%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : SWV849-1 : TPTP v9.2.0. Released v4.1.0.
% Transfm : none
% Format : tptp:raw
% Command : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.3gCQ4I51od true
% Computer : n021.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Thu Oct 2 05:02:04 PM UTC 2025
% Result : Unsatisfiable 8.53s 1.87s
% Output : Refutation 8.53s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.04/0.12 % Problem : SWV849-1 : TPTP v9.2.0. Released v4.1.0.
% 0.13/0.14 % Command : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.3gCQ4I51od true
% 0.13/0.35 % Computer : n021.cluster.edu
% 0.13/0.35 % Model : x86_64 x86_64
% 0.13/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.35 % Memory : 8042.1875MB
% 0.13/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.35 % CPULimit : 300
% 0.13/0.35 % WCLimit : 300
% 0.13/0.35 % DateTime : Wed Oct 1 12:51:23 EDT 2025
% 0.13/0.35 % CPUTime :
% 0.13/0.35 % Running portfolio for 300 s
% 0.13/0.35 % File : /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.13/0.35 % Number of cores: 8
% 0.13/0.35 % Python version: Python 3.6.8
% 0.13/0.36 % Running in FO mode
% 0.56/0.68 % Total configuration time : 435
% 0.56/0.68 % Estimated wc time : 1092
% 0.56/0.68 % Estimated cpu time (7 cpus) : 156.0
% 0.59/0.77 % /export/starexec/sandbox2/solver/bin/fo/fo6_bce.sh running for 75s
% 0.59/0.79 % /export/starexec/sandbox2/solver/bin/fo/fo3_bce.sh running for 75s
% 0.59/0.80 % /export/starexec/sandbox2/solver/bin/fo/fo7.sh running for 63s
% 0.59/0.81 % /export/starexec/sandbox2/solver/bin/fo/fo1_av.sh running for 75s
% 0.59/0.81 % /export/starexec/sandbox2/solver/bin/fo/fo13.sh running for 50s
% 0.59/0.81 % /export/starexec/sandbox2/solver/bin/fo/fo5.sh running for 50s
% 0.59/0.83 % /export/starexec/sandbox2/solver/bin/fo/fo4.sh running for 50s
% 8.53/1.87 % Solved by fo/fo4.sh.
% 8.53/1.87 % done 658 iterations in 1.014s
% 8.53/1.87 % SZS status Theorem for '/export/starexec/sandbox2/benchmark/theBenchmark.p'
% 8.53/1.87 % SZS output start Refutation
% 8.53/1.87 thf(v_xb_type, type, v_xb: $i).
% 8.53/1.87 thf(v_s1_type, type, v_s1: $i).
% 8.53/1.87 thf(t_a_type, type, t_a: $i).
% 8.53/1.87 thf(v_P_type, type, v_P: $i).
% 8.53/1.87 thf(hAPP_type, type, hAPP: $i > $i > $i).
% 8.53/1.87 thf(c_Natural_Oevaln_type, type, c_Natural_Oevaln: $i > $i > $i > $i > $o).
% 8.53/1.87 thf(v_xa_type, type, v_xa: $i).
% 8.53/1.87 thf(v_na_type, type, v_na: $i).
% 8.53/1.87 thf(c_in_type, type, c_in: $i > $i).
% 8.53/1.87 thf(v_b_type, type, v_b: $i).
% 8.53/1.87 thf(v_G_type, type, v_G: $i).
% 8.53/1.87 thf(v_c_type, type, v_c: $i).
% 8.53/1.87 thf(v_ba_type, type, v_ba: $i).
% 8.53/1.87 thf(c_Com_Ocom_OWhile_type, type, c_Com_Ocom_OWhile: $i > $i > $i).
% 8.53/1.87 thf(v_ca_type, type, v_ca: $i).
% 8.53/1.87 thf(v_n_type, type, v_n: $i > $i).
% 8.53/1.87 thf(tc_Hoare__Mirabelle_Otriple_type, type, tc_Hoare__Mirabelle_Otriple:
% 8.53/1.87 $i > $i).
% 8.53/1.87 thf(v_s0_type, type, v_s0: $i).
% 8.53/1.87 thf(hBOOL_type, type, hBOOL: $i > $o).
% 8.53/1.87 thf(v_s2_type, type, v_s2: $i).
% 8.53/1.87 thf(c_Hoare__Mirabelle_Otriple__valid_type, type, c_Hoare__Mirabelle_Otriple__valid:
% 8.53/1.87 $i > $i > $i > $o).
% 8.53/1.87 thf(cls_mem__def_1, axiom,
% 8.53/1.87 (( hBOOL @ ( hAPP @ ( hAPP @ ( c_in @ T_a ) @ V_x ) @ V_S ) ) |
% 8.53/1.87 ( ~( hBOOL @ ( hAPP @ V_S @ V_x ) ) ))).
% 8.53/1.87 thf(zip_derived_cl36, plain,
% 8.53/1.87 (![X0 : $i, X1 : $i, X2 : $i]:
% 8.53/1.87 ( (hBOOL @ (hAPP @ (hAPP @ (c_in @ X0) @ X1) @ X2))
% 8.53/1.87 | ~ (hBOOL @ (hAPP @ X2 @ X1)))),
% 8.53/1.87 inference('cnf', [status(esa)], [cls_mem__def_1])).
% 8.53/1.87 thf(cls_conjecture_6, conjecture,
% 8.53/1.87 (~( ( ~( hBOOL @
% 8.53/1.87 ( hAPP @
% 8.53/1.87 ( hAPP @ ( c_in @ ( tc_Hoare__Mirabelle_Otriple @ t_a ) ) @ V_x ) @
% 8.53/1.87 v_G ) ) ) |
% 8.53/1.87 ( c_Hoare__Mirabelle_Otriple__valid @ v_na @ V_x @ t_a ) ))).
% 8.53/1.87 thf(zf_stmt_0, negated_conjecture,
% 8.53/1.87 (( ~( hBOOL @
% 8.53/1.87 ( hAPP @
% 8.53/1.87 ( hAPP @ ( c_in @ ( tc_Hoare__Mirabelle_Otriple @ t_a ) ) @ V_x ) @
% 8.53/1.87 v_G ) ) ) |
% 8.53/1.87 ( c_Hoare__Mirabelle_Otriple__valid @ v_na @ V_x @ t_a )),
% 8.53/1.87 inference('cnf.neg', [status(esa)], [cls_conjecture_6])).
