TSTP Solution File: ITP050^1 by Zipperpin---2.1.9999
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%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : ITP050^1 : 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.NKn0e6Ph2C true
% Computer : n004.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 05:21:51 EDT 2023
% Result : Theorem 27.32s 4.20s
% Output : Refutation 27.32s
% Verified :
% SZS Type : Refutation
% Derivation depth : 3
% Number of leaves : 23
% Syntax : Number of formulae : 32 ( 8 unt; 16 typ; 0 def)
% Number of atoms : 45 ( 0 equ; 0 cnn)
% Maximal formula atoms : 8 ( 2 avg)
% Number of connectives : 129 ( 2 ~; 0 |; 0 &; 98 @)
% ( 0 <=>; 14 =>; 0 <=; 0 <~>)
% Maximal formula depth : 16 ( 7 avg)
% Number of types : 6 ( 5 usr)
% Number of type conns : 22 ( 22 >; 0 *; 0 +; 0 <<)
% Number of symbols : 13 ( 11 usr; 6 con; 0-4 aty)
% ( 15 !!; 0 ??; 0 @@+; 0 @@-)
% Number of variables : 30 ( 15 ^; 15 !; 0 ?; 30 :)
% Comments :
%------------------------------------------------------------------------------
thf(set_Pr1986765409at_nat_type,type,
set_Pr1986765409at_nat: $tType ).
thf(product_prod_nat_nat_type,type,
product_prod_nat_nat: $tType ).
thf(list_P559422087at_nat_type,type,
list_P559422087at_nat: $tType ).
thf(nat_type,type,
nat: $tType ).
thf(a_type,type,
a: $tType ).
thf(ord_le841296385at_nat_type,type,
ord_le841296385at_nat: set_Pr1986765409at_nat > set_Pr1986765409at_nat > $o ).
thf(isPath_a_type,type,
isPath_a: ( product_prod_nat_nat > a ) > nat > list_P559422087at_nat > nat > $o ).
thf(member701585322at_nat_type,type,
member701585322at_nat: product_prod_nat_nat > set_Pr1986765409at_nat > $o ).
thf(e_a_type,type,
e_a: ( product_prod_nat_nat > a ) > set_Pr1986765409at_nat ).
thf(p_type,type,
p: list_P559422087at_nat ).
thf(t_type,type,
t: nat ).
thf(edges_type,type,
edges: set_Pr1986765409at_nat ).
thf(c_type,type,
c: product_prod_nat_nat > a ).
thf(set_Pr2131844118at_nat_type,type,
set_Pr2131844118at_nat: list_P559422087at_nat > set_Pr1986765409at_nat ).
thf(isShortestPath_a_type,type,
isShortestPath_a: ( product_prod_nat_nat > a ) > nat > list_P559422087at_nat > nat > $o ).
thf(s_type,type,
s: nat ).
thf(conj_0,conjecture,
ord_le841296385at_nat @ edges @ ( e_a @ c ) ).
thf(zf_stmt_0,negated_conjecture,
~ ( ord_le841296385at_nat @ edges @ ( e_a @ c ) ),
inference('cnf.neg',[status(esa)],[conj_0]) ).
thf(zip_derived_cl353,plain,
~ ( ord_le841296385at_nat @ edges @ ( e_a @ c ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(fact_9_subsetI,axiom,
! [A: set_Pr1986765409at_nat,B: set_Pr1986765409at_nat] :
( ! [X: product_prod_nat_nat] :
( ( member701585322at_nat @ X @ A )
=> ( member701585322at_nat @ X @ B ) )
=> ( ord_le841296385at_nat @ A @ B ) ) ).
thf(zip_derived_cl9,plain,
( !!
@ ^ [Y0: set_Pr1986765409at_nat] :
( !!
@ ^ [Y1: set_Pr1986765409at_nat] :
( ( !!
@ ^ [Y2: product_prod_nat_nat] :
( ( member701585322at_nat @ Y2 @ Y0 )
=> ( member701585322at_nat @ Y2 @ Y1 ) ) )
=> ( ord_le841296385at_nat @ Y0 @ Y1 ) ) ) ),
inference(cnf,[status(esa)],[fact_9_subsetI]) ).
thf(fact_1_SP__EDGES,axiom,
ord_le841296385at_nat @ edges @ ( set_Pr2131844118at_nat @ p ) ).
thf(zip_derived_cl1,plain,
ord_le841296385at_nat @ edges @ ( set_Pr2131844118at_nat @ p ),
inference(cnf,[status(esa)],[fact_1_SP__EDGES]) ).
thf(fact_136_in__mono,axiom,
! [A: set_Pr1986765409at_nat,B: set_Pr1986765409at_nat,X2: product_prod_nat_nat] :
( ( ord_le841296385at_nat @ A @ B )
=> ( ( member701585322at_nat @ X2 @ A )
=> ( member701585322at_nat @ X2 @ B ) ) ) ).
thf(zip_derived_cl136,plain,
( !!
@ ^ [Y0: set_Pr1986765409at_nat] :
( !!
@ ^ [Y1: set_Pr1986765409at_nat] :
( !!
