%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : SET005-1 : TPTP v9.2.0. Released v1.0.0.
% Transfm : none
% Format : tptp:raw
% Command : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.AG7oIb69ZR true
% Computer : n007.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 04:51:04 PM UTC 2025
% Result : Unsatisfiable 0.55s 0.75s
% Output : Refutation 0.55s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.10/0.11 % Problem : SET005-1 : TPTP v9.2.0. Released v1.0.0.
% 0.10/0.12 % Command : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.AG7oIb69ZR true
% 0.12/0.33 % Computer : n007.cluster.edu
% 0.12/0.33 % Model : x86_64 x86_64
% 0.12/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33 % Memory : 8042.1875MB
% 0.12/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33 % CPULimit : 300
% 0.12/0.33 % WCLimit : 300
% 0.12/0.33 % DateTime : Wed Oct 1 13:17:08 EDT 2025
% 0.12/0.33 % CPUTime :
% 0.12/0.33 % Running portfolio for 300 s
% 0.12/0.33 % File : /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.12/0.33 % Number of cores: 8
% 0.12/0.34 % Python version: Python 3.6.8
% 0.12/0.34 % Running in FO mode
% 0.55/0.63 % Total configuration time : 435
% 0.55/0.63 % Estimated wc time : 1092
% 0.55/0.63 % Estimated cpu time (7 cpus) : 156.0
% 0.55/0.69 % /export/starexec/sandbox/solver/bin/fo/fo6_bce.sh running for 75s
% 0.55/0.70 % /export/starexec/sandbox/solver/bin/fo/fo3_bce.sh running for 75s
% 0.55/0.75 % /export/starexec/sandbox/solver/bin/fo/fo1_av.sh running for 75s
% 0.55/0.75 % /export/starexec/sandbox/solver/bin/fo/fo7.sh running for 63s
% 0.55/0.75 % /export/starexec/sandbox/solver/bin/fo/fo5.sh running for 50s
% 0.55/0.75 % /export/starexec/sandbox/solver/bin/fo/fo13.sh running for 50s
% 0.55/0.75 % /export/starexec/sandbox/solver/bin/fo/fo4.sh running for 50s
% 0.55/0.75 % Solved by fo/fo3_bce.sh.
% 0.55/0.75 % BCE start: 16
% 0.55/0.75 % BCE eliminated: 0
% 0.55/0.75 % PE start: 16
% 0.55/0.75 logic: neq
% 0.55/0.75 % PE eliminated: -7
% 0.55/0.75 % done 37 iterations in 0.033s
% 0.55/0.75 % SZS status Theorem for '/export/starexec/sandbox/benchmark/theBenchmark.p'
% 0.55/0.75 % SZS output start Refutation
% 0.55/0.75 thf(intersection_type, type, intersection: $i > $i > $i > $o).
% 0.55/0.75 thf(aIb_type, type, aIb: $i).
% 0.55/0.75 thf(aIbIc_type, type, aIbIc: $i).
% 0.55/0.75 thf(bIc_type, type, bIc: $i).
% 0.55/0.75 thf(c_type, type, c: $i).
% 0.55/0.75 thf(b_type, type, b: $i).
% 0.55/0.75 thf(member_type, type, member: $i > $i > $o).
% 0.55/0.75 thf(a_type, type, a: $i).
% 0.55/0.75 thf(h_type, type, h: $i > $i > $i > $i).
% 0.55/0.75 thf(a_intersection_b, axiom, (intersection @ a @ b @ aIb)).
% 0.55/0.75 thf(zip_derived_cl12, plain, ( (intersection @ a @ b @ aIb)),
% 0.55/0.75 inference('cnf', [status(esa)], [a_intersection_b])).
% 0.55/0.75 thf(member_of_both_is_member_of_intersection, axiom,
% 0.55/0.75 (( ~( intersection @ Set1 @ Set2 @ Intersection ) ) |
% 0.55/0.75 ( ~( member @ Element @ Set2 ) ) | ( ~( member @ Element @ Set1 ) ) |
% 0.55/0.75 ( member @ Element @ Intersection ))).
