%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : SWW430-1 : TPTP v9.2.0. Released v5.2.0.
% Transfm : none
% Format : tptp:raw
% Command : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.olQ8tmsEqR true
% Computer : n025.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Thu Oct 2 05:02:47 PM UTC 2025
% Result : Unsatisfiable 0.58s 0.82s
% Output : Refutation 0.58s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.13 % Problem : SWW430-1 : TPTP v9.2.0. Released v5.2.0.
% 0.07/0.14 % Command : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.olQ8tmsEqR true
% 0.14/0.35 % Computer : n025.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 : Wed Oct 1 11:58:53 EDT 2025
% 0.14/0.35 % CPUTime :
% 0.14/0.35 % Running portfolio for 300 s
% 0.14/0.35 % File : /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.14/0.35 % Number of cores: 8
% 0.14/0.36 % Python version: Python 3.6.8
% 0.14/0.36 % Running in FO mode
% 0.55/0.65 % Total configuration time : 435
% 0.55/0.65 % Estimated wc time : 1092
% 0.55/0.65 % Estimated cpu time (7 cpus) : 156.0
% 0.56/0.71 % /export/starexec/sandbox/solver/bin/fo/fo6_bce.sh running for 75s
% 0.56/0.73 % /export/starexec/sandbox/solver/bin/fo/fo3_bce.sh running for 75s
% 0.56/0.76 % /export/starexec/sandbox/solver/bin/fo/fo1_av.sh running for 75s
% 0.58/0.77 % /export/starexec/sandbox/solver/bin/fo/fo13.sh running for 50s
% 0.58/0.77 % /export/starexec/sandbox/solver/bin/fo/fo4.sh running for 50s
% 0.58/0.77 % /export/starexec/sandbox/solver/bin/fo/fo7.sh running for 63s
% 0.58/0.77 % /export/starexec/sandbox/solver/bin/fo/fo5.sh running for 50s
% 0.58/0.82 % Solved by fo/fo6_bce.sh.
% 0.58/0.82 % BCE start: 18
% 0.58/0.82 % BCE eliminated: 1
% 0.58/0.82 % PE start: 17
% 0.58/0.82 logic: eq
% 0.58/0.82 % PE eliminated: 0
% 0.58/0.82 % done 47 iterations in 0.086s
% 0.58/0.82 % SZS status Theorem for '/export/starexec/sandbox/benchmark/theBenchmark.p'
% 0.58/0.82 % SZS output start Refutation
% 0.58/0.82 thf(lseg_type, type, lseg: $i > $i > $i).
% 0.58/0.82 thf(x2_type, type, x2: $i).
% 0.58/0.82 thf(x7_type, type, x7: $i).
% 0.58/0.82 thf(x8_type, type, x8: $i).
% 0.58/0.82 thf(x12_type, type, x12: $i).
% 0.58/0.82 thf(x5_type, type, x5: $i).
% 0.58/0.82 thf(x4_type, type, x4: $i).
% 0.58/0.82 thf(x1_type, type, x1: $i).
% 0.58/0.82 thf(x3_type, type, x3: $i).
% 0.58/0.82 thf(x11_type, type, x11: $i).
% 0.58/0.82 thf(sep_type, type, sep: $i > $i > $i).
% 0.58/0.82 thf(x9_type, type, x9: $i).
% 0.58/0.82 thf(emp_type, type, emp: $i).
% 0.58/0.82 thf(x6_type, type, x6: $i).
% 0.58/0.82 thf(heap_type, type, heap: $i > $o).
% 0.58/0.82 thf(x10_type, type, x10: $i).
% 0.58/0.82 thf(premise_6, axiom,
% 0.58/0.82 (heap @
% 0.58/0.82 ( sep @
% 0.58/0.82 ( lseg @ x5 @ x2 ) @
% 0.58/0.82 ( sep @
% 0.58/0.82 ( lseg @ x5 @ x7 ) @
% 0.58/0.82 ( sep @
% 0.58/0.82 ( lseg @ x5 @ x4 ) @
% 0.58/0.82 ( sep @
% 0.58/0.82 ( lseg @ x12 @ x1 ) @
% 0.58/0.82 ( sep @
% 0.58/0.82 ( lseg @ x12 @ x6 ) @
% 0.58/0.82 ( sep @
% 0.58/0.82 ( lseg @ x2 @ x12 ) @
% 0.58/0.82 ( sep @
% 0.58/0.82 ( lseg @ x9 @ x10 ) @
% 0.58/0.82 ( sep @
% 0.58/0.82 ( lseg @ x3 @ x11 ) @
% 0.58/0.82 ( sep @
% 0.58/0.82 ( lseg @ x3 @ x1 ) @
% 0.58/0.82 ( sep @
% 0.58/0.82 ( lseg @ x3 @ x6 ) @
% 0.58/0.82 ( sep @
% 0.58/0.82 ( lseg @ x4 @ x9 ) @
% 0.58/0.82 ( sep @
% 0.58/0.82 ( lseg @ x4 @ x8 ) @
% 0.58/0.82 ( sep @
% 0.58/0.82 ( lseg @ x11 @ x8 ) @
% 0.58/0.82 ( sep @
% 0.58/0.82 ( lseg @ x11 @ x6 ) @
% 0.58/0.82 ( sep @
% 0.58/0.82 ( lseg @ x1 @ x9 ) @
% 0.58/0.82 ( sep @
% 0.58/0.82 ( lseg @ x1 @ x8 ) @
% 0.58/0.82 ( sep @ ( lseg @ x6 @ x2 ) @ emp ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ))).
% 0.58/0.82 thf(zip_derived_cl16, plain,
% 0.58/0.82 ( (heap @
% 0.58/0.82 (sep @ (lseg @ x5 @ x2) @
% 0.58/0.82 (sep @ (lseg @ x5 @ x7) @
% 0.58/0.83 (sep @ (lseg @ x5 @ x4) @
% 0.58/0.83 (sep @ (lseg @ x12 @ x1) @
% 0.58/0.83 (sep @ (lseg @ x12 @ x6) @
% 0.58/0.83 (sep @ (lseg @ x2 @ x12) @
% 0.58/0.83 (sep @ (lseg @ x9 @ x10) @
% 0.58/0.83 (sep @ (lseg @ x3 @ x11) @
% 0.58/0.83 (sep @ (lseg @ x3 @ x1) @
% 0.58/0.83 (sep @ (lseg @ x3 @ x6) @
% 0.58/0.83 (sep @ (lseg @ x4 @ x9) @
% 0.58/0.83 (sep @ (lseg @ x4 @ x8) @
% 0.58/0.83 (sep @ (lseg @ x11 @ x8) @
% 0.58/0.83 (sep @ (lseg @ x11 @ x6) @
% 0.58/0.83 (sep @ (lseg @ x1 @ x9) @
% 0.58/0.83 (sep @ (lseg @ x1 @ x8) @
% 0.58/0.83 (sep @ (lseg @ x6 @ x2) @ emp))))))))))))))))))),
% 0.58/0.83 inference('cnf', [status(esa)], [premise_6])).
% 0.58/0.83 thf(associative_commutative, axiom,
% 0.58/0.83 (( sep @ S @ ( sep @ T @ Sigma ) ) = ( sep @ T @ ( sep @ S @ Sigma ) ))).
% 0.58/0.83 thf(zip_derived_cl0, plain,
% 0.58/0.83 (![X0 : $i, X1 : $i, X2 : $i]:
% 0.58/0.83 ((sep @ X1 @ (sep @ X0 @ X2)) = (sep @ X0 @ (sep @ X1 @ X2)))),
% 0.58/0.83 inference('cnf', [status(esa)], [associative_commutative])).
% 0.58/0.83 thf(zip_derived_cl0, plain,
% 0.58/0.83 (![X0 : $i, X1 : $i, X2 : $i]:
% 0.58/0.83 ((sep @ X1 @ (sep @ X0 @ X2)) = (sep @ X0 @ (sep @ X1 @ X2)))),
% 0.58/0.83 inference('cnf', [status(esa)], [associative_commutative])).
% 0.58/0.83 thf(zip_derived_cl0, plain,
% 0.58/0.83 (![X0 : $i, X1 : $i, X2 : $i]:
% 0.58/0.83 ((sep @ X1 @ (sep @ X0 @ X2)) = (sep @ X0 @ (sep @ X1 @ X2)))),
% 0.58/0.83 inference('cnf', [status(esa)], [associative_commutative])).
% 0.58/0.83 thf(zip_derived_cl0, plain,
% 0.58/0.83 (![X0 : $i, X1 : $i, X2 : $i]:
% 0.58/0.83 ((sep @ X1 @ (sep @ X0 @ X2)) = (sep @ X0 @ (sep @ X1 @ X2)))),
% 0.58/0.83 inference('cnf', [status(esa)], [associative_commutative])).
