%------------------------------------------------------------------------------
% File : Z3---4.15.1
% Problem : CSR034+4 : TPTP v9.0.0. Released v3.4.0.
% Transfm : none
% Format : tptp
% Command : run_E %s %d THM
% Computer : n015.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 05:01:21 AM UTC 2025
% Result : Theorem 95.37s 95.56s
% Output : Proof 96.35s
% Verified :
% SZS Type : Refutation
% Derivation depth : 8
% Number of leaves : 15
% Syntax : Number of formulae : 33 ( 8 unt; 0 typ; 0 def)
% Number of atoms : 100 ( 0 equ)
% Maximal formula atoms : 8 ( 3 avg)
% Number of connectives : 125 ( 64 ~; 45 |; 0 &)
% ( 11 <=>; 5 =>; 0 <=; 0 <~>)
% Maximal formula depth : 7 ( 4 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of FOOLs : 6 ( 6 fml; 0 var)
% Number of types : 2 ( 0 usr)
% Number of type conns : 0 ( 0 >; 0 *; 0 +; 0 <<)
% Number of predicates : 7 ( 5 usr; 1 prp; 0-2 aty)
% Number of functors : 3 ( 3 usr; 3 con; 0-0 aty)
% Number of variables : 33 ( 20 !; 9 ?; 33 :)
% Comments :
%------------------------------------------------------------------------------
tff(isa_type,type,
isa: ( $i * $i ) > $o ).
tff(c_individual_type,type,
c_individual: $i ).
tff(c_wanica_districtsuriname_type,type,
c_wanica_districtsuriname: $i ).
tff(mtvisible_type,type,
mtvisible: $i > $o ).
tff(c_tptp_member3515_mt_type,type,
c_tptp_member3515_mt: $i ).
tff(individual_type,type,
individual: $i > $o ).
tff(1,plain,
^ [X: $i] :
refl(( ( ~ individual(X)
| isa(X,c_individual) )
<=> ( ~ individual(X)
| isa(X,c_individual) ) )),
inference(bind,[status(th)],[]) ).
tff(2,plain,
( ! [X: $i] :
( ~ individual(X)
| isa(X,c_individual) )
<=> ! [X: $i] :
( ~ individual(X)
| isa(X,c_individual) ) ),
inference(quant_intro,[status(thm)],[1]) ).
tff(3,plain,
( ! [X: $i] :
( ~ individual(X)
| isa(X,c_individual) )
<=> ! [X: $i] :
( ~ individual(X)
| isa(X,c_individual) ) ),
inference(rewrite,[status(thm)],[]) ).
tff(4,plain,
^ [X: $i] :
rewrite(( ( individual(X)
=> isa(X,c_individual) )
<=> ( ~ individual(X)
| isa(X,c_individual) ) )),
inference(bind,[status(th)],[]) ).
tff(5,plain,
( ! [X: $i] :
( individual(X)
=> isa(X,c_individual) )
<=> ! [X: $i] :
( ~ individual(X)
| isa(X,c_individual) ) ),
inference(quant_intro,[status(thm)],[4]) ).
tff(6,axiom,
! [X: $i] :
( individual(X)
=> isa(X,c_individual) ),
file('/export/starexec/sandbox/benchmark/Axioms/CSR002+3.ax',ax3_44154) ).
tff(7,plain,
! [X: $i] :
( ~ individual(X)
| isa(X,c_individual) ),
inference(modus_ponens,[status(thm)],[6,5]) ).
tff(8,plain,
! [X: $i] :
( ~ individual(X)
| isa(X,c_individual) ),
inference(modus_ponens,[status(thm)],[7,3]) ).
tff(9,plain,
! [X: $i] :
( ~ individual(X)
| isa(X,c_individual) ),
inference(skolemize,[status(sab)],[8]) ).
tff(10,plain,
! [X: $i] :
( ~ individual(X)
| isa(X,c_individual) ),
inference(modus_ponens,[status(thm)],[9,2]) ).
tff(11,plain,
( individual(c_wanica_districtsuriname)
<=> individual(c_wanica_districtsuriname) ),
inference(rewrite,[status(thm)],[]) ).
tff(12,axiom,
individual(c_wanica_districtsuriname),
file('/export/starexec/sandbox/benchmark/Axioms/CSR002+3.ax',ax3_870) ).
tff(13,plain,
individual(c_wanica_districtsuriname),
inference(modus_ponens,[status(thm)],[12,11]) ).
tff(14,plain,
( ( ~ ! [X: $i] :
( ~ individual(X)
| isa(X,c_individual) )
| ~ individual(c_wanica_districtsuriname)
| isa(c_wanica_districtsuriname,c_individual) )
<=> ( ~ ! [X: $i] :
( ~ individual(X)
| isa(X,c_individual) )
| ~ individual(c_wanica_districtsuriname)
| isa(c_wanica_districtsuriname,c_individual) ) ),
inference(rewrite,[status(thm)],[]) ).
tff(15,plain,
( ~ ! [X: $i] :
( ~ individual(X)
| isa(X,c_individual) )
| ~ individual(c_wanica_districtsuriname)
| isa(c_wanica_districtsuriname,c_individual) ),
inference(quant_inst,[status(thm)],[]) ).
