TSTP Solution File: SWW321+1 by Zipperpin---2.1.9999
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%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : SWW321+1 : TPTP v8.1.2. Released v5.2.0.
% Transfm : NO INFORMATION
% Format : NO INFORMATION
% Command : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.K9FOFRUUN9 true
% Computer : n023.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Fri Sep 1 01:41:34 EDT 2023
% Result : Theorem 13.70s 2.62s
% Output : Refutation 13.70s
% Verified :
% SZS Type : Refutation
% Derivation depth : 5
% Number of leaves : 29
% Syntax : Number of formulae : 45 ( 12 unt; 23 typ; 0 def)
% Number of atoms : 35 ( 0 equ; 0 cnn)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 1183 ( 11 ~; 7 |; 1 &;1159 @)
% ( 0 <=>; 5 =>; 0 <=; 0 <~>)
% Maximal formula depth : 25 ( 18 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 20 ( 20 >; 0 *; 0 +; 0 <<)
% Number of symbols : 24 ( 23 usr; 14 con; 0-3 aty)
% Number of variables : 22 ( 0 ^; 22 !; 0 ?; 22 :)
% Comments :
%------------------------------------------------------------------------------
thf(v_G_type,type,
v_G: $i ).
thf(t_a_type,type,
t_a: $i ).
thf(v_P_type,type,
v_P: $i ).
thf(c_COMBS_type,type,
c_COMBS: $i > $i > $i > $i ).
thf(tc_Com_Ostate_type,type,
tc_Com_Ostate: $i ).
thf(c_Set_Oinsert_type,type,
c_Set_Oinsert: $i > $i ).
thf(v_c0_type,type,
v_c0: $i ).
thf(c_Hoare__Mirabelle_Ohoare__derivs_type,type,
c_Hoare__Mirabelle_Ohoare__derivs: $i > $i > $i > $o ).
thf(tc_Com_Ocom_type,type,
tc_Com_Ocom: $i ).
thf(hAPP_type,type,
hAPP: $i > $i > $i ).
thf(v_x_type,type,
v_x: $i ).
thf(c_Orderings_Obot__class_Obot_type,type,
c_Orderings_Obot__class_Obot: $i > $i ).
thf(c_Hoare__Mirabelle_Otriple_Otriple_type,type,
c_Hoare__Mirabelle_Otriple_Otriple: $i > $i ).
thf(tc_HOL_Obool_type,type,
tc_HOL_Obool: $i ).
thf(v_Q_H_type,type,
v_Q_H: $i ).
thf(tc_Hoare__Mirabelle_Otriple_type,type,
tc_Hoare__Mirabelle_Otriple: $i > $i ).
thf(c_Set_Oimage_type,type,
c_Set_Oimage: $i > $i > $i > $i ).
thf(v_F_type,type,
v_F: $i ).
thf(c_COMBB_type,type,
c_COMBB: $i > $i > $i > $i ).
thf(v_P_H_type,type,
v_P_H: $i ).
thf(t_b_type,type,
t_b: $i ).
thf(tc_fun_type,type,
tc_fun: $i > $i > $i ).
thf(v_Q_type,type,
v_Q: $i ).
thf(fact_hoare__derivs_Oinsert,axiom,
! [V_ts_2: $i,V_t_2: $i,V_Ga_2: $i,T_c: $i] :
( ( c_Hoare__Mirabelle_Ohoare__derivs @ T_c @ V_Ga_2 @ ( hAPP @ ( hAPP @ ( c_Set_Oinsert @ ( tc_Hoare__Mirabelle_Otriple @ T_c ) ) @ V_t_2 ) @ ( c_Orderings_Obot__class_Obot @ ( tc_fun @ ( tc_Hoare__Mirabelle_Otriple @ T_c ) @ tc_HOL_Obool ) ) ) )
=> ( ( c_Hoare__Mirabelle_Ohoare__derivs @ T_c @ V_Ga_2 @ V_ts_2 )
=> ( c_Hoare__Mirabelle_Ohoare__derivs @ T_c @ V_Ga_2 @ ( hAPP @ ( hAPP @ ( c_Set_Oinsert @ ( tc_Hoare__Mirabelle_Otriple @ T_c ) ) @ V_t_2 ) @ V_ts_2 ) ) ) ) ).
thf(zip_derived_cl8,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ ( c_Hoare__Mirabelle_Ohoare__derivs @ X0 @ X1 @ X2 )
| ( c_Hoare__Mirabelle_Ohoare__derivs @ X0 @ X1 @ ( hAPP @ ( hAPP @ ( c_Set_Oinsert @ ( tc_Hoare__Mirabelle_Otriple @ X0 ) ) @ X3 ) @ X2 ) )
| ~ ( c_Hoare__Mirabelle_Ohoare__derivs @ X0 @ X1 @ ( hAPP @ ( hAPP @ ( c_Set_Oinsert @ ( tc_Hoare__Mirabelle_Otriple @ X0 ) ) @ X3 ) @ ( c_Orderings_Obot__class_Obot @ ( tc_fun @ ( tc_Hoare__Mirabelle_Otriple @ X0 ) @ tc_HOL_Obool ) ) ) ) ),
inference(cnf,[status(esa)],[fact_hoare__derivs_Oinsert]) ).
