TSTP Solution File: CSR042+2 by Z3---4.8.9.0
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- Process Solution
%------------------------------------------------------------------------------
% File : Z3---4.8.9.0
% Problem : CSR042+2 : TPTP v8.1.0. Released v3.4.0.
% Transfm : none
% Format : tptp
% Command : z3_tptp -proof -model -t:%d -file:%s
% Computer : n011.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 : Tue Sep 20 14:27:27 EDT 2022
% Result : Timeout 296.73s 192.16s
% Output : None
% Verified :
% SZS Type : Refutation
% Derivation depth : 15
% Number of leaves : 24
% Syntax : Number of formulae : 49 ( 8 unt; 6 typ; 0 def)
% Number of atoms : 127 ( 0 equ)
% Maximal formula atoms : 8 ( 2 avg)
% Number of connectives : 161 ( 83 ~; 59 |; 0 &)
% ( 12 <=>; 7 =>; 0 <=; 0 <~>)
% Maximal formula depth : 8 ( 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 : 3 ( 2 >; 1 *; 0 +; 0 <<)
% Number of predicates : 6 ( 4 usr; 1 prp; 0-2 aty)
% Number of functors : 4 ( 4 usr; 4 con; 0-0 aty)
% Number of variables : 54 ( 36 !; 12 ?; 54 :)
% Comments :
%------------------------------------------------------------------------------
tff(borderson_type,type,
borderson: ( $i * $i ) > $o ).
tff(c_georegion_l4_x27_y64_type,type,
c_georegion_l4_x27_y64: $i ).
tff(c_georegion_l4_x27_y65_type,type,
c_georegion_l4_x27_y65: $i ).
tff(mtvisible_type,type,
mtvisible: $i > $o ).
tff(c_tptpgeo_member7_mt_type,type,
c_tptpgeo_member7_mt: $i ).
tff(c_calendarsvocabularymt_type,type,
c_calendarsvocabularymt: $i ).
tff(1,plain,
^ [X: $i,Y: $i] :
refl(
( ( ~ borderson(X,Y)
| borderson(Y,X) )
<=> ( ~ borderson(X,Y)
| borderson(Y,X) ) )),
inference(bind,[status(th)],]) ).
tff(2,plain,
( ! [X: $i,Y: $i] :
( ~ borderson(X,Y)
| borderson(Y,X) )
<=> ! [X: $i,Y: $i] :
( ~ borderson(X,Y)
| borderson(Y,X) ) ),
inference(quant_intro,[status(thm)],[1]) ).
tff(3,plain,
( ! [X: $i,Y: $i] :
( ~ borderson(X,Y)
| borderson(Y,X) )
<=> ! [X: $i,Y: $i] :
( ~ borderson(X,Y)
| borderson(Y,X) ) ),
inference(rewrite,[status(thm)],]) ).
tff(4,plain,
^ [X: $i,Y: $i] :
rewrite(
( ( borderson(X,Y)
=> borderson(Y,X) )
<=> ( ~ borderson(X,Y)
| borderson(Y,X) ) )),
inference(bind,[status(th)],]) ).
tff(5,plain,
( ! [X: $i,Y: $i] :
( borderson(X,Y)
=> borderson(Y,X) )
<=> ! [X: $i,Y: $i] :
( ~ borderson(X,Y)
| borderson(Y,X) ) ),
inference(quant_intro,[status(thm)],[4]) ).
tff(6,axiom,
! [X: $i,Y: $i] :
( borderson(X,Y)
=> borderson(Y,X) ),
file('/export/starexec/sandbox2/benchmark/Axioms/CSR002+1.ax',ax1_900) ).
tff(7,plain,
! [X: $i,Y: $i] :
( ~ borderson(X,Y)
| borderson(Y,X) ),
inference(modus_ponens,[status(thm)],[6,5]) ).
tff(8,plain,
! [X: $i,Y: $i] :
( ~ borderson(X,Y)
| borderson(Y,X) ),
inference(modus_ponens,[status(thm)],[7,3]) ).
tff(9,plain,
! [X: $i,Y: $i] :
( ~ borderson(X,Y)
| borderson(Y,X) ),
inference(skolemize,[status(sab)],[8]) ).
