TSTP Solution File: SWV055+1 by Zipperpin---2.1.9999
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%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : SWV055+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.wgHYIdNHZY true
% Computer : n002.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 00:07:27 EDT 2023
% Result : Theorem 8.74s 1.86s
% Output : Refutation 8.74s
% Verified :
% SZS Type : Refutation
% Derivation depth : 7
% Number of leaves : 28
% Syntax : Number of formulae : 66 ( 14 unt; 22 typ; 0 def)
% Number of atoms : 129 ( 22 equ; 0 cnn)
% Maximal formula atoms : 13 ( 2 avg)
% Number of connectives : 661 ( 56 ~; 48 |; 18 &; 520 @)
% ( 1 <=>; 9 =>; 9 <=; 0 <~>)
% Maximal formula depth : 13 ( 6 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 : 34 ( 0 ^; 34 !; 0 ?; 34 :)
% Comments :
%------------------------------------------------------------------------------
thf(sk__27_type,type,
sk__27: $i ).
thf(pred_type,type,
pred: $i > $i ).
thf(n135300_type,type,
n135300: $i ).
thf(a_select3_type,type,
a_select3: $i > $i > $i > $i ).
thf(minus_type,type,
minus: $i > $i > $i ).
thf(divide_type,type,
divide: $i > $i > $i ).
thf(q_type,type,
q: $i ).
thf(sum_type,type,
sum: $i > $i > $i > $i ).
thf(n1_type,type,
n1: $i ).
thf(leq_type,type,
leq: $i > $i > $o ).
thf(gt_type,type,
gt: $i > $i > $o ).
thf(x_type,type,
x: $i ).
thf(sk__29_type,type,
sk__29: $i ).
thf(sk__30_type,type,
sk__30: $i ).
thf(n5_type,type,
n5: $i ).
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(times_type,type,
times: $i > $i > $i ).
thf(sqrt_type,type,
sqrt: $i > $i ).
thf(center_type,type,
center: $i ).
thf(cl5_nebula_norm_0037,conjecture,
( ( ( leq @ n0 @ pv10 )
& ( leq @ pv10 @ ( minus @ n135300 @ n1 ) )
& ! [A: $i,B: $i] :
( ( ( leq @ n0 @ A )
& ( leq @ A @ ( minus @ pv10 @ n1 ) ) )
=> ( ( sum @ n0 @ ( minus @ n5 @ n1 ) @ ( a_select3 @ q @ A @ B ) )
= n1 ) ) )
=> ( ( leq @ n0 @ pv10 )
& ( leq @ pv10 @ ( minus @ n135300 @ n1 ) )
& ! [C: $i,D: $i] :
( ( ( leq @ n0 @ C )
& ( leq @ C @ ( minus @ n0 @ n1 ) ) )
=> ( ( a_select3 @ q @ pv10 @ C )
= ( divide @ ( sqrt @ ( times @ ( minus @ ( a_select3 @ center @ C @ n0 ) @ ( a_select2 @ x @ pv10 ) ) @ ( minus @ ( a_select3 @ center @ C @ n0 ) @ ( a_select2 @ x @ pv10 ) ) ) ) @ ( sum @ n0 @ ( minus @ n5 @ n1 ) @ ( sqrt @ ( times @ ( minus @ ( a_select3 @ center @ D @ n0 ) @ ( a_select2 @ x @ pv10 ) ) @ ( minus @ ( a_select3 @ center @ D @ n0 ) @ ( a_select2 @ x @ pv10 ) ) ) ) ) ) ) )
& ! [E: $i,F: $i] :
( ( ( leq @ n0 @ E )
& ( leq @ E @ ( minus @ pv10 @ n1 ) ) )
=> ( ( sum @ n0 @ ( minus @ n5 @ n1 ) @ ( a_select3 @ q @ E @ F ) )
= n1 ) ) ) ) ).
