TSTP Solution File: ITP004^2 by Zipperpin---2.1.9999
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%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : ITP004^2 : TPTP v8.1.2. Bugfixed 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.QLQmiogDHi true
% Computer : n013.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 05:20:44 EDT 2023
% Result : Theorem 73.54s 10.03s
% Output : Refutation 73.54s
% Verified :
% SZS Type : Refutation
% Derivation depth : 3
% Number of leaves : 18
% Syntax : Number of formulae : 27 ( 3 unt; 11 typ; 0 def)
% Number of atoms : 63 ( 4 equ; 0 cnn)
% Maximal formula atoms : 10 ( 3 avg)
% Number of connectives : 296 ( 4 ~; 0 |; 2 &; 245 @)
% ( 4 <=>; 23 =>; 0 <=; 0 <~>)
% Maximal formula depth : 20 ( 11 avg)
% Number of types : 3 ( 1 usr)
% Number of type conns : 12 ( 12 >; 0 *; 0 +; 0 <<)
% Number of symbols : 13 ( 10 usr; 3 con; 0-2 aty)
% ( 18 !!; 0 ??; 0 @@+; 0 @@-)
% Number of variables : 38 ( 18 ^; 20 !; 0 ?; 38 :)
% Comments :
%------------------------------------------------------------------------------
thf(del_type,type,
del: $tType ).
thf(mem_type,type,
mem: $i > del > $o ).
thf(p_type,type,
p: $i > $o ).
thf(ap_type,type,
ap: $i > $i > $i ).
thf(arr_type,type,
arr: del > del > del ).
thf(c_2Epred__set_2ECHOICE_type,type,
c_2Epred__set_2ECHOICE: del > $i ).
thf(bool_type,type,
bool: del ).
thf(c_2Ebool_2EIN_type,type,
c_2Ebool_2EIN: del > $i ).
thf(c_2Epred__set_2EREST_type,type,
c_2Epred__set_2EREST: del > $i ).
thf(c_2Epred__set_2EDELETE_type,type,
c_2Epred__set_2EDELETE: del > $i ).
thf(c_2Epred__set_2ESUBSET_type,type,
c_2Epred__set_2ESUBSET: del > $i ).
thf(ax_thm_2Epred__set_2EREST__DEF,axiom,
! [A_27a: del,V0s: $i] :
( ( mem @ V0s @ ( arr @ A_27a @ bool ) )
=> ( ( ap @ ( c_2Epred__set_2EREST @ A_27a ) @ V0s )
= ( ap @ ( ap @ ( c_2Epred__set_2EDELETE @ A_27a ) @ V0s ) @ ( ap @ ( c_2Epred__set_2ECHOICE @ A_27a ) @ V0s ) ) ) ) ).
thf(zip_derived_cl24,plain,
( !!
@ ^ [Y0: del] :
( !!
@ ^ [Y1: $i] :
( ( mem @ Y1 @ ( arr @ Y0 @ bool ) )
=> ( ( ap @ ( c_2Epred__set_2EREST @ Y0 ) @ Y1 )
= ( ap @ ( ap @ ( c_2Epred__set_2EDELETE @ Y0 ) @ Y1 ) @ ( ap @ ( c_2Epred__set_2ECHOICE @ Y0 ) @ Y1 ) ) ) ) ) ),
inference(cnf,[status(esa)],[ax_thm_2Epred__set_2EREST__DEF]) ).
thf(mem_c_2Epred__set_2ECHOICE,axiom,
! [A_27a: del] : ( mem @ ( c_2Epred__set_2ECHOICE @ A_27a ) @ ( arr @ ( arr @ A_27a @ bool ) @ A_27a ) ) ).
thf(zip_derived_cl15,plain,
( !!
@ ^ [Y0: del] : ( mem @ ( c_2Epred__set_2ECHOICE @ Y0 ) @ ( arr @ ( arr @ Y0 @ bool ) @ Y0 ) ) ),
inference(cnf,[status(esa)],[mem_c_2Epred__set_2ECHOICE]) ).
thf(conj_thm_2Epred__set_2EIN__DELETE,axiom,
! [A_27a: del,V0s: $i] :
( ( mem @ V0s @ ( arr @ A_27a @ bool ) )
=> ! [V1x: $i] :
( ( mem @ V1x @ A_27a )
=> ! [V2y: $i] :
( ( mem @ V2y @ A_27a )
=> ( ( p @ ( ap @ ( ap @ ( c_2Ebool_2EIN @ A_27a ) @ V1x ) @ ( ap @ ( ap @ ( c_2Epred__set_2EDELETE @ A_27a ) @ V0s ) @ V2y ) ) )
<=> ( ( V1x != V2y )
& ( p @ ( ap @ ( ap @ ( c_2Ebool_2EIN @ A_27a ) @ V1x ) @ V0s ) ) ) ) ) ) ) ).
thf(zip_derived_cl23,plain,
( !!
