%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : SYO249^5 : TPTP v9.2.0. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.u20LUI6VNg true
% Computer : n024.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 05:07:06 PM UTC 2025
% Result : Theorem 35.31s 5.08s
% Output : Refutation 35.31s
% Verified :
% SZS Type : Refutation
% Derivation depth : 3
% Number of leaves : 1
% Syntax : Number of formulae : 4 ( 1 unt; 0 typ; 0 def)
% Number of atoms : 251 ( 36 equ; 0 cnn)
% Maximal formula atoms : 100 ( 62 avg)
% Number of connectives : 481 ( 2 ~; 0 |; 90 &; 319 @)
% ( 6 <=>; 39 =>; 0 <=; 0 <~>)
% Maximal formula depth : 32 ( 22 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 3 ( 3 >; 0 *; 0 +; 0 <<)
% Number of symbols : 15 ( 11 usr; 3 con; 0-2 aty)
% ( 24 !!; 1 ??; 0 @@+; 0 @@-)
% Number of variables : 75 ( 25 ^; 48 !; 2 ?; 75 :)
% Comments :
%------------------------------------------------------------------------------
thf(cPHI_1_type,type,
cPHI_1: $i > $i ).
thf(cBIGPHI_type,type,
cBIGPHI: $i > $i ).
thf(cBIGHI_type,type,
cBIGHI: $i > $i ).
thf(cPHI_2_type,type,
cPHI_2: $i > $i ).
thf(el1_type,type,
el1: $i > ( $i > $o ) > $o ).
thf(cHH_2_type,type,
cHH_2: $i > $o ).
thf(cHH_1_type,type,
cHH_1: $i > $o ).
thf(cSS_PRIME_type,type,
cSS_PRIME: $i > $o ).
thf(cHOM_FROM_SS_PRIME_type,type,
cHOM_FROM_SS_PRIME: ( $i > $i ) > $o ).
thf(cTIMES_type,type,
cTIMES: $i > $i > $i ).
thf(cHOM_FROM_HH_1_type,type,
cHOM_FROM_HH_1: ( $i > $i ) > $o ).
thf(cPROB757,conjecture,
( ( ( cHOM_FROM_SS_PRIME @ cPHI_2 )
& ( cHOM_FROM_SS_PRIME @ cPHI_1 )
& ! [Xy: $i] :
( ( el1 @ Xy @ cHH_1 )
=> ? [Xx: $i] :
( ( el1 @ Xx @ cSS_PRIME )
& ( ( cPHI_1 @ Xx )
= Xy ) ) )
& ! [Xx: $i] :
( ( el1 @ Xx @ cSS_PRIME )
=> ( ( cBIGPHI @ ( cPHI_1 @ Xx ) )
= ( cPHI_2 @ Xx ) ) )
& ! [Xx: $i,Xy: $i] :
( ( ( Xx = Xy )
& ( el1 @ Xy @ cHH_1 )
& ( el1 @ Xx @ cHH_1 ) )
=> ( ( cBIGHI @ Xx )
= ( cBIGPHI @ Xy ) ) )
& ! [Xx: $i] :
( ( el1 @ Xx @ cSS_PRIME )
=> ( el1 @ ( cPHI_1 @ Xx ) @ cHH_1 ) )
& ! [Xx: $i] :
( ( el1 @ Xx @ cHH_1 )
=> ( el1 @ ( cBIGPHI @ Xx ) @ cHH_2 ) )
& ! [Xx: $i] :
( ( el1 @ Xx @ cSS_PRIME )
=> ( el1 @ ( cPHI_2 @ Xx ) @ cHH_2 ) )
