TSTP Solution File: SWV053+1 by Zipperpin---2.1.9999
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%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : SWV053+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.ZHhE0s0ury true
% Computer : n022.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 23.54s 4.01s
% Output : Refutation 23.54s
% Verified :
% SZS Type : Refutation
% Derivation depth : 16
% Number of leaves : 36
% Syntax : Number of formulae : 171 ( 93 unt; 27 typ; 0 def)
% Number of atoms : 310 ( 110 equ; 0 cnn)
% Maximal formula atoms : 21 ( 2 avg)
% Number of connectives : 2331 ( 124 ~; 126 |; 30 &;2041 @)
% ( 0 <=>; 10 =>; 0 <=; 0 <~>)
% Maximal formula depth : 16 ( 4 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 21 ( 21 >; 0 *; 0 +; 0 <<)
% Number of symbols : 29 ( 27 usr; 17 con; 0-3 aty)
% Number of variables : 57 ( 0 ^; 57 !; 0 ?; 57 :)
% Comments :
%------------------------------------------------------------------------------
thf(sqrt_type,type,
sqrt: $i > $i ).
thf(pred_type,type,
pred: $i > $i ).
thf(sk__30_type,type,
sk__30: $i ).
thf(pv12_type,type,
pv12: $i ).
thf(tptp_minus_1_type,type,
tptp_minus_1: $i ).
thf(plus_type,type,
plus: $i > $i > $i ).
thf(sk__29_type,type,
sk__29: $i ).
thf(a_select3_type,type,
a_select3: $i > $i > $i > $i ).
thf(minus_type,type,
minus: $i > $i > $i ).
thf(sk__27_type,type,
sk__27: $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(n135300_type,type,
n135300: $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(pv71_type,type,
pv71: $i ).
thf(q_type,type,
q: $i ).
thf(succ_type,type,
succ: $i > $i ).
thf(divide_type,type,
divide: $i > $i > $i ).
thf(center_type,type,
center: $i ).
thf(sk__28_type,type,
sk__28: $i ).
thf(x_type,type,
x: $i ).
thf(n4_type,type,
n4: $i ).
thf(cl5_nebula_norm_0031,conjecture,
( ( ( leq @ n0 @ pv10 )
& ( leq @ n0 @ pv12 )
& ( leq @ pv10 @ ( minus @ n135300 @ n1 ) )
& ( leq @ pv12 @ ( minus @ n5 @ n1 ) )
& ! [A: $i,B: $i] :
( ( ( leq @ n0 @ A )
& ( leq @ A @ ( minus @ pv12 @ n1 ) ) )
=> ( ( a_select3 @ q @ pv10 @ A )
= ( divide @ ( sqrt @ ( times @ ( minus @ ( a_select3 @ center @ A @ n0 ) @ ( a_select2 @ x @ pv10 ) ) @ ( minus @ ( a_select3 @ center @ A @ n0 ) @ ( a_select2 @ x @ pv10 ) ) ) ) @ ( sum @ n0 @ ( minus @ n5 @ n1 ) @ ( sqrt @ ( times @ ( minus @ ( a_select3 @ center @ B @ n0 ) @ ( a_select2 @ x @ pv10 ) ) @ ( minus @ ( a_select3 @ center @ B @ n0 ) @ ( a_select2 @ x @ pv10 ) ) ) ) ) ) ) )
& ! [C: $i,D: $i] :
( ( ( leq @ n0 @ C )
& ( leq @ C @ ( minus @ pv10 @ n1 ) ) )
=> ( ( sum @ n0 @ ( minus @ n5 @ n1 ) @ ( a_select3 @ q @ C @ D ) )
= n1 ) ) )
=> ( ( n0
= ( sum @ n0 @ ( minus @ n0 @ n1 ) @ ( sqrt @ ( times @ ( minus @ ( a_select3 @ center @ pv71 @ n0 ) @ ( a_select2 @ x @ pv10 ) ) @ ( minus @ ( a_select3 @ center @ pv71 @ n0 ) @ ( a_select2 @ x @ pv10 ) ) ) ) ) )
& ( leq @ n0 @ pv10 )
& ( leq @ n0 @ pv12 )
& ( leq @ pv10 @ ( minus @ n135300 @ n1 ) )
& ( leq @ pv12 @ ( minus @ n5 @ n1 ) )
& ! [E: $i,F: $i] :
( ( ( leq @ n0 @ E )
& ( leq @ E @ ( minus @ pv12 @ n1 ) ) )
=> ( ( a_select3 @ q @ pv10 @ E )
= ( divide @ ( sqrt @ ( times @ ( minus @ ( a_select3 @ center @ E @ n0 ) @ ( a_select2 @ x @ pv10 ) ) @ ( minus @ ( a_select3 @ center @ E @ n0 ) @ ( a_select2 @ x @ pv10 ) ) ) ) @ ( sum @ n0 @ ( minus @ n5 @ n1 ) @ ( sqrt @ ( times @ ( minus @ ( a_select3 @ center @ F @ n0 ) @ ( a_select2 @ x @ pv10 ) ) @ ( minus @ ( a_select3 @ center @ F @ n0 ) @ ( a_select2 @ x @ pv10 ) ) ) ) ) ) ) )
& ! [G: $i,H: $i] :
( ( ( leq @ n0 @ G )
& ( leq @ G @ ( minus @ pv10 @ n1 ) ) )
=> ( ( sum @ n0 @ ( minus @ n5 @ n1 ) @ ( a_select3 @ q @ G @ H ) )
= n1 ) ) ) ) ).
thf(zf_stmt_0,negated_conjecture,
~ ( ( ( leq @ n0 @ pv10 )
& ( leq @ n0 @ pv12 )
& ( leq @ pv10 @ ( minus @ n135300 @ n1 ) )
& ( leq @ pv12 @ ( minus @ n5 @ n1 ) )
& ! [A: $i,B: $i] :
( ( ( leq @ n0 @ A )
& ( leq @ A @ ( minus @ pv12 @ n1 ) ) )
=> ( ( a_select3 @ q @ pv10 @ A )
= ( divide @ ( sqrt @ ( times @ ( minus @ ( a_select3 @ center @ A @ n0 ) @ ( a_select2 @ x @ pv10 ) ) @ ( minus @ ( a_select3 @ center @ A @ n0 ) @ ( a_select2 @ x @ pv10 ) ) ) ) @ ( sum @ n0 @ ( minus @ n5 @ n1 ) @ ( sqrt @ ( times @ ( minus @ ( a_select3 @ center @ B @ n0 ) @ ( a_select2 @ x @ pv10 ) ) @ ( minus @ ( a_select3 @ center @ B @ n0 ) @ ( a_select2 @ x @ pv10 ) ) ) ) ) ) ) )
& ! [C: $i,D: $i] :
( ( ( leq @ n0 @ C )
& ( leq @ C @ ( minus @ pv10 @ n1 ) ) )
=> ( ( sum @ n0 @ ( minus @ n5 @ n1 ) @ ( a_select3 @ q @ C @ D ) )
= n1 ) ) )
=> ( ( n0
= ( sum @ n0 @ ( minus @ n0 @ n1 ) @ ( sqrt @ ( times @ ( minus @ ( a_select3 @ center @ pv71 @ n0 ) @ ( a_select2 @ x @ pv10 ) ) @ ( minus @ ( a_select3 @ center @ pv71 @ n0 ) @ ( a_select2 @ x @ pv10 ) ) ) ) ) )
& ( leq @ n0 @ pv10 )
& ( leq @ n0 @ pv12 )
& ( leq @ pv10 @ ( minus @ n135300 @ n1 ) )
& ( leq @ pv12 @ ( minus @ n5 @ n1 ) )
& ! [E: $i,F: $i] :
( ( ( leq @ n0 @ E )
& ( leq @ E @ ( minus @ pv12 @ n1 ) ) )
=> ( ( a_select3 @ q @ pv10 @ E )
= ( divide @ ( sqrt @ ( times @ ( minus @ ( a_select3 @ center @ E @ n0 ) @ ( a_select2 @ x @ pv10 ) ) @ ( minus @ ( a_select3 @ center @ E @ n0 ) @ ( a_select2 @ x @ pv10 ) ) ) ) @ ( sum @ n0 @ ( minus @ n5 @ n1 ) @ ( sqrt @ ( times @ ( minus @ ( a_select3 @ center @ F @ n0 ) @ ( a_select2 @ x @ pv10 ) ) @ ( minus @ ( a_select3 @ center @ F @ n0 ) @ ( a_select2 @ x @ pv10 ) ) ) ) ) ) ) )
& ! [G: $i,H: $i] :
( ( ( leq @ n0 @ G )
& ( leq @ G @ ( minus @ pv10 @ n1 ) ) )
=> ( ( sum @ n0 @ ( minus @ n5 @ n1 ) @ ( a_select3 @ q @ G @ H ) )
= n1 ) ) ) ),
inference('cnf.neg',[status(esa)],[cl5_nebula_norm_0031]) ).
