%------------------------------------------------------------------------------
% File : Leo-III---1.8.0
% Problem : ITP001+4 : TPTP v9.3.1. Bugfixed v7.5.0.
% 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 : n012.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 07:35:20 AM UTC 2026
% Result : Theorem 5.23s 2.09s
% Output : Refutation 5.23s
% Verified :
% SZS Type : Refutation
% Derivation depth : 4
% Number of leaves : 2
% Syntax : Number of formulae : 7 ( 6 unt; 0 typ; 0 def)
% Number of atoms : 8 ( 1 equ; 0 cnn)
% Maximal formula atoms : 2 ( 1 avg)
% Number of connectives : 22 ( 2 ~; 0 |; 0 &; 19 @)
% ( 1 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 5 ( 4 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 0 ( 0 >; 0 *; 0 +; 0 <<)
% Number of symbols : 6 ( 4 usr; 3 con; 0-2 aty)
% Number of variables : 1 ( 0 ^; 1 !; 0 ?; 1 :)
% 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(48,axiom,
( ( c_2Ebool_2ET_2E0 @ ( tyop_2Emin_2Ebool @ s ) @ p )
<=> ! [A: $i] :
( ( A @ ( tyop_2Emin_2Ebool @ s ) )
= ( A @ ( tyop_2Emin_2Ebool @ s ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',thm_2Ebool_2ET__DEF) ).
thf(346,plain,
c_2Ebool_2ET_2E0 @ ( tyop_2Emin_2Ebool @ s ) @ p,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[48]) ).
thf(1,conjecture,
c_2Ebool_2ET_2E0 @ ( tyop_2Emin_2Ebool @ s ) @ p,
file('/export/starexec/sandbox2/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(67,plain,
~ ( c_2Ebool_2ET_2E0 @ ( tyop_2Emin_2Ebool @ s ) @ p ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[2]) ).
thf(443,plain,
$false,
inference(rewrite,[status(thm)],[346,67]) ).
thf(444,plain,
$false,
inference(simp,[status(thm)],[443]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.01 % Problem : ITP001+4 : TPTP v9.3.1. Bugfixed v7.5.0.
% 0.00/0.04 % 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
% 0.04/0.31 % Computer : n012.cluster.edu
% 0.04/0.31 % Model : x86_64 x86_64
% 0.04/0.31 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.04/0.31 % Memory : 8046.5625MB
% 0.04/0.31 % OS : Linux 6.8.0-71-generic
% 0.04/0.32 % CPULimit : 300
% 0.04/0.32 % WCLimit : 300
% 0.04/0.32 % DateTime : Fri Sep 25 16:58:21 UTC 2026
% 0.04/0.32 % CPUTime :
% 0.04/0.32 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
% 0.39/0.60 % [INFO] Parsing problem /export/starexec/sandbox2/benchmark/theBenchmark.p ...
% 0.69/0.75 % [INFO] Parsing done (152ms).
% 0.69/0.76 % [INFO] Running in sequential loop mode.
% 1.27/0.94 % [INFO] eprover registered as external prover.
% 1.27/0.95 % [INFO] Scanning for conjecture ...
% 1.53/1.02 % [INFO] Found a conjecture (or negated_conjecture) and 86 axioms. Running axiom selection ...
% 1.53/1.07 % [INFO] Axiom selection finished. Selected 64 axioms (removed 22 axioms).
% 2.28/1.20 % [INFO] Problem is first-order (TPTP FOF).
% 2.28/1.21 % [INFO] Type checking passed.
% 2.28/1.21 % [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 ...
% 5.23/2.08 % [INFO] Killing All external provers ...
% 5.23/2.08 % Time passed: 1693ms (effective reasoning time: 1322ms)
% 5.23/2.08 % 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)>
% 5.23/2.09 % Axioms used in derivation (1): thm_2Ebool_2ET__DEF
% 5.23/2.09 % No. of inferences in proof: 7
% 5.23/2.09 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p : 1693 ms resp. 1322 ms w/o parsing
% 5.23/2.10 % SZS output start Refutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% See solution above
% 5.23/2.10 % [INFO] Killing All external provers ...
%------------------------------------------------------------------------------