%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : ITP078^1 : TPTP v9.2.0. Released v7.5.0.
% Transfm : none
% Format : tptp:raw
% Command : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.yiv2x2hY6K 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 Oct 2 04:38:45 PM UTC 2025
% Result : Theorem 14.25s 2.33s
% Output : Refutation 14.25s
% Verified :
% SZS Type : Refutation
% Derivation depth : 7
% Number of leaves : 6
% Syntax : Number of formulae : 28 ( 25 unt; 0 typ; 0 def)
% Number of atoms : 31 ( 24 equ; 0 cnn)
% Maximal formula atoms : 2 ( 1 avg)
% Number of connectives : 224 ( 5 ~; 2 |; 0 &; 216 @)
% ( 0 <=>; 1 =>; 0 <=; 0 <~>)
% Maximal formula depth : 7 ( 2 avg)
% Number of types : 7 ( 6 usr)
% Number of type conns : 2 ( 2 >; 0 *; 0 +; 0 <<)
% Number of symbols : 16 ( 14 usr; 4 con; 0-2 aty)
% Number of variables : 10 ( 0 ^; 10 !; 0 ?; 10 :)
% Comments :
%------------------------------------------------------------------------------
thf(multiset_a_type,type,
multiset_a: $tType ).
thf(list_a_type,type,
list_a: $tType ).
thf(multiset_nat_type,type,
multiset_nat: $tType ).
thf(set_nat_type,type,
set_nat: $tType ).
thf(nat_type,type,
nat: $tType ).
thf(a_type,type,
a: $tType ).
thf(set_or562006527an_nat_type,type,
set_or562006527an_nat: nat > nat > set_nat ).
thf(nth_a_type,type,
nth_a: list_a > nat > a ).
thf(f_type,type,
f: nat > nat ).
thf(size_size_list_a_type,type,
size_size_list_a: list_a > nat ).
thf(ys_type,type,
ys: list_a ).
thf(image_mset_nat_nat_type,type,
image_mset_nat_nat: ( nat > nat ) > multiset_nat > multiset_nat ).
thf(xs_type,type,
xs: list_a ).
thf(gen_length_a_type,type,
gen_length_a: nat > list_a > nat ).
thf(image_mset_nat_a_type,type,
image_mset_nat_a: ( nat > a ) > multiset_nat > multiset_a ).
thf(image_nat_nat_type,type,
image_nat_nat: ( nat > nat ) > set_nat > set_nat ).
thf(zero_zero_nat_type,type,
zero_zero_nat: nat ).
thf(mset_a_type,type,
mset_a: list_a > multiset_a ).
thf(inj_on_nat_nat_type,type,
inj_on_nat_nat: ( nat > nat ) > set_nat > $o ).
thf(mset_set_nat_type,type,
mset_set_nat: set_nat > multiset_nat ).
thf(fact_1_calculation,axiom,
( ( mset_a @ xs )
= ( image_mset_nat_a @ ( nth_a @ ys ) @ ( image_mset_nat_nat @ f @ ( mset_set_nat @ ( set_or562006527an_nat @ zero_zero_nat @ ( size_size_list_a @ xs ) ) ) ) ) ) ).
thf(zip_derived_cl1,plain,
( ( mset_a @ xs )
= ( image_mset_nat_a @ ( nth_a @ ys ) @ ( image_mset_nat_nat @ f @ ( mset_set_nat @ ( set_or562006527an_nat @ zero_zero_nat @ ( size_size_list_a @ xs ) ) ) ) ) ),
inference(cnf,[status(esa)],[fact_1_calculation]) ).
thf(fact_182_length__code,axiom,
( size_size_list_a
= ( gen_length_a @ zero_zero_nat ) ) ).
thf(zip_derived_cl66,plain,
( size_size_list_a
= ( gen_length_a @ zero_zero_nat ) ),
inference(cnf,[status(esa)],[fact_182_length__code]) ).
thf(zip_derived_cl71,plain,
! [X1: list_a] :
( ( size_size_list_a @ X1 )
= ( gen_length_a @ zero_zero_nat @ X1 ) ),
inference(ho_complete_eq,[status(thm)],[zip_derived_cl66]) ).
thf(zip_derived_cl91,plain,
( ( mset_a @ xs )
= ( image_mset_nat_a @ ( nth_a @ ys ) @ ( image_mset_nat_nat @ f @ ( mset_set_nat @ ( set_or562006527an_nat @ zero_zero_nat @ ( gen_length_a @ zero_zero_nat @ xs ) ) ) ) ) ),
inference(demod,[status(thm)],[zip_derived_cl1,zip_derived_cl71]) ).
thf(fact_3__C2_C,axiom,
( ( image_nat_nat @ f @ ( set_or562006527an_nat @ zero_zero_nat @ ( size_size_list_a @ xs ) ) )
= ( set_or562006527an_nat @ zero_zero_nat @ ( size_size_list_a @ ys ) ) ) ).
thf(zip_derived_cl3,plain,
( ( image_nat_nat @ f @ ( set_or562006527an_nat @ zero_zero_nat @ ( size_size_list_a @ xs ) ) )
= ( set_or562006527an_nat @ zero_zero_nat @ ( size_size_list_a @ ys ) ) ),
inference(cnf,[status(esa)],[fact_3__C2_C]) ).
