TSTP Solution File: KRS010-1 by Zipperpin---2.1.9999
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- Process Solution
%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : KRS010-1 : TPTP v8.1.2. Released v2.0.0.
% Transfm : NO INFORMATION
% Format : NO INFORMATION
% Command : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.rrejYC4sXd true
% Computer : n014.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 05:56:10 EDT 2023
% Result : Unsatisfiable 1.37s 0.83s
% Output : Refutation 1.37s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : KRS010-1 : TPTP v8.1.2. Released v2.0.0.
% 0.00/0.13 % Command : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.rrejYC4sXd true
% 0.13/0.34 % Computer : n014.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 : Mon Aug 28 01:09:01 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
% 0.13/0.35 % Number of cores: 8
% 0.13/0.35 % Python version: Python 3.6.8
% 0.13/0.35 % Running in FO mode
% 0.20/0.62 % Total configuration time : 435
% 0.20/0.62 % Estimated wc time : 1092
% 0.20/0.62 % Estimated cpu time (7 cpus) : 156.0
% 0.20/0.70 % /export/starexec/sandbox2/solver/bin/fo/fo6_bce.sh running for 75s
% 0.20/0.72 % /export/starexec/sandbox2/solver/bin/fo/fo3_bce.sh running for 75s
% 0.20/0.72 % /export/starexec/sandbox2/solver/bin/fo/fo1_av.sh running for 75s
% 0.20/0.74 % /export/starexec/sandbox2/solver/bin/fo/fo7.sh running for 63s
% 0.20/0.75 % /export/starexec/sandbox2/solver/bin/fo/fo13.sh running for 50s
% 0.20/0.75 % /export/starexec/sandbox2/solver/bin/fo/fo5.sh running for 50s
% 0.20/0.75 % /export/starexec/sandbox2/solver/bin/fo/fo4.sh running for 50s
% 1.37/0.83 % Solved by fo/fo4.sh.
% 1.37/0.83 % done 128 iterations in 0.052s
% 1.37/0.83 % SZS status Theorem for '/export/starexec/sandbox2/benchmark/theBenchmark.p'
% 1.37/0.83 % SZS output start Refutation
% 1.37/0.83 thf(exist_type, type, exist: $i).
% 1.37/0.83 thf(u2r2_type, type, u2r2: $i > $i).
% 1.37/0.83 thf(d_type, type, d: $i > $o).
% 1.37/0.83 thf(a_type, type, a: $i > $o).
% 1.37/0.83 thf(e_type, type, e: $i > $o).
% 1.37/0.83 thf(f_type, type, f: $i > $o).
% 1.37/0.83 thf(r_type, type, r: $i > $i > $o).
% 1.37/0.83 thf(u2r3_type, type, u2r3: $i > $i).
% 1.37/0.83 thf(c_type, type, c: $i > $o).
% 1.37/0.83 thf(equalish_type, type, equalish: $i > $i > $o).
% 1.37/0.83 thf(u2r1_type, type, u2r1: $i > $i).
% 1.37/0.83 thf(r3least_type, type, r3least: $i > $o).
% 1.37/0.83 thf(clause_1, conjecture, (~( e @ exist ))).
% 1.37/0.83 thf(zf_stmt_0, negated_conjecture, (e @ exist),
% 1.37/0.83 inference('cnf.neg', [status(esa)], [clause_1])).
% 1.37/0.83 thf(zip_derived_cl0, plain, ( (e @ exist)),
% 1.37/0.83 inference('cnf', [status(esa)], [zf_stmt_0])).
% 1.37/0.83 thf(clause_22, axiom, (( r @ X1 @ ( u2r1 @ X1 ) ) | ( ~( r3least @ X1 ) ))).
% 1.37/0.83 thf(zip_derived_cl21, plain,
% 1.37/0.83 (![X0 : $i]: ( (r @ X0 @ (u2r1 @ X0)) | ~ (r3least @ X0))),
% 1.37/0.83 inference('cnf', [status(esa)], [clause_22])).
% 1.37/0.83 thf(clause_8, axiom, (( a @ X2 ) | ( ~( e @ X1 ) ) | ( ~( r @ X1 @ X2 ) ))).
% 1.37/0.83 thf(zip_derived_cl7, plain,
% 1.37/0.83 (![X0 : $i, X1 : $i]: ( (a @ X0) | ~ (e @ X1) | ~ (r @ X1 @ X0))),
% 1.37/0.83 inference('cnf', [status(esa)], [clause_8])).
% 1.37/0.83 thf(zip_derived_cl50, plain,
% 1.37/0.83 (![X0 : $i]: (~ (r3least @ X0) | ~ (e @ X0) | (a @ (u2r1 @ X0)))),
% 1.37/0.83 inference('sup-', [status(thm)], [zip_derived_cl21, zip_derived_cl7])).
% 1.37/0.83 thf(clause_7, axiom, (( r3least @ X1 ) | ( ~( e @ X1 ) ))).
% 1.37/0.83 thf(zip_derived_cl6, plain, (![X0 : $i]: ( (r3least @ X0) | ~ (e @ X0))),
% 1.37/0.83 inference('cnf', [status(esa)], [clause_7])).
% 1.37/0.83 thf(zip_derived_cl55, plain, (![X0 : $i]: ( (a @ (u2r1 @ X0)) | ~ (e @ X0))),
% 1.37/0.83 inference('clc', [status(thm)], [zip_derived_cl50, zip_derived_cl6])).
% 1.37/0.83 thf(clause_3, axiom, (( c @ X1 ) | ( d @ X1 ) | ( ~( a @ X1 ) ))).
% 1.37/0.83 thf(zip_derived_cl2, plain,
% 1.37/0.83 (![X0 : $i]: ( (c @ X0) | (d @ X0) | ~ (a @ X0))),
% 1.37/0.83 inference('cnf', [status(esa)], [clause_3])).
