TSTP Solution File: SWW198+1 by Zipperpin---2.1.9999
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%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : SWW198+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.JGm3u6Mqhx true
% Computer : n008.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 01:41:08 EDT 2023
% Result : Theorem 1.66s 1.08s
% Output : Refutation 1.66s
% Verified :
% SZS Type : Refutation
% Derivation depth : 9
% Number of leaves : 24
% Syntax : Number of formulae : 50 ( 30 unt; 14 typ; 0 def)
% Number of atoms : 42 ( 34 equ; 0 cnn)
% Maximal formula atoms : 2 ( 1 avg)
% Number of connectives : 175 ( 9 ~; 4 |; 0 &; 160 @)
% ( 1 <=>; 1 =>; 0 <=; 0 <~>)
% Maximal formula depth : 6 ( 2 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 14 ( 14 >; 0 *; 0 +; 0 <<)
% Number of symbols : 16 ( 14 usr; 5 con; 0-3 aty)
% Number of variables : 17 ( 0 ^; 14 !; 3 ?; 17 :)
% Comments :
%------------------------------------------------------------------------------
thf(c_Groups_Otimes__class_Otimes_type,type,
c_Groups_Otimes__class_Otimes: $i > $i > $i > $i ).
thf(c_Nat_OSuc_type,type,
c_Nat_OSuc: $i > $i ).
thf(c_Int_OPls_type,type,
c_Int_OPls: $i ).
thf(v_na_____type,type,
v_na____: $i ).
thf(sk__type,type,
sk_: $i > $i ).
thf(c_Int_Onumber__class_Onumber__of_type,type,
c_Int_Onumber__class_Onumber__of: $i > $i > $i ).
thf(tc_Nat_Onat_type,type,
tc_Nat_Onat: $i ).
thf(c_Parity_Oeven__odd__class_Oeven_type,type,
c_Parity_Oeven__odd__class_Oeven: $i > $i > $o ).
thf(c_Int_OBit0_type,type,
c_Int_OBit0: $i > $i ).
thf(tc_Int_Oint_type,type,
tc_Int_Oint: $i ).
thf(c_Groups_Ozero__class_Ozero_type,type,
c_Groups_Ozero__class_Ozero: $i > $i ).
thf(c_Groups_Oone__class_Oone_type,type,
c_Groups_Oone__class_Oone: $i > $i ).
thf('#_fresh_sk2_type',type,
'#_fresh_sk2': $i > $i ).
thf(c_Int_OBit1_type,type,
c_Int_OBit1: $i > $i ).
thf(fact_o,axiom,
~ ( c_Parity_Oeven__odd__class_Oeven @ tc_Nat_Onat @ v_na____ ) ).
thf(zip_derived_cl0,plain,
~ ( c_Parity_Oeven__odd__class_Oeven @ tc_Nat_Onat @ v_na____ ),
inference(cnf,[status(esa)],[fact_o]) ).
thf(fact_odd__Suc__mult__two__ex,axiom,
! [V_nb_2: $i] :
( ~ ( c_Parity_Oeven__odd__class_Oeven @ tc_Nat_Onat @ V_nb_2 )
<=> ? [B_m: $i] :
( V_nb_2
= ( c_Nat_OSuc @ ( c_Groups_Otimes__class_Otimes @ tc_Nat_Onat @ ( c_Int_Onumber__class_Onumber__of @ tc_Nat_Onat @ ( c_Int_OBit0 @ ( c_Int_OBit1 @ c_Int_OPls ) ) ) @ B_m ) ) ) ) ).
thf(zip_derived_cl64,plain,
! [X0: $i] :
( ( X0
= ( c_Nat_OSuc @ ( c_Groups_Otimes__class_Otimes @ tc_Nat_Onat @ ( c_Int_Onumber__class_Onumber__of @ tc_Nat_Onat @ ( c_Int_OBit0 @ ( c_Int_OBit1 @ c_Int_OPls ) ) ) @ ( sk_ @ X0 ) ) ) )
| ( c_Parity_Oeven__odd__class_Oeven @ tc_Nat_Onat @ X0 ) ),
inference(cnf,[status(esa)],[fact_odd__Suc__mult__two__ex]) ).
thf(fact_one__is__num__one,axiom,
( ( c_Groups_Oone__class_Oone @ tc_Int_Oint )
= ( c_Int_Onumber__class_Onumber__of @ tc_Int_Oint @ ( c_Int_OBit1 @ c_Int_OPls ) ) ) ).
