TSTP Solution File: SCT159+1 by Zipperpin---2.1.9999
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%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : SCT159+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.SObQD80VZF 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 : Thu Aug 31 14:27:23 EDT 2023
% Result : Theorem 93.85s 14.02s
% Output : Refutation 93.85s
% Verified :
% SZS Type : Refutation
% Derivation depth : 11
% Number of leaves : 27
% Syntax : Number of formulae : 59 ( 17 unt; 16 typ; 0 def)
% Number of atoms : 83 ( 27 equ; 0 cnn)
% Maximal formula atoms : 5 ( 1 avg)
% Number of connectives : 366 ( 29 ~; 28 |; 0 &; 297 @)
% ( 2 <=>; 10 =>; 0 <=; 0 <~>)
% Maximal formula depth : 13 ( 7 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 30 ( 30 >; 0 *; 0 +; 0 <<)
% Number of symbols : 18 ( 16 usr; 5 con; 0-4 aty)
% Number of variables : 98 ( 0 ^; 98 !; 0 ?; 98 :)
% Comments :
%------------------------------------------------------------------------------
thf(c_Fun_Oinj__on_type,type,
c_Fun_Oinj__on: $i > $i > $i > $i > $o ).
thf(class_Orderings_Otop_type,type,
class_Orderings_Otop: $i > $o ).
thf(tc_Arrow__Order__Mirabelle_Oindi_type,type,
tc_Arrow__Order__Mirabelle_Oindi: $i ).
thf(sk__2_type,type,
sk__2: $i > $i > $i > $i ).
thf(c_Orderings_Otop__class_Otop_type,type,
c_Orderings_Otop__class_Otop: $i > $i ).
thf(c_Set_Oimage_type,type,
c_Set_Oimage: $i > $i > $i > $i > $i ).
thf(tc_Nat_Onat_type,type,
tc_Nat_Onat: $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 > $i > $o ).
thf(c_member_type,type,
c_member: $i > $i > $i > $o ).
thf(c_Nat_OSuc_type,type,
c_Nat_OSuc: $i ).
thf(tc_fun_type,type,
tc_fun: $i > $i > $i ).
thf(sk__1_type,type,
sk__1: $i > $i > $i > $i ).
thf(sk__type,type,
sk_: $i > $i > $i ).
thf(tc_HOL_Obool_type,type,
tc_HOL_Obool: $i ).
thf(c_Finite__Set_Ofinite_type,type,
c_Finite__Set_Ofinite: $i > $i > $o ).
thf(fact_top__apply,axiom,
! [V_x_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_x_2 )
= ( c_Orderings_Otop__class_Otop @ T_a ) ) ) ).
thf(zip_derived_cl8,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_cl8_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_cl853,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_cl8,zip_derived_cl0]) ).
thf(zip_derived_cl896,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_cl8,zip_derived_cl853]) ).
thf(zip_derived_cl898,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_cl896]) ).
thf(zip_derived_cl899,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_cl898]) ).
thf(fact_infinite__UNIV__nat,axiom,
~ ( c_Finite__Set_Ofinite @ tc_Nat_Onat @ ( c_Orderings_Otop__class_Otop @ ( tc_fun @ tc_Nat_Onat @ tc_HOL_Obool ) ) ) ).
thf(zip_derived_cl330,plain,
~ ( c_Finite__Set_Ofinite @ tc_Nat_Onat @ ( c_Orderings_Otop__class_Otop @ ( tc_fun @ tc_Nat_Onat @ tc_HOL_Obool ) ) ),
inference(cnf,[status(esa)],[fact_infinite__UNIV__nat]) ).
thf(zip_derived_cl922,plain,
! [X0: $i] :
( ~ ( c_Finite__Set_Ofinite @ tc_Nat_Onat @ ( c_Orderings_Otop__class_Otop @ ( tc_fun @ X0 @ tc_HOL_Obool ) ) )
| ~ ( class_Orderings_Otop @ tc_HOL_Obool ) ),
inference('sup-',[status(thm)],[zip_derived_cl899,zip_derived_cl330]) ).
thf(arity_HOL__Obool__Orderings_Otop,axiom,
class_Orderings_Otop @ tc_HOL_Obool ).
thf(zip_derived_cl764,plain,
class_Orderings_Otop @ tc_HOL_Obool,
inference(cnf,[status(esa)],[arity_HOL__Obool__Orderings_Otop]) ).
