TSTP Solution File: SWV089+1 by Zipperpin---2.1.9999
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%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : SWV089+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.2MauFiuAUi 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 00:07:36 EDT 2023
% Result : Theorem 8.63s 1.83s
% Output : Refutation 8.63s
% Verified :
% SZS Type : Refutation
% Derivation depth : 33
% Number of leaves : 37
% Syntax : Number of formulae : 156 ( 67 unt; 17 typ; 0 def)
% Number of atoms : 342 ( 251 equ; 0 cnn)
% Maximal formula atoms : 8 ( 2 avg)
% Number of connectives : 2109 ( 116 ~; 180 |; 14 &;1790 @)
% ( 2 <=>; 7 =>; 0 <=; 0 <~>)
% Maximal formula depth : 11 ( 5 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 17 ( 17 >; 0 *; 0 +; 0 <<)
% Number of symbols : 19 ( 17 usr; 11 con; 0-4 aty)
% Number of variables : 141 ( 0 ^; 141 !; 0 ?; 141 :)
% Comments :
%------------------------------------------------------------------------------
thf(n3_type,type,
n3: $i ).
thf(xinit_defuse_type,type,
xinit_defuse: $i ).
thf(a_select3_type,type,
a_select3: $i > $i > $i > $i ).
thf(n2_type,type,
n2: $i ).
thf(tptp_update3_type,type,
tptp_update3: $i > $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(n5_type,type,
n5: $i ).
thf(tptp_update2_type,type,
tptp_update2: $i > $i > $i > $i ).
thf(n0_type,type,
n0: $i ).
thf(a_select2_type,type,
a_select2: $i > $i > $i ).
thf(u_defuse_type,type,
u_defuse: $i ).
thf(succ_type,type,
succ: $i > $i ).
thf(use_type,type,
use: $i ).
thf(true_type,type,
true: $o ).
thf(n4_type,type,
n4: $i ).
thf(gt_1_0,axiom,
gt @ n1 @ n0 ).
thf(zip_derived_cl81,plain,
gt @ n1 @ n0,
inference(cnf,[status(esa)],[gt_1_0]) ).
thf(sel2_update_2,axiom,
! [I: $i,U: $i,X: $i,VAL: $i,VAL2: $i] :
( ( ( I != U )
& ( ( a_select2 @ X @ U )
= VAL ) )
=> ( ( a_select2 @ ( tptp_update2 @ X @ I @ VAL2 ) @ U )
= VAL ) ) ).
thf(zip_derived_cl66,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( ( ( a_select2 @ X1 @ X2 )
!= X0 )
| ( X3 = X2 )
| ( ( a_select2 @ ( tptp_update2 @ X1 @ X3 @ X4 ) @ X2 )
= X0 ) ),
inference(cnf,[status(esa)],[sel2_update_2]) ).
thf(zip_derived_cl848,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( ( a_select2 @ ( tptp_update2 @ X3 @ X2 @ X1 ) @ X0 )
= ( a_select2 @ X3 @ X0 ) )
| ( X2 = X0 ) ),
inference(eq_res,[status(thm)],[zip_derived_cl66]) ).
thf(zip_derived_cl848_001,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( ( a_select2 @ ( tptp_update2 @ X3 @ X2 @ X1 ) @ X0 )
= ( a_select2 @ X3 @ X0 ) )
| ( X2 = X0 ) ),
inference(eq_res,[status(thm)],[zip_derived_cl66]) ).
thf(zip_derived_cl848_002,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( ( a_select2 @ ( tptp_update2 @ X3 @ X2 @ X1 ) @ X0 )
= ( a_select2 @ X3 @ X0 ) )
| ( X2 = X0 ) ),
inference(eq_res,[status(thm)],[zip_derived_cl66]) ).
thf(zip_derived_cl848_003,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( ( a_select2 @ ( tptp_update2 @ X3 @ X2 @ X1 ) @ X0 )
= ( a_select2 @ X3 @ X0 ) )
| ( X2 = X0 ) ),
inference(eq_res,[status(thm)],[zip_derived_cl66]) ).
thf(sel3_update_2,axiom,
! [I: $i,J: $i,U: $i,V: $i,X: $i,VAL: $i,VAL2: $i] :
( ( ( I != U )
& ( J = V )
& ( ( a_select3 @ X @ U @ V )
= VAL ) )
=> ( ( a_select3 @ ( tptp_update3 @ X @ I @ J @ VAL2 ) @ U @ V )
= VAL ) ) ).
thf(zip_derived_cl59,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i] :
( ( ( a_select3 @ X1 @ X2 @ X3 )
!= X0 )
| ( X4 != X3 )
| ( X5 = X2 )
| ( ( a_select3 @ ( tptp_update3 @ X1 @ X5 @ X4 @ X6 ) @ X2 @ X3 )
= X0 ) ),
inference(cnf,[status(esa)],[sel3_update_2]) ).
thf(zip_derived_cl877,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( ( ( a_select3 @ ( tptp_update3 @ X5 @ X4 @ X3 @ X2 ) @ X1 @ X0 )
= ( a_select3 @ X5 @ X1 @ X0 ) )
| ( X4 = X1 )
| ( X3 != X0 ) ),
inference(eq_res,[status(thm)],[zip_derived_cl59]) ).
thf(zip_derived_cl877_004,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( ( ( a_select3 @ ( tptp_update3 @ X5 @ X4 @ X3 @ X2 ) @ X1 @ X0 )
= ( a_select3 @ X5 @ X1 @ X0 ) )
| ( X4 = X1 )
| ( X3 != X0 ) ),
inference(eq_res,[status(thm)],[zip_derived_cl59]) ).
thf(zip_derived_cl877_005,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( ( ( a_select3 @ ( tptp_update3 @ X5 @ X4 @ X3 @ X2 ) @ X1 @ X0 )
= ( a_select3 @ X5 @ X1 @ X0 ) )
| ( X4 = X1 )
| ( X3 != X0 ) ),
inference(eq_res,[status(thm)],[zip_derived_cl59]) ).
thf(zip_derived_cl877_006,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( ( ( a_select3 @ ( tptp_update3 @ X5 @ X4 @ X3 @ X2 ) @ X1 @ X0 )
= ( a_select3 @ X5 @ X1 @ X0 ) )
| ( X4 = X1 )
| ( X3 != X0 ) ),
inference(eq_res,[status(thm)],[zip_derived_cl59]) ).
