%------------------------------------------------------------------------------
% File : Leo-III---1.8.0
% Problem : GRA076_1.002 : TPTP v9.3.1. Released v9.0.0.
% Transfm : none
% Format : tptp:raw
% Command : java -Xss128m -Xmx2g -Xms1g -jar /export/starexec/sandbox/solver/bin/leo3.jar /export/starexec/sandbox/benchmark/theBenchmark.p -t 300 -p --atp eprover=/export/starexec/sandbox/solver/bin/externals/eprover --instantiate 39
% Computer : n006.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8046.5625MB
% OS : Linux 6.8.0-71-generic
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Sun Sep 27 07:18:30 AM UTC 2026
% Result : Theorem 62.62s 13.65s
% Output : Refutation 53.36s
% Verified :
% SZS Type : Refutation
% Derivation depth : 3
% Number of leaves : 1
% Syntax : Number of formulae : 4 ( 1 unt; 0 typ; 0 def)
% Number of atoms : 303 ( 0 equ; 0 cnn)
% Maximal formula atoms : 110 ( 75 avg)
% Number of connectives : 805 ( 30 ~; 48 |; 154 &; 476 @)
% ( 14 <=>; 83 =>; 0 <=; 0 <~>)
% Maximal formula depth : 32 ( 24 avg)
% Number of types : 2 ( 1 usr)
% Number of type conns : 0 ( 0 >; 0 *; 0 +; 0 <<)
% Number of symbols : 17 ( 16 usr; 2 con; 0-2 aty)
% Number of variables : 174 ( 0 ^; 69 !; 105 ?; 174 :)
% Comments :
%------------------------------------------------------------------------------
thf('$world_type',type,
'$world': $tType ).
thf('$local_world_decl',type,
'$local_world': '$world' ).
thf('$accessible_world_decl',type,
'$accessible_world': '$world' > '$world' > $o ).
thf(false_decl,type,
false: '$world' > $o ).
thf(p1_decl,type,
p1: '$world' > $o ).
thf(p10_decl,type,
p10: '$world' > $o ).
thf(p12_decl,type,
p12: '$world' > $o ).
thf(p14_decl,type,
p14: '$world' > $o ).
thf(p16_decl,type,
p16: '$world' > $o ).
thf(p2_decl,type,
p2: '$world' > $o ).
thf(p3_decl,type,
p3: '$world' > $o ).
thf(p4_decl,type,
p4: '$world' > $o ).
thf(p5_decl,type,
p5: '$world' > $o ).
thf(p6_decl,type,
p6: '$world' > $o ).
thf(p7_decl,type,
p7: '$world' > $o ).
thf(p8_decl,type,
p8: '$world' > $o ).
thf(p9_decl,type,
p9: '$world' > $o ).
thf(1,conjecture,
~ ~ ( ! [A: '$world'] :
( ( A @ ( '$local_world' @ '$accessible_world' ) )
=> ! [B: '$world'] :
( ( B @ ( A @ '$accessible_world' ) )
=> ! [C: '$world'] :
( ( C @ ( B @ '$accessible_world' ) )
=> ! [D: '$world'] :
( ( D @ ( C @ '$accessible_world' ) )
=> ! [E: '$world'] :
( ( E @ ( D @ '$accessible_world' ) )
=> ! [F: '$world'] :
( ( F @ ( E @ '$accessible_world' ) )
=> ! [G: '$world'] :
( ( G @ ( F @ '$accessible_world' ) )
=> ! [H: '$world'] :
( ( H @ ( G @ '$accessible_world' ) )
=> ( ~ ( H @ p16 )
& ~ ( H @ p14 )
& ~ ( H @ p12 )
