%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : ITP006_1 : TPTP v9.2.0. Bugfixed v7.5.0.
% Transfm : none
% Format : tptp:raw
% Command : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.yD22KRhNtp true
% Computer : n014.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 04:38:11 PM UTC 2025
% Result : Theorem 5.46s 1.49s
% Output : Refutation 5.46s
% Verified :
% SZS Type : Refutation
% Derivation depth : 8
% Number of leaves : 3
% Syntax : Number of formulae : 22 ( 6 unt; 0 typ; 0 def)
% Number of atoms : 59 ( 5 equ; 0 cnn)
% Maximal formula atoms : 16 ( 2 avg)
% Number of connectives : 759 ( 22 ~; 14 |; 5 &; 700 @)
% ( 7 <=>; 11 =>; 0 <=; 0 <~>)
% Maximal formula depth : 26 ( 13 avg)
% Number of types : 5 ( 4 usr)
% Number of type conns : 0 ( 0 >; 0 *; 0 +; 0 <<)
% Number of symbols : 20 ( 18 usr; 7 con; 0-4 aty)
% Number of variables : 67 ( 0 ^; 63 !; 4 ?; 67 :)
% 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(c_2EquantHeuristics_2EGUESS__FORALL_2E2_type,type,
c_2EquantHeuristics_2EGUESS__FORALL_2E2: du > du > u ).
thf(sk__5_type,type,
sk__5: u > u > d > d > u ).
thf(s_type,type,
s: d > u > du ).
thf(sk__14_type,type,
sk__14: u ).
thf(sk__15_type,type,
sk__15: u ).
thf(tyop_2Emin_2Ebool_type,type,
tyop_2Emin_2Ebool: 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(tyop_2Emin_2Efun_type,type,
tyop_2Emin_2Efun: d > d > d ).
thf(c_2EquantHeuristics_2EGUESS__FORALL__POINT_2E2_type,type,
c_2EquantHeuristics_2EGUESS__FORALL__POINT_2E2: du > du > u ).
thf(c_2EquantHeuristics_2EGUESS__EXISTS__POINT_2E2_type,type,
c_2EquantHeuristics_2EGUESS__EXISTS__POINT_2E2: du > du > u ).
thf(c_2EquantHeuristics_2EGUESS__EXISTS__GAP_2E2_type,type,
c_2EquantHeuristics_2EGUESS__EXISTS__GAP_2E2: du > du > u ).
thf(p_type,type,
p: mono_2Etyop_2Emin_2Ebool > $o ).
thf(c_2EquantHeuristics_2EGUESS__EXISTS_2E2_type,type,
c_2EquantHeuristics_2EGUESS__EXISTS_2E2: du > du > u ).
thf(sk__11_type,type,
sk__11: d ).
thf(sk__13_type,type,
sk__13: u ).
thf(c_2EquantHeuristics_2EGUESS__FORALL__GAP_2E2_type,type,
c_2EquantHeuristics_2EGUESS__FORALL__GAP_2E2: du > du > u ).
thf(sk__12_type,type,
sk__12: d ).
