TSTP Solution File: SET005-1 by Zipperpin---2.1.9999

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Zipperpin---2.1.9999
% Problem  : SET005-1 : 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.N1cZPfYuKy true

% Computer : n006.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 16:11:35 EDT 2023

% Result   : Unsatisfiable 1.37s 0.80s
% Output   : Refutation 1.37s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.13  % Problem  : SET005-1 : TPTP v8.1.2. Released v1.0.0.
% 0.00/0.14  % Command  : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.N1cZPfYuKy true
% 0.14/0.35  % Computer : n006.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 : Sat Aug 26 12:12:37 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
% 0.21/0.35  % Python version: Python 3.6.8
% 0.21/0.36  % Running in FO mode
% 0.21/0.67  % Total configuration time : 435
% 0.21/0.67  % Estimated wc time : 1092
% 0.21/0.67  % Estimated cpu time (7 cpus) : 156.0
% 0.21/0.71  % /export/starexec/sandbox2/solver/bin/fo/fo6_bce.sh running for 75s
% 0.81/0.75  % /export/starexec/sandbox2/solver/bin/fo/fo3_bce.sh running for 75s
% 0.81/0.76  % /export/starexec/sandbox2/solver/bin/fo/fo1_av.sh running for 75s
% 0.81/0.76  % /export/starexec/sandbox2/solver/bin/fo/fo7.sh running for 63s
% 0.81/0.77  % /export/starexec/sandbox2/solver/bin/fo/fo13.sh running for 50s
% 0.81/0.77  % /export/starexec/sandbox2/solver/bin/fo/fo5.sh running for 50s
% 0.81/0.77  % /export/starexec/sandbox2/solver/bin/fo/fo4.sh running for 50s
% 1.37/0.80  % Solved by fo/fo3_bce.sh.
% 1.37/0.80  % BCE start: 16
% 1.37/0.80  % BCE eliminated: 0
% 1.37/0.80  % PE start: 16
% 1.37/0.80  logic: neq
% 1.37/0.80  % PE eliminated: -7
% 1.37/0.80  % done 37 iterations in 0.037s
% 1.37/0.80  % SZS status Theorem for '/export/starexec/sandbox2/benchmark/theBenchmark.p'
% 1.37/0.80  % SZS output start Refutation
% 1.37/0.80  thf(intersection_type, type, intersection: $i > $i > $i > $o).
% 1.37/0.80  thf(aIb_type, type, aIb: $i).
% 1.37/0.80  thf(aIbIc_type, type, aIbIc: $i).
% 1.37/0.80  thf(bIc_type, type, bIc: $i).
% 1.37/0.80  thf(c_type, type, c: $i).
% 1.37/0.80  thf(b_type, type, b: $i).
% 1.37/0.80  thf(member_type, type, member: $i > $i > $o).
% 1.37/0.80  thf(a_type, type, a: $i).
% 1.37/0.80  thf(h_type, type, h: $i > $i > $i > $i).
% 1.37/0.80  thf(a_intersection_b, axiom, (intersection @ a @ b @ aIb)).
% 1.37/0.80  thf(zip_derived_cl12, plain, ( (intersection @ a @ b @ aIb)),
% 1.37/0.80      inference('cnf', [status(esa)], [a_intersection_b])).
% 1.37/0.80  thf(member_of_both_is_member_of_intersection, axiom,
% 1.37/0.80    (( ~( intersection @ Set1 @ Set2 @ Intersection ) ) | 
% 1.37/0.80     ( ~( member @ Element @ Set2 ) ) | ( ~( member @ Element @ Set1 ) ) | 
% 1.37/0.80     ( member @ Element @ Intersection ))).
