TSTP Solution File: SCT021-1 by Zipperpin---2.1.9999
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- Process Solution
%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : SCT021-1 : TPTP v8.1.2. Released v4.1.0.
% Transfm : NO INFORMATION
% Format : NO INFORMATION
% Command : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.zcXYWkwo37 true
% Computer : n006.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 14:26:58 EDT 2023
% Result : Unsatisfiable 151.54s 22.54s
% Output : Refutation 151.54s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.13 % Problem : SCT021-1 : TPTP v8.1.2. Released v4.1.0.
% 0.00/0.14 % Command : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.zcXYWkwo37 true
% 0.15/0.35 % Computer : n006.cluster.edu
% 0.15/0.35 % Model : x86_64 x86_64
% 0.15/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.35 % Memory : 8042.1875MB
% 0.15/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.15/0.35 % CPULimit : 300
% 0.15/0.35 % WCLimit : 300
% 0.15/0.35 % DateTime : Thu Aug 24 16:11:37 EDT 2023
% 0.15/0.35 % CPUTime :
% 0.15/0.35 % Running portfolio for 300 s
% 0.15/0.35 % File : /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.15/0.36 % Number of cores: 8
% 0.15/0.36 % Python version: Python 3.6.8
% 0.21/0.36 % Running in FO mode
% 0.21/0.67 % Total configuration time : 435
% 0.21/0.67 % Estimated wc time : 1092
% 0.21/0.67 % Estimated cpu time (7 cpus) : 156.0
% 0.21/0.75 % /export/starexec/sandbox/solver/bin/fo/fo3_bce.sh running for 75s
% 0.21/0.75 % /export/starexec/sandbox/solver/bin/fo/fo6_bce.sh running for 75s
% 0.21/0.76 % /export/starexec/sandbox/solver/bin/fo/fo1_av.sh running for 75s
% 0.21/0.77 % /export/starexec/sandbox/solver/bin/fo/fo7.sh running for 63s
% 0.21/0.77 % /export/starexec/sandbox/solver/bin/fo/fo13.sh running for 50s
% 0.21/0.78 % /export/starexec/sandbox/solver/bin/fo/fo4.sh running for 50s
% 0.21/0.78 % /export/starexec/sandbox/solver/bin/fo/fo5.sh running for 50s
% 151.54/22.54 % Solved by fo/fo4.sh.
% 151.54/22.54 % done 3632 iterations in 21.728s
% 151.54/22.54 % SZS status Theorem for '/export/starexec/sandbox/benchmark/theBenchmark.p'
% 151.54/22.54 % SZS output start Refutation
% 151.54/22.54 thf(v_x_type, type, v_x: $i).
% 151.54/22.54 thf(v_i_type, type, v_i: $i).
% 151.54/22.54 thf(hBOOL_type, type, hBOOL: $i > $o).
% 151.54/22.54 thf(v_Pa_type, type, v_Pa: $i > $i).
% 151.54/22.54 thf(hAPP_type, type, hAPP: $i > $i > $i).
% 151.54/22.54 thf(v_a_type, type, v_a: $i).
% 151.54/22.54 thf(tc_fun_type, type, tc_fun: $i > $i > $i).
% 151.54/22.54 thf(v_P_type, type, v_P: $i).
% 151.54/22.54 thf(c_Relation_Oirrefl_type, type, c_Relation_Oirrefl: $i > $i > $o).
% 151.54/22.54 thf(c_in_type, type, c_in: $i > $i > $i > $i).
% 151.54/22.54 thf(v_b_type, type, v_b: $i).
% 151.54/22.54 thf(tc_prod_type, type, tc_prod: $i > $i > $i).
% 151.54/22.54 thf(c_Orderings_Otop__class_Otop_type, type, c_Orderings_Otop__class_Otop:
% 151.54/22.54 $i > $i).
% 151.54/22.54 thf(c_Relation_Otrans_type, type, c_Relation_Otrans: $i > $i > $o).
% 151.54/22.54 thf(tc_Arrow__Order__Mirabelle_Oalt_type, type, tc_Arrow__Order__Mirabelle_Oalt:
% 151.54/22.54 $i).
% 151.54/22.54 thf(c_Relation_Ototal__on_type, type, c_Relation_Ototal__on: $i > $i > $i > $o).
% 151.54/22.54 thf(tc_bool_type, type, tc_bool: $i).
% 151.54/22.54 thf(v_F_type, type, v_F: $i > $i).
% 151.54/22.54 thf(c_Pair_type, type, c_Pair: $i > $i > $i > $i > $i).
% 151.54/22.54 thf(cls_conjecture_3, conjecture,
% 151.54/22.54 (~( hBOOL @
% 151.54/22.54 ( c_in @
% 151.54/22.54 ( c_Pair @
% 151.54/22.54 v_a @ v_b @ tc_Arrow__Order__Mirabelle_Oalt @
% 151.54/22.54 tc_Arrow__Order__Mirabelle_Oalt ) @
% 151.54/22.54 ( v_F @ v_P ) @
% 151.54/22.54 ( tc_prod @
% 151.54/22.54 tc_Arrow__Order__Mirabelle_Oalt @ tc_Arrow__Order__Mirabelle_Oalt ) ) ))).
% 151.54/22.54 thf(zf_stmt_0, negated_conjecture,
% 151.54/22.54 (hBOOL @
% 151.54/22.54 ( c_in @
% 151.54/22.54 ( c_Pair @
% 151.54/22.54 v_a @ v_b @ tc_Arrow__Order__Mirabelle_Oalt @
% 151.54/22.54 tc_Arrow__Order__Mirabelle_Oalt ) @
% 151.54/22.54 ( v_F @ v_P ) @
% 151.54/22.54 ( tc_prod @
% 151.54/22.54 tc_Arrow__Order__Mirabelle_Oalt @ tc_Arrow__Order__Mirabelle_Oalt ) )),
% 151.54/22.54 inference('cnf.neg', [status(esa)], [cls_conjecture_3])).
% 151.54/22.54 thf(zip_derived_cl48, plain,
% 151.54/22.54 ( (hBOOL @
% 151.54/22.54 (c_in @
% 151.54/22.54 (c_Pair @ v_a @ v_b @ tc_Arrow__Order__Mirabelle_Oalt @
% 151.54/22.54 tc_Arrow__Order__Mirabelle_Oalt) @
% 151.54/22.54 (v_F @ v_P) @
% 151.54/22.54 (tc_prod @ tc_Arrow__Order__Mirabelle_Oalt @
% 151.54/22.54 tc_Arrow__Order__Mirabelle_Oalt)))),
% 151.54/22.54 inference('cnf', [status(esa)], [zf_stmt_0])).
% 151.54/22.54 thf(cls_trans__def_0, axiom,
% 151.54/22.54 (( hBOOL @
% 151.54/22.54 ( c_in @
% 151.54/22.54 ( c_Pair @ V_x @ V_z @ T_a @ T_a ) @ V_r @ ( tc_prod @ T_a @ T_a ) ) ) |
% 151.54/22.54 ( ~( hBOOL @
% 151.54/22.54 ( c_in @
% 151.54/22.54 ( c_Pair @ V_y @ V_z @ T_a @ T_a ) @ V_r @ ( tc_prod @ T_a @ T_a ) ) ) ) |
% 151.54/22.54 ( ~( hBOOL @
% 151.54/22.54 ( c_in @
% 151.54/22.54 ( c_Pair @ V_x @ V_y @ T_a @ T_a ) @ V_r @ ( tc_prod @ T_a @ T_a ) ) ) ) |
% 151.54/22.54 ( ~( c_Relation_Otrans @ V_r @ T_a ) ))).
