%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : KRS010-1 : TPTP v9.2.0. Released v2.0.0.
% Transfm : none
% Format : tptp:raw
% Command : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.e7NtC3V5J6 true
% Computer : n024.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 04:40:26 PM UTC 2025
% Result : Unsatisfiable 0.56s 0.81s
% Output : Refutation 0.56s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12 % Problem : KRS010-1 : TPTP v9.2.0. Released v2.0.0.
% 0.11/0.13 % Command : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.e7NtC3V5J6 true
% 0.14/0.35 % Computer : n024.cluster.edu
% 0.14/0.35 % Model : x86_64 x86_64
% 0.14/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.35 % Memory : 8042.1875MB
% 0.14/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.35 % CPULimit : 300
% 0.14/0.35 % WCLimit : 300
% 0.14/0.35 % DateTime : Wed Oct 1 11:54:23 EDT 2025
% 0.14/0.35 % CPUTime :
% 0.14/0.35 % Running portfolio for 300 s
% 0.14/0.35 % File : /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.14/0.35 % Number of cores: 8
% 0.14/0.35 % Python version: Python 3.6.8
% 0.14/0.35 % Running in FO mode
% 0.55/0.64 % Total configuration time : 435
% 0.55/0.64 % Estimated wc time : 1092
% 0.55/0.64 % Estimated cpu time (7 cpus) : 156.0
% 0.55/0.71 % /export/starexec/sandbox/solver/bin/fo/fo6_bce.sh running for 75s
% 0.55/0.72 % /export/starexec/sandbox/solver/bin/fo/fo3_bce.sh running for 75s
% 0.55/0.72 % /export/starexec/sandbox/solver/bin/fo/fo1_av.sh running for 75s
% 0.55/0.74 % /export/starexec/sandbox/solver/bin/fo/fo7.sh running for 63s
% 0.55/0.75 % /export/starexec/sandbox/solver/bin/fo/fo13.sh running for 50s
% 0.55/0.76 % /export/starexec/sandbox/solver/bin/fo/fo5.sh running for 50s
% 0.56/0.77 % /export/starexec/sandbox/solver/bin/fo/fo4.sh running for 50s
% 0.56/0.81 % Solved by fo/fo3_bce.sh.
% 0.56/0.81 % BCE start: 31
% 0.56/0.81 % BCE eliminated: 0
% 0.56/0.81 % PE start: 31
% 0.56/0.81 logic: neq
% 0.56/0.81 % PE eliminated: -15
% 0.56/0.81 % done 122 iterations in 0.068s
% 0.56/0.81 % SZS status Theorem for '/export/starexec/sandbox/benchmark/theBenchmark.p'
% 0.56/0.81 % SZS output start Refutation
% 0.56/0.81 thf(exist_type, type, exist: $i).
% 0.56/0.81 thf(u2r2_type, type, u2r2: $i > $i).
% 0.56/0.81 thf(d_type, type, d: $i > $o).
% 0.56/0.81 thf(a_type, type, a: $i > $o).
% 0.56/0.81 thf(e_type, type, e: $i > $o).
% 0.56/0.81 thf(f_type, type, f: $i > $o).
% 0.56/0.81 thf(r_type, type, r: $i > $i > $o).
% 0.56/0.81 thf(u2r3_type, type, u2r3: $i > $i).
% 0.56/0.81 thf(c_type, type, c: $i > $o).
% 0.56/0.81 thf(equalish_type, type, equalish: $i > $i > $o).
% 0.56/0.81 thf(u2r1_type, type, u2r1: $i > $i).
% 0.56/0.81 thf(r3least_type, type, r3least: $i > $o).
% 0.56/0.81 thf(clause_20, axiom,
% 0.56/0.81 (( ~( r3least @ X1 ) ) | ( ~( equalish @ ( u2r3 @ X1 ) @ ( u2r1 @ X1 ) ) ))).
% 0.56/0.81 thf(zip_derived_cl19, plain,
% 0.56/0.81 (![X0 : $i]:
% 0.56/0.81 (~ (r3least @ X0) | ~ (equalish @ (u2r3 @ X0) @ (u2r1 @ X0)))),
% 0.56/0.81 inference('cnf', [status(esa)], [clause_20])).
% 0.56/0.81 thf(clause_24, axiom, (( r @ X1 @ ( u2r3 @ X1 ) ) | ( ~( r3least @ X1 ) ))).
% 0.56/0.81 thf(zip_derived_cl23, plain,
% 0.56/0.81 (![X0 : $i]: ( (r @ X0 @ (u2r3 @ X0)) | ~ (r3least @ X0))),
% 0.56/0.81 inference('cnf', [status(esa)], [clause_24])).
% 0.56/0.81 thf(clause_22, axiom, (( r @ X1 @ ( u2r1 @ X1 ) ) | ( ~( r3least @ X1 ) ))).
% 0.56/0.81 thf(zip_derived_cl21, plain,
% 0.56/0.81 (![X0 : $i]: ( (r @ X0 @ (u2r1 @ X0)) | ~ (r3least @ X0))),
% 0.56/0.81 inference('cnf', [status(esa)], [clause_22])).
% 0.56/0.81 thf(clause_1, conjecture, (~( e @ exist ))).
% 0.56/0.81 thf(zf_stmt_0, negated_conjecture, (e @ exist),
% 0.56/0.81 inference('cnf.neg', [status(esa)], [clause_1])).
% 0.56/0.81 thf(zip_derived_cl0, plain, ( (e @ exist)),
% 0.56/0.81 inference('cnf', [status(esa)], [zf_stmt_0])).