% 0.58/0.83 thf(zip_derived_cl0, plain,
% 0.58/0.83 (![X0 : $i, X1 : $i, X2 : $i]:
% 0.58/0.83 ((sep @ X1 @ (sep @ X0 @ X2)) = (sep @ X0 @ (sep @ X1 @ X2)))),
% 0.58/0.83 inference('cnf', [status(esa)], [associative_commutative])).
% 0.58/0.83 thf(zip_derived_cl0, plain,
% 0.58/0.83 (![X0 : $i, X1 : $i, X2 : $i]:
% 0.58/0.83 ((sep @ X1 @ (sep @ X0 @ X2)) = (sep @ X0 @ (sep @ X1 @ X2)))),
% 0.58/0.83 inference('cnf', [status(esa)], [associative_commutative])).
% 0.58/0.83 thf(zip_derived_cl0, plain,
% 0.58/0.83 (![X0 : $i, X1 : $i, X2 : $i]:
% 0.58/0.83 ((sep @ X1 @ (sep @ X0 @ X2)) = (sep @ X0 @ (sep @ X1 @ X2)))),
% 0.58/0.83 inference('cnf', [status(esa)], [associative_commutative])).
% 0.58/0.83 thf(zip_derived_cl0, plain,
% 0.58/0.83 (![X0 : $i, X1 : $i, X2 : $i]:
% 0.58/0.83 ((sep @ X1 @ (sep @ X0 @ X2)) = (sep @ X0 @ (sep @ X1 @ X2)))),
% 0.58/0.83 inference('cnf', [status(esa)], [associative_commutative])).
% 0.58/0.83 thf(zip_derived_cl0, plain,
% 0.58/0.83 (![X0 : $i, X1 : $i, X2 : $i]:
% 0.58/0.83 ((sep @ X1 @ (sep @ X0 @ X2)) = (sep @ X0 @ (sep @ X1 @ X2)))),
% 0.58/0.83 inference('cnf', [status(esa)], [associative_commutative])).
% 0.58/0.83 thf(zip_derived_cl0, plain,
% 0.58/0.83 (![X0 : $i, X1 : $i, X2 : $i]:
% 0.58/0.83 ((sep @ X1 @ (sep @ X0 @ X2)) = (sep @ X0 @ (sep @ X1 @ X2)))),
% 0.58/0.83 inference('cnf', [status(esa)], [associative_commutative])).
% 0.58/0.83 thf(zip_derived_cl0, plain,
% 0.58/0.83 (![X0 : $i, X1 : $i, X2 : $i]:
% 0.58/0.83 ((sep @ X1 @ (sep @ X0 @ X2)) = (sep @ X0 @ (sep @ X1 @ X2)))),
% 0.58/0.83 inference('cnf', [status(esa)], [associative_commutative])).
% 0.58/0.83 thf(zip_derived_cl0, plain,
% 0.58/0.83 (![X0 : $i, X1 : $i, X2 : $i]:
% 0.58/0.83 ((sep @ X1 @ (sep @ X0 @ X2)) = (sep @ X0 @ (sep @ X1 @ X2)))),
% 0.58/0.83 inference('cnf', [status(esa)], [associative_commutative])).
% 0.58/0.83 thf(zip_derived_cl0, plain,
% 0.58/0.83 (![X0 : $i, X1 : $i, X2 : $i]:
% 0.58/0.83 ((sep @ X1 @ (sep @ X0 @ X2)) = (sep @ X0 @ (sep @ X1 @ X2)))),
% 0.58/0.83 inference('cnf', [status(esa)], [associative_commutative])).
% 0.58/0.83 thf(zip_derived_cl0, plain,
% 0.58/0.83 (![X0 : $i, X1 : $i, X2 : $i]:
% 0.58/0.83 ((sep @ X1 @ (sep @ X0 @ X2)) = (sep @ X0 @ (sep @ X1 @ X2)))),
% 0.58/0.83 inference('cnf', [status(esa)], [associative_commutative])).
% 0.58/0.83 thf(zip_derived_cl0, plain,
% 0.58/0.83 (![X0 : $i, X1 : $i, X2 : $i]:
% 0.58/0.83 ((sep @ X1 @ (sep @ X0 @ X2)) = (sep @ X0 @ (sep @ X1 @ X2)))),
% 0.58/0.83 inference('cnf', [status(esa)], [associative_commutative])).
% 0.58/0.83 thf(zip_derived_cl0, plain,
% 0.58/0.83 (![X0 : $i, X1 : $i, X2 : $i]:
% 0.58/0.83 ((sep @ X1 @ (sep @ X0 @ X2)) = (sep @ X0 @ (sep @ X1 @ X2)))),
% 0.58/0.83 inference('cnf', [status(esa)], [associative_commutative])).
% 0.58/0.83 thf(zip_derived_cl0, plain,
% 0.58/0.83 (![X0 : $i, X1 : $i, X2 : $i]:
% 0.58/0.83 ((sep @ X1 @ (sep @ X0 @ X2)) = (sep @ X0 @ (sep @ X1 @ X2)))),
% 0.58/0.83 inference('cnf', [status(esa)], [associative_commutative])).
% 0.58/0.83 thf(zip_derived_cl0, plain,
% 0.58/0.83 (![X0 : $i, X1 : $i, X2 : $i]:
% 0.58/0.83 ((sep @ X1 @ (sep @ X0 @ X2)) = (sep @ X0 @ (sep @ X1 @ X2)))),
% 0.58/0.83 inference('cnf', [status(esa)], [associative_commutative])).
% 0.58/0.83 thf(zip_derived_cl0, plain,
% 0.58/0.83 (![X0 : $i, X1 : $i, X2 : $i]:
% 0.58/0.83 ((sep @ X1 @ (sep @ X0 @ X2)) = (sep @ X0 @ (sep @ X1 @ X2)))),
% 0.58/0.83 inference('cnf', [status(esa)], [associative_commutative])).
% 0.58/0.83 thf(zip_derived_cl0, plain,
% 0.58/0.83 (![X0 : $i, X1 : $i, X2 : $i]:
% 0.58/0.83 ((sep @ X1 @ (sep @ X0 @ X2)) = (sep @ X0 @ (sep @ X1 @ X2)))),
% 0.58/0.83 inference('cnf', [status(esa)], [associative_commutative])).
% 0.58/0.83 thf(zip_derived_cl0, plain,
% 0.58/0.83 (![X0 : $i, X1 : $i, X2 : $i]:
% 0.58/0.83 ((sep @ X1 @ (sep @ X0 @ X2)) = (sep @ X0 @ (sep @ X1 @ X2)))),
% 0.58/0.83 inference('cnf', [status(esa)], [associative_commutative])).
% 0.58/0.83 thf(zip_derived_cl0, plain,
% 0.58/0.83 (![X0 : $i, X1 : $i, X2 : $i]:
% 0.58/0.83 ((sep @ X1 @ (sep @ X0 @ X2)) = (sep @ X0 @ (sep @ X1 @ X2)))),
% 0.58/0.83 inference('cnf', [status(esa)], [associative_commutative])).
% 0.58/0.83 thf(zip_derived_cl0, plain,
% 0.58/0.83 (![X0 : $i, X1 : $i, X2 : $i]:
% 0.58/0.83 ((sep @ X1 @ (sep @ X0 @ X2)) = (sep @ X0 @ (sep @ X1 @ X2)))),
% 0.58/0.83 inference('cnf', [status(esa)], [associative_commutative])).
% 0.58/0.83 thf(zip_derived_cl0, plain,
% 0.58/0.83 (![X0 : $i, X1 : $i, X2 : $i]:
% 0.58/0.83 ((sep @ X1 @ (sep @ X0 @ X2)) = (sep @ X0 @ (sep @ X1 @ X2)))),
% 0.58/0.83 inference('cnf', [status(esa)], [associative_commutative])).
% 0.58/0.83 thf(zip_derived_cl0, plain,
% 0.58/0.83 (![X0 : $i, X1 : $i, X2 : $i]:
% 0.58/0.83 ((sep @ X1 @ (sep @ X0 @ X2)) = (sep @ X0 @ (sep @ X1 @ X2)))),
% 0.58/0.83 inference('cnf', [status(esa)], [associative_commutative])).
% 0.58/0.83 thf(zip_derived_cl0, plain,
% 0.58/0.83 (![X0 : $i, X1 : $i, X2 : $i]:
% 0.58/0.83 ((sep @ X1 @ (sep @ X0 @ X2)) = (sep @ X0 @ (sep @ X1 @ X2)))),
% 0.58/0.83 inference('cnf', [status(esa)], [associative_commutative])).
