TSTP Solution File: SWV221+1 by Zipperpin---2.1.9999
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%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : SWV221+1 : TPTP v8.1.2. Bugfixed v3.3.0.
% Transfm : NO INFORMATION
% Format : NO INFORMATION
% Command : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.wFFc0uDBIh true
% Computer : n001.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 : Fri Sep 1 00:08:22 EDT 2023
% Result : Theorem 4.25s 1.26s
% Output : Refutation 4.25s
% Verified :
% SZS Type : Refutation
% Derivation depth : 10
% Number of leaves : 24
% Syntax : Number of formulae : 59 ( 18 unt; 17 typ; 0 def)
% Number of atoms : 170 ( 30 equ; 0 cnn)
% Maximal formula atoms : 47 ( 4 avg)
% Number of connectives : 564 ( 40 ~; 30 |; 68 &; 396 @)
% ( 1 <=>; 29 =>; 0 <=; 0 <~>)
% Maximal formula depth : 22 ( 6 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 8 ( 8 >; 0 *; 0 +; 0 <<)
% Number of symbols : 19 ( 17 usr; 14 con; 0-3 aty)
% Number of variables : 66 ( 0 ^; 66 !; 0 ?; 66 :)
% Comments :
%------------------------------------------------------------------------------
thf(pred_type,type,
pred: $i > $i ).
thf(pv57_type,type,
pv57: $i ).
thf(pminus_ds1_filter_type,type,
pminus_ds1_filter: $i ).
thf(a_select3_type,type,
a_select3: $i > $i > $i > $i ).
thf(q_ds1_filter_type,type,
q_ds1_filter: $i ).
thf(n2_type,type,
n2: $i ).
thf(sk__16_type,type,
sk__16: $i ).
thf(id_ds1_filter_type,type,
id_ds1_filter: $i ).
thf(sk__17_type,type,
sk__17: $i ).
thf(leq_type,type,
leq: $i > $i > $o ).
thf(gt_type,type,
gt: $i > $i > $o ).
thf(n998_type,type,
n998: $i ).
thf(n5_type,type,
n5: $i ).
thf(n0_type,type,
n0: $i ).
thf(pv5_type,type,
pv5: $i ).
thf(pv58_type,type,
pv58: $i ).
thf(r_ds1_filter_type,type,
r_ds1_filter: $i ).
thf(leq_gt_pred,axiom,
! [X: $i,Y: $i] :
( ( leq @ X @ ( pred @ Y ) )
<=> ( gt @ Y @ X ) ) ).
thf(zip_derived_cl7,plain,
! [X0: $i,X1: $i] :
( ( gt @ X0 @ X1 )
| ~ ( leq @ X1 @ ( pred @ X0 ) ) ),
inference(cnf,[status(esa)],[leq_gt_pred]) ).
