TSTP Solution File: SWW431-1 by Zipperpin---2.1.9999
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- Process Solution
%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : SWW431-1 : TPTP v8.1.2. Released v5.2.0.
% Transfm : NO INFORMATION
% Format : NO INFORMATION
% Command : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.dEAPi36kK2 true
% Computer : n022.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 : Fri Sep 1 01:41:55 EDT 2023
% Result : Unsatisfiable 6.18s 1.54s
% Output : Refutation 6.18s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.13 % Problem : SWW431-1 : TPTP v8.1.2. Released v5.2.0.
% 0.00/0.14 % Command : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.dEAPi36kK2 true
% 0.14/0.35 % Computer : n022.cluster.edu
% 0.14/0.35 % Model : x86_64 x86_64
% 0.14/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.35 % Memory : 8042.1875MB
% 0.14/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.35 % CPULimit : 300
% 0.14/0.35 % WCLimit : 300
% 0.14/0.35 % DateTime : Sun Aug 27 19:53:39 EDT 2023
% 0.14/0.35 % CPUTime :
% 0.14/0.35 % Running portfolio for 300 s
% 0.14/0.35 % File : /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.14/0.35 % Number of cores: 8
% 0.14/0.35 % Python version: Python 3.6.8
% 0.14/0.36 % Running in FO mode
% 0.22/0.67 % Total configuration time : 435
% 0.22/0.67 % Estimated wc time : 1092
% 0.22/0.67 % Estimated cpu time (7 cpus) : 156.0
% 0.22/0.72 % /export/starexec/sandbox2/solver/bin/fo/fo6_bce.sh running for 75s
% 0.22/0.74 % /export/starexec/sandbox2/solver/bin/fo/fo3_bce.sh running for 75s
% 0.22/0.76 % /export/starexec/sandbox2/solver/bin/fo/fo1_av.sh running for 75s
% 0.22/0.77 % /export/starexec/sandbox2/solver/bin/fo/fo7.sh running for 63s
% 0.22/0.77 % /export/starexec/sandbox2/solver/bin/fo/fo13.sh running for 50s
% 0.22/0.77 % /export/starexec/sandbox2/solver/bin/fo/fo5.sh running for 50s
% 0.22/0.78 % /export/starexec/sandbox2/solver/bin/fo/fo4.sh running for 50s
% 6.18/1.54 % Solved by fo/fo4.sh.
% 6.18/1.54 % done 737 iterations in 0.731s
% 6.18/1.54 % SZS status Theorem for '/export/starexec/sandbox2/benchmark/theBenchmark.p'
% 6.18/1.54 % SZS output start Refutation
% 6.18/1.54 thf(lseg_type, type, lseg: $i > $i > $i).
% 6.18/1.54 thf(x13_type, type, x13: $i).
% 6.18/1.54 thf(x7_type, type, x7: $i).
% 6.18/1.54 thf(x1_type, type, x1: $i).
% 6.18/1.54 thf(emp_type, type, emp: $i).
% 6.18/1.54 thf(x5_type, type, x5: $i).
% 6.18/1.54 thf(x11_type, type, x11: $i).
% 6.18/1.54 thf(x10_type, type, x10: $i).
% 6.18/1.54 thf(x8_type, type, x8: $i).
% 6.18/1.54 thf(x12_type, type, x12: $i).
% 6.18/1.54 thf(sep_type, type, sep: $i > $i > $i).
% 6.18/1.54 thf(x9_type, type, x9: $i).
% 6.18/1.54 thf(x4_type, type, x4: $i).
% 6.18/1.54 thf(x2_type, type, x2: $i).
% 6.18/1.54 thf(heap_type, type, heap: $i > $o).
% 6.18/1.54 thf(x3_type, type, x3: $i).
% 6.18/1.54 thf(premise_13, axiom,
% 6.18/1.54 (heap @
% 6.18/1.54 ( sep @
% 6.18/1.54 ( lseg @ x5 @ x3 ) @
% 6.18/1.54 ( sep @
% 6.18/1.54 ( lseg @ x10 @ x8 ) @
% 6.18/1.54 ( sep @
% 6.18/1.54 ( lseg @ x13 @ x8 ) @
% 6.18/1.54 ( sep @
% 6.18/1.54 ( lseg @ x1 @ x11 ) @
% 6.18/1.54 ( sep @
% 6.18/1.54 ( lseg @ x4 @ x9 ) @
% 6.18/1.54 ( sep @
% 6.18/1.54 ( lseg @ x2 @ x9 ) @
% 6.18/1.54 ( sep @
% 6.18/1.54 ( lseg @ x12 @ x7 ) @
% 6.18/1.54 ( sep @
% 6.18/1.54 ( lseg @ x9 @ x2 ) @
% 6.18/1.54 ( sep @
% 6.18/1.54 ( lseg @ x7 @ x10 ) @
% 6.18/1.54 ( sep @
% 6.18/1.54 ( lseg @ x11 @ x12 ) @
% 6.18/1.54 ( sep @
% 6.18/1.54 ( lseg @ x11 @ x7 ) @
% 6.18/1.54 ( sep @ ( lseg @ x11 @ x1 ) @ emp ) ) ) ) ) ) ) ) ) ) ) ))).
% 6.18/1.54 thf(zip_derived_cl23, plain,
% 6.18/1.54 ( (heap @
% 6.18/1.54 (sep @ (lseg @ x5 @ x3) @
% 6.18/1.54 (sep @ (lseg @ x10 @ x8) @
% 6.18/1.54 (sep @ (lseg @ x13 @ x8) @
% 6.18/1.54 (sep @ (lseg @ x1 @ x11) @
% 6.18/1.54 (sep @ (lseg @ x4 @ x9) @
% 6.18/1.54 (sep @ (lseg @ x2 @ x9) @
% 6.18/1.54 (sep @ (lseg @ x12 @ x7) @
% 6.18/1.54 (sep @ (lseg @ x9 @ x2) @
% 6.18/1.54 (sep @ (lseg @ x7 @ x10) @
% 6.18/1.54 (sep @ (lseg @ x11 @ x12) @
% 6.18/1.54 (sep @ (lseg @ x11 @ x7) @ (sep @ (lseg @ x11 @ x1) @ emp)))))))))))))),
% 6.18/1.54 inference('cnf', [status(esa)], [premise_13])).
% 6.18/1.54 thf(associative_commutative, axiom,
% 6.18/1.54 (( sep @ S @ ( sep @ T @ Sigma ) ) = ( sep @ T @ ( sep @ S @ Sigma ) ))).
% 6.18/1.54 thf(zip_derived_cl0, plain,
% 6.18/1.54 (![X0 : $i, X1 : $i, X2 : $i]:
% 6.18/1.54 ((sep @ X1 @ (sep @ X0 @ X2)) = (sep @ X0 @ (sep @ X1 @ X2)))),
% 6.18/1.54 inference('cnf', [status(esa)], [associative_commutative])).
