TSTP Solution File: SWW190+1 by Zipperpin---2.1.9999
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%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : SWW190+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.P1H9V01JQT 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 : Fri Sep 1 01:41:07 EDT 2023
% Result : Theorem 12.46s 2.42s
% Output : Refutation 12.46s
% Verified :
% SZS Type : Refutation
% Derivation depth : 15
% Number of leaves : 27
% Syntax : Number of formulae : 57 ( 19 unt; 17 typ; 0 def)
% Number of atoms : 70 ( 16 equ; 0 cnn)
% Maximal formula atoms : 4 ( 1 avg)
% Number of connectives : 339 ( 26 ~; 22 |; 0 &; 283 @)
% ( 2 <=>; 6 =>; 0 <=; 0 <~>)
% Maximal formula depth : 14 ( 8 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 27 ( 27 >; 0 *; 0 +; 0 <<)
% Number of symbols : 19 ( 17 usr; 5 con; 0-3 aty)
% Number of variables : 69 ( 0 ^; 66 !; 3 ?; 69 :)
% Comments :
%------------------------------------------------------------------------------
thf(tc_RealDef_Oreal_type,type,
tc_RealDef_Oreal: $i ).
thf(sk__type,type,
sk_: $i > $i > $i ).
thf(sk__2_type,type,
sk__2: $i ).
thf(hAPP_type,type,
hAPP: $i > $i > $i ).
thf(sk__16_type,type,
sk__16: $i > $i > $i > $i ).
thf(class_Orderings_Oord_type,type,
class_Orderings_Oord: $i > $o ).
thf(c_Lubs_OisUb_type,type,
c_Lubs_OisUb: $i > $i > $i > $i ).
thf(c_Orderings_Otop__class_Otop_type,type,
c_Orderings_Otop__class_Otop: $i > $i ).
thf(class_Orderings_Otop_type,type,
class_Orderings_Otop: $i > $o ).
thf(c_member_type,type,
c_member: $i > $i > $i > $o ).
thf(tc_fun_type,type,
tc_fun: $i > $i > $i ).
thf(c_Set_OCollect_type,type,
c_Set_OCollect: $i > $i > $i ).
thf(c_Orderings_Oord__class_Oless_type,type,
c_Orderings_Oord__class_Oless: $i > $i > $i > $o ).
thf(tc_HOL_Obool_type,type,
tc_HOL_Obool: $i ).
thf(hBOOL_type,type,
hBOOL: $i > $o ).
thf(v_P_type,type,
v_P: $i ).
thf(c_Orderings_Oord__class_Oless__eq_type,type,
c_Orderings_Oord__class_Oless__eq: $i > $i > $i > $o ).
thf(fact_isUb__UNIV__I,axiom,
! [V_u_2: $i,V_S_2: $i,T_a: $i] :
( ( class_Orderings_Oord @ T_a )
=> ( ! [B_y: $i] :
( ( c_member @ T_a @ B_y @ V_S_2 )
=> ( c_Orderings_Oord__class_Oless__eq @ T_a @ B_y @ V_u_2 ) )
=> ( hBOOL @ ( hAPP @ ( c_Lubs_OisUb @ T_a @ ( c_Orderings_Otop__class_Otop @ ( tc_fun @ T_a @ tc_HOL_Obool ) ) @ V_S_2 ) @ V_u_2 ) ) ) ) ).
thf(zip_derived_cl168,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( c_member @ X0 @ ( sk__16 @ X0 @ X1 @ X2 ) @ X1 )
| ( hBOOL @ ( hAPP @ ( c_Lubs_OisUb @ X0 @ ( c_Orderings_Otop__class_Otop @ ( tc_fun @ X0 @ tc_HOL_Obool ) ) @ X1 ) @ X2 ) )
| ~ ( class_Orderings_Oord @ X0 ) ),
inference(cnf,[status(esa)],[fact_isUb__UNIV__I]) ).