% 0.55/0.75 thf(zip_derived_cl8, plain,
% 0.55/0.75 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 0.55/0.75 (~ (intersection @ X0 @ X1 @ X2)
% 0.55/0.75 | ~ (member @ X3 @ X1)
% 0.55/0.75 | ~ (member @ X3 @ X0)
% 0.55/0.75 | (member @ X3 @ X2))),
% 0.55/0.75 inference('cnf', [status(esa)],
% 0.55/0.75 [member_of_both_is_member_of_intersection])).
% 0.55/0.75 thf(zip_derived_cl34, plain,
% 0.55/0.75 (![X0 : $i]:
% 0.55/0.75 ( (member @ X0 @ aIb) | ~ (member @ X0 @ a) | ~ (member @ X0 @ b))),
% 0.55/0.75 inference('dp-resolution', [status(thm)],
% 0.55/0.75 [zip_derived_cl12, zip_derived_cl8])).
% 0.55/0.75 thf(intersection_axiom3, axiom,
% 0.55/0.75 (( ~( member @ ( h @ Set1 @ Set2 @ Intersection ) @ Intersection ) ) |
% 0.55/0.75 ( ~( member @ ( h @ Set1 @ Set2 @ Intersection ) @ Set2 ) ) |
% 0.55/0.75 ( ~( member @ ( h @ Set1 @ Set2 @ Intersection ) @ Set1 ) ) |
% 0.55/0.75 ( intersection @ Set1 @ Set2 @ Intersection ))).
% 0.55/0.75 thf(zip_derived_cl11, plain,
% 0.55/0.75 (![X0 : $i, X1 : $i, X2 : $i]:
% 0.55/0.75 (~ (member @ (h @ X0 @ X1 @ X2) @ X2)
% 0.55/0.75 | ~ (member @ (h @ X0 @ X1 @ X2) @ X1)
% 0.55/0.75 | ~ (member @ (h @ X0 @ X1 @ X2) @ X0)
% 0.55/0.75 | (intersection @ X0 @ X1 @ X2))),
% 0.55/0.75 inference('cnf', [status(esa)], [intersection_axiom3])).
% 0.55/0.75 thf(prove_aIb_intersection_c_is_aIbIc, conjecture,
% 0.55/0.75 (intersection @ aIb @ c @ aIbIc)).
% 0.55/0.75 thf(zf_stmt_0, negated_conjecture, (~( intersection @ aIb @ c @ aIbIc )),
% 0.55/0.75 inference('cnf.neg', [status(esa)], [prove_aIb_intersection_c_is_aIbIc])).
% 0.55/0.75 thf(zip_derived_cl15, plain, (~ (intersection @ aIb @ c @ aIbIc)),
% 0.55/0.75 inference('cnf', [status(esa)], [zf_stmt_0])).
% 0.55/0.75 thf(zip_derived_cl31, plain,
% 0.55/0.75 ((~ (member @ (h @ aIb @ c @ aIbIc) @ aIb)
% 0.55/0.75 | ~ (member @ (h @ aIb @ c @ aIbIc) @ c)
% 0.55/0.75 | ~ (member @ (h @ aIb @ c @ aIbIc) @ aIbIc))),
% 0.55/0.75 inference('dp-resolution', [status(thm)],
% 0.55/0.75 [zip_derived_cl11, zip_derived_cl15])).
% 0.55/0.75 thf(a_intersection_bIc, axiom, (intersection @ a @ bIc @ aIbIc)).
% 0.55/0.75 thf(zip_derived_cl14, plain, ( (intersection @ a @ bIc @ aIbIc)),
% 0.55/0.75 inference('cnf', [status(esa)], [a_intersection_bIc])).
