%------------------------------------------------------------------------------
% File : Leo-III---1.8.0
% Problem : SWV059+1 : TPTP v9.3.1. Bugfixed v3.3.0.
% 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 : n008.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 08:58:02 AM UTC 2026
% Result : Theorem 7.80s 2.61s
% Output : Refutation 7.80s
% Verified :
% SZS Type : Refutation
% Derivation depth : 7
% Number of leaves : 2
% Syntax : Number of formulae : 10 ( 5 unt; 0 typ; 0 def)
% Number of atoms : 31 ( 0 equ; 0 cnn)
% Maximal formula atoms : 9 ( 3 avg)
% Number of connectives : 83 ( 14 ~; 5 |; 7 &; 48 @)
% ( 0 <=>; 9 =>; 0 <=; 0 <~>)
% Maximal formula depth : 10 ( 5 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 0 ( 0 >; 0 *; 0 +; 0 <<)
% Number of symbols : 9 ( 8 usr; 6 con; 0-2 aty)
% Number of variables : 0 ( 0 ^; 0 !; 0 ?; 0 :)
% Comments :
%------------------------------------------------------------------------------
thf(geq_decl,type,
geq: $i > $i > $o ).
thf(pv72_decl,type,
pv72: $i ).
thf(tptp_float_0_001_decl,type,
tptp_float_0_001: $i ).
thf(gt_decl,type,
gt: $i > $i > $o ).
thf(plus_decl,type,
plus: $i > $i > $i ).
thf(n1_decl,type,
n1: $i ).
thf(loopcounter_decl,type,
loopcounter: $i ).
thf(true_decl,type,
true: $o ).
thf(48,axiom,
true,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ttrue) ).
thf(463,plain,
true,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[48]) ).
thf(1,conjecture,
( ( tptp_float_0_001 @ ( pv72 @ geq ) )
=> ( ( ( n1 @ ( loopcounter @ ( n1 @ plus ) @ gt ) )
=> true )
& ( ~ ( n1 @ ( loopcounter @ ( n1 @ plus ) @ gt ) )
=> true ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cl5_nebula_norm_0049) ).
thf(2,negated_conjecture,
~ ( ( tptp_float_0_001 @ ( pv72 @ geq ) )
=> ( ( ( n1 @ ( loopcounter @ ( n1 @ plus ) @ gt ) )
=> true )
& ( ~ ( n1 @ ( loopcounter @ ( n1 @ plus ) @ gt ) )
=> true ) ) ),
inference(neg_conjecture,[status(cth)],[1]) ).
thf(86,plain,
~ ( ( tptp_float_0_001 @ ( pv72 @ geq ) )
=> ( ( ( n1 @ ( loopcounter @ ( n1 @ plus ) @ gt ) )
=> true )
& ( ~ ( n1 @ ( loopcounter @ ( n1 @ plus ) @ gt ) )
=> true ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[2]) ).
thf(87,plain,
( ( ~ true
| ~ true )
& ( ( n1 @ ( loopcounter @ ( n1 @ plus ) @ gt ) )
| ~ true )
& ( ~ true
| ~ ( n1 @ ( loopcounter @ ( n1 @ plus ) @ gt ) ) )
& ( ( n1 @ ( loopcounter @ ( n1 @ plus ) @ gt ) )
| ~ ( n1 @ ( loopcounter @ ( n1 @ plus ) @ gt ) ) )
& ( tptp_float_0_001 @ ( pv72 @ geq ) ) ),
inference(cnf,[status(esa)],[86]) ).
thf(91,plain,
( ~ true
| ~ true ),
inference(cnfConj,[status(thm)],[87]) ).
thf(93,plain,
~ true,
inference(simp,[status(thm)],[91]) ).
thf(550,plain,
$false,
inference(rewrite,[status(thm)],[463,93]) ).
thf(551,plain,
$false,
inference(simp,[status(thm)],[550]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SWV059+1 : TPTP v9.3.1. Bugfixed v3.3.0.
% 0.00/0.07 % 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
% 0.13/0.39 % Computer : n008.cluster.edu
% 0.13/0.39 % Model : x86_64 x86_64
% 0.13/0.39 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.39 % Memory : 8046.5625MB
% 0.13/0.39 % OS : Linux 6.8.0-71-generic
% 0.13/0.39 % CPULimit : 300
% 0.13/0.39 % WCLimit : 300
% 0.13/0.39 % DateTime : Sat Sep 26 13:10:55 UTC 2026
% 0.13/0.40 % CPUTime :
% 0.13/0.40 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
% 0.70/0.71 % [INFO] Parsing problem /export/starexec/sandbox/benchmark/theBenchmark.p ...
% 0.93/0.86 % [INFO] Parsing done (156ms).
% 0.93/0.87 % [INFO] Running in sequential loop mode.
% 1.78/1.08 % [INFO] eprover registered as external prover.
% 1.78/1.09 % [INFO] Scanning for conjecture ...
% 2.08/1.15 % [INFO] Found a conjecture (or negated_conjecture) and 84 axioms. Running axiom selection ...
% 2.25/1.21 % [INFO] Axiom selection finished. Selected 83 axioms (removed 1 axioms).
% 2.60/1.30 % [INFO] Problem is first-order (TPTP FOF).
% 2.60/1.31 % [INFO] Type checking passed.
% 2.60/1.31 % [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 ...
% 7.80/2.60 % [INFO] Killing All external provers ...
% 7.80/2.61 % Time passed: 2117ms (effective reasoning time: 1729ms)
% 7.80/2.61 % 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)>
% 7.80/2.61 % Axioms used in derivation (1): ttrue
% 7.80/2.61 % No. of inferences in proof: 10
% 7.80/2.61 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p : 2117 ms resp. 1729 ms w/o parsing
% 7.80/2.64 % SZS output start Refutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% See solution above
% 7.80/2.64 % [INFO] Killing All external provers ...
%------------------------------------------------------------------------------