%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : ITP006_4 : TPTP v9.2.0. Bugfixed v7.5.0.
% Transfm : none
% Format : tptp:raw
% Command : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.bLaRPWckD9 true
% Computer : n011.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 04:38:12 PM UTC 2025
% Result : Theorem 12.40s 2.39s
% Output : Refutation 12.40s
% Verified :
% SZS Type : Refutation
% Derivation depth : 8
% Number of leaves : 3
% Syntax : Number of formulae : 18 ( 5 unt; 0 typ; 0 def)
% Number of atoms : 38 ( 3 equ; 0 cnn)
% Maximal formula atoms : 4 ( 2 avg)
% Number of connectives : 424 ( 16 ~; 11 |; 0 &; 388 @)
% ( 2 <=>; 7 =>; 0 <=; 0 <~>)
% Maximal formula depth : 19 ( 12 avg)
% Number of types : 5 ( 4 usr)
% Number of type conns : 0 ( 0 >; 0 *; 0 +; 0 <<)
% Number of symbols : 15 ( 13 usr; 7 con; 0-4 aty)
% Number of variables : 40 ( 0 ^; 40 !; 0 ?; 40 :)
% Comments :
%------------------------------------------------------------------------------
thf(mono_2Etyop_2Emin_2Ebool_type,type,
mono_2Etyop_2Emin_2Ebool: $tType ).
thf(du_type,type,
du: $tType ).
thf(d_type,type,
d: $tType ).
thf(u_type,type,
u: $tType ).
thf(tyop_2Emin_2Efun_type,type,
tyop_2Emin_2Efun: d > d > d ).
thf(sk__1_type,type,
sk__1: u > u > d > d > u ).
thf(sk__122_type,type,
sk__122: u ).
thf(s_type,type,
s: d > u > du ).
thf(sk__124_type,type,
sk__124: u ).
thf(sk__123_type,type,
sk__123: u ).
thf(p_type,type,
p: mono_2Etyop_2Emin_2Ebool > $o ).
thf(sk__121_type,type,
sk__121: d ).
thf(tyop_2Emin_2Ebool_type,type,
tyop_2Emin_2Ebool: d ).
thf(c_2EquantHeuristics_2EGUESS__FORALL__POINT_2E2_type,type,
c_2EquantHeuristics_2EGUESS__FORALL__POINT_2E2: du > du > u ).
thf(sk__120_type,type,
sk__120: d ).
thf(app_2E2_type,type,
app_2E2: du > du > u ).
thf(j_mono_2Etyop_2Emin_2Ebool_type,type,
j_mono_2Etyop_2Emin_2Ebool: du > mono_2Etyop_2Emin_2Ebool ).
thf(thm_2EquantHeuristics_2EGUESS__RULES__WEAKEN__FORALL__POINT,conjecture,
! [A_27a: d,A_27b: d,V0i_2E0: u,V1P_2E0: u,V2Q_2E0: u] :
( ! [V3x_2E0: u] :
( ( p @ ( j_mono_2Etyop_2Emin_2Ebool @ ( s @ tyop_2Emin_2Ebool @ ( app_2E2 @ ( s @ ( tyop_2Emin_2Efun @ A_27a @ tyop_2Emin_2Ebool ) @ V2Q_2E0 ) @ ( s @ A_27a @ V3x_2E0 ) ) ) ) )
=> ( p @ ( j_mono_2Etyop_2Emin_2Ebool @ ( s @ tyop_2Emin_2Ebool @ ( app_2E2 @ ( s @ ( tyop_2Emin_2Efun @ A_27a @ tyop_2Emin_2Ebool ) @ V1P_2E0 ) @ ( s @ A_27a @ V3x_2E0 ) ) ) ) ) )
=> ( ( p @ ( j_mono_2Etyop_2Emin_2Ebool @ ( s @ tyop_2Emin_2Ebool @ ( c_2EquantHeuristics_2EGUESS__FORALL__POINT_2E2 @ ( s @ ( tyop_2Emin_2Efun @ A_27b @ A_27a ) @ V0i_2E0 ) @ ( s @ ( tyop_2Emin_2Efun @ A_27a @ tyop_2Emin_2Ebool ) @ V1P_2E0 ) ) ) ) )
=> ( p @ ( j_mono_2Etyop_2Emin_2Ebool @ ( s @ tyop_2Emin_2Ebool @ ( c_2EquantHeuristics_2EGUESS__FORALL__POINT_2E2 @ ( s @ ( tyop_2Emin_2Efun @ A_27b @ A_27a ) @ V0i_2E0 ) @ ( s @ ( tyop_2Emin_2Efun @ A_27a @ tyop_2Emin_2Ebool ) @ V2Q_2E0 ) ) ) ) ) ) ) ).
