TSTP Solution File: ALG225+1 by Zipperpin---2.1.9999
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- Process Solution
%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : ALG225+1 : TPTP v8.1.2. Released v3.4.0.
% Transfm : NO INFORMATION
% Format : NO INFORMATION
% Command : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.7nX6kD0BaZ true
% Computer : n022.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 : Wed Aug 30 17:12:19 EDT 2023
% Result : Theorem 194.89s 28.63s
% Output : Refutation 194.89s
% Verified :
% SZS Type : Refutation
% Derivation depth : 27
% Number of leaves : 46
% Syntax : Number of formulae : 138 ( 38 unt; 25 typ; 0 def)
% Number of atoms : 257 ( 53 equ; 0 cnn)
% Maximal formula atoms : 6 ( 2 avg)
% Number of connectives : 767 ( 112 ~; 100 |; 16 &; 511 @)
% ( 7 <=>; 21 =>; 0 <=; 0 <~>)
% Maximal formula depth : 12 ( 6 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 34 ( 34 >; 0 *; 0 +; 0 <<)
% Number of symbols : 27 ( 25 usr; 4 con; 0-2 aty)
% Number of variables : 157 ( 0 ^; 154 !; 3 ?; 157 :)
% Comments :
%------------------------------------------------------------------------------
thf(m1_pboole_type,type,
m1_pboole: $i > $i > $o ).
thf(v1_pre_circ_type,type,
v1_pre_circ: $i > $i > $o ).
thf(v1_xboole_0_type,type,
v1_xboole_0: $i > $o ).
thf(sk__type,type,
sk_: $i ).
thf(v3_relat_1_type,type,
v3_relat_1: $i > $o ).
thf(sk__1_type,type,
sk__1: $i ).
thf(sk__16_type,type,
sk__16: $i > $i ).
thf(k1_relat_1_type,type,
k1_relat_1: $i > $i ).
thf(sk__5_type,type,
sk__5: $i > $i ).
thf(k7_relat_1_type,type,
k7_relat_1: $i > $i > $i ).
thf(v2_relat_1_type,type,
v2_relat_1: $i > $o ).
thf(r2_hidden_type,type,
r2_hidden: $i > $i > $o ).
thf(v1_funct_1_type,type,
v1_funct_1: $i > $o ).
thf(k1_xboole_0_type,type,
k1_xboole_0: $i ).
thf(k1_closure3_type,type,
k1_closure3: $i > $i > $i ).
thf(k1_zfmisc_1_type,type,
k1_zfmisc_1: $i > $i ).
thf(r1_tarski_type,type,
r1_tarski: $i > $i > $o ).
thf(a_2_0_closure3_type,type,
a_2_0_closure3: $i > $i > $i ).
thf(sk__2_type,type,
sk__2: $i > $i > $i ).
thf(k1_pboole_type,type,
k1_pboole: $i > $i ).
thf(v1_relat_1_type,type,
v1_relat_1: $i > $o ).
thf(k1_funct_1_type,type,
k1_funct_1: $i > $i > $i ).
thf(k1_funct_4_type,type,
k1_funct_4: $i > $i > $i ).
thf(m1_subset_1_type,type,
m1_subset_1: $i > $i > $o ).
thf(sk__3_type,type,
sk__3: $i > $i > $i ).
thf(d3_closure3,axiom,
! [A: $i] :
( ~ ( v1_xboole_0 @ A )
=> ! [B: $i] :
( ( m1_pboole @ B @ A )
=> ! [C: $i] :
( ( C
= ( k1_closure3 @ A @ B ) )
<=> ( C
= ( a_2_0_closure3 @ A @ B ) ) ) ) ) ).
thf(zip_derived_cl21,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ ( m1_pboole @ X0 @ X1 )
| ( X2
!= ( k1_closure3 @ X1 @ X0 ) )
| ( X2
= ( a_2_0_closure3 @ X1 @ X0 ) )
| ( v1_xboole_0 @ X1 ) ),
inference(cnf,[status(esa)],[d3_closure3]) ).
thf(zip_derived_cl783,plain,
! [X0: $i,X1: $i] :
( ( v1_xboole_0 @ X0 )
| ( ( k1_closure3 @ X0 @ X1 )
= ( a_2_0_closure3 @ X0 @ X1 ) )
| ~ ( m1_pboole @ X1 @ X0 ) ),
inference(eq_res,[status(thm)],[zip_derived_cl21]) ).
thf(d3_tarski,axiom,
! [A: $i,B: $i] :
( ( r1_tarski @ A @ B )
<=> ! [C: $i] :
( ( r2_hidden @ C @ A )
=> ( r2_hidden @ C @ B ) ) ) ).
