TSTP Solution File: SWV163+1 by Zipperpin---2.1.9999
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%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : SWV163+1 : TPTP v8.1.2. Bugfixed v3.3.0.
% Transfm : NO INFORMATION
% Format : NO INFORMATION
% Command : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.3I7jcF8t48 true
% Computer : n004.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 00:08:08 EDT 2023
% Result : Theorem 1.34s 0.81s
% Output : Refutation 1.34s
% Verified :
% SZS Type : Refutation
% Derivation depth : 7
% Number of leaves : 28
% Syntax : Number of formulae : 43 ( 11 unt; 22 typ; 0 def)
% Number of atoms : 46 ( 11 equ; 0 cnn)
% Maximal formula atoms : 8 ( 2 avg)
% Number of connectives : 206 ( 10 ~; 7 |; 9 &; 171 @)
% ( 1 <=>; 8 =>; 0 <=; 0 <~>)
% Maximal formula depth : 10 ( 5 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 21 ( 21 >; 0 *; 0 +; 0 <<)
% Number of symbols : 24 ( 22 usr; 12 con; 0-3 aty)
% Number of variables : 17 ( 0 ^; 17 !; 0 ?; 17 :)
% Comments :
%------------------------------------------------------------------------------
thf(sqrt_type,type,
sqrt: $i > $i ).
thf(pred_type,type,
pred: $i > $i ).
thf(n135299_type,type,
n135299: $i ).
thf(tptp_minus_1_type,type,
tptp_minus_1: $i ).
thf(a_select3_type,type,
a_select3: $i > $i > $i > $i ).
thf(minus_type,type,
minus: $i > $i > $i ).
thf(tptp_sum_index_type,type,
tptp_sum_index: $i ).
thf(sum_type,type,
sum: $i > $i > $i > $i ).
thf(n1_type,type,
n1: $i ).
thf(times_type,type,
times: $i > $i > $i ).
thf(leq_type,type,
leq: $i > $i > $o ).
thf(gt_type,type,
gt: $i > $i > $o ).
thf(n0_type,type,
n0: $i ).
thf(a_select2_type,type,
a_select2: $i > $i > $i ).
thf(pv10_type,type,
pv10: $i ).
thf(succ_type,type,
succ: $i > $i ).
thf(q_type,type,
q: $i ).
thf(divide_type,type,
divide: $i > $i > $i ).
thf(center_type,type,
center: $i ).
thf(sk__17_type,type,
sk__17: $i ).
thf(x_type,type,
x: $i ).
thf(n4_type,type,
n4: $i ).
thf(cl5_nebula_norm_0013,conjecture,
( ( ( leq @ n0 @ pv10 )
& ( leq @ pv10 @ n135299 )
& ! [A: $i] :
( ( ( leq @ n0 @ A )
& ( leq @ A @ ( pred @ pv10 ) ) )
=> ( ( sum @ n0 @ n4 @ ( a_select3 @ q @ A @ tptp_sum_index ) )
= n1 ) ) )
=> ! [B: $i] :
( ( ( leq @ n0 @ B )
& ( leq @ B @ tptp_minus_1 ) )
=> ( ( a_select3 @ q @ pv10 @ B )
= ( divide @ ( sqrt @ ( times @ ( minus @ ( a_select3 @ center @ B @ n0 ) @ ( a_select2 @ x @ pv10 ) ) @ ( minus @ ( a_select3 @ center @ B @ n0 ) @ ( a_select2 @ x @ pv10 ) ) ) ) @ ( sum @ n0 @ n4 @ ( sqrt @ ( times @ ( minus @ ( a_select3 @ center @ tptp_sum_index @ n0 ) @ ( a_select2 @ x @ pv10 ) ) @ ( minus @ ( a_select3 @ center @ tptp_sum_index @ n0 ) @ ( a_select2 @ x @ pv10 ) ) ) ) ) ) ) ) ) ).
thf(zf_stmt_0,negated_conjecture,
~ ( ( ( leq @ n0 @ pv10 )
& ( leq @ pv10 @ n135299 )
& ! [A: $i] :
( ( ( leq @ n0 @ A )
& ( leq @ A @ ( pred @ pv10 ) ) )
=> ( ( sum @ n0 @ n4 @ ( a_select3 @ q @ A @ tptp_sum_index ) )
= n1 ) ) )
=> ! [B: $i] :
( ( ( leq @ n0 @ B )
& ( leq @ B @ tptp_minus_1 ) )
=> ( ( a_select3 @ q @ pv10 @ B )
= ( divide @ ( sqrt @ ( times @ ( minus @ ( a_select3 @ center @ B @ n0 ) @ ( a_select2 @ x @ pv10 ) ) @ ( minus @ ( a_select3 @ center @ B @ n0 ) @ ( a_select2 @ x @ pv10 ) ) ) ) @ ( sum @ n0 @ n4 @ ( sqrt @ ( times @ ( minus @ ( a_select3 @ center @ tptp_sum_index @ n0 ) @ ( a_select2 @ x @ pv10 ) ) @ ( minus @ ( a_select3 @ center @ tptp_sum_index @ n0 ) @ ( a_select2 @ x @ pv10 ) ) ) ) ) ) ) ) ),
inference('cnf.neg',[status(esa)],[cl5_nebula_norm_0013]) ).
