TSTP Solution File: SET007-1 by Zipperpin---2.1.9999
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- Process Solution
%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : SET007-1 : 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.7EpVUO6kmc true
% Computer : n023.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 16:11:36 EDT 2023
% Result : Unsatisfiable 0.54s 0.78s
% Output : Refutation 0.54s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.12 % Problem : SET007-1 : TPTP v8.1.2. Released v1.0.0.
% 0.06/0.13 % Command : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.7EpVUO6kmc true
% 0.13/0.33 % Computer : n023.cluster.edu
% 0.13/0.33 % Model : x86_64 x86_64
% 0.13/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.33 % Memory : 8042.1875MB
% 0.13/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.33 % CPULimit : 300
% 0.13/0.33 % WCLimit : 300
% 0.13/0.33 % DateTime : Sat Aug 26 10:12:11 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
% 0.13/0.34 % Number of cores: 8
% 0.13/0.34 % Python version: Python 3.6.8
% 0.13/0.34 % Running in FO mode
% 0.53/0.63 % Total configuration time : 435
% 0.53/0.63 % Estimated wc time : 1092
% 0.53/0.63 % Estimated cpu time (7 cpus) : 156.0
% 0.53/0.68 % /export/starexec/sandbox2/solver/bin/fo/fo6_bce.sh running for 75s
% 0.53/0.71 % /export/starexec/sandbox2/solver/bin/fo/fo1_av.sh running for 75s
% 0.53/0.71 % /export/starexec/sandbox2/solver/bin/fo/fo3_bce.sh running for 75s
% 0.53/0.73 % /export/starexec/sandbox2/solver/bin/fo/fo7.sh running for 63s
% 0.53/0.73 % /export/starexec/sandbox2/solver/bin/fo/fo13.sh running for 50s
% 0.53/0.73 % /export/starexec/sandbox2/solver/bin/fo/fo5.sh running for 50s
% 0.53/0.74 % /export/starexec/sandbox2/solver/bin/fo/fo4.sh running for 50s
% 0.54/0.78 % Solved by fo/fo3_bce.sh.
% 0.54/0.78 % BCE start: 23
% 0.54/0.78 % BCE eliminated: 0
% 0.54/0.78 % PE start: 23
% 0.54/0.78 logic: neq
% 0.54/0.78 % PE eliminated: -12
% 0.54/0.78 % done 43 iterations in 0.051s
% 0.54/0.78 % SZS status Theorem for '/export/starexec/sandbox2/benchmark/theBenchmark.p'
% 0.54/0.78 % SZS output start Refutation
% 0.54/0.78 thf(aIb_type, type, aIb: $i).
% 0.54/0.78 thf(g_type, type, g: $i > $i > $i > $i).
% 0.54/0.78 thf(aIc_type, type, aIc: $i).
% 0.54/0.78 thf(union_type, type, union: $i > $i > $i > $o).
% 0.54/0.78 thf(a_type, type, a: $i).
% 0.54/0.78 thf(aI_bUc_type, type, aI_bUc: $i).
% 0.54/0.78 thf(intersection_type, type, intersection: $i > $i > $i > $o).
% 0.54/0.78 thf(c_type, type, c: $i).
% 0.54/0.78 thf(member_type, type, member: $i > $i > $o).
% 0.54/0.78 thf(bUc_type, type, bUc: $i).
% 0.54/0.78 thf(b_type, type, b: $i).
% 0.54/0.78 thf(a_intersection_bUc, axiom, (intersection @ a @ bUc @ aI_bUc)).
% 0.54/0.78 thf(zip_derived_cl21, plain, ( (intersection @ a @ bUc @ aI_bUc)),
% 0.54/0.78 inference('cnf', [status(esa)], [a_intersection_bUc])).
% 0.54/0.78 thf(member_of_both_is_member_of_intersection, axiom,
% 0.54/0.78 (( ~( intersection @ Set1 @ Set2 @ Intersection ) ) |
% 0.54/0.78 ( ~( member @ Element @ Set2 ) ) | ( ~( member @ Element @ Set1 ) ) |
% 0.54/0.78 ( member @ Element @ Intersection ))).
