TSTP Solution File: SWW358+1 by Zipperpin---2.1.9999
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%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : SWW358+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.cG9zinfs5q true
% Computer : n027.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 01:41:41 EDT 2023
% Result : Theorem 200.69s 29.25s
% Output : Refutation 200.69s
% Verified :
% SZS Type : Refutation
% Derivation depth : 7
% Number of leaves : 26
% Syntax : Number of formulae : 44 ( 16 unt; 16 typ; 0 def)
% Number of atoms : 47 ( 8 equ; 0 cnn)
% Maximal formula atoms : 4 ( 1 avg)
% Number of connectives : 326 ( 15 ~; 12 |; 0 &; 292 @)
% ( 0 <=>; 7 =>; 0 <=; 0 <~>)
% Maximal formula depth : 14 ( 8 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 13 ( 13 >; 0 *; 0 +; 0 <<)
% Number of symbols : 18 ( 16 usr; 8 con; 0-3 aty)
% Number of variables : 28 ( 0 ^; 28 !; 0 ?; 28 :)
% Comments :
%------------------------------------------------------------------------------
thf(v_mgt__call_type,type,
v_mgt__call: $i ).
thf(tc_fun_type,type,
tc_fun: $i > $i > $i ).
thf(hBOOL_type,type,
hBOOL: $i > $o ).
thf(c_Set_Oimage_type,type,
c_Set_Oimage: $i > $i > $i > $i ).
thf(class_Orderings_Oorder_type,type,
class_Orderings_Oorder: $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(v_U_type,type,
v_U: $i ).
thf(c_Orderings_Oord__class_Oless_type,type,
c_Orderings_Oord__class_Oless: $i > $i ).
thf(tc_Nat_Onat_type,type,
tc_Nat_Onat: $i ).
thf(v_G_type,type,
v_G: $i ).
thf(tc_Com_Opname_type,type,
tc_Com_Opname: $i ).
thf(tc_HOL_Obool_type,type,
tc_HOL_Obool: $i ).
thf(t_a_type,type,
t_a: $i ).
thf(c_Finite__Set_Ofinite_type,type,
c_Finite__Set_Ofinite: $i > $i ).
thf(c_Finite__Set_Ocard_type,type,
c_Finite__Set_Ocard: $i > $i ).
thf(arity_fun__Orderings_Oorder,axiom,
! [T_2: $i,T_1: $i] :
( ( class_Orderings_Oorder @ T_1 )
=> ( class_Orderings_Oorder @ ( tc_fun @ T_2 @ T_1 ) ) ) ).
thf(zip_derived_cl7355,plain,
! [X0: $i,X1: $i] :
( ( class_Orderings_Oorder @ ( tc_fun @ X0 @ X1 ) )
| ~ ( class_Orderings_Oorder @ X1 ) ),
inference(cnf,[status(esa)],[arity_fun__Orderings_Oorder]) ).
thf(conj_1,axiom,
hBOOL @ ( hAPP @ ( hAPP @ ( c_Orderings_Oord__class_Oless__eq @ ( tc_fun @ t_a @ tc_HOL_Obool ) ) @ v_G ) @ ( hAPP @ ( c_Set_Oimage @ tc_Com_Opname @ t_a @ v_mgt__call ) @ v_U ) ) ).
thf(zip_derived_cl7584,plain,
hBOOL @ ( hAPP @ ( hAPP @ ( c_Orderings_Oord__class_Oless__eq @ ( tc_fun @ t_a @ tc_HOL_Obool ) ) @ v_G ) @ ( hAPP @ ( c_Set_Oimage @ tc_Com_Opname @ t_a @ v_mgt__call ) @ v_U ) ),
inference(cnf,[status(esa)],[conj_1]) ).
thf(fact_xt1_I11_J,axiom,
! [V_a: $i,V_b: $i,T_a: $i] :
( ( class_Orderings_Oorder @ T_a )
=> ( ( hBOOL @ ( hAPP @ ( hAPP @ ( c_Orderings_Oord__class_Oless__eq @ T_a ) @ V_b ) @ V_a ) )
=> ( ( V_a != V_b )
=> ( hBOOL @ ( hAPP @ ( hAPP @ ( c_Orderings_Oord__class_Oless @ T_a ) @ V_b ) @ V_a ) ) ) ) ) ).