thf(conj_5,conjecture,
c_Hoare__Mirabelle_Ohoare__derivs @ t_b @ v_G @ ( hAPP @ ( hAPP @ ( c_Set_Oinsert @ ( tc_Hoare__Mirabelle_Otriple @ t_b ) ) @ ( hAPP @ ( hAPP @ ( hAPP @ ( c_Hoare__Mirabelle_Otriple_Otriple @ t_b ) @ ( hAPP @ v_P @ v_x ) ) @ ( hAPP @ v_c0 @ v_x ) ) @ ( hAPP @ v_Q @ v_x ) ) ) @ ( hAPP @ ( c_Set_Oimage @ t_a @ ( tc_Hoare__Mirabelle_Otriple @ t_b ) @ ( hAPP @ ( hAPP @ ( c_COMBS @ t_a @ ( tc_fun @ t_b @ ( tc_fun @ tc_Com_Ostate @ tc_HOL_Obool ) ) @ ( tc_Hoare__Mirabelle_Otriple @ t_b ) ) @ ( hAPP @ ( hAPP @ ( c_COMBS @ t_a @ tc_Com_Ocom @ ( tc_fun @ ( tc_fun @ t_b @ ( tc_fun @ tc_Com_Ostate @ tc_HOL_Obool ) ) @ ( tc_Hoare__Mirabelle_Otriple @ t_b ) ) ) @ ( hAPP @ ( hAPP @ ( c_COMBB @ ( tc_fun @ t_b @ ( tc_fun @ tc_Com_Ostate @ tc_HOL_Obool ) ) @ ( tc_fun @ tc_Com_Ocom @ ( tc_fun @ ( tc_fun @ t_b @ ( tc_fun @ tc_Com_Ostate @ tc_HOL_Obool ) ) @ ( tc_Hoare__Mirabelle_Otriple @ t_b ) ) ) @ t_a ) @ ( c_Hoare__Mirabelle_Otriple_Otriple @ t_b ) ) @ v_P ) ) @ v_c0 ) ) @ v_Q ) ) @ v_F ) ) ).
thf(zf_stmt_0,negated_conjecture,
~ ( c_Hoare__Mirabelle_Ohoare__derivs @ t_b @ v_G @ ( hAPP @ ( hAPP @ ( c_Set_Oinsert @ ( tc_Hoare__Mirabelle_Otriple @ t_b ) ) @ ( hAPP @ ( hAPP @ ( hAPP @ ( c_Hoare__Mirabelle_Otriple_Otriple @ t_b ) @ ( hAPP @ v_P @ v_x ) ) @ ( hAPP @ v_c0 @ v_x ) ) @ ( hAPP @ v_Q @ v_x ) ) ) @ ( hAPP @ ( c_Set_Oimage @ t_a @ ( tc_Hoare__Mirabelle_Otriple @ t_b ) @ ( hAPP @ ( hAPP @ ( c_COMBS @ t_a @ ( tc_fun @ t_b @ ( tc_fun @ tc_Com_Ostate @ tc_HOL_Obool ) ) @ ( tc_Hoare__Mirabelle_Otriple @ t_b ) ) @ ( hAPP @ ( hAPP @ ( c_COMBS @ t_a @ tc_Com_Ocom @ ( tc_fun @ ( tc_fun @ t_b @ ( tc_fun @ tc_Com_Ostate @ tc_HOL_Obool ) ) @ ( tc_Hoare__Mirabelle_Otriple @ t_b ) ) ) @ ( hAPP @ ( hAPP @ ( c_COMBB @ ( tc_fun @ t_b @ ( tc_fun @ tc_Com_Ostate @ tc_HOL_Obool ) ) @ ( tc_fun @ tc_Com_Ocom @ ( tc_fun @ ( tc_fun @ t_b @ ( tc_fun @ tc_Com_Ostate @ tc_HOL_Obool ) ) @ ( tc_Hoare__Mirabelle_Otriple @ t_b ) ) ) @ t_a ) @ ( c_Hoare__Mirabelle_Otriple_Otriple @ t_b ) ) @ v_P ) ) @ v_c0 ) ) @ v_Q ) ) @ v_F ) ) ),
inference('cnf.neg',[status(esa)],[conj_5]) ).