@ ^ [Y0: del] :
( !!
@ ^ [Y1: $i] :
( ( mem @ Y1 @ ( arr @ Y0 @ bool ) )
=> ( !!
@ ^ [Y2: $i] :
( ( mem @ Y2 @ Y0 )
=> ( !!
@ ^ [Y3: $i] :
( ( mem @ Y3 @ Y0 )
=> ( ( p @ ( ap @ ( ap @ ( c_2Ebool_2EIN @ Y0 ) @ Y2 ) @ ( ap @ ( ap @ ( c_2Epred__set_2EDELETE @ Y0 ) @ Y1 ) @ Y3 ) ) )
<=> ( ( Y2 != Y3 )
& ( p @ ( ap @ ( ap @ ( c_2Ebool_2EIN @ Y0 ) @ Y2 ) @ Y1 ) ) ) ) ) ) ) ) ) ) ),
inference(cnf,[status(esa)],[conj_thm_2Epred__set_2EIN__DELETE]) ).
thf(mem_c_2Epred__set_2EREST,axiom,
! [A_27a: del] : ( mem @ ( c_2Epred__set_2EREST @ A_27a ) @ ( arr @ ( arr @ A_27a @ bool ) @ ( arr @ A_27a @ bool ) ) ) ).
thf(zip_derived_cl17,plain,
( !!
@ ^ [Y0: del] : ( mem @ ( c_2Epred__set_2EREST @ Y0 ) @ ( arr @ ( arr @ Y0 @ bool ) @ ( arr @ Y0 @ bool ) ) ) ),
inference(cnf,[status(esa)],[mem_c_2Epred__set_2EREST]) ).
thf(ap_tp,axiom,
! [A: del,B: del,F: $i] :
( ( mem @ F @ ( arr @ A @ B ) )
=> ! [X: $i] :
( ( mem @ X @ A )
=> ( mem @ ( ap @ F @ X ) @ B ) ) ) ).
thf(zip_derived_cl3,plain,
( !!
@ ^ [Y0: del] :
( !!
@ ^ [Y1: del] :
( !!
@ ^ [Y2: $i] :
( ( mem @ Y2 @ ( arr @ Y0 @ Y1 ) )
=> ( !!
@ ^ [Y3: $i] :
( ( mem @ Y3 @ Y0 )
=> ( mem @ ( ap @ Y2 @ Y3 ) @ Y1 ) ) ) ) ) ) ),
inference(cnf,[status(esa)],[ap_tp]) ).
thf(ax_thm_2Epred__set_2ESUBSET__DEF,axiom,
! [A_27a: del,V0s: $i] :
( ( mem @ V0s @ ( arr @ A_27a @ bool ) )
=> ! [V1t: $i] :
( ( mem @ V1t @ ( arr @ A_27a @ bool ) )
=> ( ( p @ ( ap @ ( ap @ ( c_2Epred__set_2ESUBSET @ A_27a ) @ V0s ) @ V1t ) )
<=> ! [V2x: $i] :
( ( mem @ V2x @ A_27a )
=> ( ( p @ ( ap @ ( ap @ ( c_2Ebool_2EIN @ A_27a ) @ V2x ) @ V0s ) )
=> ( p @ ( ap @ ( ap @ ( c_2Ebool_2EIN @ A_27a ) @ V2x ) @ V1t ) ) ) ) ) ) ) ).
thf(zip_derived_cl22,plain,
( !!
@ ^ [Y0: del] :
( !!
@ ^ [Y1: $i] :
( ( mem @ Y1 @ ( arr @ Y0 @ bool ) )
=> ( !!
@ ^ [Y2: $i] :
( ( mem @ Y2 @ ( arr @ Y0 @ bool ) )
=> ( ( p @ ( ap @ ( ap @ ( c_2Epred__set_2ESUBSET @ Y0 ) @ Y1 ) @ Y2 ) )
<=> ( !!