thf(thm_2EquantHeuristics_2EGUESS__REWRITES,axiom,
! [A_27a: d,A_27b: d,V0i_2E0: u,V1P_2E0: u] :
( ! [V16i_2E0: u,V17P_2E0: u] :
( ( p @ ( j_mono_2Etyop_2Emin_2Ebool @ ( s @ tyop_2Emin_2Ebool @ ( c_2EquantHeuristics_2EGUESS__FORALL__GAP_2E2 @ ( s @ ( tyop_2Emin_2Efun @ A_27a @ A_27b ) @ V16i_2E0 ) @ ( s @ ( tyop_2Emin_2Efun @ A_27b @ tyop_2Emin_2Ebool ) @ V17P_2E0 ) ) ) ) )
<=> ! [V18v_2E0: u] :
( ~ ( p @ ( j_mono_2Etyop_2Emin_2Ebool @ ( s @ tyop_2Emin_2Ebool @ ( app_2E2 @ ( s @ ( tyop_2Emin_2Efun @ A_27b @ tyop_2Emin_2Ebool ) @ V17P_2E0 ) @ ( s @ A_27b @ V18v_2E0 ) ) ) ) )
=> ? [V19fv_2E0: u] :
( ( s @ A_27b @ V18v_2E0 )
= ( s @ A_27b @ ( app_2E2 @ ( s @ ( tyop_2Emin_2Efun @ A_27a @ A_27b ) @ V16i_2E0 ) @ ( s @ A_27a @ V19fv_2E0 ) ) ) ) ) )
& ! [V12i_2E0: u,V13P_2E0: u] :
( ( p @ ( j_mono_2Etyop_2Emin_2Ebool @ ( s @ tyop_2Emin_2Ebool @ ( c_2EquantHeuristics_2EGUESS__EXISTS__GAP_2E2 @ ( s @ ( tyop_2Emin_2Efun @ A_27a @ A_27b ) @ V12i_2E0 ) @ ( s @ ( tyop_2Emin_2Efun @ A_27b @ tyop_2Emin_2Ebool ) @ V13P_2E0 ) ) ) ) )
<=> ! [V14v_2E0: u] :
( ( p @ ( j_mono_2Etyop_2Emin_2Ebool @ ( s @ tyop_2Emin_2Ebool @ ( app_2E2 @ ( s @ ( tyop_2Emin_2Efun @ A_27b @ tyop_2Emin_2Ebool ) @ V13P_2E0 ) @ ( s @ A_27b @ V14v_2E0 ) ) ) ) )
=> ? [V15fv_2E0: u] :
( ( s @ A_27b @ V14v_2E0 )
= ( s @ A_27b @ ( app_2E2 @ ( s @ ( tyop_2Emin_2Efun @ A_27a @ A_27b ) @ V12i_2E0 ) @ ( s @ A_27a @ V15fv_2E0 ) ) ) ) ) )
& ! [V9i_2E0: u,V10P_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 ) @ V9i_2E0 ) @ ( s @ ( tyop_2Emin_2Efun @ A_27b @ tyop_2Emin_2Ebool ) @ V10P_2E0 ) ) ) ) )
<=> ! [V11fv_2E0: u] :
~ ( p @ ( j_mono_2Etyop_2Emin_2Ebool @ ( s @ tyop_2Emin_2Ebool @ ( app_2E2 @ ( s @ ( tyop_2Emin_2Efun @ A_27b @ tyop_2Emin_2Ebool ) @ V10P_2E0 ) @ ( s @ A_27b @ ( app_2E2 @ ( s @ ( tyop_2Emin_2Efun @ A_27a @ A_27b ) @ V9i_2E0 ) @ ( s @ A_27a @ V11fv_2E0 ) ) ) ) ) ) ) )
& ! [V6i_2E0: u,V7P_2E0: u] :
( ( p @ ( j_mono_2Etyop_2Emin_2Ebool @ ( s @ tyop_2Emin_2Ebool @ ( c_2EquantHeuristics_2EGUESS__EXISTS__POINT_2E2 @ ( s @ ( tyop_2Emin_2Efun @ A_27a @ A_27b ) @ V6i_2E0 ) @ ( s @ ( tyop_2Emin_2Efun @ A_27b @ tyop_2Emin_2Ebool ) @ V7P_2E0 ) ) ) ) )
<=> ! [V8fv_2E0: u] : ( p @ ( j_mono_2Etyop_2Emin_2Ebool @ ( s @ tyop_2Emin_2Ebool @ ( app_2E2 @ ( s @ ( tyop_2Emin_2Efun @ A_27b @ tyop_2Emin_2Ebool ) @ V7P_2E0 ) @ ( s @ A_27b @ ( app_2E2 @ ( s @ ( tyop_2Emin_2Efun @ A_27a @ A_27b ) @ V6i_2E0 ) @ ( s @ A_27a @ V8fv_2E0 ) ) ) ) ) ) ) )