thf(zip_derived_cl123,plain,
! [X0: $i,X1: $i] :
( ~ ( leq @ X0 @ ( minus @ pv12 @ n1 ) )
| ~ ( leq @ n0 @ X0 )
| ( ( a_select3 @ q @ pv10 @ X0 )
= ( divide @ ( sqrt @ ( times @ ( minus @ ( a_select3 @ center @ X0 @ n0 ) @ ( a_select2 @ x @ pv10 ) ) @ ( minus @ ( a_select3 @ center @ X0 @ n0 ) @ ( a_select2 @ x @ pv10 ) ) ) ) @ ( sum @ n0 @ ( minus @ n5 @ n1 ) @ ( sqrt @ ( times @ ( minus @ ( a_select3 @ center @ X1 @ n0 ) @ ( a_select2 @ x @ pv10 ) ) @ ( minus @ ( a_select3 @ center @ X1 @ n0 ) @ ( a_select2 @ x @ pv10 ) ) ) ) ) ) ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(succ_plus_1_r,axiom,
! [X: $i] :
( ( plus @ X @ n1 )
= ( succ @ X ) ) ).
thf(zip_derived_cl88,plain,
! [X0: $i] :
( ( plus @ X0 @ n1 )
= ( succ @ X0 ) ),
inference(cnf,[status(esa)],[succ_plus_1_r]) ).
thf(succ_plus_5_r,axiom,
! [X: $i] :
( ( plus @ X @ n5 )
= ( succ @ ( succ @ ( succ @ ( succ @ ( succ @ X ) ) ) ) ) ) ).
thf(zip_derived_cl96,plain,
! [X0: $i] :
( ( plus @ X0 @ n5 )
= ( succ @ ( succ @ ( succ @ ( succ @ ( succ @ X0 ) ) ) ) ) ),
inference(cnf,[status(esa)],[succ_plus_5_r]) ).
thf(succ_plus_4_l,axiom,
! [X: $i] :
( ( plus @ n4 @ X )
= ( succ @ ( succ @ ( succ @ ( succ @ X ) ) ) ) ) ).
thf(zip_derived_cl95,plain,
! [X0: $i] :
( ( plus @ n4 @ X0 )
= ( succ @ ( succ @ ( succ @ ( succ @ X0 ) ) ) ) ),
inference(cnf,[status(esa)],[succ_plus_4_l]) ).
thf(zip_derived_cl1923,plain,
! [X0: $i] :
( ( plus @ X0 @ n5 )
= ( succ @ ( plus @ n4 @ X0 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl96,zip_derived_cl95]) ).
thf(zip_derived_cl1933,plain,
( ( plus @ n1 @ n5 )
= ( succ @ ( succ @ n4 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl88,zip_derived_cl1923]) ).
thf(succ_plus_1_l,axiom,
! [X: $i] :
( ( plus @ n1 @ X )
= ( succ @ X ) ) ).
thf(zip_derived_cl89,plain,
! [X0: $i] :
( ( plus @ n1 @ X0 )
= ( succ @ X0 ) ),
inference(cnf,[status(esa)],[succ_plus_1_l]) ).
thf(zip_derived_cl1936,plain,
( ( succ @ n5 )
= ( succ @ ( succ @ n4 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl1933,zip_derived_cl89]) ).
thf(pred_succ,axiom,
! [X: $i] :
( ( pred @ ( succ @ X ) )
= X ) ).
thf(zip_derived_cl99,plain,
! [X0: $i] :
( ( pred @ ( succ @ X0 ) )
= X0 ),
inference(cnf,[status(esa)],[pred_succ]) ).
thf(zip_derived_cl2478,plain,
( ( pred @ ( succ @ n5 ) )
= ( succ @ n4 ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl1936,zip_derived_cl99]) ).
thf(zip_derived_cl99_001,plain,
! [X0: $i] :
( ( pred @ ( succ @ X0 ) )
= X0 ),
inference(cnf,[status(esa)],[pred_succ]) ).
thf(zip_derived_cl2493,plain,
( n5
= ( succ @ n4 ) ),
inference(demod,[status(thm)],[zip_derived_cl2478,zip_derived_cl99]) ).
thf(zip_derived_cl99_002,plain,
! [X0: $i] :
( ( pred @ ( succ @ X0 ) )
= X0 ),
inference(cnf,[status(esa)],[pred_succ]) ).
thf(zip_derived_cl2541,plain,
( ( pred @ n5 )
= n4 ),
inference('s_sup+',[status(thm)],[zip_derived_cl2493,zip_derived_cl99]) ).
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_cl2562,plain,
( ( minus @ n5 @ n1 )
= n4 ),
inference('s_sup+',[status(thm)],[zip_derived_cl2541,zip_derived_cl98]) ).
thf(zip_derived_cl2630,plain,
! [X0: $i,X1: $i] :
( ~ ( leq @ X0 @ ( minus @ pv12 @ n1 ) )
| ~ ( leq @ n0 @ X0 )
| ( ( a_select3 @ q @ pv10 @ X0 )
= ( divide @ ( sqrt @ ( times @ ( minus @ ( a_select3 @ center @ X0 @ n0 ) @ ( a_select2 @ x @ pv10 ) ) @ ( minus @ ( a_select3 @ center @ X0 @ n0 ) @ ( a_select2 @ x @ pv10 ) ) ) ) @ ( sum @ n0 @ n4 @ ( sqrt @ ( times @ ( minus @ ( a_select3 @ center @ X1 @ n0 ) @ ( a_select2 @ x @ pv10 ) ) @ ( minus @ ( a_select3 @ center @ X1 @ n0 ) @ ( a_select2 @ x @ pv10 ) ) ) ) ) ) ) ),
inference(demod,[status(thm)],[zip_derived_cl123,zip_derived_cl2562]) ).