thf(quaternion_ds1_inuse_0001,conjecture,
( true
=> ( ( ( a_select3 @ ( tptp_update3 @ ( tptp_update3 @ ( tptp_update3 @ ( tptp_update3 @ ( tptp_update3 @ ( tptp_update3 @ u_defuse @ n2 @ n0 @ use ) @ n1 @ n0 @ use ) @ n2 @ n0 @ use ) @ n0 @ n0 @ use ) @ n1 @ n0 @ use ) @ n0 @ n0 @ use ) @ n0 @ n0 )
= use )
& ( ( a_select3 @ ( tptp_update3 @ ( tptp_update3 @ ( tptp_update3 @ ( tptp_update3 @ ( tptp_update3 @ ( tptp_update3 @ u_defuse @ n2 @ n0 @ use ) @ n1 @ n0 @ use ) @ n2 @ n0 @ use ) @ n0 @ n0 @ use ) @ n1 @ n0 @ use ) @ n0 @ n0 @ use ) @ n1 @ n0 )
= use )
& ( ( a_select3 @ ( tptp_update3 @ ( tptp_update3 @ ( tptp_update3 @ ( tptp_update3 @ ( tptp_update3 @ ( tptp_update3 @ u_defuse @ n2 @ n0 @ use ) @ n1 @ n0 @ use ) @ n2 @ n0 @ use ) @ n0 @ n0 @ use ) @ n1 @ n0 @ use ) @ n0 @ n0 @ use ) @ n2 @ n0 )
= use )
& ( ( a_select2 @ ( tptp_update2 @ ( tptp_update2 @ ( tptp_update2 @ ( tptp_update2 @ ( tptp_update2 @ ( tptp_update2 @ xinit_defuse @ n5 @ use ) @ n4 @ use ) @ n5 @ use ) @ n3 @ use ) @ n4 @ use ) @ n3 @ use ) @ n3 )
= use )
& ( ( a_select2 @ ( tptp_update2 @ ( tptp_update2 @ ( tptp_update2 @ ( tptp_update2 @ ( tptp_update2 @ ( tptp_update2 @ xinit_defuse @ n5 @ use ) @ n4 @ use ) @ n5 @ use ) @ n3 @ use ) @ n4 @ use ) @ n3 @ use ) @ n4 )
= use )
& ( ( a_select2 @ ( tptp_update2 @ ( tptp_update2 @ ( tptp_update2 @ ( tptp_update2 @ ( tptp_update2 @ ( tptp_update2 @ xinit_defuse @ n5 @ use ) @ n4 @ use ) @ n5 @ use ) @ n3 @ use ) @ n4 @ use ) @ n3 @ use ) @ n5 )
= use ) ) ) ).
thf(zf_stmt_0,negated_conjecture,
~ ( true
=> ( ( ( a_select3 @ ( tptp_update3 @ ( tptp_update3 @ ( tptp_update3 @ ( tptp_update3 @ ( tptp_update3 @ ( tptp_update3 @ u_defuse @ n2 @ n0 @ use ) @ n1 @ n0 @ use ) @ n2 @ n0 @ use ) @ n0 @ n0 @ use ) @ n1 @ n0 @ use ) @ n0 @ n0 @ use ) @ n0 @ n0 )
= use )
& ( ( a_select3 @ ( tptp_update3 @ ( tptp_update3 @ ( tptp_update3 @ ( tptp_update3 @ ( tptp_update3 @ ( tptp_update3 @ u_defuse @ n2 @ n0 @ use ) @ n1 @ n0 @ use ) @ n2 @ n0 @ use ) @ n0 @ n0 @ use ) @ n1 @ n0 @ use ) @ n0 @ n0 @ use ) @ n1 @ n0 )
= use )
& ( ( a_select3 @ ( tptp_update3 @ ( tptp_update3 @ ( tptp_update3 @ ( tptp_update3 @ ( tptp_update3 @ ( tptp_update3 @ u_defuse @ n2 @ n0 @ use ) @ n1 @ n0 @ use ) @ n2 @ n0 @ use ) @ n0 @ n0 @ use ) @ n1 @ n0 @ use ) @ n0 @ n0 @ use ) @ n2 @ n0 )
= use )
& ( ( a_select2 @ ( tptp_update2 @ ( tptp_update2 @ ( tptp_update2 @ ( tptp_update2 @ ( tptp_update2 @ ( tptp_update2 @ xinit_defuse @ n5 @ use ) @ n4 @ use ) @ n5 @ use ) @ n3 @ use ) @ n4 @ use ) @ n3 @ use ) @ n3 )
= use )
& ( ( a_select2 @ ( tptp_update2 @ ( tptp_update2 @ ( tptp_update2 @ ( tptp_update2 @ ( tptp_update2 @ ( tptp_update2 @ xinit_defuse @ n5 @ use ) @ n4 @ use ) @ n5 @ use ) @ n3 @ use ) @ n4 @ use ) @ n3 @ use ) @ n4 )
= use )
& ( ( a_select2 @ ( tptp_update2 @ ( tptp_update2 @ ( tptp_update2 @ ( tptp_update2 @ ( tptp_update2 @ ( tptp_update2 @ xinit_defuse @ n5 @ use ) @ n4 @ use ) @ n5 @ use ) @ n3 @ use ) @ n4 @ use ) @ n3 @ use ) @ n5 )
= use ) ) ),
inference('cnf.neg',[status(esa)],[quaternion_ds1_inuse_0001]) ).
thf(zip_derived_cl105,plain,
( ( ( a_select3 @ ( tptp_update3 @ ( tptp_update3 @ ( tptp_update3 @ ( tptp_update3 @ ( tptp_update3 @ ( tptp_update3 @ u_defuse @ n2 @ n0 @ use ) @ n1 @ n0 @ use ) @ n2 @ n0 @ use ) @ n0 @ n0 @ use ) @ n1 @ n0 @ use ) @ n0 @ n0 @ use ) @ n0 @ n0 )
!= use )
| ( ( a_select3 @ ( tptp_update3 @ ( tptp_update3 @ ( tptp_update3 @ ( tptp_update3 @ ( tptp_update3 @ ( tptp_update3 @ u_defuse @ n2 @ n0 @ use ) @ n1 @ n0 @ use ) @ n2 @ n0 @ use ) @ n0 @ n0 @ use ) @ n1 @ n0 @ use ) @ n0 @ n0 @ use ) @ n1 @ n0 )
!= use )
| ( ( a_select3 @ ( tptp_update3 @ ( tptp_update3 @ ( tptp_update3 @ ( tptp_update3 @ ( tptp_update3 @ ( tptp_update3 @ u_defuse @ n2 @ n0 @ use ) @ n1 @ n0 @ use ) @ n2 @ n0 @ use ) @ n0 @ n0 @ use ) @ n1 @ n0 @ use ) @ n0 @ n0 @ use ) @ n2 @ n0 )
!= use )
| ( ( a_select2 @ ( tptp_update2 @ ( tptp_update2 @ ( tptp_update2 @ ( tptp_update2 @ ( tptp_update2 @ ( tptp_update2 @ xinit_defuse @ n5 @ use ) @ n4 @ use ) @ n5 @ use ) @ n3 @ use ) @ n4 @ use ) @ n3 @ use ) @ n3 )
!= use )
| ( ( a_select2 @ ( tptp_update2 @ ( tptp_update2 @ ( tptp_update2 @ ( tptp_update2 @ ( tptp_update2 @ ( tptp_update2 @ xinit_defuse @ n5 @ use ) @ n4 @ use ) @ n5 @ use ) @ n3 @ use ) @ n4 @ use ) @ n3 @ use ) @ n4 )
!= use )
| ( ( a_select2 @ ( tptp_update2 @ ( tptp_update2 @ ( tptp_update2 @ ( tptp_update2 @ ( tptp_update2 @ ( tptp_update2 @ xinit_defuse @ n5 @ use ) @ n4 @ use ) @ n5 @ use ) @ n3 @ use ) @ n4 @ use ) @ n3 @ use ) @ n5 )
!= use ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(sel3_update_1,axiom,
! [X: $i,U: $i,V: $i,VAL: $i] :
( ( a_select3 @ ( tptp_update3 @ X @ U @ V @ VAL ) @ U @ V )
= VAL ) ).
thf(zip_derived_cl58,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( a_select3 @ ( tptp_update3 @ X1 @ X2 @ X3 @ X0 ) @ X2 @ X3 )
= X0 ),
inference(cnf,[status(esa)],[sel3_update_1]) ).
thf(sel2_update_1,axiom,
! [X: $i,U: $i,VAL: $i] :
( ( a_select2 @ ( tptp_update2 @ X @ U @ VAL ) @ U )
= VAL ) ).
