TSTP Solution File: SWW293+1 by Zipperpin---2.1.9999
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%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : SWW293+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.3KPbEhZ3bT true
% Computer : n005.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 01:41:27 EDT 2023
% Result : Theorem 29.06s 4.74s
% Output : Refutation 29.06s
% Verified :
% SZS Type : Refutation
% Derivation depth : 9
% Number of leaves : 34
% Syntax : Number of formulae : 59 ( 27 unt; 25 typ; 0 def)
% Number of atoms : 44 ( 21 equ; 0 cnn)
% Maximal formula atoms : 4 ( 1 avg)
% Number of connectives : 274 ( 15 ~; 4 |; 0 &; 249 @)
% ( 1 <=>; 5 =>; 0 <=; 0 <~>)
% Maximal formula depth : 17 ( 6 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 26 ( 26 >; 0 *; 0 +; 0 <<)
% Number of symbols : 27 ( 25 usr; 15 con; 0-4 aty)
% Number of variables : 41 ( 0 ^; 41 !; 0 ?; 41 :)
% Comments :
%------------------------------------------------------------------------------
thf(c_Com_Obody_type,type,
c_Com_Obody: $i ).
thf(c_Com_Ocom_OBODY_type,type,
c_Com_Ocom_OBODY: $i ).
thf(c_Int_OPls_type,type,
c_Int_OPls: $i ).
thf(c_Hoare__Mirabelle_Otriple__valid_type,type,
c_Hoare__Mirabelle_Otriple__valid: $i > $i > $i > $o ).
thf(c_Natural_Oevaln_type,type,
c_Natural_Oevaln: $i > $i > $i > $i > $o ).
thf(sk__3_type,type,
sk__3: $i > $i > $i > $i > $i ).
thf(c_Int_Onat_type,type,
c_Int_Onat: $i ).
thf(tc_Nat_Onat_type,type,
tc_Nat_Onat: $i ).
thf(hBOOL_type,type,
hBOOL: $i > $o ).
thf(t_a_type,type,
t_a: $i ).
thf(c_Int_OMin_type,type,
c_Int_OMin: $i ).
thf(hAPP_type,type,
hAPP: $i > $i > $i ).
thf(c_Nat__Numeral_Oneg_type,type,
c_Nat__Numeral_Oneg: $i ).
thf(v_pn_type,type,
v_pn: $i ).
thf(c_Option_Othe_type,type,
c_Option_Othe: $i > $i ).
thf(sk__2_type,type,
sk__2: $i > $i > $i > $i > $i ).
thf(c_Hoare__Mirabelle_Otriple_Otriple_type,type,
c_Hoare__Mirabelle_Otriple_Otriple: $i > $i ).
thf(c_Int_Onumber__class_Onumber__of_type,type,
c_Int_Onumber__class_Onumber__of: $i > $i ).
thf(c_Groups_Ozero__class_Ozero_type,type,
c_Groups_Ozero__class_Ozero: $i > $i ).
thf(sk__26_type,type,
sk__26: $i > $i > $i > $i > $i ).
thf(v_Q_type,type,
v_Q: $i ).
thf(c_Nat_OSuc_type,type,
c_Nat_OSuc: $i ).
thf(tc_Int_Oint_type,type,
tc_Int_Oint: $i ).
thf(tc_Com_Ocom_type,type,
tc_Com_Ocom: $i ).
thf(v_P_type,type,
v_P: $i ).
thf(conj_0,conjecture,
c_Hoare__Mirabelle_Otriple__valid @ t_a @ ( c_Groups_Ozero__class_Ozero @ tc_Nat_Onat ) @ ( hAPP @ ( hAPP @ ( hAPP @ ( c_Hoare__Mirabelle_Otriple_Otriple @ t_a ) @ v_P ) @ ( hAPP @ c_Com_Ocom_OBODY @ v_pn ) ) @ v_Q ) ).
thf(zf_stmt_0,negated_conjecture,
~ ( c_Hoare__Mirabelle_Otriple__valid @ t_a @ ( c_Groups_Ozero__class_Ozero @ tc_Nat_Onat ) @ ( hAPP @ ( hAPP @ ( hAPP @ ( c_Hoare__Mirabelle_Otriple_Otriple @ t_a ) @ v_P ) @ ( hAPP @ c_Com_Ocom_OBODY @ v_pn ) ) @ v_Q ) ),
inference('cnf.neg',[status(esa)],[conj_0]) ).
