TSTP Solution File: PUZ064-2 by Zipperpin---2.1.9999
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- Process Solution
%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : PUZ064-2 : TPTP v8.1.2. Released v3.2.0.
% Transfm : NO INFORMATION
% Format : NO INFORMATION
% Command : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.oHIWUzEAMO 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 13:30:55 EDT 2023
% Result : Unsatisfiable 283.65s 41.10s
% Output : Refutation 283.65s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : PUZ064-2 : TPTP v8.1.2. Released v3.2.0.
% 0.03/0.13 % Command : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.oHIWUzEAMO true
% 0.14/0.34 % Computer : n023.cluster.edu
% 0.14/0.34 % Model : x86_64 x86_64
% 0.14/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.34 % Memory : 8042.1875MB
% 0.14/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.34 % CPULimit : 300
% 0.14/0.34 % WCLimit : 300
% 0.14/0.34 % DateTime : Sat Aug 26 22:34:41 EDT 2023
% 0.14/0.34 % CPUTime :
% 0.14/0.34 % Running portfolio for 300 s
% 0.14/0.34 % File : /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.14/0.35 % Number of cores: 8
% 0.14/0.35 % Python version: Python 3.6.8
% 0.14/0.35 % Running in FO mode
% 0.56/0.64 % Total configuration time : 435
% 0.56/0.64 % Estimated wc time : 1092
% 0.56/0.64 % Estimated cpu time (7 cpus) : 156.0
% 0.56/0.71 % /export/starexec/sandbox/solver/bin/fo/fo6_bce.sh running for 75s
% 0.56/0.72 % /export/starexec/sandbox/solver/bin/fo/fo3_bce.sh running for 75s
% 0.56/0.75 % /export/starexec/sandbox/solver/bin/fo/fo1_av.sh running for 75s
% 0.56/0.75 % /export/starexec/sandbox/solver/bin/fo/fo7.sh running for 63s
% 0.56/0.75 % /export/starexec/sandbox/solver/bin/fo/fo13.sh running for 50s
% 0.56/0.76 % /export/starexec/sandbox/solver/bin/fo/fo4.sh running for 50s
% 0.56/0.76 % /export/starexec/sandbox/solver/bin/fo/fo5.sh running for 50s
% 283.65/41.10 % Solved by fo/fo13.sh.
% 283.65/41.10 % done 9830 iterations in 40.319s
% 283.65/41.10 % SZS status Theorem for '/export/starexec/sandbox/benchmark/theBenchmark.p'
% 283.65/41.10 % SZS output start Refutation
% 283.65/41.10 thf(t_a_type, type, t_a: $i).
% 283.65/41.10 thf(c_in_type, type, c_in: $i > $i > $i > $o).
% 283.65/41.10 thf(c_uminus_type, type, c_uminus: $i > $i > $i).
% 283.65/41.10 thf(tc_set_type, type, tc_set: $i > $i).
% 283.65/41.10 thf(v_A_type, type, v_A: $i).
% 283.65/41.10 thf(v_u_type, type, v_u: $i).
% 283.65/41.10 thf(c_inter_type, type, c_inter: $i > $i > $i > $i).
% 283.65/41.10 thf(c_union_type, type, c_union: $i > $i > $i > $i).
% 283.65/41.10 thf(v_a_type, type, v_a: $i).
% 283.65/41.10 thf(c_lessequals_type, type, c_lessequals: $i > $i > $i > $o).
% 283.65/41.10 thf(c_minus_type, type, c_minus: $i > $i > $i > $i).
% 283.65/41.10 thf(c_Mutil_Otiling_type, type, c_Mutil_Otiling: $i > $i > $i).
% 283.65/41.10 thf(c_emptyset_type, type, c_emptyset: $i).
% 283.65/41.10 thf(v_t_type, type, v_t: $i).
% 283.65/41.10 thf(c_UNIV_type, type, c_UNIV: $i).
% 283.65/41.10 thf(cls_Set_ODiff__Compl_0, axiom,
% 283.65/41.10 (( c_minus @ V_A @ ( c_uminus @ V_B @ ( tc_set @ T_a ) ) @ ( tc_set @ T_a ) ) =
% 283.65/41.10 ( c_inter @ V_A @ V_B @ T_a ))).
% 283.65/41.10 thf(zip_derived_cl10, plain,
% 283.65/41.10 (![X0 : $i, X1 : $i, X2 : $i]:
% 283.65/41.10 ((c_minus @ X0 @ (c_uminus @ X1 @ (tc_set @ X2)) @ (tc_set @ X2))
% 283.65/41.10 = (c_inter @ X0 @ X1 @ X2))),
% 283.65/41.10 inference('cnf', [status(esa)], [cls_Set_ODiff__Compl_0])).
% 283.65/41.10 thf(cls_Set_Odouble__complement_0, axiom,
% 283.65/41.10 (( c_uminus @ ( c_uminus @ V_y @ ( tc_set @ T_a ) ) @ ( tc_set @ T_a ) ) =
% 283.65/41.10 ( V_y ))).
% 283.65/41.10 thf(zip_derived_cl23, plain,
% 283.65/41.10 (![X0 : $i, X1 : $i]:
% 283.65/41.10 ((c_uminus @ (c_uminus @ X0 @ (tc_set @ X1)) @ (tc_set @ X1)) = (X0))),
% 283.65/41.10 inference('cnf', [status(esa)], [cls_Set_Odouble__complement_0])).
% 283.65/41.10 thf(zip_derived_cl10, plain,
% 283.65/41.10 (![X0 : $i, X1 : $i, X2 : $i]:
% 283.65/41.10 ((c_minus @ X0 @ (c_uminus @ X1 @ (tc_set @ X2)) @ (tc_set @ X2))
% 283.65/41.10 = (c_inter @ X0 @ X1 @ X2))),
% 283.65/41.10 inference('cnf', [status(esa)], [cls_Set_ODiff__Compl_0])).
% 283.65/41.10 thf(zip_derived_cl62, plain,
% 283.65/41.10 (![X0 : $i, X1 : $i, X2 : $i]:
% 283.65/41.10 ((c_minus @ X2 @ X0 @ (tc_set @ X1))
% 283.65/41.10 = (c_inter @ X2 @ (c_uminus @ X0 @ (tc_set @ X1)) @ X1))),
% 283.65/41.10 inference('s_sup+', [status(thm)], [zip_derived_cl23, zip_derived_cl10])).
% 283.65/41.10 thf(cls_Set_OInt__UNIV__left_0, axiom,
% 283.65/41.10 (( c_inter @ c_UNIV @ V_y @ T_a ) = ( V_y ))).
% 283.65/41.10 thf(zip_derived_cl11, plain,
% 283.65/41.10 (![X0 : $i, X1 : $i]: ((c_inter @ c_UNIV @ X0 @ X1) = (X0))),
% 283.65/41.10 inference('cnf', [status(esa)], [cls_Set_OInt__UNIV__left_0])).
% 283.65/41.10 thf(zip_derived_cl236, plain,
% 283.65/41.10 (![X0 : $i, X1 : $i]:
% 283.65/41.10 ((c_minus @ c_UNIV @ X1 @ (tc_set @ X0))
% 283.65/41.10 = (c_uminus @ X1 @ (tc_set @ X0)))),
% 283.65/41.10 inference('s_sup+', [status(thm)], [zip_derived_cl62, zip_derived_cl11])).
% 283.65/41.10 thf(cls_Set_OUn__Diff__cancel_0, axiom,
% 283.65/41.10 (( c_union @ V_A @ ( c_minus @ V_B @ V_A @ ( tc_set @ T_a ) ) @ T_a ) =
% 283.65/41.10 ( c_union @ V_A @ V_B @ T_a ))).
% 283.65/41.10 thf(zip_derived_cl14, plain,
% 283.65/41.10 (![X0 : $i, X1 : $i, X2 : $i]:
% 283.65/41.10 ((c_union @ X0 @ (c_minus @ X1 @ X0 @ (tc_set @ X2)) @ X2)
% 283.65/41.10 = (c_union @ X0 @ X1 @ X2))),
% 283.65/41.10 inference('cnf', [status(esa)], [cls_Set_OUn__Diff__cancel_0])).
% 283.65/41.10 thf(zip_derived_cl497, plain,
% 283.65/41.10 (![X0 : $i, X1 : $i]:
% 283.65/41.10 ((c_union @ X1 @ (c_uminus @ X1 @ (tc_set @ X0)) @ X0)
% 283.65/41.10 = (c_union @ X1 @ c_UNIV @ X0))),
% 283.65/41.10 inference('s_sup+', [status(thm)], [zip_derived_cl236, zip_derived_cl14])).
% 283.65/41.10 thf(cls_Set_Osubset__refl_0, axiom,
% 283.65/41.10 (c_lessequals @ V_A @ V_A @ ( tc_set @ T_a ))).
% 283.65/41.10 thf(zip_derived_cl28, plain,
% 283.65/41.10 (![X0 : $i, X1 : $i]: (c_lessequals @ X0 @ X0 @ (tc_set @ X1))),
% 283.65/41.10 inference('cnf', [status(esa)], [cls_Set_Osubset__refl_0])).
% 283.65/41.10 thf(cls_Set_OUn__subset__iff_1, axiom,
% 283.65/41.10 (( ~( c_lessequals @ ( c_union @ V_A @ V_B @ T_a ) @ V_C @ ( tc_set @ T_a ) ) ) |
% 283.65/41.10 ( c_lessequals @ V_B @ V_C @ ( tc_set @ T_a ) ))).
% 283.65/41.10 thf(zip_derived_cl21, plain,
% 283.65/41.10 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 283.65/41.10 (~ (c_lessequals @ (c_union @ X0 @ X1 @ X2) @ X3 @ (tc_set @ X2))
% 283.65/41.10 | (c_lessequals @ X1 @ X3 @ (tc_set @ X2)))),
% 283.65/41.10 inference('cnf', [status(esa)], [cls_Set_OUn__subset__iff_1])).
% 283.65/41.10 thf(zip_derived_cl74, plain,
% 283.65/41.10 (![X0 : $i, X1 : $i, X2 : $i]:
% 283.65/41.10 (c_lessequals @ X1 @ (c_union @ X2 @ X1 @ X0) @ (tc_set @ X0))),
% 283.65/41.10 inference('s_sup-', [status(thm)], [zip_derived_cl28, zip_derived_cl21])).
% 283.65/41.10 thf(cls_Set_OUn__UNIV__left_0, axiom,
% 283.65/41.10 (( c_union @ c_UNIV @ V_B @ T_a ) = ( c_UNIV ))).
% 283.65/41.10 thf(zip_derived_cl15, plain,
% 283.65/41.10 (![X0 : $i, X1 : $i]: ((c_union @ c_UNIV @ X0 @ X1) = (c_UNIV))),
% 283.65/41.10 inference('cnf', [status(esa)], [cls_Set_OUn__UNIV__left_0])).
% 283.65/41.10 thf(zip_derived_cl74, plain,
% 283.65/41.10 (![X0 : $i, X1 : $i, X2 : $i]:
% 283.65/41.10 (c_lessequals @ X1 @ (c_union @ X2 @ X1 @ X0) @ (tc_set @ X0))),
% 283.65/41.10 inference('s_sup-', [status(thm)], [zip_derived_cl28, zip_derived_cl21])).
% 283.65/41.10 thf(zip_derived_cl228, plain,
% 283.65/41.10 (![X0 : $i, X1 : $i]: (c_lessequals @ X1 @ c_UNIV @ (tc_set @ X0))),
% 283.65/41.10 inference('s_sup+', [status(thm)], [zip_derived_cl15, zip_derived_cl74])).
% 283.65/41.10 thf(cls_Set_Osubset__antisym_0, axiom,
% 283.65/41.10 (( ~( c_lessequals @ V_B @ V_A @ ( tc_set @ T_a ) ) ) |
% 283.65/41.10 ( ~( c_lessequals @ V_A @ V_B @ ( tc_set @ T_a ) ) ) |
% 283.65/41.10 ( ( V_A ) = ( V_B ) ))).
% 283.65/41.10 thf(zip_derived_cl27, plain,
% 283.65/41.10 (![X0 : $i, X1 : $i, X2 : $i]:
% 283.65/41.10 (~ (c_lessequals @ X0 @ X1 @ (tc_set @ X2))
% 283.65/41.10 | ~ (c_lessequals @ X1 @ X0 @ (tc_set @ X2))
% 283.65/41.10 | ((X1) = (X0)))),
% 283.65/41.10 inference('cnf', [status(esa)], [cls_Set_Osubset__antisym_0])).
% 283.65/41.10 thf(zip_derived_cl230, plain,
% 283.65/41.10 (![X0 : $i, X1 : $i]:
% 283.65/41.10 (~ (c_lessequals @ c_UNIV @ X1 @ (tc_set @ X0)) | ((c_UNIV) = (X1)))),
% 283.65/41.10 inference('s_sup-', [status(thm)], [zip_derived_cl228, zip_derived_cl27])).
