%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : SWX034+1 : TPTP v9.2.0. Released v9.1.0.
% Transfm : none
% Format : tptp:raw
% Command : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.wm4Aj8KAEd true
% Computer : n008.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Thu Oct 2 05:03:35 PM UTC 2025
% Result : Theorem 23.95s 4.09s
% Output : Refutation 23.95s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.13 % Problem : SWX034+1 : TPTP v9.2.0. Released v9.1.0.
% 0.06/0.15 % Command : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.wm4Aj8KAEd true
% 0.14/0.36 % Computer : n008.cluster.edu
% 0.14/0.36 % Model : x86_64 x86_64
% 0.14/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.36 % Memory : 8042.1875MB
% 0.14/0.36 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.36 % CPULimit : 300
% 0.14/0.36 % WCLimit : 300
% 0.14/0.36 % DateTime : Wed Oct 1 10:41:38 EDT 2025
% 0.14/0.36 % CPUTime :
% 0.14/0.36 % Running portfolio for 300 s
% 0.14/0.36 % File : /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.14/0.36 % Number of cores: 8
% 0.14/0.37 % Python version: Python 3.6.8
% 0.14/0.37 % Running in FO mode
% 0.50/0.67 % Total configuration time : 435
% 0.50/0.67 % Estimated wc time : 1092
% 0.50/0.67 % Estimated cpu time (7 cpus) : 156.0
% 0.55/0.73 % /export/starexec/sandbox2/solver/bin/fo/fo6_bce.sh running for 75s
% 0.55/0.74 % /export/starexec/sandbox2/solver/bin/fo/fo3_bce.sh running for 75s
% 0.55/0.77 % /export/starexec/sandbox2/solver/bin/fo/fo7.sh running for 63s
% 0.55/0.77 % /export/starexec/sandbox2/solver/bin/fo/fo1_av.sh running for 75s
% 0.55/0.78 % /export/starexec/sandbox2/solver/bin/fo/fo13.sh running for 50s
% 0.55/0.79 % /export/starexec/sandbox2/solver/bin/fo/fo4.sh running for 50s
% 0.55/0.79 % /export/starexec/sandbox2/solver/bin/fo/fo5.sh running for 50s
% 23.95/4.09 % Solved by fo/fo6_bce.sh.
% 23.95/4.09 % BCE start: 156
% 23.95/4.09 % BCE eliminated: 1
% 23.95/4.09 % PE start: 155
% 23.95/4.09 logic: eq
% 23.95/4.09 % PE eliminated: 11
% 23.95/4.09 % done 1818 iterations in 3.326s
% 23.95/4.09 % SZS status Theorem for '/export/starexec/sandbox2/benchmark/theBenchmark.p'
% 23.95/4.09 % SZS output start Refutation
% 23.95/4.09 thf(sk__36_type, type, sk__36: $i).
% 23.95/4.09 thf(sk__35_type, type, sk__35: $i).
% 23.95/4.09 thf(sk__37_type, type, sk__37: $i).
% 23.95/4.09 thf(sk__31_type, type, sk__31: $i).
% 23.95/4.09 thf(sk__33_type, type, sk__33: $i).
% 23.95/4.09 thf(s_type, type, s: $i > $i).
% 23.95/4.09 thf(sk__34_type, type, sk__34: $i).
% 23.95/4.09 thf(0_type, type, 0: $i).
% 23.95/4.09 thf(plus_terminates_type, type, plus_terminates: $i > $i > $i > $o).
% 23.95/4.09 thf(nat_succeeds_type, type, nat_succeeds: $i > $o).
% 23.95/4.09 thf(sk__4_type, type, sk__4: $i > $i > $i > $i).
% 23.95/4.09 thf(sk__32_type, type, sk__32: $i).
% 23.95/4.09 thf(times_terminates_type, type, times_terminates: $i > $i > $i > $o).
% 23.95/4.09 thf(sk__5_type, type, sk__5: $i > $i > $i > $i).
% 23.95/4.09 thf(times_fails_type, type, times_fails: $i > $i > $i > $o).