% 0.56/0.81 thf(clause_6, axiom,
% 0.56/0.81 (( equalish @ X4 @ X3 ) | ( ~( e @ X1 ) ) | ( ~( r @ X1 @ X4 ) ) |
% 0.56/0.81 ( ~( r @ X1 @ X3 ) ) | ( ~( c @ X4 ) ) | ( ~( c @ X3 ) ))).
% 0.56/0.81 thf(zip_derived_cl5, plain,
% 0.56/0.81 (![X0 : $i, X1 : $i, X2 : $i]:
% 0.56/0.81 ( (equalish @ X0 @ X1)
% 0.56/0.81 | ~ (e @ X2)
% 0.56/0.81 | ~ (r @ X2 @ X0)
% 0.56/0.81 | ~ (r @ X2 @ X1)
% 0.56/0.81 | ~ (c @ X0)
% 0.56/0.81 | ~ (c @ X1))),
% 0.56/0.81 inference('cnf', [status(esa)], [clause_6])).
% 0.56/0.81 thf(zip_derived_cl50, plain,
% 0.56/0.81 (![X0 : $i, X1 : $i]:
% 0.56/0.81 (~ (c @ X0)
% 0.56/0.81 | ~ (c @ X1)
% 0.56/0.81 | ~ (r @ exist @ X0)
% 0.56/0.81 | ~ (r @ exist @ X1)
% 0.56/0.81 | (equalish @ X1 @ X0))),
% 0.56/0.81 inference('dp-resolution', [status(thm)],
% 0.56/0.81 [zip_derived_cl0, zip_derived_cl5])).
% 0.56/0.81 thf(zip_derived_cl209, plain,
% 0.56/0.81 (![X0 : $i]:
% 0.56/0.81 (~ (r3least @ exist)
% 0.56/0.81 | (equalish @ X0 @ (u2r1 @ exist))
% 0.56/0.81 | ~ (r @ exist @ X0)
% 0.56/0.81 | ~ (c @ X0)
% 0.56/0.81 | ~ (c @ (u2r1 @ exist)))),
% 0.56/0.81 inference('sup-', [status(thm)], [zip_derived_cl21, zip_derived_cl50])).
% 0.56/0.81 thf(zip_derived_cl0, plain, ( (e @ exist)),
% 0.56/0.81 inference('cnf', [status(esa)], [zf_stmt_0])).
% 0.56/0.81 thf(clause_7, axiom, (( r3least @ X1 ) | ( ~( e @ X1 ) ))).
% 0.56/0.81 thf(zip_derived_cl6, plain, (![X0 : $i]: ( (r3least @ X0) | ~ (e @ X0))),
% 0.56/0.81 inference('cnf', [status(esa)], [clause_7])).
% 0.56/0.81 thf(zip_derived_cl51, plain, ( (r3least @ exist)),
% 0.56/0.81 inference('dp-resolution', [status(thm)],
% 0.56/0.81 [zip_derived_cl0, zip_derived_cl6])).
% 0.56/0.81 thf(zip_derived_cl214, plain,
% 0.56/0.81 (![X0 : $i]:
% 0.56/0.81 ( (equalish @ X0 @ (u2r1 @ exist))
% 0.56/0.81 | ~ (r @ exist @ X0)
% 0.56/0.81 | ~ (c @ X0)
% 0.56/0.81 | ~ (c @ (u2r1 @ exist)))),
% 0.56/0.81 inference('demod', [status(thm)], [zip_derived_cl209, zip_derived_cl51])).
% 0.56/0.81 thf(clause_19, axiom,
% 0.56/0.81 (( ~( r3least @ X1 ) ) | ( ~( equalish @ ( u2r2 @ X1 ) @ ( u2r1 @ X1 ) ) ))).
% 0.56/0.81 thf(zip_derived_cl18, plain,
% 0.56/0.81 (![X0 : $i]:
% 0.56/0.81 (~ (r3least @ X0) | ~ (equalish @ (u2r2 @ X0) @ (u2r1 @ X0)))),
% 0.56/0.81 inference('cnf', [status(esa)], [clause_19])).
% 0.56/0.81 thf(clause_23, axiom, (( r @ X1 @ ( u2r2 @ X1 ) ) | ( ~( r3least @ X1 ) ))).
% 0.56/0.81 thf(zip_derived_cl22, plain,
% 0.56/0.81 (![X0 : $i]: ( (r @ X0 @ (u2r2 @ X0)) | ~ (r3least @ X0))),
% 0.56/0.81 inference('cnf', [status(esa)], [clause_23])).
% 0.56/0.81 thf(zip_derived_cl21, plain,
% 0.56/0.81 (![X0 : $i]: ( (r @ X0 @ (u2r1 @ X0)) | ~ (r3least @ X0))),
% 0.56/0.81 inference('cnf', [status(esa)], [clause_22])).
% 0.56/0.81 thf(clause_31, axiom,
% 0.56/0.81 (( f @ X1 ) | ( equalish @ X3 @ X2 ) | ( ~( r @ X1 @ X3 ) ) |
% 0.56/0.81 ( ~( r @ X1 @ X2 ) ) | ( ~( d @ X3 ) ) | ( ~( d @ X2 ) ))).
% 0.56/0.81 thf(zip_derived_cl30, plain,
% 0.56/0.81 (![X0 : $i, X1 : $i, X2 : $i]:
% 0.56/0.81 ( (f @ X0)
% 0.56/0.81 | (equalish @ X1 @ X2)
% 0.56/0.81 | ~ (r @ X0 @ X1)
% 0.56/0.81 | ~ (r @ X0 @ X2)
% 0.56/0.81 | ~ (d @ X1)
% 0.56/0.81 | ~ (d @ X2))),
% 0.56/0.81 inference('cnf', [status(esa)], [clause_31])).
