TSTP Solution File: ITP006+2 by Zipperpin---2.1.9999
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%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : ITP006+2 : TPTP v8.1.2. Bugfixed v7.5.0.
% Transfm : NO INFORMATION
% Format : NO INFORMATION
% Command : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.5xKc8LuXBC true
% Computer : n008.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 Aug 31 05:20:50 EDT 2023
% Result : Theorem 9.62s 2.01s
% Output : Refutation 9.62s
% Verified :
% SZS Type : Refutation
% Derivation depth : 13
% Number of leaves : 21
% Syntax : Number of formulae : 67 ( 21 unt; 18 typ; 0 def)
% Number of atoms : 198 ( 2 equ; 0 cnn)
% Maximal formula atoms : 38 ( 4 avg)
% Number of connectives : 1001 ( 98 ~; 92 |; 9 &; 754 @)
% ( 6 <=>; 42 =>; 0 <=; 0 <~>)
% Maximal formula depth : 26 ( 10 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 23 ( 23 >; 0 *; 0 +; 0 <<)
% Number of symbols : 20 ( 18 usr; 7 con; 0-3 aty)
% Number of variables : 106 ( 0 ^; 102 !; 4 ?; 106 :)
% Comments :
%------------------------------------------------------------------------------
thf(bool_type,type,
bool: $i ).
thf(mem_type,type,
mem: $i > $i > $o ).
thf(sk__14_type,type,
sk__14: $i ).
thf(c_2EquantHeuristics_2EGUESS__EXISTS__POINT_type,type,
c_2EquantHeuristics_2EGUESS__EXISTS__POINT: $i > $i > $i ).
thf(ne_type,type,
ne: $i > $o ).
thf(c_2EquantHeuristics_2EGUESS__FORALL_type,type,
c_2EquantHeuristics_2EGUESS__FORALL: $i > $i > $i ).
thf(ap_type,type,
ap: $i > $i > $i ).
thf(sk__17_type,type,
sk__17: $i ).
thf(sk__8_type,type,
sk__8: $i > $i > $i > $i ).
thf(c_2EquantHeuristics_2EGUESS__FORALL__POINT_type,type,
c_2EquantHeuristics_2EGUESS__FORALL__POINT: $i > $i > $i ).
thf(sk__16_type,type,
sk__16: $i ).
thf(p_type,type,
p: $i > $o ).
thf(sk__15_type,type,
sk__15: $i ).
thf(sk__13_type,type,
sk__13: $i ).
thf(c_2EquantHeuristics_2EGUESS__EXISTS__GAP_type,type,
c_2EquantHeuristics_2EGUESS__EXISTS__GAP: $i > $i > $i ).
thf(c_2EquantHeuristics_2EGUESS__FORALL__GAP_type,type,
c_2EquantHeuristics_2EGUESS__FORALL__GAP: $i > $i > $i ).
thf(c_2EquantHeuristics_2EGUESS__EXISTS_type,type,
c_2EquantHeuristics_2EGUESS__EXISTS: $i > $i > $i ).
thf(arr_type,type,
arr: $i > $i > $i ).
thf(conj_thm_2EquantHeuristics_2EGUESS__RULES__WEAKEN__FORALL__POINT,conjecture,
! [A_27a: $i] :
( ( ne @ A_27a )
=> ! [A_27b: $i] :
( ( ne @ A_27b )
=> ! [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: $i] :
( ( ne @ A_27a )
=> ! [A_27b: $i] :
( ( ne @ A_27b )
=> ! [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_cl200,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_cl198,plain,
mem @ sk__15 @ ( arr @ sk__14 @ sk__13 ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(conj_thm_2EquantHeuristics_2EGUESS__REWRITES,axiom,
! [A_27a: $i] :
( ( ne @ A_27a )
=> ! [A_27b: $i] :
( ( ne @ A_27b )
=> ! [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_cl82,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( ~ ( ne @ X0 )
| ~ ( mem @ X1 @ ( arr @ X0 @ bool ) )
| ~ ( mem @ X2 @ ( arr @ X3 @ X0 ) )
| ( p @ ( ap @ ( ap @ ( c_2EquantHeuristics_2EGUESS__FORALL__POINT @ X3 @ X0 ) @ X2 ) @ X4 ) )
| ( p @ ( ap @ X4 @ ( ap @ X2 @ ( sk__8 @ X4 @ X2 @ X3 ) ) ) )
| ~ ( mem @ X4 @ ( arr @ X0 @ bool ) )
| ~ ( mem @ X5 @ ( arr @ X3 @ X0 ) )
| ~ ( ne @ X3 ) ),
inference(cnf,[status(esa)],[conj_thm_2EquantHeuristics_2EGUESS__REWRITES]) ).