thf(zip_derived_cl350,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( X1 = X0 )
| ~ ( class_Orderings_Oorder @ X2 )
| ( hBOOL @ ( hAPP @ ( hAPP @ ( c_Orderings_Oord__class_Oless @ X2 ) @ X0 ) @ X1 ) )
| ~ ( hBOOL @ ( hAPP @ ( hAPP @ ( c_Orderings_Oord__class_Oless__eq @ X2 ) @ X0 ) @ X1 ) ) ),
inference(cnf,[status(esa)],[fact_xt1_I11_J]) ).
thf(zip_derived_cl95638,plain,
( ( hBOOL @ ( hAPP @ ( hAPP @ ( c_Orderings_Oord__class_Oless @ ( tc_fun @ t_a @ tc_HOL_Obool ) ) @ v_G ) @ ( hAPP @ ( c_Set_Oimage @ tc_Com_Opname @ t_a @ v_mgt__call ) @ v_U ) ) )
| ~ ( class_Orderings_Oorder @ ( tc_fun @ t_a @ tc_HOL_Obool ) )
| ( ( hAPP @ ( c_Set_Oimage @ tc_Com_Opname @ t_a @ v_mgt__call ) @ v_U )
= v_G ) ),
inference('sup-',[status(thm)],[zip_derived_cl7584,zip_derived_cl350]) ).
thf(conj_4,conjecture,
( v_G
= ( hAPP @ ( c_Set_Oimage @ tc_Com_Opname @ t_a @ v_mgt__call ) @ v_U ) ) ).
thf(zf_stmt_0,negated_conjecture,
( v_G
!= ( hAPP @ ( c_Set_Oimage @ tc_Com_Opname @ t_a @ v_mgt__call ) @ v_U ) ),
inference('cnf.neg',[status(esa)],[conj_4]) ).
thf(zip_derived_cl7587,plain,
( v_G
!= ( hAPP @ ( c_Set_Oimage @ tc_Com_Opname @ t_a @ v_mgt__call ) @ v_U ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl95673,plain,
( ( hBOOL @ ( hAPP @ ( hAPP @ ( c_Orderings_Oord__class_Oless @ ( tc_fun @ t_a @ tc_HOL_Obool ) ) @ v_G ) @ ( hAPP @ ( c_Set_Oimage @ tc_Com_Opname @ t_a @ v_mgt__call ) @ v_U ) ) )
| ~ ( class_Orderings_Oorder @ ( tc_fun @ t_a @ tc_HOL_Obool ) ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl95638,zip_derived_cl7587]) ).
thf(zip_derived_cl95724,plain,
( ~ ( class_Orderings_Oorder @ tc_HOL_Obool )
| ( hBOOL @ ( hAPP @ ( hAPP @ ( c_Orderings_Oord__class_Oless @ ( tc_fun @ t_a @ tc_HOL_Obool ) ) @ v_G ) @ ( hAPP @ ( c_Set_Oimage @ tc_Com_Opname @ t_a @ v_mgt__call ) @ v_U ) ) ) ),
inference('sup-',[status(thm)],[zip_derived_cl7355,zip_derived_cl95673]) ).
thf(arity_HOL__Obool__Orderings_Oorder,axiom,
class_Orderings_Oorder @ tc_HOL_Obool ).
thf(zip_derived_cl7494,plain,
class_Orderings_Oorder @ tc_HOL_Obool,
inference(cnf,[status(esa)],[arity_HOL__Obool__Orderings_Oorder]) ).
thf(zip_derived_cl95725,plain,
hBOOL @ ( hAPP @ ( hAPP @ ( c_Orderings_Oord__class_Oless @ ( tc_fun @ t_a @ tc_HOL_Obool ) ) @ v_G ) @ ( hAPP @ ( c_Set_Oimage @ tc_Com_Opname @ t_a @ v_mgt__call ) @ v_U ) ),
inference(demod,[status(thm)],[zip_derived_cl95724,zip_derived_cl7494]) ).