thf(zf_stmt_0,negated_conjecture,
~ ( ( ( leq @ n0 @ pv10 )
& ( leq @ pv10 @ ( minus @ n135300 @ n1 ) )
& ! [A: $i,B: $i] :
( ( ( leq @ n0 @ A )
& ( leq @ A @ ( minus @ pv10 @ n1 ) ) )
=> ( ( sum @ n0 @ ( minus @ n5 @ n1 ) @ ( a_select3 @ q @ A @ B ) )
= n1 ) ) )
=> ( ( leq @ n0 @ pv10 )
& ( leq @ pv10 @ ( minus @ n135300 @ n1 ) )
& ! [C: $i,D: $i] :
( ( ( leq @ n0 @ C )
& ( leq @ C @ ( minus @ n0 @ n1 ) ) )
=> ( ( a_select3 @ q @ pv10 @ C )
= ( divide @ ( sqrt @ ( times @ ( minus @ ( a_select3 @ center @ C @ n0 ) @ ( a_select2 @ x @ pv10 ) ) @ ( minus @ ( a_select3 @ center @ C @ n0 ) @ ( a_select2 @ x @ pv10 ) ) ) ) @ ( sum @ n0 @ ( minus @ n5 @ n1 ) @ ( sqrt @ ( times @ ( minus @ ( a_select3 @ center @ D @ n0 ) @ ( a_select2 @ x @ pv10 ) ) @ ( minus @ ( a_select3 @ center @ D @ n0 ) @ ( a_select2 @ x @ pv10 ) ) ) ) ) ) ) )
& ! [E: $i,F: $i] :
( ( ( leq @ n0 @ E )
& ( leq @ E @ ( minus @ pv10 @ n1 ) ) )
=> ( ( sum @ n0 @ ( minus @ n5 @ n1 ) @ ( a_select3 @ q @ E @ F ) )
= n1 ) ) ) ),
inference('cnf.neg',[status(esa)],[cl5_nebula_norm_0037]) ).
thf(zip_derived_cl124,plain,
( ~ ( leq @ n0 @ pv10 )
| ~ ( leq @ pv10 @ ( minus @ n135300 @ n1 ) )
| ( leq @ sk__27 @ ( minus @ n0 @ n1 ) )
| ( ( sum @ n0 @ ( minus @ n5 @ n1 ) @ ( a_select3 @ q @ sk__29 @ sk__30 ) )
!= n1 ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf('0',plain,
( ( ( sum @ n0 @ ( minus @ n5 @ n1 ) @ ( a_select3 @ q @ sk__29 @ sk__30 ) )
!= n1 )
| ( leq @ sk__27 @ ( minus @ n0 @ n1 ) )
| ~ ( leq @ n0 @ pv10 )
| ~ ( leq @ pv10 @ ( minus @ n135300 @ n1 ) ) ),
inference(split,[status(esa)],[zip_derived_cl124]) ).
thf(zip_derived_cl123,plain,
( ~ ( leq @ n0 @ pv10 )
| ~ ( leq @ pv10 @ ( minus @ n135300 @ n1 ) )
| ( leq @ sk__27 @ ( minus @ n0 @ n1 ) )
| ( leq @ n0 @ sk__29 ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf('1',plain,
( ( leq @ n0 @ sk__29 )
| ( leq @ sk__27 @ ( minus @ n0 @ n1 ) )
| ~ ( leq @ n0 @ pv10 )
| ~ ( leq @ pv10 @ ( minus @ n135300 @ n1 ) ) ),
inference(split,[status(esa)],[zip_derived_cl123]) ).
thf(zip_derived_cl125,plain,
( ~ ( leq @ n0 @ pv10 )
| ~ ( leq @ pv10 @ ( minus @ n135300 @ n1 ) )
| ( leq @ n0 @ sk__27 )
| ( leq @ sk__29 @ ( minus @ pv10 @ n1 ) ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf('2',plain,
( ( leq @ sk__29 @ ( minus @ pv10 @ n1 ) )
| ( leq @ n0 @ sk__27 )
| ~ ( leq @ n0 @ pv10 )
| ~ ( leq @ pv10 @ ( minus @ n135300 @ n1 ) ) ),
inference(split,[status(esa)],[zip_derived_cl125]) ).
thf(zip_derived_cl127,plain,
( ~ ( leq @ n0 @ pv10 )
| ~ ( leq @ pv10 @ ( minus @ n135300 @ n1 ) )
| ( leq @ n0 @ sk__27 )
| ( ( sum @ n0 @ ( minus @ n5 @ n1 ) @ ( a_select3 @ q @ sk__29 @ sk__30 ) )
!= n1 ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf('3',plain,
( ( ( sum @ n0 @ ( minus @ n5 @ n1 ) @ ( a_select3 @ q @ sk__29 @ sk__30 ) )
!= n1 )
| ( leq @ n0 @ sk__27 )
| ~ ( leq @ n0 @ pv10 )
| ~ ( leq @ pv10 @ ( minus @ n135300 @ n1 ) ) ),
inference(split,[status(esa)],[zip_derived_cl127]) ).
thf(zip_derived_cl126,plain,
( ~ ( leq @ n0 @ pv10 )
| ~ ( leq @ pv10 @ ( minus @ n135300 @ n1 ) )
| ( leq @ n0 @ sk__27 )
| ( leq @ n0 @ sk__29 ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf('4',plain,
( ( leq @ n0 @ sk__29 )
| ( leq @ n0 @ sk__27 )
| ~ ( leq @ n0 @ pv10 )
| ~ ( leq @ pv10 @ ( minus @ n135300 @ n1 ) ) ),
inference(split,[status(esa)],[zip_derived_cl126]) ).
