%------------------------------------------------------------------------------
% File : Z3---4.15.1
% Problem : CSR048+2 : TPTP v9.0.0. Released v3.4.0.
% Transfm : none
% Format : tptp
% Command : run_E %s %d THM
% Computer : n016.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 05:01:31 AM UTC 2025
% Result : Theorem 84.47s 84.65s
% Output : Proof 84.51s
% Verified :
% SZS Type : Refutation
% Derivation depth : 12
% Number of leaves : 22
% Syntax : Number of formulae : 50 ( 11 unt; 0 typ; 0 def)
% Number of atoms : 230 ( 0 equ)
% Maximal formula atoms : 12 ( 4 avg)
% Number of connectives : 308 ( 147 ~; 114 |; 16 &)
% ( 24 <=>; 7 =>; 0 <=; 0 <~>)
% Maximal formula depth : 9 ( 5 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of FOOLs : 19 ( 19 fml; 0 var)
% Number of types : 2 ( 0 usr)
% Number of type conns : 0 ( 0 >; 0 *; 0 +; 0 <<)
% Number of predicates : 9 ( 7 usr; 1 prp; 0-3 aty)
% Number of functors : 5 ( 5 usr; 5 con; 0-0 aty)
% Number of variables : 67 ( 50 !; 9 ?; 67 :)
% Comments :
%------------------------------------------------------------------------------
tff(borderson_type,type,
borderson: ( $i * $i ) > $o ).
tff(c_georegion_l4_x45_y10_type,type,
c_georegion_l4_x45_y10: $i ).
tff(c_georegion_l4_x45_y9_type,type,
c_georegion_l4_x45_y9: $i ).
tff(mtvisible_type,type,
mtvisible: $i > $o ).
tff(c_tptpgeo_spindlecollectormt_type,type,
c_tptpgeo_spindlecollectormt: $i ).
tff(c_tptpgeo_member1_mt_type,type,
c_tptpgeo_member1_mt: $i ).
tff(c_tptpcol_6_18436_type,type,
c_tptpcol_6_18436: $i ).
tff(genlmt_type,type,
genlmt: ( $i * $i ) > $o ).
tff(1,plain,
^ [ARG2: $i] :
refl(( ~ ( ~ mtvisible(c_tptpgeo_spindlecollectormt)
| borderson(c_georegion_l4_x45_y9,ARG2) )
<=> ~ ( ~ mtvisible(c_tptpgeo_spindlecollectormt)
| borderson(c_georegion_l4_x45_y9,ARG2) ) )),
inference(bind,[status(th)],[]) ).
tff(2,plain,
( ! [ARG2: $i] :
~ ( ~ mtvisible(c_tptpgeo_spindlecollectormt)
| borderson(c_georegion_l4_x45_y9,ARG2) )
<=> ! [ARG2: $i] :
~ ( ~ mtvisible(c_tptpgeo_spindlecollectormt)
| borderson(c_georegion_l4_x45_y9,ARG2) ) ),
inference(quant_intro,[status(thm)],[1]) ).
tff(3,plain,
( ~ ? [ARG2: $i] :
( ~ mtvisible(c_tptpgeo_spindlecollectormt)
| borderson(c_georegion_l4_x45_y9,ARG2) )
<=> ~ ? [ARG2: $i] :
( ~ mtvisible(c_tptpgeo_spindlecollectormt)
| borderson(c_georegion_l4_x45_y9,ARG2) ) ),
inference(rewrite,[status(thm)],[]) ).
tff(4,plain,
( ~ ? [ARG2: $i] :
( mtvisible(c_tptpgeo_spindlecollectormt)
=> borderson(c_georegion_l4_x45_y9,ARG2) )
<=> ~ ? [ARG2: $i] :
( ~ mtvisible(c_tptpgeo_spindlecollectormt)
| borderson(c_georegion_l4_x45_y9,ARG2) ) ),
inference(rewrite,[status(thm)],[]) ).
tff(5,axiom,
~ ? [ARG2: $i] :
( mtvisible(c_tptpgeo_spindlecollectormt)
=> borderson(c_georegion_l4_x45_y9,ARG2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',query98) ).
tff(6,plain,
~ ? [ARG2: $i] :
( ~ mtvisible(c_tptpgeo_spindlecollectormt)
| borderson(c_georegion_l4_x45_y9,ARG2) ),
inference(modus_ponens,[status(thm)],[5,4]) ).
tff(7,plain,
~ ? [ARG2: $i] :
( ~ mtvisible(c_tptpgeo_spindlecollectormt)
| borderson(c_georegion_l4_x45_y9,ARG2) ),
inference(modus_ponens,[status(thm)],[6,3]) ).