% 23.95/4.09 thf(id17, axiom,
% 23.95/4.09 (![Xx1:$i,Xx2:$i,Xx3:$i]:
% 23.95/4.09 ( ( times_terminates @ Xx1 @ Xx2 @ Xx3 ) <=>
% 23.95/4.09 ( ![Xx4:$i,Xx5:$i]:
% 23.95/4.09 ( ( ( ( plus_terminates @ Xx2 @ Xx5 @ Xx3 ) |
% 23.95/4.09 ( times_fails @ Xx4 @ Xx2 @ Xx5 ) ) &
% 23.95/4.09 ( times_terminates @ Xx4 @ Xx2 @ Xx5 ) ) |
% 23.95/4.09 ( ( Xx1 ) != ( s @ Xx4 ) ) ) ) ))).
% 23.95/4.09 thf(zip_derived_cl37, plain,
% 23.95/4.09 (![X0 : $i, X1 : $i, X2 : $i]:
% 23.95/4.09 ( (times_terminates @ X0 @ X1 @ X2)
% 23.95/4.09 | ((X0) = (s @ (sk__4 @ X2 @ X1 @ X0))))),
% 23.95/4.09 inference('cnf', [status(esa)], [id17])).
% 23.95/4.09 thf(induction, axiom,
% 23.95/4.09 (( ![Xx:$i]:
% 23.95/4.09 ( ( ( ?[Xx2:$i]:
% 23.95/4.09 ( ( ![Xy:$i,Xz:$i]:
% 23.95/4.09 ( ( nat_succeeds @ Xy ) =>
% 23.95/4.09 ( times_terminates @ Xx2 @ Xy @ Xz ) ) ) &
% 23.95/4.09 ( nat_succeeds @ Xx2 ) & ( ( Xx ) = ( s @ Xx2 ) ) ) ) |
% 23.95/4.09 ( ( Xx ) = ( 0 ) ) ) =>
% 23.95/4.09 ( ![Xy:$i,Xz:$i]:
% 23.95/4.09 ( ( nat_succeeds @ Xy ) => ( times_terminates @ Xx @ Xy @ Xz ) ) ) ) ) =>
% 23.95/4.09 ( ![Xx:$i]:
% 23.95/4.09 ( ( nat_succeeds @ Xx ) =>
% 23.95/4.09 ( ![Xy:$i,Xz:$i]:
% 23.95/4.09 ( ( nat_succeeds @ Xy ) => ( times_terminates @ Xx @ Xy @ Xz ) ) ) ) ))).
% 23.95/4.09 thf(zip_derived_cl150, plain,
% 23.95/4.09 (![X0 : $i, X1 : $i, X2 : $i]:
% 23.95/4.09 (~ (nat_succeeds @ X0)
% 23.95/4.09 | ~ (nat_succeeds @ X1)
% 23.95/4.09 | (times_terminates @ X0 @ X1 @ X2)
% 23.95/4.09 | ((sk__31) = (s @ sk__34))
% 23.95/4.09 | ((sk__31) = (0)))),
% 23.95/4.09 inference('cnf', [status(esa)], [induction])).
% 23.95/4.09 thf(zip_derived_cl37, plain,
% 23.95/4.09 (![X0 : $i, X1 : $i, X2 : $i]:
% 23.95/4.09 ( (times_terminates @ X0 @ X1 @ X2)
% 23.95/4.09 | ((X0) = (s @ (sk__4 @ X2 @ X1 @ X0))))),
% 23.95/4.09 inference('cnf', [status(esa)], [id17])).
% 23.95/4.09 thf(id1, axiom, (![Xx3:$i]: ( ( 0 ) != ( s @ Xx3 ) ))).
% 23.95/4.09 thf(zip_derived_cl0, plain, (![X0 : $i]: ((0) != (s @ X0))),
% 23.95/4.09 inference('cnf', [status(esa)], [id1])).
% 23.95/4.09 thf(zip_derived_cl949, plain,
% 23.95/4.09 (![X0 : $i, X1 : $i, X2 : $i]:
% 23.95/4.09 ( (times_terminates @ X0 @ X1 @ X2) | ((0) != (X0)))),
% 23.95/4.09 inference('s_sup-', [status(thm)], [zip_derived_cl37, zip_derived_cl0])).
