%------------------------------------------------------------------------------
% File : Leo-III---1.8.0
% Problem : SYN052-1 : TPTP v9.3.1. Released v1.0.0.
% 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 : 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 09:16:37 AM UTC 2026
% Result : Unsatisfiable 3.10s 2.18s
% Output : Refutation 3.29s
% Verified :
% SZS Type : Refutation
% Derivation depth : 2
% Number of leaves : 5
% Syntax : Number of formulae : 11 ( 1 unt; 0 typ; 0 def)
% Number of atoms : 21 ( 0 equ; 0 cnn)
% Maximal formula atoms : 2 ( 1 avg)
% Number of connectives : 32 ( 10 ~; 10 |; 0 &; 12 @)
% ( 0 <=>; 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 : 4 ( 3 usr; 3 con; 0-1 aty)
% Number of variables : 8 ( 0 ^; 8 !; 0 ?; 8 :)
% Comments :
%------------------------------------------------------------------------------
thf(p_decl,type,
p: $o ).
thf(big_f_decl,type,
big_f: $i > $o ).
thf(a_decl,type,
a: $i ).
thf(4,negated_conjecture,
( ~ ( a @ big_f )
| ~ p ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause_4) ).
thf(10,plain,
( ~ ( a @ big_f )
| ~ p ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[4]) ).
thf(5,negated_conjecture,
! [A: $i] :
( ~ ( a @ big_f )
| ( A @ big_f ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause_5) ).
thf(6,plain,
! [A: $i] :
( ~ ( a @ big_f )
| ( A @ big_f ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[5]) ).
thf(3,negated_conjecture,
! [A: $i] :
( p
| ( A @ big_f ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause_3) ).
thf(9,plain,
! [A: $i] :
( p
| ( A @ big_f ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[3]) ).
thf(1,negated_conjecture,
! [A: $i] :
( ~ ( A @ big_f )
| p ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause_1) ).
thf(7,plain,
! [A: $i] :
( ~ ( A @ big_f )
| p ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[1]) ).
thf(2,negated_conjecture,
! [A: $i] :
( ~ p
| ( A @ big_f ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause_2) ).
thf(8,plain,
! [A: $i] :
( ~ p
| ( A @ big_f ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[2]) ).
thf(16,plain,
$false,
inference(e,[status(thm)],[10,6,9,7,8]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SYN052-1 : TPTP v9.3.1. Released v1.0.0.
% 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
% 0.15/0.40 % Computer : n013.cluster.edu
% 0.15/0.40 % Model : x86_64 x86_64
% 0.15/0.40 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.40 % Memory : 8046.5625MB
% 0.15/0.40 % OS : Linux 6.8.0-71-generic
% 0.15/0.40 % CPULimit : 300
% 0.15/0.40 % WCLimit : 300
% 0.15/0.40 % DateTime : Sat Sep 26 17:06:37 UTC 2026
% 0.15/0.41 % CPUTime :
% 0.15/0.41 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
% 0.89/1.00 % [INFO] Parsing problem /export/starexec/sandbox/benchmark/theBenchmark.p ...
% 1.28/1.17 % [INFO] Parsing done (167ms).
% 1.28/1.19 % [INFO] Running in sequential loop mode.
% 1.82/1.59 % [INFO] eprover registered as external prover.
% 2.01/1.60 % [INFO] Scanning for conjecture ...
% 2.01/1.69 % [INFO] Found a conjecture (or negated_conjecture) and 0 axioms. Running axiom selection ...
% 2.20/1.73 % [INFO] Axiom selection finished. Selected 0 axioms (removed 0 axioms).
% 2.20/1.73 % [INFO] Problem is propositional (TPTP CNF).
% 2.20/1.73 % [INFO] Type checking passed.
% 2.20/1.73 % [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 ...
% 3.10/2.17 % External prover 'e' found a proof!
% 3.10/2.18 % [INFO] Killing All external provers ...
% 3.10/2.18 % Time passed: 1623ms (effective reasoning time: 983ms)
% 3.10/2.18 % Axioms used in derivation (0):
% 3.10/2.18 % No. of inferences in proof: 11
% 3.10/2.18 % SZS status Unsatisfiable for /export/starexec/sandbox/benchmark/theBenchmark.p : 1623 ms resp. 983 ms w/o parsing
% 3.29/2.21 % SZS output start Refutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% See solution above
% 3.29/2.21 % [INFO] Killing All external provers ...
%------------------------------------------------------------------------------