% 8.53/1.87 thf(zip_derived_cl52, plain,
% 8.53/1.87 (![X0 : $i]:
% 8.53/1.87 (~ (hBOOL @
% 8.53/1.87 (hAPP @
% 8.53/1.87 (hAPP @ (c_in @ (tc_Hoare__Mirabelle_Otriple @ t_a)) @ X0) @ v_G))
% 8.53/1.87 | (c_Hoare__Mirabelle_Otriple__valid @ v_na @ X0 @ t_a))),
% 8.53/1.87 inference('cnf', [status(esa)], [zf_stmt_0])).
% 8.53/1.87 thf(zip_derived_cl96, plain,
% 8.53/1.87 (![X0 : $i]:
% 8.53/1.87 (~ (hBOOL @ (hAPP @ v_G @ X0))
% 8.53/1.87 | (c_Hoare__Mirabelle_Otriple__valid @ v_na @ X0 @ t_a))),
% 8.53/1.87 inference('sup-', [status(thm)], [zip_derived_cl36, zip_derived_cl52])).
% 8.53/1.87 thf(cls_conjecture_14, conjecture,
% 8.53/1.87 (~( ( ~( c_Hoare__Mirabelle_Otriple__valid @ v_na @ v_xa @ t_a ) ) |
% 8.53/1.87 ( ~( hBOOL @ ( hAPP @ ( hAPP @ v_P @ V_Za ) @ v_s1 ) ) ) |
% 8.53/1.87 ( hBOOL @ ( hAPP @ ( hAPP @ v_P @ V_Za ) @ v_s2 ) ) |
% 8.53/1.87 ( ( c_Com_Ocom_OWhile @ v_ba @ v_ca ) !=
% 8.53/1.87 ( c_Com_Ocom_OWhile @ v_b @ v_c ) ) ))).
% 8.53/1.87 thf(zf_stmt_1, negated_conjecture,
% 8.53/1.87 (( ~( c_Hoare__Mirabelle_Otriple__valid @ v_na @ v_xa @ t_a ) ) |
% 8.53/1.87 ( ~( hBOOL @ ( hAPP @ ( hAPP @ v_P @ V_Za ) @ v_s1 ) ) ) |
% 8.53/1.87 ( hBOOL @ ( hAPP @ ( hAPP @ v_P @ V_Za ) @ v_s2 ) ) |
% 8.53/1.87 ( ( c_Com_Ocom_OWhile @ v_ba @ v_ca ) != ( c_Com_Ocom_OWhile @ v_b @ v_c ) )),
% 8.53/1.87 inference('cnf.neg', [status(esa)], [cls_conjecture_14])).
% 8.53/1.87 thf(zip_derived_cl44, plain,
% 8.53/1.87 (![X0 : $i]:
% 8.53/1.87 (~ (c_Hoare__Mirabelle_Otriple__valid @ v_na @ v_xa @ t_a)
% 8.53/1.87 | ~ (hBOOL @ (hAPP @ (hAPP @ v_P @ X0) @ v_s1))
% 8.53/1.87 | (hBOOL @ (hAPP @ (hAPP @ v_P @ X0) @ v_s2))
% 8.53/1.87 | ((c_Com_Ocom_OWhile @ v_ba @ v_ca)
% 8.53/1.87 != (c_Com_Ocom_OWhile @ v_b @ v_c)))),
% 8.53/1.87 inference('cnf', [status(esa)], [zf_stmt_1])).
% 8.53/1.87 thf(cls_conjecture_3, conjecture, (( v_ba ) != ( v_b ))).
% 8.53/1.87 thf(zf_stmt_2, negated_conjecture, (( v_ba ) = ( v_b )),
% 8.53/1.87 inference('cnf.neg', [status(esa)], [cls_conjecture_3])).
% 8.53/1.87 thf(zip_derived_cl55, plain, (((v_ba) = (v_b))),
% 8.53/1.87 inference('cnf', [status(esa)], [zf_stmt_2])).
% 8.53/1.87 thf(cls_conjecture_4, conjecture, (( v_ca ) != ( v_c ))).
% 8.53/1.87 thf(zf_stmt_3, negated_conjecture, (( v_ca ) = ( v_c )),
% 8.53/1.87 inference('cnf.neg', [status(esa)], [cls_conjecture_4])).
% 8.53/1.87 thf(zip_derived_cl54, plain, (((v_ca) = (v_c))),
% 8.53/1.87 inference('cnf', [status(esa)], [zf_stmt_3])).
% 8.53/1.87 thf(zip_derived_cl169, plain,
% 8.53/1.87 (![X0 : $i]:
% 8.53/1.87 (~ (c_Hoare__Mirabelle_Otriple__valid @ v_na @ v_xa @ t_a)
% 8.53/1.87 | ~ (hBOOL @ (hAPP @ (hAPP @ v_P @ X0) @ v_s1))
% 8.53/1.87 | (hBOOL @ (hAPP @ (hAPP @ v_P @ X0) @ v_s2))
% 8.53/1.87 | ((c_Com_Ocom_OWhile @ v_b @ v_c) != (c_Com_Ocom_OWhile @ v_b @ v_c)))),
% 8.53/1.87 inference('demod', [status(thm)],
% 8.53/1.87 [zip_derived_cl44, zip_derived_cl55, zip_derived_cl54])).
% 8.53/1.87 thf(zip_derived_cl170, plain,
% 8.53/1.87 (![X0 : $i]:
% 8.53/1.87 ( (hBOOL @ (hAPP @ (hAPP @ v_P @ X0) @ v_s2))
% 8.53/1.87 | ~ (hBOOL @ (hAPP @ (hAPP @ v_P @ X0) @ v_s1))
% 8.53/1.87 | ~ (c_Hoare__Mirabelle_Otriple__valid @ v_na @ v_xa @ t_a))),
% 8.53/1.87 inference('simplify', [status(thm)], [zip_derived_cl169])).
% 8.53/1.87 thf(cls_conjecture_7, conjecture,
% 8.53/1.87 (~( ( ~( hBOOL @ ( hAPP @ ( hAPP @ v_P @ v_xb ) @ v_s2 ) ) ) |
% 8.53/1.87 ( hBOOL @ ( hAPP @ v_b @ v_s2 ) ) ))).