% 0.58/0.83 thf(zip_derived_cl0, plain,
% 0.58/0.83 (![X0 : $i, X1 : $i, X2 : $i]:
% 0.58/0.83 ((sep @ X1 @ (sep @ X0 @ X2)) = (sep @ X0 @ (sep @ X1 @ X2)))),
% 0.58/0.83 inference('cnf', [status(esa)], [associative_commutative])).
% 0.58/0.83 thf(zip_derived_cl0, plain,
% 0.58/0.83 (![X0 : $i, X1 : $i, X2 : $i]:
% 0.58/0.83 ((sep @ X1 @ (sep @ X0 @ X2)) = (sep @ X0 @ (sep @ X1 @ X2)))),
% 0.58/0.83 inference('cnf', [status(esa)], [associative_commutative])).
% 0.58/0.83 thf(zip_derived_cl0, plain,
% 0.58/0.83 (![X0 : $i, X1 : $i, X2 : $i]:
% 0.58/0.83 ((sep @ X1 @ (sep @ X0 @ X2)) = (sep @ X0 @ (sep @ X1 @ X2)))),
% 0.58/0.83 inference('cnf', [status(esa)], [associative_commutative])).
% 0.58/0.83 thf(zip_derived_cl0, plain,
% 0.58/0.83 (![X0 : $i, X1 : $i, X2 : $i]:
% 0.58/0.83 ((sep @ X1 @ (sep @ X0 @ X2)) = (sep @ X0 @ (sep @ X1 @ X2)))),
% 0.58/0.83 inference('cnf', [status(esa)], [associative_commutative])).
% 0.58/0.83 thf(zip_derived_cl0, plain,
% 0.58/0.83 (![X0 : $i, X1 : $i, X2 : $i]:
% 0.58/0.83 ((sep @ X1 @ (sep @ X0 @ X2)) = (sep @ X0 @ (sep @ X1 @ X2)))),
% 0.58/0.83 inference('cnf', [status(esa)], [associative_commutative])).
% 0.58/0.83 thf(zip_derived_cl0, plain,
% 0.58/0.83 (![X0 : $i, X1 : $i, X2 : $i]:
% 0.58/0.83 ((sep @ X1 @ (sep @ X0 @ X2)) = (sep @ X0 @ (sep @ X1 @ X2)))),
% 0.58/0.83 inference('cnf', [status(esa)], [associative_commutative])).
% 0.58/0.83 thf(zip_derived_cl0, plain,
% 0.58/0.83 (![X0 : $i, X1 : $i, X2 : $i]:
% 0.58/0.83 ((sep @ X1 @ (sep @ X0 @ X2)) = (sep @ X0 @ (sep @ X1 @ X2)))),
% 0.58/0.83 inference('cnf', [status(esa)], [associative_commutative])).
% 0.58/0.83 thf(zip_derived_cl0, plain,
% 0.58/0.83 (![X0 : $i, X1 : $i, X2 : $i]:
% 0.58/0.83 ((sep @ X1 @ (sep @ X0 @ X2)) = (sep @ X0 @ (sep @ X1 @ X2)))),
% 0.58/0.83 inference('cnf', [status(esa)], [associative_commutative])).
% 0.58/0.83 thf(zip_derived_cl0, plain,
% 0.58/0.83 (![X0 : $i, X1 : $i, X2 : $i]:
% 0.58/0.83 ((sep @ X1 @ (sep @ X0 @ X2)) = (sep @ X0 @ (sep @ X1 @ X2)))),
% 0.58/0.83 inference('cnf', [status(esa)], [associative_commutative])).
% 0.58/0.83 thf(zip_derived_cl0, plain,
% 0.58/0.83 (![X0 : $i, X1 : $i, X2 : $i]:
% 0.58/0.83 ((sep @ X1 @ (sep @ X0 @ X2)) = (sep @ X0 @ (sep @ X1 @ X2)))),
% 0.58/0.83 inference('cnf', [status(esa)], [associative_commutative])).
% 0.58/0.83 thf(zip_derived_cl0, plain,
% 0.58/0.83 (![X0 : $i, X1 : $i, X2 : $i]:
% 0.58/0.83 ((sep @ X1 @ (sep @ X0 @ X2)) = (sep @ X0 @ (sep @ X1 @ X2)))),
% 0.58/0.83 inference('cnf', [status(esa)], [associative_commutative])).
% 0.58/0.83 thf(zip_derived_cl0, plain,
% 0.58/0.83 (![X0 : $i, X1 : $i, X2 : $i]:
% 0.58/0.83 ((sep @ X1 @ (sep @ X0 @ X2)) = (sep @ X0 @ (sep @ X1 @ X2)))),
% 0.58/0.83 inference('cnf', [status(esa)], [associative_commutative])).
% 0.58/0.83 thf(zip_derived_cl0, plain,
% 0.58/0.83 (![X0 : $i, X1 : $i, X2 : $i]:
% 0.58/0.83 ((sep @ X1 @ (sep @ X0 @ X2)) = (sep @ X0 @ (sep @ X1 @ X2)))),
% 0.58/0.83 inference('cnf', [status(esa)], [associative_commutative])).
% 0.58/0.83 thf(zip_derived_cl0, plain,
% 0.58/0.83 (![X0 : $i, X1 : $i, X2 : $i]:
% 0.58/0.83 ((sep @ X1 @ (sep @ X0 @ X2)) = (sep @ X0 @ (sep @ X1 @ X2)))),
% 0.58/0.83 inference('cnf', [status(esa)], [associative_commutative])).
% 0.58/0.83 thf(zip_derived_cl0, plain,
% 0.58/0.83 (![X0 : $i, X1 : $i, X2 : $i]:
% 0.58/0.83 ((sep @ X1 @ (sep @ X0 @ X2)) = (sep @ X0 @ (sep @ X1 @ X2)))),
% 0.58/0.83 inference('cnf', [status(esa)], [associative_commutative])).
% 0.58/0.83 thf(zip_derived_cl0, plain,
% 0.58/0.83 (![X0 : $i, X1 : $i, X2 : $i]:
% 0.58/0.83 ((sep @ X1 @ (sep @ X0 @ X2)) = (sep @ X0 @ (sep @ X1 @ X2)))),
% 0.58/0.83 inference('cnf', [status(esa)], [associative_commutative])).
% 0.58/0.83 thf(zip_derived_cl0, plain,
% 0.58/0.83 (![X0 : $i, X1 : $i, X2 : $i]:
% 0.58/0.83 ((sep @ X1 @ (sep @ X0 @ X2)) = (sep @ X0 @ (sep @ X1 @ X2)))),
% 0.58/0.83 inference('cnf', [status(esa)], [associative_commutative])).
% 0.58/0.83 thf(zip_derived_cl0, plain,
% 0.58/0.83 (![X0 : $i, X1 : $i, X2 : $i]:
% 0.58/0.83 ((sep @ X1 @ (sep @ X0 @ X2)) = (sep @ X0 @ (sep @ X1 @ X2)))),
% 0.58/0.83 inference('cnf', [status(esa)], [associative_commutative])).
% 0.58/0.83 thf(zip_derived_cl0, plain,
% 0.58/0.83 (![X0 : $i, X1 : $i, X2 : $i]:
% 0.58/0.83 ((sep @ X1 @ (sep @ X0 @ X2)) = (sep @ X0 @ (sep @ X1 @ X2)))),
% 0.58/0.83 inference('cnf', [status(esa)], [associative_commutative])).
% 0.58/0.83 thf(zip_derived_cl0, plain,
% 0.58/0.83 (![X0 : $i, X1 : $i, X2 : $i]:
% 0.58/0.83 ((sep @ X1 @ (sep @ X0 @ X2)) = (sep @ X0 @ (sep @ X1 @ X2)))),
% 0.58/0.83 inference('cnf', [status(esa)], [associative_commutative])).
% 0.58/0.83 thf(zip_derived_cl0, plain,
% 0.58/0.83 (![X0 : $i, X1 : $i, X2 : $i]:
% 0.58/0.83 ((sep @ X1 @ (sep @ X0 @ X2)) = (sep @ X0 @ (sep @ X1 @ X2)))),
% 0.58/0.83 inference('cnf', [status(esa)], [associative_commutative])).
% 0.58/0.83 thf(zip_derived_cl0, plain,
% 0.58/0.83 (![X0 : $i, X1 : $i, X2 : $i]:
% 0.58/0.83 ((sep @ X1 @ (sep @ X0 @ X2)) = (sep @ X0 @ (sep @ X1 @ X2)))),
% 0.58/0.83 inference('cnf', [status(esa)], [associative_commutative])).