% 0.56/0.81 thf(clause_2, conjecture, (f @ exist)).
% 0.56/0.81 thf(zf_stmt_1, negated_conjecture, (~( f @ exist )),
% 0.56/0.81 inference('cnf.neg', [status(esa)], [clause_2])).
% 0.56/0.81 thf(zip_derived_cl1, plain, (~ (f @ exist)),
% 0.56/0.81 inference('cnf', [status(esa)], [zf_stmt_1])).
% 0.56/0.81 thf(zip_derived_cl33, plain,
% 0.56/0.81 (![X0 : $i, X1 : $i]:
% 0.56/0.81 (~ (d @ X0)
% 0.56/0.81 | ~ (d @ X1)
% 0.56/0.81 | ~ (r @ exist @ X0)
% 0.56/0.81 | ~ (r @ exist @ X1)
% 0.56/0.81 | (equalish @ X1 @ X0))),
% 0.56/0.81 inference('dp-resolution', [status(thm)],
% 0.56/0.81 [zip_derived_cl30, zip_derived_cl1])).
% 0.56/0.81 thf(zip_derived_cl183, plain,
% 0.56/0.81 (![X0 : $i]:
% 0.56/0.81 (~ (r3least @ exist)
% 0.56/0.81 | (equalish @ X0 @ (u2r1 @ exist))
% 0.56/0.81 | ~ (r @ exist @ X0)
% 0.56/0.81 | ~ (d @ X0)
% 0.56/0.81 | ~ (d @ (u2r1 @ exist)))),
% 0.56/0.81 inference('sup-', [status(thm)], [zip_derived_cl21, zip_derived_cl33])).
% 0.56/0.81 thf(zip_derived_cl51, plain, ( (r3least @ exist)),
% 0.56/0.81 inference('dp-resolution', [status(thm)],
% 0.56/0.81 [zip_derived_cl0, zip_derived_cl6])).
% 0.56/0.81 thf(zip_derived_cl188, plain,
% 0.56/0.81 (![X0 : $i]:
% 0.56/0.81 ( (equalish @ X0 @ (u2r1 @ exist))
% 0.56/0.81 | ~ (r @ exist @ X0)
% 0.56/0.81 | ~ (d @ X0)
% 0.56/0.81 | ~ (d @ (u2r1 @ exist)))),
% 0.56/0.81 inference('demod', [status(thm)], [zip_derived_cl183, zip_derived_cl51])).
% 0.56/0.81 thf(zip_derived_cl245, plain,
% 0.56/0.81 ((~ (r3least @ exist)
% 0.56/0.81 | ~ (d @ (u2r1 @ exist))
% 0.56/0.81 | ~ (d @ (u2r2 @ exist))
% 0.56/0.81 | (equalish @ (u2r2 @ exist) @ (u2r1 @ exist)))),
% 0.56/0.81 inference('sup-', [status(thm)], [zip_derived_cl22, zip_derived_cl188])).
% 0.56/0.81 thf(zip_derived_cl51, plain, ( (r3least @ exist)),
% 0.56/0.81 inference('dp-resolution', [status(thm)],
% 0.56/0.81 [zip_derived_cl0, zip_derived_cl6])).
% 0.56/0.81 thf(zip_derived_cl248, plain,
% 0.56/0.81 ((~ (d @ (u2r1 @ exist))
% 0.56/0.81 | ~ (d @ (u2r2 @ exist))
% 0.56/0.81 | (equalish @ (u2r2 @ exist) @ (u2r1 @ exist)))),
% 0.56/0.81 inference('demod', [status(thm)], [zip_derived_cl245, zip_derived_cl51])).
% 0.56/0.81 thf(zip_derived_cl419, plain,
% 0.56/0.81 ((~ (r3least @ exist) | ~ (d @ (u2r2 @ exist)) | ~ (d @ (u2r1 @ exist)))),
% 0.56/0.81 inference('sup+', [status(thm)], [zip_derived_cl18, zip_derived_cl248])).
% 0.56/0.81 thf(zip_derived_cl51, plain, ( (r3least @ exist)),
% 0.56/0.81 inference('dp-resolution', [status(thm)],
% 0.56/0.81 [zip_derived_cl0, zip_derived_cl6])).
% 0.56/0.81 thf(zip_derived_cl420, plain,
% 0.56/0.81 ((~ (d @ (u2r2 @ exist)) | ~ (d @ (u2r1 @ exist)))),
% 0.56/0.81 inference('demod', [status(thm)], [zip_derived_cl419, zip_derived_cl51])).
% 0.56/0.81 thf(zip_derived_cl0, plain, ( (e @ exist)),
% 0.56/0.81 inference('cnf', [status(esa)], [zf_stmt_0])).
% 0.56/0.81 thf(clause_8, axiom, (( a @ X2 ) | ( ~( e @ X1 ) ) | ( ~( r @ X1 @ X2 ) ))).
% 0.56/0.81 thf(zip_derived_cl7, plain,
% 0.56/0.81 (![X0 : $i, X1 : $i]: ( (a @ X0) | ~ (e @ X1) | ~ (r @ X1 @ X0))),
% 0.56/0.81 inference('cnf', [status(esa)], [clause_8])).
% 0.56/0.81 thf(clause_3, axiom, (( c @ X1 ) | ( d @ X1 ) | ( ~( a @ X1 ) ))).