thf(zip_derived_cl173,plain,
~ ( c_Hoare__Mirabelle_Ohoare__derivs @ t_b @ v_G @ ( hAPP @ ( hAPP @ ( c_Set_Oinsert @ ( tc_Hoare__Mirabelle_Otriple @ t_b ) ) @ ( hAPP @ ( hAPP @ ( hAPP @ ( c_Hoare__Mirabelle_Otriple_Otriple @ t_b ) @ ( hAPP @ v_P @ v_x ) ) @ ( hAPP @ v_c0 @ v_x ) ) @ ( hAPP @ v_Q @ v_x ) ) ) @ ( hAPP @ ( c_Set_Oimage @ t_a @ ( tc_Hoare__Mirabelle_Otriple @ t_b ) @ ( hAPP @ ( hAPP @ ( c_COMBS @ t_a @ ( tc_fun @ t_b @ ( tc_fun @ tc_Com_Ostate @ tc_HOL_Obool ) ) @ ( tc_Hoare__Mirabelle_Otriple @ t_b ) ) @ ( hAPP @ ( hAPP @ ( c_COMBS @ t_a @ tc_Com_Ocom @ ( tc_fun @ ( tc_fun @ t_b @ ( tc_fun @ tc_Com_Ostate @ tc_HOL_Obool ) ) @ ( tc_Hoare__Mirabelle_Otriple @ t_b ) ) ) @ ( hAPP @ ( hAPP @ ( c_COMBB @ ( tc_fun @ t_b @ ( tc_fun @ tc_Com_Ostate @ tc_HOL_Obool ) ) @ ( tc_fun @ tc_Com_Ocom @ ( tc_fun @ ( tc_fun @ t_b @ ( tc_fun @ tc_Com_Ostate @ tc_HOL_Obool ) ) @ ( tc_Hoare__Mirabelle_Otriple @ t_b ) ) ) @ t_a ) @ ( c_Hoare__Mirabelle_Otriple_Otriple @ t_b ) ) @ v_P ) ) @ v_c0 ) ) @ v_Q ) ) @ v_F ) ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl235,plain,
( ~ ( c_Hoare__Mirabelle_Ohoare__derivs @ t_b @ v_G @ ( hAPP @ ( hAPP @ ( c_Set_Oinsert @ ( tc_Hoare__Mirabelle_Otriple @ t_b ) ) @ ( hAPP @ ( hAPP @ ( hAPP @ ( c_Hoare__Mirabelle_Otriple_Otriple @ t_b ) @ ( hAPP @ v_P @ v_x ) ) @ ( hAPP @ v_c0 @ v_x ) ) @ ( hAPP @ v_Q @ v_x ) ) ) @ ( c_Orderings_Obot__class_Obot @ ( tc_fun @ ( tc_Hoare__Mirabelle_Otriple @ t_b ) @ tc_HOL_Obool ) ) ) )
| ~ ( c_Hoare__Mirabelle_Ohoare__derivs @ t_b @ v_G @ ( hAPP @ ( c_Set_Oimage @ t_a @ ( tc_Hoare__Mirabelle_Otriple @ t_b ) @ ( hAPP @ ( hAPP @ ( c_COMBS @ t_a @ ( tc_fun @ t_b @ ( tc_fun @ tc_Com_Ostate @ tc_HOL_Obool ) ) @ ( tc_Hoare__Mirabelle_Otriple @ t_b ) ) @ ( hAPP @ ( hAPP @ ( c_COMBS @ t_a @ tc_Com_Ocom @ ( tc_fun @ ( tc_fun @ t_b @ ( tc_fun @ tc_Com_Ostate @ tc_HOL_Obool ) ) @ ( tc_Hoare__Mirabelle_Otriple @ t_b ) ) ) @ ( hAPP @ ( hAPP @ ( c_COMBB @ ( tc_fun @ t_b @ ( tc_fun @ tc_Com_Ostate @ tc_HOL_Obool ) ) @ ( tc_fun @ tc_Com_Ocom @ ( tc_fun @ ( tc_fun @ t_b @ ( tc_fun @ tc_Com_Ostate @ tc_HOL_Obool ) ) @ ( tc_Hoare__Mirabelle_Otriple @ t_b ) ) ) @ t_a ) @ ( c_Hoare__Mirabelle_Otriple_Otriple @ t_b ) ) @ v_P ) ) @ v_c0 ) ) @ v_Q ) ) @ v_F ) ) ),
inference('sup-',[status(thm)],[zip_derived_cl8,zip_derived_cl173]) ).