% 6.18/1.54 thf(zip_derived_cl0, plain,
% 6.18/1.54 (![X0 : $i, X1 : $i, X2 : $i]:
% 6.18/1.54 ((sep @ X1 @ (sep @ X0 @ X2)) = (sep @ X0 @ (sep @ X1 @ X2)))),
% 6.18/1.54 inference('cnf', [status(esa)], [associative_commutative])).
% 6.18/1.54 thf(zip_derived_cl0, plain,
% 6.18/1.54 (![X0 : $i, X1 : $i, X2 : $i]:
% 6.18/1.54 ((sep @ X1 @ (sep @ X0 @ X2)) = (sep @ X0 @ (sep @ X1 @ X2)))),
% 6.18/1.54 inference('cnf', [status(esa)], [associative_commutative])).
% 6.18/1.54 thf(zip_derived_cl0, plain,
% 6.18/1.54 (![X0 : $i, X1 : $i, X2 : $i]:
% 6.18/1.54 ((sep @ X1 @ (sep @ X0 @ X2)) = (sep @ X0 @ (sep @ X1 @ X2)))),
% 6.18/1.54 inference('cnf', [status(esa)], [associative_commutative])).
% 6.18/1.54 thf(zip_derived_cl0, plain,
% 6.18/1.54 (![X0 : $i, X1 : $i, X2 : $i]:
% 6.18/1.54 ((sep @ X1 @ (sep @ X0 @ X2)) = (sep @ X0 @ (sep @ X1 @ X2)))),
% 6.18/1.54 inference('cnf', [status(esa)], [associative_commutative])).
% 6.18/1.54 thf(zip_derived_cl0, plain,
% 6.18/1.54 (![X0 : $i, X1 : $i, X2 : $i]:
% 6.18/1.54 ((sep @ X1 @ (sep @ X0 @ X2)) = (sep @ X0 @ (sep @ X1 @ X2)))),
% 6.18/1.54 inference('cnf', [status(esa)], [associative_commutative])).
% 6.18/1.54 thf(zip_derived_cl0, plain,
% 6.18/1.54 (![X0 : $i, X1 : $i, X2 : $i]:
% 6.18/1.54 ((sep @ X1 @ (sep @ X0 @ X2)) = (sep @ X0 @ (sep @ X1 @ X2)))),
% 6.18/1.54 inference('cnf', [status(esa)], [associative_commutative])).
% 6.18/1.54 thf(zip_derived_cl0, plain,
% 6.18/1.54 (![X0 : $i, X1 : $i, X2 : $i]:
% 6.18/1.54 ((sep @ X1 @ (sep @ X0 @ X2)) = (sep @ X0 @ (sep @ X1 @ X2)))),
% 6.18/1.54 inference('cnf', [status(esa)], [associative_commutative])).
% 6.18/1.54 thf(zip_derived_cl0, plain,
% 6.18/1.54 (![X0 : $i, X1 : $i, X2 : $i]:
% 6.18/1.54 ((sep @ X1 @ (sep @ X0 @ X2)) = (sep @ X0 @ (sep @ X1 @ X2)))),
% 6.18/1.54 inference('cnf', [status(esa)], [associative_commutative])).
% 6.18/1.54 thf(zip_derived_cl0, plain,
% 6.18/1.54 (![X0 : $i, X1 : $i, X2 : $i]:
% 6.18/1.54 ((sep @ X1 @ (sep @ X0 @ X2)) = (sep @ X0 @ (sep @ X1 @ X2)))),
% 6.18/1.54 inference('cnf', [status(esa)], [associative_commutative])).
% 6.18/1.54 thf(zip_derived_cl0, plain,
% 6.18/1.54 (![X0 : $i, X1 : $i, X2 : $i]:
% 6.18/1.54 ((sep @ X1 @ (sep @ X0 @ X2)) = (sep @ X0 @ (sep @ X1 @ X2)))),
% 6.18/1.54 inference('cnf', [status(esa)], [associative_commutative])).
% 6.18/1.54 thf(zip_derived_cl0, plain,
% 6.18/1.54 (![X0 : $i, X1 : $i, X2 : $i]:
% 6.18/1.54 ((sep @ X1 @ (sep @ X0 @ X2)) = (sep @ X0 @ (sep @ X1 @ X2)))),
% 6.18/1.54 inference('cnf', [status(esa)], [associative_commutative])).
% 6.18/1.54 thf(zip_derived_cl0, plain,
% 6.18/1.54 (![X0 : $i, X1 : $i, X2 : $i]:
% 6.18/1.54 ((sep @ X1 @ (sep @ X0 @ X2)) = (sep @ X0 @ (sep @ X1 @ X2)))),
% 6.18/1.54 inference('cnf', [status(esa)], [associative_commutative])).
% 6.18/1.54 thf(zip_derived_cl0, plain,
% 6.18/1.54 (![X0 : $i, X1 : $i, X2 : $i]:
% 6.18/1.54 ((sep @ X1 @ (sep @ X0 @ X2)) = (sep @ X0 @ (sep @ X1 @ X2)))),
% 6.18/1.54 inference('cnf', [status(esa)], [associative_commutative])).
% 6.18/1.54 thf(zip_derived_cl0, plain,
% 6.18/1.54 (![X0 : $i, X1 : $i, X2 : $i]:
% 6.18/1.54 ((sep @ X1 @ (sep @ X0 @ X2)) = (sep @ X0 @ (sep @ X1 @ X2)))),
% 6.18/1.54 inference('cnf', [status(esa)], [associative_commutative])).
% 6.18/1.54 thf(zip_derived_cl0, plain,
% 6.18/1.54 (![X0 : $i, X1 : $i, X2 : $i]:
% 6.18/1.54 ((sep @ X1 @ (sep @ X0 @ X2)) = (sep @ X0 @ (sep @ X1 @ X2)))),
% 6.18/1.54 inference('cnf', [status(esa)], [associative_commutative])).
% 6.18/1.54 thf(zip_derived_cl0, plain,
% 6.18/1.54 (![X0 : $i, X1 : $i, X2 : $i]:
% 6.18/1.54 ((sep @ X1 @ (sep @ X0 @ X2)) = (sep @ X0 @ (sep @ X1 @ X2)))),
% 6.18/1.54 inference('cnf', [status(esa)], [associative_commutative])).
% 6.18/1.54 thf(zip_derived_cl0, plain,
% 6.18/1.54 (![X0 : $i, X1 : $i, X2 : $i]:
% 6.18/1.54 ((sep @ X1 @ (sep @ X0 @ X2)) = (sep @ X0 @ (sep @ X1 @ X2)))),
% 6.18/1.54 inference('cnf', [status(esa)], [associative_commutative])).
% 6.18/1.54 thf(zip_derived_cl0, plain,
% 6.18/1.54 (![X0 : $i, X1 : $i, X2 : $i]:
% 6.18/1.54 ((sep @ X1 @ (sep @ X0 @ X2)) = (sep @ X0 @ (sep @ X1 @ X2)))),
% 6.18/1.54 inference('cnf', [status(esa)], [associative_commutative])).