% 0.56/0.81 thf(zip_derived_cl2, plain,
% 0.56/0.81 (![X0 : $i]: ( (c @ X0) | (d @ X0) | ~ (a @ X0))),
% 0.56/0.81 inference('cnf', [status(esa)], [clause_3])).
% 0.56/0.81 thf(zip_derived_cl39, plain,
% 0.56/0.81 (![X0 : $i, X1 : $i]:
% 0.56/0.81 (~ (r @ X1 @ X0) | ~ (e @ X1) | (d @ X0) | (c @ X0))),
% 0.56/0.81 inference('dp-resolution', [status(thm)],
% 0.56/0.81 [zip_derived_cl7, zip_derived_cl2])).
% 0.56/0.81 thf(zip_derived_cl52, plain,
% 0.56/0.81 (![X0 : $i]: ( (c @ X0) | (d @ X0) | ~ (r @ exist @ X0))),
% 0.56/0.81 inference('dp-resolution', [status(thm)],
% 0.56/0.81 [zip_derived_cl0, zip_derived_cl39])).
% 0.56/0.81 thf(zip_derived_cl21, plain,
% 0.56/0.81 (![X0 : $i]: ( (r @ X0 @ (u2r1 @ X0)) | ~ (r3least @ X0))),
% 0.56/0.81 inference('cnf', [status(esa)], [clause_22])).
% 0.56/0.81 thf(zip_derived_cl171, plain,
% 0.56/0.81 (( (d @ (u2r1 @ exist)) | (c @ (u2r1 @ exist)) | ~ (r3least @ exist))),
% 0.56/0.81 inference('sup+', [status(thm)], [zip_derived_cl52, zip_derived_cl21])).
% 0.56/0.81 thf(zip_derived_cl51, plain, ( (r3least @ exist)),
% 0.56/0.81 inference('dp-resolution', [status(thm)],
% 0.56/0.81 [zip_derived_cl0, zip_derived_cl6])).
% 0.56/0.81 thf(zip_derived_cl172, plain,
% 0.56/0.81 (( (d @ (u2r1 @ exist)) | (c @ (u2r1 @ exist)))),
% 0.56/0.81 inference('demod', [status(thm)], [zip_derived_cl171, zip_derived_cl51])).
% 0.56/0.81 thf(zip_derived_cl422, plain,
% 0.56/0.81 ((~ (d @ (u2r2 @ exist)) | (c @ (u2r1 @ exist)))),
% 0.56/0.81 inference('sup+', [status(thm)], [zip_derived_cl420, zip_derived_cl172])).
% 0.56/0.81 thf(zip_derived_cl52, plain,
% 0.56/0.81 (![X0 : $i]: ( (c @ X0) | (d @ X0) | ~ (r @ exist @ X0))),
% 0.56/0.81 inference('dp-resolution', [status(thm)],
% 0.56/0.81 [zip_derived_cl0, zip_derived_cl39])).
% 0.56/0.81 thf(zip_derived_cl22, plain,
% 0.56/0.81 (![X0 : $i]: ( (r @ X0 @ (u2r2 @ X0)) | ~ (r3least @ X0))),
% 0.56/0.81 inference('cnf', [status(esa)], [clause_23])).
% 0.56/0.81 thf(zip_derived_cl175, plain,
% 0.56/0.81 (( (d @ (u2r2 @ exist)) | (c @ (u2r2 @ exist)) | ~ (r3least @ exist))),
% 0.56/0.81 inference('sup+', [status(thm)], [zip_derived_cl52, zip_derived_cl22])).
% 0.56/0.81 thf(zip_derived_cl51, plain, ( (r3least @ exist)),
% 0.56/0.81 inference('dp-resolution', [status(thm)],
% 0.56/0.81 [zip_derived_cl0, zip_derived_cl6])).
% 0.56/0.81 thf(zip_derived_cl176, plain,
% 0.56/0.81 (( (d @ (u2r2 @ exist)) | (c @ (u2r2 @ exist)))),
% 0.56/0.81 inference('demod', [status(thm)], [zip_derived_cl175, zip_derived_cl51])).
% 0.56/0.81 thf(zip_derived_cl18, plain,
% 0.56/0.81 (![X0 : $i]:
% 0.56/0.81 (~ (r3least @ X0) | ~ (equalish @ (u2r2 @ X0) @ (u2r1 @ X0)))),
% 0.56/0.81 inference('cnf', [status(esa)], [clause_19])).
% 0.56/0.81 thf(zip_derived_cl22, plain,
% 0.56/0.81 (![X0 : $i]: ( (r @ X0 @ (u2r2 @ X0)) | ~ (r3least @ X0))),
% 0.56/0.81 inference('cnf', [status(esa)], [clause_23])).
% 0.56/0.81 thf(zip_derived_cl214, plain,
% 0.56/0.81 (![X0 : $i]:
% 0.56/0.81 ( (equalish @ X0 @ (u2r1 @ exist))
% 0.56/0.81 | ~ (r @ exist @ X0)
% 0.56/0.81 | ~ (c @ X0)
% 0.56/0.81 | ~ (c @ (u2r1 @ exist)))),
% 0.56/0.81 inference('demod', [status(thm)], [zip_derived_cl209, zip_derived_cl51])).