& ~ ( H @ p10 )
& ~ ( H @ p8 )
& ~ ( H @ p6 )
& ~ ( H @ p4 )
& ~ ( H @ p2 ) ) ) ) ) ) ) ) ) )
| ! [A: '$world'] :
( ( A @ ( '$local_world' @ '$accessible_world' ) )
=> ( A @ p9 ) )
| ? [A: '$world'] :
( ( ? [B: '$world'] :
( ? [C: '$world'] :
( ? [D: '$world'] :
( ? [E: '$world'] :
( ? [F: '$world'] :
( ? [G: '$world'] :
( ? [H: '$world'] :
( ( ( H @ p7 )
<=> ( H @ p1 ) )
& ( H @ ( G @ '$accessible_world' ) ) )
& ( G @ ( F @ '$accessible_world' ) ) )
& ( F @ ( E @ '$accessible_world' ) ) )
& ( E @ ( D @ '$accessible_world' ) ) )
& ( D @ ( C @ '$accessible_world' ) ) )
& ( C @ ( B @ '$accessible_world' ) ) )
& ( B @ ( A @ '$accessible_world' ) ) )
| ! [B: '$world'] :
( ( B @ ( A @ '$accessible_world' ) )
=> ( B @ p8 ) )
| ? [B: '$world'] :
( ( ? [C: '$world'] :
( ? [D: '$world'] :
( ? [E: '$world'] :
( ? [F: '$world'] :
( ? [G: '$world'] :
( ? [H: '$world'] :
( ( ( H @ p6 )
<=> ( H @ p7 ) )
& ( H @ ( G @ '$accessible_world' ) ) )
& ( G @ ( F @ '$accessible_world' ) ) )
& ( F @ ( E @ '$accessible_world' ) ) )
& ( E @ ( D @ '$accessible_world' ) ) )
& ( D @ ( C @ '$accessible_world' ) ) )
& ( C @ ( B @ '$accessible_world' ) ) )
| ! [C: '$world'] :
( ( C @ ( B @ '$accessible_world' ) )
=> ( C @ p7 ) )
| ? [C: '$world'] :
( ( ? [D: '$world'] :
( ? [E: '$world'] :
( ? [F: '$world'] :
( ? [G: '$world'] :
( ? [H: '$world'] :
( ( ( H @ p5 )
<=> ( H @ p6 ) )
& ( H @ ( G @ '$accessible_world' ) ) )
& ( G @ ( F @ '$accessible_world' ) ) )
& ( F @ ( E @ '$accessible_world' ) ) )
& ( E @ ( D @ '$accessible_world' ) ) )
& ( D @ ( C @ '$accessible_world' ) ) )
| ! [D: '$world'] :
( ( D @ ( C @ '$accessible_world' ) )
=> ( D @ p6 ) )
| ? [D: '$world'] :
( ( ? [E: '$world'] :
( ? [F: '$world'] :
( ? [G: '$world'] :
( ? [H: '$world'] :
( ( ( H @ p4 )
<=> ( H @ p5 ) )
& ( H @ ( G @ '$accessible_world' ) ) )
& ( G @ ( F @ '$accessible_world' ) ) )
& ( F @ ( E @ '$accessible_world' ) ) )
& ( E @ ( D @ '$accessible_world' ) ) )
| ! [E: '$world'] :
( ( E @ ( D @ '$accessible_world' ) )
=> ( E @ p5 ) )
| ? [E: '$world'] :
( ( ? [F: '$world'] :
( ? [G: '$world'] :
( ? [H: '$world'] :
( ( ( H @ p3 )
<=> ( H @ p4 ) )
& ( H @ ( G @ '$accessible_world' ) ) )
& ( G @ ( F @ '$accessible_world' ) ) )
& ( F @ ( E @ '$accessible_world' ) ) )
| ! [F: '$world'] :
( ( F @ ( E @ '$accessible_world' ) )
=> ( F @ p4 ) )
| ? [F: '$world'] :
( ( ? [G: '$world'] :
( ? [H: '$world'] :
( ( ( H @ p2 )
<=> ( H @ p3 ) )
& ( H @ ( G @ '$accessible_world' ) ) )
& ( G @ ( F @ '$accessible_world' ) ) )
| ! [G: '$world'] :
( ( G @ ( F @ '$accessible_world' ) )
=> ( G @ p3 ) )
| ? [G: '$world'] :
( ( ? [H: '$world'] :
( ( ( H @ p1 )
<=> ( H @ p2 ) )