thf(zip_derived_cl956,plain,
! [X0: $i] :
~ ( c_Finite__Set_Ofinite @ tc_Nat_Onat @ ( c_Orderings_Otop__class_Otop @ ( tc_fun @ X0 @ tc_HOL_Obool ) ) ),
inference(demod,[status(thm)],[zip_derived_cl922,zip_derived_cl764]) ).
thf(fact_inj__on__def,axiom,
! [V_A_2: $i,V_f_2: $i,T_b: $i,T_a: $i] :
( ( c_Fun_Oinj__on @ T_a @ T_b @ V_f_2 @ V_A_2 )
<=> ! [B_x: $i] :
( ( c_member @ T_a @ B_x @ V_A_2 )
=> ! [B_xa: $i] :
( ( c_member @ T_a @ B_xa @ V_A_2 )
=> ( ( ( hAPP @ V_f_2 @ B_x )
= ( hAPP @ V_f_2 @ B_xa ) )
=> ( B_x = B_xa ) ) ) ) ) ).
thf(zip_derived_cl12,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( c_Fun_Oinj__on @ X0 @ X1 @ X2 @ X3 )
| ( ( hAPP @ X2 @ ( sk__1 @ X0 @ X2 @ X3 ) )
= ( hAPP @ X2 @ ( sk__2 @ X0 @ X2 @ X3 ) ) ) ),
inference(cnf,[status(esa)],[fact_inj__on__def]) ).
thf(fact_inj__Suc,axiom,
! [V_N_2: $i] : ( c_Fun_Oinj__on @ tc_Nat_Onat @ tc_Nat_Onat @ c_Nat_OSuc @ V_N_2 ) ).
thf(zip_derived_cl351,plain,
! [X0: $i] : ( c_Fun_Oinj__on @ tc_Nat_Onat @ tc_Nat_Onat @ c_Nat_OSuc @ X0 ),
inference(cnf,[status(esa)],[fact_inj__Suc]) ).
thf(fact_inj__eq,axiom,
! [V_y_2: $i,V_x_2: $i,V_f_2: $i,T_b: $i,T_a: $i] :
( ( c_Fun_Oinj__on @ T_a @ T_b @ V_f_2 @ ( c_Orderings_Otop__class_Otop @ ( tc_fun @ T_a @ tc_HOL_Obool ) ) )
=> ( ( ( hAPP @ V_f_2 @ V_x_2 )
= ( hAPP @ V_f_2 @ V_y_2 ) )
<=> ( V_x_2 = V_y_2 ) ) ) ).
thf(zip_derived_cl6,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( ( ( hAPP @ X0 @ X2 )
!= ( hAPP @ X0 @ X1 ) )
| ( X2 = X1 )
| ~ ( c_Fun_Oinj__on @ X3 @ X4 @ X0 @ ( c_Orderings_Otop__class_Otop @ ( tc_fun @ X3 @ tc_HOL_Obool ) ) ) ),
inference(cnf,[status(esa)],[fact_inj__eq]) ).
thf(zip_derived_cl822,plain,
! [X0: $i,X1: $i] :
( ( X0 = X1 )
| ( ( hAPP @ c_Nat_OSuc @ X0 )
!= ( hAPP @ c_Nat_OSuc @ X1 ) ) ),
inference('sup-',[status(thm)],[zip_derived_cl351,zip_derived_cl6]) ).
thf(zip_derived_cl1010,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( ( hAPP @ c_Nat_OSuc @ ( sk__1 @ X1 @ c_Nat_OSuc @ X0 ) )
!= ( hAPP @ c_Nat_OSuc @ X2 ) )
| ( c_Fun_Oinj__on @ X1 @ X3 @ c_Nat_OSuc @ X0 )
| ( ( sk__2 @ X1 @ c_Nat_OSuc @ X0 )
= X2 ) ),
inference('sup-',[status(thm)],[zip_derived_cl12,zip_derived_cl822]) ).
thf(zip_derived_cl18005,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( ( sk__2 @ X1 @ c_Nat_OSuc @ X0 )
= ( sk__1 @ X1 @ c_Nat_OSuc @ X0 ) )
| ( c_Fun_Oinj__on @ X1 @ X2 @ c_Nat_OSuc @ X0 ) ),
inference(eq_res,[status(thm)],[zip_derived_cl1010]) ).
