%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : SEV621+1 : TPTP v9.3.0. Released v9.3.0.
% Transfm : none
% Format : tptp:raw
% Command : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.n0Ht6LhElk true
% Computer : n001.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 : Tue May 5 06:56:15 PM UTC 2026
% Result : Theorem 243.09s 41.20s
% Output : Refutation 243.09s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : SEV621+1 : TPTP v9.3.0. Released v9.3.0.
% 0.12/0.13 % Command : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.n0Ht6LhElk true
% 0.18/0.34 % Computer : n001.cluster.edu
% 0.18/0.34 % Model : x86_64 x86_64
% 0.18/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.18/0.34 % Memory : 8042.1875MB
% 0.18/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.18/0.34 % CPULimit : 300
% 0.18/0.34 % WCLimit : 300
% 0.18/0.34 % DateTime : Tue May 5 06:04:03 EDT 2026
% 0.18/0.34 % CPUTime :
% 0.18/0.34 % Running portfolio for 300 s
% 0.18/0.34 % File : /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.18/0.35 % Number of cores: 8
% 0.18/0.35 % Python version: Python 3.6.8
% 0.18/0.35 % Running in FO mode
% 0.48/0.62 % Total configuration time : 435
% 0.48/0.62 % Estimated wc time : 1092
% 0.48/0.62 % Estimated cpu time (7 cpus) : 156.0
% 0.54/0.68 % /export/starexec/sandbox/solver/bin/fo/fo6_bce.sh running for 75s
% 0.54/0.69 % /export/starexec/sandbox/solver/bin/fo/fo3_bce.sh running for 75s
% 0.54/0.73 % /export/starexec/sandbox/solver/bin/fo/fo1_av.sh running for 75s
% 0.54/0.73 % /export/starexec/sandbox/solver/bin/fo/fo13.sh running for 50s
% 0.54/0.74 % /export/starexec/sandbox/solver/bin/fo/fo7.sh running for 63s
% 0.54/0.74 % /export/starexec/sandbox/solver/bin/fo/fo5.sh running for 50s
% 0.54/0.74 % /export/starexec/sandbox/solver/bin/fo/fo4.sh running for 50s
% 0.55/1.02 % /export/starexec/sandbox/solver/bin/fo/fo1_lcnf.sh running for 50s
% 243.09/41.20 % Solved by fo/fo3_bce.sh.
% 243.09/41.20 % BCE start: 558
% 243.09/41.20 % BCE eliminated: 17
% 243.09/41.20 % PE start: 541
% 243.09/41.20 logic: eq
% 243.09/41.20 % PE eliminated: 37
% 243.09/41.20 % done 6129 iterations in 40.487s
% 243.09/41.20 % SZS status Theorem for '/export/starexec/sandbox/benchmark/theBenchmark.p'
% 243.09/41.20 % SZS output start Refutation
% 243.09/41.20 thf(chahn_2eHahnRelationsBasic_2erestr__rel___24a3_type, type, chahn_2eHahnRelationsBasic_2erestr__rel___24a3:
% 243.09/41.20 $i > $i > $i > $i).
% 243.09/41.20 thf(cf_type, type, cf: $i).
% 243.09/41.20 thf(cr_27_type, type, cr_27: $i).
% 243.09/41.20 thf(cType___24t_type, type, cType___24t: $i > $o).
% 243.09/41.20 thf(cCoq_2eRelations_2eRelation__Definitions_2einclusion___24a3_type, type,
% 243.09/41.20 cCoq_2eRelations_2eRelation__Definitions_2einclusion___24a3: $i > $i > $i > $o).
% 243.09/41.20 thf(cCoq_2eRelations_2eRelation__Definitions_2esame__relation___24a3_type, type,
% 243.09/41.20 cCoq_2eRelations_2eRelation__Definitions_2esame__relation___24a3:
% 243.09/41.20 $i > $i > $i > $o).
% 243.09/41.20 thf(cA_type, type, cA: $i).
% 243.09/41.20 thf(cCoq_2eRelations_2eRelation__Definitions_2erelation___24t_type, type,
% 243.09/41.20 cCoq_2eRelations_2eRelation__Definitions_2erelation___24t: $i > $i > $o).
% 243.09/41.20 thf(c_24__type__35798___24t_type, type, c_24__type__35798___24t: $i > $o).
% 243.09/41.20 thf(happ_type, type, happ: $i > $i > $i).