% 1.37/0.83 thf(zip_derived_cl56, plain,
% 1.37/0.83 (![X0 : $i]: (~ (e @ X0) | (d @ (u2r1 @ X0)) | (c @ (u2r1 @ X0)))),
% 1.37/0.83 inference('sup-', [status(thm)], [zip_derived_cl55, zip_derived_cl2])).
% 1.37/0.83 thf(zip_derived_cl61, plain,
% 1.37/0.83 (( (c @ (u2r1 @ exist)) | (d @ (u2r1 @ exist)))),
% 1.37/0.83 inference('sup-', [status(thm)], [zip_derived_cl0, zip_derived_cl56])).
% 1.37/0.83 thf(zip_derived_cl21, plain,
% 1.37/0.83 (![X0 : $i]: ( (r @ X0 @ (u2r1 @ X0)) | ~ (r3least @ X0))),
% 1.37/0.83 inference('cnf', [status(esa)], [clause_22])).
% 1.37/0.83 thf(zip_derived_cl0, plain, ( (e @ exist)),
% 1.37/0.83 inference('cnf', [status(esa)], [zf_stmt_0])).
% 1.37/0.83 thf(clause_23, axiom, (( r @ X1 @ ( u2r2 @ X1 ) ) | ( ~( r3least @ X1 ) ))).
% 1.37/0.83 thf(zip_derived_cl22, plain,
% 1.37/0.83 (![X0 : $i]: ( (r @ X0 @ (u2r2 @ X0)) | ~ (r3least @ X0))),
% 1.37/0.83 inference('cnf', [status(esa)], [clause_23])).
% 1.37/0.83 thf(zip_derived_cl7, plain,
% 1.37/0.83 (![X0 : $i, X1 : $i]: ( (a @ X0) | ~ (e @ X1) | ~ (r @ X1 @ X0))),
% 1.37/0.83 inference('cnf', [status(esa)], [clause_8])).
% 1.37/0.83 thf(zip_derived_cl52, plain,
% 1.37/0.83 (![X0 : $i]: (~ (r3least @ X0) | ~ (e @ X0) | (a @ (u2r2 @ X0)))),
% 1.37/0.83 inference('sup-', [status(thm)], [zip_derived_cl22, zip_derived_cl7])).
% 1.37/0.83 thf(zip_derived_cl6, plain, (![X0 : $i]: ( (r3least @ X0) | ~ (e @ X0))),
% 1.37/0.83 inference('cnf', [status(esa)], [clause_7])).
% 1.37/0.83 thf(zip_derived_cl57, plain, (![X0 : $i]: ( (a @ (u2r2 @ X0)) | ~ (e @ X0))),
% 1.37/0.83 inference('clc', [status(thm)], [zip_derived_cl52, zip_derived_cl6])).
% 1.37/0.83 thf(zip_derived_cl2, plain,
% 1.37/0.83 (![X0 : $i]: ( (c @ X0) | (d @ X0) | ~ (a @ X0))),
% 1.37/0.83 inference('cnf', [status(esa)], [clause_3])).
% 1.37/0.83 thf(zip_derived_cl58, plain,
% 1.37/0.83 (![X0 : $i]: (~ (e @ X0) | (d @ (u2r2 @ X0)) | (c @ (u2r2 @ X0)))),
% 1.37/0.83 inference('sup-', [status(thm)], [zip_derived_cl57, zip_derived_cl2])).
% 1.37/0.83 thf(zip_derived_cl67, plain,
% 1.37/0.83 (( (c @ (u2r2 @ exist)) | (d @ (u2r2 @ exist)))),
% 1.37/0.83 inference('sup-', [status(thm)], [zip_derived_cl0, zip_derived_cl58])).
% 1.37/0.83 thf(zip_derived_cl22, plain,
% 1.37/0.83 (![X0 : $i]: ( (r @ X0 @ (u2r2 @ X0)) | ~ (r3least @ X0))),
% 1.37/0.83 inference('cnf', [status(esa)], [clause_23])).
% 1.37/0.83 thf(clause_31, axiom,
% 1.37/0.83 (( f @ X1 ) | ( equalish @ X3 @ X2 ) | ( ~( r @ X1 @ X3 ) ) |
% 1.37/0.83 ( ~( r @ X1 @ X2 ) ) | ( ~( d @ X3 ) ) | ( ~( d @ X2 ) ))).
% 1.37/0.83 thf(zip_derived_cl30, plain,
% 1.37/0.83 (![X0 : $i, X1 : $i, X2 : $i]:
% 1.37/0.83 ( (f @ X0)
% 1.37/0.83 | (equalish @ X1 @ X2)
% 1.37/0.83 | ~ (r @ X0 @ X1)
% 1.37/0.83 | ~ (r @ X0 @ X2)
% 1.37/0.83 | ~ (d @ X1)
% 1.37/0.83 | ~ (d @ X2))),
% 1.37/0.83 inference('cnf', [status(esa)], [clause_31])).
% 1.37/0.83 thf(zip_derived_cl80, plain,
% 1.37/0.83 (![X0 : $i, X1 : $i]:
% 1.37/0.83 (~ (r3least @ X0)
% 1.37/0.83 | ~ (d @ X1)
% 1.37/0.83 | ~ (d @ (u2r2 @ X0))
% 1.37/0.83 | ~ (r @ X0 @ X1)
% 1.37/0.83 | (equalish @ (u2r2 @ X0) @ X1)
% 1.37/0.83 | (f @ X0))),
% 1.37/0.83 inference('sup-', [status(thm)], [zip_derived_cl22, zip_derived_cl30])).