% 151.54/22.54 thf(zip_derived_cl34, plain,
% 151.54/22.54 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i]:
% 151.54/22.54 ( (hBOOL @
% 151.54/22.54 (c_in @ (c_Pair @ X0 @ X1 @ X2 @ X2) @ X3 @ (tc_prod @ X2 @ X2)))
% 151.54/22.54 | ~ (hBOOL @
% 151.54/22.54 (c_in @ (c_Pair @ X4 @ X1 @ X2 @ X2) @ X3 @ (tc_prod @ X2 @ X2)))
% 151.54/22.54 | ~ (hBOOL @
% 151.54/22.54 (c_in @ (c_Pair @ X0 @ X4 @ X2 @ X2) @ X3 @ (tc_prod @ X2 @ X2)))
% 151.54/22.54 | ~ (c_Relation_Otrans @ X3 @ X2))),
% 151.54/22.54 inference('cnf', [status(esa)], [cls_trans__def_0])).
% 151.54/22.54 thf(zip_derived_cl107, plain,
% 151.54/22.54 (![X0 : $i]:
% 151.54/22.54 (~ (c_Relation_Otrans @ (v_F @ v_P) @ tc_Arrow__Order__Mirabelle_Oalt)
% 151.54/22.54 | ~ (hBOOL @
% 151.54/22.54 (c_in @
% 151.54/22.54 (c_Pair @ X0 @ v_a @ tc_Arrow__Order__Mirabelle_Oalt @
% 151.54/22.54 tc_Arrow__Order__Mirabelle_Oalt) @
% 151.54/22.54 (v_F @ v_P) @
% 151.54/22.54 (tc_prod @ tc_Arrow__Order__Mirabelle_Oalt @
% 151.54/22.54 tc_Arrow__Order__Mirabelle_Oalt)))
% 151.54/22.54 | (hBOOL @
% 151.54/22.54 (c_in @
% 151.54/22.54 (c_Pair @ X0 @ v_b @ tc_Arrow__Order__Mirabelle_Oalt @
% 151.54/22.54 tc_Arrow__Order__Mirabelle_Oalt) @
% 151.54/22.54 (v_F @ v_P) @
% 151.54/22.54 (tc_prod @ tc_Arrow__Order__Mirabelle_Oalt @
% 151.54/22.54 tc_Arrow__Order__Mirabelle_Oalt))))),
% 151.54/22.54 inference('sup-', [status(thm)], [zip_derived_cl48, zip_derived_cl34])).
% 151.54/22.54 thf(cls_conjecture_5, conjecture,
% 151.54/22.54 (~( ( ~( c_Relation_Otrans @
% 151.54/22.54 ( hAPP @ v_P @ v_x ) @ tc_Arrow__Order__Mirabelle_Oalt ) ) |
% 151.54/22.54 ( ~( c_Relation_Oirrefl @
% 151.54/22.54 ( hAPP @ v_P @ v_x ) @ tc_Arrow__Order__Mirabelle_Oalt ) ) |
% 151.54/22.54 ( ~( c_Relation_Ototal__on @
% 151.54/22.54 ( c_Orderings_Otop__class_Otop @
% 151.54/22.54 ( tc_fun @ tc_Arrow__Order__Mirabelle_Oalt @ tc_bool ) ) @
% 151.54/22.54 ( hAPP @ v_P @ v_x ) @ tc_Arrow__Order__Mirabelle_Oalt ) ) |
% 151.54/22.54 ( c_Relation_Otrans @ ( v_F @ v_P ) @ tc_Arrow__Order__Mirabelle_Oalt ) ))).
% 151.54/22.54 thf(zf_stmt_1, negated_conjecture,
% 151.54/22.54 (( ~( c_Relation_Otrans @
% 151.54/22.54 ( hAPP @ v_P @ v_x ) @ tc_Arrow__Order__Mirabelle_Oalt ) ) |
% 151.54/22.54 ( ~( c_Relation_Oirrefl @
% 151.54/22.54 ( hAPP @ v_P @ v_x ) @ tc_Arrow__Order__Mirabelle_Oalt ) ) |
% 151.54/22.54 ( ~( c_Relation_Ototal__on @
% 151.54/22.54 ( c_Orderings_Otop__class_Otop @
% 151.54/22.54 ( tc_fun @ tc_Arrow__Order__Mirabelle_Oalt @ tc_bool ) ) @
% 151.54/22.54 ( hAPP @ v_P @ v_x ) @ tc_Arrow__Order__Mirabelle_Oalt ) ) |
% 151.54/22.54 ( c_Relation_Otrans @ ( v_F @ v_P ) @ tc_Arrow__Order__Mirabelle_Oalt )),
% 151.54/22.54 inference('cnf.neg', [status(esa)], [cls_conjecture_5])).
% 151.54/22.54 thf(zip_derived_cl46, plain,
% 151.54/22.54 ((~ (c_Relation_Otrans @ (hAPP @ v_P @ v_x) @
% 151.54/22.54 tc_Arrow__Order__Mirabelle_Oalt)
% 151.54/22.54 | ~ (c_Relation_Oirrefl @ (hAPP @ v_P @ v_x) @
% 151.54/22.54 tc_Arrow__Order__Mirabelle_Oalt)
% 151.54/22.54 | ~ (c_Relation_Ototal__on @
% 151.54/22.54 (c_Orderings_Otop__class_Otop @
% 151.54/22.54 (tc_fun @ tc_Arrow__Order__Mirabelle_Oalt @ tc_bool)) @
% 151.54/22.54 (hAPP @ v_P @ v_x) @ tc_Arrow__Order__Mirabelle_Oalt)
% 151.54/22.54 | (c_Relation_Otrans @ (v_F @ v_P) @ tc_Arrow__Order__Mirabelle_Oalt))),
% 151.54/22.54 inference('cnf', [status(esa)], [zf_stmt_1])).
% 151.54/22.54 thf(cls_conjecture_0, conjecture,
% 151.54/22.54 (~( c_Relation_Otrans @
% 151.54/22.54 ( hAPP @ v_P @ V_x ) @ tc_Arrow__Order__Mirabelle_Oalt ))).
% 151.54/22.54 thf(zf_stmt_2, negated_conjecture,
% 151.54/22.54 (c_Relation_Otrans @ ( hAPP @ v_P @ V_x ) @ tc_Arrow__Order__Mirabelle_Oalt),
% 151.54/22.54 inference('cnf.neg', [status(esa)], [cls_conjecture_0])).
% 151.54/22.54 thf(zip_derived_cl51, plain,
% 151.54/22.54 (![X0 : $i]:
% 151.54/22.54 (c_Relation_Otrans @ (hAPP @ v_P @ X0) @
% 151.54/22.54 tc_Arrow__Order__Mirabelle_Oalt)),
% 151.54/22.54 inference('cnf', [status(esa)], [zf_stmt_2])).