% 6.18/1.54 thf(zip_derived_cl0, plain,
% 6.18/1.54 (![X0 : $i, X1 : $i, X2 : $i]:
% 6.18/1.54 ((sep @ X1 @ (sep @ X0 @ X2)) = (sep @ X0 @ (sep @ X1 @ X2)))),
% 6.18/1.54 inference('cnf', [status(esa)], [associative_commutative])).
% 6.18/1.54 thf(zip_derived_cl0, plain,
% 6.18/1.54 (![X0 : $i, X1 : $i, X2 : $i]:
% 6.18/1.54 ((sep @ X1 @ (sep @ X0 @ X2)) = (sep @ X0 @ (sep @ X1 @ X2)))),
% 6.18/1.54 inference('cnf', [status(esa)], [associative_commutative])).
% 6.18/1.54 thf(zip_derived_cl0, plain,
% 6.18/1.54 (![X0 : $i, X1 : $i, X2 : $i]:
% 6.18/1.54 ((sep @ X1 @ (sep @ X0 @ X2)) = (sep @ X0 @ (sep @ X1 @ X2)))),
% 6.18/1.54 inference('cnf', [status(esa)], [associative_commutative])).
% 6.18/1.54 thf(zip_derived_cl0, plain,
% 6.18/1.54 (![X0 : $i, X1 : $i, X2 : $i]:
% 6.18/1.54 ((sep @ X1 @ (sep @ X0 @ X2)) = (sep @ X0 @ (sep @ X1 @ X2)))),
% 6.18/1.54 inference('cnf', [status(esa)], [associative_commutative])).
% 6.18/1.54 thf(zip_derived_cl0, plain,
% 6.18/1.54 (![X0 : $i, X1 : $i, X2 : $i]:
% 6.18/1.54 ((sep @ X1 @ (sep @ X0 @ X2)) = (sep @ X0 @ (sep @ X1 @ X2)))),
% 6.18/1.54 inference('cnf', [status(esa)], [associative_commutative])).
% 6.18/1.54 thf(zip_derived_cl0, plain,
% 6.18/1.54 (![X0 : $i, X1 : $i, X2 : $i]:
% 6.18/1.54 ((sep @ X1 @ (sep @ X0 @ X2)) = (sep @ X0 @ (sep @ X1 @ X2)))),
% 6.18/1.54 inference('cnf', [status(esa)], [associative_commutative])).
% 6.18/1.54 thf(zip_derived_cl0, plain,
% 6.18/1.54 (![X0 : $i, X1 : $i, X2 : $i]:
% 6.18/1.54 ((sep @ X1 @ (sep @ X0 @ X2)) = (sep @ X0 @ (sep @ X1 @ X2)))),
% 6.18/1.54 inference('cnf', [status(esa)], [associative_commutative])).
% 6.18/1.54 thf(zip_derived_cl0, plain,
% 6.18/1.54 (![X0 : $i, X1 : $i, X2 : $i]:
% 6.18/1.54 ((sep @ X1 @ (sep @ X0 @ X2)) = (sep @ X0 @ (sep @ X1 @ X2)))),
% 6.18/1.54 inference('cnf', [status(esa)], [associative_commutative])).
% 6.18/1.54 thf(zip_derived_cl0, plain,
% 6.18/1.54 (![X0 : $i, X1 : $i, X2 : $i]:
% 6.18/1.54 ((sep @ X1 @ (sep @ X0 @ X2)) = (sep @ X0 @ (sep @ X1 @ X2)))),
% 6.18/1.54 inference('cnf', [status(esa)], [associative_commutative])).
% 6.18/1.54 thf(zip_derived_cl0, plain,
% 6.18/1.54 (![X0 : $i, X1 : $i, X2 : $i]:
% 6.18/1.54 ((sep @ X1 @ (sep @ X0 @ X2)) = (sep @ X0 @ (sep @ X1 @ X2)))),
% 6.18/1.54 inference('cnf', [status(esa)], [associative_commutative])).
% 6.18/1.54 thf(zip_derived_cl0, plain,
% 6.18/1.54 (![X0 : $i, X1 : $i, X2 : $i]:
% 6.18/1.54 ((sep @ X1 @ (sep @ X0 @ X2)) = (sep @ X0 @ (sep @ X1 @ X2)))),
% 6.18/1.54 inference('cnf', [status(esa)], [associative_commutative])).
% 6.18/1.54 thf(zip_derived_cl0, plain,
% 6.18/1.54 (![X0 : $i, X1 : $i, X2 : $i]:
% 6.18/1.54 ((sep @ X1 @ (sep @ X0 @ X2)) = (sep @ X0 @ (sep @ X1 @ X2)))),
% 6.18/1.54 inference('cnf', [status(esa)], [associative_commutative])).
% 6.18/1.54 thf(zip_derived_cl0, plain,
% 6.18/1.54 (![X0 : $i, X1 : $i, X2 : $i]:
% 6.18/1.54 ((sep @ X1 @ (sep @ X0 @ X2)) = (sep @ X0 @ (sep @ X1 @ X2)))),
% 6.18/1.54 inference('cnf', [status(esa)], [associative_commutative])).
% 6.18/1.54 thf(zip_derived_cl0, plain,
% 6.18/1.54 (![X0 : $i, X1 : $i, X2 : $i]:
% 6.18/1.54 ((sep @ X1 @ (sep @ X0 @ X2)) = (sep @ X0 @ (sep @ X1 @ X2)))),
% 6.18/1.54 inference('cnf', [status(esa)], [associative_commutative])).
% 6.18/1.54 thf(zip_derived_cl0, plain,
% 6.18/1.54 (![X0 : $i, X1 : $i, X2 : $i]:
% 6.18/1.54 ((sep @ X1 @ (sep @ X0 @ X2)) = (sep @ X0 @ (sep @ X1 @ X2)))),
% 6.18/1.54 inference('cnf', [status(esa)], [associative_commutative])).
% 6.18/1.54 thf(zip_derived_cl0, plain,
% 6.18/1.54 (![X0 : $i, X1 : $i, X2 : $i]:
% 6.18/1.54 ((sep @ X1 @ (sep @ X0 @ X2)) = (sep @ X0 @ (sep @ X1 @ X2)))),
% 6.18/1.54 inference('cnf', [status(esa)], [associative_commutative])).
% 6.18/1.54 thf(zip_derived_cl0, plain,
% 6.18/1.54 (![X0 : $i, X1 : $i, X2 : $i]:
% 6.18/1.54 ((sep @ X1 @ (sep @ X0 @ X2)) = (sep @ X0 @ (sep @ X1 @ X2)))),
% 6.18/1.54 inference('cnf', [status(esa)], [associative_commutative])).