% 283.65/41.10 thf(zip_derived_cl254, plain,
% 283.65/41.10 (![X0 : $i, X1 : $i]: ((c_UNIV) = (c_union @ X1 @ c_UNIV @ X0))),
% 283.65/41.10 inference('s_sup-', [status(thm)], [zip_derived_cl74, zip_derived_cl230])).
% 283.65/41.10 thf(zip_derived_cl505, plain,
% 283.65/41.10 (![X0 : $i, X1 : $i]:
% 283.65/41.10 ((c_union @ X1 @ (c_uminus @ X1 @ (tc_set @ X0)) @ X0) = (c_UNIV))),
% 283.65/41.10 inference('demod', [status(thm)], [zip_derived_cl497, zip_derived_cl254])).
% 283.65/41.10 thf(cls_conjecture_4, conjecture,
% 283.65/41.10 (( c_inter @ ( c_union @ v_a @ v_t @ t_a ) @ v_u @ t_a ) != ( c_emptyset ))).
% 283.65/41.10 thf(zf_stmt_0, negated_conjecture,
% 283.65/41.10 (( c_inter @ ( c_union @ v_a @ v_t @ t_a ) @ v_u @ t_a ) = ( c_emptyset )),
% 283.65/41.10 inference('cnf.neg', [status(esa)], [cls_conjecture_4])).
% 283.65/41.10 thf(zip_derived_cl3, plain,
% 283.65/41.10 (((c_inter @ (c_union @ v_a @ v_t @ t_a) @ v_u @ t_a) = (c_emptyset))),
% 283.65/41.10 inference('cnf', [status(esa)], [zf_stmt_0])).
% 283.65/41.10 thf(zip_derived_cl10, plain,
% 283.65/41.10 (![X0 : $i, X1 : $i, X2 : $i]:
% 283.65/41.10 ((c_minus @ X0 @ (c_uminus @ X1 @ (tc_set @ X2)) @ (tc_set @ X2))
% 283.65/41.10 = (c_inter @ X0 @ X1 @ X2))),
% 283.65/41.10 inference('cnf', [status(esa)], [cls_Set_ODiff__Compl_0])).
% 283.65/41.10 thf(cls_Set_OUn__Diff__cancel2_0, axiom,
% 283.65/41.10 (( c_union @ ( c_minus @ V_B @ V_A @ ( tc_set @ T_a ) ) @ V_A @ T_a ) =
% 283.65/41.10 ( c_union @ V_B @ V_A @ T_a ))).
% 283.65/41.10 thf(zip_derived_cl13, plain,
% 283.65/41.10 (![X0 : $i, X1 : $i, X2 : $i]:
% 283.65/41.10 ((c_union @ (c_minus @ X0 @ X1 @ (tc_set @ X2)) @ X1 @ X2)
% 283.65/41.10 = (c_union @ X0 @ X1 @ X2))),
% 283.65/41.10 inference('cnf', [status(esa)], [cls_Set_OUn__Diff__cancel2_0])).
% 283.65/41.10 thf(zip_derived_cl85, plain,
% 283.65/41.10 (![X0 : $i, X1 : $i, X2 : $i]:
% 283.65/41.10 ((c_union @ (c_inter @ X2 @ X1 @ X0) @
% 283.65/41.10 (c_uminus @ X1 @ (tc_set @ X0)) @ X0)
% 283.65/41.10 = (c_union @ X2 @ (c_uminus @ X1 @ (tc_set @ X0)) @ X0))),
% 283.65/41.10 inference('s_sup+', [status(thm)], [zip_derived_cl10, zip_derived_cl13])).
% 283.65/41.10 thf(zip_derived_cl740, plain,
% 283.65/41.10 (((c_union @ c_emptyset @ (c_uminus @ v_u @ (tc_set @ t_a)) @ t_a)
% 283.65/41.10 = (c_union @ (c_union @ v_a @ v_t @ t_a) @
% 283.65/41.10 (c_uminus @ v_u @ (tc_set @ t_a)) @ t_a))),
% 283.65/41.10 inference('s_sup+', [status(thm)], [zip_derived_cl3, zip_derived_cl85])).
% 283.65/41.10 thf(cls_Set_OUn__empty__left_0, axiom,
% 283.65/41.10 (( c_union @ c_emptyset @ V_y @ T_a ) = ( V_y ))).
% 283.65/41.10 thf(zip_derived_cl18, plain,
% 283.65/41.10 (![X0 : $i, X1 : $i]: ((c_union @ c_emptyset @ X0 @ X1) = (X0))),
% 283.65/41.10 inference('cnf', [status(esa)], [cls_Set_OUn__empty__left_0])).
% 283.65/41.10 thf(zip_derived_cl751, plain,
% 283.65/41.10 (((c_uminus @ v_u @ (tc_set @ t_a))
% 283.65/41.10 = (c_union @ (c_union @ v_a @ v_t @ t_a) @
% 283.65/41.10 (c_uminus @ v_u @ (tc_set @ t_a)) @ t_a))),
% 283.65/41.10 inference('demod', [status(thm)], [zip_derived_cl740, zip_derived_cl18])).
% 283.65/41.10 thf(cls_Set_OUn__assoc_0, axiom,
% 283.65/41.10 (( c_union @ ( c_union @ V_A @ V_B @ T_a ) @ V_C @ T_a ) =
% 283.65/41.10 ( c_union @ V_A @ ( c_union @ V_B @ V_C @ T_a ) @ T_a ))).
% 283.65/41.10 thf(zip_derived_cl17, plain,
% 283.65/41.10 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 283.65/41.10 ((c_union @ (c_union @ X0 @ X1 @ X3) @ X2 @ X3)
% 283.65/41.10 = (c_union @ X0 @ (c_union @ X1 @ X2 @ X3) @ X3))),
% 283.65/41.10 inference('cnf', [status(esa)], [cls_Set_OUn__assoc_0])).
% 283.65/41.10 thf(zip_derived_cl822, plain,
% 283.65/41.10 (((c_uminus @ v_u @ (tc_set @ t_a))
% 283.65/41.10 = (c_union @ v_a @
% 283.65/41.10 (c_union @ v_t @ (c_uminus @ v_u @ (tc_set @ t_a)) @ t_a) @ t_a))),
% 283.65/41.10 inference('s_sup+', [status(thm)], [zip_derived_cl751, zip_derived_cl17])).
% 283.65/41.10 thf(cls_Set_OUn__absorb_0, axiom, (( c_union @ V_y @ V_y @ T_a ) = ( V_y ))).
% 283.65/41.10 thf(zip_derived_cl16, plain,
% 283.65/41.10 (![X0 : $i, X1 : $i]: ((c_union @ X0 @ X0 @ X1) = (X0))),
% 283.65/41.10 inference('cnf', [status(esa)], [cls_Set_OUn__absorb_0])).
% 283.65/41.10 thf(zip_derived_cl17, plain,
% 283.65/41.10 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 283.65/41.10 ((c_union @ (c_union @ X0 @ X1 @ X3) @ X2 @ X3)
% 283.65/41.10 = (c_union @ X0 @ (c_union @ X1 @ X2 @ X3) @ X3))),
% 283.65/41.10 inference('cnf', [status(esa)], [cls_Set_OUn__assoc_0])).
% 283.65/41.10 thf(zip_derived_cl103, plain,
% 283.65/41.10 (![X0 : $i, X1 : $i, X2 : $i]:
% 283.65/41.10 ((c_union @ X0 @ X2 @ X1)
% 283.65/41.10 = (c_union @ X0 @ (c_union @ X0 @ X2 @ X1) @ X1))),
% 283.65/41.10 inference('s_sup+', [status(thm)], [zip_derived_cl16, zip_derived_cl17])).
% 283.65/41.10 thf(zip_derived_cl1380, plain,
% 283.65/41.10 (((c_uminus @ v_u @ (tc_set @ t_a))
% 283.65/41.10 = (c_union @ v_a @ (c_uminus @ v_u @ (tc_set @ t_a)) @ t_a))),
% 283.65/41.10 inference('s_sup+', [status(thm)], [zip_derived_cl822, zip_derived_cl103])).
% 283.65/41.10 thf(zip_derived_cl236, plain,
% 283.65/41.10 (![X0 : $i, X1 : $i]:
% 283.65/41.10 ((c_minus @ c_UNIV @ X1 @ (tc_set @ X0))
% 283.65/41.10 = (c_uminus @ X1 @ (tc_set @ X0)))),
% 283.65/41.10 inference('s_sup+', [status(thm)], [zip_derived_cl62, zip_derived_cl11])).
% 283.65/41.10 thf(zip_derived_cl13, plain,
% 283.65/41.10 (![X0 : $i, X1 : $i, X2 : $i]:
% 283.65/41.10 ((c_union @ (c_minus @ X0 @ X1 @ (tc_set @ X2)) @ X1 @ X2)
% 283.65/41.10 = (c_union @ X0 @ X1 @ X2))),
% 283.65/41.10 inference('cnf', [status(esa)], [cls_Set_OUn__Diff__cancel2_0])).
% 283.65/41.10 thf(zip_derived_cl496, plain,
% 283.65/41.10 (![X0 : $i, X1 : $i]:
% 283.65/41.10 ((c_union @ (c_uminus @ X1 @ (tc_set @ X0)) @ X1 @ X0)
% 283.65/41.10 = (c_union @ c_UNIV @ X1 @ X0))),
% 283.65/41.10 inference('s_sup+', [status(thm)], [zip_derived_cl236, zip_derived_cl13])).
% 283.65/41.10 thf(zip_derived_cl15, plain,
% 283.65/41.10 (![X0 : $i, X1 : $i]: ((c_union @ c_UNIV @ X0 @ X1) = (c_UNIV))),
% 283.65/41.10 inference('cnf', [status(esa)], [cls_Set_OUn__UNIV__left_0])).
% 283.65/41.10 thf(zip_derived_cl504, plain,
% 283.65/41.10 (![X0 : $i, X1 : $i]:
% 283.65/41.10 ((c_union @ (c_uminus @ X1 @ (tc_set @ X0)) @ X1 @ X0) = (c_UNIV))),
% 283.65/41.10 inference('demod', [status(thm)], [zip_derived_cl496, zip_derived_cl15])).
% 283.65/41.10 thf(cls_Set_OCompl__Diff__eq_0, axiom,
% 283.65/41.10 (( c_uminus @ ( c_minus @ V_A @ V_B @ ( tc_set @ T_a ) ) @ ( tc_set @ T_a ) ) =
% 283.65/41.10 ( c_union @ ( c_uminus @ V_A @ ( tc_set @ T_a ) ) @ V_B @ T_a ))).
% 283.65/41.10 thf(zip_derived_cl8, plain,
% 283.65/41.10 (![X0 : $i, X1 : $i, X2 : $i]:
% 283.65/41.10 ((c_uminus @ (c_minus @ X0 @ X2 @ (tc_set @ X1)) @ (tc_set @ X1))
% 283.65/41.10 = (c_union @ (c_uminus @ X0 @ (tc_set @ X1)) @ X2 @ X1))),
% 283.65/41.10 inference('cnf', [status(esa)], [cls_Set_OCompl__Diff__eq_0])).
% 283.65/41.10 thf(zip_derived_cl23, plain,
% 283.65/41.10 (![X0 : $i, X1 : $i]:
% 283.65/41.10 ((c_uminus @ (c_uminus @ X0 @ (tc_set @ X1)) @ (tc_set @ X1)) = (X0))),
% 283.65/41.10 inference('cnf', [status(esa)], [cls_Set_Odouble__complement_0])).
% 283.65/41.10 thf(zip_derived_cl71, plain,
% 283.65/41.10 (![X0 : $i, X1 : $i, X2 : $i]:
% 283.65/41.10 ((c_uminus @ (c_union @ (c_uminus @ X2 @ (tc_set @ X0)) @ X1 @ X0) @
% 283.65/41.10 (tc_set @ X0)) = (c_minus @ X2 @ X1 @ (tc_set @ X0)))),
% 283.65/41.10 inference('s_sup+', [status(thm)], [zip_derived_cl8, zip_derived_cl23])).
% 283.65/41.10 thf(zip_derived_cl550, plain,
% 283.65/41.10 (![X0 : $i, X1 : $i]:
% 283.65/41.10 ((c_uminus @ c_UNIV @ (tc_set @ X0))
% 283.65/41.10 = (c_minus @ X1 @ X1 @ (tc_set @ X0)))),
% 283.65/41.10 inference('s_sup+', [status(thm)], [zip_derived_cl504, zip_derived_cl71])).