thf(zf_stmt_0,negated_conjecture,
~ ! [A_27a: d,A_27b: d,V0i_2E0: u,V1P_2E0: u,V2Q_2E0: u] :
( ! [V3x_2E0: u] :
( ( p @ ( j_mono_2Etyop_2Emin_2Ebool @ ( s @ tyop_2Emin_2Ebool @ ( app_2E2 @ ( s @ ( tyop_2Emin_2Efun @ A_27a @ tyop_2Emin_2Ebool ) @ V2Q_2E0 ) @ ( s @ A_27a @ V3x_2E0 ) ) ) ) )
=> ( p @ ( j_mono_2Etyop_2Emin_2Ebool @ ( s @ tyop_2Emin_2Ebool @ ( app_2E2 @ ( s @ ( tyop_2Emin_2Efun @ A_27a @ tyop_2Emin_2Ebool ) @ V1P_2E0 ) @ ( s @ A_27a @ V3x_2E0 ) ) ) ) ) )
=> ( ( p @ ( j_mono_2Etyop_2Emin_2Ebool @ ( s @ tyop_2Emin_2Ebool @ ( c_2EquantHeuristics_2EGUESS__FORALL__POINT_2E2 @ ( s @ ( tyop_2Emin_2Efun @ A_27b @ A_27a ) @ V0i_2E0 ) @ ( s @ ( tyop_2Emin_2Efun @ A_27a @ tyop_2Emin_2Ebool ) @ V1P_2E0 ) ) ) ) )
=> ( p @ ( j_mono_2Etyop_2Emin_2Ebool @ ( s @ tyop_2Emin_2Ebool @ ( c_2EquantHeuristics_2EGUESS__FORALL__POINT_2E2 @ ( s @ ( tyop_2Emin_2Efun @ A_27b @ A_27a ) @ V0i_2E0 ) @ ( s @ ( tyop_2Emin_2Efun @ A_27a @ tyop_2Emin_2Ebool ) @ V2Q_2E0 ) ) ) ) ) ) ),
inference('cnf.neg',[status(esa)],[thm_2EquantHeuristics_2EGUESS__RULES__WEAKEN__FORALL__POINT]) ).
thf(zip_derived_cl92,plain,
p @ ( j_mono_2Etyop_2Emin_2Ebool @ ( s @ tyop_2Emin_2Ebool @ ( c_2EquantHeuristics_2EGUESS__FORALL__POINT_2E2 @ ( s @ ( tyop_2Emin_2Efun @ sk__121 @ sk__120 ) @ sk__122 ) @ ( s @ ( tyop_2Emin_2Efun @ sk__120 @ tyop_2Emin_2Ebool ) @ sk__123 ) ) ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl92_001,plain,
p @ ( j_mono_2Etyop_2Emin_2Ebool @ ( s @ tyop_2Emin_2Ebool @ ( c_2EquantHeuristics_2EGUESS__FORALL__POINT_2E2 @ ( s @ ( tyop_2Emin_2Efun @ sk__121 @ sk__120 ) @ sk__122 ) @ ( s @ ( tyop_2Emin_2Efun @ sk__120 @ tyop_2Emin_2Ebool ) @ sk__123 ) ) ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(reserved_2Eho_2Eboolext,axiom,
! [V0_2E0: mono_2Etyop_2Emin_2Ebool,V1_2E0: mono_2Etyop_2Emin_2Ebool] :
( ( ( p @ V0_2E0 )
<=> ( p @ V1_2E0 ) )
=> ( V0_2E0 = V1_2E0 ) ) ).