thf(zip_derived_cl124,plain,
! [X2: $i,X3: $i] :
( ~ ( leq @ X2 @ ( minus @ pv10 @ n1 ) )
| ~ ( leq @ n0 @ X2 )
| ( ( sum @ n0 @ ( minus @ n5 @ n1 ) @ ( a_select3 @ q @ X2 @ X3 ) )
= n1 ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl125,plain,
( ( n0
!= ( sum @ n0 @ ( minus @ n0 @ n1 ) @ ( sqrt @ ( times @ ( minus @ ( a_select3 @ center @ pv71 @ n0 ) @ ( a_select2 @ x @ pv10 ) ) @ ( minus @ ( a_select3 @ center @ pv71 @ n0 ) @ ( a_select2 @ x @ pv10 ) ) ) ) ) )
| ~ ( leq @ n0 @ pv10 )
| ~ ( leq @ n0 @ pv12 )
| ~ ( leq @ pv10 @ ( minus @ n135300 @ n1 ) )
| ~ ( leq @ pv12 @ ( minus @ n5 @ n1 ) )
| ( ( a_select3 @ q @ pv10 @ sk__27 )
!= ( divide @ ( sqrt @ ( times @ ( minus @ ( a_select3 @ center @ sk__27 @ n0 ) @ ( a_select2 @ x @ pv10 ) ) @ ( minus @ ( a_select3 @ center @ sk__27 @ n0 ) @ ( a_select2 @ x @ pv10 ) ) ) ) @ ( sum @ n0 @ ( minus @ n5 @ n1 ) @ ( sqrt @ ( times @ ( minus @ ( a_select3 @ center @ sk__28 @ n0 ) @ ( a_select2 @ x @ pv10 ) ) @ ( minus @ ( a_select3 @ center @ sk__28 @ n0 ) @ ( a_select2 @ x @ pv10 ) ) ) ) ) ) )
| ( ( sum @ n0 @ ( minus @ n5 @ n1 ) @ ( a_select3 @ q @ sk__29 @ sk__30 ) )
!= n1 ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(succ_tptp_minus_1,axiom,
( ( succ @ tptp_minus_1 )
= n0 ) ).
thf(zip_derived_cl87,plain,
( ( succ @ tptp_minus_1 )
= n0 ),
inference(cnf,[status(esa)],[succ_tptp_minus_1]) ).
thf(zip_derived_cl99_003,plain,
! [X0: $i] :
( ( pred @ ( succ @ X0 ) )
= X0 ),
inference(cnf,[status(esa)],[pred_succ]) ).
thf(zip_derived_cl1473,plain,
( ( pred @ n0 )
= tptp_minus_1 ),
inference('s_sup+',[status(thm)],[zip_derived_cl87,zip_derived_cl99]) ).
thf(zip_derived_cl98_004,plain,
! [X0: $i] :
( ( minus @ X0 @ n1 )
= ( pred @ X0 ) ),
inference(cnf,[status(esa)],[pred_minus_1]) ).
thf(zip_derived_cl1840,plain,
( ( minus @ n0 @ n1 )
= tptp_minus_1 ),
inference('s_sup+',[status(thm)],[zip_derived_cl1473,zip_derived_cl98]) ).
thf(sum_plus_base,axiom,
! [Body: $i] :
( ( sum @ n0 @ tptp_minus_1 @ Body )
= n0 ) ).
thf(zip_derived_cl85,plain,
! [X0: $i] :
( ( sum @ n0 @ tptp_minus_1 @ X0 )
= n0 ),
inference(cnf,[status(esa)],[sum_plus_base]) ).
thf(zip_derived_cl119,plain,
leq @ n0 @ pv10,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl120,plain,
leq @ n0 @ pv12,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl121,plain,
leq @ pv10 @ ( minus @ n135300 @ n1 ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl122,plain,
leq @ pv12 @ ( minus @ n5 @ n1 ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl2410,plain,
( ( n0 != n0 )
| ( ( a_select3 @ q @ pv10 @ sk__27 )
!= ( divide @ ( sqrt @ ( times @ ( minus @ ( a_select3 @ center @ sk__27 @ n0 ) @ ( a_select2 @ x @ pv10 ) ) @ ( minus @ ( a_select3 @ center @ sk__27 @ n0 ) @ ( a_select2 @ x @ pv10 ) ) ) ) @ ( sum @ n0 @ ( minus @ n5 @ n1 ) @ ( sqrt @ ( times @ ( minus @ ( a_select3 @ center @ sk__28 @ n0 ) @ ( a_select2 @ x @ pv10 ) ) @ ( minus @ ( a_select3 @ center @ sk__28 @ n0 ) @ ( a_select2 @ x @ pv10 ) ) ) ) ) ) )
| ( ( sum @ n0 @ ( minus @ n5 @ n1 ) @ ( a_select3 @ q @ sk__29 @ sk__30 ) )
!= n1 ) ),
inference(demod,[status(thm)],[zip_derived_cl125,zip_derived_cl1840,zip_derived_cl85,zip_derived_cl119,zip_derived_cl120,zip_derived_cl121,zip_derived_cl122]) ).
thf(zip_derived_cl2411,plain,
( ( ( sum @ n0 @ ( minus @ n5 @ n1 ) @ ( a_select3 @ q @ sk__29 @ sk__30 ) )
!= n1 )
| ( ( a_select3 @ q @ pv10 @ sk__27 )
!= ( divide @ ( sqrt @ ( times @ ( minus @ ( a_select3 @ center @ sk__27 @ n0 ) @ ( a_select2 @ x @ pv10 ) ) @ ( minus @ ( a_select3 @ center @ sk__27 @ n0 ) @ ( a_select2 @ x @ pv10 ) ) ) ) @ ( sum @ n0 @ ( minus @ n5 @ n1 ) @ ( sqrt @ ( times @ ( minus @ ( a_select3 @ center @ sk__28 @ n0 ) @ ( a_select2 @ x @ pv10 ) ) @ ( minus @ ( a_select3 @ center @ sk__28 @ n0 ) @ ( a_select2 @ x @ pv10 ) ) ) ) ) ) ) ),
inference(simplify,[status(thm)],[zip_derived_cl2410]) ).
thf(zip_derived_cl2412,plain,
( ~ ( leq @ n0 @ sk__29 )
| ~ ( leq @ sk__29 @ ( minus @ pv10 @ n1 ) )
| ( n1 != n1 )
| ( ( a_select3 @ q @ pv10 @ sk__27 )
!= ( divide @ ( sqrt @ ( times @ ( minus @ ( a_select3 @ center @ sk__27 @ n0 ) @ ( a_select2 @ x @ pv10 ) ) @ ( minus @ ( a_select3 @ center @ sk__27 @ n0 ) @ ( a_select2 @ x @ pv10 ) ) ) ) @ ( sum @ n0 @ ( minus @ n5 @ n1 ) @ ( sqrt @ ( times @ ( minus @ ( a_select3 @ center @ sk__28 @ n0 ) @ ( a_select2 @ x @ pv10 ) ) @ ( minus @ ( a_select3 @ center @ sk__28 @ n0 ) @ ( a_select2 @ x @ pv10 ) ) ) ) ) ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl124,zip_derived_cl2411]) ).
