%------------------------------------------------------------------------------
% File : Z3---4.15.1
% Problem : CSR064+1 : TPTP v9.0.0. Released v3.4.0.
% Transfm : none
% Format : tptp
% Command : run_E %s %d THM
% Computer : n010.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 : Sat Jun 21 05:01:41 AM UTC 2025
% Result : Theorem 0.11s 0.37s
% Output : Proof 0.11s
% Verified :
% SZS Type : Refutation
% Derivation depth : 7
% Number of leaves : 23
% Syntax : Number of formulae : 50 ( 14 unt; 0 typ; 0 def)
% Number of atoms : 173 ( 0 equ)
% Maximal formula atoms : 8 ( 3 avg)
% Number of connectives : 221 ( 110 ~; 72 |; 9 &)
% ( 24 <=>; 6 =>; 0 <=; 0 <~>)
% Maximal formula depth : 8 ( 4 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of FOOLs : 12 ( 12 fml; 0 var)
% Number of types : 2 ( 0 usr)
% Number of type conns : 0 ( 0 >; 0 *; 0 +; 0 <<)
% Number of predicates : 9 ( 8 usr; 1 prp; 0-3 aty)
% Number of functors : 3 ( 3 usr; 2 con; 0-1 aty)
% Number of variables : 85 ( 75 !; 0 ?; 85 :)
% Comments :
%------------------------------------------------------------------------------
tff(subsetof_type,type,
subsetof: ( $i * $i ) > $o ).
tff(c_tptpcol_15_74743_type,type,
c_tptpcol_15_74743: $i ).
tff(f_urlfn_type,type,
f_urlfn: $i > $i ).
tff(s_http_wwwahwatukeecomafnentertainmentarticles030423ahtml_type,type,
s_http_wwwahwatukeecomafnentertainmentarticles030423ahtml: $i ).
tff(genls_type,type,
genls: ( $i * $i ) > $o ).
tff(setorcollection_type,type,
setorcollection: $i > $o ).
tff(individual_type,type,
individual: $i > $o ).
tff(1,plain,
( genls(f_urlfn(f_urlfn(s_http_wwwahwatukeecomafnentertainmentarticles030423ahtml)),c_tptpcol_15_74743)
<=> genls(f_urlfn(f_urlfn(s_http_wwwahwatukeecomafnentertainmentarticles030423ahtml)),c_tptpcol_15_74743) ),
inference(rewrite,[status(thm)],[]) ).
tff(2,plain,
( ~ ~ genls(f_urlfn(f_urlfn(s_http_wwwahwatukeecomafnentertainmentarticles030423ahtml)),c_tptpcol_15_74743)
<=> genls(f_urlfn(f_urlfn(s_http_wwwahwatukeecomafnentertainmentarticles030423ahtml)),c_tptpcol_15_74743) ),
inference(rewrite,[status(thm)],[]) ).
tff(3,axiom,
~ ~ genls(f_urlfn(f_urlfn(s_http_wwwahwatukeecomafnentertainmentarticles030423ahtml)),c_tptpcol_15_74743),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',query64) ).
tff(4,plain,
genls(f_urlfn(f_urlfn(s_http_wwwahwatukeecomafnentertainmentarticles030423ahtml)),c_tptpcol_15_74743),
inference(modus_ponens,[status(thm)],[3,2]) ).
tff(5,plain,
genls(f_urlfn(f_urlfn(s_http_wwwahwatukeecomafnentertainmentarticles030423ahtml)),c_tptpcol_15_74743),
inference(modus_ponens,[status(thm)],[4,1]) ).
tff(6,plain,
^ [ARG1: $i,ARG2: $i] :
refl(( ( ~ genls(ARG1,ARG2)
| subsetof(ARG1,ARG2) )
<=> ( ~ genls(ARG1,ARG2)
| subsetof(ARG1,ARG2) ) )),
inference(bind,[status(th)],[]) ).