thf(zip_derived_cl1,plain,
! [X0: mono_2Etyop_2Emin_2Ebool,X1: mono_2Etyop_2Emin_2Ebool] :
( ( X1 = X0 )
| ~ ( p @ X0 )
| ~ ( p @ X1 ) ),
inference(cnf,[status(esa)],[reserved_2Eho_2Eboolext]) ).
thf(zip_derived_cl128,plain,
! [X0: mono_2Etyop_2Emin_2Ebool] :
( ~ ( p @ X0 )
| ( X0
= ( j_mono_2Etyop_2Emin_2Ebool @ ( s @ tyop_2Emin_2Ebool @ ( c_2EquantHeuristics_2EGUESS__FORALL__POINT_2E2 @ ( s @ ( tyop_2Emin_2Efun @ sk__121 @ sk__120 ) @ sk__122 ) @ ( s @ ( tyop_2Emin_2Efun @ sk__120 @ tyop_2Emin_2Ebool ) @ sk__123 ) ) ) ) ) ),
inference('sup-',[status(thm)],[zip_derived_cl92,zip_derived_cl1]) ).
thf(thm_2EquantHeuristics_2EGUESS__FORALL__POINT__def,axiom,
! [A_27a: d,A_27b: d,V0i_2E0: u,V1P_2E0: u] :
( ( p @ ( j_mono_2Etyop_2Emin_2Ebool @ ( s @ tyop_2Emin_2Ebool @ ( c_2EquantHeuristics_2EGUESS__FORALL__POINT_2E2 @ ( s @ ( tyop_2Emin_2Efun @ A_27a @ A_27b ) @ V0i_2E0 ) @ ( s @ ( tyop_2Emin_2Efun @ A_27b @ tyop_2Emin_2Ebool ) @ V1P_2E0 ) ) ) ) )
<=> ! [V2fv_2E0: u] :
~ ( p @ ( j_mono_2Etyop_2Emin_2Ebool @ ( s @ tyop_2Emin_2Ebool @ ( app_2E2 @ ( s @ ( tyop_2Emin_2Efun @ A_27b @ tyop_2Emin_2Ebool ) @ V1P_2E0 ) @ ( s @ A_27b @ ( app_2E2 @ ( s @ ( tyop_2Emin_2Efun @ A_27a @ A_27b ) @ V0i_2E0 ) @ ( s @ A_27a @ V2fv_2E0 ) ) ) ) ) ) ) ) ).
thf(zip_derived_cl4,plain,
! [X0: d,X1: d,X2: u,X3: u] :
( ( p @ ( j_mono_2Etyop_2Emin_2Ebool @ ( s @ tyop_2Emin_2Ebool @ ( c_2EquantHeuristics_2EGUESS__FORALL__POINT_2E2 @ ( s @ ( tyop_2Emin_2Efun @ X0 @ X1 ) @ X2 ) @ ( s @ ( tyop_2Emin_2Efun @ X1 @ tyop_2Emin_2Ebool ) @ X3 ) ) ) ) )
| ( p @ ( j_mono_2Etyop_2Emin_2Ebool @ ( s @ tyop_2Emin_2Ebool @ ( app_2E2 @ ( s @ ( tyop_2Emin_2Efun @ X1 @ tyop_2Emin_2Ebool ) @ X3 ) @ ( s @ X1 @ ( app_2E2 @ ( s @ ( tyop_2Emin_2Efun @ X0 @ X1 ) @ X2 ) @ ( s @ X0 @ ( sk__1 @ X3 @ X2 @ X1 @ X0 ) ) ) ) ) ) ) ) ),
inference(cnf,[status(esa)],[thm_2EquantHeuristics_2EGUESS__FORALL__POINT__def]) ).
