%------------------------------------------------------------------------------
% File : Leo-III---1.8.0
% Problem : SYO017_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 : n005.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 09:43:35 AM UTC 2026
% Result : Theorem 3.28s 2.26s
% Output : Refutation 3.28s
% Verified :
% SZS Type : Refutation
% Derivation depth : 7
% Number of leaves : 1
% Syntax : Number of formulae : 8 ( 8 unt; 0 typ; 0 def)
% Number of atoms : 56 ( 12 equ; 0 cnn)
% Maximal formula atoms : 1 ( 7 avg)
% Number of connectives : 28 ( 4 ~; 0 |; 0 &; 24 @)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 2 ( 2 avg)
% Number of types : 1 ( 0 usr)
% Number of type conns : 0 ( 0 >; 0 *; 0 +; 0 <<)
% Number of symbols : 4 ( 1 usr; 2 con; 0-2 aty)
% Number of variables : 0 ( 0 ^; 0 !; 0 ?; 0 :)
% Comments :
%------------------------------------------------------------------------------
thf(h_decl,type,
h: $o > $o ).
thf(1,conjecture,
( ( ( ( $true @ h )
= ( $false @ h ) )
@ h )
= ( $false @ h ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',conj) ).
thf(2,negated_conjecture,
( ( ( ( $true @ h )
= ( $false @ h ) )
@ h )
!= ( $false @ h ) ),
inference(neg_conjecture,[status(cth)],[1]) ).
thf(3,plain,
( ( ( ( $true @ h )
= ( $false @ h ) )
@ h )
!= ( $false @ h ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[2]) ).
thf(4,plain,
( ( ( ( $true @ h )
= ( $false @ h ) )
@ h )
!= ( $false @ h ) ),
inference(lifteq,[status(thm)],[3]) ).
thf(5,plain,
( ( $true @ h )
= ( $false @ h ) ),
inference(simp,[status(thm)],[4]) ).
thf(8,plain,
( ( $false @ h )
= ( $true @ h ) ),
inference(lifteq,[status(thm)],[5]) ).
thf(9,plain,
( ( ( ( $true @ h )
= ( $true @ h ) )
@ h )
!= ( $true @ h ) ),
inference(rewrite,[status(thm)],[4,8]) ).
thf(10,plain,
$false,
inference(simp,[status(thm)],[9]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SYO017_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
% 0.13/0.39 % Computer : n005.cluster.edu
% 0.13/0.39 % Model : x86_64 x86_64
% 0.13/0.39 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.39 % Memory : 8046.5625MB
% 0.13/0.39 % OS : Linux 6.8.0-71-generic
% 0.13/0.39 % CPULimit : 300
% 0.13/0.39 % WCLimit : 300
% 0.13/0.39 % DateTime : Sat Sep 26 18:55:02 UTC 2026
% 0.13/0.39 % CPUTime :
% 0.13/0.39 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
% 0.86/0.98 % [INFO] Parsing problem /export/starexec/sandbox/benchmark/theBenchmark.p ...
% 1.25/1.15 % [INFO] Parsing done (171ms).
% 1.25/1.17 % [INFO] Running in sequential loop mode.
% 1.79/1.58 % [INFO] eprover registered as external prover.
% 1.79/1.59 % [INFO] Scanning for conjecture ...
% 1.99/1.67 % [INFO] Found a conjecture (or negated_conjecture) and 0 axioms. Running axiom selection ...
% 2.16/1.70 % [INFO] Axiom selection finished. Selected 0 axioms (removed 0 axioms).
% 2.16/1.70 % [INFO] Problem is typed first-order (TPTP TFF).
% 2.16/1.71 % [INFO] Type checking passed.
% 2.16/1.72 % [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 ...
% 3.28/2.25 % [INFO] Killing All external provers ...
% 3.28/2.25 % Time passed: 1715ms (effective reasoning time: 1074ms)
% 3.28/2.25 % 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)>
% 3.28/2.25 % Axioms used in derivation (0):
% 3.28/2.25 % No. of inferences in proof: 8
% 3.28/2.26 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p : 1715 ms resp. 1074 ms w/o parsing
% 3.28/2.28 % SZS output start Refutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% See solution above
% 3.28/2.28 % [INFO] Killing All external provers ...
%------------------------------------------------------------------------------