%------------------------------------------------------------------------------
% File : Leo-III---1.8.0
% Problem : SWV047+1 : TPTP v9.3.1. Bugfixed v3.3.0.
% Transfm : none
% Format : tptp:raw
% Command : java -Xss128m -Xmx2g -Xms1g -jar /export/starexec/sandbox2/solver/bin/leo3.jar /export/starexec/sandbox2/benchmark/theBenchmark.p -t 300 -p --atp eprover=/export/starexec/sandbox2/solver/bin/externals/eprover --instantiate 39
% Computer : n012.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 08:58:00 AM UTC 2026
% Result : Theorem 4.33s 1.96s
% Output : Refutation 4.33s
% Verified :
% SZS Type : Refutation
% Derivation depth : 6
% Number of leaves : 2
% Syntax : Number of formulae : 9 ( 5 unt; 0 typ; 0 def)
% Number of atoms : 25 ( 8 equ; 0 cnn)
% Maximal formula atoms : 5 ( 2 avg)
% Number of connectives : 172 ( 4 ~; 0 |; 13 &; 152 @)
% ( 0 <=>; 3 =>; 0 <=; 0 <~>)
% Maximal formula depth : 9 ( 4 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 0 ( 0 >; 0 *; 0 +; 0 <<)
% Number of symbols : 21 ( 19 usr; 14 con; 0-3 aty)
% Number of variables : 0 ( 0 ^; 0 !; 0 ?; 0 :)
% Comments :
%------------------------------------------------------------------------------
thf(pv78_decl,type,
pv78: $i ).
thf(sum_decl,type,
sum: $i > $i > $i > $i ).
thf(n0_decl,type,
n0: $i ).
thf(minus_decl,type,
minus: $i > $i > $i ).
thf(n135300_decl,type,
n135300: $i ).
thf(n1_decl,type,
n1: $i ).
thf(a_select3_decl,type,
a_select3: $i > $i > $i > $i ).
thf(q_decl,type,
q: $i ).
thf(pv79_decl,type,
pv79: $i ).
thf(pv35_decl,type,
pv35: $i ).
thf(pv82_decl,type,
pv82: $i ).
thf(times_decl,type,
times: $i > $i > $i ).
thf(a_select2_decl,type,
a_select2: $i > $i > $i ).
thf(x_decl,type,
x: $i ).
thf(pv83_decl,type,
pv83: $i ).
thf(mu_decl,type,
mu: $i ).
thf(leq_decl,type,
leq: $i > $i > $o ).
thf(n5_decl,type,
n5: $i ).
thf(true_decl,type,
true: $o ).
thf(44,axiom,
true,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ttrue) ).
thf(326,plain,
true,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[44]) ).
thf(1,conjecture,
( ( ( n1 @ ( n5 @ minus ) @ ( pv35 @ leq ) )
& ( pv35 @ ( n0 @ leq ) )
& ( pv82
= ( pv35 @ ( pv83 @ ( q @ a_select3 ) ) @ ( pv35 @ ( mu @ a_select2 ) @ ( pv83 @ ( x @ a_select2 ) @ minus ) @ times ) @ ( pv35 @ ( mu @ a_select2 ) @ ( pv83 @ ( x @ a_select2 ) @ minus ) @ times ) @ ( n1 @ ( n135300 @ minus ) @ ( n0 @ sum ) ) ) )
& ( pv78
= ( pv35 @ ( pv79 @ ( q @ a_select3 ) ) @ ( n1 @ ( n135300 @ minus ) @ ( n0 @ sum ) ) ) ) )
=> true ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cl5_nebula_norm_0013) ).
thf(2,negated_conjecture,
~ ( ( ( n1 @ ( n5 @ minus ) @ ( pv35 @ leq ) )
& ( pv35 @ ( n0 @ leq ) )
& ( pv82
= ( pv35 @ ( pv83 @ ( q @ a_select3 ) ) @ ( pv35 @ ( mu @ a_select2 ) @ ( pv83 @ ( x @ a_select2 ) @ minus ) @ times ) @ ( pv35 @ ( mu @ a_select2 ) @ ( pv83 @ ( x @ a_select2 ) @ minus ) @ times ) @ ( n1 @ ( n135300 @ minus ) @ ( n0 @ sum ) ) ) )
& ( pv78
= ( pv35 @ ( pv79 @ ( q @ a_select3 ) ) @ ( n1 @ ( n135300 @ minus ) @ ( n0 @ sum ) ) ) ) )
=> true ),
inference(neg_conjecture,[status(cth)],[1]) ).