tff(16,plain,
( ~ ! [X: $i] :
( ~ individual(X)
| isa(X,c_individual) )
| ~ individual(c_wanica_districtsuriname)
| isa(c_wanica_districtsuriname,c_individual) ),
inference(modus_ponens,[status(thm)],[15,14]) ).
tff(17,plain,
isa(c_wanica_districtsuriname,c_individual),
inference(unit_resolution,[status(thm)],[16,13,10]) ).
tff(18,plain,
( ~ mtvisible(c_tptp_member3515_mt)
| isa(c_wanica_districtsuriname,c_individual)
| ~ isa(c_wanica_districtsuriname,c_individual) ),
inference(tautology,[status(thm)],[]) ).
tff(19,plain,
( ~ mtvisible(c_tptp_member3515_mt)
| isa(c_wanica_districtsuriname,c_individual) ),
inference(unit_resolution,[status(thm)],[18,17]) ).
tff(20,plain,
^ [COL: $i] :
refl(( ~ ( ~ mtvisible(c_tptp_member3515_mt)
| isa(c_wanica_districtsuriname,COL) )
<=> ~ ( ~ mtvisible(c_tptp_member3515_mt)
| isa(c_wanica_districtsuriname,COL) ) )),
inference(bind,[status(th)],[]) ).
tff(21,plain,
( ! [COL: $i] :
~ ( ~ mtvisible(c_tptp_member3515_mt)
| isa(c_wanica_districtsuriname,COL) )
<=> ! [COL: $i] :
~ ( ~ mtvisible(c_tptp_member3515_mt)
| isa(c_wanica_districtsuriname,COL) ) ),
inference(quant_intro,[status(thm)],[20]) ).
tff(22,plain,
( ~ ? [COL: $i] :
( ~ mtvisible(c_tptp_member3515_mt)
| isa(c_wanica_districtsuriname,COL) )
<=> ~ ? [COL: $i] :
( ~ mtvisible(c_tptp_member3515_mt)
| isa(c_wanica_districtsuriname,COL) ) ),
inference(rewrite,[status(thm)],[]) ).
tff(23,plain,
( ~ ? [COL: $i] :
( mtvisible(c_tptp_member3515_mt)
=> isa(c_wanica_districtsuriname,COL) )
<=> ~ ? [COL: $i] :
( ~ mtvisible(c_tptp_member3515_mt)
| isa(c_wanica_districtsuriname,COL) ) ),
inference(rewrite,[status(thm)],[]) ).
tff(24,axiom,
~ ? [COL: $i] :
( mtvisible(c_tptp_member3515_mt)
=> isa(c_wanica_districtsuriname,COL) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',query184) ).
tff(25,plain,
~ ? [COL: $i] :
( ~ mtvisible(c_tptp_member3515_mt)
| isa(c_wanica_districtsuriname,COL) ),
inference(modus_ponens,[status(thm)],[24,23]) ).
tff(26,plain,
~ ? [COL: $i] :
( ~ mtvisible(c_tptp_member3515_mt)
| isa(c_wanica_districtsuriname,COL) ),
inference(modus_ponens,[status(thm)],[25,22]) ).
tff(27,plain,
~ ? [COL: $i] :
( ~ mtvisible(c_tptp_member3515_mt)
| isa(c_wanica_districtsuriname,COL) ),
inference(modus_ponens,[status(thm)],[26,22]) ).
tff(28,plain,
~ ? [COL: $i] :
( ~ mtvisible(c_tptp_member3515_mt)
| isa(c_wanica_districtsuriname,COL) ),
inference(modus_ponens,[status(thm)],[27,22]) ).
tff(29,plain,
^ [COL: $i] :
refl($oeq(~ ( ~ mtvisible(c_tptp_member3515_mt)
| isa(c_wanica_districtsuriname,COL) ),
~ ( ~ mtvisible(c_tptp_member3515_mt)
| isa(c_wanica_districtsuriname,COL) ))),
inference(bind,[status(th)],[]) ).
tff(30,plain,
! [COL: $i] :
~ ( ~ mtvisible(c_tptp_member3515_mt)
| isa(c_wanica_districtsuriname,COL) ),
inference(nnf-neg,[status(sab)],[28,29]) ).
tff(31,plain,
! [COL: $i] :
~ ( ~ mtvisible(c_tptp_member3515_mt)
| isa(c_wanica_districtsuriname,COL) ),
inference(modus_ponens,[status(thm)],[30,21]) ).
tff(32,plain,
( ~ ! [COL: $i] :
~ ( ~ mtvisible(c_tptp_member3515_mt)
| isa(c_wanica_districtsuriname,COL) )
| ~ ( ~ mtvisible(c_tptp_member3515_mt)
| isa(c_wanica_districtsuriname,c_individual) ) ),
inference(quant_inst,[status(thm)],[]) ).
tff(33,plain,
$false,
inference(unit_resolution,[status(thm)],[32,31,19]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.13 % Problem : CSR034+4 : TPTP v9.0.0. Released v3.4.0.
% 0.03/0.13 % Command : run_E %s %d THM
% 0.13/0.34 % Computer : n015.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % WCLimit : 300
% 0.13/0.34 % DateTime : Thu Jun 19 12:32:25 EDT 2025
% 0.13/0.34 % CPUTime :
% 95.37/95.56 % SZS status Theorem
% 95.37/95.56 % SZS output start Proof
% See solution above
% 96.42/96.62 % E exiting
%------------------------------------------------------------------------------