TSTP Solution File: SEU418+3 by Zipperpin---2.1.9999
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : SEU418+3 : TPTP v8.1.2. Released v3.4.0.
% Transfm : NO INFORMATION
% Format : NO INFORMATION
% Command : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.XeLTepepDv true
% Computer : n025.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 19:12:48 EDT 2023
% Result : Theorem 33.31s 5.45s
% Output : Refutation 33.31s
% Verified :
% SZS Type : Refutation
% Derivation depth : 8
% Number of leaves : 15
% Syntax : Number of formulae : 41 ( 15 unt; 7 typ; 0 def)
% Number of atoms : 75 ( 8 equ; 0 cnn)
% Maximal formula atoms : 5 ( 2 avg)
% Number of connectives : 294 ( 31 ~; 24 |; 2 &; 222 @)
% ( 1 <=>; 14 =>; 0 <=; 0 <~>)
% Maximal formula depth : 14 ( 7 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 7 ( 7 >; 0 *; 0 +; 0 <<)
% Number of symbols : 9 ( 7 usr; 4 con; 0-2 aty)
% Number of variables : 58 ( 0 ^; 58 !; 0 ?; 58 :)
% Comments :
%------------------------------------------------------------------------------
thf(sk__34_type,type,
sk__34: $i ).
thf(k3_xboole_0_type,type,
k3_xboole_0: $i > $i > $i ).
thf(sk__32_type,type,
sk__32: $i ).
thf(k5_relat_1_type,type,
k5_relat_1: $i > $i > $i ).
thf(sk__33_type,type,
sk__33: $i ).
thf(v1_relat_1_type,type,
v1_relat_1: $i > $o ).
thf(r1_tarski_type,type,
r1_tarski: $i > $i > $o ).
thf(t49_relat_1,axiom,
! [A: $i] :
( ( v1_relat_1 @ A )
=> ! [B: $i] :
( ( v1_relat_1 @ B )
=> ! [C: $i] :
( ( v1_relat_1 @ C )
=> ( ( r1_tarski @ A @ B )
=> ( r1_tarski @ ( k5_relat_1 @ A @ C ) @ ( k5_relat_1 @ B @ C ) ) ) ) ) ) ).
thf(zip_derived_cl110,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ ( v1_relat_1 @ X0 )
| ~ ( r1_tarski @ X1 @ X0 )
| ( r1_tarski @ ( k5_relat_1 @ X1 @ X2 ) @ ( k5_relat_1 @ X0 @ X2 ) )
| ~ ( v1_relat_1 @ X2 )
| ~ ( v1_relat_1 @ X1 ) ),
inference(cnf,[status(esa)],[t49_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_cl94,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_cl15784,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ ( v1_relat_1 @ X2 )
| ( r1_tarski @ ( k5_relat_1 @ X1 @ X2 ) @ ( k5_relat_1 @ X0 @ X2 ) )
| ~ ( r1_tarski @ X1 @ X0 )
| ~ ( v1_relat_1 @ X0 ) ),
inference(clc,[status(thm)],[zip_derived_cl110,zip_derived_cl94]) ).
thf(zip_derived_cl15784_001,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ ( v1_relat_1 @ X2 )
| ( r1_tarski @ ( k5_relat_1 @ X1 @ X2 ) @ ( k5_relat_1 @ X0 @ X2 ) )
| ~ ( r1_tarski @ X1 @ X0 )
| ~ ( v1_relat_1 @ X0 ) ),
inference(clc,[status(thm)],[zip_derived_cl110,zip_derived_cl94]) ).
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_cl26,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(t8_relset_2,conjecture,
! [A: $i] :
( ( v1_relat_1 @ A )
=> ! [B: $i] :
( ( v1_relat_1 @ B )
=> ! [C: $i] :
( ( v1_relat_1 @ C )
=> ( r1_tarski @ ( k5_relat_1 @ ( k3_xboole_0 @ A @ B ) @ C ) @ ( k3_xboole_0 @ ( k5_relat_1 @ A @ C ) @ ( k5_relat_1 @ B @ C ) ) ) ) ) ) ).
thf(zf_stmt_0,negated_conjecture,
~ ! [A: $i] :
( ( v1_relat_1 @ A )
=> ! [B: $i] :
( ( v1_relat_1 @ B )
=> ! [C: $i] :
( ( v1_relat_1 @ C )
=> ( r1_tarski @ ( k5_relat_1 @ ( k3_xboole_0 @ A @ B ) @ C ) @ ( k3_xboole_0 @ ( k5_relat_1 @ A @ C ) @ ( k5_relat_1 @ B @ C ) ) ) ) ) ),
inference('cnf.neg',[status(esa)],[t8_relset_2]) ).
thf(zip_derived_cl225,plain,
~ ( r1_tarski @ ( k5_relat_1 @ ( k3_xboole_0 @ sk__32 @ sk__33 ) @ sk__34 ) @ ( k3_xboole_0 @ ( k5_relat_1 @ sk__32 @ sk__34 ) @ ( k5_relat_1 @ sk__33 @ sk__34 ) ) ),
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_cl478,plain,
~ ( r1_tarski @ ( k5_relat_1 @ ( k3_xboole_0 @ sk__33 @ sk__32 ) @ sk__34 ) @ ( k3_xboole_0 @ ( k5_relat_1 @ sk__33 @ sk__34 ) @ ( k5_relat_1 @ sk__32 @ sk__34 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl225,zip_derived_cl17,zip_derived_cl17]) ).
