%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : SWV843-1 : TPTP v9.2.0. Released v4.1.0.
% Transfm : none
% Format : tptp:raw
% Command : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.48i7VJY0sA true
% Computer : n004.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 05:02:03 PM UTC 2025
% Result : Unsatisfiable 17.79s 3.13s
% Output : Refutation 17.79s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.10 % Problem : SWV843-1 : TPTP v9.2.0. Released v4.1.0.
% 0.10/0.11 % Command : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.48i7VJY0sA true
% 0.11/0.32 % Computer : n004.cluster.edu
% 0.11/0.32 % Model : x86_64 x86_64
% 0.11/0.32 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.32 % Memory : 8042.1875MB
% 0.11/0.32 % OS : Linux 3.10.0-693.el7.x86_64
% 0.11/0.32 % CPULimit : 300
% 0.11/0.32 % WCLimit : 300
% 0.11/0.32 % DateTime : Wed Oct 1 12:26:53 EDT 2025
% 0.11/0.32 % CPUTime :
% 0.11/0.32 % Running portfolio for 300 s
% 0.11/0.32 % File : /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.11/0.32 % Number of cores: 8
% 0.17/0.32 % Python version: Python 3.6.8
% 0.17/0.33 % Running in FO mode
% 0.51/0.62 % Total configuration time : 435
% 0.51/0.62 % Estimated wc time : 1092
% 0.51/0.62 % Estimated cpu time (7 cpus) : 156.0
% 0.52/0.71 % /export/starexec/sandbox/solver/bin/fo/fo6_bce.sh running for 75s
% 0.52/0.71 % /export/starexec/sandbox/solver/bin/fo/fo7.sh running for 63s
% 0.52/0.71 % /export/starexec/sandbox/solver/bin/fo/fo1_av.sh running for 75s
% 0.52/0.72 % /export/starexec/sandbox/solver/bin/fo/fo3_bce.sh running for 75s
% 0.52/0.72 % /export/starexec/sandbox/solver/bin/fo/fo13.sh running for 50s
% 0.52/0.72 % /export/starexec/sandbox/solver/bin/fo/fo5.sh running for 50s
% 0.52/0.72 % /export/starexec/sandbox/solver/bin/fo/fo4.sh running for 50s
% 17.79/3.13 % Solved by fo/fo4.sh.
% 17.79/3.13 % done 936 iterations in 2.384s
% 17.79/3.13 % SZS status Theorem for '/export/starexec/sandbox/benchmark/theBenchmark.p'
% 17.79/3.13 % SZS output start Refutation
% 17.79/3.13 thf(tc_fun_type, type, tc_fun: $i > $i > $i).
% 17.79/3.13 thf(v_Q_H_type, type, v_Q_H: $i).
% 17.79/3.13 thf(hAPP_type, type, hAPP: $i > $i > $i).
% 17.79/3.13 thf(v_P_type, type, v_P: $i).
% 17.79/3.13 thf(t_b_type, type, t_b: $i).
% 17.79/3.13 thf(v_G_type, type, v_G: $i).
% 17.79/3.13 thf(c_COMBS_type, type, c_COMBS: $i > $i > $i > $i > $i > $i).
% 17.79/3.13 thf(c_Hoare__Mirabelle_Otriple_Otriple_type, type, c_Hoare__Mirabelle_Otriple_Otriple:
% 17.79/3.13 $i > $i).
% 17.79/3.13 thf(t_a_type, type, t_a: $i).
% 17.79/3.13 thf(v_c0_type, type, v_c0: $i).
% 17.79/3.13 thf(c_Orderings_Obot__class_Obot_type, type, c_Orderings_Obot__class_Obot:
% 17.79/3.13 $i > $i).
% 17.79/3.13 thf(tc_Hoare__Mirabelle_Otriple_type, type, tc_Hoare__Mirabelle_Otriple:
% 17.79/3.13 $i > $i).
% 17.79/3.13 thf(v_F_type, type, v_F: $i).
% 17.79/3.13 thf(tc_Com_Ocom_type, type, tc_Com_Ocom: $i).
% 17.79/3.13 thf(c_Set_Oinsert_type, type, c_Set_Oinsert: $i > $i > $i > $i).
% 17.79/3.13 thf(v_x_type, type, v_x: $i).
% 17.79/3.13 thf(tc_bool_type, type, tc_bool: $i).
% 17.79/3.13 thf(c_Hoare__Mirabelle_Ohoare__derivs_type, type, c_Hoare__Mirabelle_Ohoare__derivs:
% 17.79/3.13 $i > $i > $i > $o).
% 17.79/3.13 thf(tc_Com_Ostate_type, type, tc_Com_Ostate: $i).
% 17.79/3.13 thf(c_Set_Oimage_type, type, c_Set_Oimage: $i > $i > $i > $i > $i).
% 17.79/3.13 thf(v_Q_type, type, v_Q: $i).
% 17.79/3.13 thf(c_COMBB_type, type, c_COMBB: $i > $i > $i > $i > $i > $i).
% 17.79/3.13 thf(v_P_H_type, type, v_P_H: $i).
% 17.79/3.13 thf(cls_conjecture_4, conjecture,
% 17.79/3.13 (~( ( ~( c_Hoare__Mirabelle_Ohoare__derivs @
% 17.79/3.13 v_G @
% 17.79/3.13 ( c_Set_Oinsert @
% 17.79/3.13 ( hAPP @
% 17.79/3.13 ( hAPP @
% 17.79/3.13 ( hAPP @
% 17.79/3.13 ( c_Hoare__Mirabelle_Otriple_Otriple @ t_b ) @
% 17.79/3.13 ( hAPP @ v_P_H @ V_p ) ) @
% 17.79/3.13 ( hAPP @ v_c0 @ V_p ) ) @
% 17.79/3.13 ( hAPP @ v_Q_H @ V_p ) ) @
% 17.79/3.13 ( c_Orderings_Obot__class_Obot @
% 17.79/3.13 ( tc_fun @ ( tc_Hoare__Mirabelle_Otriple @ t_b ) @ tc_bool ) ) @
% 17.79/3.13 ( tc_Hoare__Mirabelle_Otriple @ t_b ) ) @
% 17.79/3.13 t_b ) ) |
% 17.79/3.13 ( c_Hoare__Mirabelle_Ohoare__derivs @
% 17.79/3.13 v_G @
% 17.79/3.13 ( c_Set_Oinsert @
% 17.79/3.13 ( hAPP @
% 17.79/3.13 ( hAPP @
% 17.79/3.13 ( hAPP @
% 17.79/3.13 ( c_Hoare__Mirabelle_Otriple_Otriple @ t_b ) @
% 17.79/3.13 ( hAPP @ v_P @ V_p ) ) @
% 17.79/3.13 ( hAPP @ v_c0 @ V_p ) ) @
% 17.79/3.13 ( hAPP @ v_Q @ V_p ) ) @
% 17.79/3.13 ( c_Orderings_Obot__class_Obot @
% 17.79/3.13 ( tc_fun @ ( tc_Hoare__Mirabelle_Otriple @ t_b ) @ tc_bool ) ) @
% 17.79/3.13 ( tc_Hoare__Mirabelle_Otriple @ t_b ) ) @
% 17.79/3.13 t_b ) ))).