% 0.58/0.83 thf(zip_derived_cl0, plain,
% 0.58/0.83 (![X0 : $i, X1 : $i, X2 : $i]:
% 0.58/0.83 ((sep @ X1 @ (sep @ X0 @ X2)) = (sep @ X0 @ (sep @ X1 @ X2)))),
% 0.58/0.83 inference('cnf', [status(esa)], [associative_commutative])).
% 0.58/0.83 thf(zip_derived_cl0, plain,
% 0.58/0.83 (![X0 : $i, X1 : $i, X2 : $i]:
% 0.58/0.83 ((sep @ X1 @ (sep @ X0 @ X2)) = (sep @ X0 @ (sep @ X1 @ X2)))),
% 0.58/0.83 inference('cnf', [status(esa)], [associative_commutative])).
% 0.58/0.83 thf(zip_derived_cl0, plain,
% 0.58/0.83 (![X0 : $i, X1 : $i, X2 : $i]:
% 0.58/0.83 ((sep @ X1 @ (sep @ X0 @ X2)) = (sep @ X0 @ (sep @ X1 @ X2)))),
% 0.58/0.83 inference('cnf', [status(esa)], [associative_commutative])).
% 0.58/0.83 thf(zip_derived_cl0, plain,
% 0.58/0.83 (![X0 : $i, X1 : $i, X2 : $i]:
% 0.58/0.83 ((sep @ X1 @ (sep @ X0 @ X2)) = (sep @ X0 @ (sep @ X1 @ X2)))),
% 0.58/0.83 inference('cnf', [status(esa)], [associative_commutative])).
% 0.58/0.83 thf(zip_derived_cl0, plain,
% 0.58/0.83 (![X0 : $i, X1 : $i, X2 : $i]:
% 0.58/0.83 ((sep @ X1 @ (sep @ X0 @ X2)) = (sep @ X0 @ (sep @ X1 @ X2)))),
% 0.58/0.83 inference('cnf', [status(esa)], [associative_commutative])).
% 0.58/0.83 thf(zip_derived_cl0, plain,
% 0.58/0.83 (![X0 : $i, X1 : $i, X2 : $i]:
% 0.58/0.83 ((sep @ X1 @ (sep @ X0 @ X2)) = (sep @ X0 @ (sep @ X1 @ X2)))),
% 0.58/0.83 inference('cnf', [status(esa)], [associative_commutative])).
% 0.58/0.83 thf(zip_derived_cl0, plain,
% 0.58/0.83 (![X0 : $i, X1 : $i, X2 : $i]:
% 0.58/0.83 ((sep @ X1 @ (sep @ X0 @ X2)) = (sep @ X0 @ (sep @ X1 @ X2)))),
% 0.58/0.83 inference('cnf', [status(esa)], [associative_commutative])).
% 0.58/0.83 thf(zip_derived_cl80, plain,
% 0.58/0.83 ( (heap @
% 0.58/0.83 (sep @ (lseg @ x3 @ x11) @
% 0.58/0.83 (sep @ (lseg @ x3 @ x1) @
% 0.58/0.83 (sep @ (lseg @ x3 @ x6) @
% 0.58/0.83 (sep @ (lseg @ x11 @ x6) @
% 0.58/0.83 (sep @ (lseg @ x11 @ x8) @
% 0.58/0.83 (sep @ (lseg @ x12 @ x1) @
% 0.58/0.83 (sep @ (lseg @ x12 @ x6) @
% 0.58/0.83 (sep @ (lseg @ x2 @ x12) @
% 0.58/0.83 (sep @ (lseg @ x5 @ x7) @
% 0.58/0.83 (sep @ (lseg @ x5 @ x2) @
% 0.58/0.83 (sep @ (lseg @ x5 @ x4) @
% 0.58/0.83 (sep @ (lseg @ x4 @ x9) @
% 0.58/0.83 (sep @ (lseg @ x4 @ x8) @
% 0.58/0.83 (sep @ (lseg @ x1 @ x9) @
% 0.58/0.83 (sep @ (lseg @ x1 @ x8) @
% 0.58/0.83 (sep @ (lseg @ x6 @ x2) @
% 0.58/0.83 (sep @ (lseg @ x9 @ x10) @ emp))))))))))))))))))),
% 0.58/0.83 inference('demod', [status(thm)],
% 0.58/0.83 [zip_derived_cl16, zip_derived_cl0, zip_derived_cl0,
% 0.58/0.83 zip_derived_cl0, zip_derived_cl0, zip_derived_cl0,
% 0.58/0.83 zip_derived_cl0, zip_derived_cl0, zip_derived_cl0,
% 0.58/0.83 zip_derived_cl0, zip_derived_cl0, zip_derived_cl0,
% 0.58/0.83 zip_derived_cl0, zip_derived_cl0, zip_derived_cl0,
% 0.58/0.83 zip_derived_cl0, zip_derived_cl0, zip_derived_cl0,
% 0.58/0.83 zip_derived_cl0, zip_derived_cl0, zip_derived_cl0,
% 0.58/0.83 zip_derived_cl0, zip_derived_cl0, zip_derived_cl0,
% 0.58/0.83 zip_derived_cl0, zip_derived_cl0, zip_derived_cl0,
% 0.58/0.83 zip_derived_cl0, zip_derived_cl0, zip_derived_cl0,
% 0.58/0.83 zip_derived_cl0, zip_derived_cl0, zip_derived_cl0,
% 0.58/0.83 zip_derived_cl0, zip_derived_cl0, zip_derived_cl0,
% 0.58/0.83 zip_derived_cl0, zip_derived_cl0, zip_derived_cl0,
% 0.58/0.83 zip_derived_cl0, zip_derived_cl0, zip_derived_cl0,
% 0.58/0.83 zip_derived_cl0, zip_derived_cl0, zip_derived_cl0,
% 0.58/0.83 zip_derived_cl0, zip_derived_cl0, zip_derived_cl0,
% 0.58/0.83 zip_derived_cl0, zip_derived_cl0, zip_derived_cl0,
% 0.58/0.83 zip_derived_cl0, zip_derived_cl0, zip_derived_cl0,
% 0.58/0.83 zip_derived_cl0, zip_derived_cl0])).
% 0.58/0.83 thf(zip_derived_cl80, plain,
% 0.58/0.83 ( (heap @
% 0.58/0.83 (sep @ (lseg @ x3 @ x11) @
% 0.58/0.83 (sep @ (lseg @ x3 @ x1) @
% 0.58/0.83 (sep @ (lseg @ x3 @ x6) @
% 0.58/0.83 (sep @ (lseg @ x11 @ x6) @
% 0.58/0.83 (sep @ (lseg @ x11 @ x8) @
% 0.58/0.83 (sep @ (lseg @ x12 @ x1) @
% 0.58/0.83 (sep @ (lseg @ x12 @ x6) @
% 0.58/0.83 (sep @ (lseg @ x2 @ x12) @
% 0.58/0.83 (sep @ (lseg @ x5 @ x7) @
% 0.58/0.83 (sep @ (lseg @ x5 @ x2) @
% 0.58/0.83 (sep @ (lseg @ x5 @ x4) @
% 0.58/0.83 (sep @ (lseg @ x4 @ x9) @
% 0.58/0.83 (sep @ (lseg @ x4 @ x8) @
% 0.58/0.83 (sep @ (lseg @ x1 @ x9) @
% 0.58/0.83 (sep @ (lseg @ x1 @ x8) @
% 0.58/0.83 (sep @ (lseg @ x6 @ x2) @
% 0.58/0.83 (sep @ (lseg @ x9 @ x10) @ emp))))))))))))))))))),
% 0.58/0.83 inference('demod', [status(thm)],
% 0.58/0.83 [zip_derived_cl16, zip_derived_cl0, zip_derived_cl0,
% 0.58/0.83 zip_derived_cl0, zip_derived_cl0, zip_derived_cl0,
% 0.58/0.83 zip_derived_cl0, zip_derived_cl0, zip_derived_cl0,
% 0.58/0.83 zip_derived_cl0, zip_derived_cl0, zip_derived_cl0,
% 0.58/0.83 zip_derived_cl0, zip_derived_cl0, zip_derived_cl0,
% 0.58/0.83 zip_derived_cl0, zip_derived_cl0, zip_derived_cl0,
% 0.58/0.83 zip_derived_cl0, zip_derived_cl0, zip_derived_cl0,
% 0.58/0.83 zip_derived_cl0, zip_derived_cl0, zip_derived_cl0,
% 0.58/0.83 zip_derived_cl0, zip_derived_cl0, zip_derived_cl0,
% 0.58/0.83 zip_derived_cl0, zip_derived_cl0, zip_derived_cl0,
% 0.58/0.83 zip_derived_cl0, zip_derived_cl0, zip_derived_cl0,
% 0.58/0.83 zip_derived_cl0, zip_derived_cl0, zip_derived_cl0,
% 0.58/0.83 zip_derived_cl0, zip_derived_cl0, zip_derived_cl0,
% 0.58/0.83 zip_derived_cl0, zip_derived_cl0, zip_derived_cl0,
% 0.58/0.83 zip_derived_cl0, zip_derived_cl0, zip_derived_cl0,
% 0.58/0.83 zip_derived_cl0, zip_derived_cl0, zip_derived_cl0,
% 0.58/0.83 zip_derived_cl0, zip_derived_cl0, zip_derived_cl0,
% 0.58/0.83 zip_derived_cl0, zip_derived_cl0, zip_derived_cl0,
% 0.58/0.83 zip_derived_cl0, zip_derived_cl0])).