& ( H @ ( G @ '$accessible_world' ) ) )
| ( G @ false ) )
& ( G @ ( F @ '$accessible_world' ) ) ) )
& ( F @ ( E @ '$accessible_world' ) ) ) )
& ( E @ ( D @ '$accessible_world' ) ) ) )
& ( D @ ( C @ '$accessible_world' ) ) ) )
& ( C @ ( B @ '$accessible_world' ) ) ) )
& ( B @ ( A @ '$accessible_world' ) ) ) )
& ( A @ ( '$local_world' @ '$accessible_world' ) ) )
| ! [A: '$world'] :
( ( A @ ( '$local_world' @ '$accessible_world' ) )
=> ! [B: '$world'] :
( ( B @ ( A @ '$accessible_world' ) )
=> ! [C: '$world'] :
( ( C @ ( B @ '$accessible_world' ) )
=> ! [D: '$world'] :
( ( D @ ( C @ '$accessible_world' ) )
=> ! [E: '$world'] :
( ( E @ ( D @ '$accessible_world' ) )
=> ! [F: '$world'] :
( ( F @ ( E @ '$accessible_world' ) )
=> ! [G: '$world'] :
( ( G @ ( F @ '$accessible_world' ) )
=> ! [H: '$world'] :
( ( H @ ( G @ '$accessible_world' ) )
=> ( ( H @ p8 )
& ( H @ p7 )
& ( H @ p6 )
& ( H @ p5 )
& ( H @ p4 )
& ( H @ p3 )
& ( H @ p2 )
& ( H @ p1 ) ) ) ) ) ) ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove) ).
thf(2,negated_conjecture,
~ ~ ~ ( ! [A: '$world'] :
( ( A @ ( '$local_world' @ '$accessible_world' ) )
=> ! [B: '$world'] :
( ( B @ ( A @ '$accessible_world' ) )
=> ! [C: '$world'] :
( ( C @ ( B @ '$accessible_world' ) )
=> ! [D: '$world'] :
( ( D @ ( C @ '$accessible_world' ) )
=> ! [E: '$world'] :
( ( E @ ( D @ '$accessible_world' ) )
=> ! [F: '$world'] :
( ( F @ ( E @ '$accessible_world' ) )
=> ! [G: '$world'] :
( ( G @ ( F @ '$accessible_world' ) )
=> ! [H: '$world'] :
( ( H @ ( G @ '$accessible_world' ) )
=> ( ~ ( H @ p16 )
& ~ ( H @ p14 )
& ~ ( H @ p12 )
& ~ ( H @ p10 )
& ~ ( H @ p8 )
& ~ ( H @ p6 )
& ~ ( H @ p4 )
& ~ ( H @ p2 ) ) ) ) ) ) ) ) ) )
| ! [A: '$world'] :
( ( A @ ( '$local_world' @ '$accessible_world' ) )
=> ( A @ p9 ) )
| ? [A: '$world'] :
( ( ? [B: '$world'] :
( ? [C: '$world'] :
( ? [D: '$world'] :
( ? [E: '$world'] :
( ? [F: '$world'] :
( ? [G: '$world'] :
( ? [H: '$world'] :
( ( ( H @ p7 )
<=> ( H @ p1 ) )
& ( H @ ( G @ '$accessible_world' ) ) )
& ( G @ ( F @ '$accessible_world' ) ) )
& ( F @ ( E @ '$accessible_world' ) ) )
& ( E @ ( D @ '$accessible_world' ) ) )
& ( D @ ( C @ '$accessible_world' ) ) )
& ( C @ ( B @ '$accessible_world' ) ) )
& ( B @ ( A @ '$accessible_world' ) ) )
| ! [B: '$world'] :
( ( B @ ( A @ '$accessible_world' ) )
=> ( B @ p8 ) )
| ? [B: '$world'] :
( ( ? [C: '$world'] :
( ? [D: '$world'] :
( ? [E: '$world'] :
( ? [F: '$world'] :
( ? [G: '$world'] :
( ? [H: '$world'] :
( ( ( H @ p6 )
<=> ( H @ p7 ) )
& ( H @ ( G @ '$accessible_world' ) ) )
& ( G @ ( F @ '$accessible_world' ) ) )
& ( F @ ( E @ '$accessible_world' ) ) )