% 0.55/0.75 thf(zip_derived_cl8, plain,
% 0.55/0.75 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 0.55/0.75 (~ (intersection @ X0 @ X1 @ X2)
% 0.55/0.75 | ~ (member @ X3 @ X1)
% 0.55/0.75 | ~ (member @ X3 @ X0)
% 0.55/0.75 | (member @ X3 @ X2))),
% 0.55/0.75 inference('cnf', [status(esa)],
% 0.55/0.75 [member_of_both_is_member_of_intersection])).
% 0.55/0.75 thf(zip_derived_cl40, plain,
% 0.55/0.75 (![X0 : $i]:
% 0.55/0.75 ( (member @ X0 @ aIbIc) | ~ (member @ X0 @ a) | ~ (member @ X0 @ bIc))),
% 0.55/0.75 inference('dp-resolution', [status(thm)],
% 0.55/0.75 [zip_derived_cl14, zip_derived_cl8])).
% 0.55/0.75 thf(zip_derived_cl68, plain,
% 0.55/0.75 ((~ (member @ (h @ aIb @ c @ aIbIc) @ c)
% 0.55/0.75 | ~ (member @ (h @ aIb @ c @ aIbIc) @ aIb)
% 0.55/0.75 | ~ (member @ (h @ aIb @ c @ aIbIc) @ bIc)
% 0.55/0.75 | ~ (member @ (h @ aIb @ c @ aIbIc) @ a))),
% 0.55/0.75 inference('sup+', [status(thm)], [zip_derived_cl31, zip_derived_cl40])).
% 0.55/0.75 thf(intersection_axiom1, axiom,
% 0.55/0.75 (( member @ ( h @ Set1 @ Set2 @ Intersection ) @ Intersection ) |
% 0.55/0.75 ( intersection @ Set1 @ Set2 @ Intersection ) |
% 0.55/0.75 ( member @ ( h @ Set1 @ Set2 @ Intersection ) @ Set1 ))).
% 0.55/0.75 thf(zip_derived_cl9, plain,
% 0.55/0.75 (![X0 : $i, X1 : $i, X2 : $i]:
% 0.55/0.75 ( (member @ (h @ X0 @ X1 @ X2) @ X2)
% 0.55/0.75 | (intersection @ X0 @ X1 @ X2)
% 0.55/0.75 | (member @ (h @ X0 @ X1 @ X2) @ X0))),
% 0.55/0.75 inference('cnf', [status(esa)], [intersection_axiom1])).
% 0.55/0.75 thf(zip_derived_cl15, plain, (~ (intersection @ aIb @ c @ aIbIc)),
% 0.55/0.75 inference('cnf', [status(esa)], [zf_stmt_0])).
% 0.55/0.75 thf(zip_derived_cl23, plain,
% 0.55/0.75 (( (member @ (h @ aIb @ c @ aIbIc) @ aIb)
% 0.55/0.75 | (member @ (h @ aIb @ c @ aIbIc) @ aIbIc))),
% 0.55/0.75 inference('dp-resolution', [status(thm)],
% 0.55/0.75 [zip_derived_cl9, zip_derived_cl15])).
% 0.55/0.75 thf(zip_derived_cl14, plain, ( (intersection @ a @ bIc @ aIbIc)),
% 0.55/0.75 inference('cnf', [status(esa)], [a_intersection_bIc])).
% 0.55/0.75 thf(member_of_intersection_is_member_of_set1, axiom,
% 0.55/0.75 (( ~( intersection @ Set1 @ Set2 @ Intersection ) ) |
% 0.55/0.75 ( ~( member @ Element @ Intersection ) ) | ( member @ Element @ Set1 ))).
% 0.55/0.75 thf(zip_derived_cl6, plain,
% 0.55/0.75 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 0.55/0.75 (~ (intersection @ X0 @ X1 @ X2)
% 0.55/0.75 | ~ (member @ X3 @ X2)
% 0.55/0.75 | (member @ X3 @ X0))),
% 0.55/0.75 inference('cnf', [status(esa)],
% 0.55/0.75 [member_of_intersection_is_member_of_set1])).