thf(zip_derived_cl2980,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( ~ ( ne @ X0 )
| ~ ( ne @ X1 )
| ~ ( mem @ X2 @ ( arr @ X1 @ X0 ) )
| ( p @ ( ap @ ( ap @ ( c_2EquantHeuristics_2EGUESS__FORALL__POINT @ X1 @ X0 ) @ X2 ) @ X3 ) )
| ( p @ ( ap @ X3 @ ( ap @ X2 @ ( sk__8 @ X3 @ X2 @ X1 ) ) ) )
| ~ ( mem @ X3 @ ( arr @ X0 @ bool ) )
| ~ ( mem @ X4 @ ( arr @ X1 @ X0 ) ) ),
inference(condensation,[status(thm)],[zip_derived_cl82]) ).
thf(zip_derived_cl2981,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ ( ne @ X0 )
| ~ ( ne @ X1 )
| ~ ( mem @ X2 @ ( arr @ X1 @ X0 ) )
| ( p @ ( ap @ ( ap @ ( c_2EquantHeuristics_2EGUESS__FORALL__POINT @ X1 @ X0 ) @ X2 ) @ X3 ) )
| ( p @ ( ap @ X3 @ ( ap @ X2 @ ( sk__8 @ X3 @ X2 @ X1 ) ) ) )
| ~ ( mem @ X3 @ ( arr @ X0 @ bool ) ) ),
inference(condensation,[status(thm)],[zip_derived_cl2980]) ).
thf(zip_derived_cl2998,plain,
! [X0: $i] :
( ~ ( ne @ sk__13 )
| ~ ( ne @ sk__14 )
| ( p @ ( ap @ ( ap @ ( c_2EquantHeuristics_2EGUESS__FORALL__POINT @ sk__14 @ sk__13 ) @ sk__15 ) @ X0 ) )
| ( p @ ( ap @ X0 @ ( ap @ sk__15 @ ( sk__8 @ X0 @ sk__15 @ sk__14 ) ) ) )
| ~ ( mem @ X0 @ ( arr @ sk__13 @ bool ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl198,zip_derived_cl2981]) ).
thf(zip_derived_cl197,plain,
ne @ sk__13,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl204,plain,
ne @ sk__14,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl3011,plain,
! [X0: $i] :
( ( p @ ( ap @ ( ap @ ( c_2EquantHeuristics_2EGUESS__FORALL__POINT @ sk__14 @ sk__13 ) @ sk__15 ) @ X0 ) )
| ( p @ ( ap @ X0 @ ( ap @ sk__15 @ ( sk__8 @ X0 @ sk__15 @ sk__14 ) ) ) )
| ~ ( mem @ X0 @ ( arr @ sk__13 @ bool ) ) ),
inference(demod,[status(thm)],[zip_derived_cl2998,zip_derived_cl197,zip_derived_cl204]) ).
thf(zip_derived_cl198_001,plain,
mem @ sk__15 @ ( arr @ sk__14 @ sk__13 ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl81,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( ~ ( ne @ X0 )
| ~ ( mem @ X1 @ ( arr @ X0 @ bool ) )
| ~ ( mem @ X2 @ ( arr @ X3 @ X0 ) )
| ( p @ ( ap @ ( ap @ ( c_2EquantHeuristics_2EGUESS__FORALL__POINT @ X3 @ X0 ) @ X2 ) @ X4 ) )
| ( mem @ ( sk__8 @ X4 @ X2 @ X3 ) @ X3 )
| ~ ( mem @ X4 @ ( arr @ X0 @ bool ) )
| ~ ( mem @ X5 @ ( arr @ X3 @ X0 ) )
| ~ ( ne @ X3 ) ),
inference(cnf,[status(esa)],[conj_thm_2EquantHeuristics_2EGUESS__REWRITES]) ).
