%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : ITP006_2 : 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.fzxlNnhko7 true
% Computer : n028.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 7.20s 1.64s
% Output : Refutation 7.20s
% Verified :
% SZS Type : Refutation
% Derivation depth : 11
% Number of leaves : 3
% Syntax : Number of formulae : 39 ( 14 unt; 0 typ; 0 def)
% Number of atoms : 149 ( 2 equ; 0 cnn)
% Maximal formula atoms : 36 ( 3 avg)
% Number of connectives : 831 ( 65 ~; 59 |; 9 &; 656 @)
% ( 6 <=>; 36 =>; 0 <=; 0 <~>)
% Maximal formula depth : 24 ( 11 avg)
% Number of types : 3 ( 1 usr)
% Number of type conns : 0 ( 0 >; 0 *; 0 +; 0 <<)
% Number of symbols : 19 ( 17 usr; 7 con; 0-3 aty)
% Number of variables : 103 ( 0 ^; 99 !; 4 ?; 103 :)
% Comments :
%------------------------------------------------------------------------------
thf(del_type,type,
del: $tType ).
thf(mem_type,type,
mem: $i > del > $o ).
thf(p_type,type,
p: $i > $o ).
thf(sk__16_type,type,
sk__16: $i ).
thf(sk__17_type,type,
sk__17: $i ).
thf(c_2EquantHeuristics_2EGUESS__FORALL__GAP_type,type,
c_2EquantHeuristics_2EGUESS__FORALL__GAP: del > del > $i ).
thf(c_2EquantHeuristics_2EGUESS__EXISTS__GAP_type,type,
c_2EquantHeuristics_2EGUESS__EXISTS__GAP: del > del > $i ).
thf(c_2EquantHeuristics_2EGUESS__EXISTS_type,type,
c_2EquantHeuristics_2EGUESS__EXISTS: del > del > $i ).
thf(ap_type,type,
ap: $i > $i > $i ).
thf(c_2EquantHeuristics_2EGUESS__FORALL_type,type,
c_2EquantHeuristics_2EGUESS__FORALL: del > del > $i ).
thf(arr_type,type,
arr: del > del > del ).
thf(sk__13_type,type,
sk__13: del ).
thf(bool_type,type,
bool: del ).
thf(sk__15_type,type,
sk__15: $i ).
thf(sk__8_type,type,
sk__8: $i > $i > del > $i ).
thf(sk__14_type,type,
sk__14: del ).
thf(c_2EquantHeuristics_2EGUESS__EXISTS__POINT_type,type,
c_2EquantHeuristics_2EGUESS__EXISTS__POINT: del > del > $i ).
thf(c_2EquantHeuristics_2EGUESS__FORALL__POINT_type,type,
c_2EquantHeuristics_2EGUESS__FORALL__POINT: del > del > $i ).
thf(conj_thm_2EquantHeuristics_2EGUESS__RULES__WEAKEN__FORALL__POINT,conjecture,
! [A_27a: del,A_27b: del,V0i: $i] :
( ( mem @ V0i @ ( arr @ A_27b @ A_27a ) )
=> ! [V1P: $i] :
( ( mem @ V1P @ ( arr @ A_27a @ bool ) )
=> ! [V2Q: $i] :
( ( mem @ V2Q @ ( arr @ A_27a @ bool ) )
=> ( ! [V3x: $i] :
( ( mem @ V3x @ A_27a )
=> ( ( p @ ( ap @ V2Q @ V3x ) )
=> ( p @ ( ap @ V1P @ V3x ) ) ) )
=> ( ( p @ ( ap @ ( ap @ ( c_2EquantHeuristics_2EGUESS__FORALL__POINT @ A_27b @ A_27a ) @ V0i ) @ V1P ) )
=> ( p @ ( ap @ ( ap @ ( c_2EquantHeuristics_2EGUESS__FORALL__POINT @ A_27b @ A_27a ) @ V0i ) @ V2Q ) ) ) ) ) ) ) ).
