%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : NUM045-1 : TPTP v9.2.0. Bugfixed v2.1.0.
% Transfm : none
% Format : tptp:raw
% Command : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.tvKbbh7lKJ true
% Computer : n026.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 04:45:49 PM UTC 2025
% Result : Unsatisfiable 12.11s 2.50s
% Output : Refutation 12.11s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.13 % Problem : NUM045-1 : TPTP v9.2.0. Bugfixed v2.1.0.
% 0.06/0.14 % Command : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.tvKbbh7lKJ true
% 0.13/0.34 % Computer : n026.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % WCLimit : 300
% 0.13/0.34 % DateTime : Wed Oct 1 16:19:08 EDT 2025
% 0.13/0.34 % CPUTime :
% 0.13/0.34 % Running portfolio for 300 s
% 0.13/0.34 % File : /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.13/0.35 % Number of cores: 8
% 0.13/0.35 % Python version: Python 3.6.8
% 0.13/0.35 % Running in FO mode
% 0.41/0.62 % Total configuration time : 435
% 0.41/0.62 % Estimated wc time : 1092
% 0.41/0.62 % Estimated cpu time (7 cpus) : 156.0
% 0.50/0.72 % /export/starexec/sandbox/solver/bin/fo/fo3_bce.sh running for 75s
% 0.50/0.72 % /export/starexec/sandbox/solver/bin/fo/fo6_bce.sh running for 75s
% 0.50/0.72 % /export/starexec/sandbox/solver/bin/fo/fo1_av.sh running for 75s
% 0.50/0.75 % /export/starexec/sandbox/solver/bin/fo/fo7.sh running for 63s
% 0.51/0.77 % /export/starexec/sandbox/solver/bin/fo/fo13.sh running for 50s
% 0.51/0.77 % /export/starexec/sandbox/solver/bin/fo/fo5.sh running for 50s
% 0.51/0.77 % /export/starexec/sandbox/solver/bin/fo/fo4.sh running for 50s
% 0.51/0.87 % /export/starexec/sandbox/solver/bin/fo/fo1_lcnf.sh running for 50s
% 12.11/2.50 % Solved by fo/fo6_bce.sh.
% 12.11/2.50 % BCE start: 160
% 12.11/2.50 % BCE eliminated: 3
% 12.11/2.50 % PE start: 157
% 12.11/2.50 logic: eq
% 12.11/2.50 % PE eliminated: 27
% 12.11/2.50 % done 804 iterations in 1.723s
% 12.11/2.50 % SZS status Theorem for '/export/starexec/sandbox/benchmark/theBenchmark.p'
% 12.11/2.50 % SZS output start Refutation
% 12.11/2.50 thf(universal_class_type, type, universal_class: $i).
% 12.11/2.50 thf(null_class_type, type, null_class: $i).
% 12.11/2.50 thf(member_type, type, member: $i > $i > $o).
% 12.11/2.50 thf(y_type, type, y: $i).
% 12.11/2.50 thf(complement_type, type, complement: $i > $i).
% 12.11/2.50 thf(identity_relation_type, type, identity_relation: $i).
% 12.11/2.50 thf(x_type, type, x: $i).
% 12.11/2.50 thf(intersection_type, type, intersection: $i > $i > $i).
% 12.11/2.50 thf(subclass_type, type, subclass: $i > $i > $o).
% 12.11/2.50 thf(restrict_type, type, restrict: $i > $i > $i > $i).
% 12.11/2.50 thf(cross_product_type, type, cross_product: $i > $i > $i).
% 12.11/2.50 thf(irreflexive_type, type, irreflexive: $i > $i > $o).
% 12.11/2.50 thf(not_subclass_element_type, type, not_subclass_element: $i > $i > $i).
% 12.11/2.50 thf(regular_type, type, regular: $i > $i).
% 12.11/2.50 thf(not_subclass_members1, axiom,
% 12.11/2.50 (( member @ ( not_subclass_element @ X @ Y ) @ X ) | ( subclass @ X @ Y ))).
% 12.11/2.50 thf(zip_derived_cl1, plain,
% 12.11/2.50 (![X0 : $i, X1 : $i]:
% 12.11/2.50 ( (member @ (not_subclass_element @ X0 @ X1) @ X0)
% 12.11/2.50 | (subclass @ X0 @ X1))),
% 12.11/2.50 inference('cnf', [status(esa)], [not_subclass_members1])).
