%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : SWW391+1 : TPTP v9.2.0. Released v5.2.0.
% Transfm : none
% Format : tptp:raw
% Command : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.KxXg7srm5m true
% Computer : n012.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 05:02:44 PM UTC 2025
% Result : Theorem 10.90s 3.30s
% Output : Refutation 10.90s
% Verified :
% SZS Type : Refutation
% Derivation depth : 6
% Number of leaves : 3
% Syntax : Number of formulae : 21 ( 12 unt; 0 typ; 0 def)
% Number of atoms : 42 ( 0 equ; 0 cnn)
% Maximal formula atoms : 7 ( 2 avg)
% Number of connectives : 437 ( 15 ~; 13 |; 2 &; 401 @)
% ( 0 <=>; 6 =>; 0 <=; 0 <~>)
% Maximal formula depth : 19 ( 11 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 0 ( 0 >; 0 *; 0 +; 0 <<)
% Number of symbols : 20 ( 19 usr; 11 con; 0-3 aty)
% Number of variables : 24 ( 0 ^; 20 !; 4 ?; 24 :)
% Comments :
%------------------------------------------------------------------------------
thf(v_Q_type,type,
v_Q: $i ).
thf(sk__18_type,type,
sk__18: $i ).
thf(v_Q_H_type,type,
v_Q_H: $i ).
thf(c_Set_Oinsert_type,type,
c_Set_Oinsert: $i > $i ).
thf(hBOOL_type,type,
hBOOL: $i > $o ).
thf(c_Hoare__Mirabelle_Ohoare__derivs_type,type,
c_Hoare__Mirabelle_Ohoare__derivs: $i > $i > $i > $o ).
thf(hAPP_type,type,
hAPP: $i > $i > $i ).
thf(v_G_type,type,
v_G: $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_P_H_type,type,
v_P_H: $i ).
thf(tc_Hoare__Mirabelle_Otriple_type,type,
tc_Hoare__Mirabelle_Otriple: $i > $i ).
thf(v_P_type,type,
v_P: $i ).
thf(sk__19_type,type,
sk__19: $i ).
thf(t_a_type,type,
t_a: $i ).
thf(v_c_type,type,
v_c: $i ).
thf(tc_fun_type,type,
tc_fun: $i > $i > $i ).
thf(sk__20_type,type,
sk__20: $i > $i > $i ).
thf(conj_2,conjecture,
! [B_Z: $i,B_s: $i] :
( ( ( hBOOL @ ( hAPP @ ( hAPP @ v_P @ B_Z ) @ B_s ) )
| ( hBOOL @ ( hAPP @ ( hAPP @ v_P_H @ B_Z ) @ B_s ) ) )
=> ? [B_P_H: $i,B_Q_H: $i] :
( ! [B_s_H: $i] :
( ! [B_Z_H: $i] :
( ( hBOOL @ ( hAPP @ ( hAPP @ B_P_H @ B_Z_H ) @ B_s ) )
=> ( hBOOL @ ( hAPP @ ( hAPP @ B_Q_H @ B_Z_H ) @ B_s_H ) ) )
=> ( ( hBOOL @ ( hAPP @ ( hAPP @ v_Q @ B_Z ) @ B_s_H ) )
| ( hBOOL @ ( hAPP @ ( hAPP @ v_Q_H @ B_Z ) @ B_s_H ) ) ) )
& ( c_Hoare__Mirabelle_Ohoare__derivs @ t_a @ v_G @ ( hAPP @ ( hAPP @ ( c_Set_Oinsert @ ( tc_Hoare__Mirabelle_Otriple @ t_a ) ) @ ( hAPP @ ( hAPP @ ( hAPP @ ( c_Hoare__Mirabelle_Otriple_Otriple @ t_a ) @ B_P_H ) @ v_c ) @ B_Q_H ) ) @ ( c_Orderings_Obot__class_Obot @ ( tc_fun @ ( tc_Hoare__Mirabelle_Otriple @ t_a ) @ tc_HOL_Obool ) ) ) ) ) ) ).