& ! [Xx: $i,Xy: $i] :
( ( ( el1 @ Xy @ cHH_1 )
& ( el1 @ Xx @ cHH_1 ) )
=> ( el1 @ ( cTIMES @ Xx @ Xy ) @ cHH_1 ) )
& ( ( cHOM_FROM_HH_1 @ cBIGPHI )
<=> ! [Xx: $i,Xy: $i] :
( ( ( el1 @ Xy @ cHH_1 )
& ( el1 @ Xx @ cHH_1 ) )
=> ( ( cBIGPHI @ ( cTIMES @ Xx @ Xy ) )
= ( cTIMES @ ( cBIGPHI @ Xx ) @ ( cBIGPHI @ Xy ) ) ) ) )
& ! [Xphi: $i > $i] :
( ( cHOM_FROM_SS_PRIME @ Xphi )
<=> ! [Xx: $i,Xy: $i] :
( ( ( el1 @ Xy @ cSS_PRIME )
& ( el1 @ Xx @ cSS_PRIME ) )
=> ( ( Xphi @ ( cTIMES @ Xx @ Xy ) )
= ( cTIMES @ ( Xphi @ Xx ) @ ( Xphi @ Xy ) ) ) ) )
& ! [Xx1: $i,Xx2: $i,Xy1: $i,Xy2: $i] :
( ( ( Xy1 = Xy2 )
& ( Xx1 = Xx2 )
& ( el1 @ Xy2 @ cHH_1 )
& ( el1 @ Xy1 @ cHH_1 )
& ( el1 @ Xx2 @ cHH_1 )
& ( el1 @ Xx1 @ cHH_1 ) )
=> ( ( cTIMES @ Xx1 @ Xy1 )
= ( cTIMES @ Xx2 @ Xy2 ) ) )
& ! [Xx1: $i,Xx2: $i] :
( ( ( el1 @ Xx2 @ cSS_PRIME )
& ( el1 @ Xx1 @ cSS_PRIME ) )
=> ( el1 @ ( cTIMES @ Xx1 @ Xx2 ) @ cSS_PRIME ) )
& ! [Xx1: $i,Xx2: $i,Xy1: $i,Xy2: $i] :
( ( ( Xy1 = Xy2 )
& ( Xx1 = Xx2 )
& ( el1 @ Xy2 @ cHH_2 )
& ( el1 @ Xy1 @ cHH_2 )
& ( el1 @ Xx2 @ cHH_2 )
& ( el1 @ Xx1 @ cHH_2 ) )
=> ( ( cTIMES @ Xx1 @ Xy1 )
= ( cTIMES @ Xx2 @ Xy2 ) ) ) )
=> ( cHOM_FROM_HH_1 @ cBIGPHI ) ) ).
thf(zf_stmt_0,negated_conjecture,
~ ( ( ( cHOM_FROM_SS_PRIME @ cPHI_2 )
& ( cHOM_FROM_SS_PRIME @ cPHI_1 )
& ! [Xy: $i] :
( ( el1 @ Xy @ cHH_1 )
=> ? [Xx: $i] :
( ( el1 @ Xx @ cSS_PRIME )
& ( ( cPHI_1 @ Xx )
= Xy ) ) )
& ! [Xx: $i] :
( ( el1 @ Xx @ cSS_PRIME )
=> ( ( cBIGPHI @ ( cPHI_1 @ Xx ) )
= ( cPHI_2 @ Xx ) ) )
& ! [Xx: $i,Xy: $i] :
( ( ( Xx = Xy )
& ( el1 @ Xy @ cHH_1 )
& ( el1 @ Xx @ cHH_1 ) )
=> ( ( cBIGHI @ Xx )
= ( cBIGPHI @ Xy ) ) )
& ! [Xx: $i] :
( ( el1 @ Xx @ cSS_PRIME )
=> ( el1 @ ( cPHI_1 @ Xx ) @ cHH_1 ) )
& ! [Xx: $i] :
( ( el1 @ Xx @ cHH_1 )
=> ( el1 @ ( cBIGPHI @ Xx ) @ cHH_2 ) )
& ! [Xx: $i] :
( ( el1 @ Xx @ cSS_PRIME )
=> ( el1 @ ( cPHI_2 @ Xx ) @ cHH_2 ) )
& ! [Xx: $i,Xy: $i] :
( ( ( el1 @ Xy @ cHH_1 )
& ( el1 @ Xx @ cHH_1 ) )
=> ( el1 @ ( cTIMES @ Xx @ Xy ) @ cHH_1 ) )
& ( ( cHOM_FROM_HH_1 @ cBIGPHI )
<=> ! [Xx: $i,Xy: $i] :
( ( ( el1 @ Xy @ cHH_1 )
& ( el1 @ Xx @ cHH_1 ) )
=> ( ( cBIGPHI @ ( cTIMES @ Xx @ Xy ) )
