%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : ITP116^1 : 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.sAnbKwlnPy true
% Computer : n026.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 04:38:53 PM UTC 2025
% Result : Theorem 16.66s 3.01s
% Output : Refutation 16.66s
% Verified :
% SZS Type : Refutation
% Derivation depth : 9
% Number of leaves : 7
% Syntax : Number of formulae : 38 ( 24 unt; 0 typ; 0 def)
% Number of atoms : 57 ( 22 equ; 5 cnn)
% Maximal formula atoms : 4 ( 1 avg)
% Number of connectives : 323 ( 3 ~; 0 |; 0 &; 302 @)
% ( 0 <=>; 5 =>; 0 <=; 0 <~>)
% Maximal formula depth : 15 ( 6 avg)
% Number of types : 6 ( 5 usr)
% Number of type conns : 0 ( 0 >; 0 *; 0 +; 0 <<)
% Number of symbols : 24 ( 18 usr; 8 con; 0-6 aty)
% ( 13 !!; 0 ??; 0 @@+; 0 @@-)
% Number of variables : 34 ( 11 ^; 23 !; 0 ?; 34 :)
% Comments :
%------------------------------------------------------------------------------
thf(set_Fi1058188332real_n_type,type,
set_Fi1058188332real_n: $tType ).
thf(finite1489363574real_n_type,type,
finite1489363574real_n: $tType ).
thf(finite964658038_int_n_type,type,
finite964658038_int_n: $tType ).
thf(set_se2111327970real_n_type,type,
set_se2111327970real_n: $tType ).
thf(sigma_1466784463real_n_type,type,
sigma_1466784463real_n: $tType ).
thf(sigma_1235138647real_n_type,type,
sigma_1235138647real_n: sigma_1466784463real_n > set_se2111327970real_n ).
thf(minkow1134813771n_real_type,type,
minkow1134813771n_real: finite964658038_int_n > finite1489363574real_n ).
thf(plus_p585657087real_n_type,type,
plus_p585657087real_n: finite1489363574real_n > finite1489363574real_n > finite1489363574real_n ).
thf(lebesg260170249real_n_type,type,
lebesg260170249real_n: sigma_1466784463real_n ).
thf(borel_676189912real_n_type,type,
borel_676189912real_n: sigma_1466784463real_n ).
thf(vimage1233683625real_n_type,type,
vimage1233683625real_n: ( finite1489363574real_n > finite1489363574real_n ) > set_Fi1058188332real_n > set_Fi1058188332real_n ).
thf(sigma_346513458real_n_type,type,
sigma_346513458real_n: sigma_1466784463real_n > set_Fi1058188332real_n > sigma_1466784463real_n ).
thf(sigma_476185326real_n_type,type,
sigma_476185326real_n: sigma_1466784463real_n > set_Fi1058188332real_n ).
thf(inf_in1974387902real_n_type,type,
inf_in1974387902real_n: set_Fi1058188332real_n > set_Fi1058188332real_n > set_Fi1058188332real_n ).
thf(comple230862828real_n_type,type,
comple230862828real_n: sigma_1466784463real_n > sigma_1466784463real_n ).
thf(t2_type,type,
t2: finite964658038_int_n > set_Fi1058188332real_n ).
thf(a_type,type,
a: finite964658038_int_n ).
thf(member223413699real_n_type,type,
member223413699real_n: set_Fi1058188332real_n > set_se2111327970real_n > $o ).
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(conj_0,conjecture,
( member223413699real_n
@ ( vimage1233683625real_n
@ ^ [X: finite1489363574real_n] : ( plus_p585657087real_n @ X @ ( minkow1134813771n_real @ a ) )
@ ( t2 @ a ) )
@ ( sigma_1235138647real_n @ ( comple230862828real_n @ lebesg260170249real_n ) ) ) ).
thf(zf_stmt_0,negated_conjecture,
~ ( member223413699real_n
@ ( vimage1233683625real_n
@ ^ [X: finite1489363574real_n] : ( plus_p585657087real_n @ X @ ( minkow1134813771n_real @ a ) )
@ ( t2 @ a ) )
@ ( sigma_1235138647real_n @ ( comple230862828real_n @ lebesg260170249real_n ) ) ),
inference('cnf.neg',[status(esa)],[conj_0]) ).