% 17.79/3.13 thf(zf_stmt_0, negated_conjecture,
% 17.79/3.13 (( ~( c_Hoare__Mirabelle_Ohoare__derivs @
% 17.79/3.13 v_G @
% 17.79/3.13 ( c_Set_Oinsert @
% 17.79/3.13 ( hAPP @
% 17.79/3.13 ( hAPP @
% 17.79/3.13 ( hAPP @
% 17.79/3.13 ( c_Hoare__Mirabelle_Otriple_Otriple @ t_b ) @
% 17.79/3.13 ( hAPP @ v_P_H @ V_p ) ) @
% 17.79/3.13 ( hAPP @ v_c0 @ V_p ) ) @
% 17.79/3.13 ( hAPP @ v_Q_H @ V_p ) ) @
% 17.79/3.13 ( c_Orderings_Obot__class_Obot @
% 17.79/3.13 ( tc_fun @ ( tc_Hoare__Mirabelle_Otriple @ t_b ) @ tc_bool ) ) @
% 17.79/3.13 ( tc_Hoare__Mirabelle_Otriple @ t_b ) ) @
% 17.79/3.13 t_b ) ) |
% 17.79/3.13 ( c_Hoare__Mirabelle_Ohoare__derivs @
% 17.79/3.13 v_G @
% 17.79/3.13 ( c_Set_Oinsert @
% 17.79/3.13 ( hAPP @
% 17.79/3.13 ( hAPP @
% 17.79/3.13 ( hAPP @
% 17.79/3.13 ( c_Hoare__Mirabelle_Otriple_Otriple @ t_b ) @
% 17.79/3.13 ( hAPP @ v_P @ V_p ) ) @
% 17.79/3.13 ( hAPP @ v_c0 @ V_p ) ) @
% 17.79/3.13 ( hAPP @ v_Q @ V_p ) ) @
% 17.79/3.13 ( c_Orderings_Obot__class_Obot @
% 17.79/3.13 ( tc_fun @ ( tc_Hoare__Mirabelle_Otriple @ t_b ) @ tc_bool ) ) @
% 17.79/3.13 ( tc_Hoare__Mirabelle_Otriple @ t_b ) ) @
% 17.79/3.13 t_b )),
% 17.79/3.13 inference('cnf.neg', [status(esa)], [cls_conjecture_4])).
% 17.79/3.13 thf(zip_derived_cl193, plain,
% 17.79/3.13 (![X0 : $i]:
% 17.79/3.13 (~ (c_Hoare__Mirabelle_Ohoare__derivs @ v_G @
% 17.79/3.13 (c_Set_Oinsert @
% 17.79/3.13 (hAPP @
% 17.79/3.13 (hAPP @
% 17.79/3.13 (hAPP @ (c_Hoare__Mirabelle_Otriple_Otriple @ t_b) @
% 17.79/3.13 (hAPP @ v_P_H @ X0)) @
% 17.79/3.13 (hAPP @ v_c0 @ X0)) @
% 17.79/3.13 (hAPP @ v_Q_H @ X0)) @
% 17.79/3.13 (c_Orderings_Obot__class_Obot @
% 17.79/3.13 (tc_fun @ (tc_Hoare__Mirabelle_Otriple @ t_b) @ tc_bool)) @
% 17.79/3.13 (tc_Hoare__Mirabelle_Otriple @ t_b)) @
% 17.79/3.13 t_b)
% 17.79/3.13 | (c_Hoare__Mirabelle_Ohoare__derivs @ v_G @
% 17.79/3.13 (c_Set_Oinsert @
% 17.79/3.13 (hAPP @
% 17.79/3.13 (hAPP @
% 17.79/3.13 (hAPP @ (c_Hoare__Mirabelle_Otriple_Otriple @ t_b) @
% 17.79/3.13 (hAPP @ v_P @ X0)) @
% 17.79/3.13 (hAPP @ v_c0 @ X0)) @
% 17.79/3.13 (hAPP @ v_Q @ X0)) @
% 17.79/3.13 (c_Orderings_Obot__class_Obot @
% 17.79/3.13 (tc_fun @ (tc_Hoare__Mirabelle_Otriple @ t_b) @ tc_bool)) @
% 17.79/3.13 (tc_Hoare__Mirabelle_Otriple @ t_b)) @
% 17.79/3.13 t_b))),
% 17.79/3.13 inference('cnf', [status(esa)], [zf_stmt_0])).
% 17.79/3.13 thf(cls_hoare__derivs_Oinsert_0, axiom,
% 17.79/3.13 (( c_Hoare__Mirabelle_Ohoare__derivs @
% 17.79/3.13 V_G @
% 17.79/3.13 ( c_Set_Oinsert @ V_t @ V_ts @ ( tc_Hoare__Mirabelle_Otriple @ T_a ) ) @
% 17.79/3.13 T_a ) |
% 17.79/3.13 ( ~( c_Hoare__Mirabelle_Ohoare__derivs @ V_G @ V_ts @ T_a ) ) |
% 17.79/3.13 ( ~( c_Hoare__Mirabelle_Ohoare__derivs @
% 17.79/3.13 V_G @
% 17.79/3.13 ( c_Set_Oinsert @
% 17.79/3.13 V_t @
% 17.79/3.13 ( c_Orderings_Obot__class_Obot @
% 17.79/3.13 ( tc_fun @ ( tc_Hoare__Mirabelle_Otriple @ T_a ) @ tc_bool ) ) @
% 17.79/3.13 ( tc_Hoare__Mirabelle_Otriple @ T_a ) ) @
% 17.79/3.13 T_a ) ))).
% 17.79/3.13 thf(zip_derived_cl131, plain,
% 17.79/3.13 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 17.79/3.13 ( (c_Hoare__Mirabelle_Ohoare__derivs @ X0 @
% 17.79/3.13 (c_Set_Oinsert @ X1 @ X2 @ (tc_Hoare__Mirabelle_Otriple @ X3)) @ X3)
% 17.79/3.13 | ~ (c_Hoare__Mirabelle_Ohoare__derivs @ X0 @ X2 @ X3)
% 17.79/3.13 | ~ (c_Hoare__Mirabelle_Ohoare__derivs @ X0 @
% 17.79/3.13 (c_Set_Oinsert @ X1 @
% 17.79/3.13 (c_Orderings_Obot__class_Obot @
% 17.79/3.13 (tc_fun @ (tc_Hoare__Mirabelle_Otriple @ X3) @ tc_bool)) @
% 17.79/3.13 (tc_Hoare__Mirabelle_Otriple @ X3)) @
% 17.79/3.13 X3))),
% 17.79/3.13 inference('cnf', [status(esa)], [cls_hoare__derivs_Oinsert_0])).
