%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : ALG353-1 : TPTP v9.2.0. Released v4.1.0.
% Transfm : none
% Format : tptp:raw
% Command : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.Bgg1qE0lMj 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 04:28:39 PM UTC 2025
% Result : Unsatisfiable 1.93s 1.19s
% Output : Refutation 1.93s
% Verified :
% SZS Type : Refutation
% Derivation depth : 6
% Number of leaves : 5
% Syntax : Number of formulae : 25 ( 18 unt; 0 typ; 0 def)
% Number of atoms : 38 ( 0 equ; 0 cnn)
% Maximal formula atoms : 4 ( 1 avg)
% Number of connectives : 391 ( 26 ~; 9 |; 0 &; 352 @)
% ( 0 <=>; 0 =>; 4 <=; 0 <~>)
% Maximal formula depth : 12 ( 9 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 0 ( 0 >; 0 *; 0 +; 0 <<)
% Number of symbols : 10 ( 9 usr; 5 con; 0-3 aty)
% Number of variables : 0 ( 0 ^; 0 !; 0 ?; 0 :)
% Comments :
%------------------------------------------------------------------------------
thf(tc_RealDef_Oreal_type,type,
tc_RealDef_Oreal: $i ).
thf(c_lessequals_type,type,
c_lessequals: $i > $i > $i > $o ).
thf(c_HOL_Oone__class_Oone_type,type,
c_HOL_Oone__class_Oone: $i > $i ).
thf(tc_Complex_Ocomplex_type,type,
tc_Complex_Ocomplex: $i ).
thf(c_HOL_Oplus__class_Oplus_type,type,
c_HOL_Oplus__class_Oplus: $i > $i > $i > $i ).
thf(c_HOL_Ominus__class_Ominus_type,type,
c_HOL_Ominus__class_Ominus: $i > $i > $i > $i ).
thf(v_z_type,type,
v_z: $i ).
thf(c_Complex_Oii_type,type,
c_Complex_Oii: $i ).
thf(c_RealVector_Onorm__class_Onorm_type,type,
c_RealVector_Onorm__class_Onorm: $i > $i > $i ).
thf(cls_CHAINED_0,axiom,
( ~ ( c_lessequals @ ( c_HOL_Oone__class_Oone @ tc_RealDef_Oreal ) @ ( c_RealVector_Onorm__class_Onorm @ ( c_HOL_Ominus__class_Ominus @ v_z @ c_Complex_Oii @ tc_Complex_Ocomplex ) @ tc_Complex_Ocomplex ) @ tc_RealDef_Oreal )
| ~ ( c_lessequals @ ( c_HOL_Oone__class_Oone @ tc_RealDef_Oreal ) @ ( c_RealVector_Onorm__class_Onorm @ ( c_HOL_Oplus__class_Oplus @ v_z @ c_Complex_Oii @ tc_Complex_Ocomplex ) @ tc_Complex_Ocomplex ) @ tc_RealDef_Oreal )
| ~ ( c_lessequals @ ( c_HOL_Oone__class_Oone @ tc_RealDef_Oreal ) @ ( c_RealVector_Onorm__class_Onorm @ ( c_HOL_Ominus__class_Ominus @ v_z @ ( c_HOL_Oone__class_Oone @ tc_Complex_Ocomplex ) @ tc_Complex_Ocomplex ) @ tc_Complex_Ocomplex ) @ tc_RealDef_Oreal )
| ~ ( c_lessequals @ ( c_HOL_Oone__class_Oone @ tc_RealDef_Oreal ) @ ( c_RealVector_Onorm__class_Onorm @ ( c_HOL_Oplus__class_Oplus @ v_z @ ( c_HOL_Oone__class_Oone @ tc_Complex_Ocomplex ) @ tc_Complex_Ocomplex ) @ tc_Complex_Ocomplex ) @ tc_RealDef_Oreal ) ) ).
