TSTP Solution File: SYN036-4 by Zipperpin---2.1.9999
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- Process Solution
%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : SYN036-4 : TPTP v8.1.2. Released v1.0.0.
% Transfm : NO INFORMATION
% Format : NO INFORMATION
% Command : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.hDEcwwOTre true
% Computer : n010.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Fri Sep 1 04:01:12 EDT 2023
% Result : Unsatisfiable 1.36s 0.78s
% Output : Refutation 1.36s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : SYN036-4 : TPTP v8.1.2. Released v1.0.0.
% 0.13/0.13 % Command : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.hDEcwwOTre true
% 0.14/0.34 % Computer : n010.cluster.edu
% 0.14/0.34 % Model : x86_64 x86_64
% 0.14/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.34 % Memory : 8042.1875MB
% 0.14/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.34 % CPULimit : 300
% 0.14/0.34 % WCLimit : 300
% 0.14/0.34 % DateTime : Sat Aug 26 19:55:35 EDT 2023
% 0.14/0.35 % CPUTime :
% 0.14/0.35 % Running portfolio for 300 s
% 0.14/0.35 % File : /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.14/0.35 % Number of cores: 8
% 0.14/0.35 % Python version: Python 3.6.8
% 0.14/0.35 % Running in FO mode
% 0.22/0.66 % Total configuration time : 435
% 0.22/0.66 % Estimated wc time : 1092
% 0.22/0.66 % Estimated cpu time (7 cpus) : 156.0
% 1.05/0.73 % /export/starexec/sandbox2/solver/bin/fo/fo6_bce.sh running for 75s
% 1.05/0.74 % /export/starexec/sandbox2/solver/bin/fo/fo3_bce.sh running for 75s
% 1.05/0.76 % /export/starexec/sandbox2/solver/bin/fo/fo1_av.sh running for 75s
% 1.05/0.76 % /export/starexec/sandbox2/solver/bin/fo/fo7.sh running for 63s
% 1.05/0.76 % /export/starexec/sandbox2/solver/bin/fo/fo13.sh running for 50s
% 1.36/0.76 % /export/starexec/sandbox2/solver/bin/fo/fo5.sh running for 50s
% 1.36/0.76 % /export/starexec/sandbox2/solver/bin/fo/fo4.sh running for 50s
% 1.36/0.78 % Solved by fo/fo6_bce.sh.
% 1.36/0.78 % BCE start: 32
% 1.36/0.78 % BCE eliminated: 0
% 1.36/0.78 % PE start: 32
% 1.36/0.78 logic: neq
% 1.36/0.78 % PE eliminated: 0
% 1.36/0.78 % done 47 iterations in 0.031s
% 1.36/0.78 % SZS status Theorem for '/export/starexec/sandbox2/benchmark/theBenchmark.p'
% 1.36/0.78 % SZS output start Refutation
% 1.36/0.78 thf(cx_type, type, cx: $i).
% 1.36/0.78 thf(fz5_type, type, fz5: $i > $i).
% 1.36/0.78 thf(p_type, type, p: $i > $o).
% 1.36/0.78 thf(cw_type, type, cw: $i).
% 1.36/0.78 thf(q_type, type, q: $i > $o).
% 1.36/0.78 thf(fy5_type, type, fy5: $i > $i).
% 1.36/0.78 thf(fy_type, type, fy: $i > $i).
% 1.36/0.78 thf(fz_type, type, fz: $i > $i).
% 1.36/0.78 thf(clause_32, conjecture,
% 1.36/0.78 (~( ( q @ ( fz5 @ W9 ) ) | ( q @ W9 ) | ( q @ cw ) |
% 1.36/0.78 ( p @ ( fy5 @ X7 ) ) | ( p @ X7 ) | ( p @ cx ) ))).
% 1.36/0.78 thf(zf_stmt_0, negated_conjecture,
% 1.36/0.78 (( q @ ( fz5 @ W9 ) ) | ( q @ W9 ) | ( q @ cw ) | ( p @ ( fy5 @ X7 ) ) |
% 1.36/0.78 ( p @ X7 ) | ( p @ cx )),
% 1.36/0.78 inference('cnf.neg', [status(esa)], [clause_32])).
% 1.36/0.78 thf(zip_derived_cl31, plain,
% 1.36/0.78 (![X0 : $i, X1 : $i]:
% 1.36/0.78 ( (q @ (fz5 @ X0))
% 1.36/0.78 | (q @ X0)
% 1.36/0.78 | (q @ cw)
% 1.36/0.78 | (p @ (fy5 @ X1))
% 1.36/0.78 | (p @ X1)
% 1.36/0.78 | (p @ cx))),
% 1.36/0.78 inference('cnf', [status(esa)], [zf_stmt_0])).
% 1.36/0.78 thf(clause_15, conjecture,
% 1.36/0.78 (~( ( q @ ( fz @ W3 ) ) | ( q @ W3 ) | ( q @ cw ) | ( p @ cx ) |
% 1.36/0.78 ( ~( p @ Y2 ) ) ))).