% 243.09/41.20 thf(cCoq_2eRelations_2eRelation__Operators_2eunion___24a3_type, type,
% 243.09/41.20 cCoq_2eRelations_2eRelation__Operators_2eunion___24a3: $i > $i > $i > $i).
% 243.09/41.20 thf(cr_type, type, cr: $i).
% 243.09/41.20 thf(cProp___24t_type, type, cProp___24t: $i > $o).
% 243.09/41.20 thf(cA___24t_type, type, cA___24t: $i > $o).
% 243.09/41.20 thf(sk__15_type, type, sk__15: $i > $i > $i).
% 243.09/41.20 thf(t_type, type, t: $i > $i > $o).
% 243.09/41.20 thf(c_24__type__1892___24t_type, type, c_24__type__1892___24t: $i > $i > $o).
% 243.09/41.20 thf('$_type_1892', axiom,
% 243.09/41.20 (![Vv__CANONICAL__0:$i,Vvar__1893:$i]:
% 243.09/41.20 ( ( c_24__type__1892___24t @ Vv__CANONICAL__0 @ Vvar__1893 ) <=>
% 243.09/41.20 ( ![Vv__CANONICAL__1:$i]:
% 243.09/41.20 ( ( t @ Vv__CANONICAL__1 @ Vv__CANONICAL__0 ) =>
% 243.09/41.20 ( cProp___24t @ ( happ @ Vvar__1893 @ Vv__CANONICAL__1 ) ) ) ) ))).
% 243.09/41.20 thf(zip_derived_cl53, plain,
% 243.09/41.20 (![X0 : $i, X1 : $i]:
% 243.09/41.20 ( (c_24__type__1892___24t @ X0 @ X1) | (t @ (sk__15 @ X1 @ X0) @ X0))),
% 243.09/41.20 inference('cnf', [status(esa)], [$_type_1892])).
% 243.09/41.20 thf('$tdef_A', axiom,
% 243.09/41.20 (![V_24Y:$i]: ( ( cA___24t @ V_24Y ) <=> ( t @ V_24Y @ cA ) ))).
% 243.09/41.20 thf(zip_derived_cl554, plain,
% 243.09/41.20 (![X0 : $i]: ( (cA___24t @ X0) | ~ (t @ X0 @ cA))),
% 243.09/41.20 inference('cnf', [status(esa)], [$tdef_A])).
% 243.09/41.20 thf('$_type_35798', axiom,
% 243.09/41.20 (![Vvar__35799:$i]:
% 243.09/41.20 ( ( c_24__type__35798___24t @ Vvar__35799 ) <=>
% 243.09/41.20 ( ![Vv__CANONICAL__0:$i]:
% 243.09/41.20 ( ( cA___24t @ Vv__CANONICAL__0 ) =>
% 243.09/41.20 ( cProp___24t @ ( happ @ Vvar__35799 @ Vv__CANONICAL__0 ) ) ) ) ))).
% 243.09/41.20 thf(zip_derived_cl54, plain,
% 243.09/41.20 (![X0 : $i, X1 : $i]:
% 243.09/41.20 (~ (cA___24t @ X0)
% 243.09/41.20 | (cProp___24t @ (happ @ X1 @ X0))
% 243.09/41.20 | ~ (c_24__type__35798___24t @ X1))),
% 243.09/41.20 inference('cnf', [status(esa)], [$_type_35798])).
% 243.09/41.20 thf(zip_derived_cl4560, plain,
% 243.09/41.20 (![X0 : $i, X1 : $i]:
% 243.09/41.20 (~ (t @ X0 @ cA)
% 243.09/41.20 | ~ (c_24__type__35798___24t @ X1)
% 243.09/41.20 | (cProp___24t @ (happ @ X1 @ X0)))),
% 243.09/41.20 inference('dp-resolution', [status(thm)],
% 243.09/41.20 [zip_derived_cl554, zip_derived_cl54])).
% 243.09/41.20 thf(zip_derived_cl52, plain,
% 243.09/41.20 (![X0 : $i, X1 : $i]:
% 243.09/41.20 ( (c_24__type__1892___24t @ X0 @ X1)
% 243.09/41.20 | ~ (cProp___24t @ (happ @ X1 @ (sk__15 @ X1 @ X0))))),
% 243.09/41.20 inference('cnf', [status(esa)], [$_type_1892])).
