%------------------------------------------------------------------------------
% File : Leo-III---1.8.0
% Problem : SYO549^1 : TPTP v9.3.1. Released v5.2.0.
% 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 08:46:06 AM UTC 2026
% Result : Theorem 2.00s 1.11s
% Output : Refutation 2.31s
% Verified :
% SZS Type : Refutation
% Derivation depth : 4
% Number of leaves : 2
% Syntax : Number of formulae : 7 ( 2 unt; 0 typ; 0 def)
% Number of atoms : 17 ( 0 equ; 0 cnn)
% Maximal formula atoms : 3 ( 2 avg)
% Number of connectives : 21 ( 8 ~; 0 |; 0 &; 13 @)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 7 ( 4 avg)
% Number of types : 1 ( 0 usr)
% Number of type conns : 0 ( 0 >; 0 *; 0 +; 0 <<)
% Number of symbols : 4 ( 3 usr; 1 con; 0-2 aty)
% Number of variables : 3 ( 3 ^; 0 !; 0 ?; 3 :)
% Comments :
%------------------------------------------------------------------------------
thf(p_decl,type,
p: ( $o > $o ) > ( $o > $o ) > $o ).
thf(f_decl,type,
f: $o > $o ).
thf(g_decl,type,
g: $o > $o ).
thf(3,axiom,
( p
@ ^ [A: $o] :
( f
@ ~ ~ A )
@ g ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',pfg) ).
thf(5,plain,
p @ f @ g,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[3]) ).
thf(1,conjecture,
( p @ f
@ ^ [A: $o] :
( g
@ ~ ~ A ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',pfgc) ).
thf(2,negated_conjecture,
~ ( p @ f
@ ^ [A: $o] :
( g
@ ~ ~ A ) ),
inference(neg_conjecture,[status(cth)],[1]) ).
thf(4,plain,
~ ( p @ f @ g ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[2]) ).
thf(6,plain,
$false,
inference(rewrite,[status(thm)],[5,4]) ).
thf(7,plain,
$false,
inference(simp,[status(thm)],[6]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SYO549^1 : TPTP v9.3.1. Released v5.2.0.
% 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
% 0.10/0.20 % Computer : n015.cluster.edu
% 0.10/0.20 % Model : x86_64 x86_64
% 0.10/0.20 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.20 % Memory : 8046.5625MB
% 0.10/0.20 % OS : Linux 6.8.0-71-generic
% 0.10/0.20 % CPULimit : 300
% 0.10/0.20 % WCLimit : 300
% 0.10/0.20 % DateTime : Tue Sep 29 17:17:48 UTC 2026
% 0.10/0.20 % CPUTime :
% 0.10/0.20 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
% 0.65/0.51 % [INFO] Parsing problem /export/starexec/sandbox/benchmark/theBenchmark.p ...
% 0.88/0.60 % [INFO] Parsing done (91ms).
% 0.88/0.61 % [INFO] Running in sequential loop mode.
% 1.35/0.80 % [INFO] eprover registered as external prover.
% 1.35/0.80 % [INFO] Scanning for conjecture ...
% 1.35/0.84 % [INFO] Found a conjecture (or negated_conjecture) and 1 axioms. Running axiom selection ...
% 1.35/0.86 % [INFO] Axiom selection finished. Selected 1 axioms (removed 0 axioms).
% 1.35/0.86 % [INFO] Problem is higher-order (TPTP THF).
% 1.35/0.86 % [INFO] Type checking passed.
% 1.35/0.86 % [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 ...
% 2.00/1.11 % [INFO] Killing All external provers ...
% 2.00/1.11 % Time passed: 805ms (effective reasoning time: 494ms)
% 2.00/1.11 % 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)>
% 2.00/1.11 % Axioms used in derivation (1): pfg
% 2.00/1.11 % No. of inferences in proof: 7
% 2.00/1.11 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p : 805 ms resp. 494 ms w/o parsing
% 2.31/1.15 % SZS output start Refutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% See solution above
% 2.31/1.15 % [INFO] Killing All external provers ...
%------------------------------------------------------------------------------