thf(conj_3,axiom,
( ( c_Hoare__Mirabelle_Ohoare__derivs @ t_b @ v_G @ ( hAPP @ ( c_Set_Oimage @ t_a @ ( tc_Hoare__Mirabelle_Otriple @ t_b ) @ ( hAPP @ ( hAPP @ ( c_COMBS @ t_a @ ( tc_fun @ t_b @ ( tc_fun @ tc_Com_Ostate @ tc_HOL_Obool ) ) @ ( tc_Hoare__Mirabelle_Otriple @ t_b ) ) @ ( hAPP @ ( hAPP @ ( c_COMBS @ t_a @ tc_Com_Ocom @ ( tc_fun @ ( tc_fun @ t_b @ ( tc_fun @ tc_Com_Ostate @ tc_HOL_Obool ) ) @ ( tc_Hoare__Mirabelle_Otriple @ t_b ) ) ) @ ( hAPP @ ( hAPP @ ( c_COMBB @ ( tc_fun @ t_b @ ( tc_fun @ tc_Com_Ostate @ tc_HOL_Obool ) ) @ ( tc_fun @ tc_Com_Ocom @ ( tc_fun @ ( tc_fun @ t_b @ ( tc_fun @ tc_Com_Ostate @ tc_HOL_Obool ) ) @ ( tc_Hoare__Mirabelle_Otriple @ t_b ) ) ) @ t_a ) @ ( c_Hoare__Mirabelle_Otriple_Otriple @ t_b ) ) @ v_P_H ) ) @ v_c0 ) ) @ v_Q_H ) ) @ v_F ) )
=> ( c_Hoare__Mirabelle_Ohoare__derivs @ t_b @ v_G @ ( hAPP @ ( c_Set_Oimage @ t_a @ ( tc_Hoare__Mirabelle_Otriple @ t_b ) @ ( hAPP @ ( hAPP @ ( c_COMBS @ t_a @ ( tc_fun @ t_b @ ( tc_fun @ tc_Com_Ostate @ tc_HOL_Obool ) ) @ ( tc_Hoare__Mirabelle_Otriple @ t_b ) ) @ ( hAPP @ ( hAPP @ ( c_COMBS @ t_a @ tc_Com_Ocom @ ( tc_fun @ ( tc_fun @ t_b @ ( tc_fun @ tc_Com_Ostate @ tc_HOL_Obool ) ) @ ( tc_Hoare__Mirabelle_Otriple @ t_b ) ) ) @ ( hAPP @ ( hAPP @ ( c_COMBB @ ( tc_fun @ t_b @ ( tc_fun @ tc_Com_Ostate @ tc_HOL_Obool ) ) @ ( tc_fun @ tc_Com_Ocom @ ( tc_fun @ ( tc_fun @ t_b @ ( tc_fun @ tc_Com_Ostate @ tc_HOL_Obool ) ) @ ( tc_Hoare__Mirabelle_Otriple @ t_b ) ) ) @ t_a ) @ ( c_Hoare__Mirabelle_Otriple_Otriple @ t_b ) ) @ v_P ) ) @ v_c0 ) ) @ v_Q ) ) @ v_F ) ) ) ).
thf(zip_derived_cl171,plain,
( ( c_Hoare__Mirabelle_Ohoare__derivs @ t_b @ v_G @ ( hAPP @ ( c_Set_Oimage @ t_a @ ( tc_Hoare__Mirabelle_Otriple @ t_b ) @ ( hAPP @ ( hAPP @ ( c_COMBS @ t_a @ ( tc_fun @ t_b @ ( tc_fun @ tc_Com_Ostate @ tc_HOL_Obool ) ) @ ( tc_Hoare__Mirabelle_Otriple @ t_b ) ) @ ( hAPP @ ( hAPP @ ( c_COMBS @ t_a @ tc_Com_Ocom @ ( tc_fun @ ( tc_fun @ t_b @ ( tc_fun @ tc_Com_Ostate @ tc_HOL_Obool ) ) @ ( tc_Hoare__Mirabelle_Otriple @ t_b ) ) ) @ ( hAPP @ ( hAPP @ ( c_COMBB @ ( tc_fun @ t_b @ ( tc_fun @ tc_Com_Ostate @ tc_HOL_Obool ) ) @ ( tc_fun @ tc_Com_Ocom @ ( tc_fun @ ( tc_fun @ t_b @ ( tc_fun @ tc_Com_Ostate @ tc_HOL_Obool ) ) @ ( tc_Hoare__Mirabelle_Otriple @ t_b ) ) ) @ t_a ) @ ( c_Hoare__Mirabelle_Otriple_Otriple @ t_b ) ) @ v_P ) ) @ v_c0 ) ) @ v_Q ) ) @ v_F ) )
| ~ ( c_Hoare__Mirabelle_Ohoare__derivs @ t_b @ v_G @ ( hAPP @ ( c_Set_Oimage @ t_a @ ( tc_Hoare__Mirabelle_Otriple @ t_b ) @ ( hAPP @ ( hAPP @ ( c_COMBS @ t_a @ ( tc_fun @ t_b @ ( tc_fun @ tc_Com_Ostate @ tc_HOL_Obool ) ) @ ( tc_Hoare__Mirabelle_Otriple @ t_b ) ) @ ( hAPP @ ( hAPP @ ( c_COMBS @ t_a @ tc_Com_Ocom @ ( tc_fun @ ( tc_fun @ t_b @ ( tc_fun @ tc_Com_Ostate @ tc_HOL_Obool ) ) @ ( tc_Hoare__Mirabelle_Otriple @ t_b ) ) ) @ ( hAPP @ ( hAPP @ ( c_COMBB @ ( tc_fun @ t_b @ ( tc_fun @ tc_Com_Ostate @ tc_HOL_Obool ) ) @ ( tc_fun @ tc_Com_Ocom @ ( tc_fun @ ( tc_fun @ t_b @ ( tc_fun @ tc_Com_Ostate @ tc_HOL_Obool ) ) @ ( tc_Hoare__Mirabelle_Otriple @ t_b ) ) ) @ t_a ) @ ( c_Hoare__Mirabelle_Otriple_Otriple @ t_b ) ) @ v_P_H ) ) @ v_c0 ) ) @ v_Q_H ) ) @ v_F ) ) ),
inference(cnf,[status(esa)],[conj_3]) ).
