TSTP Solution File: CSR047+2 by Z3---4.8.9.0
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%------------------------------------------------------------------------------
% File : Z3---4.8.9.0
% Problem : CSR047+2 : TPTP v8.1.0. Released v3.4.0.
% Transfm : none
% Format : tptp
% Command : z3_tptp -proof -model -t:%d -file:%s
% Computer : n018.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 14:27:33 EDT 2022
% Result : Theorem 0.19s 0.56s
% Output : Proof 0.19s
% Verified :
% SZS Type : Refutation
% Derivation depth : 10
% Number of leaves : 19
% Syntax : Number of formulae : 39 ( 8 unt; 5 typ; 0 def)
% Number of atoms : 92 ( 0 equ)
% Maximal formula atoms : 8 ( 2 avg)
% Number of connectives : 98 ( 42 ~; 32 |; 0 &)
% ( 17 <=>; 7 =>; 0 <=; 0 <~>)
% Maximal formula depth : 8 ( 4 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of FOOLs : 2 ( 2 fml; 0 var)
% Number of types : 2 ( 0 usr)
% Number of type conns : 3 ( 2 >; 1 *; 0 +; 0 <<)
% Number of predicates : 6 ( 4 usr; 2 prp; 0-2 aty)
% Number of functors : 3 ( 3 usr; 3 con; 0-0 aty)
% Number of variables : 34 ( 30 !; 0 ?; 34 :)
% Comments :
%------------------------------------------------------------------------------
tff(borderson_type,type,
borderson: ( $i * $i ) > $o ).
tff(c_georegion_l4_x36_y50_type,type,
c_georegion_l4_x36_y50: $i ).
tff(c_georegion_l4_x37_y50_type,type,
c_georegion_l4_x37_y50: $i ).
tff(mtvisible_type,type,
mtvisible: $i > $o ).
tff(c_tptpgeo_member4_mt_type,type,
c_tptpgeo_member4_mt: $i ).
tff(1,plain,
( ~ borderson(c_georegion_l4_x37_y50,c_georegion_l4_x36_y50)
<=> ~ borderson(c_georegion_l4_x37_y50,c_georegion_l4_x36_y50) ),
inference(rewrite,[status(thm)],]) ).
tff(2,plain,
( ~ ( mtvisible(c_tptpgeo_member4_mt)
=> borderson(c_georegion_l4_x37_y50,c_georegion_l4_x36_y50) )
<=> ~ ( ~ mtvisible(c_tptpgeo_member4_mt)
| borderson(c_georegion_l4_x37_y50,c_georegion_l4_x36_y50) ) ),
inference(rewrite,[status(thm)],]) ).
tff(3,axiom,
~ ( mtvisible(c_tptpgeo_member4_mt)
=> borderson(c_georegion_l4_x37_y50,c_georegion_l4_x36_y50) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',query97) ).
tff(4,plain,
~ ( ~ mtvisible(c_tptpgeo_member4_mt)
| borderson(c_georegion_l4_x37_y50,c_georegion_l4_x36_y50) ),
inference(modus_ponens,[status(thm)],[3,2]) ).
tff(5,plain,
~ borderson(c_georegion_l4_x37_y50,c_georegion_l4_x36_y50),
inference(or_elim,[status(thm)],[4]) ).
tff(6,plain,
~ borderson(c_georegion_l4_x37_y50,c_georegion_l4_x36_y50),
inference(modus_ponens,[status(thm)],[5,1]) ).
tff(7,plain,
^ [X: $i,Y: $i] :
refl(
( ( ~ borderson(X,Y)
| borderson(Y,X) )
<=> ( ~ borderson(X,Y)
| borderson(Y,X) ) )),
inference(bind,[status(th)],]) ).
tff(8,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)],[7]) ).
