%------------------------------------------------------------------------------
% File : Leo-III---1.8.0
% Problem : SYN064+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 : n014.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 09:16:41 AM UTC 2026
% Result : Theorem 5.25s 8.42s
% Output : Refutation 5.25s
% Verified :
% SZS Type : Refutation
% Derivation depth : 7
% Number of leaves : 3
% Syntax : Number of formulae : 11 ( 6 unt; 0 typ; 2 def)
% Number of atoms : 18 ( 2 equ; 0 cnn)
% Maximal formula atoms : 2 ( 1 avg)
% Number of connectives : 41 ( 8 ~; 0 |; 1 &; 28 @)
% ( 0 <=>; 4 =>; 0 <=; 0 <~>)
% Maximal formula depth : 9 ( 5 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 0 ( 0 >; 0 *; 0 +; 0 <<)
% Number of symbols : 6 ( 3 usr; 4 con; 0-2 aty)
% Number of variables : 23 ( 0 ^; 15 !; 6 ?; 23 :)
% ( 0 !>; 0 ?*; 0 @-; 2 @+)
% Comments :
%------------------------------------------------------------------------------
thf(big_p_decl,type,
big_p: $i > $i > $o ).
thf(sk1_decl,type,
sk1: $i ).
thf(sk2_decl,type,
sk2: $i ).
thf(sk1_def,definition,
( sk1
= ( @+[A: $i] :
~ ! [B: $i] : ( B @ ( A @ big_p ) ) ) ) ).
thf(sk2_def,definition,
( sk2
= ( @+[A: $i] :
~ ( A @ ( sk1 @ big_p ) ) ) ) ).
thf(1,conjecture,
? [A: $i,B: $i] :
( ( B @ ( A @ big_p ) )
=> ! [C: $i,D: $i] : ( D @ ( C @ big_p ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',pel35) ).
thf(2,negated_conjecture,
~ ? [A: $i,B: $i] :
( ( B @ ( A @ big_p ) )
=> ! [C: $i,D: $i] : ( D @ ( C @ big_p ) ) ),
inference(neg_conjecture,[status(cth)],[1]) ).
thf(3,plain,
~ ? [A: $i,B: $i] :
( ( B @ ( A @ big_p ) )
=> ! [C: $i,D: $i] : ( D @ ( C @ big_p ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[2]) ).
thf(4,plain,
~ ( ! [A: $i,B: $i] : ( B @ ( A @ big_p ) )
=> ! [A: $i,B: $i] : ( B @ ( A @ big_p ) ) ),
inference(miniscope,[status(thm)],[3]) ).
thf(5,plain,
! [B: $i,A: $i] :
( ~ ( sk2 @ ( sk1 @ big_p ) )
& ( B @ ( A @ big_p ) ) ),
inference(cnf,[status(esa)],[4]) ).
thf(7,plain,
~ ( sk2 @ ( sk1 @ big_p ) ),
inference(cnfConj,[status(thm)],[5]) ).
thf(6,plain,
! [B: $i,A: $i] : ( B @ ( A @ big_p ) ),
inference(cnfConj,[status(thm)],[5]) ).
thf(8,plain,
~ $true,
inference(rewrite,[status(thm)],[7,6]) ).
thf(9,plain,
$false,
inference(simp,[status(thm)],[8]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.05 % Problem : SYN064+1 : TPTP v9.3.1. Released v2.0.0.
% 0.00/0.13 % 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
% 0.25/5.53 % Computer : n014.cluster.edu
% 0.25/5.53 % Model : x86_64 x86_64
% 0.25/5.53 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.25/5.53 % Memory : 8046.5625MB
% 0.25/5.53 % OS : Linux 6.8.0-71-generic
% 0.25/5.53 % CPULimit : 300
% 0.25/5.53 % WCLimit : 300
% 0.25/5.53 % DateTime : Sat Sep 26 17:08:53 UTC 2026
% 0.25/5.53 % CPUTime :
% 0.25/5.53 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
% 1.36/6.44 % [INFO] Parsing problem /export/starexec/sandbox2/benchmark/theBenchmark.p ...
% 2.04/6.71 % [INFO] Parsing done (267ms).
% 2.04/6.73 % [INFO] Running in sequential loop mode.
% 2.88/7.39 % [INFO] eprover registered as external prover.
% 3.10/7.41 % [INFO] Scanning for conjecture ...
% 3.28/7.54 % [INFO] Found a conjecture (or negated_conjecture) and 0 axioms. Running axiom selection ...
% 3.44/7.60 % [INFO] Axiom selection finished. Selected 0 axioms (removed 0 axioms).
% 3.44/7.60 % [INFO] Problem is first-order (TPTP FOF).
% 3.44/7.61 % [INFO] Type checking passed.
% 3.44/7.62 % [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 ...
% 5.25/8.41 % [INFO] Killing All external provers ...
% 5.25/8.41 % Time passed: 2657ms (effective reasoning time: 1668ms)
% 5.25/8.41 % 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)>
% 5.25/8.42 % Axioms used in derivation (0):
% 5.25/8.42 % No. of inferences in proof: 9
% 5.25/8.42 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p : 2657 ms resp. 1668 ms w/o parsing
% 5.25/8.49 % SZS output start Refutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% See solution above
% 5.25/8.49 % [INFO] Killing All external provers ...
%------------------------------------------------------------------------------