%------------------------------------------------------------------------------
% File : Z3---4.15.1
% Problem : CSR063+4 : TPTP v9.0.0. Released v3.4.0.
% Transfm : none
% Format : tptp
% Command : run_E %s %d THM
% Computer : n001.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 05:01:40 AM UTC 2025
% Result : Theorem 10.97s 11.14s
% Output : Proof 11.85s
% Verified :
% SZS Type : Refutation
% Derivation depth : 6
% Number of leaves : 17
% Syntax : Number of formulae : 36 ( 11 unt; 0 typ; 0 def)
% Number of atoms : 124 ( 0 equ)
% Maximal formula atoms : 8 ( 3 avg)
% Number of connectives : 164 ( 86 ~; 48 |; 9 &)
% ( 18 <=>; 3 =>; 0 <=; 0 <~>)
% Maximal formula depth : 8 ( 4 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of FOOLs : 10 ( 10 fml; 0 var)
% Number of types : 2 ( 0 usr)
% Number of type conns : 0 ( 0 >; 0 *; 0 +; 0 <<)
% Number of predicates : 8 ( 7 usr; 1 prp; 0-3 aty)
% Number of functors : 4 ( 4 usr; 2 con; 0-1 aty)
% Number of variables : 51 ( 45 !; 0 ?; 51 :)
% Comments :
%------------------------------------------------------------------------------
tff(collection_type,type,
collection: $i > $o ).
tff(f_urlreferentfn_type,type,
f_urlreferentfn: $i > $i ).
tff(f_urlfn_type,type,
f_urlfn: $i > $i ).
tff(s_http_fwsistercitiesorgpdfsmbabanembabane20activity20pages2pdf_type,type,
s_http_fwsistercitiesorgpdfsmbabanembabane20activity20pages2pdf: $i ).
tff(individual_type,type,
individual: $i > $o ).
tff(disjointwith_type,type,
disjointwith: ( $i * $i ) > $o ).
tff(c_tptpcol_16_118949_type,type,
c_tptpcol_16_118949: $i ).
tff(1,plain,
( individual(f_urlreferentfn(f_urlfn(s_http_fwsistercitiesorgpdfsmbabanembabane20activity20pages2pdf)))
<=> individual(f_urlreferentfn(f_urlfn(s_http_fwsistercitiesorgpdfsmbabanembabane20activity20pages2pdf))) ),
inference(rewrite,[status(thm)],[]) ).
tff(2,axiom,
individual(f_urlreferentfn(f_urlfn(s_http_fwsistercitiesorgpdfsmbabanembabane20activity20pages2pdf))),
file('/export/starexec/sandbox/benchmark/Axioms/CSR002+3.ax',ax3_23452) ).
tff(3,plain,
individual(f_urlreferentfn(f_urlfn(s_http_fwsistercitiesorgpdfsmbabanembabane20activity20pages2pdf))),
inference(modus_ponens,[status(thm)],[2,1]) ).
tff(4,plain,
^ [OBJ: $i] :
refl(( ( ~ collection(OBJ)
| ~ individual(OBJ) )
<=> ( ~ collection(OBJ)
| ~ individual(OBJ) ) )),
inference(bind,[status(th)],[]) ).
tff(5,plain,
( ! [OBJ: $i] :
( ~ collection(OBJ)
| ~ individual(OBJ) )
<=> ! [OBJ: $i] :
( ~ collection(OBJ)
| ~ individual(OBJ) ) ),
inference(quant_intro,[status(thm)],[4]) ).
tff(6,plain,
^ [OBJ: $i] :
trans(monotonicity(rewrite(( ( collection(OBJ)
& individual(OBJ) )
<=> ~ ( ~ collection(OBJ)
| ~ individual(OBJ) ) )),
( ~ ( collection(OBJ)
& individual(OBJ) )
<=> ~ ~ ( ~ collection(OBJ)
| ~ individual(OBJ) ) )),
rewrite(( ~ ~ ( ~ collection(OBJ)
| ~ individual(OBJ) )
<=> ( ~ collection(OBJ)
| ~ individual(OBJ) ) )),
( ~ ( collection(OBJ)
& individual(OBJ) )
<=> ( ~ collection(OBJ)
| ~ individual(OBJ) ) )),
inference(bind,[status(th)],[]) ).
tff(7,plain,
( ! [OBJ: $i] :
~ ( collection(OBJ)
& individual(OBJ) )
<=> ! [OBJ: $i] :
( ~ collection(OBJ)
| ~ individual(OBJ) ) ),
inference(quant_intro,[status(thm)],[6]) ).
tff(8,plain,
( ! [OBJ: $i] :
~ ( collection(OBJ)
& individual(OBJ) )
<=> ! [OBJ: $i] :
~ ( collection(OBJ)
& individual(OBJ) ) ),
inference(rewrite,[status(thm)],[]) ).
tff(9,axiom,
! [OBJ: $i] :
~ ( collection(OBJ)
& individual(OBJ) ),
file('/export/starexec/sandbox/benchmark/Axioms/CSR002+3.ax',ax3_4028) ).
