%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : NUM427+1 : 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.O4gQti7825 true
% Computer : n013.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 04:46:56 PM UTC 2025
% Result : Theorem 0.59s 0.93s
% Output : Refutation 0.59s
% Verified :
% SZS Type : Refutation
% Derivation depth : 12
% Number of leaves : 8
% Syntax : Number of formulae : 34 ( 15 unt; 0 typ; 0 def)
% Number of atoms : 93 ( 22 equ; 0 cnn)
% Maximal formula atoms : 9 ( 2 avg)
% Number of connectives : 291 ( 50 ~; 42 |; 11 &; 182 @)
% ( 2 <=>; 4 =>; 0 <=; 0 <~>)
% Maximal formula depth : 13 ( 5 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 0 ( 0 >; 0 *; 0 +; 0 <<)
% Number of symbols : 13 ( 11 usr; 6 con; 0-3 aty)
% Number of variables : 22 ( 0 ^; 21 !; 1 ?; 22 :)
% Comments :
%------------------------------------------------------------------------------
thf(smndt0_type,type,
smndt0: $i > $i ).
thf(xn_type,type,
xn: $i ).
thf(sdtasdt0_type,type,
sdtasdt0: $i > $i > $i ).
thf(aInteger0_type,type,
aInteger0: $i > $o ).
thf(xq_type,type,
xq: $i ).
thf(xb_type,type,
xb: $i ).
thf(sz00_type,type,
sz00: $i ).
thf(sdtpldt0_type,type,
sdtpldt0: $i > $i > $i ).
thf(aDivisorOf0_type,type,
aDivisorOf0: $i > $i > $o ).
thf(xa_type,type,
xa: $i ).
thf(sdteqdtlpzmzozddtrp0_type,type,
sdteqdtlpzmzozddtrp0: $i > $i > $i > $o ).
thf(mIntNeg,axiom,
! [W0: $i] :
( ( aInteger0 @ W0 )
=> ( aInteger0 @ ( smndt0 @ W0 ) ) ) ).
thf(zip_derived_cl3,plain,
! [X0: $i] :
( ( aInteger0 @ ( smndt0 @ X0 ) )
| ~ ( aInteger0 @ X0 ) ),
inference(cnf,[status(esa)],[mIntNeg]) ).
thf(m__767,axiom,
( ( sdtasdt0 @ xq @ ( smndt0 @ xn ) )
= ( sdtpldt0 @ xb @ ( smndt0 @ xa ) ) ) ).
thf(zip_derived_cl38,plain,
( ( sdtasdt0 @ xq @ ( smndt0 @ xn ) )
= ( sdtpldt0 @ xb @ ( smndt0 @ xa ) ) ),
inference(cnf,[status(esa)],[m__767]) ).
thf(mDivisor,axiom,
! [W0: $i] :
( ( aInteger0 @ W0 )
=> ! [W1: $i] :
( ( aDivisorOf0 @ W1 @ W0 )
<=> ( ( aInteger0 @ W1 )
& ( W1 != sz00 )
& ? [W2: $i] :
( ( ( sdtasdt0 @ W1 @ W2 )
= W0 )
& ( aInteger0 @ W2 ) ) ) ) ) ).
thf(zip_derived_cl23,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ ( aInteger0 @ X0 )
| ( X0 = sz00 )
| ( ( sdtasdt0 @ X0 @ X2 )
!= X1 )
| ~ ( aInteger0 @ X2 )
| ( aDivisorOf0 @ X0 @ X1 )
| ~ ( aInteger0 @ X1 ) ),
inference(cnf,[status(esa)],[mDivisor]) ).
thf(mEquMod,axiom,
! [W0: $i,W1: $i,W2: $i] :
( ( ( aInteger0 @ W0 )
& ( aInteger0 @ W1 )
& ( aInteger0 @ W2 )
& ( W2 != sz00 ) )
=> ( ( sdteqdtlpzmzozddtrp0 @ W0 @ W1 @ W2 )
<=> ( aDivisorOf0 @ W2 @ ( sdtpldt0 @ W0 @ ( smndt0 @ W1 ) ) ) ) ) ).
thf(zip_derived_cl29,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ ( aInteger0 @ X0 )
| ~ ( aInteger0 @ X1 )
| ~ ( aInteger0 @ X2 )
| ( X2 = sz00 )
| ( sdteqdtlpzmzozddtrp0 @ X1 @ X0 @ X2 )
| ~ ( aDivisorOf0 @ X2 @ ( sdtpldt0 @ X1 @ ( smndt0 @ X0 ) ) ) ),
inference(cnf,[status(esa)],[mEquMod]) ).
thf(m__,conjecture,
sdteqdtlpzmzozddtrp0 @ xb @ xa @ xq ).
