%------------------------------------------------------------------------------
% File : Leo-III---1.8.0
% Problem : PUZ082^1 : TPTP v9.3.1. Released v3.6.0.
% 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 : n002.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 : Wed Sep 30 08:20:45 AM UTC 2026
% Result : Theorem 3.28s 2.10s
% Output : Refutation 3.28s
% Verified :
% SZS Type : Refutation
% Derivation depth : 14
% Number of leaves : 3
% Syntax : Number of formulae : 20 ( 9 unt; 0 typ; 1 def)
% Number of atoms : 46 ( 8 equ; 0 cnn)
% Maximal formula atoms : 5 ( 2 avg)
% Number of connectives : 90 ( 28 ~; 6 |; 1 &; 44 @)
% ( 0 <=>; 11 =>; 0 <=; 0 <~>)
% Maximal formula depth : 7 ( 4 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 : 10 ( 0 ^; 9 !; 0 ?; 10 :)
% ( 0 !>; 0 ?*; 0 @-; 1 @+)
% Comments :
%------------------------------------------------------------------------------
thf(peter_decl,type,
peter: $i ).
thf(says_decl,type,
says: $i > $o > $o ).
thf(sk1_decl,type,
sk1: $o ).
thf(sk1_def,definition,
( sk1
= ( @+[A: $o] :
~ ( ( says @ peter @ A )
=> ~ A ) ) ) ).
thf(1,conjecture,
~ ! [A: $o] :
( ( says @ peter @ A )
=> ~ A ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',thm) ).
thf(2,negated_conjecture,
~ ~ ! [A: $o] :
( ( says @ peter @ A )
=> ~ A ),
inference(neg_conjecture,[status(cth)],[1]) ).
thf(4,plain,
~ ~ ! [A: $o] :
( ( says @ peter @ A )
=> ~ A ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[2]) ).
thf(5,plain,
! [A: $o] :
( ( says @ peter @ A )
=> ~ A ),
inference(polarity_switch,[status(thm)],[4]) ).
thf(6,plain,
( ( says @ peter @ $true )
=> ~ $true ),
inference(instance,[status(thm)],[5]) ).
thf(7,plain,
~ ( says @ peter @ $true ),
inference(simp,[status(thm)],[6]) ).
thf(3,axiom,
( says @ peter
@ ! [A: $o] :
( ( says @ peter @ A )
=> ~ A ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax1) ).
thf(10,plain,
( says @ peter
@ ! [A: $o] :
( ( says @ peter @ A )
=> ~ A ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[3]) ).
thf(11,plain,
( ~ $true
| ( ( says @ peter
@ ! [A: $o] :
( ( says @ peter @ A )
=> ~ A ) )
!= ( says @ peter @ $true ) ) ),
inference(paramod_ordered,[status(thm)],[10,7]) ).
thf(12,plain,
( ( says @ peter
@ ! [A: $o] :
( ( says @ peter @ A )
=> ~ A ) )
!= ( says @ peter @ $true ) ),
inference(simp,[status(thm)],[11]) ).
thf(13,plain,
( ( peter != peter )
| ~ ! [A: $o] :
( ( says @ peter @ A )
=> ~ A ) ),
inference(simp,[status(thm)],[12]) ).
thf(14,plain,
( ( ( peter != peter )
| ( says @ peter @ sk1 ) )
& ( ( peter != peter )
| sk1 ) ),
inference(cnf,[status(esa)],[13]) ).
thf(15,plain,
( ( peter != peter )
| ( says @ peter @ sk1 ) ),
inference(cnfConj,[status(thm)],[14]) ).
thf(17,plain,
says @ peter @ sk1,
inference(simp,[status(thm)],[15]) ).
thf(16,plain,
( ( peter != peter )
| sk1 ),
inference(cnfConj,[status(thm)],[14]) ).
thf(18,plain,
sk1,
inference(simp,[status(thm)],[16]) ).
thf(19,plain,
says @ peter @ $true,
inference(rewrite,[status(thm)],[17,18]) ).
thf(20,plain,
~ $true,
inference(rewrite,[status(thm)],[7,19]) ).
thf(21,plain,
$false,
inference(simp,[status(thm)],[20]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : PUZ082^1 : TPTP v9.3.1. Released v3.6.0.
% 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
% 0.11/0.21 % Computer : n002.cluster.edu
% 0.11/0.21 % Model : x86_64 x86_64
% 0.11/0.21 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.21 % Memory : 8046.5625MB
% 0.11/0.21 % OS : Linux 6.8.0-71-generic
% 0.11/0.21 % CPULimit : 300
% 0.11/0.21 % WCLimit : 300
% 0.11/0.21 % DateTime : Tue Sep 29 13:24:22 UTC 2026
% 0.11/0.22 % CPUTime :
% 0.11/0.22 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
% 1.01/0.80 % [INFO] Parsing problem /export/starexec/sandbox2/benchmark/theBenchmark.p ...
% 1.19/0.98 % [INFO] Parsing done (175ms).
% 1.19/0.99 % [INFO] Running in sequential loop mode.
% 1.76/1.38 % [INFO] eprover registered as external prover.
% 1.76/1.39 % [INFO] Scanning for conjecture ...
% 1.94/1.46 % [INFO] Found a conjecture (or negated_conjecture) and 1 axioms. Running axiom selection ...
% 2.09/1.50 % [INFO] Axiom selection finished. Selected 1 axioms (removed 0 axioms).
% 2.09/1.50 % [INFO] Problem is higher-order (TPTP THF).
% 2.09/1.51 % [INFO] Type checking passed.
% 2.09/1.52 % [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 ...
% 3.28/2.10 % [INFO] Killing All external provers ...
% 3.28/2.10 % Time passed: 1734ms (effective reasoning time: 1102ms)
% 3.28/2.10 % 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)>
% 3.28/2.10 % Axioms used in derivation (1): ax1
% 3.28/2.10 % No. of inferences in proof: 19
% 3.28/2.10 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p : 1734 ms resp. 1102 ms w/o parsing
% 3.28/2.15 % SZS output start Refutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% See solution above
% 3.28/2.15 % [INFO] Killing All external provers ...
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