thf(quaternion_ds1_symm_0401,conjecture,
( ( ( leq @ n0 @ pv5 )
& ( leq @ n0 @ pv57 )
& ( leq @ pv5 @ n998 )
& ( leq @ pv57 @ n5 )
& ( leq @ pv58 @ n5 )
& ( gt @ pv58 @ pv57 )
& ! [A: $i,B: $i] :
( ( ( leq @ n0 @ A )
& ( leq @ n0 @ B )
& ( leq @ A @ n5 )
& ( leq @ B @ n5 ) )
=> ( ( a_select3 @ q_ds1_filter @ A @ B )
= ( a_select3 @ q_ds1_filter @ B @ A ) ) )
& ! [C: $i,D: $i] :
( ( ( leq @ n0 @ C )
& ( leq @ n0 @ D )
& ( leq @ C @ n2 )
& ( leq @ D @ n2 ) )
=> ( ( a_select3 @ r_ds1_filter @ C @ D )
= ( a_select3 @ r_ds1_filter @ D @ C ) ) )
& ! [E: $i,F: $i] :
( ( ( leq @ n0 @ E )
& ( leq @ n0 @ F )
& ( leq @ E @ n5 )
& ( leq @ F @ n5 ) )
=> ( ( a_select3 @ pminus_ds1_filter @ E @ F )
= ( a_select3 @ pminus_ds1_filter @ F @ E ) ) )
& ! [G: $i,H: $i] :
( ( ( leq @ n0 @ G )
& ( leq @ n0 @ H )
& ( leq @ G @ n5 )
& ( leq @ H @ n5 ) )
=> ( ( ( G = pv57 )
& ( gt @ pv58 @ H ) )
=> ( ( a_select3 @ id_ds1_filter @ G @ H )
= ( a_select3 @ id_ds1_filter @ H @ G ) ) ) )
& ! [I: $i,J: $i] :
( ( ( leq @ n0 @ I )
& ( leq @ n0 @ J )
& ( leq @ I @ n5 )
& ( leq @ J @ n5 ) )
=> ( ( gt @ pv57 @ I )
=> ( ( a_select3 @ id_ds1_filter @ I @ J )
= ( a_select3 @ id_ds1_filter @ J @ I ) ) ) )
& ! [K: $i] :
( ( ( leq @ n0 @ K )
& ( leq @ K @ ( pred @ pv57 ) ) )
=> ! [L: $i] :
( ( ( leq @ n0 @ L )
& ( leq @ L @ n5 ) )
=> ( ( a_select3 @ id_ds1_filter @ K @ L )
= ( a_select3 @ id_ds1_filter @ L @ K ) ) ) ) )
=> ! [M: $i] :
( ( ( leq @ n0 @ M )
& ( leq @ M @ ( pred @ pv57 ) ) )
=> ! [N: $i] :
( ( ( leq @ n0 @ N )
& ( leq @ N @ n5 ) )
=> ( ( ~ ( ( pv57 = N )
& ( N = M ) )
& ( pv57 != M ) )
=> ( ( a_select3 @ id_ds1_filter @ M @ N )
= ( a_select3 @ id_ds1_filter @ N @ M ) ) ) ) ) ) ).
thf(zf_stmt_0,negated_conjecture,
~ ( ( ( leq @ n0 @ pv5 )
& ( leq @ n0 @ pv57 )
& ( leq @ pv5 @ n998 )
& ( leq @ pv57 @ n5 )
& ( leq @ pv58 @ n5 )
& ( gt @ pv58 @ pv57 )
& ! [A: $i,B: $i] :
( ( ( leq @ n0 @ A )
& ( leq @ n0 @ B )
& ( leq @ A @ n5 )
& ( leq @ B @ n5 ) )
=> ( ( a_select3 @ q_ds1_filter @ A @ B )
= ( a_select3 @ q_ds1_filter @ B @ A ) ) )
& ! [C: $i,D: $i] :
( ( ( leq @ n0 @ C )
& ( leq @ n0 @ D )
& ( leq @ C @ n2 )
& ( leq @ D @ n2 ) )
=> ( ( a_select3 @ r_ds1_filter @ C @ D )
= ( a_select3 @ r_ds1_filter @ D @ C ) ) )
& ! [E: $i,F: $i] :
( ( ( leq @ n0 @ E )
& ( leq @ n0 @ F )
& ( leq @ E @ n5 )
& ( leq @ F @ n5 ) )
=> ( ( a_select3 @ pminus_ds1_filter @ E @ F )
= ( a_select3 @ pminus_ds1_filter @ F @ E ) ) )
& ! [G: $i,H: $i] :
( ( ( leq @ n0 @ G )
& ( leq @ n0 @ H )
& ( leq @ G @ n5 )
& ( leq @ H @ n5 ) )
=> ( ( ( G = pv57 )
& ( gt @ pv58 @ H ) )
=> ( ( a_select3 @ id_ds1_filter @ G @ H )
= ( a_select3 @ id_ds1_filter @ H @ G ) ) ) )
