%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : SET010-1 : 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.zvKNSaTxgt true
% Computer : n021.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 04:51:05 PM UTC 2025
% Result : Unsatisfiable 0.47s 0.76s
% Output : Refutation 0.47s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.05/0.10 % Problem : SET010-1 : TPTP v9.2.0. Released v1.0.0.
% 0.05/0.11 % Command : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.zvKNSaTxgt true
% 0.10/0.31 % Computer : n021.cluster.edu
% 0.10/0.31 % Model : x86_64 x86_64
% 0.10/0.31 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.31 % Memory : 8042.1875MB
% 0.10/0.31 % OS : Linux 3.10.0-693.el7.x86_64
% 0.10/0.31 % CPULimit : 300
% 0.10/0.31 % WCLimit : 300
% 0.10/0.31 % DateTime : Wed Oct 1 13:19:38 EDT 2025
% 0.15/0.31 % CPUTime :
% 0.15/0.31 % Running portfolio for 300 s
% 0.15/0.31 % File : /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.15/0.31 % Number of cores: 8
% 0.15/0.31 % Python version: Python 3.6.8
% 0.15/0.31 % Running in FO mode
% 0.44/0.56 % Total configuration time : 435
% 0.44/0.56 % Estimated wc time : 1092
% 0.44/0.56 % Estimated cpu time (7 cpus) : 156.0
% 0.46/0.67 % /export/starexec/sandbox/solver/bin/fo/fo3_bce.sh running for 75s
% 0.46/0.67 % /export/starexec/sandbox/solver/bin/fo/fo6_bce.sh running for 75s
% 0.46/0.67 % /export/starexec/sandbox/solver/bin/fo/fo1_av.sh running for 75s
% 0.46/0.68 % /export/starexec/sandbox/solver/bin/fo/fo13.sh running for 50s
% 0.47/0.68 % /export/starexec/sandbox/solver/bin/fo/fo7.sh running for 63s
% 0.47/0.68 % /export/starexec/sandbox/solver/bin/fo/fo5.sh running for 50s
% 0.47/0.68 % /export/starexec/sandbox/solver/bin/fo/fo4.sh running for 50s
% 0.47/0.76 % Solved by fo/fo3_bce.sh.
% 0.47/0.76 % BCE start: 29
% 0.47/0.76 % BCE eliminated: 0
% 0.47/0.76 % PE start: 29
% 0.47/0.76 logic: neq
% 0.47/0.76 % PE eliminated: -15
% 0.47/0.76 % done 47 iterations in 0.059s
% 0.47/0.76 % SZS status Theorem for '/export/starexec/sandbox/benchmark/theBenchmark.p'
% 0.47/0.76 % SZS output start Refutation
% 0.47/0.76 thf(cDa_type, type, cDa: $i).
% 0.47/0.76 thf(b_type, type, b: $i).
% 0.47/0.76 thf(g_type, type, g: $i > $i > $i > $i).
% 0.47/0.76 thf(union_type, type, union: $i > $i > $i > $o).
% 0.47/0.76 thf(cDb_type, type, cDb: $i).
% 0.47/0.76 thf(intersection_type, type, intersection: $i > $i > $i > $o).
% 0.47/0.76 thf(cD_aIb_type, type, cD_aIb: $i).
% 0.47/0.76 thf(a_type, type, a: $i).
% 0.47/0.76 thf(difference_type, type, difference: $i > $i > $i > $o).
% 0.47/0.76 thf(aIb_type, type, aIb: $i).
% 0.47/0.76 thf(member_type, type, member: $i > $i > $o).
% 0.47/0.76 thf(c_type, type, c: $i).
% 0.47/0.76 thf(c_minus_aIb, axiom, (difference @ c @ aIb @ cD_aIb)).
% 0.47/0.76 thf(zip_derived_cl27, plain, ( (difference @ c @ aIb @ cD_aIb)),
% 0.47/0.76 inference('cnf', [status(esa)], [c_minus_aIb])).
% 0.47/0.76 thf(member_of_difference_or_set2, axiom,
% 0.47/0.76 (( ~( member @ Element @ Set1 ) ) |
% 0.47/0.76 ( ~( difference @ Set1 @ Set2 @ Difference ) ) |
% 0.47/0.76 ( member @ Element @ Difference ) | ( member @ Element @ Set2 ))).