thf(zip_derived_cl65,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( a_select2 @ ( tptp_update2 @ X1 @ X2 @ X0 ) @ X2 )
= X0 ),
inference(cnf,[status(esa)],[sel2_update_1]) ).
thf(zip_derived_cl1087,plain,
( ( use != use )
| ( ( a_select3 @ ( tptp_update3 @ ( tptp_update3 @ ( tptp_update3 @ ( tptp_update3 @ ( tptp_update3 @ ( tptp_update3 @ u_defuse @ n2 @ n0 @ use ) @ n1 @ n0 @ use ) @ n2 @ n0 @ use ) @ n0 @ n0 @ use ) @ n1 @ n0 @ use ) @ n0 @ n0 @ use ) @ n1 @ n0 )
!= use )
| ( ( a_select3 @ ( tptp_update3 @ ( tptp_update3 @ ( tptp_update3 @ ( tptp_update3 @ ( tptp_update3 @ ( tptp_update3 @ u_defuse @ n2 @ n0 @ use ) @ n1 @ n0 @ use ) @ n2 @ n0 @ use ) @ n0 @ n0 @ use ) @ n1 @ n0 @ use ) @ n0 @ n0 @ use ) @ n2 @ n0 )
!= use )
| ( use != use )
| ( ( a_select2 @ ( tptp_update2 @ ( tptp_update2 @ ( tptp_update2 @ ( tptp_update2 @ ( tptp_update2 @ ( tptp_update2 @ xinit_defuse @ n5 @ use ) @ n4 @ use ) @ n5 @ use ) @ n3 @ use ) @ n4 @ use ) @ n3 @ use ) @ n4 )
!= use )
| ( ( a_select2 @ ( tptp_update2 @ ( tptp_update2 @ ( tptp_update2 @ ( tptp_update2 @ ( tptp_update2 @ ( tptp_update2 @ xinit_defuse @ n5 @ use ) @ n4 @ use ) @ n5 @ use ) @ n3 @ use ) @ n4 @ use ) @ n3 @ use ) @ n5 )
!= use ) ),
inference(demod,[status(thm)],[zip_derived_cl105,zip_derived_cl58,zip_derived_cl65]) ).
thf(zip_derived_cl1088,plain,
( ( ( a_select2 @ ( tptp_update2 @ ( tptp_update2 @ ( tptp_update2 @ ( tptp_update2 @ ( tptp_update2 @ ( tptp_update2 @ xinit_defuse @ n5 @ use ) @ n4 @ use ) @ n5 @ use ) @ n3 @ use ) @ n4 @ use ) @ n3 @ use ) @ n5 )
!= use )
| ( ( a_select2 @ ( tptp_update2 @ ( tptp_update2 @ ( tptp_update2 @ ( tptp_update2 @ ( tptp_update2 @ ( tptp_update2 @ xinit_defuse @ n5 @ use ) @ n4 @ use ) @ n5 @ use ) @ n3 @ use ) @ n4 @ use ) @ n3 @ use ) @ n4 )
!= use )
| ( ( a_select3 @ ( tptp_update3 @ ( tptp_update3 @ ( tptp_update3 @ ( tptp_update3 @ ( tptp_update3 @ ( tptp_update3 @ u_defuse @ n2 @ n0 @ use ) @ n1 @ n0 @ use ) @ n2 @ n0 @ use ) @ n0 @ n0 @ use ) @ n1 @ n0 @ use ) @ n0 @ n0 @ use ) @ n2 @ n0 )
!= use )
| ( ( a_select3 @ ( tptp_update3 @ ( tptp_update3 @ ( tptp_update3 @ ( tptp_update3 @ ( tptp_update3 @ ( tptp_update3 @ u_defuse @ n2 @ n0 @ use ) @ n1 @ n0 @ use ) @ n2 @ n0 @ use ) @ n0 @ n0 @ use ) @ n1 @ n0 @ use ) @ n0 @ n0 @ use ) @ n1 @ n0 )
!= use ) ),
inference(simplify,[status(thm)],[zip_derived_cl1087]) ).
thf(zip_derived_cl9973,plain,
( ( ( a_select3 @ ( tptp_update3 @ ( tptp_update3 @ ( tptp_update3 @ ( tptp_update3 @ ( tptp_update3 @ u_defuse @ n2 @ n0 @ use ) @ n1 @ n0 @ use ) @ n2 @ n0 @ use ) @ n0 @ n0 @ use ) @ n1 @ n0 @ use ) @ n2 @ n0 )
!= use )
| ( n0 != n0 )
| ( n0 = n2 )
| ( ( a_select3 @ ( tptp_update3 @ ( tptp_update3 @ ( tptp_update3 @ ( tptp_update3 @ ( tptp_update3 @ ( tptp_update3 @ u_defuse @ n2 @ n0 @ use ) @ n1 @ n0 @ use ) @ n2 @ n0 @ use ) @ n0 @ n0 @ use ) @ n1 @ n0 @ use ) @ n0 @ n0 @ use ) @ n1 @ n0 )
!= use )
| ( ( a_select2 @ ( tptp_update2 @ ( tptp_update2 @ ( tptp_update2 @ ( tptp_update2 @ ( tptp_update2 @ ( tptp_update2 @ xinit_defuse @ n5 @ use ) @ n4 @ use ) @ n5 @ use ) @ n3 @ use ) @ n4 @ use ) @ n3 @ use ) @ n4 )
!= use )
| ( ( a_select2 @ ( tptp_update2 @ ( tptp_update2 @ ( tptp_update2 @ ( tptp_update2 @ ( tptp_update2 @ ( tptp_update2 @ xinit_defuse @ n5 @ use ) @ n4 @ use ) @ n5 @ use ) @ n3 @ use ) @ n4 @ use ) @ n3 @ use ) @ n5 )
!= use ) ),
inference('sup-',[status(thm)],[zip_derived_cl877,zip_derived_cl1088]) ).
thf(zip_derived_cl9976,plain,
( ( ( a_select2 @ ( tptp_update2 @ ( tptp_update2 @ ( tptp_update2 @ ( tptp_update2 @ ( tptp_update2 @ ( tptp_update2 @ xinit_defuse @ n5 @ use ) @ n4 @ use ) @ n5 @ use ) @ n3 @ use ) @ n4 @ use ) @ n3 @ use ) @ n5 )
!= use )
| ( ( a_select2 @ ( tptp_update2 @ ( tptp_update2 @ ( tptp_update2 @ ( tptp_update2 @ ( tptp_update2 @ ( tptp_update2 @ xinit_defuse @ n5 @ use ) @ n4 @ use ) @ n5 @ use ) @ n3 @ use ) @ n4 @ use ) @ n3 @ use ) @ n4 )
!= use )
| ( ( a_select3 @ ( tptp_update3 @ ( tptp_update3 @ ( tptp_update3 @ ( tptp_update3 @ ( tptp_update3 @ ( tptp_update3 @ u_defuse @ n2 @ n0 @ use ) @ n1 @ n0 @ use ) @ n2 @ n0 @ use ) @ n0 @ n0 @ use ) @ n1 @ n0 @ use ) @ n0 @ n0 @ use ) @ n1 @ n0 )
!= use )
| ( n0 = n2 )
| ( ( a_select3 @ ( tptp_update3 @ ( tptp_update3 @ ( tptp_update3 @ ( tptp_update3 @ ( tptp_update3 @ u_defuse @ n2 @ n0 @ use ) @ n1 @ n0 @ use ) @ n2 @ n0 @ use ) @ n0 @ n0 @ use ) @ n1 @ n0 @ use ) @ n2 @ n0 )
!= use ) ),
inference(simplify,[status(thm)],[zip_derived_cl9973]) ).
