%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : SWW362+1 : TPTP v9.2.0. Released v5.2.0.
% Transfm : none
% Format : tptp:raw
% Command : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.144JjO4BgE 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 05:02:41 PM UTC 2025
% Result : Theorem 31.39s 5.06s
% Output : Refutation 31.39s
% Verified :
% SZS Type : Refutation
% Derivation depth : 9
% Number of leaves : 10
% Syntax : Number of formulae : 38 ( 30 unt; 0 typ; 0 def)
% Number of atoms : 48 ( 15 equ; 0 cnn)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 474 ( 12 ~; 6 |; 1 &; 452 @)
% ( 2 <=>; 1 =>; 0 <=; 0 <~>)
% Maximal formula depth : 16 ( 7 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 0 ( 0 >; 0 *; 0 +; 0 <<)
% Number of symbols : 19 ( 17 usr; 8 con; 0-3 aty)
% Number of variables : 51 ( 0 ^; 51 !; 0 ?; 51 :)
% Comments :
%------------------------------------------------------------------------------
thf(tc_fun_type,type,
tc_fun: $i > $i > $i ).
thf(c_Orderings_Obot__class_Obot_type,type,
c_Orderings_Obot__class_Obot: $i > $i ).
thf(v_pn_type,type,
v_pn: $i ).
thf(c_List_Oset_type,type,
c_List_Oset: $i > $i ).
thf(hBOOL_type,type,
hBOOL: $i > $o ).
thf(c_Set_Oimage_type,type,
c_Set_Oimage: $i > $i > $i > $i ).
thf(hAPP_type,type,
hAPP: $i > $i > $i ).
thf(c_Orderings_Oord__class_Oless__eq_type,type,
c_Orderings_Oord__class_Oless__eq: $i > $i ).
thf(v_G_type,type,
v_G: $i ).
thf(c_Set_Oinsert_type,type,
c_Set_Oinsert: $i > $i ).
thf(c_member_type,type,
c_member: $i > $i ).
thf(tc_Com_Opname_type,type,
tc_Com_Opname: $i ).
thf(v_mgt__call_type,type,
v_mgt__call: $i ).
thf(v_U_type,type,
v_U: $i ).
thf(tc_HOL_Obool_type,type,
tc_HOL_Obool: $i ).
thf(c_List_Olist_ONil_type,type,
c_List_Olist_ONil: $i > $i ).
thf(t_a_type,type,
t_a: $i ).
thf(conj_3,conjecture,
hBOOL @ ( hAPP @ ( hAPP @ ( c_Orderings_Oord__class_Oless__eq @ ( tc_fun @ t_a @ tc_HOL_Obool ) ) @ ( hAPP @ ( hAPP @ ( c_Set_Oinsert @ t_a ) @ ( hAPP @ v_mgt__call @ v_pn ) ) @ ( c_Orderings_Obot__class_Obot @ ( tc_fun @ t_a @ tc_HOL_Obool ) ) ) ) @ ( hAPP @ ( c_Set_Oimage @ tc_Com_Opname @ t_a @ v_mgt__call ) @ v_U ) ) ).
thf(zf_stmt_0,negated_conjecture,
~ ( hBOOL @ ( hAPP @ ( hAPP @ ( c_Orderings_Oord__class_Oless__eq @ ( tc_fun @ t_a @ tc_HOL_Obool ) ) @ ( hAPP @ ( hAPP @ ( c_Set_Oinsert @ t_a ) @ ( hAPP @ v_mgt__call @ v_pn ) ) @ ( c_Orderings_Obot__class_Obot @ ( tc_fun @ t_a @ tc_HOL_Obool ) ) ) ) @ ( hAPP @ ( c_Set_Oimage @ tc_Com_Opname @ t_a @ v_mgt__call ) @ v_U ) ) ),
inference('cnf.neg',[status(esa)],[conj_3]) ).
thf(zip_derived_cl2128,plain,
~ ( hBOOL @ ( hAPP @ ( hAPP @ ( c_Orderings_Oord__class_Oless__eq @ ( tc_fun @ t_a @ tc_HOL_Obool ) ) @ ( hAPP @ ( hAPP @ ( c_Set_Oinsert @ t_a ) @ ( hAPP @ v_mgt__call @ v_pn ) ) @ ( c_Orderings_Obot__class_Obot @ ( tc_fun @ t_a @ tc_HOL_Obool ) ) ) ) @ ( hAPP @ ( c_Set_Oimage @ tc_Com_Opname @ t_a @ v_mgt__call ) @ v_U ) ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(conj_1,axiom,
( v_G
= ( hAPP @ ( c_Set_Oimage @ tc_Com_Opname @ t_a @ v_mgt__call ) @ v_U ) ) ).