% 0.47/0.76 thf(zip_derived_cl20, plain,
% 0.47/0.76 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 0.47/0.76 (~ (member @ X0 @ X1)
% 0.47/0.76 | ~ (difference @ X1 @ X2 @ X3)
% 0.47/0.76 | (member @ X0 @ X3)
% 0.47/0.76 | (member @ X0 @ X2))),
% 0.47/0.76 inference('cnf', [status(esa)], [member_of_difference_or_set2])).
% 0.47/0.76 thf(zip_derived_cl74, plain,
% 0.47/0.76 (![X0 : $i]:
% 0.47/0.76 ( (member @ X0 @ aIb) | (member @ X0 @ cD_aIb) | ~ (member @ X0 @ c))),
% 0.47/0.76 inference('dp-resolution', [status(thm)],
% 0.47/0.76 [zip_derived_cl27, zip_derived_cl20])).
% 0.47/0.76 thf(union_axiom3, axiom,
% 0.47/0.76 (( ~( member @ ( g @ Set1 @ Set2 @ Union ) @ Set2 ) ) |
% 0.47/0.76 ( ~( member @ ( g @ Set1 @ Set2 @ Union ) @ Union ) ) |
% 0.47/0.76 ( union @ Set1 @ Set2 @ Union ))).
% 0.47/0.76 thf(zip_derived_cl11, plain,
% 0.47/0.76 (![X0 : $i, X1 : $i, X2 : $i]:
% 0.47/0.76 (~ (member @ (g @ X0 @ X1 @ X2) @ X1)
% 0.47/0.76 | ~ (member @ (g @ X0 @ X1 @ X2) @ X2)
% 0.47/0.76 | (union @ X0 @ X1 @ X2))),
% 0.47/0.76 inference('cnf', [status(esa)], [union_axiom3])).
% 0.47/0.76 thf(prove_cDa_union_cDb_is_cD_aIb, conjecture, (union @ cDa @ cDb @ cD_aIb)).
% 0.47/0.76 thf(zf_stmt_0, negated_conjecture, (~( union @ cDa @ cDb @ cD_aIb )),
% 0.47/0.76 inference('cnf.neg', [status(esa)], [prove_cDa_union_cDb_is_cD_aIb])).
% 0.47/0.76 thf(zip_derived_cl28, plain, (~ (union @ cDa @ cDb @ cD_aIb)),
% 0.47/0.76 inference('cnf', [status(esa)], [zf_stmt_0])).
% 0.47/0.76 thf(zip_derived_cl44, plain,
% 0.47/0.76 ((~ (member @ (g @ cDa @ cDb @ cD_aIb) @ cD_aIb)
% 0.47/0.76 | ~ (member @ (g @ cDa @ cDb @ cD_aIb) @ cDb))),
% 0.47/0.76 inference('dp-resolution', [status(thm)],
% 0.47/0.76 [zip_derived_cl11, zip_derived_cl28])).
% 0.47/0.76 thf(zip_derived_cl91, plain,
% 0.47/0.76 ((~ (member @ (g @ cDa @ cDb @ cD_aIb) @ c)
% 0.47/0.76 | (member @ (g @ cDa @ cDb @ cD_aIb) @ aIb)
% 0.47/0.76 | ~ (member @ (g @ cDa @ cDb @ cD_aIb) @ cDb))),
% 0.47/0.76 inference('sup-', [status(thm)], [zip_derived_cl74, zip_derived_cl44])).
% 0.47/0.76 thf(c_minus_b, axiom, (difference @ c @ b @ cDb)).
% 0.47/0.76 thf(zip_derived_cl26, plain, ( (difference @ c @ b @ cDb)),
% 0.47/0.76 inference('cnf', [status(esa)], [c_minus_b])).
% 0.47/0.76 thf(member_of_difference, axiom,
% 0.47/0.76 (( ~( difference @ Set1 @ Set2 @ Difference ) ) |
% 0.47/0.76 ( ~( member @ Element @ Difference ) ) | ( member @ Element @ Set1 ))).