% 1.37/0.80  thf(zip_derived_cl8, plain,
% 1.37/0.80      (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 1.37/0.80         (~ (intersection @ X0 @ X1 @ X2)
% 1.37/0.80          | ~ (member @ X3 @ X1)
% 1.37/0.80          | ~ (member @ X3 @ X0)
% 1.37/0.80          |  (member @ X3 @ X2))),
% 1.37/0.80      inference('cnf', [status(esa)],
% 1.37/0.80                [member_of_both_is_member_of_intersection])).
% 1.37/0.80  thf(zip_derived_cl34, plain,
% 1.37/0.80      (![X0 : $i]:
% 1.37/0.80         ( (member @ X0 @ aIb) | ~ (member @ X0 @ a) | ~ (member @ X0 @ b))),
% 1.37/0.80      inference('dp-resolution', [status(thm)],
% 1.37/0.80                [zip_derived_cl12, zip_derived_cl8])).
% 1.37/0.80  thf(intersection_axiom3, axiom,
% 1.37/0.80    (( ~( member @ ( h @ Set1 @ Set2 @ Intersection ) @ Intersection ) ) | 
% 1.37/0.80     ( ~( member @ ( h @ Set1 @ Set2 @ Intersection ) @ Set2 ) ) | 
% 1.37/0.80     ( ~( member @ ( h @ Set1 @ Set2 @ Intersection ) @ Set1 ) ) | 
% 1.37/0.80     ( intersection @ Set1 @ Set2 @ Intersection ))).
% 1.37/0.80  thf(zip_derived_cl11, plain,
% 1.37/0.80      (![X0 : $i, X1 : $i, X2 : $i]:
% 1.37/0.80         (~ (member @ (h @ X0 @ X1 @ X2) @ X2)
% 1.37/0.80          | ~ (member @ (h @ X0 @ X1 @ X2) @ X1)
% 1.37/0.80          | ~ (member @ (h @ X0 @ X1 @ X2) @ X0)
% 1.37/0.80          |  (intersection @ X0 @ X1 @ X2))),
% 1.37/0.80      inference('cnf', [status(esa)], [intersection_axiom3])).
% 1.37/0.80  thf(prove_aIb_intersection_c_is_aIbIc, conjecture,
% 1.37/0.80    (intersection @ aIb @ c @ aIbIc)).
% 1.37/0.80  thf(zf_stmt_0, negated_conjecture, (~( intersection @ aIb @ c @ aIbIc )),
% 1.37/0.80    inference('cnf.neg', [status(esa)], [prove_aIb_intersection_c_is_aIbIc])).
% 1.37/0.80  thf(zip_derived_cl15, plain, (~ (intersection @ aIb @ c @ aIbIc)),
% 1.37/0.80      inference('cnf', [status(esa)], [zf_stmt_0])).
% 1.37/0.80  thf(zip_derived_cl31, plain,
% 1.37/0.80      ((~ (member @ (h @ aIb @ c @ aIbIc) @ aIb)
% 1.37/0.80        | ~ (member @ (h @ aIb @ c @ aIbIc) @ c)
% 1.37/0.80        | ~ (member @ (h @ aIb @ c @ aIbIc) @ aIbIc))),
% 1.37/0.80      inference('dp-resolution', [status(thm)],
% 1.37/0.80                [zip_derived_cl11, zip_derived_cl15])).
% 1.37/0.80  thf(a_intersection_bIc, axiom, (intersection @ a @ bIc @ aIbIc)).
% 1.37/0.80  thf(zip_derived_cl14, plain, ( (intersection @ a @ bIc @ aIbIc)),
% 1.37/0.80      inference('cnf', [status(esa)], [a_intersection_bIc])).
% 1.37/0.80  thf(zip_derived_cl8, plain,
% 1.37/0.80      (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 1.37/0.80         (~ (intersection @ X0 @ X1 @ X2)
% 1.37/0.80          | ~ (member @ X3 @ X1)
% 1.37/0.80          | ~ (member @ X3 @ X0)
% 1.37/0.80          |  (member @ X3 @ X2))),
% 1.37/0.80      inference('cnf', [status(esa)],
% 1.37/0.80                [member_of_both_is_member_of_intersection])).