% 1.36/0.78 thf(zf_stmt_1, negated_conjecture,
% 1.36/0.78 (( q @ ( fz @ W3 ) ) | ( q @ W3 ) | ( q @ cw ) | ( p @ cx ) |
% 1.36/0.78 ( ~( p @ Y2 ) )),
% 1.36/0.78 inference('cnf.neg', [status(esa)], [clause_15])).
% 1.36/0.78 thf(zip_derived_cl14, plain,
% 1.36/0.78 (![X0 : $i, X1 : $i]:
% 1.36/0.78 ( (q @ (fz @ X0)) | (q @ X0) | (q @ cw) | (p @ cx) | ~ (p @ X1))),
% 1.36/0.78 inference('cnf', [status(esa)], [zf_stmt_1])).
% 1.36/0.78 thf(clause_4, conjecture,
% 1.36/0.78 (~( ( q @ cw ) | ( p @ cx ) | ( ~( q @ Z4 ) ) | ( ~( p @ Y4 ) ) ))).
% 1.36/0.78 thf(zf_stmt_2, negated_conjecture,
% 1.36/0.78 (( q @ cw ) | ( p @ cx ) | ( ~( q @ Z4 ) ) | ( ~( p @ Y4 ) )),
% 1.36/0.78 inference('cnf.neg', [status(esa)], [clause_4])).
% 1.36/0.78 thf(zip_derived_cl3, plain,
% 1.36/0.78 (![X0 : $i, X1 : $i]: ( (q @ cw) | (p @ cx) | ~ (q @ X0) | ~ (p @ X1))),
% 1.36/0.78 inference('cnf', [status(esa)], [zf_stmt_2])).
% 1.36/0.78 thf(clause_16, conjecture,
% 1.36/0.78 (~( ( p @ cx ) | ( ~( q @ ( fz5 @ W9 ) ) ) | ( ~( q @ W9 ) ) |
% 1.36/0.78 ( ~( q @ cw ) ) | ( ~( p @ Y4 ) ) ))).
% 1.36/0.78 thf(zf_stmt_3, negated_conjecture,
% 1.36/0.78 (( p @ cx ) | ( ~( q @ ( fz5 @ W9 ) ) ) | ( ~( q @ W9 ) ) |
% 1.36/0.78 ( ~( q @ cw ) ) | ( ~( p @ Y4 ) )),
% 1.36/0.78 inference('cnf.neg', [status(esa)], [clause_16])).
% 1.36/0.78 thf(zip_derived_cl15, plain,
% 1.36/0.78 (![X0 : $i, X1 : $i]:
% 1.36/0.78 ( (p @ cx) | ~ (q @ (fz5 @ X0)) | ~ (q @ X0) | ~ (q @ cw) | ~ (p @ X1))),
% 1.36/0.78 inference('cnf', [status(esa)], [zf_stmt_3])).
% 1.36/0.78 thf(clause_3, conjecture,
% 1.36/0.78 (~( ( q @ Z3 ) | ( p @ cx ) | ( ~( q @ cw ) ) | ( ~( p @ Y4 ) ) ))).
% 1.36/0.78 thf(zf_stmt_4, negated_conjecture,
% 1.36/0.78 (( q @ Z3 ) | ( p @ cx ) | ( ~( q @ cw ) ) | ( ~( p @ Y4 ) )),
% 1.36/0.78 inference('cnf.neg', [status(esa)], [clause_3])).
% 1.36/0.78 thf(zip_derived_cl2, plain,
% 1.36/0.78 (![X0 : $i, X1 : $i]: ( (q @ X0) | (p @ cx) | ~ (q @ cw) | ~ (p @ X1))),
% 1.36/0.78 inference('cnf', [status(esa)], [zf_stmt_4])).
% 1.36/0.78 thf(zip_derived_cl37, plain,
% 1.36/0.78 (![X0 : $i, X1 : $i]: (~ (p @ X1) | ~ (q @ cw) | ~ (q @ X0) | (p @ cx))),
% 1.36/0.78 inference('clc', [status(thm)], [zip_derived_cl15, zip_derived_cl2])).
% 1.36/0.78 thf(zip_derived_cl2, plain,
% 1.36/0.78 (![X0 : $i, X1 : $i]: ( (q @ X0) | (p @ cx) | ~ (q @ cw) | ~ (p @ X1))),
% 1.36/0.78 inference('cnf', [status(esa)], [zf_stmt_4])).
% 1.36/0.78 thf(zip_derived_cl38, plain,
% 1.36/0.78 (![X1 : $i]: ( (p @ cx) | ~ (q @ cw) | ~ (p @ X1))),
% 1.36/0.78 inference('clc', [status(thm)], [zip_derived_cl37, zip_derived_cl2])).
% 1.36/0.78 thf(zip_derived_cl41, plain,
% 1.36/0.78 (![X0 : $i, X1 : $i]: (~ (p @ X1) | ~ (q @ X0) | (p @ cx))),
% 1.36/0.78 inference('clc', [status(thm)], [zip_derived_cl3, zip_derived_cl38])).
% 1.36/0.78 thf(zip_derived_cl94, plain,
% 1.36/0.78 (![X0 : $i, X1 : $i]: (~ (p @ X1) | (p @ cx) | (q @ cw) | (q @ X0))),
% 1.36/0.78 inference('clc', [status(thm)], [zip_derived_cl14, zip_derived_cl41])).