thf(zip_derived_cl2126,plain,
( v_G
= ( hAPP @ ( c_Set_Oimage @ tc_Com_Opname @ t_a @ v_mgt__call ) @ v_U ) ),
inference(cnf,[status(esa)],[conj_1]) ).
thf(zip_derived_cl3772,plain,
~ ( hBOOL @ ( hAPP @ ( hAPP @ ( c_Orderings_Oord__class_Oless__eq @ ( tc_fun @ t_a @ tc_HOL_Obool ) ) @ ( hAPP @ ( hAPP @ ( c_Set_Oinsert @ t_a ) @ ( hAPP @ v_mgt__call @ v_pn ) ) @ ( c_Orderings_Obot__class_Obot @ ( tc_fun @ t_a @ tc_HOL_Obool ) ) ) ) @ v_G ) ),
inference(demod,[status(thm)],[zip_derived_cl2128,zip_derived_cl2126]) ).
thf(fact_List_Oset_Osimps_I1_J,axiom,
! [T_b: $i] :
( ( hAPP @ ( c_List_Oset @ T_b ) @ ( c_List_Olist_ONil @ T_b ) )
= ( c_Orderings_Obot__class_Obot @ ( tc_fun @ T_b @ tc_HOL_Obool ) ) ) ).
thf(zip_derived_cl1928,plain,
! [X0: $i] :
( ( hAPP @ ( c_List_Oset @ X0 ) @ ( c_List_Olist_ONil @ X0 ) )
= ( c_Orderings_Obot__class_Obot @ ( tc_fun @ X0 @ tc_HOL_Obool ) ) ),
inference(cnf,[status(esa)],[fact_List_Oset_Osimps_I1_J]) ).
thf(zip_derived_cl3879,plain,
~ ( hBOOL @ ( hAPP @ ( hAPP @ ( c_Orderings_Oord__class_Oless__eq @ ( tc_fun @ t_a @ tc_HOL_Obool ) ) @ ( hAPP @ ( hAPP @ ( c_Set_Oinsert @ t_a ) @ ( hAPP @ v_mgt__call @ v_pn ) ) @ ( hAPP @ ( c_List_Oset @ t_a ) @ ( c_List_Olist_ONil @ t_a ) ) ) ) @ v_G ) ),
inference(demod,[status(thm)],[zip_derived_cl3772,zip_derived_cl1928]) ).
thf(fact_insert__subset,axiom,
! [V_B_2: $i,V_A_2: $i,V_x_2: $i,T_b: $i] :
( ( hBOOL @ ( hAPP @ ( hAPP @ ( c_Orderings_Oord__class_Oless__eq @ ( tc_fun @ T_b @ tc_HOL_Obool ) ) @ ( hAPP @ ( hAPP @ ( c_Set_Oinsert @ T_b ) @ V_x_2 ) @ V_A_2 ) ) @ V_B_2 ) )
<=> ( ( hBOOL @ ( hAPP @ ( hAPP @ ( c_member @ T_b ) @ V_x_2 ) @ V_B_2 ) )
& ( hBOOL @ ( hAPP @ ( hAPP @ ( c_Orderings_Oord__class_Oless__eq @ ( tc_fun @ T_b @ tc_HOL_Obool ) ) @ V_A_2 ) @ V_B_2 ) ) ) ) ).
thf(zip_derived_cl99,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( hBOOL @ ( hAPP @ ( hAPP @ ( c_Orderings_Oord__class_Oless__eq @ ( tc_fun @ X0 @ tc_HOL_Obool ) ) @ ( hAPP @ ( hAPP @ ( c_Set_Oinsert @ X0 ) @ X1 ) @ X2 ) ) @ X3 ) )
| ~ ( hBOOL @ ( hAPP @ ( hAPP @ ( c_Orderings_Oord__class_Oless__eq @ ( tc_fun @ X0 @ tc_HOL_Obool ) ) @ X2 ) @ X3 ) )
| ~ ( hBOOL @ ( hAPP @ ( hAPP @ ( c_member @ X0 ) @ X1 ) @ X3 ) ) ),
inference(cnf,[status(esa)],[fact_insert__subset]) ).