% 6.18/1.54 thf(zip_derived_cl0, plain,
% 6.18/1.54 (![X0 : $i, X1 : $i, X2 : $i]:
% 6.18/1.54 ((sep @ X1 @ (sep @ X0 @ X2)) = (sep @ X0 @ (sep @ X1 @ X2)))),
% 6.18/1.54 inference('cnf', [status(esa)], [associative_commutative])).
% 6.18/1.54 thf(zip_derived_cl0, plain,
% 6.18/1.54 (![X0 : $i, X1 : $i, X2 : $i]:
% 6.18/1.54 ((sep @ X1 @ (sep @ X0 @ X2)) = (sep @ X0 @ (sep @ X1 @ X2)))),
% 6.18/1.54 inference('cnf', [status(esa)], [associative_commutative])).
% 6.18/1.54 thf(zip_derived_cl0, plain,
% 6.18/1.54 (![X0 : $i, X1 : $i, X2 : $i]:
% 6.18/1.54 ((sep @ X1 @ (sep @ X0 @ X2)) = (sep @ X0 @ (sep @ X1 @ X2)))),
% 6.18/1.54 inference('cnf', [status(esa)], [associative_commutative])).
% 6.18/1.54 thf(zip_derived_cl0, plain,
% 6.18/1.54 (![X0 : $i, X1 : $i, X2 : $i]:
% 6.18/1.54 ((sep @ X1 @ (sep @ X0 @ X2)) = (sep @ X0 @ (sep @ X1 @ X2)))),
% 6.18/1.54 inference('cnf', [status(esa)], [associative_commutative])).
% 6.18/1.54 thf(zip_derived_cl0, plain,
% 6.18/1.54 (![X0 : $i, X1 : $i, X2 : $i]:
% 6.18/1.54 ((sep @ X1 @ (sep @ X0 @ X2)) = (sep @ X0 @ (sep @ X1 @ X2)))),
% 6.18/1.54 inference('cnf', [status(esa)], [associative_commutative])).
% 6.18/1.54 thf(zip_derived_cl0, plain,
% 6.18/1.54 (![X0 : $i, X1 : $i, X2 : $i]:
% 6.18/1.54 ((sep @ X1 @ (sep @ X0 @ X2)) = (sep @ X0 @ (sep @ X1 @ X2)))),
% 6.18/1.54 inference('cnf', [status(esa)], [associative_commutative])).
% 6.18/1.54 thf(zip_derived_cl0, plain,
% 6.18/1.54 (![X0 : $i, X1 : $i, X2 : $i]:
% 6.18/1.54 ((sep @ X1 @ (sep @ X0 @ X2)) = (sep @ X0 @ (sep @ X1 @ X2)))),
% 6.18/1.54 inference('cnf', [status(esa)], [associative_commutative])).
% 6.18/1.54 thf(zip_derived_cl0, plain,
% 6.18/1.54 (![X0 : $i, X1 : $i, X2 : $i]:
% 6.18/1.54 ((sep @ X1 @ (sep @ X0 @ X2)) = (sep @ X0 @ (sep @ X1 @ X2)))),
% 6.18/1.54 inference('cnf', [status(esa)], [associative_commutative])).
% 6.18/1.54 thf(zip_derived_cl0, plain,
% 6.18/1.54 (![X0 : $i, X1 : $i, X2 : $i]:
% 6.18/1.54 ((sep @ X1 @ (sep @ X0 @ X2)) = (sep @ X0 @ (sep @ X1 @ X2)))),
% 6.18/1.54 inference('cnf', [status(esa)], [associative_commutative])).
% 6.18/1.54 thf(zip_derived_cl0, plain,
% 6.18/1.54 (![X0 : $i, X1 : $i, X2 : $i]:
% 6.18/1.54 ((sep @ X1 @ (sep @ X0 @ X2)) = (sep @ X0 @ (sep @ X1 @ X2)))),
% 6.18/1.54 inference('cnf', [status(esa)], [associative_commutative])).
% 6.18/1.54 thf(zip_derived_cl0, plain,
% 6.18/1.54 (![X0 : $i, X1 : $i, X2 : $i]:
% 6.18/1.54 ((sep @ X1 @ (sep @ X0 @ X2)) = (sep @ X0 @ (sep @ X1 @ X2)))),
% 6.18/1.54 inference('cnf', [status(esa)], [associative_commutative])).
% 6.18/1.54 thf(zip_derived_cl0, plain,
% 6.18/1.54 (![X0 : $i, X1 : $i, X2 : $i]:
% 6.18/1.54 ((sep @ X1 @ (sep @ X0 @ X2)) = (sep @ X0 @ (sep @ X1 @ X2)))),
% 6.18/1.54 inference('cnf', [status(esa)], [associative_commutative])).
% 6.18/1.54 thf(zip_derived_cl34, plain,
% 6.18/1.54 ( (heap @
% 6.18/1.54 (sep @ (lseg @ x11 @ x12) @
% 6.18/1.54 (sep @ (lseg @ x11 @ x1) @
% 6.18/1.54 (sep @ (lseg @ x1 @ x11) @
% 6.18/1.54 (sep @ (lseg @ x4 @ x9) @
% 6.18/1.54 (sep @ (lseg @ x11 @ x7) @
% 6.18/1.54 (sep @ (lseg @ x12 @ x7) @
% 6.18/1.54 (sep @ (lseg @ x9 @ x2) @
% 6.18/1.54 (sep @ (lseg @ x2 @ x9) @
% 6.18/1.54 (sep @ (lseg @ x7 @ x10) @
% 6.18/1.54 (sep @ (lseg @ x10 @ x8) @
% 6.18/1.54 (sep @ (lseg @ x13 @ x8) @ (sep @ (lseg @ x5 @ x3) @ emp)))))))))))))),
% 6.18/1.54 inference('demod', [status(thm)],
% 6.18/1.54 [zip_derived_cl23, zip_derived_cl0, zip_derived_cl0,
% 6.18/1.54 zip_derived_cl0, zip_derived_cl0, zip_derived_cl0,
% 6.18/1.54 zip_derived_cl0, zip_derived_cl0, zip_derived_cl0,
% 6.18/1.54 zip_derived_cl0, zip_derived_cl0, zip_derived_cl0,
% 6.18/1.54 zip_derived_cl0, zip_derived_cl0, zip_derived_cl0,
% 6.18/1.54 zip_derived_cl0, zip_derived_cl0, zip_derived_cl0,
% 6.18/1.54 zip_derived_cl0, zip_derived_cl0, zip_derived_cl0,
% 6.18/1.54 zip_derived_cl0, zip_derived_cl0, zip_derived_cl0,
% 6.18/1.54 zip_derived_cl0, zip_derived_cl0, zip_derived_cl0,
% 6.18/1.54 zip_derived_cl0, zip_derived_cl0, zip_derived_cl0,
% 6.18/1.54 zip_derived_cl0, zip_derived_cl0, zip_derived_cl0,
% 6.18/1.54 zip_derived_cl0, zip_derived_cl0, zip_derived_cl0,
% 6.18/1.54 zip_derived_cl0, zip_derived_cl0, zip_derived_cl0,
% 6.18/1.54 zip_derived_cl0, zip_derived_cl0, zip_derived_cl0,
% 6.18/1.54 zip_derived_cl0, zip_derived_cl0, zip_derived_cl0,
% 6.18/1.54 zip_derived_cl0, zip_derived_cl0, zip_derived_cl0,
% 6.18/1.54 zip_derived_cl0])).