% 283.65/41.10 thf(cls_Set_OCompl__UNIV__eq_0, axiom,
% 283.65/41.10 (( c_uminus @ c_UNIV @ ( tc_set @ T_a ) ) = ( c_emptyset ))).
% 283.65/41.10 thf(zip_derived_cl9, plain,
% 283.65/41.10 (![X0 : $i]: ((c_uminus @ c_UNIV @ (tc_set @ X0)) = (c_emptyset))),
% 283.65/41.10 inference('cnf', [status(esa)], [cls_Set_OCompl__UNIV__eq_0])).
% 283.65/41.10 thf(zip_derived_cl559, plain,
% 283.65/41.10 (![X0 : $i, X1 : $i]:
% 283.65/41.10 ((c_emptyset) = (c_minus @ X1 @ X1 @ (tc_set @ X0)))),
% 283.65/41.10 inference('demod', [status(thm)], [zip_derived_cl550, zip_derived_cl9])).
% 283.65/41.10 thf(zip_derived_cl8, plain,
% 283.65/41.10 (![X0 : $i, X1 : $i, X2 : $i]:
% 283.65/41.10 ((c_uminus @ (c_minus @ X0 @ X2 @ (tc_set @ X1)) @ (tc_set @ X1))
% 283.65/41.10 = (c_union @ (c_uminus @ X0 @ (tc_set @ X1)) @ X2 @ X1))),
% 283.65/41.10 inference('cnf', [status(esa)], [cls_Set_OCompl__Diff__eq_0])).
% 283.65/41.10 thf(zip_derived_cl71, plain,
% 283.65/41.10 (![X0 : $i, X1 : $i, X2 : $i]:
% 283.65/41.10 ((c_uminus @ (c_union @ (c_uminus @ X2 @ (tc_set @ X0)) @ X1 @ X0) @
% 283.65/41.10 (tc_set @ X0)) = (c_minus @ X2 @ X1 @ (tc_set @ X0)))),
% 283.65/41.10 inference('s_sup+', [status(thm)], [zip_derived_cl8, zip_derived_cl23])).
% 283.65/41.10 thf(zip_derived_cl280, plain,
% 283.65/41.10 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 283.65/41.10 ((c_uminus @
% 283.65/41.10 (c_union @ (c_union @ (c_uminus @ X2 @ (tc_set @ X0)) @ X1 @ X0) @
% 283.65/41.10 X3 @ X0) @
% 283.65/41.10 (tc_set @ X0))
% 283.65/41.10 = (c_minus @ (c_minus @ X2 @ X1 @ (tc_set @ X0)) @ X3 @
% 283.65/41.10 (tc_set @ X0)))),
% 283.65/41.10 inference('s_sup+', [status(thm)], [zip_derived_cl8, zip_derived_cl71])).
% 283.65/41.10 thf(zip_derived_cl17, plain,
% 283.65/41.10 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 283.65/41.10 ((c_union @ (c_union @ X0 @ X1 @ X3) @ X2 @ X3)
% 283.65/41.10 = (c_union @ X0 @ (c_union @ X1 @ X2 @ X3) @ X3))),
% 283.65/41.10 inference('cnf', [status(esa)], [cls_Set_OUn__assoc_0])).
% 283.65/41.10 thf(zip_derived_cl71, plain,
% 283.65/41.10 (![X0 : $i, X1 : $i, X2 : $i]:
% 283.65/41.10 ((c_uminus @ (c_union @ (c_uminus @ X2 @ (tc_set @ X0)) @ X1 @ X0) @
% 283.65/41.10 (tc_set @ X0)) = (c_minus @ X2 @ X1 @ (tc_set @ X0)))),
% 283.65/41.10 inference('s_sup+', [status(thm)], [zip_derived_cl8, zip_derived_cl23])).
% 283.65/41.10 thf(zip_derived_cl287, plain,
% 283.65/41.10 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 283.65/41.10 ((c_minus @ X2 @ (c_union @ X1 @ X3 @ X0) @ (tc_set @ X0))
% 283.65/41.10 = (c_minus @ (c_minus @ X2 @ X1 @ (tc_set @ X0)) @ X3 @
% 283.65/41.10 (tc_set @ X0)))),
% 283.65/41.10 inference('demod', [status(thm)],
% 283.65/41.10 [zip_derived_cl280, zip_derived_cl17, zip_derived_cl71])).
% 283.65/41.10 thf(zip_derived_cl3683, plain,
% 283.65/41.10 (![X0 : $i, X1 : $i, X2 : $i]:
% 283.65/41.10 ((c_minus @ X2 @ (c_union @ X2 @ X1 @ X0) @ (tc_set @ X0))
% 283.65/41.10 = (c_minus @ c_emptyset @ X1 @ (tc_set @ X0)))),
% 283.65/41.10 inference('s_sup+', [status(thm)], [zip_derived_cl559, zip_derived_cl287])).
% 283.65/41.10 thf(zip_derived_cl9, plain,
% 283.65/41.10 (![X0 : $i]: ((c_uminus @ c_UNIV @ (tc_set @ X0)) = (c_emptyset))),
% 283.65/41.10 inference('cnf', [status(esa)], [cls_Set_OCompl__UNIV__eq_0])).
% 283.65/41.10 thf(zip_derived_cl23, plain,
% 283.65/41.10 (![X0 : $i, X1 : $i]:
% 283.65/41.10 ((c_uminus @ (c_uminus @ X0 @ (tc_set @ X1)) @ (tc_set @ X1)) = (X0))),
% 283.65/41.10 inference('cnf', [status(esa)], [cls_Set_Odouble__complement_0])).
% 283.65/41.10 thf(zip_derived_cl48, plain,
% 283.65/41.10 (![X0 : $i]: ((c_uminus @ c_emptyset @ (tc_set @ X0)) = (c_UNIV))),
% 283.65/41.10 inference('s_sup+', [status(thm)], [zip_derived_cl9, zip_derived_cl23])).
% 283.65/41.10 thf(zip_derived_cl71, plain,
% 283.65/41.10 (![X0 : $i, X1 : $i, X2 : $i]:
% 283.65/41.10 ((c_uminus @ (c_union @ (c_uminus @ X2 @ (tc_set @ X0)) @ X1 @ X0) @
% 283.65/41.10 (tc_set @ X0)) = (c_minus @ X2 @ X1 @ (tc_set @ X0)))),
% 283.65/41.10 inference('s_sup+', [status(thm)], [zip_derived_cl8, zip_derived_cl23])).
% 283.65/41.10 thf(zip_derived_cl277, plain,
% 283.65/41.10 (![X0 : $i, X1 : $i]:
% 283.65/41.10 ((c_uminus @ (c_union @ c_UNIV @ X1 @ X0) @ (tc_set @ X0))
% 283.65/41.10 = (c_minus @ c_emptyset @ X1 @ (tc_set @ X0)))),
% 283.65/41.10 inference('s_sup+', [status(thm)], [zip_derived_cl48, zip_derived_cl71])).
% 283.65/41.10 thf(zip_derived_cl15, plain,
% 283.65/41.10 (![X0 : $i, X1 : $i]: ((c_union @ c_UNIV @ X0 @ X1) = (c_UNIV))),
% 283.65/41.10 inference('cnf', [status(esa)], [cls_Set_OUn__UNIV__left_0])).
% 283.65/41.10 thf(zip_derived_cl9, plain,
% 283.65/41.10 (![X0 : $i]: ((c_uminus @ c_UNIV @ (tc_set @ X0)) = (c_emptyset))),
% 283.65/41.10 inference('cnf', [status(esa)], [cls_Set_OCompl__UNIV__eq_0])).
% 283.65/41.10 thf(zip_derived_cl286, plain,
% 283.65/41.10 (![X0 : $i, X1 : $i]:
% 283.65/41.10 ((c_emptyset) = (c_minus @ c_emptyset @ X1 @ (tc_set @ X0)))),
% 283.65/41.10 inference('demod', [status(thm)],
% 283.65/41.10 [zip_derived_cl277, zip_derived_cl15, zip_derived_cl9])).
% 283.65/41.10 thf(zip_derived_cl3699, plain,
% 283.65/41.10 (![X0 : $i, X1 : $i, X2 : $i]:
% 283.65/41.10 ((c_minus @ X2 @ (c_union @ X2 @ X1 @ X0) @ (tc_set @ X0))
% 283.65/41.10 = (c_emptyset))),
% 283.65/41.10 inference('demod', [status(thm)], [zip_derived_cl3683, zip_derived_cl286])).
% 283.65/41.10 thf(zip_derived_cl6756, plain,
% 283.65/41.10 (((c_minus @ v_a @ (c_uminus @ v_u @ (tc_set @ t_a)) @ (tc_set @ t_a))
% 283.65/41.10 = (c_emptyset))),
% 283.65/41.10 inference('s_sup+', [status(thm)],
% 283.65/41.10 [zip_derived_cl1380, zip_derived_cl3699])).
% 283.65/41.10 thf(zip_derived_cl10, plain,
% 283.65/41.10 (![X0 : $i, X1 : $i, X2 : $i]:
% 283.65/41.10 ((c_minus @ X0 @ (c_uminus @ X1 @ (tc_set @ X2)) @ (tc_set @ X2))
% 283.65/41.10 = (c_inter @ X0 @ X1 @ X2))),
% 283.65/41.10 inference('cnf', [status(esa)], [cls_Set_ODiff__Compl_0])).
% 283.65/41.10 thf(zip_derived_cl6817, plain,
% 283.65/41.10 (((c_emptyset) = (c_inter @ v_a @ v_u @ t_a))),
% 283.65/41.10 inference('s_sup+', [status(thm)], [zip_derived_cl6756, zip_derived_cl10])).
% 283.65/41.10 thf(zip_derived_cl14, plain,
% 283.65/41.10 (![X0 : $i, X1 : $i, X2 : $i]:
% 283.65/41.10 ((c_union @ X0 @ (c_minus @ X1 @ X0 @ (tc_set @ X2)) @ X2)
% 283.65/41.10 = (c_union @ X0 @ X1 @ X2))),
% 283.65/41.10 inference('cnf', [status(esa)], [cls_Set_OUn__Diff__cancel_0])).
% 283.65/41.10 thf(zip_derived_cl71, plain,
% 283.65/41.10 (![X0 : $i, X1 : $i, X2 : $i]:
% 283.65/41.10 ((c_uminus @ (c_union @ (c_uminus @ X2 @ (tc_set @ X0)) @ X1 @ X0) @
% 283.65/41.10 (tc_set @ X0)) = (c_minus @ X2 @ X1 @ (tc_set @ X0)))),
% 283.65/41.10 inference('s_sup+', [status(thm)], [zip_derived_cl8, zip_derived_cl23])).
% 283.65/41.10 thf(zip_derived_cl275, plain,
% 283.65/41.10 (![X0 : $i, X1 : $i, X2 : $i]:
% 283.65/41.10 ((c_uminus @ (c_union @ (c_uminus @ X2 @ (tc_set @ X0)) @ X1 @ X0) @
% 283.65/41.10 (tc_set @ X0))
% 283.65/41.10 = (c_minus @ X2 @
% 283.65/41.10 (c_minus @ X1 @ (c_uminus @ X2 @ (tc_set @ X0)) @ (tc_set @ X0)) @
% 283.65/41.10 (tc_set @ X0)))),
% 283.65/41.10 inference('s_sup+', [status(thm)], [zip_derived_cl14, zip_derived_cl71])).
% 283.65/41.10 thf(zip_derived_cl71, plain,
% 283.65/41.10 (![X0 : $i, X1 : $i, X2 : $i]:
% 283.65/41.10 ((c_uminus @ (c_union @ (c_uminus @ X2 @ (tc_set @ X0)) @ X1 @ X0) @
% 283.65/41.10 (tc_set @ X0)) = (c_minus @ X2 @ X1 @ (tc_set @ X0)))),
% 283.65/41.10 inference('s_sup+', [status(thm)], [zip_derived_cl8, zip_derived_cl23])).
% 283.65/41.10 thf(zip_derived_cl10, plain,
% 283.65/41.10 (![X0 : $i, X1 : $i, X2 : $i]:
% 283.65/41.10 ((c_minus @ X0 @ (c_uminus @ X1 @ (tc_set @ X2)) @ (tc_set @ X2))
% 283.65/41.10 = (c_inter @ X0 @ X1 @ X2))),
% 283.65/41.10 inference('cnf', [status(esa)], [cls_Set_ODiff__Compl_0])).
% 283.65/41.10 thf(zip_derived_cl284, plain,
% 283.65/41.10 (![X0 : $i, X1 : $i, X2 : $i]:
% 283.65/41.10 ((c_minus @ X2 @ X1 @ (tc_set @ X0))
% 283.65/41.10 = (c_minus @ X2 @ (c_inter @ X1 @ X2 @ X0) @ (tc_set @ X0)))),
% 283.65/41.10 inference('demod', [status(thm)],
% 283.65/41.10 [zip_derived_cl275, zip_derived_cl71, zip_derived_cl10])).