thf(zip_derived_cl2927,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( ~ ( ne @ X0 )
| ~ ( ne @ X1 )
| ~ ( mem @ X2 @ ( arr @ X1 @ X0 ) )
| ( p @ ( ap @ ( ap @ ( c_2EquantHeuristics_2EGUESS__FORALL__POINT @ X1 @ X0 ) @ X2 ) @ X3 ) )
| ( mem @ ( sk__8 @ X3 @ X2 @ X1 ) @ X1 )
| ~ ( mem @ X3 @ ( arr @ X0 @ bool ) )
| ~ ( mem @ X4 @ ( arr @ X1 @ X0 ) ) ),
inference(condensation,[status(thm)],[zip_derived_cl81]) ).
thf(zip_derived_cl2928,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ ( ne @ X0 )
| ~ ( ne @ X1 )
| ~ ( mem @ X2 @ ( arr @ X1 @ X0 ) )
| ( p @ ( ap @ ( ap @ ( c_2EquantHeuristics_2EGUESS__FORALL__POINT @ X1 @ X0 ) @ X2 ) @ X3 ) )
| ( mem @ ( sk__8 @ X3 @ X2 @ X1 ) @ X1 )
| ~ ( mem @ X3 @ ( arr @ X0 @ bool ) ) ),
inference(condensation,[status(thm)],[zip_derived_cl2927]) ).
thf(zip_derived_cl2945,plain,
! [X0: $i] :
( ~ ( ne @ sk__13 )
| ~ ( ne @ sk__14 )
| ( p @ ( ap @ ( ap @ ( c_2EquantHeuristics_2EGUESS__FORALL__POINT @ sk__14 @ sk__13 ) @ sk__15 ) @ X0 ) )
| ( mem @ ( sk__8 @ X0 @ sk__15 @ sk__14 ) @ sk__14 )
| ~ ( mem @ X0 @ ( arr @ sk__13 @ bool ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl198,zip_derived_cl2928]) ).
thf(zip_derived_cl197_002,plain,
ne @ sk__13,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl204_003,plain,
ne @ sk__14,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl2958,plain,
! [X0: $i] :
( ( p @ ( ap @ ( ap @ ( c_2EquantHeuristics_2EGUESS__FORALL__POINT @ sk__14 @ sk__13 ) @ sk__15 ) @ X0 ) )
| ( mem @ ( sk__8 @ X0 @ sk__15 @ sk__14 ) @ sk__14 )
| ~ ( mem @ X0 @ ( arr @ sk__13 @ bool ) ) ),
inference(demod,[status(thm)],[zip_derived_cl2945,zip_derived_cl197,zip_derived_cl204]) ).
thf(zip_derived_cl200_004,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_cl5319,plain,
( ~ ( mem @ sk__17 @ ( arr @ sk__13 @ bool ) )
| ( mem @ ( sk__8 @ sk__17 @ sk__15 @ sk__14 ) @ sk__14 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl2958,zip_derived_cl200]) ).
thf(zip_derived_cl199,plain,
mem @ sk__17 @ ( arr @ sk__13 @ bool ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl5320,plain,
mem @ ( sk__8 @ sk__17 @ sk__15 @ sk__14 ) @ sk__14,
inference(demod,[status(thm)],[zip_derived_cl5319,zip_derived_cl199]) ).
thf(zip_derived_cl198_005,plain,
mem @ sk__15 @ ( arr @ sk__14 @ sk__13 ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(ap_tp,axiom,
! [A: $i,B: $i,F: $i] :
( ( mem @ F @ ( arr @ A @ B ) )
=> ! [X: $i] :
( ( mem @ X @ A )
=> ( mem @ ( ap @ F @ X ) @ B ) ) ) ).
thf(zip_derived_cl3,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ ( mem @ X0 @ X1 )
| ( mem @ ( ap @ X2 @ X0 ) @ X3 )
| ~ ( mem @ X2 @ ( arr @ X1 @ X3 ) ) ),
inference(cnf,[status(esa)],[ap_tp]) ).
thf(zip_derived_cl1996,plain,
! [X0: $i] :
( ~ ( mem @ X0 @ sk__14 )
| ( mem @ ( ap @ sk__15 @ X0 ) @ sk__13 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl198,zip_derived_cl3]) ).
thf(zip_derived_cl201,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_cl3378,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_cl1996,zip_derived_cl201]) ).
