TSTP Solution File: ITP180^1 by Zipperpin---2.1.9999
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- Process Solution
%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : ITP180^1 : TPTP v8.1.2. Released v7.5.0.
% Transfm : NO INFORMATION
% Format : NO INFORMATION
% Command : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.pYW5J6YMlB true
% Computer : n001.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 05:22:41 EDT 2023
% Result : Theorem 31.18s 4.71s
% Output : Refutation 31.18s
% Verified :
% SZS Type : Refutation
% Derivation depth : 12
% Number of leaves : 30
% Syntax : Number of formulae : 46 ( 9 unt; 26 typ; 0 def)
% Number of atoms : 71 ( 0 equ; 10 cnn)
% Maximal formula atoms : 10 ( 3 avg)
% Number of connectives : 489 ( 8 ~; 4 |; 0 &; 440 @)
% ( 0 <=>; 17 =>; 0 <=; 0 <~>)
% Maximal formula depth : 21 ( 11 avg)
% Number of types : 8 ( 7 usr)
% Number of type conns : 38 ( 38 >; 0 *; 0 +; 0 <<)
% Number of symbols : 22 ( 19 usr; 6 con; 0-6 aty)
% ( 20 !!; 0 ??; 0 @@+; 0 @@-)
% Number of variables : 48 ( 5 ^; 31 !; 0 ?; 48 :)
% ( 12 !>; 0 ?*; 0 @-; 0 @+)
% Comments :
%------------------------------------------------------------------------------
thf(labele2115946735nt_V_V_type,type,
labele2115946735nt_V_V: $tType ).
thf(set_Product_prod_V_V_type,type,
set_Product_prod_V_V: $tType ).
thf(set_V_type,type,
set_V: $tType ).
thf(product_prod_V_V_type,type,
product_prod_V_V: $tType ).
thf(v_type,type,
v: $tType ).
thf(standard_Constant_V_type,type,
standard_Constant_V: $tType ).
thf(v2_type,type,
v2: $tType ).
thf(standard_S_Const_V_type,type,
standard_S_Const_V: v2 > standard_Constant_V ).
thf(bNF_Gr_V_V2_type,type,
bNF_Gr_V_V2: set_V > ( v > v ) > set_Product_prod_V_V ).
thf(labele1134902411nt_V_V_type,type,
labele1134902411nt_V_V: labele2115946735nt_V_V > set_V ).
thf(id_on_V2_type,type,
id_on_V2: set_V > set_Product_prod_V_V ).
thf(member2015049524od_V_V_type,type,
member2015049524od_V_V: product_prod_V_V > set_Product_prod_V_V > $o ).
thf(xa_type,type,
xa: v2 ).
thf(y_type,type,
y: v2 ).
thf(g_type,type,
g: labele2115946735nt_V_V ).
thf(graph_1808119_V_V_V_type,type,
graph_1808119_V_V_V: labele2115946735nt_V_V > labele2115946735nt_V_V > set_Product_prod_V_V > $o ).
thf(map_gr907434255tant_V_type,type,
map_gr907434255tant_V: set_Product_prod_V_V > labele2115946735nt_V_V > labele2115946735nt_V_V ).
thf(getRel1432786916nt_V_V_type,type,
getRel1432786916nt_V_V: standard_Constant_V > labele2115946735nt_V_V > set_Product_prod_V_V ).
thf(m_type,type,
m: v2 > v ).
thf(product_Pair_V_V2_type,type,
product_Pair_V_V2: v > v > product_prod_V_V ).
thf(h_type,type,
h: v > v ).
thf(s_comb_type,type,
'#S':
!>[A: $tType,B: $tType,C: $tType] : ( ( A > B > C ) > ( A > B ) > A > C ) ).
thf(c_comb_type,type,
'#C':
!>[A: $tType,B: $tType,C: $tType] : ( ( A > B > C ) > B > A > C ) ).
thf(b_comb_type,type,
'#B':
!>[A: $tType,B: $tType,C: $tType] : ( ( A > B ) > ( C > A ) > C > B ) ).
thf(k_comb_type,type,
'#K':
!>[A: $tType,B: $tType] : ( B > A > B ) ).
thf(i_comb_type,type,
'#I':
!>[A: $tType] : ( A > A ) ).