% 0.54/0.78 thf(zip_derived_cl14, plain,
% 0.54/0.78 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 0.54/0.78 (~ (intersection @ X0 @ X1 @ X2)
% 0.54/0.78 | ~ (member @ X3 @ X1)
% 0.54/0.78 | ~ (member @ X3 @ X0)
% 0.54/0.78 | (member @ X3 @ X2))),
% 0.54/0.78 inference('cnf', [status(esa)],
% 0.54/0.78 [member_of_both_is_member_of_intersection])).
% 0.54/0.78 thf(zip_derived_cl59, plain,
% 0.54/0.78 (![X0 : $i]:
% 0.54/0.78 ( (member @ X0 @ aI_bUc) | ~ (member @ X0 @ a) | ~ (member @ X0 @ bUc))),
% 0.54/0.78 inference('dp-resolution', [status(thm)],
% 0.54/0.78 [zip_derived_cl21, zip_derived_cl14])).
% 0.54/0.78 thf(union_axiom3, axiom,
% 0.54/0.78 (( ~( member @ ( g @ Set1 @ Set2 @ Union ) @ Set2 ) ) |
% 0.54/0.78 ( ~( member @ ( g @ Set1 @ Set2 @ Union ) @ Union ) ) |
% 0.54/0.78 ( union @ Set1 @ Set2 @ Union ))).
% 0.54/0.78 thf(zip_derived_cl11, plain,
% 0.54/0.78 (![X0 : $i, X1 : $i, X2 : $i]:
% 0.54/0.78 (~ (member @ (g @ X0 @ X1 @ X2) @ X1)
% 0.54/0.78 | ~ (member @ (g @ X0 @ X1 @ X2) @ X2)
% 0.54/0.78 | (union @ X0 @ X1 @ X2))),
% 0.54/0.78 inference('cnf', [status(esa)], [union_axiom3])).
% 0.54/0.78 thf(prove_aIb_union_aIc_is_aI_bUc, conjecture, (union @ aIb @ aIc @ aI_bUc)).
% 0.54/0.78 thf(zf_stmt_0, negated_conjecture, (~( union @ aIb @ aIc @ aI_bUc )),
% 0.54/0.78 inference('cnf.neg', [status(esa)], [prove_aIb_union_aIc_is_aI_bUc])).
% 0.54/0.78 thf(zip_derived_cl22, plain, (~ (union @ aIb @ aIc @ aI_bUc)),
% 0.54/0.78 inference('cnf', [status(esa)], [zf_stmt_0])).
% 0.54/0.78 thf(zip_derived_cl38, plain,
% 0.54/0.78 ((~ (member @ (g @ aIb @ aIc @ aI_bUc) @ aI_bUc)
% 0.54/0.78 | ~ (member @ (g @ aIb @ aIc @ aI_bUc) @ aIc))),
% 0.54/0.78 inference('dp-resolution', [status(thm)],
% 0.54/0.78 [zip_derived_cl11, zip_derived_cl22])).
% 0.54/0.78 thf(zip_derived_cl78, plain,
% 0.54/0.78 ((~ (member @ (g @ aIb @ aIc @ aI_bUc) @ bUc)
% 0.54/0.78 | ~ (member @ (g @ aIb @ aIc @ aI_bUc) @ a)
% 0.54/0.78 | ~ (member @ (g @ aIb @ aIc @ aI_bUc) @ aIc))),
% 0.54/0.78 inference('sup-', [status(thm)], [zip_derived_cl59, zip_derived_cl38])).
% 0.54/0.78 thf(a_intersection_c, axiom, (intersection @ a @ c @ aIc)).
% 0.54/0.78 thf(zip_derived_cl20, plain, ( (intersection @ a @ c @ aIc)),
% 0.54/0.78 inference('cnf', [status(esa)], [a_intersection_c])).
% 0.54/0.78 thf(member_of_intersection_is_member_of_set1, axiom,
% 0.54/0.78 (( ~( intersection @ Set1 @ Set2 @ Intersection ) ) |
% 0.54/0.78 ( ~( member @ Element @ Intersection ) ) | ( member @ Element @ Set1 ))).
% 0.54/0.78 thf(zip_derived_cl12, plain,
% 0.54/0.78 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 0.54/0.78 (~ (intersection @ X0 @ X1 @ X2)
% 0.54/0.78 | ~ (member @ X3 @ X2)
% 0.54/0.78 | (member @ X3 @ X0))),
% 0.54/0.78 inference('cnf', [status(esa)],
% 0.54/0.78 [member_of_intersection_is_member_of_set1])).