% 151.54/22.54 thf(cls_conjecture_1, conjecture,
% 151.54/22.54 (~( c_Relation_Oirrefl @
% 151.54/22.54 ( hAPP @ v_P @ V_x ) @ tc_Arrow__Order__Mirabelle_Oalt ))).
% 151.54/22.54 thf(zf_stmt_3, negated_conjecture,
% 151.54/22.54 (c_Relation_Oirrefl @
% 151.54/22.54 ( hAPP @ v_P @ V_x ) @ tc_Arrow__Order__Mirabelle_Oalt),
% 151.54/22.54 inference('cnf.neg', [status(esa)], [cls_conjecture_1])).
% 151.54/22.54 thf(zip_derived_cl50, plain,
% 151.54/22.54 (![X0 : $i]:
% 151.54/22.54 (c_Relation_Oirrefl @ (hAPP @ v_P @ X0) @
% 151.54/22.54 tc_Arrow__Order__Mirabelle_Oalt)),
% 151.54/22.54 inference('cnf', [status(esa)], [zf_stmt_3])).
% 151.54/22.54 thf(zip_derived_cl58, plain,
% 151.54/22.54 ((~ (c_Relation_Ototal__on @
% 151.54/22.54 (c_Orderings_Otop__class_Otop @
% 151.54/22.54 (tc_fun @ tc_Arrow__Order__Mirabelle_Oalt @ tc_bool)) @
% 151.54/22.54 (hAPP @ v_P @ v_x) @ tc_Arrow__Order__Mirabelle_Oalt)
% 151.54/22.54 | (c_Relation_Otrans @ (v_F @ v_P) @ tc_Arrow__Order__Mirabelle_Oalt))),
% 151.54/22.54 inference('demod', [status(thm)],
% 151.54/22.54 [zip_derived_cl46, zip_derived_cl51, zip_derived_cl50])).
% 151.54/22.54 thf(cls_conjecture_2, conjecture,
% 151.54/22.54 (~( c_Relation_Ototal__on @
% 151.54/22.54 ( c_Orderings_Otop__class_Otop @
% 151.54/22.54 ( tc_fun @ tc_Arrow__Order__Mirabelle_Oalt @ tc_bool ) ) @
% 151.54/22.54 ( hAPP @ v_P @ V_x ) @ tc_Arrow__Order__Mirabelle_Oalt ))).
% 151.54/22.54 thf(zf_stmt_4, negated_conjecture,
% 151.54/22.54 (c_Relation_Ototal__on @
% 151.54/22.54 ( c_Orderings_Otop__class_Otop @
% 151.54/22.54 ( tc_fun @ tc_Arrow__Order__Mirabelle_Oalt @ tc_bool ) ) @
% 151.54/22.54 ( hAPP @ v_P @ V_x ) @ tc_Arrow__Order__Mirabelle_Oalt),
% 151.54/22.54 inference('cnf.neg', [status(esa)], [cls_conjecture_2])).
% 151.54/22.54 thf(zip_derived_cl49, plain,
% 151.54/22.54 (![X0 : $i]:
% 151.54/22.54 (c_Relation_Ototal__on @
% 151.54/22.54 (c_Orderings_Otop__class_Otop @
% 151.54/22.54 (tc_fun @ tc_Arrow__Order__Mirabelle_Oalt @ tc_bool)) @
% 151.54/22.54 (hAPP @ v_P @ X0) @ tc_Arrow__Order__Mirabelle_Oalt)),
% 151.54/22.54 inference('cnf', [status(esa)], [zf_stmt_4])).
% 151.54/22.54 thf(zip_derived_cl62, plain,
% 151.54/22.54 ( (c_Relation_Otrans @ (v_F @ v_P) @ tc_Arrow__Order__Mirabelle_Oalt)),
% 151.54/22.54 inference('demod', [status(thm)], [zip_derived_cl58, zip_derived_cl49])).
% 151.54/22.54 thf(zip_derived_cl111, plain,
% 151.54/22.54 (![X0 : $i]:
% 151.54/22.54 (~ (hBOOL @
% 151.54/22.54 (c_in @
% 151.54/22.54 (c_Pair @ X0 @ v_a @ tc_Arrow__Order__Mirabelle_Oalt @
% 151.54/22.54 tc_Arrow__Order__Mirabelle_Oalt) @
% 151.54/22.54 (v_F @ v_P) @
% 151.54/22.54 (tc_prod @ tc_Arrow__Order__Mirabelle_Oalt @
% 151.54/22.54 tc_Arrow__Order__Mirabelle_Oalt)))
% 151.54/22.54 | (hBOOL @
% 151.54/22.54 (c_in @
% 151.54/22.54 (c_Pair @ X0 @ v_b @ tc_Arrow__Order__Mirabelle_Oalt @
% 151.54/22.54 tc_Arrow__Order__Mirabelle_Oalt) @
% 151.54/22.54 (v_F @ v_P) @
% 151.54/22.54 (tc_prod @ tc_Arrow__Order__Mirabelle_Oalt @
% 151.54/22.54 tc_Arrow__Order__Mirabelle_Oalt))))),
% 151.54/22.54 inference('demod', [status(thm)], [zip_derived_cl107, zip_derived_cl62])).
% 151.54/22.54 thf(cls_mem__def_1, axiom,
% 151.54/22.54 (( hBOOL @ ( c_in @ V_x @ V_S @ T_a ) ) |
% 151.54/22.54 ( ~( hBOOL @ ( hAPP @ V_S @ V_x ) ) ))).
% 151.54/22.54 thf(zip_derived_cl41, plain,
% 151.54/22.54 (![X0 : $i, X1 : $i, X2 : $i]:
% 151.54/22.54 ( (hBOOL @ (c_in @ X0 @ X1 @ X2)) | ~ (hBOOL @ (hAPP @ X1 @ X0)))),
% 151.54/22.54 inference('cnf', [status(esa)], [cls_mem__def_1])).
% 151.54/22.54 thf(zip_derived_cl115, plain,
% 151.54/22.54 (![X0 : $i]:
% 151.54/22.54 ( (hBOOL @
% 151.54/22.54 (c_in @
% 151.54/22.54 (c_Pair @ X0 @ v_b @ tc_Arrow__Order__Mirabelle_Oalt @
% 151.54/22.54 tc_Arrow__Order__Mirabelle_Oalt) @
% 151.54/22.54 (v_F @ v_P) @
% 151.54/22.54 (tc_prod @ tc_Arrow__Order__Mirabelle_Oalt @
% 151.54/22.54 tc_Arrow__Order__Mirabelle_Oalt)))
% 151.54/22.54 | ~ (hBOOL @
% 151.54/22.54 (hAPP @ (v_F @ v_P) @
% 151.54/22.54 (c_Pair @ X0 @ v_a @ tc_Arrow__Order__Mirabelle_Oalt @
% 151.54/22.54 tc_Arrow__Order__Mirabelle_Oalt))))),
% 151.54/22.54 inference('sup+', [status(thm)], [zip_derived_cl111, zip_derived_cl41])).