% 1.37/0.80  thf(zip_derived_cl40, plain,
% 1.37/0.80      (![X0 : $i]:
% 1.37/0.80         ( (member @ X0 @ aIbIc) | ~ (member @ X0 @ a) | ~ (member @ X0 @ bIc))),
% 1.37/0.80      inference('dp-resolution', [status(thm)],
% 1.37/0.80                [zip_derived_cl14, zip_derived_cl8])).
% 1.37/0.80  thf(zip_derived_cl68, plain,
% 1.37/0.80      ((~ (member @ (h @ aIb @ c @ aIbIc) @ c)
% 1.37/0.80        | ~ (member @ (h @ aIb @ c @ aIbIc) @ aIb)
% 1.37/0.80        | ~ (member @ (h @ aIb @ c @ aIbIc) @ bIc)
% 1.37/0.80        | ~ (member @ (h @ aIb @ c @ aIbIc) @ a))),
% 1.37/0.80      inference('sup+', [status(thm)], [zip_derived_cl31, zip_derived_cl40])).
% 1.37/0.80  thf(intersection_axiom1, axiom,
% 1.37/0.80    (( member @ ( h @ Set1 @ Set2 @ Intersection ) @ Intersection ) | 
% 1.37/0.80     ( intersection @ Set1 @ Set2 @ Intersection ) | 
% 1.37/0.80     ( member @ ( h @ Set1 @ Set2 @ Intersection ) @ Set1 ))).
% 1.37/0.80  thf(zip_derived_cl9, plain,
% 1.37/0.80      (![X0 : $i, X1 : $i, X2 : $i]:
% 1.37/0.80         ( (member @ (h @ X0 @ X1 @ X2) @ X2)
% 1.37/0.80          |  (intersection @ X0 @ X1 @ X2)
% 1.37/0.80          |  (member @ (h @ X0 @ X1 @ X2) @ X0))),
% 1.37/0.80      inference('cnf', [status(esa)], [intersection_axiom1])).
% 1.37/0.80  thf(zip_derived_cl15, plain, (~ (intersection @ aIb @ c @ aIbIc)),
% 1.37/0.80      inference('cnf', [status(esa)], [zf_stmt_0])).
% 1.37/0.80  thf(zip_derived_cl23, plain,
% 1.37/0.80      (( (member @ (h @ aIb @ c @ aIbIc) @ aIb)
% 1.37/0.80        |  (member @ (h @ aIb @ c @ aIbIc) @ aIbIc))),
% 1.37/0.80      inference('dp-resolution', [status(thm)],
% 1.37/0.80                [zip_derived_cl9, zip_derived_cl15])).
% 1.37/0.80  thf(zip_derived_cl14, plain, ( (intersection @ a @ bIc @ aIbIc)),
% 1.37/0.80      inference('cnf', [status(esa)], [a_intersection_bIc])).
% 1.37/0.80  thf(member_of_intersection_is_member_of_set1, axiom,
% 1.37/0.80    (( ~( intersection @ Set1 @ Set2 @ Intersection ) ) | 
% 1.37/0.80     ( ~( member @ Element @ Intersection ) ) | ( member @ Element @ Set1 ))).
% 1.37/0.80  thf(zip_derived_cl6, plain,
% 1.37/0.80      (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 1.37/0.80         (~ (intersection @ X0 @ X1 @ X2)
% 1.37/0.80          | ~ (member @ X3 @ X2)
% 1.37/0.80          |  (member @ X3 @ X0))),
% 1.37/0.80      inference('cnf', [status(esa)],
% 1.37/0.80                [member_of_intersection_is_member_of_set1])).