thf(zip_derived_cl9977,plain,
( ( ( a_select3 @ ( tptp_update3 @ ( tptp_update3 @ ( tptp_update3 @ ( tptp_update3 @ ( tptp_update3 @ u_defuse @ n2 @ n0 @ use ) @ n1 @ n0 @ use ) @ n2 @ n0 @ use ) @ n0 @ n0 @ use ) @ n1 @ n0 @ use ) @ n1 @ n0 )
!= use )
| ( n0 != n0 )
| ( n0 = n1 )
| ( ( a_select3 @ ( tptp_update3 @ ( tptp_update3 @ ( tptp_update3 @ ( tptp_update3 @ ( tptp_update3 @ u_defuse @ n2 @ n0 @ use ) @ n1 @ n0 @ use ) @ n2 @ n0 @ use ) @ n0 @ n0 @ use ) @ n1 @ n0 @ use ) @ n2 @ n0 )
!= use )
| ( n0 = n2 )
| ( ( a_select2 @ ( tptp_update2 @ ( tptp_update2 @ ( tptp_update2 @ ( tptp_update2 @ ( tptp_update2 @ ( tptp_update2 @ xinit_defuse @ n5 @ use ) @ n4 @ use ) @ n5 @ use ) @ n3 @ use ) @ n4 @ use ) @ n3 @ use ) @ n4 )
!= use )
| ( ( a_select2 @ ( tptp_update2 @ ( tptp_update2 @ ( tptp_update2 @ ( tptp_update2 @ ( tptp_update2 @ ( tptp_update2 @ xinit_defuse @ n5 @ use ) @ n4 @ use ) @ n5 @ use ) @ n3 @ use ) @ n4 @ use ) @ n3 @ use ) @ n5 )
!= use ) ),
inference('sup-',[status(thm)],[zip_derived_cl877,zip_derived_cl9976]) ).
thf(zip_derived_cl58_007,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( a_select3 @ ( tptp_update3 @ X1 @ X2 @ X3 @ X0 ) @ X2 @ X3 )
= X0 ),
inference(cnf,[status(esa)],[sel3_update_1]) ).
thf(zip_derived_cl9978,plain,
( ( use != use )
| ( n0 != n0 )
| ( n0 = n1 )
| ( ( a_select3 @ ( tptp_update3 @ ( tptp_update3 @ ( tptp_update3 @ ( tptp_update3 @ ( tptp_update3 @ u_defuse @ n2 @ n0 @ use ) @ n1 @ n0 @ use ) @ n2 @ n0 @ use ) @ n0 @ n0 @ use ) @ n1 @ n0 @ use ) @ n2 @ n0 )
!= use )
| ( n0 = n2 )
| ( ( a_select2 @ ( tptp_update2 @ ( tptp_update2 @ ( tptp_update2 @ ( tptp_update2 @ ( tptp_update2 @ ( tptp_update2 @ xinit_defuse @ n5 @ use ) @ n4 @ use ) @ n5 @ use ) @ n3 @ use ) @ n4 @ use ) @ n3 @ use ) @ n4 )
!= use )
| ( ( a_select2 @ ( tptp_update2 @ ( tptp_update2 @ ( tptp_update2 @ ( tptp_update2 @ ( tptp_update2 @ ( tptp_update2 @ xinit_defuse @ n5 @ use ) @ n4 @ use ) @ n5 @ use ) @ n3 @ use ) @ n4 @ use ) @ n3 @ use ) @ n5 )
!= use ) ),
inference(demod,[status(thm)],[zip_derived_cl9977,zip_derived_cl58]) ).
thf(zip_derived_cl9979,plain,
( ( ( a_select2 @ ( tptp_update2 @ ( tptp_update2 @ ( tptp_update2 @ ( tptp_update2 @ ( tptp_update2 @ ( tptp_update2 @ xinit_defuse @ n5 @ use ) @ n4 @ use ) @ n5 @ use ) @ n3 @ use ) @ n4 @ use ) @ n3 @ use ) @ n5 )
!= use )
| ( ( a_select2 @ ( tptp_update2 @ ( tptp_update2 @ ( tptp_update2 @ ( tptp_update2 @ ( tptp_update2 @ ( tptp_update2 @ xinit_defuse @ n5 @ use ) @ n4 @ use ) @ n5 @ use ) @ n3 @ use ) @ n4 @ use ) @ n3 @ use ) @ n4 )
!= use )
| ( n0 = n2 )
| ( ( a_select3 @ ( tptp_update3 @ ( tptp_update3 @ ( tptp_update3 @ ( tptp_update3 @ ( tptp_update3 @ u_defuse @ n2 @ n0 @ use ) @ n1 @ n0 @ use ) @ n2 @ n0 @ use ) @ n0 @ n0 @ use ) @ n1 @ n0 @ use ) @ n2 @ n0 )
!= use )
| ( n0 = n1 ) ),
inference(simplify,[status(thm)],[zip_derived_cl9978]) ).
thf(zip_derived_cl9980,plain,
( ( ( a_select3 @ ( tptp_update3 @ ( tptp_update3 @ ( tptp_update3 @ ( tptp_update3 @ u_defuse @ n2 @ n0 @ use ) @ n1 @ n0 @ use ) @ n2 @ n0 @ use ) @ n0 @ n0 @ use ) @ n2 @ n0 )
!= use )
| ( n0 != n0 )
| ( n1 = n2 )
| ( n0 = n1 )
| ( n0 = n2 )
| ( ( a_select2 @ ( tptp_update2 @ ( tptp_update2 @ ( tptp_update2 @ ( tptp_update2 @ ( tptp_update2 @ ( tptp_update2 @ xinit_defuse @ n5 @ use ) @ n4 @ use ) @ n5 @ use ) @ n3 @ use ) @ n4 @ use ) @ n3 @ use ) @ n4 )
!= use )
| ( ( a_select2 @ ( tptp_update2 @ ( tptp_update2 @ ( tptp_update2 @ ( tptp_update2 @ ( tptp_update2 @ ( tptp_update2 @ xinit_defuse @ n5 @ use ) @ n4 @ use ) @ n5 @ use ) @ n3 @ use ) @ n4 @ use ) @ n3 @ use ) @ n5 )
!= use ) ),
inference('sup-',[status(thm)],[zip_derived_cl877,zip_derived_cl9979]) ).
thf(zip_derived_cl9981,plain,
( ( ( a_select2 @ ( tptp_update2 @ ( tptp_update2 @ ( tptp_update2 @ ( tptp_update2 @ ( tptp_update2 @ ( tptp_update2 @ xinit_defuse @ n5 @ use ) @ n4 @ use ) @ n5 @ use ) @ n3 @ use ) @ n4 @ use ) @ n3 @ use ) @ n5 )
!= use )
| ( ( a_select2 @ ( tptp_update2 @ ( tptp_update2 @ ( tptp_update2 @ ( tptp_update2 @ ( tptp_update2 @ ( tptp_update2 @ xinit_defuse @ n5 @ use ) @ n4 @ use ) @ n5 @ use ) @ n3 @ use ) @ n4 @ use ) @ n3 @ use ) @ n4 )
!= use )
| ( n0 = n2 )
| ( n0 = n1 )
| ( n1 = n2 )
| ( ( a_select3 @ ( tptp_update3 @ ( tptp_update3 @ ( tptp_update3 @ ( tptp_update3 @ u_defuse @ n2 @ n0 @ use ) @ n1 @ n0 @ use ) @ n2 @ n0 @ use ) @ n0 @ n0 @ use ) @ n2 @ n0 )
!= use ) ),
inference(simplify,[status(thm)],[zip_derived_cl9980]) ).