thf(zip_derived_cl2413,plain,
( ( ( a_select3 @ q @ pv10 @ sk__27 )
!= ( divide @ ( sqrt @ ( times @ ( minus @ ( a_select3 @ center @ sk__27 @ n0 ) @ ( a_select2 @ x @ pv10 ) ) @ ( minus @ ( a_select3 @ center @ sk__27 @ n0 ) @ ( a_select2 @ x @ pv10 ) ) ) ) @ ( sum @ n0 @ ( minus @ n5 @ n1 ) @ ( sqrt @ ( times @ ( minus @ ( a_select3 @ center @ sk__28 @ n0 ) @ ( a_select2 @ x @ pv10 ) ) @ ( minus @ ( a_select3 @ center @ sk__28 @ n0 ) @ ( a_select2 @ x @ pv10 ) ) ) ) ) ) )
| ~ ( leq @ sk__29 @ ( minus @ pv10 @ n1 ) )
| ~ ( leq @ n0 @ sk__29 ) ),
inference(simplify,[status(thm)],[zip_derived_cl2412]) ).
thf(zip_derived_cl132,plain,
( ( n0
!= ( sum @ n0 @ ( minus @ n0 @ n1 ) @ ( sqrt @ ( times @ ( minus @ ( a_select3 @ center @ pv71 @ n0 ) @ ( a_select2 @ x @ pv10 ) ) @ ( minus @ ( a_select3 @ center @ pv71 @ n0 ) @ ( a_select2 @ x @ pv10 ) ) ) ) ) )
| ~ ( leq @ n0 @ pv10 )
| ~ ( leq @ n0 @ pv12 )
| ~ ( leq @ pv10 @ ( minus @ n135300 @ n1 ) )
| ~ ( leq @ pv12 @ ( minus @ n5 @ n1 ) )
| ( leq @ sk__27 @ ( minus @ pv12 @ n1 ) )
| ( leq @ n0 @ sk__29 ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl1840_005,plain,
( ( minus @ n0 @ n1 )
= tptp_minus_1 ),
inference('s_sup+',[status(thm)],[zip_derived_cl1473,zip_derived_cl98]) ).
thf(zip_derived_cl85_006,plain,
! [X0: $i] :
( ( sum @ n0 @ tptp_minus_1 @ X0 )
= n0 ),
inference(cnf,[status(esa)],[sum_plus_base]) ).
thf(zip_derived_cl119_007,plain,
leq @ n0 @ pv10,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl120_008,plain,
leq @ n0 @ pv12,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl121_009,plain,
leq @ pv10 @ ( minus @ n135300 @ n1 ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl122_010,plain,
leq @ pv12 @ ( minus @ n5 @ n1 ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl2563,plain,
( ( n0 != n0 )
| ( leq @ sk__27 @ ( minus @ pv12 @ n1 ) )
| ( leq @ n0 @ sk__29 ) ),
inference(demod,[status(thm)],[zip_derived_cl132,zip_derived_cl1840,zip_derived_cl85,zip_derived_cl119,zip_derived_cl120,zip_derived_cl121,zip_derived_cl122]) ).
thf(zip_derived_cl2564,plain,
( ( leq @ n0 @ sk__29 )
| ( leq @ sk__27 @ ( minus @ pv12 @ n1 ) ) ),
inference(simplify,[status(thm)],[zip_derived_cl2563]) ).
thf(zip_derived_cl123_011,plain,
! [X0: $i,X1: $i] :
( ~ ( leq @ X0 @ ( minus @ pv12 @ n1 ) )
| ~ ( leq @ n0 @ X0 )
| ( ( a_select3 @ q @ pv10 @ X0 )
= ( divide @ ( sqrt @ ( times @ ( minus @ ( a_select3 @ center @ X0 @ n0 ) @ ( a_select2 @ x @ pv10 ) ) @ ( minus @ ( a_select3 @ center @ X0 @ n0 ) @ ( a_select2 @ x @ pv10 ) ) ) ) @ ( sum @ n0 @ ( minus @ n5 @ n1 ) @ ( sqrt @ ( times @ ( minus @ ( a_select3 @ center @ X1 @ n0 ) @ ( a_select2 @ x @ pv10 ) ) @ ( minus @ ( a_select3 @ center @ X1 @ n0 ) @ ( a_select2 @ x @ pv10 ) ) ) ) ) ) ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl126,plain,
( ( n0
!= ( sum @ n0 @ ( minus @ n0 @ n1 ) @ ( sqrt @ ( times @ ( minus @ ( a_select3 @ center @ pv71 @ n0 ) @ ( a_select2 @ x @ pv10 ) ) @ ( minus @ ( a_select3 @ center @ pv71 @ n0 ) @ ( a_select2 @ x @ pv10 ) ) ) ) ) )
| ~ ( leq @ n0 @ pv10 )
| ~ ( leq @ n0 @ pv12 )
| ~ ( leq @ pv10 @ ( minus @ n135300 @ n1 ) )
| ~ ( leq @ pv12 @ ( minus @ n5 @ n1 ) )
| ( ( a_select3 @ q @ pv10 @ sk__27 )
!= ( divide @ ( sqrt @ ( times @ ( minus @ ( a_select3 @ center @ sk__27 @ n0 ) @ ( a_select2 @ x @ pv10 ) ) @ ( minus @ ( a_select3 @ center @ sk__27 @ n0 ) @ ( a_select2 @ x @ pv10 ) ) ) ) @ ( sum @ n0 @ ( minus @ n5 @ n1 ) @ ( sqrt @ ( times @ ( minus @ ( a_select3 @ center @ sk__28 @ n0 ) @ ( a_select2 @ x @ pv10 ) ) @ ( minus @ ( a_select3 @ center @ sk__28 @ n0 ) @ ( a_select2 @ x @ pv10 ) ) ) ) ) ) )
| ( leq @ n0 @ sk__29 ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl1840_012,plain,
( ( minus @ n0 @ n1 )
= tptp_minus_1 ),
inference('s_sup+',[status(thm)],[zip_derived_cl1473,zip_derived_cl98]) ).
thf(zip_derived_cl85_013,plain,
! [X0: $i] :
( ( sum @ n0 @ tptp_minus_1 @ X0 )
= n0 ),
inference(cnf,[status(esa)],[sum_plus_base]) ).
thf(zip_derived_cl119_014,plain,
leq @ n0 @ pv10,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl120_015,plain,
leq @ n0 @ pv12,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl121_016,plain,
leq @ pv10 @ ( minus @ n135300 @ n1 ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl122_017,plain,
leq @ pv12 @ ( minus @ n5 @ n1 ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl2418,plain,
( ( n0 != n0 )
| ( ( a_select3 @ q @ pv10 @ sk__27 )
!= ( divide @ ( sqrt @ ( times @ ( minus @ ( a_select3 @ center @ sk__27 @ n0 ) @ ( a_select2 @ x @ pv10 ) ) @ ( minus @ ( a_select3 @ center @ sk__27 @ n0 ) @ ( a_select2 @ x @ pv10 ) ) ) ) @ ( sum @ n0 @ ( minus @ n5 @ n1 ) @ ( sqrt @ ( times @ ( minus @ ( a_select3 @ center @ sk__28 @ n0 ) @ ( a_select2 @ x @ pv10 ) ) @ ( minus @ ( a_select3 @ center @ sk__28 @ n0 ) @ ( a_select2 @ x @ pv10 ) ) ) ) ) ) )
| ( leq @ n0 @ sk__29 ) ),
inference(demod,[status(thm)],[zip_derived_cl126,zip_derived_cl1840,zip_derived_cl85,zip_derived_cl119,zip_derived_cl120,zip_derived_cl121,zip_derived_cl122]) ).