thf(zip_derived_cl356,plain,
~ ( member223413699real_n
@ ( vimage1233683625real_n
@ ^ [Y0: finite1489363574real_n] : ( plus_p585657087real_n @ Y0 @ ( minkow1134813771n_real @ a ) )
@ ( t2 @ a ) )
@ ( sigma_1235138647real_n @ ( comple230862828real_n @ lebesg260170249real_n ) ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl357,plain,
~ ( member223413699real_n @ ( vimage1233683625real_n @ ( '#C' @ plus_p585657087real_n @ ( minkow1134813771n_real @ a ) ) @ ( t2 @ a ) ) @ ( sigma_1235138647real_n @ ( comple230862828real_n @ lebesg260170249real_n ) ) ),
inference(lams2combs,[status(thm)],[zip_derived_cl356]) ).
thf(fact_2__092_060open_062_092_060And_062a_O_AT_Aa_A_092_060in_062_Asets_Alebesgue_A_092_060Longrightarrow_062_A_I_092_060lambda_062x_O_Ax_A_L_Aof__int__vec_Aa_J_A_N_096_AT_Aa_A_092_060inter_062_Aspace_Alebesgue_A_092_060in_062_Asets_Alebesgue_092_060close_062,axiom,
! [A: finite964658038_int_n] :
( ( member223413699real_n @ ( t2 @ A ) @ ( sigma_1235138647real_n @ ( comple230862828real_n @ lebesg260170249real_n ) ) )
=> ( member223413699real_n
@ ( inf_in1974387902real_n
@ ( vimage1233683625real_n
@ ^ [X: finite1489363574real_n] : ( plus_p585657087real_n @ X @ ( minkow1134813771n_real @ A ) )
@ ( t2 @ A ) )
@ ( sigma_476185326real_n @ ( comple230862828real_n @ lebesg260170249real_n ) ) )
@ ( sigma_1235138647real_n @ ( comple230862828real_n @ lebesg260170249real_n ) ) ) ) ).
thf(zip_derived_cl2,plain,
( !!
@ ^ [Y0: finite964658038_int_n] :
( ( member223413699real_n @ ( t2 @ Y0 ) @ ( sigma_1235138647real_n @ ( comple230862828real_n @ lebesg260170249real_n ) ) )
=> ( member223413699real_n
@ ( inf_in1974387902real_n
@ ( vimage1233683625real_n
@ ^ [Y1: finite1489363574real_n] : ( plus_p585657087real_n @ Y1 @ ( minkow1134813771n_real @ Y0 ) )
@ ( t2 @ Y0 ) )
@ ( sigma_476185326real_n @ ( comple230862828real_n @ lebesg260170249real_n ) ) )
@ ( sigma_1235138647real_n @ ( comple230862828real_n @ lebesg260170249real_n ) ) ) ) ),
inference(cnf,[status(esa)],[fact_2__092_060open_062_092_060And_062a_O_AT_Aa_A_092_060in_062_Asets_Alebesgue_A_092_060Longrightarrow_062_A_I_092_060lambda_062x_O_Ax_A_L_Aof__int__vec_Aa_J_A_N_096_AT_Aa_A_092_060inter_062_Aspace_Alebesgue_A_092_060in_062_Asets_Alebesgue_092_060close_062]) ).
thf(zip_derived_cl3,plain,
!! @ ( '#S' @ ( '#B' @ (=>) @ ( '#C' @ ( '#B' @ member223413699real_n @ t2 ) @ ( sigma_1235138647real_n @ ( comple230862828real_n @ lebesg260170249real_n ) ) ) ) @ ( '#C' @ ( '#B' @ member223413699real_n @ ( '#C' @ ( '#B' @ inf_in1974387902real_n @ ( '#S' @ ( '#B' @ vimage1233683625real_n @ ( '#B' @ ( '#C' @ plus_p585657087real_n ) @ minkow1134813771n_real ) ) @ t2 ) ) @ ( sigma_476185326real_n @ ( comple230862828real_n @ lebesg260170249real_n ) ) ) ) @ ( sigma_1235138647real_n @ ( comple230862828real_n @ lebesg260170249real_n ) ) ) ),
inference(lams2combs,[status(thm)],[zip_derived_cl2]) ).
thf(zip_derived_cl383,plain,
! [X2: finite964658038_int_n] :
( ( member223413699real_n @ ( t2 @ X2 ) @ ( sigma_1235138647real_n @ ( comple230862828real_n @ lebesg260170249real_n ) ) )
=> ( member223413699real_n @ ( inf_in1974387902real_n @ ( vimage1233683625real_n @ ( '#C' @ plus_p585657087real_n @ ( minkow1134813771n_real @ X2 ) ) @ ( t2 @ X2 ) ) @ ( sigma_476185326real_n @ ( comple230862828real_n @ lebesg260170249real_n ) ) ) @ ( sigma_1235138647real_n @ ( comple230862828real_n @ lebesg260170249real_n ) ) ) ),
inference(lazy_cnf_forall,[status(thm)],[zip_derived_cl3]) ).
thf(fact_3__092_060open_062_092_060And_062a_O_AT_Aa_A_092_060in_062_Asets_Alebesgue_092_060close_062,axiom,
! [A: finite964658038_int_n] : ( member223413699real_n @ ( t2 @ A ) @ ( sigma_1235138647real_n @ ( comple230862828real_n @ lebesg260170249real_n ) ) ) ).
thf(zip_derived_cl4,plain,
( !!