thf(zf_stmt_0,negated_conjecture,
~ ! [B_Z: $i,B_s: $i] :
( ( ( hBOOL @ ( hAPP @ ( hAPP @ v_P @ B_Z ) @ B_s ) )
| ( hBOOL @ ( hAPP @ ( hAPP @ v_P_H @ B_Z ) @ B_s ) ) )
=> ? [B_P_H: $i,B_Q_H: $i] :
( ! [B_s_H: $i] :
( ! [B_Z_H: $i] :
( ( hBOOL @ ( hAPP @ ( hAPP @ B_P_H @ B_Z_H ) @ B_s ) )
=> ( hBOOL @ ( hAPP @ ( hAPP @ B_Q_H @ B_Z_H ) @ B_s_H ) ) )
=> ( ( hBOOL @ ( hAPP @ ( hAPP @ v_Q @ B_Z ) @ B_s_H ) )
| ( hBOOL @ ( hAPP @ ( hAPP @ v_Q_H @ B_Z ) @ B_s_H ) ) ) )
& ( c_Hoare__Mirabelle_Ohoare__derivs @ t_a @ v_G @ ( hAPP @ ( hAPP @ ( c_Set_Oinsert @ ( tc_Hoare__Mirabelle_Otriple @ t_a ) ) @ ( hAPP @ ( hAPP @ ( hAPP @ ( c_Hoare__Mirabelle_Otriple_Otriple @ t_a ) @ B_P_H ) @ v_c ) @ B_Q_H ) ) @ ( c_Orderings_Obot__class_Obot @ ( tc_fun @ ( tc_Hoare__Mirabelle_Otriple @ t_a ) @ tc_HOL_Obool ) ) ) ) ) ),
inference('cnf.neg',[status(esa)],[conj_2]) ).
thf(zip_derived_cl151,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ ( hBOOL @ ( hAPP @ ( hAPP @ X1 @ X2 ) @ sk__19 ) )
| ( hBOOL @ ( hAPP @ ( hAPP @ X0 @ X2 ) @ ( sk__20 @ X0 @ X1 ) ) )
| ~ ( c_Hoare__Mirabelle_Ohoare__derivs @ t_a @ v_G @ ( hAPP @ ( hAPP @ ( c_Set_Oinsert @ ( tc_Hoare__Mirabelle_Otriple @ t_a ) ) @ ( hAPP @ ( hAPP @ ( hAPP @ ( c_Hoare__Mirabelle_Otriple_Otriple @ t_a ) @ X1 ) @ v_c ) @ X0 ) ) @ ( c_Orderings_Obot__class_Obot @ ( tc_fun @ ( tc_Hoare__Mirabelle_Otriple @ t_a ) @ tc_HOL_Obool ) ) ) ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(conj_1,axiom,
c_Hoare__Mirabelle_Ohoare__derivs @ t_a @ v_G @ ( hAPP @ ( hAPP @ ( c_Set_Oinsert @ ( tc_Hoare__Mirabelle_Otriple @ t_a ) ) @ ( hAPP @ ( hAPP @ ( hAPP @ ( c_Hoare__Mirabelle_Otriple_Otriple @ t_a ) @ v_P_H ) @ v_c ) @ v_Q_H ) ) @ ( c_Orderings_Obot__class_Obot @ ( tc_fun @ ( tc_Hoare__Mirabelle_Otriple @ t_a ) @ tc_HOL_Obool ) ) ) ).
thf(zip_derived_cl147,plain,
c_Hoare__Mirabelle_Ohoare__derivs @ t_a @ v_G @ ( hAPP @ ( hAPP @ ( c_Set_Oinsert @ ( tc_Hoare__Mirabelle_Otriple @ t_a ) ) @ ( hAPP @ ( hAPP @ ( hAPP @ ( c_Hoare__Mirabelle_Otriple_Otriple @ t_a ) @ v_P_H ) @ v_c ) @ v_Q_H ) ) @ ( c_Orderings_Obot__class_Obot @ ( tc_fun @ ( tc_Hoare__Mirabelle_Otriple @ t_a ) @ tc_HOL_Obool ) ) ),
inference(cnf,[status(esa)],[conj_1]) ).
thf(zip_derived_cl1152,plain,
! [X0: $i] :
( ( hBOOL @ ( hAPP @ ( hAPP @ v_Q_H @ X0 ) @ ( sk__20 @ v_Q_H @ v_P_H ) ) )
| ~ ( hBOOL @ ( hAPP @ ( hAPP @ v_P_H @ X0 ) @ sk__19 ) ) ),
inference('sup+',[status(thm)],[zip_derived_cl151,zip_derived_cl147]) ).
thf(zip_derived_cl147_001,plain,
c_Hoare__Mirabelle_Ohoare__derivs @ t_a @ v_G @ ( hAPP @ ( hAPP @ ( c_Set_Oinsert @ ( tc_Hoare__Mirabelle_Otriple @ t_a ) ) @ ( hAPP @ ( hAPP @ ( hAPP @ ( c_Hoare__Mirabelle_Otriple_Otriple @ t_a ) @ v_P_H ) @ v_c ) @ v_Q_H ) ) @ ( c_Orderings_Obot__class_Obot @ ( tc_fun @ ( tc_Hoare__Mirabelle_Otriple @ t_a ) @ tc_HOL_Obool ) ) ),
inference(cnf,[status(esa)],[conj_1]) ).