thf(zip_derived_cl2419,plain,
( ( leq @ n0 @ sk__29 )
| ( ( a_select3 @ q @ pv10 @ sk__27 )
!= ( divide @ ( sqrt @ ( times @ ( minus @ ( a_select3 @ center @ sk__27 @ n0 ) @ ( a_select2 @ x @ pv10 ) ) @ ( minus @ ( a_select3 @ center @ sk__27 @ n0 ) @ ( a_select2 @ x @ pv10 ) ) ) ) @ ( sum @ n0 @ ( minus @ n5 @ n1 ) @ ( sqrt @ ( times @ ( minus @ ( a_select3 @ center @ sk__28 @ n0 ) @ ( a_select2 @ x @ pv10 ) ) @ ( minus @ ( a_select3 @ center @ sk__28 @ n0 ) @ ( a_select2 @ x @ pv10 ) ) ) ) ) ) ) ),
inference(simplify,[status(thm)],[zip_derived_cl2418]) ).
thf(zip_derived_cl2420,plain,
( ~ ( leq @ n0 @ sk__27 )
| ~ ( leq @ sk__27 @ ( minus @ pv12 @ n1 ) )
| ( leq @ n0 @ sk__29 )
| ( ( a_select3 @ q @ pv10 @ sk__27 )
!= ( a_select3 @ q @ pv10 @ sk__27 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl123,zip_derived_cl2419]) ).
thf(zip_derived_cl2421,plain,
( ( leq @ n0 @ sk__29 )
| ~ ( leq @ sk__27 @ ( minus @ pv12 @ n1 ) )
| ~ ( leq @ n0 @ sk__27 ) ),
inference(simplify,[status(thm)],[zip_derived_cl2420]) ).
thf(zip_derived_cl130,plain,
( ( n0
!= ( sum @ n0 @ ( minus @ n0 @ n1 ) @ ( sqrt @ ( times @ ( minus @ ( a_select3 @ center @ pv71 @ n0 ) @ ( a_select2 @ x @ pv10 ) ) @ ( minus @ ( a_select3 @ center @ pv71 @ n0 ) @ ( a_select2 @ x @ pv10 ) ) ) ) ) )
| ~ ( leq @ n0 @ pv10 )
| ~ ( leq @ n0 @ pv12 )
| ~ ( leq @ pv10 @ ( minus @ n135300 @ n1 ) )
| ~ ( leq @ pv12 @ ( minus @ n5 @ n1 ) )
| ( leq @ n0 @ sk__27 )
| ( leq @ sk__29 @ ( minus @ pv10 @ n1 ) ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl1840_018,plain,
( ( minus @ n0 @ n1 )
= tptp_minus_1 ),
inference('s_sup+',[status(thm)],[zip_derived_cl1473,zip_derived_cl98]) ).
thf(zip_derived_cl85_019,plain,
! [X0: $i] :
( ( sum @ n0 @ tptp_minus_1 @ X0 )
= n0 ),
inference(cnf,[status(esa)],[sum_plus_base]) ).
thf(zip_derived_cl119_020,plain,
leq @ n0 @ pv10,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl120_021,plain,
leq @ n0 @ pv12,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl121_022,plain,
leq @ pv10 @ ( minus @ n135300 @ n1 ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl122_023,plain,
leq @ pv12 @ ( minus @ n5 @ n1 ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl2494,plain,
( ( n0 != n0 )
| ( leq @ n0 @ sk__27 )
| ( leq @ sk__29 @ ( minus @ pv10 @ n1 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl130,zip_derived_cl1840,zip_derived_cl85,zip_derived_cl119,zip_derived_cl120,zip_derived_cl121,zip_derived_cl122]) ).
thf(zip_derived_cl2495,plain,
( ( leq @ sk__29 @ ( minus @ pv10 @ n1 ) )
| ( leq @ n0 @ sk__27 ) ),
inference(simplify,[status(thm)],[zip_derived_cl2494]) ).
thf(zip_derived_cl124_024,plain,
! [X2: $i,X3: $i] :
( ~ ( leq @ X2 @ ( minus @ pv10 @ n1 ) )
| ~ ( leq @ n0 @ X2 )
| ( ( sum @ n0 @ ( minus @ n5 @ n1 ) @ ( a_select3 @ q @ X2 @ X3 ) )
= n1 ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl128,plain,
( ( n0
!= ( sum @ n0 @ ( minus @ n0 @ n1 ) @ ( sqrt @ ( times @ ( minus @ ( a_select3 @ center @ pv71 @ n0 ) @ ( a_select2 @ x @ pv10 ) ) @ ( minus @ ( a_select3 @ center @ pv71 @ n0 ) @ ( a_select2 @ x @ pv10 ) ) ) ) ) )
| ~ ( leq @ n0 @ pv10 )
| ~ ( leq @ n0 @ pv12 )
| ~ ( leq @ pv10 @ ( minus @ n135300 @ n1 ) )
| ~ ( leq @ pv12 @ ( minus @ n5 @ 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(zip_derived_cl1840_025,plain,
( ( minus @ n0 @ n1 )
= tptp_minus_1 ),
inference('s_sup+',[status(thm)],[zip_derived_cl1473,zip_derived_cl98]) ).
thf(zip_derived_cl85_026,plain,
! [X0: $i] :
( ( sum @ n0 @ tptp_minus_1 @ X0 )
= n0 ),
inference(cnf,[status(esa)],[sum_plus_base]) ).
thf(zip_derived_cl119_027,plain,
leq @ n0 @ pv10,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl120_028,plain,
leq @ n0 @ pv12,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl121_029,plain,
leq @ pv10 @ ( minus @ n135300 @ n1 ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl122_030,plain,
leq @ pv12 @ ( minus @ n5 @ n1 ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl2429,plain,
( ( n0 != n0 )
| ( leq @ n0 @ sk__27 )
| ( ( sum @ n0 @ ( minus @ n5 @ n1 ) @ ( a_select3 @ q @ sk__29 @ sk__30 ) )
!= n1 ) ),
inference(demod,[status(thm)],[zip_derived_cl128,zip_derived_cl1840,zip_derived_cl85,zip_derived_cl119,zip_derived_cl120,zip_derived_cl121,zip_derived_cl122]) ).
thf(zip_derived_cl2430,plain,
( ( ( sum @ n0 @ ( minus @ n5 @ n1 ) @ ( a_select3 @ q @ sk__29 @ sk__30 ) )
!= n1 )
| ( leq @ n0 @ sk__27 ) ),
inference(simplify,[status(thm)],[zip_derived_cl2429]) ).
thf(zip_derived_cl2431,plain,
( ~ ( leq @ n0 @ sk__29 )
| ~ ( leq @ sk__29 @ ( minus @ pv10 @ n1 ) )
| ( n1 != n1 )
| ( leq @ n0 @ sk__27 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl124,zip_derived_cl2430]) ).