% 0.54/0.78 thf(zip_derived_cl54, plain,
% 0.54/0.78 (![X0 : $i]: ( (member @ X0 @ a) | ~ (member @ X0 @ aIc))),
% 0.54/0.78 inference('dp-resolution', [status(thm)],
% 0.54/0.78 [zip_derived_cl20, zip_derived_cl12])).
% 0.54/0.78 thf(zip_derived_cl86, plain,
% 0.54/0.78 ((~ (member @ (g @ aIb @ aIc @ aI_bUc) @ aIc)
% 0.54/0.78 | ~ (member @ (g @ aIb @ aIc @ aI_bUc) @ bUc))),
% 0.54/0.78 inference('clc', [status(thm)], [zip_derived_cl78, zip_derived_cl54])).
% 0.54/0.78 thf(zip_derived_cl20, plain, ( (intersection @ a @ c @ aIc)),
% 0.54/0.78 inference('cnf', [status(esa)], [a_intersection_c])).
% 0.54/0.78 thf(zip_derived_cl14, plain,
% 0.54/0.78 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 0.54/0.78 (~ (intersection @ X0 @ X1 @ X2)
% 0.54/0.78 | ~ (member @ X3 @ X1)
% 0.54/0.78 | ~ (member @ X3 @ X0)
% 0.54/0.78 | (member @ X3 @ X2))),
% 0.54/0.78 inference('cnf', [status(esa)],
% 0.54/0.78 [member_of_both_is_member_of_intersection])).
% 0.54/0.78 thf(zip_derived_cl56, plain,
% 0.54/0.78 (![X0 : $i]:
% 0.54/0.78 ( (member @ X0 @ aIc) | ~ (member @ X0 @ a) | ~ (member @ X0 @ c))),
% 0.54/0.78 inference('dp-resolution', [status(thm)],
% 0.54/0.78 [zip_derived_cl20, zip_derived_cl14])).
% 0.54/0.78 thf(zip_derived_cl87, plain,
% 0.54/0.78 ((~ (member @ (g @ aIb @ aIc @ aI_bUc) @ bUc)
% 0.54/0.78 | ~ (member @ (g @ aIb @ aIc @ aI_bUc) @ c)
% 0.54/0.78 | ~ (member @ (g @ aIb @ aIc @ aI_bUc) @ a))),
% 0.54/0.78 inference('sup+', [status(thm)], [zip_derived_cl86, zip_derived_cl56])).
% 0.54/0.78 thf(b_union_c, axiom, (union @ b @ c @ bUc)).
% 0.54/0.78 thf(zip_derived_cl18, plain, ( (union @ b @ c @ bUc)),
% 0.54/0.78 inference('cnf', [status(esa)], [b_union_c])).
% 0.54/0.78 thf(member_of_set2_is_member_of_union, axiom,
% 0.54/0.78 (( ~( union @ Set1 @ Set2 @ Union ) ) | ( ~( member @ Element @ Set2 ) ) |
% 0.54/0.78 ( member @ Element @ Union ))).
% 0.54/0.78 thf(zip_derived_cl8, plain,
% 0.54/0.78 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 0.54/0.78 (~ (union @ X0 @ X1 @ X2) | ~ (member @ X3 @ X1) | (member @ X3 @ X2))),
% 0.54/0.78 inference('cnf', [status(esa)], [member_of_set2_is_member_of_union])).
% 0.54/0.78 thf(zip_derived_cl41, plain,
% 0.54/0.78 (![X0 : $i]: ( (member @ X0 @ bUc) | ~ (member @ X0 @ c))),
% 0.54/0.78 inference('dp-resolution', [status(thm)],
% 0.54/0.78 [zip_derived_cl18, zip_derived_cl8])).
% 0.54/0.78 thf(zip_derived_cl170, plain,
% 0.54/0.78 ((~ (member @ (g @ aIb @ aIc @ aI_bUc) @ a)
% 0.54/0.78 | ~ (member @ (g @ aIb @ aIc @ aI_bUc) @ c))),
% 0.54/0.78 inference('clc', [status(thm)], [zip_derived_cl87, zip_derived_cl41])).