@ ^ [Y0: finite964658038_int_n] : ( member223413699real_n @ ( t2 @ Y0 ) @ ( sigma_1235138647real_n @ ( comple230862828real_n @ lebesg260170249real_n ) ) ) ),
inference(cnf,[status(esa)],[fact_3__092_060open_062_092_060And_062a_O_AT_Aa_A_092_060in_062_Asets_Alebesgue_092_060close_062]) ).
thf(zip_derived_cl5,plain,
!! @ ( '#C' @ ( '#B' @ member223413699real_n @ t2 ) @ ( sigma_1235138647real_n @ ( comple230862828real_n @ lebesg260170249real_n ) ) ),
inference(lams2combs,[status(thm)],[zip_derived_cl4]) ).
thf(zip_derived_cl370,plain,
! [X2: finite964658038_int_n] : ( member223413699real_n @ ( t2 @ X2 ) @ ( sigma_1235138647real_n @ ( comple230862828real_n @ lebesg260170249real_n ) ) ),
inference(lazy_cnf_forall,[status(thm)],[zip_derived_cl5]) ).
thf(fact_43_space__completion,axiom,
! [M: sigma_1466784463real_n] :
( ( sigma_476185326real_n @ ( comple230862828real_n @ M ) )
= ( sigma_476185326real_n @ M ) ) ).
thf(zip_derived_cl32,plain,
( !!
@ ^ [Y0: sigma_1466784463real_n] :
( ( sigma_476185326real_n @ ( comple230862828real_n @ Y0 ) )
= ( sigma_476185326real_n @ Y0 ) ) ),
inference(cnf,[status(esa)],[fact_43_space__completion]) ).
thf(zip_derived_cl33,plain,
!! @ ( '#S' @ ( '#B' @ (=) @ ( '#B' @ sigma_476185326real_n @ comple230862828real_n ) ) @ sigma_476185326real_n ),
inference(lams2combs,[status(thm)],[zip_derived_cl32]) ).
thf(zip_derived_cl373,plain,
! [X2: sigma_1466784463real_n] :
( ( sigma_476185326real_n @ ( comple230862828real_n @ X2 ) )
= ( sigma_476185326real_n @ X2 ) ),
inference(lazy_cnf_forall,[status(thm)],[zip_derived_cl33]) ).
thf(zip_derived_cl374,plain,
! [X2: sigma_1466784463real_n] :
( ( sigma_476185326real_n @ ( comple230862828real_n @ X2 ) )
= ( sigma_476185326real_n @ X2 ) ),
inference('simplify nested equalities',[status(thm)],[zip_derived_cl373]) ).
thf(fact_277_space__lborel,axiom,
( ( sigma_476185326real_n @ lebesg260170249real_n )
= ( sigma_476185326real_n @ borel_676189912real_n ) ) ).
thf(zip_derived_cl272,plain,
( ( sigma_476185326real_n @ lebesg260170249real_n )
= ( sigma_476185326real_n @ borel_676189912real_n ) ),
inference(cnf,[status(esa)],[fact_277_space__lborel]) ).
thf(zip_derived_cl384,plain,
! [X2: finite964658038_int_n] :
( $true
=> ( member223413699real_n @ ( inf_in1974387902real_n @ ( vimage1233683625real_n @ ( '#C' @ plus_p585657087real_n @ ( minkow1134813771n_real @ X2 ) ) @ ( t2 @ X2 ) ) @ ( sigma_476185326real_n @ borel_676189912real_n ) ) @ ( sigma_1235138647real_n @ ( comple230862828real_n @ lebesg260170249real_n ) ) ) ),
inference(demod,[status(thm)],[zip_derived_cl383,zip_derived_cl370,zip_derived_cl374,zip_derived_cl272]) ).