& ! [I: $i,J: $i] :
( ( ( leq @ n0 @ I )
& ( leq @ n0 @ J )
& ( leq @ I @ n5 )
& ( leq @ J @ n5 ) )
=> ( ( gt @ pv57 @ I )
=> ( ( a_select3 @ id_ds1_filter @ I @ J )
= ( a_select3 @ id_ds1_filter @ J @ I ) ) ) )
& ! [K: $i] :
( ( ( leq @ n0 @ K )
& ( leq @ K @ ( pred @ pv57 ) ) )
=> ! [L: $i] :
( ( ( leq @ n0 @ L )
& ( leq @ L @ n5 ) )
=> ( ( a_select3 @ id_ds1_filter @ K @ L )
= ( a_select3 @ id_ds1_filter @ L @ K ) ) ) ) )
=> ! [M: $i] :
( ( ( leq @ n0 @ M )
& ( leq @ M @ ( pred @ pv57 ) ) )
=> ! [N: $i] :
( ( ( leq @ n0 @ N )
& ( leq @ N @ n5 ) )
=> ( ( ~ ( ( pv57 = N )
& ( N = M ) )
& ( pv57 != M ) )
=> ( ( a_select3 @ id_ds1_filter @ M @ N )
= ( a_select3 @ id_ds1_filter @ N @ M ) ) ) ) ) ),
inference('cnf.neg',[status(esa)],[quaternion_ds1_symm_0401]) ).
thf(zip_derived_cl127,plain,
leq @ sk__16 @ ( pred @ pv57 ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl793,plain,
gt @ pv57 @ sk__16,
inference('sup+',[status(thm)],[zip_derived_cl7,zip_derived_cl127]) ).
thf(zip_derived_cl120,plain,
! [X8: $i,X9: $i] :
( ~ ( gt @ pv57 @ X8 )
| ~ ( leq @ X8 @ n5 )
| ~ ( leq @ n0 @ X8 )
| ~ ( leq @ n0 @ X9 )
| ~ ( leq @ X9 @ n5 )
| ( ( a_select3 @ id_ds1_filter @ X8 @ X9 )
= ( a_select3 @ id_ds1_filter @ X9 @ X8 ) ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl124,plain,
( ( a_select3 @ id_ds1_filter @ sk__16 @ sk__17 )
!= ( a_select3 @ id_ds1_filter @ sk__17 @ sk__16 ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl4364,plain,
( ( ( a_select3 @ id_ds1_filter @ sk__16 @ sk__17 )
!= ( a_select3 @ id_ds1_filter @ sk__16 @ sk__17 ) )
| ~ ( leq @ sk__17 @ n5 )
| ~ ( leq @ n0 @ sk__17 )
| ~ ( leq @ n0 @ sk__16 )
| ~ ( leq @ sk__16 @ n5 )
| ~ ( gt @ pv57 @ sk__16 ) ),
inference('sup-',[status(thm)],[zip_derived_cl120,zip_derived_cl124]) ).
thf(zip_derived_cl123,plain,
leq @ sk__17 @ n5,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl122,plain,
leq @ n0 @ sk__17,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl128,plain,
leq @ n0 @ sk__16,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl793_001,plain,
gt @ pv57 @ sk__16,
inference('sup+',[status(thm)],[zip_derived_cl7,zip_derived_cl127]) ).
thf(zip_derived_cl4367,plain,
( ( ( a_select3 @ id_ds1_filter @ sk__16 @ sk__17 )
!= ( a_select3 @ id_ds1_filter @ sk__16 @ sk__17 ) )
| ~ ( leq @ sk__16 @ n5 ) ),
inference(demod,[status(thm)],[zip_derived_cl4364,zip_derived_cl123,zip_derived_cl122,zip_derived_cl128,zip_derived_cl793]) ).
thf(zip_derived_cl4368,plain,
~ ( leq @ sk__16 @ n5 ),
inference(simplify,[status(thm)],[zip_derived_cl4367]) ).
thf(leq_gt1,axiom,
! [X: $i,Y: $i] :
( ( gt @ Y @ X )
=> ( leq @ X @ Y ) ) ).
