%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : NUM845+2 : 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.4YGFajeZCo true
% Computer : n029.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 04:48:30 PM UTC 2025
% Result : Theorem 0.57s 0.85s
% Output : Refutation 0.57s
% Verified :
% SZS Type : Refutation
% Derivation depth : 7
% Number of leaves : 26
% Syntax : Number of formulae : 41 ( 37 unt; 0 typ; 0 def)
% Number of atoms : 45 ( 44 equ; 0 cnn)
% Maximal formula atoms : 2 ( 1 avg)
% Number of connectives : 303 ( 4 ~; 0 |; 2 &; 295 @)
% ( 0 <=>; 2 =>; 0 <=; 0 <~>)
% Maximal formula depth : 4 ( 3 avg)
% Number of types : 1 ( 0 usr)
% Number of type conns : 0 ( 0 >; 0 *; 0 +; 0 <<)
% Number of symbols : 8 ( 6 usr; 4 con; 0-2 aty)
% Number of variables : 55 ( 0 ^; 55 !; 0 ?; 55 :)
% Comments :
%------------------------------------------------------------------------------
thf(v1_type,type,
v1: $i ).
thf(vsucc_type,type,
vsucc: $i > $i ).
thf(sk__type,type,
sk_: $i ).
thf(vmul_type,type,
vmul: $i > $i > $i ).
thf(vd411_type,type,
vd411: $i ).
thf(vplus_type,type,
vplus: $i > $i > $i ).
thf('qu(ind(267), imp(267))',conjecture,
! [Vd416: $i] :
( ( ( vmul @ ( vsucc @ vd411 ) @ Vd416 )
= ( vplus @ ( vmul @ vd411 @ Vd416 ) @ Vd416 ) )
=> ( ( vmul @ ( vsucc @ vd411 ) @ ( vsucc @ Vd416 ) )
= ( vplus @ ( vmul @ vd411 @ ( vsucc @ Vd416 ) ) @ ( vsucc @ Vd416 ) ) ) ) ).
thf(zf_stmt_0,negated_conjecture,
~ ! [Vd416: $i] :
( ( ( vmul @ ( vsucc @ vd411 ) @ Vd416 )
= ( vplus @ ( vmul @ vd411 @ Vd416 ) @ Vd416 ) )
=> ( ( vmul @ ( vsucc @ vd411 ) @ ( vsucc @ Vd416 ) )
= ( vplus @ ( vmul @ vd411 @ ( vsucc @ Vd416 ) ) @ ( vsucc @ Vd416 ) ) ) ),
inference('cnf.neg',[status(esa)],[qu(ind(267),imp(267))]) ).
thf(zip_derived_cl0,plain,
( ( vmul @ ( vsucc @ vd411 ) @ sk_ )
= ( vplus @ ( vmul @ vd411 @ sk_ ) @ sk_ ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf('qu(cond(conseq(axiom(3)), 3), and(holds(definiens(29), 45, 0), holds(definiens(29), 44, 0)))',axiom,
! [Vd42: $i,Vd43: $i] :
( ( ( vplus @ Vd42 @ v1 )
= ( vsucc @ Vd42 ) )
& ( ( vplus @ Vd42 @ ( vsucc @ Vd43 ) )
= ( vsucc @ ( vplus @ Vd42 @ Vd43 ) ) ) ) ).
thf(zip_derived_cl17,plain,
! [X0: $i] :
( ( vplus @ X0 @ v1 )
= ( vsucc @ X0 ) ),
inference(cnf,[status(esa)],[qu(cond(conseq(axiom(3)),3),and(holds(definiens(29),45,0),holds(definiens(29),44,0)))]) ).
thf('ass(cond(61, 0), 0)',axiom,
! [Vd78: $i,Vd79: $i] :
( ( vplus @ Vd79 @ Vd78 )
= ( vplus @ Vd78 @ Vd79 ) ) ).
thf(zip_derived_cl13,plain,
! [X0: $i,X1: $i] :
( ( vplus @ X1 @ X0 )
= ( vplus @ X0 @ X1 ) ),
inference(cnf,[status(esa)],[ass(cond(61,0),0)]) ).
thf(zip_derived_cl19,plain,
( ( vmul @ ( vplus @ vd411 @ v1 ) @ sk_ )
= ( vplus @ sk_ @ ( vmul @ vd411 @ sk_ ) ) ),
inference(demod,[status(thm)],[zip_derived_cl0,zip_derived_cl17,zip_derived_cl13]) ).