thf(zip_derived_cl27,plain,
! [X0: $i,X1: $i] :
( ( r1_tarski @ X0 @ X1 )
| ( r2_hidden @ ( sk__3 @ X1 @ X0 ) @ X0 ) ),
inference(cnf,[status(esa)],[d3_tarski]) ).
thf(t6_closure3,conjecture,
! [A: $i] :
( ~ ( v1_xboole_0 @ A )
=> ! [B: $i] :
( ( ( v2_relat_1 @ B )
& ( m1_pboole @ B @ A ) )
=> ( B
= ( k1_funct_4 @ ( k1_pboole @ A ) @ ( k7_relat_1 @ B @ ( k1_closure3 @ A @ B ) ) ) ) ) ) ).
thf(zf_stmt_0,negated_conjecture,
~ ! [A: $i] :
( ~ ( v1_xboole_0 @ A )
=> ! [B: $i] :
( ( ( v2_relat_1 @ B )
& ( m1_pboole @ B @ A ) )
=> ( B
= ( k1_funct_4 @ ( k1_pboole @ A ) @ ( k7_relat_1 @ B @ ( k1_closure3 @ A @ B ) ) ) ) ) ),
inference('cnf.neg',[status(esa)],[t6_closure3]) ).
thf(zip_derived_cl2,plain,
m1_pboole @ sk__1 @ sk_,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(t1_subset,axiom,
! [A: $i,B: $i] :
( ( r2_hidden @ A @ B )
=> ( m1_subset_1 @ A @ B ) ) ).
thf(zip_derived_cl112,plain,
! [X0: $i,X1: $i] :
( ( m1_subset_1 @ X0 @ X1 )
| ~ ( r2_hidden @ X0 @ X1 ) ),
inference(cnf,[status(esa)],[t1_subset]) ).
thf(fraenkel_a_2_0_closure3,axiom,
! [A: $i,B: $i,C: $i] :
( ( ~ ( v1_xboole_0 @ B )
& ( m1_pboole @ C @ B ) )
=> ( ( r2_hidden @ A @ ( a_2_0_closure3 @ B @ C ) )
<=> ? [D: $i] :
( ( ( k1_funct_1 @ C @ D )
!= k1_xboole_0 )
& ( A = D )
& ( m1_subset_1 @ D @ B ) ) ) ) ).
thf(zip_derived_cl59,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( v1_xboole_0 @ X0 )
| ~ ( m1_pboole @ X1 @ X0 )
| ( r2_hidden @ X2 @ ( a_2_0_closure3 @ X0 @ X1 ) )
| ~ ( m1_subset_1 @ X3 @ X0 )
| ( X2 != X3 )
| ( ( k1_funct_1 @ X1 @ X3 )
= k1_xboole_0 ) ),
inference(cnf,[status(esa)],[fraenkel_a_2_0_closure3]) ).
thf(zip_derived_cl993,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( ( k1_funct_1 @ X1 @ X0 )
= k1_xboole_0 )
| ~ ( m1_subset_1 @ X0 @ X2 )
| ( r2_hidden @ X0 @ ( a_2_0_closure3 @ X2 @ X1 ) )
| ~ ( m1_pboole @ X1 @ X2 )
| ( v1_xboole_0 @ X2 ) ),
inference(eq_res,[status(thm)],[zip_derived_cl59]) ).
thf(zip_derived_cl3245,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ ( r2_hidden @ X1 @ X0 )
| ( v1_xboole_0 @ X0 )
| ~ ( m1_pboole @ X2 @ X0 )
| ( r2_hidden @ X1 @ ( a_2_0_closure3 @ X0 @ X2 ) )
| ( ( k1_funct_1 @ X2 @ X1 )
= k1_xboole_0 ) ),
inference('sup-',[status(thm)],[zip_derived_cl112,zip_derived_cl993]) ).
thf(t7_boole,axiom,
! [A: $i,B: $i] :
~ ( ( r2_hidden @ A @ B )
& ( v1_xboole_0 @ B ) ) ).
thf(zip_derived_cl121,plain,
! [X0: $i,X1: $i] :
( ~ ( r2_hidden @ X0 @ X1 )
| ~ ( v1_xboole_0 @ X1 ) ),
inference(cnf,[status(esa)],[t7_boole]) ).
thf(zip_derived_cl76837,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( ( k1_funct_1 @ X2 @ X1 )
= k1_xboole_0 )
| ( r2_hidden @ X1 @ ( a_2_0_closure3 @ X0 @ X2 ) )
| ~ ( m1_pboole @ X2 @ X0 )
| ~ ( r2_hidden @ X1 @ X0 ) ),
inference(clc,[status(thm)],[zip_derived_cl3245,zip_derived_cl121]) ).