tff(7,plain,
( ! [ARG1: $i,ARG2: $i] :
( ~ genls(ARG1,ARG2)
| subsetof(ARG1,ARG2) )
<=> ! [ARG1: $i,ARG2: $i] :
( ~ genls(ARG1,ARG2)
| subsetof(ARG1,ARG2) ) ),
inference(quant_intro,[status(thm)],[6]) ).
tff(8,plain,
( ! [ARG1: $i,ARG2: $i] :
( ~ genls(ARG1,ARG2)
| subsetof(ARG1,ARG2) )
<=> ! [ARG1: $i,ARG2: $i] :
( ~ genls(ARG1,ARG2)
| subsetof(ARG1,ARG2) ) ),
inference(rewrite,[status(thm)],[]) ).
tff(9,plain,
^ [ARG1: $i,ARG2: $i] :
rewrite(( ( genls(ARG1,ARG2)
=> subsetof(ARG1,ARG2) )
<=> ( ~ genls(ARG1,ARG2)
| subsetof(ARG1,ARG2) ) )),
inference(bind,[status(th)],[]) ).
tff(10,plain,
( ! [ARG1: $i,ARG2: $i] :
( genls(ARG1,ARG2)
=> subsetof(ARG1,ARG2) )
<=> ! [ARG1: $i,ARG2: $i] :
( ~ genls(ARG1,ARG2)
| subsetof(ARG1,ARG2) ) ),
inference(quant_intro,[status(thm)],[9]) ).
tff(11,axiom,
! [ARG1: $i,ARG2: $i] :
( genls(ARG1,ARG2)
=> subsetof(ARG1,ARG2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',just10) ).
tff(12,plain,
! [ARG1: $i,ARG2: $i] :
( ~ genls(ARG1,ARG2)
| subsetof(ARG1,ARG2) ),
inference(modus_ponens,[status(thm)],[11,10]) ).
tff(13,plain,
! [ARG1: $i,ARG2: $i] :
( ~ genls(ARG1,ARG2)
| subsetof(ARG1,ARG2) ),
inference(modus_ponens,[status(thm)],[12,8]) ).
tff(14,plain,
! [ARG1: $i,ARG2: $i] :
( ~ genls(ARG1,ARG2)
| subsetof(ARG1,ARG2) ),
inference(skolemize,[status(sab)],[13]) ).
tff(15,plain,
! [ARG1: $i,ARG2: $i] :
( ~ genls(ARG1,ARG2)
| subsetof(ARG1,ARG2) ),
inference(modus_ponens,[status(thm)],[14,7]) ).
tff(16,plain,
( ( ~ ! [ARG1: $i,ARG2: $i] :
( ~ genls(ARG1,ARG2)
| subsetof(ARG1,ARG2) )
| ~ genls(f_urlfn(f_urlfn(s_http_wwwahwatukeecomafnentertainmentarticles030423ahtml)),c_tptpcol_15_74743)
| subsetof(f_urlfn(f_urlfn(s_http_wwwahwatukeecomafnentertainmentarticles030423ahtml)),c_tptpcol_15_74743) )
<=> ( ~ ! [ARG1: $i,ARG2: $i] :
( ~ genls(ARG1,ARG2)
| subsetof(ARG1,ARG2) )
| ~ genls(f_urlfn(f_urlfn(s_http_wwwahwatukeecomafnentertainmentarticles030423ahtml)),c_tptpcol_15_74743)
| subsetof(f_urlfn(f_urlfn(s_http_wwwahwatukeecomafnentertainmentarticles030423ahtml)),c_tptpcol_15_74743) ) ),
inference(rewrite,[status(thm)],[]) ).
tff(17,plain,
( ~ ! [ARG1: $i,ARG2: $i] :
( ~ genls(ARG1,ARG2)
| subsetof(ARG1,ARG2) )
| ~ genls(f_urlfn(f_urlfn(s_http_wwwahwatukeecomafnentertainmentarticles030423ahtml)),c_tptpcol_15_74743)
| subsetof(f_urlfn(f_urlfn(s_http_wwwahwatukeecomafnentertainmentarticles030423ahtml)),c_tptpcol_15_74743) ),
inference(quant_inst,[status(thm)],[]) ).