% 1.37/0.83 thf(zip_derived_cl121, plain,
% 1.37/0.83 (![X0 : $i]:
% 1.37/0.83 ( (c @ (u2r2 @ exist))
% 1.37/0.83 | (f @ exist)
% 1.37/0.83 | (equalish @ (u2r2 @ exist) @ X0)
% 1.37/0.83 | ~ (r @ exist @ X0)
% 1.37/0.83 | ~ (d @ X0)
% 1.37/0.83 | ~ (r3least @ exist))),
% 1.37/0.83 inference('sup-', [status(thm)], [zip_derived_cl67, zip_derived_cl80])).
% 1.37/0.83 thf(clause_2, conjecture, (f @ exist)).
% 1.37/0.83 thf(zf_stmt_1, negated_conjecture, (~( f @ exist )),
% 1.37/0.83 inference('cnf.neg', [status(esa)], [clause_2])).
% 1.37/0.83 thf(zip_derived_cl1, plain, (~ (f @ exist)),
% 1.37/0.83 inference('cnf', [status(esa)], [zf_stmt_1])).
% 1.37/0.83 thf(zip_derived_cl0, plain, ( (e @ exist)),
% 1.37/0.83 inference('cnf', [status(esa)], [zf_stmt_0])).
% 1.37/0.83 thf(zip_derived_cl6, plain, (![X0 : $i]: ( (r3least @ X0) | ~ (e @ X0))),
% 1.37/0.83 inference('cnf', [status(esa)], [clause_7])).
% 1.37/0.83 thf(zip_derived_cl31, plain, ( (r3least @ exist)),
% 1.37/0.83 inference('sup-', [status(thm)], [zip_derived_cl0, zip_derived_cl6])).
% 1.37/0.83 thf(zip_derived_cl122, plain,
% 1.37/0.83 (![X0 : $i]:
% 1.37/0.83 ( (c @ (u2r2 @ exist))
% 1.37/0.83 | (equalish @ (u2r2 @ exist) @ X0)
% 1.37/0.83 | ~ (r @ exist @ X0)
% 1.37/0.83 | ~ (d @ X0))),
% 1.37/0.83 inference('demod', [status(thm)],
% 1.37/0.83 [zip_derived_cl121, zip_derived_cl1, zip_derived_cl31])).
% 1.37/0.83 thf(zip_derived_cl135, plain,
% 1.37/0.83 ((~ (r3least @ exist)
% 1.37/0.83 | ~ (d @ (u2r1 @ exist))
% 1.37/0.83 | (equalish @ (u2r2 @ exist) @ (u2r1 @ exist))
% 1.37/0.83 | (c @ (u2r2 @ exist)))),
% 1.37/0.83 inference('sup-', [status(thm)], [zip_derived_cl21, zip_derived_cl122])).
% 1.37/0.83 thf(zip_derived_cl31, plain, ( (r3least @ exist)),
% 1.37/0.83 inference('sup-', [status(thm)], [zip_derived_cl0, zip_derived_cl6])).
% 1.37/0.83 thf(zip_derived_cl140, plain,
% 1.37/0.83 ((~ (d @ (u2r1 @ exist))
% 1.37/0.83 | (equalish @ (u2r2 @ exist) @ (u2r1 @ exist))
% 1.37/0.83 | (c @ (u2r2 @ exist)))),
% 1.37/0.83 inference('demod', [status(thm)], [zip_derived_cl135, zip_derived_cl31])).
% 1.37/0.83 thf(zip_derived_cl165, plain,
% 1.37/0.83 (( (c @ (u2r1 @ exist))
% 1.37/0.83 | (c @ (u2r2 @ exist))
% 1.37/0.83 | (equalish @ (u2r2 @ exist) @ (u2r1 @ exist)))),
% 1.37/0.83 inference('sup-', [status(thm)], [zip_derived_cl61, zip_derived_cl140])).
% 1.37/0.83 thf(clause_19, axiom,
% 1.37/0.83 (( ~( r3least @ X1 ) ) | ( ~( equalish @ ( u2r2 @ X1 ) @ ( u2r1 @ X1 ) ) ))).
% 1.37/0.83 thf(zip_derived_cl18, plain,
% 1.37/0.83 (![X0 : $i]:
% 1.37/0.83 (~ (r3least @ X0) | ~ (equalish @ (u2r2 @ X0) @ (u2r1 @ X0)))),
% 1.37/0.83 inference('cnf', [status(esa)], [clause_19])).
% 1.37/0.83 thf(zip_derived_cl173, plain,
% 1.37/0.83 (( (c @ (u2r2 @ exist)) | (c @ (u2r1 @ exist)) | ~ (r3least @ exist))),
% 1.37/0.83 inference('sup-', [status(thm)], [zip_derived_cl165, zip_derived_cl18])).
% 1.37/0.83 thf(zip_derived_cl31, plain, ( (r3least @ exist)),
% 1.37/0.83 inference('sup-', [status(thm)], [zip_derived_cl0, zip_derived_cl6])).
% 1.37/0.83 thf(zip_derived_cl174, plain,
% 1.37/0.83 (( (c @ (u2r2 @ exist)) | (c @ (u2r1 @ exist)))),
% 1.37/0.83 inference('demod', [status(thm)], [zip_derived_cl173, zip_derived_cl31])).
% 1.37/0.83 thf(clause_24, axiom, (( r @ X1 @ ( u2r3 @ X1 ) ) | ( ~( r3least @ X1 ) ))).
% 1.37/0.83 thf(zip_derived_cl23, plain,
% 1.37/0.83 (![X0 : $i]: ( (r @ X0 @ (u2r3 @ X0)) | ~ (r3least @ X0))),
% 1.37/0.83 inference('cnf', [status(esa)], [clause_24])).