thf(conj_4,axiom,
c_Hoare__Mirabelle_Ohoare__derivs @ t_b @ v_G @ ( hAPP @ ( hAPP @ ( c_Set_Oinsert @ ( tc_Hoare__Mirabelle_Otriple @ t_b ) ) @ ( hAPP @ ( hAPP @ ( hAPP @ ( c_Hoare__Mirabelle_Otriple_Otriple @ t_b ) @ ( hAPP @ v_P_H @ v_x ) ) @ ( hAPP @ v_c0 @ v_x ) ) @ ( hAPP @ v_Q_H @ v_x ) ) ) @ ( hAPP @ ( c_Set_Oimage @ t_a @ ( tc_Hoare__Mirabelle_Otriple @ t_b ) @ ( hAPP @ ( hAPP @ ( c_COMBS @ t_a @ ( tc_fun @ t_b @ ( tc_fun @ tc_Com_Ostate @ tc_HOL_Obool ) ) @ ( tc_Hoare__Mirabelle_Otriple @ t_b ) ) @ ( hAPP @ ( hAPP @ ( c_COMBS @ t_a @ tc_Com_Ocom @ ( tc_fun @ ( tc_fun @ t_b @ ( tc_fun @ tc_Com_Ostate @ tc_HOL_Obool ) ) @ ( tc_Hoare__Mirabelle_Otriple @ t_b ) ) ) @ ( hAPP @ ( hAPP @ ( c_COMBB @ ( tc_fun @ t_b @ ( tc_fun @ tc_Com_Ostate @ tc_HOL_Obool ) ) @ ( tc_fun @ tc_Com_Ocom @ ( tc_fun @ ( tc_fun @ t_b @ ( tc_fun @ tc_Com_Ostate @ tc_HOL_Obool ) ) @ ( tc_Hoare__Mirabelle_Otriple @ t_b ) ) ) @ t_a ) @ ( c_Hoare__Mirabelle_Otriple_Otriple @ t_b ) ) @ v_P_H ) ) @ v_c0 ) ) @ v_Q_H ) ) @ v_F ) ) ).
thf(zip_derived_cl172,plain,
c_Hoare__Mirabelle_Ohoare__derivs @ t_b @ v_G @ ( hAPP @ ( hAPP @ ( c_Set_Oinsert @ ( tc_Hoare__Mirabelle_Otriple @ t_b ) ) @ ( hAPP @ ( hAPP @ ( hAPP @ ( c_Hoare__Mirabelle_Otriple_Otriple @ t_b ) @ ( hAPP @ v_P_H @ v_x ) ) @ ( hAPP @ v_c0 @ v_x ) ) @ ( hAPP @ v_Q_H @ v_x ) ) ) @ ( hAPP @ ( c_Set_Oimage @ t_a @ ( tc_Hoare__Mirabelle_Otriple @ t_b ) @ ( hAPP @ ( hAPP @ ( c_COMBS @ t_a @ ( tc_fun @ t_b @ ( tc_fun @ tc_Com_Ostate @ tc_HOL_Obool ) ) @ ( tc_Hoare__Mirabelle_Otriple @ t_b ) ) @ ( hAPP @ ( hAPP @ ( c_COMBS @ t_a @ tc_Com_Ocom @ ( tc_fun @ ( tc_fun @ t_b @ ( tc_fun @ tc_Com_Ostate @ tc_HOL_Obool ) ) @ ( tc_Hoare__Mirabelle_Otriple @ t_b ) ) ) @ ( hAPP @ ( hAPP @ ( c_COMBB @ ( tc_fun @ t_b @ ( tc_fun @ tc_Com_Ostate @ tc_HOL_Obool ) ) @ ( tc_fun @ tc_Com_Ocom @ ( tc_fun @ ( tc_fun @ t_b @ ( tc_fun @ tc_Com_Ostate @ tc_HOL_Obool ) ) @ ( tc_Hoare__Mirabelle_Otriple @ t_b ) ) ) @ t_a ) @ ( c_Hoare__Mirabelle_Otriple_Otriple @ t_b ) ) @ v_P_H ) ) @ v_c0 ) ) @ v_Q_H ) ) @ v_F ) ),
inference(cnf,[status(esa)],[conj_4]) ).
thf(fact_derivs__insertD,axiom,
! [V_ts_2: $i,V_t_2: $i,V_Ga_2: $i,T_c: $i] :
( ( c_Hoare__Mirabelle_Ohoare__derivs @ T_c @ V_Ga_2 @ ( hAPP @ ( hAPP @ ( c_Set_Oinsert @ ( tc_Hoare__Mirabelle_Otriple @ T_c ) ) @ V_t_2 ) @ V_ts_2 ) )
=> ( ( c_Hoare__Mirabelle_Ohoare__derivs @ T_c @ V_Ga_2 @ ( hAPP @ ( hAPP @ ( c_Set_Oinsert @ ( tc_Hoare__Mirabelle_Otriple @ T_c ) ) @ V_t_2 ) @ ( c_Orderings_Obot__class_Obot @ ( tc_fun @ ( tc_Hoare__Mirabelle_Otriple @ T_c ) @ tc_HOL_Obool ) ) ) )
& ( c_Hoare__Mirabelle_Ohoare__derivs @ T_c @ V_Ga_2 @ V_ts_2 ) ) ) ).
