%------------------------------------------------------------------------------
% File : Z3---4.15.1
% Problem : CSR058+2 : TPTP v9.0.0. Released v3.4.0.
% Transfm : none
% Format : tptp
% Command : run_E %s %d THM
% Computer : n008.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 05:01:37 AM UTC 2025
% Result : Theorem 84.33s 84.48s
% Output : Proof 84.33s
% Verified :
% SZS Type : Refutation
% Derivation depth : 11
% Number of leaves : 12
% Syntax : Number of formulae : 26 ( 5 unt; 0 typ; 0 def)
% Number of atoms : 72 ( 0 equ)
% Maximal formula atoms : 4 ( 2 avg)
% Number of connectives : 95 ( 53 ~; 32 |; 0 &)
% ( 6 <=>; 4 =>; 0 <=; 0 <~>)
% Maximal formula depth : 7 ( 4 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of FOOLs : 4 ( 4 fml; 0 var)
% Number of types : 2 ( 0 usr)
% Number of type conns : 0 ( 0 >; 0 *; 0 +; 0 <<)
% Number of predicates : 5 ( 3 usr; 1 prp; 0-2 aty)
% Number of functors : 7 ( 7 usr; 6 con; 0-3 aty)
% Number of variables : 17 ( 6 !; 9 ?; 17 :)
% Comments :
%------------------------------------------------------------------------------
tff(prettystring_type,type,
prettystring: ( $i * $i ) > $o ).
tff(s_terroristthathasbeenamemberofaterroristorganization_type,type,
s_terroristthathasbeenamemberofaterroristorganization: $i ).
tff(f_subcollectionofwithrelationfromtypefn_type,type,
f_subcollectionofwithrelationfromtypefn: ( $i * $i * $i ) > $i ).
tff(c_terroristgroup_type,type,
c_terroristgroup: $i ).
tff(c_hasmembers_type,type,
c_hasmembers: $i ).
tff(c_terrorist_type,type,
c_terrorist: $i ).
tff(mtvisible_type,type,
mtvisible: $i > $o ).
tff(c_englishmt_type,type,
c_englishmt: $i ).
tff(c_relationexistsallfn_type,type,
c_relationexistsallfn: $i ).
tff(1,plain,
^ [X: $i] :
refl(( ~ ( ~ mtvisible(c_englishmt)
| prettystring(f_subcollectionofwithrelationfromtypefn(c_terrorist,c_hasmembers,c_terroristgroup),X) )
<=> ~ ( ~ mtvisible(c_englishmt)
| prettystring(f_subcollectionofwithrelationfromtypefn(c_terrorist,c_hasmembers,c_terroristgroup),X) ) )),
inference(bind,[status(th)],[]) ).
tff(2,plain,
( ! [X: $i] :
~ ( ~ mtvisible(c_englishmt)
| prettystring(f_subcollectionofwithrelationfromtypefn(c_terrorist,c_hasmembers,c_terroristgroup),X) )
<=> ! [X: $i] :
~ ( ~ mtvisible(c_englishmt)
| prettystring(f_subcollectionofwithrelationfromtypefn(c_terrorist,c_hasmembers,c_terroristgroup),X) ) ),
inference(quant_intro,[status(thm)],[1]) ).
tff(3,plain,
( ~ ? [X: $i] :
( ~ mtvisible(c_englishmt)
| prettystring(f_subcollectionofwithrelationfromtypefn(c_terrorist,c_hasmembers,c_terroristgroup),X) )
<=> ~ ? [X: $i] :
( ~ mtvisible(c_englishmt)
| prettystring(f_subcollectionofwithrelationfromtypefn(c_terrorist,c_hasmembers,c_terroristgroup),X) ) ),
inference(rewrite,[status(thm)],[]) ).
tff(4,plain,
( ~ ? [X: $i] :
( mtvisible(c_englishmt)
=> prettystring(f_subcollectionofwithrelationfromtypefn(c_terrorist,c_hasmembers,c_terroristgroup),X) )
<=> ~ ? [X: $i] :
( ~ mtvisible(c_englishmt)
| prettystring(f_subcollectionofwithrelationfromtypefn(c_terrorist,c_hasmembers,c_terroristgroup),X) ) ),
inference(rewrite,[status(thm)],[]) ).