% 1.37/0.83 thf(clause_6, axiom,
% 1.37/0.83 (( equalish @ X4 @ X3 ) | ( ~( e @ X1 ) ) | ( ~( r @ X1 @ X4 ) ) |
% 1.37/0.83 ( ~( r @ X1 @ X3 ) ) | ( ~( c @ X4 ) ) | ( ~( c @ X3 ) ))).
% 1.37/0.83 thf(zip_derived_cl5, plain,
% 1.37/0.83 (![X0 : $i, X1 : $i, X2 : $i]:
% 1.37/0.83 ( (equalish @ X0 @ X1)
% 1.37/0.83 | ~ (e @ X2)
% 1.37/0.83 | ~ (r @ X2 @ X0)
% 1.37/0.83 | ~ (r @ X2 @ X1)
% 1.37/0.83 | ~ (c @ X0)
% 1.37/0.83 | ~ (c @ X1))),
% 1.37/0.83 inference('cnf', [status(esa)], [clause_6])).
% 1.37/0.83 thf(zip_derived_cl53, plain,
% 1.37/0.83 (![X0 : $i, X1 : $i]:
% 1.37/0.83 (~ (r3least @ X0)
% 1.37/0.83 | ~ (c @ X1)
% 1.37/0.83 | ~ (c @ (u2r3 @ X0))
% 1.37/0.83 | ~ (r @ X0 @ X1)
% 1.37/0.83 | ~ (e @ X0)
% 1.37/0.83 | (equalish @ (u2r3 @ X0) @ X1))),
% 1.37/0.83 inference('sup-', [status(thm)], [zip_derived_cl23, zip_derived_cl5])).
% 1.37/0.83 thf(zip_derived_cl6, plain, (![X0 : $i]: ( (r3least @ X0) | ~ (e @ X0))),
% 1.37/0.83 inference('cnf', [status(esa)], [clause_7])).
% 1.37/0.83 thf(zip_derived_cl253, plain,
% 1.37/0.83 (![X0 : $i, X1 : $i]:
% 1.37/0.83 ( (equalish @ (u2r3 @ X0) @ X1)
% 1.37/0.83 | ~ (e @ X0)
% 1.37/0.83 | ~ (r @ X0 @ X1)
% 1.37/0.83 | ~ (c @ (u2r3 @ X0))
% 1.37/0.83 | ~ (c @ X1))),
% 1.37/0.83 inference('clc', [status(thm)], [zip_derived_cl53, zip_derived_cl6])).
% 1.37/0.83 thf(clause_21, axiom,
% 1.37/0.83 (( ~( r3least @ X1 ) ) | ( ~( equalish @ ( u2r3 @ X1 ) @ ( u2r2 @ X1 ) ) ))).
% 1.37/0.83 thf(zip_derived_cl20, plain,
% 1.37/0.83 (![X0 : $i]:
% 1.37/0.83 (~ (r3least @ X0) | ~ (equalish @ (u2r3 @ X0) @ (u2r2 @ X0)))),
% 1.37/0.83 inference('cnf', [status(esa)], [clause_21])).
% 1.37/0.83 thf(zip_derived_cl254, plain,
% 1.37/0.83 (![X0 : $i]:
% 1.37/0.83 (~ (c @ (u2r2 @ X0))
% 1.37/0.83 | ~ (c @ (u2r3 @ X0))
% 1.37/0.83 | ~ (r @ X0 @ (u2r2 @ X0))
% 1.37/0.83 | ~ (e @ X0)
% 1.37/0.83 | ~ (r3least @ X0))),
% 1.37/0.83 inference('sup-', [status(thm)], [zip_derived_cl253, zip_derived_cl20])).
% 1.37/0.83 thf(zip_derived_cl22, plain,
% 1.37/0.83 (![X0 : $i]: ( (r @ X0 @ (u2r2 @ X0)) | ~ (r3least @ X0))),
% 1.37/0.83 inference('cnf', [status(esa)], [clause_23])).
% 1.37/0.83 thf(zip_derived_cl256, plain,
% 1.37/0.83 (![X0 : $i]:
% 1.37/0.83 (~ (r3least @ X0)
% 1.37/0.83 | ~ (e @ X0)
% 1.37/0.83 | ~ (c @ (u2r3 @ X0))
% 1.37/0.83 | ~ (c @ (u2r2 @ X0)))),
% 1.37/0.83 inference('clc', [status(thm)], [zip_derived_cl254, zip_derived_cl22])).
% 1.37/0.83 thf(zip_derived_cl6, plain, (![X0 : $i]: ( (r3least @ X0) | ~ (e @ X0))),
% 1.37/0.83 inference('cnf', [status(esa)], [clause_7])).
% 1.37/0.83 thf(zip_derived_cl257, plain,
% 1.37/0.83 (![X0 : $i]: (~ (c @ (u2r2 @ X0)) | ~ (c @ (u2r3 @ X0)) | ~ (e @ X0))),
% 1.37/0.83 inference('clc', [status(thm)], [zip_derived_cl256, zip_derived_cl6])).
% 1.37/0.83 thf(zip_derived_cl258, plain,
% 1.37/0.83 (( (c @ (u2r1 @ exist)) | ~ (e @ exist) | ~ (c @ (u2r3 @ exist)))),
% 1.37/0.83 inference('sup-', [status(thm)], [zip_derived_cl174, zip_derived_cl257])).
% 1.37/0.83 thf(zip_derived_cl0, plain, ( (e @ exist)),
% 1.37/0.83 inference('cnf', [status(esa)], [zf_stmt_0])).
% 1.37/0.83 thf(zip_derived_cl260, plain,
% 1.37/0.83 (( (c @ (u2r1 @ exist)) | ~ (c @ (u2r3 @ exist)))),
% 1.37/0.83 inference('demod', [status(thm)], [zip_derived_cl258, zip_derived_cl0])).