tff(18,plain,
( ~ ! [ARG1: $i,ARG2: $i] :
( ~ genls(ARG1,ARG2)
| subsetof(ARG1,ARG2) )
| ~ genls(f_urlfn(f_urlfn(s_http_wwwahwatukeecomafnentertainmentarticles030423ahtml)),c_tptpcol_15_74743)
| subsetof(f_urlfn(f_urlfn(s_http_wwwahwatukeecomafnentertainmentarticles030423ahtml)),c_tptpcol_15_74743) ),
inference(modus_ponens,[status(thm)],[17,16]) ).
tff(19,plain,
subsetof(f_urlfn(f_urlfn(s_http_wwwahwatukeecomafnentertainmentarticles030423ahtml)),c_tptpcol_15_74743),
inference(unit_resolution,[status(thm)],[18,15,5]) ).
tff(20,plain,
( individual(f_urlfn(f_urlfn(s_http_wwwahwatukeecomafnentertainmentarticles030423ahtml)))
<=> individual(f_urlfn(f_urlfn(s_http_wwwahwatukeecomafnentertainmentarticles030423ahtml))) ),
inference(rewrite,[status(thm)],[]) ).
tff(21,axiom,
individual(f_urlfn(f_urlfn(s_http_wwwahwatukeecomafnentertainmentarticles030423ahtml))),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',just3) ).
tff(22,plain,
individual(f_urlfn(f_urlfn(s_http_wwwahwatukeecomafnentertainmentarticles030423ahtml))),
inference(modus_ponens,[status(thm)],[21,20]) ).
tff(23,plain,
^ [OBJ: $i] :
refl(( ( ~ individual(OBJ)
| ~ setorcollection(OBJ) )
<=> ( ~ individual(OBJ)
| ~ setorcollection(OBJ) ) )),
inference(bind,[status(th)],[]) ).
tff(24,plain,
( ! [OBJ: $i] :
( ~ individual(OBJ)
| ~ setorcollection(OBJ) )
<=> ! [OBJ: $i] :
( ~ individual(OBJ)
| ~ setorcollection(OBJ) ) ),
inference(quant_intro,[status(thm)],[23]) ).
tff(25,plain,
^ [OBJ: $i] :
trans(monotonicity(rewrite(( ( individual(OBJ)
& setorcollection(OBJ) )
<=> ~ ( ~ individual(OBJ)
| ~ setorcollection(OBJ) ) )),
( ~ ( individual(OBJ)
& setorcollection(OBJ) )
<=> ~ ~ ( ~ individual(OBJ)
| ~ setorcollection(OBJ) ) )),
rewrite(( ~ ~ ( ~ individual(OBJ)
| ~ setorcollection(OBJ) )
<=> ( ~ individual(OBJ)
| ~ setorcollection(OBJ) ) )),
( ~ ( individual(OBJ)
& setorcollection(OBJ) )
<=> ( ~ individual(OBJ)
| ~ setorcollection(OBJ) ) )),
inference(bind,[status(th)],[]) ).
tff(26,plain,
( ! [OBJ: $i] :
~ ( individual(OBJ)
& setorcollection(OBJ) )
<=> ! [OBJ: $i] :
( ~ individual(OBJ)
| ~ setorcollection(OBJ) ) ),
inference(quant_intro,[status(thm)],[25]) ).
tff(27,plain,
( ! [OBJ: $i] :
~ ( individual(OBJ)
& setorcollection(OBJ) )
<=> ! [OBJ: $i] :
~ ( individual(OBJ)
& setorcollection(OBJ) ) ),
inference(rewrite,[status(thm)],[]) ).
tff(28,axiom,
! [OBJ: $i] :
~ ( individual(OBJ)
& setorcollection(OBJ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',just2) ).
tff(29,plain,
! [OBJ: $i] :
~ ( individual(OBJ)
& setorcollection(OBJ) ),
inference(modus_ponens,[status(thm)],[28,27]) ).
tff(30,plain,
! [OBJ: $i] :
~ ( individual(OBJ)
& setorcollection(OBJ) ),
inference(skolemize,[status(sab)],[29]) ).
