TSTP Solution File: SEU420+4 by Zipperpin---2.1.9999
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%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : SEU420+4 : 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.f2fy4g5h8L true
% Computer : n027.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 19:12:50 EDT 2023
% Result : Theorem 68.88s 10.59s
% Output : Refutation 68.88s
% Verified :
% SZS Type : Refutation
% Derivation depth : 8
% Number of leaves : 16
% Syntax : Number of formulae : 40 ( 13 unt; 8 typ; 0 def)
% Number of atoms : 65 ( 8 equ; 0 cnn)
% Maximal formula atoms : 4 ( 2 avg)
% Number of connectives : 291 ( 26 ~; 19 |; 2 &; 232 @)
% ( 1 <=>; 11 =>; 0 <=; 0 <~>)
% Maximal formula depth : 13 ( 7 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 8 ( 8 >; 0 *; 0 +; 0 <<)
% Number of symbols : 10 ( 8 usr; 4 con; 0-2 aty)
% Number of variables : 58 ( 0 ^; 58 !; 0 ?; 58 :)
% Comments :
%------------------------------------------------------------------------------
thf(k3_xboole_0_type,type,
k3_xboole_0: $i > $i > $i ).
thf(sk__49_type,type,
sk__49: $i ).
thf(sk__50_type,type,
sk__50: $i ).
thf(k3_pua2mss1_type,type,
k3_pua2mss1: $i > $i ).
thf(k9_relat_1_type,type,
k9_relat_1: $i > $i > $i ).
thf(v1_relat_1_type,type,
v1_relat_1: $i > $o ).
thf(sk__48_type,type,
sk__48: $i ).
thf(r1_tarski_type,type,
r1_tarski: $i > $i > $o ).
thf(t157_relat_1,axiom,
! [A: $i,B: $i] :
( ( v1_relat_1 @ B )
=> ! [C: $i] :
( ( v1_relat_1 @ C )
=> ( ( r1_tarski @ B @ C )
=> ( r1_tarski @ ( k9_relat_1 @ B @ A ) @ ( k9_relat_1 @ C @ A ) ) ) ) ) ).
thf(zip_derived_cl139,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ ( v1_relat_1 @ X0 )
| ( r1_tarski @ ( k9_relat_1 @ X1 @ X2 ) @ ( k9_relat_1 @ X0 @ X2 ) )
| ~ ( r1_tarski @ X1 @ X0 )
| ~ ( v1_relat_1 @ X1 ) ),
inference(cnf,[status(esa)],[t157_relat_1]) ).
thf(t3_relat_1,axiom,
! [A: $i,B: $i] :
( ( v1_relat_1 @ B )
=> ( ( r1_tarski @ A @ B )
=> ( v1_relat_1 @ A ) ) ) ).
thf(zip_derived_cl105,plain,
! [X0: $i,X1: $i] :
( ( v1_relat_1 @ X0 )
| ~ ( v1_relat_1 @ X1 )
| ~ ( r1_tarski @ X0 @ X1 ) ),
inference(cnf,[status(esa)],[t3_relat_1]) ).
thf(zip_derived_cl16790,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ ( r1_tarski @ X1 @ X0 )
| ( r1_tarski @ ( k9_relat_1 @ X1 @ X2 ) @ ( k9_relat_1 @ X0 @ X2 ) )
| ~ ( v1_relat_1 @ X0 ) ),
inference(clc,[status(thm)],[zip_derived_cl139,zip_derived_cl105]) ).
thf(zip_derived_cl16790_001,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ ( r1_tarski @ X1 @ X0 )
| ( r1_tarski @ ( k9_relat_1 @ X1 @ X2 ) @ ( k9_relat_1 @ X0 @ X2 ) )
| ~ ( v1_relat_1 @ X0 ) ),
inference(clc,[status(thm)],[zip_derived_cl139,zip_derived_cl105]) ).
thf(t19_xboole_1,axiom,
! [A: $i,B: $i,C: $i] :
( ( ( r1_tarski @ A @ B )
& ( r1_tarski @ A @ C ) )
=> ( r1_tarski @ A @ ( k3_xboole_0 @ B @ C ) ) ) ).
thf(zip_derived_cl24,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ ( r1_tarski @ X0 @ X1 )
| ~ ( r1_tarski @ X0 @ X2 )
| ( r1_tarski @ X0 @ ( k3_xboole_0 @ X1 @ X2 ) ) ),
inference(cnf,[status(esa)],[t19_xboole_1]) ).
thf(t13_relset_2,conjecture,
! [A: $i,B: $i] :
( ( v1_relat_1 @ B )
=> ! [C: $i] :
( ( v1_relat_1 @ C )
=> ( r1_tarski @ ( k9_relat_1 @ ( k3_xboole_0 @ B @ C ) @ ( k3_pua2mss1 @ A ) ) @ ( k3_xboole_0 @ ( k9_relat_1 @ B @ ( k3_pua2mss1 @ A ) ) @ ( k9_relat_1 @ C @ ( k3_pua2mss1 @ A ) ) ) ) ) ) ).