thf(zf_stmt_0,negated_conjecture,
~ ! [A_27a: del,A_27b: del,V0i: $i] :
( ( mem @ V0i @ ( arr @ A_27b @ A_27a ) )
=> ! [V1P: $i] :
( ( mem @ V1P @ ( arr @ A_27a @ bool ) )
=> ! [V2Q: $i] :
( ( mem @ V2Q @ ( arr @ A_27a @ bool ) )
=> ( ! [V3x: $i] :
( ( mem @ V3x @ A_27a )
=> ( ( p @ ( ap @ V2Q @ V3x ) )
=> ( p @ ( ap @ V1P @ V3x ) ) ) )
=> ( ( p @ ( ap @ ( ap @ ( c_2EquantHeuristics_2EGUESS__FORALL__POINT @ A_27b @ A_27a ) @ V0i ) @ V1P ) )
=> ( p @ ( ap @ ( ap @ ( c_2EquantHeuristics_2EGUESS__FORALL__POINT @ A_27b @ A_27a ) @ V0i ) @ V2Q ) ) ) ) ) ) ),
inference('cnf.neg',[status(esa)],[conj_thm_2EquantHeuristics_2EGUESS__RULES__WEAKEN__FORALL__POINT]) ).
thf(zip_derived_cl205,plain,
~ ( p @ ( ap @ ( ap @ ( c_2EquantHeuristics_2EGUESS__FORALL__POINT @ sk__14 @ sk__13 ) @ sk__15 ) @ sk__17 ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl204,plain,
mem @ sk__17 @ ( arr @ sk__13 @ bool ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(conj_thm_2EquantHeuristics_2EGUESS__REWRITES,axiom,
! [A_27a: del,A_27b: del,V0i: $i] :
( ( mem @ V0i @ ( arr @ A_27a @ A_27b ) )
=> ! [V1P: $i] :
( ( mem @ V1P @ ( arr @ A_27b @ bool ) )
=> ( ( ( p @ ( ap @ ( ap @ ( c_2EquantHeuristics_2EGUESS__EXISTS @ A_27a @ A_27b ) @ V0i ) @ V1P ) )
<=> ! [V2v: $i] :
( ( mem @ V2v @ A_27b )
=> ( ( p @ ( ap @ V1P @ V2v ) )
=> ? [V3fv: $i] :
( ( p @ ( ap @ V1P @ ( ap @ V0i @ V3fv ) ) )
& ( mem @ V3fv @ A_27a ) ) ) ) )
& ( ( p @ ( ap @ ( ap @ ( c_2EquantHeuristics_2EGUESS__FORALL @ A_27a @ A_27b ) @ V0i ) @ V1P ) )
<=> ! [V4v: $i] :
( ( mem @ V4v @ A_27b )
=> ( ~ ( p @ ( ap @ V1P @ V4v ) )
=> ? [V5fv: $i] :
( ~ ( p @ ( ap @ V1P @ ( ap @ V0i @ V5fv ) ) )
& ( mem @ V5fv @ A_27a ) ) ) ) )
& ! [V6i: $i] :
( ( mem @ V6i @ ( arr @ A_27a @ A_27b ) )
=> ! [V7P: $i] :
( ( mem @ V7P @ ( arr @ A_27b @ bool ) )
=> ( ( p @ ( ap @ ( ap @ ( c_2EquantHeuristics_2EGUESS__EXISTS__POINT @ A_27a @ A_27b ) @ V6i ) @ V7P ) )
<=> ! [V8fv: $i] :
( ( mem @ V8fv @ A_27a )
=> ( p @ ( ap @ V7P @ ( ap @ V6i @ V8fv ) ) ) ) ) ) )
& ! [V9i: $i] :
( ( mem @ V9i @ ( arr @ A_27a @ A_27b ) )
=> ! [V10P: $i] :
( ( mem @ V10P @ ( arr @ A_27b @ bool ) )
=> ( ( p @ ( ap @ ( ap @ ( c_2EquantHeuristics_2EGUESS__FORALL__POINT @ A_27a @ A_27b ) @ V9i ) @ V10P ) )
<=> ! [V11fv: $i] :
( ( mem @ V11fv @ A_27a )
=> ~ ( p @ ( ap @ V10P @ ( ap @ V9i @ V11fv ) ) ) ) ) ) )
& ! [V12i: $i] :
( ( mem @ V12i @ ( arr @ A_27a @ A_27b ) )
=> ! [V13P: $i] :
( ( mem @ V13P @ ( arr @ A_27b @ bool ) )
=> ( ( p @ ( ap @ ( ap @ ( c_2EquantHeuristics_2EGUESS__EXISTS__GAP @ A_27a @ A_27b ) @ V12i ) @ V13P ) )
<=> ! [V14v: $i] :
( ( mem @ V14v @ A_27b )
=> ( ( p @ ( ap @ V13P @ V14v ) )
=> ? [V15fv: $i] :
( ( V14v
= ( ap @ V12i @ V15fv ) )
& ( mem @ V15fv @ A_27a ) ) ) ) ) ) )
& ! [V16i: $i] :
( ( mem @ V16i @ ( arr @ A_27a @ A_27b ) )
=> ! [V17P: $i] :
( ( mem @ V17P @ ( arr @ A_27b @ bool ) )
=> ( ( p @ ( ap @ ( ap @ ( c_2EquantHeuristics_2EGUESS__FORALL__GAP @ A_27a @ A_27b ) @ V16i ) @ V17P ) )
<=> ! [V18v: $i] :
( ( mem @ V18v @ A_27b )
=> ( ~ ( p @ ( ap @ V17P @ V18v ) )
=> ? [V19fv: $i] :
( ( V18v
= ( ap @ V16i @ V19fv ) )
& ( mem @ V19fv @ A_27a ) ) ) ) ) ) ) ) ) ) ).