% 23.95/4.09 thf(zip_derived_cl148, plain,
% 23.95/4.09 (![X0 : $i, X1 : $i, X2 : $i]:
% 23.95/4.09 (~ (nat_succeeds @ X0)
% 23.95/4.09 | ~ (nat_succeeds @ X1)
% 23.95/4.09 | (times_terminates @ X0 @ X1 @ X2)
% 23.95/4.09 | ~ (times_terminates @ sk__31 @ sk__32 @ sk__33))),
% 23.95/4.09 inference('cnf', [status(esa)], [induction])).
% 23.95/4.09 thf(zip_derived_cl1489, plain,
% 23.95/4.09 (![X0 : $i, X1 : $i, X2 : $i]:
% 23.95/4.09 (((0) != (sk__31))
% 23.95/4.09 | ~ (nat_succeeds @ X0)
% 23.95/4.09 | ~ (nat_succeeds @ X1)
% 23.95/4.09 | (times_terminates @ X0 @ X1 @ X2))),
% 23.95/4.09 inference('s_sup-', [status(thm)], [zip_derived_cl949, zip_derived_cl148])).
% 23.95/4.09 thf(zip_derived_cl1509, plain,
% 23.95/4.09 (![X0 : $i, X1 : $i, X2 : $i]:
% 23.95/4.09 (((sk__31) = (s @ sk__34))
% 23.95/4.09 | (times_terminates @ X0 @ X1 @ X2)
% 23.95/4.09 | ~ (nat_succeeds @ X1)
% 23.95/4.09 | ~ (nat_succeeds @ X0))),
% 23.95/4.09 inference('clc', [status(thm)], [zip_derived_cl150, zip_derived_cl1489])).
% 23.95/4.09 thf('lemma-(times:termination)', conjecture,
% 23.95/4.09 (![Xx:$i,Xy:$i,Xz:$i]:
% 23.95/4.09 ( ( ( nat_succeeds @ Xx ) & ( nat_succeeds @ Xy ) ) =>
% 23.95/4.09 ( times_terminates @ Xx @ Xy @ Xz ) ))).
% 23.95/4.09 thf(zf_stmt_0, negated_conjecture,
% 23.95/4.09 (~( ![Xx:$i,Xy:$i,Xz:$i]:
% 23.95/4.09 ( ( ( nat_succeeds @ Xx ) & ( nat_succeeds @ Xy ) ) =>
% 23.95/4.09 ( times_terminates @ Xx @ Xy @ Xz ) ) )),
% 23.95/4.09 inference('cnf.neg', [status(esa)], [lemma-(times:termination)])).
% 23.95/4.09 thf(zip_derived_cl153, plain,
% 23.95/4.09 (~ (times_terminates @ sk__35 @ sk__36 @ sk__37)),
% 23.95/4.09 inference('cnf', [status(esa)], [zf_stmt_0])).
% 23.95/4.09 thf(zip_derived_cl1512, plain,
% 23.95/4.09 ((~ (nat_succeeds @ sk__35)
% 23.95/4.09 | ~ (nat_succeeds @ sk__36)
% 23.95/4.09 | ((sk__31) = (s @ sk__34)))),
% 23.95/4.09 inference('s_sup-', [status(thm)],
% 23.95/4.09 [zip_derived_cl1509, zip_derived_cl153])).
% 23.95/4.09 thf(zip_derived_cl154, plain, ( (nat_succeeds @ sk__35)),
% 23.95/4.09 inference('cnf', [status(esa)], [zf_stmt_0])).
% 23.95/4.09 thf(zip_derived_cl155, plain, ( (nat_succeeds @ sk__36)),
% 23.95/4.09 inference('cnf', [status(esa)], [zf_stmt_0])).
% 23.95/4.09 thf(zip_derived_cl1514, plain, (((sk__31) = (s @ sk__34))),
% 23.95/4.09 inference('demod', [status(thm)],
% 23.95/4.09 [zip_derived_cl1512, zip_derived_cl154, zip_derived_cl155])).
% 23.95/4.09 thf(id2, axiom,
% 23.95/4.09 (![Xx4:$i,Xx5:$i]:
% 23.95/4.09 ( ( ( s @ Xx4 ) = ( s @ Xx5 ) ) => ( ( Xx4 ) = ( Xx5 ) ) ))).
% 23.95/4.09 thf(zip_derived_cl1, plain,
% 23.95/4.09 (![X0 : $i, X1 : $i]: (((X1) = (X0)) | ((s @ X1) != (s @ X0)))),
% 23.95/4.09 inference('cnf', [status(esa)], [id2])).