% 0.56/0.81 thf(zip_derived_cl292, plain,
% 0.56/0.81 ((~ (r3least @ exist)
% 0.56/0.81 | ~ (c @ (u2r1 @ exist))
% 0.56/0.81 | ~ (c @ (u2r2 @ exist))
% 0.56/0.81 | (equalish @ (u2r2 @ exist) @ (u2r1 @ exist)))),
% 0.56/0.81 inference('sup-', [status(thm)], [zip_derived_cl22, zip_derived_cl214])).
% 0.56/0.81 thf(zip_derived_cl51, plain, ( (r3least @ exist)),
% 0.56/0.81 inference('dp-resolution', [status(thm)],
% 0.56/0.81 [zip_derived_cl0, zip_derived_cl6])).
% 0.56/0.81 thf(zip_derived_cl295, plain,
% 0.56/0.81 ((~ (c @ (u2r1 @ exist))
% 0.56/0.81 | ~ (c @ (u2r2 @ exist))
% 0.56/0.81 | (equalish @ (u2r2 @ exist) @ (u2r1 @ exist)))),
% 0.56/0.81 inference('demod', [status(thm)], [zip_derived_cl292, zip_derived_cl51])).
% 0.56/0.81 thf(clause_21, axiom,
% 0.56/0.81 (( ~( r3least @ X1 ) ) | ( ~( equalish @ ( u2r3 @ X1 ) @ ( u2r2 @ X1 ) ) ))).
% 0.56/0.81 thf(zip_derived_cl20, plain,
% 0.56/0.81 (![X0 : $i]:
% 0.56/0.81 (~ (r3least @ X0) | ~ (equalish @ (u2r3 @ X0) @ (u2r2 @ X0)))),
% 0.56/0.81 inference('cnf', [status(esa)], [clause_21])).
% 0.56/0.81 thf(zip_derived_cl23, plain,
% 0.56/0.81 (![X0 : $i]: ( (r @ X0 @ (u2r3 @ X0)) | ~ (r3least @ X0))),
% 0.56/0.81 inference('cnf', [status(esa)], [clause_24])).
% 0.56/0.81 thf(zip_derived_cl22, plain,
% 0.56/0.81 (![X0 : $i]: ( (r @ X0 @ (u2r2 @ X0)) | ~ (r3least @ X0))),
% 0.56/0.81 inference('cnf', [status(esa)], [clause_23])).
% 0.56/0.81 thf(zip_derived_cl50, plain,
% 0.56/0.81 (![X0 : $i, X1 : $i]:
% 0.56/0.81 (~ (c @ X0)
% 0.56/0.81 | ~ (c @ X1)
% 0.56/0.81 | ~ (r @ exist @ X0)
% 0.56/0.81 | ~ (r @ exist @ X1)
% 0.56/0.81 | (equalish @ X1 @ X0))),
% 0.56/0.81 inference('dp-resolution', [status(thm)],
% 0.56/0.81 [zip_derived_cl0, zip_derived_cl5])).
% 0.56/0.81 thf(zip_derived_cl208, plain,
% 0.56/0.81 (![X0 : $i]:
% 0.56/0.81 (~ (r3least @ exist)
% 0.56/0.81 | (equalish @ X0 @ (u2r2 @ exist))
% 0.56/0.81 | ~ (r @ exist @ X0)
% 0.56/0.81 | ~ (c @ X0)
% 0.56/0.81 | ~ (c @ (u2r2 @ exist)))),
% 0.56/0.81 inference('sup-', [status(thm)], [zip_derived_cl22, zip_derived_cl50])).
% 0.56/0.81 thf(zip_derived_cl51, plain, ( (r3least @ exist)),
% 0.56/0.81 inference('dp-resolution', [status(thm)],
% 0.56/0.81 [zip_derived_cl0, zip_derived_cl6])).
% 0.56/0.81 thf(zip_derived_cl213, plain,
% 0.56/0.81 (![X0 : $i]:
% 0.56/0.81 ( (equalish @ X0 @ (u2r2 @ exist))
% 0.56/0.81 | ~ (r @ exist @ X0)
% 0.56/0.81 | ~ (c @ X0)
% 0.56/0.81 | ~ (c @ (u2r2 @ exist)))),
% 0.56/0.81 inference('demod', [status(thm)], [zip_derived_cl208, zip_derived_cl51])).
% 0.56/0.81 thf(zip_derived_cl280, plain,
% 0.56/0.81 ((~ (r3least @ exist)
% 0.56/0.81 | ~ (c @ (u2r2 @ exist))
% 0.56/0.81 | ~ (c @ (u2r3 @ exist))
% 0.56/0.81 | (equalish @ (u2r3 @ exist) @ (u2r2 @ exist)))),
% 0.56/0.81 inference('sup-', [status(thm)], [zip_derived_cl23, zip_derived_cl213])).
% 0.56/0.81 thf(zip_derived_cl51, plain, ( (r3least @ exist)),
% 0.56/0.81 inference('dp-resolution', [status(thm)],
% 0.56/0.81 [zip_derived_cl0, zip_derived_cl6])).
% 0.56/0.81 thf(zip_derived_cl284, plain,
% 0.56/0.81 ((~ (c @ (u2r2 @ exist))
% 0.56/0.81 | ~ (c @ (u2r3 @ exist))
% 0.56/0.81 | (equalish @ (u2r3 @ exist) @ (u2r2 @ exist)))),
% 0.56/0.81 inference('demod', [status(thm)], [zip_derived_cl280, zip_derived_cl51])).
% 0.56/0.81 thf(zip_derived_cl453, plain,
% 0.56/0.81 ((~ (r3least @ exist) | ~ (c @ (u2r3 @ exist)) | ~ (c @ (u2r2 @ exist)))),
% 0.56/0.81 inference('sup+', [status(thm)], [zip_derived_cl20, zip_derived_cl284])).
