87 inference('cnf', [status(esa)], [not_canonicalization2])).
% 8.59/1.87 thf(zip_derived_cl3181, plain,
% 8.59/1.87 (((not @ (not @ d3)) = (and @ (not @ d2) @ (not @ f2)))),
% 8.59/1.87 inference('sup+', [status(thm)], [zip_derived_cl3138, zip_derived_cl13])).
% 8.59/1.87 thf(zip_derived_cl27, plain, (![X0 : $i]: ((not @ (not @ X0)) = (X0))),
% 8.59/1.87 inference('cnf', [status(esa)], [not_simplification])).
% 8.59/1.87 thf(zip_derived_cl33, plain, (((b2) = (not @ d2))),
% 8.59/1.87 inference('cnf', [status(esa)], [zf_stmt_11])).
% 8.59/1.87 thf(zip_derived_cl2372, plain, (((not @ f2) = (c2))),
% 8.59/1.87 inference('demod', [status(thm)], [zip_derived_cl64, zip_derived_cl2288])).
% 8.59/1.87 thf(zip_derived_cl3188, plain, (((d3) = (and @ b2 @ c2))),
% 8.59/1.87 inference('demod', [status(thm)],
% 8.59/1.87 [zip_derived_cl3181, zip_derived_cl27, zip_derived_cl33,
% 8.59/1.87 zip_derived_cl2372])).
% 8.59/1.87 thf(zip_derived_cl31, plain, (((a2) = (and @ b2 @ b3))),
% 8.59/1.87 inference('cnf', [status(esa)], [zf_stmt_15])).
% 8.59/1.87 thf(zip_derived_cl6, plain,
% 8.59/1.87 (![X0 : $i, X1 : $i]: ((and @ X1 @ X0) = (and @ X0 @ X1))),
% 8.59/1.87 inference('cnf', [status(esa)], [and_commutativity])).
% 8.59/1.87 thf(zip_derived_cl82, plain, (((a2) = (and @ b3 @ b2))),
% 8.59/1.87 inference('sup+', [status(thm)], [zip_derived_cl31, zip_derived_cl6])).
% 8.59/1.87 thf(zip_derived_cl8, plain,
% 8.59/1.87 (![X0 : $i, X1 : $i, X2 : $i]:
% 8.59/1.87 ((and @ X0 @ (and @ X1 @ X2)) = (and @ (and @ X0 @ X1) @ X2))),
% 8.59/1.87 inference('cnf', [status(esa)], [and_associativity])).
% 8.59/1.87 thf(zip_derived_cl130, plain,
% 8.59/1.87 (![X0 : $i]: ((and @ b3 @ (and @ b2 @ X0)) = (and @ a2 @ X0))),
% 8.59/1.87 inference('sup+', [status(thm)], [zip_derived_cl82, zip_derived_cl8])).
% 8.59/1.87 thf(zip_derived_cl5791, plain, (((and @ b3 @ d3) = (and @ a2 @ c2))),
% 8.59/1.87 inference('sup+', [status(thm)], [zip_derived_cl3188, zip_derived_cl130])).
% 8.59/1.87 thf(zip_derived_cl720, plain,
% 8.59/1.87 (((not @ b3) = (and @ (not @ c1) @ (not @ c2)))),
% 8.59/1.87 inference('sup+', [status(thm)], [zip_derived_cl34, zip_derived_cl13])).
% 8.59/1.87 thf(and_not_simplification2, axiom,
% 8.59/1.87 (( and @ ( and @ X @ Y ) @ ( not @ Y ) ) = ( n0 ))).
% 8.59/1.87 thf(zip_derived_cl22, plain,
% 8.59/1.87 (![X0 : $i, X1 : $i]: ((and @ (and @ X0 @ X1) @ (not @ X1)) = (n0))),
% 8.59/1.87 inference('cnf', [status(esa)], [and_not_simplification2])).
% 8.59/1.87 thf(zip_derived_cl1435, plain,
% 8.59/1.87 (((and @ (not @ b3) @ (not @ (not @ c2))) = (n0))),
% 8.59/1.87 inference('sup+', [status(thm)], [zip_derived_cl720, zip_derived_cl22])).
% 8.59/1.87 thf(zip_derived_cl27, plain, (![X0 : $i]: ((not @ (not @ X0)) = (X0))),
% 8.59/1.87 inference('cnf', [status(esa)], [not_simplification])).