% 17.79/3.13 thf(cls_conjecture_3, conjecture,
% 17.79/3.13 (c_Hoare__Mirabelle_Ohoare__derivs @
% 17.79/3.13 v_G @
% 17.79/3.13 ( c_Set_Oinsert @
% 17.79/3.13 ( hAPP @
% 17.79/3.13 ( hAPP @
% 17.79/3.13 ( hAPP @
% 17.79/3.13 ( c_Hoare__Mirabelle_Otriple_Otriple @ t_b ) @
% 17.79/3.13 ( hAPP @ v_P @ v_x ) ) @
% 17.79/3.13 ( hAPP @ v_c0 @ v_x ) ) @
% 17.79/3.13 ( hAPP @ v_Q @ v_x ) ) @
% 17.79/3.13 ( c_Set_Oimage @
% 17.79/3.13 ( c_COMBS @
% 17.79/3.13 ( c_COMBS @
% 17.79/3.13 ( c_COMBB @
% 17.79/3.13 ( c_Hoare__Mirabelle_Otriple_Otriple @ t_b ) @ v_P @
% 17.79/3.13 ( tc_fun @ t_b @ ( tc_fun @ tc_Com_Ostate @ tc_bool ) ) @
% 17.79/3.13 ( tc_fun @
% 17.79/3.13 tc_Com_Ocom @
% 17.79/3.13 ( tc_fun @
% 17.79/3.13 ( tc_fun @ t_b @ ( tc_fun @ tc_Com_Ostate @ tc_bool ) ) @
% 17.79/3.13 ( tc_Hoare__Mirabelle_Otriple @ t_b ) ) ) @
% 17.79/3.13 t_a ) @
% 17.79/3.13 v_c0 @ t_a @ tc_Com_Ocom @
% 17.79/3.13 ( tc_fun @
% 17.79/3.13 ( tc_fun @ t_b @ ( tc_fun @ tc_Com_Ostate @ tc_bool ) ) @
% 17.79/3.13 ( tc_Hoare__Mirabelle_Otriple @ t_b ) ) ) @
% 17.79/3.13 v_Q @ t_a @
% 17.79/3.13 ( tc_fun @ t_b @ ( tc_fun @ tc_Com_Ostate @ tc_bool ) ) @
% 17.79/3.13 ( tc_Hoare__Mirabelle_Otriple @ t_b ) ) @
% 17.79/3.13 v_F @ t_a @ ( tc_Hoare__Mirabelle_Otriple @ t_b ) ) @
% 17.79/3.13 ( tc_Hoare__Mirabelle_Otriple @ t_b ) ) @
% 17.79/3.13 t_b)).
% 17.79/3.13 thf(zf_stmt_1, negated_conjecture,
% 17.79/3.13 (~( c_Hoare__Mirabelle_Ohoare__derivs @
% 17.79/3.13 v_G @
% 17.79/3.13 ( c_Set_Oinsert @
% 17.79/3.13 ( hAPP @
% 17.79/3.13 ( hAPP @
% 17.79/3.13 ( hAPP @
% 17.79/3.13 ( c_Hoare__Mirabelle_Otriple_Otriple @ t_b ) @
% 17.79/3.13 ( hAPP @ v_P @ v_x ) ) @
% 17.79/3.13 ( hAPP @ v_c0 @ v_x ) ) @
% 17.79/3.13 ( hAPP @ v_Q @ v_x ) ) @
% 17.79/3.13 ( c_Set_Oimage @
% 17.79/3.13 ( c_COMBS @
% 17.79/3.13 ( c_COMBS @
% 17.79/3.13 ( c_COMBB @
% 17.79/3.13 ( c_Hoare__Mirabelle_Otriple_Otriple @ t_b ) @ v_P @
% 17.79/3.13 ( tc_fun @ t_b @ ( tc_fun @ tc_Com_Ostate @ tc_bool ) ) @
% 17.79/3.13 ( tc_fun @
% 17.79/3.13 tc_Com_Ocom @
% 17.79/3.13 ( tc_fun @
% 17.79/3.13 ( tc_fun @ t_b @ ( tc_fun @ tc_Com_Ostate @ tc_bool ) ) @
% 17.79/3.13 ( tc_Hoare__Mirabelle_Otriple @ t_b ) ) ) @
% 17.79/3.13 t_a ) @
% 17.79/3.13 v_c0 @ t_a @ tc_Com_Ocom @
% 17.79/3.13 ( tc_fun @
% 17.79/3.13 ( tc_fun @ t_b @ ( tc_fun @ tc_Com_Ostate @ tc_bool ) ) @
% 17.79/3.13 ( tc_Hoare__Mirabelle_Otriple @ t_b ) ) ) @
% 17.79/3.13 v_Q @ t_a @
% 17.79/3.13 ( tc_fun @ t_b @ ( tc_fun @ tc_Com_Ostate @ tc_bool ) ) @
% 17.79/3.13 ( tc_Hoare__Mirabelle_Otriple @ t_b ) ) @
% 17.79/3.13 v_F @ t_a @ ( tc_Hoare__Mirabelle_Otriple @ t_b ) ) @
% 17.79/3.13 ( tc_Hoare__Mirabelle_Otriple @ t_b ) ) @
% 17.79/3.13 t_b )),
% 17.79/3.13 inference('cnf.neg', [status(esa)], [cls_conjecture_3])).
% 17.79/3.13 thf(zip_derived_cl194, plain,
% 17.79/3.13 (~ (c_Hoare__Mirabelle_Ohoare__derivs @ v_G @
% 17.79/3.13 (c_Set_Oinsert @
% 17.79/3.13 (hAPP @
% 17.79/3.13 (hAPP @
% 17.79/3.13 (hAPP @ (c_Hoare__Mirabelle_Otriple_Otriple @ t_b) @
% 17.79/3.13 (hAPP @ v_P @ v_x)) @
% 17.79/3.13 (hAPP @ v_c0 @ v_x)) @
% 17.79/3.13 (hAPP @ v_Q @ v_x)) @
% 17.79/3.13 (c_Set_Oimage @
% 17.79/3.13 (c_COMBS @
% 17.79/3.13 (c_COMBS @
% 17.79/3.13 (c_COMBB @ (c_Hoare__Mirabelle_Otriple_Otriple @ t_b) @ v_P @
% 17.79/3.13 (tc_fun @ t_b @ (tc_fun @ tc_Com_Ostate @ tc_bool)) @
% 17.79/3.13 (tc_fun @ tc_Com_Ocom @
% 17.79/3.13 (tc_fun @
% 17.79/3.13 (tc_fun @ t_b @ (tc_fun @ tc_Com_Ostate @ tc_bool)) @
% 17.79/3.13 (tc_Hoare__Mirabelle_Otriple @ t_b))) @
% 17.79/3.13 t_a) @
% 17.79/3.13 v_c0 @ t_a @ tc_Com_Ocom @
% 17.79/3.13 (tc_fun @ (tc_fun @ t_b @ (tc_fun @ tc_Com_Ostate @ tc_bool)) @
% 17.79/3.13 (tc_Hoare__Mirabelle_Otriple @ t_b))) @
% 17.79/3.13 v_Q @ t_a @ (tc_fun @ t_b @ (tc_fun @ tc_Com_Ostate @ tc_bool)) @
% 17.79/3.13 (tc_Hoare__Mirabelle_Otriple @ t_b)) @
% 17.79/3.13 v_F @ t_a @ (tc_Hoare__Mirabelle_Otriple @ t_b)) @
% 17.79/3.13 (tc_Hoare__Mirabelle_Otriple @ t_b)) @
% 17.79/3.13 t_b)),
% 17.79/3.13 inference('cnf', [status(esa)], [zf_stmt_1])).