% 283.65/41.10 thf(zip_derived_cl6851, plain,
% 283.65/41.10 (((c_minus @ v_u @ v_a @ (tc_set @ t_a))
% 283.65/41.10 = (c_minus @ v_u @ c_emptyset @ (tc_set @ t_a)))),
% 283.65/41.10 inference('s_sup+', [status(thm)],
% 283.65/41.10 [zip_derived_cl6817, zip_derived_cl284])).
% 283.65/41.10 thf(cls_Set_OUn__empty__right_0, axiom,
% 283.65/41.10 (( c_union @ V_y @ c_emptyset @ T_a ) = ( V_y ))).
% 283.65/41.10 thf(zip_derived_cl19, plain,
% 283.65/41.10 (![X0 : $i, X1 : $i]: ((c_union @ X0 @ c_emptyset @ X1) = (X0))),
% 283.65/41.10 inference('cnf', [status(esa)], [cls_Set_OUn__empty__right_0])).
% 283.65/41.10 thf(zip_derived_cl13, plain,
% 283.65/41.10 (![X0 : $i, X1 : $i, X2 : $i]:
% 283.65/41.10 ((c_union @ (c_minus @ X0 @ X1 @ (tc_set @ X2)) @ X1 @ X2)
% 283.65/41.10 = (c_union @ X0 @ X1 @ X2))),
% 283.65/41.10 inference('cnf', [status(esa)], [cls_Set_OUn__Diff__cancel2_0])).
% 283.65/41.10 thf(zip_derived_cl84, plain,
% 283.65/41.10 (![X0 : $i, X1 : $i]:
% 283.65/41.10 ((c_minus @ X1 @ c_emptyset @ (tc_set @ X0))
% 283.65/41.10 = (c_union @ X1 @ c_emptyset @ X0))),
% 283.65/41.10 inference('s_sup+', [status(thm)], [zip_derived_cl19, zip_derived_cl13])).
% 283.65/41.10 thf(zip_derived_cl19, plain,
% 283.65/41.10 (![X0 : $i, X1 : $i]: ((c_union @ X0 @ c_emptyset @ X1) = (X0))),
% 283.65/41.10 inference('cnf', [status(esa)], [cls_Set_OUn__empty__right_0])).
% 283.65/41.10 thf(zip_derived_cl86, plain,
% 283.65/41.10 (![X0 : $i, X1 : $i]:
% 283.65/41.10 ((c_minus @ X1 @ c_emptyset @ (tc_set @ X0)) = (X1))),
% 283.65/41.10 inference('demod', [status(thm)], [zip_derived_cl84, zip_derived_cl19])).
% 283.65/41.10 thf(zip_derived_cl6871, plain,
% 283.65/41.10 (((c_minus @ v_u @ v_a @ (tc_set @ t_a)) = (v_u))),
% 283.65/41.10 inference('demod', [status(thm)], [zip_derived_cl6851, zip_derived_cl86])).
% 283.65/41.10 thf(zip_derived_cl287, plain,
% 283.65/41.10 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 283.65/41.10 ((c_minus @ X2 @ (c_union @ X1 @ X3 @ X0) @ (tc_set @ X0))
% 283.65/41.10 = (c_minus @ (c_minus @ X2 @ X1 @ (tc_set @ X0)) @ X3 @
% 283.65/41.10 (tc_set @ X0)))),
% 283.65/41.10 inference('demod', [status(thm)],
% 283.65/41.10 [zip_derived_cl280, zip_derived_cl17, zip_derived_cl71])).
% 283.65/41.10 thf(zip_derived_cl6885, plain,
% 283.65/41.10 (![X0 : $i]:
% 283.65/41.10 ((c_minus @ v_u @ (c_union @ v_a @ X0 @ t_a) @ (tc_set @ t_a))
% 283.65/41.10 = (c_minus @ v_u @ X0 @ (tc_set @ t_a)))),
% 283.65/41.10 inference('s_sup+', [status(thm)],
% 283.65/41.10 [zip_derived_cl6871, zip_derived_cl287])).
% 283.65/41.10 thf(zip_derived_cl10040, plain,
% 283.65/41.10 (((c_minus @ v_u @ c_UNIV @ (tc_set @ t_a))
% 283.65/41.10 = (c_minus @ v_u @ (c_uminus @ v_a @ (tc_set @ t_a)) @ (tc_set @ t_a)))),
% 283.65/41.10 inference('s_sup+', [status(thm)],
% 283.65/41.10 [zip_derived_cl505, zip_derived_cl6885])).
% 283.65/41.10 thf(zip_derived_cl254, plain,
% 283.65/41.10 (![X0 : $i, X1 : $i]: ((c_UNIV) = (c_union @ X1 @ c_UNIV @ X0))),
% 283.65/41.10 inference('s_sup-', [status(thm)], [zip_derived_cl74, zip_derived_cl230])).
% 283.65/41.10 thf(zip_derived_cl71, plain,
% 283.65/41.10 (![X0 : $i, X1 : $i, X2 : $i]:
% 283.65/41.10 ((c_uminus @ (c_union @ (c_uminus @ X2 @ (tc_set @ X0)) @ X1 @ X0) @
% 283.65/41.10 (tc_set @ X0)) = (c_minus @ X2 @ X1 @ (tc_set @ X0)))),
% 283.65/41.10 inference('s_sup+', [status(thm)], [zip_derived_cl8, zip_derived_cl23])).
% 283.65/41.10 thf(zip_derived_cl276, plain,
% 283.65/41.10 (![X0 : $i, X1 : $i]:
% 283.65/41.10 ((c_uminus @ c_UNIV @ (tc_set @ X0))
% 283.65/41.10 = (c_minus @ X1 @ c_UNIV @ (tc_set @ X0)))),
% 283.65/41.10 inference('s_sup+', [status(thm)], [zip_derived_cl254, zip_derived_cl71])).
% 283.65/41.10 thf(zip_derived_cl9, plain,
% 283.65/41.10 (![X0 : $i]: ((c_uminus @ c_UNIV @ (tc_set @ X0)) = (c_emptyset))),
% 283.65/41.10 inference('cnf', [status(esa)], [cls_Set_OCompl__UNIV__eq_0])).
% 283.65/41.10 thf(zip_derived_cl285, plain,
% 283.65/41.10 (![X0 : $i, X1 : $i]:
% 283.65/41.10 ((c_emptyset) = (c_minus @ X1 @ c_UNIV @ (tc_set @ X0)))),
% 283.65/41.10 inference('demod', [status(thm)], [zip_derived_cl276, zip_derived_cl9])).
% 283.65/41.10 thf(zip_derived_cl10, plain,
% 283.65/41.10 (![X0 : $i, X1 : $i, X2 : $i]:
% 283.65/41.10 ((c_minus @ X0 @ (c_uminus @ X1 @ (tc_set @ X2)) @ (tc_set @ X2))
% 283.65/41.10 = (c_inter @ X0 @ X1 @ X2))),
% 283.65/41.10 inference('cnf', [status(esa)], [cls_Set_ODiff__Compl_0])).
% 283.65/41.10 thf(zip_derived_cl10051, plain,
% 283.65/41.10 (((c_emptyset) = (c_inter @ v_u @ v_a @ t_a))),
% 283.65/41.10 inference('demod', [status(thm)],
% 283.65/41.10 [zip_derived_cl10040, zip_derived_cl285, zip_derived_cl10])).
% 283.65/41.10 thf(zip_derived_cl284, plain,
% 283.65/41.10 (![X0 : $i, X1 : $i, X2 : $i]:
% 283.65/41.10 ((c_minus @ X2 @ X1 @ (tc_set @ X0))
% 283.65/41.10 = (c_minus @ X2 @ (c_inter @ X1 @ X2 @ X0) @ (tc_set @ X0)))),
% 283.65/41.10 inference('demod', [status(thm)],
% 283.65/41.10 [zip_derived_cl275, zip_derived_cl71, zip_derived_cl10])).
% 283.65/41.10 thf(zip_derived_cl10087, plain,
% 283.65/41.10 (((c_minus @ v_a @ v_u @ (tc_set @ t_a))
% 283.65/41.10 = (c_minus @ v_a @ c_emptyset @ (tc_set @ t_a)))),
% 283.65/41.10 inference('s_sup+', [status(thm)],
% 283.65/41.10 [zip_derived_cl10051, zip_derived_cl284])).
% 283.65/41.10 thf(zip_derived_cl86, plain,
% 283.65/41.10 (![X0 : $i, X1 : $i]:
% 283.65/41.10 ((c_minus @ X1 @ c_emptyset @ (tc_set @ X0)) = (X1))),
% 283.65/41.10 inference('demod', [status(thm)], [zip_derived_cl84, zip_derived_cl19])).
% 283.65/41.10 thf(zip_derived_cl10109, plain,
% 283.65/41.10 (((c_minus @ v_a @ v_u @ (tc_set @ t_a)) = (v_a))),
% 283.65/41.10 inference('demod', [status(thm)], [zip_derived_cl10087, zip_derived_cl86])).
% 283.65/41.10 thf(zip_derived_cl505, plain,
% 283.65/41.10 (![X0 : $i, X1 : $i]:
% 283.65/41.10 ((c_union @ X1 @ (c_uminus @ X1 @ (tc_set @ X0)) @ X0) = (c_UNIV))),
% 283.65/41.10 inference('demod', [status(thm)], [zip_derived_cl497, zip_derived_cl254])).
% 283.65/41.10 thf(cls_conjecture_2, conjecture,
% 283.65/41.10 (( c_inter @ v_a @ v_t @ t_a ) != ( c_emptyset ))).
% 283.65/41.10 thf(zf_stmt_1, negated_conjecture,
% 283.65/41.10 (( c_inter @ v_a @ v_t @ t_a ) = ( c_emptyset )),
% 283.65/41.10 inference('cnf.neg', [status(esa)], [cls_conjecture_2])).
% 283.65/41.10 thf(zip_derived_cl1, plain, (((c_inter @ v_a @ v_t @ t_a) = (c_emptyset))),
% 283.65/41.10 inference('cnf', [status(esa)], [zf_stmt_1])).
% 283.65/41.10 thf(zip_derived_cl10, plain,
% 283.65/41.10 (![X0 : $i, X1 : $i, X2 : $i]:
% 283.65/41.10 ((c_minus @ X0 @ (c_uminus @ X1 @ (tc_set @ X2)) @ (tc_set @ X2))
% 283.65/41.10 = (c_inter @ X0 @ X1 @ X2))),
% 283.65/41.10 inference('cnf', [status(esa)], [cls_Set_ODiff__Compl_0])).
% 283.65/41.10 thf(zip_derived_cl14, plain,
% 283.65/41.10 (![X0 : $i, X1 : $i, X2 : $i]:
% 283.65/41.10 ((c_union @ X0 @ (c_minus @ X1 @ X0 @ (tc_set @ X2)) @ X2)
% 283.65/41.10 = (c_union @ X0 @ X1 @ X2))),
% 283.65/41.10 inference('cnf', [status(esa)], [cls_Set_OUn__Diff__cancel_0])).
% 283.65/41.10 thf(zip_derived_cl92, plain,
% 283.65/41.10 (![X0 : $i, X1 : $i, X2 : $i]:
% 283.65/41.10 ((c_union @ (c_uminus @ X1 @ (tc_set @ X0)) @
% 283.65/41.10 (c_inter @ X2 @ X1 @ X0) @ X0)
% 283.65/41.10 = (c_union @ (c_uminus @ X1 @ (tc_set @ X0)) @ X2 @ X0))),
% 283.65/41.10 inference('s_sup+', [status(thm)], [zip_derived_cl10, zip_derived_cl14])).
% 283.65/41.10 thf(zip_derived_cl926, plain,
% 283.65/41.10 (((c_union @ (c_uminus @ v_t @ (tc_set @ t_a)) @ c_emptyset @ t_a)
% 283.65/41.10 = (c_union @ (c_uminus @ v_t @ (tc_set @ t_a)) @ v_a @ t_a))),
% 283.65/41.10 inference('s_sup+', [status(thm)], [zip_derived_cl1, zip_derived_cl92])).
% 283.65/41.10 thf(zip_derived_cl19, plain,
% 283.65/41.10 (![X0 : $i, X1 : $i]: ((c_union @ X0 @ c_emptyset @ X1) = (X0))),
% 283.65/41.10 inference('cnf', [status(esa)], [cls_Set_OUn__empty__right_0])).
% 283.65/41.10 thf(zip_derived_cl939, plain,
% 283.65/41.10 (((c_uminus @ v_t @ (tc_set @ t_a))
% 283.65/41.10 = (c_union @ (c_uminus @ v_t @ (tc_set @ t_a)) @ v_a @ t_a))),
% 283.65/41.10 inference('demod', [status(thm)], [zip_derived_cl926, zip_derived_cl19])).