thf(zip_derived_cl10,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( c_Hoare__Mirabelle_Ohoare__derivs @ X0 @ X1 @ X2 )
| ~ ( c_Hoare__Mirabelle_Ohoare__derivs @ X0 @ X1 @ ( hAPP @ ( hAPP @ ( c_Set_Oinsert @ ( tc_Hoare__Mirabelle_Otriple @ X0 ) ) @ X3 ) @ X2 ) ) ),
inference(cnf,[status(esa)],[fact_derivs__insertD]) ).
thf(zip_derived_cl180,plain,
c_Hoare__Mirabelle_Ohoare__derivs @ t_b @ v_G @ ( hAPP @ ( c_Set_Oimage @ t_a @ ( tc_Hoare__Mirabelle_Otriple @ t_b ) @ ( hAPP @ ( hAPP @ ( c_COMBS @ t_a @ ( tc_fun @ t_b @ ( tc_fun @ tc_Com_Ostate @ tc_HOL_Obool ) ) @ ( tc_Hoare__Mirabelle_Otriple @ t_b ) ) @ ( hAPP @ ( hAPP @ ( c_COMBS @ t_a @ tc_Com_Ocom @ ( tc_fun @ ( tc_fun @ t_b @ ( tc_fun @ tc_Com_Ostate @ tc_HOL_Obool ) ) @ ( tc_Hoare__Mirabelle_Otriple @ t_b ) ) ) @ ( hAPP @ ( hAPP @ ( c_COMBB @ ( tc_fun @ t_b @ ( tc_fun @ tc_Com_Ostate @ tc_HOL_Obool ) ) @ ( tc_fun @ tc_Com_Ocom @ ( tc_fun @ ( tc_fun @ t_b @ ( tc_fun @ tc_Com_Ostate @ tc_HOL_Obool ) ) @ ( tc_Hoare__Mirabelle_Otriple @ t_b ) ) ) @ t_a ) @ ( c_Hoare__Mirabelle_Otriple_Otriple @ t_b ) ) @ v_P_H ) ) @ v_c0 ) ) @ v_Q_H ) ) @ v_F ),
inference('sup-',[status(thm)],[zip_derived_cl172,zip_derived_cl10]) ).
thf(zip_derived_cl181,plain,
c_Hoare__Mirabelle_Ohoare__derivs @ t_b @ v_G @ ( hAPP @ ( c_Set_Oimage @ t_a @ ( tc_Hoare__Mirabelle_Otriple @ t_b ) @ ( hAPP @ ( hAPP @ ( c_COMBS @ t_a @ ( tc_fun @ t_b @ ( tc_fun @ tc_Com_Ostate @ tc_HOL_Obool ) ) @ ( tc_Hoare__Mirabelle_Otriple @ t_b ) ) @ ( hAPP @ ( hAPP @ ( c_COMBS @ t_a @ tc_Com_Ocom @ ( tc_fun @ ( tc_fun @ t_b @ ( tc_fun @ tc_Com_Ostate @ tc_HOL_Obool ) ) @ ( tc_Hoare__Mirabelle_Otriple @ t_b ) ) ) @ ( hAPP @ ( hAPP @ ( c_COMBB @ ( tc_fun @ t_b @ ( tc_fun @ tc_Com_Ostate @ tc_HOL_Obool ) ) @ ( tc_fun @ tc_Com_Ocom @ ( tc_fun @ ( tc_fun @ t_b @ ( tc_fun @ tc_Com_Ostate @ tc_HOL_Obool ) ) @ ( tc_Hoare__Mirabelle_Otriple @ t_b ) ) ) @ t_a ) @ ( c_Hoare__Mirabelle_Otriple_Otriple @ t_b ) ) @ v_P ) ) @ v_c0 ) ) @ v_Q ) ) @ v_F ),
inference(demod,[status(thm)],[zip_derived_cl171,zip_derived_cl180]) ).
thf(zip_derived_cl241,plain,
~ ( c_Hoare__Mirabelle_Ohoare__derivs @ t_b @ v_G @ ( hAPP @ ( hAPP @ ( c_Set_Oinsert @ ( tc_Hoare__Mirabelle_Otriple @ t_b ) ) @ ( hAPP @ ( hAPP @ ( hAPP @ ( c_Hoare__Mirabelle_Otriple_Otriple @ t_b ) @ ( hAPP @ v_P @ v_x ) ) @ ( hAPP @ v_c0 @ v_x ) ) @ ( hAPP @ v_Q @ v_x ) ) ) @ ( c_Orderings_Obot__class_Obot @ ( tc_fun @ ( tc_Hoare__Mirabelle_Otriple @ t_b ) @ tc_HOL_Obool ) ) ) ),
inference(demod,[status(thm)],[zip_derived_cl235,zip_derived_cl181]) ).
