%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : ITP043^1 : 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.DdptuixYq2 true
% Computer : n022.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 04:38:39 PM UTC 2025
% Result : Theorem 7.16s 1.53s
% Output : Refutation 7.16s
% Verified :
% SZS Type : Refutation
% Derivation depth : 8
% Number of leaves : 4
% Syntax : Number of formulae : 19 ( 17 unt; 0 typ; 0 def)
% Number of atoms : 22 ( 18 equ; 0 cnn)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 134 ( 4 ~; 0 |; 0 &; 127 @)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 5 ( 2 avg)
% Number of types : 3 ( 3 usr)
% Number of type conns : 0 ( 0 >; 0 *; 0 +; 0 <<)
% Number of symbols : 13 ( 10 usr; 7 con; 0-2 aty)
% ( 3 !!; 0 ??; 0 @@+; 0 @@-)
% Number of variables : 12 ( 3 ^; 9 !; 0 ?; 12 :)
% Comments :
%------------------------------------------------------------------------------
thf(list_a_type,type,
list_a: $tType ).
thf(nat_type,type,
nat: $tType ).
thf(a_type,type,
a: $tType ).
thf(descar1375166517sums_a_type,type,
descar1375166517sums_a: list_a > list_a ).
thf(append_a_type,type,
append_a: list_a > list_a > list_a ).
thf(xsa_type,type,
xsa: list_a ).
thf(replicate_a_type,type,
replicate_a: nat > a > list_a ).
thf(nth_a_type,type,
nth_a: list_a > nat > a ).
thf(xs2_type,type,
xs2: list_a ).
thf(cons_a_type,type,
cons_a: a > list_a > list_a ).
thf(p_type,type,
p: nat ).
thf(xs1_type,type,
xs1: list_a ).
thf(zero_zero_a_type,type,
zero_zero_a: a ).
thf(conj_0,conjecture,
( ( descar1375166517sums_a @ xsa )
= ( append_a @ ( replicate_a @ p @ zero_zero_a ) @ ( descar1375166517sums_a @ ( cons_a @ ( nth_a @ xsa @ p ) @ xs2 ) ) ) ) ).
thf(zf_stmt_0,negated_conjecture,
( ( descar1375166517sums_a @ xsa )
!= ( append_a @ ( replicate_a @ p @ zero_zero_a ) @ ( descar1375166517sums_a @ ( cons_a @ ( nth_a @ xsa @ p ) @ xs2 ) ) ) ),
inference('cnf.neg',[status(esa)],[conj_0]) ).
thf(zip_derived_cl351,plain,
( ( descar1375166517sums_a @ xsa )
!= ( append_a @ ( replicate_a @ p @ zero_zero_a ) @ ( descar1375166517sums_a @ ( cons_a @ ( nth_a @ xsa @ p ) @ xs2 ) ) ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(fact_5_xs1__def,axiom,
( xs1
= ( replicate_a @ p @ zero_zero_a ) ) ).
thf(zip_derived_cl5,plain,
( xs1
= ( replicate_a @ p @ zero_zero_a ) ),
inference(cnf,[status(esa)],[fact_5_xs1__def]) ).
thf(zip_derived_cl354,plain,
( ( descar1375166517sums_a @ xsa )
!= ( append_a @ xs1 @ ( descar1375166517sums_a @ ( cons_a @ ( nth_a @ xsa @ p ) @ xs2 ) ) ) ),
inference(demod,[status(thm)],[zip_derived_cl351,zip_derived_cl5]) ).
thf(zip_derived_cl5_001,plain,
( xs1
= ( replicate_a @ p @ zero_zero_a ) ),
inference(cnf,[status(esa)],[fact_5_xs1__def]) ).
thf(fact_8_psums__replicate__0__append,axiom,
! [N: nat,Xs: list_a] :
( ( descar1375166517sums_a @ ( append_a @ ( replicate_a @ N @ zero_zero_a ) @ Xs ) )
= ( append_a @ ( replicate_a @ N @ zero_zero_a ) @ ( descar1375166517sums_a @ Xs ) ) ) ).
thf(zip_derived_cl8,plain,
( !!
@ ^ [Y0: nat] :
( !!
@ ^ [Y1: list_a] :
( ( descar1375166517sums_a @ ( append_a @ ( replicate_a @ Y0 @ zero_zero_a ) @ Y1 ) )
= ( append_a @ ( replicate_a @ Y0 @ zero_zero_a ) @ ( descar1375166517sums_a @ Y1 ) ) ) ) ),
inference(cnf,[status(esa)],[fact_8_psums__replicate__0__append]) ).
thf(zip_derived_cl836,plain,
! [X2: nat] :
( !!