% 1.37/0.80  thf(zip_derived_cl38, plain,
% 1.37/0.80      (![X0 : $i]: ( (member @ X0 @ a) | ~ (member @ X0 @ aIbIc))),
% 1.37/0.80      inference('dp-resolution', [status(thm)],
% 1.37/0.80                [zip_derived_cl14, zip_derived_cl6])).
% 1.37/0.80  thf(zip_derived_cl64, plain,
% 1.37/0.80      (( (member @ (h @ aIb @ c @ aIbIc) @ aIb)
% 1.37/0.80        |  (member @ (h @ aIb @ c @ aIbIc) @ a))),
% 1.37/0.80      inference('sup-', [status(thm)], [zip_derived_cl23, zip_derived_cl38])).
% 1.37/0.80  thf(zip_derived_cl12, plain, ( (intersection @ a @ b @ aIb)),
% 1.37/0.80      inference('cnf', [status(esa)], [a_intersection_b])).
% 1.37/0.80  thf(zip_derived_cl6, plain,
% 1.37/0.80      (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 1.37/0.80         (~ (intersection @ X0 @ X1 @ X2)
% 1.37/0.80          | ~ (member @ X3 @ X2)
% 1.37/0.80          |  (member @ X3 @ X0))),
% 1.37/0.80      inference('cnf', [status(esa)],
% 1.37/0.80                [member_of_intersection_is_member_of_set1])).
% 1.37/0.80  thf(zip_derived_cl32, plain,
% 1.37/0.80      (![X0 : $i]: ( (member @ X0 @ a) | ~ (member @ X0 @ aIb))),
% 1.37/0.80      inference('dp-resolution', [status(thm)],
% 1.37/0.80                [zip_derived_cl12, zip_derived_cl6])).
% 1.37/0.80  thf(zip_derived_cl79, plain, ( (member @ (h @ aIb @ c @ aIbIc) @ a)),
% 1.37/0.80      inference('clc', [status(thm)], [zip_derived_cl64, zip_derived_cl32])).
% 1.37/0.80  thf(zip_derived_cl125, plain,
% 1.37/0.80      ((~ (member @ (h @ aIb @ c @ aIbIc) @ c)
% 1.37/0.80        | ~ (member @ (h @ aIb @ c @ aIbIc) @ aIb)
% 1.37/0.80        | ~ (member @ (h @ aIb @ c @ aIbIc) @ bIc))),
% 1.37/0.80      inference('demod', [status(thm)], [zip_derived_cl68, zip_derived_cl79])).
% 1.37/0.80  thf(b_intersection_c, axiom, (intersection @ b @ c @ bIc)).
% 1.37/0.80  thf(zip_derived_cl13, plain, ( (intersection @ b @ c @ bIc)),
% 1.37/0.80      inference('cnf', [status(esa)], [b_intersection_c])).
% 1.37/0.80  thf(member_of_intersection_is_member_of_set2, axiom,
% 1.37/0.80    (( ~( intersection @ Set1 @ Set2 @ Intersection ) ) | 
% 1.37/0.80     ( ~( member @ Element @ Intersection ) ) | ( member @ Element @ Set2 ))).
% 1.37/0.80  thf(zip_derived_cl7, plain,
% 1.37/0.80      (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 1.37/0.80         (~ (intersection @ X0 @ X1 @ X2)
% 1.37/0.80          | ~ (member @ X3 @ X2)
% 1.37/0.80          |  (member @ X3 @ X1))),
% 1.37/0.80      inference('cnf', [status(esa)],
% 1.37/0.80                [member_of_intersection_is_member_of_set2])).
% 1.37/0.80  thf(zip_derived_cl36, plain,
% 1.37/0.80      (![X0 : $i]: ( (member @ X0 @ c) | ~ (member @ X0 @ bIc))),
% 1.37/0.80      inference('dp-resolution', [status(thm)],
% 1.37/0.80                [zip_derived_cl13, zip_derived_cl7])).