thf(fact_8_h_I3_J,axiom,
graph_1808119_V_V_V @ ( map_gr907434255tant_V @ ( bNF_Gr_V_V2 @ ( labele1134902411nt_V_V @ g ) @ h ) @ g ) @ g @ ( id_on_V2 @ ( labele1134902411nt_V_V @ ( map_gr907434255tant_V @ ( bNF_Gr_V_V2 @ ( labele1134902411nt_V_V @ g ) @ h ) @ g ) ) ) ).
thf(zip_derived_cl8,plain,
graph_1808119_V_V_V @ ( map_gr907434255tant_V @ ( bNF_Gr_V_V2 @ ( labele1134902411nt_V_V @ g ) @ h ) @ g ) @ g @ ( id_on_V2 @ ( labele1134902411nt_V_V @ ( map_gr907434255tant_V @ ( bNF_Gr_V_V2 @ ( labele1134902411nt_V_V @ g ) @ h ) @ g ) ) ),
inference(cnf,[status(esa)],[fact_8_h_I3_J]) ).
thf(fact_38_getRel__subgraph,axiom,
! [Y: v,Z: v,L: standard_Constant_V,G: labele2115946735nt_V_V,G2: labele2115946735nt_V_V] :
( ( member2015049524od_V_V @ ( product_Pair_V_V2 @ Y @ Z ) @ ( getRel1432786916nt_V_V @ L @ G ) )
=> ( ( graph_1808119_V_V_V @ G @ G2 @ ( id_on_V2 @ ( labele1134902411nt_V_V @ G ) ) )
=> ( member2015049524od_V_V @ ( product_Pair_V_V2 @ Y @ Z ) @ ( getRel1432786916nt_V_V @ L @ G2 ) ) ) ) ).
thf(zip_derived_cl50,plain,
( !!
@ ^ [Y0: v] :
( !!
@ ^ [Y1: v] :
( !!
@ ^ [Y2: standard_Constant_V] :
( !!
@ ^ [Y3: labele2115946735nt_V_V] :
( !!
@ ^ [Y4: labele2115946735nt_V_V] :
( ( member2015049524od_V_V @ ( product_Pair_V_V2 @ Y0 @ Y1 ) @ ( getRel1432786916nt_V_V @ Y2 @ Y3 ) )
=> ( ( graph_1808119_V_V_V @ Y3 @ Y4 @ ( id_on_V2 @ ( labele1134902411nt_V_V @ Y3 ) ) )
=> ( member2015049524od_V_V @ ( product_Pair_V_V2 @ Y0 @ Y1 ) @ ( getRel1432786916nt_V_V @ Y2 @ Y4 ) ) ) ) ) ) ) ) ),
inference(cnf,[status(esa)],[fact_38_getRel__subgraph]) ).
thf(zip_derived_cl51,plain,
!! @ ( '#B' @ !! @ ( '#B' @ ( '#B' @ !! ) @ ( '#B' @ ( '#B' @ ( '#B' @ !! ) ) @ ( '#B' @ ( '#B' @ ( '#B' @ ( '#B' @ !! ) ) ) @ ( '#S' @ ( '#B' @ '#S' @ ( '#B' @ ( '#B' @ '#S' ) @ ( '#B' @ ( '#B' @ ( '#B' @ '#S' ) ) @ ( '#B' @ ( '#B' @ ( '#B' @ ( '#B' @ '#B' ) ) ) @ ( '#B' @ ( '#B' @ ( '#B' @ ( '#B' @ (=>) ) ) ) @ ( '#C' @ ( '#B' @ '#C' @ ( '#B' @ ( '#B' @ '#B' ) @ ( '#B' @ ( '#B' @ '#B' ) @ ( '#B' @ ( '#B' @ member2015049524od_V_V ) @ product_Pair_V_V2 ) ) ) ) @ getRel1432786916nt_V_V ) ) ) ) ) ) @ ( '#B' @ ( '#B' @ ( '#B' @ ( '#C' @ ( '#B' @ '#S' @ ( '#B' @ ( '#B' @ (=>) ) @ ( '#S' @ ( '#B' @ '#C' @ graph_1808119_V_V_V ) @ ( '#B' @ id_on_V2 @ labele1134902411nt_V_V ) ) ) ) ) ) ) @ ( '#C' @ ( '#B' @ '#C' @ ( '#B' @ ( '#B' @ '#B' ) @ ( '#B' @ ( '#B' @ '#B' ) @ ( '#B' @ ( '#B' @ member2015049524od_V_V ) @ product_Pair_V_V2 ) ) ) ) @ getRel1432786916nt_V_V ) ) ) ) ) ) ),
inference(lams2combs,[status(thm)],[zip_derived_cl50]) ).