thf(zip_derived_cl619,plain,
( ~ ( c_lessequals @ ( c_HOL_Oone__class_Oone @ tc_RealDef_Oreal ) @ ( c_RealVector_Onorm__class_Onorm @ ( c_HOL_Ominus__class_Ominus @ v_z @ c_Complex_Oii @ tc_Complex_Ocomplex ) @ tc_Complex_Ocomplex ) @ tc_RealDef_Oreal )
| ~ ( c_lessequals @ ( c_HOL_Oone__class_Oone @ tc_RealDef_Oreal ) @ ( c_RealVector_Onorm__class_Onorm @ ( c_HOL_Oplus__class_Oplus @ v_z @ c_Complex_Oii @ tc_Complex_Ocomplex ) @ tc_Complex_Ocomplex ) @ tc_RealDef_Oreal )
| ~ ( c_lessequals @ ( c_HOL_Oone__class_Oone @ tc_RealDef_Oreal ) @ ( c_RealVector_Onorm__class_Onorm @ ( c_HOL_Ominus__class_Ominus @ v_z @ ( c_HOL_Oone__class_Oone @ tc_Complex_Ocomplex ) @ tc_Complex_Ocomplex ) @ tc_Complex_Ocomplex ) @ tc_RealDef_Oreal )
| ~ ( c_lessequals @ ( c_HOL_Oone__class_Oone @ tc_RealDef_Oreal ) @ ( c_RealVector_Onorm__class_Onorm @ ( c_HOL_Oplus__class_Oplus @ v_z @ ( c_HOL_Oone__class_Oone @ tc_Complex_Ocomplex ) @ tc_Complex_Ocomplex ) @ tc_Complex_Ocomplex ) @ tc_RealDef_Oreal ) ),
inference(cnf,[status(esa)],[cls_CHAINED_0]) ).
thf(zip_derived_cl746,plain,
( ~ ( c_lessequals @ ( c_HOL_Oone__class_Oone @ tc_RealDef_Oreal ) @ ( c_RealVector_Onorm__class_Onorm @ ( c_HOL_Ominus__class_Ominus @ v_z @ ( c_HOL_Oone__class_Oone @ tc_Complex_Ocomplex ) @ tc_Complex_Ocomplex ) @ tc_Complex_Ocomplex ) @ tc_RealDef_Oreal )
<= ~ ( c_lessequals @ ( c_HOL_Oone__class_Oone @ tc_RealDef_Oreal ) @ ( c_RealVector_Onorm__class_Onorm @ ( c_HOL_Ominus__class_Ominus @ v_z @ ( c_HOL_Oone__class_Oone @ tc_Complex_Ocomplex ) @ tc_Complex_Ocomplex ) @ tc_Complex_Ocomplex ) @ tc_RealDef_Oreal ) ),
inference(split,[status(esa)],[zip_derived_cl619]) ).
thf(cls_conjecture_3,conjecture,
~ ( c_lessequals @ ( c_HOL_Oone__class_Oone @ tc_RealDef_Oreal ) @ ( c_RealVector_Onorm__class_Onorm @ ( c_HOL_Ominus__class_Ominus @ v_z @ c_Complex_Oii @ tc_Complex_Ocomplex ) @ tc_Complex_Ocomplex ) @ tc_RealDef_Oreal ) ).
thf(zf_stmt_0,negated_conjecture,
c_lessequals @ ( c_HOL_Oone__class_Oone @ tc_RealDef_Oreal ) @ ( c_RealVector_Onorm__class_Onorm @ ( c_HOL_Ominus__class_Ominus @ v_z @ c_Complex_Oii @ tc_Complex_Ocomplex ) @ tc_Complex_Ocomplex ) @ tc_RealDef_Oreal,
inference('cnf.neg',[status(esa)],[cls_conjecture_3]) ).
thf(zip_derived_cl623,plain,
c_lessequals @ ( c_HOL_Oone__class_Oone @ tc_RealDef_Oreal ) @ ( c_RealVector_Onorm__class_Onorm @ ( c_HOL_Ominus__class_Ominus @ v_z @ c_Complex_Oii @ tc_Complex_Ocomplex ) @ tc_Complex_Ocomplex ) @ tc_RealDef_Oreal,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl748,plain,
( ~ ( c_lessequals @ ( c_HOL_Oone__class_Oone @ tc_RealDef_Oreal ) @ ( c_RealVector_Onorm__class_Onorm @ ( c_HOL_Ominus__class_Ominus @ v_z @ c_Complex_Oii @ tc_Complex_Ocomplex ) @ tc_Complex_Ocomplex ) @ tc_RealDef_Oreal )
<= ~ ( c_lessequals @ ( c_HOL_Oone__class_Oone @ tc_RealDef_Oreal ) @ ( c_RealVector_Onorm__class_Onorm @ ( c_HOL_Ominus__class_Ominus @ v_z @ c_Complex_Oii @ tc_Complex_Ocomplex ) @ tc_Complex_Ocomplex ) @ tc_RealDef_Oreal ) ),
inference(split,[status(esa)],[zip_derived_cl619]) ).