% 1.37/0.83 thf(zip_derived_cl61, plain,
% 1.37/0.83 (( (c @ (u2r1 @ exist)) | (d @ (u2r1 @ exist)))),
% 1.37/0.83 inference('sup-', [status(thm)], [zip_derived_cl0, zip_derived_cl56])).
% 1.37/0.83 thf(zip_derived_cl21, plain,
% 1.37/0.83 (![X0 : $i]: ( (r @ X0 @ (u2r1 @ X0)) | ~ (r3least @ X0))),
% 1.37/0.83 inference('cnf', [status(esa)], [clause_22])).
% 1.37/0.83 thf(zip_derived_cl0, plain, ( (e @ exist)),
% 1.37/0.83 inference('cnf', [status(esa)], [zf_stmt_0])).
% 1.37/0.83 thf(zip_derived_cl23, plain,
% 1.37/0.83 (![X0 : $i]: ( (r @ X0 @ (u2r3 @ X0)) | ~ (r3least @ X0))),
% 1.37/0.83 inference('cnf', [status(esa)], [clause_24])).
% 1.37/0.83 thf(zip_derived_cl7, plain,
% 1.37/0.83 (![X0 : $i, X1 : $i]: ( (a @ X0) | ~ (e @ X1) | ~ (r @ X1 @ X0))),
% 1.37/0.83 inference('cnf', [status(esa)], [clause_8])).
% 1.37/0.83 thf(zip_derived_cl54, plain,
% 1.37/0.83 (![X0 : $i]: (~ (r3least @ X0) | ~ (e @ X0) | (a @ (u2r3 @ X0)))),
% 1.37/0.83 inference('sup-', [status(thm)], [zip_derived_cl23, zip_derived_cl7])).
% 1.37/0.83 thf(zip_derived_cl6, plain, (![X0 : $i]: ( (r3least @ X0) | ~ (e @ X0))),
% 1.37/0.83 inference('cnf', [status(esa)], [clause_7])).
% 1.37/0.83 thf(zip_derived_cl59, plain, (![X0 : $i]: ( (a @ (u2r3 @ X0)) | ~ (e @ X0))),
% 1.37/0.83 inference('clc', [status(thm)], [zip_derived_cl54, zip_derived_cl6])).
% 1.37/0.83 thf(zip_derived_cl2, plain,
% 1.37/0.83 (![X0 : $i]: ( (c @ X0) | (d @ X0) | ~ (a @ X0))),
% 1.37/0.83 inference('cnf', [status(esa)], [clause_3])).
% 1.37/0.83 thf(zip_derived_cl60, plain,
% 1.37/0.83 (![X0 : $i]: (~ (e @ X0) | (d @ (u2r3 @ X0)) | (c @ (u2r3 @ X0)))),
% 1.37/0.83 inference('sup-', [status(thm)], [zip_derived_cl59, zip_derived_cl2])).
% 1.37/0.83 thf(zip_derived_cl77, plain,
% 1.37/0.83 (( (c @ (u2r3 @ exist)) | (d @ (u2r3 @ exist)))),
% 1.37/0.83 inference('sup-', [status(thm)], [zip_derived_cl0, zip_derived_cl60])).
% 1.37/0.83 thf(zip_derived_cl23, plain,
% 1.37/0.83 (![X0 : $i]: ( (r @ X0 @ (u2r3 @ X0)) | ~ (r3least @ X0))),
% 1.37/0.83 inference('cnf', [status(esa)], [clause_24])).
% 1.37/0.83 thf(zip_derived_cl30, plain,
% 1.37/0.83 (![X0 : $i, X1 : $i, X2 : $i]:
% 1.37/0.83 ( (f @ X0)
% 1.37/0.83 | (equalish @ X1 @ X2)
% 1.37/0.83 | ~ (r @ X0 @ X1)
% 1.37/0.83 | ~ (r @ X0 @ X2)
% 1.37/0.83 | ~ (d @ X1)
% 1.37/0.83 | ~ (d @ X2))),
% 1.37/0.83 inference('cnf', [status(esa)], [clause_31])).
% 1.37/0.83 thf(zip_derived_cl82, plain,
% 1.37/0.83 (![X0 : $i, X1 : $i]:
% 1.37/0.83 (~ (r3least @ X0)
% 1.37/0.83 | ~ (d @ X1)
% 1.37/0.83 | ~ (d @ (u2r3 @ X0))
% 1.37/0.83 | ~ (r @ X0 @ X1)
% 1.37/0.83 | (equalish @ (u2r3 @ X0) @ X1)
% 1.37/0.83 | (f @ X0))),
% 1.37/0.83 inference('sup-', [status(thm)], [zip_derived_cl23, zip_derived_cl30])).
% 1.37/0.83 thf(zip_derived_cl125, plain,
% 1.37/0.83 (![X0 : $i]:
% 1.37/0.83 ( (c @ (u2r3 @ exist))
% 1.37/0.83 | (f @ exist)
% 1.37/0.83 | (equalish @ (u2r3 @ exist) @ X0)
% 1.37/0.83 | ~ (r @ exist @ X0)
% 1.37/0.83 | ~ (d @ X0)
% 1.37/0.83 | ~ (r3least @ exist))),
% 1.37/0.83 inference('sup-', [status(thm)], [zip_derived_cl77, zip_derived_cl82])).
% 1.37/0.83 thf(zip_derived_cl1, plain, (~ (f @ exist)),
% 1.37/0.83 inference('cnf', [status(esa)], [zf_stmt_1])).
% 1.37/0.83 thf(zip_derived_cl31, plain, ( (r3least @ exist)),
% 1.37/0.83 inference('sup-', [status(thm)], [zip_derived_cl0, zip_derived_cl6])).
