%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : NUM847+2 : TPTP v9.2.0. Released v4.1.0.
% Transfm : none
% Format : tptp:raw
% Command : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.fVtA2Aan8u true
% Computer : n031.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 0.59s 0.77s
% Output : Refutation 0.59s
% Verified :
% SZS Type : Refutation
% Derivation depth : 5
% Number of leaves : 12
% Syntax : Number of formulae : 19 ( 19 unt; 0 typ; 0 def)
% Number of atoms : 19 ( 18 equ; 0 cnn)
% Maximal formula atoms : 1 ( 1 avg)
% Number of connectives : 187 ( 5 ~; 0 |; 0 &; 182 @)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 4 ( 2 avg)
% Number of types : 1 ( 0 usr)
% Number of type conns : 0 ( 0 >; 0 *; 0 +; 0 <<)
% Number of symbols : 7 ( 5 usr; 4 con; 0-2 aty)
% Number of variables : 18 ( 0 ^; 18 !; 0 ?; 18 :)
% Comments :
%------------------------------------------------------------------------------
thf(vd439_type,type,
vd439: $i ).
thf(vd437_type,type,
vd437: $i ).
thf(vd436_type,type,
vd436: $i ).
thf(vmul_type,type,
vmul: $i > $i > $i ).
thf(vplus_type,type,
vplus: $i > $i > $i ).
thf('holds(286, 441, 3)',conjecture,
( ( vplus @ ( vplus @ ( vmul @ vd436 @ vd437 ) @ ( vmul @ vd436 @ vd439 ) ) @ vd436 )
= ( vplus @ ( vmul @ vd436 @ vd437 ) @ ( vplus @ ( vmul @ vd436 @ vd439 ) @ vd436 ) ) ) ).
thf(zf_stmt_0,negated_conjecture,
( ( vplus @ ( vplus @ ( vmul @ vd436 @ vd437 ) @ ( vmul @ vd436 @ vd439 ) ) @ vd436 )
!= ( vplus @ ( vmul @ vd436 @ vd437 ) @ ( vplus @ ( vmul @ vd436 @ vd439 ) @ vd436 ) ) ),
inference('cnf.neg',[status(esa)],[holds(286,441,3)]) ).
thf(zip_derived_cl0,plain,
( ( vplus @ ( vplus @ ( vmul @ vd436 @ vd437 ) @ ( vmul @ vd436 @ vd439 ) ) @ vd436 )
!= ( vplus @ ( vmul @ vd436 @ vd437 ) @ ( vplus @ ( vmul @ vd436 @ vd439 ) @ vd436 ) ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf('holds(285, 440, 0)',axiom,
( ( vmul @ vd436 @ ( vplus @ vd437 @ vd439 ) )
= ( vplus @ ( vmul @ vd436 @ vd437 ) @ ( vmul @ vd436 @ vd439 ) ) ) ).
thf(zip_derived_cl4,plain,
( ( vmul @ vd436 @ ( vplus @ vd437 @ vd439 ) )
= ( vplus @ ( vmul @ vd436 @ vd437 ) @ ( vmul @ vd436 @ vd439 ) ) ),
inference(cnf,[status(esa)],[holds(285,440,0)]) ).
thf(zip_derived_cl21,plain,
( ( vplus @ ( vmul @ vd436 @ ( vplus @ vd437 @ vd439 ) ) @ vd436 )
!= ( vplus @ ( vmul @ vd436 @ vd437 ) @ ( vplus @ ( vmul @ vd436 @ vd439 ) @ vd436 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl0,zip_derived_cl4]) ).
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_cl13_001,plain,
! [X0: $i,X1: $i] :
( ( vplus @ X1 @ X0 )
= ( vplus @ X0 @ X1 ) ),
inference(cnf,[status(esa)],[ass(cond(61,0),0)]) ).
thf(zip_derived_cl25,plain,
( ( vplus @ vd436 @ ( vmul @ vd436 @ ( vplus @ vd437 @ vd439 ) ) )
!= ( vplus @ ( vmul @ vd436 @ vd437 ) @ ( vplus @ vd436 @ ( vmul @ vd436 @ vd439 ) ) ) ),
inference(demod,[status(thm)],[zip_derived_cl21,zip_derived_cl13,zip_derived_cl13]) ).