thf(zip_derived_cl2432,plain,
( ( leq @ n0 @ sk__27 )
| ~ ( leq @ sk__29 @ ( minus @ pv10 @ n1 ) )
| ~ ( leq @ n0 @ sk__29 ) ),
inference(simplify,[status(thm)],[zip_derived_cl2431]) ).
thf(zip_derived_cl129,plain,
( ( n0
!= ( sum @ n0 @ ( minus @ n0 @ n1 ) @ ( sqrt @ ( times @ ( minus @ ( a_select3 @ center @ pv71 @ n0 ) @ ( a_select2 @ x @ pv10 ) ) @ ( minus @ ( a_select3 @ center @ pv71 @ n0 ) @ ( a_select2 @ x @ pv10 ) ) ) ) ) )
| ~ ( leq @ n0 @ pv10 )
| ~ ( leq @ n0 @ pv12 )
| ~ ( leq @ pv10 @ ( minus @ n135300 @ n1 ) )
| ~ ( leq @ pv12 @ ( minus @ n5 @ n1 ) )
| ( leq @ n0 @ sk__27 )
| ( leq @ n0 @ sk__29 ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl1840_031,plain,
( ( minus @ n0 @ n1 )
= tptp_minus_1 ),
inference('s_sup+',[status(thm)],[zip_derived_cl1473,zip_derived_cl98]) ).
thf(zip_derived_cl85_032,plain,
! [X0: $i] :
( ( sum @ n0 @ tptp_minus_1 @ X0 )
= n0 ),
inference(cnf,[status(esa)],[sum_plus_base]) ).
thf(zip_derived_cl119_033,plain,
leq @ n0 @ pv10,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl120_034,plain,
leq @ n0 @ pv12,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl121_035,plain,
leq @ pv10 @ ( minus @ n135300 @ n1 ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl122_036,plain,
leq @ pv12 @ ( minus @ n5 @ n1 ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl2435,plain,
( ( n0 != n0 )
| ( leq @ n0 @ sk__27 )
| ( leq @ n0 @ sk__29 ) ),
inference(demod,[status(thm)],[zip_derived_cl129,zip_derived_cl1840,zip_derived_cl85,zip_derived_cl119,zip_derived_cl120,zip_derived_cl121,zip_derived_cl122]) ).
thf(zip_derived_cl2436,plain,
( ( leq @ n0 @ sk__29 )
| ( leq @ n0 @ sk__27 ) ),
inference(simplify,[status(thm)],[zip_derived_cl2435]) ).
thf(zip_derived_cl2473,plain,
( ~ ( leq @ sk__29 @ ( minus @ pv10 @ n1 ) )
| ( leq @ n0 @ sk__27 ) ),
inference(clc,[status(thm)],[zip_derived_cl2432,zip_derived_cl2436]) ).
thf(zip_derived_cl2496,plain,
leq @ n0 @ sk__27,
inference(clc,[status(thm)],[zip_derived_cl2495,zip_derived_cl2473]) ).
thf(zip_derived_cl2497,plain,
( ( leq @ n0 @ sk__29 )
| ~ ( leq @ sk__27 @ ( minus @ pv12 @ n1 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl2421,zip_derived_cl2496]) ).
thf(zip_derived_cl2565,plain,
leq @ n0 @ sk__29,
inference(clc,[status(thm)],[zip_derived_cl2564,zip_derived_cl2497]) ).
thf(zip_derived_cl2566,plain,
( ( ( a_select3 @ q @ pv10 @ sk__27 )
!= ( divide @ ( sqrt @ ( times @ ( minus @ ( a_select3 @ center @ sk__27 @ n0 ) @ ( a_select2 @ x @ pv10 ) ) @ ( minus @ ( a_select3 @ center @ sk__27 @ n0 ) @ ( a_select2 @ x @ pv10 ) ) ) ) @ ( sum @ n0 @ ( minus @ n5 @ n1 ) @ ( sqrt @ ( times @ ( minus @ ( a_select3 @ center @ sk__28 @ n0 ) @ ( a_select2 @ x @ pv10 ) ) @ ( minus @ ( a_select3 @ center @ sk__28 @ n0 ) @ ( a_select2 @ x @ pv10 ) ) ) ) ) ) )
| ~ ( leq @ sk__29 @ ( minus @ pv10 @ n1 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl2413,zip_derived_cl2565]) ).
thf(zip_derived_cl2562_037,plain,
( ( minus @ n5 @ n1 )
= n4 ),
inference('s_sup+',[status(thm)],[zip_derived_cl2541,zip_derived_cl98]) ).
thf(zip_derived_cl123_038,plain,
! [X0: $i,X1: $i] :
( ~ ( leq @ X0 @ ( minus @ pv12 @ n1 ) )
| ~ ( leq @ n0 @ X0 )
| ( ( a_select3 @ q @ pv10 @ X0 )
= ( divide @ ( sqrt @ ( times @ ( minus @ ( a_select3 @ center @ X0 @ n0 ) @ ( a_select2 @ x @ pv10 ) ) @ ( minus @ ( a_select3 @ center @ X0 @ n0 ) @ ( a_select2 @ x @ pv10 ) ) ) ) @ ( sum @ n0 @ ( minus @ n5 @ n1 ) @ ( sqrt @ ( times @ ( minus @ ( a_select3 @ center @ X1 @ n0 ) @ ( a_select2 @ x @ pv10 ) ) @ ( minus @ ( a_select3 @ center @ X1 @ n0 ) @ ( a_select2 @ x @ pv10 ) ) ) ) ) ) ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl127,plain,
( ( n0
!= ( sum @ n0 @ ( minus @ n0 @ n1 ) @ ( sqrt @ ( times @ ( minus @ ( a_select3 @ center @ pv71 @ n0 ) @ ( a_select2 @ x @ pv10 ) ) @ ( minus @ ( a_select3 @ center @ pv71 @ n0 ) @ ( a_select2 @ x @ pv10 ) ) ) ) ) )
| ~ ( leq @ n0 @ pv10 )
| ~ ( leq @ n0 @ pv12 )
| ~ ( leq @ pv10 @ ( minus @ n135300 @ n1 ) )
| ~ ( leq @ pv12 @ ( minus @ n5 @ n1 ) )
| ( ( a_select3 @ q @ pv10 @ sk__27 )
!= ( divide @ ( sqrt @ ( times @ ( minus @ ( a_select3 @ center @ sk__27 @ n0 ) @ ( a_select2 @ x @ pv10 ) ) @ ( minus @ ( a_select3 @ center @ sk__27 @ n0 ) @ ( a_select2 @ x @ pv10 ) ) ) ) @ ( sum @ n0 @ ( minus @ n5 @ n1 ) @ ( sqrt @ ( times @ ( minus @ ( a_select3 @ center @ sk__28 @ n0 ) @ ( a_select2 @ x @ pv10 ) ) @ ( minus @ ( a_select3 @ center @ sk__28 @ n0 ) @ ( a_select2 @ x @ pv10 ) ) ) ) ) ) )
| ( leq @ sk__29 @ ( minus @ pv10 @ n1 ) ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl1840_039,plain,
( ( minus @ n0 @ n1 )
= tptp_minus_1 ),
inference('s_sup+',[status(thm)],[zip_derived_cl1473,zip_derived_cl98]) ).