% 1.36/0.78 thf(clause_30, conjecture,
% 1.36/0.78 (~( ( p @ ( fy @ X1 ) ) | ( p @ X1 ) | ( p @ cx ) |
% 1.36/0.78 ( ~( q @ ( fz @ W3 ) ) ) | ( ~( q @ W3 ) ) | ( ~( q @ cw ) ) ))).
% 1.36/0.78 thf(zf_stmt_5, negated_conjecture,
% 1.36/0.78 (( p @ ( fy @ X1 ) ) | ( p @ X1 ) | ( p @ cx ) |
% 1.36/0.78 ( ~( q @ ( fz @ W3 ) ) ) | ( ~( q @ W3 ) ) | ( ~( q @ cw ) )),
% 1.36/0.78 inference('cnf.neg', [status(esa)], [clause_30])).
% 1.36/0.78 thf(zip_derived_cl29, plain,
% 1.36/0.78 (![X0 : $i, X1 : $i]:
% 1.36/0.78 ( (p @ (fy @ X0))
% 1.36/0.78 | (p @ X0)
% 1.36/0.78 | (p @ cx)
% 1.36/0.78 | ~ (q @ (fz @ X1))
% 1.36/0.78 | ~ (q @ X1)
% 1.36/0.78 | ~ (q @ cw))),
% 1.36/0.78 inference('cnf', [status(esa)], [zf_stmt_5])).
% 1.36/0.78 thf(zip_derived_cl41, plain,
% 1.36/0.78 (![X0 : $i, X1 : $i]: (~ (p @ X1) | ~ (q @ X0) | (p @ cx))),
% 1.36/0.78 inference('clc', [status(thm)], [zip_derived_cl3, zip_derived_cl38])).
% 1.36/0.78 thf(zip_derived_cl88, plain,
% 1.36/0.78 (![X0 : $i, X1 : $i]:
% 1.36/0.78 (~ (q @ cw) | ~ (q @ X1) | ~ (q @ (fz @ X1)) | (p @ cx) | (p @ X0))),
% 1.36/0.78 inference('clc', [status(thm)], [zip_derived_cl29, zip_derived_cl41])).
% 1.36/0.78 thf(clause_19, conjecture,
% 1.36/0.78 (~( ( q @ Z1 ) | ( p @ ( fy @ X1 ) ) | ( p @ X1 ) | ( p @ cx ) |
% 1.36/0.78 ( ~( q @ cw ) ) ))).
% 1.36/0.78 thf(zf_stmt_6, negated_conjecture,
% 1.36/0.78 (( q @ Z1 ) | ( p @ ( fy @ X1 ) ) | ( p @ X1 ) | ( p @ cx ) |
% 1.36/0.78 ( ~( q @ cw ) )),
% 1.36/0.78 inference('cnf.neg', [status(esa)], [clause_19])).
% 1.36/0.78 thf(zip_derived_cl18, plain,
% 1.36/0.78 (![X0 : $i, X1 : $i]:
% 1.36/0.78 ( (q @ X0) | (p @ (fy @ X1)) | (p @ X1) | (p @ cx) | ~ (q @ cw))),
% 1.36/0.78 inference('cnf', [status(esa)], [zf_stmt_6])).
% 1.36/0.78 thf(zip_derived_cl41, plain,
% 1.36/0.78 (![X0 : $i, X1 : $i]: (~ (p @ X1) | ~ (q @ X0) | (p @ cx))),
% 1.36/0.78 inference('clc', [status(thm)], [zip_derived_cl3, zip_derived_cl38])).
% 1.36/0.78 thf(zip_derived_cl63, plain,
% 1.36/0.78 (![X0 : $i, X1 : $i]: (~ (q @ cw) | (p @ cx) | (p @ X1) | (q @ X0))),
% 1.36/0.78 inference('clc', [status(thm)], [zip_derived_cl18, zip_derived_cl41])).
% 1.36/0.78 thf(clause_10, conjecture,
% 1.36/0.78 (~( ( q @ ( fz @ W3 ) ) | ( q @ W3 ) | ( q @ cw ) | ( p @ Y1 ) |
% 1.36/0.78 ( ~( p @ cx ) ) ))).
% 1.36/0.78 thf(zf_stmt_7, negated_conjecture,
% 1.36/0.78 (( q @ ( fz @ W3 ) ) | ( q @ W3 ) | ( q @ cw ) | ( p @ Y1 ) |
% 1.36/0.78 ( ~( p @ cx ) )),
% 1.36/0.78 inference('cnf.neg', [status(esa)], [clause_10])).
% 1.36/0.78 thf(zip_derived_cl9, plain,
% 1.36/0.78 (![X0 : $i, X1 : $i]:
% 1.36/0.78 ( (q @ (fz @ X0)) | (q @ X0) | (q @ cw) | (p @ X1) | ~ (p @ cx))),
% 1.36/0.78 inference('cnf', [status(esa)], [zf_stmt_7])).