% 0.58/0.83 thf(wellformedness_5, axiom,
% 0.58/0.83 (( ~( heap @
% 0.58/0.83 ( sep @ ( lseg @ X @ Y ) @ ( sep @ ( lseg @ X @ Z ) @ Sigma ) ) ) ) |
% 0.58/0.83 ( ( X ) = ( Y ) ) | ( ( X ) = ( Z ) ))).
% 0.58/0.83 thf(zip_derived_cl6, plain,
% 0.58/0.83 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 0.58/0.83 (~ (heap @ (sep @ (lseg @ X0 @ X1) @ (sep @ (lseg @ X0 @ X2) @ X3)))
% 0.58/0.83 | ((X0) = (X1))
% 0.58/0.83 | ((X0) = (X2)))),
% 0.58/0.83 inference('cnf', [status(esa)], [wellformedness_5])).
% 0.58/0.83 thf(zip_derived_cl96, plain, ((((x3) = (x11)) | ((x3) = (x1)))),
% 0.58/0.83 inference('s_sup-', [status(thm)], [zip_derived_cl80, zip_derived_cl6])).
% 0.58/0.83 thf(premise_1, axiom, (( x3 ) != ( x11 ))).
% 0.58/0.83 thf(zip_derived_cl11, plain, (((x3) != (x11))),
% 0.58/0.83 inference('cnf', [status(esa)], [premise_1])).
% 0.58/0.83 thf(zip_derived_cl103, plain, (((x3) = (x1))),
% 0.58/0.83 inference('simplify_reflect-', [status(thm)],
% 0.58/0.83 [zip_derived_cl96, zip_derived_cl11])).
% 0.58/0.83 thf(zip_derived_cl103, plain, (((x3) = (x1))),
% 0.58/0.83 inference('simplify_reflect-', [status(thm)],
% 0.58/0.83 [zip_derived_cl96, zip_derived_cl11])).
% 0.58/0.83 thf(zip_derived_cl103, plain, (((x3) = (x1))),
% 0.58/0.83 inference('simplify_reflect-', [status(thm)],
% 0.58/0.83 [zip_derived_cl96, zip_derived_cl11])).
% 0.58/0.83 thf(zip_derived_cl103, plain, (((x3) = (x1))),
% 0.58/0.83 inference('simplify_reflect-', [status(thm)],
% 0.58/0.83 [zip_derived_cl96, zip_derived_cl11])).
% 0.58/0.83 thf(zip_derived_cl0, plain,
% 0.58/0.83 (![X0 : $i, X1 : $i, X2 : $i]:
% 0.58/0.83 ((sep @ X1 @ (sep @ X0 @ X2)) = (sep @ X0 @ (sep @ X1 @ X2)))),
% 0.58/0.83 inference('cnf', [status(esa)], [associative_commutative])).
% 0.58/0.83 thf(zip_derived_cl0, plain,
% 0.58/0.83 (![X0 : $i, X1 : $i, X2 : $i]:
% 0.58/0.83 ((sep @ X1 @ (sep @ X0 @ X2)) = (sep @ X0 @ (sep @ X1 @ X2)))),
% 0.58/0.83 inference('cnf', [status(esa)], [associative_commutative])).
% 0.58/0.83 thf(zip_derived_cl0, plain,
% 0.58/0.83 (![X0 : $i, X1 : $i, X2 : $i]:
% 0.58/0.83 ((sep @ X1 @ (sep @ X0 @ X2)) = (sep @ X0 @ (sep @ X1 @ X2)))),
% 0.58/0.83 inference('cnf', [status(esa)], [associative_commutative])).
% 0.58/0.83 thf(zip_derived_cl0, plain,
% 0.58/0.83 (![X0 : $i, X1 : $i, X2 : $i]:
% 0.58/0.83 ((sep @ X1 @ (sep @ X0 @ X2)) = (sep @ X0 @ (sep @ X1 @ X2)))),
% 0.58/0.83 inference('cnf', [status(esa)], [associative_commutative])).
% 0.58/0.83 thf(zip_derived_cl0, plain,
% 0.58/0.83 (![X0 : $i, X1 : $i, X2 : $i]:
% 0.58/0.83 ((sep @ X1 @ (sep @ X0 @ X2)) = (sep @ X0 @ (sep @ X1 @ X2)))),
% 0.58/0.83 inference('cnf', [status(esa)], [associative_commutative])).
% 0.58/0.83 thf(zip_derived_cl0, plain,
% 0.58/0.83 (![X0 : $i, X1 : $i, X2 : $i]:
% 0.58/0.83 ((sep @ X1 @ (sep @ X0 @ X2)) = (sep @ X0 @ (sep @ X1 @ X2)))),
% 0.58/0.83 inference('cnf', [status(esa)], [associative_commutative])).
% 0.58/0.83 thf(zip_derived_cl0, plain,
% 0.58/0.83 (![X0 : $i, X1 : $i, X2 : $i]:
% 0.58/0.83 ((sep @ X1 @ (sep @ X0 @ X2)) = (sep @ X0 @ (sep @ X1 @ X2)))),
% 0.58/0.83 inference('cnf', [status(esa)], [associative_commutative])).
% 0.58/0.83 thf(zip_derived_cl0, plain,
% 0.58/0.83 (![X0 : $i, X1 : $i, X2 : $i]:
% 0.58/0.83 ((sep @ X1 @ (sep @ X0 @ X2)) = (sep @ X0 @ (sep @ X1 @ X2)))),
% 0.58/0.83 inference('cnf', [status(esa)], [associative_commutative])).
% 0.58/0.83 thf(zip_derived_cl0, plain,
% 0.58/0.83 (![X0 : $i, X1 : $i, X2 : $i]:
% 0.58/0.83 ((sep @ X1 @ (sep @ X0 @ X2)) = (sep @ X0 @ (sep @ X1 @ X2)))),
% 0.58/0.83 inference('cnf', [status(esa)], [associative_commutative])).
% 0.58/0.83 thf(zip_derived_cl0, plain,
% 0.58/0.83 (![X0 : $i, X1 : $i, X2 : $i]:
% 0.58/0.83 ((sep @ X1 @ (sep @ X0 @ X2)) = (sep @ X0 @ (sep @ X1 @ X2)))),
% 0.58/0.83 inference('cnf', [status(esa)], [associative_commutative])).
% 0.58/0.83 thf(zip_derived_cl0, plain,
% 0.58/0.83 (![X0 : $i, X1 : $i, X2 : $i]:
% 0.58/0.83 ((sep @ X1 @ (sep @ X0 @ X2)) = (sep @ X0 @ (sep @ X1 @ X2)))),
% 0.58/0.83 inference('cnf', [status(esa)], [associative_commutative])).
% 0.58/0.83 thf(zip_derived_cl0, plain,
% 0.58/0.83 (![X0 : $i, X1 : $i, X2 : $i]:
% 0.58/0.83 ((sep @ X1 @ (sep @ X0 @ X2)) = (sep @ X0 @ (sep @ X1 @ X2)))),
% 0.58/0.83 inference('cnf', [status(esa)], [associative_commutative])).
% 0.58/0.83 thf(zip_derived_cl0, plain,
% 0.58/0.83 (![X0 : $i, X1 : $i, X2 : $i]:
% 0.58/0.83 ((sep @ X1 @ (sep @ X0 @ X2)) = (sep @ X0 @ (sep @ X1 @ X2)))),
% 0.58/0.83 inference('cnf', [status(esa)], [associative_commutative])).
% 0.58/0.83 thf(zip_derived_cl0, plain,
% 0.58/0.83 (![X0 : $i, X1 : $i, X2 : $i]:
% 0.58/0.83 ((sep @ X1 @ (sep @ X0 @ X2)) = (sep @ X0 @ (sep @ X1 @ X2)))),
% 0.58/0.83 inference('cnf', [status(esa)], [associative_commutative])).