% 8.59/1.87 thf(zip_derived_cl6, plain,
% 8.59/1.87 (![X0 : $i, X1 : $i]: ((and @ X1 @ X0) = (and @ X0 @ X1))),
% 8.59/1.87 inference('cnf', [status(esa)], [and_commutativity])).
% 8.59/1.87 thf(zip_derived_cl1491, plain, (((and @ c2 @ (not @ b3)) = (n0))),
% 8.59/1.87 inference('demod', [status(thm)],
% 8.59/1.87 [zip_derived_cl1435, zip_derived_cl27, zip_derived_cl6])).
% 8.59/1.87 thf(zip_derived_cl28, plain,
% 8.59/1.87 (![X0 : $i, X1 : $i]:
% 8.59/1.87 ((or @ (and @ X0 @ X1) @ (and @ X0 @ (not @ X1))) = (X0))),
% 8.59/1.87 inference('cnf', [status(esa)], [and_or_not_simplification1])).
% 8.59/1.87 thf(zip_derived_cl5339, plain,
% 8.59/1.87 (((or @ n0 @ (and @ c2 @ (not @ (not @ b3)))) = (c2))),
% 8.59/1.87 inference('sup+', [status(thm)], [zip_derived_cl1491, zip_derived_cl28])).
% 8.59/1.87 thf(zip_derived_cl27, plain, (![X0 : $i]: ((not @ (not @ X0)) = (X0))),
% 8.59/1.87 inference('cnf', [status(esa)], [not_simplification])).
% 8.59/1.87 thf(zip_derived_cl6, plain,
% 8.59/1.87 (![X0 : $i, X1 : $i]: ((and @ X1 @ X0) = (and @ X0 @ X1))),
% 8.59/1.87 inference('cnf', [status(esa)], [and_commutativity])).
% 8.59/1.87 thf(zip_derived_cl102, plain, (![X0 : $i]: ((or @ n0 @ X0) = (X0))),
% 8.59/1.87 inference('sup+', [status(thm)], [zip_derived_cl7, zip_derived_cl2])).
% 8.59/1.87 thf(zip_derived_cl5358, plain, (((and @ b3 @ c2) = (c2))),
% 8.59/1.87 inference('demod', [status(thm)],
% 8.59/1.87 [zip_derived_cl5339, zip_derived_cl27, zip_derived_cl6,
% 8.59/1.87 zip_derived_cl102])).
% 8.59/1.87 thf(zip_derived_cl31, plain, (((a2) = (and @ b2 @ b3))),
% 8.59/1.87 inference('cnf', [status(esa)], [zf_stmt_15])).
% 8.59/1.87 thf(zip_derived_cl8, plain,
% 8.59/1.87 (![X0 : $i, X1 : $i, X2 : $i]:
% 8.59/1.87 ((and @ X0 @ (and @ X1 @ X2)) = (and @ (and @ X0 @ X1) @ X2))),
% 8.59/1.87 inference('cnf', [status(esa)], [and_associativity])).
% 8.59/1.87 thf(zip_derived_cl131, plain,
% 8.59/1.87 (![X0 : $i]: ((and @ b2 @ (and @ b3 @ X0)) = (and @ a2 @ X0))),
% 8.59/1.87 inference('sup+', [status(thm)], [zip_derived_cl31, zip_derived_cl8])).
% 8.59/1.87 thf(zip_derived_cl5967, plain, (((and @ b2 @ c2) = (and @ a2 @ c2))),
% 8.59/1.87 inference('sup+', [status(thm)], [zip_derived_cl5358, zip_derived_cl131])).
% 8.59/1.87 thf(zip_derived_cl3188, plain, (((d3) = (and @ b2 @ c2))),
% 8.59/1.87 inference('demod', [status(thm)],
% 8.59/1.87 [zip_derived_cl3181, zip_derived_cl27, zip_derived_cl33,
% 8.59/1.87 zip_derived_cl2372])).
% 8.59/1.87 thf(zip_derived_cl5791, plain, (((and @ b3 @ d3) = (and @ a2 @ c2))),
% 8.59/1.87 inference('sup+', [status(thm)], [zip_derived_cl3188, zip_derived_cl130])).
% 8.59/1.87 thf(zip_derived_cl5978, plain, (((d3) = (and @ b3 @ d3))),
% 8.59/1.87 inference('demod', [status(thm)],
% 8.59/1.87 [zip_derived_cl5967, zip_derived_cl3188, zip_derived_cl5791])).
