%------------------------------------------------------------------------------
% File : Leo-III---1.8.0
% Problem : SYN081+1 : TPTP v9.3.1. Released v2.0.0.
% 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 : n015.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 : Theorem 2.94s 2.19s
% Output : Refutation 3.08s
% Verified :
% SZS Type : Refutation
% Derivation depth : 3
% Number of leaves : 2
% Syntax : Number of formulae : 6 ( 1 unt; 0 typ; 0 def)
% Number of atoms : 13 ( 0 equ; 0 cnn)
% Maximal formula atoms : 4 ( 2 avg)
% Number of connectives : 33 ( 8 ~; 0 |; 4 &; 18 @)
% ( 1 <=>; 2 =>; 0 <=; 0 <~>)
% Maximal formula depth : 7 ( 6 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 : 5 ( 0 ^; 2 !; 3 ?; 5 :)
% Comments :
%------------------------------------------------------------------------------
thf(big_f_decl,type,
big_f: $i > $o ).
thf(f_decl,type,
f: $i > $i ).
thf(1,conjecture,
? [A: $i] :
( ~ ( A @ f @ big_f )
& ( A @ big_f ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',pel59) ).
thf(2,negated_conjecture,
~ ? [A: $i] :
( ~ ( A @ f @ big_f )
& ( A @ big_f ) ),
inference(neg_conjecture,[status(cth)],[1]) ).
thf(4,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/sandbox2/benchmark/theBenchmark.p',pel59_1) ).
thf(6,plain,
! [A: $i] :
( ( ~ ( A @ f @ big_f )
=> ( A @ big_f ) )
& ( ( A @ big_f )
=> ~ ( A @ f @ big_f ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[3]) ).
thf(16,plain,
$false,
inference(e,[status(thm)],[4,6]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : SYN081+1 : TPTP v9.3.1. Released v2.0.0.
% 0.00/0.07 % 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
% 0.11/0.38 % Computer : n015.cluster.edu
% 0.11/0.38 % Model : x86_64 x86_64
% 0.11/0.38 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.38 % Memory : 8046.5625MB
% 0.11/0.38 % OS : Linux 6.8.0-71-generic
% 0.11/0.38 % CPULimit : 300
% 0.11/0.38 % WCLimit : 300
% 0.11/0.38 % DateTime : Sat Sep 26 17:13:28 UTC 2026
% 0.11/0.39 % CPUTime :
% 0.11/0.39 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
% 0.83/0.95 % [INFO] Parsing problem /export/starexec/sandbox2/benchmark/theBenchmark.p ...
% 1.03/1.12 % [INFO] Parsing done (172ms).
% 1.20/1.14 % [INFO] Running in sequential loop mode.
% 1.70/1.54 % [INFO] eprover registered as external prover.
% 1.70/1.55 % [INFO] Scanning for conjecture ...
% 1.89/1.63 % [INFO] Found a conjecture (or negated_conjecture) and 1 axioms. Running axiom selection ...
% 1.89/1.66 % [INFO] Axiom selection finished. Selected 1 axioms (removed 0 axioms).
% 1.89/1.66 % [INFO] Problem is first-order (TPTP FOF).
% 1.89/1.67 % [INFO] Type checking passed.
% 1.89/1.68 % [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 ...
% 2.94/2.19 % External prover 'e' found a proof!
% 2.94/2.19 % [INFO] Killing All external provers ...
% 2.94/2.19 % Time passed: 1667ms (effective reasoning time: 1047ms)
% 2.94/2.19 % 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)>
% 2.94/2.19 % Axioms used in derivation (1): pel59_1
% 2.94/2.19 % No. of inferences in proof: 6
% 2.94/2.19 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p : 1667 ms resp. 1047 ms w/o parsing
% 3.08/2.22 % SZS output start Refutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% See solution above
% 3.08/2.22 % [INFO] Killing All external provers ...
%------------------------------------------------------------------------------