tff(9,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(10,plain,
^ [X: $i,Y: $i] :
rewrite(
( ( borderson(X,Y)
=> borderson(Y,X) )
<=> ( ~ borderson(X,Y)
| borderson(Y,X) ) )),
inference(bind,[status(th)],]) ).
tff(11,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)],[10]) ).
tff(12,axiom,
! [X: $i,Y: $i] :
( borderson(X,Y)
=> borderson(Y,X) ),
file('/export/starexec/sandbox/benchmark/Axioms/CSR002+1.ax',ax1_900) ).
tff(13,plain,
! [X: $i,Y: $i] :
( ~ borderson(X,Y)
| borderson(Y,X) ),
inference(modus_ponens,[status(thm)],[12,11]) ).
tff(14,plain,
! [X: $i,Y: $i] :
( ~ borderson(X,Y)
| borderson(Y,X) ),
inference(modus_ponens,[status(thm)],[13,9]) ).
tff(15,plain,
! [X: $i,Y: $i] :
( ~ borderson(X,Y)
| borderson(Y,X) ),
inference(skolemize,[status(sab)],[14]) ).
tff(16,plain,
! [X: $i,Y: $i] :
( ~ borderson(X,Y)
| borderson(Y,X) ),
inference(modus_ponens,[status(thm)],[15,8]) ).
tff(17,plain,
( borderson(c_georegion_l4_x36_y50,c_georegion_l4_x37_y50)
<=> borderson(c_georegion_l4_x36_y50,c_georegion_l4_x37_y50) ),
inference(rewrite,[status(thm)],]) ).
tff(18,plain,
( ( $false
| borderson(c_georegion_l4_x36_y50,c_georegion_l4_x37_y50) )
<=> borderson(c_georegion_l4_x36_y50,c_georegion_l4_x37_y50) ),
inference(rewrite,[status(thm)],]) ).
tff(19,plain,
( ~ $true
<=> $false ),
inference(rewrite,[status(thm)],]) ).
tff(20,plain,
mtvisible(c_tptpgeo_member4_mt),
inference(or_elim,[status(thm)],[4]) ).
tff(21,plain,
( mtvisible(c_tptpgeo_member4_mt)
<=> $true ),
inference(iff_true,[status(thm)],[20]) ).
tff(22,plain,
( ~ mtvisible(c_tptpgeo_member4_mt)
<=> ~ $true ),
inference(monotonicity,[status(thm)],[21]) ).
tff(23,plain,
( ~ mtvisible(c_tptpgeo_member4_mt)
<=> $false ),
inference(transitivity,[status(thm)],[22,19]) ).
tff(24,plain,
( ( ~ mtvisible(c_tptpgeo_member4_mt)
| borderson(c_georegion_l4_x36_y50,c_georegion_l4_x37_y50) )
<=> ( $false
| borderson(c_georegion_l4_x36_y50,c_georegion_l4_x37_y50) ) ),
inference(monotonicity,[status(thm)],[23]) ).
tff(25,plain,
( ( ~ mtvisible(c_tptpgeo_member4_mt)
| borderson(c_georegion_l4_x36_y50,c_georegion_l4_x37_y50) )
<=> borderson(c_georegion_l4_x36_y50,c_georegion_l4_x37_y50) ),
inference(transitivity,[status(thm)],[24,18]) ).
tff(26,plain,
( ( mtvisible(c_tptpgeo_member4_mt)
=> borderson(c_georegion_l4_x36_y50,c_georegion_l4_x37_y50) )
<=> ( ~ mtvisible(c_tptpgeo_member4_mt)
| borderson(c_georegion_l4_x36_y50,c_georegion_l4_x37_y50) ) ),
inference(rewrite,[status(thm)],]) ).
tff(27,axiom,
( mtvisible(c_tptpgeo_member4_mt)
=> borderson(c_georegion_l4_x36_y50,c_georegion_l4_x37_y50) ),
file('/export/starexec/sandbox/benchmark/Axioms/CSR002+1.ax',ax1_383) ).