thf(zip_derived_cl85_040,plain,
! [X0: $i] :
( ( sum @ n0 @ tptp_minus_1 @ X0 )
= n0 ),
inference(cnf,[status(esa)],[sum_plus_base]) ).
thf(zip_derived_cl119_041,plain,
leq @ n0 @ pv10,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl120_042,plain,
leq @ n0 @ pv12,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl121_043,plain,
leq @ pv10 @ ( minus @ n135300 @ n1 ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl122_044,plain,
leq @ pv12 @ ( minus @ n5 @ n1 ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl2425,plain,
( ( n0 != n0 )
| ( ( a_select3 @ q @ pv10 @ sk__27 )
!= ( divide @ ( sqrt @ ( times @ ( minus @ ( a_select3 @ center @ sk__27 @ n0 ) @ ( a_select2 @ x @ pv10 ) ) @ ( minus @ ( a_select3 @ center @ sk__27 @ n0 ) @ ( a_select2 @ x @ pv10 ) ) ) ) @ ( sum @ n0 @ ( minus @ n5 @ n1 ) @ ( sqrt @ ( times @ ( minus @ ( a_select3 @ center @ sk__28 @ n0 ) @ ( a_select2 @ x @ pv10 ) ) @ ( minus @ ( a_select3 @ center @ sk__28 @ n0 ) @ ( a_select2 @ x @ pv10 ) ) ) ) ) ) )
| ( leq @ sk__29 @ ( minus @ pv10 @ n1 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl127,zip_derived_cl1840,zip_derived_cl85,zip_derived_cl119,zip_derived_cl120,zip_derived_cl121,zip_derived_cl122]) ).
thf(zip_derived_cl2426,plain,
( ( leq @ sk__29 @ ( minus @ pv10 @ n1 ) )
| ( ( a_select3 @ q @ pv10 @ sk__27 )
!= ( divide @ ( sqrt @ ( times @ ( minus @ ( a_select3 @ center @ sk__27 @ n0 ) @ ( a_select2 @ x @ pv10 ) ) @ ( minus @ ( a_select3 @ center @ sk__27 @ n0 ) @ ( a_select2 @ x @ pv10 ) ) ) ) @ ( sum @ n0 @ ( minus @ n5 @ n1 ) @ ( sqrt @ ( times @ ( minus @ ( a_select3 @ center @ sk__28 @ n0 ) @ ( a_select2 @ x @ pv10 ) ) @ ( minus @ ( a_select3 @ center @ sk__28 @ n0 ) @ ( a_select2 @ x @ pv10 ) ) ) ) ) ) ) ),
inference(simplify,[status(thm)],[zip_derived_cl2425]) ).
thf(zip_derived_cl2427,plain,
( ~ ( leq @ n0 @ sk__27 )
| ~ ( leq @ sk__27 @ ( minus @ pv12 @ n1 ) )
| ( leq @ sk__29 @ ( minus @ pv10 @ n1 ) )
| ( ( a_select3 @ q @ pv10 @ sk__27 )
!= ( a_select3 @ q @ pv10 @ sk__27 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl123,zip_derived_cl2426]) ).
thf(zip_derived_cl2428,plain,
( ( leq @ sk__29 @ ( minus @ pv10 @ n1 ) )
| ~ ( leq @ sk__27 @ ( minus @ pv12 @ n1 ) )
| ~ ( leq @ n0 @ sk__27 ) ),
inference(simplify,[status(thm)],[zip_derived_cl2427]) ).
thf(zip_derived_cl2496_045,plain,
leq @ n0 @ sk__27,
inference(clc,[status(thm)],[zip_derived_cl2495,zip_derived_cl2473]) ).
thf(zip_derived_cl2607,plain,
( ( leq @ sk__29 @ ( minus @ pv10 @ n1 ) )
| ~ ( leq @ sk__27 @ ( minus @ pv12 @ n1 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl2428,zip_derived_cl2496]) ).
thf(zip_derived_cl133,plain,
( ( n0
!= ( sum @ n0 @ ( minus @ n0 @ n1 ) @ ( sqrt @ ( times @ ( minus @ ( a_select3 @ center @ pv71 @ n0 ) @ ( a_select2 @ x @ pv10 ) ) @ ( minus @ ( a_select3 @ center @ pv71 @ n0 ) @ ( a_select2 @ x @ pv10 ) ) ) ) ) )
| ~ ( leq @ n0 @ pv10 )
| ~ ( leq @ n0 @ pv12 )
| ~ ( leq @ pv10 @ ( minus @ n135300 @ n1 ) )
| ~ ( leq @ pv12 @ ( minus @ n5 @ n1 ) )
| ( leq @ sk__27 @ ( minus @ pv12 @ n1 ) )
| ( leq @ sk__29 @ ( minus @ pv10 @ n1 ) ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl1840_046,plain,
( ( minus @ n0 @ n1 )
= tptp_minus_1 ),
inference('s_sup+',[status(thm)],[zip_derived_cl1473,zip_derived_cl98]) ).
thf(zip_derived_cl85_047,plain,
! [X0: $i] :
( ( sum @ n0 @ tptp_minus_1 @ X0 )
= n0 ),
inference(cnf,[status(esa)],[sum_plus_base]) ).
thf(zip_derived_cl119_048,plain,
leq @ n0 @ pv10,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl120_049,plain,
leq @ n0 @ pv12,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl121_050,plain,
leq @ pv10 @ ( minus @ n135300 @ n1 ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl122_051,plain,
leq @ pv12 @ ( minus @ n5 @ n1 ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl2603,plain,
( ( n0 != n0 )
| ( leq @ sk__27 @ ( minus @ pv12 @ n1 ) )
| ( leq @ sk__29 @ ( minus @ pv10 @ n1 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl133,zip_derived_cl1840,zip_derived_cl85,zip_derived_cl119,zip_derived_cl120,zip_derived_cl121,zip_derived_cl122]) ).
thf(zip_derived_cl2604,plain,
( ( leq @ sk__29 @ ( minus @ pv10 @ n1 ) )
| ( leq @ sk__27 @ ( minus @ pv12 @ n1 ) ) ),
inference(simplify,[status(thm)],[zip_derived_cl2603]) ).
thf(zip_derived_cl2608,plain,
leq @ sk__29 @ ( minus @ pv10 @ n1 ),
inference(clc,[status(thm)],[zip_derived_cl2607,zip_derived_cl2604]) ).
thf(zip_derived_cl2720,plain,
( ( a_select3 @ q @ pv10 @ sk__27 )
!= ( divide @ ( sqrt @ ( times @ ( minus @ ( a_select3 @ center @ sk__27 @ n0 ) @ ( a_select2 @ x @ pv10 ) ) @ ( minus @ ( a_select3 @ center @ sk__27 @ n0 ) @ ( a_select2 @ x @ pv10 ) ) ) ) @ ( sum @ n0 @ n4 @ ( sqrt @ ( times @ ( minus @ ( a_select3 @ center @ sk__28 @ n0 ) @ ( a_select2 @ x @ pv10 ) ) @ ( minus @ ( a_select3 @ center @ sk__28 @ n0 ) @ ( a_select2 @ x @ pv10 ) ) ) ) ) ) ),
inference(demod,[status(thm)],[zip_derived_cl2566,zip_derived_cl2562,zip_derived_cl2608]) ).
