TSTP Solution File: PUZ056-2.005 by Zipperpin---2.1.9999
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : PUZ056-2.005 : TPTP v8.1.2. Released v3.5.0.
% Transfm : NO INFORMATION
% Format : NO INFORMATION
% Command : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.wAllz7VFZN true
% Computer : n009.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Thu Aug 31 13:30:52 EDT 2023
% Result : Unsatisfiable 4.33s 1.20s
% Output : Refutation 4.33s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : PUZ056-2.005 : TPTP v8.1.2. Released v3.5.0.
% 0.12/0.13 % Command : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.wAllz7VFZN true
% 0.13/0.34 % Computer : n009.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % WCLimit : 300
% 0.13/0.34 % DateTime : Sat Aug 26 22:16:05 EDT 2023
% 0.13/0.34 % CPUTime :
% 0.13/0.34 % Running portfolio for 300 s
% 0.13/0.34 % File : /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.13/0.34 % Number of cores: 8
% 0.13/0.35 % Python version: Python 3.6.8
% 0.19/0.35 % Running in FO mode
% 0.56/0.64 % Total configuration time : 435
% 0.56/0.64 % Estimated wc time : 1092
% 0.56/0.64 % Estimated cpu time (7 cpus) : 156.0
% 0.56/0.70 % /export/starexec/sandbox2/solver/bin/fo/fo6_bce.sh running for 75s
% 0.57/0.72 % /export/starexec/sandbox2/solver/bin/fo/fo3_bce.sh running for 75s
% 0.57/0.74 % /export/starexec/sandbox2/solver/bin/fo/fo1_av.sh running for 75s
% 0.57/0.76 % /export/starexec/sandbox2/solver/bin/fo/fo7.sh running for 63s
% 0.57/0.76 % /export/starexec/sandbox2/solver/bin/fo/fo13.sh running for 50s
% 0.57/0.76 % /export/starexec/sandbox2/solver/bin/fo/fo5.sh running for 50s
% 0.57/0.76 % /export/starexec/sandbox2/solver/bin/fo/fo4.sh running for 50s
% 4.33/1.20 % Solved by fo/fo13.sh.
% 4.33/1.20 % done 964 iterations in 0.413s
% 4.33/1.20 % SZS status Theorem for '/export/starexec/sandbox2/benchmark/theBenchmark.p'
% 4.33/1.20 % SZS output start Refutation
% 4.33/1.20 thf(s0_type, type, s0: $i).
% 4.33/1.20 thf(neq_type, type, neq: $i > $i > $o).
% 4.33/1.20 thf(p_type, type, p: $i > $i > $i > $i > $i > $o).
% 4.33/1.20 thf(s2_type, type, s2: $i).
% 4.33/1.20 thf(s1_type, type, s1: $i).
% 4.33/1.20 thf(goal, conjecture, (p @ s2 @ s2 @ s2 @ s2 @ s2)).
% 4.33/1.20 thf(zf_stmt_0, negated_conjecture, (~( p @ s2 @ s2 @ s2 @ s2 @ s2 )),
% 4.33/1.20 inference('cnf.neg', [status(esa)], [goal])).
% 4.33/1.20 thf(zip_derived_cl15, plain, (~ (p @ s2 @ s2 @ s2 @ s2 @ s2)),
% 4.33/1.20 inference('cnf', [status(esa)], [zf_stmt_0])).
% 4.33/1.20 thf(neq3, axiom, (neq @ s0 @ s2)).
% 4.33/1.20 thf(zip_derived_cl7, plain, ( (neq @ s0 @ s2)),
% 4.33/1.20 inference('cnf', [status(esa)], [neq3])).
% 4.33/1.20 thf(neq2, axiom, (neq @ s0 @ s1)).
% 4.33/1.20 thf(zip_derived_cl6, plain, ( (neq @ s0 @ s1)),
% 4.33/1.20 inference('cnf', [status(esa)], [neq2])).
% 4.33/1.20 thf(neq6, axiom, (neq @ s1 @ s2)).
% 4.33/1.20 thf(zip_derived_cl10, plain, ( (neq @ s1 @ s2)),
% 4.33/1.20 inference('cnf', [status(esa)], [neq6])).
% 4.33/1.20 thf(neq4, axiom, (neq @ s1 @ s0)).
% 4.33/1.20 thf(zip_derived_cl8, plain, ( (neq @ s1 @ s0)),
% 4.33/1.20 inference('cnf', [status(esa)], [neq4])).
% 4.33/1.20 thf(neq8, axiom, (neq @ s2 @ s1)).
% 4.33/1.20 thf(zip_derived_cl12, plain, ( (neq @ s2 @ s1)),
% 4.33/1.20 inference('cnf', [status(esa)], [neq8])).
% 4.33/1.20 thf(neq7, axiom, (neq @ s2 @ s0)).
% 4.33/1.20 thf(zip_derived_cl11, plain, ( (neq @ s2 @ s0)),
% 4.33/1.20 inference('cnf', [status(esa)], [neq7])).
% 4.33/1.20 thf(zip_derived_cl7, plain, ( (neq @ s0 @ s2)),
% 4.33/1.20 inference('cnf', [status(esa)], [neq3])).
% 4.33/1.20 thf(zip_derived_cl7, plain, ( (neq @ s0 @ s2)),
% 4.33/1.20 inference('cnf', [status(esa)], [neq3])).
% 4.33/1.20 thf(zip_derived_cl8, plain, ( (neq @ s1 @ s0)),
% 4.33/1.20 inference('cnf', [status(esa)], [neq4])).
% 4.33/1.20 thf(zip_derived_cl10, plain, ( (neq @ s1 @ s2)),
% 4.33/1.20 inference('cnf', [status(esa)], [neq6])).
% 4.33/1.20 thf(zip_derived_cl11, plain, ( (neq @ s2 @ s0)),
% 4.33/1.20 inference('cnf', [status(esa)], [neq7])).
% 4.33/1.20 thf(zip_derived_cl12, plain, ( (neq @ s2 @ s1)),
% 4.33/1.20 inference('cnf', [status(esa)], [neq8])).
% 4.33/1.20 thf(zip_derived_cl7, plain, ( (neq @ s0 @ s2)),
% 4.33/1.20 inference('cnf', [status(esa)], [neq3])).
% 4.33/1.20 thf(zip_derived_cl6, plain, ( (neq @ s0 @ s1)),
% 4.33/1.20 inference('cnf', [status(esa)], [neq2])).
% 4.33/1.20 thf(zip_derived_cl10, plain, ( (neq @ s1 @ s2)),
% 4.33/1.20 inference('cnf', [status(esa)], [neq6])).
% 4.33/1.20 thf(zip_derived_cl10, plain, ( (neq @ s1 @ s2)),
% 4.33/1.20 inference('cnf', [status(esa)], [neq6])).
% 4.33/1.20 thf(zip_derived_cl12, plain, ( (neq @ s2 @ s1)),
% 4.33/1.20 inference('cnf', [status(esa)], [neq8])).
% 4.33/1.20 thf(zip_derived_cl11, plain, ( (neq @ s2 @ s0)),
% 4.33/1.20 inference('cnf', [status(esa)], [neq7])).
% 4.33/1.20 thf(zip_derived_cl6, plain, ( (neq @ s0 @ s1)),
% 4.33/1.20 inference('cnf', [status(esa)], [neq2])).
% 4.33/1.20 thf(zip_derived_cl7, plain, ( (neq @ s0 @ s2)),
% 4.33/1.20 inference('cnf', [status(esa)], [neq3])).
% 4.33/1.20 thf(zip_derived_cl8, plain, ( (neq @ s1 @ s0)),
% 4.33/1.20 inference('cnf', [status(esa)], [neq4])).