thf('0',plain,
c_lessequals @ ( c_HOL_Oone__class_Oone @ tc_RealDef_Oreal ) @ ( c_RealVector_Onorm__class_Onorm @ ( c_HOL_Ominus__class_Ominus @ v_z @ c_Complex_Oii @ tc_Complex_Ocomplex ) @ tc_Complex_Ocomplex ) @ tc_RealDef_Oreal,
inference('s_sup-',[status(thm)],[zip_derived_cl623,zip_derived_cl748]) ).
thf(cls_conjecture_2,conjecture,
~ ( c_lessequals @ ( c_HOL_Oone__class_Oone @ tc_RealDef_Oreal ) @ ( c_RealVector_Onorm__class_Onorm @ ( c_HOL_Oplus__class_Oplus @ v_z @ c_Complex_Oii @ tc_Complex_Ocomplex ) @ tc_Complex_Ocomplex ) @ tc_RealDef_Oreal ) ).
thf(zf_stmt_1,negated_conjecture,
c_lessequals @ ( c_HOL_Oone__class_Oone @ tc_RealDef_Oreal ) @ ( c_RealVector_Onorm__class_Onorm @ ( c_HOL_Oplus__class_Oplus @ v_z @ c_Complex_Oii @ tc_Complex_Ocomplex ) @ tc_Complex_Ocomplex ) @ tc_RealDef_Oreal,
inference('cnf.neg',[status(esa)],[cls_conjecture_2]) ).
thf(zip_derived_cl622,plain,
c_lessequals @ ( c_HOL_Oone__class_Oone @ tc_RealDef_Oreal ) @ ( c_RealVector_Onorm__class_Onorm @ ( c_HOL_Oplus__class_Oplus @ v_z @ c_Complex_Oii @ tc_Complex_Ocomplex ) @ tc_Complex_Ocomplex ) @ tc_RealDef_Oreal,
inference(cnf,[status(esa)],[zf_stmt_1]) ).
thf(zip_derived_cl747,plain,
( ~ ( c_lessequals @ ( c_HOL_Oone__class_Oone @ tc_RealDef_Oreal ) @ ( c_RealVector_Onorm__class_Onorm @ ( c_HOL_Oplus__class_Oplus @ v_z @ c_Complex_Oii @ tc_Complex_Ocomplex ) @ tc_Complex_Ocomplex ) @ tc_RealDef_Oreal )
<= ~ ( c_lessequals @ ( c_HOL_Oone__class_Oone @ tc_RealDef_Oreal ) @ ( c_RealVector_Onorm__class_Onorm @ ( c_HOL_Oplus__class_Oplus @ v_z @ c_Complex_Oii @ tc_Complex_Ocomplex ) @ tc_Complex_Ocomplex ) @ tc_RealDef_Oreal ) ),
inference(split,[status(esa)],[zip_derived_cl619]) ).
thf('1',plain,
c_lessequals @ ( c_HOL_Oone__class_Oone @ tc_RealDef_Oreal ) @ ( c_RealVector_Onorm__class_Onorm @ ( c_HOL_Oplus__class_Oplus @ v_z @ c_Complex_Oii @ tc_Complex_Ocomplex ) @ tc_Complex_Ocomplex ) @ tc_RealDef_Oreal,
inference('s_sup-',[status(thm)],[zip_derived_cl622,zip_derived_cl747]) ).
thf(cls_conjecture_0,conjecture,
~ ( c_lessequals @ ( c_HOL_Oone__class_Oone @ tc_RealDef_Oreal ) @ ( c_RealVector_Onorm__class_Onorm @ ( c_HOL_Oplus__class_Oplus @ v_z @ ( c_HOL_Oone__class_Oone @ tc_Complex_Ocomplex ) @ tc_Complex_Ocomplex ) @ tc_Complex_Ocomplex ) @ tc_RealDef_Oreal ) ).
thf(zf_stmt_2,negated_conjecture,
c_lessequals @ ( c_HOL_Oone__class_Oone @ tc_RealDef_Oreal ) @ ( c_RealVector_Onorm__class_Onorm @ ( c_HOL_Oplus__class_Oplus @ v_z @ ( c_HOL_Oone__class_Oone @ tc_Complex_Ocomplex ) @ tc_Complex_Ocomplex ) @ tc_Complex_Ocomplex ) @ tc_RealDef_Oreal,
inference('cnf.neg',[status(esa)],[cls_conjecture_0]) ).
