%------------------------------------------------------------------------------
% File : LEO-II---2.3.1
% Problem : SWV428^2 : TPTP v9.3.1. Released v3.6.0.
% Transfm : none
% Format : tptp:raw
% Command : leo --cores 7 --timeout 300 --proofoutput 1 --foatp e --atp e=/export/starexec/sandbox2/solver/bin/eprover /export/starexec/sandbox2/benchmark/theBenchmark.p
% Computer : n020.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8046.5625MB
% OS : Linux 6.8.0-71-generic
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Wed Oct 7 10:57:43 AM UTC 2026
% Result : Theorem 81.10s 13.75s
% Output : CNFRefutation 81.10s
% Verified :
% SZS Type : Refutation
% Derivation depth : 28
% Number of leaves : 30
% Syntax : Number of formulae : 171 ( 65 unt; 0 typ; 24 def)
% Number of atoms : 1545 ( 426 equ; 0 cnn)
% Maximal formula atoms : 12 ( 9 avg)
% Number of connectives : 2840 ( 495 ~; 521 |; 18 &;1787 @)
% ( 0 <=>; 19 =>; 0 <=; 0 <~>)
% Maximal formula depth : 10 ( 4 avg)
% Number of types : 3 ( 1 usr)
% Number of type conns : 74 ( 74 >; 0 *; 0 +; 0 <<)
% Number of symbols : 43 ( 40 usr; 5 con; 0-3 aty)
% Number of variables : 499 ( 39 ^; 456 !; 4 ?; 499 :)
% Comments :
%------------------------------------------------------------------------------
thf(tp_individuals,type,
individuals: $tType ).
thf(tp_admin,type,
admin: $i > $o ).
thf(tp_bob,type,
bob: $i > $o ).
thf(tp_current_world,type,
current_world: $i ).
thf(tp_deletefile1,type,
deletefile1: $i > $o ).
thf(tp_icl_and,type,
icl_and: ( $i > $o ) > ( $i > $o ) > $i > $o ).
thf(tp_icl_atom,type,
icl_atom: ( $i > $o ) > $i > $o ).
thf(tp_icl_false,type,
icl_false: $i > $o ).
thf(tp_icl_impl,type,
icl_impl: ( $i > $o ) > ( $i > $o ) > $i > $o ).
thf(tp_icl_or,type,
icl_or: ( $i > $o ) > ( $i > $o ) > $i > $o ).
thf(tp_icl_princ,type,
icl_princ: ( $i > $o ) > $i > $o ).
thf(tp_icl_says,type,
icl_says: ( $i > $o ) > ( $i > $o ) > $i > $o ).
thf(tp_icl_true,type,
icl_true: $i > $o ).
thf(tp_iclval,type,
iclval: ( $i > $o ) > $o ).
thf(tp_mall,type,
mall: ( individuals > $i > $o ) > $i > $o ).
thf(tp_mand,type,
mand: ( $i > $o ) > ( $i > $o ) > $i > $o ).
thf(tp_mbox,type,
mbox: ( $i > $i > $o ) > ( $i > $o ) > $i > $o ).
thf(tp_mcountersatisfiable,type,
mcountersatisfiable: ( $i > $o ) > $o ).
thf(tp_mdia,type,
mdia: ( $i > $i > $o ) > ( $i > $o ) > $i > $o ).
thf(tp_mexists,type,
mexists: ( individuals > $i > $o ) > $i > $o ).
thf(tp_mfalse,type,
mfalse: $i > $o ).
thf(tp_miff,type,
miff: ( $i > $o ) > ( $i > $o ) > $i > $o ).
thf(tp_mimpl,type,
mimpl: ( $i > $o ) > ( $i > $o ) > $i > $o ).
thf(tp_minvalid,type,
minvalid: ( $i > $o ) > $o ).
thf(tp_mnot,type,
mnot: ( $i > $o ) > $i > $o ).
thf(tp_mor,type,
mor: ( $i > $o ) > ( $i > $o ) > $i > $o ).
thf(tp_msatisfiable,type,
msatisfiable: ( $i > $o ) > $o ).
thf(tp_mtrue,type,
mtrue: $i > $o ).
thf(tp_mvalid,type,
mvalid: ( $i > $o ) > $o ).
thf(tp_prop_a,type,
prop_a: $i > $o ).
thf(tp_prop_b,type,
prop_b: $i > $o ).
thf(tp_prop_c,type,
prop_c: $i > $o ).
thf(tp_rel,type,
rel: $i > $i > $o ).
thf(tp_sK1_SY5,type,
sK1_SY5: $i ).
thf(tp_sK2_SY226,type,
sK2_SY226: $i ).
thf(tp_sK3_SY78,type,
sK3_SY78: $i > $i > $i > $i ).
thf(tp_sK4_SY227,type,
sK4_SY227: $i > $i > $i > $i ).
thf(tp_sK5_SY145,type,
sK5_SY145: $i > $i > $i ).
thf(tp_sK6_SY228,type,
sK6_SY228: $i > $i > $i ).
thf(tp_sK7_SY197,type,
sK7_SY197: $i > ( $i > $o ) > $i ).
thf(tp_sK8_SY222,type,
sK8_SY222: $i > ( $i > $o ) > $i ).
thf(icl_and,definition,
( icl_and
= ( ^ [A: $i > $o,B: $i > $o] : ( mand @ A @ B ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',icl_and) ).
thf(icl_atom,definition,
( icl_atom
= ( ^ [P: $i > $o] : ( mbox @ rel @ P ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',icl_atom) ).
thf(icl_false,definition,
icl_false = mfalse,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',icl_false) ).
thf(icl_impl,definition,
( icl_impl
= ( ^ [A: $i > $o,B: $i > $o] : ( mbox @ rel @ ( mimpl @ A @ B ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',icl_impl) ).
thf(icl_or,definition,
( icl_or
= ( ^ [A: $i > $o,B: $i > $o] : ( mor @ A @ B ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',icl_or) ).
thf(icl_princ,definition,
( icl_princ
= ( ^ [P: $i > $o] : P ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',icl_princ) ).
thf(icl_says,definition,
( icl_says
= ( ^ [A: $i > $o,S: $i > $o] : ( mbox @ rel @ ( mor @ A @ S ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',icl_says) ).
thf(icl_true,definition,
icl_true = mtrue,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',icl_true) ).
thf(iclval,definition,
( iclval
= ( ^ [X: $i > $o] : ( mvalid @ X ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',icl_s4_valid) ).
thf(mall,definition,
( mall
= ( ^ [P: individuals > $i > $o,W: $i] :
! [X: individuals] : ( P @ X @ W ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mall) ).
thf(mand,definition,
( mand
= ( ^ [X: $i > $o,Y: $i > $o,U: $i] :
( ( X @ U )
& ( Y @ U ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mand) ).
thf(mbox,definition,
( mbox
= ( ^ [R: $i > $i > $o,P: $i > $o,X: $i] :
! [Y: $i] :
( ( R @ X @ Y )
=> ( P @ Y ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mbox) ).
thf(mcountersatisfiable,definition,
( mcountersatisfiable
= ( ^ [P: $i > $o] :
? [W: $i] :
~ ( P @ W ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mcountersatisfiable) ).
thf(mdia,definition,
( mdia
= ( ^ [R: $i > $i > $o,P: $i > $o,X: $i] :
? [Y: $i] :
( ( R @ X @ Y )
& ( P @ Y ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',individuals_decl) ).
thf(mexists,definition,
( mexists
= ( ^ [P: individuals > $i > $o,W: $i] :
? [X: individuals] : ( P @ X @ W ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mexists) ).
thf(mfalse,definition,
( mfalse
= ( ^ [X: $i] : $false ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mfalse) ).
thf(miff,definition,
( miff
= ( ^ [U: $i > $o,V: $i > $o] : ( mand @ ( mimpl @ U @ V ) @ ( mimpl @ V @ U ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',miff) ).
thf(mimpl,definition,
( mimpl
= ( ^ [U: $i > $o,V: $i > $o] : ( mor @ ( mnot @ U ) @ V ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mimpl) ).
thf(minvalid,definition,
( minvalid
= ( ^ [P: $i > $o] :
! [W: $i] :
~ ( P @ W ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',minvalid) ).
thf(mnot,definition,
( mnot
= ( ^ [X: $i > $o,U: $i] :
~ ( X @ U ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mnot) ).
thf(mor,definition,
( mor
= ( ^ [X: $i > $o,Y: $i > $o,U: $i] :
( ( X @ U )
| ( Y @ U ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mor) ).
thf(msatisfiable,definition,
( msatisfiable
= ( ^ [P: $i > $o] :
? [W: $i] : ( P @ W ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',msatisfiable) ).
thf(mtrue,definition,
( mtrue
= ( ^ [X: $i] : $true ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mtrue) ).
thf(mvalid,definition,
( mvalid
= ( ^ [P: $i > $o] :
! [W: $i] : ( P @ W ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mvalid) ).
thf(1,axiom,
iclval @ ( icl_says @ ( icl_princ @ bob ) @ ( icl_atom @ deletefile1 ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax3) ).
thf(2,axiom,
iclval @ ( icl_says @ ( icl_princ @ admin ) @ ( icl_impl @ ( icl_says @ ( icl_princ @ bob ) @ ( icl_atom @ deletefile1 ) ) @ ( icl_atom @ deletefile1 ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax2) ).
thf(3,axiom,
iclval @ ( icl_impl @ ( icl_says @ ( icl_princ @ admin ) @ ( icl_atom @ deletefile1 ) ) @ ( icl_atom @ deletefile1 ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax1) ).
thf(4,axiom,
! [B: $i > $o] : ( mvalid @ ( mimpl @ ( mbox @ rel @ B ) @ ( mbox @ rel @ ( mbox @ rel @ B ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',trans_axiom) ).
thf(5,axiom,
! [A: $i > $o] : ( mvalid @ ( mimpl @ ( mbox @ rel @ A ) @ A ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',refl_axiom) ).
thf(6,conjecture,
iclval @ ( icl_atom @ deletefile1 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ex1) ).
thf(7,negated_conjecture,
( ( iclval @ ( icl_atom @ deletefile1 ) )
= $false ),
inference(negate_conjecture,[status(cth)],[6]) ).
thf(8,plain,
( ( ! [SY5: $i,SY6: $i] :
( ( rel @ SY5 @ SY6 )
=> ( deletefile1 @ SY6 ) ) )
= $false ),
inference(unfold_def,[status(thm)],[7,icl_and,icl_atom,icl_false,icl_impl,icl_or,icl_princ,icl_says,icl_true,iclval,mall,mand,mbox,mcountersatisfiable,mdia,mexists,mfalse,miff,mimpl,minvalid,mnot,mor,msatisfiable,mtrue,mvalid]) ).
thf(9,plain,
( ( ! [SY26: $i,SY27: $i] :
( ( rel @ SY26 @ SY27 )
=> ( ( bob @ SY27 )
| ! [SY25: $i] :
( ( rel @ SY27 @ SY25 )
=> ( deletefile1 @ SY25 ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[1,icl_and,icl_atom,icl_false,icl_impl,icl_or,icl_princ,icl_says,icl_true,iclval,mall,mand,mbox,mcountersatisfiable,mdia,mexists,mfalse,miff,mimpl,minvalid,mnot,mor,msatisfiable,mtrue,mvalid]) ).