% 8.53/1.87 thf(zf_stmt_4, negated_conjecture,
% 8.53/1.87 (( ~( hBOOL @ ( hAPP @ ( hAPP @ v_P @ v_xb ) @ v_s2 ) ) ) |
% 8.53/1.87 ( hBOOL @ ( hAPP @ v_b @ v_s2 ) )),
% 8.53/1.87 inference('cnf.neg', [status(esa)], [cls_conjecture_7])).
% 8.53/1.87 thf(zip_derived_cl51, plain,
% 8.53/1.87 ((~ (hBOOL @ (hAPP @ (hAPP @ v_P @ v_xb) @ v_s2))
% 8.53/1.87 | (hBOOL @ (hAPP @ v_b @ v_s2)))),
% 8.53/1.87 inference('cnf', [status(esa)], [zf_stmt_4])).
% 8.53/1.87 thf(zip_derived_cl171, plain,
% 8.53/1.87 ((~ (c_Hoare__Mirabelle_Otriple__valid @ v_na @ v_xa @ t_a)
% 8.53/1.87 | ~ (hBOOL @ (hAPP @ (hAPP @ v_P @ v_xb) @ v_s1))
% 8.53/1.87 | (hBOOL @ (hAPP @ v_b @ v_s2)))),
% 8.53/1.87 inference('sup-', [status(thm)], [zip_derived_cl170, zip_derived_cl51])).
% 8.53/1.87 thf(cls_conjecture_15, conjecture,
% 8.53/1.87 (~( ( ~( c_Hoare__Mirabelle_Otriple__valid @ v_na @ v_xa @ t_a ) ) |
% 8.53/1.87 ( ~( hBOOL @ ( hAPP @ ( hAPP @ v_P @ V_Za ) @ v_s1 ) ) ) |
% 8.53/1.87 ( ~( hBOOL @ ( hAPP @ v_b @ v_s2 ) ) ) |
% 8.53/1.87 ( ( c_Com_Ocom_OWhile @ v_ba @ v_ca ) !=
% 8.53/1.87 ( c_Com_Ocom_OWhile @ v_b @ v_c ) ) ))).
% 8.53/1.87 thf(zf_stmt_5, negated_conjecture,
% 8.53/1.87 (( ~( c_Hoare__Mirabelle_Otriple__valid @ v_na @ v_xa @ t_a ) ) |
% 8.53/1.87 ( ~( hBOOL @ ( hAPP @ ( hAPP @ v_P @ V_Za ) @ v_s1 ) ) ) |
% 8.53/1.87 ( ~( hBOOL @ ( hAPP @ v_b @ v_s2 ) ) ) |
% 8.53/1.87 ( ( c_Com_Ocom_OWhile @ v_ba @ v_ca ) != ( c_Com_Ocom_OWhile @ v_b @ v_c ) )),
% 8.53/1.87 inference('cnf.neg', [status(esa)], [cls_conjecture_15])).
% 8.53/1.87 thf(zip_derived_cl43, plain,
% 8.53/1.87 (![X0 : $i]:
% 8.53/1.87 (~ (c_Hoare__Mirabelle_Otriple__valid @ v_na @ v_xa @ t_a)
% 8.53/1.87 | ~ (hBOOL @ (hAPP @ (hAPP @ v_P @ X0) @ v_s1))
% 8.53/1.87 | ~ (hBOOL @ (hAPP @ v_b @ v_s2))
% 8.53/1.87 | ((c_Com_Ocom_OWhile @ v_ba @ v_ca)
% 8.53/1.87 != (c_Com_Ocom_OWhile @ v_b @ v_c)))),
% 8.53/1.87 inference('cnf', [status(esa)], [zf_stmt_5])).
% 8.53/1.87 thf(zip_derived_cl55, plain, (((v_ba) = (v_b))),
% 8.53/1.87 inference('cnf', [status(esa)], [zf_stmt_2])).
% 8.53/1.87 thf(zip_derived_cl54, plain, (((v_ca) = (v_c))),
% 8.53/1.87 inference('cnf', [status(esa)], [zf_stmt_3])).
% 8.53/1.87 thf(zip_derived_cl90, plain,
% 8.53/1.87 (![X0 : $i]:
% 8.53/1.87 (~ (c_Hoare__Mirabelle_Otriple__valid @ v_na @ v_xa @ t_a)
% 8.53/1.87 | ~ (hBOOL @ (hAPP @ (hAPP @ v_P @ X0) @ v_s1))
% 8.53/1.87 | ~ (hBOOL @ (hAPP @ v_b @ v_s2))
% 8.53/1.87 | ((c_Com_Ocom_OWhile @ v_b @ v_c) != (c_Com_Ocom_OWhile @ v_b @ v_c)))),
% 8.53/1.87 inference('demod', [status(thm)],
% 8.53/1.87 [zip_derived_cl43, zip_derived_cl55, zip_derived_cl54])).
% 8.53/1.87 thf(zip_derived_cl91, plain,
% 8.53/1.87 (![X0 : $i]:
% 8.53/1.87 (~ (hBOOL @ (hAPP @ v_b @ v_s2))
% 8.53/1.87 | ~ (hBOOL @ (hAPP @ (hAPP @ v_P @ X0) @ v_s1))
% 8.53/1.87 | ~ (c_Hoare__Mirabelle_Otriple__valid @ v_na @ v_xa @ t_a))),
% 8.53/1.87 inference('simplify', [status(thm)], [zip_derived_cl90])).
% 8.53/1.87 thf(zip_derived_cl193, plain,
% 8.53/1.87 ((~ (hBOOL @ (hAPP @ (hAPP @ v_P @ v_xb) @ v_s1))
% 8.53/1.87 | ~ (c_Hoare__Mirabelle_Otriple__valid @ v_na @ v_xa @ t_a))),
% 8.53/1.87 inference('clc', [status(thm)], [zip_derived_cl171, zip_derived_cl91])).
% 8.53/1.87 thf(zip_derived_cl194, plain,
% 8.53/1.87 ((~ (hBOOL @ (hAPP @ v_G @ v_xa))
% 8.53/1.87 | ~ (hBOOL @ (hAPP @ (hAPP @ v_P @ v_xb) @ v_s1)))),
% 8.53/1.87 inference('sup-', [status(thm)], [zip_derived_cl96, zip_derived_cl193])).
% 8.53/1.87 thf(cls_conjecture_1, conjecture,
% 8.53/1.87 (~( c_Natural_Oevaln @ v_ca @ v_s0 @ v_na @ v_s1 ))).