% 17.79/3.13 thf(zip_derived_cl1316, plain,
% 17.79/3.13 ((~ (c_Hoare__Mirabelle_Ohoare__derivs @ v_G @
% 17.79/3.13 (c_Set_Oinsert @
% 17.79/3.13 (hAPP @
% 17.79/3.13 (hAPP @
% 17.79/3.13 (hAPP @ (c_Hoare__Mirabelle_Otriple_Otriple @ t_b) @
% 17.79/3.13 (hAPP @ v_P @ v_x)) @
% 17.79/3.13 (hAPP @ v_c0 @ v_x)) @
% 17.79/3.13 (hAPP @ v_Q @ v_x)) @
% 17.79/3.13 (c_Orderings_Obot__class_Obot @
% 17.79/3.13 (tc_fun @ (tc_Hoare__Mirabelle_Otriple @ t_b) @ tc_bool)) @
% 17.79/3.13 (tc_Hoare__Mirabelle_Otriple @ t_b)) @
% 17.79/3.13 t_b)
% 17.79/3.13 | ~ (c_Hoare__Mirabelle_Ohoare__derivs @ v_G @
% 17.79/3.13 (c_Set_Oimage @
% 17.79/3.13 (c_COMBS @
% 17.79/3.13 (c_COMBS @
% 17.79/3.13 (c_COMBB @ (c_Hoare__Mirabelle_Otriple_Otriple @ t_b) @ v_P @
% 17.79/3.13 (tc_fun @ t_b @ (tc_fun @ tc_Com_Ostate @ tc_bool)) @
% 17.79/3.13 (tc_fun @ tc_Com_Ocom @
% 17.79/3.13 (tc_fun @
% 17.79/3.13 (tc_fun @ t_b @ (tc_fun @ tc_Com_Ostate @ tc_bool)) @
% 17.79/3.13 (tc_Hoare__Mirabelle_Otriple @ t_b))) @
% 17.79/3.13 t_a) @
% 17.79/3.13 v_c0 @ t_a @ tc_Com_Ocom @
% 17.79/3.13 (tc_fun @
% 17.79/3.13 (tc_fun @ t_b @ (tc_fun @ tc_Com_Ostate @ tc_bool)) @
% 17.79/3.13 (tc_Hoare__Mirabelle_Otriple @ t_b))) @
% 17.79/3.13 v_Q @ t_a @
% 17.79/3.13 (tc_fun @ t_b @ (tc_fun @ tc_Com_Ostate @ tc_bool)) @
% 17.79/3.13 (tc_Hoare__Mirabelle_Otriple @ t_b)) @
% 17.79/3.13 v_F @ t_a @ (tc_Hoare__Mirabelle_Otriple @ t_b)) @
% 17.79/3.13 t_b))),
% 17.79/3.13 inference('sup-', [status(thm)], [zip_derived_cl131, zip_derived_cl194])).
% 17.79/3.13 thf(cls_conjecture_5, conjecture,
% 17.79/3.13 (~( ( ~( c_Hoare__Mirabelle_Ohoare__derivs @
% 17.79/3.13 v_G @
% 17.79/3.13 ( c_Set_Oimage @
% 17.79/3.13 ( c_COMBS @
% 17.79/3.13 ( c_COMBS @
% 17.79/3.13 ( c_COMBB @
% 17.79/3.13 ( c_Hoare__Mirabelle_Otriple_Otriple @ t_b ) @ v_P_H @
% 17.79/3.13 ( tc_fun @ t_b @ ( tc_fun @ tc_Com_Ostate @ tc_bool ) ) @
% 17.79/3.13 ( tc_fun @
% 17.79/3.13 tc_Com_Ocom @
% 17.79/3.13 ( tc_fun @
% 17.79/3.13 ( tc_fun @ t_b @ ( tc_fun @ tc_Com_Ostate @ tc_bool ) ) @
% 17.79/3.13 ( tc_Hoare__Mirabelle_Otriple @ t_b ) ) ) @
% 17.79/3.13 t_a ) @
% 17.79/3.13 v_c0 @ t_a @ tc_Com_Ocom @
% 17.79/3.13 ( tc_fun @
% 17.79/3.13 ( tc_fun @ t_b @ ( tc_fun @ tc_Com_Ostate @ tc_bool ) ) @
% 17.79/3.13 ( tc_Hoare__Mirabelle_Otriple @ t_b ) ) ) @
% 17.79/3.13 v_Q_H @ t_a @
% 17.79/3.13 ( tc_fun @ t_b @ ( tc_fun @ tc_Com_Ostate @ tc_bool ) ) @
% 17.79/3.13 ( tc_Hoare__Mirabelle_Otriple @ t_b ) ) @
% 17.79/3.13 v_F @ t_a @ ( tc_Hoare__Mirabelle_Otriple @ t_b ) ) @
% 17.79/3.13 t_b ) ) |
% 17.79/3.13 ( c_Hoare__Mirabelle_Ohoare__derivs @
% 17.79/3.13 v_G @
% 17.79/3.13 ( c_Set_Oimage @
% 17.79/3.13 ( c_COMBS @
% 17.79/3.13 ( c_COMBS @
% 17.79/3.13 ( c_COMBB @
% 17.79/3.13 ( c_Hoare__Mirabelle_Otriple_Otriple @ t_b ) @ v_P @
% 17.79/3.13 ( tc_fun @ t_b @ ( tc_fun @ tc_Com_Ostate @ tc_bool ) ) @
% 17.79/3.13 ( tc_fun @
% 17.79/3.13 tc_Com_Ocom @
% 17.79/3.13 ( tc_fun @
% 17.79/3.13 ( tc_fun @ t_b @ ( tc_fun @ tc_Com_Ostate @ tc_bool ) ) @
% 17.79/3.13 ( tc_Hoare__Mirabelle_Otriple @ t_b ) ) ) @
% 17.79/3.13 t_a ) @
% 17.79/3.13 v_c0 @ t_a @ tc_Com_Ocom @
% 17.79/3.13 ( tc_fun @
% 17.79/3.13 ( tc_fun @ t_b @ ( tc_fun @ tc_Com_Ostate @ tc_bool ) ) @
% 17.79/3.13 ( tc_Hoare__Mirabelle_Otriple @ t_b ) ) ) @
% 17.79/3.13 v_Q @ t_a @
% 17.79/3.13 ( tc_fun @ t_b @ ( tc_fun @ tc_Com_Ostate @ tc_bool ) ) @
% 17.79/3.13 ( tc_Hoare__Mirabelle_Otriple @ t_b ) ) @
% 17.79/3.13 v_F @ t_a @ ( tc_Hoare__Mirabelle_Otriple @ t_b ) ) @
% 17.79/3.13 t_b ) ))).