thf(10,plain,
( ( ! [SY96: $i,SY97: $i] :
( ( rel @ SY96 @ SY97 )
=> ( ( admin @ SY97 )
| ! [SY92: $i] :
( ( rel @ SY97 @ SY92 )
=> ( ~ ! [SY78: $i] :
( ( rel @ SY92 @ SY78 )
=> ( ( bob @ SY78 )
| ! [SY57: $i] :
( ( rel @ SY78 @ SY57 )
=> ( deletefile1 @ SY57 ) ) ) )
| ! [SY89: $i] :
( ( rel @ SY92 @ SY89 )
=> ( deletefile1 @ SY89 ) ) ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[2,icl_and,icl_atom,icl_false,icl_impl,icl_or,icl_princ,icl_says,icl_true,iclval,mall,mand,mbox,mcountersatisfiable,mdia,mexists,mfalse,miff,mimpl,minvalid,mnot,mor,msatisfiable,mtrue,mvalid]) ).
thf(11,plain,
( ( ! [SY157: $i,SY158: $i] :
( ( rel @ SY157 @ SY158 )
=> ( ~ ! [SY145: $i] :
( ( rel @ SY158 @ SY145 )
=> ( ( admin @ SY145 )
| ! [SY124: $i] :
( ( rel @ SY145 @ SY124 )
=> ( deletefile1 @ SY124 ) ) ) )
| ! [SY156: $i] :
( ( rel @ SY158 @ SY156 )
=> ( deletefile1 @ SY156 ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[3,icl_and,icl_atom,icl_false,icl_impl,icl_or,icl_princ,icl_says,icl_true,iclval,mall,mand,mbox,mcountersatisfiable,mdia,mexists,mfalse,miff,mimpl,minvalid,mnot,mor,msatisfiable,mtrue,mvalid]) ).
thf(12,plain,
( ( ! [SY167: $i > $o,SY196: $i] :
( ~ ! [SY197: $i] :
( ( rel @ SY196 @ SY197 )
=> ( SY167 @ SY197 ) )
| ! [SY198: $i] :
( ( rel @ SY196 @ SY198 )
=> ! [SY191: $i] :
( ( rel @ SY198 @ SY191 )
=> ( SY167 @ SY191 ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[4,icl_and,icl_atom,icl_false,icl_impl,icl_or,icl_princ,icl_says,icl_true,iclval,mall,mand,mbox,mcountersatisfiable,mdia,mexists,mfalse,miff,mimpl,minvalid,mnot,mor,msatisfiable,mtrue,mvalid]) ).
thf(13,plain,
( ( ! [SY205: $i > $o,SY221: $i] :
( ~ ! [SY222: $i] :
( ( rel @ SY221 @ SY222 )
=> ( SY205 @ SY222 ) )
| ( SY205 @ SY221 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[5,icl_and,icl_atom,icl_false,icl_impl,icl_or,icl_princ,icl_says,icl_true,iclval,mall,mand,mbox,mcountersatisfiable,mdia,mexists,mfalse,miff,mimpl,minvalid,mnot,mor,msatisfiable,mtrue,mvalid]) ).
thf(14,plain,
( ( ! [SY226: $i] :
( ( rel @ sK1_SY5 @ SY226 )
=> ( deletefile1 @ SY226 ) ) )
= $false ),
inference(extcnf_forall_neg,[status(esa)],[8]) ).
thf(15,plain,
( ( ( rel @ sK1_SY5 @ sK2_SY226 )
=> ( deletefile1 @ sK2_SY226 ) )
= $false ),
inference(extcnf_forall_neg,[status(esa)],[14]) ).
thf(16,plain,
( ( rel @ sK1_SY5 @ sK2_SY226 )
= $true ),
inference(standard_cnf,[status(thm)],[15]) ).
thf(17,plain,
( ( deletefile1 @ sK2_SY226 )
= $false ),
inference(standard_cnf,[status(thm)],[15]) ).
thf(18,plain,
( ( ~ ( deletefile1 @ sK2_SY226 ) )
= $true ),
inference(polarity_switch,[status(thm)],[17]) ).
thf(19,plain,
( ( ! [SY26: $i,SY27: $i] :
( ~ ( rel @ SY26 @ SY27 )
| ! [SY25: $i] :
( ~ ( rel @ SY27 @ SY25 )
| ( deletefile1 @ SY25 ) )
| ( bob @ SY27 ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[9]) ).
thf(20,plain,
( ( ! [SY96: $i,SY97: $i] :
( ~ ( rel @ SY96 @ SY97 )
| ! [SY92: $i] :
( ~ ( rel @ SY97 @ SY92 )
| ( ( rel @ SY92 @ ( sK3_SY78 @ SY92 @ SY97 @ SY96 ) )
& ( rel @ ( sK3_SY78 @ SY92 @ SY97 @ SY96 ) @ ( sK4_SY227 @ SY92 @ SY97 @ SY96 ) )
& ~ ( deletefile1 @ ( sK4_SY227 @ SY92 @ SY97 @ SY96 ) )
& ~ ( bob @ ( sK3_SY78 @ SY92 @ SY97 @ SY96 ) ) )
| ! [SY89: $i] :
( ~ ( rel @ SY92 @ SY89 )
| ( deletefile1 @ SY89 ) ) )
| ( admin @ SY97 ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[10]) ).
thf(21,plain,
( ( ! [SY157: $i,SY158: $i] :
( ~ ( rel @ SY157 @ SY158 )
| ( ( rel @ SY158 @ ( sK5_SY145 @ SY158 @ SY157 ) )
& ( rel @ ( sK5_SY145 @ SY158 @ SY157 ) @ ( sK6_SY228 @ SY158 @ SY157 ) )
& ~ ( deletefile1 @ ( sK6_SY228 @ SY158 @ SY157 ) )
& ~ ( admin @ ( sK5_SY145 @ SY158 @ SY157 ) ) )
| ! [SY156: $i] :
( ~ ( rel @ SY158 @ SY156 )
| ( deletefile1 @ SY156 ) ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[11]) ).
thf(22,plain,
( ( ! [SY167: $i > $o,SY196: $i] :
( ( ( rel @ SY196 @ ( sK7_SY197 @ SY196 @ SY167 ) )
& ~ ( SY167 @ ( sK7_SY197 @ SY196 @ SY167 ) ) )
| ! [SY198: $i] :
( ~ ( rel @ SY196 @ SY198 )
| ! [SY191: $i] :
( ~ ( rel @ SY198 @ SY191 )
| ( SY167 @ SY191 ) ) ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[12]) ).
thf(23,plain,
( ( ! [SY205: $i > $o,SY221: $i] :
( ( ( rel @ SY221 @ ( sK8_SY222 @ SY221 @ SY205 ) )
& ~ ( SY205 @ ( sK8_SY222 @ SY221 @ SY205 ) ) )
| ( SY205 @ SY221 ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[13]) ).
thf(24,plain,
( ( ! [SY205: $i > $o,SY221: $i] :
( ( ( rel @ SY221 @ ( sK8_SY222 @ SY221 @ SY205 ) )
& ~ ( SY205 @ ( sK8_SY222 @ SY221 @ SY205 ) ) )
| ( SY205 @ SY221 ) ) )
= $true ),
inference(copy,[status(thm)],[23]) ).
thf(25,plain,
( ( ! [SY167: $i > $o,SY196: $i] :
( ( ( rel @ SY196 @ ( sK7_SY197 @ SY196 @ SY167 ) )
& ~ ( SY167 @ ( sK7_SY197 @ SY196 @ SY167 ) ) )
| ! [SY198: $i] :
( ~ ( rel @ SY196 @ SY198 )
| ! [SY191: $i] :
( ~ ( rel @ SY198 @ SY191 )
| ( SY167 @ SY191 ) ) ) ) )
= $true ),
inference(copy,[status(thm)],[22]) ).
thf(26,plain,
( ( ! [SY157: $i,SY158: $i] :
( ~ ( rel @ SY157 @ SY158 )
| ( ( rel @ SY158 @ ( sK5_SY145 @ SY158 @ SY157 ) )
& ( rel @ ( sK5_SY145 @ SY158 @ SY157 ) @ ( sK6_SY228 @ SY158 @ SY157 ) )
& ~ ( deletefile1 @ ( sK6_SY228 @ SY158 @ SY157 ) )
& ~ ( admin @ ( sK5_SY145 @ SY158 @ SY157 ) ) )
| ! [SY156: $i] :
( ~ ( rel @ SY158 @ SY156 )
| ( deletefile1 @ SY156 ) ) ) )
= $true ),
inference(copy,[status(thm)],[21]) ).
thf(27,plain,
( ( ! [SY96: $i,SY97: $i] :
( ~ ( rel @ SY96 @ SY97 )
| ! [SY92: $i] :
( ~ ( rel @ SY97 @ SY92 )
| ( ( rel @ SY92 @ ( sK3_SY78 @ SY92 @ SY97 @ SY96 ) )
& ( rel @ ( sK3_SY78 @ SY92 @ SY97 @ SY96 ) @ ( sK4_SY227 @ SY92 @ SY97 @ SY96 ) )
& ~ ( deletefile1 @ ( sK4_SY227 @ SY92 @ SY97 @ SY96 ) )
& ~ ( bob @ ( sK3_SY78 @ SY92 @ SY97 @ SY96 ) ) )
| ! [SY89: $i] :
( ~ ( rel @ SY92 @ SY89 )
| ( deletefile1 @ SY89 ) ) )
| ( admin @ SY97 ) ) )
= $true ),
inference(copy,[status(thm)],[20]) ).
thf(28,plain,
( ( ! [SY26: $i,SY27: $i] :
( ~ ( rel @ SY26 @ SY27 )
| ! [SY25: $i] :
( ~ ( rel @ SY27 @ SY25 )
| ( deletefile1 @ SY25 ) )
| ( bob @ SY27 ) ) )
= $true ),
inference(copy,[status(thm)],[19]) ).
thf(29,plain,
( ( rel @ sK1_SY5 @ sK2_SY226 )
= $true ),
inference(copy,[status(thm)],[16]) ).
thf(30,plain,
( ( ~ ( deletefile1 @ sK2_SY226 ) )
= $true ),
inference(copy,[status(thm)],[18]) ).
thf(31,plain,
( ( ! [SX0: $i,SX1: $i] :
( ~ ( rel @ SX0 @ SX1 )
| ~ ( ~ ( rel @ SX1 @ ( sK5_SY145 @ SX1 @ SX0 ) )
| ~ ~ ( ~ ~ ( ~ ( rel @ ( sK5_SY145 @ SX1 @ SX0 ) @ ( sK6_SY228 @ SX1 @ SX0 ) )
| ~ ~ ( deletefile1 @ ( sK6_SY228 @ SX1 @ SX0 ) ) )
| ~ ~ ( admin @ ( sK5_SY145 @ SX1 @ SX0 ) ) ) )
| ! [SX2: $i] :
( ~ ( rel @ SX1 @ SX2 )
| ( deletefile1 @ SX2 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[26,icl_and,icl_atom,icl_false,icl_impl,icl_or,icl_princ,icl_says,icl_true,iclval,mall,mand,mbox,mcountersatisfiable,mdia,mexists,mfalse,miff,mimpl,minvalid,mnot,mor,msatisfiable,mtrue,mvalid]) ).