% 4.33/1.20 thf(zip_derived_cl10, plain, ( (neq @ s1 @ s2)),
% 4.33/1.20 inference('cnf', [status(esa)], [neq6])).
% 4.33/1.20 thf(zip_derived_cl12, plain, ( (neq @ s2 @ s1)),
% 4.33/1.20 inference('cnf', [status(esa)], [neq8])).
% 4.33/1.20 thf(zip_derived_cl12, plain, ( (neq @ s2 @ s1)),
% 4.33/1.20 inference('cnf', [status(esa)], [neq8])).
% 4.33/1.20 thf(zip_derived_cl7, plain, ( (neq @ s0 @ s2)),
% 4.33/1.20 inference('cnf', [status(esa)], [neq3])).
% 4.33/1.20 thf(zip_derived_cl6, plain, ( (neq @ s0 @ s1)),
% 4.33/1.20 inference('cnf', [status(esa)], [neq2])).
% 4.33/1.20 thf(zip_derived_cl10, plain, ( (neq @ s1 @ s2)),
% 4.33/1.20 inference('cnf', [status(esa)], [neq6])).
% 4.33/1.20 thf(zip_derived_cl8, plain, ( (neq @ s1 @ s0)),
% 4.33/1.20 inference('cnf', [status(esa)], [neq4])).
% 4.33/1.20 thf(zip_derived_cl12, plain, ( (neq @ s2 @ s1)),
% 4.33/1.20 inference('cnf', [status(esa)], [neq8])).
% 4.33/1.20 thf(zip_derived_cl11, plain, ( (neq @ s2 @ s0)),
% 4.33/1.20 inference('cnf', [status(esa)], [neq7])).
% 4.33/1.20 thf(init, axiom, (p @ s0 @ s0 @ s0 @ s0 @ s0)).
% 4.33/1.20 thf(zip_derived_cl14, plain, ( (p @ s0 @ s0 @ s0 @ s0 @ s0)),
% 4.33/1.20 inference('cnf', [status(esa)], [init])).
% 4.33/1.20 thf(rule1, axiom,
% 4.33/1.20 (( ~( p @ I @ T1 @ T2 @ T3 @ T4 ) ) | ( p @ J @ T1 @ T2 @ T3 @ T4 ))).
% 4.33/1.20 thf(zip_derived_cl0, plain,
% 4.33/1.20 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i]:
% 4.33/1.20 (~ (p @ X0 @ X1 @ X2 @ X3 @ X4) | (p @ X5 @ X1 @ X2 @ X3 @ X4))),
% 4.33/1.20 inference('cnf', [status(esa)], [rule1])).
% 4.33/1.20 thf(zip_derived_cl16, plain, (![X0 : $i]: (p @ X0 @ s0 @ s0 @ s0 @ s0)),
% 4.33/1.20 inference('s_sup-', [status(thm)], [zip_derived_cl14, zip_derived_cl0])).
% 4.33/1.20 thf(rule2, axiom,
% 4.33/1.20 (( ~( p @ T0 @ I @ T2 @ T3 @ T4 ) ) | ( ~( neq @ T0 @ I ) ) |
% 4.33/1.20 ( ~( neq @ T0 @ J ) ) | ( p @ T0 @ J @ T2 @ T3 @ T4 ))).
% 4.33/1.20 thf(zip_derived_cl1, plain,
% 4.33/1.20 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i]:
% 4.33/1.20 (~ (p @ X0 @ X1 @ X2 @ X3 @ X4)
% 4.33/1.20 | ~ (neq @ X0 @ X1)
% 4.33/1.20 | ~ (neq @ X0 @ X5)
% 4.33/1.20 | (p @ X0 @ X5 @ X2 @ X3 @ X4))),
% 4.33/1.20 inference('cnf', [status(esa)], [rule2])).
% 4.33/1.20 thf(zip_derived_cl29, plain,
% 4.33/1.20 (![X0 : $i, X1 : $i]:
% 4.33/1.20 (~ (neq @ X0 @ s0) | ~ (neq @ X0 @ X1) | (p @ X0 @ X1 @ s0 @ s0 @ s0))),
% 4.33/1.20 inference('s_sup-', [status(thm)], [zip_derived_cl16, zip_derived_cl1])).
% 4.33/1.20 thf(zip_derived_cl39, plain,
% 4.33/1.20 (![X0 : $i]: (~ (neq @ s2 @ X0) | (p @ s2 @ X0 @ s0 @ s0 @ s0))),
% 4.33/1.20 inference('s_sup-', [status(thm)], [zip_derived_cl11, zip_derived_cl29])).
% 4.33/1.20 thf(zip_derived_cl41, plain, ( (p @ s2 @ s1 @ s0 @ s0 @ s0)),
% 4.33/1.20 inference('s_sup-', [status(thm)], [zip_derived_cl12, zip_derived_cl39])).
% 4.33/1.20 thf(zip_derived_cl0, plain,
% 4.33/1.20 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i]:
% 4.33/1.20 (~ (p @ X0 @ X1 @ X2 @ X3 @ X4) | (p @ X5 @ X1 @ X2 @ X3 @ X4))),
% 4.33/1.20 inference('cnf', [status(esa)], [rule1])).
% 4.33/1.20 thf(zip_derived_cl42, plain, (![X0 : $i]: (p @ X0 @ s1 @ s0 @ s0 @ s0)),
% 4.33/1.20 inference('s_sup-', [status(thm)], [zip_derived_cl41, zip_derived_cl0])).
% 4.33/1.20 thf(rule3, axiom,
% 4.33/1.20 (( ~( p @ T0 @ T1 @ I @ T3 @ T4 ) ) | ( ~( neq @ T0 @ I ) ) |
% 4.33/1.20 ( ~( neq @ T0 @ J ) ) | ( ~( neq @ T1 @ I ) ) | ( ~( neq @ T1 @ J ) ) |
% 4.33/1.20 ( p @ T0 @ T1 @ J @ T3 @ T4 ))).
% 4.33/1.20 thf(zip_derived_cl2, plain,
% 4.33/1.20 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i]:
% 4.33/1.20 (~ (p @ X0 @ X1 @ X2 @ X3 @ X4)
% 4.33/1.20 | ~ (neq @ X0 @ X2)
% 4.33/1.20 | ~ (neq @ X0 @ X5)
% 4.33/1.20 | ~ (neq @ X1 @ X2)
% 4.33/1.20 | ~ (neq @ X1 @ X5)
% 4.33/1.20 | (p @ X0 @ X1 @ X5 @ X3 @ X4))),
% 4.33/1.20 inference('cnf', [status(esa)], [rule3])).
% 4.33/1.20 thf(zip_derived_cl66, plain,
% 4.33/1.20 (![X0 : $i, X1 : $i]:
% 4.33/1.20 (~ (neq @ X0 @ s0)
% 4.33/1.20 | ~ (neq @ X0 @ X1)
% 4.33/1.20 | ~ (neq @ s1 @ s0)
% 4.33/1.20 | ~ (neq @ s1 @ X1)
% 4.33/1.20 | (p @ X0 @ s1 @ X1 @ s0 @ s0))),
% 4.33/1.20 inference('s_sup-', [status(thm)], [zip_derived_cl42, zip_derived_cl2])).
% 4.33/1.20 thf(zip_derived_cl8, plain, ( (neq @ s1 @ s0)),
% 4.33/1.20 inference('cnf', [status(esa)], [neq4])).
