%------------------------------------------------------------------------------
% File : Leo-III---1.8.0
% Problem : SYN165-1 : TPTP v9.3.1. Released v1.1.0.
% 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 : n013.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 09:16:55 AM UTC 2026
% Result : Unsatisfiable 20.46s 6.13s
% Output : Refutation 20.46s
% Verified :
% SZS Type : Refutation
% Derivation depth : 4
% Number of leaves : 3
% Syntax : Number of formulae : 10 ( 6 unt; 0 typ; 0 def)
% Number of atoms : 14 ( 0 equ; 0 cnn)
% Maximal formula atoms : 2 ( 1 avg)
% Number of connectives : 34 ( 7 ~; 4 |; 0 &; 23 @)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 6 ( 4 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 0 ( 0 >; 0 *; 0 +; 0 <<)
% Number of symbols : 5 ( 3 usr; 3 con; 0-3 aty)
% Number of variables : 3 ( 0 ^; 3 !; 0 ?; 3 :)
% Comments :
%------------------------------------------------------------------------------
thf(p1_decl,type,
p1: $i > $i > $i > $o ).
thf(a_decl,type,
a: $i ).
thf(l0_decl,type,
l0: $i > $o ).
thf(338,axiom,
( ~ ( a @ l0 )
| ( a @ ( a @ ( a @ p1 ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',rule_088) ).
thf(1007,plain,
( ~ ( a @ l0 )
| ( a @ ( a @ ( a @ p1 ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[338]) ).
thf(1008,plain,
( ~ ( a @ l0 )
| ( a @ ( a @ ( a @ p1 ) ) ) ),
inference(cnf,[status(esa)],[1007]) ).
thf(1,negated_conjecture,
! [A: $i] :
~ ( A @ ( a @ ( A @ p1 ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this) ).
thf(370,plain,
! [A: $i] :
~ ( A @ ( a @ ( A @ p1 ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[1]) ).
thf(371,plain,
! [A: $i] :
~ ( A @ ( a @ ( A @ p1 ) ) ),
inference(polarity_switch,[status(thm)],[370]) ).
thf(324,axiom,
a @ l0,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_20) ).
thf(982,plain,
a @ l0,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[324]) ).
thf(1434,plain,
( ~ $true
| $false ),
inference(rewrite,[status(thm)],[1008,371,982]) ).
thf(1435,plain,
$false,
inference(simp,[status(thm)],[1434]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : SYN165-1 : TPTP v9.3.1. Released v1.1.0.
% 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
% 0.13/0.39 % Computer : n013.cluster.edu
% 0.13/0.39 % Model : x86_64 x86_64
% 0.13/0.39 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.39 % Memory : 8046.5625MB
% 0.13/0.39 % OS : Linux 6.8.0-71-generic
% 0.13/0.39 % CPULimit : 300
% 0.13/0.39 % WCLimit : 300
% 0.13/0.39 % DateTime : Sat Sep 26 17:17:13 UTC 2026
% 0.13/0.39 % CPUTime :
% 0.13/0.39 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
% 0.88/0.99 % [INFO] Parsing problem /export/starexec/sandbox/benchmark/theBenchmark.p ...
% 1.91/1.30 % [INFO] Parsing done (315ms).
% 1.91/1.32 % [INFO] Running in sequential loop mode.
% 2.72/1.71 % [INFO] eprover registered as external prover.
% 2.72/1.71 % [INFO] Scanning for conjecture ...
% 2.91/1.86 % [INFO] Found a conjecture (or negated_conjecture) and 368 axioms. Running axiom selection ...
% 3.14/2.03 % [INFO] Axiom selection finished. Selected 368 axioms (removed 0 axioms).
% 4.15/2.21 % [INFO] Problem is propositional (TPTP CNF).
% 4.15/2.22 % [INFO] Type checking passed.
% 4.15/2.23 % [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 ...
% 20.14/6.12 % [INFO] Killing All external provers ...
% 20.46/6.13 % Time passed: 5587ms (effective reasoning time: 4802ms)
% 20.46/6.13 % Axioms used in derivation (2): rule_088, axiom_20
% 20.46/6.13 % No. of inferences in proof: 10
% 20.46/6.13 % SZS status Unsatisfiable for /export/starexec/sandbox/benchmark/theBenchmark.p : 5587 ms resp. 4802 ms w/o parsing
% 20.46/6.16 % SZS output start Refutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% See solution above
% 20.46/6.16 % [INFO] Killing All external provers ...
%------------------------------------------------------------------------------