thf(zip_derived_cl198_006,plain,
mem @ sk__15 @ ( arr @ sk__14 @ sk__13 ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl203,plain,
mem @ sk__16 @ ( arr @ sk__13 @ bool ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl203_007,plain,
mem @ sk__16 @ ( arr @ sk__13 @ bool ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl83,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i] :
( ~ ( ne @ X0 )
| ~ ( mem @ X1 @ ( arr @ X0 @ bool ) )
| ~ ( mem @ X2 @ ( arr @ X3 @ X0 ) )
| ~ ( mem @ X4 @ X3 )
| ~ ( p @ ( ap @ X5 @ ( ap @ X2 @ X4 ) ) )
| ~ ( p @ ( ap @ ( ap @ ( c_2EquantHeuristics_2EGUESS__FORALL__POINT @ X3 @ X0 ) @ X2 ) @ X5 ) )
| ~ ( mem @ X5 @ ( arr @ X0 @ bool ) )
| ~ ( mem @ X6 @ ( arr @ X3 @ X0 ) )
| ~ ( ne @ X3 ) ),
inference(cnf,[status(esa)],[conj_thm_2EquantHeuristics_2EGUESS__REWRITES]) ).
thf(zip_derived_cl3034,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( ~ ( ne @ sk__13 )
| ~ ( mem @ X1 @ ( arr @ X0 @ sk__13 ) )
| ~ ( mem @ X2 @ X0 )
| ~ ( p @ ( ap @ X3 @ ( ap @ X1 @ X2 ) ) )
| ~ ( p @ ( ap @ ( ap @ ( c_2EquantHeuristics_2EGUESS__FORALL__POINT @ X0 @ sk__13 ) @ X1 ) @ X3 ) )
| ~ ( mem @ X3 @ ( arr @ sk__13 @ bool ) )
| ~ ( mem @ X4 @ ( arr @ X0 @ sk__13 ) )
| ~ ( ne @ X0 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl203,zip_derived_cl83]) ).
thf(zip_derived_cl197_008,plain,
ne @ sk__13,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl3044,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( ~ ( mem @ X1 @ ( arr @ X0 @ sk__13 ) )
| ~ ( mem @ X2 @ X0 )
| ~ ( p @ ( ap @ X3 @ ( ap @ X1 @ X2 ) ) )
| ~ ( p @ ( ap @ ( ap @ ( c_2EquantHeuristics_2EGUESS__FORALL__POINT @ X0 @ sk__13 ) @ X1 ) @ X3 ) )
| ~ ( mem @ X3 @ ( arr @ sk__13 @ bool ) )
| ~ ( mem @ X4 @ ( arr @ X0 @ sk__13 ) )
| ~ ( ne @ X0 ) ),
inference(demod,[status(thm)],[zip_derived_cl3034,zip_derived_cl197]) ).
thf(zip_derived_cl3046,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ ( ne @ X0 )
| ~ ( mem @ X1 @ X0 )
| ~ ( p @ ( ap @ X3 @ ( ap @ X2 @ X1 ) ) )
| ~ ( p @ ( ap @ ( ap @ ( c_2EquantHeuristics_2EGUESS__FORALL__POINT @ X0 @ sk__13 ) @ X2 ) @ X3 ) )
| ~ ( mem @ X3 @ ( arr @ sk__13 @ bool ) )
| ~ ( mem @ X2 @ ( arr @ X0 @ sk__13 ) ) ),
inference(condensation,[status(thm)],[zip_derived_cl3044]) ).
thf(zip_derived_cl3047,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ ( ne @ X0 )
| ~ ( mem @ X1 @ X0 )
| ~ ( p @ ( ap @ sk__16 @ ( ap @ X2 @ X1 ) ) )
| ~ ( p @ ( ap @ ( ap @ ( c_2EquantHeuristics_2EGUESS__FORALL__POINT @ X0 @ sk__13 ) @ X2 ) @ sk__16 ) )
| ~ ( mem @ X2 @ ( arr @ X0 @ sk__13 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl203,zip_derived_cl3046]) ).
thf(zip_derived_cl3189,plain,
! [X0: $i] :
( ~ ( ne @ sk__14 )
| ~ ( 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_cl198,zip_derived_cl3047]) ).
thf(zip_derived_cl204_009,plain,
ne @ sk__14,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl202,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_cl3190,plain,
! [X0: $i] :
( ~ ( mem @ X0 @ sk__14 )
| ~ ( p @ ( ap @ sk__16 @ ( ap @ sk__15 @ X0 ) ) ) ),
inference(demod,[status(thm)],[zip_derived_cl3189,zip_derived_cl204,zip_derived_cl202]) ).