thf(zip_derived_cl8136,plain,
( ~ ( hBOOL @ ( hAPP @ ( hAPP @ ( c_member @ t_a ) @ ( hAPP @ v_mgt__call @ v_pn ) ) @ v_G ) )
| ~ ( hBOOL @ ( hAPP @ ( hAPP @ ( c_Orderings_Oord__class_Oless__eq @ ( tc_fun @ t_a @ tc_HOL_Obool ) ) @ ( hAPP @ ( c_List_Oset @ t_a ) @ ( c_List_Olist_ONil @ t_a ) ) ) @ v_G ) ) ),
inference('sup+',[status(thm)],[zip_derived_cl3879,zip_derived_cl99]) ).
thf(fact_insert__absorb,axiom,
! [V_A_2: $i,V_a_2: $i,T_b: $i] :
( ( hBOOL @ ( hAPP @ ( hAPP @ ( c_member @ T_b ) @ V_a_2 ) @ V_A_2 ) )
=> ( ( hAPP @ ( hAPP @ ( c_Set_Oinsert @ T_b ) @ V_a_2 ) @ V_A_2 )
= V_A_2 ) ) ).
thf(zip_derived_cl47,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( ( hAPP @ ( hAPP @ ( c_Set_Oinsert @ X1 ) @ X2 ) @ X0 )
= X0 )
| ~ ( hBOOL @ ( hAPP @ ( hAPP @ ( c_member @ X1 ) @ X2 ) @ X0 ) ) ),
inference(cnf,[status(esa)],[fact_insert__absorb]) ).
thf(conj_2,axiom,
hBOOL @ ( hAPP @ ( hAPP @ ( c_member @ tc_Com_Opname ) @ v_pn ) @ v_U ) ).
thf(zip_derived_cl2127,plain,
hBOOL @ ( hAPP @ ( hAPP @ ( c_member @ tc_Com_Opname ) @ v_pn ) @ v_U ),
inference(cnf,[status(esa)],[conj_2]) ).
thf(fact_mem__def,axiom,
! [V_A_2: $i,V_x_2: $i,T_b: $i] :
( ( hBOOL @ ( hAPP @ ( hAPP @ ( c_member @ T_b ) @ V_x_2 ) @ V_A_2 ) )
<=> ( hBOOL @ ( hAPP @ V_A_2 @ V_x_2 ) ) ) ).
thf(zip_derived_cl25,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( hBOOL @ ( hAPP @ X0 @ X1 ) )
| ~ ( hBOOL @ ( hAPP @ ( hAPP @ ( c_member @ X2 ) @ X1 ) @ X0 ) ) ),
inference(cnf,[status(esa)],[fact_mem__def]) ).
thf(zip_derived_cl3961,plain,
hBOOL @ ( hAPP @ v_U @ v_pn ),
inference('sup-',[status(thm)],[zip_derived_cl2127,zip_derived_cl25]) ).
thf(zip_derived_cl26,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( hBOOL @ ( hAPP @ ( hAPP @ ( c_member @ X0 ) @ X1 ) @ X2 ) )
| ~ ( hBOOL @ ( hAPP @ X2 @ X1 ) ) ),
inference(cnf,[status(esa)],[fact_mem__def]) ).
thf(zip_derived_cl4026,plain,
! [X0: $i] : ( hBOOL @ ( hAPP @ ( hAPP @ ( c_member @ X0 ) @ v_pn ) @ v_U ) ),
inference('sup-',[status(thm)],[zip_derived_cl3961,zip_derived_cl26]) ).
thf(zip_derived_cl4774,plain,
! [X0: $i] :
( ( hAPP @ ( hAPP @ ( c_Set_Oinsert @ X0 ) @ v_pn ) @ v_U )
= v_U ),
inference('sup+',[status(thm)],[zip_derived_cl47,zip_derived_cl4026]) ).
thf(zip_derived_cl2126_001,plain,
( v_G
= ( hAPP @ ( c_Set_Oimage @ tc_Com_Opname @ t_a @ v_mgt__call ) @ v_U ) ),
inference(cnf,[status(esa)],[conj_1]) ).
thf(fact_image__insert,axiom,
! [V_B_2: $i,V_a_2: $i,V_f_2: $i,T_b: $i,T_c: $i] :
( ( hAPP @ ( c_Set_Oimage @ T_c @ T_b @ V_f_2 ) @ ( hAPP @ ( hAPP @ ( c_Set_Oinsert @ T_c ) @ V_a_2 ) @ V_B_2 ) )
= ( hAPP @ ( hAPP @ ( c_Set_Oinsert @ T_b ) @ ( hAPP @ V_f_2 @ V_a_2 ) ) @ ( hAPP @ ( c_Set_Oimage @ T_c @ T_b @ V_f_2 ) @ V_B_2 ) ) ) ).