thf('ass(cond(33, 0), 0)',axiom,
! [Vd46: $i,Vd47: $i,Vd48: $i] :
( ( vplus @ ( vplus @ Vd46 @ Vd47 ) @ Vd48 )
= ( vplus @ Vd46 @ ( vplus @ Vd47 @ Vd48 ) ) ) ).
thf(zip_derived_cl15,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( vplus @ ( vplus @ X0 @ X1 ) @ X2 )
= ( vplus @ X0 @ ( vplus @ X1 @ X2 ) ) ),
inference(cnf,[status(esa)],[ass(cond(33,0),0)]) ).
thf(zip_derived_cl74,plain,
! [X0: $i] :
( ( vplus @ ( vmul @ ( vplus @ vd411 @ v1 ) @ sk_ ) @ X0 )
= ( vplus @ sk_ @ ( vplus @ ( vmul @ vd411 @ sk_ ) @ X0 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl19,zip_derived_cl15]) ).
thf('qu(cond(conseq(axiom(3)), 32), and(holds(definiens(249), 399, 0), holds(definiens(249), 398, 0)))',axiom,
! [Vd396: $i,Vd397: $i] :
( ( ( vmul @ Vd396 @ v1 )
= Vd396 )
& ( ( vmul @ Vd396 @ ( vsucc @ Vd397 ) )
= ( vplus @ ( vmul @ Vd396 @ Vd397 ) @ Vd396 ) ) ) ).
thf(zip_derived_cl11,plain,
! [X0: $i,X1: $i] :
( ( vmul @ X0 @ ( vsucc @ X1 ) )
= ( vplus @ ( vmul @ X0 @ X1 ) @ X0 ) ),
inference(cnf,[status(esa)],[qu(cond(conseq(axiom(3)),32),and(holds(definiens(249),399,0),holds(definiens(249),398,0)))]) ).
thf(zip_derived_cl17_001,plain,
! [X0: $i] :
( ( vplus @ X0 @ v1 )
= ( vsucc @ X0 ) ),
inference(cnf,[status(esa)],[qu(cond(conseq(axiom(3)),3),and(holds(definiens(29),45,0),holds(definiens(29),44,0)))]) ).
thf(zip_derived_cl20,plain,
! [X0: $i,X1: $i] :
( ( vmul @ X0 @ ( vplus @ X1 @ v1 ) )
= ( vplus @ ( vmul @ X0 @ X1 ) @ X0 ) ),
inference(demod,[status(thm)],[zip_derived_cl11,zip_derived_cl17]) ).
thf(zip_derived_cl96,plain,
( ( vmul @ ( vplus @ vd411 @ v1 ) @ ( vplus @ sk_ @ v1 ) )
= ( vplus @ sk_ @ ( vplus @ ( vmul @ vd411 @ sk_ ) @ ( vplus @ vd411 @ v1 ) ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl74,zip_derived_cl20]) ).
thf(zip_derived_cl13_002,plain,
! [X0: $i,X1: $i] :
( ( vplus @ X1 @ X0 )
= ( vplus @ X0 @ X1 ) ),
inference(cnf,[status(esa)],[ass(cond(61,0),0)]) ).
thf(zip_derived_cl16,plain,
! [X0: $i,X1: $i] :
( ( vplus @ X0 @ ( vsucc @ X1 ) )
= ( vsucc @ ( vplus @ X0 @ X1 ) ) ),
inference(cnf,[status(esa)],[qu(cond(conseq(axiom(3)),3),and(holds(definiens(29),45,0),holds(definiens(29),44,0)))]) ).
thf(zip_derived_cl17_003,plain,
! [X0: $i] :
( ( vplus @ X0 @ v1 )
= ( vsucc @ X0 ) ),
inference(cnf,[status(esa)],[qu(cond(conseq(axiom(3)),3),and(holds(definiens(29),45,0),holds(definiens(29),44,0)))]) ).
thf(zip_derived_cl17_004,plain,
! [X0: $i] :
( ( vplus @ X0 @ v1 )
= ( vsucc @ X0 ) ),
inference(cnf,[status(esa)],[qu(cond(conseq(axiom(3)),3),and(holds(definiens(29),45,0),holds(definiens(29),44,0)))]) ).
