%------------------------------------------------------------------------------
% File : Leo-III---1.8.0
% Problem : SWV107+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 : n014.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 08:58:09 AM UTC 2026
% Result : Theorem 8.55s 3.63s
% Output : Refutation 8.55s
% 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 : 45 ( 0 equ; 0 cnn)
% Maximal formula atoms : 10 ( 5 avg)
% Number of connectives : 176 ( 4 ~; 0 |; 15 &; 136 @)
% ( 0 <=>; 21 =>; 0 <=; 0 <~>)
% Maximal formula depth : 14 ( 7 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 0 ( 0 >; 0 *; 0 +; 0 <<)
% Number of symbols : 10 ( 9 usr; 8 con; 0-2 aty)
% Number of variables : 0 ( 0 ^; 0 !; 0 ?; 0 :)
% Comments :
%------------------------------------------------------------------------------
thf(geq_decl,type,
geq: $i > $i > $o ).
thf(minus_decl,type,
minus: $i > $i > $i ).
thf(n3_decl,type,
n3: $i ).
thf(n1_decl,type,
n1: $i ).
thf(n0_decl,type,
n0: $i ).
thf(n6_decl,type,
n6: $i ).
thf(n2_decl,type,
n2: $i ).
thf(n999_decl,type,
n999: $i ).
thf(true_decl,type,
true: $o ).
thf(61,axiom,
true,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ttrue) ).
thf(377,plain,
true,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[61]) ).
thf(1,conjecture,
( ( n0 @ ( n1 @ ( n3 @ minus ) @ geq ) )
=> ( ( n0 @ ( n1 @ ( n6 @ minus ) @ geq ) )
=> ( ( ( n0 @ ( n1 @ ( n999 @ minus ) @ geq ) )
& ( n0 @ ( n2 @ geq ) ) )
=> ( ( n0 @ ( n1 @ ( n6 @ minus ) @ geq ) )
=> ( ( n0 @ ( n1 @ ( n6 @ minus ) @ geq ) )
=> ( ( n0 @ ( n1 @ ( n6 @ minus ) @ geq ) )
=> ( ( ( n0 @ ( n1 @ ( n999 @ minus ) @ geq ) )
& ( n0 @ ( n1 @ ( n3 @ minus ) @ geq ) ) )
=> true ) ) ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',quaternion_ds1_inuse_0019) ).
thf(2,negated_conjecture,
~ ( ( n0 @ ( n1 @ ( n3 @ minus ) @ geq ) )
=> ( ( n0 @ ( n1 @ ( n6 @ minus ) @ geq ) )
=> ( ( ( n0 @ ( n1 @ ( n999 @ minus ) @ geq ) )
& ( n0 @ ( n2 @ geq ) ) )
=> ( ( n0 @ ( n1 @ ( n6 @ minus ) @ geq ) )
=> ( ( n0 @ ( n1 @ ( n6 @ minus ) @ geq ) )
=> ( ( n0 @ ( n1 @ ( n6 @ minus ) @ geq ) )
=> ( ( ( n0 @ ( n1 @ ( n999 @ minus ) @ geq ) )
& ( n0 @ ( n1 @ ( n3 @ minus ) @ geq ) ) )
=> true ) ) ) ) ) ) ),
inference(neg_conjecture,[status(cth)],[1]) ).
thf(103,plain,
~ ( ( n0 @ ( n1 @ ( n3 @ minus ) @ geq ) )
=> ( ( n0 @ ( n1 @ ( n6 @ minus ) @ geq ) )
=> ( ( ( n0 @ ( n1 @ ( n999 @ minus ) @ geq ) )
& ( n0 @ ( n2 @ geq ) ) )
=> ( ( n0 @ ( n1 @ ( n6 @ minus ) @ geq ) )
=> ( ( n0 @ ( n1 @ ( n6 @ minus ) @ geq ) )
=> ( ( n0 @ ( n1 @ ( n6 @ minus ) @ geq ) )
=> ( ( ( n0 @ ( n1 @ ( n999 @ minus ) @ geq ) )
& ( n0 @ ( n1 @ ( n3 @ minus ) @ geq ) ) )
=> true ) ) ) ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[2]) ).
thf(104,plain,
( ~ true
& ( n0 @ ( n1 @ ( n999 @ minus ) @ geq ) )
& ( n0 @ ( n1 @ ( n3 @ minus ) @ geq ) )
& ( n0 @ ( n1 @ ( n6 @ minus ) @ geq ) )
& ( n0 @ ( n1 @ ( n6 @ minus ) @ geq ) )
& ( n0 @ ( n1 @ ( n6 @ minus ) @ geq ) )
& ( n0 @ ( n1 @ ( n999 @ minus ) @ geq ) )
& ( n0 @ ( n2 @ geq ) )
& ( n0 @ ( n1 @ ( n6 @ minus ) @ geq ) )
& ( n0 @ ( n1 @ ( n3 @ minus ) @ geq ) ) ),
inference(cnf,[status(esa)],[103]) ).
thf(106,plain,
~ true,
inference(cnfConj,[status(thm)],[104]) ).
thf(586,plain,
$false,
inference(rewrite,[status(thm)],[377,106]) ).
thf(587,plain,
$false,
inference(simp,[status(thm)],[586]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SWV107+1 : TPTP v9.3.1. Bugfixed v3.3.0.
% 0.00/0.07 % 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
% 0.11/0.39 % Computer : n014.cluster.edu
% 0.11/0.39 % Model : x86_64 x86_64
% 0.11/0.39 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.39 % Memory : 8046.5625MB
% 0.11/0.39 % OS : Linux 6.8.0-71-generic
% 0.11/0.39 % CPULimit : 300
% 0.11/0.39 % WCLimit : 300
% 0.11/0.39 % DateTime : Sat Sep 26 13:12:48 UTC 2026
% 0.11/0.40 % CPUTime :
% 0.11/0.40 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
% 0.87/0.96 % [INFO] Parsing problem /export/starexec/sandbox2/benchmark/theBenchmark.p ...
% 1.51/1.22 % [INFO] Parsing done (261ms).
% 1.51/1.24 % [INFO] Running in sequential loop mode.
% 2.53/1.64 % [INFO] eprover registered as external prover.
% 2.53/1.65 % [INFO] Scanning for conjecture ...
% 2.75/1.77 % [INFO] Found a conjecture (or negated_conjecture) and 101 axioms. Running axiom selection ...
% 2.94/1.88 % [INFO] Axiom selection finished. Selected 100 axioms (removed 1 axioms).
% 3.23/2.02 % [INFO] Problem is first-order (TPTP FOF).
% 3.58/2.04 % [INFO] Type checking passed.
% 3.58/2.04 % [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 ...
% 8.55/3.63 % [INFO] Killing All external provers ...
% 8.55/3.63 % Time passed: 3095ms (effective reasoning time: 2385ms)
% 8.55/3.63 % 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)>
% 8.55/3.63 % Axioms used in derivation (1): ttrue
% 8.55/3.63 % No. of inferences in proof: 9
% 8.55/3.63 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p : 3095 ms resp. 2385 ms w/o parsing
% 8.55/3.65 % SZS output start Refutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% See solution above
% 8.55/3.65 % [INFO] Killing All external provers ...
%------------------------------------------------------------------------------