% 283.65/41.10 thf(zip_derived_cl71, plain,
% 283.65/41.10 (![X0 : $i, X1 : $i, X2 : $i]:
% 283.65/41.10 ((c_uminus @ (c_union @ (c_uminus @ X2 @ (tc_set @ X0)) @ X1 @ X0) @
% 283.65/41.10 (tc_set @ X0)) = (c_minus @ X2 @ X1 @ (tc_set @ X0)))),
% 283.65/41.10 inference('s_sup+', [status(thm)], [zip_derived_cl8, zip_derived_cl23])).
% 283.65/41.10 thf(zip_derived_cl964, plain,
% 283.65/41.10 (((c_uminus @ (c_uminus @ v_t @ (tc_set @ t_a)) @ (tc_set @ t_a))
% 283.65/41.10 = (c_minus @ v_t @ v_a @ (tc_set @ t_a)))),
% 283.65/41.10 inference('s_sup+', [status(thm)], [zip_derived_cl939, zip_derived_cl71])).
% 283.65/41.10 thf(zip_derived_cl23, plain,
% 283.65/41.10 (![X0 : $i, X1 : $i]:
% 283.65/41.10 ((c_uminus @ (c_uminus @ X0 @ (tc_set @ X1)) @ (tc_set @ X1)) = (X0))),
% 283.65/41.10 inference('cnf', [status(esa)], [cls_Set_Odouble__complement_0])).
% 283.65/41.10 thf(zip_derived_cl969, plain,
% 283.65/41.10 (((v_t) = (c_minus @ v_t @ v_a @ (tc_set @ t_a)))),
% 283.65/41.10 inference('demod', [status(thm)], [zip_derived_cl964, zip_derived_cl23])).
% 283.65/41.10 thf(zip_derived_cl287, plain,
% 283.65/41.10 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 283.65/41.10 ((c_minus @ X2 @ (c_union @ X1 @ X3 @ X0) @ (tc_set @ X0))
% 283.65/41.10 = (c_minus @ (c_minus @ X2 @ X1 @ (tc_set @ X0)) @ X3 @
% 283.65/41.10 (tc_set @ X0)))),
% 283.65/41.10 inference('demod', [status(thm)],
% 283.65/41.10 [zip_derived_cl280, zip_derived_cl17, zip_derived_cl71])).
% 283.65/41.10 thf(zip_derived_cl3691, plain,
% 283.65/41.10 (![X0 : $i]:
% 283.65/41.10 ((c_minus @ v_t @ (c_union @ v_a @ X0 @ t_a) @ (tc_set @ t_a))
% 283.65/41.10 = (c_minus @ v_t @ X0 @ (tc_set @ t_a)))),
% 283.65/41.10 inference('s_sup+', [status(thm)], [zip_derived_cl969, zip_derived_cl287])).
% 283.65/41.10 thf(zip_derived_cl4120, plain,
% 283.65/41.10 (((c_minus @ v_t @ c_UNIV @ (tc_set @ t_a))
% 283.65/41.10 = (c_minus @ v_t @ (c_uminus @ v_a @ (tc_set @ t_a)) @ (tc_set @ t_a)))),
% 283.65/41.10 inference('s_sup+', [status(thm)],
% 283.65/41.10 [zip_derived_cl505, zip_derived_cl3691])).
% 283.65/41.10 thf(zip_derived_cl285, plain,
% 283.65/41.10 (![X0 : $i, X1 : $i]:
% 283.65/41.10 ((c_emptyset) = (c_minus @ X1 @ c_UNIV @ (tc_set @ X0)))),
% 283.65/41.10 inference('demod', [status(thm)], [zip_derived_cl276, zip_derived_cl9])).
% 283.65/41.10 thf(zip_derived_cl10, plain,
% 283.65/41.10 (![X0 : $i, X1 : $i, X2 : $i]:
% 283.65/41.10 ((c_minus @ X0 @ (c_uminus @ X1 @ (tc_set @ X2)) @ (tc_set @ X2))
% 283.65/41.10 = (c_inter @ X0 @ X1 @ X2))),
% 283.65/41.10 inference('cnf', [status(esa)], [cls_Set_ODiff__Compl_0])).
% 283.65/41.10 thf(zip_derived_cl4131, plain,
% 283.65/41.10 (((c_emptyset) = (c_inter @ v_t @ v_a @ t_a))),
% 283.65/41.10 inference('demod', [status(thm)],
% 283.65/41.10 [zip_derived_cl4120, zip_derived_cl285, zip_derived_cl10])).
% 283.65/41.10 thf(zip_derived_cl284, plain,
% 283.65/41.10 (![X0 : $i, X1 : $i, X2 : $i]:
% 283.65/41.10 ((c_minus @ X2 @ X1 @ (tc_set @ X0))
% 283.65/41.10 = (c_minus @ X2 @ (c_inter @ X1 @ X2 @ X0) @ (tc_set @ X0)))),
% 283.65/41.10 inference('demod', [status(thm)],
% 283.65/41.10 [zip_derived_cl275, zip_derived_cl71, zip_derived_cl10])).
% 283.65/41.10 thf(zip_derived_cl4151, plain,
% 283.65/41.10 (((c_minus @ v_a @ v_t @ (tc_set @ t_a))
% 283.65/41.10 = (c_minus @ v_a @ c_emptyset @ (tc_set @ t_a)))),
% 283.65/41.10 inference('s_sup+', [status(thm)],
% 283.65/41.10 [zip_derived_cl4131, zip_derived_cl284])).
% 283.65/41.10 thf(zip_derived_cl86, plain,
% 283.65/41.10 (![X0 : $i, X1 : $i]:
% 283.65/41.10 ((c_minus @ X1 @ c_emptyset @ (tc_set @ X0)) = (X1))),
% 283.65/41.10 inference('demod', [status(thm)], [zip_derived_cl84, zip_derived_cl19])).
% 283.65/41.10 thf(zip_derived_cl4158, plain,
% 283.65/41.10 (((c_minus @ v_a @ v_t @ (tc_set @ t_a)) = (v_a))),
% 283.65/41.10 inference('demod', [status(thm)], [zip_derived_cl4151, zip_derived_cl86])).
% 283.65/41.10 thf(zip_derived_cl287, plain,
% 283.65/41.10 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 283.65/41.10 ((c_minus @ X2 @ (c_union @ X1 @ X3 @ X0) @ (tc_set @ X0))
% 283.65/41.10 = (c_minus @ (c_minus @ X2 @ X1 @ (tc_set @ X0)) @ X3 @
% 283.65/41.10 (tc_set @ X0)))),
% 283.65/41.10 inference('demod', [status(thm)],
% 283.65/41.10 [zip_derived_cl280, zip_derived_cl17, zip_derived_cl71])).
% 283.65/41.10 thf(zip_derived_cl4169, plain,
% 283.65/41.10 (![X0 : $i]:
% 283.65/41.10 ((c_minus @ v_a @ (c_union @ v_t @ X0 @ t_a) @ (tc_set @ t_a))
% 283.65/41.10 = (c_minus @ v_a @ X0 @ (tc_set @ t_a)))),
% 283.65/41.10 inference('s_sup+', [status(thm)],
% 283.65/41.10 [zip_derived_cl4158, zip_derived_cl287])).
% 283.65/41.10 thf(zip_derived_cl559, plain,
% 283.65/41.10 (![X0 : $i, X1 : $i]:
% 283.65/41.10 ((c_emptyset) = (c_minus @ X1 @ X1 @ (tc_set @ X0)))),
% 283.65/41.10 inference('demod', [status(thm)], [zip_derived_cl550, zip_derived_cl9])).
% 283.65/41.10 thf(zip_derived_cl287, plain,
% 283.65/41.10 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 283.65/41.10 ((c_minus @ X2 @ (c_union @ X1 @ X3 @ X0) @ (tc_set @ X0))
% 283.65/41.10 = (c_minus @ (c_minus @ X2 @ X1 @ (tc_set @ X0)) @ X3 @
% 283.65/41.10 (tc_set @ X0)))),
% 283.65/41.10 inference('demod', [status(thm)],
% 283.65/41.10 [zip_derived_cl280, zip_derived_cl17, zip_derived_cl71])).
% 283.65/41.10 thf(zip_derived_cl3682, plain,
% 283.65/41.10 (![X0 : $i, X1 : $i, X2 : $i]:
% 283.65/41.10 ((c_minus @ X2 @
% 283.65/41.10 (c_union @ X1 @ (c_minus @ X2 @ X1 @ (tc_set @ X0)) @ X0) @
% 283.65/41.10 (tc_set @ X0)) = (c_emptyset))),
% 283.65/41.10 inference('s_sup+', [status(thm)], [zip_derived_cl559, zip_derived_cl287])).
% 283.65/41.10 thf(zip_derived_cl14, plain,
% 283.65/41.10 (![X0 : $i, X1 : $i, X2 : $i]:
% 283.65/41.10 ((c_union @ X0 @ (c_minus @ X1 @ X0 @ (tc_set @ X2)) @ X2)
% 283.65/41.10 = (c_union @ X0 @ X1 @ X2))),
% 283.65/41.10 inference('cnf', [status(esa)], [cls_Set_OUn__Diff__cancel_0])).
% 283.65/41.10 thf(zip_derived_cl3698, plain,
% 283.65/41.10 (![X0 : $i, X1 : $i, X2 : $i]:
% 283.65/41.10 ((c_minus @ X2 @ (c_union @ X1 @ X2 @ X0) @ (tc_set @ X0))
% 283.65/41.10 = (c_emptyset))),
% 283.65/41.10 inference('demod', [status(thm)], [zip_derived_cl3682, zip_derived_cl14])).
% 283.65/41.10 thf(zip_derived_cl8, plain,
% 283.65/41.10 (![X0 : $i, X1 : $i, X2 : $i]:
% 283.65/41.10 ((c_uminus @ (c_minus @ X0 @ X2 @ (tc_set @ X1)) @ (tc_set @ X1))
% 283.65/41.10 = (c_union @ (c_uminus @ X0 @ (tc_set @ X1)) @ X2 @ X1))),
% 283.65/41.10 inference('cnf', [status(esa)], [cls_Set_OCompl__Diff__eq_0])).
% 283.65/41.10 thf(zip_derived_cl10, plain,
% 283.65/41.10 (![X0 : $i, X1 : $i, X2 : $i]:
% 283.65/41.10 ((c_minus @ X0 @ (c_uminus @ X1 @ (tc_set @ X2)) @ (tc_set @ X2))
% 283.65/41.10 = (c_inter @ X0 @ X1 @ X2))),
% 283.65/41.10 inference('cnf', [status(esa)], [cls_Set_ODiff__Compl_0])).
% 283.65/41.10 thf(zip_derived_cl72, plain,
% 283.65/41.10 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 283.65/41.10 ((c_minus @ X3 @
% 283.65/41.10 (c_union @ (c_uminus @ X2 @ (tc_set @ X0)) @ X1 @ X0) @
% 283.65/41.10 (tc_set @ X0))
% 283.65/41.10 = (c_inter @ X3 @ (c_minus @ X2 @ X1 @ (tc_set @ X0)) @ X0))),
% 283.65/41.10 inference('s_sup+', [status(thm)], [zip_derived_cl8, zip_derived_cl10])).
% 283.65/41.10 thf(zip_derived_cl4684, plain,
% 283.65/41.10 (![X0 : $i, X1 : $i, X2 : $i]:
% 283.65/41.10 ((c_emptyset)
% 283.65/41.10 = (c_inter @ X1 @ (c_minus @ X2 @ X1 @ (tc_set @ X0)) @ X0))),
% 283.65/41.10 inference('s_sup+', [status(thm)], [zip_derived_cl3698, zip_derived_cl72])).
% 283.65/41.10 thf(zip_derived_cl8244, plain,
% 283.65/41.10 (![X0 : $i]:
% 283.65/41.10 ((c_emptyset)
% 283.65/41.10 = (c_inter @ (c_union @ v_t @ X0 @ t_a) @
% 283.65/41.10 (c_minus @ v_a @ X0 @ (tc_set @ t_a)) @ t_a))),
% 283.65/41.10 inference('s_sup+', [status(thm)],
% 283.65/41.10 [zip_derived_cl4169, zip_derived_cl4684])).
% 283.65/41.10 thf(zip_derived_cl13630, plain,
% 283.65/41.10 (((c_emptyset) = (c_inter @ (c_union @ v_t @ v_u @ t_a) @ v_a @ t_a))),
% 283.65/41.10 inference('s_sup+', [status(thm)],
% 283.65/41.10 [zip_derived_cl10109, zip_derived_cl8244])).
