TSTP Solution File: SWW364+1 by Zipperpin---2.1.9999
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%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : SWW364+1 : TPTP v8.1.2. Released v5.2.0.
% Transfm : NO INFORMATION
% Format : NO INFORMATION
% Command : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.b7jBrVdMCM true
% Computer : n009.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 01:41:42 EDT 2023
% Result : Theorem 14.70s 2.84s
% Output : Refutation 14.70s
% Verified :
% SZS Type : Refutation
% Derivation depth : 6
% Number of leaves : 22
% Syntax : Number of formulae : 39 ( 16 unt; 15 typ; 0 def)
% Number of atoms : 34 ( 3 equ; 0 cnn)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 299 ( 11 ~; 6 |; 1 &; 278 @)
% ( 2 <=>; 1 =>; 0 <=; 0 <~>)
% Maximal formula depth : 16 ( 9 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 13 ( 13 >; 0 *; 0 +; 0 <<)
% Number of symbols : 17 ( 15 usr; 6 con; 0-2 aty)
% Number of variables : 31 ( 0 ^; 31 !; 0 ?; 31 :)
% 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(c_List_Olist_ONil_type,type,
c_List_Olist_ONil: $i > $i ).
thf(v_G_type,type,
v_G: $i ).
thf(hBOOL_type,type,
hBOOL: $i > $o ).
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(c_List_Oset_type,type,
c_List_Oset: $i > $i ).
thf(c_Set_Oinsert_type,type,
c_Set_Oinsert: $i > $i ).
thf(c_member_type,type,
c_member: $i > $i ).
thf(v_pn_type,type,
v_pn: $i ).
thf(tc_HOL_Obool_type,type,
tc_HOL_Obool: $i ).
thf(t_a_type,type,
t_a: $i ).
thf(v_mgt__call_type,type,
v_mgt__call: $i ).
thf(v_P_type,type,
v_P: $i > $i > $o ).
thf(fact_assms_I1_J,axiom,
! [V_G_2: $i,V_ts_2: $i] :
( ( hBOOL @ ( hAPP @ ( hAPP @ ( c_Orderings_Oord__class_Oless__eq @ ( tc_fun @ t_a @ tc_HOL_Obool ) ) @ V_ts_2 ) @ V_G_2 ) )
=> ( v_P @ V_G_2 @ V_ts_2 ) ) ).
thf(zip_derived_cl1,plain,
! [X0: $i,X1: $i] :
( ( v_P @ X0 @ X1 )
| ~ ( hBOOL @ ( hAPP @ ( hAPP @ ( c_Orderings_Oord__class_Oless__eq @ ( tc_fun @ t_a @ tc_HOL_Obool ) ) @ X1 ) @ X0 ) ) ),
inference(cnf,[status(esa)],[fact_assms_I1_J]) ).
thf(conj_7,conjecture,
v_P @ v_G @ ( 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 ) ) ) ).
thf(zf_stmt_0,negated_conjecture,
~ ( v_P @ v_G @ ( 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 ) ) ) ),
inference('cnf.neg',[status(esa)],[conj_7]) ).
thf(zip_derived_cl1458,plain,
~ ( v_P @ v_G @ ( 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 ) ) ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl2459,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('sup-',[status(thm)],[zip_derived_cl1,zip_derived_cl1458]) ).
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_cl1354,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_cl2500,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_cl2459,zip_derived_cl1354]) ).
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_cl103,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_cl6395,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_cl2500,zip_derived_cl103]) ).
thf(conj_6,axiom,
hBOOL @ ( hAPP @ ( hAPP @ ( c_member @ t_a ) @ ( hAPP @ v_mgt__call @ v_pn ) ) @ v_G ) ).
thf(zip_derived_cl1457,plain,
hBOOL @ ( hAPP @ ( hAPP @ ( c_member @ t_a ) @ ( hAPP @ v_mgt__call @ v_pn ) ) @ v_G ),
inference(cnf,[status(esa)],[conj_6]) ).
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_cl28,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_cl2552,plain,
hBOOL @ ( hAPP @ v_G @ ( hAPP @ v_mgt__call @ v_pn ) ),
inference('sup-',[status(thm)],[zip_derived_cl1457,zip_derived_cl28]) ).
thf(zip_derived_cl29,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_cl2601,plain,
! [X0: $i] : ( hBOOL @ ( hAPP @ ( hAPP @ ( c_member @ X0 ) @ ( hAPP @ v_mgt__call @ v_pn ) ) @ v_G ) ),
inference('sup-',[status(thm)],[zip_derived_cl2552,zip_derived_cl29]) ).
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_cl8,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_cl1354_001,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_cl2510,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_cl8,zip_derived_cl1354]) ).
thf(zip_derived_cl6407,plain,
$false,
inference(demod,[status(thm)],[zip_derived_cl6395,zip_derived_cl2601,zip_derived_cl2510]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.12/0.12 % Problem : SWW364+1 : TPTP v8.1.2. Released v5.2.0.
% 0.12/0.13 % Command : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.b7jBrVdMCM true
% 0.13/0.34 % Computer : n009.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % WCLimit : 300
% 0.13/0.34 % DateTime : Sun Aug 27 20:13:50 EDT 2023
% 0.13/0.34 % CPUTime :
% 0.13/0.34 % Running portfolio for 300 s
% 0.13/0.34 % 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
% 0.13/0.35 % Running in FO mode
% 0.54/0.65 % Total configuration time : 435
% 0.54/0.65 % Estimated wc time : 1092
% 0.54/0.65 % Estimated cpu time (7 cpus) : 156.0
% 0.54/0.69 % /export/starexec/sandbox2/solver/bin/fo/fo6_bce.sh running for 75s
% 0.54/0.72 % /export/starexec/sandbox2/solver/bin/fo/fo3_bce.sh running for 75s
% 0.54/0.72 % /export/starexec/sandbox2/solver/bin/fo/fo1_av.sh running for 75s
% 0.54/0.74 % /export/starexec/sandbox2/solver/bin/fo/fo7.sh running for 63s
% 0.54/0.74 % /export/starexec/sandbox2/solver/bin/fo/fo13.sh running for 50s
% 0.54/0.75 % /export/starexec/sandbox2/solver/bin/fo/fo5.sh running for 50s
% 0.54/0.75 % /export/starexec/sandbox2/solver/bin/fo/fo4.sh running for 50s
% 14.70/2.84 % Solved by fo/fo3_bce.sh.
% 14.70/2.84 % BCE start: 1459
% 14.70/2.84 % BCE eliminated: 68
% 14.70/2.84 % PE start: 1391
% 14.70/2.84 logic: eq
% 14.70/2.84 % PE eliminated: 16
% 14.70/2.84 % done 819 iterations in 2.105s
% 14.70/2.84 % SZS status Theorem for '/export/starexec/sandbox2/benchmark/theBenchmark.p'
% 14.70/2.84 % SZS output start Refutation
% See solution above
% 14.70/2.84
% 14.70/2.84
% 14.70/2.84 % Terminating...
% 15.33/2.96 % Runner terminated.
% 15.33/2.97 % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------