% 8.59/1.87 thf(zip_derived_cl6022, plain, (((d3) = (and @ a2 @ c2))),
% 8.59/1.87 inference('demod', [status(thm)],
% 8.59/1.87 [zip_derived_cl5791, zip_derived_cl5978])).
% 8.59/1.87 thf(zip_derived_cl28, plain,
% 8.59/1.87 (![X0 : $i, X1 : $i]:
% 8.59/1.87 ((or @ (and @ X0 @ X1) @ (and @ X0 @ (not @ X1))) = (X0))),
% 8.59/1.87 inference('cnf', [status(esa)], [and_or_not_simplification1])).
% 8.59/1.87 thf(zip_derived_cl6059, plain,
% 8.59/1.87 (((or @ d3 @ (and @ a2 @ (not @ c2))) = (a2))),
% 8.59/1.87 inference('sup+', [status(thm)], [zip_derived_cl6022, zip_derived_cl28])).
% 8.59/1.87 thf(zip_derived_cl2371, plain, (((f2) = (not @ c2))),
% 8.59/1.87 inference('demod', [status(thm)], [zip_derived_cl43, zip_derived_cl2288])).
% 8.59/1.87 thf(zip_derived_cl741, plain, (((not @ c2) = (and @ b2 @ (not @ d3)))),
% 8.59/1.87 inference('demod', [status(thm)], [zip_derived_cl719, zip_derived_cl33])).
% 8.59/1.87 thf(zip_derived_cl17, plain,
% 8.59/1.87 (![X0 : $i, X1 : $i]: ((and @ (and @ X0 @ X1) @ X0) = (and @ X0 @ X1))),
% 8.59/1.87 inference('cnf', [status(esa)], [and_simplification3])).
% 8.59/1.87 thf(zip_derived_cl802, plain,
% 8.59/1.87 (((and @ (not @ c2) @ b2) = (and @ b2 @ (not @ d3)))),
% 8.59/1.87 inference('sup+', [status(thm)], [zip_derived_cl741, zip_derived_cl17])).
% 8.59/1.87 thf(zip_derived_cl6, plain,
% 8.59/1.87 (![X0 : $i, X1 : $i]: ((and @ X1 @ X0) = (and @ X0 @ X1))),
% 8.59/1.87 inference('cnf', [status(esa)], [and_commutativity])).
% 8.59/1.87 thf(zip_derived_cl741, plain, (((not @ c2) = (and @ b2 @ (not @ d3)))),
% 8.59/1.87 inference('demod', [status(thm)], [zip_derived_cl719, zip_derived_cl33])).
% 8.59/1.87 thf(zip_derived_cl805, plain, (((and @ b2 @ (not @ c2)) = (not @ c2))),
% 8.59/1.87 inference('demod', [status(thm)],
% 8.59/1.87 [zip_derived_cl802, zip_derived_cl6, zip_derived_cl741])).
% 8.59/1.87 thf(zip_derived_cl2371, plain, (((f2) = (not @ c2))),
% 8.59/1.87 inference('demod', [status(thm)], [zip_derived_cl43, zip_derived_cl2288])).
% 8.59/1.87 thf(zip_derived_cl2371, plain, (((f2) = (not @ c2))),
% 8.59/1.87 inference('demod', [status(thm)], [zip_derived_cl43, zip_derived_cl2288])).
% 8.59/1.87 thf(zip_derived_cl2411, plain, (((and @ b2 @ f2) = (f2))),
% 8.59/1.87 inference('demod', [status(thm)],
% 8.59/1.87 [zip_derived_cl805, zip_derived_cl2371, zip_derived_cl2371])).
% 8.59/1.87 thf(zip_derived_cl130, plain,
% 8.59/1.87 (![X0 : $i]: ((and @ b3 @ (and @ b2 @ X0)) = (and @ a2 @ X0))),
% 8.59/1.87 inference('sup+', [status(thm)], [zip_derived_cl82, zip_derived_cl8])).
% 8.59/1.87 thf(zip_derived_cl5793, plain, (((and @ b3 @ f2) = (and @ a2 @ f2))),
% 8.59/1.87 inference('sup+', [status(thm)], [zip_derived_cl2411, zip_derived_cl130])).
% 8.59/1.87 thf(zip_derived_cl6074, plain, (((or @ d3 @ (and @ b3 @ f2)) = (a2))),
% 8.59/1.87 inference('demod', [status(thm)],
% 8.59/1.87 [zip_derived_cl6059, zip_derived_cl2371, zip_derived_cl5793])).
