%------------------------------------------------------------------------------
% File : Leo-III---1.8.0
% Problem : ITP001+1 : TPTP v9.3.1. Bugfixed v7.5.0.
% 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 : n002.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 07:35:19 AM UTC 2026
% Result : Theorem 4.88s 2.76s
% Output : Refutation 4.88s
% Verified :
% SZS Type : Refutation
% Derivation depth : 4
% Number of leaves : 2
% Syntax : Number of formulae : 7 ( 7 unt; 0 typ; 0 def)
% Number of atoms : 7 ( 0 equ; 0 cnn)
% Maximal formula atoms : 1 ( 1 avg)
% Number of connectives : 17 ( 2 ~; 0 |; 0 &; 15 @)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 5 ( 3 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 0 ( 0 >; 0 *; 0 +; 0 <<)
% Number of symbols : 5 ( 4 usr; 3 con; 0-2 aty)
% Number of variables : 0 ( 0 ^; 0 !; 0 ?; 0 :)
% Comments :
%------------------------------------------------------------------------------
thf(p_decl,type,
p: $i > $o ).
thf(s_decl,type,
s: $i > $i > $i ).
thf(tyop_2Emin_2Ebool_decl,type,
tyop_2Emin_2Ebool: $i ).
thf(c_2Ebool_2ET_2E0_decl,type,
c_2Ebool_2ET_2E0: $i ).
thf(13,axiom,
c_2Ebool_2ET_2E0 @ ( tyop_2Emin_2Ebool @ s ) @ p,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',reserved_2Eho_2Etruth) ).
thf(80,plain,
c_2Ebool_2ET_2E0 @ ( tyop_2Emin_2Ebool @ s ) @ p,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[13]) ).
thf(1,conjecture,
c_2Ebool_2ET_2E0 @ ( tyop_2Emin_2Ebool @ s ) @ p,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',thm_2Ebool_2ETRUTH) ).
thf(2,negated_conjecture,
~ ( c_2Ebool_2ET_2E0 @ ( tyop_2Emin_2Ebool @ s ) @ p ),
inference(neg_conjecture,[status(cth)],[1]) ).
thf(26,plain,
~ ( c_2Ebool_2ET_2E0 @ ( tyop_2Emin_2Ebool @ s ) @ p ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[2]) ).
thf(147,plain,
$false,
inference(rewrite,[status(thm)],[80,26]) ).
thf(148,plain,
$false,
inference(simp,[status(thm)],[147]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : ITP001+1 : TPTP v9.3.1. Bugfixed v7.5.0.
% 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
% 0.16/0.41 % Computer : n002.cluster.edu
% 0.16/0.41 % Model : x86_64 x86_64
% 0.16/0.41 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.16/0.41 % Memory : 8046.5625MB
% 0.16/0.41 % OS : Linux 6.8.0-71-generic
% 0.16/0.41 % CPULimit : 300
% 0.16/0.41 % WCLimit : 300
% 0.16/0.41 % DateTime : Fri Sep 25 17:00:54 UTC 2026
% 0.16/0.41 % CPUTime :
% 0.16/0.41 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
% 0.84/0.99 % [INFO] Parsing problem /export/starexec/sandbox/benchmark/theBenchmark.p ...
% 1.20/1.19 % [INFO] Parsing done (202ms).
% 1.41/1.21 % [INFO] Running in sequential loop mode.
% 2.06/1.60 % [INFO] eprover registered as external prover.
% 2.06/1.61 % [INFO] Scanning for conjecture ...
% 2.25/1.71 % [INFO] Found a conjecture (or negated_conjecture) and 23 axioms. Running axiom selection ...
% 2.25/1.78 % [INFO] Axiom selection finished. Selected 23 axioms (removed 0 axioms).
% 2.41/1.87 % [INFO] Problem is first-order (TPTP FOF).
% 2.41/1.87 % [INFO] Type checking passed.
% 2.41/1.88 % [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 ...
% 4.88/2.75 % [INFO] Killing All external provers ...
% 4.88/2.76 % Time passed: 2194ms (effective reasoning time: 1544ms)
% 4.88/2.76 % 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)>
% 4.88/2.76 % Axioms used in derivation (1): reserved_2Eho_2Etruth
% 4.88/2.76 % No. of inferences in proof: 7
% 4.88/2.76 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p : 2194 ms resp. 1544 ms w/o parsing
% 4.88/2.79 % SZS output start Refutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% See solution above
% 4.88/2.79 % [INFO] Killing All external provers ...
%------------------------------------------------------------------------------