% 1.37/0.80  thf(zip_derived_cl126, plain,
% 1.37/0.80      ((~ (member @ (h @ aIb @ c @ aIbIc) @ bIc)
% 1.37/0.80        | ~ (member @ (h @ aIb @ c @ aIbIc) @ aIb))),
% 1.37/0.80      inference('clc', [status(thm)], [zip_derived_cl125, zip_derived_cl36])).
% 1.37/0.80  thf(zip_derived_cl13, plain, ( (intersection @ b @ c @ bIc)),
% 1.37/0.80      inference('cnf', [status(esa)], [b_intersection_c])).
% 1.37/0.80  thf(zip_derived_cl8, plain,
% 1.37/0.80      (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 1.37/0.80         (~ (intersection @ X0 @ X1 @ X2)
% 1.37/0.80          | ~ (member @ X3 @ X1)
% 1.37/0.80          | ~ (member @ X3 @ X0)
% 1.37/0.80          |  (member @ X3 @ X2))),
% 1.37/0.80      inference('cnf', [status(esa)],
% 1.37/0.80                [member_of_both_is_member_of_intersection])).
% 1.37/0.80  thf(zip_derived_cl37, plain,
% 1.37/0.80      (![X0 : $i]:
% 1.37/0.80         ( (member @ X0 @ bIc) | ~ (member @ X0 @ b) | ~ (member @ X0 @ c))),
% 1.37/0.80      inference('dp-resolution', [status(thm)],
% 1.37/0.80                [zip_derived_cl13, zip_derived_cl8])).
% 1.37/0.80  thf(zip_derived_cl127, plain,
% 1.37/0.80      ((~ (member @ (h @ aIb @ c @ aIbIc) @ aIb)
% 1.37/0.80        | ~ (member @ (h @ aIb @ c @ aIbIc) @ c)
% 1.37/0.80        | ~ (member @ (h @ aIb @ c @ aIbIc) @ b))),
% 1.37/0.80      inference('sup+', [status(thm)], [zip_derived_cl126, zip_derived_cl37])).
% 1.37/0.80  thf(zip_derived_cl12, plain, ( (intersection @ a @ b @ aIb)),
% 1.37/0.80      inference('cnf', [status(esa)], [a_intersection_b])).
% 1.37/0.80  thf(zip_derived_cl7, plain,
% 1.37/0.80      (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 1.37/0.80         (~ (intersection @ X0 @ X1 @ X2)
% 1.37/0.80          | ~ (member @ X3 @ X2)
% 1.37/0.80          |  (member @ X3 @ X1))),
% 1.37/0.80      inference('cnf', [status(esa)],
% 1.37/0.80                [member_of_intersection_is_member_of_set2])).
% 1.37/0.80  thf(zip_derived_cl33, plain,
% 1.37/0.80      (![X0 : $i]: ( (member @ X0 @ b) | ~ (member @ X0 @ aIb))),
% 1.37/0.80      inference('dp-resolution', [status(thm)],
% 1.37/0.80                [zip_derived_cl12, zip_derived_cl7])).
% 1.37/0.80  thf(zip_derived_cl130, plain,
% 1.37/0.80      ((~ (member @ (h @ aIb @ c @ aIbIc) @ c)
% 1.37/0.80        | ~ (member @ (h @ aIb @ c @ aIbIc) @ aIb))),
% 1.37/0.80      inference('clc', [status(thm)], [zip_derived_cl127, zip_derived_cl33])).
% 1.37/0.80  thf(intersection_axiom2, axiom,
% 1.37/0.80    (( member @ ( h @ Set1 @ Set2 @ Intersection ) @ Intersection ) | 
% 1.37/0.80     ( intersection @ Set1 @ Set2 @ Intersection ) | 
% 1.37/0.80     ( member @ ( h @ Set1 @ Set2 @ Intersection ) @ Set2 ))).