thf(zip_derived_cl7470,plain,
~ ( c_Hoare__Mirabelle_Otriple__valid @ t_a @ ( c_Groups_Ozero__class_Ozero @ tc_Nat_Onat ) @ ( hAPP @ ( hAPP @ ( hAPP @ ( c_Hoare__Mirabelle_Otriple_Otriple @ t_a ) @ v_P ) @ ( hAPP @ c_Com_Ocom_OBODY @ v_pn ) ) @ v_Q ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(fact_nat__0,axiom,
( ( hAPP @ c_Int_Onat @ ( c_Groups_Ozero__class_Ozero @ tc_Int_Oint ) )
= ( c_Groups_Ozero__class_Ozero @ tc_Nat_Onat ) ) ).
thf(zip_derived_cl754,plain,
( ( hAPP @ c_Int_Onat @ ( c_Groups_Ozero__class_Ozero @ tc_Int_Oint ) )
= ( c_Groups_Ozero__class_Ozero @ tc_Nat_Onat ) ),
inference(cnf,[status(esa)],[fact_nat__0]) ).
thf(fact_Pls__def,axiom,
( c_Int_OPls
= ( c_Groups_Ozero__class_Ozero @ tc_Int_Oint ) ) ).
thf(zip_derived_cl2036,plain,
( c_Int_OPls
= ( c_Groups_Ozero__class_Ozero @ tc_Int_Oint ) ),
inference(cnf,[status(esa)],[fact_Pls__def]) ).
thf(zip_derived_cl18508,plain,
( ( hAPP @ c_Int_Onat @ c_Int_OPls )
= ( c_Groups_Ozero__class_Ozero @ tc_Nat_Onat ) ),
inference(demod,[status(thm)],[zip_derived_cl754,zip_derived_cl2036]) ).
thf(zip_derived_cl18528,plain,
~ ( c_Hoare__Mirabelle_Otriple__valid @ t_a @ ( hAPP @ c_Int_Onat @ c_Int_OPls ) @ ( hAPP @ ( hAPP @ ( hAPP @ ( c_Hoare__Mirabelle_Otriple_Otriple @ t_a ) @ v_P ) @ ( hAPP @ c_Com_Ocom_OBODY @ v_pn ) ) @ v_Q ) ),
inference(demod,[status(thm)],[zip_derived_cl7470,zip_derived_cl18508]) ).
thf(zip_derived_cl18508_001,plain,
( ( hAPP @ c_Int_Onat @ c_Int_OPls )
= ( c_Groups_Ozero__class_Ozero @ tc_Nat_Onat ) ),
inference(demod,[status(thm)],[zip_derived_cl754,zip_derived_cl2036]) ).
thf(fact_neg__number__of__Min,axiom,
hBOOL @ ( hAPP @ c_Nat__Numeral_Oneg @ ( hAPP @ ( c_Int_Onumber__class_Onumber__of @ tc_Int_Oint ) @ c_Int_OMin ) ) ).
thf(zip_derived_cl2001,plain,
hBOOL @ ( hAPP @ c_Nat__Numeral_Oneg @ ( hAPP @ ( c_Int_Onumber__class_Onumber__of @ tc_Int_Oint ) @ c_Int_OMin ) ),
inference(cnf,[status(esa)],[fact_neg__number__of__Min]) ).
thf(fact_number__of__is__id,axiom,
! [V_k: $i] :
( ( hAPP @ ( c_Int_Onumber__class_Onumber__of @ tc_Int_Oint ) @ V_k )
= V_k ) ).
thf(zip_derived_cl1851,plain,
! [X0: $i] :
( ( hAPP @ ( c_Int_Onumber__class_Onumber__of @ tc_Int_Oint ) @ X0 )
= X0 ),
inference(cnf,[status(esa)],[fact_number__of__is__id]) ).
thf(zip_derived_cl21585,plain,
hBOOL @ ( hAPP @ c_Nat__Numeral_Oneg @ c_Int_OMin ),
inference(demod,[status(thm)],[zip_derived_cl2001,zip_derived_cl1851]) ).
thf(fact_neg__nat,axiom,
! [V_z: $i] :
( ( hBOOL @ ( hAPP @ c_Nat__Numeral_Oneg @ V_z ) )
=> ( ( hAPP @ c_Int_Onat @ V_z )
= ( c_Groups_Ozero__class_Ozero @ tc_Nat_Onat ) ) ) ).
thf(zip_derived_cl1941,plain,
! [X0: $i] :
( ( ( hAPP @ c_Int_Onat @ X0 )
= ( c_Groups_Ozero__class_Ozero @ tc_Nat_Onat ) )
| ~ ( hBOOL @ ( hAPP @ c_Nat__Numeral_Oneg @ X0 ) ) ),
inference(cnf,[status(esa)],[fact_neg__nat]) ).