thf(zip_derived_cl385,plain,
! [X2: finite964658038_int_n] : ( member223413699real_n @ ( inf_in1974387902real_n @ ( vimage1233683625real_n @ ( '#C' @ plus_p585657087real_n @ ( minkow1134813771n_real @ X2 ) ) @ ( t2 @ X2 ) ) @ ( sigma_476185326real_n @ borel_676189912real_n ) ) @ ( sigma_1235138647real_n @ ( comple230862828real_n @ lebesg260170249real_n ) ) ),
inference('simplify boolean subterms',[status(thm)],[zip_derived_cl384]) ).
thf(fact_268_space__restrict__space,axiom,
! [M: sigma_1466784463real_n,Omega: set_Fi1058188332real_n] :
( ( sigma_476185326real_n @ ( sigma_346513458real_n @ M @ Omega ) )
= ( inf_in1974387902real_n @ Omega @ ( sigma_476185326real_n @ M ) ) ) ).
thf(zip_derived_cl258,plain,
( !!
@ ^ [Y0: sigma_1466784463real_n] :
( !!
@ ^ [Y1: set_Fi1058188332real_n] :
( ( sigma_476185326real_n @ ( sigma_346513458real_n @ Y0 @ Y1 ) )
= ( inf_in1974387902real_n @ Y1 @ ( sigma_476185326real_n @ Y0 ) ) ) ) ),
inference(cnf,[status(esa)],[fact_268_space__restrict__space]) ).
thf(zip_derived_cl259,plain,
!! @ ( '#B' @ !! @ ( '#S' @ ( '#B' @ '#S' @ ( '#B' @ ( '#B' @ (=) ) @ ( '#B' @ ( '#B' @ sigma_476185326real_n ) @ sigma_346513458real_n ) ) ) @ ( '#B' @ ( '#C' @ inf_in1974387902real_n ) @ sigma_476185326real_n ) ) ),
inference(lams2combs,[status(thm)],[zip_derived_cl258]) ).
thf(zip_derived_cl429,plain,
! [X2: sigma_1466784463real_n] : ( !! @ ( '#S' @ ( '#B' @ (=) @ ( '#B' @ sigma_476185326real_n @ ( sigma_346513458real_n @ X2 ) ) ) @ ( '#C' @ inf_in1974387902real_n @ ( sigma_476185326real_n @ X2 ) ) ) ),
inference(lazy_cnf_forall,[status(thm)],[zip_derived_cl259]) ).
thf(zip_derived_cl430,plain,
! [X2: sigma_1466784463real_n,X4: set_Fi1058188332real_n] :
( ( sigma_476185326real_n @ ( sigma_346513458real_n @ X2 @ X4 ) )
= ( inf_in1974387902real_n @ X4 @ ( sigma_476185326real_n @ X2 ) ) ),
inference(lazy_cnf_forall,[status(thm)],[zip_derived_cl429]) ).
thf(zip_derived_cl431,plain,
! [X2: sigma_1466784463real_n,X4: set_Fi1058188332real_n] :
( ( sigma_476185326real_n @ ( sigma_346513458real_n @ X2 @ X4 ) )
= ( inf_in1974387902real_n @ X4 @ ( sigma_476185326real_n @ X2 ) ) ),
inference('simplify nested equalities',[status(thm)],[zip_derived_cl430]) ).
thf(fact_275_space__lebesgue__on,axiom,
! [S: set_Fi1058188332real_n] :
( ( sigma_476185326real_n @ ( sigma_346513458real_n @ ( comple230862828real_n @ lebesg260170249real_n ) @ S ) )
= S ) ).
thf(zip_derived_cl268,plain,
( !!
@ ^ [Y0: set_Fi1058188332real_n] :
( ( sigma_476185326real_n @ ( sigma_346513458real_n @ ( comple230862828real_n @ lebesg260170249real_n ) @ Y0 ) )
= Y0 ) ),
inference(cnf,[status(esa)],[fact_275_space__lebesgue__on]) ).
thf(zip_derived_cl269,plain,
!! @ ( '#S' @ ( '#B' @ (=) @ ( '#B' @ sigma_476185326real_n @ ( sigma_346513458real_n @ ( comple230862828real_n @ lebesg260170249real_n ) ) ) ) @ '#I' ),
inference(lams2combs,[status(thm)],[zip_derived_cl268]) ).
thf(zip_derived_cl396,plain,
! [X2: set_Fi1058188332real_n] :
( ( sigma_476185326real_n @ ( sigma_346513458real_n @ ( comple230862828real_n @ lebesg260170249real_n ) @ X2 ) )
= X2 ),
inference(lazy_cnf_forall,[status(thm)],[zip_derived_cl269]) ).