% 243.09/41.20 thf(zip_derived_cl4658, plain,
% 243.09/41.20 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 243.09/41.20 (((happ @ X1 @ X0) != (happ @ X2 @ (sk__15 @ X2 @ X3)))
% 243.09/41.20 | ~ (c_24__type__35798___24t @ X1)
% 243.09/41.20 | ~ (t @ X0 @ cA)
% 243.09/41.20 | (c_24__type__1892___24t @ X3 @ X2))),
% 243.09/41.20 inference('dp-resolution', [status(thm)],
% 243.09/41.20 [zip_derived_cl4560, zip_derived_cl52])).
% 243.09/41.20 thf(zip_derived_cl7272, plain,
% 243.09/41.20 (![X0 : $i, X1 : $i]:
% 243.09/41.20 ( (c_24__type__1892___24t @ X1 @ X0)
% 243.09/41.20 | ~ (t @ (sk__15 @ X0 @ X1) @ cA)
% 243.09/41.20 | ~ (c_24__type__35798___24t @ X0))),
% 243.09/41.20 inference('eq_res', [status(thm)], [zip_derived_cl4658])).
% 243.09/41.20 thf(zip_derived_cl7276, plain,
% 243.09/41.20 (![X0 : $i]:
% 243.09/41.20 ( (c_24__type__1892___24t @ cA @ X0)
% 243.09/41.20 | ~ (c_24__type__35798___24t @ X0)
% 243.09/41.20 | (c_24__type__1892___24t @ cA @ X0))),
% 243.09/41.20 inference('sup-', [status(thm)], [zip_derived_cl53, zip_derived_cl7272])).
% 243.09/41.20 thf(zip_derived_cl7277, plain,
% 243.09/41.20 (![X0 : $i]:
% 243.09/41.20 (~ (c_24__type__35798___24t @ X0)
% 243.09/41.20 | (c_24__type__1892___24t @ cA @ X0))),
% 243.09/41.20 inference('simplify', [status(thm)], [zip_derived_cl7276])).
% 243.09/41.20 thf('$_def_Coq.Relations.Relation_Definitions.same_relation', axiom,
% 243.09/41.20 (![V0__A:$i,V1__R1:$i,V2__R2:$i]:
% 243.09/41.20 ( ( cCoq_2eRelations_2eRelation__Definitions_2esame__relation___24a3 @
% 243.09/41.20 V0__A @ V1__R1 @ V2__R2 ) <=>
% 243.09/41.20 ( ( cCoq_2eRelations_2eRelation__Definitions_2einclusion___24a3 @
% 243.09/41.20 V0__A @ V1__R1 @ V2__R2 ) &
% 243.09/41.20 ( cCoq_2eRelations_2eRelation__Definitions_2einclusion___24a3 @
% 243.09/41.20 V0__A @ V2__R2 @ V1__R1 ) ) ))).
% 243.09/41.20 thf(zip_derived_cl10, plain,
% 243.09/41.20 (![X0 : $i, X1 : $i, X2 : $i]:
% 243.09/41.20 ( (cCoq_2eRelations_2eRelation__Definitions_2esame__relation___24a3 @
% 243.09/41.20 X0 @ X1 @ X2)
% 243.09/41.20 | ~ (cCoq_2eRelations_2eRelation__Definitions_2einclusion___24a3 @
% 243.09/41.20 X0 @ X2 @ X1)
% 243.09/41.20 | ~ (cCoq_2eRelations_2eRelation__Definitions_2einclusion___24a3 @
% 243.09/41.20 X0 @ X1 @ X2))),
% 243.09/41.20 inference('cnf', [status(esa)],
% 243.09/41.20 [$_def_Coq.Relations.Relation_Definitions.same_relation])).
% 243.09/41.20 thf('_HAMMER_GOAL', conjecture,
% 243.09/41.20 (cCoq_2eRelations_2eRelation__Definitions_2esame__relation___24a3 @
% 243.09/41.20 cA @
% 243.09/41.20 ( cCoq_2eRelations_2eRelation__Operators_2eunion___24a3 @
% 243.09/41.20 cA @
% 243.09/41.20 ( chahn_2eHahnRelationsBasic_2erestr__rel___24a3 @ cA @ cf @ cr ) @
% 243.09/41.20 ( chahn_2eHahnRelationsBasic_2erestr__rel___24a3 @ cA @ cf @ cr_27 ) ) @
% 243.09/41.20 ( chahn_2eHahnRelationsBasic_2erestr__rel___24a3 @
% 243.09/41.20 cA @ cf @
% 243.09/41.20 ( cCoq_2eRelations_2eRelation__Operators_2eunion___24a3 @
% 243.09/41.20 cA @ cr @ cr_27 ) ))).