thf(fact_top__apply,axiom,
! [V_xa_2: $i,T_b: $i,T_a: $i] :
( ( class_Orderings_Otop @ T_a )
=> ( ( hAPP @ ( c_Orderings_Otop__class_Otop @ ( tc_fun @ T_b @ T_a ) ) @ V_xa_2 )
= ( c_Orderings_Otop__class_Otop @ T_a ) ) ) ).
thf(zip_derived_cl5,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( ( hAPP @ ( c_Orderings_Otop__class_Otop @ ( tc_fun @ X1 @ X0 ) ) @ X2 )
= ( c_Orderings_Otop__class_Otop @ X0 ) )
| ~ ( class_Orderings_Otop @ X0 ) ),
inference(cnf,[status(esa)],[fact_top__apply]) ).
thf(zip_derived_cl5_001,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( ( hAPP @ ( c_Orderings_Otop__class_Otop @ ( tc_fun @ X1 @ X0 ) ) @ X2 )
= ( c_Orderings_Otop__class_Otop @ X0 ) )
| ~ ( class_Orderings_Otop @ X0 ) ),
inference(cnf,[status(esa)],[fact_top__apply]) ).
thf(fact_ext,axiom,
! [V_g_2: $i,V_f_2: $i] :
( ! [B_x: $i] :
( ( hAPP @ V_f_2 @ B_x )
= ( hAPP @ V_g_2 @ B_x ) )
=> ( V_f_2 = V_g_2 ) ) ).
thf(zip_derived_cl0,plain,
! [X0: $i,X1: $i] :
( ( X1 = X0 )
| ( ( hAPP @ X1 @ ( sk_ @ X1 @ X0 ) )
!= ( hAPP @ X0 @ ( sk_ @ X1 @ X0 ) ) ) ),
inference(cnf,[status(esa)],[fact_ext]) ).
thf(zip_derived_cl1589,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( ( hAPP @ X2 @ ( sk_ @ X2 @ ( c_Orderings_Otop__class_Otop @ ( tc_fun @ X1 @ X0 ) ) ) )
!= ( c_Orderings_Otop__class_Otop @ X0 ) )
| ~ ( class_Orderings_Otop @ X0 )
| ( X2
= ( c_Orderings_Otop__class_Otop @ ( tc_fun @ X1 @ X0 ) ) ) ),
inference('sup-',[status(thm)],[zip_derived_cl5,zip_derived_cl0]) ).
thf(zip_derived_cl1593,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( ( c_Orderings_Otop__class_Otop @ X0 )
!= ( c_Orderings_Otop__class_Otop @ X1 ) )
| ~ ( class_Orderings_Otop @ X0 )
| ( ( c_Orderings_Otop__class_Otop @ ( tc_fun @ X3 @ X0 ) )
= ( c_Orderings_Otop__class_Otop @ ( tc_fun @ X2 @ X1 ) ) )
| ~ ( class_Orderings_Otop @ X1 ) ),
inference('sup-',[status(thm)],[zip_derived_cl5,zip_derived_cl1589]) ).
thf(zip_derived_cl1594,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ ( class_Orderings_Otop @ X0 )
| ( ( c_Orderings_Otop__class_Otop @ ( tc_fun @ X1 @ X0 ) )
= ( c_Orderings_Otop__class_Otop @ ( tc_fun @ X2 @ X0 ) ) )
| ~ ( class_Orderings_Otop @ X0 ) ),
inference(eq_res,[status(thm)],[zip_derived_cl1593]) ).
thf(zip_derived_cl1595,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( ( c_Orderings_Otop__class_Otop @ ( tc_fun @ X1 @ X0 ) )
= ( c_Orderings_Otop__class_Otop @ ( tc_fun @ X2 @ X0 ) ) )
| ~ ( class_Orderings_Otop @ X0 ) ),
inference(simplify,[status(thm)],[zip_derived_cl1594]) ).
thf(conj_0,conjecture,
? [B_x1: $i] : ( hBOOL @ ( hAPP @ ( c_Lubs_OisUb @ tc_RealDef_Oreal @ ( c_Orderings_Otop__class_Otop @ ( tc_fun @ tc_RealDef_Oreal @ tc_HOL_Obool ) ) @ ( c_Set_OCollect @ tc_RealDef_Oreal @ v_P ) ) @ B_x1 ) ) ).