tff(5,axiom,
~ ? [X: $i] :
( mtvisible(c_englishmt)
=> prettystring(f_subcollectionofwithrelationfromtypefn(c_terrorist,c_hasmembers,c_terroristgroup),X) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',query108) ).
tff(6,plain,
~ ? [X: $i] :
( ~ mtvisible(c_englishmt)
| prettystring(f_subcollectionofwithrelationfromtypefn(c_terrorist,c_hasmembers,c_terroristgroup),X) ),
inference(modus_ponens,[status(thm)],[5,4]) ).
tff(7,plain,
~ ? [X: $i] :
( ~ mtvisible(c_englishmt)
| prettystring(f_subcollectionofwithrelationfromtypefn(c_terrorist,c_hasmembers,c_terroristgroup),X) ),
inference(modus_ponens,[status(thm)],[6,3]) ).
tff(8,plain,
~ ? [X: $i] :
( ~ mtvisible(c_englishmt)
| prettystring(f_subcollectionofwithrelationfromtypefn(c_terrorist,c_hasmembers,c_terroristgroup),X) ),
inference(modus_ponens,[status(thm)],[7,3]) ).
tff(9,plain,
~ ? [X: $i] :
( ~ mtvisible(c_englishmt)
| prettystring(f_subcollectionofwithrelationfromtypefn(c_terrorist,c_hasmembers,c_terroristgroup),X) ),
inference(modus_ponens,[status(thm)],[8,3]) ).
tff(10,plain,
^ [X: $i] :
refl($oeq(~ ( ~ mtvisible(c_englishmt)
| prettystring(f_subcollectionofwithrelationfromtypefn(c_terrorist,c_hasmembers,c_terroristgroup),X) ),
~ ( ~ mtvisible(c_englishmt)
| prettystring(f_subcollectionofwithrelationfromtypefn(c_terrorist,c_hasmembers,c_terroristgroup),X) ))),
inference(bind,[status(th)],[]) ).
tff(11,plain,
! [X: $i] :
~ ( ~ mtvisible(c_englishmt)
| prettystring(f_subcollectionofwithrelationfromtypefn(c_terrorist,c_hasmembers,c_terroristgroup),X) ),
inference(nnf-neg,[status(sab)],[9,10]) ).
tff(12,plain,
! [X: $i] :
~ ( ~ mtvisible(c_englishmt)
| prettystring(f_subcollectionofwithrelationfromtypefn(c_terrorist,c_hasmembers,c_terroristgroup),X) ),
inference(modus_ponens,[status(thm)],[11,2]) ).
tff(13,plain,
( ~ ! [X: $i] :
~ ( ~ mtvisible(c_englishmt)
| prettystring(f_subcollectionofwithrelationfromtypefn(c_terrorist,c_hasmembers,c_terroristgroup),X) )
| ~ ( ~ mtvisible(c_englishmt)
| prettystring(f_subcollectionofwithrelationfromtypefn(c_terrorist,c_hasmembers,c_terroristgroup),c_relationexistsallfn) ) ),
inference(quant_inst,[status(thm)],[]) ).
tff(14,plain,
~ ( ~ mtvisible(c_englishmt)
| prettystring(f_subcollectionofwithrelationfromtypefn(c_terrorist,c_hasmembers,c_terroristgroup),c_relationexistsallfn) ),
inference(unit_resolution,[status(thm)],[13,12]) ).
tff(15,plain,
( ~ mtvisible(c_englishmt)
| prettystring(f_subcollectionofwithrelationfromtypefn(c_terrorist,c_hasmembers,c_terroristgroup),c_relationexistsallfn)
| mtvisible(c_englishmt) ),
inference(tautology,[status(thm)],[]) ).
tff(16,plain,
mtvisible(c_englishmt),
inference(unit_resolution,[status(thm)],[15,14]) ).