% 243.09/41.20 thf(zf_stmt_0, negated_conjecture,
% 243.09/41.20 (~( cCoq_2eRelations_2eRelation__Definitions_2esame__relation___24a3 @
% 243.09/41.20 cA @
% 243.09/41.20 ( cCoq_2eRelations_2eRelation__Operators_2eunion___24a3 @
% 243.09/41.20 cA @
% 243.09/41.20 ( chahn_2eHahnRelationsBasic_2erestr__rel___24a3 @ cA @ cf @ cr ) @
% 243.09/41.20 ( chahn_2eHahnRelationsBasic_2erestr__rel___24a3 @ cA @ cf @ cr_27 ) ) @
% 243.09/41.20 ( chahn_2eHahnRelationsBasic_2erestr__rel___24a3 @
% 243.09/41.21 cA @ cf @
% 243.09/41.21 ( cCoq_2eRelations_2eRelation__Operators_2eunion___24a3 @
% 243.09/41.21 cA @ cr @ cr_27 ) ) )),
% 243.09/41.21 inference('cnf.neg', [status(esa)], [_HAMMER_GOAL])).
% 243.09/41.21 thf(zip_derived_cl557, plain,
% 243.09/41.21 (~ (cCoq_2eRelations_2eRelation__Definitions_2esame__relation___24a3 @
% 243.09/41.21 cA @
% 243.09/41.21 (cCoq_2eRelations_2eRelation__Operators_2eunion___24a3 @ cA @
% 243.09/41.21 (chahn_2eHahnRelationsBasic_2erestr__rel___24a3 @ cA @ cf @ cr) @
% 243.09/41.21 (chahn_2eHahnRelationsBasic_2erestr__rel___24a3 @ cA @ cf @ cr_27)) @
% 243.09/41.21 (chahn_2eHahnRelationsBasic_2erestr__rel___24a3 @ cA @ cf @
% 243.09/41.21 (cCoq_2eRelations_2eRelation__Operators_2eunion___24a3 @ cA @ cr @
% 243.09/41.21 cr_27)))),
% 243.09/41.21 inference('cnf', [status(esa)], [zf_stmt_0])).
% 243.09/41.21 thf(zip_derived_cl7006, plain,
% 243.09/41.21 ((~ (cCoq_2eRelations_2eRelation__Definitions_2einclusion___24a3 @ cA @
% 243.09/41.21 (cCoq_2eRelations_2eRelation__Operators_2eunion___24a3 @ cA @
% 243.09/41.21 (chahn_2eHahnRelationsBasic_2erestr__rel___24a3 @ cA @ cf @ cr) @
% 243.09/41.21 (chahn_2eHahnRelationsBasic_2erestr__rel___24a3 @ cA @ cf @ cr_27)) @
% 243.09/41.21 (chahn_2eHahnRelationsBasic_2erestr__rel___24a3 @ cA @ cf @
% 243.09/41.21 (cCoq_2eRelations_2eRelation__Operators_2eunion___24a3 @ cA @ cr @
% 243.09/41.21 cr_27)))
% 243.09/41.21 | ~ (cCoq_2eRelations_2eRelation__Definitions_2einclusion___24a3 @
% 243.09/41.21 cA @
% 243.09/41.21 (chahn_2eHahnRelationsBasic_2erestr__rel___24a3 @ cA @ cf @
% 243.09/41.21 (cCoq_2eRelations_2eRelation__Operators_2eunion___24a3 @ cA @
% 243.09/41.21 cr @ cr_27)) @
% 243.09/41.21 (cCoq_2eRelations_2eRelation__Operators_2eunion___24a3 @ cA @
% 243.09/41.21 (chahn_2eHahnRelationsBasic_2erestr__rel___24a3 @ cA @ cf @ cr) @
% 243.09/41.21 (chahn_2eHahnRelationsBasic_2erestr__rel___24a3 @ cA @ cf @ cr_27))))),
% 243.09/41.21 inference('sup-', [status(thm)], [zip_derived_cl10, zip_derived_cl557])).
% 243.09/41.21 thf('$_typeof_A', axiom, (cType___24t @ cA)).
% 243.09/41.21 thf(zip_derived_cl57, plain, ( (cType___24t @ cA)),
% 243.09/41.21 inference('cnf', [status(esa)], [$_typeof_A])).