thf(zf_stmt_0,negated_conjecture,
~ ? [B_x1: $i] : ( hBOOL @ ( hAPP @ ( c_Lubs_OisUb @ tc_RealDef_Oreal @ ( c_Orderings_Otop__class_Otop @ ( tc_fun @ tc_RealDef_Oreal @ tc_HOL_Obool ) ) @ ( c_Set_OCollect @ tc_RealDef_Oreal @ v_P ) ) @ B_x1 ) ),
inference('cnf.neg',[status(esa)],[conj_0]) ).
thf(zip_derived_cl1585,plain,
! [X0: $i] :
~ ( hBOOL @ ( hAPP @ ( c_Lubs_OisUb @ tc_RealDef_Oreal @ ( c_Orderings_Otop__class_Otop @ ( tc_fun @ tc_RealDef_Oreal @ tc_HOL_Obool ) ) @ ( c_Set_OCollect @ tc_RealDef_Oreal @ v_P ) ) @ X0 ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(fact_Collect__def,axiom,
! [V_Pa_2: $i,T_a: $i] :
( ( c_Set_OCollect @ T_a @ V_Pa_2 )
= V_Pa_2 ) ).
thf(zip_derived_cl8,plain,
! [X0: $i,X1: $i] :
( ( c_Set_OCollect @ X1 @ X0 )
= X0 ),
inference(cnf,[status(esa)],[fact_Collect__def]) ).
thf(zip_derived_cl1701,plain,
! [X0: $i] :
~ ( hBOOL @ ( hAPP @ ( c_Lubs_OisUb @ tc_RealDef_Oreal @ ( c_Orderings_Otop__class_Otop @ ( tc_fun @ tc_RealDef_Oreal @ tc_HOL_Obool ) ) @ v_P ) @ X0 ) ),
inference(demod,[status(thm)],[zip_derived_cl1585,zip_derived_cl8]) ).
thf(zip_derived_cl1703,plain,
! [X0: $i,X1: $i] :
( ~ ( hBOOL @ ( hAPP @ ( c_Lubs_OisUb @ tc_RealDef_Oreal @ ( c_Orderings_Otop__class_Otop @ ( tc_fun @ X0 @ tc_HOL_Obool ) ) @ v_P ) @ X1 ) )
| ~ ( class_Orderings_Otop @ tc_HOL_Obool ) ),
inference('sup-',[status(thm)],[zip_derived_cl1595,zip_derived_cl1701]) ).
thf(arity_HOL__Obool__Orderings_Otop,axiom,
class_Orderings_Otop @ tc_HOL_Obool ).
thf(zip_derived_cl1512,plain,
class_Orderings_Otop @ tc_HOL_Obool,
inference(cnf,[status(esa)],[arity_HOL__Obool__Orderings_Otop]) ).
thf(zip_derived_cl1706,plain,
! [X0: $i,X1: $i] :
~ ( hBOOL @ ( hAPP @ ( c_Lubs_OisUb @ tc_RealDef_Oreal @ ( c_Orderings_Otop__class_Otop @ ( tc_fun @ X0 @ tc_HOL_Obool ) ) @ v_P ) @ X1 ) ),
inference(demod,[status(thm)],[zip_derived_cl1703,zip_derived_cl1512]) ).
thf(zip_derived_cl11168,plain,
! [X0: $i] :
( ~ ( class_Orderings_Oord @ tc_RealDef_Oreal )
| ( c_member @ tc_RealDef_Oreal @ ( sk__16 @ tc_RealDef_Oreal @ v_P @ X0 ) @ v_P ) ),
inference('sup-',[status(thm)],[zip_derived_cl168,zip_derived_cl1706]) ).
thf(arity_RealDef__Oreal__Orderings_Oord,axiom,
class_Orderings_Oord @ tc_RealDef_Oreal ).
thf(zip_derived_cl1576,plain,
class_Orderings_Oord @ tc_RealDef_Oreal,
inference(cnf,[status(esa)],[arity_RealDef__Oreal__Orderings_Oord]) ).