tff(8,plain,
~ ? [ARG2: $i] :
( ~ mtvisible(c_tptpgeo_spindlecollectormt)
| borderson(c_georegion_l4_x45_y9,ARG2) ),
inference(modus_ponens,[status(thm)],[7,3]) ).
tff(9,plain,
~ ? [ARG2: $i] :
( ~ mtvisible(c_tptpgeo_spindlecollectormt)
| borderson(c_georegion_l4_x45_y9,ARG2) ),
inference(modus_ponens,[status(thm)],[8,3]) ).
tff(10,plain,
^ [ARG2: $i] :
refl($oeq(~ ( ~ mtvisible(c_tptpgeo_spindlecollectormt)
| borderson(c_georegion_l4_x45_y9,ARG2) ),
~ ( ~ mtvisible(c_tptpgeo_spindlecollectormt)
| borderson(c_georegion_l4_x45_y9,ARG2) ))),
inference(bind,[status(th)],[]) ).
tff(11,plain,
! [ARG2: $i] :
~ ( ~ mtvisible(c_tptpgeo_spindlecollectormt)
| borderson(c_georegion_l4_x45_y9,ARG2) ),
inference(nnf-neg,[status(sab)],[9,10]) ).
tff(12,plain,
! [ARG2: $i] :
~ ( ~ mtvisible(c_tptpgeo_spindlecollectormt)
| borderson(c_georegion_l4_x45_y9,ARG2) ),
inference(modus_ponens,[status(thm)],[11,2]) ).
tff(13,plain,
( ~ ! [ARG2: $i] :
~ ( ~ mtvisible(c_tptpgeo_spindlecollectormt)
| borderson(c_georegion_l4_x45_y9,ARG2) )
| ~ ( ~ mtvisible(c_tptpgeo_spindlecollectormt)
| borderson(c_georegion_l4_x45_y9,c_tptpcol_6_18436) ) ),
inference(quant_inst,[status(thm)],[]) ).
tff(14,plain,
~ ( ~ mtvisible(c_tptpgeo_spindlecollectormt)
| borderson(c_georegion_l4_x45_y9,c_tptpcol_6_18436) ),
inference(unit_resolution,[status(thm)],[13,12]) ).
tff(15,plain,
( ~ mtvisible(c_tptpgeo_spindlecollectormt)
| borderson(c_georegion_l4_x45_y9,c_tptpcol_6_18436)
| mtvisible(c_tptpgeo_spindlecollectormt) ),
inference(tautology,[status(thm)],[]) ).
tff(16,plain,
mtvisible(c_tptpgeo_spindlecollectormt),
inference(unit_resolution,[status(thm)],[15,14]) ).
tff(17,plain,
^ [SPECMT: $i,GENLMT: $i] :
refl(( ( mtvisible(GENLMT)
| ~ genlmt(SPECMT,GENLMT)
| ~ mtvisible(SPECMT) )
<=> ( mtvisible(GENLMT)
| ~ genlmt(SPECMT,GENLMT)
| ~ mtvisible(SPECMT) ) )),
inference(bind,[status(th)],[]) ).
tff(18,plain,
( ! [SPECMT: $i,GENLMT: $i] :
( mtvisible(GENLMT)
| ~ genlmt(SPECMT,GENLMT)
| ~ mtvisible(SPECMT) )
<=> ! [SPECMT: $i,GENLMT: $i] :
( mtvisible(GENLMT)
| ~ genlmt(SPECMT,GENLMT)
| ~ mtvisible(SPECMT) ) ),
inference(quant_intro,[status(thm)],[17]) ).