thf(zip_derived_cl11,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( c_Fun_Oinj__on @ X0 @ X1 @ X2 @ X3 )
| ( ( sk__1 @ X0 @ X2 @ X3 )
!= ( sk__2 @ X0 @ X2 @ X3 ) ) ),
inference(cnf,[status(esa)],[fact_inj__on__def]) ).
thf(zip_derived_cl51888,plain,
! [X0: $i,X1: $i,X2: $i] : ( c_Fun_Oinj__on @ X1 @ X2 @ c_Nat_OSuc @ X0 ),
inference(clc,[status(thm)],[zip_derived_cl18005,zip_derived_cl11]) ).
thf(zip_derived_cl899_002,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_cl898]) ).
thf(fact_finite__indi,axiom,
c_Finite__Set_Ofinite @ tc_Arrow__Order__Mirabelle_Oindi @ ( c_Orderings_Otop__class_Otop @ ( tc_fun @ tc_Arrow__Order__Mirabelle_Oindi @ tc_HOL_Obool ) ) ).
thf(zip_derived_cl18,plain,
c_Finite__Set_Ofinite @ tc_Arrow__Order__Mirabelle_Oindi @ ( c_Orderings_Otop__class_Otop @ ( tc_fun @ tc_Arrow__Order__Mirabelle_Oindi @ tc_HOL_Obool ) ),
inference(cnf,[status(esa)],[fact_finite__indi]) ).
thf(zip_derived_cl921,plain,
! [X0: $i] :
( ( c_Finite__Set_Ofinite @ tc_Arrow__Order__Mirabelle_Oindi @ ( c_Orderings_Otop__class_Otop @ ( tc_fun @ X0 @ tc_HOL_Obool ) ) )
| ~ ( class_Orderings_Otop @ tc_HOL_Obool ) ),
inference('sup+',[status(thm)],[zip_derived_cl899,zip_derived_cl18]) ).
thf(zip_derived_cl764_003,plain,
class_Orderings_Otop @ tc_HOL_Obool,
inference(cnf,[status(esa)],[arity_HOL__Obool__Orderings_Otop]) ).
thf(zip_derived_cl955,plain,
! [X0: $i] : ( c_Finite__Set_Ofinite @ tc_Arrow__Order__Mirabelle_Oindi @ ( c_Orderings_Otop__class_Otop @ ( tc_fun @ X0 @ tc_HOL_Obool ) ) ),
inference(demod,[status(thm)],[zip_derived_cl921,zip_derived_cl764]) ).
thf(fact_subset__UNIV,axiom,
! [V_A_2: $i,T_a: $i] : ( c_Orderings_Oord__class_Oless__eq @ ( tc_fun @ T_a @ tc_HOL_Obool ) @ V_A_2 @ ( c_Orderings_Otop__class_Otop @ ( tc_fun @ T_a @ tc_HOL_Obool ) ) ) ).
thf(zip_derived_cl278,plain,
! [X0: $i,X1: $i] : ( c_Orderings_Oord__class_Oless__eq @ ( tc_fun @ X0 @ tc_HOL_Obool ) @ X1 @ ( c_Orderings_Otop__class_Otop @ ( tc_fun @ X0 @ tc_HOL_Obool ) ) ),
inference(cnf,[status(esa)],[fact_subset__UNIV]) ).
thf(fact_finite__subset,axiom,
! [V_B_2: $i,V_A_2: $i,T_a: $i] :
( ( c_Orderings_Oord__class_Oless__eq @ ( tc_fun @ T_a @ tc_HOL_Obool ) @ V_A_2 @ V_B_2 )
=> ( ( c_Finite__Set_Ofinite @ T_a @ V_B_2 )
=> ( c_Finite__Set_Ofinite @ T_a @ V_A_2 ) ) ) ).
thf(zip_derived_cl147,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ ( c_Finite__Set_Ofinite @ X0 @ X1 )
| ( c_Finite__Set_Ofinite @ X0 @ X2 )
| ~ ( c_Orderings_Oord__class_Oless__eq @ ( tc_fun @ X0 @ tc_HOL_Obool ) @ X2 @ X1 ) ),
inference(cnf,[status(esa)],[fact_finite__subset]) ).
thf(zip_derived_cl3966,plain,
! [X0: $i,X1: $i] :
( ( c_Finite__Set_Ofinite @ X0 @ X1 )
| ~ ( c_Finite__Set_Ofinite @ X0 @ ( c_Orderings_Otop__class_Otop @ ( tc_fun @ X0 @ tc_HOL_Obool ) ) ) ),
inference('sup-',[status(thm)],[zip_derived_cl278,zip_derived_cl147]) ).