% 0.58/0.83 thf(zip_derived_cl0, plain,
% 0.58/0.83 (![X0 : $i, X1 : $i, X2 : $i]:
% 0.58/0.83 ((sep @ X1 @ (sep @ X0 @ X2)) = (sep @ X0 @ (sep @ X1 @ X2)))),
% 0.58/0.83 inference('cnf', [status(esa)], [associative_commutative])).
% 0.58/0.83 thf(zip_derived_cl0, plain,
% 0.58/0.83 (![X0 : $i, X1 : $i, X2 : $i]:
% 0.58/0.83 ((sep @ X1 @ (sep @ X0 @ X2)) = (sep @ X0 @ (sep @ X1 @ X2)))),
% 0.58/0.83 inference('cnf', [status(esa)], [associative_commutative])).
% 0.58/0.83 thf(zip_derived_cl0, plain,
% 0.58/0.83 (![X0 : $i, X1 : $i, X2 : $i]:
% 0.58/0.83 ((sep @ X1 @ (sep @ X0 @ X2)) = (sep @ X0 @ (sep @ X1 @ X2)))),
% 0.58/0.83 inference('cnf', [status(esa)], [associative_commutative])).
% 0.58/0.83 thf(zip_derived_cl0, plain,
% 0.58/0.83 (![X0 : $i, X1 : $i, X2 : $i]:
% 0.58/0.83 ((sep @ X1 @ (sep @ X0 @ X2)) = (sep @ X0 @ (sep @ X1 @ X2)))),
% 0.58/0.83 inference('cnf', [status(esa)], [associative_commutative])).
% 0.58/0.83 thf(zip_derived_cl0, plain,
% 0.58/0.83 (![X0 : $i, X1 : $i, X2 : $i]:
% 0.58/0.83 ((sep @ X1 @ (sep @ X0 @ X2)) = (sep @ X0 @ (sep @ X1 @ X2)))),
% 0.58/0.83 inference('cnf', [status(esa)], [associative_commutative])).
% 0.58/0.83 thf(zip_derived_cl0, plain,
% 0.58/0.83 (![X0 : $i, X1 : $i, X2 : $i]:
% 0.58/0.83 ((sep @ X1 @ (sep @ X0 @ X2)) = (sep @ X0 @ (sep @ X1 @ X2)))),
% 0.58/0.83 inference('cnf', [status(esa)], [associative_commutative])).
% 0.58/0.83 thf(normalization, axiom, (( sep @ ( lseg @ X @ X ) @ Sigma ) = ( Sigma ))).
% 0.58/0.83 thf(zip_derived_cl1, plain,
% 0.58/0.83 (![X0 : $i, X1 : $i]: ((sep @ (lseg @ X1 @ X1) @ X0) = (X0))),
% 0.58/0.83 inference('cnf', [status(esa)], [normalization])).
% 0.58/0.83 thf(zip_derived_cl104, plain,
% 0.58/0.83 ( (heap @
% 0.58/0.83 (sep @ (lseg @ x3 @ x11) @
% 0.58/0.83 (sep @ (lseg @ x3 @ x6) @
% 0.58/0.83 (sep @ (lseg @ x3 @ x9) @
% 0.58/0.83 (sep @ (lseg @ x3 @ x8) @
% 0.58/0.83 (sep @ (lseg @ x11 @ x6) @
% 0.58/0.83 (sep @ (lseg @ x11 @ x8) @
% 0.58/0.83 (sep @ (lseg @ x12 @ x3) @
% 0.58/0.83 (sep @ (lseg @ x12 @ x6) @
% 0.58/0.83 (sep @ (lseg @ x2 @ x12) @
% 0.58/0.83 (sep @ (lseg @ x5 @ x7) @
% 0.58/0.83 (sep @ (lseg @ x5 @ x2) @
% 0.58/0.83 (sep @ (lseg @ x5 @ x4) @
% 0.58/0.83 (sep @ (lseg @ x4 @ x9) @
% 0.58/0.83 (sep @ (lseg @ x4 @ x8) @
% 0.58/0.83 (sep @ (lseg @ x6 @ x2) @
% 0.58/0.83 (sep @ (lseg @ x9 @ x10) @ emp)))))))))))))))))),
% 0.58/0.83 inference('demod', [status(thm)],
% 0.58/0.83 [zip_derived_cl80, zip_derived_cl103, zip_derived_cl103,
% 0.58/0.83 zip_derived_cl103, zip_derived_cl103, zip_derived_cl0,
% 0.58/0.83 zip_derived_cl0, zip_derived_cl0, zip_derived_cl0,
% 0.58/0.83 zip_derived_cl0, zip_derived_cl0, zip_derived_cl0,
% 0.58/0.83 zip_derived_cl0, zip_derived_cl0, zip_derived_cl0,
% 0.58/0.83 zip_derived_cl0, zip_derived_cl0, zip_derived_cl0,
% 0.58/0.83 zip_derived_cl0, zip_derived_cl0, zip_derived_cl0,
% 0.58/0.83 zip_derived_cl0, zip_derived_cl0, zip_derived_cl0,
% 0.58/0.83 zip_derived_cl0, zip_derived_cl1])).
% 0.58/0.83 thf(zip_derived_cl104, plain,
% 0.58/0.83 ( (heap @
% 0.58/0.83 (sep @ (lseg @ x3 @ x11) @
% 0.58/0.83 (sep @ (lseg @ x3 @ x6) @
% 0.58/0.83 (sep @ (lseg @ x3 @ x9) @
% 0.58/0.83 (sep @ (lseg @ x3 @ x8) @
% 0.58/0.83 (sep @ (lseg @ x11 @ x6) @
% 0.58/0.83 (sep @ (lseg @ x11 @ x8) @
% 0.58/0.83 (sep @ (lseg @ x12 @ x3) @
% 0.58/0.83 (sep @ (lseg @ x12 @ x6) @
% 0.58/0.83 (sep @ (lseg @ x2 @ x12) @
% 0.58/0.83 (sep @ (lseg @ x5 @ x7) @
% 0.58/0.83 (sep @ (lseg @ x5 @ x2) @
% 0.58/0.83 (sep @ (lseg @ x5 @ x4) @
% 0.58/0.83 (sep @ (lseg @ x4 @ x9) @
% 0.58/0.83 (sep @ (lseg @ x4 @ x8) @
% 0.58/0.83 (sep @ (lseg @ x6 @ x2) @
% 0.58/0.83 (sep @ (lseg @ x9 @ x10) @ emp)))))))))))))))))),
% 0.58/0.83 inference('demod', [status(thm)],
% 0.58/0.83 [zip_derived_cl80, zip_derived_cl103, zip_derived_cl103,
% 0.58/0.83 zip_derived_cl103, zip_derived_cl103, zip_derived_cl0,
% 0.58/0.83 zip_derived_cl0, zip_derived_cl0, zip_derived_cl0,
% 0.58/0.83 zip_derived_cl0, zip_derived_cl0, zip_derived_cl0,
% 0.58/0.83 zip_derived_cl0, zip_derived_cl0, zip_derived_cl0,
% 0.58/0.83 zip_derived_cl0, zip_derived_cl0, zip_derived_cl0,
% 0.58/0.83 zip_derived_cl0, zip_derived_cl0, zip_derived_cl0,
% 0.58/0.83 zip_derived_cl0, zip_derived_cl0, zip_derived_cl0,
% 0.58/0.83 zip_derived_cl0, zip_derived_cl1])).
% 0.58/0.83 thf(zip_derived_cl6, plain,
% 0.58/0.83 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 0.58/0.83 (~ (heap @ (sep @ (lseg @ X0 @ X1) @ (sep @ (lseg @ X0 @ X2) @ X3)))
% 0.58/0.83 | ((X0) = (X1))
% 0.58/0.83 | ((X0) = (X2)))),
% 0.58/0.83 inference('cnf', [status(esa)], [wellformedness_5])).
% 0.58/0.83 thf(zip_derived_cl118, plain, ((((x3) = (x11)) | ((x3) = (x6)))),
% 0.58/0.83 inference('s_sup-', [status(thm)], [zip_derived_cl104, zip_derived_cl6])).
% 0.58/0.83 thf(zip_derived_cl11, plain, (((x3) != (x11))),
% 0.58/0.83 inference('cnf', [status(esa)], [premise_1])).
% 0.58/0.83 thf(zip_derived_cl119, plain, (((x3) = (x6))),
% 0.58/0.83 inference('simplify_reflect-', [status(thm)],
% 0.58/0.83 [zip_derived_cl118, zip_derived_cl11])).
% 0.58/0.83 thf(zip_derived_cl119, plain, (((x3) = (x6))),
% 0.58/0.83 inference('simplify_reflect-', [status(thm)],
% 0.58/0.83 [zip_derived_cl118, zip_derived_cl11])).