% 0.55/0.76 thf(zip_derived_cl38, plain,
% 0.55/0.76 (![X0 : $i]: ( (member @ X0 @ a) | ~ (member @ X0 @ aIbIc))),
% 0.55/0.76 inference('dp-resolution', [status(thm)],
% 0.55/0.76 [zip_derived_cl14, zip_derived_cl6])).
% 0.55/0.76 thf(zip_derived_cl64, plain,
% 0.55/0.76 (( (member @ (h @ aIb @ c @ aIbIc) @ aIb)
% 0.55/0.76 | (member @ (h @ aIb @ c @ aIbIc) @ a))),
% 0.55/0.76 inference('sup-', [status(thm)], [zip_derived_cl23, zip_derived_cl38])).
% 0.55/0.76 thf(zip_derived_cl12, plain, ( (intersection @ a @ b @ aIb)),
% 0.55/0.76 inference('cnf', [status(esa)], [a_intersection_b])).
% 0.55/0.76 thf(zip_derived_cl6, plain,
% 0.55/0.76 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 0.55/0.76 (~ (intersection @ X0 @ X1 @ X2)
% 0.55/0.76 | ~ (member @ X3 @ X2)
% 0.55/0.76 | (member @ X3 @ X0))),
% 0.55/0.76 inference('cnf', [status(esa)],
% 0.55/0.76 [member_of_intersection_is_member_of_set1])).
% 0.55/0.76 thf(zip_derived_cl32, plain,
% 0.55/0.76 (![X0 : $i]: ( (member @ X0 @ a) | ~ (member @ X0 @ aIb))),
% 0.55/0.76 inference('dp-resolution', [status(thm)],
% 0.55/0.76 [zip_derived_cl12, zip_derived_cl6])).
% 0.55/0.76 thf(zip_derived_cl79, plain, ( (member @ (h @ aIb @ c @ aIbIc) @ a)),
% 0.55/0.76 inference('clc', [status(thm)], [zip_derived_cl64, zip_derived_cl32])).
% 0.55/0.76 thf(zip_derived_cl125, plain,
% 0.55/0.76 ((~ (member @ (h @ aIb @ c @ aIbIc) @ c)
% 0.55/0.76 | ~ (member @ (h @ aIb @ c @ aIbIc) @ aIb)
% 0.55/0.76 | ~ (member @ (h @ aIb @ c @ aIbIc) @ bIc))),
% 0.55/0.76 inference('demod', [status(thm)], [zip_derived_cl68, zip_derived_cl79])).
% 0.55/0.76 thf(b_intersection_c, axiom, (intersection @ b @ c @ bIc)).
% 0.55/0.76 thf(zip_derived_cl13, plain, ( (intersection @ b @ c @ bIc)),
% 0.55/0.76 inference('cnf', [status(esa)], [b_intersection_c])).
% 0.55/0.76 thf(member_of_intersection_is_member_of_set2, axiom,
% 0.55/0.76 (( ~( intersection @ Set1 @ Set2 @ Intersection ) ) |
% 0.55/0.76 ( ~( member @ Element @ Intersection ) ) | ( member @ Element @ Set2 ))).
% 0.55/0.76 thf(zip_derived_cl7, plain,
% 0.55/0.76 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 0.55/0.76 (~ (intersection @ X0 @ X1 @ X2)
% 0.55/0.76 | ~ (member @ X3 @ X2)
% 0.55/0.76 | (member @ X3 @ X1))),
% 0.55/0.76 inference('cnf', [status(esa)],
% 0.55/0.76 [member_of_intersection_is_member_of_set2])).
% 0.55/0.76 thf(zip_derived_cl36, plain,
% 0.55/0.76 (![X0 : $i]: ( (member @ X0 @ c) | ~ (member @ X0 @ bIc))),
% 0.55/0.76 inference('dp-resolution', [status(thm)],
% 0.55/0.76 [zip_derived_cl13, zip_derived_cl7])).