tff(19,plain,
^ [SPECMT: $i,GENLMT: $i] :
trans(monotonicity(trans(monotonicity(rewrite(( ( mtvisible(SPECMT)
& genlmt(SPECMT,GENLMT) )
<=> ~ ( ~ mtvisible(SPECMT)
| ~ genlmt(SPECMT,GENLMT) ) )),
( ~ ( mtvisible(SPECMT)
& genlmt(SPECMT,GENLMT) )
<=> ~ ~ ( ~ mtvisible(SPECMT)
| ~ genlmt(SPECMT,GENLMT) ) )),
rewrite(( ~ ~ ( ~ mtvisible(SPECMT)
| ~ genlmt(SPECMT,GENLMT) )
<=> ( ~ mtvisible(SPECMT)
| ~ genlmt(SPECMT,GENLMT) ) )),
( ~ ( mtvisible(SPECMT)
& genlmt(SPECMT,GENLMT) )
<=> ( ~ mtvisible(SPECMT)
| ~ genlmt(SPECMT,GENLMT) ) )),
( ( mtvisible(GENLMT)
| ~ ( mtvisible(SPECMT)
& genlmt(SPECMT,GENLMT) ) )
<=> ( mtvisible(GENLMT)
| ~ mtvisible(SPECMT)
| ~ genlmt(SPECMT,GENLMT) ) )),
rewrite(( ( mtvisible(GENLMT)
| ~ mtvisible(SPECMT)
| ~ genlmt(SPECMT,GENLMT) )
<=> ( mtvisible(GENLMT)
| ~ genlmt(SPECMT,GENLMT)
| ~ mtvisible(SPECMT) ) )),
( ( mtvisible(GENLMT)
| ~ ( mtvisible(SPECMT)
& genlmt(SPECMT,GENLMT) ) )
<=> ( mtvisible(GENLMT)
| ~ genlmt(SPECMT,GENLMT)
| ~ mtvisible(SPECMT) ) )),
inference(bind,[status(th)],[]) ).
tff(20,plain,
( ! [SPECMT: $i,GENLMT: $i] :
( mtvisible(GENLMT)
| ~ ( mtvisible(SPECMT)
& genlmt(SPECMT,GENLMT) ) )
<=> ! [SPECMT: $i,GENLMT: $i] :
( mtvisible(GENLMT)
| ~ genlmt(SPECMT,GENLMT)
| ~ mtvisible(SPECMT) ) ),
inference(quant_intro,[status(thm)],[19]) ).
tff(21,plain,
( ! [SPECMT: $i,GENLMT: $i] :
( mtvisible(GENLMT)
| ~ ( mtvisible(SPECMT)
& genlmt(SPECMT,GENLMT) ) )
<=> ! [SPECMT: $i,GENLMT: $i] :
( mtvisible(GENLMT)
| ~ ( mtvisible(SPECMT)
& genlmt(SPECMT,GENLMT) ) ) ),
inference(rewrite,[status(thm)],[]) ).
tff(22,plain,
^ [SPECMT: $i,GENLMT: $i] :
rewrite(( ( ( mtvisible(SPECMT)
& genlmt(SPECMT,GENLMT) )
=> mtvisible(GENLMT) )
<=> ( mtvisible(GENLMT)
| ~ ( mtvisible(SPECMT)
& genlmt(SPECMT,GENLMT) ) ) )),
inference(bind,[status(th)],[]) ).
tff(23,plain,
( ! [SPECMT: $i,GENLMT: $i] :
( ( mtvisible(SPECMT)
& genlmt(SPECMT,GENLMT) )
=> mtvisible(GENLMT) )
<=> ! [SPECMT: $i,GENLMT: $i] :
( mtvisible(GENLMT)
| ~ ( mtvisible(SPECMT)
& genlmt(SPECMT,GENLMT) ) ) ),
inference(quant_intro,[status(thm)],[22]) ).
tff(24,axiom,
! [SPECMT: $i,GENLMT: $i] :
( ( mtvisible(SPECMT)
& genlmt(SPECMT,GENLMT) )
=> mtvisible(GENLMT) ),
file('/export/starexec/sandbox/benchmark/Axioms/CSR002+1.ax',ax1_1123) ).
tff(25,plain,
! [SPECMT: $i,GENLMT: $i] :
( mtvisible(GENLMT)
| ~ ( mtvisible(SPECMT)
& genlmt(SPECMT,GENLMT) ) ),
inference(modus_ponens,[status(thm)],[24,23]) ).
tff(26,plain,
! [SPECMT: $i,GENLMT: $i] :
( mtvisible(GENLMT)
| ~ ( mtvisible(SPECMT)
& genlmt(SPECMT,GENLMT) ) ),
inference(modus_ponens,[status(thm)],[25,21]) ).
tff(27,plain,
! [SPECMT: $i,GENLMT: $i] :
( mtvisible(GENLMT)
| ~ ( mtvisible(SPECMT)
& genlmt(SPECMT,GENLMT) ) ),
inference(skolemize,[status(sab)],[26]) ).
tff(28,plain,
! [SPECMT: $i,GENLMT: $i] :
( mtvisible(GENLMT)
| ~ genlmt(SPECMT,GENLMT)
| ~ mtvisible(SPECMT) ),
inference(modus_ponens,[status(thm)],[27,20]) ).
tff(29,plain,
! [SPECMT: $i,GENLMT: $i] :
( mtvisible(GENLMT)
| ~ genlmt(SPECMT,GENLMT)
| ~ mtvisible(SPECMT) ),
inference(modus_ponens,[status(thm)],[28,18]) ).