thf(zip_derived_cl76842,plain,
! [X0: $i] :
( ~ ( r2_hidden @ X0 @ sk_ )
| ( r2_hidden @ X0 @ ( a_2_0_closure3 @ sk_ @ sk__1 ) )
| ( ( k1_funct_1 @ sk__1 @ X0 )
= k1_xboole_0 ) ),
inference('sup-',[status(thm)],[zip_derived_cl2,zip_derived_cl76837]) ).
thf(zip_derived_cl2_001,plain,
m1_pboole @ sk__1 @ sk_,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(d3_pboole,axiom,
! [A: $i,B: $i] :
( ( ( v1_relat_1 @ B )
& ( v1_funct_1 @ B ) )
=> ( ( m1_pboole @ B @ A )
<=> ( ( k1_relat_1 @ B )
= A ) ) ) ).
thf(zip_derived_cl24,plain,
! [X0: $i,X1: $i] :
( ~ ( m1_pboole @ X0 @ X1 )
| ( ( k1_relat_1 @ X0 )
= X1 )
| ~ ( v1_funct_1 @ X0 )
| ~ ( v1_relat_1 @ X0 ) ),
inference(cnf,[status(esa)],[d3_pboole]) ).
thf(dt_m1_pboole,axiom,
! [A: $i,B: $i] :
( ( m1_pboole @ B @ A )
=> ( ( v1_relat_1 @ B )
& ( v1_funct_1 @ B ) ) ) ).
thf(zip_derived_cl40,plain,
! [X0: $i,X1: $i] :
( ( v1_funct_1 @ X0 )
| ~ ( m1_pboole @ X0 @ X1 ) ),
inference(cnf,[status(esa)],[dt_m1_pboole]) ).
thf(zip_derived_cl808,plain,
! [X0: $i,X1: $i] :
( ~ ( v1_relat_1 @ X0 )
| ( ( k1_relat_1 @ X0 )
= X1 )
| ~ ( m1_pboole @ X0 @ X1 ) ),
inference(clc,[status(thm)],[zip_derived_cl24,zip_derived_cl40]) ).
thf(zip_derived_cl39,plain,
! [X0: $i,X1: $i] :
( ( v1_relat_1 @ X0 )
| ~ ( m1_pboole @ X0 @ X1 ) ),
inference(cnf,[status(esa)],[dt_m1_pboole]) ).
thf(zip_derived_cl809,plain,
! [X0: $i,X1: $i] :
( ~ ( m1_pboole @ X0 @ X1 )
| ( ( k1_relat_1 @ X0 )
= X1 ) ),
inference(clc,[status(thm)],[zip_derived_cl808,zip_derived_cl39]) ).
thf(dt_k1_pboole,axiom,
! [A: $i] : ( m1_pboole @ ( k1_pboole @ A ) @ A ) ).
thf(zip_derived_cl33,plain,
! [X0: $i] : ( m1_pboole @ ( k1_pboole @ X0 ) @ X0 ),
inference(cnf,[status(esa)],[dt_k1_pboole]) ).
thf(zip_derived_cl810,plain,
! [X0: $i] :
( ( k1_relat_1 @ ( k1_pboole @ X0 ) )
= X0 ),
inference('sup+',[status(thm)],[zip_derived_cl809,zip_derived_cl33]) ).
thf(fc1_xboole_0,axiom,
v1_xboole_0 @ k1_xboole_0 ).
thf(zip_derived_cl49,plain,
v1_xboole_0 @ k1_xboole_0,
inference(cnf,[status(esa)],[fc1_xboole_0]) ).
thf(zip_derived_cl27_002,plain,
! [X0: $i,X1: $i] :
( ( r1_tarski @ X0 @ X1 )
| ( r2_hidden @ ( sk__3 @ X1 @ X0 ) @ X0 ) ),
inference(cnf,[status(esa)],[d3_tarski]) ).
thf(rc2_subset_1,axiom,
! [A: $i] :
? [B: $i] :
( ( v1_xboole_0 @ B )
& ( m1_subset_1 @ B @ ( k1_zfmisc_1 @ A ) ) ) ).
thf(zip_derived_cl88,plain,
! [X0: $i] : ( m1_subset_1 @ ( sk__16 @ X0 ) @ ( k1_zfmisc_1 @ X0 ) ),
inference(cnf,[status(esa)],[rc2_subset_1]) ).
thf(zip_derived_cl89,plain,
! [X0: $i] : ( v1_xboole_0 @ ( sk__16 @ X0 ) ),
inference(cnf,[status(esa)],[rc2_subset_1]) ).
thf(t6_boole,axiom,
! [A: $i] :
( ( v1_xboole_0 @ A )
=> ( A = k1_xboole_0 ) ) ).
thf(zip_derived_cl120,plain,
! [X0: $i] :
( ( X0 = k1_xboole_0 )
| ~ ( v1_xboole_0 @ X0 ) ),
inference(cnf,[status(esa)],[t6_boole]) ).