% 0.47/0.76 thf(zip_derived_cl18, plain,
% 0.47/0.76 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 0.47/0.76 (~ (difference @ X0 @ X1 @ X2)
% 0.47/0.76 | ~ (member @ X3 @ X2)
% 0.47/0.76 | (member @ X3 @ X0))),
% 0.47/0.76 inference('cnf', [status(esa)], [member_of_difference])).
% 0.47/0.76 thf(zip_derived_cl69, plain,
% 0.47/0.76 (![X0 : $i]: ( (member @ X0 @ c) | ~ (member @ X0 @ cDb))),
% 0.47/0.76 inference('dp-resolution', [status(thm)],
% 0.47/0.76 [zip_derived_cl26, zip_derived_cl18])).
% 0.47/0.76 thf(zip_derived_cl99, plain,
% 0.47/0.76 ((~ (member @ (g @ cDa @ cDb @ cD_aIb) @ cDb)
% 0.47/0.76 | (member @ (g @ cDa @ cDb @ cD_aIb) @ aIb))),
% 0.47/0.76 inference('clc', [status(thm)], [zip_derived_cl91, zip_derived_cl69])).
% 0.47/0.76 thf(union_axiom1, axiom,
% 0.47/0.76 (( union @ Set1 @ Set2 @ Union ) |
% 0.47/0.76 ( member @ ( g @ Set1 @ Set2 @ Union ) @ Set1 ) |
% 0.47/0.76 ( member @ ( g @ Set1 @ Set2 @ Union ) @ Set2 ) |
% 0.47/0.76 ( member @ ( g @ Set1 @ Set2 @ Union ) @ Union ))).
% 0.47/0.76 thf(zip_derived_cl9, plain,
% 0.47/0.76 (![X0 : $i, X1 : $i, X2 : $i]:
% 0.47/0.76 ( (union @ X0 @ X1 @ X2)
% 0.47/0.76 | (member @ (g @ X0 @ X1 @ X2) @ X0)
% 0.47/0.76 | (member @ (g @ X0 @ X1 @ X2) @ X1)
% 0.47/0.76 | (member @ (g @ X0 @ X1 @ X2) @ X2))),
% 0.47/0.76 inference('cnf', [status(esa)], [union_axiom1])).
% 0.47/0.76 thf(zip_derived_cl28, plain, (~ (union @ cDa @ cDb @ cD_aIb)),
% 0.47/0.76 inference('cnf', [status(esa)], [zf_stmt_0])).
% 0.47/0.76 thf(zip_derived_cl36, plain,
% 0.47/0.76 (( (member @ (g @ cDa @ cDb @ cD_aIb) @ cD_aIb)
% 0.47/0.76 | (member @ (g @ cDa @ cDb @ cD_aIb) @ cDb)
% 0.47/0.76 | (member @ (g @ cDa @ cDb @ cD_aIb) @ cDa))),
% 0.47/0.76 inference('dp-resolution', [status(thm)],
% 0.47/0.76 [zip_derived_cl9, zip_derived_cl28])).
% 0.47/0.76 thf(zip_derived_cl27, plain, ( (difference @ c @ aIb @ cD_aIb)),
% 0.47/0.76 inference('cnf', [status(esa)], [c_minus_aIb])).
% 0.47/0.76 thf(not_member_of_difference, axiom,
% 0.47/0.76 (( ~( member @ Element @ Set1 ) ) | ( ~( member @ Element @ Set2 ) ) |
% 0.47/0.76 ( ~( difference @ A_set @ Set1 @ Set2 ) ))).
% 0.47/0.76 thf(zip_derived_cl19, plain,
% 0.47/0.76 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 0.47/0.76 (~ (member @ X0 @ X1)
% 0.47/0.76 | ~ (member @ X0 @ X2)
% 0.47/0.76 | ~ (difference @ X3 @ X1 @ X2))),
% 0.47/0.76 inference('cnf', [status(esa)], [not_member_of_difference])).
% 0.47/0.76 thf(zip_derived_cl73, plain,
% 0.47/0.76 (![X0 : $i]: (~ (member @ X0 @ cD_aIb) | ~ (member @ X0 @ aIb))),
% 0.47/0.76 inference('dp-resolution', [status(thm)],
% 0.47/0.76 [zip_derived_cl27, zip_derived_cl19])).
