%------------------------------------------------------------------------------
% File : Leo-III---1.8.0
% Problem : SYO197_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 : 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 : Sun Sep 27 09:44:02 AM UTC 2026
% Result : Theorem 3.29s 7.22s
% Output : Refutation 3.29s
% Verified :
% SZS Type : Refutation
% Derivation depth : 6
% Number of leaves : 2
% Syntax : Number of formulae : 8 ( 3 unt; 0 typ; 1 def)
% Number of atoms : 4 ( 1 equ; 0 cnn)
% Maximal formula atoms : 1 ( 0 avg)
% Number of connectives : 10 ( 5 ~; 0 |; 1 &; 0 @)
% ( 0 <=>; 4 =>; 0 <=; 0 <~>)
% Maximal formula depth : 6 ( 4 avg)
% Number of types : 1 ( 0 usr)
% Number of type conns : 0 ( 0 >; 0 *; 0 +; 0 <<)
% Number of symbols : 3 ( 1 usr; 2 con; 0-2 aty)
% Number of variables : 13 ( 0 ^; 5 !; 7 ?; 13 :)
% ( 0 !>; 0 ?*; 0 @-; 1 @+)
% Comments :
%------------------------------------------------------------------------------
thf(sk1_decl,type,
sk1: $o ).
thf(sk1_def,definition,
( sk1
= ( @+[A: $o] : A ) ) ).
thf(1,conjecture,
? [A: $o] :
! [B: $o] :
? [C: $o] :
( B
=> C ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cCT18) ).
thf(2,negated_conjecture,
~ ? [A: $o] :
! [B: $o] :
? [C: $o] :
( B
=> C ),
inference(neg_conjecture,[status(cth)],[1]) ).
thf(3,plain,
~ ! [A: $o] :
? [B: $o] :
( A
=> B ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[2]) ).
thf(4,plain,
~ ( ? [A: $o] : A
=> ? [A: $o] : A ),
inference(miniscope,[status(thm)],[3]) ).
thf(5,plain,
! [A: $o] :
( ~ A
& sk1 ),
inference(cnf,[status(esa)],[4]) ).
thf(7,plain,
! [A: $o] : ~ A,
inference(cnfConj,[status(thm)],[5]) ).
thf(10,plain,
$false,
inference(simp,[status(thm)],[7]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SYO197_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
% 0.15/5.40 % Computer : n002.cluster.edu
% 0.15/5.40 % Model : x86_64 x86_64
% 0.15/5.40 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/5.40 % Memory : 8046.5625MB
% 0.15/5.40 % OS : Linux 6.8.0-71-generic
% 0.15/5.40 % CPULimit : 300
% 0.15/5.40 % WCLimit : 300
% 0.15/5.40 % DateTime : Sat Sep 26 19:07:41 UTC 2026
% 0.15/5.41 % CPUTime :
% 0.15/5.41 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
% 0.17/5.99 % [INFO] Parsing problem /export/starexec/sandbox/benchmark/theBenchmark.p ...
% 1.27/6.17 % [INFO] Parsing done (175ms).
% 1.27/6.18 % [INFO] Running in sequential loop mode.
% 1.80/6.59 % [INFO] eprover registered as external prover.
% 1.99/6.60 % [INFO] Scanning for conjecture ...
% 1.99/6.68 % [INFO] Found a conjecture (or negated_conjecture) and 0 axioms. Running axiom selection ...
% 2.18/6.72 % [INFO] Axiom selection finished. Selected 0 axioms (removed 0 axioms).
% 2.18/6.72 % [INFO] Problem is typed first-order (TPTP TFF).
% 2.18/6.72 % [INFO] Type checking passed.
% 2.18/6.73 % [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 ...
% 2.33/6.86 % [INFO] [Domain constraints] Detected constraint on $o
% 2.33/6.86 % [INFO] [Domain constraints] dom($o) ⊆ {$true}
% 3.29/7.22 % [INFO] Killing All external provers ...
% 3.29/7.22 % Time passed: 1667ms (effective reasoning time: 1026ms)
% 3.29/7.22 % 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)>
% 3.29/7.22 % Axioms used in derivation (0):
% 3.29/7.22 % No. of inferences in proof: 7
% 3.29/7.22 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p : 1667 ms resp. 1026 ms w/o parsing
% 3.29/7.25 % SZS output start Refutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% See solution above
% 3.29/7.25 % [INFO] Killing All external provers ...
%------------------------------------------------------------------------------