% 1.37/0.83 thf(zip_derived_cl126, plain,
% 1.37/0.83 (![X0 : $i]:
% 1.37/0.83 ( (c @ (u2r3 @ exist))
% 1.37/0.83 | (equalish @ (u2r3 @ exist) @ X0)
% 1.37/0.83 | ~ (r @ exist @ X0)
% 1.37/0.83 | ~ (d @ X0))),
% 1.37/0.83 inference('demod', [status(thm)],
% 1.37/0.83 [zip_derived_cl125, zip_derived_cl1, zip_derived_cl31])).
% 1.37/0.83 thf(zip_derived_cl155, plain,
% 1.37/0.83 ((~ (r3least @ exist)
% 1.37/0.83 | ~ (d @ (u2r1 @ exist))
% 1.37/0.83 | (equalish @ (u2r3 @ exist) @ (u2r1 @ exist))
% 1.37/0.83 | (c @ (u2r3 @ exist)))),
% 1.37/0.83 inference('sup-', [status(thm)], [zip_derived_cl21, zip_derived_cl126])).
% 1.37/0.83 thf(zip_derived_cl31, plain, ( (r3least @ exist)),
% 1.37/0.83 inference('sup-', [status(thm)], [zip_derived_cl0, zip_derived_cl6])).
% 1.37/0.83 thf(zip_derived_cl160, plain,
% 1.37/0.83 ((~ (d @ (u2r1 @ exist))
% 1.37/0.83 | (equalish @ (u2r3 @ exist) @ (u2r1 @ exist))
% 1.37/0.83 | (c @ (u2r3 @ exist)))),
% 1.37/0.83 inference('demod', [status(thm)], [zip_derived_cl155, zip_derived_cl31])).
% 1.37/0.83 thf(zip_derived_cl171, plain,
% 1.37/0.83 (( (c @ (u2r1 @ exist))
% 1.37/0.83 | (c @ (u2r3 @ exist))
% 1.37/0.83 | (equalish @ (u2r3 @ exist) @ (u2r1 @ exist)))),
% 1.37/0.83 inference('sup-', [status(thm)], [zip_derived_cl61, zip_derived_cl160])).
% 1.37/0.83 thf(clause_20, axiom,
% 1.37/0.83 (( ~( r3least @ X1 ) ) | ( ~( equalish @ ( u2r3 @ X1 ) @ ( u2r1 @ X1 ) ) ))).
% 1.37/0.83 thf(zip_derived_cl19, plain,
% 1.37/0.83 (![X0 : $i]:
% 1.37/0.83 (~ (r3least @ X0) | ~ (equalish @ (u2r3 @ X0) @ (u2r1 @ X0)))),
% 1.37/0.83 inference('cnf', [status(esa)], [clause_20])).
% 1.37/0.83 thf(zip_derived_cl195, plain,
% 1.37/0.83 (( (c @ (u2r3 @ exist)) | (c @ (u2r1 @ exist)) | ~ (r3least @ exist))),
% 1.37/0.83 inference('sup-', [status(thm)], [zip_derived_cl171, zip_derived_cl19])).
% 1.37/0.83 thf(zip_derived_cl31, plain, ( (r3least @ exist)),
% 1.37/0.83 inference('sup-', [status(thm)], [zip_derived_cl0, zip_derived_cl6])).
% 1.37/0.83 thf(zip_derived_cl196, plain,
% 1.37/0.83 (( (c @ (u2r3 @ exist)) | (c @ (u2r1 @ exist)))),
% 1.37/0.83 inference('demod', [status(thm)], [zip_derived_cl195, zip_derived_cl31])).
% 1.37/0.83 thf(zip_derived_cl22, plain,
% 1.37/0.83 (![X0 : $i]: ( (r @ X0 @ (u2r2 @ X0)) | ~ (r3least @ X0))),
% 1.37/0.83 inference('cnf', [status(esa)], [clause_23])).
% 1.37/0.83 thf(zip_derived_cl5, plain,
% 1.37/0.83 (![X0 : $i, X1 : $i, X2 : $i]:
% 1.37/0.83 ( (equalish @ X0 @ X1)
% 1.37/0.83 | ~ (e @ X2)
% 1.37/0.83 | ~ (r @ X2 @ X0)
% 1.37/0.83 | ~ (r @ X2 @ X1)
% 1.37/0.83 | ~ (c @ X0)
% 1.37/0.83 | ~ (c @ X1))),
% 1.37/0.83 inference('cnf', [status(esa)], [clause_6])).
% 1.37/0.83 thf(zip_derived_cl51, plain,
% 1.37/0.83 (![X0 : $i, X1 : $i]:
% 1.37/0.83 (~ (r3least @ X0)
% 1.37/0.83 | ~ (c @ X1)
% 1.37/0.83 | ~ (c @ (u2r2 @ X0))
% 1.37/0.83 | ~ (r @ X0 @ X1)
% 1.37/0.83 | ~ (e @ X0)
% 1.37/0.83 | (equalish @ (u2r2 @ X0) @ X1))),
% 1.37/0.83 inference('sup-', [status(thm)], [zip_derived_cl22, zip_derived_cl5])).
% 1.37/0.83 thf(zip_derived_cl6, plain, (![X0 : $i]: ( (r3least @ X0) | ~ (e @ X0))),
% 1.37/0.83 inference('cnf', [status(esa)], [clause_7])).
% 1.37/0.83 thf(zip_derived_cl215, plain,
% 1.37/0.83 (![X0 : $i, X1 : $i]:
% 1.37/0.83 ( (equalish @ (u2r2 @ X0) @ X1)
% 1.37/0.83 | ~ (e @ X0)
% 1.37/0.83 | ~ (r @ X0 @ X1)
% 1.37/0.83 | ~ (c @ (u2r2 @ X0))
% 1.37/0.83 | ~ (c @ X1))),
% 1.37/0.83 inference('clc', [status(thm)], [zip_derived_cl51, zip_derived_cl6])).