thf(zip_derived_cl91,plain,
! [X0: u] :
( ( p @ ( j_mono_2Etyop_2Emin_2Ebool @ ( s @ tyop_2Emin_2Ebool @ ( app_2E2 @ ( s @ ( tyop_2Emin_2Efun @ sk__120 @ tyop_2Emin_2Ebool ) @ sk__123 ) @ ( s @ sk__120 @ X0 ) ) ) ) )
| ~ ( p @ ( j_mono_2Etyop_2Emin_2Ebool @ ( s @ tyop_2Emin_2Ebool @ ( app_2E2 @ ( s @ ( tyop_2Emin_2Efun @ sk__120 @ tyop_2Emin_2Ebool ) @ sk__124 ) @ ( s @ sk__120 @ X0 ) ) ) ) ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl3,plain,
! [X0: d,X1: u,X2: d,X3: u,X4: u] :
( ~ ( p @ ( j_mono_2Etyop_2Emin_2Ebool @ ( s @ tyop_2Emin_2Ebool @ ( app_2E2 @ ( s @ ( tyop_2Emin_2Efun @ X0 @ tyop_2Emin_2Ebool ) @ X1 ) @ ( s @ X0 @ ( app_2E2 @ ( s @ ( tyop_2Emin_2Efun @ X2 @ X0 ) @ X3 ) @ ( s @ X2 @ X4 ) ) ) ) ) ) )
| ~ ( p @ ( j_mono_2Etyop_2Emin_2Ebool @ ( s @ tyop_2Emin_2Ebool @ ( c_2EquantHeuristics_2EGUESS__FORALL__POINT_2E2 @ ( s @ ( tyop_2Emin_2Efun @ X2 @ X0 ) @ X3 ) @ ( s @ ( tyop_2Emin_2Efun @ X0 @ tyop_2Emin_2Ebool ) @ X1 ) ) ) ) ) ),
inference(cnf,[status(esa)],[thm_2EquantHeuristics_2EGUESS__FORALL__POINT__def]) ).
thf(zip_derived_cl1224,plain,
! [X0: u,X1: d,X2: u] :
( ~ ( p @ ( j_mono_2Etyop_2Emin_2Ebool @ ( s @ tyop_2Emin_2Ebool @ ( app_2E2 @ ( s @ ( tyop_2Emin_2Efun @ sk__120 @ tyop_2Emin_2Ebool ) @ sk__124 ) @ ( s @ sk__120 @ ( app_2E2 @ ( s @ ( tyop_2Emin_2Efun @ X1 @ sk__120 ) @ X2 ) @ ( s @ X1 @ X0 ) ) ) ) ) ) )
| ~ ( p @ ( j_mono_2Etyop_2Emin_2Ebool @ ( s @ tyop_2Emin_2Ebool @ ( c_2EquantHeuristics_2EGUESS__FORALL__POINT_2E2 @ ( s @ ( tyop_2Emin_2Efun @ X1 @ sk__120 ) @ X2 ) @ ( s @ ( tyop_2Emin_2Efun @ sk__120 @ tyop_2Emin_2Ebool ) @ sk__123 ) ) ) ) ) ),
inference('sup-',[status(thm)],[zip_derived_cl91,zip_derived_cl3]) ).
thf(zip_derived_cl1273,plain,
! [X0: d,X1: u] :
( ( p @ ( j_mono_2Etyop_2Emin_2Ebool @ ( s @ tyop_2Emin_2Ebool @ ( c_2EquantHeuristics_2EGUESS__FORALL__POINT_2E2 @ ( s @ ( tyop_2Emin_2Efun @ X0 @ sk__120 ) @ X1 ) @ ( s @ ( tyop_2Emin_2Efun @ sk__120 @ tyop_2Emin_2Ebool ) @ sk__124 ) ) ) ) )
| ~ ( p @ ( j_mono_2Etyop_2Emin_2Ebool @ ( s @ tyop_2Emin_2Ebool @ ( c_2EquantHeuristics_2EGUESS__FORALL__POINT_2E2 @ ( s @ ( tyop_2Emin_2Efun @ X0 @ sk__120 ) @ X1 ) @ ( s @ ( tyop_2Emin_2Efun @ sk__120 @ tyop_2Emin_2Ebool ) @ sk__123 ) ) ) ) ) ),
inference('sup-',[status(thm)],[zip_derived_cl4,zip_derived_cl1224]) ).