% 17.79/3.13 thf(zf_stmt_2, negated_conjecture,
% 17.79/3.13 (( ~( c_Hoare__Mirabelle_Ohoare__derivs @
% 17.79/3.13 v_G @
% 17.79/3.13 ( c_Set_Oimage @
% 17.79/3.13 ( c_COMBS @
% 17.79/3.13 ( c_COMBS @
% 17.79/3.13 ( c_COMBB @
% 17.79/3.13 ( c_Hoare__Mirabelle_Otriple_Otriple @ t_b ) @ v_P_H @
% 17.79/3.13 ( tc_fun @ t_b @ ( tc_fun @ tc_Com_Ostate @ tc_bool ) ) @
% 17.79/3.13 ( tc_fun @
% 17.79/3.13 tc_Com_Ocom @
% 17.79/3.13 ( tc_fun @
% 17.79/3.13 ( tc_fun @ t_b @ ( tc_fun @ tc_Com_Ostate @ tc_bool ) ) @
% 17.79/3.13 ( tc_Hoare__Mirabelle_Otriple @ t_b ) ) ) @
% 17.79/3.13 t_a ) @
% 17.79/3.13 v_c0 @ t_a @ tc_Com_Ocom @
% 17.79/3.13 ( tc_fun @
% 17.79/3.13 ( tc_fun @ t_b @ ( tc_fun @ tc_Com_Ostate @ tc_bool ) ) @
% 17.79/3.13 ( tc_Hoare__Mirabelle_Otriple @ t_b ) ) ) @
% 17.79/3.13 v_Q_H @ t_a @
% 17.79/3.13 ( tc_fun @ t_b @ ( tc_fun @ tc_Com_Ostate @ tc_bool ) ) @
% 17.79/3.13 ( tc_Hoare__Mirabelle_Otriple @ t_b ) ) @
% 17.79/3.13 v_F @ t_a @ ( tc_Hoare__Mirabelle_Otriple @ t_b ) ) @
% 17.79/3.13 t_b ) ) |
% 17.79/3.13 ( c_Hoare__Mirabelle_Ohoare__derivs @
% 17.79/3.13 v_G @
% 17.79/3.13 ( c_Set_Oimage @
% 17.79/3.13 ( c_COMBS @
% 17.79/3.13 ( c_COMBS @
% 17.79/3.13 ( c_COMBB @
% 17.79/3.13 ( c_Hoare__Mirabelle_Otriple_Otriple @ t_b ) @ v_P @
% 17.79/3.13 ( tc_fun @ t_b @ ( tc_fun @ tc_Com_Ostate @ tc_bool ) ) @
% 17.79/3.13 ( tc_fun @
% 17.79/3.13 tc_Com_Ocom @
% 17.79/3.13 ( tc_fun @
% 17.79/3.13 ( tc_fun @ t_b @ ( tc_fun @ tc_Com_Ostate @ tc_bool ) ) @
% 17.79/3.13 ( tc_Hoare__Mirabelle_Otriple @ t_b ) ) ) @
% 17.79/3.13 t_a ) @
% 17.79/3.13 v_c0 @ t_a @ tc_Com_Ocom @
% 17.79/3.13 ( tc_fun @
% 17.79/3.13 ( tc_fun @ t_b @ ( tc_fun @ tc_Com_Ostate @ tc_bool ) ) @
% 17.79/3.13 ( tc_Hoare__Mirabelle_Otriple @ t_b ) ) ) @
% 17.79/3.13 v_Q @ t_a @
% 17.79/3.13 ( tc_fun @ t_b @ ( tc_fun @ tc_Com_Ostate @ tc_bool ) ) @
% 17.79/3.13 ( tc_Hoare__Mirabelle_Otriple @ t_b ) ) @
% 17.79/3.13 v_F @ t_a @ ( tc_Hoare__Mirabelle_Otriple @ t_b ) ) @
% 17.79/3.13 t_b )),
% 17.79/3.13 inference('cnf.neg', [status(esa)], [cls_conjecture_5])).
% 17.79/3.13 thf(zip_derived_cl192, plain,
% 17.79/3.13 ((~ (c_Hoare__Mirabelle_Ohoare__derivs @ v_G @
% 17.79/3.13 (c_Set_Oimage @
% 17.79/3.13 (c_COMBS @
% 17.79/3.13 (c_COMBS @
% 17.79/3.13 (c_COMBB @ (c_Hoare__Mirabelle_Otriple_Otriple @ t_b) @ v_P_H @
% 17.79/3.13 (tc_fun @ t_b @ (tc_fun @ tc_Com_Ostate @ tc_bool)) @
% 17.79/3.13 (tc_fun @ tc_Com_Ocom @
% 17.79/3.13 (tc_fun @
% 17.79/3.13 (tc_fun @ t_b @ (tc_fun @ tc_Com_Ostate @ tc_bool)) @
% 17.79/3.13 (tc_Hoare__Mirabelle_Otriple @ t_b))) @
% 17.79/3.13 t_a) @
% 17.79/3.13 v_c0 @ t_a @ tc_Com_Ocom @
% 17.79/3.13 (tc_fun @ (tc_fun @ t_b @ (tc_fun @ tc_Com_Ostate @ tc_bool)) @
% 17.79/3.13 (tc_Hoare__Mirabelle_Otriple @ t_b))) @
% 17.79/3.13 v_Q_H @ t_a @
% 17.79/3.13 (tc_fun @ t_b @ (tc_fun @ tc_Com_Ostate @ tc_bool)) @
% 17.79/3.13 (tc_Hoare__Mirabelle_Otriple @ t_b)) @
% 17.79/3.13 v_F @ t_a @ (tc_Hoare__Mirabelle_Otriple @ t_b)) @
% 17.79/3.13 t_b)
% 17.79/3.13 | (c_Hoare__Mirabelle_Ohoare__derivs @ v_G @
% 17.79/3.13 (c_Set_Oimage @
% 17.79/3.13 (c_COMBS @
% 17.79/3.13 (c_COMBS @
% 17.79/3.13 (c_COMBB @ (c_Hoare__Mirabelle_Otriple_Otriple @ t_b) @ v_P @
% 17.79/3.13 (tc_fun @ t_b @ (tc_fun @ tc_Com_Ostate @ tc_bool)) @
% 17.79/3.13 (tc_fun @ tc_Com_Ocom @
% 17.79/3.13 (tc_fun @
% 17.79/3.13 (tc_fun @ t_b @ (tc_fun @ tc_Com_Ostate @ tc_bool)) @
% 17.79/3.13 (tc_Hoare__Mirabelle_Otriple @ t_b))) @
% 17.79/3.13 t_a) @
% 17.79/3.13 v_c0 @ t_a @ tc_Com_Ocom @
% 17.79/3.13 (tc_fun @ (tc_fun @ t_b @ (tc_fun @ tc_Com_Ostate @ tc_bool)) @
% 17.79/3.13 (tc_Hoare__Mirabelle_Otriple @ t_b))) @
% 17.79/3.13 v_Q @ t_a @
% 17.79/3.13 (tc_fun @ t_b @ (tc_fun @ tc_Com_Ostate @ tc_bool)) @
% 17.79/3.13 (tc_Hoare__Mirabelle_Otriple @ t_b)) @
% 17.79/3.13 v_F @ t_a @ (tc_Hoare__Mirabelle_Otriple @ t_b)) @
% 17.79/3.13 t_b))),
% 17.79/3.13 inference('cnf', [status(esa)], [zf_stmt_2])).