thf(zip_derived_cl9982,plain,
( ( ( a_select3 @ ( tptp_update3 @ ( tptp_update3 @ ( tptp_update3 @ u_defuse @ n2 @ n0 @ use ) @ n1 @ n0 @ use ) @ n2 @ n0 @ use ) @ n2 @ n0 )
!= use )
| ( n0 != n0 )
| ( n0 = n2 )
| ( n1 = n2 )
| ( n0 = n1 )
| ( n0 = n2 )
| ( ( a_select2 @ ( tptp_update2 @ ( tptp_update2 @ ( tptp_update2 @ ( tptp_update2 @ ( tptp_update2 @ ( tptp_update2 @ xinit_defuse @ n5 @ use ) @ n4 @ use ) @ n5 @ use ) @ n3 @ use ) @ n4 @ use ) @ n3 @ use ) @ n4 )
!= use )
| ( ( a_select2 @ ( tptp_update2 @ ( tptp_update2 @ ( tptp_update2 @ ( tptp_update2 @ ( tptp_update2 @ ( tptp_update2 @ xinit_defuse @ n5 @ use ) @ n4 @ use ) @ n5 @ use ) @ n3 @ use ) @ n4 @ use ) @ n3 @ use ) @ n5 )
!= use ) ),
inference('sup-',[status(thm)],[zip_derived_cl877,zip_derived_cl9981]) ).
thf(zip_derived_cl58_008,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( a_select3 @ ( tptp_update3 @ X1 @ X2 @ X3 @ X0 ) @ X2 @ X3 )
= X0 ),
inference(cnf,[status(esa)],[sel3_update_1]) ).
thf(zip_derived_cl9983,plain,
( ( use != use )
| ( n0 != n0 )
| ( n0 = n2 )
| ( n1 = n2 )
| ( n0 = n1 )
| ( n0 = n2 )
| ( ( a_select2 @ ( tptp_update2 @ ( tptp_update2 @ ( tptp_update2 @ ( tptp_update2 @ ( tptp_update2 @ ( tptp_update2 @ xinit_defuse @ n5 @ use ) @ n4 @ use ) @ n5 @ use ) @ n3 @ use ) @ n4 @ use ) @ n3 @ use ) @ n4 )
!= use )
| ( ( a_select2 @ ( tptp_update2 @ ( tptp_update2 @ ( tptp_update2 @ ( tptp_update2 @ ( tptp_update2 @ ( tptp_update2 @ xinit_defuse @ n5 @ use ) @ n4 @ use ) @ n5 @ use ) @ n3 @ use ) @ n4 @ use ) @ n3 @ use ) @ n5 )
!= use ) ),
inference(demod,[status(thm)],[zip_derived_cl9982,zip_derived_cl58]) ).
thf(zip_derived_cl9984,plain,
( ( ( a_select2 @ ( tptp_update2 @ ( tptp_update2 @ ( tptp_update2 @ ( tptp_update2 @ ( tptp_update2 @ ( tptp_update2 @ xinit_defuse @ n5 @ use ) @ n4 @ use ) @ n5 @ use ) @ n3 @ use ) @ n4 @ use ) @ n3 @ use ) @ n5 )
!= use )
| ( ( a_select2 @ ( tptp_update2 @ ( tptp_update2 @ ( tptp_update2 @ ( tptp_update2 @ ( tptp_update2 @ ( tptp_update2 @ xinit_defuse @ n5 @ use ) @ n4 @ use ) @ n5 @ use ) @ n3 @ use ) @ n4 @ use ) @ n3 @ use ) @ n4 )
!= use )
| ( n0 = n1 )
| ( n1 = n2 )
| ( n0 = n2 ) ),
inference(simplify,[status(thm)],[zip_derived_cl9983]) ).
thf(zip_derived_cl9985,plain,
( ( ( a_select2 @ ( tptp_update2 @ ( tptp_update2 @ ( tptp_update2 @ ( tptp_update2 @ ( tptp_update2 @ xinit_defuse @ n5 @ use ) @ n4 @ use ) @ n5 @ use ) @ n3 @ use ) @ n4 @ use ) @ n5 )
!= use )
| ( n3 = n5 )
| ( n0 = n2 )
| ( n1 = n2 )
| ( n0 = n1 )
| ( ( a_select2 @ ( tptp_update2 @ ( tptp_update2 @ ( tptp_update2 @ ( tptp_update2 @ ( tptp_update2 @ ( tptp_update2 @ xinit_defuse @ n5 @ use ) @ n4 @ use ) @ n5 @ use ) @ n3 @ use ) @ n4 @ use ) @ n3 @ use ) @ n4 )
!= use ) ),
inference('sup-',[status(thm)],[zip_derived_cl848,zip_derived_cl9984]) ).
thf(zip_derived_cl9986,plain,
( ( ( a_select2 @ ( tptp_update2 @ ( tptp_update2 @ ( tptp_update2 @ ( tptp_update2 @ ( tptp_update2 @ xinit_defuse @ n5 @ use ) @ n4 @ use ) @ n5 @ use ) @ n3 @ use ) @ n4 @ use ) @ n4 )
!= use )
| ( n3 = n4 )
| ( n0 = n1 )
| ( n1 = n2 )
| ( n0 = n2 )
| ( n3 = n5 )
| ( ( a_select2 @ ( tptp_update2 @ ( tptp_update2 @ ( tptp_update2 @ ( tptp_update2 @ ( tptp_update2 @ xinit_defuse @ n5 @ use ) @ n4 @ use ) @ n5 @ use ) @ n3 @ use ) @ n4 @ use ) @ n5 )
!= use ) ),
inference('sup-',[status(thm)],[zip_derived_cl848,zip_derived_cl9985]) ).
thf(zip_derived_cl65_009,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( a_select2 @ ( tptp_update2 @ X1 @ X2 @ X0 ) @ X2 )
= X0 ),
inference(cnf,[status(esa)],[sel2_update_1]) ).
thf(zip_derived_cl9987,plain,
( ( use != use )
| ( n3 = n4 )
| ( n0 = n1 )
| ( n1 = n2 )
| ( n0 = n2 )
| ( n3 = n5 )
| ( ( a_select2 @ ( tptp_update2 @ ( tptp_update2 @ ( tptp_update2 @ ( tptp_update2 @ ( tptp_update2 @ xinit_defuse @ n5 @ use ) @ n4 @ use ) @ n5 @ use ) @ n3 @ use ) @ n4 @ use ) @ n5 )
!= use ) ),
inference(demod,[status(thm)],[zip_derived_cl9986,zip_derived_cl65]) ).
thf(zip_derived_cl9988,plain,
( ( ( a_select2 @ ( tptp_update2 @ ( tptp_update2 @ ( tptp_update2 @ ( tptp_update2 @ ( tptp_update2 @ xinit_defuse @ n5 @ use ) @ n4 @ use ) @ n5 @ use ) @ n3 @ use ) @ n4 @ use ) @ n5 )
!= use )
| ( n3 = n5 )
| ( n0 = n2 )
| ( n1 = n2 )
| ( n0 = n1 )
| ( n3 = n4 ) ),
inference(simplify,[status(thm)],[zip_derived_cl9987]) ).