tff(10,plain,
! [X: $i,Y: $i] :
( ~ borderson(X,Y)
| borderson(Y,X) ),
inference(modus_ponens,[status(thm)],[9,2]) ).
tff(11,plain,
^ [ARG1: $i] :
refl(
( ~ ( ~ mtvisible(c_tptpgeo_member7_mt)
| borderson(ARG1,c_georegion_l4_x27_y64) )
<=> ~ ( ~ mtvisible(c_tptpgeo_member7_mt)
| borderson(ARG1,c_georegion_l4_x27_y64) ) )),
inference(bind,[status(th)],]) ).
tff(12,plain,
( ! [ARG1: $i] :
~ ( ~ mtvisible(c_tptpgeo_member7_mt)
| borderson(ARG1,c_georegion_l4_x27_y64) )
<=> ! [ARG1: $i] :
~ ( ~ mtvisible(c_tptpgeo_member7_mt)
| borderson(ARG1,c_georegion_l4_x27_y64) ) ),
inference(quant_intro,[status(thm)],[11]) ).
tff(13,plain,
( ~ ? [ARG1: $i] :
( ~ mtvisible(c_tptpgeo_member7_mt)
| borderson(ARG1,c_georegion_l4_x27_y64) )
<=> ~ ? [ARG1: $i] :
( ~ mtvisible(c_tptpgeo_member7_mt)
| borderson(ARG1,c_georegion_l4_x27_y64) ) ),
inference(rewrite,[status(thm)],]) ).
tff(14,plain,
( ~ ? [ARG1: $i] :
( mtvisible(c_tptpgeo_member7_mt)
=> borderson(ARG1,c_georegion_l4_x27_y64) )
<=> ~ ? [ARG1: $i] :
( ~ mtvisible(c_tptpgeo_member7_mt)
| borderson(ARG1,c_georegion_l4_x27_y64) ) ),
inference(rewrite,[status(thm)],]) ).
tff(15,axiom,
~ ? [ARG1: $i] :
( mtvisible(c_tptpgeo_member7_mt)
=> borderson(ARG1,c_georegion_l4_x27_y64) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',query92) ).
tff(16,plain,
~ ? [ARG1: $i] :
( ~ mtvisible(c_tptpgeo_member7_mt)
| borderson(ARG1,c_georegion_l4_x27_y64) ),
inference(modus_ponens,[status(thm)],[15,14]) ).
tff(17,plain,
~ ? [ARG1: $i] :
( ~ mtvisible(c_tptpgeo_member7_mt)
| borderson(ARG1,c_georegion_l4_x27_y64) ),
inference(modus_ponens,[status(thm)],[16,13]) ).
tff(18,plain,
~ ? [ARG1: $i] :
( ~ mtvisible(c_tptpgeo_member7_mt)
| borderson(ARG1,c_georegion_l4_x27_y64) ),
inference(modus_ponens,[status(thm)],[17,13]) ).
tff(19,plain,
~ ? [ARG1: $i] :
( ~ mtvisible(c_tptpgeo_member7_mt)
| borderson(ARG1,c_georegion_l4_x27_y64) ),
inference(modus_ponens,[status(thm)],[18,13]) ).
tff(20,plain,
~ ? [ARG1: $i] :
( ~ mtvisible(c_tptpgeo_member7_mt)
| borderson(ARG1,c_georegion_l4_x27_y64) ),
inference(modus_ponens,[status(thm)],[19,13]) ).
tff(21,plain,
~ ? [ARG1: $i] :
( ~ mtvisible(c_tptpgeo_member7_mt)
| borderson(ARG1,c_georegion_l4_x27_y64) ),
inference(modus_ponens,[status(thm)],[20,13]) ).
tff(22,plain,
~ ? [ARG1: $i] :
( ~ mtvisible(c_tptpgeo_member7_mt)
| borderson(ARG1,c_georegion_l4_x27_y64) ),
inference(modus_ponens,[status(thm)],[21,13]) ).