% 4.33/1.20 thf(zip_derived_cl69, plain,
% 4.33/1.20 (![X0 : $i, X1 : $i]:
% 4.33/1.20 (~ (neq @ X0 @ s0)
% 4.33/1.20 | ~ (neq @ X0 @ X1)
% 4.33/1.20 | ~ (neq @ s1 @ X1)
% 4.33/1.20 | (p @ X0 @ s1 @ X1 @ s0 @ s0))),
% 4.33/1.20 inference('demod', [status(thm)], [zip_derived_cl66, zip_derived_cl8])).
% 4.33/1.20 thf(zip_derived_cl99, plain,
% 4.33/1.20 (![X0 : $i]:
% 4.33/1.20 (~ (neq @ s1 @ X0) | ~ (neq @ s1 @ X0) | (p @ s1 @ s1 @ X0 @ s0 @ s0))),
% 4.33/1.20 inference('s_sup-', [status(thm)], [zip_derived_cl8, zip_derived_cl69])).
% 4.33/1.20 thf(zip_derived_cl101, plain,
% 4.33/1.20 (![X0 : $i]: ( (p @ s1 @ s1 @ X0 @ s0 @ s0) | ~ (neq @ s1 @ X0))),
% 4.33/1.20 inference('simplify', [status(thm)], [zip_derived_cl99])).
% 4.33/1.20 thf(zip_derived_cl129, plain, ( (p @ s1 @ s1 @ s2 @ s0 @ s0)),
% 4.33/1.20 inference('s_sup-', [status(thm)], [zip_derived_cl10, zip_derived_cl101])).
% 4.33/1.20 thf(zip_derived_cl0, plain,
% 4.33/1.20 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i]:
% 4.33/1.20 (~ (p @ X0 @ X1 @ X2 @ X3 @ X4) | (p @ X5 @ X1 @ X2 @ X3 @ X4))),
% 4.33/1.20 inference('cnf', [status(esa)], [rule1])).
% 4.33/1.20 thf(zip_derived_cl130, plain, (![X0 : $i]: (p @ X0 @ s1 @ s2 @ s0 @ s0)),
% 4.33/1.20 inference('s_sup-', [status(thm)], [zip_derived_cl129, zip_derived_cl0])).
% 4.33/1.20 thf(zip_derived_cl1, plain,
% 4.33/1.20 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i]:
% 4.33/1.20 (~ (p @ X0 @ X1 @ X2 @ X3 @ X4)
% 4.33/1.20 | ~ (neq @ X0 @ X1)
% 4.33/1.20 | ~ (neq @ X0 @ X5)
% 4.33/1.20 | (p @ X0 @ X5 @ X2 @ X3 @ X4))),
% 4.33/1.20 inference('cnf', [status(esa)], [rule2])).
% 4.33/1.20 thf(zip_derived_cl143, plain,
% 4.33/1.20 (![X0 : $i, X1 : $i]:
% 4.33/1.20 (~ (neq @ X0 @ s1) | ~ (neq @ X0 @ X1) | (p @ X0 @ X1 @ s2 @ s0 @ s0))),
% 4.33/1.20 inference('s_sup-', [status(thm)], [zip_derived_cl130, zip_derived_cl1])).
% 4.33/1.20 thf(zip_derived_cl201, plain,
% 4.33/1.20 (![X0 : $i]: (~ (neq @ s0 @ X0) | (p @ s0 @ X0 @ s2 @ s0 @ s0))),
% 4.33/1.20 inference('s_sup-', [status(thm)], [zip_derived_cl6, zip_derived_cl143])).
% 4.33/1.20 thf(zip_derived_cl229, plain, ( (p @ s0 @ s2 @ s2 @ s0 @ s0)),
% 4.33/1.20 inference('s_sup-', [status(thm)], [zip_derived_cl7, zip_derived_cl201])).
% 4.33/1.20 thf(zip_derived_cl0, plain,
% 4.33/1.20 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i]:
% 4.33/1.20 (~ (p @ X0 @ X1 @ X2 @ X3 @ X4) | (p @ X5 @ X1 @ X2 @ X3 @ X4))),
% 4.33/1.20 inference('cnf', [status(esa)], [rule1])).
% 4.33/1.20 thf(zip_derived_cl230, plain, (![X0 : $i]: (p @ X0 @ s2 @ s2 @ s0 @ s0)),
% 4.33/1.20 inference('s_sup-', [status(thm)], [zip_derived_cl229, zip_derived_cl0])).
% 4.33/1.20 thf(rule4, axiom,
% 4.33/1.20 (( ~( p @ T0 @ T1 @ T2 @ I @ T4 ) ) | ( ~( neq @ T0 @ I ) ) |
% 4.33/1.20 ( ~( neq @ T0 @ J ) ) | ( ~( neq @ T1 @ I ) ) | ( ~( neq @ T1 @ J ) ) |
% 4.33/1.20 ( ~( neq @ T2 @ I ) ) | ( ~( neq @ T2 @ J ) ) |
% 4.33/1.20 ( p @ T0 @ T1 @ T2 @ J @ T4 ))).
% 4.33/1.20 thf(zip_derived_cl3, plain,
% 4.33/1.20 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i]:
% 4.33/1.20 (~ (p @ X0 @ X1 @ X2 @ X3 @ X4)
% 4.33/1.20 | ~ (neq @ X0 @ X3)
% 4.33/1.20 | ~ (neq @ X0 @ X5)
% 4.33/1.20 | ~ (neq @ X1 @ X3)
% 4.33/1.20 | ~ (neq @ X1 @ X5)
% 4.33/1.20 | ~ (neq @ X2 @ X3)
% 4.33/1.20 | ~ (neq @ X2 @ X5)
% 4.33/1.20 | (p @ X0 @ X1 @ X2 @ X5 @ X4))),
% 4.33/1.20 inference('cnf', [status(esa)], [rule4])).
% 4.33/1.20 thf(zip_derived_cl244, plain,
% 4.33/1.20 (![X0 : $i, X1 : $i]:
% 4.33/1.20 (~ (neq @ X0 @ s0)
% 4.33/1.20 | ~ (neq @ X0 @ X1)
% 4.33/1.20 | ~ (neq @ s2 @ s0)
% 4.33/1.20 | ~ (neq @ s2 @ X1)
% 4.33/1.20 | ~ (neq @ s2 @ s0)
% 4.33/1.20 | ~ (neq @ s2 @ X1)
% 4.33/1.20 | (p @ X0 @ s2 @ s2 @ X1 @ s0))),
% 4.33/1.20 inference('s_sup-', [status(thm)], [zip_derived_cl230, zip_derived_cl3])).
% 4.33/1.20 thf(zip_derived_cl11, plain, ( (neq @ s2 @ s0)),
% 4.33/1.20 inference('cnf', [status(esa)], [neq7])).
% 4.33/1.20 thf(zip_derived_cl11, plain, ( (neq @ s2 @ s0)),
% 4.33/1.20 inference('cnf', [status(esa)], [neq7])).
% 4.33/1.20 thf(zip_derived_cl247, plain,
% 4.33/1.20 (![X0 : $i, X1 : $i]:
% 4.33/1.20 (~ (neq @ X0 @ s0)
% 4.33/1.20 | ~ (neq @ X0 @ X1)
% 4.33/1.20 | ~ (neq @ s2 @ X1)
% 4.33/1.20 | ~ (neq @ s2 @ X1)
% 4.33/1.20 | (p @ X0 @ s2 @ s2 @ X1 @ s0))),
% 4.33/1.20 inference('demod', [status(thm)],
% 4.33/1.20 [zip_derived_cl244, zip_derived_cl11, zip_derived_cl11])).