thf(conj_0,axiom,
! [B_p: $i] :
( ( c_Hoare__Mirabelle_Ohoare__derivs @ t_b @ v_G @ ( hAPP @ ( hAPP @ ( c_Set_Oinsert @ ( tc_Hoare__Mirabelle_Otriple @ t_b ) ) @ ( hAPP @ ( hAPP @ ( hAPP @ ( c_Hoare__Mirabelle_Otriple_Otriple @ t_b ) @ ( hAPP @ v_P_H @ B_p ) ) @ ( hAPP @ v_c0 @ B_p ) ) @ ( hAPP @ v_Q_H @ B_p ) ) ) @ ( c_Orderings_Obot__class_Obot @ ( tc_fun @ ( tc_Hoare__Mirabelle_Otriple @ t_b ) @ tc_HOL_Obool ) ) ) )
=> ( c_Hoare__Mirabelle_Ohoare__derivs @ t_b @ v_G @ ( hAPP @ ( hAPP @ ( c_Set_Oinsert @ ( tc_Hoare__Mirabelle_Otriple @ t_b ) ) @ ( hAPP @ ( hAPP @ ( hAPP @ ( c_Hoare__Mirabelle_Otriple_Otriple @ t_b ) @ ( hAPP @ v_P @ B_p ) ) @ ( hAPP @ v_c0 @ B_p ) ) @ ( hAPP @ v_Q @ B_p ) ) ) @ ( c_Orderings_Obot__class_Obot @ ( tc_fun @ ( tc_Hoare__Mirabelle_Otriple @ t_b ) @ tc_HOL_Obool ) ) ) ) ) ).
thf(zip_derived_cl168,plain,
! [X0: $i] :
( ( c_Hoare__Mirabelle_Ohoare__derivs @ t_b @ v_G @ ( hAPP @ ( hAPP @ ( c_Set_Oinsert @ ( tc_Hoare__Mirabelle_Otriple @ t_b ) ) @ ( hAPP @ ( hAPP @ ( hAPP @ ( c_Hoare__Mirabelle_Otriple_Otriple @ t_b ) @ ( hAPP @ v_P @ X0 ) ) @ ( hAPP @ v_c0 @ X0 ) ) @ ( hAPP @ v_Q @ X0 ) ) ) @ ( c_Orderings_Obot__class_Obot @ ( tc_fun @ ( tc_Hoare__Mirabelle_Otriple @ t_b ) @ tc_HOL_Obool ) ) ) )
| ~ ( c_Hoare__Mirabelle_Ohoare__derivs @ t_b @ v_G @ ( hAPP @ ( hAPP @ ( c_Set_Oinsert @ ( tc_Hoare__Mirabelle_Otriple @ t_b ) ) @ ( hAPP @ ( hAPP @ ( hAPP @ ( c_Hoare__Mirabelle_Otriple_Otriple @ t_b ) @ ( hAPP @ v_P_H @ X0 ) ) @ ( hAPP @ v_c0 @ X0 ) ) @ ( hAPP @ v_Q_H @ X0 ) ) ) @ ( c_Orderings_Obot__class_Obot @ ( tc_fun @ ( tc_Hoare__Mirabelle_Otriple @ t_b ) @ tc_HOL_Obool ) ) ) ) ),
inference(cnf,[status(esa)],[conj_0]) ).
thf(zip_derived_cl172_001,plain,
c_Hoare__Mirabelle_Ohoare__derivs @ t_b @ v_G @ ( hAPP @ ( hAPP @ ( c_Set_Oinsert @ ( tc_Hoare__Mirabelle_Otriple @ t_b ) ) @ ( hAPP @ ( hAPP @ ( hAPP @ ( c_Hoare__Mirabelle_Otriple_Otriple @ t_b ) @ ( hAPP @ v_P_H @ v_x ) ) @ ( hAPP @ v_c0 @ v_x ) ) @ ( hAPP @ v_Q_H @ v_x ) ) ) @ ( hAPP @ ( c_Set_Oimage @ t_a @ ( tc_Hoare__Mirabelle_Otriple @ t_b ) @ ( hAPP @ ( hAPP @ ( c_COMBS @ t_a @ ( tc_fun @ t_b @ ( tc_fun @ tc_Com_Ostate @ tc_HOL_Obool ) ) @ ( tc_Hoare__Mirabelle_Otriple @ t_b ) ) @ ( hAPP @ ( hAPP @ ( c_COMBS @ t_a @ tc_Com_Ocom @ ( tc_fun @ ( tc_fun @ t_b @ ( tc_fun @ tc_Com_Ostate @ tc_HOL_Obool ) ) @ ( tc_Hoare__Mirabelle_Otriple @ t_b ) ) ) @ ( hAPP @ ( hAPP @ ( c_COMBB @ ( tc_fun @ t_b @ ( tc_fun @ tc_Com_Ostate @ tc_HOL_Obool ) ) @ ( tc_fun @ tc_Com_Ocom @ ( tc_fun @ ( tc_fun @ t_b @ ( tc_fun @ tc_Com_Ostate @ tc_HOL_Obool ) ) @ ( tc_Hoare__Mirabelle_Otriple @ t_b ) ) ) @ t_a ) @ ( c_Hoare__Mirabelle_Otriple_Otriple @ t_b ) ) @ v_P_H ) ) @ v_c0 ) ) @ v_Q_H ) ) @ v_F ) ),
inference(cnf,[status(esa)],[conj_4]) ).