tff(17,plain,
( ( ~ mtvisible(c_englishmt)
| prettystring(f_subcollectionofwithrelationfromtypefn(c_terrorist,c_hasmembers,c_terroristgroup),s_terroristthathasbeenamemberofaterroristorganization) )
<=> ( ~ mtvisible(c_englishmt)
| prettystring(f_subcollectionofwithrelationfromtypefn(c_terrorist,c_hasmembers,c_terroristgroup),s_terroristthathasbeenamemberofaterroristorganization) ) ),
inference(rewrite,[status(thm)],[]) ).
tff(18,plain,
( ( mtvisible(c_englishmt)
=> prettystring(f_subcollectionofwithrelationfromtypefn(c_terrorist,c_hasmembers,c_terroristgroup),s_terroristthathasbeenamemberofaterroristorganization) )
<=> ( ~ mtvisible(c_englishmt)
| prettystring(f_subcollectionofwithrelationfromtypefn(c_terrorist,c_hasmembers,c_terroristgroup),s_terroristthathasbeenamemberofaterroristorganization) ) ),
inference(rewrite,[status(thm)],[]) ).
tff(19,axiom,
( mtvisible(c_englishmt)
=> prettystring(f_subcollectionofwithrelationfromtypefn(c_terrorist,c_hasmembers,c_terroristgroup),s_terroristthathasbeenamemberofaterroristorganization) ),
file('/export/starexec/sandbox/benchmark/Axioms/CSR002+1.ax',ax1_126) ).
tff(20,plain,
( ~ mtvisible(c_englishmt)
| prettystring(f_subcollectionofwithrelationfromtypefn(c_terrorist,c_hasmembers,c_terroristgroup),s_terroristthathasbeenamemberofaterroristorganization) ),
inference(modus_ponens,[status(thm)],[19,18]) ).
tff(21,plain,
( ~ mtvisible(c_englishmt)
| prettystring(f_subcollectionofwithrelationfromtypefn(c_terrorist,c_hasmembers,c_terroristgroup),s_terroristthathasbeenamemberofaterroristorganization) ),
inference(modus_ponens,[status(thm)],[20,17]) ).
tff(22,plain,
prettystring(f_subcollectionofwithrelationfromtypefn(c_terrorist,c_hasmembers,c_terroristgroup),s_terroristthathasbeenamemberofaterroristorganization),
inference(unit_resolution,[status(thm)],[21,16]) ).
tff(23,plain,
( ~ mtvisible(c_englishmt)
| prettystring(f_subcollectionofwithrelationfromtypefn(c_terrorist,c_hasmembers,c_terroristgroup),s_terroristthathasbeenamemberofaterroristorganization)
| ~ prettystring(f_subcollectionofwithrelationfromtypefn(c_terrorist,c_hasmembers,c_terroristgroup),s_terroristthathasbeenamemberofaterroristorganization) ),
inference(tautology,[status(thm)],[]) ).
tff(24,plain,
( ~ mtvisible(c_englishmt)
| prettystring(f_subcollectionofwithrelationfromtypefn(c_terrorist,c_hasmembers,c_terroristgroup),s_terroristthathasbeenamemberofaterroristorganization) ),
inference(unit_resolution,[status(thm)],[23,22]) ).
tff(25,plain,
( ~ ! [X: $i] :
~ ( ~ mtvisible(c_englishmt)
| prettystring(f_subcollectionofwithrelationfromtypefn(c_terrorist,c_hasmembers,c_terroristgroup),X) )
| ~ ( ~ mtvisible(c_englishmt)
| prettystring(f_subcollectionofwithrelationfromtypefn(c_terrorist,c_hasmembers,c_terroristgroup),s_terroristthathasbeenamemberofaterroristorganization) ) ),
inference(quant_inst,[status(thm)],[]) ).
tff(26,plain,
$false,
inference(unit_resolution,[status(thm)],[25,12,24]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.12/0.12 % Problem : CSR058+2 : TPTP v9.0.0. Released v3.4.0.
% 0.12/0.12 % Command : run_E %s %d THM
% 0.12/0.33 % Computer : n008.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 12:45:03 EDT 2025
% 0.12/0.34 % CPUTime :
% 84.33/84.48 % SZS status Theorem
% 84.33/84.48 % SZS output start Proof
% See solution above
% 84.33/84.55 % E exiting
%------------------------------------------------------------------------------