% 6.18/1.54 thf(zip_derived_cl34, plain,
% 6.18/1.54 ( (heap @
% 6.18/1.54 (sep @ (lseg @ x11 @ x12) @
% 6.18/1.54 (sep @ (lseg @ x11 @ x1) @
% 6.18/1.54 (sep @ (lseg @ x1 @ x11) @
% 6.18/1.54 (sep @ (lseg @ x4 @ x9) @
% 6.18/1.54 (sep @ (lseg @ x11 @ x7) @
% 6.18/1.54 (sep @ (lseg @ x12 @ x7) @
% 6.18/1.54 (sep @ (lseg @ x9 @ x2) @
% 6.18/1.54 (sep @ (lseg @ x2 @ x9) @
% 6.18/1.54 (sep @ (lseg @ x7 @ x10) @
% 6.18/1.54 (sep @ (lseg @ x10 @ x8) @
% 6.18/1.54 (sep @ (lseg @ x13 @ x8) @ (sep @ (lseg @ x5 @ x3) @ emp)))))))))))))),
% 6.18/1.54 inference('demod', [status(thm)],
% 6.18/1.54 [zip_derived_cl23, zip_derived_cl0, zip_derived_cl0,
% 6.18/1.54 zip_derived_cl0, zip_derived_cl0, zip_derived_cl0,
% 6.18/1.54 zip_derived_cl0, zip_derived_cl0, zip_derived_cl0,
% 6.18/1.54 zip_derived_cl0, zip_derived_cl0, zip_derived_cl0,
% 6.18/1.54 zip_derived_cl0, zip_derived_cl0, zip_derived_cl0,
% 6.18/1.54 zip_derived_cl0, zip_derived_cl0, zip_derived_cl0,
% 6.18/1.54 zip_derived_cl0, zip_derived_cl0, zip_derived_cl0,
% 6.18/1.54 zip_derived_cl0, zip_derived_cl0, zip_derived_cl0,
% 6.18/1.54 zip_derived_cl0, zip_derived_cl0, zip_derived_cl0,
% 6.18/1.54 zip_derived_cl0, zip_derived_cl0, zip_derived_cl0,
% 6.18/1.54 zip_derived_cl0, zip_derived_cl0, zip_derived_cl0,
% 6.18/1.54 zip_derived_cl0, zip_derived_cl0, zip_derived_cl0,
% 6.18/1.54 zip_derived_cl0, zip_derived_cl0, zip_derived_cl0,
% 6.18/1.54 zip_derived_cl0, zip_derived_cl0, zip_derived_cl0,
% 6.18/1.54 zip_derived_cl0, zip_derived_cl0, zip_derived_cl0,
% 6.18/1.54 zip_derived_cl0, zip_derived_cl0, zip_derived_cl0,
% 6.18/1.54 zip_derived_cl0])).
% 6.18/1.54 thf(wellformedness_5, axiom,
% 6.18/1.54 (( ~( heap @
% 6.18/1.54 ( sep @ ( lseg @ X @ Y ) @ ( sep @ ( lseg @ X @ Z ) @ Sigma ) ) ) ) |
% 6.18/1.54 ( ( X ) = ( Y ) ) | ( ( X ) = ( Z ) ))).
% 6.18/1.54 thf(zip_derived_cl6, plain,
% 6.18/1.54 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 6.18/1.54 (~ (heap @ (sep @ (lseg @ X0 @ X1) @ (sep @ (lseg @ X0 @ X2) @ X3)))
% 6.18/1.54 | ((X0) = (X1))
% 6.18/1.54 | ((X0) = (X2)))),
% 6.18/1.54 inference('cnf', [status(esa)], [wellformedness_5])).
% 6.18/1.54 thf(zip_derived_cl57, plain, ((((x11) = (x1)) | ((x11) = (x12)))),
% 6.18/1.54 inference('sup-', [status(thm)], [zip_derived_cl34, zip_derived_cl6])).
% 6.18/1.54 thf(zip_derived_cl57, plain, ((((x11) = (x1)) | ((x11) = (x12)))),
% 6.18/1.54 inference('sup-', [status(thm)], [zip_derived_cl34, zip_derived_cl6])).
% 6.18/1.54 thf(zip_derived_cl34, plain,
% 6.18/1.54 ( (heap @
% 6.18/1.54 (sep @ (lseg @ x11 @ x12) @
% 6.18/1.54 (sep @ (lseg @ x11 @ x1) @
% 6.18/1.54 (sep @ (lseg @ x1 @ x11) @
% 6.18/1.54 (sep @ (lseg @ x4 @ x9) @
% 6.18/1.54 (sep @ (lseg @ x11 @ x7) @
% 6.18/1.54 (sep @ (lseg @ x12 @ x7) @
% 6.18/1.54 (sep @ (lseg @ x9 @ x2) @
% 6.18/1.54 (sep @ (lseg @ x2 @ x9) @
% 6.18/1.54 (sep @ (lseg @ x7 @ x10) @
% 6.18/1.54 (sep @ (lseg @ x10 @ x8) @
% 6.18/1.54 (sep @ (lseg @ x13 @ x8) @ (sep @ (lseg @ x5 @ x3) @ emp)))))))))))))),
% 6.18/1.54 inference('demod', [status(thm)],
% 6.18/1.54 [zip_derived_cl23, zip_derived_cl0, zip_derived_cl0,
% 6.18/1.54 zip_derived_cl0, zip_derived_cl0, zip_derived_cl0,
% 6.18/1.54 zip_derived_cl0, zip_derived_cl0, zip_derived_cl0,
% 6.18/1.54 zip_derived_cl0, zip_derived_cl0, zip_derived_cl0,
% 6.18/1.54 zip_derived_cl0, zip_derived_cl0, zip_derived_cl0,
% 6.18/1.54 zip_derived_cl0, zip_derived_cl0, zip_derived_cl0,
% 6.18/1.54 zip_derived_cl0, zip_derived_cl0, zip_derived_cl0,
% 6.18/1.54 zip_derived_cl0, zip_derived_cl0, zip_derived_cl0,
% 6.18/1.54 zip_derived_cl0, zip_derived_cl0, zip_derived_cl0,
% 6.18/1.54 zip_derived_cl0, zip_derived_cl0, zip_derived_cl0,
% 6.18/1.54 zip_derived_cl0, zip_derived_cl0, zip_derived_cl0,
% 6.18/1.54 zip_derived_cl0, zip_derived_cl0, zip_derived_cl0,
% 6.18/1.54 zip_derived_cl0, zip_derived_cl0, zip_derived_cl0,
% 6.18/1.54 zip_derived_cl0, zip_derived_cl0, zip_derived_cl0,
% 6.18/1.54 zip_derived_cl0, zip_derived_cl0, zip_derived_cl0,
% 6.18/1.54 zip_derived_cl0, zip_derived_cl0, zip_derived_cl0,
% 6.18/1.54 zip_derived_cl0])).