thf(32,plain,
( ( ! [SX0: $i,SX1: $i] :
( ~ ( rel @ SX0 @ SX1 )
| ! [SX2: $i] :
( ~ ( rel @ SX1 @ SX2 )
| ~ ( ~ ( rel @ SX2 @ ( sK3_SY78 @ SX2 @ SX1 @ SX0 ) )
| ~ ~ ( ~ ~ ( ~ ( rel @ ( sK3_SY78 @ SX2 @ SX1 @ SX0 ) @ ( sK4_SY227 @ SX2 @ SX1 @ SX0 ) )
| ~ ~ ( deletefile1 @ ( sK4_SY227 @ SX2 @ SX1 @ SX0 ) ) )
| ~ ~ ( bob @ ( sK3_SY78 @ SX2 @ SX1 @ SX0 ) ) ) )
| ! [SX3: $i] :
( ~ ( rel @ SX2 @ SX3 )
| ( deletefile1 @ SX3 ) ) )
| ( admin @ SX1 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[27,icl_and,icl_atom,icl_false,icl_impl,icl_or,icl_princ,icl_says,icl_true,iclval,mall,mand,mbox,mcountersatisfiable,mdia,mexists,mfalse,miff,mimpl,minvalid,mnot,mor,msatisfiable,mtrue,mvalid]) ).
thf(33,plain,
( ( ! [SX0: $i > $o,SX1: $i] :
( ~ ( ~ ( rel @ SX1 @ ( sK8_SY222 @ SX1 @ SX0 ) )
| ~ ~ ( SX0 @ ( sK8_SY222 @ SX1 @ SX0 ) ) )
| ( SX0 @ SX1 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[24,icl_and,icl_atom,icl_false,icl_impl,icl_or,icl_princ,icl_says,icl_true,iclval,mall,mand,mbox,mcountersatisfiable,mdia,mexists,mfalse,miff,mimpl,minvalid,mnot,mor,msatisfiable,mtrue,mvalid]) ).
thf(34,plain,
( ( ! [SX0: $i > $o,SX1: $i] :
( ~ ( ~ ( rel @ SX1 @ ( sK7_SY197 @ SX1 @ SX0 ) )
| ~ ~ ( SX0 @ ( sK7_SY197 @ SX1 @ SX0 ) ) )
| ! [SX2: $i] :
( ~ ( rel @ SX1 @ SX2 )
| ! [SX3: $i] :
( ~ ( rel @ SX2 @ SX3 )
| ( SX0 @ SX3 ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[25,icl_and,icl_atom,icl_false,icl_impl,icl_or,icl_princ,icl_says,icl_true,iclval,mall,mand,mbox,mcountersatisfiable,mdia,mexists,mfalse,miff,mimpl,minvalid,mnot,mor,msatisfiable,mtrue,mvalid]) ).
thf(35,plain,
! [SV1: $i] :
( ( ! [SY229: $i] :
( ~ ( rel @ SV1 @ SY229 )
| ! [SY25: $i] :
( ~ ( rel @ SY229 @ SY25 )
| ( deletefile1 @ SY25 ) )
| ( bob @ SY229 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[28]) ).
thf(36,plain,
( ( deletefile1 @ sK2_SY226 )
= $false ),
inference(extcnf_not_pos,[status(thm)],[30]) ).
thf(37,plain,
! [SV2: $i] :
( ( ! [SY231: $i] :
( ~ ( rel @ SV2 @ SY231 )
| ~ ( ~ ( rel @ SY231 @ ( sK5_SY145 @ SY231 @ SV2 ) )
| ~ ~ ( ~ ~ ( ~ ( rel @ ( sK5_SY145 @ SY231 @ SV2 ) @ ( sK6_SY228 @ SY231 @ SV2 ) )
| ~ ~ ( deletefile1 @ ( sK6_SY228 @ SY231 @ SV2 ) ) )
| ~ ~ ( admin @ ( sK5_SY145 @ SY231 @ SV2 ) ) ) )
| ! [SX2: $i] :
( ~ ( rel @ SY231 @ SX2 )
| ( deletefile1 @ SX2 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[31]) ).
thf(38,plain,
! [SV3: $i] :
( ( ! [SY233: $i] :
( ~ ( rel @ SV3 @ SY233 )
| ! [SY234: $i] :
( ~ ( rel @ SY233 @ SY234 )
| ~ ( ~ ( rel @ SY234 @ ( sK3_SY78 @ SY234 @ SY233 @ SV3 ) )
| ~ ~ ( ~ ~ ( ~ ( rel @ ( sK3_SY78 @ SY234 @ SY233 @ SV3 ) @ ( sK4_SY227 @ SY234 @ SY233 @ SV3 ) )
| ~ ~ ( deletefile1 @ ( sK4_SY227 @ SY234 @ SY233 @ SV3 ) ) )
| ~ ~ ( bob @ ( sK3_SY78 @ SY234 @ SY233 @ SV3 ) ) ) )
| ! [SX3: $i] :
( ~ ( rel @ SY234 @ SX3 )
| ( deletefile1 @ SX3 ) ) )
| ( admin @ SY233 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[32]) ).
thf(39,plain,
! [SV4: $i > $o] :
( ( ! [SY236: $i] :
( ~ ( ~ ( rel @ SY236 @ ( sK8_SY222 @ SY236 @ SV4 ) )
| ~ ~ ( SV4 @ ( sK8_SY222 @ SY236 @ SV4 ) ) )
| ( SV4 @ SY236 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[33]) ).
thf(40,plain,
! [SV5: $i > $o] :
( ( ! [SY237: $i] :
( ~ ( ~ ( rel @ SY237 @ ( sK7_SY197 @ SY237 @ SV5 ) )
| ~ ~ ( SV5 @ ( sK7_SY197 @ SY237 @ SV5 ) ) )
| ! [SY238: $i] :
( ~ ( rel @ SY237 @ SY238 )
| ! [SY239: $i] :
( ~ ( rel @ SY238 @ SY239 )
| ( SV5 @ SY239 ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[34]) ).
thf(41,plain,
! [SV6: $i,SV1: $i] :
( ( ~ ( rel @ SV1 @ SV6 )
| ! [SY240: $i] :
( ~ ( rel @ SV6 @ SY240 )
| ( deletefile1 @ SY240 ) )
| ( bob @ SV6 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[35]) ).
thf(42,plain,
! [SV7: $i,SV2: $i] :
( ( ~ ( rel @ SV2 @ SV7 )
| ~ ( ~ ( rel @ SV7 @ ( sK5_SY145 @ SV7 @ SV2 ) )
| ~ ~ ( ~ ~ ( ~ ( rel @ ( sK5_SY145 @ SV7 @ SV2 ) @ ( sK6_SY228 @ SV7 @ SV2 ) )
| ~ ~ ( deletefile1 @ ( sK6_SY228 @ SV7 @ SV2 ) ) )
| ~ ~ ( admin @ ( sK5_SY145 @ SV7 @ SV2 ) ) ) )
| ! [SY241: $i] :
( ~ ( rel @ SV7 @ SY241 )
| ( deletefile1 @ SY241 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[37]) ).
thf(43,plain,
! [SV8: $i,SV3: $i] :
( ( ~ ( rel @ SV3 @ SV8 )
| ! [SY242: $i] :
( ~ ( rel @ SV8 @ SY242 )
| ~ ( ~ ( rel @ SY242 @ ( sK3_SY78 @ SY242 @ SV8 @ SV3 ) )
| ~ ~ ( ~ ~ ( ~ ( rel @ ( sK3_SY78 @ SY242 @ SV8 @ SV3 ) @ ( sK4_SY227 @ SY242 @ SV8 @ SV3 ) )
| ~ ~ ( deletefile1 @ ( sK4_SY227 @ SY242 @ SV8 @ SV3 ) ) )
| ~ ~ ( bob @ ( sK3_SY78 @ SY242 @ SV8 @ SV3 ) ) ) )
| ! [SX3: $i] :
( ~ ( rel @ SY242 @ SX3 )
| ( deletefile1 @ SX3 ) ) )
| ( admin @ SV8 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[38]) ).
thf(44,plain,
! [SV4: $i > $o,SV9: $i] :
( ( ~ ( ~ ( rel @ SV9 @ ( sK8_SY222 @ SV9 @ SV4 ) )
| ~ ~ ( SV4 @ ( sK8_SY222 @ SV9 @ SV4 ) ) )
| ( SV4 @ SV9 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[39]) ).
thf(45,plain,
! [SV5: $i > $o,SV10: $i] :
( ( ~ ( ~ ( rel @ SV10 @ ( sK7_SY197 @ SV10 @ SV5 ) )
| ~ ~ ( SV5 @ ( sK7_SY197 @ SV10 @ SV5 ) ) )
| ! [SY244: $i] :
( ~ ( rel @ SV10 @ SY244 )
| ! [SY239: $i] :
( ~ ( rel @ SY244 @ SY239 )
| ( SV5 @ SY239 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[40]) ).
thf(46,plain,
! [SV6: $i,SV1: $i] :
( ( ( ~ ( rel @ SV1 @ SV6 ) )
= $true )
| ( ( ! [SY240: $i] :
( ~ ( rel @ SV6 @ SY240 )
| ( deletefile1 @ SY240 ) )
| ( bob @ SV6 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[41]) ).
thf(47,plain,
! [SV7: $i,SV2: $i] :
( ( ( ~ ( rel @ SV2 @ SV7 ) )
= $true )
| ( ( ~ ( ~ ( rel @ SV7 @ ( sK5_SY145 @ SV7 @ SV2 ) )
| ~ ~ ( ~ ~ ( ~ ( rel @ ( sK5_SY145 @ SV7 @ SV2 ) @ ( sK6_SY228 @ SV7 @ SV2 ) )
| ~ ~ ( deletefile1 @ ( sK6_SY228 @ SV7 @ SV2 ) ) )
| ~ ~ ( admin @ ( sK5_SY145 @ SV7 @ SV2 ) ) ) )
| ! [SY241: $i] :
( ~ ( rel @ SV7 @ SY241 )
| ( deletefile1 @ SY241 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[42]) ).