% 243.09/41.21 thf(HahnEquational.restr_union, axiom,
% 243.09/41.21 (![V0__A:$i]:
% 243.09/41.21 ( ( cType___24t @ V0__A ) =>
% 243.09/41.21 ( ![V1__f:$i]:
% 243.09/41.21 ( ( c_24__type__1892___24t @ V0__A @ V1__f ) =>
% 243.09/41.21 ( ![V2__r:$i]:
% 243.09/41.21 ( ( cCoq_2eRelations_2eRelation__Definitions_2erelation___24t @
% 243.09/41.21 V0__A @ V2__r ) =>
% 243.09/41.21 ( ![V3__r_27:$i]:
% 243.09/41.21 ( ( cCoq_2eRelations_2eRelation__Definitions_2erelation___24t
% 243.09/41.21 @ V0__A @ V3__r_27 ) =>
% 243.09/41.21 ( cCoq_2eRelations_2eRelation__Definitions_2esame__relation___24a3
% 243.09/41.21 @
% 243.09/41.21 V0__A @
% 243.09/41.21 ( chahn_2eHahnRelationsBasic_2erestr__rel___24a3 @
% 243.09/41.21 V0__A @ V1__f @
% 243.09/41.21 ( cCoq_2eRelations_2eRelation__Operators_2eunion___24a3
% 243.09/41.21 @ V0__A @ V2__r @ V3__r_27 ) ) @
% 243.09/41.21 ( cCoq_2eRelations_2eRelation__Operators_2eunion___24a3 @
% 243.09/41.21 V0__A @
% 243.09/41.21 ( chahn_2eHahnRelationsBasic_2erestr__rel___24a3 @
% 243.09/41.21 V0__A @ V1__f @ V2__r ) @
% 243.09/41.21 ( chahn_2eHahnRelationsBasic_2erestr__rel___24a3 @
% 243.09/41.21 V0__A @ V1__f @ V3__r_27 ) ) ) ) ) ) ) ) ) ))).
% 243.09/41.21 thf(zip_derived_cl382, plain,
% 243.09/41.21 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 243.09/41.21 (~ (c_24__type__1892___24t @ X0 @ X1)
% 243.09/41.21 | ~ (cCoq_2eRelations_2eRelation__Definitions_2erelation___24t @
% 243.09/41.21 X0 @ X2)
% 243.09/41.21 | (cCoq_2eRelations_2eRelation__Definitions_2esame__relation___24a3 @
% 243.09/41.21 X0 @
% 243.09/41.21 (chahn_2eHahnRelationsBasic_2erestr__rel___24a3 @ X0 @ X1 @
% 243.09/41.21 (cCoq_2eRelations_2eRelation__Operators_2eunion___24a3 @ X0 @
% 243.09/41.21 X3 @ X2)) @
% 243.09/41.21 (cCoq_2eRelations_2eRelation__Operators_2eunion___24a3 @ X0 @
% 243.09/41.21 (chahn_2eHahnRelationsBasic_2erestr__rel___24a3 @ X0 @ X1 @ X3) @
% 243.09/41.21 (chahn_2eHahnRelationsBasic_2erestr__rel___24a3 @ X0 @ X1 @ X2)))
% 243.09/41.21 | ~ (cCoq_2eRelations_2eRelation__Definitions_2erelation___24t @
% 243.09/41.21 X0 @ X3)
% 243.09/41.21 | ~ (cType___24t @ X0))),
% 243.09/41.21 inference('cnf', [status(esa)], [HahnEquational.restr_union])).
% 243.09/41.21 thf(zip_derived_cl5466, plain,
% 243.09/41.21 (![X0 : $i, X1 : $i, X2 : $i]:
% 243.09/41.21 (~ (cCoq_2eRelations_2eRelation__Definitions_2erelation___24t @ cA @
% 243.09/41.21 X2)
% 243.09/41.21 | (cCoq_2eRelations_2eRelation__Definitions_2esame__relation___24a3 @
% 243.09/41.21 cA @
% 243.09/41.21 (chahn_2eHahnRelationsBasic_2erestr__rel___24a3 @ cA @ X0 @
% 243.09/41.21 (cCoq_2eRelations_2eRelation__Operators_2eunion___24a3 @ cA @
% 243.09/41.21 X2 @ X1)) @
% 243.09/41.21 (cCoq_2eRelations_2eRelation__Operators_2eunion___24a3 @ cA @
% 243.09/41.21 (chahn_2eHahnRelationsBasic_2erestr__rel___24a3 @ cA @ X0 @ X2) @
% 243.09/41.21 (chahn_2eHahnRelationsBasic_2erestr__rel___24a3 @ cA @ X0 @ X1)))
% 243.09/41.21 | ~ (cCoq_2eRelations_2eRelation__Definitions_2erelation___24t @
% 243.09/41.21 cA @ X1)
% 243.09/41.21 | ~ (c_24__type__1892___24t @ cA @ X0))),
% 243.09/41.21 inference('dp-resolution', [status(thm)],
% 243.09/41.21 [zip_derived_cl57, zip_derived_cl382])).