thf(zip_derived_cl11185,plain,
! [X0: $i] : ( c_member @ tc_RealDef_Oreal @ ( sk__16 @ tc_RealDef_Oreal @ v_P @ X0 ) @ v_P ),
inference(demod,[status(thm)],[zip_derived_cl11168,zip_derived_cl1576]) ).
thf(fact_mem__def,axiom,
! [V_A_2: $i,V_xa_2: $i,T_a: $i] :
( ( c_member @ T_a @ V_xa_2 @ V_A_2 )
<=> ( hBOOL @ ( hAPP @ V_A_2 @ V_xa_2 ) ) ) ).
thf(zip_derived_cl29,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( hBOOL @ ( hAPP @ X0 @ X1 ) )
| ~ ( c_member @ X2 @ X1 @ X0 ) ),
inference(cnf,[status(esa)],[fact_mem__def]) ).
thf(zip_derived_cl11193,plain,
! [X0: $i] : ( hBOOL @ ( hAPP @ v_P @ ( sk__16 @ tc_RealDef_Oreal @ v_P @ X0 ) ) ),
inference('sup-',[status(thm)],[zip_derived_cl11185,zip_derived_cl29]) ).
thf(fact_bz,axiom,
? [B_z: $i] :
! [B_x: $i] :
( ( hBOOL @ ( hAPP @ v_P @ B_x ) )
=> ( c_Orderings_Oord__class_Oless @ tc_RealDef_Oreal @ B_x @ B_z ) ) ).
thf(zip_derived_cl3,plain,
! [X0: $i] :
( ( c_Orderings_Oord__class_Oless @ tc_RealDef_Oreal @ X0 @ sk__2 )
| ~ ( hBOOL @ ( hAPP @ v_P @ X0 ) ) ),
inference(cnf,[status(esa)],[fact_bz]) ).
thf(zip_derived_cl11207,plain,
! [X0: $i] : ( c_Orderings_Oord__class_Oless @ tc_RealDef_Oreal @ ( sk__16 @ tc_RealDef_Oreal @ v_P @ X0 ) @ sk__2 ),
inference('sup-',[status(thm)],[zip_derived_cl11193,zip_derived_cl3]) ).
thf(fact_less__eq__real__def,axiom,
! [V_y_2: $i,V_xa_2: $i] :
( ( c_Orderings_Oord__class_Oless__eq @ tc_RealDef_Oreal @ V_xa_2 @ V_y_2 )
<=> ( ( c_Orderings_Oord__class_Oless @ tc_RealDef_Oreal @ V_xa_2 @ V_y_2 )
| ( V_xa_2 = V_y_2 ) ) ) ).
thf(zip_derived_cl170,plain,
! [X0: $i,X1: $i] :
( ( c_Orderings_Oord__class_Oless__eq @ tc_RealDef_Oreal @ X0 @ X1 )
| ~ ( c_Orderings_Oord__class_Oless @ tc_RealDef_Oreal @ X0 @ X1 ) ),
inference(cnf,[status(esa)],[fact_less__eq__real__def]) ).
thf(zip_derived_cl11253,plain,
! [X0: $i] : ( c_Orderings_Oord__class_Oless__eq @ tc_RealDef_Oreal @ ( sk__16 @ tc_RealDef_Oreal @ v_P @ X0 ) @ sk__2 ),
inference('sup-',[status(thm)],[zip_derived_cl11207,zip_derived_cl170]) ).
thf(zip_derived_cl167,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ ( c_Orderings_Oord__class_Oless__eq @ X0 @ ( sk__16 @ X0 @ X1 @ X2 ) @ X2 )
| ( hBOOL @ ( hAPP @ ( c_Lubs_OisUb @ X0 @ ( c_Orderings_Otop__class_Otop @ ( tc_fun @ X0 @ tc_HOL_Obool ) ) @ X1 ) @ X2 ) )
| ~ ( class_Orderings_Oord @ X0 ) ),
inference(cnf,[status(esa)],[fact_isUb__UNIV__I]) ).