% 23.95/4.09 thf(zip_derived_cl1520, plain,
% 23.95/4.09 (![X0 : $i]: (((X0) = (sk__34)) | ((s @ X0) != (sk__31)))),
% 23.95/4.09 inference('s_sup-', [status(thm)], [zip_derived_cl1514, zip_derived_cl1])).
% 23.95/4.09 thf(zip_derived_cl1584, plain,
% 23.95/4.09 (![X0 : $i, X1 : $i, X2 : $i]:
% 23.95/4.09 ( (times_terminates @ X0 @ X1 @ X2)
% 23.95/4.09 | ((sk__4 @ X2 @ X1 @ X0) = (sk__34))
% 23.95/4.09 | ((X0) != (sk__31)))),
% 23.95/4.09 inference('s_sup-', [status(thm)], [zip_derived_cl37, zip_derived_cl1520])).
% 23.95/4.09 thf('lemma-(plus:termination:1)', axiom,
% 23.95/4.09 (![Xx:$i,Xy:$i,Xz:$i]:
% 23.95/4.09 ( ( nat_succeeds @ Xx ) => ( plus_terminates @ Xx @ Xy @ Xz ) ))).
% 23.95/4.09 thf(zip_derived_cl125, plain,
% 23.95/4.09 (![X0 : $i, X1 : $i, X2 : $i]:
% 23.95/4.09 (~ (nat_succeeds @ X0) | (plus_terminates @ X0 @ X1 @ X2))),
% 23.95/4.09 inference('cnf', [status(esa)], [lemma-(plus:termination:1)])).
% 23.95/4.09 thf(zip_derived_cl39, plain,
% 23.95/4.09 (![X0 : $i, X1 : $i, X2 : $i]:
% 23.95/4.09 ( (times_terminates @ X0 @ X1 @ X2)
% 23.95/4.09 | ~ (plus_terminates @ X1 @ (sk__5 @ X2 @ X1 @ X0) @ X2)
% 23.95/4.09 | ~ (times_terminates @ (sk__4 @ X2 @ X1 @ X0) @ X1 @
% 23.95/4.09 (sk__5 @ X2 @ X1 @ X0)))),
% 23.95/4.09 inference('cnf', [status(esa)], [id17])).
% 23.95/4.09 thf(zip_derived_cl1113, plain,
% 23.95/4.09 (![X0 : $i, X1 : $i, X2 : $i]:
% 23.95/4.09 (~ (nat_succeeds @ X2)
% 23.95/4.09 | (times_terminates @ X1 @ X2 @ X0)
% 23.95/4.09 | ~ (times_terminates @ (sk__4 @ X0 @ X2 @ X1) @ X2 @
% 23.95/4.09 (sk__5 @ X0 @ X2 @ X1)))),
% 23.95/4.09 inference('s_sup-', [status(thm)], [zip_derived_cl125, zip_derived_cl39])).
% 23.95/4.09 thf(zip_derived_cl3366, plain,
% 23.95/4.09 (![X0 : $i, X1 : $i, X2 : $i]:
% 23.95/4.09 (((X0) != (sk__31))
% 23.95/4.09 | (times_terminates @ X0 @ X1 @ X2)
% 23.95/4.09 | ~ (nat_succeeds @ X1)
% 23.95/4.09 | (times_terminates @ X0 @ X1 @ X2)
% 23.95/4.09 | ~ (times_terminates @ sk__34 @ X1 @ (sk__5 @ X2 @ X1 @ X0)))),
% 23.95/4.09 inference('s_sup-', [status(thm)],
% 23.95/4.09 [zip_derived_cl1584, zip_derived_cl1113])).
% 23.95/4.09 thf(zip_derived_cl3367, plain,
% 23.95/4.09 (![X0 : $i, X1 : $i, X2 : $i]:
% 23.95/4.09 (~ (times_terminates @ sk__34 @ X1 @ (sk__5 @ X2 @ X1 @ X0))
% 23.95/4.09 | ~ (nat_succeeds @ X1)
% 23.95/4.09 | (times_terminates @ X0 @ X1 @ X2)
% 23.95/4.09 | ((X0) != (sk__31)))),
% 23.95/4.09 inference('simplify', [status(thm)], [zip_derived_cl3366])).