thf(48,plain,
! [SV8: $i,SV3: $i] :
( ( ( ~ ( rel @ SV3 @ SV8 ) )
= $true )
| ( ( ! [SY242: $i] :
( ~ ( rel @ SV8 @ SY242 )
| ~ ( ~ ( rel @ SY242 @ ( sK3_SY78 @ SY242 @ SV8 @ SV3 ) )
| ~ ~ ( ~ ~ ( ~ ( rel @ ( sK3_SY78 @ SY242 @ SV8 @ SV3 ) @ ( sK4_SY227 @ SY242 @ SV8 @ SV3 ) )
| ~ ~ ( deletefile1 @ ( sK4_SY227 @ SY242 @ SV8 @ SV3 ) ) )
| ~ ~ ( bob @ ( sK3_SY78 @ SY242 @ SV8 @ SV3 ) ) ) )
| ! [SX3: $i] :
( ~ ( rel @ SY242 @ SX3 )
| ( deletefile1 @ SX3 ) ) )
| ( admin @ SV8 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[43]) ).
thf(49,plain,
! [SV4: $i > $o,SV9: $i] :
( ( ( ~ ( ~ ( rel @ SV9 @ ( sK8_SY222 @ SV9 @ SV4 ) )
| ~ ~ ( SV4 @ ( sK8_SY222 @ SV9 @ SV4 ) ) ) )
= $true )
| ( ( SV4 @ SV9 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[44]) ).
thf(50,plain,
! [SV5: $i > $o,SV10: $i] :
( ( ( ~ ( ~ ( rel @ SV10 @ ( sK7_SY197 @ SV10 @ SV5 ) )
| ~ ~ ( SV5 @ ( sK7_SY197 @ SV10 @ SV5 ) ) ) )
= $true )
| ( ( ! [SY244: $i] :
( ~ ( rel @ SV10 @ SY244 )
| ! [SY239: $i] :
( ~ ( rel @ SY244 @ SY239 )
| ( SV5 @ SY239 ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[45]) ).
thf(51,plain,
! [SV6: $i,SV1: $i] :
( ( ( rel @ SV1 @ SV6 )
= $false )
| ( ( ! [SY240: $i] :
( ~ ( rel @ SV6 @ SY240 )
| ( deletefile1 @ SY240 ) )
| ( bob @ SV6 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[46]) ).
thf(52,plain,
! [SV7: $i,SV2: $i] :
( ( ( rel @ SV2 @ SV7 )
= $false )
| ( ( ~ ( ~ ( rel @ SV7 @ ( sK5_SY145 @ SV7 @ SV2 ) )
| ~ ~ ( ~ ~ ( ~ ( rel @ ( sK5_SY145 @ SV7 @ SV2 ) @ ( sK6_SY228 @ SV7 @ SV2 ) )
| ~ ~ ( deletefile1 @ ( sK6_SY228 @ SV7 @ SV2 ) ) )
| ~ ~ ( admin @ ( sK5_SY145 @ SV7 @ SV2 ) ) ) )
| ! [SY241: $i] :
( ~ ( rel @ SV7 @ SY241 )
| ( deletefile1 @ SY241 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[47]) ).
thf(53,plain,
! [SV8: $i,SV3: $i] :
( ( ( rel @ SV3 @ SV8 )
= $false )
| ( ( ! [SY242: $i] :
( ~ ( rel @ SV8 @ SY242 )
| ~ ( ~ ( rel @ SY242 @ ( sK3_SY78 @ SY242 @ SV8 @ SV3 ) )
| ~ ~ ( ~ ~ ( ~ ( rel @ ( sK3_SY78 @ SY242 @ SV8 @ SV3 ) @ ( sK4_SY227 @ SY242 @ SV8 @ SV3 ) )
| ~ ~ ( deletefile1 @ ( sK4_SY227 @ SY242 @ SV8 @ SV3 ) ) )
| ~ ~ ( bob @ ( sK3_SY78 @ SY242 @ SV8 @ SV3 ) ) ) )
| ! [SX3: $i] :
( ~ ( rel @ SY242 @ SX3 )
| ( deletefile1 @ SX3 ) ) )
| ( admin @ SV8 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[48]) ).
thf(54,plain,
! [SV4: $i > $o,SV9: $i] :
( ( ( ~ ( rel @ SV9 @ ( sK8_SY222 @ SV9 @ SV4 ) )
| ~ ~ ( SV4 @ ( sK8_SY222 @ SV9 @ SV4 ) ) )
= $false )
| ( ( SV4 @ SV9 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[49]) ).
thf(55,plain,
! [SV5: $i > $o,SV10: $i] :
( ( ( ~ ( rel @ SV10 @ ( sK7_SY197 @ SV10 @ SV5 ) )
| ~ ~ ( SV5 @ ( sK7_SY197 @ SV10 @ SV5 ) ) )
= $false )
| ( ( ! [SY244: $i] :
( ~ ( rel @ SV10 @ SY244 )
| ! [SY239: $i] :
( ~ ( rel @ SY244 @ SY239 )
| ( SV5 @ SY239 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[50]) ).
thf(56,plain,
! [SV1: $i,SV6: $i] :
( ( ( ! [SY240: $i] :
( ~ ( rel @ SV6 @ SY240 )
| ( deletefile1 @ SY240 ) ) )
= $true )
| ( ( bob @ SV6 )
= $true )
| ( ( rel @ SV1 @ SV6 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[51]) ).
thf(57,plain,
! [SV2: $i,SV7: $i] :
( ( ( ~ ( ~ ( rel @ SV7 @ ( sK5_SY145 @ SV7 @ SV2 ) )
| ~ ~ ( ~ ~ ( ~ ( rel @ ( sK5_SY145 @ SV7 @ SV2 ) @ ( sK6_SY228 @ SV7 @ SV2 ) )
| ~ ~ ( deletefile1 @ ( sK6_SY228 @ SV7 @ SV2 ) ) )
| ~ ~ ( admin @ ( sK5_SY145 @ SV7 @ SV2 ) ) ) ) )
= $true )
| ( ( ! [SY241: $i] :
( ~ ( rel @ SV7 @ SY241 )
| ( deletefile1 @ SY241 ) ) )
= $true )
| ( ( rel @ SV2 @ SV7 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[52]) ).
thf(58,plain,
! [SV3: $i,SV8: $i] :
( ( ( ! [SY242: $i] :
( ~ ( rel @ SV8 @ SY242 )
| ~ ( ~ ( rel @ SY242 @ ( sK3_SY78 @ SY242 @ SV8 @ SV3 ) )
| ~ ~ ( ~ ~ ( ~ ( rel @ ( sK3_SY78 @ SY242 @ SV8 @ SV3 ) @ ( sK4_SY227 @ SY242 @ SV8 @ SV3 ) )
| ~ ~ ( deletefile1 @ ( sK4_SY227 @ SY242 @ SV8 @ SV3 ) ) )
| ~ ~ ( bob @ ( sK3_SY78 @ SY242 @ SV8 @ SV3 ) ) ) )
| ! [SX3: $i] :
( ~ ( rel @ SY242 @ SX3 )
| ( deletefile1 @ SX3 ) ) ) )
= $true )
| ( ( admin @ SV8 )
= $true )
| ( ( rel @ SV3 @ SV8 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[53]) ).
thf(59,plain,
! [SV4: $i > $o,SV9: $i] :
( ( ( ~ ( rel @ SV9 @ ( sK8_SY222 @ SV9 @ SV4 ) ) )
= $false )
| ( ( SV4 @ SV9 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[54]) ).
thf(60,plain,
! [SV9: $i,SV4: $i > $o] :
( ( ( ~ ~ ( SV4 @ ( sK8_SY222 @ SV9 @ SV4 ) ) )
= $false )
| ( ( SV4 @ SV9 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[54]) ).
thf(61,plain,
! [SV5: $i > $o,SV10: $i] :
( ( ( ~ ( rel @ SV10 @ ( sK7_SY197 @ SV10 @ SV5 ) ) )
= $false )
| ( ( ! [SY244: $i] :
( ~ ( rel @ SV10 @ SY244 )
| ! [SY239: $i] :
( ~ ( rel @ SY244 @ SY239 )
| ( SV5 @ SY239 ) ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[55]) ).
thf(62,plain,
! [SV10: $i,SV5: $i > $o] :
( ( ( ~ ~ ( SV5 @ ( sK7_SY197 @ SV10 @ SV5 ) ) )
= $false )
| ( ( ! [SY244: $i] :
( ~ ( rel @ SV10 @ SY244 )
| ! [SY239: $i] :
( ~ ( rel @ SY244 @ SY239 )
| ( SV5 @ SY239 ) ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[55]) ).
thf(63,plain,
! [SV1: $i,SV11: $i,SV6: $i] :
( ( ( ~ ( rel @ SV6 @ SV11 )
| ( deletefile1 @ SV11 ) )
= $true )
| ( ( bob @ SV6 )
= $true )
| ( ( rel @ SV1 @ SV6 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[56]) ).
thf(64,plain,
! [SV2: $i,SV7: $i] :
( ( ( ~ ( rel @ SV7 @ ( sK5_SY145 @ SV7 @ SV2 ) )
| ~ ~ ( ~ ~ ( ~ ( rel @ ( sK5_SY145 @ SV7 @ SV2 ) @ ( sK6_SY228 @ SV7 @ SV2 ) )
| ~ ~ ( deletefile1 @ ( sK6_SY228 @ SV7 @ SV2 ) ) )
| ~ ~ ( admin @ ( sK5_SY145 @ SV7 @ SV2 ) ) ) )
= $false )
| ( ( ! [SY241: $i] :
( ~ ( rel @ SV7 @ SY241 )
| ( deletefile1 @ SY241 ) ) )
= $true )
| ( ( rel @ SV2 @ SV7 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[57]) ).
thf(65,plain,
! [SV3: $i,SV12: $i,SV8: $i] :
( ( ( ~ ( rel @ SV8 @ SV12 )
| ~ ( ~ ( rel @ SV12 @ ( sK3_SY78 @ SV12 @ SV8 @ SV3 ) )
| ~ ~ ( ~ ~ ( ~ ( rel @ ( sK3_SY78 @ SV12 @ SV8 @ SV3 ) @ ( sK4_SY227 @ SV12 @ SV8 @ SV3 ) )
| ~ ~ ( deletefile1 @ ( sK4_SY227 @ SV12 @ SV8 @ SV3 ) ) )
| ~ ~ ( bob @ ( sK3_SY78 @ SV12 @ SV8 @ SV3 ) ) ) )
| ! [SY246: $i] :
( ~ ( rel @ SV12 @ SY246 )
| ( deletefile1 @ SY246 ) ) )
= $true )
| ( ( admin @ SV8 )
= $true )
| ( ( rel @ SV3 @ SV8 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[58]) ).
thf(66,plain,
! [SV4: $i > $o,SV9: $i] :
( ( ( rel @ SV9 @ ( sK8_SY222 @ SV9 @ SV4 ) )
= $true )
| ( ( SV4 @ SV9 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[59]) ).
thf(67,plain,
! [SV9: $i,SV4: $i > $o] :
( ( ( ~ ( SV4 @ ( sK8_SY222 @ SV9 @ SV4 ) ) )
= $true )
| ( ( SV4 @ SV9 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[60]) ).
thf(68,plain,
! [SV5: $i > $o,SV10: $i] :
( ( ( rel @ SV10 @ ( sK7_SY197 @ SV10 @ SV5 ) )
= $true )
| ( ( ! [SY244: $i] :
( ~ ( rel @ SV10 @ SY244 )
| ! [SY239: $i] :
( ~ ( rel @ SY244 @ SY239 )
| ( SV5 @ SY239 ) ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[61]) ).