& ( ( p @ ( j_mono_2Etyop_2Emin_2Ebool @ ( s @ tyop_2Emin_2Ebool @ ( c_2EquantHeuristics_2EGUESS__FORALL_2E2 @ ( s @ ( tyop_2Emin_2Efun @ A_27a @ A_27b ) @ V0i_2E0 ) @ ( s @ ( tyop_2Emin_2Efun @ A_27b @ tyop_2Emin_2Ebool ) @ V1P_2E0 ) ) ) ) )
<=> ! [V4v_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 @ V4v_2E0 ) ) ) ) )
=> ? [V5fv_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 @ V5fv_2E0 ) ) ) ) ) ) ) ) )
& ( ( p @ ( j_mono_2Etyop_2Emin_2Ebool @ ( s @ tyop_2Emin_2Ebool @ ( c_2EquantHeuristics_2EGUESS__EXISTS_2E2 @ ( s @ ( tyop_2Emin_2Efun @ A_27a @ A_27b ) @ V0i_2E0 ) @ ( s @ ( tyop_2Emin_2Efun @ A_27b @ tyop_2Emin_2Ebool ) @ V1P_2E0 ) ) ) ) )
<=> ! [V2v_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 @ V2v_2E0 ) ) ) ) )
=> ? [V3fv_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 @ V3fv_2E0 ) ) ) ) ) ) ) ) ) ) ).
thf(zip_derived_cl23,plain,
! [X0: d,X1: d,X2: u,X3: u,X4: u] :
( ( p @ ( j_mono_2Etyop_2Emin_2Ebool @ ( s @ tyop_2Emin_2Ebool @ ( c_2EquantHeuristics_2EGUESS__FORALL_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 @ X4 ) ) ) ) ) ) ) ),
inference(cnf,[status(esa)],[thm_2EquantHeuristics_2EGUESS__REWRITES]) ).
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_cl126,plain,
! [X0: u] :
( ( p @ ( j_mono_2Etyop_2Emin_2Ebool @ ( s @ tyop_2Emin_2Ebool @ ( app_2E2 @ ( s @ ( tyop_2Emin_2Efun @ sk__11 @ tyop_2Emin_2Ebool ) @ sk__14 ) @ ( s @ sk__11 @ X0 ) ) ) ) )
| ~ ( p @ ( j_mono_2Etyop_2Emin_2Ebool @ ( s @ tyop_2Emin_2Ebool @ ( app_2E2 @ ( s @ ( tyop_2Emin_2Efun @ sk__11 @ tyop_2Emin_2Ebool ) @ sk__15 ) @ ( s @ sk__11 @ X0 ) ) ) ) ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl29,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__REWRITES]) ).
thf(zip_derived_cl840,plain,
! [X0: u,X1: d,X2: u] :
( ~ ( p @ ( j_mono_2Etyop_2Emin_2Ebool @ ( s @ tyop_2Emin_2Ebool @ ( app_2E2 @ ( s @ ( tyop_2Emin_2Efun @ sk__11 @ tyop_2Emin_2Ebool ) @ sk__15 ) @ ( s @ sk__11 @ ( app_2E2 @ ( s @ ( tyop_2Emin_2Efun @ X1 @ sk__11 ) @ 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__11 ) @ X2 ) @ ( s @ ( tyop_2Emin_2Efun @ sk__11 @ tyop_2Emin_2Ebool ) @ sk__14 ) ) ) ) ) ),
inference('sup-',[status(thm)],[zip_derived_cl126,zip_derived_cl29]) ).