% 0.54/0.78 thf(union_axiom1, axiom,
% 0.54/0.78 (( union @ Set1 @ Set2 @ Union ) |
% 0.54/0.78 ( member @ ( g @ Set1 @ Set2 @ Union ) @ Set1 ) |
% 0.54/0.78 ( member @ ( g @ Set1 @ Set2 @ Union ) @ Set2 ) |
% 0.54/0.78 ( member @ ( g @ Set1 @ Set2 @ Union ) @ Union ))).
% 0.54/0.78 thf(zip_derived_cl9, plain,
% 0.54/0.78 (![X0 : $i, X1 : $i, X2 : $i]:
% 0.54/0.78 ( (union @ X0 @ X1 @ X2)
% 0.54/0.78 | (member @ (g @ X0 @ X1 @ X2) @ X0)
% 0.54/0.78 | (member @ (g @ X0 @ X1 @ X2) @ X1)
% 0.54/0.78 | (member @ (g @ X0 @ X1 @ X2) @ X2))),
% 0.54/0.78 inference('cnf', [status(esa)], [union_axiom1])).
% 0.54/0.78 thf(zip_derived_cl22, plain, (~ (union @ aIb @ aIc @ aI_bUc)),
% 0.54/0.78 inference('cnf', [status(esa)], [zf_stmt_0])).
% 0.54/0.78 thf(zip_derived_cl30, plain,
% 0.54/0.78 (( (member @ (g @ aIb @ aIc @ aI_bUc) @ aI_bUc)
% 0.54/0.78 | (member @ (g @ aIb @ aIc @ aI_bUc) @ aIc)
% 0.54/0.78 | (member @ (g @ aIb @ aIc @ aI_bUc) @ aIb))),
% 0.54/0.78 inference('dp-resolution', [status(thm)],
% 0.54/0.78 [zip_derived_cl9, zip_derived_cl22])).
% 0.54/0.78 thf(zip_derived_cl21, plain, ( (intersection @ a @ bUc @ aI_bUc)),
% 0.54/0.78 inference('cnf', [status(esa)], [a_intersection_bUc])).
% 0.54/0.78 thf(zip_derived_cl12, plain,
% 0.54/0.78 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 0.54/0.78 (~ (intersection @ X0 @ X1 @ X2)
% 0.54/0.78 | ~ (member @ X3 @ X2)
% 0.54/0.78 | (member @ X3 @ X0))),
% 0.54/0.78 inference('cnf', [status(esa)],
% 0.54/0.78 [member_of_intersection_is_member_of_set1])).
% 0.54/0.78 thf(zip_derived_cl57, plain,
% 0.54/0.78 (![X0 : $i]: ( (member @ X0 @ a) | ~ (member @ X0 @ aI_bUc))),
% 0.54/0.78 inference('dp-resolution', [status(thm)],
% 0.54/0.78 [zip_derived_cl21, zip_derived_cl12])).
% 0.54/0.78 thf(zip_derived_cl137, plain,
% 0.54/0.78 (( (member @ (g @ aIb @ aIc @ aI_bUc) @ aIb)
% 0.54/0.78 | (member @ (g @ aIb @ aIc @ aI_bUc) @ aIc)
% 0.54/0.78 | (member @ (g @ aIb @ aIc @ aI_bUc) @ a))),
% 0.54/0.78 inference('sup-', [status(thm)], [zip_derived_cl30, zip_derived_cl57])).
% 0.54/0.78 thf(a_intersection_b, axiom, (intersection @ a @ b @ aIb)).
% 0.54/0.78 thf(zip_derived_cl19, plain, ( (intersection @ a @ b @ aIb)),
% 0.54/0.78 inference('cnf', [status(esa)], [a_intersection_b])).
% 0.54/0.78 thf(zip_derived_cl12, plain,
% 0.54/0.78 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 0.54/0.78 (~ (intersection @ X0 @ X1 @ X2)
% 0.54/0.78 | ~ (member @ X3 @ X2)
% 0.54/0.78 | (member @ X3 @ X0))),
% 0.54/0.78 inference('cnf', [status(esa)],
% 0.54/0.78 [member_of_intersection_is_member_of_set1])).
% 0.54/0.78 thf(zip_derived_cl51, plain,
% 0.54/0.78 (![X0 : $i]: ( (member @ X0 @ a) | ~ (member @ X0 @ aIb))),
% 0.54/0.78 inference('dp-resolution', [status(thm)],
% 0.54/0.78 [zip_derived_cl19, zip_derived_cl12])).