% 0.56/0.81 thf(zip_derived_cl51, plain, ( (r3least @ exist)),
% 0.56/0.81 inference('dp-resolution', [status(thm)],
% 0.56/0.81 [zip_derived_cl0, zip_derived_cl6])).
% 0.56/0.81 thf(zip_derived_cl454, plain,
% 0.56/0.81 ((~ (c @ (u2r3 @ exist)) | ~ (c @ (u2r2 @ exist)))),
% 0.56/0.81 inference('demod', [status(thm)], [zip_derived_cl453, zip_derived_cl51])).
% 0.56/0.81 thf(zip_derived_cl19, plain,
% 0.56/0.81 (![X0 : $i]:
% 0.56/0.81 (~ (r3least @ X0) | ~ (equalish @ (u2r3 @ X0) @ (u2r1 @ X0)))),
% 0.56/0.81 inference('cnf', [status(esa)], [clause_20])).
% 0.56/0.81 thf(zip_derived_cl23, plain,
% 0.56/0.81 (![X0 : $i]: ( (r @ X0 @ (u2r3 @ X0)) | ~ (r3least @ X0))),
% 0.56/0.81 inference('cnf', [status(esa)], [clause_24])).
% 0.56/0.81 thf(zip_derived_cl188, plain,
% 0.56/0.81 (![X0 : $i]:
% 0.56/0.81 ( (equalish @ X0 @ (u2r1 @ exist))
% 0.56/0.81 | ~ (r @ exist @ X0)
% 0.56/0.81 | ~ (d @ X0)
% 0.56/0.81 | ~ (d @ (u2r1 @ exist)))),
% 0.56/0.81 inference('demod', [status(thm)], [zip_derived_cl183, zip_derived_cl51])).
% 0.56/0.81 thf(zip_derived_cl247, plain,
% 0.56/0.81 ((~ (r3least @ exist)
% 0.56/0.81 | ~ (d @ (u2r1 @ exist))
% 0.56/0.81 | ~ (d @ (u2r3 @ exist))
% 0.56/0.81 | (equalish @ (u2r3 @ exist) @ (u2r1 @ exist)))),
% 0.56/0.81 inference('sup-', [status(thm)], [zip_derived_cl23, zip_derived_cl188])).
% 0.56/0.81 thf(zip_derived_cl51, plain, ( (r3least @ exist)),
% 0.56/0.81 inference('dp-resolution', [status(thm)],
% 0.56/0.81 [zip_derived_cl0, zip_derived_cl6])).
% 0.56/0.81 thf(zip_derived_cl251, plain,
% 0.56/0.81 ((~ (d @ (u2r1 @ exist))
% 0.56/0.81 | ~ (d @ (u2r3 @ exist))
% 0.56/0.81 | (equalish @ (u2r3 @ exist) @ (u2r1 @ exist)))),
% 0.56/0.81 inference('demod', [status(thm)], [zip_derived_cl247, zip_derived_cl51])).
% 0.56/0.81 thf(zip_derived_cl434, plain,
% 0.56/0.81 ((~ (r3least @ exist) | ~ (d @ (u2r3 @ exist)) | ~ (d @ (u2r1 @ exist)))),
% 0.56/0.81 inference('sup+', [status(thm)], [zip_derived_cl19, zip_derived_cl251])).
% 0.56/0.81 thf(zip_derived_cl51, plain, ( (r3least @ exist)),
% 0.56/0.81 inference('dp-resolution', [status(thm)],
% 0.56/0.81 [zip_derived_cl0, zip_derived_cl6])).
% 0.56/0.81 thf(zip_derived_cl435, plain,
% 0.56/0.81 ((~ (d @ (u2r3 @ exist)) | ~ (d @ (u2r1 @ exist)))),
% 0.56/0.81 inference('demod', [status(thm)], [zip_derived_cl434, zip_derived_cl51])).
% 0.56/0.81 thf(zip_derived_cl52, plain,
% 0.56/0.81 (![X0 : $i]: ( (c @ X0) | (d @ X0) | ~ (r @ exist @ X0))),
% 0.56/0.81 inference('dp-resolution', [status(thm)],
% 0.56/0.81 [zip_derived_cl0, zip_derived_cl39])).
% 0.56/0.81 thf(zip_derived_cl23, plain,
% 0.56/0.81 (![X0 : $i]: ( (r @ X0 @ (u2r3 @ X0)) | ~ (r3least @ X0))),
% 0.56/0.81 inference('cnf', [status(esa)], [clause_24])).
% 0.56/0.81 thf(zip_derived_cl179, plain,
% 0.56/0.81 (( (d @ (u2r3 @ exist)) | (c @ (u2r3 @ exist)) | ~ (r3least @ exist))),
% 0.56/0.81 inference('sup+', [status(thm)], [zip_derived_cl52, zip_derived_cl23])).
% 0.56/0.81 thf(zip_derived_cl51, plain, ( (r3least @ exist)),
% 0.56/0.81 inference('dp-resolution', [status(thm)],
% 0.56/0.81 [zip_derived_cl0, zip_derived_cl6])).
% 0.56/0.81 thf(zip_derived_cl180, plain,
% 0.56/0.81 (( (d @ (u2r3 @ exist)) | (c @ (u2r3 @ exist)))),
% 0.56/0.81 inference('demod', [status(thm)], [zip_derived_cl179, zip_derived_cl51])).
