%------------------------------------------------------------------------------
% File : Leo-III---1.8.0
% Problem : SWC026-1 : TPTP v9.3.1. Released v2.4.0.
% 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 : n019.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 08:51:52 AM UTC 2026
% Result : Unsatisfiable 14.77s 5.77s
% Output : Refutation 15.30s
% Verified :
% SZS Type : Refutation
% Derivation depth : 10
% Number of leaves : 6
% Syntax : Number of formulae : 32 ( 10 unt; 0 typ; 0 def)
% Number of atoms : 56 ( 55 equ; 0 cnn)
% Maximal formula atoms : 4 ( 1 avg)
% Number of connectives : 49 ( 25 ~; 24 |; 0 &; 0 @)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 5 ( 2 avg)
% Number of types : 1 ( 0 usr)
% Number of type conns : 0 ( 0 >; 0 *; 0 +; 0 <<)
% Number of symbols : 7 ( 5 usr; 6 con; 0-2 aty)
% Number of variables : 0 ( 0 ^; 0 !; 0 ?; 0 :)
% Comments :
%------------------------------------------------------------------------------
thf(sk1_decl,type,
sk1: $i ).
thf(sk2_decl,type,
sk2: $i ).
thf(sk3_decl,type,
sk3: $i ).
thf(sk4_decl,type,
sk4: $i ).
thf(nil_decl,type,
nil: $i ).
thf(7,negated_conjecture,
( ( nil != sk3 )
| ( nil = sk4 ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1_7) ).
thf(205,plain,
( ( nil != sk3 )
| ( nil = sk4 ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[7]) ).
thf(213,plain,
( ( nil != sk3 )
| ( nil = sk4 ) ),
inference(cnf,[status(esa)],[205]) ).
thf(214,plain,
( ( nil != sk3 )
| ( nil = sk4 ) ),
inference(lifteq,[status(thm)],[213]) ).
thf(6,negated_conjecture,
sk1 = sk3,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1_6) ).
thf(201,plain,
sk1 = sk3,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[6]) ).
thf(212,plain,
sk3 = sk1,
inference(lifteq,[status(thm)],[201]) ).
thf(5,negated_conjecture,
sk2 = sk4,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1_5) ).
thf(198,plain,
sk2 = sk4,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[5]) ).
thf(219,plain,
sk4 = sk2,
inference(lifteq,[status(thm)],[198]) ).
thf(646,plain,
( ( nil != sk1 )
| ( nil = sk2 ) ),
inference(rewrite,[status(thm)],[214,212,219]) ).
thf(9,negated_conjecture,
( ( nil = sk1 )
| ( nil = sk2 ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1_9) ).
thf(202,plain,
( ( nil = sk1 )
| ( nil = sk2 ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[9]) ).
thf(210,plain,
( ( nil = sk1 )
| ( nil = sk2 ) ),
inference(cnf,[status(esa)],[202]) ).
thf(211,plain,
( ( nil = sk1 )
| ( nil = sk2 ) ),
inference(lifteq,[status(thm)],[210]) ).
thf(8,negated_conjecture,
( ( nil != sk4 )
| ( nil = sk3 ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1_8) ).
thf(208,plain,
( ( nil != sk4 )
| ( nil = sk3 ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[8]) ).
thf(217,plain,
( ( nil != sk4 )
| ( nil = sk3 ) ),
inference(cnf,[status(esa)],[208]) ).
thf(218,plain,
( ( nil != sk4 )
| ( nil = sk3 ) ),
inference(lifteq,[status(thm)],[217]) ).
thf(668,plain,
( ( nil != sk2 )
| ( nil = sk1 ) ),
inference(rewrite,[status(thm)],[218,212,219]) ).
thf(669,plain,
( ( nil != nil )
| ( sk2 != sk2 )
| ( nil = sk1 )
| ( nil = sk1 ) ),
inference(paramod_ordered,[status(thm)],[211,668]) ).
thf(670,plain,
( ( nil != nil )
| ( nil = sk1 ) ),
inference(simp,[status(thm)],[669]) ).
thf(671,plain,
nil = sk1,
inference(pattern_uni,[status(thm)],[670:[]]) ).
thf(676,plain,
( ( sk1 != sk1 )
| ( sk2 = sk1 ) ),
inference(rewrite,[status(thm)],[646,671]) ).
thf(677,plain,
sk2 = sk1,
inference(simp,[status(thm)],[676]) ).
thf(12,negated_conjecture,
( ( nil != sk2 )
| ( nil != sk1 ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1_12) ).
thf(204,plain,
( ( nil != sk2 )
| ( nil != sk1 ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[12]) ).
thf(215,plain,
( ( nil != sk2 )
| ( nil != sk1 ) ),
inference(cnf,[status(esa)],[204]) ).
thf(216,plain,
( ( nil != sk2 )
| ( nil != sk1 ) ),
inference(lifteq,[status(thm)],[215]) ).
thf(674,plain,
( ( sk2 != sk1 )
| ( sk1 != sk1 ) ),
inference(rewrite,[status(thm)],[216,671]) ).
thf(675,plain,
sk2 != sk1,
inference(simp,[status(thm)],[674]) ).
thf(700,plain,
$false,
inference(simplifyReflect,[status(thm)],[677,675]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.05 % Problem : SWC026-1 : TPTP v9.3.1. Released v2.4.0.
% 0.00/0.11 % 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
% 0.21/0.48 % Computer : n019.cluster.edu
% 0.21/0.48 % Model : x86_64 x86_64
% 0.21/0.48 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.21/0.48 % Memory : 8046.5625MB
% 0.21/0.48 % OS : Linux 6.8.0-71-generic
% 0.21/0.48 % CPULimit : 300
% 0.21/0.48 % WCLimit : 300
% 0.21/0.48 % DateTime : Sat Sep 26 12:05:34 UTC 2026
% 0.21/0.48 % CPUTime :
% 0.21/0.48 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
% 1.45/1.31 % [INFO] Parsing problem /export/starexec/sandbox2/benchmark/theBenchmark.p ...
% 2.49/1.75 % [INFO] Parsing done (433ms).
% 2.49/1.77 % [INFO] Running in sequential loop mode.
% 3.57/2.34 % [INFO] eprover registered as external prover.
% 3.57/2.35 % [INFO] Scanning for conjecture ...
% 3.98/2.55 % [INFO] Found a conjecture (or negated_conjecture) and 185 axioms. Running axiom selection ...
% 4.40/2.72 % [INFO] Axiom selection finished. Selected 185 axioms (removed 0 axioms).
% 5.09/2.94 % [INFO] Problem is propositional (TPTP CNF).
% 5.09/2.97 % [INFO] Type checking passed.
% 5.09/2.98 % [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 ...
% 14.77/5.76 % [INFO] Killing All external provers ...
% 14.77/5.77 % Time passed: 5081ms (effective reasoning time: 3991ms)
% 14.77/5.77 % Axioms used in derivation (0):
% 14.77/5.77 % No. of inferences in proof: 32
% 14.77/5.77 % SZS status Unsatisfiable for /export/starexec/sandbox2/benchmark/theBenchmark.p : 5081 ms resp. 3991 ms w/o parsing
% 15.30/5.80 % SZS output start Refutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% See solution above
% 15.30/5.80 % [INFO] Killing All external provers ...
%------------------------------------------------------------------------------