tff(30,plain,
( genlmt(c_tptpgeo_spindlecollectormt,c_tptpgeo_member1_mt)
<=> genlmt(c_tptpgeo_spindlecollectormt,c_tptpgeo_member1_mt) ),
inference(rewrite,[status(thm)],[]) ).
tff(31,axiom,
genlmt(c_tptpgeo_spindlecollectormt,c_tptpgeo_member1_mt),
file('/export/starexec/sandbox/benchmark/Axioms/CSR002+1.ax',ax1_140) ).
tff(32,plain,
genlmt(c_tptpgeo_spindlecollectormt,c_tptpgeo_member1_mt),
inference(modus_ponens,[status(thm)],[31,30]) ).
tff(33,plain,
( ( ~ ! [SPECMT: $i,GENLMT: $i] :
( mtvisible(GENLMT)
| ~ genlmt(SPECMT,GENLMT)
| ~ mtvisible(SPECMT) )
| mtvisible(c_tptpgeo_member1_mt)
| ~ mtvisible(c_tptpgeo_spindlecollectormt)
| ~ genlmt(c_tptpgeo_spindlecollectormt,c_tptpgeo_member1_mt) )
<=> ( ~ ! [SPECMT: $i,GENLMT: $i] :
( mtvisible(GENLMT)
| ~ genlmt(SPECMT,GENLMT)
| ~ mtvisible(SPECMT) )
| mtvisible(c_tptpgeo_member1_mt)
| ~ mtvisible(c_tptpgeo_spindlecollectormt)
| ~ genlmt(c_tptpgeo_spindlecollectormt,c_tptpgeo_member1_mt) ) ),
inference(rewrite,[status(thm)],[]) ).
tff(34,plain,
( ( mtvisible(c_tptpgeo_member1_mt)
| ~ genlmt(c_tptpgeo_spindlecollectormt,c_tptpgeo_member1_mt)
| ~ mtvisible(c_tptpgeo_spindlecollectormt) )
<=> ( mtvisible(c_tptpgeo_member1_mt)
| ~ mtvisible(c_tptpgeo_spindlecollectormt)
| ~ genlmt(c_tptpgeo_spindlecollectormt,c_tptpgeo_member1_mt) ) ),
inference(rewrite,[status(thm)],[]) ).
tff(35,plain,
( ( ~ ! [SPECMT: $i,GENLMT: $i] :
( mtvisible(GENLMT)
| ~ genlmt(SPECMT,GENLMT)
| ~ mtvisible(SPECMT) )
| mtvisible(c_tptpgeo_member1_mt)
| ~ genlmt(c_tptpgeo_spindlecollectormt,c_tptpgeo_member1_mt)
| ~ mtvisible(c_tptpgeo_spindlecollectormt) )
<=> ( ~ ! [SPECMT: $i,GENLMT: $i] :
( mtvisible(GENLMT)
| ~ genlmt(SPECMT,GENLMT)
| ~ mtvisible(SPECMT) )
| mtvisible(c_tptpgeo_member1_mt)
| ~ mtvisible(c_tptpgeo_spindlecollectormt)
| ~ genlmt(c_tptpgeo_spindlecollectormt,c_tptpgeo_member1_mt) ) ),
inference(monotonicity,[status(thm)],[34]) ).
tff(36,plain,
( ( ~ ! [SPECMT: $i,GENLMT: $i] :
( mtvisible(GENLMT)
| ~ genlmt(SPECMT,GENLMT)
| ~ mtvisible(SPECMT) )
| mtvisible(c_tptpgeo_member1_mt)
| ~ genlmt(c_tptpgeo_spindlecollectormt,c_tptpgeo_member1_mt)
| ~ mtvisible(c_tptpgeo_spindlecollectormt) )
<=> ( ~ ! [SPECMT: $i,GENLMT: $i] :
( mtvisible(GENLMT)
| ~ genlmt(SPECMT,GENLMT)
| ~ mtvisible(SPECMT) )
| mtvisible(c_tptpgeo_member1_mt)
| ~ mtvisible(c_tptpgeo_spindlecollectormt)
| ~ genlmt(c_tptpgeo_spindlecollectormt,c_tptpgeo_member1_mt) ) ),
inference(transitivity,[status(thm)],[35,33]) ).