= ( cTIMES @ ( cBIGPHI @ Xx ) @ ( cBIGPHI @ Xy ) ) ) ) )
& ! [Xphi: $i > $i] :
( ( cHOM_FROM_SS_PRIME @ Xphi )
<=> ! [Xx: $i,Xy: $i] :
( ( ( el1 @ Xy @ cSS_PRIME )
& ( el1 @ Xx @ cSS_PRIME ) )
=> ( ( Xphi @ ( cTIMES @ Xx @ Xy ) )
= ( cTIMES @ ( Xphi @ Xx ) @ ( Xphi @ Xy ) ) ) ) )
& ! [Xx1: $i,Xx2: $i,Xy1: $i,Xy2: $i] :
( ( ( Xy1 = Xy2 )
& ( Xx1 = Xx2 )
& ( el1 @ Xy2 @ cHH_1 )
& ( el1 @ Xy1 @ cHH_1 )
& ( el1 @ Xx2 @ cHH_1 )
& ( el1 @ Xx1 @ cHH_1 ) )
=> ( ( cTIMES @ Xx1 @ Xy1 )
= ( cTIMES @ Xx2 @ Xy2 ) ) )
& ! [Xx1: $i,Xx2: $i] :
( ( ( el1 @ Xx2 @ cSS_PRIME )
& ( el1 @ Xx1 @ cSS_PRIME ) )
=> ( el1 @ ( cTIMES @ Xx1 @ Xx2 ) @ cSS_PRIME ) )
& ! [Xx1: $i,Xx2: $i,Xy1: $i,Xy2: $i] :
( ( ( Xy1 = Xy2 )
& ( Xx1 = Xx2 )
& ( el1 @ Xy2 @ cHH_2 )
& ( el1 @ Xy1 @ cHH_2 )
& ( el1 @ Xx2 @ cHH_2 )
& ( el1 @ Xx1 @ cHH_2 ) )
=> ( ( cTIMES @ Xx1 @ Xy1 )
= ( cTIMES @ Xx2 @ Xy2 ) ) ) )
=> ( cHOM_FROM_HH_1 @ cBIGPHI ) ),
inference('cnf.neg',[status(esa)],[cPROB757]) ).
thf(zip_derived_cl0,plain,
~ ( ( ( cHOM_FROM_SS_PRIME @ cPHI_2 )
& ( cHOM_FROM_SS_PRIME @ cPHI_1 )
& ( !!
@ ^ [Y0: $i] :
( ( el1 @ Y0 @ cHH_1 )
=> ( ??
@ ^ [Y1: $i] :
( ( el1 @ Y1 @ cSS_PRIME )
& ( ( cPHI_1 @ Y1 )
= Y0 ) ) ) ) )
& ( !!
@ ^ [Y0: $i] :
( ( el1 @ Y0 @ cSS_PRIME )
=> ( ( cBIGPHI @ ( cPHI_1 @ Y0 ) )
= ( cPHI_2 @ Y0 ) ) ) )
& ( !!
@ ^ [Y0: $i] :
( !!
@ ^ [Y1: $i] :
( ( ( Y0 = Y1 )
& ( el1 @ Y1 @ cHH_1 )
& ( el1 @ Y0 @ cHH_1 ) )
=> ( ( cBIGHI @ Y0 )
= ( cBIGPHI @ Y1 ) ) ) ) )
& ( !!
@ ^ [Y0: $i] :
( ( el1 @ Y0 @ cSS_PRIME )
=> ( el1 @ ( cPHI_1 @ Y0 ) @ cHH_1 ) ) )
& ( !!
@ ^ [Y0: $i] :
( ( el1 @ Y0 @ cHH_1 )
=> ( el1 @ ( cBIGPHI @ Y0 ) @ cHH_2 ) ) )
& ( !!
@ ^ [Y0: $i] :
( ( el1 @ Y0 @ cSS_PRIME )
=> ( el1 @ ( cPHI_2 @ Y0 ) @ cHH_2 ) ) )
& ( !!
@ ^ [Y0: $i] :
( !!
@ ^ [Y1: $i] :
( ( ( el1 @ Y1 @ cHH_1 )
& ( el1 @ Y0 @ cHH_1 ) )
=> ( el1 @ ( cTIMES @ Y0 @ Y1 ) @ cHH_1 ) ) ) )
& ( ( cHOM_FROM_HH_1 @ cBIGPHI )
<=> ( !!
@ ^ [Y0: $i] :
( !!
@ ^ [Y1: $i] :
( ( ( el1 @ Y1 @ cHH_1 )
& ( el1 @ Y0 @ cHH_1 ) )
=> ( ( cBIGPHI @ ( cTIMES @ Y0 @ Y1 ) )
= ( cTIMES @ ( cBIGPHI @ Y0 ) @ ( cBIGPHI @ Y1 ) ) ) ) ) ) )
& ( !!
@ ^ [Y0: $i > $i] :
( ( cHOM_FROM_SS_PRIME @ Y0 )
<=> ( !!
@ ^ [Y1: $i] :
( !!