thf(zip_derived_cl13_005,plain,
! [X0: $i,X1: $i] :
( ( vplus @ X1 @ X0 )
= ( vplus @ X0 @ X1 ) ),
inference(cnf,[status(esa)],[ass(cond(61,0),0)]) ).
thf(zip_derived_cl21,plain,
! [X0: $i,X1: $i] :
( ( vplus @ X0 @ ( vplus @ X1 @ v1 ) )
= ( vplus @ v1 @ ( vplus @ X0 @ X1 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl16,zip_derived_cl17,zip_derived_cl17,zip_derived_cl13]) ).
thf(zip_derived_cl20_006,plain,
! [X0: $i,X1: $i] :
( ( vmul @ X0 @ ( vplus @ X1 @ v1 ) )
= ( vplus @ ( vmul @ X0 @ X1 ) @ X0 ) ),
inference(demod,[status(thm)],[zip_derived_cl11,zip_derived_cl17]) ).
thf(zip_derived_cl13_007,plain,
! [X0: $i,X1: $i] :
( ( vplus @ X1 @ X0 )
= ( vplus @ X0 @ X1 ) ),
inference(cnf,[status(esa)],[ass(cond(61,0),0)]) ).
thf(zip_derived_cl101,plain,
( ( vmul @ ( vplus @ vd411 @ v1 ) @ ( vplus @ v1 @ sk_ ) )
= ( vplus @ sk_ @ ( vplus @ v1 @ ( vmul @ vd411 @ ( vplus @ v1 @ sk_ ) ) ) ) ),
inference(demod,[status(thm)],[zip_derived_cl96,zip_derived_cl13,zip_derived_cl21,zip_derived_cl20,zip_derived_cl13]) ).
thf(zip_derived_cl13_008,plain,
! [X0: $i,X1: $i] :
( ( vplus @ X1 @ X0 )
= ( vplus @ X0 @ X1 ) ),
inference(cnf,[status(esa)],[ass(cond(61,0),0)]) ).
thf(zip_derived_cl21_009,plain,
! [X0: $i,X1: $i] :
( ( vplus @ X0 @ ( vplus @ X1 @ v1 ) )
= ( vplus @ v1 @ ( vplus @ X0 @ X1 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl16,zip_derived_cl17,zip_derived_cl17,zip_derived_cl13]) ).
thf(zip_derived_cl43,plain,
! [X0: $i,X1: $i] :
( ( vplus @ X1 @ ( vplus @ v1 @ X0 ) )
= ( vplus @ v1 @ ( vplus @ X1 @ X0 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl13,zip_derived_cl21]) ).
thf(zip_derived_cl181,plain,
( ( vmul @ ( vplus @ vd411 @ v1 ) @ ( vplus @ v1 @ sk_ ) )
= ( vplus @ v1 @ ( vplus @ sk_ @ ( vmul @ vd411 @ ( vplus @ v1 @ sk_ ) ) ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl101,zip_derived_cl43]) ).
thf(zip_derived_cl1,plain,
( ( vmul @ ( vsucc @ vd411 ) @ ( vsucc @ sk_ ) )
!= ( vplus @ ( vmul @ vd411 @ ( vsucc @ sk_ ) ) @ ( vsucc @ sk_ ) ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf('ass(cond(43, 0), 0)',axiom,
! [Vd59: $i] :
( ( vplus @ v1 @ Vd59 )
= ( vsucc @ Vd59 ) ) ).
thf(zip_derived_cl14,plain,
! [X0: $i] :
( ( vplus @ v1 @ X0 )
= ( vsucc @ X0 ) ),
inference(cnf,[status(esa)],[ass(cond(43,0),0)]) ).
thf(zip_derived_cl14_010,plain,
! [X0: $i] :
( ( vplus @ v1 @ X0 )
= ( vsucc @ X0 ) ),
inference(cnf,[status(esa)],[ass(cond(43,0),0)]) ).
thf(zip_derived_cl14_011,plain,
! [X0: $i] :
( ( vplus @ v1 @ X0 )
= ( vsucc @ X0 ) ),
inference(cnf,[status(esa)],[ass(cond(43,0),0)]) ).
thf(zip_derived_cl14_012,plain,
! [X0: $i] :
( ( vplus @ v1 @ X0 )
= ( vsucc @ X0 ) ),
inference(cnf,[status(esa)],[ass(cond(43,0),0)]) ).