tff(23,plain,
^ [ARG1: $i] :
refl(
$oeq(
~ ( ~ mtvisible(c_tptpgeo_member7_mt)
| borderson(ARG1,c_georegion_l4_x27_y64) ),
~ ( ~ mtvisible(c_tptpgeo_member7_mt)
| borderson(ARG1,c_georegion_l4_x27_y64) ))),
inference(bind,[status(th)],]) ).
tff(24,plain,
! [ARG1: $i] :
~ ( ~ mtvisible(c_tptpgeo_member7_mt)
| borderson(ARG1,c_georegion_l4_x27_y64) ),
inference(nnf-neg,[status(sab)],[22,23]) ).
tff(25,plain,
! [ARG1: $i] :
~ ( ~ mtvisible(c_tptpgeo_member7_mt)
| borderson(ARG1,c_georegion_l4_x27_y64) ),
inference(modus_ponens,[status(thm)],[24,12]) ).
tff(26,plain,
( ~ ! [ARG1: $i] :
~ ( ~ mtvisible(c_tptpgeo_member7_mt)
| borderson(ARG1,c_georegion_l4_x27_y64) )
| ~ ( ~ mtvisible(c_tptpgeo_member7_mt)
| borderson(c_calendarsvocabularymt,c_georegion_l4_x27_y64) ) ),
inference(quant_inst,[status(thm)],]) ).
tff(27,plain,
~ ( ~ mtvisible(c_tptpgeo_member7_mt)
| borderson(c_calendarsvocabularymt,c_georegion_l4_x27_y64) ),
inference(unit_resolution,[status(thm)],[26,25]) ).
tff(28,plain,
( ~ mtvisible(c_tptpgeo_member7_mt)
| borderson(c_calendarsvocabularymt,c_georegion_l4_x27_y64)
| mtvisible(c_tptpgeo_member7_mt) ),
inference(tautology,[status(thm)],]) ).
tff(29,plain,
mtvisible(c_tptpgeo_member7_mt),
inference(unit_resolution,[status(thm)],[28,27]) ).
tff(30,plain,
( ( ~ mtvisible(c_tptpgeo_member7_mt)
| borderson(c_georegion_l4_x27_y64,c_georegion_l4_x27_y65) )
<=> ( ~ mtvisible(c_tptpgeo_member7_mt)
| borderson(c_georegion_l4_x27_y64,c_georegion_l4_x27_y65) ) ),
inference(rewrite,[status(thm)],]) ).
tff(31,plain,
( ( mtvisible(c_tptpgeo_member7_mt)
=> borderson(c_georegion_l4_x27_y64,c_georegion_l4_x27_y65) )
<=> ( ~ mtvisible(c_tptpgeo_member7_mt)
| borderson(c_georegion_l4_x27_y64,c_georegion_l4_x27_y65) ) ),
inference(rewrite,[status(thm)],]) ).
tff(32,axiom,
( mtvisible(c_tptpgeo_member7_mt)
=> borderson(c_georegion_l4_x27_y64,c_georegion_l4_x27_y65) ),
file('/export/starexec/sandbox2/benchmark/Axioms/CSR002+1.ax',ax1_122) ).
tff(33,plain,
( ~ mtvisible(c_tptpgeo_member7_mt)
| borderson(c_georegion_l4_x27_y64,c_georegion_l4_x27_y65) ),
inference(modus_ponens,[status(thm)],[32,31]) ).
tff(34,plain,
( ~ mtvisible(c_tptpgeo_member7_mt)
| borderson(c_georegion_l4_x27_y64,c_georegion_l4_x27_y65) ),
inference(modus_ponens,[status(thm)],[33,30]) ).
tff(35,plain,
borderson(c_georegion_l4_x27_y64,c_georegion_l4_x27_y65),
inference(unit_resolution,[status(thm)],[34,29]) ).