% 151.54/22.54 thf(cls_irrefl__def_0, axiom,
% 151.54/22.54 (( ~( hBOOL @
% 151.54/22.54 ( c_in @
% 151.54/22.54 ( c_Pair @ V_x @ V_x @ T_a @ T_a ) @ V_r @ ( tc_prod @ T_a @ T_a ) ) ) ) |
% 151.54/22.54 ( ~( c_Relation_Oirrefl @ V_r @ T_a ) ))).
% 151.54/22.54 thf(zip_derived_cl36, plain,
% 151.54/22.54 (![X0 : $i, X1 : $i, X2 : $i]:
% 151.54/22.54 (~ (hBOOL @
% 151.54/22.54 (c_in @ (c_Pair @ X0 @ X0 @ X1 @ X1) @ X2 @ (tc_prod @ X1 @ X1)))
% 151.54/22.54 | ~ (c_Relation_Oirrefl @ X2 @ X1))),
% 151.54/22.54 inference('cnf', [status(esa)], [cls_irrefl__def_0])).
% 151.54/22.54 thf(zip_derived_cl120, plain,
% 151.54/22.54 ((~ (hBOOL @
% 151.54/22.54 (hAPP @ (v_F @ v_P) @
% 151.54/22.54 (c_Pair @ v_b @ v_a @ tc_Arrow__Order__Mirabelle_Oalt @
% 151.54/22.54 tc_Arrow__Order__Mirabelle_Oalt)))
% 151.54/22.54 | ~ (c_Relation_Oirrefl @ (v_F @ v_P) @ tc_Arrow__Order__Mirabelle_Oalt))),
% 151.54/22.54 inference('sup-', [status(thm)], [zip_derived_cl115, zip_derived_cl36])).
% 151.54/22.54 thf(cls_conjecture_6, conjecture,
% 151.54/22.54 (~( ( ~( c_Relation_Otrans @
% 151.54/22.54 ( hAPP @ v_P @ v_x ) @ tc_Arrow__Order__Mirabelle_Oalt ) ) |
% 151.54/22.54 ( ~( c_Relation_Oirrefl @
% 151.54/22.54 ( hAPP @ v_P @ v_x ) @ tc_Arrow__Order__Mirabelle_Oalt ) ) |
% 151.54/22.54 ( ~( c_Relation_Ototal__on @
% 151.54/22.54 ( c_Orderings_Otop__class_Otop @
% 151.54/22.54 ( tc_fun @ tc_Arrow__Order__Mirabelle_Oalt @ tc_bool ) ) @
% 151.54/22.54 ( hAPP @ v_P @ v_x ) @ tc_Arrow__Order__Mirabelle_Oalt ) ) |
% 151.54/22.54 ( c_Relation_Oirrefl @ ( v_F @ v_P ) @ tc_Arrow__Order__Mirabelle_Oalt ) ))).
% 151.54/22.54 thf(zf_stmt_5, negated_conjecture,
% 151.54/22.54 (( ~( c_Relation_Otrans @
% 151.54/22.54 ( hAPP @ v_P @ v_x ) @ tc_Arrow__Order__Mirabelle_Oalt ) ) |
% 151.54/22.54 ( ~( c_Relation_Oirrefl @
% 151.54/22.54 ( hAPP @ v_P @ v_x ) @ tc_Arrow__Order__Mirabelle_Oalt ) ) |
% 151.54/22.54 ( ~( c_Relation_Ototal__on @
% 151.54/22.54 ( c_Orderings_Otop__class_Otop @
% 151.54/22.54 ( tc_fun @ tc_Arrow__Order__Mirabelle_Oalt @ tc_bool ) ) @
% 151.54/22.54 ( hAPP @ v_P @ v_x ) @ tc_Arrow__Order__Mirabelle_Oalt ) ) |
% 151.54/22.54 ( c_Relation_Oirrefl @ ( v_F @ v_P ) @ tc_Arrow__Order__Mirabelle_Oalt )),
% 151.54/22.54 inference('cnf.neg', [status(esa)], [cls_conjecture_6])).
% 151.54/22.54 thf(zip_derived_cl45, plain,
% 151.54/22.54 ((~ (c_Relation_Otrans @ (hAPP @ v_P @ v_x) @
% 151.54/22.54 tc_Arrow__Order__Mirabelle_Oalt)
% 151.54/22.54 | ~ (c_Relation_Oirrefl @ (hAPP @ v_P @ v_x) @
% 151.54/22.54 tc_Arrow__Order__Mirabelle_Oalt)
% 151.54/22.54 | ~ (c_Relation_Ototal__on @
% 151.54/22.54 (c_Orderings_Otop__class_Otop @
% 151.54/22.54 (tc_fun @ tc_Arrow__Order__Mirabelle_Oalt @ tc_bool)) @
% 151.54/22.54 (hAPP @ v_P @ v_x) @ tc_Arrow__Order__Mirabelle_Oalt)
% 151.54/22.54 | (c_Relation_Oirrefl @ (v_F @ v_P) @ tc_Arrow__Order__Mirabelle_Oalt))),
% 151.54/22.54 inference('cnf', [status(esa)], [zf_stmt_5])).
% 151.54/22.54 thf(zip_derived_cl51, plain,
% 151.54/22.54 (![X0 : $i]:
% 151.54/22.54 (c_Relation_Otrans @ (hAPP @ v_P @ X0) @
% 151.54/22.54 tc_Arrow__Order__Mirabelle_Oalt)),
% 151.54/22.54 inference('cnf', [status(esa)], [zf_stmt_2])).
% 151.54/22.54 thf(zip_derived_cl50, plain,
% 151.54/22.54 (![X0 : $i]:
% 151.54/22.54 (c_Relation_Oirrefl @ (hAPP @ v_P @ X0) @
% 151.54/22.54 tc_Arrow__Order__Mirabelle_Oalt)),
% 151.54/22.54 inference('cnf', [status(esa)], [zf_stmt_3])).
% 151.54/22.54 thf(zip_derived_cl57, plain,
% 151.54/22.54 ((~ (c_Relation_Ototal__on @
% 151.54/22.54 (c_Orderings_Otop__class_Otop @
% 151.54/22.54 (tc_fun @ tc_Arrow__Order__Mirabelle_Oalt @ tc_bool)) @
% 151.54/22.54 (hAPP @ v_P @ v_x) @ tc_Arrow__Order__Mirabelle_Oalt)
% 151.54/22.54 | (c_Relation_Oirrefl @ (v_F @ v_P) @ tc_Arrow__Order__Mirabelle_Oalt))),
% 151.54/22.54 inference('demod', [status(thm)],
% 151.54/22.54 [zip_derived_cl45, zip_derived_cl51, zip_derived_cl50])).
% 151.54/22.54 thf(zip_derived_cl49, plain,
% 151.54/22.54 (![X0 : $i]:
% 151.54/22.54 (c_Relation_Ototal__on @
% 151.54/22.54 (c_Orderings_Otop__class_Otop @
% 151.54/22.54 (tc_fun @ tc_Arrow__Order__Mirabelle_Oalt @ tc_bool)) @
% 151.54/22.54 (hAPP @ v_P @ X0) @ tc_Arrow__Order__Mirabelle_Oalt)),
% 151.54/22.54 inference('cnf', [status(esa)], [zf_stmt_4])).