thf(zip_derived_cl718,plain,
! [X0: $i] :
( ( sk__16 @ X0 )
= k1_xboole_0 ),
inference('sup-',[status(thm)],[zip_derived_cl89,zip_derived_cl120]) ).
thf(zip_derived_cl763,plain,
! [X0: $i] : ( m1_subset_1 @ k1_xboole_0 @ ( k1_zfmisc_1 @ X0 ) ),
inference(demod,[status(thm)],[zip_derived_cl88,zip_derived_cl718]) ).
thf(t5_subset,axiom,
! [A: $i,B: $i,C: $i] :
~ ( ( r2_hidden @ A @ B )
& ( m1_subset_1 @ B @ ( k1_zfmisc_1 @ C ) )
& ( v1_xboole_0 @ C ) ) ).
thf(zip_derived_cl119,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ ( r2_hidden @ X0 @ X1 )
| ~ ( v1_xboole_0 @ X2 )
| ~ ( m1_subset_1 @ X1 @ ( k1_zfmisc_1 @ X2 ) ) ),
inference(cnf,[status(esa)],[t5_subset]) ).
thf(zip_derived_cl764,plain,
! [X0: $i,X1: $i] :
( ~ ( v1_xboole_0 @ X0 )
| ~ ( r2_hidden @ X1 @ k1_xboole_0 ) ),
inference('sup-',[status(thm)],[zip_derived_cl763,zip_derived_cl119]) ).
thf(zip_derived_cl872,plain,
! [X0: $i,X1: $i] :
( ( r1_tarski @ k1_xboole_0 @ X0 )
| ~ ( v1_xboole_0 @ X1 ) ),
inference('sup-',[status(thm)],[zip_derived_cl27,zip_derived_cl764]) ).
thf(zip_derived_cl1020,plain,
! [X0: $i] : ( r1_tarski @ k1_xboole_0 @ X0 ),
inference('sup-',[status(thm)],[zip_derived_cl49,zip_derived_cl872]) ).
thf(d10_xboole_0,axiom,
! [A: $i,B: $i] :
( ( A = B )
<=> ( ( r1_tarski @ A @ B )
& ( r1_tarski @ B @ A ) ) ) ).
thf(zip_derived_cl17,plain,
! [X0: $i,X1: $i] :
( ( X1 = X0 )
| ~ ( r1_tarski @ X0 @ X1 )
| ~ ( r1_tarski @ X1 @ X0 ) ),
inference(cnf,[status(esa)],[d10_xboole_0]) ).
thf(zip_derived_cl1030,plain,
! [X0: $i] :
( ~ ( r1_tarski @ X0 @ k1_xboole_0 )
| ( X0 = k1_xboole_0 ) ),
inference('sup-',[status(thm)],[zip_derived_cl1020,zip_derived_cl17]) ).
thf(t3_subset,axiom,
! [A: $i,B: $i] :
( ( m1_subset_1 @ A @ ( k1_zfmisc_1 @ B ) )
<=> ( r1_tarski @ A @ B ) ) ).
thf(zip_derived_cl116,plain,
! [X0: $i,X1: $i] :
( ( r1_tarski @ X0 @ X1 )
| ~ ( m1_subset_1 @ X0 @ ( k1_zfmisc_1 @ X1 ) ) ),
inference(cnf,[status(esa)],[t3_subset]) ).
thf(zip_derived_cl1035,plain,
! [X0: $i] :
( ( X0 = k1_xboole_0 )
| ~ ( m1_subset_1 @ X0 @ ( k1_zfmisc_1 @ k1_xboole_0 ) ) ),
inference('sup+',[status(thm)],[zip_derived_cl1030,zip_derived_cl116]) ).
thf(existence_m1_subset_1,axiom,
! [A: $i] :
? [B: $i] : ( m1_subset_1 @ B @ A ) ).
thf(zip_derived_cl43,plain,
! [X0: $i] : ( m1_subset_1 @ ( sk__5 @ X0 ) @ X0 ),
inference(cnf,[status(esa)],[existence_m1_subset_1]) ).
thf(zip_derived_cl1092,plain,
( ( sk__5 @ ( k1_zfmisc_1 @ k1_xboole_0 ) )
= k1_xboole_0 ),
inference('sup+',[status(thm)],[zip_derived_cl1035,zip_derived_cl43]) ).
thf(zip_derived_cl43_003,plain,
! [X0: $i] : ( m1_subset_1 @ ( sk__5 @ X0 ) @ X0 ),
inference(cnf,[status(esa)],[existence_m1_subset_1]) ).