% 23.95/4.09 thf(zip_derived_cl152, plain,
% 23.95/4.09 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i]:
% 23.95/4.09 (~ (nat_succeeds @ X0)
% 23.95/4.09 | ~ (nat_succeeds @ X1)
% 23.95/4.09 | (times_terminates @ X0 @ X1 @ X2)
% 23.95/4.09 | (times_terminates @ sk__34 @ X3 @ X4)
% 23.95/4.09 | ~ (nat_succeeds @ X3)
% 23.95/4.09 | ((sk__31) = (0)))),
% 23.95/4.09 inference('cnf', [status(esa)], [induction])).
% 23.95/4.09 thf(zip_derived_cl1514, plain, (((sk__31) = (s @ sk__34))),
% 23.95/4.09 inference('demod', [status(thm)],
% 23.95/4.09 [zip_derived_cl1512, zip_derived_cl154, zip_derived_cl155])).
% 23.95/4.09 thf(zip_derived_cl0, plain, (![X0 : $i]: ((0) != (s @ X0))),
% 23.95/4.09 inference('cnf', [status(esa)], [id1])).
% 23.95/4.09 thf(zip_derived_cl1519, plain, (((0) != (sk__31))),
% 23.95/4.09 inference('s_sup-', [status(thm)], [zip_derived_cl1514, zip_derived_cl0])).
% 23.95/4.09 thf(zip_derived_cl1551, plain,
% 23.95/4.09 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i]:
% 23.95/4.09 (~ (nat_succeeds @ X0)
% 23.95/4.09 | ~ (nat_succeeds @ X1)
% 23.95/4.09 | (times_terminates @ X0 @ X1 @ X2)
% 23.95/4.09 | (times_terminates @ sk__34 @ X3 @ X4)
% 23.95/4.09 | ~ (nat_succeeds @ X3))),
% 23.95/4.09 inference('simplify_reflect-', [status(thm)],
% 23.95/4.09 [zip_derived_cl152, zip_derived_cl1519])).
% 23.95/4.09 thf(zip_derived_cl1555, plain,
% 23.95/4.09 (![X0 : $i, X1 : $i]:
% 23.95/4.09 (~ (nat_succeeds @ X1)
% 23.95/4.09 | (times_terminates @ sk__34 @ X1 @ X0)
% 23.95/4.09 | ~ (nat_succeeds @ X1)
% 23.95/4.09 | ~ (nat_succeeds @ sk__34))),
% 23.95/4.09 inference('eq_fact', [status(thm)], [zip_derived_cl1551])).
% 23.95/4.09 thf(zip_derived_cl1557, plain,
% 23.95/4.09 (![X0 : $i, X1 : $i]:
% 23.95/4.09 (~ (nat_succeeds @ sk__34)
% 23.95/4.09 | (times_terminates @ sk__34 @ X1 @ X0)
% 23.95/4.09 | ~ (nat_succeeds @ X1))),
% 23.95/4.09 inference('simplify', [status(thm)], [zip_derived_cl1555])).
% 23.95/4.09 thf(zip_derived_cl151, plain,
% 23.95/4.09 (![X0 : $i, X1 : $i, X2 : $i]:
% 23.95/4.09 (~ (nat_succeeds @ X0)
% 23.95/4.09 | ~ (nat_succeeds @ X1)
% 23.95/4.09 | (times_terminates @ X0 @ X1 @ X2)
% 23.95/4.09 | (nat_succeeds @ sk__34)
% 23.95/4.09 | ((sk__31) = (0)))),
% 23.95/4.09 inference('cnf', [status(esa)], [induction])).
% 23.95/4.09 thf(zip_derived_cl1489, plain,
% 23.95/4.09 (![X0 : $i, X1 : $i, X2 : $i]:
% 23.95/4.09 (((0) != (sk__31))
% 23.95/4.09 | ~ (nat_succeeds @ X0)
% 23.95/4.09 | ~ (nat_succeeds @ X1)
% 23.95/4.09 | (times_terminates @ X0 @ X1 @ X2))),
% 23.95/4.09 inference('s_sup-', [status(thm)], [zip_derived_cl949, zip_derived_cl148])).