thf(zip_derived_cl1152,plain,
( ( c_Groups_Oone__class_Oone @ tc_Int_Oint )
= ( c_Int_Onumber__class_Onumber__of @ tc_Int_Oint @ ( c_Int_OBit1 @ c_Int_OPls ) ) ),
inference(cnf,[status(esa)],[fact_one__is__num__one]) ).
thf(fact_number__of__is__id,axiom,
! [V_k: $i] :
( ( c_Int_Onumber__class_Onumber__of @ tc_Int_Oint @ V_k )
= V_k ) ).
thf(zip_derived_cl116,plain,
! [X0: $i] :
( ( c_Int_Onumber__class_Onumber__of @ tc_Int_Oint @ X0 )
= X0 ),
inference(cnf,[status(esa)],[fact_number__of__is__id]) ).
thf(zip_derived_cl2160,plain,
( ( c_Groups_Oone__class_Oone @ tc_Int_Oint )
= ( c_Int_OBit1 @ c_Int_OPls ) ),
inference('sup+',[status(thm)],[zip_derived_cl1152,zip_derived_cl116]) ).
thf(fact_numeral__2__eq__2,axiom,
( ( c_Int_Onumber__class_Onumber__of @ tc_Nat_Onat @ ( c_Int_OBit0 @ ( c_Int_OBit1 @ c_Int_OPls ) ) )
= ( c_Nat_OSuc @ ( c_Nat_OSuc @ ( c_Groups_Ozero__class_Ozero @ tc_Nat_Onat ) ) ) ) ).
thf(zip_derived_cl59,plain,
( ( c_Int_Onumber__class_Onumber__of @ tc_Nat_Onat @ ( c_Int_OBit0 @ ( c_Int_OBit1 @ c_Int_OPls ) ) )
= ( c_Nat_OSuc @ ( c_Nat_OSuc @ ( c_Groups_Ozero__class_Ozero @ tc_Nat_Onat ) ) ) ),
inference(cnf,[status(esa)],[fact_numeral__2__eq__2]) ).
thf(zip_derived_cl2160_001,plain,
( ( c_Groups_Oone__class_Oone @ tc_Int_Oint )
= ( c_Int_OBit1 @ c_Int_OPls ) ),
inference('sup+',[status(thm)],[zip_derived_cl1152,zip_derived_cl116]) ).
thf(fact_One__nat__def,axiom,
( ( c_Groups_Oone__class_Oone @ tc_Nat_Onat )
= ( c_Nat_OSuc @ ( c_Groups_Ozero__class_Ozero @ tc_Nat_Onat ) ) ) ).
thf(zip_derived_cl1078,plain,
( ( c_Groups_Oone__class_Oone @ tc_Nat_Onat )
= ( c_Nat_OSuc @ ( c_Groups_Ozero__class_Ozero @ tc_Nat_Onat ) ) ),
inference(cnf,[status(esa)],[fact_One__nat__def]) ).
thf(fact_Suc__inject,axiom,
! [V_y: $i,V_x: $i] :
( ( ( c_Nat_OSuc @ V_x )
= ( c_Nat_OSuc @ V_y ) )
=> ( V_x = V_y ) ) ).
thf(zip_derived_cl50,plain,
! [X0: $i,X1: $i] :
( ( X1 = X0 )
| ( ( c_Nat_OSuc @ X1 )
!= ( c_Nat_OSuc @ X0 ) ) ),
inference(cnf,[status(esa)],[fact_Suc__inject]) ).
thf(zip_derived_cl2047,plain,
! [X1: $i] :
( ( '#_fresh_sk2' @ ( c_Nat_OSuc @ X1 ) )
= X1 ),
inference(inj_rec,[status(thm)],[zip_derived_cl50]) ).
thf(zip_derived_cl2063,plain,
( ( '#_fresh_sk2' @ ( c_Groups_Oone__class_Oone @ tc_Nat_Onat ) )
= ( c_Groups_Ozero__class_Ozero @ tc_Nat_Onat ) ),
inference('sup+',[status(thm)],[zip_derived_cl1078,zip_derived_cl2047]) ).
thf(fact_numeral__1__eq__Suc__0,axiom,
( ( c_Int_Onumber__class_Onumber__of @ tc_Nat_Onat @ ( c_Int_OBit1 @ c_Int_OPls ) )
= ( c_Nat_OSuc @ ( c_Groups_Ozero__class_Ozero @ tc_Nat_Onat ) ) ) ).