thf(zip_derived_cl9989,plain,
( ( ( a_select2 @ ( tptp_update2 @ ( tptp_update2 @ ( tptp_update2 @ ( tptp_update2 @ xinit_defuse @ n5 @ use ) @ n4 @ use ) @ n5 @ use ) @ n3 @ use ) @ n5 )
!= use )
| ( n4 = n5 )
| ( n3 = n4 )
| ( n0 = n1 )
| ( n1 = n2 )
| ( n0 = n2 )
| ( n3 = n5 ) ),
inference('sup-',[status(thm)],[zip_derived_cl848,zip_derived_cl9988]) ).
thf(zip_derived_cl9990,plain,
( ( ( a_select2 @ ( tptp_update2 @ ( tptp_update2 @ ( tptp_update2 @ xinit_defuse @ n5 @ use ) @ n4 @ use ) @ n5 @ use ) @ n5 )
!= use )
| ( n3 = n5 )
| ( n3 = n5 )
| ( n0 = n2 )
| ( n1 = n2 )
| ( n0 = n1 )
| ( n3 = n4 )
| ( n4 = n5 ) ),
inference('sup-',[status(thm)],[zip_derived_cl848,zip_derived_cl9989]) ).
thf(zip_derived_cl65_010,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( a_select2 @ ( tptp_update2 @ X1 @ X2 @ X0 ) @ X2 )
= X0 ),
inference(cnf,[status(esa)],[sel2_update_1]) ).
thf(zip_derived_cl9991,plain,
( ( use != use )
| ( n3 = n5 )
| ( n3 = n5 )
| ( n0 = n2 )
| ( n1 = n2 )
| ( n0 = n1 )
| ( n3 = n4 )
| ( n4 = n5 ) ),
inference(demod,[status(thm)],[zip_derived_cl9990,zip_derived_cl65]) ).
thf(zip_derived_cl9992,plain,
( ( n4 = n5 )
| ( n3 = n4 )
| ( n0 = n1 )
| ( n1 = n2 )
| ( n0 = n2 )
| ( n3 = n5 ) ),
inference(simplify,[status(thm)],[zip_derived_cl9991]) ).
thf(successor_5,axiom,
( ( succ @ ( succ @ ( succ @ ( succ @ ( succ @ n0 ) ) ) ) )
= n5 ) ).
thf(zip_derived_cl100,plain,
( ( succ @ ( succ @ ( succ @ ( succ @ ( succ @ n0 ) ) ) ) )
= n5 ),
inference(cnf,[status(esa)],[successor_5]) ).
thf(successor_1,axiom,
( ( succ @ n0 )
= n1 ) ).
thf(zip_derived_cl101,plain,
( ( succ @ n0 )
= n1 ),
inference(cnf,[status(esa)],[successor_1]) ).
thf(successor_2,axiom,
( ( succ @ ( succ @ n0 ) )
= n2 ) ).
thf(zip_derived_cl102,plain,
( ( succ @ ( succ @ n0 ) )
= n2 ),
inference(cnf,[status(esa)],[successor_2]) ).
thf(zip_derived_cl101_011,plain,
( ( succ @ n0 )
= n1 ),
inference(cnf,[status(esa)],[successor_1]) ).
thf(zip_derived_cl647,plain,
( ( succ @ n1 )
= n2 ),
inference(demod,[status(thm)],[zip_derived_cl102,zip_derived_cl101]) ).
thf(successor_3,axiom,
( ( succ @ ( succ @ ( succ @ n0 ) ) )
= n3 ) ).
thf(zip_derived_cl103,plain,
( ( succ @ ( succ @ ( succ @ n0 ) ) )
= n3 ),
inference(cnf,[status(esa)],[successor_3]) ).
thf(zip_derived_cl101_012,plain,
( ( succ @ n0 )
= n1 ),
inference(cnf,[status(esa)],[successor_1]) ).
thf(zip_derived_cl647_013,plain,
( ( succ @ n1 )
= n2 ),
inference(demod,[status(thm)],[zip_derived_cl102,zip_derived_cl101]) ).
thf(zip_derived_cl650,plain,
( ( succ @ n2 )
= n3 ),
inference(demod,[status(thm)],[zip_derived_cl103,zip_derived_cl101,zip_derived_cl647]) ).
thf(successor_4,axiom,
( ( succ @ ( succ @ ( succ @ ( succ @ n0 ) ) ) )
= n4 ) ).
thf(zip_derived_cl99,plain,
( ( succ @ ( succ @ ( succ @ ( succ @ n0 ) ) ) )
= n4 ),
inference(cnf,[status(esa)],[successor_4]) ).
thf(zip_derived_cl101_014,plain,
( ( succ @ n0 )
= n1 ),
inference(cnf,[status(esa)],[successor_1]) ).
thf(zip_derived_cl647_015,plain,
( ( succ @ n1 )
= n2 ),
inference(demod,[status(thm)],[zip_derived_cl102,zip_derived_cl101]) ).
thf(zip_derived_cl650_016,plain,
( ( succ @ n2 )
= n3 ),
inference(demod,[status(thm)],[zip_derived_cl103,zip_derived_cl101,zip_derived_cl647]) ).
thf(zip_derived_cl741,plain,
( ( succ @ n3 )
= n4 ),
inference(demod,[status(thm)],[zip_derived_cl99,zip_derived_cl101,zip_derived_cl647,zip_derived_cl650]) ).
thf(zip_derived_cl804,plain,
( ( succ @ n4 )
= n5 ),
inference(demod,[status(thm)],[zip_derived_cl100,zip_derived_cl101,zip_derived_cl647,zip_derived_cl650,zip_derived_cl741]) ).
thf(zip_derived_cl741_017,plain,
( ( succ @ n3 )
= n4 ),
inference(demod,[status(thm)],[zip_derived_cl99,zip_derived_cl101,zip_derived_cl647,zip_derived_cl650]) ).
thf(leq_succ_succ,axiom,
! [X: $i,Y: $i] :
( ( leq @ ( succ @ X ) @ ( succ @ Y ) )
<=> ( leq @ X @ Y ) ) ).
thf(zip_derived_cl55,plain,
! [X0: $i,X1: $i] :
( ( leq @ X0 @ X1 )
| ~ ( leq @ ( succ @ X0 ) @ ( succ @ X1 ) ) ),
inference(cnf,[status(esa)],[leq_succ_succ]) ).
thf(zip_derived_cl745,plain,
! [X0: $i] :
( ~ ( leq @ ( succ @ X0 ) @ n4 )
| ( leq @ X0 @ n3 ) ),
inference('sup-',[status(thm)],[zip_derived_cl741,zip_derived_cl55]) ).
thf(zip_derived_cl5401,plain,
( ~ ( leq @ n5 @ n4 )
| ( leq @ n4 @ n3 ) ),
inference('sup-',[status(thm)],[zip_derived_cl804,zip_derived_cl745]) ).
thf(zip_derived_cl741_018,plain,
( ( succ @ n3 )
= n4 ),
inference(demod,[status(thm)],[zip_derived_cl99,zip_derived_cl101,zip_derived_cl647,zip_derived_cl650]) ).
thf(zip_derived_cl650_019,plain,
( ( succ @ n2 )
= n3 ),
inference(demod,[status(thm)],[zip_derived_cl103,zip_derived_cl101,zip_derived_cl647]) ).
thf(zip_derived_cl55_020,plain,
! [X0: $i,X1: $i] :
( ( leq @ X0 @ X1 )
| ~ ( leq @ ( succ @ X0 ) @ ( succ @ X1 ) ) ),
inference(cnf,[status(esa)],[leq_succ_succ]) ).
thf(zip_derived_cl679,plain,
! [X0: $i] :
( ~ ( leq @ ( succ @ X0 ) @ n3 )
| ( leq @ X0 @ n2 ) ),
inference('sup-',[status(thm)],[zip_derived_cl650,zip_derived_cl55]) ).