& ( E @ ( D @ '$accessible_world' ) ) )
& ( D @ ( C @ '$accessible_world' ) ) )
& ( C @ ( B @ '$accessible_world' ) ) )
| ! [C: '$world'] :
( ( C @ ( B @ '$accessible_world' ) )
=> ( C @ p7 ) )
| ? [C: '$world'] :
( ( ? [D: '$world'] :
( ? [E: '$world'] :
( ? [F: '$world'] :
( ? [G: '$world'] :
( ? [H: '$world'] :
( ( ( H @ p5 )
<=> ( H @ p6 ) )
& ( H @ ( G @ '$accessible_world' ) ) )
& ( G @ ( F @ '$accessible_world' ) ) )
& ( F @ ( E @ '$accessible_world' ) ) )
& ( E @ ( D @ '$accessible_world' ) ) )
& ( D @ ( C @ '$accessible_world' ) ) )
| ! [D: '$world'] :
( ( D @ ( C @ '$accessible_world' ) )
=> ( D @ p6 ) )
| ? [D: '$world'] :
( ( ? [E: '$world'] :
( ? [F: '$world'] :
( ? [G: '$world'] :
( ? [H: '$world'] :
( ( ( H @ p4 )
<=> ( H @ p5 ) )
& ( H @ ( G @ '$accessible_world' ) ) )
& ( G @ ( F @ '$accessible_world' ) ) )
& ( F @ ( E @ '$accessible_world' ) ) )
& ( E @ ( D @ '$accessible_world' ) ) )
| ! [E: '$world'] :
( ( E @ ( D @ '$accessible_world' ) )
=> ( E @ p5 ) )
| ? [E: '$world'] :
( ( ? [F: '$world'] :
( ? [G: '$world'] :
( ? [H: '$world'] :
( ( ( H @ p3 )
<=> ( H @ p4 ) )
& ( H @ ( G @ '$accessible_world' ) ) )
& ( G @ ( F @ '$accessible_world' ) ) )
& ( F @ ( E @ '$accessible_world' ) ) )
| ! [F: '$world'] :
( ( F @ ( E @ '$accessible_world' ) )
=> ( F @ p4 ) )
| ? [F: '$world'] :
( ( ? [G: '$world'] :
( ? [H: '$world'] :
( ( ( H @ p2 )
<=> ( H @ p3 ) )
& ( H @ ( G @ '$accessible_world' ) ) )
& ( G @ ( F @ '$accessible_world' ) ) )
| ! [G: '$world'] :
( ( G @ ( F @ '$accessible_world' ) )
=> ( G @ p3 ) )
| ? [G: '$world'] :
( ( ? [H: '$world'] :
( ( ( H @ p1 )
<=> ( H @ p2 ) )
& ( H @ ( G @ '$accessible_world' ) ) )
| ( G @ false ) )
& ( G @ ( F @ '$accessible_world' ) ) ) )
& ( F @ ( E @ '$accessible_world' ) ) ) )
& ( E @ ( D @ '$accessible_world' ) ) ) )
& ( D @ ( C @ '$accessible_world' ) ) ) )
& ( C @ ( B @ '$accessible_world' ) ) ) )
& ( B @ ( A @ '$accessible_world' ) ) ) )
& ( A @ ( '$local_world' @ '$accessible_world' ) ) )
| ! [A: '$world'] :
( ( A @ ( '$local_world' @ '$accessible_world' ) )
=> ! [B: '$world'] :
( ( B @ ( A @ '$accessible_world' ) )
=> ! [C: '$world'] :
( ( C @ ( B @ '$accessible_world' ) )
=> ! [D: '$world'] :
( ( D @ ( C @ '$accessible_world' ) )
=> ! [E: '$world'] :
( ( E @ ( D @ '$accessible_world' ) )
=> ! [F: '$world'] :
( ( F @ ( E @ '$accessible_world' ) )
=> ! [G: '$world'] :
( ( G @ ( F @ '$accessible_world' ) )
=> ! [H: '$world'] :
( ( H @ ( G @ '$accessible_world' ) )
=> ( ( H @ p8 )
& ( H @ p7 )
& ( H @ p6 )
& ( H @ p5 )
& ( H @ p4 )
& ( H @ p3 )
& ( H @ p2 )
& ( H @ p1 ) ) ) ) ) ) ) ) ) ) ),
inference(neg_conjecture,[status(cth)],[1]) ).