% 0.54/0.78 thf(zip_derived_cl194, plain,
% 0.54/0.78 (( (member @ (g @ aIb @ aIc @ aI_bUc) @ a)
% 0.54/0.78 | (member @ (g @ aIb @ aIc @ aI_bUc) @ aIc))),
% 0.54/0.78 inference('clc', [status(thm)], [zip_derived_cl137, zip_derived_cl51])).
% 0.54/0.78 thf(zip_derived_cl54, plain,
% 0.54/0.78 (![X0 : $i]: ( (member @ X0 @ a) | ~ (member @ X0 @ aIc))),
% 0.54/0.78 inference('dp-resolution', [status(thm)],
% 0.54/0.78 [zip_derived_cl20, zip_derived_cl12])).
% 0.54/0.78 thf(zip_derived_cl195, plain, ( (member @ (g @ aIb @ aIc @ aI_bUc) @ a)),
% 0.54/0.78 inference('clc', [status(thm)], [zip_derived_cl194, zip_derived_cl54])).
% 0.54/0.78 thf(zip_derived_cl197, plain, (~ (member @ (g @ aIb @ aIc @ aI_bUc) @ c)),
% 0.54/0.78 inference('demod', [status(thm)], [zip_derived_cl170, zip_derived_cl195])).
% 0.54/0.78 thf(zip_derived_cl18, plain, ( (union @ b @ c @ bUc)),
% 0.54/0.78 inference('cnf', [status(esa)], [b_union_c])).
% 0.54/0.78 thf(member_of_union_is_member_of_one_set, axiom,
% 0.54/0.78 (( ~( union @ Set1 @ Set2 @ Union ) ) |
% 0.54/0.78 ( ~( member @ Element @ Union ) ) | ( member @ Element @ Set1 ) |
% 0.54/0.78 ( member @ Element @ Set2 ))).
% 0.54/0.78 thf(zip_derived_cl6, plain,
% 0.54/0.78 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 0.54/0.78 (~ (union @ X0 @ X1 @ X2)
% 0.54/0.78 | ~ (member @ X3 @ X2)
% 0.54/0.78 | (member @ X3 @ X0)
% 0.54/0.78 | (member @ X3 @ X1))),
% 0.54/0.78 inference('cnf', [status(esa)], [member_of_union_is_member_of_one_set])).
% 0.54/0.78 thf(zip_derived_cl39, plain,
% 0.54/0.78 (![X0 : $i]:
% 0.54/0.78 ( (member @ X0 @ c) | (member @ X0 @ b) | ~ (member @ X0 @ bUc))),
% 0.54/0.78 inference('dp-resolution', [status(thm)],
% 0.54/0.78 [zip_derived_cl18, zip_derived_cl6])).
% 0.54/0.78 thf(zip_derived_cl19, plain, ( (intersection @ a @ b @ aIb)),
% 0.54/0.78 inference('cnf', [status(esa)], [a_intersection_b])).
% 0.54/0.78 thf(member_of_intersection_is_member_of_set2, axiom,
% 0.54/0.78 (( ~( intersection @ Set1 @ Set2 @ Intersection ) ) |
% 0.54/0.78 ( ~( member @ Element @ Intersection ) ) | ( member @ Element @ Set2 ))).
% 0.54/0.78 thf(zip_derived_cl13, plain,
% 0.54/0.78 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 0.54/0.78 (~ (intersection @ X0 @ X1 @ X2)
% 0.54/0.78 | ~ (member @ X3 @ X2)
% 0.54/0.78 | (member @ X3 @ X1))),
% 0.54/0.78 inference('cnf', [status(esa)],
% 0.54/0.78 [member_of_intersection_is_member_of_set2])).
% 0.54/0.78 thf(zip_derived_cl52, plain,
% 0.54/0.78 (![X0 : $i]: ( (member @ X0 @ b) | ~ (member @ X0 @ aIb))),
% 0.54/0.78 inference('dp-resolution', [status(thm)],
% 0.54/0.78 [zip_derived_cl19, zip_derived_cl13])).
% 0.54/0.78 thf(zip_derived_cl20, plain, ( (intersection @ a @ c @ aIc)),
% 0.54/0.78 inference('cnf', [status(esa)], [a_intersection_c])).