tff(10,plain,
! [OBJ: $i] :
~ ( collection(OBJ)
& individual(OBJ) ),
inference(modus_ponens,[status(thm)],[9,8]) ).
tff(11,plain,
! [OBJ: $i] :
~ ( collection(OBJ)
& individual(OBJ) ),
inference(skolemize,[status(sab)],[10]) ).
tff(12,plain,
! [OBJ: $i] :
( ~ collection(OBJ)
| ~ individual(OBJ) ),
inference(modus_ponens,[status(thm)],[11,7]) ).
tff(13,plain,
! [OBJ: $i] :
( ~ collection(OBJ)
| ~ individual(OBJ) ),
inference(modus_ponens,[status(thm)],[12,5]) ).
tff(14,plain,
( ( ~ ! [OBJ: $i] :
( ~ collection(OBJ)
| ~ individual(OBJ) )
| ~ collection(f_urlreferentfn(f_urlfn(s_http_fwsistercitiesorgpdfsmbabanembabane20activity20pages2pdf)))
| ~ individual(f_urlreferentfn(f_urlfn(s_http_fwsistercitiesorgpdfsmbabanembabane20activity20pages2pdf))) )
<=> ( ~ ! [OBJ: $i] :
( ~ collection(OBJ)
| ~ individual(OBJ) )
| ~ collection(f_urlreferentfn(f_urlfn(s_http_fwsistercitiesorgpdfsmbabanembabane20activity20pages2pdf)))
| ~ individual(f_urlreferentfn(f_urlfn(s_http_fwsistercitiesorgpdfsmbabanembabane20activity20pages2pdf))) ) ),
inference(rewrite,[status(thm)],[]) ).
tff(15,plain,
( ~ ! [OBJ: $i] :
( ~ collection(OBJ)
| ~ individual(OBJ) )
| ~ collection(f_urlreferentfn(f_urlfn(s_http_fwsistercitiesorgpdfsmbabanembabane20activity20pages2pdf)))
| ~ individual(f_urlreferentfn(f_urlfn(s_http_fwsistercitiesorgpdfsmbabanembabane20activity20pages2pdf))) ),
inference(quant_inst,[status(thm)],[]) ).
tff(16,plain,
( ~ ! [OBJ: $i] :
( ~ collection(OBJ)
| ~ individual(OBJ) )
| ~ collection(f_urlreferentfn(f_urlfn(s_http_fwsistercitiesorgpdfsmbabanembabane20activity20pages2pdf)))
| ~ individual(f_urlreferentfn(f_urlfn(s_http_fwsistercitiesorgpdfsmbabanembabane20activity20pages2pdf))) ),
inference(modus_ponens,[status(thm)],[15,14]) ).
tff(17,plain,
~ collection(f_urlreferentfn(f_urlfn(s_http_fwsistercitiesorgpdfsmbabanembabane20activity20pages2pdf))),
inference(unit_resolution,[status(thm)],[16,13,3]) ).
tff(18,plain,
( disjointwith(f_urlreferentfn(f_urlfn(s_http_fwsistercitiesorgpdfsmbabanembabane20activity20pages2pdf)),c_tptpcol_16_118949)
<=> disjointwith(f_urlreferentfn(f_urlfn(s_http_fwsistercitiesorgpdfsmbabanembabane20activity20pages2pdf)),c_tptpcol_16_118949) ),
inference(rewrite,[status(thm)],[]) ).
tff(19,plain,
( ~ ~ disjointwith(f_urlreferentfn(f_urlfn(s_http_fwsistercitiesorgpdfsmbabanembabane20activity20pages2pdf)),c_tptpcol_16_118949)
<=> disjointwith(f_urlreferentfn(f_urlfn(s_http_fwsistercitiesorgpdfsmbabanembabane20activity20pages2pdf)),c_tptpcol_16_118949) ),
inference(rewrite,[status(thm)],[]) ).
tff(20,axiom,
~ ~ disjointwith(f_urlreferentfn(f_urlfn(s_http_fwsistercitiesorgpdfsmbabanembabane20activity20pages2pdf)),c_tptpcol_16_118949),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',query213) ).
tff(21,plain,
disjointwith(f_urlreferentfn(f_urlfn(s_http_fwsistercitiesorgpdfsmbabanembabane20activity20pages2pdf)),c_tptpcol_16_118949),
inference(modus_ponens,[status(thm)],[20,19]) ).
tff(22,plain,
disjointwith(f_urlreferentfn(f_urlfn(s_http_fwsistercitiesorgpdfsmbabanembabane20activity20pages2pdf)),c_tptpcol_16_118949),
inference(modus_ponens,[status(thm)],[21,18]) ).
tff(23,plain,
^ [INS: $i,ARG2: $i] :
refl(( ( collection(INS)
| ~ disjointwith(INS,ARG2) )
<=> ( collection(INS)
| ~ disjointwith(INS,ARG2) ) )),
inference(bind,[status(th)],[]) ).
tff(24,plain,
( ! [INS: $i,ARG2: $i] :
( collection(INS)
| ~ disjointwith(INS,ARG2) )
<=> ! [INS: $i,ARG2: $i] :
( collection(INS)
| ~ disjointwith(INS,ARG2) ) ),
inference(quant_intro,[status(thm)],[23]) ).