thf(69,plain,
! [SV10: $i,SV5: $i > $o] :
( ( ( ~ ( SV5 @ ( sK7_SY197 @ SV10 @ SV5 ) ) )
= $true )
| ( ( ! [SY244: $i] :
( ~ ( rel @ SV10 @ SY244 )
| ! [SY239: $i] :
( ~ ( rel @ SY244 @ SY239 )
| ( SV5 @ SY239 ) ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[62]) ).
thf(70,plain,
! [SV1: $i,SV11: $i,SV6: $i] :
( ( ( ~ ( rel @ SV6 @ SV11 ) )
= $true )
| ( ( deletefile1 @ SV11 )
= $true )
| ( ( bob @ SV6 )
= $true )
| ( ( rel @ SV1 @ SV6 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[63]) ).
thf(71,plain,
! [SV2: $i,SV7: $i] :
( ( ( ~ ( rel @ SV7 @ ( sK5_SY145 @ SV7 @ SV2 ) ) )
= $false )
| ( ( ! [SY241: $i] :
( ~ ( rel @ SV7 @ SY241 )
| ( deletefile1 @ SY241 ) ) )
= $true )
| ( ( rel @ SV2 @ SV7 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[64]) ).
thf(72,plain,
! [SV2: $i,SV7: $i] :
( ( ( ~ ~ ( ~ ~ ( ~ ( rel @ ( sK5_SY145 @ SV7 @ SV2 ) @ ( sK6_SY228 @ SV7 @ SV2 ) )
| ~ ~ ( deletefile1 @ ( sK6_SY228 @ SV7 @ SV2 ) ) )
| ~ ~ ( admin @ ( sK5_SY145 @ SV7 @ SV2 ) ) ) )
= $false )
| ( ( ! [SY241: $i] :
( ~ ( rel @ SV7 @ SY241 )
| ( deletefile1 @ SY241 ) ) )
= $true )
| ( ( rel @ SV2 @ SV7 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[64]) ).
thf(73,plain,
! [SV3: $i,SV12: $i,SV8: $i] :
( ( ( ~ ( rel @ SV8 @ SV12 ) )
= $true )
| ( ( ~ ( ~ ( rel @ SV12 @ ( sK3_SY78 @ SV12 @ SV8 @ SV3 ) )
| ~ ~ ( ~ ~ ( ~ ( rel @ ( sK3_SY78 @ SV12 @ SV8 @ SV3 ) @ ( sK4_SY227 @ SV12 @ SV8 @ SV3 ) )
| ~ ~ ( deletefile1 @ ( sK4_SY227 @ SV12 @ SV8 @ SV3 ) ) )
| ~ ~ ( bob @ ( sK3_SY78 @ SV12 @ SV8 @ SV3 ) ) ) )
| ! [SY246: $i] :
( ~ ( rel @ SV12 @ SY246 )
| ( deletefile1 @ SY246 ) ) )
= $true )
| ( ( admin @ SV8 )
= $true )
| ( ( rel @ SV3 @ SV8 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[65]) ).
thf(74,plain,
! [SV9: $i,SV4: $i > $o] :
( ( ( SV4 @ ( sK8_SY222 @ SV9 @ SV4 ) )
= $false )
| ( ( SV4 @ SV9 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[67]) ).
thf(75,plain,
! [SV5: $i > $o,SV13: $i,SV10: $i] :
( ( ( ~ ( rel @ SV10 @ SV13 )
| ! [SY247: $i] :
( ~ ( rel @ SV13 @ SY247 )
| ( SV5 @ SY247 ) ) )
= $true )
| ( ( rel @ SV10 @ ( sK7_SY197 @ SV10 @ SV5 ) )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[68]) ).
thf(76,plain,
! [SV10: $i,SV5: $i > $o] :
( ( ( SV5 @ ( sK7_SY197 @ SV10 @ SV5 ) )
= $false )
| ( ( ! [SY244: $i] :
( ~ ( rel @ SV10 @ SY244 )
| ! [SY239: $i] :
( ~ ( rel @ SY244 @ SY239 )
| ( SV5 @ SY239 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[69]) ).
thf(77,plain,
! [SV1: $i,SV11: $i,SV6: $i] :
( ( ( rel @ SV6 @ SV11 )
= $false )
| ( ( deletefile1 @ SV11 )
= $true )
| ( ( bob @ SV6 )
= $true )
| ( ( rel @ SV1 @ SV6 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[70]) ).
thf(78,plain,
! [SV2: $i,SV7: $i] :
( ( ( rel @ SV7 @ ( sK5_SY145 @ SV7 @ SV2 ) )
= $true )
| ( ( ! [SY241: $i] :
( ~ ( rel @ SV7 @ SY241 )
| ( deletefile1 @ SY241 ) ) )
= $true )
| ( ( rel @ SV2 @ SV7 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[71]) ).
thf(79,plain,
! [SV2: $i,SV7: $i] :
( ( ( ~ ( ~ ~ ( ~ ( rel @ ( sK5_SY145 @ SV7 @ SV2 ) @ ( sK6_SY228 @ SV7 @ SV2 ) )
| ~ ~ ( deletefile1 @ ( sK6_SY228 @ SV7 @ SV2 ) ) )
| ~ ~ ( admin @ ( sK5_SY145 @ SV7 @ SV2 ) ) ) )
= $true )
| ( ( ! [SY241: $i] :
( ~ ( rel @ SV7 @ SY241 )
| ( deletefile1 @ SY241 ) ) )
= $true )
| ( ( rel @ SV2 @ SV7 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[72]) ).
thf(80,plain,
! [SV3: $i,SV12: $i,SV8: $i] :
( ( ( rel @ SV8 @ SV12 )
= $false )
| ( ( ~ ( ~ ( rel @ SV12 @ ( sK3_SY78 @ SV12 @ SV8 @ SV3 ) )
| ~ ~ ( ~ ~ ( ~ ( rel @ ( sK3_SY78 @ SV12 @ SV8 @ SV3 ) @ ( sK4_SY227 @ SV12 @ SV8 @ SV3 ) )
| ~ ~ ( deletefile1 @ ( sK4_SY227 @ SV12 @ SV8 @ SV3 ) ) )
| ~ ~ ( bob @ ( sK3_SY78 @ SV12 @ SV8 @ SV3 ) ) ) )
| ! [SY246: $i] :
( ~ ( rel @ SV12 @ SY246 )
| ( deletefile1 @ SY246 ) ) )
= $true )
| ( ( admin @ SV8 )
= $true )
| ( ( rel @ SV3 @ SV8 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[73]) ).
thf(81,plain,
! [SV5: $i > $o,SV13: $i,SV10: $i] :
( ( ( ~ ( rel @ SV10 @ SV13 ) )
= $true )
| ( ( ! [SY247: $i] :
( ~ ( rel @ SV13 @ SY247 )
| ( SV5 @ SY247 ) ) )
= $true )
| ( ( rel @ SV10 @ ( sK7_SY197 @ SV10 @ SV5 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[75]) ).
thf(82,plain,
! [SV5: $i > $o,SV14: $i,SV10: $i] :
( ( ( ~ ( rel @ SV10 @ SV14 )
| ! [SY248: $i] :
( ~ ( rel @ SV14 @ SY248 )
| ( SV5 @ SY248 ) ) )
= $true )
| ( ( SV5 @ ( sK7_SY197 @ SV10 @ SV5 ) )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[76]) ).
thf(83,plain,
! [SV2: $i,SV15: $i,SV7: $i] :
( ( ( ~ ( rel @ SV7 @ SV15 )
| ( deletefile1 @ SV15 ) )
= $true )
| ( ( rel @ SV7 @ ( sK5_SY145 @ SV7 @ SV2 ) )
= $true )
| ( ( rel @ SV2 @ SV7 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[78]) ).
thf(84,plain,
! [SV2: $i,SV7: $i] :
( ( ( ~ ~ ( ~ ( rel @ ( sK5_SY145 @ SV7 @ SV2 ) @ ( sK6_SY228 @ SV7 @ SV2 ) )
| ~ ~ ( deletefile1 @ ( sK6_SY228 @ SV7 @ SV2 ) ) )
| ~ ~ ( admin @ ( sK5_SY145 @ SV7 @ SV2 ) ) )
= $false )
| ( ( ! [SY241: $i] :
( ~ ( rel @ SV7 @ SY241 )
| ( deletefile1 @ SY241 ) ) )
= $true )
| ( ( rel @ SV2 @ SV7 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[79]) ).
thf(85,plain,
! [SV3: $i,SV8: $i,SV12: $i] :
( ( ( ~ ( ~ ( rel @ SV12 @ ( sK3_SY78 @ SV12 @ SV8 @ SV3 ) )
| ~ ~ ( ~ ~ ( ~ ( rel @ ( sK3_SY78 @ SV12 @ SV8 @ SV3 ) @ ( sK4_SY227 @ SV12 @ SV8 @ SV3 ) )
| ~ ~ ( deletefile1 @ ( sK4_SY227 @ SV12 @ SV8 @ SV3 ) ) )
| ~ ~ ( bob @ ( sK3_SY78 @ SV12 @ SV8 @ SV3 ) ) ) ) )
= $true )
| ( ( ! [SY246: $i] :
( ~ ( rel @ SV12 @ SY246 )
| ( deletefile1 @ SY246 ) ) )
= $true )
| ( ( rel @ SV8 @ SV12 )
= $false )
| ( ( admin @ SV8 )
= $true )
| ( ( rel @ SV3 @ SV8 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[80]) ).
thf(86,plain,
! [SV5: $i > $o,SV13: $i,SV10: $i] :
( ( ( rel @ SV10 @ SV13 )
= $false )
| ( ( ! [SY247: $i] :
( ~ ( rel @ SV13 @ SY247 )
| ( SV5 @ SY247 ) ) )
= $true )
| ( ( rel @ SV10 @ ( sK7_SY197 @ SV10 @ SV5 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[81]) ).
thf(87,plain,
! [SV5: $i > $o,SV14: $i,SV10: $i] :
( ( ( ~ ( rel @ SV10 @ SV14 ) )
= $true )
| ( ( ! [SY248: $i] :
( ~ ( rel @ SV14 @ SY248 )
| ( SV5 @ SY248 ) ) )
= $true )
| ( ( SV5 @ ( sK7_SY197 @ SV10 @ SV5 ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[82]) ).
thf(88,plain,
! [SV2: $i,SV15: $i,SV7: $i] :
( ( ( ~ ( rel @ SV7 @ SV15 ) )
= $true )
| ( ( deletefile1 @ SV15 )
= $true )
| ( ( rel @ SV7 @ ( sK5_SY145 @ SV7 @ SV2 ) )
= $true )
| ( ( rel @ SV2 @ SV7 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[83]) ).