% 1.37/0.83 thf(zip_derived_cl18, plain,
% 1.37/0.83 (![X0 : $i]:
% 1.37/0.83 (~ (r3least @ X0) | ~ (equalish @ (u2r2 @ X0) @ (u2r1 @ X0)))),
% 1.37/0.83 inference('cnf', [status(esa)], [clause_19])).
% 1.37/0.83 thf(zip_derived_cl216, plain,
% 1.37/0.83 (![X0 : $i]:
% 1.37/0.83 (~ (c @ (u2r1 @ X0))
% 1.37/0.83 | ~ (c @ (u2r2 @ X0))
% 1.37/0.83 | ~ (r @ X0 @ (u2r1 @ X0))
% 1.37/0.83 | ~ (e @ X0)
% 1.37/0.83 | ~ (r3least @ X0))),
% 1.37/0.83 inference('sup-', [status(thm)], [zip_derived_cl215, zip_derived_cl18])).
% 1.37/0.83 thf(zip_derived_cl21, plain,
% 1.37/0.83 (![X0 : $i]: ( (r @ X0 @ (u2r1 @ X0)) | ~ (r3least @ X0))),
% 1.37/0.83 inference('cnf', [status(esa)], [clause_22])).
% 1.37/0.83 thf(zip_derived_cl249, plain,
% 1.37/0.83 (![X0 : $i]:
% 1.37/0.83 (~ (r3least @ X0)
% 1.37/0.83 | ~ (e @ X0)
% 1.37/0.83 | ~ (c @ (u2r2 @ X0))
% 1.37/0.83 | ~ (c @ (u2r1 @ X0)))),
% 1.37/0.83 inference('clc', [status(thm)], [zip_derived_cl216, zip_derived_cl21])).
% 1.37/0.83 thf(zip_derived_cl6, plain, (![X0 : $i]: ( (r3least @ X0) | ~ (e @ X0))),
% 1.37/0.83 inference('cnf', [status(esa)], [clause_7])).
% 1.37/0.83 thf(zip_derived_cl250, plain,
% 1.37/0.83 (![X0 : $i]: (~ (c @ (u2r1 @ X0)) | ~ (c @ (u2r2 @ X0)) | ~ (e @ X0))),
% 1.37/0.83 inference('clc', [status(thm)], [zip_derived_cl249, zip_derived_cl6])).
% 1.37/0.83 thf(zip_derived_cl251, plain,
% 1.37/0.83 (( (c @ (u2r3 @ exist)) | ~ (e @ exist) | ~ (c @ (u2r2 @ exist)))),
% 1.37/0.83 inference('sup-', [status(thm)], [zip_derived_cl196, zip_derived_cl250])).
% 1.37/0.83 thf(zip_derived_cl0, plain, ( (e @ exist)),
% 1.37/0.83 inference('cnf', [status(esa)], [zf_stmt_0])).
% 1.37/0.83 thf(zip_derived_cl252, plain,
% 1.37/0.83 (( (c @ (u2r3 @ exist)) | ~ (c @ (u2r2 @ exist)))),
% 1.37/0.83 inference('demod', [status(thm)], [zip_derived_cl251, zip_derived_cl0])).
% 1.37/0.83 thf(zip_derived_cl67, plain,
% 1.37/0.83 (( (c @ (u2r2 @ exist)) | (d @ (u2r2 @ exist)))),
% 1.37/0.83 inference('sup-', [status(thm)], [zip_derived_cl0, zip_derived_cl58])).
% 1.37/0.83 thf(zip_derived_cl22, plain,
% 1.37/0.83 (![X0 : $i]: ( (r @ X0 @ (u2r2 @ X0)) | ~ (r3least @ X0))),
% 1.37/0.83 inference('cnf', [status(esa)], [clause_23])).
% 1.37/0.83 thf(zip_derived_cl126, plain,
% 1.37/0.83 (![X0 : $i]:
% 1.37/0.83 ( (c @ (u2r3 @ exist))
% 1.37/0.83 | (equalish @ (u2r3 @ exist) @ X0)
% 1.37/0.83 | ~ (r @ exist @ X0)
% 1.37/0.83 | ~ (d @ X0))),
% 1.37/0.83 inference('demod', [status(thm)],
% 1.37/0.83 [zip_derived_cl125, zip_derived_cl1, zip_derived_cl31])).
% 1.37/0.83 thf(zip_derived_cl154, plain,
% 1.37/0.83 ((~ (r3least @ exist)
% 1.37/0.83 | ~ (d @ (u2r2 @ exist))
% 1.37/0.83 | (equalish @ (u2r3 @ exist) @ (u2r2 @ exist))
% 1.37/0.83 | (c @ (u2r3 @ exist)))),
% 1.37/0.83 inference('sup-', [status(thm)], [zip_derived_cl22, zip_derived_cl126])).
% 1.37/0.83 thf(zip_derived_cl31, plain, ( (r3least @ exist)),
% 1.37/0.83 inference('sup-', [status(thm)], [zip_derived_cl0, zip_derived_cl6])).
% 1.37/0.83 thf(zip_derived_cl159, plain,
% 1.37/0.83 ((~ (d @ (u2r2 @ exist))
% 1.37/0.83 | (equalish @ (u2r3 @ exist) @ (u2r2 @ exist))
% 1.37/0.83 | (c @ (u2r3 @ exist)))),
% 1.37/0.83 inference('demod', [status(thm)], [zip_derived_cl154, zip_derived_cl31])).
% 1.37/0.83 thf(zip_derived_cl170, plain,
% 1.37/0.83 (( (c @ (u2r2 @ exist))
% 1.37/0.83 | (c @ (u2r3 @ exist))
% 1.37/0.83 | (equalish @ (u2r3 @ exist) @ (u2r2 @ exist)))),
% 1.37/0.83 inference('sup-', [status(thm)], [zip_derived_cl67, zip_derived_cl159])).