% 8.53/1.87 thf(zf_stmt_6, negated_conjecture,
% 8.53/1.87 (c_Natural_Oevaln @ v_ca @ v_s0 @ v_na @ v_s1),
% 8.53/1.87 inference('cnf.neg', [status(esa)], [cls_conjecture_1])).
% 8.53/1.87 thf(zip_derived_cl57, plain,
% 8.53/1.87 ( (c_Natural_Oevaln @ v_ca @ v_s0 @ v_na @ v_s1)),
% 8.53/1.87 inference('cnf', [status(esa)], [zf_stmt_6])).
% 8.53/1.87 thf(zip_derived_cl54, plain, (((v_ca) = (v_c))),
% 8.53/1.87 inference('cnf', [status(esa)], [zf_stmt_3])).
% 8.53/1.87 thf(zip_derived_cl60, plain,
% 8.53/1.87 ( (c_Natural_Oevaln @ v_c @ v_s0 @ v_na @ v_s1)),
% 8.53/1.87 inference('demod', [status(thm)], [zip_derived_cl57, zip_derived_cl54])).
% 8.53/1.87 thf(cls_conjecture_5, conjecture,
% 8.53/1.87 (~( hBOOL @ ( hAPP @ ( hAPP @ v_P @ v_xb ) @ v_s0 ) ))).
% 8.53/1.87 thf(zf_stmt_7, negated_conjecture,
% 8.53/1.87 (hBOOL @ ( hAPP @ ( hAPP @ v_P @ v_xb ) @ v_s0 )),
% 8.53/1.87 inference('cnf.neg', [status(esa)], [cls_conjecture_5])).
% 8.53/1.87 thf(zip_derived_cl53, plain,
% 8.53/1.87 ( (hBOOL @ (hAPP @ (hAPP @ v_P @ v_xb) @ v_s0))),
% 8.53/1.87 inference('cnf', [status(esa)], [zf_stmt_7])).
% 8.53/1.87 thf(cls_conjecture_16, conjecture,
% 8.53/1.87 (~( ( hBOOL @
% 8.53/1.87 ( hAPP @
% 8.53/1.87 ( hAPP @
% 8.53/1.87 ( c_in @ ( tc_Hoare__Mirabelle_Otriple @ t_a ) ) @ ( v_n @ V_na ) ) @
% 8.53/1.87 v_G ) ) |
% 8.53/1.87 ( ~( hBOOL @ ( hAPP @ ( hAPP @ v_P @ V_Z ) @ V_s ) ) ) |
% 8.53/1.87 ( ~( hBOOL @ ( hAPP @ v_b @ V_s ) ) ) |
% 8.53/1.87 ( ~( c_Natural_Oevaln @ v_c @ V_s @ V_na @ V_s_H ) ) |
% 8.53/1.87 ( hBOOL @ ( hAPP @ ( hAPP @ v_P @ V_Z ) @ V_s_H ) ) ))).
% 8.53/1.87 thf(zf_stmt_8, negated_conjecture,
% 8.53/1.87 (( hBOOL @
% 8.53/1.87 ( hAPP @
% 8.53/1.87 ( hAPP @
% 8.53/1.87 ( c_in @ ( tc_Hoare__Mirabelle_Otriple @ t_a ) ) @ ( v_n @ V_na ) ) @
% 8.53/1.87 v_G ) ) |
% 8.53/1.87 ( ~( hBOOL @ ( hAPP @ ( hAPP @ v_P @ V_Z ) @ V_s ) ) ) |
% 8.53/1.87 ( ~( hBOOL @ ( hAPP @ v_b @ V_s ) ) ) |
% 8.53/1.87 ( ~( c_Natural_Oevaln @ v_c @ V_s @ V_na @ V_s_H ) ) |
% 8.53/1.87 ( hBOOL @ ( hAPP @ ( hAPP @ v_P @ V_Z ) @ V_s_H ) )),
% 8.53/1.87 inference('cnf.neg', [status(esa)], [cls_conjecture_16])).
% 8.53/1.87 thf(zip_derived_cl42, plain,
% 8.53/1.87 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 8.53/1.87 ( (hBOOL @
% 8.53/1.87 (hAPP @
% 8.53/1.87 (hAPP @ (c_in @ (tc_Hoare__Mirabelle_Otriple @ t_a)) @ (v_n @ X0)) @
% 8.53/1.87 v_G))
% 8.53/1.87 | ~ (hBOOL @ (hAPP @ (hAPP @ v_P @ X1) @ X2))
% 8.53/1.87 | ~ (hBOOL @ (hAPP @ v_b @ X2))
% 8.53/1.87 | ~ (c_Natural_Oevaln @ v_c @ X2 @ X0 @ X3)
% 8.53/1.87 | (hBOOL @ (hAPP @ (hAPP @ v_P @ X1) @ X3)))),
% 8.53/1.87 inference('cnf', [status(esa)], [zf_stmt_8])).
% 8.53/1.87 thf(zip_derived_cl633, plain,
% 8.53/1.87 (![X0 : $i, X1 : $i]:
% 8.53/1.87 ( (hBOOL @ (hAPP @ (hAPP @ v_P @ v_xb) @ X0))
% 8.53/1.87 | ~ (c_Natural_Oevaln @ v_c @ v_s0 @ X1 @ X0)
% 8.53/1.87 | ~ (hBOOL @ (hAPP @ v_b @ v_s0))
% 8.53/1.87 | (hBOOL @
% 8.53/1.87 (hAPP @
% 8.53/1.87 (hAPP @ (c_in @ (tc_Hoare__Mirabelle_Otriple @ t_a)) @
% 8.53/1.87 (v_n @ X1)) @
% 8.53/1.87 v_G)))),
% 8.53/1.87 inference('sup-', [status(thm)], [zip_derived_cl53, zip_derived_cl42])).
% 8.53/1.87 thf(cls_conjecture_0, conjecture, (~( hBOOL @ ( hAPP @ v_ba @ v_s0 ) ))).
% 8.53/1.87 thf(zf_stmt_9, negated_conjecture, (hBOOL @ ( hAPP @ v_ba @ v_s0 )),
% 8.53/1.87 inference('cnf.neg', [status(esa)], [cls_conjecture_0])).