% 4.33/1.20 thf(zip_derived_cl248, plain,
% 4.33/1.20 (![X0 : $i, X1 : $i]:
% 4.33/1.20 ( (p @ X0 @ s2 @ s2 @ X1 @ s0)
% 4.33/1.20 | ~ (neq @ s2 @ X1)
% 4.33/1.20 | ~ (neq @ X0 @ X1)
% 4.33/1.20 | ~ (neq @ X0 @ s0))),
% 4.33/1.20 inference('simplify', [status(thm)], [zip_derived_cl247])).
% 4.33/1.20 thf(zip_derived_cl287, plain,
% 4.33/1.20 (![X0 : $i]:
% 4.33/1.20 ( (p @ X0 @ s2 @ s2 @ s1 @ s0) | ~ (neq @ X0 @ s1) | ~ (neq @ X0 @ s0))),
% 4.33/1.20 inference('s_sup-', [status(thm)], [zip_derived_cl12, zip_derived_cl248])).
% 4.33/1.20 thf(zip_derived_cl299, plain,
% 4.33/1.20 (( (p @ s2 @ s2 @ s2 @ s1 @ s0) | ~ (neq @ s2 @ s0))),
% 4.33/1.20 inference('s_sup-', [status(thm)], [zip_derived_cl12, zip_derived_cl287])).
% 4.33/1.20 thf(zip_derived_cl11, plain, ( (neq @ s2 @ s0)),
% 4.33/1.20 inference('cnf', [status(esa)], [neq7])).
% 4.33/1.20 thf(zip_derived_cl301, plain, ( (p @ s2 @ s2 @ s2 @ s1 @ s0)),
% 4.33/1.20 inference('demod', [status(thm)], [zip_derived_cl299, zip_derived_cl11])).
% 4.33/1.20 thf(zip_derived_cl0, plain,
% 4.33/1.20 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i]:
% 4.33/1.20 (~ (p @ X0 @ X1 @ X2 @ X3 @ X4) | (p @ X5 @ X1 @ X2 @ X3 @ X4))),
% 4.33/1.20 inference('cnf', [status(esa)], [rule1])).
% 4.33/1.20 thf(zip_derived_cl302, plain, (![X0 : $i]: (p @ X0 @ s2 @ s2 @ s1 @ s0)),
% 4.33/1.20 inference('s_sup-', [status(thm)], [zip_derived_cl301, zip_derived_cl0])).
% 4.33/1.20 thf(zip_derived_cl1, plain,
% 4.33/1.20 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i]:
% 4.33/1.20 (~ (p @ X0 @ X1 @ X2 @ X3 @ X4)
% 4.33/1.20 | ~ (neq @ X0 @ X1)
% 4.33/1.20 | ~ (neq @ X0 @ X5)
% 4.33/1.20 | (p @ X0 @ X5 @ X2 @ X3 @ X4))),
% 4.33/1.20 inference('cnf', [status(esa)], [rule2])).
% 4.33/1.20 thf(zip_derived_cl315, plain,
% 4.33/1.20 (![X0 : $i, X1 : $i]:
% 4.33/1.20 (~ (neq @ X0 @ s2) | ~ (neq @ X0 @ X1) | (p @ X0 @ X1 @ s2 @ s1 @ s0))),
% 4.33/1.20 inference('s_sup-', [status(thm)], [zip_derived_cl302, zip_derived_cl1])).
% 4.33/1.20 thf(zip_derived_cl332, plain,
% 4.33/1.20 (![X0 : $i]: (~ (neq @ s1 @ X0) | (p @ s1 @ X0 @ s2 @ s1 @ s0))),
% 4.33/1.20 inference('s_sup-', [status(thm)], [zip_derived_cl10, zip_derived_cl315])).
% 4.33/1.20 thf(zip_derived_cl361, plain, ( (p @ s1 @ s0 @ s2 @ s1 @ s0)),
% 4.33/1.20 inference('s_sup-', [status(thm)], [zip_derived_cl8, zip_derived_cl332])).
% 4.33/1.20 thf(zip_derived_cl0, plain,
% 4.33/1.20 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i]:
% 4.33/1.20 (~ (p @ X0 @ X1 @ X2 @ X3 @ X4) | (p @ X5 @ X1 @ X2 @ X3 @ X4))),
% 4.33/1.20 inference('cnf', [status(esa)], [rule1])).
% 4.33/1.20 thf(zip_derived_cl363, plain, (![X0 : $i]: (p @ X0 @ s0 @ s2 @ s1 @ s0)),
% 4.33/1.20 inference('s_sup-', [status(thm)], [zip_derived_cl361, zip_derived_cl0])).
% 4.33/1.20 thf(zip_derived_cl2, plain,
% 4.33/1.20 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i]:
% 4.33/1.20 (~ (p @ X0 @ X1 @ X2 @ X3 @ X4)
% 4.33/1.20 | ~ (neq @ X0 @ X2)
% 4.33/1.20 | ~ (neq @ X0 @ X5)
% 4.33/1.20 | ~ (neq @ X1 @ X2)
% 4.33/1.20 | ~ (neq @ X1 @ X5)
% 4.33/1.20 | (p @ X0 @ X1 @ X5 @ X3 @ X4))),
% 4.33/1.20 inference('cnf', [status(esa)], [rule3])).
% 4.33/1.20 thf(zip_derived_cl375, plain,
% 4.33/1.20 (![X0 : $i, X1 : $i]:
% 4.33/1.20 (~ (neq @ X0 @ s2)
% 4.33/1.20 | ~ (neq @ X0 @ X1)
% 4.33/1.20 | ~ (neq @ s0 @ s2)
% 4.33/1.20 | ~ (neq @ s0 @ X1)
% 4.33/1.20 | (p @ X0 @ s0 @ X1 @ s1 @ s0))),
% 4.33/1.20 inference('s_sup-', [status(thm)], [zip_derived_cl363, zip_derived_cl2])).
% 4.33/1.20 thf(zip_derived_cl7, plain, ( (neq @ s0 @ s2)),
% 4.33/1.20 inference('cnf', [status(esa)], [neq3])).
% 4.33/1.20 thf(zip_derived_cl378, plain,
% 4.33/1.20 (![X0 : $i, X1 : $i]:
% 4.33/1.20 (~ (neq @ X0 @ s2)
% 4.33/1.20 | ~ (neq @ X0 @ X1)
% 4.33/1.20 | ~ (neq @ s0 @ X1)
% 4.33/1.20 | (p @ X0 @ s0 @ X1 @ s1 @ s0))),
% 4.33/1.20 inference('demod', [status(thm)], [zip_derived_cl375, zip_derived_cl7])).
% 4.33/1.20 thf(zip_derived_cl553, plain,
% 4.33/1.20 (![X0 : $i]:
% 4.33/1.20 (~ (neq @ s0 @ X0) | ~ (neq @ s0 @ X0) | (p @ s0 @ s0 @ X0 @ s1 @ s0))),
% 4.33/1.20 inference('s_sup-', [status(thm)], [zip_derived_cl7, zip_derived_cl378])).
% 4.33/1.20 thf(zip_derived_cl555, plain,
% 4.33/1.20 (![X0 : $i]: ( (p @ s0 @ s0 @ X0 @ s1 @ s0) | ~ (neq @ s0 @ X0))),
% 4.33/1.20 inference('simplify', [status(thm)], [zip_derived_cl553])).
% 4.33/1.20 thf(zip_derived_cl565, plain, ( (p @ s0 @ s0 @ s1 @ s1 @ s0)),
% 4.33/1.20 inference('s_sup-', [status(thm)], [zip_derived_cl6, zip_derived_cl555])).
% 4.33/1.20 thf(zip_derived_cl0, plain,
% 4.33/1.20 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i]:
% 4.33/1.20 (~ (p @ X0 @ X1 @ X2 @ X3 @ X4) | (p @ X5 @ X1 @ X2 @ X3 @ X4))),
% 4.33/1.20 inference('cnf', [status(esa)], [rule1])).
