TSTP Solution File: ITP305_1 by Zipperpin---2.1.9999
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%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : ITP305_1 : TPTP v8.1.2. Released v8.0.0.
% Transfm : NO INFORMATION
% Format : NO INFORMATION
% Command : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.vYZLRLLklb 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 : Thu Aug 31 05:24:36 EDT 2023
% Result : Theorem 1.03s 0.88s
% Output : Refutation 1.03s
% Verified :
% SZS Type : Refutation
% Derivation depth : 5
% Number of leaves : 40
% Syntax : Number of formulae : 54 ( 18 unt; 33 typ; 0 def)
% Number of atoms : 33 ( 12 equ; 0 cnn)
% Maximal formula atoms : 6 ( 1 avg)
% Number of connectives : 311 ( 10 ~; 7 |; 4 &; 289 @)
% ( 0 <=>; 1 =>; 0 <=; 0 <~>)
% Maximal formula depth : 14 ( 4 avg)
% Number of types : 13 ( 12 usr)
% Number of type conns : 33 ( 33 >; 0 *; 0 +; 0 <<)
% Number of symbols : 23 ( 21 usr; 5 con; 0-4 aty)
% Number of variables : 8 ( 0 ^; 8 !; 0 ?; 8 :)
% Comments :
%------------------------------------------------------------------------------
thf('A_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_NatTrans_ext$_type',type,
'A_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_NatTrans_ext$': $tType ).
thf('B_a_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_NatTrans_ext_fun$_type',type,
'B_a_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_NatTrans_ext_fun$': $tType ).
thf('A_a_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_Functor_ext_b_a_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_NatTrans_ext_b_c_LSCategory_ext_unit_unit_Functor_ext$_type',type,
'A_a_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_Functor_ext_b_a_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_NatTrans_ext_b_c_LSCategory_ext_unit_unit_Functor_ext$': $tType ).
thf('A_b_b_c_LSCategory_ext_Category_ext$_type',type,
'A_b_b_c_LSCategory_ext_Category_ext$': $tType ).
thf('B$_type',type,
'B$': $tType ).
thf('ZF$_type',type,
'ZF$': $tType ).
thf('A$_type',type,
'A$': $tType ).
thf('A_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_Functor_ext$_type',type,
'A_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_Functor_ext$': $tType ).
thf('B_ZF_fun$_type',type,
'B_ZF_fun$': $tType ).
thf('ZF_bool_fun$_type',type,
'ZF_bool_fun$': $tType ).
thf('A_set$_type',type,
'A_set$': $tType ).
thf('A_bool_fun$_type',type,
'A_bool_fun$': $tType ).
thf('yMapInv$_type',type,
'yMapInv$': 'A_b_b_c_LSCategory_ext_Category_ext$' > 'A$' > 'A_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_Functor_ext$' > 'ZF$' > 'A_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_NatTrans_ext$' ).
thf('zF2mor$_type',type,
'zF2mor$': 'A_b_b_c_LSCategory_ext_Category_ext$' > 'ZF$' > 'B$' ).
thf('yFtor$_type',type,
'yFtor$': 'A_b_b_c_LSCategory_ext_Category_ext$' > 'A_a_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_Functor_ext_b_a_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_NatTrans_ext_b_c_LSCategory_ext_unit_unit_Functor_ext$' ).
thf('obj$b_type',type,
'obj$b': 'A_b_b_c_LSCategory_ext_Category_ext$' > 'A_set$' ).
thf('elem$_type',type,
'elem$': 'ZF$' > 'ZF_bool_fun$' ).
thf('mapO$_type',type,
'mapO$': 'A_a_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_Functor_ext_b_a_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_NatTrans_ext_b_c_LSCategory_ext_unit_unit_Functor_ext$' > 'A$' > 'A_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_Functor_ext$' ).
thf('lSCategory$_type',type,
'lSCategory$': 'A_b_b_c_LSCategory_ext_Category_ext$' > $o ).
thf('y$_type',type,
'y$': 'A$' ).
thf('fun_app$q_type',type,
'fun_app$q': 'B_a_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_NatTrans_ext_fun$' > 'B$' > 'A_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_NatTrans_ext$' ).
thf('eta$_type',type,
'eta$': 'A_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_NatTrans_ext$' ).
thf('mapsTo$_type',type,
'mapsTo$': 'A_b_b_c_LSCategory_ext_Category_ext$' > 'B$' > 'A$' > 'A_bool_fun$' ).
thf('fun_app$l_type',type,
'fun_app$l': 'A_bool_fun$' > 'A$' > $o ).
thf('x$_type',type,
'x$': 'A$' ).
thf('mor2ZF$_type',type,
'mor2ZF$': 'A_b_b_c_LSCategory_ext_Category_ext$' > 'B_ZF_fun$' ).