% 12.11/2.50 thf(intersection2, axiom,
% 12.11/2.50 (( ~( member @ Z @ ( intersection @ X @ Y ) ) ) | ( member @ Z @ Y ))).
% 12.11/2.50 thf(zip_derived_cl21, plain,
% 12.11/2.50 (![X0 : $i, X1 : $i, X2 : $i]:
% 12.11/2.50 (~ (member @ X0 @ (intersection @ X1 @ X2)) | (member @ X0 @ X2))),
% 12.11/2.50 inference('cnf', [status(esa)], [intersection2])).
% 12.11/2.50 thf(zip_derived_cl847, plain,
% 12.11/2.50 (![X0 : $i, X1 : $i, X2 : $i]:
% 12.11/2.50 ( (subclass @ (intersection @ X1 @ X0) @ X2)
% 12.11/2.50 | (member @
% 12.11/2.50 (not_subclass_element @ (intersection @ X1 @ X0) @ X2) @ X0))),
% 12.11/2.50 inference('s_sup-', [status(thm)], [zip_derived_cl1, zip_derived_cl21])).
% 12.11/2.50 thf(zip_derived_cl1, plain,
% 12.11/2.50 (![X0 : $i, X1 : $i]:
% 12.11/2.50 ( (member @ (not_subclass_element @ X0 @ X1) @ X0)
% 12.11/2.50 | (subclass @ X0 @ X1))),
% 12.11/2.50 inference('cnf', [status(esa)], [not_subclass_members1])).
% 12.11/2.50 thf(intersection1, axiom,
% 12.11/2.50 (( ~( member @ Z @ ( intersection @ X @ Y ) ) ) | ( member @ Z @ X ))).
% 12.11/2.50 thf(zip_derived_cl20, plain,
% 12.11/2.50 (![X0 : $i, X1 : $i, X2 : $i]:
% 12.11/2.50 (~ (member @ X0 @ (intersection @ X1 @ X2)) | (member @ X0 @ X1))),
% 12.11/2.50 inference('cnf', [status(esa)], [intersection1])).
% 12.11/2.50 thf(zip_derived_cl830, plain,
% 12.11/2.50 (![X0 : $i, X1 : $i, X2 : $i]:
% 12.11/2.50 ( (subclass @ (intersection @ X1 @ X0) @ X2)
% 12.11/2.50 | (member @
% 12.11/2.50 (not_subclass_element @ (intersection @ X1 @ X0) @ X2) @ X1))),
% 12.11/2.50 inference('s_sup-', [status(thm)], [zip_derived_cl1, zip_derived_cl20])).
% 12.11/2.50 thf(complement2, axiom,
% 12.11/2.50 (( ~( member @ Z @ universal_class ) ) |
% 12.11/2.50 ( member @ Z @ ( complement @ X ) ) | ( member @ Z @ X ))).
% 12.11/2.50 thf(zip_derived_cl24, plain,
% 12.11/2.50 (![X0 : $i, X1 : $i]:
% 12.11/2.50 (~ (member @ X0 @ universal_class)
% 12.11/2.50 | (member @ X0 @ (complement @ X1))
% 12.11/2.50 | (member @ X0 @ X1))),
% 12.11/2.50 inference('cnf', [status(esa)], [complement2])).
% 12.11/2.50 thf(not_subclass_members2, axiom,
% 12.11/2.50 (( ~( member @ ( not_subclass_element @ X @ Y ) @ Y ) ) |
% 12.11/2.50 ( subclass @ X @ Y ))).
% 12.11/2.50 thf(zip_derived_cl2, plain,
% 12.11/2.50 (![X0 : $i, X1 : $i]:
% 12.11/2.50 (~ (member @ (not_subclass_element @ X0 @ X1) @ X1)
% 12.11/2.50 | (subclass @ X0 @ X1))),
% 12.11/2.50 inference('cnf', [status(esa)], [not_subclass_members2])).
% 12.11/2.50 thf(zip_derived_cl881, plain,
% 12.11/2.50 (![X0 : $i, X1 : $i]:
% 12.11/2.50 ( (member @ (not_subclass_element @ X1 @ (complement @ X0)) @ X0)
% 12.11/2.50 | ~ (member @ (not_subclass_element @ X1 @ (complement @ X0)) @
% 12.11/2.50 universal_class)
% 12.11/2.50 | (subclass @ X1 @ (complement @ X0)))),
% 12.11/2.50 inference('s_sup-', [status(thm)], [zip_derived_cl24, zip_derived_cl2])).