thf(zf_stmt_0,negated_conjecture,
~ ( sdteqdtlpzmzozddtrp0 @ xb @ xa @ xq ),
inference('cnf.neg',[status(esa)],[m__]) ).
thf(zip_derived_cl39,plain,
~ ( sdteqdtlpzmzozddtrp0 @ xb @ xa @ xq ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl195,plain,
( ~ ( aDivisorOf0 @ xq @ ( sdtpldt0 @ xb @ ( smndt0 @ xa ) ) )
| ( xq = sz00 )
| ~ ( aInteger0 @ xq )
| ~ ( aInteger0 @ xb )
| ~ ( aInteger0 @ xa ) ),
inference('dp-resolution',[status(thm)],[zip_derived_cl29,zip_derived_cl39]) ).
thf(zip_derived_cl207,plain,
! [X0: $i] :
( ~ ( aInteger0 @ ( sdtpldt0 @ xb @ ( smndt0 @ xa ) ) )
| ~ ( aInteger0 @ X0 )
| ( ( sdtasdt0 @ xq @ X0 )
!= ( sdtpldt0 @ xb @ ( smndt0 @ xa ) ) )
| ( xq = sz00 )
| ~ ( aInteger0 @ xq )
| ~ ( aInteger0 @ xa )
| ~ ( aInteger0 @ xb )
| ~ ( aInteger0 @ xq )
| ( xq = sz00 ) ),
inference('dp-resolution',[status(thm)],[zip_derived_cl23,zip_derived_cl195]) ).
thf(zip_derived_cl908,plain,
! [X0: $i] :
( ~ ( aInteger0 @ xb )
| ~ ( aInteger0 @ xa )
| ~ ( aInteger0 @ xq )
| ( xq = sz00 )
| ( ( sdtasdt0 @ xq @ X0 )
!= ( sdtpldt0 @ xb @ ( smndt0 @ xa ) ) )
| ~ ( aInteger0 @ X0 )
| ~ ( aInteger0 @ ( sdtpldt0 @ xb @ ( smndt0 @ xa ) ) ) ),
inference(simplify,[status(thm)],[zip_derived_cl207]) ).
thf(m__704,axiom,
( ( xq != sz00 )
& ( aInteger0 @ xq )
& ( aInteger0 @ xb )
& ( aInteger0 @ xa ) ) ).
thf(zip_derived_cl33,plain,
aInteger0 @ xb,
inference(cnf,[status(esa)],[m__704]) ).
thf(zip_derived_cl34,plain,
aInteger0 @ xa,
inference(cnf,[status(esa)],[m__704]) ).
thf(zip_derived_cl32,plain,
aInteger0 @ xq,
inference(cnf,[status(esa)],[m__704]) ).
thf(zip_derived_cl909,plain,
! [X0: $i] :
( ( xq = sz00 )
| ( ( sdtasdt0 @ xq @ X0 )
!= ( sdtpldt0 @ xb @ ( smndt0 @ xa ) ) )
| ~ ( aInteger0 @ X0 )
| ~ ( aInteger0 @ ( sdtpldt0 @ xb @ ( smndt0 @ xa ) ) ) ),
inference(demod,[status(thm)],[zip_derived_cl908,zip_derived_cl33,zip_derived_cl34,zip_derived_cl32]) ).
thf(zip_derived_cl31,plain,
xq != sz00,
inference(cnf,[status(esa)],[m__704]) ).
thf(zip_derived_cl910,plain,
! [X0: $i] :
( ( ( sdtasdt0 @ xq @ X0 )
!= ( sdtpldt0 @ xb @ ( smndt0 @ xa ) ) )
| ~ ( aInteger0 @ X0 )
| ~ ( aInteger0 @ ( sdtpldt0 @ xb @ ( smndt0 @ xa ) ) ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl909,zip_derived_cl31]) ).
thf(zip_derived_cl917,plain,
( ( ( sdtpldt0 @ xb @ ( smndt0 @ xa ) )
!= ( sdtpldt0 @ xb @ ( smndt0 @ xa ) ) )
| ~ ( aInteger0 @ ( sdtpldt0 @ xb @ ( smndt0 @ xa ) ) )
| ~ ( aInteger0 @ ( smndt0 @ xn ) ) ),
inference('sup-',[status(thm)],[zip_derived_cl38,zip_derived_cl910]) ).
thf(zip_derived_cl930,plain,
( ~ ( aInteger0 @ ( smndt0 @ xn ) )
| ~ ( aInteger0 @ ( sdtpldt0 @ xb @ ( smndt0 @ xa ) ) ) ),
inference(simplify,[status(thm)],[zip_derived_cl917]) ).