% 1.37/0.80  thf(zip_derived_cl10, plain,
% 1.37/0.80      (![X0 : $i, X1 : $i, X2 : $i]:
% 1.37/0.80         ( (member @ (h @ X0 @ X1 @ X2) @ X2)
% 1.37/0.80          |  (intersection @ X0 @ X1 @ X2)
% 1.37/0.80          |  (member @ (h @ X0 @ X1 @ X2) @ X1))),
% 1.37/0.80      inference('cnf', [status(esa)], [intersection_axiom2])).
% 1.37/0.80  thf(zip_derived_cl15, plain, (~ (intersection @ aIb @ c @ aIbIc)),
% 1.37/0.80      inference('cnf', [status(esa)], [zf_stmt_0])).
% 1.37/0.80  thf(zip_derived_cl27, plain,
% 1.37/0.80      (( (member @ (h @ aIb @ c @ aIbIc) @ c)
% 1.37/0.80        |  (member @ (h @ aIb @ c @ aIbIc) @ aIbIc))),
% 1.37/0.80      inference('dp-resolution', [status(thm)],
% 1.37/0.80                [zip_derived_cl10, zip_derived_cl15])).
% 1.37/0.80  thf(zip_derived_cl14, plain, ( (intersection @ a @ bIc @ aIbIc)),
% 1.37/0.80      inference('cnf', [status(esa)], [a_intersection_bIc])).
% 1.37/0.80  thf(zip_derived_cl7, plain,
% 1.37/0.80      (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 1.37/0.80         (~ (intersection @ X0 @ X1 @ X2)
% 1.37/0.80          | ~ (member @ X3 @ X2)
% 1.37/0.80          |  (member @ X3 @ X1))),
% 1.37/0.80      inference('cnf', [status(esa)],
% 1.37/0.80                [member_of_intersection_is_member_of_set2])).
% 1.37/0.80  thf(zip_derived_cl39, plain,
% 1.37/0.80      (![X0 : $i]: ( (member @ X0 @ bIc) | ~ (member @ X0 @ aIbIc))),
% 1.37/0.80      inference('dp-resolution', [status(thm)],
% 1.37/0.80                [zip_derived_cl14, zip_derived_cl7])).
% 1.37/0.80  thf(zip_derived_cl74, plain,
% 1.37/0.80      (( (member @ (h @ aIb @ c @ aIbIc) @ c)
% 1.37/0.80        |  (member @ (h @ aIb @ c @ aIbIc) @ bIc))),
% 1.37/0.80      inference('sup-', [status(thm)], [zip_derived_cl27, zip_derived_cl39])).
% 1.37/0.80  thf(zip_derived_cl36, plain,
% 1.37/0.80      (![X0 : $i]: ( (member @ X0 @ c) | ~ (member @ X0 @ bIc))),
% 1.37/0.80      inference('dp-resolution', [status(thm)],
% 1.37/0.80                [zip_derived_cl13, zip_derived_cl7])).
% 1.37/0.80  thf(zip_derived_cl220, plain, ( (member @ (h @ aIb @ c @ aIbIc) @ c)),
% 1.37/0.80      inference('clc', [status(thm)], [zip_derived_cl74, zip_derived_cl36])).
% 1.37/0.80  thf(zip_derived_cl221, plain, (~ (member @ (h @ aIb @ c @ aIbIc) @ aIb)),
% 1.37/0.80      inference('demod', [status(thm)], [zip_derived_cl130, zip_derived_cl220])).
% 1.37/0.80  thf(zip_derived_cl232, plain,
% 1.37/0.80      ((~ (member @ (h @ aIb @ c @ aIbIc) @ b)
% 1.37/0.80        | ~ (member @ (h @ aIb @ c @ aIbIc) @ a))),
% 1.37/0.80      inference('sup-', [status(thm)], [zip_derived_cl34, zip_derived_cl221])).