thf(zip_derived_cl11438,plain,
( ~ ( class_Orderings_Oord @ tc_RealDef_Oreal )
| ( hBOOL @ ( hAPP @ ( c_Lubs_OisUb @ tc_RealDef_Oreal @ ( c_Orderings_Otop__class_Otop @ ( tc_fun @ tc_RealDef_Oreal @ tc_HOL_Obool ) ) @ v_P ) @ sk__2 ) ) ),
inference('sup-',[status(thm)],[zip_derived_cl11253,zip_derived_cl167]) ).
thf(zip_derived_cl1576_002,plain,
class_Orderings_Oord @ tc_RealDef_Oreal,
inference(cnf,[status(esa)],[arity_RealDef__Oreal__Orderings_Oord]) ).
thf(zip_derived_cl11468,plain,
hBOOL @ ( hAPP @ ( c_Lubs_OisUb @ tc_RealDef_Oreal @ ( c_Orderings_Otop__class_Otop @ ( tc_fun @ tc_RealDef_Oreal @ tc_HOL_Obool ) ) @ v_P ) @ sk__2 ),
inference(demod,[status(thm)],[zip_derived_cl11438,zip_derived_cl1576]) ).
thf(zip_derived_cl1706_003,plain,
! [X0: $i,X1: $i] :
~ ( hBOOL @ ( hAPP @ ( c_Lubs_OisUb @ tc_RealDef_Oreal @ ( c_Orderings_Otop__class_Otop @ ( tc_fun @ X0 @ tc_HOL_Obool ) ) @ v_P ) @ X1 ) ),
inference(demod,[status(thm)],[zip_derived_cl1703,zip_derived_cl1512]) ).
thf(zip_derived_cl11522,plain,
$false,
inference('sup-',[status(thm)],[zip_derived_cl11468,zip_derived_cl1706]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : SWW190+1 : TPTP v8.1.2. Released v5.2.0.
% 0.14/0.13 % Command : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.P1H9V01JQT true
% 0.14/0.34 % Computer : n012.cluster.edu
% 0.14/0.34 % Model : x86_64 x86_64
% 0.14/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.34 % Memory : 8042.1875MB
% 0.14/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.34 % CPULimit : 300
% 0.14/0.34 % WCLimit : 300
% 0.14/0.34 % DateTime : Sun Aug 27 19:38:25 EDT 2023
% 0.14/0.35 % CPUTime :
% 0.14/0.35 % Running portfolio for 300 s
% 0.14/0.35 % File : /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.14/0.35 % Number of cores: 8
% 0.14/0.35 % Python version: Python 3.6.8
% 0.14/0.35 % Running in FO mode
% 0.21/0.65 % Total configuration time : 435
% 0.21/0.65 % Estimated wc time : 1092
% 0.21/0.65 % Estimated cpu time (7 cpus) : 156.0
% 0.21/0.72 % /export/starexec/sandbox2/solver/bin/fo/fo6_bce.sh running for 75s
% 0.21/0.73 % /export/starexec/sandbox2/solver/bin/fo/fo3_bce.sh running for 75s
% 0.21/0.73 % /export/starexec/sandbox2/solver/bin/fo/fo1_av.sh running for 75s
% 0.21/0.75 % /export/starexec/sandbox2/solver/bin/fo/fo7.sh running for 63s
% 0.21/0.75 % /export/starexec/sandbox2/solver/bin/fo/fo13.sh running for 50s
% 0.21/0.75 % /export/starexec/sandbox2/solver/bin/fo/fo5.sh running for 50s
% 0.21/0.75 % /export/starexec/sandbox2/solver/bin/fo/fo4.sh running for 50s
% 12.46/2.42 % Solved by fo/fo5.sh.
% 12.46/2.42 % done 1908 iterations in 1.582s
% 12.46/2.42 % SZS status Theorem for '/export/starexec/sandbox2/benchmark/theBenchmark.p'
% 12.46/2.42 % SZS output start Refutation
% See solution above
% 12.46/2.42
% 12.46/2.42
% 12.46/2.42 % Terminating...
% 12.89/2.46 % Runner terminated.
% 12.89/2.48 % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------