thf(zip_derived_cl149,plain,
! [X0: $i,X1: $i] :
( ~ ( hBOOL @ ( hAPP @ ( hAPP @ v_Q_H @ sk__18 ) @ ( sk__20 @ X0 @ X1 ) ) )
| ~ ( c_Hoare__Mirabelle_Ohoare__derivs @ t_a @ v_G @ ( hAPP @ ( hAPP @ ( c_Set_Oinsert @ ( tc_Hoare__Mirabelle_Otriple @ t_a ) ) @ ( hAPP @ ( hAPP @ ( hAPP @ ( c_Hoare__Mirabelle_Otriple_Otriple @ t_a ) @ X1 ) @ v_c ) @ X0 ) ) @ ( c_Orderings_Obot__class_Obot @ ( tc_fun @ ( tc_Hoare__Mirabelle_Otriple @ t_a ) @ tc_HOL_Obool ) ) ) ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl224,plain,
~ ( hBOOL @ ( hAPP @ ( hAPP @ v_Q_H @ sk__18 ) @ ( sk__20 @ v_Q_H @ v_P_H ) ) ),
inference('sup-',[status(thm)],[zip_derived_cl147,zip_derived_cl149]) ).
thf(zip_derived_cl2941,plain,
~ ( hBOOL @ ( hAPP @ ( hAPP @ v_P_H @ sk__18 ) @ sk__19 ) ),
inference('sup-',[status(thm)],[zip_derived_cl1152,zip_derived_cl224]) ).
thf(zip_derived_cl148,plain,
( ( hBOOL @ ( hAPP @ ( hAPP @ v_P @ sk__18 ) @ sk__19 ) )
| ( hBOOL @ ( hAPP @ ( hAPP @ v_P_H @ sk__18 ) @ sk__19 ) ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl151_002,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ ( hBOOL @ ( hAPP @ ( hAPP @ X1 @ X2 ) @ sk__19 ) )
| ( hBOOL @ ( hAPP @ ( hAPP @ X0 @ X2 ) @ ( sk__20 @ X0 @ X1 ) ) )
| ~ ( c_Hoare__Mirabelle_Ohoare__derivs @ t_a @ v_G @ ( hAPP @ ( hAPP @ ( c_Set_Oinsert @ ( tc_Hoare__Mirabelle_Otriple @ t_a ) ) @ ( hAPP @ ( hAPP @ ( hAPP @ ( c_Hoare__Mirabelle_Otriple_Otriple @ t_a ) @ X1 ) @ v_c ) @ X0 ) ) @ ( c_Orderings_Obot__class_Obot @ ( tc_fun @ ( tc_Hoare__Mirabelle_Otriple @ t_a ) @ tc_HOL_Obool ) ) ) ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(conj_0,axiom,
c_Hoare__Mirabelle_Ohoare__derivs @ t_a @ v_G @ ( hAPP @ ( hAPP @ ( c_Set_Oinsert @ ( tc_Hoare__Mirabelle_Otriple @ t_a ) ) @ ( hAPP @ ( hAPP @ ( hAPP @ ( c_Hoare__Mirabelle_Otriple_Otriple @ t_a ) @ v_P ) @ v_c ) @ v_Q ) ) @ ( c_Orderings_Obot__class_Obot @ ( tc_fun @ ( tc_Hoare__Mirabelle_Otriple @ t_a ) @ tc_HOL_Obool ) ) ) ).
thf(zip_derived_cl146,plain,
c_Hoare__Mirabelle_Ohoare__derivs @ t_a @ v_G @ ( hAPP @ ( hAPP @ ( c_Set_Oinsert @ ( tc_Hoare__Mirabelle_Otriple @ t_a ) ) @ ( hAPP @ ( hAPP @ ( hAPP @ ( c_Hoare__Mirabelle_Otriple_Otriple @ t_a ) @ v_P ) @ v_c ) @ v_Q ) ) @ ( c_Orderings_Obot__class_Obot @ ( tc_fun @ ( tc_Hoare__Mirabelle_Otriple @ t_a ) @ tc_HOL_Obool ) ) ),
inference(cnf,[status(esa)],[conj_0]) ).
thf(zip_derived_cl1151,plain,
! [X0: $i] :
( ( hBOOL @ ( hAPP @ ( hAPP @ v_Q @ X0 ) @ ( sk__20 @ v_Q @ v_P ) ) )
| ~ ( hBOOL @ ( hAPP @ ( hAPP @ v_P @ X0 ) @ sk__19 ) ) ),
inference('sup+',[status(thm)],[zip_derived_cl151,zip_derived_cl146]) ).