thf(zip_derived_cl43,plain,
( ( c_Int_Onumber__class_Onumber__of @ tc_Nat_Onat @ ( c_Int_OBit1 @ c_Int_OPls ) )
= ( c_Nat_OSuc @ ( c_Groups_Ozero__class_Ozero @ tc_Nat_Onat ) ) ),
inference(cnf,[status(esa)],[fact_numeral__1__eq__Suc__0]) ).
thf(fact_Numeral1__eq1__nat,axiom,
( ( c_Groups_Oone__class_Oone @ tc_Nat_Onat )
= ( c_Int_Onumber__class_Onumber__of @ tc_Nat_Onat @ ( c_Int_OBit1 @ c_Int_OPls ) ) ) ).
thf(zip_derived_cl1150,plain,
( ( c_Groups_Oone__class_Oone @ tc_Nat_Onat )
= ( c_Int_Onumber__class_Onumber__of @ tc_Nat_Onat @ ( c_Int_OBit1 @ c_Int_OPls ) ) ),
inference(cnf,[status(esa)],[fact_Numeral1__eq1__nat]) ).
thf(zip_derived_cl2063_002,plain,
( ( '#_fresh_sk2' @ ( c_Groups_Oone__class_Oone @ tc_Nat_Onat ) )
= ( c_Groups_Ozero__class_Ozero @ tc_Nat_Onat ) ),
inference('sup+',[status(thm)],[zip_derived_cl1078,zip_derived_cl2047]) ).
thf(zip_derived_cl2114,plain,
( ( c_Groups_Oone__class_Oone @ tc_Nat_Onat )
= ( c_Nat_OSuc @ ( '#_fresh_sk2' @ ( c_Groups_Oone__class_Oone @ tc_Nat_Onat ) ) ) ),
inference(demod,[status(thm)],[zip_derived_cl43,zip_derived_cl1150,zip_derived_cl2063]) ).
thf(zip_derived_cl2373,plain,
( ( c_Int_Onumber__class_Onumber__of @ tc_Nat_Onat @ ( c_Int_OBit0 @ ( c_Groups_Oone__class_Oone @ tc_Int_Oint ) ) )
= ( c_Nat_OSuc @ ( c_Groups_Oone__class_Oone @ tc_Nat_Onat ) ) ),
inference(demod,[status(thm)],[zip_derived_cl59,zip_derived_cl2160,zip_derived_cl2063,zip_derived_cl2114]) ).
thf(zip_derived_cl2582,plain,
! [X0: $i] :
( ( X0
= ( c_Nat_OSuc @ ( c_Groups_Otimes__class_Otimes @ tc_Nat_Onat @ ( c_Nat_OSuc @ ( c_Groups_Oone__class_Oone @ tc_Nat_Onat ) ) @ ( sk_ @ X0 ) ) ) )
| ( c_Parity_Oeven__odd__class_Oeven @ tc_Nat_Onat @ X0 ) ),
inference(demod,[status(thm)],[zip_derived_cl64,zip_derived_cl2160,zip_derived_cl2373]) ).
thf(conj_0,conjecture,
? [B_m: $i] :
( v_na____
= ( c_Nat_OSuc @ ( c_Groups_Otimes__class_Otimes @ tc_Nat_Onat @ ( c_Int_Onumber__class_Onumber__of @ tc_Nat_Onat @ ( c_Int_OBit0 @ ( c_Int_OBit1 @ c_Int_OPls ) ) ) @ B_m ) ) ) ).
thf(zf_stmt_0,negated_conjecture,
~ ? [B_m: $i] :
( v_na____
= ( c_Nat_OSuc @ ( c_Groups_Otimes__class_Otimes @ tc_Nat_Onat @ ( c_Int_Onumber__class_Onumber__of @ tc_Nat_Onat @ ( c_Int_OBit0 @ ( c_Int_OBit1 @ c_Int_OPls ) ) ) @ B_m ) ) ),
inference('cnf.neg',[status(esa)],[conj_0]) ).
thf(zip_derived_cl1820,plain,
! [X0: $i] :
( v_na____
!= ( c_Nat_OSuc @ ( c_Groups_Otimes__class_Otimes @ tc_Nat_Onat @ ( c_Int_Onumber__class_Onumber__of @ tc_Nat_Onat @ ( c_Int_OBit0 @ ( c_Int_OBit1 @ c_Int_OPls ) ) ) @ X0 ) ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl2160_003,plain,
( ( c_Groups_Oone__class_Oone @ tc_Int_Oint )
= ( c_Int_OBit1 @ c_Int_OPls ) ),
inference('sup+',[status(thm)],[zip_derived_cl1152,zip_derived_cl116]) ).