% 17.79/3.13 thf(cls_conjecture_2, conjecture,
% 17.79/3.13 (~( c_Hoare__Mirabelle_Ohoare__derivs @
% 17.79/3.13 v_G @
% 17.79/3.13 ( c_Set_Oinsert @
% 17.79/3.13 ( hAPP @
% 17.79/3.13 ( hAPP @
% 17.79/3.13 ( hAPP @
% 17.79/3.13 ( c_Hoare__Mirabelle_Otriple_Otriple @ t_b ) @
% 17.79/3.13 ( hAPP @ v_P_H @ v_x ) ) @
% 17.79/3.13 ( hAPP @ v_c0 @ v_x ) ) @
% 17.79/3.13 ( hAPP @ v_Q_H @ v_x ) ) @
% 17.79/3.13 ( c_Set_Oimage @
% 17.79/3.13 ( c_COMBS @
% 17.79/3.13 ( c_COMBS @
% 17.79/3.13 ( c_COMBB @
% 17.79/3.13 ( c_Hoare__Mirabelle_Otriple_Otriple @ t_b ) @ v_P_H @
% 17.79/3.13 ( tc_fun @ t_b @ ( tc_fun @ tc_Com_Ostate @ tc_bool ) ) @
% 17.79/3.13 ( tc_fun @
% 17.79/3.13 tc_Com_Ocom @
% 17.79/3.13 ( tc_fun @
% 17.79/3.13 ( tc_fun @ t_b @ ( tc_fun @ tc_Com_Ostate @ tc_bool ) ) @
% 17.79/3.13 ( tc_Hoare__Mirabelle_Otriple @ t_b ) ) ) @
% 17.79/3.13 t_a ) @
% 17.79/3.13 v_c0 @ t_a @ tc_Com_Ocom @
% 17.79/3.13 ( tc_fun @
% 17.79/3.13 ( tc_fun @ t_b @ ( tc_fun @ tc_Com_Ostate @ tc_bool ) ) @
% 17.79/3.13 ( tc_Hoare__Mirabelle_Otriple @ t_b ) ) ) @
% 17.79/3.13 v_Q_H @ t_a @
% 17.79/3.13 ( tc_fun @ t_b @ ( tc_fun @ tc_Com_Ostate @ tc_bool ) ) @
% 17.79/3.13 ( tc_Hoare__Mirabelle_Otriple @ t_b ) ) @
% 17.79/3.13 v_F @ t_a @ ( tc_Hoare__Mirabelle_Otriple @ t_b ) ) @
% 17.79/3.13 ( tc_Hoare__Mirabelle_Otriple @ t_b ) ) @
% 17.79/3.13 t_b ))).
% 17.79/3.13 thf(zf_stmt_3, negated_conjecture,
% 17.79/3.13 (c_Hoare__Mirabelle_Ohoare__derivs @
% 17.79/3.13 v_G @
% 17.79/3.13 ( c_Set_Oinsert @
% 17.79/3.13 ( hAPP @
% 17.79/3.13 ( hAPP @
% 17.79/3.13 ( hAPP @
% 17.79/3.13 ( c_Hoare__Mirabelle_Otriple_Otriple @ t_b ) @
% 17.79/3.13 ( hAPP @ v_P_H @ v_x ) ) @
% 17.79/3.13 ( hAPP @ v_c0 @ v_x ) ) @
% 17.79/3.13 ( hAPP @ v_Q_H @ v_x ) ) @
% 17.79/3.13 ( c_Set_Oimage @
% 17.79/3.13 ( c_COMBS @
% 17.79/3.13 ( c_COMBS @
% 17.79/3.13 ( c_COMBB @
% 17.79/3.13 ( c_Hoare__Mirabelle_Otriple_Otriple @ t_b ) @ v_P_H @
% 17.79/3.13 ( tc_fun @ t_b @ ( tc_fun @ tc_Com_Ostate @ tc_bool ) ) @
% 17.79/3.13 ( tc_fun @
% 17.79/3.13 tc_Com_Ocom @
% 17.79/3.13 ( tc_fun @
% 17.79/3.13 ( tc_fun @ t_b @ ( tc_fun @ tc_Com_Ostate @ tc_bool ) ) @
% 17.79/3.13 ( tc_Hoare__Mirabelle_Otriple @ t_b ) ) ) @
% 17.79/3.13 t_a ) @
% 17.79/3.13 v_c0 @ t_a @ tc_Com_Ocom @
% 17.79/3.13 ( tc_fun @
% 17.79/3.13 ( tc_fun @ t_b @ ( tc_fun @ tc_Com_Ostate @ tc_bool ) ) @
% 17.79/3.13 ( tc_Hoare__Mirabelle_Otriple @ t_b ) ) ) @
% 17.79/3.13 v_Q_H @ t_a @
% 17.79/3.13 ( tc_fun @ t_b @ ( tc_fun @ tc_Com_Ostate @ tc_bool ) ) @
% 17.79/3.13 ( tc_Hoare__Mirabelle_Otriple @ t_b ) ) @
% 17.79/3.13 v_F @ t_a @ ( tc_Hoare__Mirabelle_Otriple @ t_b ) ) @
% 17.79/3.13 ( tc_Hoare__Mirabelle_Otriple @ t_b ) ) @
% 17.79/3.13 t_b),
% 17.79/3.13 inference('cnf.neg', [status(esa)], [cls_conjecture_2])).
% 17.79/3.13 thf(zip_derived_cl195, plain,
% 17.79/3.13 ( (c_Hoare__Mirabelle_Ohoare__derivs @ v_G @
% 17.79/3.13 (c_Set_Oinsert @
% 17.79/3.13 (hAPP @
% 17.79/3.13 (hAPP @
% 17.79/3.13 (hAPP @ (c_Hoare__Mirabelle_Otriple_Otriple @ t_b) @
% 17.79/3.13 (hAPP @ v_P_H @ v_x)) @
% 17.79/3.13 (hAPP @ v_c0 @ v_x)) @
% 17.79/3.13 (hAPP @ v_Q_H @ v_x)) @
% 17.79/3.13 (c_Set_Oimage @
% 17.79/3.13 (c_COMBS @
% 17.79/3.13 (c_COMBS @
% 17.79/3.13 (c_COMBB @ (c_Hoare__Mirabelle_Otriple_Otriple @ t_b) @ v_P_H @
% 17.79/3.13 (tc_fun @ t_b @ (tc_fun @ tc_Com_Ostate @ tc_bool)) @
% 17.79/3.13 (tc_fun @ tc_Com_Ocom @
% 17.79/3.13 (tc_fun @ (tc_fun @ t_b @ (tc_fun @ tc_Com_Ostate @ tc_bool)) @
% 17.79/3.13 (tc_Hoare__Mirabelle_Otriple @ t_b))) @
% 17.79/3.13 t_a) @
% 17.79/3.13 v_c0 @ t_a @ tc_Com_Ocom @
% 17.79/3.13 (tc_fun @ (tc_fun @ t_b @ (tc_fun @ tc_Com_Ostate @ tc_bool)) @
% 17.79/3.13 (tc_Hoare__Mirabelle_Otriple @ t_b))) @
% 17.79/3.13 v_Q_H @ t_a @
% 17.79/3.13 (tc_fun @ t_b @ (tc_fun @ tc_Com_Ostate @ tc_bool)) @
% 17.79/3.13 (tc_Hoare__Mirabelle_Otriple @ t_b)) @
% 17.79/3.13 v_F @ t_a @ (tc_Hoare__Mirabelle_Otriple @ t_b)) @
% 17.79/3.13 (tc_Hoare__Mirabelle_Otriple @ t_b)) @
% 17.79/3.13 t_b)),
% 17.79/3.13 inference('cnf', [status(esa)], [zf_stmt_3])).