% 0.47/0.76 thf(zip_derived_cl147, plain,
% 0.47/0.76 (( (member @ (g @ cDa @ cDb @ cD_aIb) @ cDa)
% 0.47/0.76 | (member @ (g @ cDa @ cDb @ cD_aIb) @ cDb)
% 0.47/0.76 | ~ (member @ (g @ cDa @ cDb @ cD_aIb) @ aIb))),
% 0.47/0.76 inference('sup-', [status(thm)], [zip_derived_cl36, zip_derived_cl73])).
% 0.47/0.76 thf(zip_derived_cl26, plain, ( (difference @ c @ b @ cDb)),
% 0.47/0.76 inference('cnf', [status(esa)], [c_minus_b])).
% 0.47/0.76 thf(zip_derived_cl19, plain,
% 0.47/0.76 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 0.47/0.76 (~ (member @ X0 @ X1)
% 0.47/0.76 | ~ (member @ X0 @ X2)
% 0.47/0.76 | ~ (difference @ X3 @ X1 @ X2))),
% 0.47/0.76 inference('cnf', [status(esa)], [not_member_of_difference])).
% 0.47/0.76 thf(zip_derived_cl70, plain,
% 0.47/0.76 (![X0 : $i]: (~ (member @ X0 @ cDb) | ~ (member @ X0 @ b))),
% 0.47/0.76 inference('dp-resolution', [status(thm)],
% 0.47/0.76 [zip_derived_cl26, zip_derived_cl19])).
% 0.47/0.76 thf(zip_derived_cl162, plain,
% 0.47/0.76 ((~ (member @ (g @ cDa @ cDb @ cD_aIb) @ aIb)
% 0.47/0.76 | (member @ (g @ cDa @ cDb @ cD_aIb) @ cDa)
% 0.47/0.76 | ~ (member @ (g @ cDa @ cDb @ cD_aIb) @ b))),
% 0.47/0.76 inference('sup-', [status(thm)], [zip_derived_cl147, zip_derived_cl70])).
% 0.47/0.76 thf(a_intersection_b, axiom, (intersection @ a @ b @ aIb)).
% 0.47/0.76 thf(zip_derived_cl24, plain, ( (intersection @ a @ b @ aIb)),
% 0.47/0.76 inference('cnf', [status(esa)], [a_intersection_b])).
% 0.47/0.76 thf(member_of_intersection_is_member_of_set2, axiom,
% 0.47/0.76 (( ~( intersection @ Set1 @ Set2 @ Intersection ) ) |
% 0.47/0.76 ( ~( member @ Element @ Intersection ) ) | ( member @ Element @ Set2 ))).
% 0.47/0.76 thf(zip_derived_cl13, plain,
% 0.47/0.76 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 0.47/0.76 (~ (intersection @ X0 @ X1 @ X2)
% 0.47/0.76 | ~ (member @ X3 @ X2)
% 0.47/0.76 | (member @ X3 @ X1))),
% 0.47/0.76 inference('cnf', [status(esa)],
% 0.47/0.76 [member_of_intersection_is_member_of_set2])).
% 0.47/0.76 thf(zip_derived_cl55, plain,
% 0.47/0.76 (![X0 : $i]: ( (member @ X0 @ b) | ~ (member @ X0 @ aIb))),
% 0.47/0.76 inference('dp-resolution', [status(thm)],
% 0.47/0.76 [zip_derived_cl24, zip_derived_cl13])).
% 0.47/0.76 thf(zip_derived_cl167, plain,
% 0.47/0.76 (( (member @ (g @ cDa @ cDb @ cD_aIb) @ cDa)
% 0.47/0.76 | ~ (member @ (g @ cDa @ cDb @ cD_aIb) @ aIb))),
% 0.47/0.76 inference('clc', [status(thm)], [zip_derived_cl162, zip_derived_cl55])).
% 0.47/0.76 thf(c_minus_a, axiom, (difference @ c @ a @ cDa)).
% 0.47/0.76 thf(zip_derived_cl25, plain, ( (difference @ c @ a @ cDa)),
% 0.47/0.76 inference('cnf', [status(esa)], [c_minus_a])).