% 0.55/0.76 thf(zip_derived_cl126, plain,
% 0.55/0.76 ((~ (member @ (h @ aIb @ c @ aIbIc) @ bIc)
% 0.55/0.76 | ~ (member @ (h @ aIb @ c @ aIbIc) @ aIb))),
% 0.55/0.76 inference('clc', [status(thm)], [zip_derived_cl125, zip_derived_cl36])).
% 0.55/0.76 thf(zip_derived_cl13, plain, ( (intersection @ b @ c @ bIc)),
% 0.55/0.76 inference('cnf', [status(esa)], [b_intersection_c])).
% 0.55/0.76 thf(zip_derived_cl8, plain,
% 0.55/0.76 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 0.55/0.76 (~ (intersection @ X0 @ X1 @ X2)
% 0.55/0.76 | ~ (member @ X3 @ X1)
% 0.55/0.76 | ~ (member @ X3 @ X0)
% 0.55/0.76 | (member @ X3 @ X2))),
% 0.55/0.76 inference('cnf', [status(esa)],
% 0.55/0.76 [member_of_both_is_member_of_intersection])).
% 0.55/0.76 thf(zip_derived_cl37, plain,
% 0.55/0.76 (![X0 : $i]:
% 0.55/0.76 ( (member @ X0 @ bIc) | ~ (member @ X0 @ b) | ~ (member @ X0 @ c))),
% 0.55/0.76 inference('dp-resolution', [status(thm)],
% 0.55/0.76 [zip_derived_cl13, zip_derived_cl8])).
% 0.55/0.76 thf(zip_derived_cl127, plain,
% 0.55/0.76 ((~ (member @ (h @ aIb @ c @ aIbIc) @ aIb)
% 0.55/0.76 | ~ (member @ (h @ aIb @ c @ aIbIc) @ c)
% 0.55/0.76 | ~ (member @ (h @ aIb @ c @ aIbIc) @ b))),
% 0.55/0.76 inference('sup+', [status(thm)], [zip_derived_cl126, zip_derived_cl37])).
% 0.55/0.76 thf(zip_derived_cl12, plain, ( (intersection @ a @ b @ aIb)),
% 0.55/0.76 inference('cnf', [status(esa)], [a_intersection_b])).
% 0.55/0.76 thf(zip_derived_cl7, plain,
% 0.55/0.76 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 0.55/0.76 (~ (intersection @ X0 @ X1 @ X2)
% 0.55/0.76 | ~ (member @ X3 @ X2)
% 0.55/0.76 | (member @ X3 @ X1))),
% 0.55/0.76 inference('cnf', [status(esa)],
% 0.55/0.76 [member_of_intersection_is_member_of_set2])).
% 0.55/0.76 thf(zip_derived_cl33, plain,
% 0.55/0.76 (![X0 : $i]: ( (member @ X0 @ b) | ~ (member @ X0 @ aIb))),
% 0.55/0.76 inference('dp-resolution', [status(thm)],
% 0.55/0.76 [zip_derived_cl12, zip_derived_cl7])).
% 0.55/0.76 thf(zip_derived_cl130, plain,
% 0.55/0.76 ((~ (member @ (h @ aIb @ c @ aIbIc) @ c)
% 0.55/0.76 | ~ (member @ (h @ aIb @ c @ aIbIc) @ aIb))),
% 0.55/0.76 inference('clc', [status(thm)], [zip_derived_cl127, zip_derived_cl33])).
% 0.55/0.76 thf(intersection_axiom2, axiom,
% 0.55/0.76 (( member @ ( h @ Set1 @ Set2 @ Intersection ) @ Intersection ) |
% 0.55/0.76 ( intersection @ Set1 @ Set2 @ Intersection ) |
% 0.55/0.76 ( member @ ( h @ Set1 @ Set2 @ Intersection ) @ Set2 ))).