thf(zip_derived_cl119_004,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ ( r2_hidden @ X0 @ X1 )
| ~ ( v1_xboole_0 @ X2 )
| ~ ( m1_subset_1 @ X1 @ ( k1_zfmisc_1 @ X2 ) ) ),
inference(cnf,[status(esa)],[t5_subset]) ).
thf(zip_derived_cl745,plain,
! [X0: $i,X1: $i] :
( ~ ( v1_xboole_0 @ X0 )
| ~ ( r2_hidden @ X1 @ ( sk__5 @ ( k1_zfmisc_1 @ X0 ) ) ) ),
inference('sup-',[status(thm)],[zip_derived_cl43,zip_derived_cl119]) ).
thf(zip_derived_cl1118,plain,
! [X0: $i] :
( ~ ( r2_hidden @ X0 @ k1_xboole_0 )
| ~ ( v1_xboole_0 @ k1_xboole_0 ) ),
inference('sup-',[status(thm)],[zip_derived_cl1092,zip_derived_cl745]) ).
thf(zip_derived_cl49_005,plain,
v1_xboole_0 @ k1_xboole_0,
inference(cnf,[status(esa)],[fc1_xboole_0]) ).
thf(zip_derived_cl1119,plain,
! [X0: $i] :
~ ( r2_hidden @ X0 @ k1_xboole_0 ),
inference(demod,[status(thm)],[zip_derived_cl1118,zip_derived_cl49]) ).
thf(d16_pboole,axiom,
! [A: $i,B: $i] :
( ( m1_pboole @ B @ A )
=> ( ( v2_relat_1 @ B )
<=> ! [C: $i] :
~ ( ( r2_hidden @ C @ A )
& ( v1_xboole_0 @ ( k1_funct_1 @ B @ C ) ) ) ) ) ).
thf(zip_derived_cl19,plain,
! [X0: $i,X1: $i] :
( ( r2_hidden @ ( sk__2 @ X0 @ X1 ) @ X1 )
| ( v2_relat_1 @ X0 )
| ~ ( m1_pboole @ X0 @ X1 ) ),
inference(cnf,[status(esa)],[d16_pboole]) ).
thf(zip_derived_cl1120,plain,
! [X0: $i] :
( ~ ( m1_pboole @ X0 @ k1_xboole_0 )
| ( v2_relat_1 @ X0 ) ),
inference('sup+',[status(thm)],[zip_derived_cl1119,zip_derived_cl19]) ).
thf(zip_derived_cl23,plain,
! [X0: $i,X1: $i] :
( ( ( k1_relat_1 @ X1 )
!= X0 )
| ( m1_pboole @ X1 @ X0 )
| ~ ( v1_funct_1 @ X1 )
| ~ ( v1_relat_1 @ X1 ) ),
inference(cnf,[status(esa)],[d3_pboole]) ).
thf(zip_derived_cl1128,plain,
! [X0: $i] :
( ( v2_relat_1 @ X0 )
| ~ ( v1_relat_1 @ X0 )
| ~ ( v1_funct_1 @ X0 )
| ( ( k1_relat_1 @ X0 )
!= k1_xboole_0 ) ),
inference('sup+',[status(thm)],[zip_derived_cl1120,zip_derived_cl23]) ).
thf(zip_derived_cl1466,plain,
! [X0: $i] :
( ( X0 != k1_xboole_0 )
| ~ ( v1_funct_1 @ ( k1_pboole @ X0 ) )
| ~ ( v1_relat_1 @ ( k1_pboole @ X0 ) )
| ( v2_relat_1 @ ( k1_pboole @ X0 ) ) ),
inference('sup-',[status(thm)],[zip_derived_cl810,zip_derived_cl1128]) ).
thf(fc1_mssubfam,axiom,
! [A: $i] :
( ( v1_pre_circ @ ( k1_pboole @ A ) @ A )
& ( v1_funct_1 @ ( k1_pboole @ A ) )
& ( v3_relat_1 @ ( k1_pboole @ A ) )
& ( v1_relat_1 @ ( k1_pboole @ A ) ) ) ).
thf(zip_derived_cl46,plain,
! [X0: $i] : ( v1_funct_1 @ ( k1_pboole @ X0 ) ),
inference(cnf,[status(esa)],[fc1_mssubfam]) ).
thf(zip_derived_cl44,plain,
! [X0: $i] : ( v1_relat_1 @ ( k1_pboole @ X0 ) ),
inference(cnf,[status(esa)],[fc1_mssubfam]) ).
thf(zip_derived_cl1473,plain,
! [X0: $i] :
( ( X0 != k1_xboole_0 )
| ( v2_relat_1 @ ( k1_pboole @ X0 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl1466,zip_derived_cl46,zip_derived_cl44]) ).
thf(zip_derived_cl45,plain,
! [X0: $i] : ( v3_relat_1 @ ( k1_pboole @ X0 ) ),
inference(cnf,[status(esa)],[fc1_mssubfam]) ).
