%------------------------------------------------------------------------------
% File : Leo-III---1.8.0
% Problem : SYN237-1 : TPTP v9.3.1. Released v1.1.0.
% 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 : n018.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 09:17:02 AM UTC 2026
% Result : Unsatisfiable 29.10s 8.51s
% Output : Refutation 29.10s
% 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(m1_decl,type,
m1: $i > $i > $i > $o ).
thf(e_decl,type,
e: $i ).
thf(r0_decl,type,
r0: $i > $o ).
thf(342,axiom,
( ~ ( e @ r0 )
| ( e @ ( e @ ( e @ m1 ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rule_012) ).
thf(1014,plain,
( ~ ( e @ r0 )
| ( e @ ( e @ ( e @ m1 ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[342]) ).
thf(1015,plain,
( ~ ( e @ r0 )
| ( e @ ( e @ ( e @ m1 ) ) ) ),
inference(cnf,[status(esa)],[1014]) ).
thf(322,axiom,
e @ r0,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_13) ).
thf(977,plain,
e @ r0,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[322]) ).
thf(1,negated_conjecture,
! [A: $i] :
~ ( e @ ( A @ ( A @ m1 ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this) ).
thf(370,plain,
! [A: $i] :
~ ( e @ ( A @ ( A @ m1 ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[1]) ).
thf(371,plain,
! [A: $i] :
~ ( e @ ( A @ ( A @ m1 ) ) ),
inference(polarity_switch,[status(thm)],[370]) ).
thf(2817,plain,
( ~ $true
| $false ),
inference(rewrite,[status(thm)],[1015,977,371]) ).
thf(2818,plain,
$false,
inference(simp,[status(thm)],[2817]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SYN237-1 : TPTP v9.3.1. Released v1.1.0.
% 0.00/0.08 % 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
% 0.14/0.41 % Computer : n018.cluster.edu
% 0.14/0.41 % Model : x86_64 x86_64
% 0.14/0.41 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.41 % Memory : 8046.5625MB
% 0.14/0.41 % OS : Linux 6.8.0-71-generic
% 0.14/0.41 % CPULimit : 300
% 0.14/0.41 % WCLimit : 300
% 0.14/0.41 % DateTime : Sat Sep 26 17:27:23 UTC 2026
% 0.14/0.41 % CPUTime :
% 0.14/0.41 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
% 1.32/1.23 % [INFO] Parsing problem /export/starexec/sandbox2/benchmark/theBenchmark.p ...
% 2.51/1.63 % [INFO] Parsing done (387ms).
% 2.51/1.65 % [INFO] Running in sequential loop mode.
% 4.23/2.24 % [INFO] eprover registered as external prover.
% 4.23/2.26 % [INFO] Scanning for conjecture ...
% 4.63/2.47 % [INFO] Found a conjecture (or negated_conjecture) and 368 axioms. Running axiom selection ...
% 5.61/2.72 % [INFO] Axiom selection finished. Selected 368 axioms (removed 0 axioms).
% 6.36/3.00 % [INFO] Problem is propositional (TPTP CNF).
% 6.36/3.01 % [INFO] Type checking passed.
% 6.36/3.02 % [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 ...
% 29.10/8.51 % [INFO] Killing All external provers ...
% 29.10/8.51 % Time passed: 7898ms (effective reasoning time: 6852ms)
% 29.10/8.51 % Axioms used in derivation (2): rule_012, axiom_13
% 29.10/8.51 % No. of inferences in proof: 10
% 29.10/8.51 % SZS status Unsatisfiable for /export/starexec/sandbox2/benchmark/theBenchmark.p : 7898 ms resp. 6852 ms w/o parsing
% 29.10/8.54 % SZS output start Refutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% See solution above
% 29.10/8.54 % [INFO] Killing All external provers ...
%------------------------------------------------------------------------------