thf(zip_derived_cl3195,plain,
( ~ ( leq @ n4 @ n3 )
| ( leq @ n3 @ n2 ) ),
inference('sup-',[status(thm)],[zip_derived_cl741,zip_derived_cl679]) ).
thf(zip_derived_cl650_021,plain,
( ( succ @ n2 )
= n3 ),
inference(demod,[status(thm)],[zip_derived_cl103,zip_derived_cl101,zip_derived_cl647]) ).
thf(zip_derived_cl647_022,plain,
( ( succ @ n1 )
= n2 ),
inference(demod,[status(thm)],[zip_derived_cl102,zip_derived_cl101]) ).
thf(zip_derived_cl55_023,plain,
! [X0: $i,X1: $i] :
( ( leq @ X0 @ X1 )
| ~ ( leq @ ( succ @ X0 ) @ ( succ @ X1 ) ) ),
inference(cnf,[status(esa)],[leq_succ_succ]) ).
thf(zip_derived_cl678,plain,
! [X0: $i] :
( ~ ( leq @ ( succ @ X0 ) @ n2 )
| ( leq @ X0 @ n1 ) ),
inference('sup-',[status(thm)],[zip_derived_cl647,zip_derived_cl55]) ).
thf(zip_derived_cl3086,plain,
( ~ ( leq @ n3 @ n2 )
| ( leq @ n2 @ n1 ) ),
inference('sup-',[status(thm)],[zip_derived_cl650,zip_derived_cl678]) ).
thf(zip_derived_cl647_024,plain,
( ( succ @ n1 )
= n2 ),
inference(demod,[status(thm)],[zip_derived_cl102,zip_derived_cl101]) ).
thf(zip_derived_cl101_025,plain,
( ( succ @ n0 )
= n1 ),
inference(cnf,[status(esa)],[successor_1]) ).
thf(zip_derived_cl55_026,plain,
! [X0: $i,X1: $i] :
( ( leq @ X0 @ X1 )
| ~ ( leq @ ( succ @ X0 ) @ ( succ @ X1 ) ) ),
inference(cnf,[status(esa)],[leq_succ_succ]) ).
thf(zip_derived_cl676,plain,
! [X0: $i] :
( ~ ( leq @ ( succ @ X0 ) @ n1 )
| ( leq @ X0 @ n0 ) ),
inference('sup-',[status(thm)],[zip_derived_cl101,zip_derived_cl55]) ).
thf(zip_derived_cl2938,plain,
( ~ ( leq @ n2 @ n1 )
| ( leq @ n1 @ n0 ) ),
inference('sup-',[status(thm)],[zip_derived_cl647,zip_derived_cl676]) ).
thf(leq_succ_gt_equiv,axiom,
! [X: $i,Y: $i] :
( ( leq @ X @ Y )
<=> ( gt @ ( succ @ Y ) @ X ) ) ).
thf(zip_derived_cl9,plain,
! [X0: $i,X1: $i] :
( ( gt @ ( succ @ X0 ) @ X1 )
| ~ ( leq @ X1 @ X0 ) ),
inference(cnf,[status(esa)],[leq_succ_gt_equiv]) ).
thf(zip_derived_cl647_027,plain,
( ( succ @ n1 )
= n2 ),
inference(demod,[status(thm)],[zip_derived_cl102,zip_derived_cl101]) ).
thf(zip_derived_cl101_028,plain,
( ( succ @ n0 )
= n1 ),
inference(cnf,[status(esa)],[successor_1]) ).
thf(zip_derived_cl56,plain,
! [X0: $i,X1: $i] :
( ( leq @ ( succ @ X0 ) @ ( succ @ X1 ) )
| ~ ( leq @ X0 @ X1 ) ),
inference(cnf,[status(esa)],[leq_succ_succ]) ).
thf(zip_derived_cl770,plain,
! [X0: $i] :
( ( leq @ ( succ @ X0 ) @ n1 )
| ~ ( leq @ X0 @ n0 ) ),
inference('sup+',[status(thm)],[zip_derived_cl101,zip_derived_cl56]) ).
thf(zip_derived_cl6445,plain,
( ( leq @ n2 @ n1 )
| ~ ( leq @ n1 @ n0 ) ),
inference('sup+',[status(thm)],[zip_derived_cl647,zip_derived_cl770]) ).
thf(zip_derived_cl6592,plain,
( ( gt @ ( succ @ n1 ) @ n2 )
| ~ ( leq @ n1 @ n0 ) ),
inference('sup+',[status(thm)],[zip_derived_cl9,zip_derived_cl6445]) ).
thf(zip_derived_cl647_029,plain,
( ( succ @ n1 )
= n2 ),
inference(demod,[status(thm)],[zip_derived_cl102,zip_derived_cl101]) ).
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_cl6602,plain,
~ ( leq @ n1 @ n0 ),
inference(demod,[status(thm)],[zip_derived_cl6592,zip_derived_cl647,zip_derived_cl2]) ).
thf(zip_derived_cl6644,plain,
~ ( leq @ n2 @ n1 ),
inference(demod,[status(thm)],[zip_derived_cl2938,zip_derived_cl6602]) ).
thf(zip_derived_cl6728,plain,
~ ( leq @ n3 @ n2 ),
inference(demod,[status(thm)],[zip_derived_cl3086,zip_derived_cl6644]) ).
thf(zip_derived_cl6745,plain,
~ ( leq @ n4 @ n3 ),
inference(demod,[status(thm)],[zip_derived_cl3195,zip_derived_cl6728]) ).
thf(zip_derived_cl6832,plain,
~ ( leq @ n5 @ n4 ),
inference(demod,[status(thm)],[zip_derived_cl5401,zip_derived_cl6745]) ).
thf(zip_derived_cl10080,plain,
( ~ ( leq @ n4 @ n4 )
| ( n3 = n5 )
| ( n0 = n2 )
| ( n1 = n2 )
| ( n0 = n1 )
| ( n3 = n4 ) ),
inference('sup-',[status(thm)],[zip_derived_cl9992,zip_derived_cl6832]) ).
thf(reflexivity_leq,axiom,
! [X: $i] : ( leq @ X @ X ) ).
thf(zip_derived_cl3,plain,
! [X0: $i] : ( leq @ X0 @ X0 ),
inference(cnf,[status(esa)],[reflexivity_leq]) ).
thf(zip_derived_cl10135,plain,
( ( n3 = n5 )
| ( n0 = n2 )
| ( n1 = n2 )
| ( n0 = n1 )
| ( n3 = n4 ) ),
inference(demod,[status(thm)],[zip_derived_cl10080,zip_derived_cl3]) ).
thf(zip_derived_cl804_030,plain,
( ( succ @ n4 )
= n5 ),
inference(demod,[status(thm)],[zip_derived_cl100,zip_derived_cl101,zip_derived_cl647,zip_derived_cl650,zip_derived_cl741]) ).
thf(leq_succ_gt,axiom,
! [X: $i,Y: $i] :
( ( leq @ ( succ @ X ) @ Y )
=> ( gt @ Y @ X ) ) ).
thf(zip_derived_cl57,plain,
! [X0: $i,X1: $i] :
( ( gt @ X0 @ X1 )
| ~ ( leq @ ( succ @ X1 ) @ X0 ) ),
inference(cnf,[status(esa)],[leq_succ_gt]) ).
thf(zip_derived_cl811,plain,
! [X0: $i] :
( ~ ( leq @ n5 @ X0 )
| ( gt @ X0 @ n4 ) ),
inference('sup-',[status(thm)],[zip_derived_cl804,zip_derived_cl57]) ).
