TSTP Solution File: CSR059+1 by Leo-III-SAT---1.7.10
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%------------------------------------------------------------------------------
% File : Leo-III-SAT---1.7.10
% Problem : CSR059+1 : TPTP v8.1.2. Released v3.4.0.
% Transfm : none
% Format : tptp:raw
% Command : run_Leo-III %s %d
% Computer : n024.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 May 7 10:28:47 EDT 2024
% Result : Theorem 47.51s 7.93s
% Output : Refutation 47.51s
% Verified :
% SZS Type : Refutation
% Derivation depth : 14
% Number of leaves : 12
% Syntax : Number of formulae : 34 ( 9 unt; 7 typ; 0 def)
% Number of atoms : 55 ( 3 equ; 0 cnn)
% Maximal formula atoms : 3 ( 2 avg)
% Number of connectives : 114 ( 14 ~; 11 |; 2 &; 78 @)
% ( 0 <=>; 9 =>; 0 <=; 0 <~>)
% Maximal formula depth : 8 ( 5 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 5 ( 5 >; 0 *; 0 +; 0 <<)
% Number of symbols : 10 ( 7 usr; 6 con; 0-2 aty)
% Number of variables : 19 ( 0 ^ 19 !; 0 ?; 19 :)
% Comments :
%------------------------------------------------------------------------------
thf(mtvisible_type,type,
mtvisible: $i > $o ).
thf(c_tptpgeo_spindlecollectormt_type,type,
c_tptpgeo_spindlecollectormt: $i ).
thf(borderson_type,type,
borderson: $i > $i > $o ).
thf(c_georegion_l4_x57_y47_type,type,
c_georegion_l4_x57_y47: $i ).
thf(c_georegion_l4_x56_y47_type,type,
c_georegion_l4_x56_y47: $i ).
thf(genlmt_type,type,
genlmt: $i > $i > $o ).
thf(c_tptpgeo_member5_mt_type,type,
c_tptpgeo_member5_mt: $i ).
thf(18,axiom,
( ( mtvisible @ c_tptpgeo_member5_mt )
=> ( borderson @ c_georegion_l4_x56_y47 @ c_georegion_l4_x57_y47 ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',just2) ).
thf(53,plain,
( ( mtvisible @ c_tptpgeo_member5_mt )
=> ( borderson @ c_georegion_l4_x56_y47 @ c_georegion_l4_x57_y47 ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[18]) ).
thf(54,plain,
( ~ ( mtvisible @ c_tptpgeo_member5_mt )
| ( borderson @ c_georegion_l4_x56_y47 @ c_georegion_l4_x57_y47 ) ),
inference(cnf,[status(esa)],[53]) ).
thf(11,axiom,
genlmt @ c_tptpgeo_spindlecollectormt @ c_tptpgeo_member5_mt,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',just1) ).
thf(41,plain,
genlmt @ c_tptpgeo_spindlecollectormt @ c_tptpgeo_member5_mt,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[11]) ).
thf(1,conjecture,
( ( mtvisible @ c_tptpgeo_spindlecollectormt )
=> ( borderson @ c_georegion_l4_x57_y47 @ c_georegion_l4_x56_y47 ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',query59) ).
thf(2,negated_conjecture,
~ ( ( mtvisible @ c_tptpgeo_spindlecollectormt )
=> ( borderson @ c_georegion_l4_x57_y47 @ c_georegion_l4_x56_y47 ) ),
inference(neg_conjecture,[status(cth)],[1]) ).
thf(19,plain,
~ ( ( mtvisible @ c_tptpgeo_spindlecollectormt )
=> ( borderson @ c_georegion_l4_x57_y47 @ c_georegion_l4_x56_y47 ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[2]) ).
thf(21,plain,
mtvisible @ c_tptpgeo_spindlecollectormt,
inference(cnf,[status(esa)],[19]) ).
thf(17,axiom,
! [A: $i,B: $i] :
( ( ( mtvisible @ A )
& ( genlmt @ A @ B ) )
=> ( mtvisible @ B ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',just31) ).
thf(51,plain,
! [A: $i,B: $i] :
( ( ( mtvisible @ A )
& ( genlmt @ A @ B ) )
=> ( mtvisible @ B ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[17]) ).
thf(52,plain,
! [B: $i,A: $i] :
( ~ ( mtvisible @ A )
| ~ ( genlmt @ A @ B )
| ( mtvisible @ B ) ),
inference(cnf,[status(esa)],[51]) ).
thf(57,plain,
! [B: $i,A: $i] :
( ~ ( genlmt @ A @ B )
| ( mtvisible @ B )
| ( ( mtvisible @ c_tptpgeo_spindlecollectormt )
!= ( mtvisible @ A ) ) ),
inference(paramod_ordered,[status(thm)],[21,52]) ).
thf(58,plain,
! [A: $i] :
( ~ ( genlmt @ c_tptpgeo_spindlecollectormt @ A )
| ( mtvisible @ A ) ),
inference(pattern_uni,[status(thm)],[57:[bind(A,$thf( c_tptpgeo_spindlecollectormt ))]]) ).
thf(62,plain,
! [A: $i] :
( ~ ( genlmt @ c_tptpgeo_spindlecollectormt @ A )
| ( mtvisible @ A ) ),
inference(simp,[status(thm)],[58]) ).