tff(36,plain,
( ( ~ ! [X: $i,Y: $i] :
( ~ borderson(X,Y)
| borderson(Y,X) )
| ~ borderson(c_georegion_l4_x27_y64,c_georegion_l4_x27_y65)
| borderson(c_georegion_l4_x27_y65,c_georegion_l4_x27_y64) )
<=> ( ~ ! [X: $i,Y: $i] :
( ~ borderson(X,Y)
| borderson(Y,X) )
| ~ borderson(c_georegion_l4_x27_y64,c_georegion_l4_x27_y65)
| borderson(c_georegion_l4_x27_y65,c_georegion_l4_x27_y64) ) ),
inference(rewrite,[status(thm)],]) ).
tff(37,plain,
( ~ ! [X: $i,Y: $i] :
( ~ borderson(X,Y)
| borderson(Y,X) )
| ~ borderson(c_georegion_l4_x27_y64,c_georegion_l4_x27_y65)
| borderson(c_georegion_l4_x27_y65,c_georegion_l4_x27_y64) ),
inference(quant_inst,[status(thm)],]) ).
tff(38,plain,
( ~ ! [X: $i,Y: $i] :
( ~ borderson(X,Y)
| borderson(Y,X) )
| ~ borderson(c_georegion_l4_x27_y64,c_georegion_l4_x27_y65)
| borderson(c_georegion_l4_x27_y65,c_georegion_l4_x27_y64) ),
inference(modus_ponens,[status(thm)],[37,36]) ).
tff(39,plain,
borderson(c_georegion_l4_x27_y65,c_georegion_l4_x27_y64),
inference(unit_resolution,[status(thm)],[38,35,10]) ).
tff(40,plain,
( ~ mtvisible(c_tptpgeo_member7_mt)
| borderson(c_georegion_l4_x27_y65,c_georegion_l4_x27_y64)
| ~ borderson(c_georegion_l4_x27_y65,c_georegion_l4_x27_y64) ),
inference(tautology,[status(thm)],]) ).
tff(41,plain,
( ~ mtvisible(c_tptpgeo_member7_mt)
| borderson(c_georegion_l4_x27_y65,c_georegion_l4_x27_y64) ),
inference(unit_resolution,[status(thm)],[40,39]) ).
tff(42,plain,
( ~ ! [ARG1: $i] :
~ ( ~ mtvisible(c_tptpgeo_member7_mt)
| borderson(ARG1,c_georegion_l4_x27_y64) )
| ~ ( ~ mtvisible(c_tptpgeo_member7_mt)
| borderson(c_georegion_l4_x27_y65,c_georegion_l4_x27_y64) ) ),
inference(quant_inst,[status(thm)],]) ).
tff(43,plain,
$false,
inference(unit_resolution,[status(thm)],[42,25,41]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.12/0.13 % Problem : CSR042+2 : TPTP v8.1.0. Released v3.4.0.
% 0.12/0.14 % Command : z3_tptp -proof -model -t:%d -file:%s
% 0.14/0.35 % Computer : n011.cluster.edu
% 0.14/0.35 % Model : x86_64 x86_64
% 0.14/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.35 % Memory : 8042.1875MB
% 0.14/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.35 % CPULimit : 300
% 0.14/0.35 % WCLimit : 300
% 0.14/0.35 % DateTime : Tue Aug 30 17:56:10 EDT 2022
% 0.14/0.35 % CPUTime :
% 0.14/0.36 Z3tptp [4.8.9.0] (c) 2006-20**. Microsoft Corp.
% 0.14/0.36 Usage: tptp [options] [-file:]file
% 0.14/0.36 -h, -? prints this message.
% 0.14/0.36 -smt2 print SMT-LIB2 benchmark.
% 0.14/0.36 -m, -model generate model.
% 0.14/0.36 -p, -proof generate proof.
% 0.14/0.36 -c, -core generate unsat core of named formulas.
% 0.14/0.36 -st, -statistics display statistics.
% 0.14/0.36 -t:timeout set timeout (in second).
% 0.14/0.36 -smt2status display status in smt2 format instead of SZS.
% 0.14/0.36 -check_status check the status produced by Z3 against annotation in benchmark.
% 0.14/0.36 -<param>:<value> configuration parameter and value.
% 0.14/0.36 -o:<output-file> file to place output in.
% 296.73/192.16 % SZS status Theorem
% 296.73/192.16 % SZS output start Proof
% See solution above
%------------------------------------------------------------------------------