% 1.36/0.78 thf(clause_7, conjecture,
% 1.36/0.78 (~( ( p @ Y3 ) | ( ~( q @ ( fz5 @ W9 ) ) ) | ( ~( q @ W9 ) ) |
% 1.36/0.78 ( ~( q @ cw ) ) | ( ~( p @ cx ) ) ))).
% 1.36/0.79 thf(zf_stmt_8, negated_conjecture,
% 1.36/0.79 (( p @ Y3 ) | ( ~( q @ ( fz5 @ W9 ) ) ) | ( ~( q @ W9 ) ) |
% 1.36/0.79 ( ~( q @ cw ) ) | ( ~( p @ cx ) )),
% 1.36/0.79 inference('cnf.neg', [status(esa)], [clause_7])).
% 1.36/0.79 thf(zip_derived_cl6, plain,
% 1.36/0.79 (![X0 : $i, X1 : $i]:
% 1.36/0.79 ( (p @ X0) | ~ (q @ (fz5 @ X1)) | ~ (q @ X1) | ~ (q @ cw) | ~ (p @ cx))),
% 1.36/0.79 inference('cnf', [status(esa)], [zf_stmt_8])).
% 1.36/0.79 thf(clause_1, conjecture,
% 1.36/0.79 (~( ( q @ Z3 ) | ( p @ Y3 ) | ( ~( q @ cw ) ) | ( ~( p @ cx ) ) ))).
% 1.36/0.79 thf(zf_stmt_9, negated_conjecture,
% 1.36/0.79 (( q @ Z3 ) | ( p @ Y3 ) | ( ~( q @ cw ) ) | ( ~( p @ cx ) )),
% 1.36/0.79 inference('cnf.neg', [status(esa)], [clause_1])).
% 1.36/0.79 thf(zip_derived_cl0, plain,
% 1.36/0.79 (![X0 : $i, X1 : $i]: ( (q @ X0) | (p @ X1) | ~ (q @ cw) | ~ (p @ cx))),
% 1.36/0.79 inference('cnf', [status(esa)], [zf_stmt_9])).
% 1.36/0.79 thf(zip_derived_cl39, plain,
% 1.36/0.79 (![X0 : $i, X1 : $i]: (~ (p @ cx) | ~ (q @ cw) | ~ (q @ X1) | (p @ X0))),
% 1.36/0.79 inference('clc', [status(thm)], [zip_derived_cl6, zip_derived_cl0])).
% 1.36/0.79 thf(clause_2, conjecture,
% 1.36/0.79 (~( ( q @ cw ) | ( p @ Y3 ) | ( ~( q @ Z4 ) ) | ( ~( p @ cx ) ) ))).
% 1.36/0.79 thf(zf_stmt_10, negated_conjecture,
% 1.36/0.79 (( q @ cw ) | ( p @ Y3 ) | ( ~( q @ Z4 ) ) | ( ~( p @ cx ) )),
% 1.36/0.79 inference('cnf.neg', [status(esa)], [clause_2])).
% 1.36/0.79 thf(zip_derived_cl1, plain,
% 1.36/0.79 (![X0 : $i, X1 : $i]: ( (q @ cw) | (p @ X0) | ~ (q @ X1) | ~ (p @ cx))),
% 1.36/0.79 inference('cnf', [status(esa)], [zf_stmt_10])).
% 1.36/0.79 thf(zip_derived_cl40, plain,
% 1.36/0.79 (![X0 : $i, X1 : $i]: ( (p @ X0) | ~ (q @ X1) | ~ (p @ cx))),
% 1.36/0.79 inference('clc', [status(thm)], [zip_derived_cl39, zip_derived_cl1])).
% 1.36/0.79 thf(zip_derived_cl45, plain,
% 1.36/0.79 (![X0 : $i, X1 : $i]: (~ (p @ cx) | (p @ X1) | (q @ cw) | (q @ X0))),
% 1.36/0.79 inference('clc', [status(thm)], [zip_derived_cl9, zip_derived_cl40])).
% 1.36/0.79 thf(zip_derived_cl40, plain,
% 1.36/0.79 (![X0 : $i, X1 : $i]: ( (p @ X0) | ~ (q @ X1) | ~ (p @ cx))),
% 1.36/0.79 inference('clc', [status(thm)], [zip_derived_cl39, zip_derived_cl1])).
% 1.36/0.79 thf(zip_derived_cl46, plain,
% 1.36/0.79 (![X0 : $i, X1 : $i]: ( (q @ X0) | (p @ X1) | ~ (p @ cx))),
% 1.36/0.79 inference('clc', [status(thm)], [zip_derived_cl45, zip_derived_cl40])).
% 1.36/0.79 thf(zip_derived_cl40, plain,
% 1.36/0.79 (![X0 : $i, X1 : $i]: ( (p @ X0) | ~ (q @ X1) | ~ (p @ cx))),
% 1.36/0.79 inference('clc', [status(thm)], [zip_derived_cl39, zip_derived_cl1])).
% 1.36/0.79 thf(zip_derived_cl47, plain, (![X1 : $i]: (~ (p @ cx) | (p @ X1))),
% 1.36/0.79 inference('clc', [status(thm)], [zip_derived_cl46, zip_derived_cl40])).