thf(zip_derived_cl9,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( c_Hoare__Mirabelle_Ohoare__derivs @ X0 @ X1 @ ( hAPP @ ( hAPP @ ( c_Set_Oinsert @ ( tc_Hoare__Mirabelle_Otriple @ X0 ) ) @ X2 ) @ ( c_Orderings_Obot__class_Obot @ ( tc_fun @ ( tc_Hoare__Mirabelle_Otriple @ X0 ) @ tc_HOL_Obool ) ) ) )
| ~ ( c_Hoare__Mirabelle_Ohoare__derivs @ X0 @ X1 @ ( hAPP @ ( hAPP @ ( c_Set_Oinsert @ ( tc_Hoare__Mirabelle_Otriple @ X0 ) ) @ X2 ) @ X3 ) ) ),
inference(cnf,[status(esa)],[fact_derivs__insertD]) ).
thf(zip_derived_cl298,plain,
c_Hoare__Mirabelle_Ohoare__derivs @ t_b @ v_G @ ( hAPP @ ( hAPP @ ( c_Set_Oinsert @ ( tc_Hoare__Mirabelle_Otriple @ t_b ) ) @ ( hAPP @ ( hAPP @ ( hAPP @ ( c_Hoare__Mirabelle_Otriple_Otriple @ t_b ) @ ( hAPP @ v_P_H @ v_x ) ) @ ( hAPP @ v_c0 @ v_x ) ) @ ( hAPP @ v_Q_H @ v_x ) ) ) @ ( c_Orderings_Obot__class_Obot @ ( tc_fun @ ( tc_Hoare__Mirabelle_Otriple @ t_b ) @ tc_HOL_Obool ) ) ),
inference('sup-',[status(thm)],[zip_derived_cl172,zip_derived_cl9]) ).
thf(zip_derived_cl3794,plain,
c_Hoare__Mirabelle_Ohoare__derivs @ t_b @ v_G @ ( hAPP @ ( hAPP @ ( c_Set_Oinsert @ ( tc_Hoare__Mirabelle_Otriple @ t_b ) ) @ ( hAPP @ ( hAPP @ ( hAPP @ ( c_Hoare__Mirabelle_Otriple_Otriple @ t_b ) @ ( hAPP @ v_P @ v_x ) ) @ ( hAPP @ v_c0 @ v_x ) ) @ ( hAPP @ v_Q @ v_x ) ) ) @ ( c_Orderings_Obot__class_Obot @ ( tc_fun @ ( tc_Hoare__Mirabelle_Otriple @ t_b ) @ tc_HOL_Obool ) ) ),
inference('sup+',[status(thm)],[zip_derived_cl168,zip_derived_cl298]) ).
thf(zip_derived_cl3882,plain,
$false,
inference(demod,[status(thm)],[zip_derived_cl241,zip_derived_cl3794]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.08/0.13 % Problem : SWW321+1 : TPTP v8.1.2. Released v5.2.0.
% 0.08/0.14 % Command : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.K9FOFRUUN9 true
% 0.14/0.36 % Computer : n023.cluster.edu
% 0.14/0.36 % Model : x86_64 x86_64
% 0.14/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.36 % Memory : 8042.1875MB
% 0.14/0.36 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.36 % CPULimit : 300
% 0.14/0.36 % WCLimit : 300
% 0.14/0.36 % DateTime : Sun Aug 27 19:18:41 EDT 2023
% 0.14/0.36 % CPUTime :
% 0.14/0.36 % Running portfolio for 300 s
% 0.14/0.36 % File : /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.14/0.36 % Number of cores: 8
% 0.14/0.36 % Python version: Python 3.6.8
% 0.14/0.37 % Running in FO mode
% 0.58/0.65 % Total configuration time : 435
% 0.58/0.65 % Estimated wc time : 1092
% 0.58/0.65 % Estimated cpu time (7 cpus) : 156.0
% 0.58/0.74 % /export/starexec/sandbox/solver/bin/fo/fo6_bce.sh running for 75s
% 0.58/0.75 % /export/starexec/sandbox/solver/bin/fo/fo3_bce.sh running for 75s
% 0.58/0.77 % /export/starexec/sandbox/solver/bin/fo/fo7.sh running for 63s
% 0.58/0.77 % /export/starexec/sandbox/solver/bin/fo/fo1_av.sh running for 75s
% 0.58/0.78 % /export/starexec/sandbox/solver/bin/fo/fo5.sh running for 50s
% 0.58/0.78 % /export/starexec/sandbox/solver/bin/fo/fo13.sh running for 50s
% 0.59/0.79 % /export/starexec/sandbox/solver/bin/fo/fo4.sh running for 50s
% 13.70/2.62 % Solved by fo/fo4.sh.
% 13.70/2.62 % done 362 iterations in 1.806s
% 13.70/2.62 % SZS status Theorem for '/export/starexec/sandbox/benchmark/theBenchmark.p'
% 13.70/2.62 % SZS output start Refutation
% See solution above
% 13.70/2.63
% 13.70/2.63
% 13.70/2.63 % Terminating...
% 13.70/2.67 % Runner terminated.
% 13.70/2.69 % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------