% 6.18/1.54 thf(zip_derived_cl94, plain,
% 6.18/1.54 (( (heap @
% 6.18/1.54 (sep @ (lseg @ x11 @ x12) @
% 6.18/1.54 (sep @ (lseg @ x11 @ x1) @
% 6.18/1.54 (sep @ (lseg @ x11 @ x11) @
% 6.18/1.54 (sep @ (lseg @ x4 @ x9) @
% 6.18/1.54 (sep @ (lseg @ x11 @ x7) @
% 6.18/1.54 (sep @ (lseg @ x12 @ x7) @
% 6.18/1.54 (sep @ (lseg @ x9 @ x2) @
% 6.18/1.54 (sep @ (lseg @ x2 @ x9) @
% 6.18/1.54 (sep @ (lseg @ x7 @ x10) @
% 6.18/1.54 (sep @ (lseg @ x10 @ x8) @
% 6.18/1.54 (sep @ (lseg @ x13 @ x8) @ (sep @ (lseg @ x5 @ x3) @ emp)))))))))))))
% 6.18/1.54 | ((x11) = (x12)))),
% 6.18/1.54 inference('sup+', [status(thm)], [zip_derived_cl57, zip_derived_cl34])).
% 6.18/1.54 thf(normalization, axiom, (( sep @ ( lseg @ X @ X ) @ Sigma ) = ( Sigma ))).
% 6.18/1.54 thf(zip_derived_cl1, plain,
% 6.18/1.54 (![X0 : $i, X1 : $i]: ((sep @ (lseg @ X1 @ X1) @ X0) = (X0))),
% 6.18/1.54 inference('cnf', [status(esa)], [normalization])).
% 6.18/1.54 thf(zip_derived_cl96, plain,
% 6.18/1.54 (( (heap @
% 6.18/1.54 (sep @ (lseg @ x11 @ x12) @
% 6.18/1.54 (sep @ (lseg @ x11 @ x1) @
% 6.18/1.54 (sep @ (lseg @ x4 @ x9) @
% 6.18/1.54 (sep @ (lseg @ x11 @ x7) @
% 6.18/1.54 (sep @ (lseg @ x12 @ x7) @
% 6.18/1.54 (sep @ (lseg @ x9 @ x2) @
% 6.18/1.54 (sep @ (lseg @ x2 @ x9) @
% 6.18/1.54 (sep @ (lseg @ x7 @ x10) @
% 6.18/1.54 (sep @ (lseg @ x10 @ x8) @
% 6.18/1.54 (sep @ (lseg @ x13 @ x8) @ (sep @ (lseg @ x5 @ x3) @ emp))))))))))))
% 6.18/1.54 | ((x11) = (x12)))),
% 6.18/1.54 inference('demod', [status(thm)], [zip_derived_cl94, zip_derived_cl1])).
% 6.18/1.54 thf(zip_derived_cl109, plain,
% 6.18/1.54 (( (heap @
% 6.18/1.54 (sep @ (lseg @ x11 @ x12) @
% 6.18/1.54 (sep @ (lseg @ x11 @ x11) @
% 6.18/1.54 (sep @ (lseg @ x4 @ x9) @
% 6.18/1.54 (sep @ (lseg @ x11 @ x7) @
% 6.18/1.54 (sep @ (lseg @ x12 @ x7) @
% 6.18/1.54 (sep @ (lseg @ x9 @ x2) @
% 6.18/1.54 (sep @ (lseg @ x2 @ x9) @
% 6.18/1.54 (sep @ (lseg @ x7 @ x10) @
% 6.18/1.54 (sep @ (lseg @ x10 @ x8) @
% 6.18/1.54 (sep @ (lseg @ x13 @ x8) @ (sep @ (lseg @ x5 @ x3) @ emp))))))))))))
% 6.18/1.54 | ((x11) = (x12))
% 6.18/1.54 | ((x11) = (x12)))),
% 6.18/1.54 inference('sup+', [status(thm)], [zip_derived_cl57, zip_derived_cl96])).
% 6.18/1.54 thf(zip_derived_cl1, plain,
% 6.18/1.54 (![X0 : $i, X1 : $i]: ((sep @ (lseg @ X1 @ X1) @ X0) = (X0))),
% 6.18/1.54 inference('cnf', [status(esa)], [normalization])).
% 6.18/1.54 thf(zip_derived_cl110, plain,
% 6.18/1.54 (( (heap @
% 6.18/1.54 (sep @ (lseg @ x11 @ x12) @
% 6.18/1.54 (sep @ (lseg @ x4 @ x9) @
% 6.18/1.54 (sep @ (lseg @ x11 @ x7) @
% 6.18/1.54 (sep @ (lseg @ x12 @ x7) @
% 6.18/1.54 (sep @ (lseg @ x9 @ x2) @
% 6.18/1.54 (sep @ (lseg @ x2 @ x9) @
% 6.18/1.54 (sep @ (lseg @ x7 @ x10) @
% 6.18/1.54 (sep @ (lseg @ x10 @ x8) @
% 6.18/1.54 (sep @ (lseg @ x13 @ x8) @ (sep @ (lseg @ x5 @ x3) @ emp)))))))))))
% 6.18/1.54 | ((x11) = (x12))
% 6.18/1.54 | ((x11) = (x12)))),
% 6.18/1.54 inference('demod', [status(thm)], [zip_derived_cl109, zip_derived_cl1])).
% 6.18/1.54 thf(zip_derived_cl111, plain,
% 6.18/1.54 ((((x11) = (x12))
% 6.18/1.54 | (heap @
% 6.18/1.54 (sep @ (lseg @ x11 @ x12) @
% 6.18/1.54 (sep @ (lseg @ x4 @ x9) @
% 6.18/1.54 (sep @ (lseg @ x11 @ x7) @
% 6.18/1.54 (sep @ (lseg @ x12 @ x7) @
% 6.18/1.54 (sep @ (lseg @ x9 @ x2) @
% 6.18/1.54 (sep @ (lseg @ x2 @ x9) @
% 6.18/1.54 (sep @ (lseg @ x7 @ x10) @
% 6.18/1.54 (sep @ (lseg @ x10 @ x8) @
% 6.18/1.54 (sep @ (lseg @ x13 @ x8) @ (sep @ (lseg @ x5 @ x3) @ emp))))))))))))),
% 6.18/1.54 inference('simplify', [status(thm)], [zip_derived_cl110])).