% 0.56/0.81 thf(zip_derived_cl437, plain,
% 0.56/0.81 ((~ (d @ (u2r1 @ exist)) | (c @ (u2r3 @ exist)))),
% 0.56/0.81 inference('sup+', [status(thm)], [zip_derived_cl435, zip_derived_cl180])).
% 0.56/0.81 thf(zip_derived_cl457, plain,
% 0.56/0.81 ((~ (c @ (u2r2 @ exist)) | ~ (d @ (u2r1 @ exist)))),
% 0.56/0.81 inference('sup+', [status(thm)], [zip_derived_cl454, zip_derived_cl437])).
% 0.56/0.81 thf(zip_derived_cl172, plain,
% 0.56/0.81 (( (d @ (u2r1 @ exist)) | (c @ (u2r1 @ exist)))),
% 0.56/0.81 inference('demod', [status(thm)], [zip_derived_cl171, zip_derived_cl51])).
% 0.56/0.81 thf(zip_derived_cl462, plain,
% 0.56/0.81 ((~ (c @ (u2r2 @ exist)) | (c @ (u2r1 @ exist)))),
% 0.56/0.81 inference('sup+', [status(thm)], [zip_derived_cl457, zip_derived_cl172])).
% 0.56/0.81 thf(zip_derived_cl475, plain,
% 0.56/0.81 (( (equalish @ (u2r2 @ exist) @ (u2r1 @ exist)) | ~ (c @ (u2r2 @ exist)))),
% 0.56/0.81 inference('clc', [status(thm)], [zip_derived_cl295, zip_derived_cl462])).
% 0.56/0.81 thf(zip_derived_cl477, plain,
% 0.56/0.81 ((~ (r3least @ exist) | ~ (c @ (u2r2 @ exist)))),
% 0.56/0.81 inference('sup+', [status(thm)], [zip_derived_cl18, zip_derived_cl475])).
% 0.56/0.81 thf(zip_derived_cl51, plain, ( (r3least @ exist)),
% 0.56/0.81 inference('dp-resolution', [status(thm)],
% 0.56/0.81 [zip_derived_cl0, zip_derived_cl6])).
% 0.56/0.81 thf(zip_derived_cl478, plain, (~ (c @ (u2r2 @ exist))),
% 0.56/0.81 inference('demod', [status(thm)], [zip_derived_cl477, zip_derived_cl51])).
% 0.56/0.81 thf(zip_derived_cl480, plain, ( (d @ (u2r2 @ exist))),
% 0.56/0.81 inference('demod', [status(thm)], [zip_derived_cl176, zip_derived_cl478])).
% 0.56/0.81 thf(zip_derived_cl486, plain, ( (c @ (u2r1 @ exist))),
% 0.56/0.81 inference('demod', [status(thm)], [zip_derived_cl422, zip_derived_cl480])).
% 0.56/0.81 thf(zip_derived_cl500, plain,
% 0.56/0.81 (![X0 : $i]:
% 0.56/0.81 ( (equalish @ X0 @ (u2r1 @ exist)) | ~ (r @ exist @ X0) | ~ (c @ X0))),
% 0.56/0.81 inference('demod', [status(thm)], [zip_derived_cl214, zip_derived_cl486])).
% 0.56/0.81 thf(zip_derived_cl540, plain,
% 0.56/0.81 ((~ (r3least @ exist)
% 0.56/0.81 | ~ (c @ (u2r3 @ exist))
% 0.56/0.81 | (equalish @ (u2r3 @ exist) @ (u2r1 @ exist)))),
% 0.56/0.81 inference('sup-', [status(thm)], [zip_derived_cl23, zip_derived_cl500])).
% 0.56/0.81 thf(zip_derived_cl51, plain, ( (r3least @ exist)),
% 0.56/0.81 inference('dp-resolution', [status(thm)],
% 0.56/0.81 [zip_derived_cl0, zip_derived_cl6])).
% 0.56/0.81 thf(zip_derived_cl20, plain,
% 0.56/0.81 (![X0 : $i]:
% 0.56/0.81 (~ (r3least @ X0) | ~ (equalish @ (u2r3 @ X0) @ (u2r2 @ X0)))),
% 0.56/0.81 inference('cnf', [status(esa)], [clause_21])).
% 0.56/0.81 thf(zip_derived_cl23, plain,
% 0.56/0.81 (![X0 : $i]: ( (r @ X0 @ (u2r3 @ X0)) | ~ (r3least @ X0))),
% 0.56/0.81 inference('cnf', [status(esa)], [clause_24])).
% 0.56/0.81 thf(zip_derived_cl22, plain,
% 0.56/0.81 (![X0 : $i]: ( (r @ X0 @ (u2r2 @ X0)) | ~ (r3least @ X0))),
% 0.56/0.81 inference('cnf', [status(esa)], [clause_23])).
% 0.56/0.81 thf(zip_derived_cl33, plain,
% 0.56/0.81 (![X0 : $i, X1 : $i]:
% 0.56/0.81 (~ (d @ X0)
% 0.56/0.81 | ~ (d @ X1)
% 0.56/0.81 | ~ (r @ exist @ X0)
% 0.56/0.81 | ~ (r @ exist @ X1)
% 0.56/0.81 | (equalish @ X1 @ X0))),
% 0.56/0.81 inference('dp-resolution', [status(thm)],
% 0.56/0.81 [zip_derived_cl30, zip_derived_cl1])).