thf(zip_derived_cl1251,plain,
! [X1: d,X2: u] :
( ( p @ ( j_mono_2Etyop_2Emin_2Ebool @ ( s @ tyop_2Emin_2Ebool @ ( c_2EquantHeuristics_2EGUESS__FORALL_2E2 @ ( s @ ( tyop_2Emin_2Efun @ X1 @ sk__11 ) @ X2 ) @ ( s @ ( tyop_2Emin_2Efun @ sk__11 @ tyop_2Emin_2Ebool ) @ sk__15 ) ) ) ) )
| ~ ( p @ ( j_mono_2Etyop_2Emin_2Ebool @ ( s @ tyop_2Emin_2Ebool @ ( c_2EquantHeuristics_2EGUESS__FORALL__POINT_2E2 @ ( s @ ( tyop_2Emin_2Efun @ X1 @ sk__11 ) @ X2 ) @ ( s @ ( tyop_2Emin_2Efun @ sk__11 @ tyop_2Emin_2Ebool ) @ sk__14 ) ) ) ) ) ),
inference('sup-',[status(thm)],[zip_derived_cl23,zip_derived_cl840]) ).
thf(zip_derived_cl127,plain,
p @ ( j_mono_2Etyop_2Emin_2Ebool @ ( s @ tyop_2Emin_2Ebool @ ( c_2EquantHeuristics_2EGUESS__FORALL__POINT_2E2 @ ( s @ ( tyop_2Emin_2Efun @ sk__12 @ sk__11 ) @ sk__13 ) @ ( s @ ( tyop_2Emin_2Efun @ sk__11 @ tyop_2Emin_2Ebool ) @ sk__14 ) ) ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl1315,plain,
p @ ( j_mono_2Etyop_2Emin_2Ebool @ ( s @ tyop_2Emin_2Ebool @ ( c_2EquantHeuristics_2EGUESS__FORALL_2E2 @ ( s @ ( tyop_2Emin_2Efun @ sk__12 @ sk__11 ) @ sk__13 ) @ ( s @ ( tyop_2Emin_2Efun @ sk__11 @ tyop_2Emin_2Ebool ) @ sk__15 ) ) ) ),
inference('sup+',[status(thm)],[zip_derived_cl1251,zip_derived_cl127]) ).
thf(zip_derived_cl127_001,plain,
p @ ( j_mono_2Etyop_2Emin_2Ebool @ ( s @ tyop_2Emin_2Ebool @ ( c_2EquantHeuristics_2EGUESS__FORALL__POINT_2E2 @ ( s @ ( tyop_2Emin_2Efun @ sk__12 @ sk__11 ) @ sk__13 ) @ ( s @ ( tyop_2Emin_2Efun @ sk__11 @ tyop_2Emin_2Ebool ) @ sk__14 ) ) ) ),
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_cl138,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__12 @ sk__11 ) @ sk__13 ) @ ( s @ ( tyop_2Emin_2Efun @ sk__11 @ tyop_2Emin_2Ebool ) @ sk__14 ) ) ) ) ) ),
inference('sup-',[status(thm)],[zip_derived_cl127,zip_derived_cl1]) ).
thf(zip_derived_cl28,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__5 @ X3 @ X2 @ X1 @ X0 ) ) ) ) ) ) ) ) ),
inference(cnf,[status(esa)],[thm_2EquantHeuristics_2EGUESS__REWRITES]) ).
thf(zip_derived_cl840_002,plain,
! [X0: u,X1: d,X2: u] :
( ~ ( p @ ( j_mono_2Etyop_2Emin_2Ebool @ ( s @ tyop_2Emin_2Ebool @ ( app_2E2 @ ( s @ ( tyop_2Emin_2Efun @ sk__11 @ tyop_2Emin_2Ebool ) @ sk__15 ) @ ( s @ sk__11 @ ( app_2E2 @ ( s @ ( tyop_2Emin_2Efun @ X1 @ sk__11 ) @ 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__11 ) @ X2 ) @ ( s @ ( tyop_2Emin_2Efun @ sk__11 @ tyop_2Emin_2Ebool ) @ sk__14 ) ) ) ) ) ),
inference('sup-',[status(thm)],[zip_derived_cl126,zip_derived_cl29]) ).