thf(93,plain,
~ ( ( ( n1 @ ( n5 @ minus ) @ ( pv35 @ leq ) )
& ( pv35 @ ( n0 @ leq ) )
& ( pv82
= ( pv35 @ ( pv83 @ ( q @ a_select3 ) ) @ ( pv35 @ ( mu @ a_select2 ) @ ( pv83 @ ( x @ a_select2 ) @ minus ) @ times ) @ ( pv35 @ ( mu @ a_select2 ) @ ( pv83 @ ( x @ a_select2 ) @ minus ) @ times ) @ ( n1 @ ( n135300 @ minus ) @ ( n0 @ sum ) ) ) )
& ( pv78
= ( pv35 @ ( pv79 @ ( q @ a_select3 ) ) @ ( n1 @ ( n135300 @ minus ) @ ( n0 @ sum ) ) ) ) )
=> true ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[2]) ).
thf(94,plain,
( ~ true
& ( n1 @ ( n5 @ minus ) @ ( pv35 @ leq ) )
& ( pv35 @ ( n0 @ leq ) )
& ( pv82
= ( pv35 @ ( pv83 @ ( q @ a_select3 ) ) @ ( pv35 @ ( mu @ a_select2 ) @ ( pv83 @ ( x @ a_select2 ) @ minus ) @ times ) @ ( pv35 @ ( mu @ a_select2 ) @ ( pv83 @ ( x @ a_select2 ) @ minus ) @ times ) @ ( n1 @ ( n135300 @ minus ) @ ( n0 @ sum ) ) ) )
& ( pv78
= ( pv35 @ ( pv79 @ ( q @ a_select3 ) ) @ ( n1 @ ( n135300 @ minus ) @ ( n0 @ sum ) ) ) ) ),
inference(cnf,[status(esa)],[93]) ).
thf(99,plain,
~ true,
inference(cnfConj,[status(thm)],[94]) ).
thf(565,plain,
$false,
inference(rewrite,[status(thm)],[326,99]) ).
thf(566,plain,
$false,
inference(simp,[status(thm)],[565]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.01 % Problem : SWV047+1 : TPTP v9.3.1. Bugfixed v3.3.0.
% 0.00/0.04 % Command : java -Xss128m -Xmx2g -Xms1g -jar /export/starexec/sandbox2/solver/bin/leo3.jar /export/starexec/sandbox2/benchmark/theBenchmark.p -t 300 -p --atp eprover=/export/starexec/sandbox2/solver/bin/externals/eprover --instantiate 39
% 0.06/0.31 % Computer : n012.cluster.edu
% 0.06/0.31 % Model : x86_64 x86_64
% 0.06/0.31 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.06/0.31 % Memory : 8046.5625MB
% 0.06/0.31 % OS : Linux 6.8.0-71-generic
% 0.06/0.31 % CPULimit : 300
% 0.06/0.31 % WCLimit : 300
% 0.06/0.31 % DateTime : Sat Sep 26 13:09:05 UTC 2026
% 0.06/0.32 % CPUTime :
% 0.06/0.32 Running java -Xss128m -Xmx2g -Xms1g -jar /export/starexec/sandbox2/solver/bin/leo3.jar /export/starexec/sandbox2/benchmark/theBenchmark.p -t 300 -p --atp eprover=/export/starexec/sandbox2/solver/bin/externals/eprover --instantiate 39
% 0.51/0.67 % [INFO] Parsing problem /export/starexec/sandbox2/benchmark/theBenchmark.p ...
% 0.65/0.79 % [INFO] Parsing done (120ms).
% 0.94/0.80 % [INFO] Running in sequential loop mode.
% 1.16/0.98 % [INFO] eprover registered as external prover.
% 1.16/0.99 % [INFO] Scanning for conjecture ...
% 1.36/1.05 % [INFO] Found a conjecture (or negated_conjecture) and 91 axioms. Running axiom selection ...
% 1.36/1.10 % [INFO] Axiom selection finished. Selected 90 axioms (removed 1 axioms).
% 1.59/1.17 % [INFO] Problem is first-order (TPTP FOF).
% 1.59/1.18 % [INFO] Type checking passed.
% 1.59/1.18 % [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 ...
% 4.33/1.96 % [INFO] Killing All external provers ...
% 4.33/1.96 % Time passed: 1524ms (effective reasoning time: 1156ms)
% 4.33/1.96 % 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)>
% 4.33/1.96 % Axioms used in derivation (1): ttrue
% 4.33/1.96 % No. of inferences in proof: 9
% 4.33/1.96 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p : 1524 ms resp. 1156 ms w/o parsing
% 4.33/1.98 % SZS output start Refutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% See solution above
% 4.33/1.98 % [INFO] Killing All external provers ...
%------------------------------------------------------------------------------