tff(28,plain,
( ~ mtvisible(c_tptpgeo_member4_mt)
| borderson(c_georegion_l4_x36_y50,c_georegion_l4_x37_y50) ),
inference(modus_ponens,[status(thm)],[27,26]) ).
tff(29,plain,
borderson(c_georegion_l4_x36_y50,c_georegion_l4_x37_y50),
inference(modus_ponens,[status(thm)],[28,25]) ).
tff(30,plain,
borderson(c_georegion_l4_x36_y50,c_georegion_l4_x37_y50),
inference(modus_ponens,[status(thm)],[29,17]) ).
tff(31,plain,
( ( ~ ! [X: $i,Y: $i] :
( ~ borderson(X,Y)
| borderson(Y,X) )
| ~ borderson(c_georegion_l4_x36_y50,c_georegion_l4_x37_y50)
| borderson(c_georegion_l4_x37_y50,c_georegion_l4_x36_y50) )
<=> ( ~ ! [X: $i,Y: $i] :
( ~ borderson(X,Y)
| borderson(Y,X) )
| ~ borderson(c_georegion_l4_x36_y50,c_georegion_l4_x37_y50)
| borderson(c_georegion_l4_x37_y50,c_georegion_l4_x36_y50) ) ),
inference(rewrite,[status(thm)],]) ).
tff(32,plain,
( ~ ! [X: $i,Y: $i] :
( ~ borderson(X,Y)
| borderson(Y,X) )
| ~ borderson(c_georegion_l4_x36_y50,c_georegion_l4_x37_y50)
| borderson(c_georegion_l4_x37_y50,c_georegion_l4_x36_y50) ),
inference(quant_inst,[status(thm)],]) ).
tff(33,plain,
( ~ ! [X: $i,Y: $i] :
( ~ borderson(X,Y)
| borderson(Y,X) )
| ~ borderson(c_georegion_l4_x36_y50,c_georegion_l4_x37_y50)
| borderson(c_georegion_l4_x37_y50,c_georegion_l4_x36_y50) ),
inference(modus_ponens,[status(thm)],[32,31]) ).
tff(34,plain,
$false,
inference(unit_resolution,[status(thm)],[33,30,16,6]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.12 % Problem : CSR047+2 : TPTP v8.1.0. Released v3.4.0.
% 0.06/0.13 % Command : z3_tptp -proof -model -t:%d -file:%s
% 0.12/0.34 % Computer : n018.cluster.edu
% 0.12/0.34 % Model : x86_64 x86_64
% 0.12/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.34 % Memory : 8042.1875MB
% 0.12/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.34 % CPULimit : 300
% 0.12/0.34 % WCLimit : 300
% 0.12/0.34 % DateTime : Tue Aug 30 18:34:10 EDT 2022
% 0.12/0.34 % CPUTime :
% 0.12/0.34 Z3tptp [4.8.9.0] (c) 2006-20**. Microsoft Corp.
% 0.12/0.34 Usage: tptp [options] [-file:]file
% 0.12/0.34 -h, -? prints this message.
% 0.12/0.34 -smt2 print SMT-LIB2 benchmark.
% 0.12/0.34 -m, -model generate model.
% 0.12/0.34 -p, -proof generate proof.
% 0.12/0.34 -c, -core generate unsat core of named formulas.
% 0.12/0.34 -st, -statistics display statistics.
% 0.12/0.34 -t:timeout set timeout (in second).
% 0.12/0.34 -smt2status display status in smt2 format instead of SZS.
% 0.12/0.34 -check_status check the status produced by Z3 against annotation in benchmark.
% 0.12/0.34 -<param>:<value> configuration parameter and value.
% 0.12/0.34 -o:<output-file> file to place output in.
% 0.19/0.56 % SZS status Theorem
% 0.19/0.56 % SZS output start Proof
% See solution above
%------------------------------------------------------------------------------