thf(zip_derived_cl119,plain,
leq @ n0 @ pv10,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl122,plain,
( ~ ( leq @ n0 @ pv10 )
| ~ ( leq @ pv10 @ ( minus @ n135300 @ n1 ) )
| ( leq @ sk__27 @ ( minus @ n0 @ n1 ) )
| ( leq @ sk__29 @ ( minus @ pv10 @ n1 ) ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl173,plain,
( ~ ( leq @ n0 @ pv10 )
<= ~ ( leq @ n0 @ pv10 ) ),
inference(split,[status(esa)],[zip_derived_cl122]) ).
thf('5',plain,
leq @ n0 @ pv10,
inference('s_sup-',[status(thm)],[zip_derived_cl119,zip_derived_cl173]) ).
thf(zip_derived_cl120,plain,
leq @ pv10 @ ( minus @ n135300 @ n1 ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl172,plain,
( ~ ( leq @ pv10 @ ( minus @ n135300 @ n1 ) )
<= ~ ( leq @ pv10 @ ( minus @ n135300 @ n1 ) ) ),
inference(split,[status(esa)],[zip_derived_cl122]) ).
thf('6',plain,
leq @ pv10 @ ( minus @ n135300 @ n1 ),
inference('s_sup-',[status(thm)],[zip_derived_cl120,zip_derived_cl172]) ).
thf(succ_pred,axiom,
! [X: $i] :
( ( succ @ ( pred @ X ) )
= X ) ).
thf(zip_derived_cl100,plain,
! [X0: $i] :
( ( succ @ ( pred @ X0 ) )
= X0 ),
inference(cnf,[status(esa)],[succ_pred]) ).
thf(pred_minus_1,axiom,
! [X: $i] :
( ( minus @ X @ n1 )
= ( pred @ X ) ) ).
thf(zip_derived_cl98,plain,
! [X0: $i] :
( ( minus @ X0 @ n1 )
= ( pred @ X0 ) ),
inference(cnf,[status(esa)],[pred_minus_1]) ).
thf(zip_derived_cl5731,plain,
! [X0: $i] :
( ( succ @ ( minus @ X0 @ n1 ) )
= X0 ),
inference(demod,[status(thm)],[zip_derived_cl100,zip_derived_cl98]) ).
thf(leq_succ_gt_equiv,axiom,
! [X: $i,Y: $i] :
( ( leq @ X @ Y )
<=> ( gt @ ( succ @ Y ) @ X ) ) ).
thf(zip_derived_cl15,plain,
! [X0: $i,X1: $i] :
( ( gt @ ( succ @ X0 ) @ X1 )
| ~ ( leq @ X1 @ X0 ) ),
inference(cnf,[status(esa)],[leq_succ_gt_equiv]) ).
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_cl451,plain,
! [X0: $i] :
~ ( leq @ ( succ @ X0 ) @ X0 ),
inference('s_sup-',[status(thm)],[zip_derived_cl15,zip_derived_cl2]) ).
thf(zip_derived_cl5735,plain,
! [X0: $i] :
~ ( leq @ X0 @ ( minus @ X0 @ n1 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl5731,zip_derived_cl451]) ).
thf(zip_derived_cl182,plain,
( ( leq @ n0 @ sk__27 )
<= ( leq @ n0 @ sk__27 ) ),
inference(split,[status(esa)],[zip_derived_cl125]) ).
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_cl223,plain,
( ! [X0: $i] :
( ~ ( leq @ sk__27 @ X0 )
| ( leq @ n0 @ X0 ) )
<= ( leq @ n0 @ sk__27 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl182,zip_derived_cl4]) ).
thf(zip_derived_cl171,plain,
( ( leq @ sk__27 @ ( minus @ n0 @ n1 ) )
<= ( leq @ sk__27 @ ( minus @ n0 @ n1 ) ) ),
inference(split,[status(esa)],[zip_derived_cl122]) ).
thf(zip_derived_cl232,plain,
( ( leq @ n0 @ ( minus @ n0 @ n1 ) )
<= ( ( leq @ sk__27 @ ( minus @ n0 @ n1 ) )
& ( leq @ n0 @ sk__27 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl223,zip_derived_cl171]) ).
thf('7',plain,
( ~ ( leq @ sk__27 @ ( minus @ n0 @ n1 ) )
| ~ ( leq @ n0 @ sk__27 ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl5735,zip_derived_cl232]) ).