thf(zip_derived_cl5,plain,
! [X0: $i,X1: $i] :
( ( leq @ X0 @ X1 )
| ~ ( gt @ X1 @ X0 ) ),
inference(cnf,[status(esa)],[leq_gt1]) ).
thf(zip_derived_cl4371,plain,
~ ( gt @ n5 @ sk__16 ),
inference('sup+',[status(thm)],[zip_derived_cl4368,zip_derived_cl5]) ).
thf(zip_derived_cl793_002,plain,
gt @ pv57 @ sk__16,
inference('sup+',[status(thm)],[zip_derived_cl7,zip_derived_cl127]) ).
thf(transitivity_gt,axiom,
! [X: $i,Y: $i,Z: $i] :
( ( ( gt @ X @ Y )
& ( gt @ Y @ Z ) )
=> ( gt @ X @ Z ) ) ).
thf(zip_derived_cl1,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ ( gt @ X0 @ X1 )
| ~ ( gt @ X1 @ X2 )
| ( gt @ X0 @ X2 ) ),
inference(cnf,[status(esa)],[transitivity_gt]) ).
thf(zip_derived_cl797,plain,
! [X0: $i] :
( ( gt @ pv57 @ X0 )
| ~ ( gt @ sk__16 @ X0 ) ),
inference('sup-',[status(thm)],[zip_derived_cl793,zip_derived_cl1]) ).
thf(zip_derived_cl113,plain,
leq @ pv57 @ n5,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(transitivity_leq,axiom,
! [X: $i,Y: $i,Z: $i] :
( ( ( leq @ X @ Y )
& ( leq @ Y @ Z ) )
=> ( leq @ X @ Z ) ) ).
thf(zip_derived_cl4,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ ( leq @ X0 @ X1 )
| ~ ( leq @ X1 @ X2 )
| ( leq @ X0 @ X2 ) ),
inference(cnf,[status(esa)],[transitivity_leq]) ).
thf(zip_derived_cl731,plain,
! [X0: $i] :
( ( leq @ pv57 @ X0 )
| ~ ( leq @ n5 @ X0 ) ),
inference('sup-',[status(thm)],[zip_derived_cl113,zip_derived_cl4]) ).
thf(zip_derived_cl7_003,plain,
! [X0: $i,X1: $i] :
( ( gt @ X0 @ X1 )
| ~ ( leq @ X1 @ ( pred @ X0 ) ) ),
inference(cnf,[status(esa)],[leq_gt_pred]) ).
thf(zip_derived_cl1023,plain,
! [X0: $i] :
( ~ ( leq @ n5 @ ( pred @ X0 ) )
| ( gt @ X0 @ pv57 ) ),
inference('sup-',[status(thm)],[zip_derived_cl731,zip_derived_cl7]) ).
thf(zip_derived_cl8,plain,
! [X0: $i,X1: $i] :
( ( leq @ X0 @ ( pred @ X1 ) )
| ~ ( gt @ X1 @ X0 ) ),
inference(cnf,[status(esa)],[leq_gt_pred]) ).
thf(zip_derived_cl1531,plain,
! [X0: $i] :
( ( gt @ X0 @ pv57 )
| ~ ( gt @ X0 @ n5 ) ),
inference('sup+',[status(thm)],[zip_derived_cl1023,zip_derived_cl8]) ).
thf(zip_derived_cl2151,plain,
( ( gt @ pv57 @ pv57 )
| ~ ( gt @ sk__16 @ n5 ) ),
inference('sup+',[status(thm)],[zip_derived_cl797,zip_derived_cl1531]) ).
thf(irreflexivity_gt,axiom,
! [X: $i] :
~ ( gt @ X @ X ) ).
thf(zip_derived_cl2,plain,
! [X0: $i] :
~ ( gt @ X0 @ X0 ),
inference(cnf,[status(esa)],[irreflexivity_gt]) ).