thf(zf_stmt_0,negated_conjecture,
~ ! [A: $i,B: $i] :
( ( v1_relat_1 @ B )
=> ! [C: $i] :
( ( v1_relat_1 @ C )
=> ( r1_tarski @ ( k9_relat_1 @ ( k3_xboole_0 @ B @ C ) @ ( k3_pua2mss1 @ A ) ) @ ( k3_xboole_0 @ ( k9_relat_1 @ B @ ( k3_pua2mss1 @ A ) ) @ ( k9_relat_1 @ C @ ( k3_pua2mss1 @ A ) ) ) ) ) ),
inference('cnf.neg',[status(esa)],[t13_relset_2]) ).
thf(zip_derived_cl353,plain,
~ ( r1_tarski @ ( k9_relat_1 @ ( k3_xboole_0 @ sk__49 @ sk__50 ) @ ( k3_pua2mss1 @ sk__48 ) ) @ ( k3_xboole_0 @ ( k9_relat_1 @ sk__49 @ ( k3_pua2mss1 @ sk__48 ) ) @ ( k9_relat_1 @ sk__50 @ ( k3_pua2mss1 @ sk__48 ) ) ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(commutativity_k3_xboole_0,axiom,
! [A: $i,B: $i] :
( ( k3_xboole_0 @ A @ B )
= ( k3_xboole_0 @ B @ A ) ) ).
thf(zip_derived_cl17,plain,
! [X0: $i,X1: $i] :
( ( k3_xboole_0 @ X1 @ X0 )
= ( k3_xboole_0 @ X0 @ X1 ) ),
inference(cnf,[status(esa)],[commutativity_k3_xboole_0]) ).
thf(zip_derived_cl17_002,plain,
! [X0: $i,X1: $i] :
( ( k3_xboole_0 @ X1 @ X0 )
= ( k3_xboole_0 @ X0 @ X1 ) ),
inference(cnf,[status(esa)],[commutativity_k3_xboole_0]) ).
thf(zip_derived_cl1245,plain,
~ ( r1_tarski @ ( k9_relat_1 @ ( k3_xboole_0 @ sk__50 @ sk__49 ) @ ( k3_pua2mss1 @ sk__48 ) ) @ ( k3_xboole_0 @ ( k9_relat_1 @ sk__50 @ ( k3_pua2mss1 @ sk__48 ) ) @ ( k9_relat_1 @ sk__49 @ ( k3_pua2mss1 @ sk__48 ) ) ) ),
inference(demod,[status(thm)],[zip_derived_cl353,zip_derived_cl17,zip_derived_cl17]) ).
thf(zip_derived_cl1592,plain,
( ~ ( r1_tarski @ ( k9_relat_1 @ ( k3_xboole_0 @ sk__50 @ sk__49 ) @ ( k3_pua2mss1 @ sk__48 ) ) @ ( k9_relat_1 @ sk__49 @ ( k3_pua2mss1 @ sk__48 ) ) )
| ~ ( r1_tarski @ ( k9_relat_1 @ ( k3_xboole_0 @ sk__50 @ sk__49 ) @ ( k3_pua2mss1 @ sk__48 ) ) @ ( k9_relat_1 @ sk__50 @ ( k3_pua2mss1 @ sk__48 ) ) ) ),
inference('sup-',[status(thm)],[zip_derived_cl24,zip_derived_cl1245]) ).
thf(zip_derived_cl16811,plain,
( ~ ( v1_relat_1 @ sk__49 )
| ~ ( r1_tarski @ ( k3_xboole_0 @ sk__50 @ sk__49 ) @ sk__49 )
| ~ ( r1_tarski @ ( k9_relat_1 @ ( k3_xboole_0 @ sk__50 @ sk__49 ) @ ( k3_pua2mss1 @ sk__48 ) ) @ ( k9_relat_1 @ sk__50 @ ( k3_pua2mss1 @ sk__48 ) ) ) ),
inference('sup-',[status(thm)],[zip_derived_cl16790,zip_derived_cl1592]) ).
thf(zip_derived_cl352,plain,
v1_relat_1 @ sk__49,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl17_003,plain,
! [X0: $i,X1: $i] :
( ( k3_xboole_0 @ X1 @ X0 )
= ( k3_xboole_0 @ X0 @ X1 ) ),
inference(cnf,[status(esa)],[commutativity_k3_xboole_0]) ).
thf(d10_xboole_0,axiom,
! [A: $i,B: $i] :
( ( A = B )
<=> ( ( r1_tarski @ A @ B )
& ( r1_tarski @ B @ A ) ) ) ).
thf(zip_derived_cl12,plain,
! [X0: $i,X1: $i] :
( ( r1_tarski @ X0 @ X1 )
| ( X0 != X1 ) ),
inference(cnf,[status(esa)],[d10_xboole_0]) ).