thf(zip_derived_cl620,plain,
c_lessequals @ ( c_HOL_Oone__class_Oone @ tc_RealDef_Oreal ) @ ( c_RealVector_Onorm__class_Onorm @ ( c_HOL_Oplus__class_Oplus @ v_z @ ( c_HOL_Oone__class_Oone @ tc_Complex_Ocomplex ) @ tc_Complex_Ocomplex ) @ tc_Complex_Ocomplex ) @ tc_RealDef_Oreal,
inference(cnf,[status(esa)],[zf_stmt_2]) ).
thf(zip_derived_cl745,plain,
( ~ ( c_lessequals @ ( c_HOL_Oone__class_Oone @ tc_RealDef_Oreal ) @ ( c_RealVector_Onorm__class_Onorm @ ( c_HOL_Oplus__class_Oplus @ v_z @ ( c_HOL_Oone__class_Oone @ tc_Complex_Ocomplex ) @ tc_Complex_Ocomplex ) @ tc_Complex_Ocomplex ) @ tc_RealDef_Oreal )
<= ~ ( c_lessequals @ ( c_HOL_Oone__class_Oone @ tc_RealDef_Oreal ) @ ( c_RealVector_Onorm__class_Onorm @ ( c_HOL_Oplus__class_Oplus @ v_z @ ( c_HOL_Oone__class_Oone @ tc_Complex_Ocomplex ) @ tc_Complex_Ocomplex ) @ tc_Complex_Ocomplex ) @ tc_RealDef_Oreal ) ),
inference(split,[status(esa)],[zip_derived_cl619]) ).
thf('2',plain,
c_lessequals @ ( c_HOL_Oone__class_Oone @ tc_RealDef_Oreal ) @ ( c_RealVector_Onorm__class_Onorm @ ( c_HOL_Oplus__class_Oplus @ v_z @ ( c_HOL_Oone__class_Oone @ tc_Complex_Ocomplex ) @ tc_Complex_Ocomplex ) @ tc_Complex_Ocomplex ) @ tc_RealDef_Oreal,
inference('s_sup-',[status(thm)],[zip_derived_cl620,zip_derived_cl745]) ).
thf('3',plain,
( ~ ( c_lessequals @ ( c_HOL_Oone__class_Oone @ tc_RealDef_Oreal ) @ ( c_RealVector_Onorm__class_Onorm @ ( c_HOL_Ominus__class_Ominus @ v_z @ ( c_HOL_Oone__class_Oone @ tc_Complex_Ocomplex ) @ tc_Complex_Ocomplex ) @ tc_Complex_Ocomplex ) @ tc_RealDef_Oreal )
| ~ ( c_lessequals @ ( c_HOL_Oone__class_Oone @ tc_RealDef_Oreal ) @ ( c_RealVector_Onorm__class_Onorm @ ( c_HOL_Oplus__class_Oplus @ v_z @ ( c_HOL_Oone__class_Oone @ tc_Complex_Ocomplex ) @ tc_Complex_Ocomplex ) @ tc_Complex_Ocomplex ) @ tc_RealDef_Oreal )
| ~ ( c_lessequals @ ( c_HOL_Oone__class_Oone @ tc_RealDef_Oreal ) @ ( c_RealVector_Onorm__class_Onorm @ ( c_HOL_Oplus__class_Oplus @ v_z @ c_Complex_Oii @ tc_Complex_Ocomplex ) @ tc_Complex_Ocomplex ) @ tc_RealDef_Oreal )
| ~ ( c_lessequals @ ( c_HOL_Oone__class_Oone @ tc_RealDef_Oreal ) @ ( c_RealVector_Onorm__class_Onorm @ ( c_HOL_Ominus__class_Ominus @ v_z @ c_Complex_Oii @ tc_Complex_Ocomplex ) @ tc_Complex_Ocomplex ) @ tc_RealDef_Oreal ) ),
inference(split,[status(esa)],[zip_derived_cl619]) ).
thf('4',plain,
~ ( c_lessequals @ ( c_HOL_Oone__class_Oone @ tc_RealDef_Oreal ) @ ( c_RealVector_Onorm__class_Onorm @ ( c_HOL_Ominus__class_Ominus @ v_z @ ( c_HOL_Oone__class_Oone @ tc_Complex_Ocomplex ) @ tc_Complex_Ocomplex ) @ tc_Complex_Ocomplex ) @ tc_RealDef_Oreal ),
inference('sat_resolution*',[status(thm)],['0','1','2','3']) ).
