TSTP Solution File: SEU406+1 by Zipperpin---2.1.9999
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%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : SEU406+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.LnI5gv1ulZ true
% Computer : n005.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 19:12:40 EDT 2023
% Result : Theorem 1.33s 1.06s
% Output : Refutation 1.33s
% Verified :
% SZS Type : Refutation
% Derivation depth : 15
% Number of leaves : 11
% Syntax : Number of formulae : 48 ( 13 unt; 7 typ; 0 def)
% Number of atoms : 97 ( 17 equ; 0 cnn)
% Maximal formula atoms : 10 ( 2 avg)
% Number of connectives : 404 ( 52 ~; 29 |; 18 &; 296 @)
% ( 2 <=>; 0 =>; 7 <=; 0 <~>)
% Maximal formula depth : 17 ( 6 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 6 ( 6 >; 0 *; 0 +; 0 <<)
% Number of symbols : 9 ( 7 usr; 5 con; 0-2 aty)
% Number of variables : 40 ( 0 ^; 40 !; 0 ?; 40 :)
% Comments :
%------------------------------------------------------------------------------
thf(r2_hidden_type,type,
r2_hidden: $i > $i > $o ).
thf(k2_xboole_0_type,type,
k2_xboole_0: $i > $i > $i ).
thf(sk__type,type,
sk_: $i ).
thf(k4_xboole_0_type,type,
k4_xboole_0: $i > $i > $i ).
thf(sk__1_type,type,
sk__1: $i ).
thf(sk__3_type,type,
sk__3: $i ).
thf(sk__2_type,type,
sk__2: $i ).
thf(t1_latsum_1,conjecture,
! [A: $i,B: $i,C: $i,D: $i] :
~ ( ( r2_hidden @ A @ ( k2_xboole_0 @ C @ D ) )
& ( r2_hidden @ B @ ( k2_xboole_0 @ C @ D ) )
& ~ ( ( r2_hidden @ A @ ( k4_xboole_0 @ C @ D ) )
& ( r2_hidden @ B @ ( k4_xboole_0 @ C @ D ) ) )
& ~ ( ( r2_hidden @ A @ D )
& ( r2_hidden @ B @ D ) )
& ~ ( ( r2_hidden @ A @ ( k4_xboole_0 @ C @ D ) )
& ( r2_hidden @ B @ D ) )
& ~ ( ( r2_hidden @ A @ D )
& ( r2_hidden @ B @ ( k4_xboole_0 @ C @ D ) ) ) ) ).
thf(zf_stmt_0,negated_conjecture,
~ ! [A: $i,B: $i,C: $i,D: $i] :
~ ( ( r2_hidden @ A @ ( k2_xboole_0 @ C @ D ) )
& ( r2_hidden @ B @ ( k2_xboole_0 @ C @ D ) )
& ~ ( ( r2_hidden @ A @ ( k4_xboole_0 @ C @ D ) )
& ( r2_hidden @ B @ ( k4_xboole_0 @ C @ D ) ) )
& ~ ( ( r2_hidden @ A @ D )
& ( r2_hidden @ B @ D ) )
& ~ ( ( r2_hidden @ A @ ( k4_xboole_0 @ C @ D ) )
& ( r2_hidden @ B @ D ) )
& ~ ( ( r2_hidden @ A @ D )
& ( r2_hidden @ B @ ( k4_xboole_0 @ C @ D ) ) ) ),
inference('cnf.neg',[status(esa)],[t1_latsum_1]) ).
thf(zip_derived_cl2,plain,
( ~ ( r2_hidden @ sk_ @ sk__3 )
| ~ ( r2_hidden @ sk__1 @ sk__3 ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf('0',plain,
( ~ ( r2_hidden @ sk_ @ sk__3 )
| ~ ( r2_hidden @ sk__1 @ sk__3 ) ),
inference(split,[status(esa)],[zip_derived_cl2]) ).
thf(t39_xboole_1,axiom,
! [A: $i,B: $i] :
( ( k2_xboole_0 @ A @ ( k4_xboole_0 @ B @ A ) )
= ( k2_xboole_0 @ A @ B ) ) ).