thf(3,plain,
~ ( ! [A: '$world'] :
( ( A @ ( '$local_world' @ '$accessible_world' ) )
=> ! [B: '$world'] :
( ( B @ ( A @ '$accessible_world' ) )
=> ! [C: '$world'] :
( ( C @ ( B @ '$accessible_world' ) )
=> ! [D: '$world'] :
( ( D @ ( C @ '$accessible_world' ) )
=> ! [E: '$world'] :
( ( E @ ( D @ '$accessible_world' ) )
=> ! [F: '$world'] :
( ( F @ ( E @ '$accessible_world' ) )
=> ! [G: '$world'] :
( ( G @ ( F @ '$accessible_world' ) )
=> ! [H: '$world'] :
( ( H @ ( G @ '$accessible_world' ) )
=> ( ~ ( H @ p16 )
& ~ ( H @ p14 )
& ~ ( H @ p12 )
& ~ ( H @ p10 )
& ~ ( H @ p8 )
& ~ ( H @ p6 )
& ~ ( H @ p4 )
& ~ ( H @ p2 ) ) ) ) ) ) ) ) ) )
| ! [A: '$world'] :
( ( A @ ( '$local_world' @ '$accessible_world' ) )
=> ( A @ p9 ) )
| ? [A: '$world'] :
( ( ? [B: '$world'] :
( ? [C: '$world'] :
( ? [D: '$world'] :
( ? [E: '$world'] :
( ? [F: '$world'] :
( ? [G: '$world'] :
( ? [H: '$world'] :
( ( ( H @ p1 )
=> ( H @ p7 ) )
& ( ( H @ p7 )
=> ( H @ p1 ) )
& ( H @ ( G @ '$accessible_world' ) ) )
& ( G @ ( F @ '$accessible_world' ) ) )
& ( F @ ( E @ '$accessible_world' ) ) )
& ( E @ ( D @ '$accessible_world' ) ) )
& ( D @ ( C @ '$accessible_world' ) ) )
& ( C @ ( B @ '$accessible_world' ) ) )
& ( B @ ( A @ '$accessible_world' ) ) )
| ! [B: '$world'] :
( ( B @ ( A @ '$accessible_world' ) )
=> ( B @ p8 ) )
| ? [B: '$world'] :
( ( ? [C: '$world'] :
( ? [D: '$world'] :
( ? [E: '$world'] :
( ? [F: '$world'] :
( ? [G: '$world'] :
( ? [H: '$world'] :
( ( ( H @ p7 )
=> ( H @ p6 ) )
& ( ( H @ p6 )
=> ( H @ p7 ) )
& ( H @ ( G @ '$accessible_world' ) ) )
& ( G @ ( F @ '$accessible_world' ) ) )
& ( F @ ( E @ '$accessible_world' ) ) )
& ( E @ ( D @ '$accessible_world' ) ) )
& ( D @ ( C @ '$accessible_world' ) ) )
& ( C @ ( B @ '$accessible_world' ) ) )
| ! [C: '$world'] :
( ( C @ ( B @ '$accessible_world' ) )
=> ( C @ p7 ) )
| ? [C: '$world'] :
( ( ? [D: '$world'] :
( ? [E: '$world'] :
( ? [F: '$world'] :
( ? [G: '$world'] :
( ? [H: '$world'] :
( ( ( H @ p6 )
=> ( H @ p5 ) )
& ( ( H @ p5 )
=> ( H @ p6 ) )
& ( H @ ( G @ '$accessible_world' ) ) )
& ( G @ ( F @ '$accessible_world' ) ) )
& ( F @ ( E @ '$accessible_world' ) ) )
& ( E @ ( D @ '$accessible_world' ) ) )
& ( D @ ( C @ '$accessible_world' ) ) )