thf(zip_derived_cl16614,plain,
! [X0: $i] : ( c_Finite__Set_Ofinite @ tc_Arrow__Order__Mirabelle_Oindi @ X0 ),
inference('sup-',[status(thm)],[zip_derived_cl955,zip_derived_cl3966]) ).
thf(fact_finite__imageD,axiom,
! [V_A_2: $i,V_f_2: $i,T_b: $i,T_a: $i] :
( ( c_Finite__Set_Ofinite @ T_a @ ( c_Set_Oimage @ T_b @ T_a @ V_f_2 @ V_A_2 ) )
=> ( ( c_Fun_Oinj__on @ T_b @ T_a @ V_f_2 @ V_A_2 )
=> ( c_Finite__Set_Ofinite @ T_b @ V_A_2 ) ) ) ).
thf(zip_derived_cl31,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( c_Finite__Set_Ofinite @ X0 @ X1 )
| ~ ( c_Finite__Set_Ofinite @ X2 @ ( c_Set_Oimage @ X0 @ X2 @ X3 @ X1 ) )
| ~ ( c_Fun_Oinj__on @ X0 @ X2 @ X3 @ X1 ) ),
inference(cnf,[status(esa)],[fact_finite__imageD]) ).
thf(zip_derived_cl16634,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ ( c_Fun_Oinj__on @ X2 @ tc_Arrow__Order__Mirabelle_Oindi @ X1 @ X0 )
| ( c_Finite__Set_Ofinite @ X2 @ X0 ) ),
inference('sup-',[status(thm)],[zip_derived_cl16614,zip_derived_cl31]) ).
thf(zip_derived_cl51900,plain,
! [X0: $i,X1: $i] : ( c_Finite__Set_Ofinite @ X1 @ X0 ),
inference('sup-',[status(thm)],[zip_derived_cl51888,zip_derived_cl16634]) ).
thf(zip_derived_cl51944,plain,
$false,
inference(demod,[status(thm)],[zip_derived_cl956,zip_derived_cl51900]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.08/0.14 % Problem : SCT159+1 : TPTP v8.1.2. Released v5.2.0.
% 0.08/0.15 % Command : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.SObQD80VZF true
% 0.15/0.36 % Computer : n023.cluster.edu
% 0.15/0.36 % Model : x86_64 x86_64
% 0.15/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.36 % Memory : 8042.1875MB
% 0.15/0.36 % OS : Linux 3.10.0-693.el7.x86_64
% 0.15/0.36 % CPULimit : 300
% 0.15/0.36 % WCLimit : 300
% 0.15/0.36 % DateTime : Thu Aug 24 15:13:12 EDT 2023
% 0.15/0.36 % CPUTime :
% 0.15/0.36 % Running portfolio for 300 s
% 0.15/0.36 % File : /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.15/0.36 % Number of cores: 8
% 0.15/0.37 % Python version: Python 3.6.8
% 0.15/0.37 % Running in FO mode
% 0.50/0.60 % Total configuration time : 435
% 0.50/0.60 % Estimated wc time : 1092
% 0.50/0.60 % Estimated cpu time (7 cpus) : 156.0
% 0.56/0.70 % /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
% 0.56/0.74 % /export/starexec/sandbox/solver/bin/fo/fo7.sh running for 63s
% 0.56/0.74 % /export/starexec/sandbox/solver/bin/fo/fo1_av.sh running for 75s
% 0.56/0.75 % /export/starexec/sandbox/solver/bin/fo/fo13.sh running for 50s
% 0.56/0.75 % /export/starexec/sandbox/solver/bin/fo/fo4.sh running for 50s
% 0.56/0.75 % /export/starexec/sandbox/solver/bin/fo/fo5.sh running for 50s
% 0.59/0.93 % /export/starexec/sandbox/solver/bin/fo/fo1_lcnf.sh running for 50s
% 93.85/14.02 % Solved by fo/fo5.sh.
% 93.85/14.02 % done 8129 iterations in 13.241s
% 93.85/14.02 % SZS status Theorem for '/export/starexec/sandbox/benchmark/theBenchmark.p'
% 93.85/14.02 % SZS output start Refutation
% See solution above
% 93.85/14.02
% 93.85/14.02
% 93.85/14.02 % Terminating...
% 93.85/14.06 % Runner terminated.
% 93.85/14.08 % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------