% 1.37/0.83 thf(zip_derived_cl20, plain,
% 1.37/0.83 (![X0 : $i]:
% 1.37/0.83 (~ (r3least @ X0) | ~ (equalish @ (u2r3 @ X0) @ (u2r2 @ X0)))),
% 1.37/0.83 inference('cnf', [status(esa)], [clause_21])).
% 1.37/0.83 thf(zip_derived_cl189, plain,
% 1.37/0.83 (( (c @ (u2r3 @ exist)) | (c @ (u2r2 @ exist)) | ~ (r3least @ exist))),
% 1.37/0.83 inference('sup-', [status(thm)], [zip_derived_cl170, zip_derived_cl20])).
% 1.37/0.83 thf(zip_derived_cl31, plain, ( (r3least @ exist)),
% 1.37/0.83 inference('sup-', [status(thm)], [zip_derived_cl0, zip_derived_cl6])).
% 1.37/0.83 thf(zip_derived_cl190, plain,
% 1.37/0.83 (( (c @ (u2r3 @ exist)) | (c @ (u2r2 @ exist)))),
% 1.37/0.83 inference('demod', [status(thm)], [zip_derived_cl189, zip_derived_cl31])).
% 1.37/0.83 thf(zip_derived_cl276, plain, ( (c @ (u2r3 @ exist))),
% 1.37/0.83 inference('clc', [status(thm)], [zip_derived_cl252, zip_derived_cl190])).
% 1.37/0.83 thf(zip_derived_cl283, plain, ( (c @ (u2r1 @ exist))),
% 1.37/0.83 inference('demod', [status(thm)], [zip_derived_cl260, zip_derived_cl276])).
% 1.37/0.83 thf(zip_derived_cl253, plain,
% 1.37/0.83 (![X0 : $i, X1 : $i]:
% 1.37/0.83 ( (equalish @ (u2r3 @ X0) @ X1)
% 1.37/0.83 | ~ (e @ X0)
% 1.37/0.83 | ~ (r @ X0 @ X1)
% 1.37/0.83 | ~ (c @ (u2r3 @ X0))
% 1.37/0.83 | ~ (c @ X1))),
% 1.37/0.83 inference('clc', [status(thm)], [zip_derived_cl53, zip_derived_cl6])).
% 1.37/0.83 thf(zip_derived_cl19, plain,
% 1.37/0.83 (![X0 : $i]:
% 1.37/0.83 (~ (r3least @ X0) | ~ (equalish @ (u2r3 @ X0) @ (u2r1 @ X0)))),
% 1.37/0.83 inference('cnf', [status(esa)], [clause_20])).
% 1.37/0.83 thf(zip_derived_cl255, plain,
% 1.37/0.83 (![X0 : $i]:
% 1.37/0.83 (~ (c @ (u2r1 @ X0))
% 1.37/0.83 | ~ (c @ (u2r3 @ X0))
% 1.37/0.83 | ~ (r @ X0 @ (u2r1 @ X0))
% 1.37/0.83 | ~ (e @ X0)
% 1.37/0.83 | ~ (r3least @ X0))),
% 1.37/0.83 inference('sup-', [status(thm)], [zip_derived_cl253, zip_derived_cl19])).
% 1.37/0.83 thf(zip_derived_cl21, plain,
% 1.37/0.83 (![X0 : $i]: ( (r @ X0 @ (u2r1 @ X0)) | ~ (r3least @ X0))),
% 1.37/0.83 inference('cnf', [status(esa)], [clause_22])).
% 1.37/0.83 thf(zip_derived_cl262, plain,
% 1.37/0.83 (![X0 : $i]:
% 1.37/0.83 (~ (r3least @ X0)
% 1.37/0.83 | ~ (e @ X0)
% 1.37/0.83 | ~ (c @ (u2r3 @ X0))
% 1.37/0.83 | ~ (c @ (u2r1 @ X0)))),
% 1.37/0.83 inference('clc', [status(thm)], [zip_derived_cl255, zip_derived_cl21])).
% 1.37/0.83 thf(zip_derived_cl6, plain, (![X0 : $i]: ( (r3least @ X0) | ~ (e @ X0))),
% 1.37/0.83 inference('cnf', [status(esa)], [clause_7])).
% 1.37/0.83 thf(zip_derived_cl263, plain,
% 1.37/0.83 (![X0 : $i]: (~ (c @ (u2r1 @ X0)) | ~ (c @ (u2r3 @ X0)) | ~ (e @ X0))),
% 1.37/0.83 inference('clc', [status(thm)], [zip_derived_cl262, zip_derived_cl6])).
% 1.37/0.83 thf(zip_derived_cl287, plain, ((~ (e @ exist) | ~ (c @ (u2r3 @ exist)))),
% 1.37/0.83 inference('sup-', [status(thm)], [zip_derived_cl283, zip_derived_cl263])).
% 1.37/0.83 thf(zip_derived_cl0, plain, ( (e @ exist)),
% 1.37/0.83 inference('cnf', [status(esa)], [zf_stmt_0])).
% 1.37/0.83 thf(zip_derived_cl276, plain, ( (c @ (u2r3 @ exist))),
% 1.37/0.83 inference('clc', [status(thm)], [zip_derived_cl252, zip_derived_cl190])).
% 1.37/0.83 thf(zip_derived_cl293, plain, ($false),
% 1.37/0.83 inference('demod', [status(thm)],
% 1.37/0.83 [zip_derived_cl287, zip_derived_cl0, zip_derived_cl276])).
% 1.37/0.83
% 1.37/0.83 % SZS output end Refutation
% 1.37/0.83
% 1.37/0.83
% 1.37/0.83 % Terminating...
% 2.10/0.93 % Runner terminated.
% 2.10/0.94 % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------