% 0.55/0.76 thf(zip_derived_cl10, plain,
% 0.55/0.76 (![X0 : $i, X1 : $i, X2 : $i]:
% 0.55/0.76 ( (member @ (h @ X0 @ X1 @ X2) @ X2)
% 0.55/0.76 | (intersection @ X0 @ X1 @ X2)
% 0.55/0.76 | (member @ (h @ X0 @ X1 @ X2) @ X1))),
% 0.55/0.76 inference('cnf', [status(esa)], [intersection_axiom2])).
% 0.55/0.76 thf(zip_derived_cl15, plain, (~ (intersection @ aIb @ c @ aIbIc)),
% 0.55/0.76 inference('cnf', [status(esa)], [zf_stmt_0])).
% 0.55/0.76 thf(zip_derived_cl27, plain,
% 0.55/0.76 (( (member @ (h @ aIb @ c @ aIbIc) @ c)
% 0.55/0.76 | (member @ (h @ aIb @ c @ aIbIc) @ aIbIc))),
% 0.55/0.76 inference('dp-resolution', [status(thm)],
% 0.55/0.76 [zip_derived_cl10, zip_derived_cl15])).
% 0.55/0.76 thf(zip_derived_cl14, plain, ( (intersection @ a @ bIc @ aIbIc)),
% 0.55/0.76 inference('cnf', [status(esa)], [a_intersection_bIc])).
% 0.55/0.76 thf(zip_derived_cl7, plain,
% 0.55/0.76 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 0.55/0.76 (~ (intersection @ X0 @ X1 @ X2)
% 0.55/0.76 | ~ (member @ X3 @ X2)
% 0.55/0.76 | (member @ X3 @ X1))),
% 0.55/0.76 inference('cnf', [status(esa)],
% 0.55/0.76 [member_of_intersection_is_member_of_set2])).
% 0.55/0.76 thf(zip_derived_cl39, plain,
% 0.55/0.76 (![X0 : $i]: ( (member @ X0 @ bIc) | ~ (member @ X0 @ aIbIc))),
% 0.55/0.76 inference('dp-resolution', [status(thm)],
% 0.55/0.76 [zip_derived_cl14, zip_derived_cl7])).
% 0.55/0.76 thf(zip_derived_cl74, plain,
% 0.55/0.76 (( (member @ (h @ aIb @ c @ aIbIc) @ c)
% 0.55/0.76 | (member @ (h @ aIb @ c @ aIbIc) @ bIc))),
% 0.55/0.76 inference('sup-', [status(thm)], [zip_derived_cl27, zip_derived_cl39])).
% 0.55/0.76 thf(zip_derived_cl36, plain,
% 0.55/0.76 (![X0 : $i]: ( (member @ X0 @ c) | ~ (member @ X0 @ bIc))),
% 0.55/0.76 inference('dp-resolution', [status(thm)],
% 0.55/0.76 [zip_derived_cl13, zip_derived_cl7])).
% 0.55/0.76 thf(zip_derived_cl220, plain, ( (member @ (h @ aIb @ c @ aIbIc) @ c)),
% 0.55/0.76 inference('clc', [status(thm)], [zip_derived_cl74, zip_derived_cl36])).
% 0.55/0.76 thf(zip_derived_cl221, plain, (~ (member @ (h @ aIb @ c @ aIbIc) @ aIb)),
% 0.55/0.76 inference('demod', [status(thm)], [zip_derived_cl130, zip_derived_cl220])).
% 0.55/0.76 thf(zip_derived_cl232, plain,
% 0.55/0.76 ((~ (member @ (h @ aIb @ c @ aIbIc) @ b)
% 0.55/0.76 | ~ (member @ (h @ aIb @ c @ aIbIc) @ a))),
% 0.55/0.76 inference('sup-', [status(thm)], [zip_derived_cl34, zip_derived_cl221])).
