%------------------------------------------------------------------------------
% File : Leo-III---1.8.0
% Problem : SWV119+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 : n005.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 08:58:11 AM UTC 2026
% Result : Theorem 12.07s 4.89s
% Output : Refutation 12.49s
% 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 : 21 ( 0 equ; 0 cnn)
% Maximal formula atoms : 4 ( 2 avg)
% Number of connectives : 56 ( 4 ~; 0 |; 6 &; 40 @)
% ( 0 <=>; 6 =>; 0 <=; 0 <~>)
% Maximal formula depth : 7 ( 4 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 0 ( 0 >; 0 *; 0 +; 0 <<)
% Number of symbols : 11 ( 10 usr; 7 con; 0-2 aty)
% Number of variables : 0 ( 0 ^; 0 !; 0 ?; 0 :)
% Comments :
%------------------------------------------------------------------------------
thf(leq_decl,type,
leq: $i > $i > $o ).
thf(n0_decl,type,
n0: $i ).
thf(pv49_decl,type,
pv49: $i ).
thf(minus_decl,type,
minus: $i > $i > $i ).
thf(n6_decl,type,
n6: $i ).
thf(n1_decl,type,
n1: $i ).
thf(lt_decl,type,
lt: $i > $i > $o ).
thf(a_select2_decl,type,
a_select2: $i > $i > $i ).
thf(sigma_decl,type,
sigma: $i ).
thf(true_decl,type,
true: $o ).
thf(51,axiom,
true,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ttrue) ).
thf(335,plain,
true,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[51]) ).
thf(1,conjecture,
( ( ( n1 @ ( n6 @ minus ) @ ( pv49 @ leq ) )
& ( pv49 @ ( n0 @ leq ) ) )
=> ( ( pv49 @ ( sigma @ a_select2 ) @ ( n0 @ lt ) )
=> true ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',quaternion_ds1_symm_0012) ).
thf(2,negated_conjecture,
~ ( ( ( n1 @ ( n6 @ minus ) @ ( pv49 @ leq ) )
& ( pv49 @ ( n0 @ leq ) ) )
=> ( ( pv49 @ ( sigma @ a_select2 ) @ ( n0 @ lt ) )
=> true ) ),
inference(neg_conjecture,[status(cth)],[1]) ).
thf(95,plain,
~ ( ( ( n1 @ ( n6 @ minus ) @ ( pv49 @ leq ) )
& ( pv49 @ ( n0 @ leq ) ) )
=> ( ( pv49 @ ( sigma @ a_select2 ) @ ( n0 @ lt ) )
=> true ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[2]) ).
thf(96,plain,
( ~ true
& ( pv49 @ ( sigma @ a_select2 ) @ ( n0 @ lt ) )
& ( n1 @ ( n6 @ minus ) @ ( pv49 @ leq ) )
& ( pv49 @ ( n0 @ leq ) ) ),
inference(cnf,[status(esa)],[95]) ).
thf(100,plain,
~ true,
inference(cnfConj,[status(thm)],[96]) ).
thf(569,plain,
$false,
inference(rewrite,[status(thm)],[335,100]) ).
thf(570,plain,
$false,
inference(simp,[status(thm)],[569]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SWV119+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
% 0.13/0.60 % Computer : n005.cluster.edu
% 0.13/0.60 % Model : x86_64 x86_64
% 0.13/0.60 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.60 % Memory : 8046.5625MB
% 0.13/0.60 % OS : Linux 6.8.0-71-generic
% 0.13/0.60 % CPULimit : 300
% 0.13/0.60 % WCLimit : 300
% 0.13/0.60 % DateTime : Sat Sep 26 13:13:02 UTC 2026
% 0.13/0.60 % CPUTime :
% 0.13/0.60 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
% 0.92/1.18 % [INFO] Parsing problem /export/starexec/sandbox/benchmark/theBenchmark.p ...
% 1.47/1.44 % [INFO] Parsing done (259ms).
% 1.47/1.46 % [INFO] Running in sequential loop mode.
% 2.40/1.86 % [INFO] eprover registered as external prover.
% 2.40/1.87 % [INFO] Scanning for conjecture ...
% 2.70/1.98 % [INFO] Found a conjecture (or negated_conjecture) and 93 axioms. Running axiom selection ...
% 3.01/2.13 % [INFO] Axiom selection finished. Selected 92 axioms (removed 1 axioms).
% 3.76/2.36 % [INFO] Problem is first-order (TPTP FOF).
% 3.76/2.39 % [INFO] Type checking passed.
% 3.76/2.39 % [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 ...
% 12.07/4.88 % [INFO] Killing All external provers ...
% 12.07/4.88 % Time passed: 4140ms (effective reasoning time: 3414ms)
% 12.07/4.88 % 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)>
% 12.07/4.89 % Axioms used in derivation (1): ttrue
% 12.07/4.89 % No. of inferences in proof: 9
% 12.07/4.89 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p : 4140 ms resp. 3414 ms w/o parsing
% 12.49/4.93 % SZS output start Refutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% See solution above
% 12.49/4.93 % [INFO] Killing All external provers ...
%------------------------------------------------------------------------------