@ ^ [Y2: $i] :
( ( ( el1 @ Y2 @ cSS_PRIME )
& ( el1 @ Y1 @ cSS_PRIME ) )
=> ( ( Y0 @ ( cTIMES @ Y1 @ Y2 ) )
= ( cTIMES @ ( Y0 @ Y1 ) @ ( Y0 @ Y2 ) ) ) ) ) ) ) )
& ( !!
@ ^ [Y0: $i] :
( !!
@ ^ [Y1: $i] :
( !!
@ ^ [Y2: $i] :
( !!
@ ^ [Y3: $i] :
( ( ( Y2 = Y3 )
& ( Y0 = Y1 )
& ( el1 @ Y3 @ cHH_1 )
& ( el1 @ Y2 @ cHH_1 )
& ( el1 @ Y1 @ cHH_1 )
& ( el1 @ Y0 @ cHH_1 ) )
=> ( ( cTIMES @ Y0 @ Y2 )
= ( cTIMES @ Y1 @ Y3 ) ) ) ) ) ) )
& ( !!
@ ^ [Y0: $i] :
( !!
@ ^ [Y1: $i] :
( ( ( el1 @ Y1 @ cSS_PRIME )
& ( el1 @ Y0 @ cSS_PRIME ) )
=> ( el1 @ ( cTIMES @ Y0 @ Y1 ) @ cSS_PRIME ) ) ) )
& ( !!
@ ^ [Y0: $i] :
( !!
@ ^ [Y1: $i] :
( !!
@ ^ [Y2: $i] :
( !!
@ ^ [Y3: $i] :
( ( ( Y2 = Y3 )
& ( Y0 = Y1 )
& ( el1 @ Y3 @ cHH_2 )
& ( el1 @ Y2 @ cHH_2 )
& ( el1 @ Y1 @ cHH_2 )
& ( el1 @ Y0 @ cHH_2 ) )
=> ( ( cTIMES @ Y0 @ Y2 )
= ( cTIMES @ Y1 @ Y3 ) ) ) ) ) ) ) )
=> ( cHOM_FROM_HH_1 @ cBIGPHI ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl2542,plain,
$false,
inference(eprover,[status(thm)],[zip_derived_cl0]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.13 % Problem : SYO249^5 : TPTP v9.2.0. Released v4.0.0.
% 0.03/0.14 % Command : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.u20LUI6VNg true
% 0.13/0.35 % Computer : n024.cluster.edu
% 0.13/0.35 % Model : x86_64 x86_64
% 0.13/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.35 % Memory : 8042.1875MB
% 0.13/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.35 % CPULimit : 300
% 0.13/0.35 % WCLimit : 300
% 0.13/0.35 % DateTime : Wed Oct 1 18:03:38 EDT 2025
% 0.13/0.35 % CPUTime :
% 0.13/0.35 % Running portfolio for 300 s
% 0.13/0.35 % File : /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.13/0.35 % Number of cores: 8
% 0.13/0.35 % Python version: Python 3.6.8
% 0.13/0.36 % Running in HO mode
% 0.47/0.62 % Total configuration time : 828
% 0.47/0.62 % Estimated wc time : 1656
% 0.47/0.62 % Estimated cpu time (8 cpus) : 207.0
% 0.51/0.69 % /export/starexec/sandbox/solver/bin/lams/40_c.s.sh running for 80s
% 0.51/0.72 % /export/starexec/sandbox/solver/bin/lams/35_full_unif4.sh running for 80s
% 0.51/0.73 % /export/starexec/sandbox/solver/bin/lams/40_c_ic.sh running for 80s
% 0.52/0.73 % /export/starexec/sandbox/solver/bin/lams/15_e_short1.sh running for 30s
% 0.52/0.74 % /export/starexec/sandbox/solver/bin/lams/40_noforms.sh running for 90s
% 0.52/0.74 % /export/starexec/sandbox/solver/bin/lams/20_acsne_simpl.sh running for 40s
% 0.52/0.74 % /export/starexec/sandbox/solver/bin/lams/30_sp5.sh running for 60s
% 0.52/0.74 % /export/starexec/sandbox/solver/bin/lams/40_b.comb.sh running for 70s
% 35.31/5.08 % Solved by lams/15_e_short1.sh.
% 35.31/5.08 % done 184 iterations in 4.284s
% 35.31/5.08 % SZS status Theorem for '/export/starexec/sandbox/benchmark/theBenchmark.p'
% 35.31/5.08 % SZS output start Refutation
% See solution above
% 35.31/5.08
% 35.31/5.08
% 35.31/5.08 % Terminating...
% 35.31/5.19 % Runner terminated.
% 35.31/5.21 % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------