tff(31,plain,
! [OBJ: $i] :
( ~ individual(OBJ)
| ~ setorcollection(OBJ) ),
inference(modus_ponens,[status(thm)],[30,26]) ).
tff(32,plain,
! [OBJ: $i] :
( ~ individual(OBJ)
| ~ setorcollection(OBJ) ),
inference(modus_ponens,[status(thm)],[31,24]) ).
tff(33,plain,
( ( ~ ! [OBJ: $i] :
( ~ individual(OBJ)
| ~ setorcollection(OBJ) )
| ~ individual(f_urlfn(f_urlfn(s_http_wwwahwatukeecomafnentertainmentarticles030423ahtml)))
| ~ setorcollection(f_urlfn(f_urlfn(s_http_wwwahwatukeecomafnentertainmentarticles030423ahtml))) )
<=> ( ~ ! [OBJ: $i] :
( ~ individual(OBJ)
| ~ setorcollection(OBJ) )
| ~ individual(f_urlfn(f_urlfn(s_http_wwwahwatukeecomafnentertainmentarticles030423ahtml)))
| ~ setorcollection(f_urlfn(f_urlfn(s_http_wwwahwatukeecomafnentertainmentarticles030423ahtml))) ) ),
inference(rewrite,[status(thm)],[]) ).
tff(34,plain,
( ~ ! [OBJ: $i] :
( ~ individual(OBJ)
| ~ setorcollection(OBJ) )
| ~ individual(f_urlfn(f_urlfn(s_http_wwwahwatukeecomafnentertainmentarticles030423ahtml)))
| ~ setorcollection(f_urlfn(f_urlfn(s_http_wwwahwatukeecomafnentertainmentarticles030423ahtml))) ),
inference(quant_inst,[status(thm)],[]) ).
tff(35,plain,
( ~ ! [OBJ: $i] :
( ~ individual(OBJ)
| ~ setorcollection(OBJ) )
| ~ individual(f_urlfn(f_urlfn(s_http_wwwahwatukeecomafnentertainmentarticles030423ahtml)))
| ~ setorcollection(f_urlfn(f_urlfn(s_http_wwwahwatukeecomafnentertainmentarticles030423ahtml))) ),
inference(modus_ponens,[status(thm)],[34,33]) ).
tff(36,plain,
~ setorcollection(f_urlfn(f_urlfn(s_http_wwwahwatukeecomafnentertainmentarticles030423ahtml))),
inference(unit_resolution,[status(thm)],[35,32,22]) ).
tff(37,plain,
^ [INS: $i,ARG2: $i] :
refl(( ( setorcollection(INS)
| ~ subsetof(INS,ARG2) )
<=> ( setorcollection(INS)
| ~ subsetof(INS,ARG2) ) )),
inference(bind,[status(th)],[]) ).
tff(38,plain,
( ! [INS: $i,ARG2: $i] :
( setorcollection(INS)
| ~ subsetof(INS,ARG2) )
<=> ! [INS: $i,ARG2: $i] :
( setorcollection(INS)
| ~ subsetof(INS,ARG2) ) ),
inference(quant_intro,[status(thm)],[37]) ).
tff(39,plain,
( ! [INS: $i,ARG2: $i] :
( setorcollection(INS)
| ~ subsetof(INS,ARG2) )
<=> ! [INS: $i,ARG2: $i] :
( setorcollection(INS)
| ~ subsetof(INS,ARG2) ) ),
inference(rewrite,[status(thm)],[]) ).
tff(40,plain,
^ [INS: $i,ARG2: $i] :
rewrite(( ( subsetof(INS,ARG2)
=> setorcollection(INS) )
<=> ( setorcollection(INS)
| ~ subsetof(INS,ARG2) ) )),
inference(bind,[status(th)],[]) ).
tff(41,plain,
( ! [INS: $i,ARG2: $i] :
( subsetof(INS,ARG2)
=> setorcollection(INS) )
<=> ! [INS: $i,ARG2: $i] :
( setorcollection(INS)
| ~ subsetof(INS,ARG2) ) ),
inference(quant_intro,[status(thm)],[40]) ).