thf(zip_derived_cl1008,plain,
! [X2: v] : ( !! @ ( '#B' @ !! @ ( '#B' @ ( '#B' @ !! ) @ ( '#B' @ ( '#B' @ ( '#B' @ !! ) ) @ ( '#S' @ ( '#B' @ '#S' @ ( '#B' @ ( '#B' @ '#S' ) @ ( '#B' @ ( '#B' @ ( '#B' @ '#B' ) ) @ ( '#B' @ ( '#B' @ ( '#B' @ (=>) ) ) @ ( '#C' @ ( '#B' @ '#B' @ ( '#B' @ '#B' @ ( '#B' @ member2015049524od_V_V @ ( product_Pair_V_V2 @ X2 ) ) ) ) @ getRel1432786916nt_V_V ) ) ) ) ) @ ( '#B' @ ( '#B' @ ( '#C' @ ( '#B' @ '#S' @ ( '#B' @ ( '#B' @ (=>) ) @ ( '#S' @ ( '#B' @ '#C' @ graph_1808119_V_V_V ) @ ( '#B' @ id_on_V2 @ labele1134902411nt_V_V ) ) ) ) ) ) @ ( '#C' @ ( '#B' @ '#B' @ ( '#B' @ '#B' @ ( '#B' @ member2015049524od_V_V @ ( product_Pair_V_V2 @ X2 ) ) ) ) @ getRel1432786916nt_V_V ) ) ) ) ) ) ),
inference(lazy_cnf_forall,[status(thm)],[zip_derived_cl51]) ).
thf(zip_derived_cl1009,plain,
! [X2: v,X4: v] : ( !! @ ( '#B' @ !! @ ( '#B' @ ( '#B' @ !! ) @ ( '#S' @ ( '#B' @ '#S' @ ( '#B' @ ( '#B' @ '#B' ) @ ( '#B' @ ( '#B' @ (=>) ) @ ( '#B' @ ( '#B' @ ( member2015049524od_V_V @ ( product_Pair_V_V2 @ X2 @ X4 ) ) ) @ getRel1432786916nt_V_V ) ) ) ) @ ( '#B' @ ( '#C' @ ( '#B' @ '#S' @ ( '#B' @ ( '#B' @ (=>) ) @ ( '#S' @ ( '#B' @ '#C' @ graph_1808119_V_V_V ) @ ( '#B' @ id_on_V2 @ labele1134902411nt_V_V ) ) ) ) ) @ ( '#B' @ ( '#B' @ ( member2015049524od_V_V @ ( product_Pair_V_V2 @ X2 @ X4 ) ) ) @ getRel1432786916nt_V_V ) ) ) ) ) ),
inference(lazy_cnf_forall,[status(thm)],[zip_derived_cl1008]) ).
thf(zip_derived_cl1010,plain,
! [X2: v,X4: v,X6: standard_Constant_V] : ( !! @ ( '#B' @ !! @ ( '#S' @ ( '#B' @ '#B' @ ( '#B' @ (=>) @ ( '#B' @ ( member2015049524od_V_V @ ( product_Pair_V_V2 @ X2 @ X4 ) ) @ ( getRel1432786916nt_V_V @ X6 ) ) ) ) @ ( '#C' @ ( '#B' @ '#S' @ ( '#B' @ ( '#B' @ (=>) ) @ ( '#S' @ ( '#B' @ '#C' @ graph_1808119_V_V_V ) @ ( '#B' @ id_on_V2 @ labele1134902411nt_V_V ) ) ) ) @ ( '#B' @ ( member2015049524od_V_V @ ( product_Pair_V_V2 @ X2 @ X4 ) ) @ ( getRel1432786916nt_V_V @ X6 ) ) ) ) ) ),
inference(lazy_cnf_forall,[status(thm)],[zip_derived_cl1009]) ).
thf(zip_derived_cl1011,plain,
! [X2: v,X4: v,X6: standard_Constant_V,X8: labele2115946735nt_V_V] : ( !! @ ( '#B' @ ( (=>) @ ( member2015049524od_V_V @ ( product_Pair_V_V2 @ X2 @ X4 ) @ ( getRel1432786916nt_V_V @ X6 @ X8 ) ) ) @ ( '#S' @ ( '#B' @ (=>) @ ( '#C' @ ( graph_1808119_V_V_V @ X8 ) @ ( id_on_V2 @ ( labele1134902411nt_V_V @ X8 ) ) ) ) @ ( '#B' @ ( member2015049524od_V_V @ ( product_Pair_V_V2 @ X2 @ X4 ) ) @ ( getRel1432786916nt_V_V @ X6 ) ) ) ) ),
inference(lazy_cnf_forall,[status(thm)],[zip_derived_cl1010]) ).