thf(zip_derived_cl1379,plain,
! [X0: mono_2Etyop_2Emin_2Ebool] :
( ~ ( p @ X0 )
| ~ ( p @ X0 )
| ( p @ ( j_mono_2Etyop_2Emin_2Ebool @ ( s @ tyop_2Emin_2Ebool @ ( c_2EquantHeuristics_2EGUESS__FORALL__POINT_2E2 @ ( s @ ( tyop_2Emin_2Efun @ sk__121 @ sk__120 ) @ sk__122 ) @ ( s @ ( tyop_2Emin_2Efun @ sk__120 @ tyop_2Emin_2Ebool ) @ sk__124 ) ) ) ) ) ),
inference('sup-',[status(thm)],[zip_derived_cl128,zip_derived_cl1273]) ).
thf(zip_derived_cl1382,plain,
! [X0: mono_2Etyop_2Emin_2Ebool] :
( ( p @ ( j_mono_2Etyop_2Emin_2Ebool @ ( s @ tyop_2Emin_2Ebool @ ( c_2EquantHeuristics_2EGUESS__FORALL__POINT_2E2 @ ( s @ ( tyop_2Emin_2Efun @ sk__121 @ sk__120 ) @ sk__122 ) @ ( s @ ( tyop_2Emin_2Efun @ sk__120 @ tyop_2Emin_2Ebool ) @ sk__124 ) ) ) ) )
| ~ ( p @ X0 ) ),
inference(simplify,[status(thm)],[zip_derived_cl1379]) ).
thf(zip_derived_cl90,plain,
~ ( p @ ( j_mono_2Etyop_2Emin_2Ebool @ ( s @ tyop_2Emin_2Ebool @ ( c_2EquantHeuristics_2EGUESS__FORALL__POINT_2E2 @ ( s @ ( tyop_2Emin_2Efun @ sk__121 @ sk__120 ) @ sk__122 ) @ ( s @ ( tyop_2Emin_2Efun @ sk__120 @ tyop_2Emin_2Ebool ) @ sk__124 ) ) ) ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl1383,plain,
! [X0: mono_2Etyop_2Emin_2Ebool] :
~ ( p @ X0 ),
inference(clc,[status(thm)],[zip_derived_cl1382,zip_derived_cl90]) ).
thf(zip_derived_cl1393,plain,
$false,
inference('sup-',[status(thm)],[zip_derived_cl92,zip_derived_cl1383]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.04/0.13 % Problem : ITP006_4 : TPTP v9.2.0. Bugfixed v7.5.0.
% 0.04/0.14 % Command : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.bLaRPWckD9 true
% 0.14/0.35 % Computer : n011.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 15:25:24 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
% 0.14/0.36 % Python version: Python 3.6.8
% 0.14/0.36 % Running in FO mode
% 0.59/0.68 % Total configuration time : 435
% 0.59/0.68 % Estimated wc time : 1092
% 0.59/0.68 % Estimated cpu time (7 cpus) : 156.0
% 0.61/0.76 % /export/starexec/sandbox2/solver/bin/fo/fo6_bce.sh running for 75s
% 0.61/0.77 % /export/starexec/sandbox2/solver/bin/fo/fo3_bce.sh running for 75s
% 0.61/0.78 % /export/starexec/sandbox2/solver/bin/fo/fo1_av.sh running for 75s
% 0.61/0.80 % /export/starexec/sandbox2/solver/bin/fo/fo7.sh running for 63s
% 0.61/0.80 % /export/starexec/sandbox2/solver/bin/fo/fo13.sh running for 50s
% 0.61/0.81 % /export/starexec/sandbox2/solver/bin/fo/fo4.sh running for 50s
% 0.61/0.81 % /export/starexec/sandbox2/solver/bin/fo/fo5.sh running for 50s
% 12.40/2.39 % Solved by fo/fo4.sh.
% 12.40/2.39 % done 101 iterations in 1.554s
% 12.40/2.39 % SZS status Theorem for '/export/starexec/sandbox2/benchmark/theBenchmark.p'
% 12.40/2.39 % SZS output start Refutation
% See solution above
% 12.40/2.39
% 12.40/2.39
% 12.40/2.39 % Terminating...
% 13.10/2.51 % Runner terminated.
% 13.10/2.52 % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------