thf(zip_derived_cl146_003,plain,
c_Hoare__Mirabelle_Ohoare__derivs @ t_a @ v_G @ ( hAPP @ ( hAPP @ ( c_Set_Oinsert @ ( tc_Hoare__Mirabelle_Otriple @ t_a ) ) @ ( hAPP @ ( hAPP @ ( hAPP @ ( c_Hoare__Mirabelle_Otriple_Otriple @ t_a ) @ v_P ) @ v_c ) @ v_Q ) ) @ ( c_Orderings_Obot__class_Obot @ ( tc_fun @ ( tc_Hoare__Mirabelle_Otriple @ t_a ) @ tc_HOL_Obool ) ) ),
inference(cnf,[status(esa)],[conj_0]) ).
thf(zip_derived_cl150,plain,
! [X0: $i,X1: $i] :
( ~ ( hBOOL @ ( hAPP @ ( hAPP @ v_Q @ sk__18 ) @ ( sk__20 @ X0 @ X1 ) ) )
| ~ ( c_Hoare__Mirabelle_Ohoare__derivs @ t_a @ v_G @ ( hAPP @ ( hAPP @ ( c_Set_Oinsert @ ( tc_Hoare__Mirabelle_Otriple @ t_a ) ) @ ( hAPP @ ( hAPP @ ( hAPP @ ( c_Hoare__Mirabelle_Otriple_Otriple @ t_a ) @ X1 ) @ v_c ) @ X0 ) ) @ ( c_Orderings_Obot__class_Obot @ ( tc_fun @ ( tc_Hoare__Mirabelle_Otriple @ t_a ) @ tc_HOL_Obool ) ) ) ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl227,plain,
~ ( hBOOL @ ( hAPP @ ( hAPP @ v_Q @ sk__18 ) @ ( sk__20 @ v_Q @ v_P ) ) ),
inference('sup-',[status(thm)],[zip_derived_cl146,zip_derived_cl150]) ).
thf(zip_derived_cl2894,plain,
~ ( hBOOL @ ( hAPP @ ( hAPP @ v_P @ sk__18 ) @ sk__19 ) ),
inference('sup-',[status(thm)],[zip_derived_cl1151,zip_derived_cl227]) ).
thf(zip_derived_cl2895,plain,
hBOOL @ ( hAPP @ ( hAPP @ v_P_H @ sk__18 ) @ sk__19 ),
inference('sup-',[status(thm)],[zip_derived_cl148,zip_derived_cl2894]) ).
thf(zip_derived_cl2942,plain,
$false,
inference(demod,[status(thm)],[zip_derived_cl2941,zip_derived_cl2895]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.08 % Problem : SWW391+1 : TPTP v9.2.0. Released v5.2.0.
% 0.07/0.11 % Command : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.KxXg7srm5m true
% 0.07/0.32 % Computer : n012.cluster.edu
% 0.07/0.32 % Model : x86_64 x86_64
% 0.07/0.32 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.07/0.32 % Memory : 8042.1875MB
% 0.07/0.32 % OS : Linux 3.10.0-693.el7.x86_64
% 0.07/0.32 % CPULimit : 300
% 0.07/0.32 % WCLimit : 300
% 0.07/0.32 % DateTime : Wed Oct 1 12:05:08 EDT 2025
% 0.07/0.32 % CPUTime :
% 0.07/0.32 % Running portfolio for 300 s
% 0.07/0.32 % File : /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.07/0.33 % Number of cores: 8
% 0.07/0.34 % Python version: Python 3.6.8
% 0.07/0.35 % Running in FO mode
% 0.50/0.63 % Total configuration time : 435
% 0.50/0.63 % Estimated wc time : 1092
% 0.50/0.63 % Estimated cpu time (7 cpus) : 156.0
% 0.76/0.76 % /export/starexec/sandbox2/solver/bin/fo/fo6_bce.sh running for 75s
% 1.03/0.79 % /export/starexec/sandbox2/solver/bin/fo/fo3_bce.sh running for 75s
% 1.03/0.83 % /export/starexec/sandbox2/solver/bin/fo/fo1_av.sh running for 75s
% 1.03/0.83 % /export/starexec/sandbox2/solver/bin/fo/fo7.sh running for 63s
% 1.16/0.89 % /export/starexec/sandbox2/solver/bin/fo/fo13.sh running for 50s
% 1.16/0.91 % /export/starexec/sandbox2/solver/bin/fo/fo5.sh running for 50s
% 1.17/0.92 % /export/starexec/sandbox2/solver/bin/fo/fo4.sh running for 50s
% 10.90/3.30 % Solved by fo/fo4.sh.
% 10.90/3.30 % done 437 iterations in 2.267s
% 10.90/3.30 % SZS status Theorem for '/export/starexec/sandbox2/benchmark/theBenchmark.p'
% 10.90/3.30 % SZS output start Refutation
% See solution above
% 10.90/3.31
% 10.90/3.31
% 10.90/3.31 % Terminating...
% 10.92/3.45 % Runner terminated.
% 10.92/3.48 % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------