% 17.79/3.13 thf(cls_derivs__insertD_1, axiom,
% 17.79/3.13 (( c_Hoare__Mirabelle_Ohoare__derivs @ V_G @ V_ts @ T_a ) |
% 17.79/3.13 ( ~( c_Hoare__Mirabelle_Ohoare__derivs @
% 17.79/3.13 V_G @
% 17.79/3.13 ( c_Set_Oinsert @ V_t @ V_ts @ ( tc_Hoare__Mirabelle_Otriple @ T_a ) ) @
% 17.79/3.13 T_a ) ))).
% 17.79/3.13 thf(zip_derived_cl132, plain,
% 17.79/3.13 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 17.79/3.13 ( (c_Hoare__Mirabelle_Ohoare__derivs @ X0 @ X1 @ X2)
% 17.79/3.13 | ~ (c_Hoare__Mirabelle_Ohoare__derivs @ X0 @
% 17.79/3.13 (c_Set_Oinsert @ X3 @ X1 @ (tc_Hoare__Mirabelle_Otriple @ X2)) @
% 17.79/3.13 X2))),
% 17.79/3.13 inference('cnf', [status(esa)], [cls_derivs__insertD_1])).
% 17.79/3.13 thf(zip_derived_cl214, plain,
% 17.79/3.13 ( (c_Hoare__Mirabelle_Ohoare__derivs @ v_G @
% 17.79/3.13 (c_Set_Oimage @
% 17.79/3.13 (c_COMBS @
% 17.79/3.13 (c_COMBS @
% 17.79/3.13 (c_COMBB @ (c_Hoare__Mirabelle_Otriple_Otriple @ t_b) @ v_P_H @
% 17.79/3.13 (tc_fun @ t_b @ (tc_fun @ tc_Com_Ostate @ tc_bool)) @
% 17.79/3.13 (tc_fun @ tc_Com_Ocom @
% 17.79/3.13 (tc_fun @ (tc_fun @ t_b @ (tc_fun @ tc_Com_Ostate @ tc_bool)) @
% 17.79/3.13 (tc_Hoare__Mirabelle_Otriple @ t_b))) @
% 17.79/3.13 t_a) @
% 17.79/3.13 v_c0 @ t_a @ tc_Com_Ocom @
% 17.79/3.13 (tc_fun @ (tc_fun @ t_b @ (tc_fun @ tc_Com_Ostate @ tc_bool)) @
% 17.79/3.13 (tc_Hoare__Mirabelle_Otriple @ t_b))) @
% 17.79/3.13 v_Q_H @ t_a @ (tc_fun @ t_b @ (tc_fun @ tc_Com_Ostate @ tc_bool)) @
% 17.79/3.13 (tc_Hoare__Mirabelle_Otriple @ t_b)) @
% 17.79/3.13 v_F @ t_a @ (tc_Hoare__Mirabelle_Otriple @ t_b)) @
% 17.79/3.13 t_b)),
% 17.79/3.13 inference('sup-', [status(thm)], [zip_derived_cl195, zip_derived_cl132])).
% 17.79/3.13 thf(zip_derived_cl219, plain,
% 17.79/3.13 ( (c_Hoare__Mirabelle_Ohoare__derivs @ v_G @
% 17.79/3.13 (c_Set_Oimage @
% 17.79/3.13 (c_COMBS @
% 17.79/3.13 (c_COMBS @
% 17.79/3.13 (c_COMBB @ (c_Hoare__Mirabelle_Otriple_Otriple @ t_b) @ v_P @
% 17.79/3.13 (tc_fun @ t_b @ (tc_fun @ tc_Com_Ostate @ tc_bool)) @
% 17.79/3.13 (tc_fun @ tc_Com_Ocom @
% 17.79/3.13 (tc_fun @ (tc_fun @ t_b @ (tc_fun @ tc_Com_Ostate @ tc_bool)) @
% 17.79/3.13 (tc_Hoare__Mirabelle_Otriple @ t_b))) @
% 17.79/3.13 t_a) @
% 17.79/3.13 v_c0 @ t_a @ tc_Com_Ocom @
% 17.79/3.13 (tc_fun @ (tc_fun @ t_b @ (tc_fun @ tc_Com_Ostate @ tc_bool)) @
% 17.79/3.13 (tc_Hoare__Mirabelle_Otriple @ t_b))) @
% 17.79/3.13 v_Q @ t_a @ (tc_fun @ t_b @ (tc_fun @ tc_Com_Ostate @ tc_bool)) @
% 17.79/3.13 (tc_Hoare__Mirabelle_Otriple @ t_b)) @
% 17.79/3.13 v_F @ t_a @ (tc_Hoare__Mirabelle_Otriple @ t_b)) @
% 17.79/3.13 t_b)),
% 17.79/3.13 inference('demod', [status(thm)], [zip_derived_cl192, zip_derived_cl214])).
% 17.79/3.13 thf(zip_derived_cl1334, plain,
% 17.79/3.13 (~ (c_Hoare__Mirabelle_Ohoare__derivs @ v_G @
% 17.79/3.13 (c_Set_Oinsert @
% 17.79/3.13 (hAPP @
% 17.79/3.13 (hAPP @
% 17.79/3.13 (hAPP @ (c_Hoare__Mirabelle_Otriple_Otriple @ t_b) @
% 17.79/3.13 (hAPP @ v_P @ v_x)) @
% 17.79/3.13 (hAPP @ v_c0 @ v_x)) @
% 17.79/3.13 (hAPP @ v_Q @ v_x)) @
% 17.79/3.13 (c_Orderings_Obot__class_Obot @
% 17.79/3.13 (tc_fun @ (tc_Hoare__Mirabelle_Otriple @ t_b) @ tc_bool)) @
% 17.79/3.13 (tc_Hoare__Mirabelle_Otriple @ t_b)) @
% 17.79/3.13 t_b)),
% 17.79/3.13 inference('demod', [status(thm)], [zip_derived_cl1316, zip_derived_cl219])).