% 12.11/2.50 thf(zip_derived_cl1, plain,
% 12.11/2.50 (![X0 : $i, X1 : $i]:
% 12.11/2.50 ( (member @ (not_subclass_element @ X0 @ X1) @ X0)
% 12.11/2.50 | (subclass @ X0 @ X1))),
% 12.11/2.50 inference('cnf', [status(esa)], [not_subclass_members1])).
% 12.11/2.50 thf(class_elements_are_sets, axiom, (subclass @ X @ universal_class)).
% 12.11/2.50 thf(zip_derived_cl3, plain, (![X0 : $i]: (subclass @ X0 @ universal_class)),
% 12.11/2.50 inference('cnf', [status(esa)], [class_elements_are_sets])).
% 12.11/2.50 thf(subclass_members, axiom,
% 12.11/2.50 (( ~( subclass @ X @ Y ) ) | ( ~( member @ U @ X ) ) | ( member @ U @ Y ))).
% 12.11/2.50 thf(zip_derived_cl0, plain,
% 12.11/2.50 (![X0 : $i, X1 : $i, X2 : $i]:
% 12.11/2.50 (~ (subclass @ X0 @ X1) | ~ (member @ X2 @ X0) | (member @ X2 @ X1))),
% 12.11/2.50 inference('cnf', [status(esa)], [subclass_members])).
% 12.11/2.50 thf(zip_derived_cl743, plain,
% 12.11/2.50 (![X0 : $i, X1 : $i]:
% 12.11/2.50 (~ (member @ X1 @ X0) | (member @ X1 @ universal_class))),
% 12.11/2.50 inference('s_sup-', [status(thm)], [zip_derived_cl3, zip_derived_cl0])).
% 12.11/2.50 thf(zip_derived_cl744, plain,
% 12.11/2.50 (![X0 : $i, X1 : $i]:
% 12.11/2.50 ( (subclass @ X0 @ X1)
% 12.11/2.50 | (member @ (not_subclass_element @ X0 @ X1) @ universal_class))),
% 12.11/2.50 inference('s_sup-', [status(thm)], [zip_derived_cl1, zip_derived_cl743])).
% 12.11/2.50 thf(zip_derived_cl2953, plain,
% 12.11/2.50 (![X0 : $i, X1 : $i]:
% 12.11/2.50 ( (subclass @ X1 @ (complement @ X0))
% 12.11/2.50 | (member @ (not_subclass_element @ X1 @ (complement @ X0)) @ X0))),
% 12.11/2.50 inference('clc', [status(thm)], [zip_derived_cl881, zip_derived_cl744])).
% 12.11/2.50 thf(intersection3, axiom,
% 12.11/2.50 (( ~( member @ Z @ X ) ) | ( ~( member @ Z @ Y ) ) |
% 12.11/2.50 ( member @ Z @ ( intersection @ X @ Y ) ))).
% 12.11/2.50 thf(zip_derived_cl22, plain,
% 12.11/2.50 (![X0 : $i, X1 : $i, X2 : $i]:
% 12.11/2.50 (~ (member @ X0 @ X1)
% 12.11/2.50 | ~ (member @ X0 @ X2)
% 12.11/2.50 | (member @ X0 @ (intersection @ X1 @ X2)))),
% 12.11/2.50 inference('cnf', [status(esa)], [intersection3])).
% 12.11/2.50 thf(prove_irreflexive_class_property7_1, conjecture,
% 12.11/2.50 (( restrict @ ( intersection @ x @ identity_relation ) @ y @ y ) !=
% 12.11/2.50 ( null_class ))).
% 12.11/2.50 thf(zf_stmt_0, negated_conjecture,
% 12.11/2.50 (( restrict @ ( intersection @ x @ identity_relation ) @ y @ y ) =
% 12.11/2.50 ( null_class )),
% 12.11/2.50 inference('cnf.neg', [status(esa)], [prove_irreflexive_class_property7_1])).
% 12.11/2.50 thf(zip_derived_cl158, plain,
% 12.11/2.50 (((restrict @ (intersection @ x @ identity_relation) @ y @ y)
% 12.11/2.50 = (null_class))),
% 12.11/2.50 inference('cnf', [status(esa)], [zf_stmt_0])).
% 12.11/2.50 thf(restriction1, axiom,
% 12.11/2.50 (( intersection @ Xr @ ( cross_product @ X @ Y ) ) =
% 12.11/2.50 ( restrict @ Xr @ X @ Y ))).