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_cl923,plain,
! [X0: $i] :
( ( gt @ X0 @ n4 )
| ~ ( gt @ X0 @ n5 ) ),
inference('sup+',[status(thm)],[zip_derived_cl811,zip_derived_cl5]) ).
thf(gt_succ,axiom,
! [X: $i] : ( gt @ ( succ @ X ) @ X ) ).
thf(zip_derived_cl7,plain,
! [X0: $i] : ( gt @ ( succ @ X0 ) @ X0 ),
inference(cnf,[status(esa)],[gt_succ]) ).
thf(zip_derived_cl1240,plain,
gt @ ( succ @ n5 ) @ n4,
inference('sup+',[status(thm)],[zip_derived_cl923,zip_derived_cl7]) ).
thf(zip_derived_cl10167,plain,
( ( gt @ ( succ @ n3 ) @ n4 )
| ( n3 = n4 )
| ( n0 = n1 )
| ( n1 = n2 )
| ( n0 = n2 ) ),
inference('sup+',[status(thm)],[zip_derived_cl10135,zip_derived_cl1240]) ).
thf(zip_derived_cl741_031,plain,
( ( succ @ n3 )
= n4 ),
inference(demod,[status(thm)],[zip_derived_cl99,zip_derived_cl101,zip_derived_cl647,zip_derived_cl650]) ).
thf(zip_derived_cl2_032,plain,
! [X0: $i] :
~ ( gt @ X0 @ X0 ),
inference(cnf,[status(esa)],[irreflexivity_gt]) ).
thf(zip_derived_cl10240,plain,
( ( n3 = n4 )
| ( n0 = n1 )
| ( n1 = n2 )
| ( n0 = n2 ) ),
inference(demod,[status(thm)],[zip_derived_cl10167,zip_derived_cl741,zip_derived_cl2]) ).
thf(zip_derived_cl6745_033,plain,
~ ( leq @ n4 @ n3 ),
inference(demod,[status(thm)],[zip_derived_cl3195,zip_derived_cl6728]) ).
thf(zip_derived_cl10340,plain,
( ~ ( leq @ n3 @ n3 )
| ( n0 = n2 )
| ( n1 = n2 )
| ( n0 = n1 ) ),
inference('sup-',[status(thm)],[zip_derived_cl10240,zip_derived_cl6745]) ).
thf(zip_derived_cl3_034,plain,
! [X0: $i] : ( leq @ X0 @ X0 ),
inference(cnf,[status(esa)],[reflexivity_leq]) ).
thf(zip_derived_cl10352,plain,
( ( n0 = n2 )
| ( n1 = n2 )
| ( n0 = n1 ) ),
inference(demod,[status(thm)],[zip_derived_cl10340,zip_derived_cl3]) ).
thf(zip_derived_cl6644_035,plain,
~ ( leq @ n2 @ n1 ),
inference(demod,[status(thm)],[zip_derived_cl2938,zip_derived_cl6602]) ).
thf(zip_derived_cl10411,plain,
( ~ ( leq @ n1 @ n1 )
| ( n0 = n1 )
| ( n0 = n2 ) ),
inference('sup-',[status(thm)],[zip_derived_cl10352,zip_derived_cl6644]) ).
thf(zip_derived_cl3_036,plain,
! [X0: $i] : ( leq @ X0 @ X0 ),
inference(cnf,[status(esa)],[reflexivity_leq]) ).
thf(zip_derived_cl10426,plain,
( ( n0 = n1 )
| ( n0 = n2 ) ),
inference(demod,[status(thm)],[zip_derived_cl10411,zip_derived_cl3]) ).
thf(gt_2_1,axiom,
gt @ n2 @ n1 ).
thf(zip_derived_cl86,plain,
gt @ n2 @ n1,
inference(cnf,[status(esa)],[gt_2_1]) ).
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_cl619,plain,
! [X0: $i] :
( ( gt @ n2 @ X0 )
| ~ ( gt @ n1 @ X0 ) ),
inference('sup-',[status(thm)],[zip_derived_cl86,zip_derived_cl1]) ).
thf(zip_derived_cl2_037,plain,
! [X0: $i] :
~ ( gt @ X0 @ X0 ),
inference(cnf,[status(esa)],[irreflexivity_gt]) ).
thf(zip_derived_cl1766,plain,
~ ( gt @ n1 @ n2 ),
inference('sup-',[status(thm)],[zip_derived_cl619,zip_derived_cl2]) ).
thf(zip_derived_cl10464,plain,
( ~ ( gt @ n1 @ n0 )
| ( n0 = n1 ) ),
inference('sup-',[status(thm)],[zip_derived_cl10426,zip_derived_cl1766]) ).
thf(zip_derived_cl81_038,plain,
gt @ n1 @ n0,
inference(cnf,[status(esa)],[gt_1_0]) ).
thf(zip_derived_cl10494,plain,
n0 = n1,
inference(demod,[status(thm)],[zip_derived_cl10464,zip_derived_cl81]) ).
thf(zip_derived_cl2_039,plain,
! [X0: $i] :
~ ( gt @ X0 @ X0 ),
inference(cnf,[status(esa)],[irreflexivity_gt]) ).
thf(zip_derived_cl10500,plain,
$false,
inference(demod,[status(thm)],[zip_derived_cl81,zip_derived_cl10494,zip_derived_cl2]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : SWV089+1 : TPTP v8.1.2. Bugfixed v3.3.0.
% 0.07/0.13 % Command : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.2MauFiuAUi true
% 0.14/0.34 % Computer : n022.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 04:48:54 EDT 2023
% 0.14/0.34 % CPUTime :
% 0.14/0.34 % Running portfolio for 300 s
% 0.14/0.34 % File : /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.14/0.34 % Number of cores: 8
% 0.14/0.35 % Python version: Python 3.6.8
% 0.14/0.35 % Running in FO mode
% 0.21/0.62 % Total configuration time : 435
% 0.21/0.62 % Estimated wc time : 1092
% 0.21/0.62 % Estimated cpu time (7 cpus) : 156.0
% 0.52/0.70 % /export/starexec/sandbox2/solver/bin/fo/fo6_bce.sh running for 75s
% 0.52/0.72 % /export/starexec/sandbox2/solver/bin/fo/fo3_bce.sh running for 75s
% 0.56/0.74 % /export/starexec/sandbox2/solver/bin/fo/fo1_av.sh running for 75s
% 0.56/0.74 % /export/starexec/sandbox2/solver/bin/fo/fo13.sh running for 50s
% 0.56/0.75 % /export/starexec/sandbox2/solver/bin/fo/fo7.sh running for 63s
% 0.56/0.75 % /export/starexec/sandbox2/solver/bin/fo/fo5.sh running for 50s
% 0.56/0.75 % /export/starexec/sandbox2/solver/bin/fo/fo4.sh running for 50s
% 8.63/1.83 % Solved by fo/fo3_bce.sh.
% 8.63/1.83 % BCE start: 106
% 8.63/1.83 % BCE eliminated: 2
% 8.63/1.83 % PE start: 104
% 8.63/1.83 logic: eq
% 8.63/1.83 % PE eliminated: 3
% 8.63/1.83 % done 1615 iterations in 1.070s
% 8.63/1.83 % SZS status Theorem for '/export/starexec/sandbox2/benchmark/theBenchmark.p'
% 8.63/1.83 % SZS output start Refutation
% See solution above
% 8.63/1.83
% 8.63/1.83
% 8.63/1.83 % Terminating...
% 8.63/1.95 % Runner terminated.
% 8.63/1.96 % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------