thf(zip_derived_cl28,plain,
! [X0: $i,X1: $i] :
( ( k2_xboole_0 @ X0 @ ( k4_xboole_0 @ X1 @ X0 ) )
= ( k2_xboole_0 @ X0 @ X1 ) ),
inference(cnf,[status(esa)],[t39_xboole_1]) ).
thf(zip_derived_cl4,plain,
r2_hidden @ sk__1 @ ( k2_xboole_0 @ sk__2 @ sk__3 ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(d2_xboole_0,axiom,
! [A: $i,B: $i,C: $i] :
( ( C
= ( k2_xboole_0 @ A @ B ) )
<=> ! [D: $i] :
( ( r2_hidden @ D @ C )
<=> ( ( r2_hidden @ D @ A )
| ( r2_hidden @ D @ B ) ) ) ) ).
thf(zip_derived_cl10,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ ( r2_hidden @ X0 @ X1 )
| ( r2_hidden @ X0 @ X2 )
| ( r2_hidden @ X0 @ X3 )
| ( X1
!= ( k2_xboole_0 @ X2 @ X3 ) ) ),
inference(cnf,[status(esa)],[d2_xboole_0]) ).
thf(zip_derived_cl100,plain,
! [X0: $i,X1: $i] :
( ( r2_hidden @ sk__1 @ X0 )
| ( r2_hidden @ sk__1 @ X1 )
| ( ( k2_xboole_0 @ sk__2 @ sk__3 )
!= ( k2_xboole_0 @ X0 @ X1 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl4,zip_derived_cl10]) ).
thf(zip_derived_cl277,plain,
! [X0: $i,X1: $i] :
( ( r2_hidden @ sk__1 @ X1 )
| ( r2_hidden @ sk__1 @ ( k4_xboole_0 @ X0 @ X1 ) )
| ( ( k2_xboole_0 @ sk__2 @ sk__3 )
!= ( k2_xboole_0 @ X1 @ X0 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl28,zip_derived_cl100]) ).
thf(zip_derived_cl0,plain,
( ~ ( r2_hidden @ sk_ @ sk__3 )
| ~ ( r2_hidden @ sk__1 @ ( k4_xboole_0 @ sk__2 @ sk__3 ) ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl34,plain,
( ~ ( r2_hidden @ sk__1 @ ( k4_xboole_0 @ sk__2 @ sk__3 ) )
<= ~ ( r2_hidden @ sk__1 @ ( k4_xboole_0 @ sk__2 @ sk__3 ) ) ),
inference(split,[status(esa)],[zip_derived_cl0]) ).
thf('1',plain,
( ~ ( r2_hidden @ sk__1 @ ( k4_xboole_0 @ sk__2 @ sk__3 ) )
| ~ ( r2_hidden @ sk_ @ sk__3 ) ),
inference(split,[status(esa)],[zip_derived_cl0]) ).
thf(zip_derived_cl3,plain,
( ~ ( r2_hidden @ sk_ @ ( k4_xboole_0 @ sk__2 @ sk__3 ) )
| ~ ( r2_hidden @ sk__1 @ ( k4_xboole_0 @ sk__2 @ sk__3 ) ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf('2',plain,
( ~ ( r2_hidden @ sk__1 @ ( k4_xboole_0 @ sk__2 @ sk__3 ) )
| ~ ( r2_hidden @ sk_ @ ( k4_xboole_0 @ sk__2 @ sk__3 ) ) ),
inference(split,[status(esa)],[zip_derived_cl3]) ).
thf(zip_derived_cl28_001,plain,
! [X0: $i,X1: $i] :
( ( k2_xboole_0 @ X0 @ ( k4_xboole_0 @ X1 @ X0 ) )
= ( k2_xboole_0 @ X0 @ X1 ) ),
inference(cnf,[status(esa)],[t39_xboole_1]) ).
thf(zip_derived_cl5,plain,
r2_hidden @ sk_ @ ( k2_xboole_0 @ sk__2 @ sk__3 ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl10_002,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ ( r2_hidden @ X0 @ X1 )
| ( r2_hidden @ X0 @ X2 )
| ( r2_hidden @ X0 @ X3 )
| ( X1
!= ( k2_xboole_0 @ X2 @ X3 ) ) ),
inference(cnf,[status(esa)],[d2_xboole_0]) ).