thf(89,plain,
! [SV2: $i,SV7: $i] :
( ( ( ~ ~ ( ~ ( rel @ ( sK5_SY145 @ SV7 @ SV2 ) @ ( sK6_SY228 @ SV7 @ SV2 ) )
| ~ ~ ( deletefile1 @ ( sK6_SY228 @ SV7 @ SV2 ) ) ) )
= $false )
| ( ( ! [SY241: $i] :
( ~ ( rel @ SV7 @ SY241 )
| ( deletefile1 @ SY241 ) ) )
= $true )
| ( ( rel @ SV2 @ SV7 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[84]) ).
thf(90,plain,
! [SV2: $i,SV7: $i] :
( ( ( ~ ~ ( admin @ ( sK5_SY145 @ SV7 @ SV2 ) ) )
= $false )
| ( ( ! [SY241: $i] :
( ~ ( rel @ SV7 @ SY241 )
| ( deletefile1 @ SY241 ) ) )
= $true )
| ( ( rel @ SV2 @ SV7 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[84]) ).
thf(91,plain,
! [SV3: $i,SV8: $i,SV12: $i] :
( ( ( ~ ( rel @ SV12 @ ( sK3_SY78 @ SV12 @ SV8 @ SV3 ) )
| ~ ~ ( ~ ~ ( ~ ( rel @ ( sK3_SY78 @ SV12 @ SV8 @ SV3 ) @ ( sK4_SY227 @ SV12 @ SV8 @ SV3 ) )
| ~ ~ ( deletefile1 @ ( sK4_SY227 @ SV12 @ SV8 @ SV3 ) ) )
| ~ ~ ( bob @ ( sK3_SY78 @ SV12 @ SV8 @ SV3 ) ) ) )
= $false )
| ( ( ! [SY246: $i] :
( ~ ( rel @ SV12 @ SY246 )
| ( deletefile1 @ SY246 ) ) )
= $true )
| ( ( rel @ SV8 @ SV12 )
= $false )
| ( ( admin @ SV8 )
= $true )
| ( ( rel @ SV3 @ SV8 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[85]) ).
thf(92,plain,
! [SV10: $i,SV5: $i > $o,SV16: $i,SV13: $i] :
( ( ( ~ ( rel @ SV13 @ SV16 )
| ( SV5 @ SV16 ) )
= $true )
| ( ( rel @ SV10 @ SV13 )
= $false )
| ( ( rel @ SV10 @ ( sK7_SY197 @ SV10 @ SV5 ) )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[86]) ).
thf(93,plain,
! [SV5: $i > $o,SV14: $i,SV10: $i] :
( ( ( rel @ SV10 @ SV14 )
= $false )
| ( ( ! [SY248: $i] :
( ~ ( rel @ SV14 @ SY248 )
| ( SV5 @ SY248 ) ) )
= $true )
| ( ( SV5 @ ( sK7_SY197 @ SV10 @ SV5 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[87]) ).
thf(94,plain,
! [SV2: $i,SV15: $i,SV7: $i] :
( ( ( rel @ SV7 @ SV15 )
= $false )
| ( ( deletefile1 @ SV15 )
= $true )
| ( ( rel @ SV7 @ ( sK5_SY145 @ SV7 @ SV2 ) )
= $true )
| ( ( rel @ SV2 @ SV7 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[88]) ).
thf(95,plain,
! [SV2: $i,SV7: $i] :
( ( ( ~ ( ~ ( rel @ ( sK5_SY145 @ SV7 @ SV2 ) @ ( sK6_SY228 @ SV7 @ SV2 ) )
| ~ ~ ( deletefile1 @ ( sK6_SY228 @ SV7 @ SV2 ) ) ) )
= $true )
| ( ( ! [SY241: $i] :
( ~ ( rel @ SV7 @ SY241 )
| ( deletefile1 @ SY241 ) ) )
= $true )
| ( ( rel @ SV2 @ SV7 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[89]) ).
thf(96,plain,
! [SV2: $i,SV7: $i] :
( ( ( ~ ( admin @ ( sK5_SY145 @ SV7 @ SV2 ) ) )
= $true )
| ( ( ! [SY241: $i] :
( ~ ( rel @ SV7 @ SY241 )
| ( deletefile1 @ SY241 ) ) )
= $true )
| ( ( rel @ SV2 @ SV7 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[90]) ).
thf(97,plain,
! [SV3: $i,SV8: $i,SV12: $i] :
( ( ( ~ ( rel @ SV12 @ ( sK3_SY78 @ SV12 @ SV8 @ SV3 ) ) )
= $false )
| ( ( ! [SY246: $i] :
( ~ ( rel @ SV12 @ SY246 )
| ( deletefile1 @ SY246 ) ) )
= $true )
| ( ( rel @ SV8 @ SV12 )
= $false )
| ( ( admin @ SV8 )
= $true )
| ( ( rel @ SV3 @ SV8 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[91]) ).
thf(98,plain,
! [SV3: $i,SV8: $i,SV12: $i] :
( ( ( ~ ~ ( ~ ~ ( ~ ( rel @ ( sK3_SY78 @ SV12 @ SV8 @ SV3 ) @ ( sK4_SY227 @ SV12 @ SV8 @ SV3 ) )
| ~ ~ ( deletefile1 @ ( sK4_SY227 @ SV12 @ SV8 @ SV3 ) ) )
| ~ ~ ( bob @ ( sK3_SY78 @ SV12 @ SV8 @ SV3 ) ) ) )
= $false )
| ( ( ! [SY246: $i] :
( ~ ( rel @ SV12 @ SY246 )
| ( deletefile1 @ SY246 ) ) )
= $true )
| ( ( rel @ SV8 @ SV12 )
= $false )
| ( ( admin @ SV8 )
= $true )
| ( ( rel @ SV3 @ SV8 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[91]) ).
thf(99,plain,
! [SV10: $i,SV5: $i > $o,SV16: $i,SV13: $i] :
( ( ( ~ ( rel @ SV13 @ SV16 ) )
= $true )
| ( ( SV5 @ SV16 )
= $true )
| ( ( rel @ SV10 @ SV13 )
= $false )
| ( ( rel @ SV10 @ ( sK7_SY197 @ SV10 @ SV5 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[92]) ).
thf(100,plain,
! [SV10: $i,SV5: $i > $o,SV17: $i,SV14: $i] :
( ( ( ~ ( rel @ SV14 @ SV17 )
| ( SV5 @ SV17 ) )
= $true )
| ( ( rel @ SV10 @ SV14 )
= $false )
| ( ( SV5 @ ( sK7_SY197 @ SV10 @ SV5 ) )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[93]) ).
thf(101,plain,
! [SV2: $i,SV7: $i] :
( ( ( ~ ( rel @ ( sK5_SY145 @ SV7 @ SV2 ) @ ( sK6_SY228 @ SV7 @ SV2 ) )
| ~ ~ ( deletefile1 @ ( sK6_SY228 @ SV7 @ SV2 ) ) )
= $false )
| ( ( ! [SY241: $i] :
( ~ ( rel @ SV7 @ SY241 )
| ( deletefile1 @ SY241 ) ) )
= $true )
| ( ( rel @ SV2 @ SV7 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[95]) ).
thf(102,plain,
! [SV2: $i,SV7: $i] :
( ( ( admin @ ( sK5_SY145 @ SV7 @ SV2 ) )
= $false )
| ( ( ! [SY241: $i] :
( ~ ( rel @ SV7 @ SY241 )
| ( deletefile1 @ SY241 ) ) )
= $true )
| ( ( rel @ SV2 @ SV7 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[96]) ).
thf(103,plain,
! [SV3: $i,SV8: $i,SV12: $i] :
( ( ( rel @ SV12 @ ( sK3_SY78 @ SV12 @ SV8 @ SV3 ) )
= $true )
| ( ( ! [SY246: $i] :
( ~ ( rel @ SV12 @ SY246 )
| ( deletefile1 @ SY246 ) ) )
= $true )
| ( ( rel @ SV8 @ SV12 )
= $false )
| ( ( admin @ SV8 )
= $true )
| ( ( rel @ SV3 @ SV8 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[97]) ).
thf(104,plain,
! [SV3: $i,SV8: $i,SV12: $i] :
( ( ( ~ ( ~ ~ ( ~ ( rel @ ( sK3_SY78 @ SV12 @ SV8 @ SV3 ) @ ( sK4_SY227 @ SV12 @ SV8 @ SV3 ) )
| ~ ~ ( deletefile1 @ ( sK4_SY227 @ SV12 @ SV8 @ SV3 ) ) )
| ~ ~ ( bob @ ( sK3_SY78 @ SV12 @ SV8 @ SV3 ) ) ) )
= $true )
| ( ( ! [SY246: $i] :
( ~ ( rel @ SV12 @ SY246 )
| ( deletefile1 @ SY246 ) ) )
= $true )
| ( ( rel @ SV8 @ SV12 )
= $false )
| ( ( admin @ SV8 )
= $true )
| ( ( rel @ SV3 @ SV8 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[98]) ).
thf(105,plain,
! [SV10: $i,SV5: $i > $o,SV16: $i,SV13: $i] :
( ( ( rel @ SV13 @ SV16 )
= $false )
| ( ( SV5 @ SV16 )
= $true )
| ( ( rel @ SV10 @ SV13 )
= $false )
| ( ( rel @ SV10 @ ( sK7_SY197 @ SV10 @ SV5 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[99]) ).
thf(106,plain,
! [SV10: $i,SV5: $i > $o,SV17: $i,SV14: $i] :
( ( ( ~ ( rel @ SV14 @ SV17 ) )
= $true )
| ( ( SV5 @ SV17 )
= $true )
| ( ( rel @ SV10 @ SV14 )
= $false )
| ( ( SV5 @ ( sK7_SY197 @ SV10 @ SV5 ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[100]) ).
thf(107,plain,
! [SV2: $i,SV7: $i] :
( ( ( ~ ( rel @ ( sK5_SY145 @ SV7 @ SV2 ) @ ( sK6_SY228 @ SV7 @ SV2 ) ) )
= $false )
| ( ( ! [SY241: $i] :
( ~ ( rel @ SV7 @ SY241 )
| ( deletefile1 @ SY241 ) ) )
= $true )
| ( ( rel @ SV2 @ SV7 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[101]) ).
thf(108,plain,
! [SV2: $i,SV7: $i] :
( ( ( ~ ~ ( deletefile1 @ ( sK6_SY228 @ SV7 @ SV2 ) ) )
= $false )
| ( ( ! [SY241: $i] :
( ~ ( rel @ SV7 @ SY241 )
| ( deletefile1 @ SY241 ) ) )
= $true )
| ( ( rel @ SV2 @ SV7 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[101]) ).
thf(109,plain,
! [SV2: $i,SV18: $i,SV7: $i] :
( ( ( ~ ( rel @ SV7 @ SV18 )
| ( deletefile1 @ SV18 ) )
= $true )
| ( ( admin @ ( sK5_SY145 @ SV7 @ SV2 ) )
= $false )
| ( ( rel @ SV2 @ SV7 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[102]) ).