thf(t18_xboole_1,axiom,
! [A: $i,B: $i,C: $i] :
( ( r1_tarski @ A @ ( k3_xboole_0 @ B @ C ) )
=> ( r1_tarski @ A @ B ) ) ).
thf(zip_derived_cl23,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( r1_tarski @ X0 @ X1 )
| ~ ( r1_tarski @ X0 @ ( k3_xboole_0 @ X1 @ X2 ) ) ),
inference(cnf,[status(esa)],[t18_xboole_1]) ).
thf(zip_derived_cl407,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( X2
!= ( k3_xboole_0 @ X1 @ X0 ) )
| ( r1_tarski @ X2 @ X1 ) ),
inference('sup-',[status(thm)],[zip_derived_cl12,zip_derived_cl23]) ).
thf(zip_derived_cl1269,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( X2
!= ( k3_xboole_0 @ X1 @ X0 ) )
| ( r1_tarski @ X2 @ X0 ) ),
inference('sup-',[status(thm)],[zip_derived_cl17,zip_derived_cl407]) ).
thf(zip_derived_cl1440,plain,
! [X0: $i,X1: $i] : ( r1_tarski @ ( k3_xboole_0 @ X1 @ X0 ) @ X0 ),
inference(eq_res,[status(thm)],[zip_derived_cl1269]) ).
thf(zip_derived_cl16847,plain,
~ ( r1_tarski @ ( k9_relat_1 @ ( k3_xboole_0 @ sk__50 @ sk__49 ) @ ( k3_pua2mss1 @ sk__48 ) ) @ ( k9_relat_1 @ sk__50 @ ( k3_pua2mss1 @ sk__48 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl16811,zip_derived_cl352,zip_derived_cl1440]) ).
thf(zip_derived_cl16877,plain,
( ~ ( v1_relat_1 @ sk__50 )
| ~ ( r1_tarski @ ( k3_xboole_0 @ sk__50 @ sk__49 ) @ sk__50 ) ),
inference('sup-',[status(thm)],[zip_derived_cl16790,zip_derived_cl16847]) ).
thf(zip_derived_cl354,plain,
v1_relat_1 @ sk__50,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(t17_xboole_1,axiom,
! [A: $i,B: $i] : ( r1_tarski @ ( k3_xboole_0 @ A @ B ) @ A ) ).
thf(zip_derived_cl22,plain,
! [X0: $i,X1: $i] : ( r1_tarski @ ( k3_xboole_0 @ X0 @ X1 ) @ X0 ),
inference(cnf,[status(esa)],[t17_xboole_1]) ).
thf(zip_derived_cl16893,plain,
$false,
inference(demod,[status(thm)],[zip_derived_cl16877,zip_derived_cl354,zip_derived_cl22]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : SEU420+4 : 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.f2fy4g5h8L true
% 0.17/0.34 % Computer : n027.cluster.edu
% 0.17/0.34 % Model : x86_64 x86_64
% 0.17/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.17/0.34 % Memory : 8042.1875MB
% 0.17/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.17/0.35 % CPULimit : 300
% 0.17/0.35 % WCLimit : 300
% 0.17/0.35 % DateTime : Wed Aug 23 15:49:27 EDT 2023
% 0.17/0.35 % CPUTime :
% 0.17/0.35 % Running portfolio for 300 s
% 0.17/0.35 % File : /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.17/0.35 % Number of cores: 8
% 0.17/0.35 % Python version: Python 3.6.8
% 0.17/0.35 % Running in FO mode
% 0.22/0.63 % Total configuration time : 435
% 0.22/0.63 % Estimated wc time : 1092
% 0.22/0.63 % Estimated cpu time (7 cpus) : 156.0
% 0.22/0.70 % /export/starexec/sandbox/solver/bin/fo/fo6_bce.sh running for 75s
% 0.22/0.72 % /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
% 0.22/0.75 % /export/starexec/sandbox/solver/bin/fo/fo7.sh running for 63s
% 0.22/0.76 % /export/starexec/sandbox/solver/bin/fo/fo13.sh running for 50s
% 0.22/0.76 % /export/starexec/sandbox/solver/bin/fo/fo4.sh running for 50s
% 0.22/0.78 % /export/starexec/sandbox/solver/bin/fo/fo5.sh running for 50s
% 68.88/10.59 % Solved by fo/fo4.sh.
% 68.88/10.59 % done 2468 iterations in 9.796s
% 68.88/10.59 % SZS status Theorem for '/export/starexec/sandbox/benchmark/theBenchmark.p'
% 68.88/10.59 % SZS output start Refutation
% See solution above
% 68.88/10.59
% 68.88/10.59
% 68.88/10.59 % Terminating...
% 70.21/10.76 % Runner terminated.
% 70.21/10.77 % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------