thf(zip_derived_cl1012,plain,
! [X2: v,X4: v,X6: standard_Constant_V,X8: labele2115946735nt_V_V,X10: labele2115946735nt_V_V] :
( ( member2015049524od_V_V @ ( product_Pair_V_V2 @ X2 @ X4 ) @ ( getRel1432786916nt_V_V @ X6 @ X8 ) )
=> ( ( graph_1808119_V_V_V @ X8 @ X10 @ ( id_on_V2 @ ( labele1134902411nt_V_V @ X8 ) ) )
=> ( member2015049524od_V_V @ ( product_Pair_V_V2 @ X2 @ X4 ) @ ( getRel1432786916nt_V_V @ X6 @ X10 ) ) ) ),
inference(lazy_cnf_forall,[status(thm)],[zip_derived_cl1011]) ).
thf(zip_derived_cl1013,plain,
! [X2: v,X4: v,X6: standard_Constant_V,X8: labele2115946735nt_V_V,X10: labele2115946735nt_V_V] :
( ~ ( member2015049524od_V_V @ ( product_Pair_V_V2 @ X2 @ X4 ) @ ( getRel1432786916nt_V_V @ X6 @ X8 ) )
| ( ( graph_1808119_V_V_V @ X8 @ X10 @ ( id_on_V2 @ ( labele1134902411nt_V_V @ X8 ) ) )
=> ( member2015049524od_V_V @ ( product_Pair_V_V2 @ X2 @ X4 ) @ ( getRel1432786916nt_V_V @ X6 @ X10 ) ) ) ),
inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl1012]) ).
thf(zip_derived_cl1014,plain,
! [X2: v,X4: v,X6: standard_Constant_V,X8: labele2115946735nt_V_V,X10: labele2115946735nt_V_V] :
( ~ ( graph_1808119_V_V_V @ X8 @ X10 @ ( id_on_V2 @ ( labele1134902411nt_V_V @ X8 ) ) )
| ( member2015049524od_V_V @ ( product_Pair_V_V2 @ X2 @ X4 ) @ ( getRel1432786916nt_V_V @ X6 @ X10 ) )
| ~ ( member2015049524od_V_V @ ( product_Pair_V_V2 @ X2 @ X4 ) @ ( getRel1432786916nt_V_V @ X6 @ X8 ) ) ),
inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl1013]) ).
thf(conj_0,conjecture,
member2015049524od_V_V @ ( product_Pair_V_V2 @ ( m @ xa ) @ ( m @ xa ) ) @ ( getRel1432786916nt_V_V @ ( standard_S_Const_V @ y ) @ g ) ).
thf(zf_stmt_0,negated_conjecture,
~ ( member2015049524od_V_V @ ( product_Pair_V_V2 @ ( m @ xa ) @ ( m @ xa ) ) @ ( getRel1432786916nt_V_V @ ( standard_S_Const_V @ y ) @ g ) ),
inference('cnf.neg',[status(esa)],[conj_0]) ).
thf(zip_derived_cl471,plain,
~ ( member2015049524od_V_V @ ( product_Pair_V_V2 @ ( m @ xa ) @ ( m @ xa ) ) @ ( getRel1432786916nt_V_V @ ( standard_S_Const_V @ y ) @ g ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl6081,plain,
! [X0: labele2115946735nt_V_V] :
( ~ ( member2015049524od_V_V @ ( product_Pair_V_V2 @ ( m @ xa ) @ ( m @ xa ) ) @ ( getRel1432786916nt_V_V @ ( standard_S_Const_V @ y ) @ X0 ) )
| ~ ( graph_1808119_V_V_V @ X0 @ g @ ( id_on_V2 @ ( labele1134902411nt_V_V @ X0 ) ) ) ),
inference('sup-',[status(thm)],[zip_derived_cl1014,zip_derived_cl471]) ).