| ! [D: '$world'] :
( ( D @ ( C @ '$accessible_world' ) )
=> ( D @ p6 ) )
| ? [D: '$world'] :
( ( ? [E: '$world'] :
( ? [F: '$world'] :
( ? [G: '$world'] :
( ? [H: '$world'] :
( ( ( H @ p5 )
=> ( H @ p4 ) )
& ( ( H @ p4 )
=> ( H @ p5 ) )
& ( H @ ( G @ '$accessible_world' ) ) )
& ( G @ ( F @ '$accessible_world' ) ) )
& ( F @ ( E @ '$accessible_world' ) ) )
& ( E @ ( D @ '$accessible_world' ) ) )
| ! [E: '$world'] :
( ( E @ ( D @ '$accessible_world' ) )
=> ( E @ p5 ) )
| ? [E: '$world'] :
( ( ? [F: '$world'] :
( ? [G: '$world'] :
( ? [H: '$world'] :
( ( ( H @ p4 )
=> ( H @ p3 ) )
& ( ( H @ p3 )
=> ( H @ p4 ) )
& ( H @ ( G @ '$accessible_world' ) ) )
& ( G @ ( F @ '$accessible_world' ) ) )
& ( F @ ( E @ '$accessible_world' ) ) )
| ! [F: '$world'] :
( ( F @ ( E @ '$accessible_world' ) )
=> ( F @ p4 ) )
| ? [F: '$world'] :
( ( ? [G: '$world'] :
( ? [H: '$world'] :
( ( ( H @ p3 )
=> ( H @ p2 ) )
& ( ( H @ p2 )
=> ( H @ p3 ) )
& ( H @ ( G @ '$accessible_world' ) ) )
& ( G @ ( F @ '$accessible_world' ) ) )
| ! [G: '$world'] :
( ( G @ ( F @ '$accessible_world' ) )
=> ( G @ p3 ) )
| ? [G: '$world'] :
( ( ? [H: '$world'] :
( ( ( H @ p2 )
=> ( H @ p1 ) )
& ( ( H @ p1 )
=> ( H @ p2 ) )
& ( H @ ( G @ '$accessible_world' ) ) )
| ( G @ false ) )
& ( G @ ( F @ '$accessible_world' ) ) ) )
& ( F @ ( E @ '$accessible_world' ) ) ) )
& ( E @ ( D @ '$accessible_world' ) ) ) )
& ( D @ ( C @ '$accessible_world' ) ) ) )
& ( C @ ( B @ '$accessible_world' ) ) ) )
& ( B @ ( A @ '$accessible_world' ) ) ) )
& ( A @ ( '$local_world' @ '$accessible_world' ) ) )
| ! [A: '$world'] :
( ( A @ ( '$local_world' @ '$accessible_world' ) )
=> ! [B: '$world'] :
( ( B @ ( A @ '$accessible_world' ) )
=> ! [C: '$world'] :
( ( C @ ( B @ '$accessible_world' ) )
=> ! [D: '$world'] :
( ( D @ ( C @ '$accessible_world' ) )
=> ! [E: '$world'] :
( ( E @ ( D @ '$accessible_world' ) )
=> ! [F: '$world'] :
( ( F @ ( E @ '$accessible_world' ) )
=> ! [G: '$world'] :
( ( G @ ( F @ '$accessible_world' ) )
=> ! [H: '$world'] :
( ( H @ ( G @ '$accessible_world' ) )
=> ( ( H @ p8 )
& ( H @ p7 )
& ( H @ p6 )
& ( H @ p5 )
& ( H @ p4 )
& ( H @ p3 )
& ( H @ p2 )
& ( H @ p1 ) ) ) ) ) ) ) ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[2]) ).