% 17.79/3.13 thf(zip_derived_cl4844, plain,
% 17.79/3.13 (~ (c_Hoare__Mirabelle_Ohoare__derivs @ v_G @
% 17.79/3.13 (c_Set_Oinsert @
% 17.79/3.13 (hAPP @
% 17.79/3.13 (hAPP @
% 17.79/3.13 (hAPP @ (c_Hoare__Mirabelle_Otriple_Otriple @ t_b) @
% 17.79/3.13 (hAPP @ v_P_H @ v_x)) @
% 17.79/3.13 (hAPP @ v_c0 @ v_x)) @
% 17.79/3.13 (hAPP @ v_Q_H @ v_x)) @
% 17.79/3.13 (c_Orderings_Obot__class_Obot @
% 17.79/3.13 (tc_fun @ (tc_Hoare__Mirabelle_Otriple @ t_b) @ tc_bool)) @
% 17.79/3.13 (tc_Hoare__Mirabelle_Otriple @ t_b)) @
% 17.79/3.13 t_b)),
% 17.79/3.13 inference('sup-', [status(thm)], [zip_derived_cl193, zip_derived_cl1334])).
% 17.79/3.13 thf(zip_derived_cl195, plain,
% 17.79/3.13 ( (c_Hoare__Mirabelle_Ohoare__derivs @ v_G @
% 17.79/3.13 (c_Set_Oinsert @
% 17.79/3.13 (hAPP @
% 17.79/3.13 (hAPP @
% 17.79/3.13 (hAPP @ (c_Hoare__Mirabelle_Otriple_Otriple @ t_b) @
% 17.79/3.13 (hAPP @ v_P_H @ v_x)) @
% 17.79/3.13 (hAPP @ v_c0 @ v_x)) @
% 17.79/3.13 (hAPP @ v_Q_H @ v_x)) @
% 17.79/3.13 (c_Set_Oimage @
% 17.79/3.13 (c_COMBS @
% 17.79/3.13 (c_COMBS @
% 17.79/3.13 (c_COMBB @ (c_Hoare__Mirabelle_Otriple_Otriple @ t_b) @ v_P_H @
% 17.79/3.13 (tc_fun @ t_b @ (tc_fun @ tc_Com_Ostate @ tc_bool)) @
% 17.79/3.13 (tc_fun @ tc_Com_Ocom @
% 17.79/3.13 (tc_fun @ (tc_fun @ t_b @ (tc_fun @ tc_Com_Ostate @ tc_bool)) @
% 17.79/3.13 (tc_Hoare__Mirabelle_Otriple @ t_b))) @
% 17.79/3.13 t_a) @
% 17.79/3.13 v_c0 @ t_a @ tc_Com_Ocom @
% 17.79/3.13 (tc_fun @ (tc_fun @ t_b @ (tc_fun @ tc_Com_Ostate @ tc_bool)) @
% 17.79/3.13 (tc_Hoare__Mirabelle_Otriple @ t_b))) @
% 17.79/3.13 v_Q_H @ t_a @
% 17.79/3.13 (tc_fun @ t_b @ (tc_fun @ tc_Com_Ostate @ tc_bool)) @
% 17.79/3.13 (tc_Hoare__Mirabelle_Otriple @ t_b)) @
% 17.79/3.13 v_F @ t_a @ (tc_Hoare__Mirabelle_Otriple @ t_b)) @
% 17.79/3.13 (tc_Hoare__Mirabelle_Otriple @ t_b)) @
% 17.79/3.13 t_b)),
% 17.79/3.13 inference('cnf', [status(esa)], [zf_stmt_3])).
% 17.79/3.13 thf(cls_derivs__insertD_0, axiom,
% 17.79/3.13 (( c_Hoare__Mirabelle_Ohoare__derivs @
% 17.79/3.13 V_G @
% 17.79/3.13 ( c_Set_Oinsert @
% 17.79/3.13 V_t @
% 17.79/3.13 ( c_Orderings_Obot__class_Obot @
% 17.79/3.13 ( tc_fun @ ( tc_Hoare__Mirabelle_Otriple @ T_a ) @ tc_bool ) ) @
% 17.79/3.13 ( tc_Hoare__Mirabelle_Otriple @ T_a ) ) @
% 17.79/3.13 T_a ) |
% 17.79/3.13 ( ~( c_Hoare__Mirabelle_Ohoare__derivs @
% 17.79/3.13 V_G @
% 17.79/3.13 ( c_Set_Oinsert @ V_t @ V_ts @ ( tc_Hoare__Mirabelle_Otriple @ T_a ) ) @
% 17.79/3.13 T_a ) ))).
% 17.79/3.13 thf(zip_derived_cl180, plain,
% 17.79/3.13 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 17.79/3.13 ( (c_Hoare__Mirabelle_Ohoare__derivs @ X0 @
% 17.79/3.13 (c_Set_Oinsert @ X1 @
% 17.79/3.13 (c_Orderings_Obot__class_Obot @
% 17.79/3.13 (tc_fun @ (tc_Hoare__Mirabelle_Otriple @ X2) @ tc_bool)) @
% 17.79/3.13 (tc_Hoare__Mirabelle_Otriple @ X2)) @
% 17.79/3.13 X2)
% 17.79/3.13 | ~ (c_Hoare__Mirabelle_Ohoare__derivs @ X0 @
% 17.79/3.13 (c_Set_Oinsert @ X1 @ X3 @ (tc_Hoare__Mirabelle_Otriple @ X2)) @
% 17.79/3.13 X2))),
% 17.79/3.13 inference('cnf', [status(esa)], [cls_derivs__insertD_0])).
% 17.79/3.13 thf(zip_derived_cl569, plain,
% 17.79/3.13 ( (c_Hoare__Mirabelle_Ohoare__derivs @ v_G @
% 17.79/3.13 (c_Set_Oinsert @
% 17.79/3.13 (hAPP @
% 17.79/3.13 (hAPP @
% 17.79/3.13 (hAPP @ (c_Hoare__Mirabelle_Otriple_Otriple @ t_b) @
% 17.79/3.13 (hAPP @ v_P_H @ v_x)) @
% 17.79/3.13 (hAPP @ v_c0 @ v_x)) @
% 17.79/3.13 (hAPP @ v_Q_H @ v_x)) @
% 17.79/3.13 (c_Orderings_Obot__class_Obot @
% 17.79/3.13 (tc_fun @ (tc_Hoare__Mirabelle_Otriple @ t_b) @ tc_bool)) @
% 17.79/3.13 (tc_Hoare__Mirabelle_Otriple @ t_b)) @
% 17.79/3.13 t_b)),
% 17.79/3.13 inference('sup-', [status(thm)], [zip_derived_cl195, zip_derived_cl180])).
% 17.79/3.13 thf(zip_derived_cl4859, plain, ($false),
% 17.79/3.13 inference('demod', [status(thm)], [zip_derived_cl4844, zip_derived_cl569])).
% 17.79/3.13
% 17.79/3.13 % SZS output end Refutation
% 17.79/3.13
% 17.79/3.13
% 17.79/3.13 % Terminating...
% 18.37/3.26 % Runner terminated.
% 18.37/3.28 % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------