% 243.09/41.21 thf(zip_derived_cl8, plain,
% 243.09/41.21 (![X0 : $i, X1 : $i, X2 : $i]:
% 243.09/41.21 ( (cCoq_2eRelations_2eRelation__Definitions_2einclusion___24a3 @ X0 @
% 243.09/41.21 X1 @ X2)
% 243.09/41.21 | ~ (cCoq_2eRelations_2eRelation__Definitions_2esame__relation___24a3 @
% 243.09/41.21 X0 @ X1 @ X2))),
% 243.09/41.21 inference('cnf', [status(esa)],
% 243.09/41.21 [$_def_Coq.Relations.Relation_Definitions.same_relation])).
% 243.09/41.21 thf(zip_derived_cl10680, plain,
% 243.09/41.21 (![X0 : $i, X1 : $i, X2 : $i]:
% 243.09/41.21 (~ (c_24__type__1892___24t @ cA @ X1)
% 243.09/41.21 | ~ (cCoq_2eRelations_2eRelation__Definitions_2erelation___24t @
% 243.09/41.21 cA @ X0)
% 243.09/41.21 | ~ (cCoq_2eRelations_2eRelation__Definitions_2erelation___24t @
% 243.09/41.21 cA @ X2)
% 243.09/41.21 | (cCoq_2eRelations_2eRelation__Definitions_2einclusion___24a3 @
% 243.09/41.21 cA @
% 243.09/41.21 (chahn_2eHahnRelationsBasic_2erestr__rel___24a3 @ cA @ X1 @
% 243.09/41.21 (cCoq_2eRelations_2eRelation__Operators_2eunion___24a3 @ cA @
% 243.09/41.21 X2 @ X0)) @
% 243.09/41.21 (cCoq_2eRelations_2eRelation__Operators_2eunion___24a3 @ cA @
% 243.09/41.21 (chahn_2eHahnRelationsBasic_2erestr__rel___24a3 @ cA @ X1 @ X2) @
% 243.09/41.21 (chahn_2eHahnRelationsBasic_2erestr__rel___24a3 @ cA @ X1 @ X0))))),
% 243.09/41.21 inference('sup-', [status(thm)], [zip_derived_cl5466, zip_derived_cl8])).
% 243.09/41.21 thf(zip_derived_cl159194, plain,
% 243.09/41.21 ((~ (cCoq_2eRelations_2eRelation__Definitions_2einclusion___24a3 @ cA @
% 243.09/41.21 (cCoq_2eRelations_2eRelation__Operators_2eunion___24a3 @ cA @
% 243.09/41.21 (chahn_2eHahnRelationsBasic_2erestr__rel___24a3 @ cA @ cf @ cr) @
% 243.09/41.21 (chahn_2eHahnRelationsBasic_2erestr__rel___24a3 @ cA @ cf @ cr_27)) @
% 243.09/41.21 (chahn_2eHahnRelationsBasic_2erestr__rel___24a3 @ cA @ cf @
% 243.09/41.21 (cCoq_2eRelations_2eRelation__Operators_2eunion___24a3 @ cA @ cr @
% 243.09/41.21 cr_27)))
% 243.09/41.21 | ~ (cCoq_2eRelations_2eRelation__Definitions_2erelation___24t @ cA @
% 243.09/41.21 cr)
% 243.09/41.21 | ~ (cCoq_2eRelations_2eRelation__Definitions_2erelation___24t @ cA @
% 243.09/41.21 cr_27)
% 243.09/41.21 | ~ (c_24__type__1892___24t @ cA @ cf))),
% 243.09/41.21 inference('sup+', [status(thm)],
% 243.09/41.21 [zip_derived_cl7006, zip_derived_cl10680])).
% 243.09/41.21 thf('$_typeof_r', axiom,
% 243.09/41.21 (cCoq_2eRelations_2eRelation__Definitions_2erelation___24t @ cA @ cr)).