% 23.95/4.09 thf(zip_derived_cl1544, plain,
% 23.95/4.09 (![X0 : $i, X1 : $i, X2 : $i]:
% 23.95/4.09 ( (nat_succeeds @ sk__34)
% 23.95/4.09 | (times_terminates @ X0 @ X1 @ X2)
% 23.95/4.09 | ~ (nat_succeeds @ X1)
% 23.95/4.09 | ~ (nat_succeeds @ X0))),
% 23.95/4.09 inference('clc', [status(thm)], [zip_derived_cl151, zip_derived_cl1489])).
% 23.95/4.09 thf(zip_derived_cl153, plain,
% 23.95/4.09 (~ (times_terminates @ sk__35 @ sk__36 @ sk__37)),
% 23.95/4.09 inference('cnf', [status(esa)], [zf_stmt_0])).
% 23.95/4.09 thf(zip_derived_cl1547, plain,
% 23.95/4.09 ((~ (nat_succeeds @ sk__35)
% 23.95/4.09 | ~ (nat_succeeds @ sk__36)
% 23.95/4.09 | (nat_succeeds @ sk__34))),
% 23.95/4.09 inference('s_sup-', [status(thm)],
% 23.95/4.09 [zip_derived_cl1544, zip_derived_cl153])).
% 23.95/4.09 thf(zip_derived_cl154, plain, ( (nat_succeeds @ sk__35)),
% 23.95/4.09 inference('cnf', [status(esa)], [zf_stmt_0])).
% 23.95/4.09 thf(zip_derived_cl155, plain, ( (nat_succeeds @ sk__36)),
% 23.95/4.09 inference('cnf', [status(esa)], [zf_stmt_0])).
% 23.95/4.09 thf(zip_derived_cl1549, plain, ( (nat_succeeds @ sk__34)),
% 23.95/4.09 inference('demod', [status(thm)],
% 23.95/4.09 [zip_derived_cl1547, zip_derived_cl154, zip_derived_cl155])).
% 23.95/4.09 thf(zip_derived_cl1558, plain,
% 23.95/4.09 (![X0 : $i, X1 : $i]:
% 23.95/4.09 ( (times_terminates @ sk__34 @ X1 @ X0) | ~ (nat_succeeds @ X1))),
% 23.95/4.09 inference('demod', [status(thm)],
% 23.95/4.09 [zip_derived_cl1557, zip_derived_cl1549])).
% 23.95/4.09 thf(zip_derived_cl21288, plain,
% 23.95/4.09 (![X0 : $i, X1 : $i, X2 : $i]:
% 23.95/4.09 (((X0) != (sk__31))
% 23.95/4.09 | (times_terminates @ X0 @ X1 @ X2)
% 23.95/4.09 | ~ (nat_succeeds @ X1))),
% 23.95/4.09 inference('clc', [status(thm)], [zip_derived_cl3367, zip_derived_cl1558])).
% 23.95/4.09 thf(zip_derived_cl148, plain,
% 23.95/4.09 (![X0 : $i, X1 : $i, X2 : $i]:
% 23.95/4.09 (~ (nat_succeeds @ X0)
% 23.95/4.09 | ~ (nat_succeeds @ X1)
% 23.95/4.09 | (times_terminates @ X0 @ X1 @ X2)
% 23.95/4.09 | ~ (times_terminates @ sk__31 @ sk__32 @ sk__33))),
% 23.95/4.09 inference('cnf', [status(esa)], [induction])).
% 23.95/4.09 thf(zip_derived_cl21296, plain,
% 23.95/4.09 (![X0 : $i, X1 : $i, X2 : $i]:
% 23.95/4.09 (~ (nat_succeeds @ sk__32)
% 23.95/4.09 | ((sk__31) != (sk__31))
% 23.95/4.09 | ~ (nat_succeeds @ X0)
% 23.95/4.09 | ~ (nat_succeeds @ X1)
% 23.95/4.09 | (times_terminates @ X0 @ X1 @ X2))),
% 23.95/4.09 inference('s_sup-', [status(thm)],
% 23.95/4.09 [zip_derived_cl21288, zip_derived_cl148])).