% 283.65/41.10 thf(zip_derived_cl85, plain,
% 283.65/41.10 (![X0 : $i, X1 : $i, X2 : $i]:
% 283.65/41.10 ((c_union @ (c_inter @ X2 @ X1 @ X0) @
% 283.65/41.10 (c_uminus @ X1 @ (tc_set @ X0)) @ X0)
% 283.65/41.10 = (c_union @ X2 @ (c_uminus @ X1 @ (tc_set @ X0)) @ X0))),
% 283.65/41.10 inference('s_sup+', [status(thm)], [zip_derived_cl10, zip_derived_cl13])).
% 283.65/41.10 thf(zip_derived_cl13697, plain,
% 283.65/41.10 (((c_union @ c_emptyset @ (c_uminus @ v_a @ (tc_set @ t_a)) @ t_a)
% 283.65/41.10 = (c_union @ (c_union @ v_t @ v_u @ t_a) @
% 283.65/41.10 (c_uminus @ v_a @ (tc_set @ t_a)) @ t_a))),
% 283.65/41.10 inference('s_sup+', [status(thm)],
% 283.65/41.10 [zip_derived_cl13630, zip_derived_cl85])).
% 283.65/41.10 thf(zip_derived_cl18, plain,
% 283.65/41.10 (![X0 : $i, X1 : $i]: ((c_union @ c_emptyset @ X0 @ X1) = (X0))),
% 283.65/41.10 inference('cnf', [status(esa)], [cls_Set_OUn__empty__left_0])).
% 283.65/41.10 thf(zip_derived_cl13721, plain,
% 283.65/41.10 (((c_uminus @ v_a @ (tc_set @ t_a))
% 283.65/41.10 = (c_union @ (c_union @ v_t @ v_u @ t_a) @
% 283.65/41.10 (c_uminus @ v_a @ (tc_set @ t_a)) @ t_a))),
% 283.65/41.10 inference('demod', [status(thm)], [zip_derived_cl13697, zip_derived_cl18])).
% 283.65/41.10 thf(zip_derived_cl3699, plain,
% 283.65/41.10 (![X0 : $i, X1 : $i, X2 : $i]:
% 283.65/41.10 ((c_minus @ X2 @ (c_union @ X2 @ X1 @ X0) @ (tc_set @ X0))
% 283.65/41.10 = (c_emptyset))),
% 283.65/41.10 inference('demod', [status(thm)], [zip_derived_cl3683, zip_derived_cl286])).
% 283.65/41.10 thf(zip_derived_cl14204, plain,
% 283.65/41.10 (((c_minus @ (c_union @ v_t @ v_u @ t_a) @
% 283.65/41.10 (c_uminus @ v_a @ (tc_set @ t_a)) @ (tc_set @ t_a)) = (c_emptyset))),
% 283.65/41.10 inference('s_sup+', [status(thm)],
% 283.65/41.10 [zip_derived_cl13721, zip_derived_cl3699])).
% 283.65/41.10 thf(zip_derived_cl17, plain,
% 283.65/41.10 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 283.65/41.10 ((c_union @ (c_union @ X0 @ X1 @ X3) @ X2 @ X3)
% 283.65/41.10 = (c_union @ X0 @ (c_union @ X1 @ X2 @ X3) @ X3))),
% 283.65/41.10 inference('cnf', [status(esa)], [cls_Set_OUn__assoc_0])).
% 283.65/41.10 thf(zip_derived_cl14, plain,
% 283.65/41.10 (![X0 : $i, X1 : $i, X2 : $i]:
% 283.65/41.10 ((c_union @ X0 @ (c_minus @ X1 @ X0 @ (tc_set @ X2)) @ X2)
% 283.65/41.10 = (c_union @ X0 @ X1 @ X2))),
% 283.65/41.10 inference('cnf', [status(esa)], [cls_Set_OUn__Diff__cancel_0])).
% 283.65/41.10 thf(zip_derived_cl101, plain,
% 283.65/41.10 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 283.65/41.10 ((c_union @ X2 @
% 283.65/41.10 (c_union @ X1 @
% 283.65/41.10 (c_minus @ X3 @ (c_union @ X2 @ X1 @ X0) @ (tc_set @ X0)) @ X0) @
% 283.65/41.10 X0) = (c_union @ (c_union @ X2 @ X1 @ X0) @ X3 @ X0))),
% 283.65/41.10 inference('s_sup+', [status(thm)], [zip_derived_cl17, zip_derived_cl14])).
% 283.65/41.10 thf(zip_derived_cl17, plain,
% 283.65/41.10 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 283.65/41.10 ((c_union @ (c_union @ X0 @ X1 @ X3) @ X2 @ X3)
% 283.65/41.10 = (c_union @ X0 @ (c_union @ X1 @ X2 @ X3) @ X3))),
% 283.65/41.10 inference('cnf', [status(esa)], [cls_Set_OUn__assoc_0])).
% 283.65/41.10 thf(zip_derived_cl117, plain,
% 283.65/41.10 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 283.65/41.10 ((c_union @ X2 @
% 283.65/41.10 (c_union @ X1 @
% 283.65/41.10 (c_minus @ X3 @ (c_union @ X2 @ X1 @ X0) @ (tc_set @ X0)) @ X0) @
% 283.65/41.10 X0) = (c_union @ X2 @ (c_union @ X1 @ X3 @ X0) @ X0))),
% 283.65/41.10 inference('demod', [status(thm)], [zip_derived_cl101, zip_derived_cl17])).
% 283.65/41.10 thf(zip_derived_cl71, plain,
% 283.65/41.10 (![X0 : $i, X1 : $i, X2 : $i]:
% 283.65/41.10 ((c_uminus @ (c_union @ (c_uminus @ X2 @ (tc_set @ X0)) @ X1 @ X0) @
% 283.65/41.10 (tc_set @ X0)) = (c_minus @ X2 @ X1 @ (tc_set @ X0)))),
% 283.65/41.10 inference('s_sup+', [status(thm)], [zip_derived_cl8, zip_derived_cl23])).
% 283.65/41.10 thf(zip_derived_cl1626, plain,
% 283.65/41.10 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 283.65/41.10 ((c_uminus @
% 283.65/41.10 (c_union @ (c_uminus @ X3 @ (tc_set @ X0)) @
% 283.65/41.10 (c_union @ X2 @ X1 @ X0) @ X0) @
% 283.65/41.10 (tc_set @ X0))
% 283.65/41.10 = (c_minus @ X3 @
% 283.65/41.10 (c_union @ X2 @
% 283.65/41.10 (c_minus @ X1 @
% 283.65/41.10 (c_union @ (c_uminus @ X3 @ (tc_set @ X0)) @ X2 @ X0) @
% 283.65/41.10 (tc_set @ X0)) @
% 283.65/41.10 X0) @
% 283.65/41.10 (tc_set @ X0)))),
% 283.65/41.10 inference('s_sup+', [status(thm)], [zip_derived_cl117, zip_derived_cl71])).
% 283.65/41.10 thf(zip_derived_cl71, plain,
% 283.65/41.10 (![X0 : $i, X1 : $i, X2 : $i]:
% 283.65/41.10 ((c_uminus @ (c_union @ (c_uminus @ X2 @ (tc_set @ X0)) @ X1 @ X0) @
% 283.65/41.10 (tc_set @ X0)) = (c_minus @ X2 @ X1 @ (tc_set @ X0)))),
% 283.65/41.10 inference('s_sup+', [status(thm)], [zip_derived_cl8, zip_derived_cl23])).
% 283.65/41.10 thf(zip_derived_cl72, plain,
% 283.65/41.10 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 283.65/41.10 ((c_minus @ X3 @
% 283.65/41.10 (c_union @ (c_uminus @ X2 @ (tc_set @ X0)) @ X1 @ X0) @
% 283.65/41.10 (tc_set @ X0))
% 283.65/41.10 = (c_inter @ X3 @ (c_minus @ X2 @ X1 @ (tc_set @ X0)) @ X0))),
% 283.65/41.10 inference('s_sup+', [status(thm)], [zip_derived_cl8, zip_derived_cl10])).
% 283.65/41.10 thf(zip_derived_cl1700, plain,
% 283.65/41.10 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 283.65/41.10 ((c_minus @ X3 @ (c_union @ X2 @ X1 @ X0) @ (tc_set @ X0))
% 283.65/41.10 = (c_minus @ X3 @
% 283.65/41.10 (c_union @ X2 @
% 283.65/41.10 (c_inter @ X1 @ (c_minus @ X3 @ X2 @ (tc_set @ X0)) @ X0) @ X0) @
% 283.65/41.10 (tc_set @ X0)))),
% 283.65/41.10 inference('demod', [status(thm)],
% 283.65/41.10 [zip_derived_cl1626, zip_derived_cl71, zip_derived_cl72])).
% 283.65/41.10 thf(zip_derived_cl100485, plain,
% 283.65/41.10 (![X0 : $i]:
% 283.65/41.10 ((c_minus @ (c_union @ v_t @ v_u @ t_a) @
% 283.65/41.10 (c_union @ (c_uminus @ v_a @ (tc_set @ t_a)) @ X0 @ t_a) @
% 283.65/41.10 (tc_set @ t_a))
% 283.65/41.10 = (c_minus @ (c_union @ v_t @ v_u @ t_a) @
% 283.65/41.10 (c_union @ (c_uminus @ v_a @ (tc_set @ t_a)) @
% 283.65/41.10 (c_inter @ X0 @ c_emptyset @ t_a) @ t_a) @
% 283.65/41.10 (tc_set @ t_a)))),
% 283.65/41.10 inference('s_sup+', [status(thm)],
% 283.65/41.10 [zip_derived_cl14204, zip_derived_cl1700])).
% 283.65/41.10 thf(zip_derived_cl72, plain,
% 283.65/41.10 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 283.65/41.10 ((c_minus @ X3 @
% 283.65/41.10 (c_union @ (c_uminus @ X2 @ (tc_set @ X0)) @ X1 @ X0) @
% 283.65/41.10 (tc_set @ X0))
% 283.65/41.10 = (c_inter @ X3 @ (c_minus @ X2 @ X1 @ (tc_set @ X0)) @ X0))),
% 283.65/41.10 inference('s_sup+', [status(thm)], [zip_derived_cl8, zip_derived_cl10])).
% 283.65/41.10 thf(zip_derived_cl48, plain,
% 283.65/41.10 (![X0 : $i]: ((c_uminus @ c_emptyset @ (tc_set @ X0)) = (c_UNIV))),
% 283.65/41.10 inference('s_sup+', [status(thm)], [zip_derived_cl9, zip_derived_cl23])).
% 283.65/41.10 thf(zip_derived_cl10, plain,
% 283.65/41.10 (![X0 : $i, X1 : $i, X2 : $i]:
% 283.65/41.10 ((c_minus @ X0 @ (c_uminus @ X1 @ (tc_set @ X2)) @ (tc_set @ X2))
% 283.65/41.10 = (c_inter @ X0 @ X1 @ X2))),
% 283.65/41.10 inference('cnf', [status(esa)], [cls_Set_ODiff__Compl_0])).
% 283.65/41.10 thf(zip_derived_cl67, plain,
% 283.65/41.10 (![X0 : $i, X1 : $i]:
% 283.65/41.10 ((c_minus @ X1 @ c_UNIV @ (tc_set @ X0))
% 283.65/41.10 = (c_inter @ X1 @ c_emptyset @ X0))),
% 283.65/41.10 inference('s_sup+', [status(thm)], [zip_derived_cl48, zip_derived_cl10])).
% 283.65/41.10 thf(zip_derived_cl285, plain,
% 283.65/41.10 (![X0 : $i, X1 : $i]:
% 283.65/41.10 ((c_emptyset) = (c_minus @ X1 @ c_UNIV @ (tc_set @ X0)))),
% 283.65/41.10 inference('demod', [status(thm)], [zip_derived_cl276, zip_derived_cl9])).
% 283.65/41.10 thf(zip_derived_cl407, plain,
% 283.65/41.10 (![X0 : $i, X1 : $i]: ((c_emptyset) = (c_inter @ X1 @ c_emptyset @ X0))),
% 283.65/41.10 inference('demod', [status(thm)], [zip_derived_cl67, zip_derived_cl285])).
% 283.65/41.10 thf(zip_derived_cl19, plain,
% 283.65/41.10 (![X0 : $i, X1 : $i]: ((c_union @ X0 @ c_emptyset @ X1) = (X0))),
% 283.65/41.10 inference('cnf', [status(esa)], [cls_Set_OUn__empty__right_0])).
% 283.65/41.10 thf(zip_derived_cl14204, plain,
% 283.65/41.10 (((c_minus @ (c_union @ v_t @ v_u @ t_a) @
% 283.65/41.10 (c_uminus @ v_a @ (tc_set @ t_a)) @ (tc_set @ t_a)) = (c_emptyset))),
% 283.65/41.10 inference('s_sup+', [status(thm)],
% 283.65/41.10 [zip_derived_cl13721, zip_derived_cl3699])).