thf(zip_derived_cl943,plain,
( ~ ( r1_tarski @ ( k5_relat_1 @ ( k3_xboole_0 @ sk__33 @ sk__32 ) @ sk__34 ) @ ( k5_relat_1 @ sk__32 @ sk__34 ) )
| ~ ( r1_tarski @ ( k5_relat_1 @ ( k3_xboole_0 @ sk__33 @ sk__32 ) @ sk__34 ) @ ( k5_relat_1 @ sk__33 @ sk__34 ) ) ),
inference('sup-',[status(thm)],[zip_derived_cl26,zip_derived_cl478]) ).
thf(zip_derived_cl15799,plain,
( ~ ( v1_relat_1 @ sk__32 )
| ~ ( r1_tarski @ ( k3_xboole_0 @ sk__33 @ sk__32 ) @ sk__32 )
| ~ ( v1_relat_1 @ sk__34 )
| ~ ( r1_tarski @ ( k5_relat_1 @ ( k3_xboole_0 @ sk__33 @ sk__32 ) @ sk__34 ) @ ( k5_relat_1 @ sk__33 @ sk__34 ) ) ),
inference('sup-',[status(thm)],[zip_derived_cl15784,zip_derived_cl943]) ).
thf(zip_derived_cl223,plain,
v1_relat_1 @ sk__32,
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_cl25,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_cl391,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_cl25]) ).
thf(zip_derived_cl491,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_cl391]) ).
thf(zip_derived_cl640,plain,
! [X0: $i,X1: $i] : ( r1_tarski @ ( k3_xboole_0 @ X1 @ X0 ) @ X0 ),
inference(eq_res,[status(thm)],[zip_derived_cl491]) ).
thf(zip_derived_cl224,plain,
v1_relat_1 @ sk__34,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl15850,plain,
~ ( r1_tarski @ ( k5_relat_1 @ ( k3_xboole_0 @ sk__33 @ sk__32 ) @ sk__34 ) @ ( k5_relat_1 @ sk__33 @ sk__34 ) ),
inference(demod,[status(thm)],[zip_derived_cl15799,zip_derived_cl223,zip_derived_cl640,zip_derived_cl224]) ).
thf(zip_derived_cl15856,plain,
( ~ ( v1_relat_1 @ sk__33 )
| ~ ( r1_tarski @ ( k3_xboole_0 @ sk__33 @ sk__32 ) @ sk__33 )
| ~ ( v1_relat_1 @ sk__34 ) ),
inference('sup-',[status(thm)],[zip_derived_cl15784,zip_derived_cl15850]) ).
thf(zip_derived_cl226,plain,
v1_relat_1 @ sk__33,
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_cl24,plain,
! [X0: $i,X1: $i] : ( r1_tarski @ ( k3_xboole_0 @ X0 @ X1 ) @ X0 ),
inference(cnf,[status(esa)],[t17_xboole_1]) ).
thf(zip_derived_cl224_004,plain,
v1_relat_1 @ sk__34,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl15894,plain,
$false,
inference(demod,[status(thm)],[zip_derived_cl15856,zip_derived_cl226,zip_derived_cl24,zip_derived_cl224]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.13 % Problem : SEU418+3 : TPTP v8.1.2. Released v3.4.0.
% 0.00/0.14 % Command : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.XeLTepepDv true
% 0.14/0.35 % Computer : n025.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 : Wed Aug 23 14:46:08 EDT 2023
% 0.14/0.35 % CPUTime :
% 0.14/0.35 % Running portfolio for 300 s
% 0.14/0.35 % File : /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.14/0.36 % Number of cores: 8
% 0.14/0.36 % Python version: Python 3.6.8
% 0.14/0.36 % Running in FO mode
% 0.21/0.66 % Total configuration time : 435
% 0.21/0.66 % Estimated wc time : 1092
% 0.21/0.66 % Estimated cpu time (7 cpus) : 156.0
% 0.21/0.71 % /export/starexec/sandbox2/solver/bin/fo/fo6_bce.sh running for 75s
% 0.21/0.74 % /export/starexec/sandbox2/solver/bin/fo/fo3_bce.sh running for 75s
% 0.21/0.75 % /export/starexec/sandbox2/solver/bin/fo/fo1_av.sh running for 75s
% 0.21/0.75 % /export/starexec/sandbox2/solver/bin/fo/fo7.sh running for 63s
% 0.21/0.76 % /export/starexec/sandbox2/solver/bin/fo/fo13.sh running for 50s
% 0.21/0.76 % /export/starexec/sandbox2/solver/bin/fo/fo5.sh running for 50s
% 0.21/0.77 % /export/starexec/sandbox2/solver/bin/fo/fo4.sh running for 50s
% 33.31/5.45 % Solved by fo/fo4.sh.
% 33.31/5.45 % done 1612 iterations in 4.651s
% 33.31/5.45 % SZS status Theorem for '/export/starexec/sandbox2/benchmark/theBenchmark.p'
% 33.31/5.45 % SZS output start Refutation
% See solution above
% 33.31/5.45
% 33.31/5.45
% 33.31/5.45 % Terminating...
% 34.05/5.49 % Runner terminated.
% 34.05/5.50 % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------