%------------------------------------------------------------------------------
% File : Leo-III---1.8.0
% Problem : SYN000_1 : TPTP v9.3.1. Released v5.0.0.
% 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 : 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 09:16:27 AM UTC 2026
% Result : Theorem 4.17s 2.52s
% Output : Refutation 4.17s
% Verified :
% SZS Type : Refutation
% Derivation depth : 5
% Number of leaves : 2
% Syntax : Number of formulae : 8 ( 8 unt; 0 typ; 0 def)
% Number of atoms : 8 ( 0 equ; 0 cnn)
% Maximal formula atoms : 1 ( 1 avg)
% Number of connectives : 9 ( 3 ~; 0 |; 0 &; 6 @)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 4 ( 3 avg)
% Number of types : 3 ( 1 usr)
% Number of type conns : 0 ( 0 >; 0 *; 0 +; 0 <<)
% Number of symbols : 3 ( 2 usr; 2 con; 0-1 aty)
% Number of variables : 4 ( 0 ^; 1 !; 3 ?; 4 :)
% Comments :
%------------------------------------------------------------------------------
thf(new_type,type,
new: $tType ).
thf(h_decl,type,
h: $i ).
thf(p_decl,type,
p: $i > $o ).
thf(14,axiom,
h @ p,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',role_hypothesis) ).
thf(57,plain,
h @ p,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[14]) ).
thf(1,conjecture,
? [A: $i] : ( A @ p ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',role_conjecture) ).
thf(2,negated_conjecture,
~ ? [A: $i] : ( A @ p ),
inference(neg_conjecture,[status(cth)],[1]) ).
thf(15,plain,
~ ? [A: $i] : ( A @ p ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[2]) ).
thf(16,plain,
! [A: $i] :
~ ( A @ p ),
inference(cnf,[status(esa)],[15]) ).
thf(58,plain,
$false,
inference(rewrite,[status(thm)],[57,16]) ).
thf(59,plain,
$false,
inference(simp,[status(thm)],[58]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : SYN000_1 : TPTP v9.3.1. Released v5.0.0.
% 0.00/0.07 % 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
% 0.11/0.39 % Computer : n019.cluster.edu
% 0.11/0.39 % Model : x86_64 x86_64
% 0.11/0.39 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.39 % Memory : 8046.5625MB
% 0.11/0.39 % OS : Linux 6.8.0-71-generic
% 0.11/0.39 % CPULimit : 300
% 0.11/0.39 % WCLimit : 300
% 0.11/0.39 % DateTime : Sat Sep 26 17:03:04 UTC 2026
% 0.11/0.39 % CPUTime :
% 0.11/0.39 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
% 0.85/0.97 % [INFO] Parsing problem /export/starexec/sandbox/benchmark/theBenchmark.p ...
% 1.46/1.20 % [INFO] Parsing done (227ms).
% 1.46/1.21 % [INFO] Running in sequential loop mode.
% 2.09/1.63 % [INFO] eprover registered as external prover.
% 2.09/1.64 % [INFO] Scanning for conjecture ...
% 2.28/1.74 % [INFO] Found a conjecture (or negated_conjecture) and 12 axioms. Running axiom selection ...
% 2.28/1.77 % [INFO] Axiom selection finished. Selected 12 axioms (removed 0 axioms).
% 2.45/1.81 % [INFO] Problem is typed first-order (TPTP TFF).
% 2.45/1.81 % [INFO] Type checking passed.
% 2.45/1.82 % [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 ...
% 4.17/2.51 % [INFO] Killing All external provers ...
% 4.17/2.51 % Time passed: 1972ms (effective reasoning time: 1290ms)
% 4.17/2.51 % 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)>
% 4.17/2.51 % Axioms used in derivation (1): role_hypothesis
% 4.17/2.51 % No. of inferences in proof: 8
% 4.17/2.52 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p : 1972 ms resp. 1290 ms w/o parsing
% 4.17/2.54 % SZS output start Refutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% See solution above
% 4.17/2.54 % [INFO] Killing All external provers ...
%------------------------------------------------------------------------------