% 8.59/1.87 thf(zip_derived_cl36, plain, (((c2) = (or @ d2 @ d3))),
% 8.59/1.87 inference('cnf', [status(esa)], [zf_stmt_13])).
% 8.59/1.87 thf(zip_derived_cl9, plain,
% 8.59/1.87 (![X0 : $i, X1 : $i, X2 : $i]:
% 8.59/1.87 ((or @ X0 @ (or @ X1 @ X2)) = (or @ (or @ X0 @ X1) @ X2))),
% 8.59/1.87 inference('cnf', [status(esa)], [or_associativity])).
% 8.59/1.87 thf(zip_derived_cl178, plain,
% 8.59/1.87 (![X0 : $i]: ((or @ d2 @ (or @ d3 @ X0)) = (or @ c2 @ X0))),
% 8.59/1.87 inference('sup+', [status(thm)], [zip_derived_cl36, zip_derived_cl9])).
% 8.59/1.87 thf(zip_derived_cl9676, plain,
% 8.59/1.87 (((or @ d2 @ a2) = (or @ c2 @ (and @ b3 @ f2)))),
% 8.59/1.87 inference('sup+', [status(thm)], [zip_derived_cl6074, zip_derived_cl178])).
% 8.59/1.87 thf(zip_derived_cl7, plain,
% 8.59/1.87 (![X0 : $i, X1 : $i]: ((or @ X1 @ X0) = (or @ X0 @ X1))),
% 8.59/1.87 inference('cnf', [status(esa)], [or_commutativity])).
% 8.59/1.87 thf(zip_derived_cl5358, plain, (((and @ b3 @ c2) = (c2))),
% 8.59/1.87 inference('demod', [status(thm)],
% 8.59/1.87 [zip_derived_cl5339, zip_derived_cl27, zip_derived_cl6,
% 8.59/1.87 zip_derived_cl102])).
% 8.59/1.87 thf(zip_derived_cl28, plain,
% 8.59/1.87 (![X0 : $i, X1 : $i]:
% 8.59/1.87 ((or @ (and @ X0 @ X1) @ (and @ X0 @ (not @ X1))) = (X0))),
% 8.59/1.87 inference('cnf', [status(esa)], [and_or_not_simplification1])).
% 8.59/1.87 thf(zip_derived_cl5376, plain,
% 8.59/1.87 (((or @ c2 @ (and @ b3 @ (not @ c2))) = (b3))),
% 8.59/1.87 inference('sup+', [status(thm)], [zip_derived_cl5358, zip_derived_cl28])).
% 8.59/1.87 thf(zip_derived_cl2371, plain, (((f2) = (not @ c2))),
% 8.59/1.87 inference('demod', [status(thm)], [zip_derived_cl43, zip_derived_cl2288])).
% 8.59/1.87 thf(zip_derived_cl5391, plain, (((or @ c2 @ (and @ b3 @ f2)) = (b3))),
% 8.59/1.87 inference('demod', [status(thm)],
% 8.59/1.87 [zip_derived_cl5376, zip_derived_cl2371])).
% 8.59/1.87 thf(zip_derived_cl9690, plain, (((or @ a2 @ d2) = (b3))),
% 8.59/1.87 inference('demod', [status(thm)],
% 8.59/1.87 [zip_derived_cl9676, zip_derived_cl7, zip_derived_cl5391])).
% 8.59/1.87 thf(zip_derived_cl9905, plain, (((b3) = (not @ (and @ b2 @ f1)))),
% 8.59/1.87 inference('demod', [status(thm)],
% 8.59/1.87 [zip_derived_cl9241, zip_derived_cl9792, zip_derived_cl7,
% 8.59/1.87 zip_derived_cl9690])).
% 8.59/1.87 thf(zip_derived_cl6, plain,
% 8.59/1.87 (![X0 : $i, X1 : $i]: ((and @ X1 @ X0) = (and @ X0 @ X1))),
% 8.59/1.87 inference('cnf', [status(esa)], [and_commutativity])).
% 8.59/1.87 thf(zip_derived_cl12367, plain, (((d2) = (and @ b3 @ f1))),
% 8.59/1.87 inference('demod', [status(thm)],
% 8.59/1.87 [zip_derived_cl5265, zip_derived_cl9905, zip_derived_cl6])).
% 8.59/1.87 thf(zip_derived_cl128, plain,
% 8.59/1.87 (![X0 : $i]: ((and @ b1 @ (and @ b3 @ X0)) = (and @ a1 @ X0))),
% 8.59/1.87 inference('sup+', [status(thm)], [zip_derived_cl30, zip_derived_cl8])).