thf('mapM$_type',type,
'mapM$': 'A_a_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_Functor_ext_b_a_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_NatTrans_ext_b_c_LSCategory_ext_unit_unit_Functor_ext$' > 'B_a_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_NatTrans_ext_fun$' ).
thf('member$i_type',type,
'member$i': 'A$' > 'A_set$' > $o ).
thf('fun_app$b_type',type,
'fun_app$b': 'ZF_bool_fun$' > 'ZF$' > $o ).
thf('homSet$_type',type,
'homSet$': 'A_b_b_c_LSCategory_ext_Category_ext$' > 'A$' > 'A$' > 'ZF$' ).
thf('fun_app$p_type',type,
'fun_app$p': 'B_ZF_fun$' > 'B$' > 'ZF$' ).
thf('c$_type',type,
'c$': 'A_b_b_c_LSCategory_ext_Category_ext$' ).
thf('yMap$_type',type,
'yMap$': 'A_b_b_c_LSCategory_ext_Category_ext$' > 'A$' > 'A_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_NatTrans_ext$' > 'ZF$' ).
thf(axiom40,axiom,
( ( 'fun_app$q' @ ( 'mapM$' @ ( 'yFtor$' @ 'c$' ) ) @ ( 'zF2mor$' @ 'c$' @ ( 'yMap$' @ 'c$' @ 'x$' @ 'eta$' ) ) )
= ( 'yMapInv$' @ 'c$' @ 'x$' @ ( 'mapO$' @ ( 'yFtor$' @ 'c$' ) @ 'y$' ) @ ( 'fun_app$p' @ ( 'mor2ZF$' @ 'c$' ) @ ( 'zF2mor$' @ 'c$' @ ( 'yMap$' @ 'c$' @ 'x$' @ 'eta$' ) ) ) ) ) ).
thf(zip_derived_cl5,plain,
( ( 'fun_app$q' @ ( 'mapM$' @ ( 'yFtor$' @ 'c$' ) ) @ ( 'zF2mor$' @ 'c$' @ ( 'yMap$' @ 'c$' @ 'x$' @ 'eta$' ) ) )
= ( 'yMapInv$' @ 'c$' @ 'x$' @ ( 'mapO$' @ ( 'yFtor$' @ 'c$' ) @ 'y$' ) @ ( 'fun_app$p' @ ( 'mor2ZF$' @ 'c$' ) @ ( 'zF2mor$' @ 'c$' @ ( 'yMap$' @ 'c$' @ 'x$' @ 'eta$' ) ) ) ) ),
inference(cnf,[status(esa)],[axiom40]) ).
thf(axiom39,axiom,
'fun_app$b' @ ( 'elem$' @ ( 'yMap$' @ 'c$' @ 'x$' @ 'eta$' ) ) @ ( 'homSet$' @ 'c$' @ 'x$' @ 'y$' ) ).
thf(zip_derived_cl4,plain,
'fun_app$b' @ ( 'elem$' @ ( 'yMap$' @ 'c$' @ 'x$' @ 'eta$' ) ) @ ( 'homSet$' @ 'c$' @ 'x$' @ 'y$' ),
inference(cnf,[status(esa)],[axiom39]) ).
thf(axiom71,axiom,
! [A__questionmark_v0: 'A_b_b_c_LSCategory_ext_Category_ext$',A__questionmark_v1: 'A$',A__questionmark_v2: 'A$',A__questionmark_v3: 'ZF$'] :
( ( ( 'lSCategory$' @ A__questionmark_v0 )
& ( 'member$i' @ A__questionmark_v1 @ ( 'obj$b' @ A__questionmark_v0 ) )
& ( 'member$i' @ A__questionmark_v2 @ ( 'obj$b' @ A__questionmark_v0 ) )
& ( 'fun_app$b' @ ( 'elem$' @ A__questionmark_v3 ) @ ( 'homSet$' @ A__questionmark_v0 @ A__questionmark_v1 @ A__questionmark_v2 ) ) )
=> ( ( 'fun_app$l' @ ( 'mapsTo$' @ A__questionmark_v0 @ ( 'zF2mor$' @ A__questionmark_v0 @ A__questionmark_v3 ) @ A__questionmark_v1 ) @ A__questionmark_v2 )
& ( ( 'fun_app$p' @ ( 'mor2ZF$' @ A__questionmark_v0 ) @ ( 'zF2mor$' @ A__questionmark_v0 @ A__questionmark_v3 ) )
= A__questionmark_v3 ) ) ) ).