thf(fact_psubset__card__mono,axiom,
! [V_A_2: $i,V_B_2: $i,T_b: $i] :
( ( hBOOL @ ( hAPP @ ( c_Finite__Set_Ofinite @ T_b ) @ V_B_2 ) )
=> ( ( hBOOL @ ( hAPP @ ( hAPP @ ( c_Orderings_Oord__class_Oless @ ( tc_fun @ T_b @ tc_HOL_Obool ) ) @ V_A_2 ) @ V_B_2 ) )
=> ( hBOOL @ ( hAPP @ ( hAPP @ ( c_Orderings_Oord__class_Oless @ tc_Nat_Onat ) @ ( hAPP @ ( c_Finite__Set_Ocard @ T_b ) @ V_A_2 ) ) @ ( hAPP @ ( c_Finite__Set_Ocard @ T_b ) @ V_B_2 ) ) ) ) ) ).
thf(zip_derived_cl420,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ ( hBOOL @ ( hAPP @ ( hAPP @ ( c_Orderings_Oord__class_Oless @ ( tc_fun @ X0 @ tc_HOL_Obool ) ) @ X1 ) @ X2 ) )
| ( hBOOL @ ( hAPP @ ( hAPP @ ( c_Orderings_Oord__class_Oless @ tc_Nat_Onat ) @ ( hAPP @ ( c_Finite__Set_Ocard @ X0 ) @ X1 ) ) @ ( hAPP @ ( c_Finite__Set_Ocard @ X0 ) @ X2 ) ) )
| ~ ( hBOOL @ ( hAPP @ ( c_Finite__Set_Ofinite @ X0 ) @ X2 ) ) ),
inference(cnf,[status(esa)],[fact_psubset__card__mono]) ).
thf(zip_derived_cl103598,plain,
( ~ ( hBOOL @ ( hAPP @ ( c_Finite__Set_Ofinite @ t_a ) @ ( hAPP @ ( c_Set_Oimage @ tc_Com_Opname @ t_a @ v_mgt__call ) @ v_U ) ) )
| ( hBOOL @ ( hAPP @ ( hAPP @ ( c_Orderings_Oord__class_Oless @ tc_Nat_Onat ) @ ( hAPP @ ( c_Finite__Set_Ocard @ t_a ) @ v_G ) ) @ ( hAPP @ ( c_Finite__Set_Ocard @ t_a ) @ ( hAPP @ ( c_Set_Oimage @ tc_Com_Opname @ t_a @ v_mgt__call ) @ v_U ) ) ) ) ),
inference('sup-',[status(thm)],[zip_derived_cl95725,zip_derived_cl420]) ).
thf(conj_0,axiom,
hBOOL @ ( hAPP @ ( c_Finite__Set_Ofinite @ tc_Com_Opname ) @ v_U ) ).
thf(zip_derived_cl7583,plain,
hBOOL @ ( hAPP @ ( c_Finite__Set_Ofinite @ tc_Com_Opname ) @ v_U ),
inference(cnf,[status(esa)],[conj_0]) ).
thf(fact_finite__imageI,axiom,
! [V_h_2: $i,T_c: $i,V_F_2: $i,T_b: $i] :
( ( hBOOL @ ( hAPP @ ( c_Finite__Set_Ofinite @ T_b ) @ V_F_2 ) )
=> ( hBOOL @ ( hAPP @ ( c_Finite__Set_Ofinite @ T_c ) @ ( hAPP @ ( c_Set_Oimage @ T_b @ T_c @ V_h_2 ) @ V_F_2 ) ) ) ) ).
thf(zip_derived_cl2,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( hBOOL @ ( hAPP @ ( c_Finite__Set_Ofinite @ X0 ) @ ( hAPP @ ( c_Set_Oimage @ X1 @ X0 @ X2 ) @ X3 ) ) )
| ~ ( hBOOL @ ( hAPP @ ( c_Finite__Set_Ofinite @ X1 ) @ X3 ) ) ),
inference(cnf,[status(esa)],[fact_finite__imageI]) ).
thf(zip_derived_cl7711,plain,
! [X0: $i,X1: $i] : ( hBOOL @ ( hAPP @ ( c_Finite__Set_Ofinite @ X1 ) @ ( hAPP @ ( c_Set_Oimage @ tc_Com_Opname @ X1 @ X0 ) @ v_U ) ) ),
inference('sup-',[status(thm)],[zip_derived_cl7583,zip_derived_cl2]) ).