thf(zip_derived_cl18,plain,
( ( vmul @ ( vplus @ v1 @ vd411 ) @ ( vplus @ v1 @ sk_ ) )
!= ( vplus @ ( vmul @ vd411 @ ( vplus @ v1 @ sk_ ) ) @ ( vplus @ v1 @ sk_ ) ) ),
inference(demod,[status(thm)],[zip_derived_cl1,zip_derived_cl14,zip_derived_cl14,zip_derived_cl14,zip_derived_cl14]) ).
thf(zip_derived_cl13_013,plain,
! [X0: $i,X1: $i] :
( ( vplus @ X1 @ X0 )
= ( vplus @ X0 @ X1 ) ),
inference(cnf,[status(esa)],[ass(cond(61,0),0)]) ).
thf(zip_derived_cl13_014,plain,
! [X0: $i,X1: $i] :
( ( vplus @ X1 @ X0 )
= ( vplus @ X0 @ X1 ) ),
inference(cnf,[status(esa)],[ass(cond(61,0),0)]) ).
thf(zip_derived_cl15_015,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( vplus @ ( vplus @ X0 @ X1 ) @ X2 )
= ( vplus @ X0 @ ( vplus @ X1 @ X2 ) ) ),
inference(cnf,[status(esa)],[ass(cond(33,0),0)]) ).
thf(zip_derived_cl22,plain,
( ( vmul @ ( vplus @ vd411 @ v1 ) @ ( vplus @ v1 @ sk_ ) )
!= ( vplus @ v1 @ ( vplus @ sk_ @ ( vmul @ vd411 @ ( vplus @ v1 @ sk_ ) ) ) ) ),
inference(demod,[status(thm)],[zip_derived_cl18,zip_derived_cl13,zip_derived_cl13,zip_derived_cl15]) ).
thf(zip_derived_cl202,plain,
$false,
inference('simplify_reflect-',[status(thm)],[zip_derived_cl181,zip_derived_cl22]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.13 % Problem : NUM845+2 : TPTP v9.2.0. Released v4.1.0.
% 0.03/0.14 % Command : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.4YGFajeZCo true
% 0.13/0.36 % Computer : n029.cluster.edu
% 0.13/0.36 % Model : x86_64 x86_64
% 0.13/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.36 % Memory : 8042.1875MB
% 0.13/0.36 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.36 % CPULimit : 300
% 0.13/0.36 % WCLimit : 300
% 0.13/0.36 % DateTime : Wed Oct 1 16:52:08 EDT 2025
% 0.13/0.36 % CPUTime :
% 0.13/0.36 % Running portfolio for 300 s
% 0.13/0.36 % File : /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.20/0.36 % Number of cores: 8
% 0.20/0.36 % Python version: Python 3.6.8
% 0.20/0.36 % Running in FO mode
% 0.56/0.67 % Total configuration time : 435
% 0.56/0.67 % Estimated wc time : 1092
% 0.56/0.67 % Estimated cpu time (7 cpus) : 156.0
% 0.56/0.72 % /export/starexec/sandbox/solver/bin/fo/fo6_bce.sh running for 75s
% 0.56/0.74 % /export/starexec/sandbox/solver/bin/fo/fo3_bce.sh running for 75s
% 0.57/0.77 % /export/starexec/sandbox/solver/bin/fo/fo1_av.sh running for 75s
% 0.57/0.77 % /export/starexec/sandbox/solver/bin/fo/fo7.sh running for 63s
% 0.57/0.77 % /export/starexec/sandbox/solver/bin/fo/fo13.sh running for 50s
% 0.57/0.77 % /export/starexec/sandbox/solver/bin/fo/fo5.sh running for 50s
% 0.57/0.77 % /export/starexec/sandbox/solver/bin/fo/fo4.sh running for 50s
% 0.57/0.85 % Solved by fo/fo13.sh.
% 0.57/0.85 % done 20 iterations in 0.054s
% 0.57/0.85 % SZS status Theorem for '/export/starexec/sandbox/benchmark/theBenchmark.p'
% 0.57/0.85 % SZS output start Refutation
% See solution above
% 0.57/0.85
% 0.57/0.85
% 0.57/0.85 % Terminating...
% 1.61/0.89 % Runner terminated.
% 1.61/0.90 % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------