thf(zip_derived_cl6018,plain,
! [X0: $i] :
( ~ ( p @ ( ap @ sk__17 @ ( ap @ sk__15 @ X0 ) ) )
| ~ ( mem @ X0 @ sk__14 ) ),
inference(clc,[status(thm)],[zip_derived_cl3378,zip_derived_cl3190]) ).
thf(zip_derived_cl6020,plain,
~ ( p @ ( ap @ sk__17 @ ( ap @ sk__15 @ ( sk__8 @ sk__17 @ sk__15 @ sk__14 ) ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl5320,zip_derived_cl6018]) ).
thf(zip_derived_cl6036,plain,
( ~ ( mem @ sk__17 @ ( arr @ sk__13 @ bool ) )
| ( p @ ( ap @ ( ap @ ( c_2EquantHeuristics_2EGUESS__FORALL__POINT @ sk__14 @ sk__13 ) @ sk__15 ) @ sk__17 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl3011,zip_derived_cl6020]) ).
thf(zip_derived_cl199_010,plain,
mem @ sk__17 @ ( arr @ sk__13 @ bool ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl6038,plain,
p @ ( ap @ ( ap @ ( c_2EquantHeuristics_2EGUESS__FORALL__POINT @ sk__14 @ sk__13 ) @ sk__15 ) @ sk__17 ),
inference(demod,[status(thm)],[zip_derived_cl6036,zip_derived_cl199]) ).
thf(zip_derived_cl6039,plain,
$false,
inference(demod,[status(thm)],[zip_derived_cl200,zip_derived_cl6038]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.13 % Problem : ITP006+2 : TPTP v8.1.2. Bugfixed v7.5.0.
% 0.00/0.15 % Command : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.5xKc8LuXBC true
% 0.13/0.36 % Computer : n008.cluster.edu
% 0.13/0.36 % Model : x86_64 x86_64
% 0.13/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.36 % Memory : 8042.1875MB
% 0.13/0.36 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.36 % CPULimit : 300
% 0.13/0.36 % WCLimit : 300
% 0.13/0.36 % DateTime : Sun Aug 27 11:51:32 EDT 2023
% 0.20/0.36 % CPUTime :
% 0.20/0.36 % Running portfolio for 300 s
% 0.20/0.36 % File : /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.20/0.36 % Number of cores: 8
% 0.20/0.37 % Python version: Python 3.6.8
% 0.20/0.37 % Running in FO mode
% 0.20/0.66 % Total configuration time : 435
% 0.20/0.66 % Estimated wc time : 1092
% 0.20/0.66 % Estimated cpu time (7 cpus) : 156.0
% 0.20/0.74 % /export/starexec/sandbox/solver/bin/fo/fo6_bce.sh running for 75s
% 0.20/0.75 % /export/starexec/sandbox/solver/bin/fo/fo3_bce.sh running for 75s
% 0.20/0.78 % /export/starexec/sandbox/solver/bin/fo/fo7.sh running for 63s
% 0.20/0.78 % /export/starexec/sandbox/solver/bin/fo/fo1_av.sh running for 75s
% 0.20/0.78 % /export/starexec/sandbox/solver/bin/fo/fo13.sh running for 50s
% 0.20/0.78 % /export/starexec/sandbox/solver/bin/fo/fo5.sh running for 50s
% 0.20/0.78 % /export/starexec/sandbox/solver/bin/fo/fo4.sh running for 50s
% 9.62/2.01 % Solved by fo/fo6_bce.sh.
% 9.62/2.01 % BCE start: 205
% 9.62/2.01 % BCE eliminated: 2
% 9.62/2.01 % PE start: 203
% 9.62/2.01 logic: eq
% 9.62/2.01 % PE eliminated: 64
% 9.62/2.01 % done 923 iterations in 1.242s
% 9.62/2.01 % SZS status Theorem for '/export/starexec/sandbox/benchmark/theBenchmark.p'
% 9.62/2.01 % SZS output start Refutation
% See solution above
% 9.62/2.01
% 9.62/2.01
% 9.62/2.01 % Terminating...
% 10.16/2.08 % Runner terminated.
% 10.16/2.10 % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------