thf(cc1_pboole,axiom,
! [A: $i] :
( ~ ( v1_xboole_0 @ A )
=> ! [B: $i] :
( ( m1_pboole @ B @ A )
=> ( ( v2_relat_1 @ B )
=> ~ ( v3_relat_1 @ B ) ) ) ) ).
thf(zip_derived_cl9,plain,
! [X0: $i,X1: $i] :
( ~ ( m1_pboole @ X0 @ X1 )
| ~ ( v3_relat_1 @ X0 )
| ~ ( v2_relat_1 @ X0 )
| ( v1_xboole_0 @ X1 ) ),
inference(cnf,[status(esa)],[cc1_pboole]) ).
thf(zip_derived_cl547,plain,
! [X0: $i,X1: $i] :
( ( v1_xboole_0 @ X1 )
| ~ ( v2_relat_1 @ ( k1_pboole @ X0 ) )
| ~ ( m1_pboole @ ( k1_pboole @ X0 ) @ X1 ) ),
inference('dp-resolution',[status(thm)],[zip_derived_cl45,zip_derived_cl9]) ).
thf(zip_derived_cl33_006,plain,
! [X0: $i] : ( m1_pboole @ ( k1_pboole @ X0 ) @ X0 ),
inference(cnf,[status(esa)],[dt_k1_pboole]) ).
thf(zip_derived_cl779,plain,
! [X0: $i] :
( ~ ( v2_relat_1 @ ( k1_pboole @ X0 ) )
| ( v1_xboole_0 @ X0 ) ),
inference('sup+',[status(thm)],[zip_derived_cl547,zip_derived_cl33]) ).
thf(zip_derived_cl1482,plain,
! [X0: $i] :
( ( X0 != k1_xboole_0 )
| ( v1_xboole_0 @ X0 ) ),
inference('sup-',[status(thm)],[zip_derived_cl1473,zip_derived_cl779]) ).
thf(zip_derived_cl20,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ ( v2_relat_1 @ X0 )
| ~ ( r2_hidden @ X1 @ X2 )
| ~ ( v1_xboole_0 @ ( k1_funct_1 @ X0 @ X1 ) )
| ~ ( m1_pboole @ X0 @ X2 ) ),
inference(cnf,[status(esa)],[d16_pboole]) ).
thf(zip_derived_cl1491,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( ( k1_funct_1 @ X1 @ X0 )
!= k1_xboole_0 )
| ~ ( m1_pboole @ X1 @ X2 )
| ~ ( r2_hidden @ X0 @ X2 )
| ~ ( v2_relat_1 @ X1 ) ),
inference('sup-',[status(thm)],[zip_derived_cl1482,zip_derived_cl20]) ).
thf(zip_derived_cl1568,plain,
! [X0: $i] :
( ~ ( v2_relat_1 @ sk__1 )
| ~ ( r2_hidden @ X0 @ sk_ )
| ( ( k1_funct_1 @ sk__1 @ X0 )
!= k1_xboole_0 ) ),
inference('sup-',[status(thm)],[zip_derived_cl2,zip_derived_cl1491]) ).
thf(zip_derived_cl3,plain,
v2_relat_1 @ sk__1,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl1572,plain,
! [X0: $i] :
( ~ ( r2_hidden @ X0 @ sk_ )
| ( ( k1_funct_1 @ sk__1 @ X0 )
!= k1_xboole_0 ) ),
inference(demod,[status(thm)],[zip_derived_cl1568,zip_derived_cl3]) ).
thf(zip_derived_cl76847,plain,
! [X0: $i] :
( ( r2_hidden @ X0 @ ( a_2_0_closure3 @ sk_ @ sk__1 ) )
| ~ ( r2_hidden @ X0 @ sk_ ) ),
inference(clc,[status(thm)],[zip_derived_cl76842,zip_derived_cl1572]) ).
thf(zip_derived_cl26,plain,
! [X0: $i,X1: $i] :
( ( r1_tarski @ X0 @ X1 )
| ~ ( r2_hidden @ ( sk__3 @ X1 @ X0 ) @ X1 ) ),
inference(cnf,[status(esa)],[d3_tarski]) ).
thf(zip_derived_cl76866,plain,
! [X0: $i] :
( ~ ( r2_hidden @ ( sk__3 @ ( a_2_0_closure3 @ sk_ @ sk__1 ) @ X0 ) @ sk_ )
| ( r1_tarski @ X0 @ ( a_2_0_closure3 @ sk_ @ sk__1 ) ) ),
inference('sup-',[status(thm)],[zip_derived_cl76847,zip_derived_cl26]) ).