% 12.11/2.50 thf(zip_derived_cl27, plain,
% 12.11/2.50 (![X0 : $i, X1 : $i, X2 : $i]:
% 12.11/2.50 ((intersection @ X0 @ (cross_product @ X1 @ X2))
% 12.11/2.50 = (restrict @ X0 @ X1 @ X2))),
% 12.11/2.50 inference('cnf', [status(esa)], [restriction1])).
% 12.11/2.50 thf(zip_derived_cl22, plain,
% 12.11/2.50 (![X0 : $i, X1 : $i, X2 : $i]:
% 12.11/2.50 (~ (member @ X0 @ X1)
% 12.11/2.50 | ~ (member @ X0 @ X2)
% 12.11/2.50 | (member @ X0 @ (intersection @ X1 @ X2)))),
% 12.11/2.50 inference('cnf', [status(esa)], [intersection3])).
% 12.11/2.50 thf(zip_derived_cl938, plain,
% 12.11/2.50 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 12.11/2.50 (~ (member @ X3 @ X2)
% 12.11/2.50 | ~ (member @ X3 @ (cross_product @ X1 @ X0))
% 12.11/2.50 | (member @ X3 @ (restrict @ X2 @ X1 @ X0)))),
% 12.11/2.50 inference('s_sup+', [status(thm)], [zip_derived_cl27, zip_derived_cl22])).
% 12.11/2.50 thf(zip_derived_cl3823, plain,
% 12.11/2.50 (![X0 : $i]:
% 12.11/2.50 (~ (member @ X0 @ (intersection @ x @ identity_relation))
% 12.11/2.50 | ~ (member @ X0 @ (cross_product @ y @ y))
% 12.11/2.50 | (member @ X0 @ null_class))),
% 12.11/2.50 inference('s_sup+', [status(thm)], [zip_derived_cl158, zip_derived_cl938])).
% 12.11/2.50 thf(regularity1, axiom,
% 12.11/2.50 (( ( X ) = ( null_class ) ) | ( member @ ( regular @ X ) @ X ))).
% 12.11/2.50 thf(zip_derived_cl65, plain,
% 12.11/2.50 (![X0 : $i]: (((X0) = (null_class)) | (member @ (regular @ X0) @ X0))),
% 12.11/2.50 inference('cnf', [status(esa)], [regularity1])).
% 12.11/2.50 thf(zip_derived_cl743, plain,
% 12.11/2.50 (![X0 : $i, X1 : $i]:
% 12.11/2.50 (~ (member @ X1 @ X0) | (member @ X1 @ universal_class))),
% 12.11/2.50 inference('s_sup-', [status(thm)], [zip_derived_cl3, zip_derived_cl0])).
% 12.11/2.50 thf(zip_derived_cl793, plain,
% 12.11/2.50 (![X0 : $i]:
% 12.11/2.50 (((X0) = (null_class)) | (member @ (regular @ X0) @ universal_class))),
% 12.11/2.50 inference('s_sup-', [status(thm)], [zip_derived_cl65, zip_derived_cl743])).
% 12.11/2.50 thf(zip_derived_cl65, plain,
% 12.11/2.50 (![X0 : $i]: (((X0) = (null_class)) | (member @ (regular @ X0) @ X0))),
% 12.11/2.50 inference('cnf', [status(esa)], [regularity1])).
% 12.11/2.50 thf(complement1, axiom,
% 12.11/2.50 (( ~( member @ Z @ ( complement @ X ) ) ) | ( ~( member @ Z @ X ) ))).
% 12.11/2.50 thf(zip_derived_cl23, plain,
% 12.11/2.50 (![X0 : $i, X1 : $i]:
% 12.11/2.50 (~ (member @ X0 @ (complement @ X1)) | ~ (member @ X0 @ X1))),
% 12.11/2.50 inference('cnf', [status(esa)], [complement1])).
% 12.11/2.50 thf(zip_derived_cl796, plain,
% 12.11/2.50 (![X0 : $i]:
% 12.11/2.50 (((complement @ X0) = (null_class))
% 12.11/2.50 | ~ (member @ (regular @ (complement @ X0)) @ X0))),
% 12.11/2.50 inference('s_sup-', [status(thm)], [zip_derived_cl65, zip_derived_cl23])).