% 243.09/41.21 thf(zip_derived_cl59, plain,
% 243.09/41.21 ( (cCoq_2eRelations_2eRelation__Definitions_2erelation___24t @ cA @ cr)),
% 243.09/41.21 inference('cnf', [status(esa)], [$_typeof_r])).
% 243.09/41.21 thf('$_typeof_r\\'', axiom,
% 243.09/41.21 (cCoq_2eRelations_2eRelation__Definitions_2erelation___24t @ cA @ cr_27)).
% 243.09/41.21 thf(zip_derived_cl60, plain,
% 243.09/41.21 ( (cCoq_2eRelations_2eRelation__Definitions_2erelation___24t @ cA @ cr_27)),
% 243.09/41.21 inference('cnf', [status(esa)], [$_typeof_r\'])).
% 243.09/41.21 thf(zip_derived_cl159196, plain,
% 243.09/41.21 ((~ (cCoq_2eRelations_2eRelation__Definitions_2einclusion___24a3 @ cA @
% 243.09/41.21 (cCoq_2eRelations_2eRelation__Operators_2eunion___24a3 @ cA @
% 243.09/41.21 (chahn_2eHahnRelationsBasic_2erestr__rel___24a3 @ cA @ cf @ cr) @
% 243.09/41.21 (chahn_2eHahnRelationsBasic_2erestr__rel___24a3 @ cA @ cf @ cr_27)) @
% 243.09/41.21 (chahn_2eHahnRelationsBasic_2erestr__rel___24a3 @ cA @ cf @
% 243.09/41.21 (cCoq_2eRelations_2eRelation__Operators_2eunion___24a3 @ cA @ cr @
% 243.09/41.21 cr_27)))
% 243.09/41.21 | ~ (c_24__type__1892___24t @ cA @ cf))),
% 243.09/41.21 inference('demod', [status(thm)],
% 243.09/41.21 [zip_derived_cl159194, zip_derived_cl59, zip_derived_cl60])).
% 243.09/41.21 thf(zip_derived_cl5466, plain,
% 243.09/41.21 (![X0 : $i, X1 : $i, X2 : $i]:
% 243.09/41.21 (~ (cCoq_2eRelations_2eRelation__Definitions_2erelation___24t @ cA @
% 243.09/41.21 X2)
% 243.09/41.21 | (cCoq_2eRelations_2eRelation__Definitions_2esame__relation___24a3 @
% 243.09/41.21 cA @
% 243.09/41.21 (chahn_2eHahnRelationsBasic_2erestr__rel___24a3 @ cA @ X0 @
% 243.09/41.21 (cCoq_2eRelations_2eRelation__Operators_2eunion___24a3 @ cA @
% 243.09/41.21 X2 @ X1)) @
% 243.09/41.21 (cCoq_2eRelations_2eRelation__Operators_2eunion___24a3 @ cA @
% 243.09/41.21 (chahn_2eHahnRelationsBasic_2erestr__rel___24a3 @ cA @ X0 @ X2) @
% 243.09/41.21 (chahn_2eHahnRelationsBasic_2erestr__rel___24a3 @ cA @ X0 @ X1)))
% 243.09/41.21 | ~ (cCoq_2eRelations_2eRelation__Definitions_2erelation___24t @
% 243.09/41.21 cA @ X1)
% 243.09/41.21 | ~ (c_24__type__1892___24t @ cA @ X0))),
% 243.09/41.21 inference('dp-resolution', [status(thm)],
% 243.09/41.21 [zip_derived_cl57, zip_derived_cl382])).
% 243.09/41.21 thf(zip_derived_cl9, plain,
% 243.09/41.21 (![X0 : $i, X1 : $i, X2 : $i]:
% 243.09/41.21 ( (cCoq_2eRelations_2eRelation__Definitions_2einclusion___24a3 @ X0 @
% 243.09/41.21 X1 @ X2)
% 243.09/41.21 | ~ (cCoq_2eRelations_2eRelation__Definitions_2esame__relation___24a3 @
% 243.09/41.21 X0 @ X2 @ X1))),
% 243.09/41.21 inference('cnf', [status(esa)],
% 243.09/41.21 [$_def_Coq.Relations.Relation_Definitions.same_relation])).