% 0.56/0.81 thf(zip_derived_cl182, plain,
% 0.56/0.81 (![X0 : $i]:
% 0.56/0.81 (~ (r3least @ exist)
% 0.56/0.81 | (equalish @ X0 @ (u2r2 @ exist))
% 0.56/0.81 | ~ (r @ exist @ X0)
% 0.56/0.81 | ~ (d @ X0)
% 0.56/0.81 | ~ (d @ (u2r2 @ exist)))),
% 0.56/0.81 inference('sup-', [status(thm)], [zip_derived_cl22, zip_derived_cl33])).
% 0.56/0.81 thf(zip_derived_cl51, plain, ( (r3least @ exist)),
% 0.56/0.81 inference('dp-resolution', [status(thm)],
% 0.56/0.81 [zip_derived_cl0, zip_derived_cl6])).
% 0.56/0.81 thf(zip_derived_cl187, plain,
% 0.56/0.81 (![X0 : $i]:
% 0.56/0.81 ( (equalish @ X0 @ (u2r2 @ exist))
% 0.56/0.81 | ~ (r @ exist @ X0)
% 0.56/0.81 | ~ (d @ X0)
% 0.56/0.81 | ~ (d @ (u2r2 @ exist)))),
% 0.56/0.81 inference('demod', [status(thm)], [zip_derived_cl182, zip_derived_cl51])).
% 0.56/0.81 thf(zip_derived_cl233, plain,
% 0.56/0.81 ((~ (r3least @ exist)
% 0.56/0.81 | ~ (d @ (u2r2 @ exist))
% 0.56/0.81 | ~ (d @ (u2r3 @ exist))
% 0.56/0.81 | (equalish @ (u2r3 @ exist) @ (u2r2 @ exist)))),
% 0.56/0.81 inference('sup-', [status(thm)], [zip_derived_cl23, zip_derived_cl187])).
% 0.56/0.81 thf(zip_derived_cl51, plain, ( (r3least @ exist)),
% 0.56/0.81 inference('dp-resolution', [status(thm)],
% 0.56/0.81 [zip_derived_cl0, zip_derived_cl6])).
% 0.56/0.81 thf(zip_derived_cl237, plain,
% 0.56/0.81 ((~ (d @ (u2r2 @ exist))
% 0.56/0.81 | ~ (d @ (u2r3 @ exist))
% 0.56/0.81 | (equalish @ (u2r3 @ exist) @ (u2r2 @ exist)))),
% 0.56/0.81 inference('demod', [status(thm)], [zip_derived_cl233, zip_derived_cl51])).
% 0.56/0.81 thf(zip_derived_cl364, plain,
% 0.56/0.81 ((~ (r3least @ exist) | ~ (d @ (u2r3 @ exist)) | ~ (d @ (u2r2 @ exist)))),
% 0.56/0.81 inference('sup+', [status(thm)], [zip_derived_cl20, zip_derived_cl237])).
% 0.56/0.81 thf(zip_derived_cl51, plain, ( (r3least @ exist)),
% 0.56/0.81 inference('dp-resolution', [status(thm)],
% 0.56/0.81 [zip_derived_cl0, zip_derived_cl6])).
% 0.56/0.81 thf(zip_derived_cl365, plain,
% 0.56/0.81 ((~ (d @ (u2r3 @ exist)) | ~ (d @ (u2r2 @ exist)))),
% 0.56/0.81 inference('demod', [status(thm)], [zip_derived_cl364, zip_derived_cl51])).
% 0.56/0.81 thf(zip_derived_cl180, plain,
% 0.56/0.81 (( (d @ (u2r3 @ exist)) | (c @ (u2r3 @ exist)))),
% 0.56/0.81 inference('demod', [status(thm)], [zip_derived_cl179, zip_derived_cl51])).
% 0.56/0.81 thf(zip_derived_cl367, plain,
% 0.56/0.81 ((~ (d @ (u2r2 @ exist)) | (c @ (u2r3 @ exist)))),
% 0.56/0.81 inference('sup+', [status(thm)], [zip_derived_cl365, zip_derived_cl180])).
% 0.56/0.81 thf(zip_derived_cl480, plain, ( (d @ (u2r2 @ exist))),
% 0.56/0.81 inference('demod', [status(thm)], [zip_derived_cl176, zip_derived_cl478])).
% 0.56/0.81 thf(zip_derived_cl484, plain, ( (c @ (u2r3 @ exist))),
% 0.56/0.81 inference('demod', [status(thm)], [zip_derived_cl367, zip_derived_cl480])).
% 0.56/0.81 thf(zip_derived_cl543, plain,
% 0.56/0.81 ( (equalish @ (u2r3 @ exist) @ (u2r1 @ exist))),
% 0.56/0.81 inference('demod', [status(thm)],
% 0.56/0.81 [zip_derived_cl540, zip_derived_cl51, zip_derived_cl484])).
% 0.56/0.81 thf(zip_derived_cl548, plain, (~ (r3least @ exist)),
% 0.56/0.81 inference('sup+', [status(thm)], [zip_derived_cl19, zip_derived_cl543])).
% 0.56/0.81 thf(zip_derived_cl51, plain, ( (r3least @ exist)),
% 0.56/0.81 inference('dp-resolution', [status(thm)],
% 0.56/0.81 [zip_derived_cl0, zip_derived_cl6])).
% 0.56/0.81 thf(zip_derived_cl549, plain, ($false),
% 0.56/0.81 inference('demod', [status(thm)], [zip_derived_cl548, zip_derived_cl51])).
% 0.56/0.81
% 0.56/0.81 % SZS output end Refutation
% 0.56/0.81
% 0.56/0.81
% 0.56/0.81 % Terminating...
% 0.56/0.85 % Runner terminated.
% 1.67/0.86 % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------