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_cl4_003,plain,
( ( vmul @ vd436 @ ( vplus @ vd437 @ vd439 ) )
= ( vplus @ ( vmul @ vd436 @ vd437 ) @ ( vmul @ vd436 @ vd439 ) ) ),
inference(cnf,[status(esa)],[holds(285,440,0)]) ).
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_cl16,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_cl68,plain,
! [X0: $i] :
( ( vplus @ ( vmul @ vd436 @ ( vplus @ vd437 @ vd439 ) ) @ X0 )
= ( vplus @ ( vmul @ vd436 @ vd437 ) @ ( vplus @ ( vmul @ vd436 @ vd439 ) @ X0 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl4,zip_derived_cl16]) ).
thf(zip_derived_cl89,plain,
! [X0: $i] :
( ( vplus @ ( vmul @ vd436 @ ( vplus @ vd437 @ vd439 ) ) @ X0 )
= ( vplus @ ( vmul @ vd436 @ vd437 ) @ ( vplus @ X0 @ ( vmul @ vd436 @ vd439 ) ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl13,zip_derived_cl68]) ).
thf(zip_derived_cl13_004,plain,
! [X0: $i,X1: $i] :
( ( vplus @ X1 @ X0 )
= ( vplus @ X0 @ X1 ) ),
inference(cnf,[status(esa)],[ass(cond(61,0),0)]) ).
thf(zip_derived_cl122,plain,
( ( vplus @ vd436 @ ( vmul @ vd436 @ ( vplus @ vd437 @ vd439 ) ) )
!= ( vplus @ vd436 @ ( vmul @ vd436 @ ( vplus @ vd437 @ vd439 ) ) ) ),
inference(demod,[status(thm)],[zip_derived_cl25,zip_derived_cl89,zip_derived_cl13]) ).
thf(zip_derived_cl123,plain,
$false,
inference(simplify,[status(thm)],[zip_derived_cl122]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.12/0.12 % Problem : NUM847+2 : TPTP v9.2.0. Released v4.1.0.
% 0.12/0.13 % Command : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.fVtA2Aan8u true
% 0.14/0.35 % Computer : n031.cluster.edu
% 0.14/0.35 % Model : x86_64 x86_64
% 0.14/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.35 % Memory : 8042.1875MB
% 0.14/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.35 % CPULimit : 300
% 0.14/0.35 % WCLimit : 300
% 0.14/0.35 % DateTime : Wed Oct 1 16:24:08 EDT 2025
% 0.14/0.35 % CPUTime :
% 0.14/0.35 % Running portfolio for 300 s
% 0.14/0.35 % File : /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.14/0.35 % Number of cores: 8
% 0.14/0.35 % Python version: Python 3.6.8
% 0.14/0.35 % Running in FO mode
% 0.58/0.64 % Total configuration time : 435
% 0.58/0.64 % Estimated wc time : 1092
% 0.58/0.64 % Estimated cpu time (7 cpus) : 156.0
% 0.58/0.71 % /export/starexec/sandbox2/solver/bin/fo/fo6_bce.sh running for 75s
% 0.59/0.73 % /export/starexec/sandbox2/solver/bin/fo/fo3_bce.sh running for 75s
% 0.59/0.74 % /export/starexec/sandbox2/solver/bin/fo/fo1_av.sh running for 75s
% 0.59/0.76 % /export/starexec/sandbox2/solver/bin/fo/fo7.sh running for 63s
% 0.59/0.77 % /export/starexec/sandbox2/solver/bin/fo/fo13.sh running for 50s
% 0.59/0.77 % /export/starexec/sandbox2/solver/bin/fo/fo5.sh running for 50s
% 0.59/0.77 % /export/starexec/sandbox2/solver/bin/fo/fo4.sh running for 50s
% 0.59/0.77 % Solved by fo/fo6_bce.sh.
% 0.59/0.77 % BCE start: 21
% 0.59/0.77 % BCE eliminated: 2
% 0.59/0.77 % PE start: 19
% 0.59/0.77 logic: eq
% 0.59/0.77 % PE eliminated: 0
% 0.59/0.77 % done 42 iterations in 0.038s
% 0.59/0.77 % SZS status Theorem for '/export/starexec/sandbox2/benchmark/theBenchmark.p'
% 0.59/0.77 % SZS output start Refutation
% See solution above
% 0.59/0.77
% 0.59/0.77
% 0.59/0.77 % Terminating...
% 1.58/0.86 % Runner terminated.
% 1.61/0.87 % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------