%------------------------------------------------------------------------------
% File : Leo-III---1.8.0
% Problem : SYO043^1 : TPTP v9.3.1. Released v4.0.0.
% 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 : n015.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 08:45:05 AM UTC 2026
% Result : Unsatisfiable 3.99s 2.24s
% Output : Refutation 3.99s
% Verified :
% SZS Type : Refutation
% Derivation depth : 14
% Number of leaves : 1
% Syntax : Number of formulae : 19 ( 6 unt; 0 typ; 0 def)
% Number of atoms : 103 ( 8 equ; 0 cnn)
% Maximal formula atoms : 7 ( 5 avg)
% Number of connectives : 87 ( 19 ~; 6 |; 6 &; 56 @)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 5 ( 3 avg)
% Number of types : 1 ( 0 usr)
% Number of type conns : 0 ( 0 >; 0 *; 0 +; 0 <<)
% Number of symbols : 6 ( 3 usr; 3 con; 0-2 aty)
% Number of variables : 0 ( 0 ^; 0 !; 0 ?; 0 :)
% Comments :
%------------------------------------------------------------------------------
thf(f_decl,type,
f: $o > $o ).
thf(q_decl,type,
q: ( $o > $o ) > $o > $o ).
thf(x_decl,type,
x: $o ).
thf(1,axiom,
( ( q @ f @ x )
& ( f @ ( f @ x ) )
& ( ( f @ ( q @ f @ x ) )
!= ( f @ x ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',5) ).
thf(2,plain,
( ( q @ f @ x )
& ( f @ ( f @ x ) )
& ( ( f @ ( q @ f @ x ) )
!= ( f @ x ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[1]) ).
thf(3,plain,
( ( q @ f @ x )
& ( f @ ( f @ x ) )
& ( ( f @ ( q @ f @ x ) )
!= ( f @ x ) ) ),
inference(cnf,[status(esa)],[2]) ).
thf(5,plain,
f @ ( f @ x ),
inference(cnfConj,[status(thm)],[3]) ).
thf(6,plain,
( ( f @ ( q @ f @ x ) )
!= ( f @ x ) ),
inference(cnfConj,[status(thm)],[3]) ).
thf(7,plain,
( ( f @ ( q @ f @ x ) )
!= ( f @ x ) ),
inference(lifteq,[status(thm)],[6]) ).
thf(4,plain,
q @ f @ x,
inference(cnfConj,[status(thm)],[3]) ).
thf(10,plain,
( ( f @ x )
!= ( f @ $true ) ),
inference(rewrite,[status(thm)],[7,4]) ).
thf(11,plain,
~ x,
inference(simp,[status(thm)],[10]) ).
thf(17,plain,
f @ ( f @ $false ),
inference(rewrite,[status(thm)],[5,11]) ).
thf(12,plain,
( ~ ( f @ x )
| ~ ( f @ $true ) ),
inference(bool_ext,[status(thm)],[10]) ).
thf(19,plain,
( ~ ( f @ $false )
| ~ ( f @ $true ) ),
inference(rewrite,[status(thm)],[12,11]) ).
thf(30,plain,
( ~ ( f @ $false )
| ~ $true
| ( ( f @ ( f @ $false ) )
!= ( f @ $true ) ) ),
inference(paramod_ordered,[status(thm)],[17,19]) ).
thf(31,plain,
( ~ ( f @ $false )
| ( ( f @ ( f @ $false ) )
!= ( f @ $true ) ) ),
inference(simp,[status(thm)],[30]) ).
thf(35,plain,
( ~ ( f @ $false )
| ~ ( f @ $false ) ),
inference(simp,[status(thm)],[31]) ).
thf(36,plain,
~ ( f @ $false ),
inference(simp,[status(thm)],[35]) ).
thf(37,plain,
f @ $false,
inference(rewrite,[status(thm)],[17,36]) ).
thf(46,plain,
$false,
inference(rewrite,[status(thm)],[37,36]) ).
thf(47,plain,
$false,
inference(simp,[status(thm)],[46]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SYO043^1 : TPTP v9.3.1. Released v4.0.0.
% 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
% 0.11/0.22 % Computer : n015.cluster.edu
% 0.11/0.22 % Model : x86_64 x86_64
% 0.11/0.22 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.22 % Memory : 8046.5625MB
% 0.11/0.22 % OS : Linux 6.8.0-71-generic
% 0.11/0.22 % CPULimit : 300
% 0.11/0.22 % WCLimit : 300
% 0.11/0.22 % DateTime : Tue Sep 29 16:27:48 UTC 2026
% 0.11/0.22 % CPUTime :
% 0.11/0.22 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
% 1.05/0.80 % [INFO] Parsing problem /export/starexec/sandbox/benchmark/theBenchmark.p ...
% 1.24/0.99 % [INFO] Parsing done (184ms).
% 1.24/1.00 % [INFO] Running in sequential loop mode.
% 2.05/1.41 % [INFO] eprover registered as external prover.
% 2.05/1.42 % [INFO] Scanning for conjecture ...
% 2.05/1.46 % [INFO] 1 axioms and no conjecture found.
% 2.05/1.49 % [INFO] Problem is higher-order (TPTP THF).
% 2.05/1.49 % [INFO] Type checking passed.
% 2.05/1.50 % [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 ...
% 3.99/2.23 % [INFO] Killing All external provers ...
% 3.99/2.23 % Time passed: 1867ms (effective reasoning time: 1221ms)
% 3.99/2.24 % Axioms used in derivation (1): 5
% 3.99/2.24 % No. of inferences in proof: 19
% 3.99/2.24 % SZS status Unsatisfiable for /export/starexec/sandbox/benchmark/theBenchmark.p : 1867 ms resp. 1221 ms w/o parsing
% 3.99/2.27 % SZS output start Refutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% See solution above
% 3.99/2.27 % [INFO] Killing All external provers ...
%------------------------------------------------------------------------------