% 0.47/0.76 thf(zip_derived_cl19, plain,
% 0.47/0.76 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 0.47/0.76 (~ (member @ X0 @ X1)
% 0.47/0.76 | ~ (member @ X0 @ X2)
% 0.47/0.76 | ~ (difference @ X3 @ X1 @ X2))),
% 0.47/0.76 inference('cnf', [status(esa)], [not_member_of_difference])).
% 0.47/0.76 thf(zip_derived_cl67, plain,
% 0.47/0.76 (![X0 : $i]: (~ (member @ X0 @ cDa) | ~ (member @ X0 @ a))),
% 0.47/0.76 inference('dp-resolution', [status(thm)],
% 0.47/0.76 [zip_derived_cl25, zip_derived_cl19])).
% 0.47/0.76 thf(zip_derived_cl170, plain,
% 0.47/0.76 ((~ (member @ (g @ cDa @ cDb @ cD_aIb) @ aIb)
% 0.47/0.76 | ~ (member @ (g @ cDa @ cDb @ cD_aIb) @ a))),
% 0.47/0.76 inference('sup-', [status(thm)], [zip_derived_cl167, zip_derived_cl67])).
% 0.47/0.76 thf(zip_derived_cl24, plain, ( (intersection @ a @ b @ aIb)),
% 0.47/0.76 inference('cnf', [status(esa)], [a_intersection_b])).
% 0.47/0.76 thf(member_of_intersection_is_member_of_set1, axiom,
% 0.47/0.76 (( ~( intersection @ Set1 @ Set2 @ Intersection ) ) |
% 0.47/0.76 ( ~( member @ Element @ Intersection ) ) | ( member @ Element @ Set1 ))).
% 0.47/0.76 thf(zip_derived_cl12, plain,
% 0.47/0.76 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 0.47/0.76 (~ (intersection @ X0 @ X1 @ X2)
% 0.47/0.76 | ~ (member @ X3 @ X2)
% 0.47/0.76 | (member @ X3 @ X0))),
% 0.47/0.76 inference('cnf', [status(esa)],
% 0.47/0.76 [member_of_intersection_is_member_of_set1])).
% 0.47/0.76 thf(zip_derived_cl54, plain,
% 0.47/0.76 (![X0 : $i]: ( (member @ X0 @ a) | ~ (member @ X0 @ aIb))),
% 0.47/0.76 inference('dp-resolution', [status(thm)],
% 0.47/0.76 [zip_derived_cl24, zip_derived_cl12])).
% 0.47/0.76 thf(zip_derived_cl193, plain, (~ (member @ (g @ cDa @ cDb @ cD_aIb) @ aIb)),
% 0.47/0.76 inference('clc', [status(thm)], [zip_derived_cl170, zip_derived_cl54])).
% 0.47/0.76 thf(zip_derived_cl195, plain, (~ (member @ (g @ cDa @ cDb @ cD_aIb) @ cDb)),
% 0.47/0.76 inference('demod', [status(thm)], [zip_derived_cl99, zip_derived_cl193])).
% 0.47/0.76 thf(zip_derived_cl26, plain, ( (difference @ c @ b @ cDb)),
% 0.47/0.76 inference('cnf', [status(esa)], [c_minus_b])).
% 0.47/0.76 thf(zip_derived_cl20, plain,
% 0.47/0.76 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 0.47/0.76 (~ (member @ X0 @ X1)
% 0.47/0.76 | ~ (difference @ X1 @ X2 @ X3)
% 0.47/0.76 | (member @ X0 @ X3)
% 0.47/0.76 | (member @ X0 @ X2))),
% 0.47/0.76 inference('cnf', [status(esa)], [member_of_difference_or_set2])).
% 0.47/0.76 thf(zip_derived_cl71, plain,
% 0.47/0.76 (![X0 : $i]:
% 0.47/0.76 ( (member @ X0 @ b) | (member @ X0 @ cDb) | ~ (member @ X0 @ c))),
% 0.47/0.76 inference('dp-resolution', [status(thm)],
% 0.47/0.76 [zip_derived_cl26, zip_derived_cl20])).
% 0.47/0.76 thf(zip_derived_cl201, plain,
% 0.47/0.76 ((~ (member @ (g @ cDa @ cDb @ cD_aIb) @ c)
% 0.47/0.76 | (member @ (g @ cDa @ cDb @ cD_aIb) @ b))),
% 0.47/0.76 inference('sup+', [status(thm)], [zip_derived_cl195, zip_derived_cl71])).