% 1.36/0.79 thf(zip_derived_cl64, plain,
% 1.36/0.79 (![X0 : $i, X1 : $i]: ( (q @ X0) | (p @ X1) | ~ (q @ cw))),
% 1.36/0.79 inference('clc', [status(thm)], [zip_derived_cl63, zip_derived_cl47])).
% 1.36/0.79 thf(zip_derived_cl89, plain,
% 1.36/0.79 (![X0 : $i, X1 : $i]:
% 1.36/0.79 ( (p @ X0) | (p @ cx) | ~ (q @ (fz @ X1)) | ~ (q @ cw))),
% 1.36/0.79 inference('clc', [status(thm)], [zip_derived_cl88, zip_derived_cl64])).
% 1.36/0.79 thf(zip_derived_cl41, plain,
% 1.36/0.79 (![X0 : $i, X1 : $i]: (~ (p @ X1) | ~ (q @ X0) | (p @ cx))),
% 1.36/0.79 inference('clc', [status(thm)], [zip_derived_cl3, zip_derived_cl38])).
% 1.36/0.79 thf(zip_derived_cl90, plain,
% 1.36/0.79 (![X1 : $i]: (~ (q @ cw) | ~ (q @ (fz @ X1)) | (p @ cx))),
% 1.36/0.79 inference('clc', [status(thm)], [zip_derived_cl89, zip_derived_cl41])).
% 1.36/0.79 thf(zip_derived_cl64, plain,
% 1.36/0.79 (![X0 : $i, X1 : $i]: ( (q @ X0) | (p @ X1) | ~ (q @ cw))),
% 1.36/0.79 inference('clc', [status(thm)], [zip_derived_cl63, zip_derived_cl47])).
% 1.36/0.79 thf(zip_derived_cl91, plain, (( (p @ cx) | ~ (q @ cw))),
% 1.36/0.79 inference('clc', [status(thm)], [zip_derived_cl90, zip_derived_cl64])).
% 1.36/0.79 thf(zip_derived_cl95, plain,
% 1.36/0.79 (![X0 : $i, X1 : $i]: ( (q @ X0) | (p @ cx) | ~ (p @ X1))),
% 1.36/0.79 inference('clc', [status(thm)], [zip_derived_cl94, zip_derived_cl91])).
% 1.36/0.79 thf(zip_derived_cl41, plain,
% 1.36/0.79 (![X0 : $i, X1 : $i]: (~ (p @ X1) | ~ (q @ X0) | (p @ cx))),
% 1.36/0.79 inference('clc', [status(thm)], [zip_derived_cl3, zip_derived_cl38])).
% 1.36/0.79 thf(zip_derived_cl96, plain, (![X1 : $i]: (~ (p @ X1) | (p @ cx))),
% 1.36/0.79 inference('clc', [status(thm)], [zip_derived_cl95, zip_derived_cl41])).
% 1.36/0.79 thf(zip_derived_cl47, plain, (![X1 : $i]: (~ (p @ cx) | (p @ X1))),
% 1.36/0.79 inference('clc', [status(thm)], [zip_derived_cl46, zip_derived_cl40])).
% 1.36/0.79 thf(zip_derived_cl101, plain,
% 1.36/0.79 (![X0 : $i, X1 : $i]: (~ (p @ X0) | (p @ X1))),
% 1.36/0.79 inference('s_sup-', [status(thm)], [zip_derived_cl96, zip_derived_cl47])).
% 1.36/0.79 thf(zip_derived_cl96, plain, (![X1 : $i]: (~ (p @ X1) | (p @ cx))),
% 1.36/0.79 inference('clc', [status(thm)], [zip_derived_cl95, zip_derived_cl41])).
% 1.36/0.79 thf(clause_6, conjecture,
% 1.36/0.79 (~( ( q @ cw ) | ( ~( q @ Z4 ) ) | ( ~( p @ ( fy5 @ X7 ) ) ) |
% 1.36/0.79 ( ~( p @ X7 ) ) | ( ~( p @ cx ) ) ))).
% 1.36/0.79 thf(zf_stmt_11, negated_conjecture,
% 1.36/0.79 (( q @ cw ) | ( ~( q @ Z4 ) ) | ( ~( p @ ( fy5 @ X7 ) ) ) |
% 1.36/0.79 ( ~( p @ X7 ) ) | ( ~( p @ cx ) )),
% 1.36/0.79 inference('cnf.neg', [status(esa)], [clause_6])).
% 1.36/0.79 thf(zip_derived_cl5, plain,
% 1.36/0.79 (![X0 : $i, X1 : $i]:
% 1.36/0.79 ( (q @ cw) | ~ (q @ X0) | ~ (p @ (fy5 @ X1)) | ~ (p @ X1) | ~ (p @ cx))),
% 1.36/0.79 inference('cnf', [status(esa)], [zf_stmt_11])).
