%------------------------------------------------------------------------------
% File : Leo-III---1.8.0
% Problem : PUZ082_8 : TPTP v9.3.1. Released v8.0.0.
% 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 : n003.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 08:21:19 AM UTC 2026
% Result : Theorem 3.47s 2.34s
% Output : Refutation 3.47s
% 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] :
~ ( ( A @ ( peter @ says ) )
=> ~ A ) ) ) ).
thf(1,conjecture,
~ ! [A: $o] :
( ( A @ ( peter @ says ) )
=> ~ A ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',thm) ).
thf(2,negated_conjecture,
~ ~ ! [A: $o] :
( ( A @ ( peter @ says ) )
=> ~ A ),
inference(neg_conjecture,[status(cth)],[1]) ).
thf(4,plain,
~ ~ ! [A: $o] :
( ( A @ ( peter @ says ) )
=> ~ A ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[2]) ).
thf(5,plain,
! [A: $o] :
( ( A @ ( peter @ says ) )
=> ~ A ),
inference(polarity_switch,[status(thm)],[4]) ).
thf(6,plain,
( ( $true @ ( peter @ says ) )
=> ~ $true ),
inference(instance,[status(thm)],[5]) ).
thf(7,plain,
~ ( $true @ ( peter @ says ) ),
inference(simp,[status(thm)],[6]) ).
thf(3,axiom,
( ! [A: $o] :
( ( A @ ( peter @ says ) )
=> ~ A )
@ ( peter @ says ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax1) ).
thf(10,plain,
( ! [A: $o] :
( ( A @ ( peter @ says ) )
=> ~ A )
@ ( peter @ says ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[3]) ).
thf(11,plain,
( ( ( ! [A: $o] :
( ( A @ ( peter @ says ) )
=> ~ A )
@ ( peter @ says ) )
!= ( $true @ ( peter @ says ) ) )
| ~ $true ),
inference(paramod_ordered,[status(thm)],[10,7]) ).
thf(12,plain,
( ( ! [A: $o] :
( ( A @ ( peter @ says ) )
=> ~ A )
@ ( peter @ says ) )
!= ( $true @ ( peter @ says ) ) ),
inference(simp,[status(thm)],[11]) ).
thf(13,plain,
( ~ ! [A: $o] :
( ( A @ ( peter @ says ) )
=> ~ A )
| ( peter != peter ) ),
inference(simp,[status(thm)],[12]) ).
thf(14,plain,
( ( sk1
| ( peter != peter ) )
& ( ( sk1 @ ( peter @ says ) )
| ( peter != peter ) ) ),
inference(cnf,[status(esa)],[13]) ).
thf(15,plain,
( ( sk1 @ ( peter @ says ) )
| ( peter != peter ) ),
inference(cnfConj,[status(thm)],[14]) ).
thf(17,plain,
sk1 @ ( peter @ says ),
inference(simp,[status(thm)],[15]) ).
thf(16,plain,
( sk1
| ( peter != peter ) ),
inference(cnfConj,[status(thm)],[14]) ).
thf(18,plain,
sk1,
inference(simp,[status(thm)],[16]) ).
thf(19,plain,
$true @ ( peter @ says ),
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_8 : TPTP v9.3.1. Released v8.0.0.
% 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
% 0.15/0.39 % Computer : n003.cluster.edu
% 0.15/0.39 % Model : x86_64 x86_64
% 0.15/0.39 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.39 % Memory : 8046.5625MB
% 0.15/0.39 % OS : Linux 6.8.0-71-generic
% 0.15/0.39 % CPULimit : 300
% 0.15/0.39 % WCLimit : 300
% 0.15/0.39 % DateTime : Sat Sep 26 05:17:08 UTC 2026
% 0.15/0.39 % CPUTime :
% 0.15/0.39 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
% 0.89/0.97 % [INFO] Parsing problem /export/starexec/sandbox/benchmark/theBenchmark.p ...
% 1.30/1.15 % [INFO] Parsing done (178ms).
% 1.30/1.17 % [INFO] Running in sequential loop mode.
% 1.82/1.58 % [INFO] eprover registered as external prover.
% 1.82/1.59 % [INFO] Scanning for conjecture ...
% 2.01/1.68 % [INFO] Found a conjecture (or negated_conjecture) and 1 axioms. Running axiom selection ...
% 2.20/1.71 % [INFO] Axiom selection finished. Selected 1 axioms (removed 0 axioms).
% 2.20/1.72 % [INFO] Problem is typed first-order (TPTP TFF).
% 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 ...
% 3.47/2.33 % [INFO] Killing All external provers ...
% 3.47/2.34 % Time passed: 1801ms (effective reasoning time: 1162ms)
% 3.47/2.34 % 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)>
% 3.47/2.34 % Axioms used in derivation (1): ax1
% 3.47/2.34 % No. of inferences in proof: 19
% 3.47/2.34 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p : 1801 ms resp. 1162 ms w/o parsing
% 3.47/2.39 % SZS output start Refutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% See solution above
% 3.47/2.39 % [INFO] Killing All external provers ...
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