thf(conj_2,axiom,
( ( hAPP @ ( c_Finite__Set_Ocard @ t_a ) @ v_G )
= ( hAPP @ ( c_Finite__Set_Ocard @ t_a ) @ ( hAPP @ ( c_Set_Oimage @ tc_Com_Opname @ t_a @ v_mgt__call ) @ v_U ) ) ) ).
thf(zip_derived_cl7585,plain,
( ( hAPP @ ( c_Finite__Set_Ocard @ t_a ) @ v_G )
= ( hAPP @ ( c_Finite__Set_Ocard @ t_a ) @ ( hAPP @ ( c_Set_Oimage @ tc_Com_Opname @ t_a @ v_mgt__call ) @ v_U ) ) ),
inference(cnf,[status(esa)],[conj_2]) ).
thf(fact_less__irrefl__nat,axiom,
! [V_n: $i] :
~ ( hBOOL @ ( hAPP @ ( hAPP @ ( c_Orderings_Oord__class_Oless @ tc_Nat_Onat ) @ V_n ) @ V_n ) ) ).
thf(zip_derived_cl436,plain,
! [X0: $i] :
~ ( hBOOL @ ( hAPP @ ( hAPP @ ( c_Orderings_Oord__class_Oless @ tc_Nat_Onat ) @ X0 ) @ X0 ) ),
inference(cnf,[status(esa)],[fact_less__irrefl__nat]) ).
thf(zip_derived_cl103604,plain,
$false,
inference(demod,[status(thm)],[zip_derived_cl103598,zip_derived_cl7711,zip_derived_cl7585,zip_derived_cl436]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.10 % Problem : SWW358+1 : TPTP v8.1.2. Released v5.2.0.
% 0.00/0.11 % Command : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.cG9zinfs5q true
% 0.11/0.32 % Computer : n027.cluster.edu
% 0.11/0.32 % Model : x86_64 x86_64
% 0.11/0.32 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.32 % Memory : 8042.1875MB
% 0.11/0.32 % OS : Linux 3.10.0-693.el7.x86_64
% 0.11/0.32 % CPULimit : 300
% 0.11/0.32 % WCLimit : 300
% 0.11/0.32 % DateTime : Sun Aug 27 19:40:51 EDT 2023
% 0.11/0.32 % CPUTime :
% 0.11/0.32 % Running portfolio for 300 s
% 0.11/0.32 % File : /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.11/0.33 % Number of cores: 8
% 0.11/0.33 % Python version: Python 3.6.8
% 0.11/0.33 % Running in FO mode
% 0.17/0.59 % Total configuration time : 435
% 0.17/0.59 % Estimated wc time : 1092
% 0.17/0.59 % Estimated cpu time (7 cpus) : 156.0
% 0.17/0.70 % /export/starexec/sandbox2/solver/bin/fo/fo6_bce.sh running for 75s
% 0.17/0.70 % /export/starexec/sandbox2/solver/bin/fo/fo1_av.sh running for 75s
% 0.17/0.70 % /export/starexec/sandbox2/solver/bin/fo/fo3_bce.sh running for 75s
% 0.17/0.70 % /export/starexec/sandbox2/solver/bin/fo/fo7.sh running for 63s
% 0.17/0.70 % /export/starexec/sandbox2/solver/bin/fo/fo13.sh running for 50s
% 0.17/0.70 % /export/starexec/sandbox2/solver/bin/fo/fo5.sh running for 50s
% 0.17/0.70 % /export/starexec/sandbox2/solver/bin/fo/fo4.sh running for 50s
% 200.69/29.25 % Solved by fo/fo5.sh.
% 200.69/29.25 % done 6400 iterations in 28.524s
% 200.69/29.25 % SZS status Theorem for '/export/starexec/sandbox2/benchmark/theBenchmark.p'
% 200.69/29.25 % SZS output start Refutation
% See solution above
% 200.69/29.25
% 200.69/29.25
% 200.69/29.25 % Terminating...
% 201.29/29.36 % Runner terminated.
% 201.29/29.38 % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------