thf(zip_derived_cl71_001,plain,
! [X1: list_a] :
( ( size_size_list_a @ X1 )
= ( gen_length_a @ zero_zero_nat @ X1 ) ),
inference(ho_complete_eq,[status(thm)],[zip_derived_cl66]) ).
thf(zip_derived_cl71_002,plain,
! [X1: list_a] :
( ( size_size_list_a @ X1 )
= ( gen_length_a @ zero_zero_nat @ X1 ) ),
inference(ho_complete_eq,[status(thm)],[zip_derived_cl66]) ).
thf(zip_derived_cl141,plain,
( ( image_nat_nat @ f @ ( set_or562006527an_nat @ zero_zero_nat @ ( gen_length_a @ zero_zero_nat @ xs ) ) )
= ( set_or562006527an_nat @ zero_zero_nat @ ( gen_length_a @ zero_zero_nat @ ys ) ) ),
inference(demod,[status(thm)],[zip_derived_cl3,zip_derived_cl71,zip_derived_cl71]) ).
thf(fact_71_image__mset__mset__set,axiom,
! [F: nat > nat,A2: set_nat] :
( ( inj_on_nat_nat @ F @ A2 )
=> ( ( image_mset_nat_nat @ F @ ( mset_set_nat @ A2 ) )
= ( mset_set_nat @ ( image_nat_nat @ F @ A2 ) ) ) ) ).
thf(zip_derived_cl55,plain,
! [X0: nat > nat,X1: set_nat] :
( ( ( image_mset_nat_nat @ X0 @ ( mset_set_nat @ X1 ) )
= ( mset_set_nat @ ( image_nat_nat @ X0 @ X1 ) ) )
| ~ ( inj_on_nat_nat @ X0 @ X1 ) ),
inference(cnf,[status(esa)],[fact_71_image__mset__mset__set]) ).
thf(zip_derived_cl188,plain,
( ( ( image_mset_nat_nat @ f @ ( mset_set_nat @ ( set_or562006527an_nat @ zero_zero_nat @ ( gen_length_a @ zero_zero_nat @ xs ) ) ) )
= ( mset_set_nat @ ( set_or562006527an_nat @ zero_zero_nat @ ( gen_length_a @ zero_zero_nat @ ys ) ) ) )
| ~ ( inj_on_nat_nat @ f @ ( set_or562006527an_nat @ zero_zero_nat @ ( gen_length_a @ zero_zero_nat @ xs ) ) ) ),
inference('sup+',[status(thm)],[zip_derived_cl141,zip_derived_cl55]) ).
thf(fact_0__C1_C,axiom,
inj_on_nat_nat @ f @ ( set_or562006527an_nat @ zero_zero_nat @ ( size_size_list_a @ xs ) ) ).
thf(zip_derived_cl0,plain,
inj_on_nat_nat @ f @ ( set_or562006527an_nat @ zero_zero_nat @ ( size_size_list_a @ xs ) ),
inference(cnf,[status(esa)],[fact_0__C1_C]) ).
thf(zip_derived_cl71_003,plain,
! [X1: list_a] :
( ( size_size_list_a @ X1 )
= ( gen_length_a @ zero_zero_nat @ X1 ) ),
inference(ho_complete_eq,[status(thm)],[zip_derived_cl66]) ).
thf(zip_derived_cl79,plain,
inj_on_nat_nat @ f @ ( set_or562006527an_nat @ zero_zero_nat @ ( gen_length_a @ zero_zero_nat @ xs ) ),
inference(demod,[status(thm)],[zip_derived_cl0,zip_derived_cl71]) ).
thf(zip_derived_cl190,plain,
( ( image_mset_nat_nat @ f @ ( mset_set_nat @ ( set_or562006527an_nat @ zero_zero_nat @ ( gen_length_a @ zero_zero_nat @ xs ) ) ) )
= ( mset_set_nat @ ( set_or562006527an_nat @ zero_zero_nat @ ( gen_length_a @ zero_zero_nat @ ys ) ) ) ),
inference(demod,[status(thm)],[zip_derived_cl188,zip_derived_cl79]) ).
thf(zip_derived_cl4488,plain,
( ( mset_a @ xs )
= ( image_mset_nat_a @ ( nth_a @ ys ) @ ( mset_set_nat @ ( set_or562006527an_nat @ zero_zero_nat @ ( gen_length_a @ zero_zero_nat @ ys ) ) ) ) ),
inference(demod,[status(thm)],[zip_derived_cl91,zip_derived_cl190]) ).
thf(conj_0,conjecture,
( ( image_mset_nat_a @ ( nth_a @ ys ) @ ( image_mset_nat_nat @ f @ ( mset_set_nat @ ( set_or562006527an_nat @ zero_zero_nat @ ( size_size_list_a @ xs ) ) ) ) )
= ( image_mset_nat_a @ ( nth_a @ ys ) @ ( mset_set_nat @ ( set_or562006527an_nat @ zero_zero_nat @ ( size_size_list_a @ ys ) ) ) ) ) ).