thf(zip_derived_cl121,plain,
leq @ sk__17 @ tptp_minus_1,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(leq_succ_gt_equiv,axiom,
! [X: $i,Y: $i] :
( ( leq @ X @ Y )
<=> ( gt @ ( succ @ Y ) @ X ) ) ).
thf(zip_derived_cl11,plain,
! [X0: $i,X1: $i] :
( ( gt @ ( succ @ X0 ) @ X1 )
| ~ ( leq @ X1 @ X0 ) ),
inference(cnf,[status(esa)],[leq_succ_gt_equiv]) ).
thf(zip_derived_cl208,plain,
gt @ ( succ @ tptp_minus_1 ) @ sk__17,
inference('sup-',[status(thm)],[zip_derived_cl121,zip_derived_cl11]) ).
thf(succ_tptp_minus_1,axiom,
( ( succ @ tptp_minus_1 )
= n0 ) ).
thf(zip_derived_cl48,plain,
( ( succ @ tptp_minus_1 )
= n0 ),
inference(cnf,[status(esa)],[succ_tptp_minus_1]) ).
thf(zip_derived_cl209,plain,
gt @ n0 @ sk__17,
inference(demod,[status(thm)],[zip_derived_cl208,zip_derived_cl48]) ).
thf(zip_derived_cl209_001,plain,
gt @ n0 @ sk__17,
inference(demod,[status(thm)],[zip_derived_cl208,zip_derived_cl48]) ).
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(finite_domain_0,axiom,
! [X: $i] :
( ( ( leq @ n0 @ X )
& ( leq @ X @ n0 ) )
=> ( X = n0 ) ) ).
thf(zip_derived_cl108,plain,
! [X0: $i] :
( ( X0 = n0 )
| ~ ( leq @ X0 @ n0 )
| ~ ( leq @ n0 @ X0 ) ),
inference(cnf,[status(esa)],[finite_domain_0]) ).
thf(zip_derived_cl193,plain,
! [X0: $i] :
( ~ ( gt @ n0 @ X0 )
| ~ ( leq @ n0 @ X0 )
| ( X0 = n0 ) ),
inference('sup-',[status(thm)],[zip_derived_cl5,zip_derived_cl108]) ).
thf(zip_derived_cl242,plain,
( ( sk__17 = n0 )
| ~ ( leq @ n0 @ sk__17 ) ),
inference('sup-',[status(thm)],[zip_derived_cl209,zip_derived_cl193]) ).
thf(zip_derived_cl122,plain,
leq @ n0 @ sk__17,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl243,plain,
sk__17 = n0,
inference(demod,[status(thm)],[zip_derived_cl242,zip_derived_cl122]) ).
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_cl279,plain,
$false,
inference(demod,[status(thm)],[zip_derived_cl209,zip_derived_cl243,zip_derived_cl2]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.13/0.14 % Problem : SWV163+1 : TPTP v8.1.2. Bugfixed v3.3.0.
% 0.13/0.15 % Command : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.3I7jcF8t48 true
% 0.15/0.36 % Computer : n004.cluster.edu
% 0.15/0.36 % Model : x86_64 x86_64
% 0.15/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.36 % Memory : 8042.1875MB
% 0.15/0.36 % OS : Linux 3.10.0-693.el7.x86_64
% 0.15/0.36 % CPULimit : 300
% 0.15/0.36 % WCLimit : 300
% 0.15/0.36 % DateTime : Tue Aug 29 03:32:37 EDT 2023
% 0.15/0.36 % CPUTime :
% 0.15/0.36 % Running portfolio for 300 s
% 0.15/0.36 % File : /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.15/0.36 % Number of cores: 8
% 0.22/0.36 % Python version: Python 3.6.8
% 0.22/0.37 % Running in FO mode
% 0.22/0.64 % Total configuration time : 435
% 0.22/0.64 % Estimated wc time : 1092
% 0.22/0.64 % Estimated cpu time (7 cpus) : 156.0
% 0.22/0.72 % /export/starexec/sandbox2/solver/bin/fo/fo6_bce.sh running for 75s
% 0.22/0.72 % /export/starexec/sandbox2/solver/bin/fo/fo3_bce.sh running for 75s
% 0.99/0.74 % /export/starexec/sandbox2/solver/bin/fo/fo1_av.sh running for 75s
% 1.31/0.74 % /export/starexec/sandbox2/solver/bin/fo/fo7.sh running for 63s
% 1.31/0.75 % /export/starexec/sandbox2/solver/bin/fo/fo13.sh running for 50s
% 1.31/0.75 % /export/starexec/sandbox2/solver/bin/fo/fo5.sh running for 50s
% 1.31/0.75 % /export/starexec/sandbox2/solver/bin/fo/fo4.sh running for 50s
% 1.34/0.81 % Solved by fo/fo7.sh.
% 1.34/0.81 % done 95 iterations in 0.044s
% 1.34/0.81 % SZS status Theorem for '/export/starexec/sandbox2/benchmark/theBenchmark.p'
% 1.34/0.81 % SZS output start Refutation
% See solution above
% 1.34/0.81
% 1.34/0.81
% 1.34/0.81 % Terminating...
% 1.82/0.84 % Runner terminated.
% 1.82/0.85 % Zipperpin 1.5 exiting
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