thf(110,plain,
! [SV3: $i,SV8: $i,SV19: $i,SV12: $i] :
( ( ( ~ ( rel @ SV12 @ SV19 )
| ( deletefile1 @ SV19 ) )
= $true )
| ( ( rel @ SV12 @ ( sK3_SY78 @ SV12 @ SV8 @ SV3 ) )
= $true )
| ( ( rel @ SV8 @ SV12 )
= $false )
| ( ( admin @ SV8 )
= $true )
| ( ( rel @ SV3 @ SV8 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[103]) ).
thf(111,plain,
! [SV3: $i,SV8: $i,SV12: $i] :
( ( ( ~ ~ ( ~ ( rel @ ( sK3_SY78 @ SV12 @ SV8 @ SV3 ) @ ( sK4_SY227 @ SV12 @ SV8 @ SV3 ) )
| ~ ~ ( deletefile1 @ ( sK4_SY227 @ SV12 @ SV8 @ SV3 ) ) )
| ~ ~ ( bob @ ( sK3_SY78 @ SV12 @ SV8 @ SV3 ) ) )
= $false )
| ( ( ! [SY246: $i] :
( ~ ( rel @ SV12 @ SY246 )
| ( deletefile1 @ SY246 ) ) )
= $true )
| ( ( rel @ SV8 @ SV12 )
= $false )
| ( ( admin @ SV8 )
= $true )
| ( ( rel @ SV3 @ SV8 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[104]) ).
thf(112,plain,
! [SV10: $i,SV5: $i > $o,SV17: $i,SV14: $i] :
( ( ( rel @ SV14 @ SV17 )
= $false )
| ( ( SV5 @ SV17 )
= $true )
| ( ( rel @ SV10 @ SV14 )
= $false )
| ( ( SV5 @ ( sK7_SY197 @ SV10 @ SV5 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[106]) ).
thf(113,plain,
! [SV2: $i,SV7: $i] :
( ( ( rel @ ( sK5_SY145 @ SV7 @ SV2 ) @ ( sK6_SY228 @ SV7 @ SV2 ) )
= $true )
| ( ( ! [SY241: $i] :
( ~ ( rel @ SV7 @ SY241 )
| ( deletefile1 @ SY241 ) ) )
= $true )
| ( ( rel @ SV2 @ SV7 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[107]) ).
thf(114,plain,
! [SV2: $i,SV7: $i] :
( ( ( ~ ( deletefile1 @ ( sK6_SY228 @ SV7 @ SV2 ) ) )
= $true )
| ( ( ! [SY241: $i] :
( ~ ( rel @ SV7 @ SY241 )
| ( deletefile1 @ SY241 ) ) )
= $true )
| ( ( rel @ SV2 @ SV7 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[108]) ).
thf(115,plain,
! [SV2: $i,SV18: $i,SV7: $i] :
( ( ( ~ ( rel @ SV7 @ SV18 ) )
= $true )
| ( ( deletefile1 @ SV18 )
= $true )
| ( ( admin @ ( sK5_SY145 @ SV7 @ SV2 ) )
= $false )
| ( ( rel @ SV2 @ SV7 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[109]) ).
thf(116,plain,
! [SV3: $i,SV8: $i,SV19: $i,SV12: $i] :
( ( ( ~ ( rel @ SV12 @ SV19 ) )
= $true )
| ( ( deletefile1 @ SV19 )
= $true )
| ( ( rel @ SV12 @ ( sK3_SY78 @ SV12 @ SV8 @ SV3 ) )
= $true )
| ( ( rel @ SV8 @ SV12 )
= $false )
| ( ( admin @ SV8 )
= $true )
| ( ( rel @ SV3 @ SV8 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[110]) ).
thf(117,plain,
! [SV3: $i,SV8: $i,SV12: $i] :
( ( ( ~ ~ ( ~ ( rel @ ( sK3_SY78 @ SV12 @ SV8 @ SV3 ) @ ( sK4_SY227 @ SV12 @ SV8 @ SV3 ) )
| ~ ~ ( deletefile1 @ ( sK4_SY227 @ SV12 @ SV8 @ SV3 ) ) ) )
= $false )
| ( ( ! [SY246: $i] :
( ~ ( rel @ SV12 @ SY246 )
| ( deletefile1 @ SY246 ) ) )
= $true )
| ( ( rel @ SV8 @ SV12 )
= $false )
| ( ( admin @ SV8 )
= $true )
| ( ( rel @ SV3 @ SV8 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[111]) ).
thf(118,plain,
! [SV3: $i,SV8: $i,SV12: $i] :
( ( ( ~ ~ ( bob @ ( sK3_SY78 @ SV12 @ SV8 @ SV3 ) ) )
= $false )
| ( ( ! [SY246: $i] :
( ~ ( rel @ SV12 @ SY246 )
| ( deletefile1 @ SY246 ) ) )
= $true )
| ( ( rel @ SV8 @ SV12 )
= $false )
| ( ( admin @ SV8 )
= $true )
| ( ( rel @ SV3 @ SV8 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[111]) ).
thf(119,plain,
! [SV2: $i,SV20: $i,SV7: $i] :
( ( ( ~ ( rel @ SV7 @ SV20 )
| ( deletefile1 @ SV20 ) )
= $true )
| ( ( rel @ ( sK5_SY145 @ SV7 @ SV2 ) @ ( sK6_SY228 @ SV7 @ SV2 ) )
= $true )
| ( ( rel @ SV2 @ SV7 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[113]) ).
thf(120,plain,
! [SV2: $i,SV7: $i] :
( ( ( deletefile1 @ ( sK6_SY228 @ SV7 @ SV2 ) )
= $false )
| ( ( ! [SY241: $i] :
( ~ ( rel @ SV7 @ SY241 )
| ( deletefile1 @ SY241 ) ) )
= $true )
| ( ( rel @ SV2 @ SV7 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[114]) ).
thf(121,plain,
! [SV2: $i,SV18: $i,SV7: $i] :
( ( ( rel @ SV7 @ SV18 )
= $false )
| ( ( deletefile1 @ SV18 )
= $true )
| ( ( admin @ ( sK5_SY145 @ SV7 @ SV2 ) )
= $false )
| ( ( rel @ SV2 @ SV7 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[115]) ).
thf(122,plain,
! [SV3: $i,SV8: $i,SV19: $i,SV12: $i] :
( ( ( rel @ SV12 @ SV19 )
= $false )
| ( ( deletefile1 @ SV19 )
= $true )
| ( ( rel @ SV12 @ ( sK3_SY78 @ SV12 @ SV8 @ SV3 ) )
= $true )
| ( ( rel @ SV8 @ SV12 )
= $false )
| ( ( admin @ SV8 )
= $true )
| ( ( rel @ SV3 @ SV8 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[116]) ).
thf(123,plain,
! [SV3: $i,SV8: $i,SV12: $i] :
( ( ( ~ ( ~ ( rel @ ( sK3_SY78 @ SV12 @ SV8 @ SV3 ) @ ( sK4_SY227 @ SV12 @ SV8 @ SV3 ) )
| ~ ~ ( deletefile1 @ ( sK4_SY227 @ SV12 @ SV8 @ SV3 ) ) ) )
= $true )
| ( ( ! [SY246: $i] :
( ~ ( rel @ SV12 @ SY246 )
| ( deletefile1 @ SY246 ) ) )
= $true )
| ( ( rel @ SV8 @ SV12 )
= $false )
| ( ( admin @ SV8 )
= $true )
| ( ( rel @ SV3 @ SV8 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[117]) ).
thf(124,plain,
! [SV3: $i,SV8: $i,SV12: $i] :
( ( ( ~ ( bob @ ( sK3_SY78 @ SV12 @ SV8 @ SV3 ) ) )
= $true )
| ( ( ! [SY246: $i] :
( ~ ( rel @ SV12 @ SY246 )
| ( deletefile1 @ SY246 ) ) )
= $true )
| ( ( rel @ SV8 @ SV12 )
= $false )
| ( ( admin @ SV8 )
= $true )
| ( ( rel @ SV3 @ SV8 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[118]) ).
thf(125,plain,
! [SV2: $i,SV20: $i,SV7: $i] :
( ( ( ~ ( rel @ SV7 @ SV20 ) )
= $true )
| ( ( deletefile1 @ SV20 )
= $true )
| ( ( rel @ ( sK5_SY145 @ SV7 @ SV2 ) @ ( sK6_SY228 @ SV7 @ SV2 ) )
= $true )
| ( ( rel @ SV2 @ SV7 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[119]) ).
thf(126,plain,
! [SV2: $i,SV21: $i,SV7: $i] :
( ( ( ~ ( rel @ SV7 @ SV21 )
| ( deletefile1 @ SV21 ) )
= $true )
| ( ( deletefile1 @ ( sK6_SY228 @ SV7 @ SV2 ) )
= $false )
| ( ( rel @ SV2 @ SV7 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[120]) ).
thf(127,plain,
! [SV3: $i,SV8: $i,SV12: $i] :
( ( ( ~ ( rel @ ( sK3_SY78 @ SV12 @ SV8 @ SV3 ) @ ( sK4_SY227 @ SV12 @ SV8 @ SV3 ) )
| ~ ~ ( deletefile1 @ ( sK4_SY227 @ SV12 @ SV8 @ SV3 ) ) )
= $false )
| ( ( ! [SY246: $i] :
( ~ ( rel @ SV12 @ SY246 )
| ( deletefile1 @ SY246 ) ) )
= $true )
| ( ( rel @ SV8 @ SV12 )
= $false )
| ( ( admin @ SV8 )
= $true )
| ( ( rel @ SV3 @ SV8 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[123]) ).
thf(128,plain,
! [SV3: $i,SV8: $i,SV12: $i] :
( ( ( bob @ ( sK3_SY78 @ SV12 @ SV8 @ SV3 ) )
= $false )
| ( ( ! [SY246: $i] :
( ~ ( rel @ SV12 @ SY246 )
| ( deletefile1 @ SY246 ) ) )
= $true )
| ( ( rel @ SV8 @ SV12 )
= $false )
| ( ( admin @ SV8 )
= $true )
| ( ( rel @ SV3 @ SV8 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[124]) ).
thf(129,plain,
! [SV2: $i,SV20: $i,SV7: $i] :
( ( ( rel @ SV7 @ SV20 )
= $false )
| ( ( deletefile1 @ SV20 )
= $true )
| ( ( rel @ ( sK5_SY145 @ SV7 @ SV2 ) @ ( sK6_SY228 @ SV7 @ SV2 ) )
= $true )
| ( ( rel @ SV2 @ SV7 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[125]) ).
thf(130,plain,
! [SV2: $i,SV21: $i,SV7: $i] :
( ( ( ~ ( rel @ SV7 @ SV21 ) )
= $true )
| ( ( deletefile1 @ SV21 )
= $true )
| ( ( deletefile1 @ ( sK6_SY228 @ SV7 @ SV2 ) )
= $false )
| ( ( rel @ SV2 @ SV7 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[126]) ).