@ ^ [Y2: product_prod_nat_nat] :
( ( ord_le841296385at_nat @ Y0 @ Y1 )
=> ( ( member701585322at_nat @ Y2 @ Y0 )
=> ( member701585322at_nat @ Y2 @ Y1 ) ) ) ) ) ),
inference(cnf,[status(esa)],[fact_136_in__mono]) ).
thf(fact_0_SP,axiom,
isShortestPath_a @ c @ s @ p @ t ).
thf(zip_derived_cl0,plain,
isShortestPath_a @ c @ s @ p @ t,
inference(cnf,[status(esa)],[fact_0_SP]) ).
thf(fact_146_Graph_OisPath__edgeset,axiom,
! [C: product_prod_nat_nat > a,U2: nat,P: list_P559422087at_nat,V: nat,E: product_prod_nat_nat] :
( ( isPath_a @ C @ U2 @ P @ V )
=> ( ( member701585322at_nat @ E @ ( set_Pr2131844118at_nat @ P ) )
=> ( member701585322at_nat @ E @ ( e_a @ C ) ) ) ) ).
thf(zip_derived_cl146,plain,
( !!
@ ^ [Y0: product_prod_nat_nat > a] :
( !!
@ ^ [Y1: nat] :
( !!
@ ^ [Y2: list_P559422087at_nat] :
( !!
@ ^ [Y3: nat] :
( !!
@ ^ [Y4: product_prod_nat_nat] :
( ( isPath_a @ Y0 @ Y1 @ Y2 @ Y3 )
=> ( ( member701585322at_nat @ Y4 @ ( set_Pr2131844118at_nat @ Y2 ) )
=> ( member701585322at_nat @ Y4 @ ( e_a @ Y0 ) ) ) ) ) ) ) ) ),
inference(cnf,[status(esa)],[fact_146_Graph_OisPath__edgeset]) ).
thf(fact_200_Graph_OshortestPath__is__path,axiom,
! [C: product_prod_nat_nat > a,U2: nat,P: list_P559422087at_nat,V: nat] :
( ( isShortestPath_a @ C @ U2 @ P @ V )
=> ( isPath_a @ C @ U2 @ P @ V ) ) ).
thf(zip_derived_cl200,plain,
( !!
@ ^ [Y0: product_prod_nat_nat > a] :
( !!
@ ^ [Y1: nat] :
( !!
@ ^ [Y2: list_P559422087at_nat] :
( !!
@ ^ [Y3: nat] :
( ( isShortestPath_a @ Y0 @ Y1 @ Y2 @ Y3 )
=> ( isPath_a @ Y0 @ Y1 @ Y2 @ Y3 ) ) ) ) ) ),
inference(cnf,[status(esa)],[fact_200_Graph_OshortestPath__is__path]) ).
thf(zip_derived_cl1933,plain,
$false,
inference(eprover,[status(thm)],[zip_derived_cl353,zip_derived_cl9,zip_derived_cl1,zip_derived_cl136,zip_derived_cl0,zip_derived_cl146,zip_derived_cl200]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.16 % Problem : ITP050^1 : TPTP v8.1.2. Released v7.5.0.
% 0.00/0.17 % Command : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.NKn0e6Ph2C true
% 0.15/0.38 % Computer : n004.cluster.edu
% 0.15/0.38 % Model : x86_64 x86_64
% 0.15/0.38 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.38 % Memory : 8042.1875MB
% 0.15/0.38 % OS : Linux 3.10.0-693.el7.x86_64
% 0.15/0.38 % CPULimit : 300
% 0.15/0.38 % WCLimit : 300
% 0.15/0.38 % DateTime : Sun Aug 27 14:28:37 EDT 2023
% 0.15/0.38 % CPUTime :
% 0.15/0.38 % Running portfolio for 300 s
% 0.15/0.38 % File : /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.21/0.39 % Number of cores: 8
% 0.21/0.39 % Python version: Python 3.6.8
% 0.21/0.39 % Running in HO mode
% 0.22/0.71 % Total configuration time : 828
% 0.22/0.71 % Estimated wc time : 1656
% 0.22/0.71 % Estimated cpu time (8 cpus) : 207.0
% 0.22/0.78 % /export/starexec/sandbox/solver/bin/lams/40_c.s.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/35_full_unif4.sh running for 80s
% 0.22/0.80 % /export/starexec/sandbox/solver/bin/lams/15_e_short1.sh running for 30s
% 0.22/0.81 % /export/starexec/sandbox/solver/bin/lams/40_noforms.sh running for 90s
% 0.22/0.81 % /export/starexec/sandbox/solver/bin/lams/40_b.comb.sh running for 70s
% 0.22/0.81 % /export/starexec/sandbox/solver/bin/lams/20_acsne_simpl.sh running for 40s
% 1.26/0.86 % /export/starexec/sandbox/solver/bin/lams/30_sp5.sh running for 60s
% 1.26/0.88 % /export/starexec/sandbox/solver/bin/lams/30_b.l.sh running for 90s
% 27.32/4.20 % Solved by lams/15_e_short1.sh.
% 27.32/4.20 % done 253 iterations in 3.323s
% 27.32/4.20 % SZS status Theorem for '/export/starexec/sandbox/benchmark/theBenchmark.p'
% 27.32/4.20 % SZS output start Refutation
% See solution above
% 27.32/4.20
% 27.32/4.20
% 27.32/4.20 % Terminating...
% 28.01/4.32 % Runner terminated.
% 28.06/4.34 % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------