tff(37,plain,
( ~ ! [SPECMT: $i,GENLMT: $i] :
( mtvisible(GENLMT)
| ~ genlmt(SPECMT,GENLMT)
| ~ mtvisible(SPECMT) )
| mtvisible(c_tptpgeo_member1_mt)
| ~ genlmt(c_tptpgeo_spindlecollectormt,c_tptpgeo_member1_mt)
| ~ mtvisible(c_tptpgeo_spindlecollectormt) ),
inference(quant_inst,[status(thm)],[]) ).
tff(38,plain,
( ~ ! [SPECMT: $i,GENLMT: $i] :
( mtvisible(GENLMT)
| ~ genlmt(SPECMT,GENLMT)
| ~ mtvisible(SPECMT) )
| mtvisible(c_tptpgeo_member1_mt)
| ~ mtvisible(c_tptpgeo_spindlecollectormt)
| ~ genlmt(c_tptpgeo_spindlecollectormt,c_tptpgeo_member1_mt) ),
inference(modus_ponens,[status(thm)],[37,36]) ).
tff(39,plain,
( mtvisible(c_tptpgeo_member1_mt)
| ~ mtvisible(c_tptpgeo_spindlecollectormt) ),
inference(unit_resolution,[status(thm)],[38,32,29]) ).
tff(40,plain,
mtvisible(c_tptpgeo_member1_mt),
inference(unit_resolution,[status(thm)],[39,16]) ).
tff(41,plain,
( ( ~ mtvisible(c_tptpgeo_member1_mt)
| borderson(c_georegion_l4_x45_y9,c_georegion_l4_x45_y10) )
<=> ( ~ mtvisible(c_tptpgeo_member1_mt)
| borderson(c_georegion_l4_x45_y9,c_georegion_l4_x45_y10) ) ),
inference(rewrite,[status(thm)],[]) ).
tff(42,plain,
( ( mtvisible(c_tptpgeo_member1_mt)
=> borderson(c_georegion_l4_x45_y9,c_georegion_l4_x45_y10) )
<=> ( ~ mtvisible(c_tptpgeo_member1_mt)
| borderson(c_georegion_l4_x45_y9,c_georegion_l4_x45_y10) ) ),
inference(rewrite,[status(thm)],[]) ).
tff(43,axiom,
( mtvisible(c_tptpgeo_member1_mt)
=> borderson(c_georegion_l4_x45_y9,c_georegion_l4_x45_y10) ),
file('/export/starexec/sandbox/benchmark/Axioms/CSR002+1.ax',ax1_207) ).
tff(44,plain,
( ~ mtvisible(c_tptpgeo_member1_mt)
| borderson(c_georegion_l4_x45_y9,c_georegion_l4_x45_y10) ),
inference(modus_ponens,[status(thm)],[43,42]) ).
tff(45,plain,
( ~ mtvisible(c_tptpgeo_member1_mt)
| borderson(c_georegion_l4_x45_y9,c_georegion_l4_x45_y10) ),
inference(modus_ponens,[status(thm)],[44,41]) ).
tff(46,plain,
borderson(c_georegion_l4_x45_y9,c_georegion_l4_x45_y10),
inference(unit_resolution,[status(thm)],[45,40]) ).
tff(47,plain,
( ~ mtvisible(c_tptpgeo_spindlecollectormt)
| borderson(c_georegion_l4_x45_y9,c_georegion_l4_x45_y10)
| ~ borderson(c_georegion_l4_x45_y9,c_georegion_l4_x45_y10) ),
inference(tautology,[status(thm)],[]) ).
tff(48,plain,
( ~ mtvisible(c_tptpgeo_spindlecollectormt)
| borderson(c_georegion_l4_x45_y9,c_georegion_l4_x45_y10) ),
inference(unit_resolution,[status(thm)],[47,46]) ).
tff(49,plain,
( ~ ! [ARG2: $i] :
~ ( ~ mtvisible(c_tptpgeo_spindlecollectormt)
| borderson(c_georegion_l4_x45_y9,ARG2) )
| ~ ( ~ mtvisible(c_tptpgeo_spindlecollectormt)
| borderson(c_georegion_l4_x45_y9,c_georegion_l4_x45_y10) ) ),
inference(quant_inst,[status(thm)],[]) ).
tff(50,plain,
$false,
inference(unit_resolution,[status(thm)],[49,12,48]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.12 % Problem : CSR048+2 : TPTP v9.0.0. Released v3.4.0.
% 0.06/0.12 % Command : run_E %s %d THM
% 0.12/0.33 % Computer : n016.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 12:39:32 EDT 2025
% 0.12/0.33 % CPUTime :
% 84.47/84.65 % SZS status Theorem
% 84.47/84.65 % SZS output start Proof
% See solution above
% 84.51/84.71 % E exiting
%------------------------------------------------------------------------------