% 4.33/1.20 thf(zip_derived_cl567, plain, (![X0 : $i]: (p @ X0 @ s0 @ s1 @ s1 @ s0)),
% 4.33/1.20 inference('s_sup-', [status(thm)], [zip_derived_cl565, zip_derived_cl0])).
% 4.33/1.20 thf(zip_derived_cl1, plain,
% 4.33/1.20 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i]:
% 4.33/1.20 (~ (p @ X0 @ X1 @ X2 @ X3 @ X4)
% 4.33/1.20 | ~ (neq @ X0 @ X1)
% 4.33/1.20 | ~ (neq @ X0 @ X5)
% 4.33/1.20 | (p @ X0 @ X5 @ X2 @ X3 @ X4))),
% 4.33/1.20 inference('cnf', [status(esa)], [rule2])).
% 4.33/1.20 thf(zip_derived_cl580, plain,
% 4.33/1.20 (![X0 : $i, X1 : $i]:
% 4.33/1.20 (~ (neq @ X0 @ s0) | ~ (neq @ X0 @ X1) | (p @ X0 @ X1 @ s1 @ s1 @ s0))),
% 4.33/1.20 inference('s_sup-', [status(thm)], [zip_derived_cl567, zip_derived_cl1])).
% 4.33/1.20 thf(zip_derived_cl705, plain,
% 4.33/1.20 (![X0 : $i]: (~ (neq @ s2 @ X0) | (p @ s2 @ X0 @ s1 @ s1 @ s0))),
% 4.33/1.20 inference('s_sup-', [status(thm)], [zip_derived_cl11, zip_derived_cl580])).
% 4.33/1.20 thf(zip_derived_cl729, plain, ( (p @ s2 @ s1 @ s1 @ s1 @ s0)),
% 4.33/1.20 inference('s_sup-', [status(thm)], [zip_derived_cl12, zip_derived_cl705])).
% 4.33/1.20 thf(zip_derived_cl0, plain,
% 4.33/1.20 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i]:
% 4.33/1.20 (~ (p @ X0 @ X1 @ X2 @ X3 @ X4) | (p @ X5 @ X1 @ X2 @ X3 @ X4))),
% 4.33/1.20 inference('cnf', [status(esa)], [rule1])).
% 4.33/1.20 thf(zip_derived_cl730, plain, (![X0 : $i]: (p @ X0 @ s1 @ s1 @ s1 @ s0)),
% 4.33/1.20 inference('s_sup-', [status(thm)], [zip_derived_cl729, zip_derived_cl0])).
% 4.33/1.20 thf(rule5, axiom,
% 4.33/1.20 (( ~( p @ T0 @ T1 @ T2 @ T3 @ I ) ) | ( ~( neq @ T0 @ I ) ) |
% 4.33/1.20 ( ~( neq @ T0 @ J ) ) | ( ~( neq @ T1 @ I ) ) | ( ~( neq @ T1 @ J ) ) |
% 4.33/1.20 ( ~( neq @ T2 @ I ) ) | ( ~( neq @ T2 @ J ) ) | ( ~( neq @ T3 @ I ) ) |
% 4.33/1.20 ( ~( neq @ T3 @ J ) ) | ( p @ T0 @ T1 @ T2 @ T3 @ J ))).
% 4.33/1.20 thf(zip_derived_cl4, plain,
% 4.33/1.20 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i]:
% 4.33/1.20 (~ (p @ X0 @ X1 @ X2 @ X3 @ X4)
% 4.33/1.20 | ~ (neq @ X0 @ X4)
% 4.33/1.20 | ~ (neq @ X0 @ X5)
% 4.33/1.20 | ~ (neq @ X1 @ X4)
% 4.33/1.20 | ~ (neq @ X1 @ X5)
% 4.33/1.20 | ~ (neq @ X2 @ X4)
% 4.33/1.20 | ~ (neq @ X2 @ X5)
% 4.33/1.20 | ~ (neq @ X3 @ X4)
% 4.33/1.20 | ~ (neq @ X3 @ X5)
% 4.33/1.20 | (p @ X0 @ X1 @ X2 @ X3 @ X5))),
% 4.33/1.20 inference('cnf', [status(esa)], [rule5])).
% 4.33/1.20 thf(zip_derived_cl745, plain,
% 4.33/1.20 (![X0 : $i, X1 : $i]:
% 4.33/1.20 (~ (neq @ X0 @ s0)
% 4.33/1.20 | ~ (neq @ X0 @ X1)
% 4.33/1.20 | ~ (neq @ s1 @ s0)
% 4.33/1.20 | ~ (neq @ s1 @ X1)
% 4.33/1.20 | ~ (neq @ s1 @ s0)
% 4.33/1.20 | ~ (neq @ s1 @ X1)
% 4.33/1.20 | ~ (neq @ s1 @ s0)
% 4.33/1.20 | ~ (neq @ s1 @ X1)
% 4.33/1.20 | (p @ X0 @ s1 @ s1 @ s1 @ X1))),
% 4.33/1.20 inference('s_sup-', [status(thm)], [zip_derived_cl730, zip_derived_cl4])).
% 4.33/1.20 thf(zip_derived_cl8, plain, ( (neq @ s1 @ s0)),
% 4.33/1.20 inference('cnf', [status(esa)], [neq4])).
% 4.33/1.20 thf(zip_derived_cl8, plain, ( (neq @ s1 @ s0)),
% 4.33/1.20 inference('cnf', [status(esa)], [neq4])).
% 4.33/1.20 thf(zip_derived_cl8, plain, ( (neq @ s1 @ s0)),
% 4.33/1.20 inference('cnf', [status(esa)], [neq4])).
% 4.33/1.20 thf(zip_derived_cl749, plain,
% 4.33/1.20 (![X0 : $i, X1 : $i]:
% 4.33/1.20 (~ (neq @ X0 @ s0)
% 4.33/1.20 | ~ (neq @ X0 @ X1)
% 4.33/1.20 | ~ (neq @ s1 @ X1)
% 4.33/1.20 | ~ (neq @ s1 @ X1)
% 4.33/1.20 | ~ (neq @ s1 @ X1)
% 4.33/1.20 | (p @ X0 @ s1 @ s1 @ s1 @ X1))),
% 4.33/1.20 inference('demod', [status(thm)],
% 4.33/1.20 [zip_derived_cl745, zip_derived_cl8, zip_derived_cl8,
% 4.33/1.20 zip_derived_cl8])).
% 4.33/1.20 thf(zip_derived_cl750, plain,
% 4.33/1.20 (![X0 : $i, X1 : $i]:
% 4.33/1.20 ( (p @ X0 @ s1 @ s1 @ s1 @ X1)
% 4.33/1.20 | ~ (neq @ s1 @ X1)
% 4.33/1.20 | ~ (neq @ X0 @ X1)
% 4.33/1.20 | ~ (neq @ X0 @ s0))),
% 4.33/1.20 inference('simplify', [status(thm)], [zip_derived_cl749])).
% 4.33/1.20 thf(zip_derived_cl1082, plain,
% 4.33/1.20 (![X0 : $i]:
% 4.33/1.20 ( (p @ X0 @ s1 @ s1 @ s1 @ s2) | ~ (neq @ X0 @ s2) | ~ (neq @ X0 @ s0))),
% 4.33/1.20 inference('s_sup-', [status(thm)], [zip_derived_cl10, zip_derived_cl750])).
% 4.33/1.20 thf(zip_derived_cl1086, plain,
% 4.33/1.20 (( (p @ s1 @ s1 @ s1 @ s1 @ s2) | ~ (neq @ s1 @ s0))),
% 4.33/1.20 inference('s_sup-', [status(thm)], [zip_derived_cl10, zip_derived_cl1082])).