% 8.53/1.87 thf(zip_derived_cl58, plain, ( (hBOOL @ (hAPP @ v_ba @ v_s0))),
% 8.53/1.87 inference('cnf', [status(esa)], [zf_stmt_9])).
% 8.53/1.87 thf(zip_derived_cl55, plain, (((v_ba) = (v_b))),
% 8.53/1.87 inference('cnf', [status(esa)], [zf_stmt_2])).
% 8.53/1.87 thf(zip_derived_cl59, plain, ( (hBOOL @ (hAPP @ v_b @ v_s0))),
% 8.53/1.87 inference('demod', [status(thm)], [zip_derived_cl58, zip_derived_cl55])).
% 8.53/1.87 thf(zip_derived_cl638, plain,
% 8.53/1.87 (![X0 : $i, X1 : $i]:
% 8.53/1.87 ( (hBOOL @ (hAPP @ (hAPP @ v_P @ v_xb) @ X0))
% 8.53/1.87 | ~ (c_Natural_Oevaln @ v_c @ v_s0 @ X1 @ X0)
% 8.53/1.87 | (hBOOL @
% 8.53/1.87 (hAPP @
% 8.53/1.87 (hAPP @ (c_in @ (tc_Hoare__Mirabelle_Otriple @ t_a)) @
% 8.53/1.87 (v_n @ X1)) @
% 8.53/1.87 v_G)))),
% 8.53/1.87 inference('demod', [status(thm)], [zip_derived_cl633, zip_derived_cl59])).
% 8.53/1.87 thf(zip_derived_cl3202, plain,
% 8.53/1.87 (( (hBOOL @
% 8.53/1.87 (hAPP @
% 8.53/1.87 (hAPP @ (c_in @ (tc_Hoare__Mirabelle_Otriple @ t_a)) @ (v_n @ v_na)) @
% 8.53/1.87 v_G))
% 8.53/1.87 | (hBOOL @ (hAPP @ (hAPP @ v_P @ v_xb) @ v_s1)))),
% 8.53/1.87 inference('sup-', [status(thm)], [zip_derived_cl60, zip_derived_cl638])).
% 8.53/1.87 thf(zip_derived_cl52, plain,
% 8.53/1.87 (![X0 : $i]:
% 8.53/1.87 (~ (hBOOL @
% 8.53/1.87 (hAPP @
% 8.53/1.87 (hAPP @ (c_in @ (tc_Hoare__Mirabelle_Otriple @ t_a)) @ X0) @ v_G))
% 8.53/1.87 | (c_Hoare__Mirabelle_Otriple__valid @ v_na @ X0 @ t_a))),
% 8.53/1.87 inference('cnf', [status(esa)], [zf_stmt_0])).
% 8.53/1.87 thf(zip_derived_cl3206, plain,
% 8.53/1.87 (( (hBOOL @ (hAPP @ (hAPP @ v_P @ v_xb) @ v_s1))
% 8.53/1.87 | (c_Hoare__Mirabelle_Otriple__valid @ v_na @ (v_n @ v_na) @ t_a))),
% 8.53/1.87 inference('sup-', [status(thm)], [zip_derived_cl3202, zip_derived_cl52])).
% 8.53/1.87 thf(zip_derived_cl60, plain,
% 8.53/1.87 ( (c_Natural_Oevaln @ v_c @ v_s0 @ v_na @ v_s1)),
% 8.53/1.87 inference('demod', [status(thm)], [zip_derived_cl57, zip_derived_cl54])).
% 8.53/1.87 thf(zip_derived_cl53, plain,
% 8.53/1.87 ( (hBOOL @ (hAPP @ (hAPP @ v_P @ v_xb) @ v_s0))),
% 8.53/1.87 inference('cnf', [status(esa)], [zf_stmt_7])).
% 8.53/1.87 thf(cls_conjecture_17, conjecture,
% 8.53/1.87 (~( ( ~( c_Hoare__Mirabelle_Otriple__valid @ V_na @ ( v_n @ V_na ) @ t_a ) ) |
% 8.53/1.87 ( ~( hBOOL @ ( hAPP @ ( hAPP @ v_P @ V_Za ) @ V_sa ) ) ) |
% 8.53/1.87 ( ~( hBOOL @ ( hAPP @ v_b @ V_sa ) ) ) |
% 8.53/1.87 ( ~( c_Natural_Oevaln @ v_c @ V_sa @ V_na @ V_s_Ha ) ) |
% 8.53/1.87 ( hBOOL @ ( hAPP @ ( hAPP @ v_P @ V_Za ) @ V_s_Ha ) ) ))).
% 8.53/1.87 thf(zf_stmt_10, negated_conjecture,
% 8.53/1.87 (( ~( c_Hoare__Mirabelle_Otriple__valid @ V_na @ ( v_n @ V_na ) @ t_a ) ) |
% 8.53/1.87 ( ~( hBOOL @ ( hAPP @ ( hAPP @ v_P @ V_Za ) @ V_sa ) ) ) |
% 8.53/1.87 ( ~( hBOOL @ ( hAPP @ v_b @ V_sa ) ) ) |
% 8.53/1.87 ( ~( c_Natural_Oevaln @ v_c @ V_sa @ V_na @ V_s_Ha ) ) |
% 8.53/1.87 ( hBOOL @ ( hAPP @ ( hAPP @ v_P @ V_Za ) @ V_s_Ha ) )),
% 8.53/1.87 inference('cnf.neg', [status(esa)], [cls_conjecture_17])).
% 8.53/1.87 thf(zip_derived_cl41, plain,
% 8.53/1.87 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 8.53/1.87 (~ (c_Hoare__Mirabelle_Otriple__valid @ X0 @ (v_n @ X0) @ t_a)
% 8.53/1.87 | ~ (hBOOL @ (hAPP @ (hAPP @ v_P @ X1) @ X2))
% 8.53/1.87 | ~ (hBOOL @ (hAPP @ v_b @ X2))
% 8.53/1.87 | ~ (c_Natural_Oevaln @ v_c @ X2 @ X0 @ X3)
% 8.53/1.87 | (hBOOL @ (hAPP @ (hAPP @ v_P @ X1) @ X3)))),
% 8.53/1.87 inference('cnf', [status(esa)], [zf_stmt_10])).