% 0.55/0.76 thf(zip_derived_cl23, plain,
% 0.55/0.76 (( (member @ (h @ aIb @ c @ aIbIc) @ aIb)
% 0.55/0.76 | (member @ (h @ aIb @ c @ aIbIc) @ aIbIc))),
% 0.55/0.76 inference('dp-resolution', [status(thm)],
% 0.55/0.76 [zip_derived_cl9, zip_derived_cl15])).
% 0.55/0.76 thf(zip_derived_cl39, plain,
% 0.55/0.76 (![X0 : $i]: ( (member @ X0 @ bIc) | ~ (member @ X0 @ aIbIc))),
% 0.55/0.76 inference('dp-resolution', [status(thm)],
% 0.55/0.76 [zip_derived_cl14, zip_derived_cl7])).
% 0.55/0.76 thf(zip_derived_cl65, plain,
% 0.55/0.76 (( (member @ (h @ aIb @ c @ aIbIc) @ aIb)
% 0.55/0.76 | (member @ (h @ aIb @ c @ aIbIc) @ bIc))),
% 0.55/0.76 inference('sup-', [status(thm)], [zip_derived_cl23, zip_derived_cl39])).
% 0.55/0.76 thf(zip_derived_cl13, plain, ( (intersection @ b @ c @ bIc)),
% 0.55/0.76 inference('cnf', [status(esa)], [b_intersection_c])).
% 0.55/0.76 thf(zip_derived_cl6, plain,
% 0.55/0.76 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 0.55/0.76 (~ (intersection @ X0 @ X1 @ X2)
% 0.55/0.76 | ~ (member @ X3 @ X2)
% 0.55/0.76 | (member @ X3 @ X0))),
% 0.55/0.76 inference('cnf', [status(esa)],
% 0.55/0.76 [member_of_intersection_is_member_of_set1])).
% 0.55/0.76 thf(zip_derived_cl35, plain,
% 0.55/0.76 (![X0 : $i]: ( (member @ X0 @ b) | ~ (member @ X0 @ bIc))),
% 0.55/0.76 inference('dp-resolution', [status(thm)],
% 0.55/0.76 [zip_derived_cl13, zip_derived_cl6])).
% 0.55/0.76 thf(zip_derived_cl134, plain,
% 0.55/0.76 (( (member @ (h @ aIb @ c @ aIbIc) @ aIb)
% 0.55/0.76 | (member @ (h @ aIb @ c @ aIbIc) @ b))),
% 0.55/0.76 inference('sup-', [status(thm)], [zip_derived_cl65, zip_derived_cl35])).
% 0.55/0.76 thf(zip_derived_cl33, plain,
% 0.55/0.76 (![X0 : $i]: ( (member @ X0 @ b) | ~ (member @ X0 @ aIb))),
% 0.55/0.76 inference('dp-resolution', [status(thm)],
% 0.55/0.76 [zip_derived_cl12, zip_derived_cl7])).
% 0.55/0.76 thf(zip_derived_cl211, plain, ( (member @ (h @ aIb @ c @ aIbIc) @ b)),
% 0.55/0.76 inference('clc', [status(thm)], [zip_derived_cl134, zip_derived_cl33])).
% 0.55/0.76 thf(zip_derived_cl79, plain, ( (member @ (h @ aIb @ c @ aIbIc) @ a)),
% 0.55/0.76 inference('clc', [status(thm)], [zip_derived_cl64, zip_derived_cl32])).
% 0.55/0.76 thf(zip_derived_cl233, plain, ($false),
% 0.55/0.76 inference('demod', [status(thm)],
% 0.55/0.76 [zip_derived_cl232, zip_derived_cl211, zip_derived_cl79])).
% 0.55/0.76
% 0.55/0.76 % SZS output end Refutation
% 0.55/0.76
% 0.55/0.76
% 0.55/0.76 % Terminating...
% 0.59/0.84 % Runner terminated.
% 0.59/0.85 % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------