% 1.36/0.79 thf(clause_23, conjecture,
% 1.36/0.79 (~( ( ~( q @ ( fz5 @ W9 ) ) ) | ( ~( q @ W9 ) ) | ( ~( q @ cw ) ) |
% 1.36/0.79 ( ~( p @ ( fy5 @ X7 ) ) ) | ( ~( p @ X7 ) ) | ( ~( p @ cx ) ) ))).
% 1.36/0.79 thf(zf_stmt_12, negated_conjecture,
% 1.36/0.79 (( ~( q @ ( fz5 @ W9 ) ) ) | ( ~( q @ W9 ) ) | ( ~( q @ cw ) ) |
% 1.36/0.79 ( ~( p @ ( fy5 @ X7 ) ) ) | ( ~( p @ X7 ) ) | ( ~( p @ cx ) )),
% 1.36/0.79 inference('cnf.neg', [status(esa)], [clause_23])).
% 1.36/0.79 thf(zip_derived_cl22, plain,
% 1.36/0.79 (![X0 : $i, X1 : $i]:
% 1.36/0.79 (~ (q @ (fz5 @ X0))
% 1.36/0.79 | ~ (q @ X0)
% 1.36/0.79 | ~ (q @ cw)
% 1.36/0.79 | ~ (p @ (fy5 @ X1))
% 1.36/0.79 | ~ (p @ X1)
% 1.36/0.79 | ~ (p @ cx))),
% 1.36/0.79 inference('cnf', [status(esa)], [zf_stmt_12])).
% 1.36/0.79 thf(clause_5, conjecture,
% 1.36/0.79 (~( ( q @ Z3 ) | ( ~( q @ cw ) ) | ( ~( p @ ( fy5 @ X7 ) ) ) |
% 1.36/0.79 ( ~( p @ X7 ) ) | ( ~( p @ cx ) ) ))).
% 1.36/0.79 thf(zf_stmt_13, negated_conjecture,
% 1.36/0.79 (( q @ Z3 ) | ( ~( q @ cw ) ) | ( ~( p @ ( fy5 @ X7 ) ) ) |
% 1.36/0.79 ( ~( p @ X7 ) ) | ( ~( p @ cx ) )),
% 1.36/0.79 inference('cnf.neg', [status(esa)], [clause_5])).
% 1.36/0.79 thf(zip_derived_cl4, plain,
% 1.36/0.79 (![X0 : $i, X1 : $i]:
% 1.36/0.79 ( (q @ X0) | ~ (q @ cw) | ~ (p @ (fy5 @ X1)) | ~ (p @ X1) | ~ (p @ cx))),
% 1.36/0.79 inference('cnf', [status(esa)], [zf_stmt_13])).
% 1.36/0.79 thf(zip_derived_cl32, plain,
% 1.36/0.79 (![X0 : $i, X1 : $i]:
% 1.36/0.79 (~ (p @ cx)
% 1.36/0.79 | ~ (p @ X1)
% 1.36/0.79 | ~ (p @ (fy5 @ X1))
% 1.36/0.79 | ~ (q @ cw)
% 1.36/0.79 | ~ (q @ X0))),
% 1.36/0.79 inference('clc', [status(thm)], [zip_derived_cl22, zip_derived_cl4])).
% 1.36/0.79 thf(zip_derived_cl4, plain,
% 1.36/0.79 (![X0 : $i, X1 : $i]:
% 1.36/0.79 ( (q @ X0) | ~ (q @ cw) | ~ (p @ (fy5 @ X1)) | ~ (p @ X1) | ~ (p @ cx))),
% 1.36/0.79 inference('cnf', [status(esa)], [zf_stmt_13])).
% 1.36/0.79 thf(zip_derived_cl33, plain,
% 1.36/0.79 (![X1 : $i]: (~ (q @ cw) | ~ (p @ (fy5 @ X1)) | ~ (p @ X1) | ~ (p @ cx))),
% 1.36/0.79 inference('clc', [status(thm)], [zip_derived_cl32, zip_derived_cl4])).
% 1.36/0.79 thf(zip_derived_cl36, plain,
% 1.36/0.79 (![X0 : $i, X1 : $i]:
% 1.36/0.79 (~ (p @ cx) | ~ (p @ X1) | ~ (p @ (fy5 @ X1)) | ~ (q @ X0))),
% 1.36/0.79 inference('clc', [status(thm)], [zip_derived_cl5, zip_derived_cl33])).
% 1.36/0.79 thf(zip_derived_cl100, plain,
% 1.36/0.79 (![X0 : $i, X1 : $i, X2 : $i]:
% 1.36/0.79 (~ (p @ X0) | ~ (p @ X1) | ~ (p @ (fy5 @ X1)) | ~ (q @ X2))),
% 1.36/0.79 inference('s_sup-', [status(thm)], [zip_derived_cl96, zip_derived_cl36])).
% 1.36/0.79 thf(zip_derived_cl107, plain,
% 1.36/0.79 (![X0 : $i, X1 : $i]: (~ (q @ X0) | ~ (p @ X1) | ~ (p @ (fy5 @ X1)))),
% 1.36/0.79 inference('condensation', [status(thm)], [zip_derived_cl100])).