thf(zip_derived_cl2023,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__11 ) @ X1 ) @ ( s @ ( tyop_2Emin_2Efun @ sk__11 @ tyop_2Emin_2Ebool ) @ sk__15 ) ) ) ) )
| ~ ( p @ ( j_mono_2Etyop_2Emin_2Ebool @ ( s @ tyop_2Emin_2Ebool @ ( c_2EquantHeuristics_2EGUESS__FORALL__POINT_2E2 @ ( s @ ( tyop_2Emin_2Efun @ X0 @ sk__11 ) @ X1 ) @ ( s @ ( tyop_2Emin_2Efun @ sk__11 @ tyop_2Emin_2Ebool ) @ sk__14 ) ) ) ) ) ),
inference('sup-',[status(thm)],[zip_derived_cl28,zip_derived_cl840]) ).
thf(zip_derived_cl2261,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__12 @ sk__11 ) @ sk__13 ) @ ( s @ ( tyop_2Emin_2Efun @ sk__11 @ tyop_2Emin_2Ebool ) @ sk__15 ) ) ) ) ) ),
inference('sup-',[status(thm)],[zip_derived_cl138,zip_derived_cl2023]) ).
thf(zip_derived_cl2265,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__12 @ sk__11 ) @ sk__13 ) @ ( s @ ( tyop_2Emin_2Efun @ sk__11 @ tyop_2Emin_2Ebool ) @ sk__15 ) ) ) ) )
| ~ ( p @ X0 ) ),
inference(simplify,[status(thm)],[zip_derived_cl2261]) ).
thf(zip_derived_cl125,plain,
~ ( p @ ( j_mono_2Etyop_2Emin_2Ebool @ ( s @ tyop_2Emin_2Ebool @ ( c_2EquantHeuristics_2EGUESS__FORALL__POINT_2E2 @ ( s @ ( tyop_2Emin_2Efun @ sk__12 @ sk__11 ) @ sk__13 ) @ ( s @ ( tyop_2Emin_2Efun @ sk__11 @ tyop_2Emin_2Ebool ) @ sk__15 ) ) ) ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl2267,plain,
! [X0: mono_2Etyop_2Emin_2Ebool] :
~ ( p @ X0 ),
inference(clc,[status(thm)],[zip_derived_cl2265,zip_derived_cl125]) ).
thf(zip_derived_cl2326,plain,
$false,
inference('sup-',[status(thm)],[zip_derived_cl1315,zip_derived_cl2267]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.13 % Problem : ITP006_1 : TPTP v9.2.0. Bugfixed v7.5.0.
% 0.13/0.14 % Command : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.yD22KRhNtp true
% 0.13/0.35 % Computer : n014.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 15:33:53 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
% 0.13/0.36 % Number of cores: 8
% 0.13/0.36 % Python version: Python 3.6.8
% 0.13/0.36 % Running in FO mode
% 0.57/0.67 % Total configuration time : 435
% 0.57/0.67 % Estimated wc time : 1092
% 0.57/0.67 % Estimated cpu time (7 cpus) : 156.0
% 0.58/0.74 % /export/starexec/sandbox/solver/bin/fo/fo6_bce.sh running for 75s
% 0.58/0.74 % /export/starexec/sandbox/solver/bin/fo/fo1_av.sh running for 75s
% 0.58/0.74 % /export/starexec/sandbox/solver/bin/fo/fo3_bce.sh running for 75s
% 0.58/0.74 % /export/starexec/sandbox/solver/bin/fo/fo7.sh running for 63s
% 0.58/0.74 % /export/starexec/sandbox/solver/bin/fo/fo13.sh running for 50s
% 0.58/0.75 % /export/starexec/sandbox/solver/bin/fo/fo5.sh running for 50s
% 0.59/0.85 % /export/starexec/sandbox/solver/bin/fo/fo4.sh running for 50s
% 5.46/1.49 % Solved by fo/fo4.sh.
% 5.46/1.49 % done 326 iterations in 0.527s
% 5.46/1.49 % SZS status Theorem for '/export/starexec/sandbox/benchmark/theBenchmark.p'
% 5.46/1.49 % SZS output start Refutation
% See solution above
% 5.46/1.49
% 5.46/1.49
% 5.46/1.49 % Terminating...
% 6.09/1.64 % Runner terminated.
% 6.09/1.64 % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------