thf(zip_derived_cl757,plain,
~ ( c_lessequals @ ( c_HOL_Oone__class_Oone @ tc_RealDef_Oreal ) @ ( c_RealVector_Onorm__class_Onorm @ ( c_HOL_Ominus__class_Ominus @ v_z @ ( c_HOL_Oone__class_Oone @ tc_Complex_Ocomplex ) @ tc_Complex_Ocomplex ) @ tc_Complex_Ocomplex ) @ tc_RealDef_Oreal ),
inference(simpl_trail,[status(thm)],[zip_derived_cl746,'4']) ).
thf(cls_conjecture_1,conjecture,
~ ( c_lessequals @ ( c_HOL_Oone__class_Oone @ tc_RealDef_Oreal ) @ ( c_RealVector_Onorm__class_Onorm @ ( c_HOL_Ominus__class_Ominus @ v_z @ ( c_HOL_Oone__class_Oone @ tc_Complex_Ocomplex ) @ tc_Complex_Ocomplex ) @ tc_Complex_Ocomplex ) @ tc_RealDef_Oreal ) ).
thf(zf_stmt_3,negated_conjecture,
c_lessequals @ ( c_HOL_Oone__class_Oone @ tc_RealDef_Oreal ) @ ( c_RealVector_Onorm__class_Onorm @ ( c_HOL_Ominus__class_Ominus @ v_z @ ( c_HOL_Oone__class_Oone @ tc_Complex_Ocomplex ) @ tc_Complex_Ocomplex ) @ tc_Complex_Ocomplex ) @ tc_RealDef_Oreal,
inference('cnf.neg',[status(esa)],[cls_conjecture_1]) ).
thf(zip_derived_cl621,plain,
c_lessequals @ ( c_HOL_Oone__class_Oone @ tc_RealDef_Oreal ) @ ( c_RealVector_Onorm__class_Onorm @ ( c_HOL_Ominus__class_Ominus @ v_z @ ( c_HOL_Oone__class_Oone @ tc_Complex_Ocomplex ) @ tc_Complex_Ocomplex ) @ tc_Complex_Ocomplex ) @ tc_RealDef_Oreal,
inference(cnf,[status(esa)],[zf_stmt_3]) ).
thf(zip_derived_cl760,plain,
$false,
inference(demod,[status(thm)],[zip_derived_cl757,zip_derived_cl621]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.05/0.22 % Problem : ALG353-1 : TPTP v9.2.0. Released v4.1.0.
% 0.10/0.26 % Command : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.Bgg1qE0lMj true
% 0.11/0.45 % Computer : n004.cluster.edu
% 0.11/0.45 % Model : x86_64 x86_64
% 0.11/0.45 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.45 % Memory : 8042.1875MB
% 0.11/0.45 % OS : Linux 3.10.0-693.el7.x86_64
% 0.11/0.45 % CPULimit : 300
% 0.11/0.45 % WCLimit : 300
% 0.11/0.45 % DateTime : Wed Oct 1 17:05:08 EDT 2025
% 0.11/0.46 % CPUTime :
% 0.11/0.46 % Running portfolio for 300 s
% 0.11/0.46 % File : /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.11/0.46 % Number of cores: 8
% 0.11/0.46 % Python version: Python 3.6.8
% 0.11/0.46 % Running in FO mode
% 0.41/0.73 % Total configuration time : 435
% 0.41/0.73 % Estimated wc time : 1092
% 0.41/0.73 % Estimated cpu time (7 cpus) : 156.0
% 0.43/0.92 % /export/starexec/sandbox/solver/bin/fo/fo6_bce.sh running for 75s
% 0.43/0.93 % /export/starexec/sandbox/solver/bin/fo/fo3_bce.sh running for 75s
% 0.43/0.95 % /export/starexec/sandbox/solver/bin/fo/fo7.sh running for 63s
% 0.43/0.95 % /export/starexec/sandbox/solver/bin/fo/fo1_av.sh running for 75s
% 0.43/0.95 % /export/starexec/sandbox/solver/bin/fo/fo5.sh running for 50s
% 0.43/0.97 % /export/starexec/sandbox/solver/bin/fo/fo13.sh running for 50s
% 0.43/0.98 % /export/starexec/sandbox/solver/bin/fo/fo4.sh running for 50s
% 1.93/1.19 % Solved by fo/fo1_av.sh.
% 1.93/1.19 % done 34 iterations in 0.169s
% 1.93/1.19 % SZS status Theorem for '/export/starexec/sandbox/benchmark/theBenchmark.p'
% 1.93/1.19 % SZS output start Refutation
% See solution above
% 1.93/1.19
% 1.93/1.19
% 1.93/1.19 % Terminating...
% 2.09/1.37 % Runner terminated.
% 2.14/1.40 % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------