% 0.58/0.83 thf(zip_derived_cl119, plain, (((x3) = (x6))),
% 0.58/0.83 inference('simplify_reflect-', [status(thm)],
% 0.58/0.83 [zip_derived_cl118, zip_derived_cl11])).
% 0.58/0.83 thf(zip_derived_cl119, plain, (((x3) = (x6))),
% 0.58/0.83 inference('simplify_reflect-', [status(thm)],
% 0.58/0.83 [zip_derived_cl118, zip_derived_cl11])).
% 0.58/0.83 thf(zip_derived_cl0, plain,
% 0.58/0.83 (![X0 : $i, X1 : $i, X2 : $i]:
% 0.58/0.83 ((sep @ X1 @ (sep @ X0 @ X2)) = (sep @ X0 @ (sep @ X1 @ X2)))),
% 0.58/0.83 inference('cnf', [status(esa)], [associative_commutative])).
% 0.58/0.83 thf(zip_derived_cl0, plain,
% 0.58/0.83 (![X0 : $i, X1 : $i, X2 : $i]:
% 0.58/0.83 ((sep @ X1 @ (sep @ X0 @ X2)) = (sep @ X0 @ (sep @ X1 @ X2)))),
% 0.58/0.83 inference('cnf', [status(esa)], [associative_commutative])).
% 0.58/0.83 thf(zip_derived_cl0, plain,
% 0.58/0.83 (![X0 : $i, X1 : $i, X2 : $i]:
% 0.58/0.83 ((sep @ X1 @ (sep @ X0 @ X2)) = (sep @ X0 @ (sep @ X1 @ X2)))),
% 0.58/0.83 inference('cnf', [status(esa)], [associative_commutative])).
% 0.58/0.83 thf(zip_derived_cl0, plain,
% 0.58/0.83 (![X0 : $i, X1 : $i, X2 : $i]:
% 0.58/0.83 ((sep @ X1 @ (sep @ X0 @ X2)) = (sep @ X0 @ (sep @ X1 @ X2)))),
% 0.58/0.83 inference('cnf', [status(esa)], [associative_commutative])).
% 0.58/0.83 thf(zip_derived_cl0, plain,
% 0.58/0.83 (![X0 : $i, X1 : $i, X2 : $i]:
% 0.58/0.83 ((sep @ X1 @ (sep @ X0 @ X2)) = (sep @ X0 @ (sep @ X1 @ X2)))),
% 0.58/0.83 inference('cnf', [status(esa)], [associative_commutative])).
% 0.58/0.83 thf(zip_derived_cl0, plain,
% 0.58/0.83 (![X0 : $i, X1 : $i, X2 : $i]:
% 0.58/0.83 ((sep @ X1 @ (sep @ X0 @ X2)) = (sep @ X0 @ (sep @ X1 @ X2)))),
% 0.58/0.83 inference('cnf', [status(esa)], [associative_commutative])).
% 0.58/0.83 thf(zip_derived_cl0, plain,
% 0.58/0.83 (![X0 : $i, X1 : $i, X2 : $i]:
% 0.58/0.83 ((sep @ X1 @ (sep @ X0 @ X2)) = (sep @ X0 @ (sep @ X1 @ X2)))),
% 0.58/0.83 inference('cnf', [status(esa)], [associative_commutative])).
% 0.58/0.83 thf(zip_derived_cl0, plain,
% 0.58/0.83 (![X0 : $i, X1 : $i, X2 : $i]:
% 0.58/0.83 ((sep @ X1 @ (sep @ X0 @ X2)) = (sep @ X0 @ (sep @ X1 @ X2)))),
% 0.58/0.83 inference('cnf', [status(esa)], [associative_commutative])).
% 0.58/0.83 thf(zip_derived_cl0, plain,
% 0.58/0.83 (![X0 : $i, X1 : $i, X2 : $i]:
% 0.58/0.83 ((sep @ X1 @ (sep @ X0 @ X2)) = (sep @ X0 @ (sep @ X1 @ X2)))),
% 0.58/0.83 inference('cnf', [status(esa)], [associative_commutative])).
% 0.58/0.83 thf(zip_derived_cl0, plain,
% 0.58/0.83 (![X0 : $i, X1 : $i, X2 : $i]:
% 0.58/0.83 ((sep @ X1 @ (sep @ X0 @ X2)) = (sep @ X0 @ (sep @ X1 @ X2)))),
% 0.58/0.83 inference('cnf', [status(esa)], [associative_commutative])).
% 0.58/0.83 thf(zip_derived_cl0, plain,
% 0.58/0.83 (![X0 : $i, X1 : $i, X2 : $i]:
% 0.58/0.83 ((sep @ X1 @ (sep @ X0 @ X2)) = (sep @ X0 @ (sep @ X1 @ X2)))),
% 0.58/0.83 inference('cnf', [status(esa)], [associative_commutative])).
% 0.58/0.83 thf(zip_derived_cl0, plain,
% 0.58/0.83 (![X0 : $i, X1 : $i, X2 : $i]:
% 0.58/0.83 ((sep @ X1 @ (sep @ X0 @ X2)) = (sep @ X0 @ (sep @ X1 @ X2)))),
% 0.58/0.83 inference('cnf', [status(esa)], [associative_commutative])).
% 0.58/0.83 thf(zip_derived_cl1, plain,
% 0.58/0.83 (![X0 : $i, X1 : $i]: ((sep @ (lseg @ X1 @ X1) @ X0) = (X0))),
% 0.58/0.83 inference('cnf', [status(esa)], [normalization])).
% 0.58/0.83 thf(zip_derived_cl126, plain,
% 0.58/0.83 ( (heap @
% 0.58/0.83 (sep @ (lseg @ x3 @ x11) @
% 0.58/0.83 (sep @ (lseg @ x3 @ x2) @
% 0.58/0.83 (sep @ (lseg @ x3 @ x9) @
% 0.58/0.83 (sep @ (lseg @ x3 @ x8) @
% 0.58/0.83 (sep @ (lseg @ x11 @ x3) @
% 0.58/0.83 (sep @ (lseg @ x11 @ x8) @
% 0.58/0.83 (sep @ (lseg @ x12 @ x3) @
% 0.58/0.83 (sep @ (lseg @ x12 @ x3) @
% 0.58/0.83 (sep @ (lseg @ x2 @ x12) @
% 0.58/0.83 (sep @ (lseg @ x5 @ x7) @
% 0.58/0.83 (sep @ (lseg @ x5 @ x2) @
% 0.58/0.83 (sep @ (lseg @ x5 @ x4) @
% 0.58/0.83 (sep @ (lseg @ x4 @ x9) @
% 0.58/0.83 (sep @ (lseg @ x4 @ x8) @ (sep @ (lseg @ x9 @ x10) @ emp))))))))))))))))),
% 0.58/0.83 inference('demod', [status(thm)],
% 0.58/0.83 [zip_derived_cl104, zip_derived_cl119, zip_derived_cl119,
% 0.58/0.83 zip_derived_cl119, zip_derived_cl119, zip_derived_cl0,
% 0.58/0.83 zip_derived_cl0, zip_derived_cl0, zip_derived_cl0,
% 0.58/0.83 zip_derived_cl0, zip_derived_cl0, zip_derived_cl0,
% 0.58/0.83 zip_derived_cl0, zip_derived_cl0, zip_derived_cl0,
% 0.58/0.83 zip_derived_cl0, zip_derived_cl0, zip_derived_cl1])).
% 0.58/0.83 thf(zip_derived_cl126, plain,
% 0.58/0.83 ( (heap @
% 0.58/0.83 (sep @ (lseg @ x3 @ x11) @
% 0.58/0.83 (sep @ (lseg @ x3 @ x2) @
% 0.58/0.83 (sep @ (lseg @ x3 @ x9) @
% 0.58/0.83 (sep @ (lseg @ x3 @ x8) @
% 0.58/0.83 (sep @ (lseg @ x11 @ x3) @
% 0.58/0.83 (sep @ (lseg @ x11 @ x8) @
% 0.58/0.83 (sep @ (lseg @ x12 @ x3) @
% 0.58/0.83 (sep @ (lseg @ x12 @ x3) @
% 0.58/0.83 (sep @ (lseg @ x2 @ x12) @
% 0.58/0.83 (sep @ (lseg @ x5 @ x7) @
% 0.58/0.83 (sep @ (lseg @ x5 @ x2) @
% 0.58/0.83 (sep @ (lseg @ x5 @ x4) @
% 0.58/0.83 (sep @ (lseg @ x4 @ x9) @
% 0.58/0.83 (sep @ (lseg @ x4 @ x8) @ (sep @ (lseg @ x9 @ x10) @ emp))))))))))))))))),
% 0.58/0.83 inference('demod', [status(thm)],
% 0.58/0.83 [zip_derived_cl104, zip_derived_cl119, zip_derived_cl119,
% 0.58/0.83 zip_derived_cl119, zip_derived_cl119, zip_derived_cl0,
% 0.58/0.83 zip_derived_cl0, zip_derived_cl0, zip_derived_cl0,
% 0.58/0.83 zip_derived_cl0, zip_derived_cl0, zip_derived_cl0,
% 0.58/0.83 zip_derived_cl0, zip_derived_cl0, zip_derived_cl0,
% 0.58/0.83 zip_derived_cl0, zip_derived_cl0, zip_derived_cl1])).