% 1.36/0.79 thf(zip_derived_cl115, plain,
% 1.36/0.79 (![X0 : $i, X1 : $i, X2 : $i]: (~ (p @ X1) | ~ (q @ X2) | ~ (p @ X0))),
% 1.36/0.79 inference('s_sup-', [status(thm)], [zip_derived_cl101, zip_derived_cl107])).
% 1.36/0.79 thf(zip_derived_cl124, plain,
% 1.36/0.79 (![X0 : $i, X1 : $i]: (~ (p @ X0) | ~ (q @ X1))),
% 1.36/0.79 inference('condensation', [status(thm)], [zip_derived_cl115])).
% 1.36/0.79 thf(clause_20, conjecture,
% 1.36/0.79 (~( ( q @ cw ) | ( p @ ( fy @ X1 ) ) | ( p @ X1 ) | ( p @ cx ) |
% 1.36/0.79 ( ~( q @ Z2 ) ) ))).
% 1.36/0.79 thf(zf_stmt_14, negated_conjecture,
% 1.36/0.79 (( q @ cw ) | ( p @ ( fy @ X1 ) ) | ( p @ X1 ) | ( p @ cx ) |
% 1.36/0.79 ( ~( q @ Z2 ) )),
% 1.36/0.79 inference('cnf.neg', [status(esa)], [clause_20])).
% 1.36/0.79 thf(zip_derived_cl19, plain,
% 1.36/0.79 (![X0 : $i, X1 : $i]:
% 1.36/0.79 ( (q @ cw) | (p @ (fy @ X0)) | (p @ X0) | (p @ cx) | ~ (q @ X1))),
% 1.36/0.79 inference('cnf', [status(esa)], [zf_stmt_14])).
% 1.36/0.79 thf(zip_derived_cl91, plain, (( (p @ cx) | ~ (q @ cw))),
% 1.36/0.79 inference('clc', [status(thm)], [zip_derived_cl90, zip_derived_cl64])).
% 1.36/0.79 thf(zip_derived_cl119, plain,
% 1.36/0.79 (![X0 : $i, X1 : $i]:
% 1.36/0.79 (~ (q @ X1) | (p @ cx) | (p @ X0) | (p @ (fy @ X0)))),
% 1.36/0.79 inference('clc', [status(thm)], [zip_derived_cl19, zip_derived_cl91])).
% 1.36/0.79 thf(zip_derived_cl101, plain,
% 1.36/0.79 (![X0 : $i, X1 : $i]: (~ (p @ X0) | (p @ X1))),
% 1.36/0.79 inference('s_sup-', [status(thm)], [zip_derived_cl96, zip_derived_cl47])).
% 1.36/0.79 thf(zip_derived_cl120, plain,
% 1.36/0.79 (![X0 : $i, X1 : $i]: ( (p @ (fy @ X0)) | (p @ X0) | ~ (q @ X1))),
% 1.36/0.79 inference('clc', [status(thm)], [zip_derived_cl119, zip_derived_cl101])).
% 1.36/0.79 thf(zip_derived_cl101, plain,
% 1.36/0.79 (![X0 : $i, X1 : $i]: (~ (p @ X0) | (p @ X1))),
% 1.36/0.79 inference('s_sup-', [status(thm)], [zip_derived_cl96, zip_derived_cl47])).
% 1.36/0.79 thf(zip_derived_cl121, plain,
% 1.36/0.79 (![X0 : $i, X1 : $i]: (~ (q @ X1) | (p @ X0))),
% 1.36/0.79 inference('clc', [status(thm)], [zip_derived_cl120, zip_derived_cl101])).
% 1.36/0.79 thf(zip_derived_cl125, plain, (![X1 : $i]: ~ (q @ X1)),
% 1.36/0.79 inference('clc', [status(thm)], [zip_derived_cl124, zip_derived_cl121])).
% 1.36/0.79 thf(zip_derived_cl125, plain, (![X1 : $i]: ~ (q @ X1)),
% 1.36/0.79 inference('clc', [status(thm)], [zip_derived_cl124, zip_derived_cl121])).
% 1.36/0.79 thf(zip_derived_cl101, plain,
% 1.36/0.79 (![X0 : $i, X1 : $i]: (~ (p @ X0) | (p @ X1))),
% 1.36/0.79 inference('s_sup-', [status(thm)], [zip_derived_cl96, zip_derived_cl47])).
% 1.36/0.79 thf(clause_22, conjecture,
% 1.36/0.79 (~( ( q @ ( fz @ W3 ) ) | ( q @ W3 ) | ( q @ cw ) |
% 1.36/0.79 ( ~( p @ ( fy @ X1 ) ) ) | ( ~( p @ X1 ) ) | ( ~( p @ cx ) ) ))).
% 1.36/0.79 thf(zf_stmt_15, negated_conjecture,
% 1.36/0.79 (( q @ ( fz @ W3 ) ) | ( q @ W3 ) | ( q @ cw ) |
% 1.36/0.79 ( ~( p @ ( fy @ X1 ) ) ) | ( ~( p @ X1 ) ) | ( ~( p @ cx ) )),
% 1.36/0.79 inference('cnf.neg', [status(esa)], [clause_22])).