thf(zip_derived_cl85,plain,
! [X0: $i,X1: del,X2: $i,X3: del,X4: $i,X5: $i] :
( ~ ( mem @ X0 @ ( arr @ X1 @ bool ) )
| ~ ( mem @ X2 @ ( arr @ X3 @ X1 ) )
| ( p @ ( ap @ ( ap @ ( c_2EquantHeuristics_2EGUESS__FORALL__POINT @ X3 @ X1 ) @ X2 ) @ X4 ) )
| ( p @ ( ap @ X4 @ ( ap @ X2 @ ( sk__8 @ X4 @ X2 @ X3 ) ) ) )
| ~ ( mem @ X4 @ ( arr @ X1 @ bool ) )
| ~ ( mem @ X5 @ ( arr @ X3 @ X1 ) ) ),
inference(cnf,[status(esa)],[conj_thm_2EquantHeuristics_2EGUESS__REWRITES]) ).
thf(zip_derived_cl3183,plain,
! [X0: del,X1: del,X2: $i,X3: $i,X4: $i] :
( ~ ( mem @ X2 @ ( arr @ X1 @ X0 ) )
| ~ ( mem @ X3 @ ( arr @ X1 @ X0 ) )
| ( p @ ( ap @ ( ap @ ( c_2EquantHeuristics_2EGUESS__FORALL__POINT @ X1 @ X0 ) @ X3 ) @ X4 ) )
| ( p @ ( ap @ X4 @ ( ap @ X3 @ ( sk__8 @ X4 @ X3 @ X1 ) ) ) )
| ~ ( mem @ X4 @ ( arr @ X0 @ bool ) ) ),
inference(condensation,[status(thm)],[zip_derived_cl85]) ).
thf(zip_derived_cl3184,plain,
! [X0: del,X1: $i,X2: del,X3: $i] :
( ~ ( mem @ X1 @ ( arr @ X0 @ bool ) )
| ~ ( mem @ X3 @ ( arr @ X2 @ X0 ) )
| ( p @ ( ap @ ( ap @ ( c_2EquantHeuristics_2EGUESS__FORALL__POINT @ X2 @ X0 ) @ X3 ) @ X1 ) )
| ( p @ ( ap @ X1 @ ( ap @ X3 @ ( sk__8 @ X1 @ X3 @ X2 ) ) ) ) ),
inference(condensation,[status(thm)],[zip_derived_cl3183]) ).
thf(zip_derived_cl3192,plain,
! [X0: del,X1: $i] :
( ~ ( mem @ X1 @ ( arr @ X0 @ sk__13 ) )
| ( p @ ( ap @ ( ap @ ( c_2EquantHeuristics_2EGUESS__FORALL__POINT @ X0 @ sk__13 ) @ X1 ) @ sk__17 ) )
| ( p @ ( ap @ sk__17 @ ( ap @ X1 @ ( sk__8 @ sk__17 @ X1 @ X0 ) ) ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl204,zip_derived_cl3184]) ).