% 0.58/0.83 thf(zip_derived_cl6, plain,
% 0.58/0.83 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 0.58/0.83 (~ (heap @ (sep @ (lseg @ X0 @ X1) @ (sep @ (lseg @ X0 @ X2) @ X3)))
% 0.58/0.83 | ((X0) = (X1))
% 0.58/0.83 | ((X0) = (X2)))),
% 0.58/0.83 inference('cnf', [status(esa)], [wellformedness_5])).
% 0.58/0.83 thf(zip_derived_cl135, plain, ((((x3) = (x11)) | ((x3) = (x2)))),
% 0.58/0.83 inference('s_sup-', [status(thm)], [zip_derived_cl126, zip_derived_cl6])).
% 0.58/0.83 thf(zip_derived_cl11, plain, (((x3) != (x11))),
% 0.58/0.83 inference('cnf', [status(esa)], [premise_1])).
% 0.58/0.83 thf(zip_derived_cl138, plain, (((x3) = (x2))),
% 0.58/0.83 inference('simplify_reflect-', [status(thm)],
% 0.58/0.83 [zip_derived_cl135, zip_derived_cl11])).
% 0.58/0.83 thf(zip_derived_cl138, plain, (((x3) = (x2))),
% 0.58/0.83 inference('simplify_reflect-', [status(thm)],
% 0.58/0.83 [zip_derived_cl135, zip_derived_cl11])).
% 0.58/0.83 thf(zip_derived_cl138, plain, (((x3) = (x2))),
% 0.58/0.83 inference('simplify_reflect-', [status(thm)],
% 0.58/0.83 [zip_derived_cl135, zip_derived_cl11])).
% 0.58/0.83 thf(zip_derived_cl0, plain,
% 0.58/0.83 (![X0 : $i, X1 : $i, X2 : $i]:
% 0.58/0.83 ((sep @ X1 @ (sep @ X0 @ X2)) = (sep @ X0 @ (sep @ X1 @ X2)))),
% 0.58/0.83 inference('cnf', [status(esa)], [associative_commutative])).
% 0.58/0.83 thf(zip_derived_cl0, plain,
% 0.58/0.83 (![X0 : $i, X1 : $i, X2 : $i]:
% 0.58/0.83 ((sep @ X1 @ (sep @ X0 @ X2)) = (sep @ X0 @ (sep @ X1 @ X2)))),
% 0.58/0.83 inference('cnf', [status(esa)], [associative_commutative])).
% 0.58/0.83 thf(zip_derived_cl0, plain,
% 0.58/0.83 (![X0 : $i, X1 : $i, X2 : $i]:
% 0.58/0.83 ((sep @ X1 @ (sep @ X0 @ X2)) = (sep @ X0 @ (sep @ X1 @ X2)))),
% 0.58/0.83 inference('cnf', [status(esa)], [associative_commutative])).
% 0.58/0.83 thf(zip_derived_cl0, plain,
% 0.58/0.83 (![X0 : $i, X1 : $i, X2 : $i]:
% 0.58/0.83 ((sep @ X1 @ (sep @ X0 @ X2)) = (sep @ X0 @ (sep @ X1 @ X2)))),
% 0.58/0.83 inference('cnf', [status(esa)], [associative_commutative])).
% 0.58/0.83 thf(zip_derived_cl0, plain,
% 0.58/0.83 (![X0 : $i, X1 : $i, X2 : $i]:
% 0.58/0.83 ((sep @ X1 @ (sep @ X0 @ X2)) = (sep @ X0 @ (sep @ X1 @ X2)))),
% 0.58/0.83 inference('cnf', [status(esa)], [associative_commutative])).
% 0.58/0.83 thf(zip_derived_cl0, plain,
% 0.58/0.83 (![X0 : $i, X1 : $i, X2 : $i]:
% 0.58/0.83 ((sep @ X1 @ (sep @ X0 @ X2)) = (sep @ X0 @ (sep @ X1 @ X2)))),
% 0.58/0.83 inference('cnf', [status(esa)], [associative_commutative])).
% 0.58/0.83 thf(zip_derived_cl0, plain,
% 0.58/0.83 (![X0 : $i, X1 : $i, X2 : $i]:
% 0.58/0.83 ((sep @ X1 @ (sep @ X0 @ X2)) = (sep @ X0 @ (sep @ X1 @ X2)))),
% 0.58/0.83 inference('cnf', [status(esa)], [associative_commutative])).
% 0.58/0.83 thf(zip_derived_cl1, plain,
% 0.58/0.83 (![X0 : $i, X1 : $i]: ((sep @ (lseg @ X1 @ X1) @ X0) = (X0))),
% 0.58/0.83 inference('cnf', [status(esa)], [normalization])).
% 0.58/0.83 thf(zip_derived_cl150, plain,
% 0.58/0.83 ( (heap @
% 0.58/0.83 (sep @ (lseg @ x3 @ x11) @
% 0.58/0.83 (sep @ (lseg @ x3 @ x12) @
% 0.58/0.83 (sep @ (lseg @ x3 @ x9) @
% 0.58/0.83 (sep @ (lseg @ x3 @ x8) @
% 0.58/0.83 (sep @ (lseg @ x11 @ x3) @
% 0.58/0.83 (sep @ (lseg @ x11 @ x8) @
% 0.58/0.83 (sep @ (lseg @ x12 @ x3) @
% 0.58/0.83 (sep @ (lseg @ x12 @ x3) @
% 0.58/0.83 (sep @ (lseg @ x5 @ x3) @
% 0.58/0.83 (sep @ (lseg @ x5 @ x7) @
% 0.58/0.83 (sep @ (lseg @ x5 @ x4) @
% 0.58/0.83 (sep @ (lseg @ x4 @ x9) @
% 0.58/0.83 (sep @ (lseg @ x4 @ x8) @ (sep @ (lseg @ x9 @ x10) @ emp)))))))))))))))),
% 0.58/0.83 inference('demod', [status(thm)],
% 0.58/0.83 [zip_derived_cl126, zip_derived_cl138, zip_derived_cl138,
% 0.58/0.83 zip_derived_cl138, zip_derived_cl0, zip_derived_cl0,
% 0.58/0.83 zip_derived_cl0, zip_derived_cl0, zip_derived_cl0,
% 0.58/0.83 zip_derived_cl0, zip_derived_cl0, zip_derived_cl1])).
% 0.58/0.83 thf(zip_derived_cl6, plain,
% 0.58/0.83 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 0.58/0.83 (~ (heap @ (sep @ (lseg @ X0 @ X1) @ (sep @ (lseg @ X0 @ X2) @ X3)))
% 0.58/0.83 | ((X0) = (X1))
% 0.58/0.83 | ((X0) = (X2)))),
% 0.58/0.83 inference('cnf', [status(esa)], [wellformedness_5])).
% 0.58/0.83 thf(zip_derived_cl247, plain, ((((x3) = (x11)) | ((x3) = (x12)))),
% 0.58/0.83 inference('s_sup-', [status(thm)], [zip_derived_cl150, zip_derived_cl6])).
% 0.58/0.83 thf(premise_2, axiom, (( x3 ) != ( x12 ))).
% 0.58/0.83 thf(zip_derived_cl12, plain, (((x3) != (x12))),
% 0.58/0.83 inference('cnf', [status(esa)], [premise_2])).
% 0.58/0.83 thf(zip_derived_cl11, plain, (((x3) != (x11))),
% 0.58/0.83 inference('cnf', [status(esa)], [premise_1])).
% 0.58/0.83 thf(zip_derived_cl250, plain, ($false),
% 0.58/0.83 inference('simplify_reflect-', [status(thm)],
% 0.58/0.83 [zip_derived_cl247, zip_derived_cl12, zip_derived_cl11])).
% 0.58/0.83
% 0.58/0.83 % SZS output end Refutation
% 0.58/0.83
% 0.58/0.83
% 0.58/0.83 % Terminating...
% 0.58/0.87 % Runner terminated.
% 0.58/0.88 % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------