% 6.18/1.54 thf(zip_derived_cl0, plain,
% 6.18/1.54 (![X0 : $i, X1 : $i, X2 : $i]:
% 6.18/1.54 ((sep @ X1 @ (sep @ X0 @ X2)) = (sep @ X0 @ (sep @ X1 @ X2)))),
% 6.18/1.54 inference('cnf', [status(esa)], [associative_commutative])).
% 6.18/1.54 thf(zip_derived_cl6, plain,
% 6.18/1.54 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 6.18/1.54 (~ (heap @ (sep @ (lseg @ X0 @ X1) @ (sep @ (lseg @ X0 @ X2) @ X3)))
% 6.18/1.54 | ((X0) = (X1))
% 6.18/1.54 | ((X0) = (X2)))),
% 6.18/1.54 inference('cnf', [status(esa)], [wellformedness_5])).
% 6.18/1.54 thf(zip_derived_cl60, plain,
% 6.18/1.54 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i]:
% 6.18/1.54 (~ (heap @
% 6.18/1.54 (sep @ (lseg @ X2 @ X4) @
% 6.18/1.54 (sep @ X3 @ (sep @ (lseg @ X2 @ X1) @ X0))))
% 6.18/1.54 | ((X2) = (X1))
% 6.18/1.54 | ((X2) = (X4)))),
% 6.18/1.54 inference('sup-', [status(thm)], [zip_derived_cl0, zip_derived_cl6])).
% 6.18/1.54 thf(zip_derived_cl497, plain,
% 6.18/1.54 ((((x11) = (x12)) | ((x11) = (x12)) | ((x11) = (x7)))),
% 6.18/1.54 inference('sup-', [status(thm)], [zip_derived_cl111, zip_derived_cl60])).
% 6.18/1.54 thf(zip_derived_cl513, plain, ((((x11) = (x7)) | ((x11) = (x12)))),
% 6.18/1.54 inference('simplify', [status(thm)], [zip_derived_cl497])).
% 6.18/1.54 thf(premise_7, axiom, (( x7 ) != ( x11 ))).
% 6.18/1.54 thf(zip_derived_cl17, plain, (((x7) != (x11))),
% 6.18/1.54 inference('cnf', [status(esa)], [premise_7])).
% 6.18/1.54 thf(zip_derived_cl514, plain, (((x11) = (x12))),
% 6.18/1.54 inference('simplify_reflect-', [status(thm)],
% 6.18/1.54 [zip_derived_cl513, zip_derived_cl17])).
% 6.18/1.54 thf(zip_derived_cl514, plain, (((x11) = (x12))),
% 6.18/1.54 inference('simplify_reflect-', [status(thm)],
% 6.18/1.54 [zip_derived_cl513, zip_derived_cl17])).
% 6.18/1.54 thf(zip_derived_cl1, plain,
% 6.18/1.54 (![X0 : $i, X1 : $i]: ((sep @ (lseg @ X1 @ X1) @ X0) = (X0))),
% 6.18/1.54 inference('cnf', [status(esa)], [normalization])).
% 6.18/1.54 thf(zip_derived_cl516, plain,
% 6.18/1.54 ( (heap @
% 6.18/1.54 (sep @ (lseg @ x11 @ x1) @
% 6.18/1.54 (sep @ (lseg @ x1 @ x11) @
% 6.18/1.54 (sep @ (lseg @ x4 @ x9) @
% 6.18/1.54 (sep @ (lseg @ x11 @ x7) @
% 6.18/1.54 (sep @ (lseg @ x11 @ x7) @
% 6.18/1.54 (sep @ (lseg @ x9 @ x2) @
% 6.18/1.54 (sep @ (lseg @ x2 @ x9) @
% 6.18/1.54 (sep @ (lseg @ x7 @ x10) @
% 6.18/1.54 (sep @ (lseg @ x10 @ x8) @
% 6.18/1.54 (sep @ (lseg @ x13 @ x8) @ (sep @ (lseg @ x5 @ x3) @ emp))))))))))))),
% 6.18/1.54 inference('demod', [status(thm)],
% 6.18/1.54 [zip_derived_cl34, zip_derived_cl514, zip_derived_cl514,
% 6.18/1.54 zip_derived_cl1])).
% 6.18/1.54 thf(zip_derived_cl0, plain,
% 6.18/1.54 (![X0 : $i, X1 : $i, X2 : $i]:
% 6.18/1.54 ((sep @ X1 @ (sep @ X0 @ X2)) = (sep @ X0 @ (sep @ X1 @ X2)))),
% 6.18/1.54 inference('cnf', [status(esa)], [associative_commutative])).
% 6.18/1.54 thf(unfolding_5, axiom,
% 6.18/1.54 (( ~( heap @
% 6.18/1.54 ( sep @
% 6.18/1.54 ( lseg @ X @ Y ) @
% 6.18/1.54 ( sep @ ( lseg @ Y @ Z ) @ ( sep @ ( lseg @ Z @ W ) @ Sigma ) ) ) ) ) |
% 6.18/1.54 ( ( Z ) = ( W ) ) |
% 6.18/1.54 ( heap @ ( sep @ ( lseg @ X @ Z ) @ ( sep @ ( lseg @ Z @ W ) @ Sigma ) ) ))).
% 6.18/1.54 thf(zip_derived_cl10, plain,
% 6.18/1.54 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i]:
% 6.18/1.54 (~ (heap @
% 6.18/1.54 (sep @ (lseg @ X0 @ X1) @
% 6.18/1.54 (sep @ (lseg @ X1 @ X2) @ (sep @ (lseg @ X2 @ X3) @ X4))))
% 6.18/1.54 | ((X2) = (X3))
% 6.18/1.54 | (heap @ (sep @ (lseg @ X0 @ X2) @ (sep @ (lseg @ X2 @ X3) @ X4))))),
% 6.18/1.54 inference('cnf', [status(esa)], [unfolding_5])).
% 6.18/1.54 thf(zip_derived_cl104, plain,
% 6.18/1.54 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i]:
% 6.18/1.54 (~ (heap @
% 6.18/1.54 (sep @ (lseg @ X5 @ X4) @
% 6.18/1.54 (sep @ (lseg @ X4 @ X2) @
% 6.18/1.54 (sep @ X3 @ (sep @ (lseg @ X2 @ X1) @ X0)))))
% 6.18/1.54 | (heap @
% 6.18/1.54 (sep @ (lseg @ X5 @ X2) @
% 6.18/1.54 (sep @ (lseg @ X2 @ X1) @ (sep @ X3 @ X0))))
% 6.18/1.54 | ((X2) = (X1)))),
% 6.18/1.54 inference('sup-', [status(thm)], [zip_derived_cl0, zip_derived_cl10])).