thf(33555,plain,
$false,
inference(e,[status(thm)],[3]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : GRA076_1.002 : TPTP v9.3.1. Released v9.0.0.
% 0.00/0.08 % Command : java -Xss128m -Xmx2g -Xms1g -jar /export/starexec/sandbox/solver/bin/leo3.jar /export/starexec/sandbox/benchmark/theBenchmark.p -t 300 -p --atp eprover=/export/starexec/sandbox/solver/bin/externals/eprover --instantiate 39
% 0.14/0.40 % Computer : n006.cluster.edu
% 0.14/0.40 % Model : x86_64 x86_64
% 0.14/0.40 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.40 % Memory : 8046.5625MB
% 0.14/0.40 % OS : Linux 6.8.0-71-generic
% 0.14/0.41 % CPULimit : 300
% 0.14/0.41 % WCLimit : 300
% 0.14/0.41 % DateTime : Fri Sep 25 13:59:11 UTC 2026
% 0.14/0.41 % CPUTime :
% 0.14/0.41 Running java -Xss128m -Xmx2g -Xms1g -jar /export/starexec/sandbox/solver/bin/leo3.jar /export/starexec/sandbox/benchmark/theBenchmark.p -t 300 -p --atp eprover=/export/starexec/sandbox/solver/bin/externals/eprover --instantiate 39
% 0.87/0.96 % [INFO] Parsing problem /export/starexec/sandbox/benchmark/theBenchmark.p ...
% 1.28/1.15 % [INFO] Parsing done (185ms).
% 1.28/1.17 % [INFO] Input problem is non-classical (logic $modal). Running HOL transformation from semantics specification contained in the problem file ...
% 1.28/1.19 %%% First-order logic specification detected, trying modal-logic-to-TXF embedding (redirected from embedding '$$modal' to embedding '$$fomlModel' version 1.3.7) ... Use flag -p FORCE_HIGHERORDER if you want to have THF output instead.
% 1.46/1.29 % [INFO] Running in sequential loop mode.
% 2.28/1.65 % [INFO] eprover registered as external prover.
% 2.28/1.66 % [INFO] Scanning for conjecture ...
% 2.70/1.83 % [INFO] Found a conjecture (or negated_conjecture) and 0 axioms. Running axiom selection ...
% 2.93/1.90 % [INFO] Axiom selection finished. Selected 0 axioms (removed 0 axioms).
% 2.93/1.90 % [INFO] Problem is typed first-order (TPTP TFF).
% 2.93/1.92 % [INFO] Type checking passed.
% 2.93/1.92 % [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 ...
% 62.62/13.64 % External prover 'e' found a proof!
% 62.62/13.64 % [INFO] Killing All external provers ...
% 62.62/13.65 % Time passed: 13101ms (effective reasoning time: 12352ms)
% 62.62/13.65 % 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)>
% 62.62/13.65 % Axioms used in derivation (0):
% 62.62/13.65 % No. of inferences in proof: 4
% 62.62/13.65 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p : 13101 ms resp. 12352 ms w/o parsing
% 53.36/13.70 % SZS output start Refutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% See solution above
% 53.36/13.70 % [INFO] Killing All external provers ...
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