% 151.54/22.54 thf(zip_derived_cl61, plain,
% 151.54/22.54 ( (c_Relation_Oirrefl @ (v_F @ v_P) @ tc_Arrow__Order__Mirabelle_Oalt)),
% 151.54/22.54 inference('demod', [status(thm)], [zip_derived_cl57, zip_derived_cl49])).
% 151.54/22.54 thf(zip_derived_cl122, plain,
% 151.54/22.54 (~ (hBOOL @
% 151.54/22.54 (hAPP @ (v_F @ v_P) @
% 151.54/22.54 (c_Pair @ v_b @ v_a @ tc_Arrow__Order__Mirabelle_Oalt @
% 151.54/22.54 tc_Arrow__Order__Mirabelle_Oalt)))),
% 151.54/22.54 inference('demod', [status(thm)], [zip_derived_cl120, zip_derived_cl61])).
% 151.54/22.54 thf(zip_derived_cl49, plain,
% 151.54/22.54 (![X0 : $i]:
% 151.54/22.54 (c_Relation_Ototal__on @
% 151.54/22.54 (c_Orderings_Otop__class_Otop @
% 151.54/22.54 (tc_fun @ tc_Arrow__Order__Mirabelle_Oalt @ tc_bool)) @
% 151.54/22.54 (hAPP @ v_P @ X0) @ tc_Arrow__Order__Mirabelle_Oalt)),
% 151.54/22.54 inference('cnf', [status(esa)], [zf_stmt_4])).
% 151.54/22.54 thf(cls_UNIV__I_0, axiom,
% 151.54/22.54 (hBOOL @
% 151.54/22.54 ( c_in @
% 151.54/22.54 V_x @ ( c_Orderings_Otop__class_Otop @ ( tc_fun @ T_a @ tc_bool ) ) @
% 151.54/22.54 T_a ))).
% 151.54/22.54 thf(zip_derived_cl39, plain,
% 151.54/22.54 (![X0 : $i, X1 : $i]:
% 151.54/22.54 (hBOOL @
% 151.54/22.54 (c_in @ X0 @
% 151.54/22.54 (c_Orderings_Otop__class_Otop @ (tc_fun @ X1 @ tc_bool)) @ X1))),
% 151.54/22.54 inference('cnf', [status(esa)], [cls_UNIV__I_0])).
% 151.54/22.54 thf(cls_total__on__def_0, axiom,
% 151.54/22.54 (( hBOOL @
% 151.54/22.54 ( c_in @
% 151.54/22.54 ( c_Pair @ V_xa @ V_x @ T_a @ T_a ) @ V_r @ ( tc_prod @ T_a @ T_a ) ) ) |
% 151.54/22.54 ( hBOOL @
% 151.54/22.54 ( c_in @
% 151.54/22.54 ( c_Pair @ V_x @ V_xa @ T_a @ T_a ) @ V_r @ ( tc_prod @ T_a @ T_a ) ) ) |
% 151.54/22.54 ( ( V_x ) = ( V_xa ) ) | ( ~( hBOOL @ ( c_in @ V_xa @ V_A @ T_a ) ) ) |
% 151.54/22.54 ( ~( hBOOL @ ( c_in @ V_x @ V_A @ T_a ) ) ) |
% 151.54/22.54 ( ~( c_Relation_Ototal__on @ V_A @ V_r @ T_a ) ))).
% 151.54/22.54 thf(zip_derived_cl40, plain,
% 151.54/22.54 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i]:
% 151.54/22.54 ( (hBOOL @
% 151.54/22.54 (c_in @ (c_Pair @ X0 @ X1 @ X2 @ X2) @ X3 @ (tc_prod @ X2 @ X2)))
% 151.54/22.54 | (hBOOL @
% 151.54/22.54 (c_in @ (c_Pair @ X1 @ X0 @ X2 @ X2) @ X3 @ (tc_prod @ X2 @ X2)))
% 151.54/22.54 | ((X1) = (X0))
% 151.54/22.54 | ~ (hBOOL @ (c_in @ X0 @ X4 @ X2))
% 151.54/22.54 | ~ (hBOOL @ (c_in @ X1 @ X4 @ X2))
% 151.54/22.54 | ~ (c_Relation_Ototal__on @ X4 @ X3 @ X2))),
% 151.54/22.54 inference('cnf', [status(esa)], [cls_total__on__def_0])).
% 151.54/22.54 thf(zip_derived_cl297, plain,
% 151.54/22.54 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 151.54/22.54 (~ (c_Relation_Ototal__on @
% 151.54/22.54 (c_Orderings_Otop__class_Otop @ (tc_fun @ X0 @ tc_bool)) @ X2 @ X0)
% 151.54/22.54 | ~ (hBOOL @
% 151.54/22.54 (c_in @ X3 @
% 151.54/22.54 (c_Orderings_Otop__class_Otop @ (tc_fun @ X0 @ tc_bool)) @ X0))
% 151.54/22.54 | ((X3) = (X1))
% 151.54/22.54 | (hBOOL @
% 151.54/22.54 (c_in @ (c_Pair @ X3 @ X1 @ X0 @ X0) @ X2 @ (tc_prod @ X0 @ X0)))
% 151.54/22.54 | (hBOOL @
% 151.54/22.54 (c_in @ (c_Pair @ X1 @ X3 @ X0 @ X0) @ X2 @ (tc_prod @ X0 @ X0))))),
% 151.54/22.54 inference('sup-', [status(thm)], [zip_derived_cl39, zip_derived_cl40])).
% 151.54/22.54 thf(zip_derived_cl39, plain,
% 151.54/22.54 (![X0 : $i, X1 : $i]:
% 151.54/22.54 (hBOOL @
% 151.54/22.54 (c_in @ X0 @
% 151.54/22.54 (c_Orderings_Otop__class_Otop @ (tc_fun @ X1 @ tc_bool)) @ X1))),
% 151.54/22.54 inference('cnf', [status(esa)], [cls_UNIV__I_0])).
% 151.54/22.54 thf(zip_derived_cl303, plain,
% 151.54/22.54 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 151.54/22.54 (~ (c_Relation_Ototal__on @
% 151.54/22.54 (c_Orderings_Otop__class_Otop @ (tc_fun @ X0 @ tc_bool)) @ X2 @ X0)
% 151.54/22.54 | ((X3) = (X1))
% 151.54/22.54 | (hBOOL @
% 151.54/22.54 (c_in @ (c_Pair @ X3 @ X1 @ X0 @ X0) @ X2 @ (tc_prod @ X0 @ X0)))
% 151.54/22.54 | (hBOOL @
% 151.54/22.54 (c_in @ (c_Pair @ X1 @ X3 @ X0 @ X0) @ X2 @ (tc_prod @ X0 @ X0))))),
% 151.54/22.54 inference('demod', [status(thm)], [zip_derived_cl297, zip_derived_cl39])).