thf(zip_derived_cl203,plain,
mem @ sk__15 @ ( arr @ sk__14 @ sk__13 ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl204_001,plain,
mem @ sk__17 @ ( arr @ sk__13 @ bool ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl86,plain,
! [X0: $i,X1: del,X2: $i,X3: del,X4: $i,X5: $i] :
( ~ ( mem @ X0 @ ( arr @ X1 @ bool ) )
| ~ ( mem @ X2 @ ( arr @ X3 @ X1 ) )
| ( p @ ( ap @ ( ap @ ( c_2EquantHeuristics_2EGUESS__FORALL__POINT @ X3 @ X1 ) @ X2 ) @ X4 ) )
| ( mem @ ( sk__8 @ X4 @ X2 @ X3 ) @ X3 )
| ~ ( mem @ X4 @ ( arr @ X1 @ bool ) )
| ~ ( mem @ X5 @ ( arr @ X3 @ X1 ) ) ),
inference(cnf,[status(esa)],[conj_thm_2EquantHeuristics_2EGUESS__REWRITES]) ).
thf(zip_derived_cl3193,plain,
! [X0: del,X1: del,X2: $i,X3: $i,X4: $i] :
( ~ ( mem @ X2 @ ( arr @ X1 @ X0 ) )
| ~ ( mem @ X3 @ ( arr @ X1 @ X0 ) )
| ( p @ ( ap @ ( ap @ ( c_2EquantHeuristics_2EGUESS__FORALL__POINT @ X1 @ X0 ) @ X3 ) @ X4 ) )
| ( mem @ ( sk__8 @ X4 @ X3 @ X1 ) @ X1 )
| ~ ( mem @ X4 @ ( arr @ X0 @ bool ) ) ),
inference(condensation,[status(thm)],[zip_derived_cl86]) ).
thf(zip_derived_cl3194,plain,
! [X0: del,X1: $i,X2: del,X3: $i] :
( ~ ( mem @ X1 @ ( arr @ X0 @ bool ) )
| ~ ( mem @ X3 @ ( arr @ X2 @ X0 ) )
| ( p @ ( ap @ ( ap @ ( c_2EquantHeuristics_2EGUESS__FORALL__POINT @ X2 @ X0 ) @ X3 ) @ X1 ) )
| ( mem @ ( sk__8 @ X1 @ X3 @ X2 ) @ X2 ) ),
inference(condensation,[status(thm)],[zip_derived_cl3193]) ).
thf(zip_derived_cl3202,plain,
! [X0: del,X1: $i] :
( ~ ( mem @ X1 @ ( arr @ X0 @ sk__13 ) )
| ( p @ ( ap @ ( ap @ ( c_2EquantHeuristics_2EGUESS__FORALL__POINT @ X0 @ sk__13 ) @ X1 ) @ sk__17 ) )
| ( mem @ ( sk__8 @ sk__17 @ X1 @ X0 ) @ X0 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl204,zip_derived_cl3194]) ).
thf(zip_derived_cl5274,plain,
( ( p @ ( ap @ ( ap @ ( c_2EquantHeuristics_2EGUESS__FORALL__POINT @ sk__14 @ sk__13 ) @ sk__15 ) @ sk__17 ) )
| ( mem @ ( sk__8 @ sk__17 @ sk__15 @ sk__14 ) @ sk__14 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl203,zip_derived_cl3202]) ).
thf(zip_derived_cl205_002,plain,
~ ( p @ ( ap @ ( ap @ ( c_2EquantHeuristics_2EGUESS__FORALL__POINT @ sk__14 @ sk__13 ) @ sk__15 ) @ sk__17 ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl5290,plain,
mem @ ( sk__8 @ sk__17 @ sk__15 @ sk__14 ) @ sk__14,
inference(clc,[status(thm)],[zip_derived_cl5274,zip_derived_cl205]) ).
thf(zip_derived_cl203_003,plain,
mem @ sk__15 @ ( arr @ sk__14 @ sk__13 ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(ap_tp,axiom,
! [A: del,B: del,F: $i] :
( ( mem @ F @ ( arr @ A @ B ) )
=> ! [X: $i] :
( ( mem @ X @ A )
=> ( mem @ ( ap @ F @ X ) @ B ) ) ) ).
thf(zip_derived_cl0,plain,
! [X0: $i,X1: del,X2: $i,X3: del] :
( ~ ( mem @ X0 @ X1 )
| ( mem @ ( ap @ X2 @ X0 ) @ X3 )
| ~ ( mem @ X2 @ ( arr @ X1 @ X3 ) ) ),
inference(cnf,[status(esa)],[ap_tp]) ).
thf(zip_derived_cl1845,plain,
! [X0: $i] :
( ~ ( mem @ X0 @ sk__14 )
| ( mem @ ( ap @ sk__15 @ X0 ) @ sk__13 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl203,zip_derived_cl0]) ).