% 4.33/1.20 thf(zip_derived_cl8, plain, ( (neq @ s1 @ s0)),
% 4.33/1.20 inference('cnf', [status(esa)], [neq4])).
% 4.33/1.20 thf(zip_derived_cl1088, plain, ( (p @ s1 @ s1 @ s1 @ s1 @ s2)),
% 4.33/1.20 inference('demod', [status(thm)], [zip_derived_cl1086, zip_derived_cl8])).
% 4.33/1.20 thf(zip_derived_cl0, plain,
% 4.33/1.20 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i]:
% 4.33/1.20 (~ (p @ X0 @ X1 @ X2 @ X3 @ X4) | (p @ X5 @ X1 @ X2 @ X3 @ X4))),
% 4.33/1.20 inference('cnf', [status(esa)], [rule1])).
% 4.33/1.20 thf(zip_derived_cl1089, plain, (![X0 : $i]: (p @ X0 @ s1 @ s1 @ s1 @ s2)),
% 4.33/1.20 inference('s_sup-', [status(thm)], [zip_derived_cl1088, zip_derived_cl0])).
% 4.33/1.20 thf(zip_derived_cl1, plain,
% 4.33/1.20 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i]:
% 4.33/1.20 (~ (p @ X0 @ X1 @ X2 @ X3 @ X4)
% 4.33/1.20 | ~ (neq @ X0 @ X1)
% 4.33/1.20 | ~ (neq @ X0 @ X5)
% 4.33/1.20 | (p @ X0 @ X5 @ X2 @ X3 @ X4))),
% 4.33/1.20 inference('cnf', [status(esa)], [rule2])).
% 4.33/1.20 thf(zip_derived_cl1102, plain,
% 4.33/1.20 (![X0 : $i, X1 : $i]:
% 4.33/1.20 (~ (neq @ X0 @ s1) | ~ (neq @ X0 @ X1) | (p @ X0 @ X1 @ s1 @ s1 @ s2))),
% 4.33/1.20 inference('s_sup-', [status(thm)], [zip_derived_cl1089, zip_derived_cl1])).
% 4.33/1.20 thf(zip_derived_cl1116, plain,
% 4.33/1.20 (![X0 : $i]: (~ (neq @ s0 @ X0) | (p @ s0 @ X0 @ s1 @ s1 @ s2))),
% 4.33/1.20 inference('s_sup-', [status(thm)], [zip_derived_cl6, zip_derived_cl1102])).
% 4.33/1.20 thf(zip_derived_cl1119, plain, ( (p @ s0 @ s2 @ s1 @ s1 @ s2)),
% 4.33/1.20 inference('s_sup-', [status(thm)], [zip_derived_cl7, zip_derived_cl1116])).
% 4.33/1.20 thf(zip_derived_cl0, plain,
% 4.33/1.20 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i]:
% 4.33/1.20 (~ (p @ X0 @ X1 @ X2 @ X3 @ X4) | (p @ X5 @ X1 @ X2 @ X3 @ X4))),
% 4.33/1.20 inference('cnf', [status(esa)], [rule1])).
% 4.33/1.20 thf(zip_derived_cl1120, plain, (![X0 : $i]: (p @ X0 @ s2 @ s1 @ s1 @ s2)),
% 4.33/1.20 inference('s_sup-', [status(thm)], [zip_derived_cl1119, zip_derived_cl0])).
% 4.33/1.20 thf(zip_derived_cl2, plain,
% 4.33/1.20 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i]:
% 4.33/1.20 (~ (p @ X0 @ X1 @ X2 @ X3 @ X4)
% 4.33/1.20 | ~ (neq @ X0 @ X2)
% 4.33/1.20 | ~ (neq @ X0 @ X5)
% 4.33/1.20 | ~ (neq @ X1 @ X2)
% 4.33/1.20 | ~ (neq @ X1 @ X5)
% 4.33/1.20 | (p @ X0 @ X1 @ X5 @ X3 @ X4))),
% 4.33/1.20 inference('cnf', [status(esa)], [rule3])).
% 4.33/1.20 thf(zip_derived_cl1132, plain,
% 4.33/1.20 (![X0 : $i, X1 : $i]:
% 4.33/1.20 (~ (neq @ X0 @ s1)
% 4.33/1.20 | ~ (neq @ X0 @ X1)
% 4.33/1.20 | ~ (neq @ s2 @ s1)
% 4.33/1.20 | ~ (neq @ s2 @ X1)
% 4.33/1.20 | (p @ X0 @ s2 @ X1 @ s1 @ s2))),
% 4.33/1.20 inference('s_sup-', [status(thm)], [zip_derived_cl1120, zip_derived_cl2])).
% 4.33/1.20 thf(zip_derived_cl12, plain, ( (neq @ s2 @ s1)),
% 4.33/1.20 inference('cnf', [status(esa)], [neq8])).
% 4.33/1.20 thf(zip_derived_cl1135, plain,
% 4.33/1.20 (![X0 : $i, X1 : $i]:
% 4.33/1.20 (~ (neq @ X0 @ s1)
% 4.33/1.20 | ~ (neq @ X0 @ X1)
% 4.33/1.20 | ~ (neq @ s2 @ X1)
% 4.33/1.20 | (p @ X0 @ s2 @ X1 @ s1 @ s2))),
% 4.33/1.20 inference('demod', [status(thm)], [zip_derived_cl1132, zip_derived_cl12])).
% 4.33/1.20 thf(zip_derived_cl1296, plain,
% 4.33/1.20 (![X0 : $i]:
% 4.33/1.20 (~ (neq @ s2 @ X0) | ~ (neq @ s2 @ X0) | (p @ s2 @ s2 @ X0 @ s1 @ s2))),
% 4.33/1.20 inference('s_sup-', [status(thm)], [zip_derived_cl12, zip_derived_cl1135])).
% 4.33/1.20 thf(zip_derived_cl1297, plain,
% 4.33/1.20 (![X0 : $i]: ( (p @ s2 @ s2 @ X0 @ s1 @ s2) | ~ (neq @ s2 @ X0))),
% 4.33/1.20 inference('simplify', [status(thm)], [zip_derived_cl1296])).
% 4.33/1.20 thf(zip_derived_cl1298, plain, ( (p @ s2 @ s2 @ s0 @ s1 @ s2)),
% 4.33/1.20 inference('s_sup-', [status(thm)], [zip_derived_cl11, zip_derived_cl1297])).
% 4.33/1.20 thf(zip_derived_cl0, plain,
% 4.33/1.20 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i]:
% 4.33/1.20 (~ (p @ X0 @ X1 @ X2 @ X3 @ X4) | (p @ X5 @ X1 @ X2 @ X3 @ X4))),
% 4.33/1.20 inference('cnf', [status(esa)], [rule1])).
% 4.33/1.20 thf(zip_derived_cl1300, plain, (![X0 : $i]: (p @ X0 @ s2 @ s0 @ s1 @ s2)),
% 4.33/1.20 inference('s_sup-', [status(thm)], [zip_derived_cl1298, zip_derived_cl0])).
% 4.33/1.20 thf(zip_derived_cl1, plain,
% 4.33/1.20 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i]:
% 4.33/1.20 (~ (p @ X0 @ X1 @ X2 @ X3 @ X4)
% 4.33/1.20 | ~ (neq @ X0 @ X1)
% 4.33/1.20 | ~ (neq @ X0 @ X5)
% 4.33/1.20 | (p @ X0 @ X5 @ X2 @ X3 @ X4))),
% 4.33/1.20 inference('cnf', [status(esa)], [rule2])).