thf(zip_derived_cl183285,plain,
( ( r1_tarski @ sk_ @ ( a_2_0_closure3 @ sk_ @ sk__1 ) )
| ( r1_tarski @ sk_ @ ( a_2_0_closure3 @ sk_ @ sk__1 ) ) ),
inference('sup-',[status(thm)],[zip_derived_cl27,zip_derived_cl76866]) ).
thf(zip_derived_cl183307,plain,
r1_tarski @ sk_ @ ( a_2_0_closure3 @ sk_ @ sk__1 ),
inference(simplify,[status(thm)],[zip_derived_cl183285]) ).
thf(zip_derived_cl809_007,plain,
! [X0: $i,X1: $i] :
( ~ ( m1_pboole @ X0 @ X1 )
| ( ( k1_relat_1 @ X0 )
= X1 ) ),
inference(clc,[status(thm)],[zip_derived_cl808,zip_derived_cl39]) ).
thf(zip_derived_cl2_008,plain,
m1_pboole @ sk__1 @ sk_,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl811,plain,
( ( k1_relat_1 @ sk__1 )
= sk_ ),
inference('sup+',[status(thm)],[zip_derived_cl809,zip_derived_cl2]) ).
thf(t97_relat_1,axiom,
! [A: $i,B: $i] :
( ( v1_relat_1 @ B )
=> ( ( r1_tarski @ ( k1_relat_1 @ B ) @ A )
=> ( ( k7_relat_1 @ B @ A )
= B ) ) ) ).
thf(zip_derived_cl123,plain,
! [X0: $i,X1: $i] :
( ~ ( r1_tarski @ ( k1_relat_1 @ X0 ) @ X1 )
| ( ( k7_relat_1 @ X0 @ X1 )
= X0 )
| ~ ( v1_relat_1 @ X0 ) ),
inference(cnf,[status(esa)],[t97_relat_1]) ).
thf(zip_derived_cl826,plain,
! [X0: $i] :
( ~ ( r1_tarski @ sk_ @ X0 )
| ~ ( v1_relat_1 @ sk__1 )
| ( ( k7_relat_1 @ sk__1 @ X0 )
= sk__1 ) ),
inference('sup-',[status(thm)],[zip_derived_cl811,zip_derived_cl123]) ).
thf(zip_derived_cl39_009,plain,
! [X0: $i,X1: $i] :
( ( v1_relat_1 @ X0 )
| ~ ( m1_pboole @ X0 @ X1 ) ),
inference(cnf,[status(esa)],[dt_m1_pboole]) ).
thf(zip_derived_cl2_010,plain,
m1_pboole @ sk__1 @ sk_,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl714,plain,
v1_relat_1 @ sk__1,
inference('sup+',[status(thm)],[zip_derived_cl39,zip_derived_cl2]) ).
thf(zip_derived_cl827,plain,
! [X0: $i] :
( ~ ( r1_tarski @ sk_ @ X0 )
| ( ( k7_relat_1 @ sk__1 @ X0 )
= sk__1 ) ),
inference(demod,[status(thm)],[zip_derived_cl826,zip_derived_cl714]) ).
thf(zip_derived_cl183354,plain,
( ( k7_relat_1 @ sk__1 @ ( a_2_0_closure3 @ sk_ @ sk__1 ) )
= sk__1 ),
inference('sup-',[status(thm)],[zip_derived_cl183307,zip_derived_cl827]) ).
thf(zip_derived_cl183379,plain,
( ( ( k7_relat_1 @ sk__1 @ ( k1_closure3 @ sk_ @ sk__1 ) )
= sk__1 )
| ~ ( m1_pboole @ sk__1 @ sk_ )
| ( v1_xboole_0 @ sk_ ) ),
inference('sup+',[status(thm)],[zip_derived_cl783,zip_derived_cl183354]) ).
thf(zip_derived_cl2_011,plain,
m1_pboole @ sk__1 @ sk_,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl0,plain,
~ ( v1_xboole_0 @ sk_ ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl183380,plain,
( ( k7_relat_1 @ sk__1 @ ( k1_closure3 @ sk_ @ sk__1 ) )
= sk__1 ),
inference(demod,[status(thm)],[zip_derived_cl183379,zip_derived_cl2,zip_derived_cl0]) ).
thf(zip_derived_cl33_012,plain,
! [X0: $i] : ( m1_pboole @ ( k1_pboole @ X0 ) @ X0 ),
inference(cnf,[status(esa)],[dt_k1_pboole]) ).
thf(t1_closure3,axiom,
! [A: $i] :
( ~ ( v1_xboole_0 @ A )
=> ! [B: $i] :
( ( m1_pboole @ B @ A )
=> ! [C: $i] :
( ( m1_pboole @ C @ A )
=> ( ( k1_funct_4 @ B @ C )
= C ) ) ) ) ).