tff(42,axiom,
! [INS: $i,ARG2: $i] :
( subsetof(INS,ARG2)
=> setorcollection(INS) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',just41) ).
tff(43,plain,
! [INS: $i,ARG2: $i] :
( setorcollection(INS)
| ~ subsetof(INS,ARG2) ),
inference(modus_ponens,[status(thm)],[42,41]) ).
tff(44,plain,
! [INS: $i,ARG2: $i] :
( setorcollection(INS)
| ~ subsetof(INS,ARG2) ),
inference(modus_ponens,[status(thm)],[43,39]) ).
tff(45,plain,
! [INS: $i,ARG2: $i] :
( setorcollection(INS)
| ~ subsetof(INS,ARG2) ),
inference(skolemize,[status(sab)],[44]) ).
tff(46,plain,
! [INS: $i,ARG2: $i] :
( setorcollection(INS)
| ~ subsetof(INS,ARG2) ),
inference(modus_ponens,[status(thm)],[45,38]) ).
tff(47,plain,
( ( ~ ! [INS: $i,ARG2: $i] :
( setorcollection(INS)
| ~ subsetof(INS,ARG2) )
| setorcollection(f_urlfn(f_urlfn(s_http_wwwahwatukeecomafnentertainmentarticles030423ahtml)))
| ~ subsetof(f_urlfn(f_urlfn(s_http_wwwahwatukeecomafnentertainmentarticles030423ahtml)),c_tptpcol_15_74743) )
<=> ( ~ ! [INS: $i,ARG2: $i] :
( setorcollection(INS)
| ~ subsetof(INS,ARG2) )
| setorcollection(f_urlfn(f_urlfn(s_http_wwwahwatukeecomafnentertainmentarticles030423ahtml)))
| ~ subsetof(f_urlfn(f_urlfn(s_http_wwwahwatukeecomafnentertainmentarticles030423ahtml)),c_tptpcol_15_74743) ) ),
inference(rewrite,[status(thm)],[]) ).
tff(48,plain,
( ~ ! [INS: $i,ARG2: $i] :
( setorcollection(INS)
| ~ subsetof(INS,ARG2) )
| setorcollection(f_urlfn(f_urlfn(s_http_wwwahwatukeecomafnentertainmentarticles030423ahtml)))
| ~ subsetof(f_urlfn(f_urlfn(s_http_wwwahwatukeecomafnentertainmentarticles030423ahtml)),c_tptpcol_15_74743) ),
inference(quant_inst,[status(thm)],[]) ).
tff(49,plain,
( ~ ! [INS: $i,ARG2: $i] :
( setorcollection(INS)
| ~ subsetof(INS,ARG2) )
| setorcollection(f_urlfn(f_urlfn(s_http_wwwahwatukeecomafnentertainmentarticles030423ahtml)))
| ~ subsetof(f_urlfn(f_urlfn(s_http_wwwahwatukeecomafnentertainmentarticles030423ahtml)),c_tptpcol_15_74743) ),
inference(modus_ponens,[status(thm)],[48,47]) ).
tff(50,plain,
$false,
inference(unit_resolution,[status(thm)],[49,46,36,19]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.08/0.12 % Problem : CSR064+1 : TPTP v9.0.0. Released v3.4.0.
% 0.08/0.12 % Command : run_E %s %d THM
% 0.11/0.32 % Computer : n010.cluster.edu
% 0.11/0.32 % Model : x86_64 x86_64
% 0.11/0.32 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.32 % Memory : 8042.1875MB
% 0.11/0.32 % OS : Linux 3.10.0-693.el7.x86_64
% 0.11/0.32 % CPULimit : 300
% 0.11/0.32 % WCLimit : 300
% 0.11/0.32 % DateTime : Thu Jun 19 12:50:11 EDT 2025
% 0.11/0.33 % CPUTime :
% 0.11/0.37 % SZS status Theorem
% 0.11/0.37 % SZS output start Proof
% See solution above
% 0.11/0.38 % E exiting
%------------------------------------------------------------------------------