% 0.54/0.78 thf(zip_derived_cl13, plain,
% 0.54/0.78 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 0.54/0.78 (~ (intersection @ X0 @ X1 @ X2)
% 0.54/0.78 | ~ (member @ X3 @ X2)
% 0.54/0.78 | (member @ X3 @ X1))),
% 0.54/0.78 inference('cnf', [status(esa)],
% 0.54/0.78 [member_of_intersection_is_member_of_set2])).
% 0.54/0.78 thf(zip_derived_cl55, plain,
% 0.54/0.78 (![X0 : $i]: ( (member @ X0 @ c) | ~ (member @ X0 @ aIc))),
% 0.54/0.78 inference('dp-resolution', [status(thm)],
% 0.54/0.78 [zip_derived_cl20, zip_derived_cl13])).
% 0.54/0.78 thf(zip_derived_cl30, plain,
% 0.54/0.78 (( (member @ (g @ aIb @ aIc @ aI_bUc) @ aI_bUc)
% 0.54/0.78 | (member @ (g @ aIb @ aIc @ aI_bUc) @ aIc)
% 0.54/0.78 | (member @ (g @ aIb @ aIc @ aI_bUc) @ aIb))),
% 0.54/0.78 inference('dp-resolution', [status(thm)],
% 0.54/0.78 [zip_derived_cl9, zip_derived_cl22])).
% 0.54/0.78 thf(zip_derived_cl21, plain, ( (intersection @ a @ bUc @ aI_bUc)),
% 0.54/0.78 inference('cnf', [status(esa)], [a_intersection_bUc])).
% 0.54/0.78 thf(zip_derived_cl13, plain,
% 0.54/0.78 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 0.54/0.78 (~ (intersection @ X0 @ X1 @ X2)
% 0.54/0.78 | ~ (member @ X3 @ X2)
% 0.54/0.78 | (member @ X3 @ X1))),
% 0.54/0.78 inference('cnf', [status(esa)],
% 0.54/0.78 [member_of_intersection_is_member_of_set2])).
% 0.54/0.78 thf(zip_derived_cl58, plain,
% 0.54/0.78 (![X0 : $i]: ( (member @ X0 @ bUc) | ~ (member @ X0 @ aI_bUc))),
% 0.54/0.78 inference('dp-resolution', [status(thm)],
% 0.54/0.78 [zip_derived_cl21, zip_derived_cl13])).
% 0.54/0.78 thf(zip_derived_cl138, plain,
% 0.54/0.78 (( (member @ (g @ aIb @ aIc @ aI_bUc) @ aIb)
% 0.54/0.78 | (member @ (g @ aIb @ aIc @ aI_bUc) @ aIc)
% 0.54/0.78 | (member @ (g @ aIb @ aIc @ aI_bUc) @ bUc))),
% 0.54/0.78 inference('sup-', [status(thm)], [zip_derived_cl30, zip_derived_cl58])).
% 0.54/0.78 thf(zip_derived_cl206, plain,
% 0.54/0.78 (( (member @ (g @ aIb @ aIc @ aI_bUc) @ c)
% 0.54/0.78 | (member @ (g @ aIb @ aIc @ aI_bUc) @ bUc)
% 0.54/0.78 | (member @ (g @ aIb @ aIc @ aI_bUc) @ aIb))),
% 0.54/0.78 inference('sup+', [status(thm)], [zip_derived_cl55, zip_derived_cl138])).
% 0.54/0.78 thf(zip_derived_cl197, plain, (~ (member @ (g @ aIb @ aIc @ aI_bUc) @ c)),
% 0.54/0.78 inference('demod', [status(thm)], [zip_derived_cl170, zip_derived_cl195])).
% 0.54/0.78 thf(zip_derived_cl209, plain,
% 0.54/0.78 (( (member @ (g @ aIb @ aIc @ aI_bUc) @ bUc)
% 0.54/0.78 | (member @ (g @ aIb @ aIc @ aI_bUc) @ aIb))),
% 0.54/0.78 inference('demod', [status(thm)], [zip_derived_cl206, zip_derived_cl197])).
% 0.54/0.78 thf(zip_derived_cl218, plain,
% 0.54/0.78 (( (member @ (g @ aIb @ aIc @ aI_bUc) @ b)
% 0.54/0.78 | (member @ (g @ aIb @ aIc @ aI_bUc) @ bUc))),
% 0.54/0.78 inference('sup+', [status(thm)], [zip_derived_cl52, zip_derived_cl209])).