% 0.47/0.76 thf(zip_derived_cl36, plain,
% 0.47/0.76 (( (member @ (g @ cDa @ cDb @ cD_aIb) @ cD_aIb)
% 0.47/0.76 | (member @ (g @ cDa @ cDb @ cD_aIb) @ cDb)
% 0.47/0.76 | (member @ (g @ cDa @ cDb @ cD_aIb) @ cDa))),
% 0.47/0.76 inference('dp-resolution', [status(thm)],
% 0.47/0.76 [zip_derived_cl9, zip_derived_cl28])).
% 0.47/0.76 thf(zip_derived_cl74, plain,
% 0.47/0.76 (![X0 : $i]:
% 0.47/0.76 ( (member @ X0 @ aIb) | (member @ X0 @ cD_aIb) | ~ (member @ X0 @ c))),
% 0.47/0.76 inference('dp-resolution', [status(thm)],
% 0.47/0.76 [zip_derived_cl27, zip_derived_cl20])).
% 0.47/0.76 thf(union_axiom2, axiom,
% 0.47/0.76 (( ~( member @ ( g @ Set1 @ Set2 @ Union ) @ Set1 ) ) |
% 0.47/0.76 ( ~( member @ ( g @ Set1 @ Set2 @ Union ) @ Union ) ) |
% 0.47/0.76 ( union @ Set1 @ Set2 @ Union ))).
% 0.47/0.76 thf(zip_derived_cl10, plain,
% 0.47/0.76 (![X0 : $i, X1 : $i, X2 : $i]:
% 0.47/0.76 (~ (member @ (g @ X0 @ X1 @ X2) @ X0)
% 0.47/0.76 | ~ (member @ (g @ X0 @ X1 @ X2) @ X2)
% 0.47/0.76 | (union @ X0 @ X1 @ X2))),
% 0.47/0.76 inference('cnf', [status(esa)], [union_axiom2])).
% 0.47/0.76 thf(zip_derived_cl28, plain, (~ (union @ cDa @ cDb @ cD_aIb)),
% 0.47/0.76 inference('cnf', [status(esa)], [zf_stmt_0])).
% 0.47/0.76 thf(zip_derived_cl40, plain,
% 0.47/0.76 ((~ (member @ (g @ cDa @ cDb @ cD_aIb) @ cD_aIb)
% 0.47/0.76 | ~ (member @ (g @ cDa @ cDb @ cD_aIb) @ cDa))),
% 0.47/0.76 inference('dp-resolution', [status(thm)],
% 0.47/0.76 [zip_derived_cl10, zip_derived_cl28])).
% 0.47/0.76 thf(zip_derived_cl90, plain,
% 0.47/0.76 ((~ (member @ (g @ cDa @ cDb @ cD_aIb) @ c)
% 0.47/0.76 | (member @ (g @ cDa @ cDb @ cD_aIb) @ aIb)
% 0.47/0.76 | ~ (member @ (g @ cDa @ cDb @ cD_aIb) @ cDa))),
% 0.47/0.76 inference('sup-', [status(thm)], [zip_derived_cl74, zip_derived_cl40])).
% 0.47/0.76 thf(zip_derived_cl25, plain, ( (difference @ c @ a @ cDa)),
% 0.47/0.76 inference('cnf', [status(esa)], [c_minus_a])).
% 0.47/0.76 thf(zip_derived_cl18, plain,
% 0.47/0.76 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 0.47/0.76 (~ (difference @ X0 @ X1 @ X2)
% 0.47/0.76 | ~ (member @ X3 @ X2)
% 0.47/0.76 | (member @ X3 @ X0))),
% 0.47/0.76 inference('cnf', [status(esa)], [member_of_difference])).
% 0.47/0.76 thf(zip_derived_cl66, plain,
% 0.47/0.76 (![X0 : $i]: ( (member @ X0 @ c) | ~ (member @ X0 @ cDa))),
% 0.47/0.76 inference('dp-resolution', [status(thm)],
% 0.47/0.76 [zip_derived_cl25, zip_derived_cl18])).
