%------------------------------------------------------------------------------
% File : Leo-III---1.8.0
% Problem : SYO501_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 : n006.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 09:44:49 AM UTC 2026
% Result : Theorem 2.24s 7.10s
% Output : Refutation 2.44s
% Verified :
% SZS Type : Refutation
% Derivation depth : 3
% Number of leaves : 1
% Syntax : Number of formulae : 4 ( 2 unt; 0 typ; 0 def)
% Number of atoms : 10 ( 0 equ; 0 cnn)
% Maximal formula atoms : 4 ( 2 avg)
% Number of connectives : 22 ( 8 ~; 2 |; 0 &; 12 @)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 8 ( 5 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 0 ( 0 >; 0 *; 0 +; 0 <<)
% Number of symbols : 6 ( 4 usr; 4 con; 0-2 aty)
% Number of variables : 0 ( 0 ^; 0 !; 0 ?; 0 :)
% Comments :
%------------------------------------------------------------------------------
thf(x_decl,type,
x: $i ).
thf(y_decl,type,
y: $o ).
thf(f_decl,type,
f: $i > $o > $i ).
thf(p_decl,type,
p: $i > $o ).
thf(1,conjecture,
( ( y @ ( x @ f ) @ p )
| ~ ( ~ ~ y
@ ( x @ f )
@ p ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',claim) ).
thf(2,negated_conjecture,
~ ( ( y @ ( x @ f ) @ p )
| ~ ( ~ ~ y
@ ( x @ f )
@ p ) ),
inference(neg_conjecture,[status(cth)],[1]) ).
thf(3,plain,
~ $true,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[2]) ).
thf(4,plain,
$false,
inference(simp,[status(thm)],[3]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : SYO501_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
% 0.15/5.62 % Computer : n006.cluster.edu
% 0.15/5.62 % Model : x86_64 x86_64
% 0.15/5.62 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/5.62 % Memory : 8046.5625MB
% 0.15/5.62 % OS : Linux 6.8.0-71-generic
% 0.15/5.62 % CPULimit : 300
% 0.15/5.62 % WCLimit : 300
% 0.15/5.62 % DateTime : Sat Sep 26 19:25:23 UTC 2026
% 0.15/5.62 % CPUTime :
% 0.15/5.62 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
% 0.97/6.21 % [INFO] Parsing problem /export/starexec/sandbox/benchmark/theBenchmark.p ...
% 1.13/6.39 % [INFO] Parsing done (178ms).
% 1.13/6.41 % [INFO] Running in sequential loop mode.
% 1.86/6.80 % [INFO] eprover registered as external prover.
% 1.86/6.81 % [INFO] Scanning for conjecture ...
% 2.04/6.90 % [INFO] Found a conjecture (or negated_conjecture) and 0 axioms. Running axiom selection ...
% 2.04/6.93 % [INFO] Axiom selection finished. Selected 0 axioms (removed 0 axioms).
% 2.04/6.93 % [INFO] Problem is typed first-order (TPTP TFF).
% 2.04/6.94 % [INFO] Type checking passed.
% 2.04/6.94 % [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 ...
% 2.24/7.09 % [INFO] Killing All external provers ...
% 2.24/7.09 % Time passed: 1322ms (effective reasoning time: 677ms)
% 2.24/7.09 % 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)>
% 2.24/7.09 % Axioms used in derivation (0):
% 2.24/7.09 % No. of inferences in proof: 4
% 2.24/7.10 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p : 1322 ms resp. 677 ms w/o parsing
% 2.44/7.13 % SZS output start Refutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% See solution above
% 2.44/7.13 % [INFO] Killing All external provers ...
%------------------------------------------------------------------------------