thf(zip_derived_cl6206,plain,
~ ( member2015049524od_V_V @ ( product_Pair_V_V2 @ ( m @ xa ) @ ( m @ xa ) ) @ ( getRel1432786916nt_V_V @ ( standard_S_Const_V @ y ) @ ( map_gr907434255tant_V @ ( bNF_Gr_V_V2 @ ( labele1134902411nt_V_V @ g ) @ h ) @ g ) ) ),
inference('sup-',[status(thm)],[zip_derived_cl8,zip_derived_cl6081]) ).
thf(fact_6__092_060open_062_Im_Ax_M_Am_Ax_J_A_092_060in_062_AgetRel_A_IS__Const_Ay_J_A_Imap__graph__fn_AG_H_Ah_J_092_060close_062,axiom,
member2015049524od_V_V @ ( product_Pair_V_V2 @ ( m @ xa ) @ ( m @ xa ) ) @ ( getRel1432786916nt_V_V @ ( standard_S_Const_V @ y ) @ ( map_gr907434255tant_V @ ( bNF_Gr_V_V2 @ ( labele1134902411nt_V_V @ g ) @ h ) @ g ) ) ).
thf(zip_derived_cl6,plain,
member2015049524od_V_V @ ( product_Pair_V_V2 @ ( m @ xa ) @ ( m @ xa ) ) @ ( getRel1432786916nt_V_V @ ( standard_S_Const_V @ y ) @ ( map_gr907434255tant_V @ ( bNF_Gr_V_V2 @ ( labele1134902411nt_V_V @ g ) @ h ) @ g ) ),
inference(cnf,[status(esa)],[fact_6__092_060open_062_Im_Ax_M_Am_Ax_J_A_092_060in_062_AgetRel_A_IS__Const_Ay_J_A_Imap__graph__fn_AG_H_Ah_J_092_060close_062]) ).
thf(zip_derived_cl6209,plain,
$false,
inference(demod,[status(thm)],[zip_derived_cl6206,zip_derived_cl6]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.14 % Problem : ITP180^1 : TPTP v8.1.2. Released v7.5.0.
% 0.00/0.15 % Command : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.pYW5J6YMlB true
% 0.15/0.37 % Computer : n001.cluster.edu
% 0.15/0.37 % Model : x86_64 x86_64
% 0.15/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.37 % Memory : 8042.1875MB
% 0.15/0.37 % OS : Linux 3.10.0-693.el7.x86_64
% 0.15/0.37 % CPULimit : 300
% 0.15/0.37 % WCLimit : 300
% 0.15/0.37 % DateTime : Sun Aug 27 14:41:18 EDT 2023
% 0.15/0.37 % CPUTime :
% 0.15/0.37 % Running portfolio for 300 s
% 0.15/0.37 % File : /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.15/0.37 % Number of cores: 8
% 0.15/0.37 % Python version: Python 3.6.8
% 0.15/0.38 % Running in HO mode
% 0.22/0.66 % Total configuration time : 828
% 0.22/0.66 % Estimated wc time : 1656
% 0.22/0.66 % Estimated cpu time (8 cpus) : 207.0
% 0.22/0.73 % /export/starexec/sandbox/solver/bin/lams/40_c.s.sh running for 80s
% 0.22/0.77 % /export/starexec/sandbox/solver/bin/lams/35_full_unif4.sh running for 80s
% 0.22/0.78 % /export/starexec/sandbox/solver/bin/lams/40_c_ic.sh running for 80s
% 0.22/0.78 % /export/starexec/sandbox/solver/bin/lams/15_e_short1.sh running for 30s
% 0.22/0.78 % /export/starexec/sandbox/solver/bin/lams/40_noforms.sh running for 90s
% 0.22/0.78 % /export/starexec/sandbox/solver/bin/lams/40_b.comb.sh running for 70s
% 0.22/0.80 % /export/starexec/sandbox/solver/bin/lams/20_acsne_simpl.sh running for 40s
% 0.22/0.81 % /export/starexec/sandbox/solver/bin/lams/30_sp5.sh running for 60s
% 1.63/0.87 % /export/starexec/sandbox/solver/bin/lams/30_b.l.sh running for 90s
% 31.18/4.71 % Solved by lams/40_b.comb.sh.
% 31.18/4.71 % done 521 iterations in 3.891s
% 31.18/4.71 % SZS status Theorem for '/export/starexec/sandbox/benchmark/theBenchmark.p'
% 31.18/4.71 % SZS output start Refutation
% See solution above
% 31.18/4.71
% 31.18/4.71
% 31.18/4.71 % Terminating...
% 31.95/4.81 % Runner terminated.
% 31.95/4.81 % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------