thf(zip_derived_cl87,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( ( hAPP @ ( c_Set_Oimage @ X3 @ X0 @ X1 ) @ ( hAPP @ ( hAPP @ ( c_Set_Oinsert @ X3 ) @ X2 ) @ X4 ) )
= ( hAPP @ ( hAPP @ ( c_Set_Oinsert @ X0 ) @ ( hAPP @ X1 @ X2 ) ) @ ( hAPP @ ( c_Set_Oimage @ X3 @ X0 @ X1 ) @ X4 ) ) ),
inference(cnf,[status(esa)],[fact_image__insert]) ).
thf(zip_derived_cl6626,plain,
! [X0: $i] :
( ( hAPP @ ( c_Set_Oimage @ tc_Com_Opname @ t_a @ v_mgt__call ) @ ( hAPP @ ( hAPP @ ( c_Set_Oinsert @ tc_Com_Opname ) @ X0 ) @ v_U ) )
= ( hAPP @ ( hAPP @ ( c_Set_Oinsert @ t_a ) @ ( hAPP @ v_mgt__call @ X0 ) ) @ v_G ) ),
inference('sup+',[status(thm)],[zip_derived_cl2126,zip_derived_cl87]) ).
thf(zip_derived_cl6998,plain,
( ( hAPP @ ( c_Set_Oimage @ tc_Com_Opname @ t_a @ v_mgt__call ) @ v_U )
= ( hAPP @ ( hAPP @ ( c_Set_Oinsert @ t_a ) @ ( hAPP @ v_mgt__call @ v_pn ) ) @ v_G ) ),
inference('sup+',[status(thm)],[zip_derived_cl4774,zip_derived_cl6626]) ).
thf(zip_derived_cl2126_002,plain,
( v_G
= ( hAPP @ ( c_Set_Oimage @ tc_Com_Opname @ t_a @ v_mgt__call ) @ v_U ) ),
inference(cnf,[status(esa)],[conj_1]) ).
thf(zip_derived_cl7000,plain,
( v_G
= ( hAPP @ ( hAPP @ ( c_Set_Oinsert @ t_a ) @ ( hAPP @ v_mgt__call @ v_pn ) ) @ v_G ) ),
inference(demod,[status(thm)],[zip_derived_cl6998,zip_derived_cl2126]) ).
thf(fact_insertI1,axiom,
! [V_B_2: $i,V_a_2: $i,T_b: $i] : ( hBOOL @ ( hAPP @ ( hAPP @ ( c_member @ T_b ) @ V_a_2 ) @ ( hAPP @ ( hAPP @ ( c_Set_Oinsert @ T_b ) @ V_a_2 ) @ V_B_2 ) ) ) ).
thf(zip_derived_cl54,plain,
! [X0: $i,X1: $i,X2: $i] : ( hBOOL @ ( hAPP @ ( hAPP @ ( c_member @ X0 ) @ X1 ) @ ( hAPP @ ( hAPP @ ( c_Set_Oinsert @ X0 ) @ X1 ) @ X2 ) ) ),
inference(cnf,[status(esa)],[fact_insertI1]) ).
thf(zip_derived_cl7013,plain,
hBOOL @ ( hAPP @ ( hAPP @ ( c_member @ t_a ) @ ( hAPP @ v_mgt__call @ v_pn ) ) @ v_G ),
inference('sup+',[status(thm)],[zip_derived_cl7000,zip_derived_cl54]) ).
thf(zip_derived_cl8149,plain,
~ ( hBOOL @ ( hAPP @ ( hAPP @ ( c_Orderings_Oord__class_Oless__eq @ ( tc_fun @ t_a @ tc_HOL_Obool ) ) @ ( hAPP @ ( c_List_Oset @ t_a ) @ ( c_List_Olist_ONil @ t_a ) ) ) @ v_G ) ),
inference(demod,[status(thm)],[zip_derived_cl8136,zip_derived_cl7013]) ).