% 8.53/1.87 thf(zip_derived_cl468, plain,
% 8.53/1.87 (![X0 : $i, X1 : $i]:
% 8.53/1.87 ( (hBOOL @ (hAPP @ (hAPP @ v_P @ v_xb) @ X0))
% 8.53/1.87 | ~ (c_Natural_Oevaln @ v_c @ v_s0 @ X1 @ X0)
% 8.53/1.87 | ~ (hBOOL @ (hAPP @ v_b @ v_s0))
% 8.53/1.87 | ~ (c_Hoare__Mirabelle_Otriple__valid @ X1 @ (v_n @ X1) @ t_a))),
% 8.53/1.87 inference('sup-', [status(thm)], [zip_derived_cl53, zip_derived_cl41])).
% 8.53/1.87 thf(zip_derived_cl59, plain, ( (hBOOL @ (hAPP @ v_b @ v_s0))),
% 8.53/1.87 inference('demod', [status(thm)], [zip_derived_cl58, zip_derived_cl55])).
% 8.53/1.87 thf(zip_derived_cl472, plain,
% 8.53/1.87 (![X0 : $i, X1 : $i]:
% 8.53/1.87 ( (hBOOL @ (hAPP @ (hAPP @ v_P @ v_xb) @ X0))
% 8.53/1.87 | ~ (c_Natural_Oevaln @ v_c @ v_s0 @ X1 @ X0)
% 8.53/1.87 | ~ (c_Hoare__Mirabelle_Otriple__valid @ X1 @ (v_n @ X1) @ t_a))),
% 8.53/1.87 inference('demod', [status(thm)], [zip_derived_cl468, zip_derived_cl59])).
% 8.53/1.87 thf(zip_derived_cl475, plain,
% 8.53/1.87 ((~ (c_Hoare__Mirabelle_Otriple__valid @ v_na @ (v_n @ v_na) @ t_a)
% 8.53/1.87 | (hBOOL @ (hAPP @ (hAPP @ v_P @ v_xb) @ v_s1)))),
% 8.53/1.87 inference('sup-', [status(thm)], [zip_derived_cl60, zip_derived_cl472])).
% 8.53/1.87 thf(zip_derived_cl3208, plain,
% 8.53/1.87 ( (hBOOL @ (hAPP @ (hAPP @ v_P @ v_xb) @ v_s1))),
% 8.53/1.87 inference('clc', [status(thm)], [zip_derived_cl3206, zip_derived_cl475])).
% 8.53/1.87 thf(zip_derived_cl3210, plain, (~ (hBOOL @ (hAPP @ v_G @ v_xa))),
% 8.53/1.87 inference('demod', [status(thm)], [zip_derived_cl194, zip_derived_cl3208])).
% 8.53/1.87 thf(zip_derived_cl3208, plain,
% 8.53/1.87 ( (hBOOL @ (hAPP @ (hAPP @ v_P @ v_xb) @ v_s1))),
% 8.53/1.87 inference('clc', [status(thm)], [zip_derived_cl3206, zip_derived_cl475])).
% 8.53/1.87 thf(cls_conjecture_13, conjecture,
% 8.53/1.87 (~( ( hBOOL @
% 8.53/1.87 ( hAPP @
% 8.53/1.87 ( hAPP @ ( c_in @ ( tc_Hoare__Mirabelle_Otriple @ t_a ) ) @ v_xa ) @
% 8.53/1.87 v_G ) ) |
% 8.53/1.87 ( ~( hBOOL @ ( hAPP @ ( hAPP @ v_P @ V_Z ) @ v_s1 ) ) ) |
% 8.53/1.87 ( ~( hBOOL @ ( hAPP @ v_b @ v_s2 ) ) ) |
% 8.53/1.87 ( ( c_Com_Ocom_OWhile @ v_ba @ v_ca ) !=
% 8.53/1.87 ( c_Com_Ocom_OWhile @ v_b @ v_c ) ) ))).
% 8.53/1.87 thf(zf_stmt_11, negated_conjecture,
% 8.53/1.87 (( hBOOL @
% 8.53/1.87 ( hAPP @
% 8.53/1.87 ( hAPP @ ( c_in @ ( tc_Hoare__Mirabelle_Otriple @ t_a ) ) @ v_xa ) @
% 8.53/1.87 v_G ) ) |
% 8.53/1.87 ( ~( hBOOL @ ( hAPP @ ( hAPP @ v_P @ V_Z ) @ v_s1 ) ) ) |
% 8.53/1.87 ( ~( hBOOL @ ( hAPP @ v_b @ v_s2 ) ) ) |
% 8.53/1.87 ( ( c_Com_Ocom_OWhile @ v_ba @ v_ca ) != ( c_Com_Ocom_OWhile @ v_b @ v_c ) )),
% 8.53/1.87 inference('cnf.neg', [status(esa)], [cls_conjecture_13])).
% 8.53/1.87 thf(zip_derived_cl45, plain,
% 8.53/1.87 (![X0 : $i]:
% 8.53/1.87 ( (hBOOL @
% 8.53/1.87 (hAPP @
% 8.53/1.87 (hAPP @ (c_in @ (tc_Hoare__Mirabelle_Otriple @ t_a)) @ v_xa) @ v_G))
% 8.53/1.87 | ~ (hBOOL @ (hAPP @ (hAPP @ v_P @ X0) @ v_s1))
% 8.53/1.87 | ~ (hBOOL @ (hAPP @ v_b @ v_s2))
% 8.53/1.87 | ((c_Com_Ocom_OWhile @ v_ba @ v_ca)
% 8.53/1.87 != (c_Com_Ocom_OWhile @ v_b @ v_c)))),
% 8.53/1.87 inference('cnf', [status(esa)], [zf_stmt_11])).
% 8.53/1.87 thf(zip_derived_cl55, plain, (((v_ba) = (v_b))),
% 8.53/1.87 inference('cnf', [status(esa)], [zf_stmt_2])).
% 8.53/1.87 thf(zip_derived_cl54, plain, (((v_ca) = (v_c))),
% 8.53/1.87 inference('cnf', [status(esa)], [zf_stmt_3])).