% 151.54/22.54 thf(zip_derived_cl643, plain,
% 151.54/22.54 (![X0 : $i, X1 : $i, X2 : $i]:
% 151.54/22.54 ( (hBOOL @
% 151.54/22.54 (c_in @
% 151.54/22.54 (c_Pair @ X2 @ X1 @ tc_Arrow__Order__Mirabelle_Oalt @
% 151.54/22.54 tc_Arrow__Order__Mirabelle_Oalt) @
% 151.54/22.54 (hAPP @ v_P @ X0) @
% 151.54/22.54 (tc_prod @ tc_Arrow__Order__Mirabelle_Oalt @
% 151.54/22.54 tc_Arrow__Order__Mirabelle_Oalt)))
% 151.54/22.54 | (hBOOL @
% 151.54/22.54 (c_in @
% 151.54/22.54 (c_Pair @ X1 @ X2 @ tc_Arrow__Order__Mirabelle_Oalt @
% 151.54/22.54 tc_Arrow__Order__Mirabelle_Oalt) @
% 151.54/22.54 (hAPP @ v_P @ X0) @
% 151.54/22.54 (tc_prod @ tc_Arrow__Order__Mirabelle_Oalt @
% 151.54/22.54 tc_Arrow__Order__Mirabelle_Oalt)))
% 151.54/22.54 | ((X1) = (X2)))),
% 151.54/22.54 inference('sup-', [status(thm)], [zip_derived_cl49, zip_derived_cl303])).
% 151.54/22.54 thf(cls_conjecture_4, conjecture,
% 151.54/22.54 (hBOOL @
% 151.54/22.54 ( c_in @
% 151.54/22.54 ( c_Pair @
% 151.54/22.54 v_a @ v_b @ tc_Arrow__Order__Mirabelle_Oalt @
% 151.54/22.54 tc_Arrow__Order__Mirabelle_Oalt ) @
% 151.54/22.54 ( hAPP @ v_P @ v_i ) @
% 151.54/22.54 ( tc_prod @
% 151.54/22.54 tc_Arrow__Order__Mirabelle_Oalt @ tc_Arrow__Order__Mirabelle_Oalt ) ))).
% 151.54/22.54 thf(zf_stmt_6, negated_conjecture,
% 151.54/22.54 (~( hBOOL @
% 151.54/22.54 ( c_in @
% 151.54/22.54 ( c_Pair @
% 151.54/22.54 v_a @ v_b @ tc_Arrow__Order__Mirabelle_Oalt @
% 151.54/22.54 tc_Arrow__Order__Mirabelle_Oalt ) @
% 151.54/22.54 ( hAPP @ v_P @ v_i ) @
% 151.54/22.54 ( tc_prod @
% 151.54/22.54 tc_Arrow__Order__Mirabelle_Oalt @ tc_Arrow__Order__Mirabelle_Oalt ) ) )),
% 151.54/22.54 inference('cnf.neg', [status(esa)], [cls_conjecture_4])).
% 151.54/22.54 thf(zip_derived_cl47, plain,
% 151.54/22.54 (~ (hBOOL @
% 151.54/22.54 (c_in @
% 151.54/22.54 (c_Pair @ v_a @ v_b @ tc_Arrow__Order__Mirabelle_Oalt @
% 151.54/22.54 tc_Arrow__Order__Mirabelle_Oalt) @
% 151.54/22.54 (hAPP @ v_P @ v_i) @
% 151.54/22.54 (tc_prod @ tc_Arrow__Order__Mirabelle_Oalt @
% 151.54/22.54 tc_Arrow__Order__Mirabelle_Oalt)))),
% 151.54/22.54 inference('cnf', [status(esa)], [zf_stmt_6])).
% 151.54/22.54 thf(zip_derived_cl29256, plain,
% 151.54/22.54 ((((v_b) = (v_a))
% 151.54/22.54 | (hBOOL @
% 151.54/22.54 (c_in @
% 151.54/22.54 (c_Pair @ v_b @ v_a @ tc_Arrow__Order__Mirabelle_Oalt @
% 151.54/22.54 tc_Arrow__Order__Mirabelle_Oalt) @
% 151.54/22.54 (hAPP @ v_P @ v_i) @
% 151.54/22.54 (tc_prod @ tc_Arrow__Order__Mirabelle_Oalt @
% 151.54/22.54 tc_Arrow__Order__Mirabelle_Oalt))))),
% 151.54/22.54 inference('sup-', [status(thm)], [zip_derived_cl643, zip_derived_cl47])).
% 151.54/22.54 thf(cls_conjecture_8, conjecture,
% 151.54/22.54 (~( ( ~( c_Relation_Otrans @
% 151.54/22.54 ( hAPP @ V_P @ ( v_Pa @ V_P ) ) @ tc_Arrow__Order__Mirabelle_Oalt ) ) |
% 151.54/22.54 ( ~( c_Relation_Oirrefl @
% 151.54/22.54 ( hAPP @ V_P @ ( v_Pa @ V_P ) ) @ tc_Arrow__Order__Mirabelle_Oalt ) ) |
% 151.54/22.54 ( ~( c_Relation_Ototal__on @
% 151.54/22.54 ( c_Orderings_Otop__class_Otop @
% 151.54/22.54 ( tc_fun @ tc_Arrow__Order__Mirabelle_Oalt @ tc_bool ) ) @
% 151.54/22.54 ( hAPP @ V_P @ ( v_Pa @ V_P ) ) @ tc_Arrow__Order__Mirabelle_Oalt ) ) |
% 151.54/22.54 ( ( V_a ) = ( V_b ) ) |
% 151.54/22.54 ( ~( hBOOL @
% 151.54/22.54 ( c_in @
% 151.54/22.54 ( c_Pair @
% 151.54/22.54 V_a @ V_b @ tc_Arrow__Order__Mirabelle_Oalt @
% 151.54/22.54 tc_Arrow__Order__Mirabelle_Oalt ) @
% 151.54/22.54 ( hAPP @ V_P @ v_i ) @
% 151.54/22.54 ( tc_prod @
% 151.54/22.54 tc_Arrow__Order__Mirabelle_Oalt @
% 151.54/22.54 tc_Arrow__Order__Mirabelle_Oalt ) ) ) ) |
% 151.54/22.54 ( hBOOL @
% 151.54/22.54 ( c_in @
% 151.54/22.54 ( c_Pair @
% 151.54/22.54 V_a @ V_b @ tc_Arrow__Order__Mirabelle_Oalt @
% 151.54/22.54 tc_Arrow__Order__Mirabelle_Oalt ) @
% 151.54/22.54 ( v_F @ V_P ) @
% 151.54/22.54 ( tc_prod @
% 151.54/22.54 tc_Arrow__Order__Mirabelle_Oalt @ tc_Arrow__Order__Mirabelle_Oalt ) ) ) ))).