% 23.95/4.09 thf(zip_derived_cl149, plain,
% 23.95/4.09 (![X0 : $i, X1 : $i, X2 : $i]:
% 23.95/4.09 (~ (nat_succeeds @ X0)
% 23.95/4.09 | ~ (nat_succeeds @ X1)
% 23.95/4.09 | (times_terminates @ X0 @ X1 @ X2)
% 23.95/4.09 | (nat_succeeds @ sk__32))),
% 23.95/4.09 inference('cnf', [status(esa)], [induction])).
% 23.95/4.09 thf(zip_derived_cl153, plain,
% 23.95/4.09 (~ (times_terminates @ sk__35 @ sk__36 @ sk__37)),
% 23.95/4.09 inference('cnf', [status(esa)], [zf_stmt_0])).
% 23.95/4.09 thf(zip_derived_cl1493, plain,
% 23.95/4.09 (( (nat_succeeds @ sk__32)
% 23.95/4.09 | ~ (nat_succeeds @ sk__36)
% 23.95/4.09 | ~ (nat_succeeds @ sk__35))),
% 23.95/4.09 inference('s_sup-', [status(thm)], [zip_derived_cl149, zip_derived_cl153])).
% 23.95/4.09 thf(zip_derived_cl155, plain, ( (nat_succeeds @ sk__36)),
% 23.95/4.09 inference('cnf', [status(esa)], [zf_stmt_0])).
% 23.95/4.09 thf(zip_derived_cl154, plain, ( (nat_succeeds @ sk__35)),
% 23.95/4.09 inference('cnf', [status(esa)], [zf_stmt_0])).
% 23.95/4.09 thf(zip_derived_cl1494, plain, ( (nat_succeeds @ sk__32)),
% 23.95/4.09 inference('demod', [status(thm)],
% 23.95/4.09 [zip_derived_cl1493, zip_derived_cl155, zip_derived_cl154])).
% 23.95/4.09 thf(zip_derived_cl21301, plain,
% 23.95/4.09 (![X0 : $i, X1 : $i, X2 : $i]:
% 23.95/4.09 (((sk__31) != (sk__31))
% 23.95/4.09 | ~ (nat_succeeds @ X0)
% 23.95/4.09 | ~ (nat_succeeds @ X1)
% 23.95/4.09 | (times_terminates @ X0 @ X1 @ X2))),
% 23.95/4.09 inference('demod', [status(thm)],
% 23.95/4.09 [zip_derived_cl21296, zip_derived_cl1494])).
% 23.95/4.09 thf(zip_derived_cl21302, plain,
% 23.95/4.09 (![X0 : $i, X1 : $i, X2 : $i]:
% 23.95/4.09 ( (times_terminates @ X0 @ X1 @ X2)
% 23.95/4.09 | ~ (nat_succeeds @ X1)
% 23.95/4.09 | ~ (nat_succeeds @ X0))),
% 23.95/4.09 inference('simplify', [status(thm)], [zip_derived_cl21301])).
% 23.95/4.09 thf(zip_derived_cl153, plain,
% 23.95/4.09 (~ (times_terminates @ sk__35 @ sk__36 @ sk__37)),
% 23.95/4.09 inference('cnf', [status(esa)], [zf_stmt_0])).
% 23.95/4.09 thf(zip_derived_cl21312, plain,
% 23.95/4.09 ((~ (nat_succeeds @ sk__35) | ~ (nat_succeeds @ sk__36))),
% 23.95/4.09 inference('s_sup-', [status(thm)],
% 23.95/4.09 [zip_derived_cl21302, zip_derived_cl153])).
% 23.95/4.09 thf(zip_derived_cl154, plain, ( (nat_succeeds @ sk__35)),
% 23.95/4.09 inference('cnf', [status(esa)], [zf_stmt_0])).
% 23.95/4.09 thf(zip_derived_cl155, plain, ( (nat_succeeds @ sk__36)),
% 23.95/4.09 inference('cnf', [status(esa)], [zf_stmt_0])).
% 23.95/4.09 thf(zip_derived_cl21317, plain, ($false),
% 23.95/4.09 inference('demod', [status(thm)],
% 23.95/4.09 [zip_derived_cl21312, zip_derived_cl154, zip_derived_cl155])).
% 23.95/4.09
% 23.95/4.09 % SZS output end Refutation
% 23.95/4.09
% 23.95/4.09
% 23.95/4.09 % Terminating...
% 24.86/4.22 % Runner terminated.
% 24.86/4.23 % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------