@ ^ [Y0: list_a] :
( ( descar1375166517sums_a @ ( append_a @ ( replicate_a @ X2 @ zero_zero_a ) @ Y0 ) )
= ( append_a @ ( replicate_a @ X2 @ zero_zero_a ) @ ( descar1375166517sums_a @ Y0 ) ) ) ),
inference(lazy_cnf_forall,[status(thm)],[zip_derived_cl8]) ).
thf(zip_derived_cl837,plain,
! [X2: nat,X4: list_a] :
( ( descar1375166517sums_a @ ( append_a @ ( replicate_a @ X2 @ zero_zero_a ) @ X4 ) )
= ( append_a @ ( replicate_a @ X2 @ zero_zero_a ) @ ( descar1375166517sums_a @ X4 ) ) ),
inference(lazy_cnf_forall,[status(thm)],[zip_derived_cl836]) ).
thf(zip_derived_cl838,plain,
! [X2: nat,X4: list_a] :
( ( descar1375166517sums_a @ ( append_a @ ( replicate_a @ X2 @ zero_zero_a ) @ X4 ) )
= ( append_a @ ( replicate_a @ X2 @ zero_zero_a ) @ ( descar1375166517sums_a @ X4 ) ) ),
inference('simplify nested equalities',[status(thm)],[zip_derived_cl837]) ).
thf(zip_derived_cl839,plain,
! [X0: list_a] :
( ( descar1375166517sums_a @ ( append_a @ ( replicate_a @ p @ zero_zero_a ) @ X0 ) )
= ( append_a @ xs1 @ ( descar1375166517sums_a @ X0 ) ) ),
inference('sup+',[status(thm)],[zip_derived_cl5,zip_derived_cl838]) ).
thf(zip_derived_cl5_002,plain,
( xs1
= ( replicate_a @ p @ zero_zero_a ) ),
inference(cnf,[status(esa)],[fact_5_xs1__def]) ).
thf(zip_derived_cl862,plain,
! [X0: list_a] :
( ( descar1375166517sums_a @ ( append_a @ xs1 @ X0 ) )
= ( append_a @ xs1 @ ( descar1375166517sums_a @ X0 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl839,zip_derived_cl5]) ).
thf(fact_6_xs__decompose,axiom,
( xsa
= ( append_a @ xs1 @ ( cons_a @ ( nth_a @ xsa @ p ) @ xs2 ) ) ) ).
thf(zip_derived_cl6,plain,
( xsa
= ( append_a @ xs1 @ ( cons_a @ ( nth_a @ xsa @ p ) @ xs2 ) ) ),
inference(cnf,[status(esa)],[fact_6_xs__decompose]) ).
thf(zip_derived_cl894,plain,
( ( descar1375166517sums_a @ xsa )
!= ( descar1375166517sums_a @ xsa ) ),
inference(demod,[status(thm)],[zip_derived_cl354,zip_derived_cl862,zip_derived_cl6]) ).
thf(zip_derived_cl895,plain,
$false,
inference(simplify,[status(thm)],[zip_derived_cl894]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : ITP043^1 : TPTP v9.2.0. Released v7.5.0.
% 0.07/0.13 % Command : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.DdptuixYq2 true
% 0.12/0.35 % Computer : n022.cluster.edu
% 0.12/0.35 % Model : x86_64 x86_64
% 0.12/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.35 % Memory : 8042.1875MB
% 0.12/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.35 % CPULimit : 300
% 0.12/0.35 % WCLimit : 300
% 0.12/0.35 % DateTime : Wed Oct 1 15:34:38 EDT 2025
% 0.12/0.35 % CPUTime :
% 0.12/0.35 % Running portfolio for 300 s
% 0.12/0.35 % File : /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.12/0.36 % Number of cores: 8
% 0.12/0.36 % Python version: Python 3.6.8
% 0.12/0.36 % Running in HO mode
% 0.55/0.69 % Total configuration time : 828
% 0.55/0.69 % Estimated wc time : 1656
% 0.55/0.69 % Estimated cpu time (8 cpus) : 207.0
% 0.56/0.76 % /export/starexec/sandbox/solver/bin/lams/40_c.s.sh running for 80s
% 0.56/0.79 % /export/starexec/sandbox/solver/bin/lams/35_full_unif4.sh running for 80s
% 0.56/0.79 % /export/starexec/sandbox/solver/bin/lams/40_c_ic.sh running for 80s
% 0.56/0.80 % /export/starexec/sandbox/solver/bin/lams/15_e_short1.sh running for 30s
% 0.56/0.81 % /export/starexec/sandbox/solver/bin/lams/40_noforms.sh running for 90s
% 0.57/0.87 % /export/starexec/sandbox/solver/bin/lams/40_b.comb.sh running for 70s
% 0.57/0.87 % /export/starexec/sandbox/solver/bin/lams/30_sp5.sh running for 60s
% 0.57/0.88 % /export/starexec/sandbox/solver/bin/lams/20_acsne_simpl.sh running for 40s
% 0.58/0.94 % /export/starexec/sandbox/solver/bin/lams/30_b.l.sh running for 90s
% 7.16/1.53 % Solved by lams/15_e_short1.sh.
% 7.16/1.53 % done 48 iterations in 0.709s
% 7.16/1.53 % SZS status Theorem for '/export/starexec/sandbox/benchmark/theBenchmark.p'
% 7.16/1.53 % SZS output start Refutation
% See solution above
% 7.16/1.53
% 7.16/1.53
% 7.16/1.53 % Terminating...
% 7.42/1.65 % Runner terminated.
% 7.42/1.67 % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------