% 4.33/1.20 thf(zip_derived_cl1313, plain,
% 4.33/1.20 (![X0 : $i, X1 : $i]:
% 4.33/1.20 (~ (neq @ X0 @ s2) | ~ (neq @ X0 @ X1) | (p @ X0 @ X1 @ s0 @ s1 @ s2))),
% 4.33/1.20 inference('s_sup-', [status(thm)], [zip_derived_cl1300, zip_derived_cl1])).
% 4.33/1.20 thf(zip_derived_cl1479, plain,
% 4.33/1.20 (![X0 : $i]: (~ (neq @ s1 @ X0) | (p @ s1 @ X0 @ s0 @ s1 @ s2))),
% 4.33/1.20 inference('s_sup-', [status(thm)], [zip_derived_cl10, zip_derived_cl1313])).
% 4.33/1.20 thf(zip_derived_cl1502, plain, ( (p @ s1 @ s0 @ s0 @ s1 @ s2)),
% 4.33/1.20 inference('s_sup-', [status(thm)], [zip_derived_cl8, zip_derived_cl1479])).
% 4.33/1.20 thf(zip_derived_cl0, plain,
% 4.33/1.20 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i]:
% 4.33/1.20 (~ (p @ X0 @ X1 @ X2 @ X3 @ X4) | (p @ X5 @ X1 @ X2 @ X3 @ X4))),
% 4.33/1.20 inference('cnf', [status(esa)], [rule1])).
% 4.33/1.20 thf(zip_derived_cl1504, plain, (![X0 : $i]: (p @ X0 @ s0 @ s0 @ s1 @ s2)),
% 4.33/1.20 inference('s_sup-', [status(thm)], [zip_derived_cl1502, zip_derived_cl0])).
% 4.33/1.20 thf(zip_derived_cl3, plain,
% 4.33/1.20 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i]:
% 4.33/1.20 (~ (p @ X0 @ X1 @ X2 @ X3 @ X4)
% 4.33/1.20 | ~ (neq @ X0 @ X3)
% 4.33/1.20 | ~ (neq @ X0 @ X5)
% 4.33/1.20 | ~ (neq @ X1 @ X3)
% 4.33/1.20 | ~ (neq @ X1 @ X5)
% 4.33/1.20 | ~ (neq @ X2 @ X3)
% 4.33/1.20 | ~ (neq @ X2 @ X5)
% 4.33/1.20 | (p @ X0 @ X1 @ X2 @ X5 @ X4))),
% 4.33/1.20 inference('cnf', [status(esa)], [rule4])).
% 4.33/1.20 thf(zip_derived_cl1518, plain,
% 4.33/1.20 (![X0 : $i, X1 : $i]:
% 4.33/1.20 (~ (neq @ X0 @ s1)
% 4.33/1.20 | ~ (neq @ X0 @ X1)
% 4.33/1.20 | ~ (neq @ s0 @ s1)
% 4.33/1.20 | ~ (neq @ s0 @ X1)
% 4.33/1.20 | ~ (neq @ s0 @ s1)
% 4.33/1.20 | ~ (neq @ s0 @ X1)
% 4.33/1.20 | (p @ X0 @ s0 @ s0 @ X1 @ s2))),
% 4.33/1.20 inference('s_sup-', [status(thm)], [zip_derived_cl1504, zip_derived_cl3])).
% 4.33/1.20 thf(zip_derived_cl6, plain, ( (neq @ s0 @ s1)),
% 4.33/1.20 inference('cnf', [status(esa)], [neq2])).
% 4.33/1.20 thf(zip_derived_cl6, plain, ( (neq @ s0 @ s1)),
% 4.33/1.20 inference('cnf', [status(esa)], [neq2])).
% 4.33/1.20 thf(zip_derived_cl1521, plain,
% 4.33/1.20 (![X0 : $i, X1 : $i]:
% 4.33/1.20 (~ (neq @ X0 @ s1)
% 4.33/1.20 | ~ (neq @ X0 @ X1)
% 4.33/1.20 | ~ (neq @ s0 @ X1)
% 4.33/1.20 | ~ (neq @ s0 @ X1)
% 4.33/1.20 | (p @ X0 @ s0 @ s0 @ X1 @ s2))),
% 4.33/1.20 inference('demod', [status(thm)],
% 4.33/1.20 [zip_derived_cl1518, zip_derived_cl6, zip_derived_cl6])).
% 4.33/1.20 thf(zip_derived_cl1522, plain,
% 4.33/1.20 (![X0 : $i, X1 : $i]:
% 4.33/1.20 ( (p @ X0 @ s0 @ s0 @ X1 @ s2)
% 4.33/1.20 | ~ (neq @ s0 @ X1)
% 4.33/1.20 | ~ (neq @ X0 @ X1)
% 4.33/1.20 | ~ (neq @ X0 @ s1))),
% 4.33/1.20 inference('simplify', [status(thm)], [zip_derived_cl1521])).
% 4.33/1.20 thf(zip_derived_cl1907, plain,
% 4.33/1.20 (![X0 : $i]:
% 4.33/1.20 ( (p @ X0 @ s0 @ s0 @ s2 @ s2) | ~ (neq @ X0 @ s2) | ~ (neq @ X0 @ s1))),
% 4.33/1.20 inference('s_sup-', [status(thm)], [zip_derived_cl7, zip_derived_cl1522])).
% 4.33/1.20 thf(zip_derived_cl1919, plain,
% 4.33/1.20 (( (p @ s0 @ s0 @ s0 @ s2 @ s2) | ~ (neq @ s0 @ s1))),
% 4.33/1.20 inference('s_sup-', [status(thm)], [zip_derived_cl7, zip_derived_cl1907])).
% 4.33/1.20 thf(zip_derived_cl6, plain, ( (neq @ s0 @ s1)),
% 4.33/1.20 inference('cnf', [status(esa)], [neq2])).
% 4.33/1.20 thf(zip_derived_cl1921, plain, ( (p @ s0 @ s0 @ s0 @ s2 @ s2)),
% 4.33/1.20 inference('demod', [status(thm)], [zip_derived_cl1919, zip_derived_cl6])).
% 4.33/1.20 thf(zip_derived_cl0, plain,
% 4.33/1.20 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i]:
% 4.33/1.20 (~ (p @ X0 @ X1 @ X2 @ X3 @ X4) | (p @ X5 @ X1 @ X2 @ X3 @ X4))),
% 4.33/1.20 inference('cnf', [status(esa)], [rule1])).
% 4.33/1.20 thf(zip_derived_cl1923, plain, (![X0 : $i]: (p @ X0 @ s0 @ s0 @ s2 @ s2)),
% 4.33/1.20 inference('s_sup-', [status(thm)], [zip_derived_cl1921, zip_derived_cl0])).
% 4.33/1.20 thf(zip_derived_cl1, plain,
% 4.33/1.20 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i]:
% 4.33/1.20 (~ (p @ X0 @ X1 @ X2 @ X3 @ X4)
% 4.33/1.20 | ~ (neq @ X0 @ X1)
% 4.33/1.20 | ~ (neq @ X0 @ X5)
% 4.33/1.20 | (p @ X0 @ X5 @ X2 @ X3 @ X4))),
% 4.33/1.20 inference('cnf', [status(esa)], [rule2])).
% 4.33/1.20 thf(zip_derived_cl1936, plain,
% 4.33/1.20 (![X0 : $i, X1 : $i]:
% 4.33/1.20 (~ (neq @ X0 @ s0) | ~ (neq @ X0 @ X1) | (p @ X0 @ X1 @ s0 @ s2 @ s2))),
% 4.33/1.20 inference('s_sup-', [status(thm)], [zip_derived_cl1923, zip_derived_cl1])).