% 12.11/2.50 thf(zip_derived_cl839, plain,
% 12.11/2.50 ((((complement @ universal_class) = (null_class))
% 12.11/2.50 | ((complement @ universal_class) = (null_class)))),
% 12.11/2.50 inference('s_sup-', [status(thm)], [zip_derived_cl793, zip_derived_cl796])).
% 12.11/2.50 thf(zip_derived_cl840, plain,
% 12.11/2.50 (((complement @ universal_class) = (null_class))),
% 12.11/2.50 inference('simplify', [status(thm)], [zip_derived_cl839])).
% 12.11/2.50 thf(zip_derived_cl23, plain,
% 12.11/2.50 (![X0 : $i, X1 : $i]:
% 12.11/2.50 (~ (member @ X0 @ (complement @ X1)) | ~ (member @ X0 @ X1))),
% 12.11/2.50 inference('cnf', [status(esa)], [complement1])).
% 12.11/2.50 thf(zip_derived_cl841, plain,
% 12.11/2.50 (![X0 : $i]:
% 12.11/2.50 (~ (member @ X0 @ null_class) | ~ (member @ X0 @ universal_class))),
% 12.11/2.50 inference('s_sup-', [status(thm)], [zip_derived_cl840, zip_derived_cl23])).
% 12.11/2.50 thf(zip_derived_cl743, plain,
% 12.11/2.50 (![X0 : $i, X1 : $i]:
% 12.11/2.50 (~ (member @ X1 @ X0) | (member @ X1 @ universal_class))),
% 12.11/2.50 inference('s_sup-', [status(thm)], [zip_derived_cl3, zip_derived_cl0])).
% 12.11/2.50 thf(zip_derived_cl844, plain, (![X0 : $i]: ~ (member @ X0 @ null_class)),
% 12.11/2.50 inference('clc', [status(thm)], [zip_derived_cl841, zip_derived_cl743])).
% 12.11/2.50 thf(zip_derived_cl3827, plain,
% 12.11/2.50 (![X0 : $i]:
% 12.11/2.50 (~ (member @ X0 @ (intersection @ x @ identity_relation))
% 12.11/2.50 | ~ (member @ X0 @ (cross_product @ y @ y)))),
% 12.11/2.50 inference('demod', [status(thm)], [zip_derived_cl3823, zip_derived_cl844])).
% 12.11/2.50 thf(zip_derived_cl3829, plain,
% 12.11/2.50 (![X0 : $i]:
% 12.11/2.50 (~ (member @ X0 @ identity_relation)
% 12.11/2.50 | ~ (member @ X0 @ x)
% 12.11/2.50 | ~ (member @ X0 @ (cross_product @ y @ y)))),
% 12.11/2.50 inference('s_sup-', [status(thm)], [zip_derived_cl22, zip_derived_cl3827])).
% 12.11/2.50 thf(zip_derived_cl3841, plain,
% 12.11/2.50 (![X0 : $i]:
% 12.11/2.50 ( (subclass @ X0 @ (complement @ identity_relation))
% 12.11/2.50 | ~ (member @
% 12.11/2.50 (not_subclass_element @ X0 @ (complement @ identity_relation)) @
% 12.11/2.50 x)
% 12.11/2.50 | ~ (member @
% 12.11/2.50 (not_subclass_element @ X0 @ (complement @ identity_relation)) @
% 12.11/2.50 (cross_product @ y @ y)))),
% 12.11/2.50 inference('s_sup-', [status(thm)],
% 12.11/2.50 [zip_derived_cl2953, zip_derived_cl3829])).
% 12.11/2.50 thf(zip_derived_cl4026, plain,
% 12.11/2.50 (![X0 : $i]:
% 12.11/2.50 ( (subclass @ (intersection @ x @ X0) @
% 12.11/2.50 (complement @ identity_relation))
% 12.11/2.50 | (subclass @ (intersection @ x @ X0) @
% 12.11/2.50 (complement @ identity_relation))
% 12.11/2.50 | ~ (member @
% 12.11/2.50 (not_subclass_element @ (intersection @ x @ X0) @
% 12.11/2.50 (complement @ identity_relation)) @
% 12.11/2.50 (cross_product @ y @ y)))),
% 12.11/2.50 inference('s_sup-', [status(thm)],
% 12.11/2.50 [zip_derived_cl830, zip_derived_cl3841])).