thf(zip_derived_cl99,plain,
! [X0: $i,X1: $i] :
( ( r2_hidden @ sk_ @ X0 )
| ( r2_hidden @ sk_ @ X1 )
| ( ( k2_xboole_0 @ sk__2 @ sk__3 )
!= ( k2_xboole_0 @ X0 @ X1 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl5,zip_derived_cl10]) ).
thf(zip_derived_cl264,plain,
! [X0: $i,X1: $i] :
( ( r2_hidden @ sk_ @ X1 )
| ( r2_hidden @ sk_ @ ( k4_xboole_0 @ X0 @ X1 ) )
| ( ( k2_xboole_0 @ sk__2 @ sk__3 )
!= ( k2_xboole_0 @ X1 @ X0 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl28,zip_derived_cl99]) ).
thf(zip_derived_cl1,plain,
( ~ ( r2_hidden @ sk_ @ ( k4_xboole_0 @ sk__2 @ sk__3 ) )
| ~ ( r2_hidden @ sk__1 @ sk__3 ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl37,plain,
( ~ ( r2_hidden @ sk_ @ ( k4_xboole_0 @ sk__2 @ sk__3 ) )
<= ~ ( r2_hidden @ sk_ @ ( k4_xboole_0 @ sk__2 @ sk__3 ) ) ),
inference(split,[status(esa)],[zip_derived_cl1]) ).
thf(zip_derived_cl1567,plain,
( ( ( ( k2_xboole_0 @ sk__2 @ sk__3 )
!= ( k2_xboole_0 @ sk__3 @ sk__2 ) )
| ( r2_hidden @ sk_ @ sk__3 ) )
<= ~ ( r2_hidden @ sk_ @ ( k4_xboole_0 @ sk__2 @ sk__3 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl264,zip_derived_cl37]) ).
thf(commutativity_k2_xboole_0,axiom,
! [A: $i,B: $i] :
( ( k2_xboole_0 @ A @ B )
= ( k2_xboole_0 @ B @ A ) ) ).
thf(zip_derived_cl7,plain,
! [X0: $i,X1: $i] :
( ( k2_xboole_0 @ X1 @ X0 )
= ( k2_xboole_0 @ X0 @ X1 ) ),
inference(cnf,[status(esa)],[commutativity_k2_xboole_0]) ).
thf(zip_derived_cl1582,plain,
( ( ( ( k2_xboole_0 @ sk__2 @ sk__3 )
!= ( k2_xboole_0 @ sk__2 @ sk__3 ) )
| ( r2_hidden @ sk_ @ sk__3 ) )
<= ~ ( r2_hidden @ sk_ @ ( k4_xboole_0 @ sk__2 @ sk__3 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl1567,zip_derived_cl7]) ).
thf(zip_derived_cl1583,plain,
( ( r2_hidden @ sk_ @ sk__3 )
<= ~ ( r2_hidden @ sk_ @ ( k4_xboole_0 @ sk__2 @ sk__3 ) ) ),
inference(simplify,[status(thm)],[zip_derived_cl1582]) ).
thf(zip_derived_cl35,plain,
( ~ ( r2_hidden @ sk_ @ sk__3 )
<= ~ ( r2_hidden @ sk_ @ sk__3 ) ),
inference(split,[status(esa)],[zip_derived_cl0]) ).
thf('3',plain,
( ( r2_hidden @ sk_ @ sk__3 )
| ( r2_hidden @ sk_ @ ( k4_xboole_0 @ sk__2 @ sk__3 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1583,zip_derived_cl35]) ).
thf('4',plain,
~ ( r2_hidden @ sk__1 @ ( k4_xboole_0 @ sk__2 @ sk__3 ) ),
inference('sat_resolution*',[status(thm)],['1','2','3']) ).
thf(zip_derived_cl1598,plain,
~ ( r2_hidden @ sk__1 @ ( k4_xboole_0 @ sk__2 @ sk__3 ) ),
inference(simpl_trail,[status(thm)],[zip_derived_cl34,'4']) ).
thf(zip_derived_cl1786,plain,
( ( ( k2_xboole_0 @ sk__2 @ sk__3 )
!= ( k2_xboole_0 @ sk__3 @ sk__2 ) )
| ( r2_hidden @ sk__1 @ sk__3 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl277,zip_derived_cl1598]) ).