thf(zip_derived_cl38_001,plain,
( ( sdtasdt0 @ xq @ ( smndt0 @ xn ) )
= ( sdtpldt0 @ xb @ ( smndt0 @ xa ) ) ),
inference(cnf,[status(esa)],[m__767]) ).
thf(mIntMult,axiom,
! [W0: $i,W1: $i] :
( ( ( aInteger0 @ W0 )
& ( aInteger0 @ W1 ) )
=> ( aInteger0 @ ( sdtasdt0 @ W0 @ W1 ) ) ) ).
thf(zip_derived_cl5,plain,
! [X0: $i,X1: $i] :
( ~ ( aInteger0 @ X0 )
| ~ ( aInteger0 @ X1 )
| ( aInteger0 @ ( sdtasdt0 @ X0 @ X1 ) ) ),
inference(cnf,[status(esa)],[mIntMult]) ).
thf(zip_derived_cl261,plain,
( ( aInteger0 @ ( sdtpldt0 @ xb @ ( smndt0 @ xa ) ) )
| ~ ( aInteger0 @ ( smndt0 @ xn ) )
| ~ ( aInteger0 @ xq ) ),
inference('sup+',[status(thm)],[zip_derived_cl38,zip_derived_cl5]) ).
thf(zip_derived_cl32_002,plain,
aInteger0 @ xq,
inference(cnf,[status(esa)],[m__704]) ).
thf(zip_derived_cl263,plain,
( ( aInteger0 @ ( sdtpldt0 @ xb @ ( smndt0 @ xa ) ) )
| ~ ( aInteger0 @ ( smndt0 @ xn ) ) ),
inference(demod,[status(thm)],[zip_derived_cl261,zip_derived_cl32]) ).
thf(zip_derived_cl1019,plain,
~ ( aInteger0 @ ( smndt0 @ xn ) ),
inference(clc,[status(thm)],[zip_derived_cl930,zip_derived_cl263]) ).
thf(zip_derived_cl1021,plain,
~ ( aInteger0 @ xn ),
inference('sup-',[status(thm)],[zip_derived_cl3,zip_derived_cl1019]) ).
thf(m__747,axiom,
( ( ( sdtasdt0 @ xq @ xn )
= ( sdtpldt0 @ xa @ ( smndt0 @ xb ) ) )
& ( aInteger0 @ xn ) ) ).
thf(zip_derived_cl37,plain,
aInteger0 @ xn,
inference(cnf,[status(esa)],[m__747]) ).
thf(zip_derived_cl1022,plain,
$false,
inference(demod,[status(thm)],[zip_derived_cl1021,zip_derived_cl37]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.04/0.12 % Problem : NUM427+1 : TPTP v9.2.0. Released v4.0.0.
% 0.04/0.13 % Command : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.O4gQti7825 true
% 0.14/0.35 % Computer : n013.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 16:17:08 EDT 2025
% 0.14/0.35 % CPUTime :
% 0.14/0.35 % Running portfolio for 300 s
% 0.14/0.35 % File : /export/starexec/sandbox/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
% 0.55/0.66 % Total configuration time : 435
% 0.55/0.66 % Estimated wc time : 1092
% 0.55/0.66 % Estimated cpu time (7 cpus) : 156.0
% 0.56/0.70 % /export/starexec/sandbox/solver/bin/fo/fo6_bce.sh running for 75s
% 0.57/0.75 % /export/starexec/sandbox/solver/bin/fo/fo3_bce.sh running for 75s
% 0.57/0.76 % /export/starexec/sandbox/solver/bin/fo/fo1_av.sh running for 75s
% 0.57/0.76 % /export/starexec/sandbox/solver/bin/fo/fo7.sh running for 63s
% 0.57/0.76 % /export/starexec/sandbox/solver/bin/fo/fo13.sh running for 50s
% 0.58/0.76 % /export/starexec/sandbox/solver/bin/fo/fo5.sh running for 50s
% 0.58/0.77 % /export/starexec/sandbox/solver/bin/fo/fo4.sh running for 50s
% 0.59/0.93 % Solved by fo/fo3_bce.sh.
% 0.59/0.93 % BCE start: 40
% 0.59/0.93 % BCE eliminated: 1
% 0.59/0.93 % PE start: 39
% 0.59/0.93 logic: eq
% 0.59/0.93 % PE eliminated: -2
% 0.59/0.93 % done 183 iterations in 0.154s
% 0.59/0.93 % SZS status Theorem for '/export/starexec/sandbox/benchmark/theBenchmark.p'
% 0.59/0.93 % SZS output start Refutation
% See solution above
% 0.59/0.94
% 0.59/0.94
% 0.59/0.94 % Terminating...
% 0.87/1.06 % Runner terminated.
% 1.93/1.08 % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------