% 0.54/0.78 thf(zip_derived_cl59, plain,
% 0.54/0.78 (![X0 : $i]:
% 0.54/0.78 ( (member @ X0 @ aI_bUc) | ~ (member @ X0 @ a) | ~ (member @ X0 @ bUc))),
% 0.54/0.78 inference('dp-resolution', [status(thm)],
% 0.54/0.78 [zip_derived_cl21, zip_derived_cl14])).
% 0.54/0.78 thf(union_axiom2, axiom,
% 0.54/0.78 (( ~( member @ ( g @ Set1 @ Set2 @ Union ) @ Set1 ) ) |
% 0.54/0.78 ( ~( member @ ( g @ Set1 @ Set2 @ Union ) @ Union ) ) |
% 0.54/0.78 ( union @ Set1 @ Set2 @ Union ))).
% 0.54/0.78 thf(zip_derived_cl10, plain,
% 0.54/0.78 (![X0 : $i, X1 : $i, X2 : $i]:
% 0.54/0.78 (~ (member @ (g @ X0 @ X1 @ X2) @ X0)
% 0.54/0.78 | ~ (member @ (g @ X0 @ X1 @ X2) @ X2)
% 0.54/0.78 | (union @ X0 @ X1 @ X2))),
% 0.54/0.78 inference('cnf', [status(esa)], [union_axiom2])).
% 0.54/0.78 thf(zip_derived_cl22, plain, (~ (union @ aIb @ aIc @ aI_bUc)),
% 0.54/0.78 inference('cnf', [status(esa)], [zf_stmt_0])).
% 0.54/0.78 thf(zip_derived_cl34, plain,
% 0.54/0.78 ((~ (member @ (g @ aIb @ aIc @ aI_bUc) @ aI_bUc)
% 0.54/0.78 | ~ (member @ (g @ aIb @ aIc @ aI_bUc) @ aIb))),
% 0.54/0.78 inference('dp-resolution', [status(thm)],
% 0.54/0.78 [zip_derived_cl10, zip_derived_cl22])).
% 0.54/0.78 thf(zip_derived_cl77, plain,
% 0.54/0.78 ((~ (member @ (g @ aIb @ aIc @ aI_bUc) @ bUc)
% 0.54/0.78 | ~ (member @ (g @ aIb @ aIc @ aI_bUc) @ a)
% 0.54/0.78 | ~ (member @ (g @ aIb @ aIc @ aI_bUc) @ aIb))),
% 0.54/0.78 inference('sup-', [status(thm)], [zip_derived_cl59, zip_derived_cl34])).
% 0.54/0.78 thf(zip_derived_cl51, plain,
% 0.54/0.78 (![X0 : $i]: ( (member @ X0 @ a) | ~ (member @ X0 @ aIb))),
% 0.54/0.78 inference('dp-resolution', [status(thm)],
% 0.54/0.78 [zip_derived_cl19, zip_derived_cl12])).
% 0.54/0.78 thf(zip_derived_cl83, plain,
% 0.54/0.78 ((~ (member @ (g @ aIb @ aIc @ aI_bUc) @ aIb)
% 0.54/0.78 | ~ (member @ (g @ aIb @ aIc @ aI_bUc) @ bUc))),
% 0.54/0.78 inference('clc', [status(thm)], [zip_derived_cl77, zip_derived_cl51])).
% 0.54/0.78 thf(zip_derived_cl19, plain, ( (intersection @ a @ b @ aIb)),
% 0.54/0.78 inference('cnf', [status(esa)], [a_intersection_b])).
% 0.54/0.78 thf(zip_derived_cl14, plain,
% 0.54/0.78 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 0.54/0.78 (~ (intersection @ X0 @ X1 @ X2)
% 0.54/0.78 | ~ (member @ X3 @ X1)
% 0.54/0.78 | ~ (member @ X3 @ X0)
% 0.54/0.78 | (member @ X3 @ X2))),
% 0.54/0.78 inference('cnf', [status(esa)],
% 0.54/0.78 [member_of_both_is_member_of_intersection])).
% 0.54/0.78 thf(zip_derived_cl53, plain,
% 0.54/0.78 (![X0 : $i]:
% 0.54/0.78 ( (member @ X0 @ aIb) | ~ (member @ X0 @ a) | ~ (member @ X0 @ b))),
% 0.54/0.78 inference('dp-resolution', [status(thm)],
% 0.54/0.78 [zip_derived_cl19, zip_derived_cl14])).