thf(fact_empty__subsetI,axiom,
! [V_A_2: $i,T_b: $i] : ( hBOOL @ ( hAPP @ ( hAPP @ ( c_Orderings_Oord__class_Oless__eq @ ( tc_fun @ T_b @ tc_HOL_Obool ) ) @ ( c_Orderings_Obot__class_Obot @ ( tc_fun @ T_b @ tc_HOL_Obool ) ) ) @ V_A_2 ) ) ).
thf(zip_derived_cl3,plain,
! [X0: $i,X1: $i] : ( hBOOL @ ( hAPP @ ( hAPP @ ( c_Orderings_Oord__class_Oless__eq @ ( tc_fun @ X0 @ tc_HOL_Obool ) ) @ ( c_Orderings_Obot__class_Obot @ ( tc_fun @ X0 @ tc_HOL_Obool ) ) ) @ X1 ) ),
inference(cnf,[status(esa)],[fact_empty__subsetI]) ).
thf(zip_derived_cl1928_003,plain,
! [X0: $i] :
( ( hAPP @ ( c_List_Oset @ X0 ) @ ( c_List_Olist_ONil @ X0 ) )
= ( c_Orderings_Obot__class_Obot @ ( tc_fun @ X0 @ tc_HOL_Obool ) ) ),
inference(cnf,[status(esa)],[fact_List_Oset_Osimps_I1_J]) ).
thf(zip_derived_cl3872,plain,
! [X0: $i,X1: $i] : ( hBOOL @ ( hAPP @ ( hAPP @ ( c_Orderings_Oord__class_Oless__eq @ ( tc_fun @ X0 @ tc_HOL_Obool ) ) @ ( hAPP @ ( c_List_Oset @ X0 ) @ ( c_List_Olist_ONil @ X0 ) ) ) @ X1 ) ),
inference(demod,[status(thm)],[zip_derived_cl3,zip_derived_cl1928]) ).
thf(zip_derived_cl17695,plain,
$false,
inference(demod,[status(thm)],[zip_derived_cl8149,zip_derived_cl3872]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.12 % Problem : SWW362+1 : TPTP v9.2.0. Released v5.2.0.
% 0.06/0.13 % Command : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.144JjO4BgE true
% 0.14/0.33 % Computer : n004.cluster.edu
% 0.14/0.33 % Model : x86_64 x86_64
% 0.14/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.33 % Memory : 8042.1875MB
% 0.14/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.33 % CPULimit : 300
% 0.14/0.33 % WCLimit : 300
% 0.14/0.33 % DateTime : Wed Oct 1 12:04:53 EDT 2025
% 0.14/0.33 % CPUTime :
% 0.14/0.33 % Running portfolio for 300 s
% 0.14/0.33 % File : /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.14/0.33 % Number of cores: 8
% 0.14/0.34 % Python version: Python 3.6.8
% 0.14/0.34 % Running in FO mode
% 0.44/0.63 % Total configuration time : 435
% 0.44/0.63 % Estimated wc time : 1092
% 0.44/0.63 % Estimated cpu time (7 cpus) : 156.0
% 0.56/0.69 % /export/starexec/sandbox/solver/bin/fo/fo6_bce.sh running for 75s
% 0.56/0.74 % /export/starexec/sandbox/solver/bin/fo/fo3_bce.sh running for 75s
% 0.56/0.75 % /export/starexec/sandbox/solver/bin/fo/fo7.sh running for 63s
% 0.56/0.75 % /export/starexec/sandbox/solver/bin/fo/fo1_av.sh running for 75s
% 0.56/0.75 % /export/starexec/sandbox/solver/bin/fo/fo5.sh running for 50s
% 0.58/0.75 % /export/starexec/sandbox/solver/bin/fo/fo13.sh running for 50s
% 0.58/0.75 % /export/starexec/sandbox/solver/bin/fo/fo4.sh running for 50s
% 31.39/5.06 % Solved by fo/fo3_bce.sh.
% 31.39/5.06 % BCE start: 2129
% 31.39/5.06 % BCE eliminated: 103
% 31.39/5.06 % PE start: 2026
% 31.39/5.06 logic: eq
% 31.39/5.06 % PE eliminated: 20
% 31.39/5.06 % done 1408 iterations in 4.301s
% 31.39/5.06 % SZS status Theorem for '/export/starexec/sandbox/benchmark/theBenchmark.p'
% 31.39/5.06 % SZS output start Refutation
% See solution above
% 31.39/5.06
% 31.39/5.06
% 31.39/5.06 % Terminating...
% 31.88/5.15 % Runner terminated.
% 31.88/5.16 % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------