%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : NUM851+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.hrmuhtJ7ik true
% Computer : n007.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 04:48:31 PM UTC 2025
% Result : Theorem 0.55s 0.82s
% Output : Refutation 0.55s
% Verified :
% SZS Type : Refutation
% Derivation depth : 5
% Number of leaves : 11
% Syntax : Number of formulae : 16 ( 16 unt; 0 typ; 0 def)
% Number of atoms : 16 ( 15 equ; 0 cnn)
% Maximal formula atoms : 1 ( 1 avg)
% Number of connectives : 97 ( 5 ~; 0 |; 0 &; 92 @)
% ( 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 : 8 ( 6 usr; 5 con; 0-2 aty)
% Number of variables : 14 ( 0 ^; 14 !; 0 ?; 14 :)
% Comments :
%------------------------------------------------------------------------------
thf(vd469_type,type,
vd469: $i ).
thf(vd473_type,type,
vd473: $i ).
thf(vd470_type,type,
vd470: $i ).
thf(vd471_type,type,
vd471: $i ).
thf(vplus_type,type,
vplus: $i > $i > $i ).
thf(vmul_type,type,
vmul: $i > $i > $i ).
thf('holds(conseq_conjunct2(conseq(302)), 475, 1)',conjecture,
( ( vmul @ ( vplus @ vd471 @ vd473 ) @ vd469 )
= ( vplus @ ( vmul @ vd471 @ vd469 ) @ ( vmul @ vd473 @ vd469 ) ) ) ).
thf(zf_stmt_0,negated_conjecture,
( ( vmul @ ( vplus @ vd471 @ vd473 ) @ vd469 )
!= ( vplus @ ( vmul @ vd471 @ vd469 ) @ ( vmul @ vd473 @ vd469 ) ) ),
inference('cnf.neg',[status(esa)],[holds(conseq_conjunct2(conseq(302)),475,1)]) ).
thf(zip_derived_cl0,plain,
( ( vmul @ ( vplus @ vd471 @ vd473 ) @ vd469 )
!= ( vplus @ ( vmul @ vd471 @ vd469 ) @ ( vmul @ vd473 @ vd469 ) ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf('holds(conseq_conjunct1(conseq(302)), 474, 0)',axiom,
( vd470
= ( vplus @ vd471 @ vd473 ) ) ).
thf(zip_derived_cl2,plain,
( vd470
= ( vplus @ vd471 @ vd473 ) ),
inference(cnf,[status(esa)],[holds(conseq_conjunct1(conseq(302)),474,0)]) ).
thf(zip_derived_cl41,plain,
( ( vmul @ vd470 @ vd469 )
!= ( vplus @ ( vmul @ vd471 @ vd469 ) @ ( vmul @ vd473 @ vd469 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl0,zip_derived_cl2]) ).
thf('ass(cond(270, 0), 0)',axiom,
! [Vd418: $i,Vd419: $i] :
( ( vmul @ Vd418 @ Vd419 )
= ( vmul @ Vd419 @ Vd418 ) ) ).
thf(zip_derived_cl6,plain,
! [X0: $i,X1: $i] :
( ( vmul @ X1 @ X0 )
= ( vmul @ X0 @ X1 ) ),
inference(cnf,[status(esa)],[ass(cond(270,0),0)]) ).
thf(zip_derived_cl6_001,plain,
! [X0: $i,X1: $i] :
( ( vmul @ X1 @ X0 )
= ( vmul @ X0 @ X1 ) ),
inference(cnf,[status(esa)],[ass(cond(270,0),0)]) ).
thf(zip_derived_cl6_002,plain,
! [X0: $i,X1: $i] :
( ( vmul @ X1 @ X0 )
= ( vmul @ X0 @ X1 ) ),
inference(cnf,[status(esa)],[ass(cond(270,0),0)]) ).
thf(zip_derived_cl222,plain,
( ( vmul @ vd469 @ vd470 )
!= ( vplus @ ( vmul @ vd469 @ vd471 ) @ ( vmul @ vd469 @ vd473 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl41,zip_derived_cl6,zip_derived_cl6,zip_derived_cl6]) ).
thf('ass(cond(281, 0), 0)',axiom,
! [Vd432: $i,Vd433: $i,Vd434: $i] :
( ( vmul @ Vd432 @ ( vplus @ Vd433 @ Vd434 ) )
= ( vplus @ ( vmul @ Vd432 @ Vd433 ) @ ( vmul @ Vd432 @ Vd434 ) ) ) ).
thf(zip_derived_cl5,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( vmul @ X0 @ ( vplus @ X1 @ X2 ) )
= ( vplus @ ( vmul @ X0 @ X1 ) @ ( vmul @ X0 @ X2 ) ) ),
inference(cnf,[status(esa)],[ass(cond(281,0),0)]) ).
thf(zip_derived_cl2_003,plain,
( vd470
= ( vplus @ vd471 @ vd473 ) ),
inference(cnf,[status(esa)],[holds(conseq_conjunct1(conseq(302)),474,0)]) ).
thf(zip_derived_cl344,plain,
( ( vmul @ vd469 @ vd470 )
!= ( vmul @ vd469 @ vd470 ) ),
inference(demod,[status(thm)],[zip_derived_cl222,zip_derived_cl5,zip_derived_cl2]) ).
thf(zip_derived_cl345,plain,
$false,
inference(simplify,[status(thm)],[zip_derived_cl344]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : NUM851+2 : TPTP v9.2.0. Released v4.1.0.
% 0.13/0.13 % Command : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.hrmuhtJ7ik true
% 0.13/0.35 % Computer : n007.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 16:52:53 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
% 0.13/0.36 % Python version: Python 3.6.8
% 0.13/0.36 % Running in FO mode
% 0.52/0.64 % Total configuration time : 435
% 0.52/0.64 % Estimated wc time : 1092
% 0.52/0.64 % Estimated cpu time (7 cpus) : 156.0
% 0.53/0.71 % /export/starexec/sandbox/solver/bin/fo/fo6_bce.sh running for 75s
% 0.54/0.72 % /export/starexec/sandbox/solver/bin/fo/fo3_bce.sh running for 75s
% 0.54/0.75 % /export/starexec/sandbox/solver/bin/fo/fo1_av.sh running for 75s
% 0.54/0.75 % /export/starexec/sandbox/solver/bin/fo/fo7.sh running for 63s
% 0.54/0.76 % /export/starexec/sandbox/solver/bin/fo/fo13.sh running for 50s
% 0.54/0.76 % /export/starexec/sandbox/solver/bin/fo/fo5.sh running for 50s
% 0.55/0.76 % /export/starexec/sandbox/solver/bin/fo/fo4.sh running for 50s
% 0.55/0.82 % Solved by fo/fo4.sh.
% 0.55/0.82 % done 61 iterations in 0.046s
% 0.55/0.82 % SZS status Theorem for '/export/starexec/sandbox/benchmark/theBenchmark.p'
% 0.55/0.82 % SZS output start Refutation
% See solution above
% 0.55/0.82
% 0.55/0.82
% 0.55/0.82 % Terminating...
% 0.57/0.88 % Runner terminated.
% 1.52/0.89 % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------