% 0.54/0.78 thf(zip_derived_cl84, plain,
% 0.54/0.78 ((~ (member @ (g @ aIb @ aIc @ aI_bUc) @ bUc)
% 0.54/0.78 | ~ (member @ (g @ aIb @ aIc @ aI_bUc) @ b)
% 0.54/0.78 | ~ (member @ (g @ aIb @ aIc @ aI_bUc) @ a))),
% 0.54/0.78 inference('sup+', [status(thm)], [zip_derived_cl83, zip_derived_cl53])).
% 0.54/0.78 thf(zip_derived_cl18, plain, ( (union @ b @ c @ bUc)),
% 0.54/0.78 inference('cnf', [status(esa)], [b_union_c])).
% 0.54/0.78 thf(member_of_set1_is_member_of_union, axiom,
% 0.54/0.78 (( ~( union @ Set1 @ Set2 @ Union ) ) | ( ~( member @ Element @ Set1 ) ) |
% 0.54/0.78 ( member @ Element @ Union ))).
% 0.54/0.78 thf(zip_derived_cl7, plain,
% 0.54/0.78 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 0.54/0.78 (~ (union @ X0 @ X1 @ X2) | ~ (member @ X3 @ X0) | (member @ X3 @ X2))),
% 0.54/0.78 inference('cnf', [status(esa)], [member_of_set1_is_member_of_union])).
% 0.54/0.78 thf(zip_derived_cl40, plain,
% 0.54/0.78 (![X0 : $i]: ( (member @ X0 @ bUc) | ~ (member @ X0 @ b))),
% 0.54/0.78 inference('dp-resolution', [status(thm)],
% 0.54/0.78 [zip_derived_cl18, zip_derived_cl7])).
% 0.54/0.78 thf(zip_derived_cl151, plain,
% 0.54/0.78 ((~ (member @ (g @ aIb @ aIc @ aI_bUc) @ a)
% 0.54/0.78 | ~ (member @ (g @ aIb @ aIc @ aI_bUc) @ b))),
% 0.54/0.78 inference('clc', [status(thm)], [zip_derived_cl84, zip_derived_cl40])).
% 0.54/0.78 thf(zip_derived_cl195, plain, ( (member @ (g @ aIb @ aIc @ aI_bUc) @ a)),
% 0.54/0.78 inference('clc', [status(thm)], [zip_derived_cl194, zip_derived_cl54])).
% 0.54/0.78 thf(zip_derived_cl196, plain, (~ (member @ (g @ aIb @ aIc @ aI_bUc) @ b)),
% 0.54/0.78 inference('demod', [status(thm)], [zip_derived_cl151, zip_derived_cl195])).
% 0.54/0.78 thf(zip_derived_cl220, plain, ( (member @ (g @ aIb @ aIc @ aI_bUc) @ bUc)),
% 0.54/0.78 inference('demod', [status(thm)], [zip_derived_cl218, zip_derived_cl196])).
% 0.54/0.78 thf(zip_derived_cl244, plain,
% 0.54/0.78 (( (member @ (g @ aIb @ aIc @ aI_bUc) @ b)
% 0.54/0.78 | (member @ (g @ aIb @ aIc @ aI_bUc) @ c))),
% 0.54/0.78 inference('sup+', [status(thm)], [zip_derived_cl39, zip_derived_cl220])).
% 0.54/0.78 thf(zip_derived_cl196, plain, (~ (member @ (g @ aIb @ aIc @ aI_bUc) @ b)),
% 0.54/0.78 inference('demod', [status(thm)], [zip_derived_cl151, zip_derived_cl195])).
% 0.54/0.78 thf(zip_derived_cl245, plain, ( (member @ (g @ aIb @ aIc @ aI_bUc) @ c)),
% 0.54/0.78 inference('demod', [status(thm)], [zip_derived_cl244, zip_derived_cl196])).
% 0.54/0.78 thf(zip_derived_cl256, plain, ($false),
% 0.54/0.78 inference('demod', [status(thm)], [zip_derived_cl197, zip_derived_cl245])).
% 0.54/0.78
% 0.54/0.78 % SZS output end Refutation
% 0.54/0.78
% 0.54/0.78
% 0.54/0.78 % Terminating...
% 0.57/0.83 % Runner terminated.
% 1.57/0.84 % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------