% 0.47/0.76 thf(zip_derived_cl96, plain,
% 0.47/0.76 ((~ (member @ (g @ cDa @ cDb @ cD_aIb) @ cDa)
% 0.47/0.76 | (member @ (g @ cDa @ cDb @ cD_aIb) @ aIb))),
% 0.47/0.76 inference('clc', [status(thm)], [zip_derived_cl90, zip_derived_cl66])).
% 0.47/0.76 thf(zip_derived_cl193, plain, (~ (member @ (g @ cDa @ cDb @ cD_aIb) @ aIb)),
% 0.47/0.76 inference('clc', [status(thm)], [zip_derived_cl170, zip_derived_cl54])).
% 0.47/0.76 thf(zip_derived_cl194, plain, (~ (member @ (g @ cDa @ cDb @ cD_aIb) @ cDa)),
% 0.47/0.76 inference('demod', [status(thm)], [zip_derived_cl96, zip_derived_cl193])).
% 0.47/0.76 thf(zip_derived_cl198, plain,
% 0.47/0.76 (( (member @ (g @ cDa @ cDb @ cD_aIb) @ cD_aIb)
% 0.47/0.76 | (member @ (g @ cDa @ cDb @ cD_aIb) @ cDb))),
% 0.47/0.76 inference('demod', [status(thm)], [zip_derived_cl36, zip_derived_cl194])).
% 0.47/0.76 thf(zip_derived_cl195, plain, (~ (member @ (g @ cDa @ cDb @ cD_aIb) @ cDb)),
% 0.47/0.76 inference('demod', [status(thm)], [zip_derived_cl99, zip_derived_cl193])).
% 0.47/0.76 thf(zip_derived_cl203, plain,
% 0.47/0.76 ( (member @ (g @ cDa @ cDb @ cD_aIb) @ cD_aIb)),
% 0.47/0.76 inference('demod', [status(thm)], [zip_derived_cl198, zip_derived_cl195])).
% 0.47/0.76 thf(zip_derived_cl27, plain, ( (difference @ c @ aIb @ cD_aIb)),
% 0.47/0.76 inference('cnf', [status(esa)], [c_minus_aIb])).
% 0.47/0.76 thf(zip_derived_cl18, plain,
% 0.47/0.76 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 0.47/0.76 (~ (difference @ X0 @ X1 @ X2)
% 0.47/0.76 | ~ (member @ X3 @ X2)
% 0.47/0.76 | (member @ X3 @ X0))),
% 0.47/0.76 inference('cnf', [status(esa)], [member_of_difference])).
% 0.47/0.76 thf(zip_derived_cl72, plain,
% 0.47/0.76 (![X0 : $i]: ( (member @ X0 @ c) | ~ (member @ X0 @ cD_aIb))),
% 0.47/0.76 inference('dp-resolution', [status(thm)],
% 0.47/0.76 [zip_derived_cl27, zip_derived_cl18])).
% 0.47/0.76 thf(zip_derived_cl206, plain, ( (member @ (g @ cDa @ cDb @ cD_aIb) @ c)),
% 0.47/0.76 inference('sup-', [status(thm)], [zip_derived_cl203, zip_derived_cl72])).
% 0.47/0.76 thf(zip_derived_cl193, plain, (~ (member @ (g @ cDa @ cDb @ cD_aIb) @ aIb)),
% 0.47/0.76 inference('clc', [status(thm)], [zip_derived_cl170, zip_derived_cl54])).
% 0.47/0.76 thf(zip_derived_cl24, plain, ( (intersection @ a @ b @ aIb)),
% 0.47/0.76 inference('cnf', [status(esa)], [a_intersection_b])).
% 0.47/0.76 thf(member_of_both_is_member_of_intersection, axiom,
% 0.47/0.76 (( ~( intersection @ Set1 @ Set2 @ Intersection ) ) |
% 0.47/0.76 ( ~( member @ Element @ Set2 ) ) | ( ~( member @ Element @ Set1 ) ) |
% 0.47/0.76 ( member @ Element @ Intersection ))).