thf(zip_derived_cl2152,plain,
~ ( gt @ sk__16 @ n5 ),
inference(demod,[status(thm)],[zip_derived_cl2151,zip_derived_cl2]) ).
thf(totality,axiom,
! [X: $i,Y: $i] :
( ( X = Y )
| ( gt @ Y @ X )
| ( gt @ X @ Y ) ) ).
thf(zip_derived_cl0,plain,
! [X0: $i,X1: $i] :
( ( X1 = X0 )
| ( gt @ X0 @ X1 )
| ( gt @ X1 @ X0 ) ),
inference(cnf,[status(esa)],[totality]) ).
thf(zip_derived_cl2210,plain,
( ( gt @ n5 @ sk__16 )
| ( n5 = sk__16 ) ),
inference('sup+',[status(thm)],[zip_derived_cl2152,zip_derived_cl0]) ).
thf(zip_derived_cl4375,plain,
n5 = sk__16,
inference('sup+',[status(thm)],[zip_derived_cl4371,zip_derived_cl2210]) ).
thf(zip_derived_cl1531_004,plain,
! [X0: $i] :
( ( gt @ X0 @ pv57 )
| ~ ( gt @ X0 @ n5 ) ),
inference('sup+',[status(thm)],[zip_derived_cl1023,zip_derived_cl8]) ).
thf(zip_derived_cl2_005,plain,
! [X0: $i] :
~ ( gt @ X0 @ X0 ),
inference(cnf,[status(esa)],[irreflexivity_gt]) ).
thf(zip_derived_cl2142,plain,
~ ( gt @ pv57 @ n5 ),
inference('sup-',[status(thm)],[zip_derived_cl1531,zip_derived_cl2]) ).
thf(zip_derived_cl4388,plain,
$false,
inference(demod,[status(thm)],[zip_derived_cl793,zip_derived_cl4375,zip_derived_cl2142]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : SWV221+1 : TPTP v8.1.2. Bugfixed v3.3.0.
% 0.00/0.13 % Command : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.wFFc0uDBIh true
% 0.17/0.34 % Computer : n001.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
% 0.17/0.34 % CPULimit : 300
% 0.17/0.34 % WCLimit : 300
% 0.17/0.34 % DateTime : Tue Aug 29 08:37:06 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
% 0.20/0.65 % Total configuration time : 435
% 0.20/0.65 % Estimated wc time : 1092
% 0.20/0.65 % Estimated cpu time (7 cpus) : 156.0
% 0.20/0.69 % /export/starexec/sandbox/solver/bin/fo/fo6_bce.sh running for 75s
% 0.20/0.71 % /export/starexec/sandbox/solver/bin/fo/fo3_bce.sh running for 75s
% 0.20/0.72 % /export/starexec/sandbox/solver/bin/fo/fo1_av.sh running for 75s
% 0.20/0.74 % /export/starexec/sandbox/solver/bin/fo/fo7.sh running for 63s
% 0.20/0.74 % /export/starexec/sandbox/solver/bin/fo/fo13.sh running for 50s
% 0.20/0.75 % /export/starexec/sandbox/solver/bin/fo/fo5.sh running for 50s
% 0.20/0.75 % /export/starexec/sandbox/solver/bin/fo/fo4.sh running for 50s
% 4.25/1.26 % Solved by fo/fo3_bce.sh.
% 4.25/1.26 % BCE start: 129
% 4.25/1.26 % BCE eliminated: 0
% 4.25/1.26 % PE start: 129
% 4.25/1.26 logic: eq
% 4.25/1.26 % PE eliminated: 3
% 4.25/1.26 % done 681 iterations in 0.526s
% 4.25/1.26 % SZS status Theorem for '/export/starexec/sandbox/benchmark/theBenchmark.p'
% 4.25/1.26 % SZS output start Refutation
% See solution above
% 4.25/1.26
% 4.25/1.26
% 4.25/1.26 % Terminating...
% 5.32/1.35 % Runner terminated.
% 5.32/1.36 % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------