thf(66,plain,
! [A: $i] :
( ( mtvisible @ A )
| ( ( genlmt @ c_tptpgeo_spindlecollectormt @ c_tptpgeo_member5_mt )
!= ( genlmt @ c_tptpgeo_spindlecollectormt @ A ) ) ),
inference(paramod_ordered,[status(thm)],[41,62]) ).
thf(67,plain,
mtvisible @ c_tptpgeo_member5_mt,
inference(pattern_uni,[status(thm)],[66:[bind(A,$thf( c_tptpgeo_member5_mt ))]]) ).
thf(78,plain,
( ~ $true
| ( borderson @ c_georegion_l4_x56_y47 @ c_georegion_l4_x57_y47 ) ),
inference(rewrite,[status(thm)],[54,67]) ).
thf(79,plain,
borderson @ c_georegion_l4_x56_y47 @ c_georegion_l4_x57_y47,
inference(simp,[status(thm)],[78]) ).
thf(15,axiom,
! [A: $i,B: $i] :
( ( borderson @ A @ B )
=> ( borderson @ B @ A ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',just29) ).
thf(48,plain,
! [A: $i,B: $i] :
( ( borderson @ A @ B )
=> ( borderson @ B @ A ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[15]) ).
thf(49,plain,
! [B: $i,A: $i] :
( ~ ( borderson @ A @ B )
| ( borderson @ B @ A ) ),
inference(cnf,[status(esa)],[48]) ).
thf(4307,plain,
! [B: $i,A: $i] :
( ( borderson @ B @ A )
| ( ( borderson @ c_georegion_l4_x56_y47 @ c_georegion_l4_x57_y47 )
!= ( borderson @ A @ B ) ) ),
inference(paramod_ordered,[status(thm)],[79,49]) ).
thf(4308,plain,
borderson @ c_georegion_l4_x57_y47 @ c_georegion_l4_x56_y47,
inference(pattern_uni,[status(thm)],[4307:[bind(A,$thf( c_georegion_l4_x56_y47 )),bind(B,$thf( c_georegion_l4_x57_y47 ))]]) ).
thf(20,plain,
~ ( borderson @ c_georegion_l4_x57_y47 @ c_georegion_l4_x56_y47 ),
inference(cnf,[status(esa)],[19]) ).
thf(4311,plain,
$false,
inference(rewrite,[status(thm)],[4308,20]) ).
thf(4312,plain,
$false,
inference(simp,[status(thm)],[4311]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.10/0.12 % Problem : CSR059+1 : TPTP v8.1.2. Released v3.4.0.
% 0.10/0.15 % Command : run_Leo-III %s %d
% 0.16/0.36 % Computer : n024.cluster.edu
% 0.16/0.36 % Model : x86_64 x86_64
% 0.16/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.16/0.36 % Memory : 8042.1875MB
% 0.16/0.36 % OS : Linux 3.10.0-693.el7.x86_64
% 0.16/0.36 % CPULimit : 300
% 0.16/0.36 % WCLimit : 300
% 0.16/0.36 % DateTime : Mon May 6 23:15:09 EDT 2024
% 0.16/0.36 % CPUTime :
% 0.88/0.85 % [INFO] Parsing problem /export/starexec/sandbox2/benchmark/theBenchmark.p ...
% 1.21/0.97 % [INFO] Parsing done (123ms).
% 1.21/0.98 % [INFO] Running in sequential loop mode.
% 1.79/1.19 % [INFO] nitpick registered as external prover.
% 1.79/1.19 % [INFO] Scanning for conjecture ...
% 1.94/1.24 % [INFO] Found a conjecture and 39 axioms. Running axiom selection ...
% 1.94/1.28 % [INFO] Axiom selection finished. Selected 16 axioms (removed 23 axioms).
% 1.94/1.30 % [INFO] Problem is first-order (TPTP FOF).
% 1.94/1.30 % [INFO] Type checking passed.
% 1.94/1.30 % [CONFIG] Using configuration: timeout(300) with strategy<name(default),share(1.0),primSubst(3),sos(false),unifierCount(4),uniDepth(8),boolExt(true),choice(true),renaming(true),funcspec(false), domConstr(0),specialInstances(39),restrictUniAttempts(true),termOrdering(CPO)>. Searching for refutation ...
% 47.51/7.91 % [INFO] Killing All external provers ...
% 47.51/7.93 % Time passed: 7409ms (effective reasoning time: 6944ms)
% 47.51/7.93 % Solved by strategy<name(default),share(1.0),primSubst(3),sos(false),unifierCount(4),uniDepth(8),boolExt(true),choice(true),renaming(true),funcspec(false), domConstr(0),specialInstances(39),restrictUniAttempts(true),termOrdering(CPO)>
% 47.51/7.93 % Axioms used in derivation (4): just2, just1, just31, just29
% 47.51/7.93 % No. of inferences in proof: 27
% 47.51/7.93 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p : 7409 ms resp. 6944 ms w/o parsing
% 47.51/7.96 % SZS output start Refutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% See solution above
% 47.58/7.97 % [INFO] Killing All external provers ...
%------------------------------------------------------------------------------