thf(zf_stmt_0,negated_conjecture,
( ( image_mset_nat_a @ ( nth_a @ ys ) @ ( image_mset_nat_nat @ f @ ( mset_set_nat @ ( set_or562006527an_nat @ zero_zero_nat @ ( size_size_list_a @ xs ) ) ) ) )
!= ( image_mset_nat_a @ ( nth_a @ ys ) @ ( mset_set_nat @ ( set_or562006527an_nat @ zero_zero_nat @ ( size_size_list_a @ ys ) ) ) ) ),
inference('cnf.neg',[status(esa)],[conj_0]) ).
thf(zip_derived_cl70,plain,
( ( image_mset_nat_a @ ( nth_a @ ys ) @ ( image_mset_nat_nat @ f @ ( mset_set_nat @ ( set_or562006527an_nat @ zero_zero_nat @ ( size_size_list_a @ xs ) ) ) ) )
!= ( image_mset_nat_a @ ( nth_a @ ys ) @ ( mset_set_nat @ ( set_or562006527an_nat @ zero_zero_nat @ ( size_size_list_a @ ys ) ) ) ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl71_004,plain,
! [X1: list_a] :
( ( size_size_list_a @ X1 )
= ( gen_length_a @ zero_zero_nat @ X1 ) ),
inference(ho_complete_eq,[status(thm)],[zip_derived_cl66]) ).
thf(zip_derived_cl91_005,plain,
( ( mset_a @ xs )
= ( image_mset_nat_a @ ( nth_a @ ys ) @ ( image_mset_nat_nat @ f @ ( mset_set_nat @ ( set_or562006527an_nat @ zero_zero_nat @ ( gen_length_a @ zero_zero_nat @ xs ) ) ) ) ) ),
inference(demod,[status(thm)],[zip_derived_cl1,zip_derived_cl71]) ).
thf(zip_derived_cl71_006,plain,
! [X1: list_a] :
( ( size_size_list_a @ X1 )
= ( gen_length_a @ zero_zero_nat @ X1 ) ),
inference(ho_complete_eq,[status(thm)],[zip_derived_cl66]) ).
thf(zip_derived_cl1235,plain,
( ( mset_a @ xs )
!= ( image_mset_nat_a @ ( nth_a @ ys ) @ ( mset_set_nat @ ( set_or562006527an_nat @ zero_zero_nat @ ( gen_length_a @ zero_zero_nat @ ys ) ) ) ) ),
inference(demod,[status(thm)],[zip_derived_cl70,zip_derived_cl71,zip_derived_cl91,zip_derived_cl71]) ).
thf(zip_derived_cl4489,plain,
$false,
inference('simplify_reflect-',[status(thm)],[zip_derived_cl4488,zip_derived_cl1235]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.12 % Problem : ITP078^1 : TPTP v9.2.0. Released v7.5.0.
% 0.06/0.12 % Command : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.yiv2x2hY6K true
% 0.11/0.32 % Computer : n004.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 : Wed Oct 1 15:28:23 EDT 2025
% 0.11/0.32 % CPUTime :
% 0.11/0.32 % Running portfolio for 300 s
% 0.11/0.32 % File : /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.11/0.32 % Number of cores: 8
% 0.11/0.33 % Python version: Python 3.6.8
% 0.11/0.33 % Running in HO mode
% 0.43/0.58 % Total configuration time : 828
% 0.43/0.58 % Estimated wc time : 1656
% 0.43/0.58 % Estimated cpu time (8 cpus) : 207.0
% 0.43/0.60 % /export/starexec/sandbox/solver/bin/lams/40_c.s.sh running for 80s
% 0.43/0.61 % /export/starexec/sandbox/solver/bin/lams/35_full_unif4.sh running for 80s
% 0.43/0.62 % /export/starexec/sandbox/solver/bin/lams/40_c_ic.sh running for 80s
% 0.44/0.64 % /export/starexec/sandbox/solver/bin/lams/15_e_short1.sh running for 30s
% 0.44/0.64 % /export/starexec/sandbox/solver/bin/lams/40_noforms.sh running for 90s
% 0.44/0.64 % /export/starexec/sandbox/solver/bin/lams/40_b.comb.sh running for 70s
% 0.44/0.65 % /export/starexec/sandbox/solver/bin/lams/20_acsne_simpl.sh running for 40s
% 0.44/0.65 % /export/starexec/sandbox/solver/bin/lams/30_sp5.sh running for 60s
% 0.46/0.69 % /export/starexec/sandbox/solver/bin/lams/30_b.l.sh running for 90s
% 14.25/2.33 % Solved by lams/40_c_ic.sh.
% 14.25/2.33 % done 372 iterations in 1.684s
% 14.25/2.33 % SZS status Theorem for '/export/starexec/sandbox/benchmark/theBenchmark.p'
% 14.25/2.33 % SZS output start Refutation
% See solution above
% 14.25/2.33
% 14.25/2.33
% 14.25/2.33 % Terminating...
% 14.66/2.39 % Runner terminated.
% 14.66/2.40 % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------