thf(zip_derived_cl10330,plain,
( ~ ( leq @ n0 @ sk__27 )
| ~ ( leq @ sk__27 @ ( minus @ pv12 @ n1 ) )
| ( ( a_select3 @ q @ pv10 @ sk__27 )
!= ( a_select3 @ q @ pv10 @ sk__27 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl2630,zip_derived_cl2720]) ).
thf(zip_derived_cl2496_052,plain,
leq @ n0 @ sk__27,
inference(clc,[status(thm)],[zip_derived_cl2495,zip_derived_cl2473]) ).
thf(zip_derived_cl124_053,plain,
! [X2: $i,X3: $i] :
( ~ ( leq @ X2 @ ( minus @ pv10 @ n1 ) )
| ~ ( leq @ n0 @ X2 )
| ( ( sum @ n0 @ ( minus @ n5 @ n1 ) @ ( a_select3 @ q @ X2 @ X3 ) )
= n1 ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl131,plain,
( ( n0
!= ( sum @ n0 @ ( minus @ n0 @ n1 ) @ ( sqrt @ ( times @ ( minus @ ( a_select3 @ center @ pv71 @ n0 ) @ ( a_select2 @ x @ pv10 ) ) @ ( minus @ ( a_select3 @ center @ pv71 @ n0 ) @ ( a_select2 @ x @ pv10 ) ) ) ) ) )
| ~ ( leq @ n0 @ pv10 )
| ~ ( leq @ n0 @ pv12 )
| ~ ( leq @ pv10 @ ( minus @ n135300 @ n1 ) )
| ~ ( leq @ pv12 @ ( minus @ n5 @ n1 ) )
| ( leq @ sk__27 @ ( minus @ pv12 @ n1 ) )
| ( ( sum @ n0 @ ( minus @ n5 @ n1 ) @ ( a_select3 @ q @ sk__29 @ sk__30 ) )
!= n1 ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl1840_054,plain,
( ( minus @ n0 @ n1 )
= tptp_minus_1 ),
inference('s_sup+',[status(thm)],[zip_derived_cl1473,zip_derived_cl98]) ).
thf(zip_derived_cl85_055,plain,
! [X0: $i] :
( ( sum @ n0 @ tptp_minus_1 @ X0 )
= n0 ),
inference(cnf,[status(esa)],[sum_plus_base]) ).
thf(zip_derived_cl119_056,plain,
leq @ n0 @ pv10,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl120_057,plain,
leq @ n0 @ pv12,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl121_058,plain,
leq @ pv10 @ ( minus @ n135300 @ n1 ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl122_059,plain,
leq @ pv12 @ ( minus @ n5 @ n1 ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl2554,plain,
( ( n0 != n0 )
| ( leq @ sk__27 @ ( minus @ pv12 @ n1 ) )
| ( ( sum @ n0 @ ( minus @ n5 @ n1 ) @ ( a_select3 @ q @ sk__29 @ sk__30 ) )
!= n1 ) ),
inference(demod,[status(thm)],[zip_derived_cl131,zip_derived_cl1840,zip_derived_cl85,zip_derived_cl119,zip_derived_cl120,zip_derived_cl121,zip_derived_cl122]) ).
thf(zip_derived_cl2555,plain,
( ( ( sum @ n0 @ ( minus @ n5 @ n1 ) @ ( a_select3 @ q @ sk__29 @ sk__30 ) )
!= n1 )
| ( leq @ sk__27 @ ( minus @ pv12 @ n1 ) ) ),
inference(simplify,[status(thm)],[zip_derived_cl2554]) ).
thf(zip_derived_cl2556,plain,
( ~ ( leq @ n0 @ sk__29 )
| ~ ( leq @ sk__29 @ ( minus @ pv10 @ n1 ) )
| ( n1 != n1 )
| ( leq @ sk__27 @ ( minus @ pv12 @ n1 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl124,zip_derived_cl2555]) ).
thf(zip_derived_cl2557,plain,
( ( leq @ sk__27 @ ( minus @ pv12 @ n1 ) )
| ~ ( leq @ sk__29 @ ( minus @ pv10 @ n1 ) )
| ~ ( leq @ n0 @ sk__29 ) ),
inference(simplify,[status(thm)],[zip_derived_cl2556]) ).
thf(zip_derived_cl2608_060,plain,
leq @ sk__29 @ ( minus @ pv10 @ n1 ),
inference(clc,[status(thm)],[zip_derived_cl2607,zip_derived_cl2604]) ).
thf(zip_derived_cl2565_061,plain,
leq @ n0 @ sk__29,
inference(clc,[status(thm)],[zip_derived_cl2564,zip_derived_cl2497]) ).
thf(zip_derived_cl2695,plain,
leq @ sk__27 @ ( minus @ pv12 @ n1 ),
inference(demod,[status(thm)],[zip_derived_cl2557,zip_derived_cl2608,zip_derived_cl2565]) ).
thf(zip_derived_cl10331,plain,
( ( a_select3 @ q @ pv10 @ sk__27 )
!= ( a_select3 @ q @ pv10 @ sk__27 ) ),
inference(demod,[status(thm)],[zip_derived_cl10330,zip_derived_cl2496,zip_derived_cl2695]) ).
thf(zip_derived_cl10332,plain,
$false,
inference(simplify,[status(thm)],[zip_derived_cl10331]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.13 % Problem : SWV053+1 : TPTP v8.1.2. Bugfixed v3.3.0.
% 0.13/0.14 % Command : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.ZHhE0s0ury true
% 0.14/0.35 % Computer : n022.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 : Tue Aug 29 10:50:38 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
% 0.14/0.36 % Number of cores: 8
% 0.21/0.36 % Python version: Python 3.6.8
% 0.21/0.36 % Running in FO mode
% 0.21/0.65 % Total configuration time : 435
% 0.21/0.65 % Estimated wc time : 1092
% 0.21/0.65 % Estimated cpu time (7 cpus) : 156.0
% 0.21/0.73 % /export/starexec/sandbox/solver/bin/fo/fo6_bce.sh running for 75s
% 0.21/0.74 % /export/starexec/sandbox/solver/bin/fo/fo1_av.sh running for 75s
% 0.21/0.75 % /export/starexec/sandbox/solver/bin/fo/fo3_bce.sh running for 75s
% 0.21/0.75 % /export/starexec/sandbox/solver/bin/fo/fo13.sh running for 50s
% 0.21/0.75 % /export/starexec/sandbox/solver/bin/fo/fo7.sh running for 63s
% 0.21/0.75 % /export/starexec/sandbox/solver/bin/fo/fo5.sh running for 50s
% 0.21/0.75 % /export/starexec/sandbox/solver/bin/fo/fo4.sh running for 50s
% 23.54/4.01 % Solved by fo/fo6_bce.sh.
% 23.54/4.01 % BCE start: 173
% 23.54/4.01 % BCE eliminated: 1
% 23.54/4.01 % PE start: 172
% 23.54/4.01 logic: eq
% 23.54/4.01 % PE eliminated: 13
% 23.54/4.01 % done 1286 iterations in 3.240s
% 23.54/4.01 % SZS status Theorem for '/export/starexec/sandbox/benchmark/theBenchmark.p'
% 23.54/4.01 % SZS output start Refutation
% See solution above
% 23.54/4.01
% 23.54/4.01
% 23.54/4.01 % Terminating...
% 23.91/4.07 % Runner terminated.
% 23.91/4.09 % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------