thf(131,plain,
! [SV3: $i,SV8: $i,SV12: $i] :
( ( ( ~ ( rel @ ( sK3_SY78 @ SV12 @ SV8 @ SV3 ) @ ( sK4_SY227 @ SV12 @ SV8 @ SV3 ) ) )
= $false )
| ( ( ! [SY246: $i] :
( ~ ( rel @ SV12 @ SY246 )
| ( deletefile1 @ SY246 ) ) )
= $true )
| ( ( rel @ SV8 @ SV12 )
= $false )
| ( ( admin @ SV8 )
= $true )
| ( ( rel @ SV3 @ SV8 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[127]) ).
thf(132,plain,
! [SV3: $i,SV8: $i,SV12: $i] :
( ( ( ~ ~ ( deletefile1 @ ( sK4_SY227 @ SV12 @ SV8 @ SV3 ) ) )
= $false )
| ( ( ! [SY246: $i] :
( ~ ( rel @ SV12 @ SY246 )
| ( deletefile1 @ SY246 ) ) )
= $true )
| ( ( rel @ SV8 @ SV12 )
= $false )
| ( ( admin @ SV8 )
= $true )
| ( ( rel @ SV3 @ SV8 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[127]) ).
thf(133,plain,
! [SV3: $i,SV8: $i,SV22: $i,SV12: $i] :
( ( ( ~ ( rel @ SV12 @ SV22 )
| ( deletefile1 @ SV22 ) )
= $true )
| ( ( bob @ ( sK3_SY78 @ SV12 @ SV8 @ SV3 ) )
= $false )
| ( ( rel @ SV8 @ SV12 )
= $false )
| ( ( admin @ SV8 )
= $true )
| ( ( rel @ SV3 @ SV8 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[128]) ).
thf(134,plain,
! [SV2: $i,SV21: $i,SV7: $i] :
( ( ( rel @ SV7 @ SV21 )
= $false )
| ( ( deletefile1 @ SV21 )
= $true )
| ( ( deletefile1 @ ( sK6_SY228 @ SV7 @ SV2 ) )
= $false )
| ( ( rel @ SV2 @ SV7 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[130]) ).
thf(135,plain,
! [SV3: $i,SV8: $i,SV12: $i] :
( ( ( rel @ ( sK3_SY78 @ SV12 @ SV8 @ SV3 ) @ ( sK4_SY227 @ SV12 @ SV8 @ SV3 ) )
= $true )
| ( ( ! [SY246: $i] :
( ~ ( rel @ SV12 @ SY246 )
| ( deletefile1 @ SY246 ) ) )
= $true )
| ( ( rel @ SV8 @ SV12 )
= $false )
| ( ( admin @ SV8 )
= $true )
| ( ( rel @ SV3 @ SV8 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[131]) ).
thf(136,plain,
! [SV3: $i,SV8: $i,SV12: $i] :
( ( ( ~ ( deletefile1 @ ( sK4_SY227 @ SV12 @ SV8 @ SV3 ) ) )
= $true )
| ( ( ! [SY246: $i] :
( ~ ( rel @ SV12 @ SY246 )
| ( deletefile1 @ SY246 ) ) )
= $true )
| ( ( rel @ SV8 @ SV12 )
= $false )
| ( ( admin @ SV8 )
= $true )
| ( ( rel @ SV3 @ SV8 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[132]) ).
thf(137,plain,
! [SV3: $i,SV8: $i,SV22: $i,SV12: $i] :
( ( ( ~ ( rel @ SV12 @ SV22 ) )
= $true )
| ( ( deletefile1 @ SV22 )
= $true )
| ( ( bob @ ( sK3_SY78 @ SV12 @ SV8 @ SV3 ) )
= $false )
| ( ( rel @ SV8 @ SV12 )
= $false )
| ( ( admin @ SV8 )
= $true )
| ( ( rel @ SV3 @ SV8 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[133]) ).
thf(138,plain,
! [SV3: $i,SV8: $i,SV23: $i,SV12: $i] :
( ( ( ~ ( rel @ SV12 @ SV23 )
| ( deletefile1 @ SV23 ) )
= $true )
| ( ( rel @ ( sK3_SY78 @ SV12 @ SV8 @ SV3 ) @ ( sK4_SY227 @ SV12 @ SV8 @ SV3 ) )
= $true )
| ( ( rel @ SV8 @ SV12 )
= $false )
| ( ( admin @ SV8 )
= $true )
| ( ( rel @ SV3 @ SV8 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[135]) ).
thf(139,plain,
! [SV3: $i,SV8: $i,SV12: $i] :
( ( ( deletefile1 @ ( sK4_SY227 @ SV12 @ SV8 @ SV3 ) )
= $false )
| ( ( ! [SY246: $i] :
( ~ ( rel @ SV12 @ SY246 )
| ( deletefile1 @ SY246 ) ) )
= $true )
| ( ( rel @ SV8 @ SV12 )
= $false )
| ( ( admin @ SV8 )
= $true )
| ( ( rel @ SV3 @ SV8 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[136]) ).
thf(140,plain,
! [SV3: $i,SV8: $i,SV22: $i,SV12: $i] :
( ( ( rel @ SV12 @ SV22 )
= $false )
| ( ( deletefile1 @ SV22 )
= $true )
| ( ( bob @ ( sK3_SY78 @ SV12 @ SV8 @ SV3 ) )
= $false )
| ( ( rel @ SV8 @ SV12 )
= $false )
| ( ( admin @ SV8 )
= $true )
| ( ( rel @ SV3 @ SV8 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[137]) ).
thf(141,plain,
! [SV3: $i,SV8: $i,SV23: $i,SV12: $i] :
( ( ( ~ ( rel @ SV12 @ SV23 ) )
= $true )
| ( ( deletefile1 @ SV23 )
= $true )
| ( ( rel @ ( sK3_SY78 @ SV12 @ SV8 @ SV3 ) @ ( sK4_SY227 @ SV12 @ SV8 @ SV3 ) )
= $true )
| ( ( rel @ SV8 @ SV12 )
= $false )
| ( ( admin @ SV8 )
= $true )
| ( ( rel @ SV3 @ SV8 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[138]) ).
thf(142,plain,
! [SV3: $i,SV8: $i,SV24: $i,SV12: $i] :
( ( ( ~ ( rel @ SV12 @ SV24 )
| ( deletefile1 @ SV24 ) )
= $true )
| ( ( deletefile1 @ ( sK4_SY227 @ SV12 @ SV8 @ SV3 ) )
= $false )
| ( ( rel @ SV8 @ SV12 )
= $false )
| ( ( admin @ SV8 )
= $true )
| ( ( rel @ SV3 @ SV8 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[139]) ).
thf(143,plain,
! [SV3: $i,SV8: $i,SV23: $i,SV12: $i] :
( ( ( rel @ SV12 @ SV23 )
= $false )
| ( ( deletefile1 @ SV23 )
= $true )
| ( ( rel @ ( sK3_SY78 @ SV12 @ SV8 @ SV3 ) @ ( sK4_SY227 @ SV12 @ SV8 @ SV3 ) )
= $true )
| ( ( rel @ SV8 @ SV12 )
= $false )
| ( ( admin @ SV8 )
= $true )
| ( ( rel @ SV3 @ SV8 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[141]) ).
thf(144,plain,
! [SV3: $i,SV8: $i,SV24: $i,SV12: $i] :
( ( ( ~ ( rel @ SV12 @ SV24 ) )
= $true )
| ( ( deletefile1 @ SV24 )
= $true )
| ( ( deletefile1 @ ( sK4_SY227 @ SV12 @ SV8 @ SV3 ) )
= $false )
| ( ( rel @ SV8 @ SV12 )
= $false )
| ( ( admin @ SV8 )
= $true )
| ( ( rel @ SV3 @ SV8 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[142]) ).
thf(145,plain,
! [SV3: $i,SV8: $i,SV24: $i,SV12: $i] :
( ( ( rel @ SV12 @ SV24 )
= $false )
| ( ( deletefile1 @ SV24 )
= $true )
| ( ( deletefile1 @ ( sK4_SY227 @ SV12 @ SV8 @ SV3 ) )
= $false )
| ( ( rel @ SV8 @ SV12 )
= $false )
| ( ( admin @ SV8 )
= $true )
| ( ( rel @ SV3 @ SV8 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[144]) ).
thf(146,plain,
$false = $true,
inference(fo_atp_e,[status(thm)],[29,145,143,140,134,129,122,121,112,105,94,77,74,66,36]) ).
thf(147,plain,
$false,
inference(solved_all_splits,[solved_all_splits(join,[])],[146]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : SWV428^2 : TPTP v9.3.1. Released v3.6.0.
% 0.00/0.04 % Command : leo --cores 7 --timeout 300 --proofoutput 1 --foatp e --atp e=/export/starexec/sandbox2/solver/bin/eprover /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.11/0.17 % Computer : n020.cluster.edu
% 0.11/0.17 % Model : x86_64 x86_64
% 0.11/0.17 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.17 % Memory : 8046.5625MB
% 0.11/0.17 % OS : Linux 6.8.0-71-generic
% 0.11/0.17 % CPULimit : 300
% 0.11/0.17 % WCLimit : 300
% 0.11/0.17 % DateTime : Tue Oct 6 16:31:06 UTC 2026
% 0.11/0.18 % CPUTime :
% 0.11/0.18 Running leo --cores 7 --timeout 300 --proofoutput 1 --foatp e --atp e=/export/starexec/sandbox2/solver/bin/eprover /export/starexec/sandbox2/benchmark/theBenchmark.p
% 81.10/13.75
% 81.10/13.75 No.of.Axioms: 5
% 81.10/13.75
% 81.10/13.75 Length.of.Defs: 3473
% 81.10/13.75
% 81.10/13.75 Contains.Choice.Funs: false
% 81.10/13.75 .......
% 81.10/13.75
% 81.10/13.75 ********************************
% 81.10/13.75 * All subproblems solved! *
% 81.10/13.75 ********************************
% 81.10/13.75 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p : (rf:0,axioms:6,ps:3,u:6,ude:true,rLeibEQ:true,rAndEQ:true,use_choice:true,use_extuni:true,use_extcnf_combined:true,expand_extuni:false,foatp:e,atp_timeout:25,atp_calls_frequency:5,ordering:none,proof_output:1,protocol_output:false,clause_count:146,loop_count:0,foatp_calls:1,translation:fof_full)
% 81.10/13.75
% 81.10/13.75 %**** Beginning of derivation protocol ****
% 81.10/13.75 % SZS output start CNFRefutation
% See solution above
% 81.10/13.75
% 81.10/13.75 %**** End of derivation protocol ****
% 81.10/13.75 %**** no. of clauses in derivation: 147 ****
% 81.10/13.75 %**** clause counter: 146 ****
% 81.10/13.75
% 81.10/13.75 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p : (rf:0,axioms:6,ps:3,u:6,ude:true,rLeibEQ:true,rAndEQ:true,use_choice:true,use_extuni:true,use_extcnf_combined:true,expand_extuni:false,foatp:e,atp_timeout:25,atp_calls_frequency:5,ordering:none,proof_output:1,protocol_output:false,clause_count:146,loop_count:0,foatp_calls:1,translation:fof_full)
%------------------------------------------------------------------------------