% 243.09/41.21 thf(zip_derived_cl10681, plain,
% 243.09/41.21 (![X0 : $i, X1 : $i, X2 : $i]:
% 243.09/41.21 (~ (c_24__type__1892___24t @ cA @ X1)
% 243.09/41.21 | ~ (cCoq_2eRelations_2eRelation__Definitions_2erelation___24t @
% 243.09/41.21 cA @ X0)
% 243.09/41.21 | ~ (cCoq_2eRelations_2eRelation__Definitions_2erelation___24t @
% 243.09/41.21 cA @ X2)
% 243.09/41.21 | (cCoq_2eRelations_2eRelation__Definitions_2einclusion___24a3 @
% 243.09/41.21 cA @
% 243.09/41.21 (cCoq_2eRelations_2eRelation__Operators_2eunion___24a3 @ cA @
% 243.09/41.21 (chahn_2eHahnRelationsBasic_2erestr__rel___24a3 @ cA @ X1 @ X2) @
% 243.09/41.21 (chahn_2eHahnRelationsBasic_2erestr__rel___24a3 @ cA @ X1 @ X0)) @
% 243.09/41.21 (chahn_2eHahnRelationsBasic_2erestr__rel___24a3 @ cA @ X1 @
% 243.09/41.21 (cCoq_2eRelations_2eRelation__Operators_2eunion___24a3 @ cA @
% 243.09/41.21 X2 @ X0))))),
% 243.09/41.21 inference('sup-', [status(thm)], [zip_derived_cl5466, zip_derived_cl9])).
% 243.09/41.21 thf(zip_derived_cl159666, plain,
% 243.09/41.21 ((~ (c_24__type__1892___24t @ cA @ cf)
% 243.09/41.21 | ~ (cCoq_2eRelations_2eRelation__Definitions_2erelation___24t @ cA @
% 243.09/41.21 cr)
% 243.09/41.21 | ~ (cCoq_2eRelations_2eRelation__Definitions_2erelation___24t @ cA @
% 243.09/41.21 cr_27)
% 243.09/41.21 | ~ (c_24__type__1892___24t @ cA @ cf))),
% 243.09/41.21 inference('sup+', [status(thm)],
% 243.09/41.21 [zip_derived_cl159196, zip_derived_cl10681])).
% 243.09/41.21 thf(zip_derived_cl59, plain,
% 243.09/41.21 ( (cCoq_2eRelations_2eRelation__Definitions_2erelation___24t @ cA @ cr)),
% 243.09/41.21 inference('cnf', [status(esa)], [$_typeof_r])).
% 243.09/41.21 thf(zip_derived_cl60, plain,
% 243.09/41.21 ( (cCoq_2eRelations_2eRelation__Definitions_2erelation___24t @ cA @ cr_27)),
% 243.09/41.21 inference('cnf', [status(esa)], [$_typeof_r\'])).
% 243.09/41.21 thf(zip_derived_cl159671, plain,
% 243.09/41.21 ((~ (c_24__type__1892___24t @ cA @ cf)
% 243.09/41.21 | ~ (c_24__type__1892___24t @ cA @ cf))),
% 243.09/41.21 inference('demod', [status(thm)],
% 243.09/41.21 [zip_derived_cl159666, zip_derived_cl59, zip_derived_cl60])).
% 243.09/41.21 thf(zip_derived_cl159672, plain, (~ (c_24__type__1892___24t @ cA @ cf)),
% 243.09/41.21 inference('simplify', [status(thm)], [zip_derived_cl159671])).
% 243.09/41.21 thf(zip_derived_cl159687, plain, (~ (c_24__type__35798___24t @ cf)),
% 243.09/41.21 inference('sup-', [status(thm)],
% 243.09/41.21 [zip_derived_cl7277, zip_derived_cl159672])).
% 243.09/41.21 thf('$_typeof_f', axiom, (c_24__type__35798___24t @ cf)).
% 243.09/41.21 thf(zip_derived_cl58, plain, ( (c_24__type__35798___24t @ cf)),
% 243.09/41.21 inference('cnf', [status(esa)], [$_typeof_f])).
% 243.09/41.21 thf(zip_derived_cl159688, plain, ($false),
% 243.09/41.21 inference('demod', [status(thm)],
% 243.09/41.21 [zip_derived_cl159687, zip_derived_cl58])).
% 243.09/41.21
% 243.09/41.21 % SZS output end Refutation
% 243.09/41.21
% 243.09/41.21
% 243.09/41.21 % Terminating...
% 284.04/41.32 % Runner terminated.
% 284.04/41.34 % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------