thf(zip_derived_cl111,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ ( m1_pboole @ X0 @ X1 )
| ( ( k1_funct_4 @ X0 @ X2 )
= X2 )
| ~ ( m1_pboole @ X2 @ X1 )
| ( v1_xboole_0 @ X1 ) ),
inference(cnf,[status(esa)],[t1_closure3]) ).
thf(zip_derived_cl923,plain,
! [X0: $i,X1: $i] :
( ( v1_xboole_0 @ X0 )
| ~ ( m1_pboole @ X1 @ X0 )
| ( ( k1_funct_4 @ ( k1_pboole @ X0 ) @ X1 )
= X1 ) ),
inference('sup-',[status(thm)],[zip_derived_cl33,zip_derived_cl111]) ).
thf(zip_derived_cl1,plain,
( sk__1
!= ( k1_funct_4 @ ( k1_pboole @ sk_ ) @ ( k7_relat_1 @ sk__1 @ ( k1_closure3 @ sk_ @ sk__1 ) ) ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl2065,plain,
( ( sk__1
!= ( k7_relat_1 @ sk__1 @ ( k1_closure3 @ sk_ @ sk__1 ) ) )
| ~ ( m1_pboole @ ( k7_relat_1 @ sk__1 @ ( k1_closure3 @ sk_ @ sk__1 ) ) @ sk_ )
| ( v1_xboole_0 @ sk_ ) ),
inference('sup-',[status(thm)],[zip_derived_cl923,zip_derived_cl1]) ).
thf(zip_derived_cl0_013,plain,
~ ( v1_xboole_0 @ sk_ ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl2068,plain,
( ( sk__1
!= ( k7_relat_1 @ sk__1 @ ( k1_closure3 @ sk_ @ sk__1 ) ) )
| ~ ( m1_pboole @ ( k7_relat_1 @ sk__1 @ ( k1_closure3 @ sk_ @ sk__1 ) ) @ sk_ ) ),
inference(demod,[status(thm)],[zip_derived_cl2065,zip_derived_cl0]) ).
thf(zip_derived_cl2069,plain,
( ( sk__1
!= ( k7_relat_1 @ sk__1 @ ( k1_closure3 @ sk_ @ sk__1 ) ) )
| ~ ( m1_pboole @ sk__1 @ sk_ ) ),
inference(local_rewriting,[status(thm)],[zip_derived_cl2068]) ).
thf(zip_derived_cl2_014,plain,
m1_pboole @ sk__1 @ sk_,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl2070,plain,
( sk__1
!= ( k7_relat_1 @ sk__1 @ ( k1_closure3 @ sk_ @ sk__1 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl2069,zip_derived_cl2]) ).
thf(zip_derived_cl183381,plain,
$false,
inference('simplify_reflect-',[status(thm)],[zip_derived_cl183380,zip_derived_cl2070]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.13 % Problem : ALG225+1 : TPTP v8.1.2. Released v3.4.0.
% 0.00/0.14 % Command : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.7nX6kD0BaZ true
% 0.14/0.35 % Computer : n022.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 : Mon Aug 28 03:27:39 EDT 2023
% 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
% 0.14/0.36 % Python version: Python 3.6.8
% 0.14/0.36 % 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
% 0.20/0.70 % /export/starexec/sandbox/solver/bin/fo/fo6_bce.sh running for 75s
% 0.20/0.74 % /export/starexec/sandbox/solver/bin/fo/fo3_bce.sh running for 75s
% 0.20/0.76 % /export/starexec/sandbox/solver/bin/fo/fo1_av.sh running for 75s
% 0.20/0.76 % /export/starexec/sandbox/solver/bin/fo/fo7.sh running for 63s
% 0.20/0.77 % /export/starexec/sandbox/solver/bin/fo/fo13.sh running for 50s
% 0.20/0.77 % /export/starexec/sandbox/solver/bin/fo/fo5.sh running for 50s
% 0.20/0.77 % /export/starexec/sandbox/solver/bin/fo/fo4.sh running for 50s
% 194.89/28.63 % Solved by fo/fo3_bce.sh.
% 194.89/28.63 % BCE start: 124
% 194.89/28.63 % BCE eliminated: 13
% 194.89/28.63 % PE start: 111
% 194.89/28.63 logic: eq
% 194.89/28.63 % PE eliminated: -3
% 194.89/28.63 % done 14867 iterations in 27.860s
% 194.89/28.63 % SZS status Theorem for '/export/starexec/sandbox/benchmark/theBenchmark.p'
% 194.89/28.63 % SZS output start Refutation
% See solution above
% 194.89/28.63
% 194.89/28.63
% 194.89/28.63 % Terminating...
% 195.56/28.74 % Runner terminated.
% 195.56/28.75 % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------