thf(zip_derived_cl20,plain,
! [X0: 'A$',X1: 'A_b_b_c_LSCategory_ext_Category_ext$',X2: 'A$',X3: 'ZF$'] :
( ~ ( 'member$i' @ X0 @ ( 'obj$b' @ X1 ) )
| ~ ( 'member$i' @ X2 @ ( 'obj$b' @ X1 ) )
| ~ ( 'lSCategory$' @ X1 )
| ~ ( 'fun_app$b' @ ( 'elem$' @ X3 ) @ ( 'homSet$' @ X1 @ X2 @ X0 ) )
| ( ( 'fun_app$p' @ ( 'mor2ZF$' @ X1 ) @ ( 'zF2mor$' @ X1 @ X3 ) )
= X3 ) ),
inference(cnf,[status(esa)],[axiom71]) ).
thf(zip_derived_cl55,plain,
( ( ( 'fun_app$p' @ ( 'mor2ZF$' @ 'c$' ) @ ( 'zF2mor$' @ 'c$' @ ( 'yMap$' @ 'c$' @ 'x$' @ 'eta$' ) ) )
= ( 'yMap$' @ 'c$' @ 'x$' @ 'eta$' ) )
| ~ ( 'lSCategory$' @ 'c$' )
| ~ ( 'member$i' @ 'x$' @ ( 'obj$b' @ 'c$' ) )
| ~ ( 'member$i' @ 'y$' @ ( 'obj$b' @ 'c$' ) ) ),
inference('sup-',[status(thm)],[zip_derived_cl4,zip_derived_cl20]) ).
thf(axiom35,axiom,
'lSCategory$' @ 'c$' ).
thf(zip_derived_cl0,plain,
'lSCategory$' @ 'c$',
inference(cnf,[status(esa)],[axiom35]) ).
thf(axiom36,axiom,
'member$i' @ 'x$' @ ( 'obj$b' @ 'c$' ) ).
thf(zip_derived_cl1,plain,
'member$i' @ 'x$' @ ( 'obj$b' @ 'c$' ),
inference(cnf,[status(esa)],[axiom36]) ).
thf(axiom37,axiom,
'member$i' @ 'y$' @ ( 'obj$b' @ 'c$' ) ).
thf(zip_derived_cl2,plain,
'member$i' @ 'y$' @ ( 'obj$b' @ 'c$' ),
inference(cnf,[status(esa)],[axiom37]) ).
thf(zip_derived_cl56,plain,
( ( 'fun_app$p' @ ( 'mor2ZF$' @ 'c$' ) @ ( 'zF2mor$' @ 'c$' @ ( 'yMap$' @ 'c$' @ 'x$' @ 'eta$' ) ) )
= ( 'yMap$' @ 'c$' @ 'x$' @ 'eta$' ) ),
inference(demod,[status(thm)],[zip_derived_cl55,zip_derived_cl0,zip_derived_cl1,zip_derived_cl2]) ).
thf(zip_derived_cl77,plain,
( ( 'fun_app$q' @ ( 'mapM$' @ ( 'yFtor$' @ 'c$' ) ) @ ( 'zF2mor$' @ 'c$' @ ( 'yMap$' @ 'c$' @ 'x$' @ 'eta$' ) ) )
= ( 'yMapInv$' @ 'c$' @ 'x$' @ ( 'mapO$' @ ( 'yFtor$' @ 'c$' ) @ 'y$' ) @ ( 'yMap$' @ 'c$' @ 'x$' @ 'eta$' ) ) ),
inference(demod,[status(thm)],[zip_derived_cl5,zip_derived_cl56]) ).
thf(conjecture34,conjecture,
( ( 'yMapInv$' @ 'c$' @ 'x$' @ ( 'mapO$' @ ( 'yFtor$' @ 'c$' ) @ 'y$' ) @ ( 'fun_app$p' @ ( 'mor2ZF$' @ 'c$' ) @ ( 'zF2mor$' @ 'c$' @ ( 'yMap$' @ 'c$' @ 'x$' @ 'eta$' ) ) ) )
= ( 'yMapInv$' @ 'c$' @ 'x$' @ ( 'mapO$' @ ( 'yFtor$' @ 'c$' ) @ 'y$' ) @ ( 'yMap$' @ 'c$' @ 'x$' @ 'eta$' ) ) ) ).
thf(zf_stmt_0,negated_conjecture,
( ( 'yMapInv$' @ 'c$' @ 'x$' @ ( 'mapO$' @ ( 'yFtor$' @ 'c$' ) @ 'y$' ) @ ( 'fun_app$p' @ ( 'mor2ZF$' @ 'c$' ) @ ( 'zF2mor$' @ 'c$' @ ( 'yMap$' @ 'c$' @ 'x$' @ 'eta$' ) ) ) )
!= ( 'yMapInv$' @ 'c$' @ 'x$' @ ( 'mapO$' @ ( 'yFtor$' @ 'c$' ) @ 'y$' ) @ ( 'yMap$' @ 'c$' @ 'x$' @ 'eta$' ) ) ),
inference('cnf.neg',[status(esa)],[conjecture34]) ).