% 4.33/1.20 thf(zip_derived_cl1958, plain,
% 4.33/1.20 (![X0 : $i]: (~ (neq @ s2 @ X0) | (p @ s2 @ X0 @ s0 @ s2 @ s2))),
% 4.33/1.20 inference('s_sup-', [status(thm)], [zip_derived_cl11, zip_derived_cl1936])).
% 4.33/1.20 thf(zip_derived_cl1960, plain, ( (p @ s2 @ s1 @ s0 @ s2 @ s2)),
% 4.33/1.20 inference('s_sup-', [status(thm)], [zip_derived_cl12, zip_derived_cl1958])).
% 4.33/1.20 thf(zip_derived_cl0, plain,
% 4.33/1.20 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i]:
% 4.33/1.20 (~ (p @ X0 @ X1 @ X2 @ X3 @ X4) | (p @ X5 @ X1 @ X2 @ X3 @ X4))),
% 4.33/1.20 inference('cnf', [status(esa)], [rule1])).
% 4.33/1.20 thf(zip_derived_cl1964, plain, (![X0 : $i]: (p @ X0 @ s1 @ s0 @ s2 @ s2)),
% 4.33/1.20 inference('s_sup-', [status(thm)], [zip_derived_cl1960, zip_derived_cl0])).
% 4.33/1.20 thf(zip_derived_cl2, plain,
% 4.33/1.20 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i]:
% 4.33/1.20 (~ (p @ X0 @ X1 @ X2 @ X3 @ X4)
% 4.33/1.20 | ~ (neq @ X0 @ X2)
% 4.33/1.20 | ~ (neq @ X0 @ X5)
% 4.33/1.20 | ~ (neq @ X1 @ X2)
% 4.33/1.20 | ~ (neq @ X1 @ X5)
% 4.33/1.20 | (p @ X0 @ X1 @ X5 @ X3 @ X4))),
% 4.33/1.20 inference('cnf', [status(esa)], [rule3])).
% 4.33/1.20 thf(zip_derived_cl1976, plain,
% 4.33/1.20 (![X0 : $i, X1 : $i]:
% 4.33/1.20 (~ (neq @ X0 @ s0)
% 4.33/1.20 | ~ (neq @ X0 @ X1)
% 4.33/1.20 | ~ (neq @ s1 @ s0)
% 4.33/1.20 | ~ (neq @ s1 @ X1)
% 4.33/1.20 | (p @ X0 @ s1 @ X1 @ s2 @ s2))),
% 4.33/1.20 inference('s_sup-', [status(thm)], [zip_derived_cl1964, zip_derived_cl2])).
% 4.33/1.20 thf(zip_derived_cl8, plain, ( (neq @ s1 @ s0)),
% 4.33/1.20 inference('cnf', [status(esa)], [neq4])).
% 4.33/1.20 thf(zip_derived_cl1979, plain,
% 4.33/1.20 (![X0 : $i, X1 : $i]:
% 4.33/1.20 (~ (neq @ X0 @ s0)
% 4.33/1.20 | ~ (neq @ X0 @ X1)
% 4.33/1.20 | ~ (neq @ s1 @ X1)
% 4.33/1.20 | (p @ X0 @ s1 @ X1 @ s2 @ s2))),
% 4.33/1.20 inference('demod', [status(thm)], [zip_derived_cl1976, zip_derived_cl8])).
% 4.33/1.20 thf(zip_derived_cl2437, plain,
% 4.33/1.20 (![X0 : $i]:
% 4.33/1.20 (~ (neq @ s1 @ X0) | ~ (neq @ s1 @ X0) | (p @ s1 @ s1 @ X0 @ s2 @ s2))),
% 4.33/1.20 inference('s_sup-', [status(thm)], [zip_derived_cl8, zip_derived_cl1979])).
% 4.33/1.20 thf(zip_derived_cl2439, plain,
% 4.33/1.20 (![X0 : $i]: ( (p @ s1 @ s1 @ X0 @ s2 @ s2) | ~ (neq @ s1 @ X0))),
% 4.33/1.20 inference('simplify', [status(thm)], [zip_derived_cl2437])).
% 4.33/1.20 thf(zip_derived_cl2441, plain, ( (p @ s1 @ s1 @ s2 @ s2 @ s2)),
% 4.33/1.20 inference('s_sup-', [status(thm)], [zip_derived_cl10, zip_derived_cl2439])).
% 4.33/1.20 thf(zip_derived_cl0, plain,
% 4.33/1.20 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i]:
% 4.33/1.20 (~ (p @ X0 @ X1 @ X2 @ X3 @ X4) | (p @ X5 @ X1 @ X2 @ X3 @ X4))),
% 4.33/1.20 inference('cnf', [status(esa)], [rule1])).
% 4.33/1.20 thf(zip_derived_cl2442, plain, (![X0 : $i]: (p @ X0 @ s1 @ s2 @ s2 @ s2)),
% 4.33/1.20 inference('s_sup-', [status(thm)], [zip_derived_cl2441, zip_derived_cl0])).
% 4.33/1.20 thf(zip_derived_cl1, plain,
% 4.33/1.20 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i]:
% 4.33/1.20 (~ (p @ X0 @ X1 @ X2 @ X3 @ X4)
% 4.33/1.20 | ~ (neq @ X0 @ X1)
% 4.33/1.20 | ~ (neq @ X0 @ X5)
% 4.33/1.20 | (p @ X0 @ X5 @ X2 @ X3 @ X4))),
% 4.33/1.20 inference('cnf', [status(esa)], [rule2])).
% 4.33/1.20 thf(zip_derived_cl2455, plain,
% 4.33/1.20 (![X0 : $i, X1 : $i]:
% 4.33/1.20 (~ (neq @ X0 @ s1) | ~ (neq @ X0 @ X1) | (p @ X0 @ X1 @ s2 @ s2 @ s2))),
% 4.33/1.20 inference('s_sup-', [status(thm)], [zip_derived_cl2442, zip_derived_cl1])).
% 4.33/1.20 thf(zip_derived_cl2463, plain,
% 4.33/1.20 (![X0 : $i]: (~ (neq @ s0 @ X0) | (p @ s0 @ X0 @ s2 @ s2 @ s2))),
% 4.33/1.20 inference('s_sup-', [status(thm)], [zip_derived_cl6, zip_derived_cl2455])).
% 4.33/1.20 thf(zip_derived_cl2492, plain, ( (p @ s0 @ s2 @ s2 @ s2 @ s2)),
% 4.33/1.20 inference('s_sup-', [status(thm)], [zip_derived_cl7, zip_derived_cl2463])).
% 4.33/1.20 thf(zip_derived_cl0, plain,
% 4.33/1.20 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i]:
% 4.33/1.20 (~ (p @ X0 @ X1 @ X2 @ X3 @ X4) | (p @ X5 @ X1 @ X2 @ X3 @ X4))),
% 4.33/1.20 inference('cnf', [status(esa)], [rule1])).
% 4.33/1.20 thf(zip_derived_cl2493, plain, (![X0 : $i]: (p @ X0 @ s2 @ s2 @ s2 @ s2)),
% 4.33/1.20 inference('s_sup-', [status(thm)], [zip_derived_cl2492, zip_derived_cl0])).
% 4.33/1.20 thf(zip_derived_cl2504, plain, ($false),
% 4.33/1.20 inference('demod', [status(thm)], [zip_derived_cl15, zip_derived_cl2493])).
% 4.33/1.20
% 4.33/1.20 % SZS output end Refutation
% 4.33/1.20
% 4.33/1.20
% 4.33/1.20 % Terminating...
% 4.34/1.26 % Runner terminated.
% 4.34/1.27 % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------