thf(zip_derived_cl21593,plain,
( ( hAPP @ c_Int_Onat @ c_Int_OMin )
= ( c_Groups_Ozero__class_Ozero @ tc_Nat_Onat ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl21585,zip_derived_cl1941]) ).
thf(zip_derived_cl21667,plain,
( ( hAPP @ c_Int_Onat @ c_Int_OPls )
= ( hAPP @ c_Int_Onat @ c_Int_OMin ) ),
inference(demod,[status(thm)],[zip_derived_cl18508,zip_derived_cl21593]) ).
thf(zip_derived_cl21682,plain,
~ ( c_Hoare__Mirabelle_Otriple__valid @ t_a @ ( hAPP @ c_Int_Onat @ c_Int_OMin ) @ ( hAPP @ ( hAPP @ ( hAPP @ ( c_Hoare__Mirabelle_Otriple_Otriple @ t_a ) @ v_P ) @ ( hAPP @ c_Com_Ocom_OBODY @ v_pn ) ) @ v_Q ) ),
inference(demod,[status(thm)],[zip_derived_cl18528,zip_derived_cl21667]) ).
thf(fact_triple__valid__def2,axiom,
! [V_Qa_2: $i,V_c_2: $i,V_Pa_2: $i,V_n_2: $i,T_b: $i] :
( ( c_Hoare__Mirabelle_Otriple__valid @ T_b @ V_n_2 @ ( hAPP @ ( hAPP @ ( hAPP @ ( c_Hoare__Mirabelle_Otriple_Otriple @ T_b ) @ V_Pa_2 ) @ V_c_2 ) @ V_Qa_2 ) )
<=> ! [B_Z: $i,B_s: $i] :
( ( hBOOL @ ( hAPP @ ( hAPP @ V_Pa_2 @ B_Z ) @ B_s ) )
=> ! [B_s_H: $i] :
( ( c_Natural_Oevaln @ V_c_2 @ B_s @ V_n_2 @ B_s_H )
=> ( hBOOL @ ( hAPP @ ( hAPP @ V_Qa_2 @ B_Z ) @ B_s_H ) ) ) ) ) ).
thf(zip_derived_cl14,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( ( c_Hoare__Mirabelle_Otriple__valid @ X0 @ X1 @ ( hAPP @ ( hAPP @ ( hAPP @ ( c_Hoare__Mirabelle_Otriple_Otriple @ X0 ) @ X2 ) @ X3 ) @ X4 ) )
| ( c_Natural_Oevaln @ X3 @ ( sk__2 @ X1 @ X2 @ X3 @ X4 ) @ X1 @ ( sk__3 @ X1 @ X2 @ X3 @ X4 ) ) ),
inference(cnf,[status(esa)],[fact_triple__valid__def2]) ).
thf(fact_evaln__elim__cases_I6_J,axiom,
! [V_s1: $i,V_n: $i,V_s: $i,V_P: $i] :
( ( c_Natural_Oevaln @ ( hAPP @ c_Com_Ocom_OBODY @ V_P ) @ V_s @ V_n @ V_s1 )
=> ~ ! [B_n: $i] :
( ( V_n
= ( hAPP @ c_Nat_OSuc @ B_n ) )
=> ~ ( c_Natural_Oevaln @ ( hAPP @ ( c_Option_Othe @ tc_Com_Ocom ) @ ( hAPP @ c_Com_Obody @ V_P ) ) @ V_s @ B_n @ V_s1 ) ) ) ).
thf(zip_derived_cl298,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( X2
= ( hAPP @ c_Nat_OSuc @ ( sk__26 @ X0 @ X1 @ X2 @ X3 ) ) )
| ~ ( c_Natural_Oevaln @ ( hAPP @ c_Com_Ocom_OBODY @ X0 ) @ X1 @ X2 @ X3 ) ),
inference(cnf,[status(esa)],[fact_evaln__elim__cases_I6_J]) ).
thf(fact_Suc__neq__Zero,axiom,
! [V_m: $i] :
( ( hAPP @ c_Nat_OSuc @ V_m )
!= ( c_Groups_Ozero__class_Ozero @ tc_Nat_Onat ) ) ).
thf(zip_derived_cl312,plain,
! [X0: $i] :
( ( hAPP @ c_Nat_OSuc @ X0 )
!= ( c_Groups_Ozero__class_Ozero @ tc_Nat_Onat ) ),
inference(cnf,[status(esa)],[fact_Suc__neq__Zero]) ).
thf(zip_derived_cl18508_002,plain,
( ( hAPP @ c_Int_Onat @ c_Int_OPls )
= ( c_Groups_Ozero__class_Ozero @ tc_Nat_Onat ) ),
inference(demod,[status(thm)],[zip_derived_cl754,zip_derived_cl2036]) ).