thf(zip_derived_cl29,plain,
( ( 'yMapInv$' @ 'c$' @ 'x$' @ ( 'mapO$' @ ( 'yFtor$' @ 'c$' ) @ 'y$' ) @ ( 'fun_app$p' @ ( 'mor2ZF$' @ 'c$' ) @ ( 'zF2mor$' @ 'c$' @ ( 'yMap$' @ 'c$' @ 'x$' @ 'eta$' ) ) ) )
!= ( 'yMapInv$' @ 'c$' @ 'x$' @ ( 'mapO$' @ ( 'yFtor$' @ 'c$' ) @ 'y$' ) @ ( 'yMap$' @ 'c$' @ 'x$' @ 'eta$' ) ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl5_001,plain,
( ( 'fun_app$q' @ ( 'mapM$' @ ( 'yFtor$' @ 'c$' ) ) @ ( 'zF2mor$' @ 'c$' @ ( 'yMap$' @ 'c$' @ 'x$' @ 'eta$' ) ) )
= ( 'yMapInv$' @ 'c$' @ 'x$' @ ( 'mapO$' @ ( 'yFtor$' @ 'c$' ) @ 'y$' ) @ ( 'fun_app$p' @ ( 'mor2ZF$' @ 'c$' ) @ ( 'zF2mor$' @ 'c$' @ ( 'yMap$' @ 'c$' @ 'x$' @ 'eta$' ) ) ) ) ),
inference(cnf,[status(esa)],[axiom40]) ).
thf(zip_derived_cl40,plain,
( ( 'fun_app$q' @ ( 'mapM$' @ ( 'yFtor$' @ 'c$' ) ) @ ( 'zF2mor$' @ 'c$' @ ( 'yMap$' @ 'c$' @ 'x$' @ 'eta$' ) ) )
!= ( 'yMapInv$' @ 'c$' @ 'x$' @ ( 'mapO$' @ ( 'yFtor$' @ 'c$' ) @ 'y$' ) @ ( 'yMap$' @ 'c$' @ 'x$' @ 'eta$' ) ) ),
inference(demod,[status(thm)],[zip_derived_cl29,zip_derived_cl5]) ).
thf(zip_derived_cl78,plain,
$false,
inference('simplify_reflect-',[status(thm)],[zip_derived_cl77,zip_derived_cl40]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.12/0.14 % Problem : ITP305_1 : TPTP v8.1.2. Released v8.0.0.
% 0.12/0.15 % Command : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.vYZLRLLklb true
% 0.14/0.36 % Computer : n005.cluster.edu
% 0.14/0.36 % Model : x86_64 x86_64
% 0.14/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.36 % Memory : 8042.1875MB
% 0.14/0.36 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.36 % CPULimit : 300
% 0.14/0.36 % WCLimit : 300
% 0.14/0.36 % DateTime : Sun Aug 27 12:51:53 EDT 2023
% 0.14/0.36 % CPUTime :
% 0.14/0.36 % Running portfolio for 300 s
% 0.14/0.36 % File : /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.14/0.36 % Number of cores: 8
% 0.14/0.37 % Python version: Python 3.6.8
% 0.14/0.37 % Running in FO mode
% 0.54/0.66 % Total configuration time : 435
% 0.54/0.66 % Estimated wc time : 1092
% 0.54/0.66 % Estimated cpu time (7 cpus) : 156.0
% 0.54/0.73 % /export/starexec/sandbox/solver/bin/fo/fo6_bce.sh running for 75s
% 0.94/0.75 % /export/starexec/sandbox/solver/bin/fo/fo3_bce.sh running for 75s
% 0.94/0.76 % /export/starexec/sandbox/solver/bin/fo/fo1_av.sh running for 75s
% 0.94/0.78 % /export/starexec/sandbox/solver/bin/fo/fo7.sh running for 63s
% 0.94/0.78 % /export/starexec/sandbox/solver/bin/fo/fo13.sh running for 50s
% 0.94/0.78 % /export/starexec/sandbox/solver/bin/fo/fo4.sh running for 50s
% 1.03/0.78 % /export/starexec/sandbox/solver/bin/fo/fo5.sh running for 50s
% 1.03/0.88 % Solved by fo/fo4.sh.
% 1.03/0.88 % done 32 iterations in 0.080s
% 1.03/0.88 % SZS status Theorem for '/export/starexec/sandbox/benchmark/theBenchmark.p'
% 1.03/0.88 % SZS output start Refutation
% See solution above
% 1.03/0.88
% 1.03/0.88
% 1.03/0.88 % Terminating...
% 1.08/0.98 % Runner terminated.
% 1.08/1.00 % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------