thf(zip_derived_cl397,plain,
! [X2: set_Fi1058188332real_n] :
( ( sigma_476185326real_n @ ( sigma_346513458real_n @ ( comple230862828real_n @ lebesg260170249real_n ) @ X2 ) )
= X2 ),
inference('simplify nested equalities',[status(thm)],[zip_derived_cl396]) ).
thf(zip_derived_cl1432,plain,
! [X0: set_Fi1058188332real_n] :
( ( inf_in1974387902real_n @ X0 @ ( sigma_476185326real_n @ ( comple230862828real_n @ lebesg260170249real_n ) ) )
= X0 ),
inference('sup+',[status(thm)],[zip_derived_cl431,zip_derived_cl397]) ).
thf(zip_derived_cl374_001,plain,
! [X2: sigma_1466784463real_n] :
( ( sigma_476185326real_n @ ( comple230862828real_n @ X2 ) )
= ( sigma_476185326real_n @ X2 ) ),
inference('simplify nested equalities',[status(thm)],[zip_derived_cl373]) ).
thf(zip_derived_cl272_002,plain,
( ( sigma_476185326real_n @ lebesg260170249real_n )
= ( sigma_476185326real_n @ borel_676189912real_n ) ),
inference(cnf,[status(esa)],[fact_277_space__lborel]) ).
thf(zip_derived_cl1439,plain,
! [X0: set_Fi1058188332real_n] :
( ( inf_in1974387902real_n @ X0 @ ( sigma_476185326real_n @ borel_676189912real_n ) )
= X0 ),
inference(demod,[status(thm)],[zip_derived_cl1432,zip_derived_cl374,zip_derived_cl272]) ).
thf(zip_derived_cl1568,plain,
! [X2: finite964658038_int_n] : ( member223413699real_n @ ( vimage1233683625real_n @ ( '#C' @ plus_p585657087real_n @ ( minkow1134813771n_real @ X2 ) ) @ ( t2 @ X2 ) ) @ ( sigma_1235138647real_n @ ( comple230862828real_n @ lebesg260170249real_n ) ) ),
inference(demod,[status(thm)],[zip_derived_cl385,zip_derived_cl1439]) ).
thf(zip_derived_cl1569,plain,
$false,
inference(demod,[status(thm)],[zip_derived_cl357,zip_derived_cl1568]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.13 % Problem : ITP116^1 : TPTP v9.2.0. Released v7.5.0.
% 0.07/0.14 % Command : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.sAnbKwlnPy true
% 0.14/0.36 % Computer : n026.cluster.edu
% 0.14/0.36 % Model : x86_64 x86_64
% 0.14/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.36 % Memory : 8042.1875MB
% 0.14/0.36 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.36 % CPULimit : 300
% 0.14/0.36 % WCLimit : 300
% 0.14/0.36 % DateTime : Wed Oct 1 15:26:23 EDT 2025
% 0.14/0.36 % CPUTime :
% 0.14/0.36 % Running portfolio for 300 s
% 0.14/0.36 % File : /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.14/0.36 % Number of cores: 8
% 0.14/0.36 % Python version: Python 3.6.8
% 0.14/0.36 % 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
% 0.57/0.75 % /export/starexec/sandbox/solver/bin/lams/40_c.s.sh running for 80s
% 0.58/0.76 % /export/starexec/sandbox/solver/bin/lams/35_full_unif4.sh running for 80s
% 0.58/0.77 % /export/starexec/sandbox/solver/bin/lams/40_c_ic.sh running for 80s
% 0.58/0.77 % /export/starexec/sandbox/solver/bin/lams/40_noforms.sh running for 90s
% 0.58/0.77 % /export/starexec/sandbox/solver/bin/lams/15_e_short1.sh running for 30s
% 0.58/0.78 % /export/starexec/sandbox/solver/bin/lams/40_b.comb.sh running for 70s
% 0.58/0.79 % /export/starexec/sandbox/solver/bin/lams/20_acsne_simpl.sh running for 40s
% 0.58/0.80 % /export/starexec/sandbox/solver/bin/lams/30_sp5.sh running for 60s
% 0.59/0.94 % /export/starexec/sandbox/solver/bin/lams/30_b.l.sh running for 90s
% 16.66/3.01 % Solved by lams/40_b.comb.sh.
% 16.66/3.01 % done 68 iterations in 2.206s
% 16.66/3.01 % SZS status Theorem for '/export/starexec/sandbox/benchmark/theBenchmark.p'
% 16.66/3.01 % SZS output start Refutation
% See solution above
% 16.66/3.01
% 16.66/3.01
% 16.66/3.01 % Terminating...
% 16.66/3.13 % Runner terminated.
% 16.66/3.14 % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------