% 8.53/1.87 thf(zip_derived_cl167, plain,
% 8.53/1.87 (![X0 : $i]:
% 8.53/1.87 ( (hBOOL @
% 8.53/1.87 (hAPP @
% 8.53/1.87 (hAPP @ (c_in @ (tc_Hoare__Mirabelle_Otriple @ t_a)) @ v_xa) @ v_G))
% 8.53/1.87 | ~ (hBOOL @ (hAPP @ (hAPP @ v_P @ X0) @ v_s1))
% 8.53/1.87 | ~ (hBOOL @ (hAPP @ v_b @ v_s2))
% 8.53/1.87 | ((c_Com_Ocom_OWhile @ v_b @ v_c) != (c_Com_Ocom_OWhile @ v_b @ v_c)))),
% 8.53/1.87 inference('demod', [status(thm)],
% 8.53/1.87 [zip_derived_cl45, zip_derived_cl55, zip_derived_cl54])).
% 8.53/1.87 thf(zip_derived_cl168, plain,
% 8.53/1.87 (![X0 : $i]:
% 8.53/1.87 (~ (hBOOL @ (hAPP @ v_b @ v_s2))
% 8.53/1.87 | ~ (hBOOL @ (hAPP @ (hAPP @ v_P @ X0) @ v_s1))
% 8.53/1.87 | (hBOOL @
% 8.53/1.87 (hAPP @
% 8.53/1.87 (hAPP @ (c_in @ (tc_Hoare__Mirabelle_Otriple @ t_a)) @ v_xa) @
% 8.53/1.87 v_G)))),
% 8.53/1.87 inference('simplify', [status(thm)], [zip_derived_cl167])).
% 8.53/1.87 thf(zip_derived_cl51, plain,
% 8.53/1.87 ((~ (hBOOL @ (hAPP @ (hAPP @ v_P @ v_xb) @ v_s2))
% 8.53/1.87 | (hBOOL @ (hAPP @ v_b @ v_s2)))),
% 8.53/1.87 inference('cnf', [status(esa)], [zf_stmt_4])).
% 8.53/1.87 thf(zip_derived_cl52, plain,
% 8.53/1.87 (![X0 : $i]:
% 8.53/1.87 (~ (hBOOL @
% 8.53/1.87 (hAPP @
% 8.53/1.87 (hAPP @ (c_in @ (tc_Hoare__Mirabelle_Otriple @ t_a)) @ X0) @ v_G))
% 8.53/1.87 | (c_Hoare__Mirabelle_Otriple__valid @ v_na @ X0 @ t_a))),
% 8.53/1.87 inference('cnf', [status(esa)], [zf_stmt_0])).
% 8.53/1.87 thf(zip_derived_cl3208, plain,
% 8.53/1.87 ( (hBOOL @ (hAPP @ (hAPP @ v_P @ v_xb) @ v_s1))),
% 8.53/1.87 inference('clc', [status(thm)], [zip_derived_cl3206, zip_derived_cl475])).
% 8.53/1.87 thf(cls_conjecture_12, conjecture,
% 8.53/1.87 (~( ( hBOOL @
% 8.53/1.87 ( hAPP @
% 8.53/1.87 ( hAPP @ ( c_in @ ( tc_Hoare__Mirabelle_Otriple @ t_a ) ) @ v_xa ) @
% 8.53/1.87 v_G ) ) |
% 8.53/1.87 ( ~( hBOOL @ ( hAPP @ ( hAPP @ v_P @ V_Z ) @ v_s1 ) ) ) |
% 8.53/1.87 ( hBOOL @ ( hAPP @ ( hAPP @ v_P @ V_Z ) @ v_s2 ) ) |
% 8.53/1.87 ( ( c_Com_Ocom_OWhile @ v_ba @ v_ca ) !=
% 8.53/1.87 ( c_Com_Ocom_OWhile @ v_b @ v_c ) ) ))).
% 8.53/1.87 thf(zf_stmt_12, negated_conjecture,
% 8.53/1.87 (( hBOOL @
% 8.53/1.87 ( hAPP @
% 8.53/1.87 ( hAPP @ ( c_in @ ( tc_Hoare__Mirabelle_Otriple @ t_a ) ) @ v_xa ) @
% 8.53/1.87 v_G ) ) |
% 8.53/1.87 ( ~( hBOOL @ ( hAPP @ ( hAPP @ v_P @ V_Z ) @ v_s1 ) ) ) |
% 8.53/1.87 ( hBOOL @ ( hAPP @ ( hAPP @ v_P @ V_Z ) @ v_s2 ) ) |
% 8.53/1.87 ( ( c_Com_Ocom_OWhile @ v_ba @ v_ca ) != ( c_Com_Ocom_OWhile @ v_b @ v_c ) )),
% 8.53/1.87 inference('cnf.neg', [status(esa)], [cls_conjecture_12])).
% 8.53/1.87 thf(zip_derived_cl46, plain,
% 8.53/1.87 (![X0 : $i]:
% 8.53/1.87 ( (hBOOL @
% 8.53/1.87 (hAPP @
% 8.53/1.87 (hAPP @ (c_in @ (tc_Hoare__Mirabelle_Otriple @ t_a)) @ v_xa) @ v_G))
% 8.53/1.87 | ~ (hBOOL @ (hAPP @ (hAPP @ v_P @ X0) @ v_s1))
% 8.53/1.87 | (hBOOL @ (hAPP @ (hAPP @ v_P @ X0) @ v_s2))
% 8.53/1.87 | ((c_Com_Ocom_OWhile @ v_ba @ v_ca)
% 8.53/1.87 != (c_Com_Ocom_OWhile @ v_b @ v_c)))),
% 8.53/1.87 inference('cnf', [status(esa)], [zf_stmt_12])).
% 8.53/1.87 thf(zip_derived_cl55, plain, (((v_ba) = (v_b))),
% 8.53/1.87 inference('cnf', [status(esa)], [zf_stmt_2])).
% 8.53/1.87 thf(zip_derived_cl54, plain, (((v_ca) = (v_c))),
% 8.53/1.87 inference('cnf', [status(esa)], [zf_stmt_3])).
% 8.53/1.87 thf(zip_derived_cl730, plain,
% 8.53/1.87 (![X0 : $i]:
% 8.53/1.87 ( (hBOOL @
% 8.53/1.87 (hAPP @
% 8.53/1.87 (hAPP @ (c_in @ (tc_Hoare__Mirabelle_Otriple @ t_a)) @ v_xa) @ v_G))
% 8.53/1.87 | ~ (hBOOL @ (hAPP @ (hAPP @ v_P @ X0) @ v_s1))
% 8.53/1.87 | (hBOOL @ (hAPP @ (hAPP @ v_P @ X0) @ v_s2))
% 8.53/1.87 | ((c_Com_Ocom_OWhile @ v_b @ v_c) != (c_Com_Ocom_OWhile @ v_b @ v_c)))),
% 8.53/1.87 inference('demod', [status(thm)],
% 8.53/1.87 [zip_derived_cl46, zip_derived_cl55, zip_derived_cl54])).