% 0.47/0.76 thf(zip_derived_cl14, plain,
% 0.47/0.76 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 0.47/0.76 (~ (intersection @ X0 @ X1 @ X2)
% 0.47/0.76 | ~ (member @ X3 @ X1)
% 0.47/0.76 | ~ (member @ X3 @ X0)
% 0.47/0.76 | (member @ X3 @ X2))),
% 0.47/0.76 inference('cnf', [status(esa)],
% 0.47/0.76 [member_of_both_is_member_of_intersection])).
% 0.47/0.76 thf(zip_derived_cl56, plain,
% 0.47/0.76 (![X0 : $i]:
% 0.47/0.76 ( (member @ X0 @ aIb) | ~ (member @ X0 @ a) | ~ (member @ X0 @ b))),
% 0.47/0.76 inference('dp-resolution', [status(thm)],
% 0.47/0.76 [zip_derived_cl24, zip_derived_cl14])).
% 0.47/0.76 thf(zip_derived_cl196, plain,
% 0.47/0.76 ((~ (member @ (g @ cDa @ cDb @ cD_aIb) @ b)
% 0.47/0.76 | ~ (member @ (g @ cDa @ cDb @ cD_aIb) @ a))),
% 0.47/0.76 inference('sup+', [status(thm)], [zip_derived_cl193, zip_derived_cl56])).
% 0.47/0.76 thf(zip_derived_cl194, plain, (~ (member @ (g @ cDa @ cDb @ cD_aIb) @ cDa)),
% 0.47/0.76 inference('demod', [status(thm)], [zip_derived_cl96, zip_derived_cl193])).
% 0.47/0.76 thf(zip_derived_cl25, plain, ( (difference @ c @ a @ cDa)),
% 0.47/0.76 inference('cnf', [status(esa)], [c_minus_a])).
% 0.47/0.76 thf(zip_derived_cl20, plain,
% 0.47/0.76 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 0.47/0.76 (~ (member @ X0 @ X1)
% 0.47/0.76 | ~ (difference @ X1 @ X2 @ X3)
% 0.47/0.76 | (member @ X0 @ X3)
% 0.47/0.76 | (member @ X0 @ X2))),
% 0.47/0.76 inference('cnf', [status(esa)], [member_of_difference_or_set2])).
% 0.47/0.76 thf(zip_derived_cl68, plain,
% 0.47/0.76 (![X0 : $i]:
% 0.47/0.76 ( (member @ X0 @ a) | (member @ X0 @ cDa) | ~ (member @ X0 @ c))),
% 0.47/0.76 inference('dp-resolution', [status(thm)],
% 0.47/0.76 [zip_derived_cl25, zip_derived_cl20])).
% 0.47/0.76 thf(zip_derived_cl199, plain,
% 0.47/0.76 ((~ (member @ (g @ cDa @ cDb @ cD_aIb) @ c)
% 0.47/0.76 | (member @ (g @ cDa @ cDb @ cD_aIb) @ a))),
% 0.47/0.76 inference('sup+', [status(thm)], [zip_derived_cl194, zip_derived_cl68])).
% 0.47/0.76 thf(zip_derived_cl206, plain, ( (member @ (g @ cDa @ cDb @ cD_aIb) @ c)),
% 0.47/0.76 inference('sup-', [status(thm)], [zip_derived_cl203, zip_derived_cl72])).
% 0.47/0.76 thf(zip_derived_cl230, plain, ( (member @ (g @ cDa @ cDb @ cD_aIb) @ a)),
% 0.47/0.76 inference('demod', [status(thm)], [zip_derived_cl199, zip_derived_cl206])).
% 0.47/0.76 thf(zip_derived_cl231, plain, (~ (member @ (g @ cDa @ cDb @ cD_aIb) @ b)),
% 0.47/0.76 inference('demod', [status(thm)], [zip_derived_cl196, zip_derived_cl230])).
% 0.47/0.76 thf(zip_derived_cl245, plain, ($false),
% 0.47/0.76 inference('demod', [status(thm)],
% 0.47/0.76 [zip_derived_cl201, zip_derived_cl206, zip_derived_cl231])).
% 0.47/0.76
% 0.47/0.76 % SZS output end Refutation
% 0.47/0.76
% 0.47/0.76
% 0.47/0.76 % Terminating...
% 1.38/0.79 % Runner terminated.
% 1.38/0.80 % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------