thf(zip_derived_cl7_003,plain,
! [X0: $i,X1: $i] :
( ( k2_xboole_0 @ X1 @ X0 )
= ( k2_xboole_0 @ X0 @ X1 ) ),
inference(cnf,[status(esa)],[commutativity_k2_xboole_0]) ).
thf(zip_derived_cl1787,plain,
( ( ( k2_xboole_0 @ sk__2 @ sk__3 )
!= ( k2_xboole_0 @ sk__2 @ sk__3 ) )
| ( r2_hidden @ sk__1 @ sk__3 ) ),
inference(demod,[status(thm)],[zip_derived_cl1786,zip_derived_cl7]) ).
thf(zip_derived_cl1788,plain,
r2_hidden @ sk__1 @ sk__3,
inference(simplify,[status(thm)],[zip_derived_cl1787]) ).
thf(zip_derived_cl36,plain,
( ~ ( r2_hidden @ sk__1 @ sk__3 )
<= ~ ( r2_hidden @ sk__1 @ sk__3 ) ),
inference(split,[status(esa)],[zip_derived_cl1]) ).
thf('5',plain,
r2_hidden @ sk__1 @ sk__3,
inference('s_sup-',[status(thm)],[zip_derived_cl1788,zip_derived_cl36]) ).
thf('6',plain,
( ~ ( r2_hidden @ sk_ @ ( k4_xboole_0 @ sk__2 @ sk__3 ) )
| ~ ( r2_hidden @ sk__1 @ sk__3 ) ),
inference(split,[status(esa)],[zip_derived_cl1]) ).
thf('7',plain,
( ( r2_hidden @ sk_ @ ( k4_xboole_0 @ sk__2 @ sk__3 ) )
| ( r2_hidden @ sk_ @ sk__3 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1583,zip_derived_cl35]) ).
thf(zip_derived_cl1804,plain,
$false,
inference('sat_resolution*',[status(thm)],['0','5','6','7']) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.13 % Problem : SEU406+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.LnI5gv1ulZ true
% 0.15/0.35 % Computer : n005.cluster.edu
% 0.15/0.35 % Model : x86_64 x86_64
% 0.15/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.35 % Memory : 8042.1875MB
% 0.15/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.15/0.35 % CPULimit : 300
% 0.15/0.35 % WCLimit : 300
% 0.15/0.35 % DateTime : Wed Aug 23 17:31:54 EDT 2023
% 0.15/0.35 % CPUTime :
% 0.15/0.35 % Running portfolio for 300 s
% 0.15/0.35 % File : /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.15/0.35 % Number of cores: 8
% 0.15/0.36 % Python version: Python 3.6.8
% 0.15/0.36 % Running in FO mode
% 0.22/0.68 % Total configuration time : 435
% 0.22/0.68 % Estimated wc time : 1092
% 0.22/0.68 % Estimated cpu time (7 cpus) : 156.0
% 0.22/0.75 % /export/starexec/sandbox/solver/bin/fo/fo6_bce.sh running for 75s
% 0.22/0.75 % /export/starexec/sandbox/solver/bin/fo/fo3_bce.sh running for 75s
% 0.22/0.75 % /export/starexec/sandbox/solver/bin/fo/fo1_av.sh running for 75s
% 0.22/0.78 % /export/starexec/sandbox/solver/bin/fo/fo7.sh running for 63s
% 0.22/0.78 % /export/starexec/sandbox/solver/bin/fo/fo5.sh running for 50s
% 0.22/0.78 % /export/starexec/sandbox/solver/bin/fo/fo13.sh running for 50s
% 0.22/0.78 % /export/starexec/sandbox/solver/bin/fo/fo4.sh running for 50s
% 1.33/1.06 % Solved by fo/fo1_av.sh.
% 1.33/1.06 % done 875 iterations in 0.284s
% 1.33/1.06 % SZS status Theorem for '/export/starexec/sandbox/benchmark/theBenchmark.p'
% 1.33/1.06 % SZS output start Refutation
% See solution above
% 1.33/1.06
% 1.33/1.06
% 1.33/1.06 % Terminating...
% 1.95/1.12 % Runner terminated.
% 1.95/1.13 % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------