%------------------------------------------------------------------------------
% File : Leo-III---1.8.0
% Problem : SYN081-1 : 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 : n005.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 09:16:46 AM UTC 2026
% Result : Unsatisfiable 3.31s 2.21s
% Output : Refutation 3.31s
% Verified :
% SZS Type : Refutation
% Derivation depth : 2
% Number of leaves : 3
% Syntax : Number of formulae : 7 ( 1 unt; 0 typ; 0 def)
% Number of atoms : 13 ( 0 equ; 0 cnn)
% Maximal formula atoms : 2 ( 1 avg)
% Number of connectives : 30 ( 6 ~; 6 |; 0 &; 18 @)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 6 ( 5 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 0 ( 0 >; 0 *; 0 +; 0 <<)
% Number of symbols : 3 ( 2 usr; 1 con; 0-1 aty)
% Number of variables : 6 ( 0 ^; 6 !; 0 ?; 6 :)
% Comments :
%------------------------------------------------------------------------------
thf(big_f_decl,type,
big_f: $i > $o ).
thf(f_decl,type,
f: $i > $i ).
thf(1,negated_conjecture,
! [A: $i] :
( ( A @ f @ big_f )
| ~ ( A @ big_f ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this) ).
thf(4,plain,
! [A: $i] :
( ( A @ f @ big_f )
| ~ ( A @ big_f ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[1]) ).
thf(2,axiom,
! [A: $i] :
( ~ ( A @ f @ big_f )
| ~ ( A @ big_f ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause_1) ).
thf(6,plain,
! [A: $i] :
( ~ ( A @ f @ big_f )
| ~ ( A @ big_f ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[2]) ).
thf(3,axiom,
! [A: $i] :
( ( A @ big_f )
| ( A @ f @ big_f ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause_2) ).
thf(8,plain,
! [A: $i] :
( ( A @ big_f )
| ( A @ f @ big_f ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[3]) ).
thf(14,plain,
$false,
inference(e,[status(thm)],[4,6,8]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : SYN081-1 : TPTP v9.3.1. Released v1.0.0.
% 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
% 0.12/0.38 % Computer : n005.cluster.edu
% 0.12/0.38 % Model : x86_64 x86_64
% 0.12/0.38 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.38 % Memory : 8046.5625MB
% 0.12/0.38 % OS : Linux 6.8.0-71-generic
% 0.12/0.38 % CPULimit : 300
% 0.12/0.38 % WCLimit : 300
% 0.12/0.38 % DateTime : Sat Sep 26 17:09:46 UTC 2026
% 0.12/0.39 % CPUTime :
% 0.12/0.39 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
% 0.88/0.95 % [INFO] Parsing problem /export/starexec/sandbox/benchmark/theBenchmark.p ...
% 1.14/1.13 % [INFO] Parsing done (173ms).
% 1.33/1.14 % [INFO] Running in sequential loop mode.
% 1.83/1.55 % [INFO] eprover registered as external prover.
% 1.83/1.56 % [INFO] Scanning for conjecture ...
% 2.04/1.64 % [INFO] Found a conjecture (or negated_conjecture) and 2 axioms. Running axiom selection ...
% 2.04/1.67 % [INFO] Axiom selection finished. Selected 2 axioms (removed 0 axioms).
% 2.04/1.67 % [INFO] Problem is propositional (TPTP CNF).
% 2.04/1.67 % [INFO] Type checking passed.
% 2.04/1.68 % [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 ...
% 3.31/2.21 % External prover 'e' found a proof!
% 3.31/2.21 % [INFO] Killing All external provers ...
% 3.31/2.21 % Time passed: 1682ms (effective reasoning time: 1057ms)
% 3.31/2.21 % Axioms used in derivation (2): clause_1, clause_2
% 3.31/2.21 % No. of inferences in proof: 7
% 3.31/2.21 % SZS status Unsatisfiable for /export/starexec/sandbox/benchmark/theBenchmark.p : 1682 ms resp. 1057 ms w/o parsing
% 3.31/2.24 % SZS output start Refutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% See solution above
% 3.31/2.24 % [INFO] Killing All external provers ...
%------------------------------------------------------------------------------