% 8.53/1.87 thf(zip_derived_cl731, plain,
% 8.53/1.87 (![X0 : $i]:
% 8.53/1.87 ( (hBOOL @ (hAPP @ (hAPP @ v_P @ X0) @ v_s2))
% 8.53/1.87 | ~ (hBOOL @ (hAPP @ (hAPP @ v_P @ X0) @ v_s1))
% 8.53/1.87 | (hBOOL @
% 8.53/1.87 (hAPP @
% 8.53/1.87 (hAPP @ (c_in @ (tc_Hoare__Mirabelle_Otriple @ t_a)) @ v_xa) @
% 8.53/1.87 v_G)))),
% 8.53/1.87 inference('simplify', [status(thm)], [zip_derived_cl730])).
% 8.53/1.87 thf(zip_derived_cl3221, plain,
% 8.53/1.87 (( (hBOOL @
% 8.53/1.87 (hAPP @
% 8.53/1.87 (hAPP @ (c_in @ (tc_Hoare__Mirabelle_Otriple @ t_a)) @ v_xa) @ v_G))
% 8.53/1.87 | (hBOOL @ (hAPP @ (hAPP @ v_P @ v_xb) @ v_s2)))),
% 8.53/1.87 inference('sup-', [status(thm)], [zip_derived_cl3208, zip_derived_cl731])).
% 8.53/1.87 thf(zip_derived_cl3364, plain,
% 8.53/1.87 (( (c_Hoare__Mirabelle_Otriple__valid @ v_na @ v_xa @ t_a)
% 8.53/1.87 | (hBOOL @ (hAPP @ (hAPP @ v_P @ v_xb) @ v_s2)))),
% 8.53/1.87 inference('sup+', [status(thm)], [zip_derived_cl52, zip_derived_cl3221])).
% 8.53/1.87 thf(zip_derived_cl193, plain,
% 8.53/1.87 ((~ (hBOOL @ (hAPP @ (hAPP @ v_P @ v_xb) @ v_s1))
% 8.53/1.87 | ~ (c_Hoare__Mirabelle_Otriple__valid @ v_na @ v_xa @ t_a))),
% 8.53/1.87 inference('clc', [status(thm)], [zip_derived_cl171, zip_derived_cl91])).
% 8.53/1.87 thf(zip_derived_cl3208, plain,
% 8.53/1.87 ( (hBOOL @ (hAPP @ (hAPP @ v_P @ v_xb) @ v_s1))),
% 8.53/1.87 inference('clc', [status(thm)], [zip_derived_cl3206, zip_derived_cl475])).
% 8.53/1.87 thf(zip_derived_cl3209, plain,
% 8.53/1.87 (~ (c_Hoare__Mirabelle_Otriple__valid @ v_na @ v_xa @ t_a)),
% 8.53/1.87 inference('demod', [status(thm)], [zip_derived_cl193, zip_derived_cl3208])).
% 8.53/1.87 thf(zip_derived_cl3365, plain,
% 8.53/1.87 ( (hBOOL @ (hAPP @ (hAPP @ v_P @ v_xb) @ v_s2))),
% 8.53/1.87 inference('demod', [status(thm)],
% 8.53/1.87 [zip_derived_cl3364, zip_derived_cl3209])).
% 8.53/1.87 thf(zip_derived_cl3368, plain, ( (hBOOL @ (hAPP @ v_b @ v_s2))),
% 8.53/1.87 inference('demod', [status(thm)], [zip_derived_cl51, zip_derived_cl3365])).
% 8.53/1.87 thf(zip_derived_cl3373, plain,
% 8.53/1.87 (![X0 : $i]:
% 8.53/1.87 (~ (hBOOL @ (hAPP @ (hAPP @ v_P @ X0) @ v_s1))
% 8.53/1.87 | (hBOOL @
% 8.53/1.87 (hAPP @
% 8.53/1.87 (hAPP @ (c_in @ (tc_Hoare__Mirabelle_Otriple @ t_a)) @ v_xa) @
% 8.53/1.87 v_G)))),
% 8.53/1.87 inference('demod', [status(thm)], [zip_derived_cl168, zip_derived_cl3368])).
% 8.53/1.87 thf(zip_derived_cl3577, plain,
% 8.53/1.87 ( (hBOOL @
% 8.53/1.87 (hAPP @
% 8.53/1.87 (hAPP @ (c_in @ (tc_Hoare__Mirabelle_Otriple @ t_a)) @ v_xa) @ v_G))),
% 8.53/1.87 inference('sup-', [status(thm)], [zip_derived_cl3208, zip_derived_cl3373])).
% 8.53/1.87 thf(cls_mem__def_0, axiom,
% 8.53/1.87 (( hBOOL @ ( hAPP @ V_S @ V_x ) ) |
% 8.53/1.87 ( ~( hBOOL @ ( hAPP @ ( hAPP @ ( c_in @ T_a ) @ V_x ) @ V_S ) ) ))).
% 8.53/1.87 thf(zip_derived_cl37, plain,
% 8.53/1.87 (![X0 : $i, X1 : $i, X2 : $i]:
% 8.53/1.87 ( (hBOOL @ (hAPP @ X0 @ X1))
% 8.53/1.87 | ~ (hBOOL @ (hAPP @ (hAPP @ (c_in @ X2) @ X1) @ X0)))),
% 8.53/1.87 inference('cnf', [status(esa)], [cls_mem__def_0])).
% 8.53/1.87 thf(zip_derived_cl3580, plain, ( (hBOOL @ (hAPP @ v_G @ v_xa))),
% 8.53/1.87 inference('sup-', [status(thm)], [zip_derived_cl3577, zip_derived_cl37])).
% 8.53/1.87 thf(zip_derived_cl3583, plain, ($false),
% 8.53/1.87 inference('demod', [status(thm)],
% 8.53/1.87 [zip_derived_cl3210, zip_derived_cl3580])).
% 8.53/1.87
% 8.53/1.87 % SZS output end Refutation
% 8.53/1.87
% 8.53/1.87
% 8.53/1.87 % Terminating...
% 8.53/1.90 % Runner terminated.
% 8.53/1.91 % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------