thf(zip_derived_cl206,plain,
! [X0: $i] :
( ~ ( p @ ( ap @ sk__17 @ X0 ) )
| ( p @ ( ap @ sk__16 @ X0 ) )
| ~ ( mem @ X0 @ sk__13 ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl3788,plain,
! [X0: $i] :
( ~ ( mem @ X0 @ sk__14 )
| ~ ( p @ ( ap @ sk__17 @ ( ap @ sk__15 @ X0 ) ) )
| ( p @ ( ap @ sk__16 @ ( ap @ sk__15 @ X0 ) ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1845,zip_derived_cl206]) ).
thf(zip_derived_cl203_004,plain,
mem @ sk__15 @ ( arr @ sk__14 @ sk__13 ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl208,plain,
mem @ sk__16 @ ( arr @ sk__13 @ bool ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl84,plain,
! [X0: $i,X1: del,X2: $i,X3: del,X4: $i,X5: $i,X6: $i] :
( ~ ( mem @ X0 @ ( arr @ X1 @ bool ) )
| ~ ( mem @ X2 @ ( arr @ X3 @ X1 ) )
| ~ ( mem @ X4 @ X3 )
| ~ ( p @ ( ap @ X5 @ ( ap @ X2 @ X4 ) ) )
| ~ ( p @ ( ap @ ( ap @ ( c_2EquantHeuristics_2EGUESS__FORALL__POINT @ X3 @ X1 ) @ X2 ) @ X5 ) )
| ~ ( mem @ X5 @ ( arr @ X1 @ bool ) )
| ~ ( mem @ X6 @ ( arr @ X3 @ X1 ) ) ),
inference(cnf,[status(esa)],[conj_thm_2EquantHeuristics_2EGUESS__REWRITES]) ).
thf(zip_derived_cl3163,plain,
! [X0: del,X1: del,X2: $i,X3: $i,X4: $i,X5: $i] :
( ~ ( mem @ X2 @ ( arr @ X1 @ X0 ) )
| ~ ( mem @ X3 @ ( arr @ X1 @ X0 ) )
| ~ ( mem @ X4 @ X1 )
| ~ ( p @ ( ap @ X5 @ ( ap @ X3 @ X4 ) ) )
| ~ ( p @ ( ap @ ( ap @ ( c_2EquantHeuristics_2EGUESS__FORALL__POINT @ X1 @ X0 ) @ X3 ) @ X5 ) )
| ~ ( mem @ X5 @ ( arr @ X0 @ bool ) ) ),
inference(condensation,[status(thm)],[zip_derived_cl84]) ).
thf(zip_derived_cl3164,plain,
! [X0: del,X1: $i,X2: del,X3: $i,X4: $i] :
( ~ ( mem @ X1 @ ( arr @ X0 @ bool ) )
| ~ ( mem @ X3 @ ( arr @ X2 @ X0 ) )
| ~ ( mem @ X4 @ X2 )
| ~ ( p @ ( ap @ X1 @ ( ap @ X3 @ X4 ) ) )
| ~ ( p @ ( ap @ ( ap @ ( c_2EquantHeuristics_2EGUESS__FORALL__POINT @ X2 @ X0 ) @ X3 ) @ X1 ) ) ),
inference(condensation,[status(thm)],[zip_derived_cl3163]) ).
thf(zip_derived_cl3171,plain,
! [X0: del,X1: $i,X2: $i] :
( ~ ( mem @ X1 @ ( arr @ X0 @ sk__13 ) )
| ~ ( mem @ X2 @ X0 )
| ~ ( p @ ( ap @ sk__16 @ ( ap @ X1 @ X2 ) ) )
| ~ ( p @ ( ap @ ( ap @ ( c_2EquantHeuristics_2EGUESS__FORALL__POINT @ X0 @ sk__13 ) @ X1 ) @ sk__16 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl208,zip_derived_cl3164]) ).
thf(zip_derived_cl3173,plain,
! [X0: $i] :
( ~ ( mem @ X0 @ sk__14 )
| ~ ( p @ ( ap @ sk__16 @ ( ap @ sk__15 @ X0 ) ) )
| ~ ( p @ ( ap @ ( ap @ ( c_2EquantHeuristics_2EGUESS__FORALL__POINT @ sk__14 @ sk__13 ) @ sk__15 ) @ sk__16 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl203,zip_derived_cl3171]) ).