% 1.37/0.80  thf(zip_derived_cl23, plain,
% 1.37/0.80      (( (member @ (h @ aIb @ c @ aIbIc) @ aIb)
% 1.37/0.80        |  (member @ (h @ aIb @ c @ aIbIc) @ aIbIc))),
% 1.37/0.80      inference('dp-resolution', [status(thm)],
% 1.37/0.80                [zip_derived_cl9, zip_derived_cl15])).
% 1.37/0.80  thf(zip_derived_cl39, plain,
% 1.37/0.80      (![X0 : $i]: ( (member @ X0 @ bIc) | ~ (member @ X0 @ aIbIc))),
% 1.37/0.80      inference('dp-resolution', [status(thm)],
% 1.37/0.80                [zip_derived_cl14, zip_derived_cl7])).
% 1.37/0.80  thf(zip_derived_cl65, plain,
% 1.37/0.80      (( (member @ (h @ aIb @ c @ aIbIc) @ aIb)
% 1.37/0.80        |  (member @ (h @ aIb @ c @ aIbIc) @ bIc))),
% 1.37/0.80      inference('sup-', [status(thm)], [zip_derived_cl23, zip_derived_cl39])).
% 1.37/0.80  thf(zip_derived_cl13, plain, ( (intersection @ b @ c @ bIc)),
% 1.37/0.80      inference('cnf', [status(esa)], [b_intersection_c])).
% 1.37/0.80  thf(zip_derived_cl6, plain,
% 1.37/0.80      (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 1.37/0.80         (~ (intersection @ X0 @ X1 @ X2)
% 1.37/0.80          | ~ (member @ X3 @ X2)
% 1.37/0.80          |  (member @ X3 @ X0))),
% 1.37/0.80      inference('cnf', [status(esa)],
% 1.37/0.80                [member_of_intersection_is_member_of_set1])).
% 1.37/0.80  thf(zip_derived_cl35, plain,
% 1.37/0.80      (![X0 : $i]: ( (member @ X0 @ b) | ~ (member @ X0 @ bIc))),
% 1.37/0.80      inference('dp-resolution', [status(thm)],
% 1.37/0.80                [zip_derived_cl13, zip_derived_cl6])).
% 1.37/0.80  thf(zip_derived_cl134, plain,
% 1.37/0.80      (( (member @ (h @ aIb @ c @ aIbIc) @ aIb)
% 1.37/0.80        |  (member @ (h @ aIb @ c @ aIbIc) @ b))),
% 1.37/0.80      inference('sup-', [status(thm)], [zip_derived_cl65, zip_derived_cl35])).
% 1.37/0.80  thf(zip_derived_cl33, plain,
% 1.37/0.80      (![X0 : $i]: ( (member @ X0 @ b) | ~ (member @ X0 @ aIb))),
% 1.37/0.80      inference('dp-resolution', [status(thm)],
% 1.37/0.80                [zip_derived_cl12, zip_derived_cl7])).
% 1.37/0.80  thf(zip_derived_cl211, plain, ( (member @ (h @ aIb @ c @ aIbIc) @ b)),
% 1.37/0.80      inference('clc', [status(thm)], [zip_derived_cl134, zip_derived_cl33])).
% 1.37/0.80  thf(zip_derived_cl79, plain, ( (member @ (h @ aIb @ c @ aIbIc) @ a)),
% 1.37/0.80      inference('clc', [status(thm)], [zip_derived_cl64, zip_derived_cl32])).
% 1.37/0.80  thf(zip_derived_cl233, plain, ($false),
% 1.37/0.80      inference('demod', [status(thm)],
% 1.37/0.80                [zip_derived_cl232, zip_derived_cl211, zip_derived_cl79])).
% 1.37/0.80  
% 1.37/0.80  % SZS output end Refutation
% 1.37/0.80  
% 1.37/0.80  
% 1.37/0.80  % Terminating...
% 1.59/0.87  % Runner terminated.
% 1.59/0.89  % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------