% 1.36/0.79 thf(zip_derived_cl21, plain,
% 1.36/0.79 (![X0 : $i, X1 : $i]:
% 1.36/0.79 ( (q @ (fz @ X0))
% 1.36/0.79 | (q @ X0)
% 1.36/0.79 | (q @ cw)
% 1.36/0.79 | ~ (p @ (fy @ X1))
% 1.36/0.79 | ~ (p @ X1)
% 1.36/0.79 | ~ (p @ cx))),
% 1.36/0.79 inference('cnf', [status(esa)], [zf_stmt_15])).
% 1.36/0.79 thf(zip_derived_cl47, plain, (![X1 : $i]: (~ (p @ cx) | (p @ X1))),
% 1.36/0.79 inference('clc', [status(thm)], [zip_derived_cl46, zip_derived_cl40])).
% 1.36/0.79 thf(zip_derived_cl86, plain,
% 1.36/0.79 (![X0 : $i, X1 : $i]:
% 1.36/0.79 (~ (p @ cx) | ~ (p @ X1) | (q @ cw) | (q @ X0) | (q @ (fz @ X0)))),
% 1.36/0.79 inference('clc', [status(thm)], [zip_derived_cl21, zip_derived_cl47])).
% 1.36/0.79 thf(zip_derived_cl47, plain, (![X1 : $i]: (~ (p @ cx) | (p @ X1))),
% 1.36/0.79 inference('clc', [status(thm)], [zip_derived_cl46, zip_derived_cl40])).
% 1.36/0.79 thf(zip_derived_cl87, plain,
% 1.36/0.79 (![X0 : $i]: ( (q @ (fz @ X0)) | (q @ X0) | (q @ cw) | ~ (p @ cx))),
% 1.36/0.79 inference('clc', [status(thm)], [zip_derived_cl86, zip_derived_cl47])).
% 1.36/0.79 thf(zip_derived_cl125, plain, (![X1 : $i]: ~ (q @ X1)),
% 1.36/0.79 inference('clc', [status(thm)], [zip_derived_cl124, zip_derived_cl121])).
% 1.36/0.79 thf(zip_derived_cl125, plain, (![X1 : $i]: ~ (q @ X1)),
% 1.36/0.79 inference('clc', [status(thm)], [zip_derived_cl124, zip_derived_cl121])).
% 1.36/0.79 thf(zip_derived_cl126, plain, (![X0 : $i]: ( (q @ (fz @ X0)) | ~ (p @ cx))),
% 1.36/0.79 inference('demod', [status(thm)],
% 1.36/0.79 [zip_derived_cl87, zip_derived_cl125, zip_derived_cl125])).
% 1.36/0.79 thf(zip_derived_cl125, plain, (![X1 : $i]: ~ (q @ X1)),
% 1.36/0.79 inference('clc', [status(thm)], [zip_derived_cl124, zip_derived_cl121])).
% 1.36/0.79 thf(zip_derived_cl127, plain, (~ (p @ cx)),
% 1.36/0.79 inference('clc', [status(thm)], [zip_derived_cl126, zip_derived_cl125])).
% 1.36/0.79 thf(zip_derived_cl128, plain, (![X0 : $i]: ~ (p @ X0)),
% 1.36/0.79 inference('s_sup-', [status(thm)], [zip_derived_cl101, zip_derived_cl127])).
% 1.36/0.79 thf(zip_derived_cl128, plain, (![X0 : $i]: ~ (p @ X0)),
% 1.36/0.79 inference('s_sup-', [status(thm)], [zip_derived_cl101, zip_derived_cl127])).
% 1.36/0.79 thf(zip_derived_cl160, plain,
% 1.36/0.79 (![X0 : $i, X1 : $i]: ( (q @ (fz5 @ X0)) | (p @ (fy5 @ X1)))),
% 1.36/0.79 inference('demod', [status(thm)],
% 1.36/0.79 [zip_derived_cl31, zip_derived_cl125, zip_derived_cl125,
% 1.36/0.79 zip_derived_cl128, zip_derived_cl128])).
% 1.36/0.79 thf(zip_derived_cl125, plain, (![X1 : $i]: ~ (q @ X1)),
% 1.36/0.79 inference('clc', [status(thm)], [zip_derived_cl124, zip_derived_cl121])).
% 1.36/0.79 thf(zip_derived_cl161, plain, (![X1 : $i]: (p @ (fy5 @ X1))),
% 1.36/0.79 inference('clc', [status(thm)], [zip_derived_cl160, zip_derived_cl125])).
% 1.36/0.79 thf(zip_derived_cl128, plain, (![X0 : $i]: ~ (p @ X0)),
% 1.36/0.79 inference('s_sup-', [status(thm)], [zip_derived_cl101, zip_derived_cl127])).
% 1.36/0.79 thf(zip_derived_cl162, plain, ($false),
% 1.36/0.79 inference('s_sup-', [status(thm)], [zip_derived_cl161, zip_derived_cl128])).
% 1.36/0.79
% 1.36/0.79 % SZS output end Refutation
% 1.36/0.79
% 1.36/0.79
% 1.36/0.79 % Terminating...
% 1.78/0.87 % Runner terminated.
% 1.78/0.89 % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------