thf('8',plain,
( ( leq @ sk__29 @ ( minus @ pv10 @ n1 ) )
| ( leq @ sk__27 @ ( minus @ n0 @ n1 ) )
| ~ ( leq @ n0 @ pv10 )
| ~ ( leq @ pv10 @ ( minus @ n135300 @ n1 ) ) ),
inference(split,[status(esa)],[zip_derived_cl122]) ).
thf(zip_derived_cl121,plain,
! [X0: $i,X1: $i] :
( ~ ( leq @ X0 @ ( minus @ pv10 @ n1 ) )
| ~ ( leq @ n0 @ X0 )
| ( ( sum @ n0 @ ( minus @ n5 @ n1 ) @ ( a_select3 @ q @ X0 @ X1 ) )
= n1 ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl178,plain,
( ( ( sum @ n0 @ ( minus @ n5 @ n1 ) @ ( a_select3 @ q @ sk__29 @ sk__30 ) )
!= n1 )
<= ( ( sum @ n0 @ ( minus @ n5 @ n1 ) @ ( a_select3 @ q @ sk__29 @ sk__30 ) )
!= n1 ) ),
inference(split,[status(esa)],[zip_derived_cl124]) ).
thf(zip_derived_cl9190,plain,
( ( ~ ( leq @ n0 @ sk__29 )
| ~ ( leq @ sk__29 @ ( minus @ pv10 @ n1 ) )
| ( n1 != n1 ) )
<= ( ( sum @ n0 @ ( minus @ n5 @ n1 ) @ ( a_select3 @ q @ sk__29 @ sk__30 ) )
!= n1 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl121,zip_derived_cl178]) ).
thf(zip_derived_cl9193,plain,
( ( ~ ( leq @ sk__29 @ ( minus @ pv10 @ n1 ) )
| ~ ( leq @ n0 @ sk__29 ) )
<= ( ( sum @ n0 @ ( minus @ n5 @ n1 ) @ ( a_select3 @ q @ sk__29 @ sk__30 ) )
!= n1 ) ),
inference(simplify,[status(thm)],[zip_derived_cl9190]) ).
thf('9',plain,
( ~ ( leq @ sk__29 @ ( minus @ pv10 @ n1 ) )
| ~ ( leq @ n0 @ sk__29 )
| ( ( sum @ n0 @ ( minus @ n5 @ n1 ) @ ( a_select3 @ q @ sk__29 @ sk__30 ) )
= n1 ) ),
inference(split,[status(esa)],[zip_derived_cl9193]) ).
thf(zip_derived_cl9204,plain,
$false,
inference('sat_resolution*',[status(thm)],['0','1','2','3','4','5','6','7','8','9']) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : SWV055+1 : TPTP v8.1.2. Bugfixed v3.3.0.
% 0.07/0.13 % Command : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.wgHYIdNHZY true
% 0.14/0.34 % Computer : n002.cluster.edu
% 0.14/0.34 % Model : x86_64 x86_64
% 0.14/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.34 % Memory : 8042.1875MB
% 0.14/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.34 % CPULimit : 300
% 0.14/0.34 % WCLimit : 300
% 0.14/0.34 % DateTime : Tue Aug 29 06:59:05 EDT 2023
% 0.14/0.35 % CPUTime :
% 0.14/0.35 % Running portfolio for 300 s
% 0.14/0.35 % File : /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.14/0.35 % Number of cores: 8
% 0.19/0.35 % Python version: Python 3.6.8
% 0.19/0.35 % Running in FO mode
% 0.20/0.62 % Total configuration time : 435
% 0.20/0.62 % Estimated wc time : 1092
% 0.20/0.62 % Estimated cpu time (7 cpus) : 156.0
% 0.20/0.70 % /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
% 0.20/0.71 % /export/starexec/sandbox/solver/bin/fo/fo1_av.sh running for 75s
% 0.20/0.73 % /export/starexec/sandbox/solver/bin/fo/fo7.sh running for 63s
% 0.20/0.73 % /export/starexec/sandbox/solver/bin/fo/fo13.sh running for 50s
% 1.19/0.74 % /export/starexec/sandbox/solver/bin/fo/fo5.sh running for 50s
% 1.29/0.75 % /export/starexec/sandbox/solver/bin/fo/fo4.sh running for 50s
% 8.74/1.86 % Solved by fo/fo1_av.sh.
% 8.74/1.86 % done 1220 iterations in 1.127s
% 8.74/1.86 % SZS status Theorem for '/export/starexec/sandbox/benchmark/theBenchmark.p'
% 8.74/1.86 % SZS output start Refutation
% See solution above
% 8.74/1.86
% 8.74/1.86
% 8.74/1.86 % Terminating...
% 9.36/1.95 % Runner terminated.
% 9.36/1.96 % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------