thf(zip_derived_cl207,plain,
p @ ( ap @ ( ap @ ( c_2EquantHeuristics_2EGUESS__FORALL__POINT @ sk__14 @ sk__13 ) @ sk__15 ) @ sk__16 ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl3174,plain,
! [X0: $i] :
( ~ ( mem @ X0 @ sk__14 )
| ~ ( p @ ( ap @ sk__16 @ ( ap @ sk__15 @ X0 ) ) ) ),
inference(demod,[status(thm)],[zip_derived_cl3173,zip_derived_cl207]) ).
thf(zip_derived_cl6138,plain,
! [X0: $i] :
( ~ ( p @ ( ap @ sk__17 @ ( ap @ sk__15 @ X0 ) ) )
| ~ ( mem @ X0 @ sk__14 ) ),
inference(clc,[status(thm)],[zip_derived_cl3788,zip_derived_cl3174]) ).
thf(zip_derived_cl6140,plain,
~ ( p @ ( ap @ sk__17 @ ( ap @ sk__15 @ ( sk__8 @ sk__17 @ sk__15 @ sk__14 ) ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl5290,zip_derived_cl6138]) ).
thf(zip_derived_cl6142,plain,
( ( p @ ( ap @ ( ap @ ( c_2EquantHeuristics_2EGUESS__FORALL__POINT @ sk__14 @ sk__13 ) @ sk__15 ) @ sk__17 ) )
| ~ ( mem @ sk__15 @ ( arr @ sk__14 @ sk__13 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl3192,zip_derived_cl6140]) ).
thf(zip_derived_cl203_005,plain,
mem @ sk__15 @ ( arr @ sk__14 @ sk__13 ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl6144,plain,
p @ ( ap @ ( ap @ ( c_2EquantHeuristics_2EGUESS__FORALL__POINT @ sk__14 @ sk__13 ) @ sk__15 ) @ sk__17 ),
inference(demod,[status(thm)],[zip_derived_cl6142,zip_derived_cl203]) ).
thf(zip_derived_cl6156,plain,
$false,
inference(demod,[status(thm)],[zip_derived_cl205,zip_derived_cl6144]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12 % Problem : ITP006_2 : TPTP v9.2.0. Bugfixed v7.5.0.
% 0.11/0.13 % Command : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.fzxlNnhko7 true
% 0.13/0.34 % Computer : n028.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % WCLimit : 300
% 0.13/0.34 % DateTime : Wed Oct 1 15:34:08 EDT 2025
% 0.13/0.34 % CPUTime :
% 0.13/0.34 % Running portfolio for 300 s
% 0.13/0.34 % File : /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.13/0.34 % Number of cores: 8
% 0.13/0.35 % Python version: Python 3.6.8
% 0.13/0.35 % Running in FO mode
% 0.51/0.63 % Total configuration time : 435
% 0.51/0.63 % Estimated wc time : 1092
% 0.51/0.63 % Estimated cpu time (7 cpus) : 156.0
% 0.53/0.69 % /export/starexec/sandbox2/solver/bin/fo/fo6_bce.sh running for 75s
% 0.53/0.70 % /export/starexec/sandbox2/solver/bin/fo/fo3_bce.sh running for 75s
% 0.54/0.74 % /export/starexec/sandbox2/solver/bin/fo/fo1_av.sh running for 75s
% 0.54/0.74 % /export/starexec/sandbox2/solver/bin/fo/fo7.sh running for 63s
% 0.54/0.74 % /export/starexec/sandbox2/solver/bin/fo/fo5.sh running for 50s
% 0.54/0.74 % /export/starexec/sandbox2/solver/bin/fo/fo13.sh running for 50s
% 0.54/0.74 % /export/starexec/sandbox2/solver/bin/fo/fo4.sh running for 50s
% 7.20/1.64 % Solved by fo/fo6_bce.sh.
% 7.20/1.64 % BCE start: 209
% 7.20/1.64 % BCE eliminated: 2
% 7.20/1.64 % PE start: 207
% 7.20/1.64 logic: eq
% 7.20/1.64 % PE eliminated: 64
% 7.20/1.64 % done 929 iterations in 0.923s
% 7.20/1.64 % SZS status Theorem for '/export/starexec/sandbox2/benchmark/theBenchmark.p'
% 7.20/1.64 % SZS output start Refutation
% See solution above
% 7.20/1.64
% 7.20/1.64
% 7.20/1.64 % Terminating...
% 8.07/1.74 % Runner terminated.
% 8.07/1.75 % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------