%------------------------------------------------------------------------------
% File : Leo-III---1.8.0
% Problem : SWC143-1 : TPTP v9.3.1. Released v2.4.0.
% 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 : n004.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 08:52:28 AM UTC 2026
% Result : Unsatisfiable 10.82s 4.30s
% Output : Refutation 10.82s
% Verified :
% SZS Type : Refutation
% Derivation depth : 5
% Number of leaves : 3
% Syntax : Number of formulae : 11 ( 11 unt; 0 typ; 0 def)
% Number of atoms : 11 ( 3 equ; 0 cnn)
% Maximal formula atoms : 1 ( 1 avg)
% Number of connectives : 16 ( 4 ~; 0 |; 0 &; 12 @)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 4 ( 2 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 0 ( 0 >; 0 *; 0 +; 0 <<)
% Number of symbols : 6 ( 4 usr; 4 con; 0-2 aty)
% Number of variables : 0 ( 0 ^; 0 !; 0 ?; 0 :)
% Comments :
%------------------------------------------------------------------------------
thf(sk2_decl,type,
sk2: $i ).
thf(sk4_decl,type,
sk4: $i ).
thf(neq_decl,type,
neq: $i > $i > $o ).
thf(nil_decl,type,
nil: $i ).
thf(7,negated_conjecture,
nil @ ( sk2 @ neq ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_7) ).
thf(198,plain,
nil @ ( sk2 @ neq ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[7]) ).
thf(8,negated_conjecture,
~ ( nil @ ( sk4 @ neq ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_8) ).
thf(200,plain,
~ ( nil @ ( sk4 @ neq ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[8]) ).
thf(204,plain,
~ ( nil @ ( sk4 @ neq ) ),
inference(polarity_switch,[status(thm)],[200]) ).
thf(5,negated_conjecture,
sk2 = sk4,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_5) ).
thf(194,plain,
sk2 = sk4,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[5]) ).
thf(203,plain,
sk4 = sk2,
inference(lifteq,[status(thm)],[194]) ).
thf(629,plain,
~ ( nil @ ( sk2 @ neq ) ),
inference(rewrite,[status(thm)],[204,203]) ).
thf(630,plain,
$false,
inference(rewrite,[status(thm)],[198,629]) ).
thf(631,plain,
$false,
inference(simp,[status(thm)],[630]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SWC143-1 : TPTP v9.3.1. Released v2.4.0.
% 0.00/0.10 % 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
% 0.19/0.46 % Computer : n004.cluster.edu
% 0.19/0.46 % Model : x86_64 x86_64
% 0.19/0.46 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.19/0.46 % Memory : 8046.5625MB
% 0.19/0.46 % OS : Linux 6.8.0-71-generic
% 0.19/0.46 % CPULimit : 300
% 0.19/0.46 % WCLimit : 300
% 0.19/0.46 % DateTime : Sat Sep 26 12:20:06 UTC 2026
% 0.19/0.46 % CPUTime :
% 0.19/0.46 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
% 1.13/1.05 % [INFO] Parsing problem /export/starexec/sandbox/benchmark/theBenchmark.p ...
% 1.93/1.31 % [INFO] Parsing done (253ms).
% 1.93/1.32 % [INFO] Running in sequential loop mode.
% 2.99/1.93 % [INFO] eprover registered as external prover.
% 2.99/1.94 % [INFO] Scanning for conjecture ...
% 3.33/2.13 % [INFO] Found a conjecture (or negated_conjecture) and 185 axioms. Running axiom selection ...
% 3.89/2.31 % [INFO] Axiom selection finished. Selected 185 axioms (removed 0 axioms).
% 4.56/2.53 % [INFO] Problem is propositional (TPTP CNF).
% 4.56/2.56 % [INFO] Type checking passed.
% 4.56/2.57 % [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 ...
% 10.35/4.30 % [INFO] Killing All external provers ...
% 10.82/4.30 % Time passed: 3694ms (effective reasoning time: 2969ms)
% 10.82/4.30 % Axioms used in derivation (0):
% 10.82/4.30 % No. of inferences in proof: 11
% 10.82/4.30 % SZS status Unsatisfiable for /export/starexec/sandbox/benchmark/theBenchmark.p : 3694 ms resp. 2969 ms w/o parsing
% 10.82/4.32 % SZS output start Refutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% See solution above
% 10.82/4.32 % [INFO] Killing All external provers ...
%------------------------------------------------------------------------------