% 12.11/2.50 thf(zip_derived_cl4033, plain,
% 12.11/2.50 (![X0 : $i]:
% 12.11/2.50 (~ (member @
% 12.11/2.50 (not_subclass_element @ (intersection @ x @ X0) @
% 12.11/2.50 (complement @ identity_relation)) @
% 12.11/2.50 (cross_product @ y @ y))
% 12.11/2.50 | (subclass @ (intersection @ x @ X0) @
% 12.11/2.50 (complement @ identity_relation)))),
% 12.11/2.50 inference('simplify', [status(thm)], [zip_derived_cl4026])).
% 12.11/2.50 thf(zip_derived_cl4684, plain,
% 12.11/2.50 (( (subclass @ (intersection @ x @ (cross_product @ y @ y)) @
% 12.11/2.50 (complement @ identity_relation))
% 12.11/2.50 | (subclass @ (intersection @ x @ (cross_product @ y @ y)) @
% 12.11/2.50 (complement @ identity_relation)))),
% 12.11/2.50 inference('s_sup-', [status(thm)],
% 12.11/2.50 [zip_derived_cl847, zip_derived_cl4033])).
% 12.11/2.50 thf(zip_derived_cl27, plain,
% 12.11/2.50 (![X0 : $i, X1 : $i, X2 : $i]:
% 12.11/2.50 ((intersection @ X0 @ (cross_product @ X1 @ X2))
% 12.11/2.50 = (restrict @ X0 @ X1 @ X2))),
% 12.11/2.50 inference('cnf', [status(esa)], [restriction1])).
% 12.11/2.50 thf(irreflexive2, axiom,
% 12.11/2.50 (( ~( subclass @
% 12.11/2.50 ( restrict @ X @ Y @ Y ) @ ( complement @ identity_relation ) ) ) |
% 12.11/2.50 ( irreflexive @ X @ Y ))).
% 12.11/2.50 thf(zip_derived_cl114, plain,
% 12.11/2.50 (![X0 : $i, X1 : $i]:
% 12.11/2.50 (~ (subclass @ (restrict @ X0 @ X1 @ X1) @
% 12.11/2.50 (complement @ identity_relation))
% 12.11/2.50 | (irreflexive @ X0 @ X1))),
% 12.11/2.50 inference('cnf', [status(esa)], [irreflexive2])).
% 12.11/2.50 thf(prove_irreflexive_class_property7_2, conjecture, (irreflexive @ x @ y)).
% 12.11/2.50 thf(zf_stmt_1, negated_conjecture, (~( irreflexive @ x @ y )),
% 12.11/2.50 inference('cnf.neg', [status(esa)], [prove_irreflexive_class_property7_2])).
% 12.11/2.50 thf(zip_derived_cl159, plain, (~ (irreflexive @ x @ y)),
% 12.11/2.50 inference('cnf', [status(esa)], [zf_stmt_1])).
% 12.11/2.50 thf(zip_derived_cl686, plain,
% 12.11/2.50 (~ (subclass @ (restrict @ x @ y @ y) @ (complement @ identity_relation))),
% 12.11/2.50 inference('dp-resolution', [status(thm)],
% 12.11/2.50 [zip_derived_cl114, zip_derived_cl159])).
% 12.11/2.50 thf(zip_derived_cl27, plain,
% 12.11/2.50 (![X0 : $i, X1 : $i, X2 : $i]:
% 12.11/2.50 ((intersection @ X0 @ (cross_product @ X1 @ X2))
% 12.11/2.50 = (restrict @ X0 @ X1 @ X2))),
% 12.11/2.50 inference('cnf', [status(esa)], [restriction1])).
% 12.11/2.50 thf(zip_derived_cl686, plain,
% 12.11/2.50 (~ (subclass @ (restrict @ x @ y @ y) @ (complement @ identity_relation))),
% 12.11/2.50 inference('dp-resolution', [status(thm)],
% 12.11/2.50 [zip_derived_cl114, zip_derived_cl159])).
% 12.11/2.50 thf(zip_derived_cl4689, plain, ($false),
% 12.11/2.50 inference('demod', [status(thm)],
% 12.11/2.50 [zip_derived_cl4684, zip_derived_cl27, zip_derived_cl686,
% 12.11/2.50 zip_derived_cl27, zip_derived_cl686])).
% 12.11/2.50
% 12.11/2.50 % SZS output end Refutation
% 12.11/2.50
% 12.11/2.50
% 12.11/2.50 % Terminating...
% 12.47/2.59 % Runner terminated.
% 12.47/2.62 % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------