thf(zip_derived_cl18523,plain,
! [X0: $i] :
( ( hAPP @ c_Nat_OSuc @ X0 )
!= ( hAPP @ c_Int_Onat @ c_Int_OPls ) ),
inference(demod,[status(thm)],[zip_derived_cl312,zip_derived_cl18508]) ).
thf(zip_derived_cl21667_003,plain,
( ( hAPP @ c_Int_Onat @ c_Int_OPls )
= ( hAPP @ c_Int_Onat @ c_Int_OMin ) ),
inference(demod,[status(thm)],[zip_derived_cl18508,zip_derived_cl21593]) ).
thf(zip_derived_cl21678,plain,
! [X0: $i] :
( ( hAPP @ c_Nat_OSuc @ X0 )
!= ( hAPP @ c_Int_Onat @ c_Int_OMin ) ),
inference(demod,[status(thm)],[zip_derived_cl18523,zip_derived_cl21667]) ).
thf(zip_derived_cl22000,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ ( c_Natural_Oevaln @ ( hAPP @ c_Com_Ocom_OBODY @ X3 ) @ X2 @ X0 @ X1 )
| ( X0
!= ( hAPP @ c_Int_Onat @ c_Int_OMin ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl298,zip_derived_cl21678]) ).
thf(zip_derived_cl22252,plain,
! [X0: $i,X1: $i,X2: $i] :
~ ( c_Natural_Oevaln @ ( hAPP @ c_Com_Ocom_OBODY @ X2 ) @ X1 @ ( hAPP @ c_Int_Onat @ c_Int_OMin ) @ X0 ),
inference(eq_res,[status(thm)],[zip_derived_cl22000]) ).
thf(zip_derived_cl22289,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : ( c_Hoare__Mirabelle_Otriple__valid @ X3 @ ( hAPP @ c_Int_Onat @ c_Int_OMin ) @ ( hAPP @ ( hAPP @ ( hAPP @ ( c_Hoare__Mirabelle_Otriple_Otriple @ X3 ) @ X2 ) @ ( hAPP @ c_Com_Ocom_OBODY @ X1 ) ) @ X0 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl14,zip_derived_cl22252]) ).
thf(zip_derived_cl22313,plain,
$false,
inference(demod,[status(thm)],[zip_derived_cl21682,zip_derived_cl22289]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.08/0.12 % Problem : SWW293+1 : TPTP v8.1.2. Released v5.2.0.
% 0.13/0.13 % Command : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.3KPbEhZ3bT true
% 0.13/0.34 % Computer : n005.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 17:42:08 EDT 2023
% 0.13/0.35 % CPUTime :
% 0.13/0.35 % Running portfolio for 300 s
% 0.13/0.35 % File : /export/starexec/sandbox/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
% 0.21/0.63 % Total configuration time : 435
% 0.21/0.63 % Estimated wc time : 1092
% 0.21/0.63 % Estimated cpu time (7 cpus) : 156.0
% 1.31/0.74 % /export/starexec/sandbox/solver/bin/fo/fo6_bce.sh running for 75s
% 1.31/0.75 % /export/starexec/sandbox/solver/bin/fo/fo1_av.sh running for 75s
% 1.31/0.75 % /export/starexec/sandbox/solver/bin/fo/fo7.sh running for 63s
% 1.31/0.75 % /export/starexec/sandbox/solver/bin/fo/fo3_bce.sh running for 75s
% 1.31/0.75 % /export/starexec/sandbox/solver/bin/fo/fo13.sh running for 50s
% 1.31/0.75 % /export/starexec/sandbox/solver/bin/fo/fo5.sh running for 50s
% 1.31/0.75 % /export/starexec/sandbox/solver/bin/fo/fo4.sh running for 50s
% 29.06/4.74 % Solved by fo/fo6_bce.sh.
% 29.06/4.74 % BCE start: 7471
% 29.06/4.74 % BCE eliminated: 344
% 29.06/4.74 % PE start: 7127
% 29.06/4.74 logic: eq
% 29.06/4.74 % PE eliminated: 226
% 29.06/4.74 % done 1027 iterations in 3.970s
% 29.06/4.74 % SZS status Theorem for '/export/starexec/sandbox/benchmark/theBenchmark.p'
% 29.06/4.74 % SZS output start Refutation
% See solution above
% 29.06/4.74
% 29.06/4.74
% 29.06/4.74 % Terminating...
% 29.58/4.85 % Runner terminated.
% 29.58/4.87 % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------