thf(zip_derived_cl2167,plain,
! [X0: $i] :
( v_na____
!= ( c_Nat_OSuc @ ( c_Groups_Otimes__class_Otimes @ tc_Nat_Onat @ ( c_Int_Onumber__class_Onumber__of @ tc_Nat_Onat @ ( c_Int_OBit0 @ ( c_Groups_Oone__class_Oone @ tc_Int_Oint ) ) ) @ X0 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl1820,zip_derived_cl2160]) ).
thf(zip_derived_cl2373_004,plain,
( ( c_Int_Onumber__class_Onumber__of @ tc_Nat_Onat @ ( c_Int_OBit0 @ ( c_Groups_Oone__class_Oone @ tc_Int_Oint ) ) )
= ( c_Nat_OSuc @ ( c_Groups_Oone__class_Oone @ tc_Nat_Onat ) ) ),
inference(demod,[status(thm)],[zip_derived_cl59,zip_derived_cl2160,zip_derived_cl2063,zip_derived_cl2114]) ).
thf(zip_derived_cl2374,plain,
! [X0: $i] :
( v_na____
!= ( c_Nat_OSuc @ ( c_Groups_Otimes__class_Otimes @ tc_Nat_Onat @ ( c_Nat_OSuc @ ( c_Groups_Oone__class_Oone @ tc_Nat_Onat ) ) @ X0 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl2167,zip_derived_cl2373]) ).
thf(zip_derived_cl2608,plain,
! [X0: $i] :
( ( v_na____ != X0 )
| ( c_Parity_Oeven__odd__class_Oeven @ tc_Nat_Onat @ X0 ) ),
inference('sup-',[status(thm)],[zip_derived_cl2582,zip_derived_cl2374]) ).
thf(zip_derived_cl2613,plain,
c_Parity_Oeven__odd__class_Oeven @ tc_Nat_Onat @ v_na____,
inference(eq_res,[status(thm)],[zip_derived_cl2608]) ).
thf(zip_derived_cl2615,plain,
$false,
inference(demod,[status(thm)],[zip_derived_cl0,zip_derived_cl2613]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.13 % Problem : SWW198+1 : TPTP v8.1.2. Released v5.2.0.
% 0.12/0.14 % Command : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.JGm3u6Mqhx true
% 0.13/0.35 % Computer : n008.cluster.edu
% 0.13/0.35 % Model : x86_64 x86_64
% 0.13/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.35 % Memory : 8042.1875MB
% 0.13/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.35 % CPULimit : 300
% 0.13/0.35 % WCLimit : 300
% 0.13/0.35 % DateTime : Sun Aug 27 19:51:32 EDT 2023
% 0.13/0.35 % CPUTime :
% 0.13/0.35 % Running portfolio for 300 s
% 0.13/0.35 % 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
% 0.20/0.61 % Total configuration time : 435
% 0.20/0.61 % Estimated wc time : 1092
% 0.20/0.61 % Estimated cpu time (7 cpus) : 156.0
% 0.20/0.66 % /export/starexec/sandbox2/solver/bin/fo/fo6_bce.sh running for 75s
% 0.20/0.70 % /export/starexec/sandbox2/solver/bin/fo/fo3_bce.sh running for 75s
% 0.20/0.70 % /export/starexec/sandbox2/solver/bin/fo/fo1_av.sh running for 75s
% 0.20/0.71 % /export/starexec/sandbox2/solver/bin/fo/fo13.sh running for 50s
% 0.20/0.71 % /export/starexec/sandbox2/solver/bin/fo/fo7.sh running for 63s
% 0.20/0.71 % /export/starexec/sandbox2/solver/bin/fo/fo5.sh running for 50s
% 0.20/0.73 % /export/starexec/sandbox2/solver/bin/fo/fo4.sh running for 50s
% 1.66/1.08 % Solved by fo/fo5.sh.
% 1.66/1.08 % done 666 iterations in 0.353s
% 1.66/1.08 % SZS status Theorem for '/export/starexec/sandbox2/benchmark/theBenchmark.p'
% 1.66/1.08 % SZS output start Refutation
% See solution above
% 1.66/1.08
% 1.66/1.08
% 1.66/1.08 % Terminating...
% 2.45/1.14 % Runner terminated.
% 2.45/1.15 % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------