% 283.65/41.10 thf(zip_derived_cl100601, plain,
% 283.65/41.10 (![X0 : $i]:
% 283.65/41.10 ((c_inter @ (c_union @ v_t @ v_u @ t_a) @
% 283.65/41.10 (c_minus @ v_a @ X0 @ (tc_set @ t_a)) @ t_a) = (c_emptyset))),
% 283.65/41.10 inference('demod', [status(thm)],
% 283.65/41.10 [zip_derived_cl100485, zip_derived_cl72, zip_derived_cl407,
% 283.65/41.10 zip_derived_cl19, zip_derived_cl14204])).
% 283.65/41.10 thf(zip_derived_cl204637, plain,
% 283.65/41.10 (![X0 : $i]:
% 283.65/41.10 ((c_inter @ (c_union @ v_t @ v_u @ t_a) @
% 283.65/41.10 (c_inter @ v_a @ X0 @ t_a) @ t_a) = (c_emptyset))),
% 283.65/41.10 inference('s_sup+', [status(thm)],
% 283.65/41.10 [zip_derived_cl10, zip_derived_cl100601])).
% 283.65/41.10 thf(zip_derived_cl10, plain,
% 283.65/41.10 (![X0 : $i, X1 : $i, X2 : $i]:
% 283.65/41.10 ((c_minus @ X0 @ (c_uminus @ X1 @ (tc_set @ X2)) @ (tc_set @ X2))
% 283.65/41.10 = (c_inter @ X0 @ X1 @ X2))),
% 283.65/41.10 inference('cnf', [status(esa)], [cls_Set_ODiff__Compl_0])).
% 283.65/41.10 thf(zip_derived_cl8, plain,
% 283.65/41.10 (![X0 : $i, X1 : $i, X2 : $i]:
% 283.65/41.10 ((c_uminus @ (c_minus @ X0 @ X2 @ (tc_set @ X1)) @ (tc_set @ X1))
% 283.65/41.10 = (c_union @ (c_uminus @ X0 @ (tc_set @ X1)) @ X2 @ X1))),
% 283.65/41.10 inference('cnf', [status(esa)], [cls_Set_OCompl__Diff__eq_0])).
% 283.65/41.10 thf(zip_derived_cl73, plain,
% 283.65/41.10 (![X0 : $i, X1 : $i, X2 : $i]:
% 283.65/41.10 ((c_uminus @ (c_inter @ X2 @ X1 @ X0) @ (tc_set @ X0))
% 283.65/41.10 = (c_union @ (c_uminus @ X2 @ (tc_set @ X0)) @
% 283.65/41.10 (c_uminus @ X1 @ (tc_set @ X0)) @ X0))),
% 283.65/41.10 inference('s_sup+', [status(thm)], [zip_derived_cl10, zip_derived_cl8])).
% 283.65/41.10 thf(zip_derived_cl17, plain,
% 283.65/41.10 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 283.65/41.10 ((c_union @ (c_union @ X0 @ X1 @ X3) @ X2 @ X3)
% 283.65/41.10 = (c_union @ X0 @ (c_union @ X1 @ X2 @ X3) @ X3))),
% 283.65/41.10 inference('cnf', [status(esa)], [cls_Set_OUn__assoc_0])).
% 283.65/41.10 thf(zip_derived_cl16, plain,
% 283.65/41.10 (![X0 : $i, X1 : $i]: ((c_union @ X0 @ X0 @ X1) = (X0))),
% 283.65/41.10 inference('cnf', [status(esa)], [cls_Set_OUn__absorb_0])).
% 283.65/41.10 thf(zip_derived_cl99, plain,
% 283.65/41.10 (![X0 : $i, X1 : $i, X2 : $i]:
% 283.65/41.10 ((c_union @ X2 @ (c_union @ X1 @ (c_union @ X2 @ X1 @ X0) @ X0) @ X0)
% 283.65/41.10 = (c_union @ X2 @ X1 @ X0))),
% 283.65/41.10 inference('s_sup+', [status(thm)], [zip_derived_cl17, zip_derived_cl16])).
% 283.65/41.10 thf(zip_derived_cl1271, plain,
% 283.65/41.10 (![X0 : $i, X1 : $i, X2 : $i]:
% 283.65/41.10 ((c_union @ (c_uminus @ X2 @ (tc_set @ X0)) @
% 283.65/41.10 (c_union @ (c_uminus @ X1 @ (tc_set @ X0)) @
% 283.65/41.10 (c_uminus @ (c_inter @ X2 @ X1 @ X0) @ (tc_set @ X0)) @ X0) @
% 283.65/41.10 X0) = (c_uminus @ (c_inter @ X2 @ X1 @ X0) @ (tc_set @ X0)))),
% 283.65/41.10 inference('s_sup+', [status(thm)], [zip_derived_cl73, zip_derived_cl99])).
% 283.65/41.10 thf(zip_derived_cl73, plain,
% 283.65/41.10 (![X0 : $i, X1 : $i, X2 : $i]:
% 283.65/41.10 ((c_uminus @ (c_inter @ X2 @ X1 @ X0) @ (tc_set @ X0))
% 283.65/41.10 = (c_union @ (c_uminus @ X2 @ (tc_set @ X0)) @
% 283.65/41.10 (c_uminus @ X1 @ (tc_set @ X0)) @ X0))),
% 283.65/41.10 inference('s_sup+', [status(thm)], [zip_derived_cl10, zip_derived_cl8])).
% 283.65/41.10 thf(zip_derived_cl73, plain,
% 283.65/41.10 (![X0 : $i, X1 : $i, X2 : $i]:
% 283.65/41.10 ((c_uminus @ (c_inter @ X2 @ X1 @ X0) @ (tc_set @ X0))
% 283.65/41.10 = (c_union @ (c_uminus @ X2 @ (tc_set @ X0)) @
% 283.65/41.10 (c_uminus @ X1 @ (tc_set @ X0)) @ X0))),
% 283.65/41.10 inference('s_sup+', [status(thm)], [zip_derived_cl10, zip_derived_cl8])).
% 283.65/41.10 thf(zip_derived_cl1287, plain,
% 283.65/41.10 (![X0 : $i, X1 : $i, X2 : $i]:
% 283.65/41.10 ((c_uminus @
% 283.65/41.10 (c_inter @ X2 @ (c_inter @ X1 @ (c_inter @ X2 @ X1 @ X0) @ X0) @ X0) @
% 283.65/41.10 (tc_set @ X0))
% 283.65/41.10 = (c_uminus @ (c_inter @ X2 @ X1 @ X0) @ (tc_set @ X0)))),
% 283.65/41.10 inference('demod', [status(thm)],
% 283.65/41.10 [zip_derived_cl1271, zip_derived_cl73, zip_derived_cl73])).
% 283.65/41.10 thf(zip_derived_cl204820, plain,
% 283.65/41.10 (((c_uminus @ (c_inter @ v_a @ c_emptyset @ t_a) @ (tc_set @ t_a))
% 283.65/41.10 = (c_uminus @ (c_inter @ v_a @ (c_union @ v_t @ v_u @ t_a) @ t_a) @
% 283.65/41.10 (tc_set @ t_a)))),
% 283.65/41.10 inference('s_sup+', [status(thm)],
% 283.65/41.10 [zip_derived_cl204637, zip_derived_cl1287])).
% 283.65/41.10 thf(zip_derived_cl407, plain,
% 283.65/41.10 (![X0 : $i, X1 : $i]: ((c_emptyset) = (c_inter @ X1 @ c_emptyset @ X0))),
% 283.65/41.10 inference('demod', [status(thm)], [zip_derived_cl67, zip_derived_cl285])).
% 283.65/41.10 thf(zip_derived_cl48, plain,
% 283.65/41.10 (![X0 : $i]: ((c_uminus @ c_emptyset @ (tc_set @ X0)) = (c_UNIV))),
% 283.65/41.10 inference('s_sup+', [status(thm)], [zip_derived_cl9, zip_derived_cl23])).
% 283.65/41.10 thf(zip_derived_cl204927, plain,
% 283.65/41.10 (((c_UNIV)
% 283.65/41.10 = (c_uminus @ (c_inter @ v_a @ (c_union @ v_t @ v_u @ t_a) @ t_a) @
% 283.65/41.10 (tc_set @ t_a)))),
% 283.65/41.10 inference('demod', [status(thm)],
% 283.65/41.10 [zip_derived_cl204820, zip_derived_cl407, zip_derived_cl48])).
% 283.65/41.10 thf(zip_derived_cl23, plain,
% 283.65/41.10 (![X0 : $i, X1 : $i]:
% 283.65/41.10 ((c_uminus @ (c_uminus @ X0 @ (tc_set @ X1)) @ (tc_set @ X1)) = (X0))),
% 283.65/41.10 inference('cnf', [status(esa)], [cls_Set_Odouble__complement_0])).
% 283.65/41.10 thf(zip_derived_cl204930, plain,
% 283.65/41.10 (((c_uminus @ c_UNIV @ (tc_set @ t_a))
% 283.65/41.10 = (c_inter @ v_a @ (c_union @ v_t @ v_u @ t_a) @ t_a))),
% 283.65/41.10 inference('s_sup+', [status(thm)],
% 283.65/41.10 [zip_derived_cl204927, zip_derived_cl23])).
% 283.65/41.10 thf(zip_derived_cl9, plain,
% 283.65/41.10 (![X0 : $i]: ((c_uminus @ c_UNIV @ (tc_set @ X0)) = (c_emptyset))),
% 283.65/41.10 inference('cnf', [status(esa)], [cls_Set_OCompl__UNIV__eq_0])).
% 283.65/41.10 thf(zip_derived_cl205057, plain,
% 283.65/41.10 (((c_emptyset) = (c_inter @ v_a @ (c_union @ v_t @ v_u @ t_a) @ t_a))),
% 283.65/41.10 inference('demod', [status(thm)], [zip_derived_cl204930, zip_derived_cl9])).
% 283.65/41.10 thf(cls_conjecture_5, conjecture,
% 283.65/41.10 (c_in @
% 283.65/41.10 ( c_union @ ( c_union @ v_a @ v_t @ t_a ) @ v_u @ t_a ) @
% 283.65/41.10 ( c_Mutil_Otiling @ v_A @ t_a ) @ ( tc_set @ t_a ))).
% 283.65/41.10 thf(zf_stmt_2, negated_conjecture,
% 283.65/41.10 (~( c_in @
% 283.65/41.10 ( c_union @ ( c_union @ v_a @ v_t @ t_a ) @ v_u @ t_a ) @
% 283.65/41.10 ( c_Mutil_Otiling @ v_A @ t_a ) @ ( tc_set @ t_a ) )),
% 283.65/41.10 inference('cnf.neg', [status(esa)], [cls_conjecture_5])).
% 283.65/41.10 thf(zip_derived_cl4, plain,
% 283.65/41.10 (~ (c_in @ (c_union @ (c_union @ v_a @ v_t @ t_a) @ v_u @ t_a) @
% 283.65/41.10 (c_Mutil_Otiling @ v_A @ t_a) @ (tc_set @ t_a))),
% 283.65/41.10 inference('cnf', [status(esa)], [zf_stmt_2])).
% 283.65/41.10 thf(zip_derived_cl17, plain,
% 283.65/41.10 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 283.65/41.10 ((c_union @ (c_union @ X0 @ X1 @ X3) @ X2 @ X3)
% 283.65/41.10 = (c_union @ X0 @ (c_union @ X1 @ X2 @ X3) @ X3))),
% 283.65/41.10 inference('cnf', [status(esa)], [cls_Set_OUn__assoc_0])).
% 283.65/41.10 thf(zip_derived_cl30, plain,
% 283.65/41.10 (~ (c_in @ (c_union @ v_a @ (c_union @ v_t @ v_u @ t_a) @ t_a) @
% 283.65/41.10 (c_Mutil_Otiling @ v_A @ t_a) @ (tc_set @ t_a))),
% 283.65/41.10 inference('demod', [status(thm)], [zip_derived_cl4, zip_derived_cl17])).
% 283.65/41.10 thf(cls_Mutil_Otiling_OUn_0, axiom,
% 283.65/41.10 (( ~( c_in @ V_a @ V_A @ ( tc_set @ T_a ) ) ) |
% 283.65/41.10 ( ~( c_in @ V_t @ ( c_Mutil_Otiling @ V_A @ T_a ) @ ( tc_set @ T_a ) ) ) |
% 283.65/41.10 ( ( c_inter @ V_a @ V_t @ T_a ) != ( c_emptyset ) ) |
% 283.65/41.10 ( c_in @
% 283.65/41.10 ( c_union @ V_a @ V_t @ T_a ) @ ( c_Mutil_Otiling @ V_A @ T_a ) @
% 283.65/41.10 ( tc_set @ T_a ) ))).