% 6.18/1.54 thf(zip_derived_cl1304, plain,
% 6.18/1.54 ((((x11) = (x7))
% 6.18/1.54 | (heap @
% 6.18/1.54 (sep @ (lseg @ x11 @ x11) @
% 6.18/1.54 (sep @ (lseg @ x11 @ x7) @
% 6.18/1.54 (sep @ (lseg @ x4 @ x9) @
% 6.18/1.54 (sep @ (lseg @ x11 @ x7) @
% 6.18/1.55 (sep @ (lseg @ x9 @ x2) @
% 6.18/1.55 (sep @ (lseg @ x2 @ x9) @
% 6.18/1.55 (sep @ (lseg @ x7 @ x10) @
% 6.18/1.55 (sep @ (lseg @ x10 @ x8) @
% 6.18/1.55 (sep @ (lseg @ x13 @ x8) @ (sep @ (lseg @ x5 @ x3) @ emp))))))))))))),
% 6.18/1.55 inference('sup-', [status(thm)], [zip_derived_cl516, zip_derived_cl104])).
% 6.18/1.55 thf(zip_derived_cl0, plain,
% 6.18/1.55 (![X0 : $i, X1 : $i, X2 : $i]:
% 6.18/1.55 ((sep @ X1 @ (sep @ X0 @ X2)) = (sep @ X0 @ (sep @ X1 @ X2)))),
% 6.18/1.55 inference('cnf', [status(esa)], [associative_commutative])).
% 6.18/1.55 thf(zip_derived_cl1, plain,
% 6.18/1.55 (![X0 : $i, X1 : $i]: ((sep @ (lseg @ X1 @ X1) @ X0) = (X0))),
% 6.18/1.55 inference('cnf', [status(esa)], [normalization])).
% 6.18/1.55 thf(zip_derived_cl1333, plain,
% 6.18/1.55 ((((x11) = (x7))
% 6.18/1.55 | (heap @
% 6.18/1.55 (sep @ (lseg @ x4 @ x9) @
% 6.18/1.55 (sep @ (lseg @ x11 @ x7) @
% 6.18/1.55 (sep @ (lseg @ x11 @ x7) @
% 6.18/1.55 (sep @ (lseg @ x9 @ x2) @
% 6.18/1.55 (sep @ (lseg @ x2 @ x9) @
% 6.18/1.55 (sep @ (lseg @ x7 @ x10) @
% 6.18/1.55 (sep @ (lseg @ x10 @ x8) @
% 6.18/1.55 (sep @ (lseg @ x13 @ x8) @ (sep @ (lseg @ x5 @ x3) @ emp)))))))))))),
% 6.18/1.55 inference('demod', [status(thm)],
% 6.18/1.55 [zip_derived_cl1304, zip_derived_cl0, zip_derived_cl1])).
% 6.18/1.55 thf(zip_derived_cl17, plain, (((x7) != (x11))),
% 6.18/1.55 inference('cnf', [status(esa)], [premise_7])).
% 6.18/1.55 thf(zip_derived_cl1334, plain,
% 6.18/1.55 ( (heap @
% 6.18/1.55 (sep @ (lseg @ x4 @ x9) @
% 6.18/1.55 (sep @ (lseg @ x11 @ x7) @
% 6.18/1.55 (sep @ (lseg @ x11 @ x7) @
% 6.18/1.55 (sep @ (lseg @ x9 @ x2) @
% 6.18/1.55 (sep @ (lseg @ x2 @ x9) @
% 6.18/1.55 (sep @ (lseg @ x7 @ x10) @
% 6.18/1.55 (sep @ (lseg @ x10 @ x8) @
% 6.18/1.55 (sep @ (lseg @ x13 @ x8) @ (sep @ (lseg @ x5 @ x3) @ emp))))))))))),
% 6.18/1.55 inference('simplify_reflect-', [status(thm)],
% 6.18/1.55 [zip_derived_cl1333, zip_derived_cl17])).
% 6.18/1.55 thf(zip_derived_cl0, plain,
% 6.18/1.55 (![X0 : $i, X1 : $i, X2 : $i]:
% 6.18/1.55 ((sep @ X1 @ (sep @ X0 @ X2)) = (sep @ X0 @ (sep @ X1 @ X2)))),
% 6.18/1.55 inference('cnf', [status(esa)], [associative_commutative])).
% 6.18/1.55 thf(zip_derived_cl0, plain,
% 6.18/1.55 (![X0 : $i, X1 : $i, X2 : $i]:
% 6.18/1.55 ((sep @ X1 @ (sep @ X0 @ X2)) = (sep @ X0 @ (sep @ X1 @ X2)))),
% 6.18/1.55 inference('cnf', [status(esa)], [associative_commutative])).
% 6.18/1.55 thf(zip_derived_cl25, plain,
% 6.18/1.55 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 6.18/1.55 ((sep @ X1 @ (sep @ X3 @ (sep @ X2 @ X0)))
% 6.18/1.55 = (sep @ X3 @ (sep @ X2 @ (sep @ X1 @ X0))))),
% 6.18/1.55 inference('sup+', [status(thm)], [zip_derived_cl0, zip_derived_cl0])).
% 6.18/1.55 thf(zip_derived_cl6, plain,
% 6.18/1.55 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 6.18/1.55 (~ (heap @ (sep @ (lseg @ X0 @ X1) @ (sep @ (lseg @ X0 @ X2) @ X3)))
% 6.18/1.55 | ((X0) = (X1))
% 6.18/1.55 | ((X0) = (X2)))),
% 6.18/1.55 inference('cnf', [status(esa)], [wellformedness_5])).
% 6.18/1.55 thf(zip_derived_cl165, plain,
% 6.18/1.55 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i]:
% 6.18/1.55 (~ (heap @
% 6.18/1.55 (sep @ X4 @
% 6.18/1.55 (sep @ (lseg @ X2 @ X3) @ (sep @ (lseg @ X2 @ X1) @ X0))))
% 6.18/1.55 | ((X2) = (X1))
% 6.18/1.55 | ((X2) = (X3)))),
% 6.18/1.55 inference('sup-', [status(thm)], [zip_derived_cl25, zip_derived_cl6])).
% 6.18/1.55 thf(zip_derived_cl1337, plain, ((((x11) = (x7)) | ((x11) = (x7)))),
% 6.18/1.55 inference('sup-', [status(thm)], [zip_derived_cl1334, zip_derived_cl165])).
% 6.18/1.55 thf(zip_derived_cl1340, plain, (((x11) = (x7))),
% 6.18/1.55 inference('simplify', [status(thm)], [zip_derived_cl1337])).
% 6.18/1.55 thf(zip_derived_cl17, plain, (((x7) != (x11))),
% 6.18/1.55 inference('cnf', [status(esa)], [premise_7])).
% 6.18/1.55 thf(zip_derived_cl1341, plain, ($false),
% 6.18/1.55 inference('simplify_reflect-', [status(thm)],
% 6.18/1.55 [zip_derived_cl1340, zip_derived_cl17])).
% 6.18/1.55
% 6.18/1.55 % SZS output end Refutation
% 6.18/1.55
% 6.18/1.55
% 6.18/1.55 % Terminating...
% 6.18/1.59 % Runner terminated.
% 6.21/1.61 % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------