tff(25,plain,
( ! [INS: $i,ARG2: $i] :
( collection(INS)
| ~ disjointwith(INS,ARG2) )
<=> ! [INS: $i,ARG2: $i] :
( collection(INS)
| ~ disjointwith(INS,ARG2) ) ),
inference(rewrite,[status(thm)],[]) ).
tff(26,plain,
^ [INS: $i,ARG2: $i] :
rewrite(( ( disjointwith(INS,ARG2)
=> collection(INS) )
<=> ( collection(INS)
| ~ disjointwith(INS,ARG2) ) )),
inference(bind,[status(th)],[]) ).
tff(27,plain,
( ! [INS: $i,ARG2: $i] :
( disjointwith(INS,ARG2)
=> collection(INS) )
<=> ! [INS: $i,ARG2: $i] :
( collection(INS)
| ~ disjointwith(INS,ARG2) ) ),
inference(quant_intro,[status(thm)],[26]) ).
tff(28,axiom,
! [INS: $i,ARG2: $i] :
( disjointwith(INS,ARG2)
=> collection(INS) ),
file('/export/starexec/sandbox/benchmark/Axioms/CSR002+3.ax',ax3_41385) ).
tff(29,plain,
! [INS: $i,ARG2: $i] :
( collection(INS)
| ~ disjointwith(INS,ARG2) ),
inference(modus_ponens,[status(thm)],[28,27]) ).
tff(30,plain,
! [INS: $i,ARG2: $i] :
( collection(INS)
| ~ disjointwith(INS,ARG2) ),
inference(modus_ponens,[status(thm)],[29,25]) ).
tff(31,plain,
! [INS: $i,ARG2: $i] :
( collection(INS)
| ~ disjointwith(INS,ARG2) ),
inference(skolemize,[status(sab)],[30]) ).
tff(32,plain,
! [INS: $i,ARG2: $i] :
( collection(INS)
| ~ disjointwith(INS,ARG2) ),
inference(modus_ponens,[status(thm)],[31,24]) ).
tff(33,plain,
( ( ~ ! [INS: $i,ARG2: $i] :
( collection(INS)
| ~ disjointwith(INS,ARG2) )
| collection(f_urlreferentfn(f_urlfn(s_http_fwsistercitiesorgpdfsmbabanembabane20activity20pages2pdf)))
| ~ disjointwith(f_urlreferentfn(f_urlfn(s_http_fwsistercitiesorgpdfsmbabanembabane20activity20pages2pdf)),c_tptpcol_16_118949) )
<=> ( ~ ! [INS: $i,ARG2: $i] :
( collection(INS)
| ~ disjointwith(INS,ARG2) )
| collection(f_urlreferentfn(f_urlfn(s_http_fwsistercitiesorgpdfsmbabanembabane20activity20pages2pdf)))
| ~ disjointwith(f_urlreferentfn(f_urlfn(s_http_fwsistercitiesorgpdfsmbabanembabane20activity20pages2pdf)),c_tptpcol_16_118949) ) ),
inference(rewrite,[status(thm)],[]) ).
tff(34,plain,
( ~ ! [INS: $i,ARG2: $i] :
( collection(INS)
| ~ disjointwith(INS,ARG2) )
| collection(f_urlreferentfn(f_urlfn(s_http_fwsistercitiesorgpdfsmbabanembabane20activity20pages2pdf)))
| ~ disjointwith(f_urlreferentfn(f_urlfn(s_http_fwsistercitiesorgpdfsmbabanembabane20activity20pages2pdf)),c_tptpcol_16_118949) ),
inference(quant_inst,[status(thm)],[]) ).
tff(35,plain,
( ~ ! [INS: $i,ARG2: $i] :
( collection(INS)
| ~ disjointwith(INS,ARG2) )
| collection(f_urlreferentfn(f_urlfn(s_http_fwsistercitiesorgpdfsmbabanembabane20activity20pages2pdf)))
| ~ disjointwith(f_urlreferentfn(f_urlfn(s_http_fwsistercitiesorgpdfsmbabanembabane20activity20pages2pdf)),c_tptpcol_16_118949) ),
inference(modus_ponens,[status(thm)],[34,33]) ).
tff(36,plain,
$false,
inference(unit_resolution,[status(thm)],[35,32,22,17]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : CSR063+4 : TPTP v9.0.0. Released v3.4.0.
% 0.03/0.12 % Command : run_E %s %d THM
% 0.12/0.33 % Computer : n001.cluster.edu
% 0.12/0.33 % Model : x86_64 x86_64
% 0.12/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33 % Memory : 8042.1875MB
% 0.12/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33 % CPULimit : 300
% 0.12/0.33 % WCLimit : 300
% 0.12/0.33 % DateTime : Thu Jun 19 12:52:33 EDT 2025
% 0.12/0.34 % CPUTime :
% 10.97/11.14 % SZS status Theorem
% 10.97/11.14 % SZS output start Proof
% See solution above
% 11.92/12.12 % E exiting
%------------------------------------------------------------------------------