% 283.65/41.10 thf(zip_derived_cl6, plain,
% 283.65/41.10 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 283.65/41.10 (~ (c_in @ X0 @ X1 @ (tc_set @ X2))
% 283.65/41.10 | ~ (c_in @ X3 @ (c_Mutil_Otiling @ X1 @ X2) @ (tc_set @ X2))
% 283.65/41.10 | ((c_inter @ X0 @ X3 @ X2) != (c_emptyset))
% 283.65/41.10 | (c_in @ (c_union @ X0 @ X3 @ X2) @ (c_Mutil_Otiling @ X1 @ X2) @
% 283.65/41.10 (tc_set @ X2)))),
% 283.65/41.10 inference('cnf', [status(esa)], [cls_Mutil_Otiling_OUn_0])).
% 283.65/41.10 thf(zip_derived_cl34, plain,
% 283.65/41.10 ((~ (c_in @ v_a @ v_A @ (tc_set @ t_a))
% 283.65/41.10 | ~ (c_in @ (c_union @ v_t @ v_u @ t_a) @
% 283.65/41.10 (c_Mutil_Otiling @ v_A @ t_a) @ (tc_set @ t_a))
% 283.65/41.10 | ((c_inter @ v_a @ (c_union @ v_t @ v_u @ t_a) @ t_a) != (c_emptyset)))),
% 283.65/41.10 inference('s_sup+', [status(thm)], [zip_derived_cl30, zip_derived_cl6])).
% 283.65/41.10 thf(cls_conjecture_0, conjecture, (~( c_in @ v_a @ v_A @ ( tc_set @ t_a ) ))).
% 283.65/41.10 thf(zf_stmt_3, negated_conjecture, (c_in @ v_a @ v_A @ ( tc_set @ t_a )),
% 283.65/41.10 inference('cnf.neg', [status(esa)], [cls_conjecture_0])).
% 283.65/41.10 thf(zip_derived_cl0, plain, ( (c_in @ v_a @ v_A @ (tc_set @ t_a))),
% 283.65/41.10 inference('cnf', [status(esa)], [zf_stmt_3])).
% 283.65/41.10 thf(zip_derived_cl40, plain,
% 283.65/41.10 ((~ (c_in @ (c_union @ v_t @ v_u @ t_a) @
% 283.65/41.10 (c_Mutil_Otiling @ v_A @ t_a) @ (tc_set @ t_a))
% 283.65/41.10 | ((c_inter @ v_a @ (c_union @ v_t @ v_u @ t_a) @ t_a) != (c_emptyset)))),
% 283.65/41.10 inference('demod', [status(thm)], [zip_derived_cl34, zip_derived_cl0])).
% 283.65/41.10 thf(cls_conjecture_6, conjecture,
% 283.65/41.10 (~( ( ~( c_in @ v_u @ ( c_Mutil_Otiling @ v_A @ t_a ) @ ( tc_set @ t_a ) ) ) |
% 283.65/41.10 ( ( c_inter @ v_t @ v_u @ t_a ) != ( c_emptyset ) ) |
% 283.65/41.10 ( c_in @
% 283.65/41.10 ( c_union @ v_t @ v_u @ t_a ) @ ( c_Mutil_Otiling @ v_A @ t_a ) @
% 283.65/41.10 ( tc_set @ t_a ) ) ))).
% 283.65/41.10 thf(zf_stmt_4, negated_conjecture,
% 283.65/41.10 (( ~( c_in @ v_u @ ( c_Mutil_Otiling @ v_A @ t_a ) @ ( tc_set @ t_a ) ) ) |
% 283.65/41.10 ( ( c_inter @ v_t @ v_u @ t_a ) != ( c_emptyset ) ) |
% 283.65/41.10 ( c_in @
% 283.65/41.10 ( c_union @ v_t @ v_u @ t_a ) @ ( c_Mutil_Otiling @ v_A @ t_a ) @
% 283.65/41.10 ( tc_set @ t_a ) )),
% 283.65/41.10 inference('cnf.neg', [status(esa)], [cls_conjecture_6])).
% 283.65/41.10 thf(zip_derived_cl5, plain,
% 283.65/41.10 ((~ (c_in @ v_u @ (c_Mutil_Otiling @ v_A @ t_a) @ (tc_set @ t_a))
% 283.65/41.10 | ((c_inter @ v_t @ v_u @ t_a) != (c_emptyset))
% 283.65/41.10 | (c_in @ (c_union @ v_t @ v_u @ t_a) @
% 283.65/41.10 (c_Mutil_Otiling @ v_A @ t_a) @ (tc_set @ t_a)))),
% 283.65/41.10 inference('cnf', [status(esa)], [zf_stmt_4])).
% 283.65/41.10 thf(cls_conjecture_3, conjecture,
% 283.65/41.10 (~( c_in @ v_u @ ( c_Mutil_Otiling @ v_A @ t_a ) @ ( tc_set @ t_a ) ))).
% 283.65/41.10 thf(zf_stmt_5, negated_conjecture,
% 283.65/41.10 (c_in @ v_u @ ( c_Mutil_Otiling @ v_A @ t_a ) @ ( tc_set @ t_a )),
% 283.65/41.10 inference('cnf.neg', [status(esa)], [cls_conjecture_3])).
% 283.65/41.10 thf(zip_derived_cl2, plain,
% 283.65/41.10 ( (c_in @ v_u @ (c_Mutil_Otiling @ v_A @ t_a) @ (tc_set @ t_a))),
% 283.65/41.10 inference('cnf', [status(esa)], [zf_stmt_5])).
% 283.65/41.10 thf(zip_derived_cl29, plain,
% 283.65/41.10 ((((c_inter @ v_t @ v_u @ t_a) != (c_emptyset))
% 283.65/41.10 | (c_in @ (c_union @ v_t @ v_u @ t_a) @
% 283.65/41.10 (c_Mutil_Otiling @ v_A @ t_a) @ (tc_set @ t_a)))),
% 283.65/41.10 inference('demod', [status(thm)], [zip_derived_cl5, zip_derived_cl2])).
% 283.65/41.10 thf(zip_derived_cl822, plain,
% 283.65/41.10 (((c_uminus @ v_u @ (tc_set @ t_a))
% 283.65/41.10 = (c_union @ v_a @
% 283.65/41.10 (c_union @ v_t @ (c_uminus @ v_u @ (tc_set @ t_a)) @ t_a) @ t_a))),
% 283.65/41.10 inference('s_sup+', [status(thm)], [zip_derived_cl751, zip_derived_cl17])).
% 283.65/41.10 thf(zip_derived_cl74, plain,
% 283.65/41.10 (![X0 : $i, X1 : $i, X2 : $i]:
% 283.65/41.10 (c_lessequals @ X1 @ (c_union @ X2 @ X1 @ X0) @ (tc_set @ X0))),
% 283.65/41.10 inference('s_sup-', [status(thm)], [zip_derived_cl28, zip_derived_cl21])).
% 283.65/41.10 thf(zip_derived_cl27, plain,
% 283.65/41.10 (![X0 : $i, X1 : $i, X2 : $i]:
% 283.65/41.10 (~ (c_lessequals @ X0 @ X1 @ (tc_set @ X2))
% 283.65/41.10 | ~ (c_lessequals @ X1 @ X0 @ (tc_set @ X2))
% 283.65/41.10 | ((X1) = (X0)))),
% 283.65/41.10 inference('cnf', [status(esa)], [cls_Set_Osubset__antisym_0])).
% 283.65/41.10 thf(zip_derived_cl218, plain,
% 283.65/41.10 (![X0 : $i, X1 : $i, X2 : $i]:
% 283.65/41.10 (~ (c_lessequals @ (c_union @ X2 @ X1 @ X0) @ X1 @ (tc_set @ X0))
% 283.65/41.10 | ((c_union @ X2 @ X1 @ X0) = (X1)))),
% 283.65/41.10 inference('s_sup-', [status(thm)], [zip_derived_cl74, zip_derived_cl27])).
% 283.65/41.10 thf(zip_derived_cl2799, plain,
% 283.65/41.10 ((~ (c_lessequals @ (c_uminus @ v_u @ (tc_set @ t_a)) @
% 283.65/41.10 (c_union @ v_t @ (c_uminus @ v_u @ (tc_set @ t_a)) @ t_a) @
% 283.65/41.10 (tc_set @ t_a))
% 283.65/41.10 | ((c_uminus @ v_u @ (tc_set @ t_a))
% 283.65/41.10 = (c_union @ v_t @ (c_uminus @ v_u @ (tc_set @ t_a)) @ t_a)))),
% 283.65/41.10 inference('s_sup-', [status(thm)], [zip_derived_cl822, zip_derived_cl218])).
% 283.65/41.10 thf(zip_derived_cl74, plain,
% 283.65/41.10 (![X0 : $i, X1 : $i, X2 : $i]:
% 283.65/41.10 (c_lessequals @ X1 @ (c_union @ X2 @ X1 @ X0) @ (tc_set @ X0))),
% 283.65/41.10 inference('s_sup-', [status(thm)], [zip_derived_cl28, zip_derived_cl21])).
% 283.65/41.10 thf(zip_derived_cl2823, plain,
% 283.65/41.10 (((c_uminus @ v_u @ (tc_set @ t_a))
% 283.65/41.10 = (c_union @ v_t @ (c_uminus @ v_u @ (tc_set @ t_a)) @ t_a))),
% 283.65/41.10 inference('demod', [status(thm)], [zip_derived_cl2799, zip_derived_cl74])).
% 283.65/41.10 thf(zip_derived_cl3699, plain,
% 283.65/41.10 (![X0 : $i, X1 : $i, X2 : $i]:
% 283.65/41.10 ((c_minus @ X2 @ (c_union @ X2 @ X1 @ X0) @ (tc_set @ X0))
% 283.65/41.10 = (c_emptyset))),
% 283.65/41.10 inference('demod', [status(thm)], [zip_derived_cl3683, zip_derived_cl286])).
% 283.65/41.10 thf(zip_derived_cl6759, plain,
% 283.65/41.10 (((c_minus @ v_t @ (c_uminus @ v_u @ (tc_set @ t_a)) @ (tc_set @ t_a))
% 283.65/41.10 = (c_emptyset))),
% 283.65/41.10 inference('s_sup+', [status(thm)],
% 283.65/41.10 [zip_derived_cl2823, zip_derived_cl3699])).
% 283.65/41.10 thf(zip_derived_cl10, plain,
% 283.65/41.10 (![X0 : $i, X1 : $i, X2 : $i]:
% 283.65/41.10 ((c_minus @ X0 @ (c_uminus @ X1 @ (tc_set @ X2)) @ (tc_set @ X2))
% 283.65/41.10 = (c_inter @ X0 @ X1 @ X2))),
% 283.65/41.10 inference('cnf', [status(esa)], [cls_Set_ODiff__Compl_0])).
% 283.65/41.10 thf(zip_derived_cl6987, plain,
% 283.65/41.10 (((c_emptyset) = (c_inter @ v_t @ v_u @ t_a))),
% 283.65/41.10 inference('s_sup+', [status(thm)], [zip_derived_cl6759, zip_derived_cl10])).
% 283.65/41.10 thf(zip_derived_cl7005, plain,
% 283.65/41.10 ((((c_emptyset) != (c_emptyset))
% 283.65/41.10 | (c_in @ (c_union @ v_t @ v_u @ t_a) @
% 283.65/41.10 (c_Mutil_Otiling @ v_A @ t_a) @ (tc_set @ t_a)))),
% 283.65/41.10 inference('demod', [status(thm)], [zip_derived_cl29, zip_derived_cl6987])).
% 283.65/41.10 thf(zip_derived_cl7006, plain,
% 283.65/41.10 ( (c_in @ (c_union @ v_t @ v_u @ t_a) @ (c_Mutil_Otiling @ v_A @ t_a) @
% 283.65/41.10 (tc_set @ t_a))),
% 283.65/41.10 inference('simplify', [status(thm)], [zip_derived_cl7005])).
% 283.65/41.10 thf(zip_derived_cl7081, plain,
% 283.65/41.10 (((c_inter @ v_a @ (c_union @ v_t @ v_u @ t_a) @ t_a) != (c_emptyset))),
% 283.65/41.10 inference('demod', [status(thm)], [zip_derived_cl40, zip_derived_cl7006])).
% 283.65/41.10 thf(zip_derived_cl205058, plain, ($false),
% 283.65/41.10 inference('simplify_reflect-', [status(thm)],
% 283.65/41.10 [zip_derived_cl205057, zip_derived_cl7081])).
% 283.65/41.10
% 283.65/41.10 % SZS output end Refutation
% 283.65/41.10
% 283.65/41.10
% 283.65/41.10 % Terminating...
% 284.05/41.16 % Runner terminated.
% 284.05/41.17 % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------