% 151.54/22.54 thf(zf_stmt_7, negated_conjecture,
% 151.54/22.54 (( ~( c_Relation_Otrans @
% 151.54/22.54 ( hAPP @ V_P @ ( v_Pa @ V_P ) ) @ tc_Arrow__Order__Mirabelle_Oalt ) ) |
% 151.54/22.54 ( ~( c_Relation_Oirrefl @
% 151.54/22.54 ( hAPP @ V_P @ ( v_Pa @ V_P ) ) @ tc_Arrow__Order__Mirabelle_Oalt ) ) |
% 151.54/22.54 ( ~( c_Relation_Ototal__on @
% 151.54/22.54 ( c_Orderings_Otop__class_Otop @
% 151.54/22.54 ( tc_fun @ tc_Arrow__Order__Mirabelle_Oalt @ tc_bool ) ) @
% 151.54/22.54 ( hAPP @ V_P @ ( v_Pa @ V_P ) ) @ tc_Arrow__Order__Mirabelle_Oalt ) ) |
% 151.54/22.54 ( ( V_a ) = ( V_b ) ) |
% 151.54/22.54 ( ~( hBOOL @
% 151.54/22.54 ( c_in @
% 151.54/22.54 ( c_Pair @
% 151.54/22.54 V_a @ V_b @ tc_Arrow__Order__Mirabelle_Oalt @
% 151.54/22.54 tc_Arrow__Order__Mirabelle_Oalt ) @
% 151.54/22.54 ( hAPP @ V_P @ v_i ) @
% 151.54/22.54 ( tc_prod @
% 151.54/22.54 tc_Arrow__Order__Mirabelle_Oalt @ tc_Arrow__Order__Mirabelle_Oalt ) ) ) ) |
% 151.54/22.54 ( hBOOL @
% 151.54/22.54 ( c_in @
% 151.54/22.54 ( c_Pair @
% 151.54/22.54 V_a @ V_b @ tc_Arrow__Order__Mirabelle_Oalt @
% 151.54/22.54 tc_Arrow__Order__Mirabelle_Oalt ) @
% 151.54/22.54 ( v_F @ V_P ) @
% 151.54/22.54 ( tc_prod @
% 151.54/22.54 tc_Arrow__Order__Mirabelle_Oalt @ tc_Arrow__Order__Mirabelle_Oalt ) ) )),
% 151.54/22.54 inference('cnf.neg', [status(esa)], [cls_conjecture_8])).
% 151.54/22.54 thf(zip_derived_cl43, plain,
% 151.54/22.54 (![X0 : $i, X1 : $i, X2 : $i]:
% 151.54/22.54 (~ (c_Relation_Otrans @ (hAPP @ X0 @ (v_Pa @ X0)) @
% 151.54/22.54 tc_Arrow__Order__Mirabelle_Oalt)
% 151.54/22.54 | ~ (c_Relation_Oirrefl @ (hAPP @ X0 @ (v_Pa @ X0)) @
% 151.54/22.54 tc_Arrow__Order__Mirabelle_Oalt)
% 151.54/22.54 | ~ (c_Relation_Ototal__on @
% 151.54/22.54 (c_Orderings_Otop__class_Otop @
% 151.54/22.54 (tc_fun @ tc_Arrow__Order__Mirabelle_Oalt @ tc_bool)) @
% 151.54/22.54 (hAPP @ X0 @ (v_Pa @ X0)) @ tc_Arrow__Order__Mirabelle_Oalt)
% 151.54/22.54 | ((X2) = (X1))
% 151.54/22.54 | ~ (hBOOL @
% 151.54/22.54 (c_in @
% 151.54/22.54 (c_Pair @ X2 @ X1 @ tc_Arrow__Order__Mirabelle_Oalt @
% 151.54/22.54 tc_Arrow__Order__Mirabelle_Oalt) @
% 151.54/22.54 (hAPP @ X0 @ v_i) @
% 151.54/22.54 (tc_prod @ tc_Arrow__Order__Mirabelle_Oalt @
% 151.54/22.54 tc_Arrow__Order__Mirabelle_Oalt)))
% 151.54/22.54 | (hBOOL @
% 151.54/22.54 (c_in @
% 151.54/22.54 (c_Pair @ X2 @ X1 @ tc_Arrow__Order__Mirabelle_Oalt @
% 151.54/22.54 tc_Arrow__Order__Mirabelle_Oalt) @
% 151.54/22.54 (v_F @ X0) @
% 151.54/22.54 (tc_prod @ tc_Arrow__Order__Mirabelle_Oalt @
% 151.54/22.54 tc_Arrow__Order__Mirabelle_Oalt))))),
% 151.54/22.54 inference('cnf', [status(esa)], [zf_stmt_7])).
% 151.54/22.54 thf(zip_derived_cl29288, plain,
% 151.54/22.54 ((((v_b) = (v_a))
% 151.54/22.54 | (hBOOL @
% 151.54/22.54 (c_in @
% 151.54/22.54 (c_Pair @ v_b @ v_a @ tc_Arrow__Order__Mirabelle_Oalt @
% 151.54/22.54 tc_Arrow__Order__Mirabelle_Oalt) @
% 151.54/22.54 (v_F @ v_P) @
% 151.54/22.54 (tc_prod @ tc_Arrow__Order__Mirabelle_Oalt @
% 151.54/22.54 tc_Arrow__Order__Mirabelle_Oalt)))
% 151.54/22.54 | ((v_b) = (v_a))
% 151.54/22.54 | ~ (c_Relation_Ototal__on @
% 151.54/22.54 (c_Orderings_Otop__class_Otop @
% 151.54/22.54 (tc_fun @ tc_Arrow__Order__Mirabelle_Oalt @ tc_bool)) @
% 151.54/22.54 (hAPP @ v_P @ (v_Pa @ v_P)) @ tc_Arrow__Order__Mirabelle_Oalt)
% 151.54/22.54 | ~ (c_Relation_Oirrefl @ (hAPP @ v_P @ (v_Pa @ v_P)) @
% 151.54/22.54 tc_Arrow__Order__Mirabelle_Oalt)
% 151.54/22.54 | ~ (c_Relation_Otrans @ (hAPP @ v_P @ (v_Pa @ v_P)) @
% 151.54/22.54 tc_Arrow__Order__Mirabelle_Oalt))),
% 151.54/22.54 inference('sup-', [status(thm)], [zip_derived_cl29256, zip_derived_cl43])).
% 151.54/22.54 thf(zip_derived_cl49, plain,
% 151.54/22.54 (![X0 : $i]:
% 151.54/22.54 (c_Relation_Ototal__on @
% 151.54/22.54 (c_Orderings_Otop__class_Otop @
% 151.54/22.54 (tc_fun @ tc_Arrow__Order__Mirabelle_Oalt @ tc_bool)) @
% 151.54/22.54 (hAPP @ v_P @ X0) @ tc_Arrow__Order__Mirabelle_Oalt)),
% 151.54/22.54 inference('cnf', [status(esa)], [zf_stmt_4])).
% 151.54/22.54 thf(zip_derived_cl50, plain,
% 151.54/22.54 (![X0 : $i]:
% 151.54/22.54 (c_Relation_Oirrefl @ (hAPP @ v_P @ X0) @
% 151.54/22.54 tc_Arrow__Order__Mirabelle_Oalt)),
% 151.54/22.54 inference('cnf', [status(esa)], [zf_stmt_3])).
% 151.54/22.54 thf(zip_derived_cl51, plain,
% 151.54/22.54 (![X0 : $i]:
% 151.54/22.54 (c_Relation_Otrans @ (hAPP @ v_P @ X0) @
% 151.54/22.54 tc_Arrow__Order__Mirabelle_Oalt)),
% 151.54/22.54 inference('cnf', [status(esa)], [zf_stmt_2])).