@ ^ [Y3: $i] :
( ( mem @ Y3 @ Y0 )
=> ( ( p @ ( ap @ ( ap @ ( c_2Ebool_2EIN @ Y0 ) @ Y3 ) @ Y1 ) )
=> ( p @ ( ap @ ( ap @ ( c_2Ebool_2EIN @ Y0 ) @ Y3 ) @ Y2 ) ) ) ) ) ) ) ) ) ) ),
inference(cnf,[status(esa)],[ax_thm_2Epred__set_2ESUBSET__DEF]) ).
thf(conj_thm_2Epred__set_2EREST__SUBSET,conjecture,
! [A_27a: del,V0s: $i] :
( ( mem @ V0s @ ( arr @ A_27a @ bool ) )
=> ( p @ ( ap @ ( ap @ ( c_2Epred__set_2ESUBSET @ A_27a ) @ ( ap @ ( c_2Epred__set_2EREST @ A_27a ) @ V0s ) ) @ V0s ) ) ) ).
thf(zf_stmt_0,negated_conjecture,
~ ! [A_27a: del,V0s: $i] :
( ( mem @ V0s @ ( arr @ A_27a @ bool ) )
=> ( p @ ( ap @ ( ap @ ( c_2Epred__set_2ESUBSET @ A_27a ) @ ( ap @ ( c_2Epred__set_2EREST @ A_27a ) @ V0s ) ) @ V0s ) ) ),
inference('cnf.neg',[status(esa)],[conj_thm_2Epred__set_2EREST__SUBSET]) ).
thf(zip_derived_cl25,plain,
~ ( !!
@ ^ [Y0: del] :
( !!
@ ^ [Y1: $i] :
( ( mem @ Y1 @ ( arr @ Y0 @ bool ) )
=> ( p @ ( ap @ ( ap @ ( c_2Epred__set_2ESUBSET @ Y0 ) @ ( ap @ ( c_2Epred__set_2EREST @ Y0 ) @ Y1 ) ) @ Y1 ) ) ) ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl6754,plain,
$false,
inference(eprover,[status(thm)],[zip_derived_cl24,zip_derived_cl15,zip_derived_cl23,zip_derived_cl17,zip_derived_cl3,zip_derived_cl22,zip_derived_cl25]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.13 % Problem : ITP004^2 : TPTP v8.1.2. Bugfixed v7.5.0.
% 0.00/0.14 % Command : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.QLQmiogDHi true
% 0.13/0.36 % Computer : n013.cluster.edu
% 0.13/0.36 % Model : x86_64 x86_64
% 0.13/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.36 % Memory : 8042.1875MB
% 0.13/0.36 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.36 % CPULimit : 300
% 0.13/0.36 % WCLimit : 300
% 0.13/0.36 % DateTime : Sun Aug 27 11:46:47 EDT 2023
% 0.13/0.36 % CPUTime :
% 0.13/0.36 % Running portfolio for 300 s
% 0.13/0.36 % File : /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.13/0.36 % Number of cores: 8
% 0.13/0.36 % Python version: Python 3.6.8
% 0.13/0.37 % Running in HO mode
% 0.22/0.68 % Total configuration time : 828
% 0.22/0.68 % Estimated wc time : 1656
% 0.22/0.68 % Estimated cpu time (8 cpus) : 207.0
% 0.22/0.74 % /export/starexec/sandbox/solver/bin/lams/40_c.s.sh running for 80s
% 0.22/0.75 % /export/starexec/sandbox/solver/bin/lams/35_full_unif4.sh running for 80s
% 0.22/0.76 % /export/starexec/sandbox/solver/bin/lams/40_c_ic.sh running for 80s
% 0.57/0.77 % /export/starexec/sandbox/solver/bin/lams/40_noforms.sh running for 90s
% 0.57/0.77 % /export/starexec/sandbox/solver/bin/lams/15_e_short1.sh running for 30s
% 0.57/0.78 % /export/starexec/sandbox/solver/bin/lams/40_b.comb.sh running for 70s
% 0.57/0.79 % /export/starexec/sandbox/solver/bin/lams/20_acsne_simpl.sh running for 40s
% 0.57/0.79 % /export/starexec/sandbox/solver/bin/lams/30_sp5.sh running for 60s
% 0.60/0.84 % /export/starexec/sandbox/solver/bin/lams/30_b.l.sh running for 90s
% 73.54/10.03 % Solved by lams/15_e_short1.sh.
% 73.54/10.03 % done 483 iterations in 9.220s
% 73.54/10.03 % SZS status Theorem for '/export/starexec/sandbox/benchmark/theBenchmark.p'
% 73.54/10.03 % SZS output start Refutation
% See solution above
% 73.54/10.03
% 73.54/10.03
% 73.54/10.03 % Terminating...
% 73.54/10.10 % Runner terminated.
% 73.54/10.12 % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------