%------------------------------------------------------------------------------
% File : Leo-III---1.8.0
% Problem : SWC036-1 : 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 08:51:54 AM UTC 2026
% Result : Unsatisfiable 6.67s 12.96s
% Output : Refutation 6.67s
% Verified :
% SZS Type : Refutation
% Derivation depth : 7
% Number of leaves : 5
% Syntax : Number of formulae : 22 ( 17 unt; 0 typ; 0 def)
% Number of atoms : 27 ( 26 equ; 0 cnn)
% Maximal formula atoms : 2 ( 1 avg)
% Number of connectives : 16 ( 11 ~; 5 |; 0 &; 0 @)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 3 ( 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(8,negated_conjecture,
nil != sk1,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_8) ).
thf(202,plain,
nil != sk1,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[8]) ).
thf(204,plain,
nil != sk1,
inference(polarity_switch,[status(thm)],[202]) ).
thf(205,plain,
nil != sk1,
inference(lifteq,[status(thm)],[204]) ).
thf(5,negated_conjecture,
nil = sk2,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_5) ).
thf(195,plain,
nil = sk2,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[5]) ).
thf(209,plain,
nil = sk2,
inference(lifteq,[status(thm)],[195]) ).
thf(634,plain,
sk2 != sk1,
inference(rewrite,[status(thm)],[205,209]) ).
thf(9,negated_conjecture,
( ( nil != sk4 )
| ( nil = sk3 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_9) ).
thf(198,plain,
( ( nil != sk4 )
| ( nil = sk3 ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[9]) ).
thf(207,plain,
( ( nil != sk4 )
| ( nil = sk3 ) ),
inference(cnf,[status(esa)],[198]) ).
thf(208,plain,
( ( nil != sk4 )
| ( nil = sk3 ) ),
inference(lifteq,[status(thm)],[207]) ).
thf(7,negated_conjecture,
sk1 = sk3,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_7) ).
thf(200,plain,
sk1 = sk3,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[7]) ).
thf(210,plain,
sk3 = sk1,
inference(lifteq,[status(thm)],[200]) ).
thf(6,negated_conjecture,
sk2 = sk4,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_6) ).
thf(197,plain,
sk2 = sk4,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[6]) ).
thf(206,plain,
sk4 = sk2,
inference(lifteq,[status(thm)],[197]) ).
thf(636,plain,
( ( sk2 != sk2 )
| ( sk2 = sk1 ) ),
inference(rewrite,[status(thm)],[208,209,210,206]) ).
thf(637,plain,
sk2 = sk1,
inference(simp,[status(thm)],[636]) ).
thf(641,plain,
sk1 != sk1,
inference(rewrite,[status(thm)],[634,637]) ).
thf(642,plain,
$false,
inference(simp,[status(thm)],[641]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SWC036-1 : TPTP v9.3.1. Released v2.4.0.
% 0.00/0.08 % 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
% 0.13/10.79 % Computer : n004.cluster.edu
% 0.13/10.79 % Model : x86_64 x86_64
% 0.13/10.79 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/10.79 % Memory : 8046.5625MB
% 0.13/10.79 % OS : Linux 6.8.0-71-generic
% 0.13/10.79 % CPULimit : 300
% 0.13/10.79 % WCLimit : 300
% 0.13/10.79 % DateTime : Sat Sep 26 12:07:06 UTC 2026
% 0.17/10.80 % CPUTime :
% 0.17/10.80 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
% 0.69/11.19 % [INFO] Parsing problem /export/starexec/sandbox/benchmark/theBenchmark.p ...
% 1.09/11.34 % [INFO] Parsing done (157ms).
% 1.09/11.35 % [INFO] Running in sequential loop mode.
% 1.68/11.54 % [INFO] eprover registered as external prover.
% 1.68/11.55 % [INFO] Scanning for conjecture ...
% 1.94/11.62 % [INFO] Found a conjecture (or negated_conjecture) and 185 axioms. Running axiom selection ...
% 2.28/11.71 % [INFO] Axiom selection finished. Selected 185 axioms (removed 0 axioms).
% 2.65/11.87 % [INFO] Problem is propositional (TPTP CNF).
% 2.65/11.89 % [INFO] Type checking passed.
% 2.65/11.89 % [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 ...
% 6.67/12.96 % [INFO] Killing All external provers ...
% 6.67/12.96 % Time passed: 2016ms (effective reasoning time: 1602ms)
% 6.67/12.96 % Axioms used in derivation (0):
% 6.67/12.96 % No. of inferences in proof: 22
% 6.67/12.96 % SZS status Unsatisfiable for /export/starexec/sandbox/benchmark/theBenchmark.p : 2016 ms resp. 1602 ms w/o parsing
% 6.67/12.97 % SZS output start Refutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% See solution above
% 6.67/12.97 % [INFO] Killing All external provers ...
%------------------------------------------------------------------------------