% 8.59/1.87 thf(zip_derived_cl12414, plain, (((and @ b1 @ d2) = (and @ a1 @ f1))),
% 8.59/1.87 inference('sup+', [status(thm)], [zip_derived_cl12367, zip_derived_cl128])).
% 8.59/1.87 thf(zip_derived_cl9475, plain, (((b2) = (or @ b2 @ d1))),
% 8.59/1.87 inference('demod', [status(thm)],
% 8.59/1.87 [zip_derived_cl9462, zip_derived_cl9, zip_derived_cl1284,
% 8.59/1.87 zip_derived_cl5267, zip_derived_cl9444])).
% 8.59/1.87 thf(zip_derived_cl13, plain,
% 8.59/1.87 (![X0 : $i, X1 : $i]:
% 8.59/1.87 ((not @ (or @ X0 @ X1)) = (and @ (not @ X0) @ (not @ X1)))),
% 8.59/1.87 inference('cnf', [status(esa)], [not_canonicalization2])).
% 8.59/1.87 thf(zip_derived_cl9485, plain,
% 8.59/1.87 (((not @ b2) = (and @ (not @ b2) @ (not @ d1)))),
% 8.59/1.87 inference('sup+', [status(thm)], [zip_derived_cl9475, zip_derived_cl13])).
% 8.59/1.87 thf(zip_derived_cl60, plain, (((not @ b2) = (d2))),
% 8.59/1.87 inference('sup+', [status(thm)], [zip_derived_cl33, zip_derived_cl27])).
% 8.59/1.87 thf(zip_derived_cl60, plain, (((not @ b2) = (d2))),
% 8.59/1.87 inference('sup+', [status(thm)], [zip_derived_cl33, zip_derived_cl27])).
% 8.59/1.87 thf(zip_derived_cl32, plain, (((b1) = (not @ d1))),
% 8.59/1.87 inference('cnf', [status(esa)], [zf_stmt_5])).
% 8.59/1.87 thf(zip_derived_cl6, plain,
% 8.59/1.87 (![X0 : $i, X1 : $i]: ((and @ X1 @ X0) = (and @ X0 @ X1))),
% 8.59/1.87 inference('cnf', [status(esa)], [and_commutativity])).
% 8.59/1.87 thf(zip_derived_cl9496, plain, (((d2) = (and @ b1 @ d2))),
% 8.59/1.87 inference('demod', [status(thm)],
% 8.59/1.87 [zip_derived_cl9485, zip_derived_cl60, zip_derived_cl60,
% 8.59/1.87 zip_derived_cl32, zip_derived_cl6])).
% 8.59/1.87 thf(zip_derived_cl12427, plain, (((d2) = (and @ a1 @ f1))),
% 8.59/1.87 inference('demod', [status(thm)],
% 8.59/1.87 [zip_derived_cl12414, zip_derived_cl9496])).
% 8.59/1.87 thf(zip_derived_cl7, plain,
% 8.59/1.87 (![X0 : $i, X1 : $i]: ((or @ X1 @ X0) = (or @ X0 @ X1))),
% 8.59/1.87 inference('cnf', [status(esa)], [or_commutativity])).
% 8.59/1.87 thf(zip_derived_cl36, plain, (((c2) = (or @ d2 @ d3))),
% 8.59/1.87 inference('cnf', [status(esa)], [zf_stmt_13])).
% 8.59/1.87 thf(zip_derived_cl12464, plain, (((c2) = (a1))),
% 8.59/1.87 inference('demod', [status(thm)],
% 8.59/1.87 [zip_derived_cl7499, zip_derived_cl12427, zip_derived_cl7,
% 8.59/1.87 zip_derived_cl36])).
% 8.59/1.87 thf(zip_derived_cl12520, plain, (((output @ a1 @ a2) != (output @ a1 @ a2))),
% 8.59/1.87 inference('demod', [status(thm)],
% 8.59/1.87 [zip_derived_cl9878, zip_derived_cl12464])).
% 8.59/1.87 thf(zip_derived_cl12521, plain, ($false),
% 8.59/1.87 inference('simplify', [status(thm)], [zip_derived_cl12520])).
% 8.59/1.87
% 8.59/1.87 % SZS output end Refutation
% 8.59/1.87
% 8.59/1.87
% 8.59/1.87 % Terminating...
% 9.22/1.96 % Runner terminated.
% 9.22/1.98 % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------