% 151.54/22.54 thf(zip_derived_cl29291, plain,
% 151.54/22.54 ((((v_b) = (v_a))
% 151.54/22.54 | (hBOOL @
% 151.54/22.54 (c_in @
% 151.54/22.54 (c_Pair @ v_b @ v_a @ tc_Arrow__Order__Mirabelle_Oalt @
% 151.54/22.54 tc_Arrow__Order__Mirabelle_Oalt) @
% 151.54/22.54 (v_F @ v_P) @
% 151.54/22.54 (tc_prod @ tc_Arrow__Order__Mirabelle_Oalt @
% 151.54/22.54 tc_Arrow__Order__Mirabelle_Oalt)))
% 151.54/22.54 | ((v_b) = (v_a)))),
% 151.54/22.54 inference('demod', [status(thm)],
% 151.54/22.54 [zip_derived_cl29288, zip_derived_cl49, zip_derived_cl50,
% 151.54/22.54 zip_derived_cl51])).
% 151.54/22.54 thf(zip_derived_cl29292, plain,
% 151.54/22.54 (( (hBOOL @
% 151.54/22.54 (c_in @
% 151.54/22.54 (c_Pair @ v_b @ v_a @ tc_Arrow__Order__Mirabelle_Oalt @
% 151.54/22.54 tc_Arrow__Order__Mirabelle_Oalt) @
% 151.54/22.54 (v_F @ v_P) @
% 151.54/22.54 (tc_prod @ tc_Arrow__Order__Mirabelle_Oalt @
% 151.54/22.54 tc_Arrow__Order__Mirabelle_Oalt)))
% 151.54/22.54 | ((v_b) = (v_a)))),
% 151.54/22.54 inference('simplify', [status(thm)], [zip_derived_cl29291])).
% 151.54/22.54 thf(cls_mem__def_0, axiom,
% 151.54/22.54 (( hBOOL @ ( hAPP @ V_S @ V_x ) ) |
% 151.54/22.54 ( ~( hBOOL @ ( c_in @ V_x @ V_S @ T_a ) ) ))).
% 151.54/22.54 thf(zip_derived_cl42, plain,
% 151.54/22.54 (![X0 : $i, X1 : $i, X2 : $i]:
% 151.54/22.54 ( (hBOOL @ (hAPP @ X0 @ X1)) | ~ (hBOOL @ (c_in @ X1 @ X0 @ X2)))),
% 151.54/22.54 inference('cnf', [status(esa)], [cls_mem__def_0])).
% 151.54/22.54 thf(zip_derived_cl29300, plain,
% 151.54/22.54 ((((v_b) = (v_a))
% 151.54/22.54 | (hBOOL @
% 151.54/22.54 (hAPP @ (v_F @ v_P) @
% 151.54/22.54 (c_Pair @ v_b @ v_a @ tc_Arrow__Order__Mirabelle_Oalt @
% 151.54/22.54 tc_Arrow__Order__Mirabelle_Oalt))))),
% 151.54/22.54 inference('sup-', [status(thm)], [zip_derived_cl29292, zip_derived_cl42])).
% 151.54/22.54 thf(zip_derived_cl122, plain,
% 151.54/22.54 (~ (hBOOL @
% 151.54/22.54 (hAPP @ (v_F @ v_P) @
% 151.54/22.54 (c_Pair @ v_b @ v_a @ tc_Arrow__Order__Mirabelle_Oalt @
% 151.54/22.54 tc_Arrow__Order__Mirabelle_Oalt)))),
% 151.54/22.54 inference('demod', [status(thm)], [zip_derived_cl120, zip_derived_cl61])).
% 151.54/22.54 thf(zip_derived_cl29318, plain, (((v_b) = (v_a))),
% 151.54/22.54 inference('clc', [status(thm)], [zip_derived_cl29300, zip_derived_cl122])).
% 151.54/22.54 thf(zip_derived_cl29329, plain,
% 151.54/22.54 (~ (hBOOL @
% 151.54/22.54 (hAPP @ (v_F @ v_P) @
% 151.54/22.54 (c_Pair @ v_b @ v_b @ tc_Arrow__Order__Mirabelle_Oalt @
% 151.54/22.54 tc_Arrow__Order__Mirabelle_Oalt)))),
% 151.54/22.54 inference('demod', [status(thm)],
% 151.54/22.54 [zip_derived_cl122, zip_derived_cl29318])).
% 151.54/22.54 thf(zip_derived_cl48, plain,
% 151.54/22.54 ( (hBOOL @
% 151.54/22.54 (c_in @
% 151.54/22.54 (c_Pair @ v_a @ v_b @ tc_Arrow__Order__Mirabelle_Oalt @
% 151.54/22.54 tc_Arrow__Order__Mirabelle_Oalt) @
% 151.54/22.54 (v_F @ v_P) @
% 151.54/22.54 (tc_prod @ tc_Arrow__Order__Mirabelle_Oalt @
% 151.54/22.54 tc_Arrow__Order__Mirabelle_Oalt)))),
% 151.54/22.54 inference('cnf', [status(esa)], [zf_stmt_0])).
% 151.54/22.54 thf(zip_derived_cl42, plain,
% 151.54/22.54 (![X0 : $i, X1 : $i, X2 : $i]:
% 151.54/22.54 ( (hBOOL @ (hAPP @ X0 @ X1)) | ~ (hBOOL @ (c_in @ X1 @ X0 @ X2)))),
% 151.54/22.54 inference('cnf', [status(esa)], [cls_mem__def_0])).
% 151.54/22.54 thf(zip_derived_cl56, plain,
% 151.54/22.54 ( (hBOOL @
% 151.54/22.54 (hAPP @ (v_F @ v_P) @
% 151.54/22.54 (c_Pair @ v_a @ v_b @ tc_Arrow__Order__Mirabelle_Oalt @
% 151.54/22.54 tc_Arrow__Order__Mirabelle_Oalt)))),
% 151.54/22.54 inference('sup-', [status(thm)], [zip_derived_cl48, zip_derived_cl42])).
% 151.54/22.54 thf(zip_derived_cl29318, plain, (((v_b) = (v_a))),
% 151.54/22.54 inference('clc', [status(thm)], [zip_derived_cl29300, zip_derived_cl122])).
% 151.54/22.54 thf(zip_derived_cl29321, plain,
% 151.54/22.54 ( (hBOOL @
% 151.54/22.54 (hAPP @ (v_F @ v_P) @
% 151.54/22.54 (c_Pair @ v_b @ v_b @ tc_Arrow__Order__Mirabelle_Oalt @
% 151.54/22.54 tc_Arrow__Order__Mirabelle_Oalt)))),
% 151.54/22.54 inference('demod', [status(thm)], [zip_derived_cl56, zip_derived_cl29318])).
% 151.54/22.54 thf(zip_derived_cl29910, plain, ($false),
% 151.54/22.54 inference('demod', [status(thm)],
% 151.54/22.54 [zip_derived_cl29329, zip_derived_cl29321])).
% 151.54/22.54
% 151.54/22.54 % SZS output end Refutation
% 151.54/22.54
% 151.54/22.54
% 151.54/22.54 % Terminating...
% 152.72/22.64 % Runner terminated.
% 152.72/22.65 % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------