%------------------------------------------------------------------------------
% File : Leo-III---1.8.0
% Problem : SYO526^1 : TPTP v9.3.1. Released v5.2.0.
% Transfm : none
% Format : tptp:raw
% Command : java -Xss128m -Xmx2g -Xms1g -jar /export/starexec/sandbox2/solver/bin/leo3.jar /export/starexec/sandbox2/benchmark/theBenchmark.p -t 300 -p --atp eprover=/export/starexec/sandbox2/solver/bin/externals/eprover --instantiate 39
% Computer : n017.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 08:46:03 AM UTC 2026
% Result : Theorem 3.79s 2.21s
% Output : Refutation 3.79s
% Verified :
% SZS Type : Refutation
% Derivation depth : 5
% Number of leaves : 4
% Syntax : Number of formulae : 16 ( 16 unt; 0 typ; 0 def)
% Number of atoms : 46 ( 15 equ; 0 cnn)
% Maximal formula atoms : 1 ( 2 avg)
% Number of connectives : 4 ( 4 ~; 0 |; 0 &; 0 @)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 2 ( 1 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 0 ( 0 >; 0 *; 0 +; 0 <<)
% Number of symbols : 6 ( 4 usr; 3 con; 0-2 aty)
% Number of variables : 9 ( 9 ^; 0 !; 0 ?; 9 :)
% Comments :
%------------------------------------------------------------------------------
thf(a_decl,type,
a: $o ).
thf(b_decl,type,
b: $o ).
thf(f_decl,type,
f: $i > $o ).
thf(g_decl,type,
g: $i > $o ).
thf(4,axiom,
f = g,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fg) ).
thf(10,plain,
f = g,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[4]) ).
thf(11,plain,
g = f,
inference(lifteq,[status(thm)],[10]) ).
thf(5,axiom,
( f
= ( ^ [A: $i] : a ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fa) ).
thf(12,plain,
( f
= ( ^ [A: $i] : a ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[5]) ).
thf(13,plain,
( f
= ( ^ [A: $i] : a ) ),
inference(lifteq,[status(thm)],[12]) ).
thf(19,plain,
( g
= ( ^ [A: $i] : a ) ),
inference(rewrite,[status(thm)],[11,13]) ).
thf(1,conjecture,
( g
= ( ^ [A: $i] : b ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',gb) ).
thf(2,negated_conjecture,
( g
!= ( ^ [A: $i] : b ) ),
inference(neg_conjecture,[status(cth)],[1]) ).
thf(6,plain,
( g
!= ( ^ [A: $i] : b ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[2]) ).
thf(7,plain,
( g
!= ( ^ [A: $i] : b ) ),
inference(lifteq,[status(thm)],[6]) ).
thf(3,axiom,
a = b,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ab) ).
thf(8,plain,
a = b,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[3]) ).
thf(9,plain,
b = a,
inference(lifteq,[status(thm)],[8]) ).
thf(15,plain,
( g
!= ( ^ [A: $i] : a ) ),
inference(rewrite,[status(thm)],[7,9]) ).
thf(25,plain,
$false,
inference(simplifyReflect,[status(thm)],[19,15]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SYO526^1 : TPTP v9.3.1. Released v5.2.0.
% 0.00/0.08 % Command : java -Xss128m -Xmx2g -Xms1g -jar /export/starexec/sandbox2/solver/bin/leo3.jar /export/starexec/sandbox2/benchmark/theBenchmark.p -t 300 -p --atp eprover=/export/starexec/sandbox2/solver/bin/externals/eprover --instantiate 39
% 0.11/0.23 % Computer : n017.cluster.edu
% 0.11/0.23 % Model : x86_64 x86_64
% 0.11/0.23 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.23 % Memory : 8046.5625MB
% 0.11/0.23 % OS : Linux 6.8.0-71-generic
% 0.11/0.23 % CPULimit : 300
% 0.11/0.23 % WCLimit : 300
% 0.11/0.23 % DateTime : Tue Sep 29 17:08:07 UTC 2026
% 0.11/0.24 % CPUTime :
% 0.11/0.24 Running java -Xss128m -Xmx2g -Xms1g -jar /export/starexec/sandbox2/solver/bin/leo3.jar /export/starexec/sandbox2/benchmark/theBenchmark.p -t 300 -p --atp eprover=/export/starexec/sandbox2/solver/bin/externals/eprover --instantiate 39
% 1.04/0.82 % [INFO] Parsing problem /export/starexec/sandbox2/benchmark/theBenchmark.p ...
% 1.22/1.01 % [INFO] Parsing done (181ms).
% 1.22/1.02 % [INFO] Running in sequential loop mode.
% 1.98/1.46 % [INFO] eprover registered as external prover.
% 1.98/1.47 % [INFO] Scanning for conjecture ...
% 2.20/1.55 % [INFO] Found a conjecture (or negated_conjecture) and 3 axioms. Running axiom selection ...
% 2.20/1.58 % [INFO] Axiom selection finished. Selected 3 axioms (removed 0 axioms).
% 2.20/1.59 % [INFO] Problem is higher-order (TPTP THF).
% 2.20/1.60 % [INFO] Type checking passed.
% 2.37/1.60 % [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 ...
% 3.79/2.20 % [INFO] Killing All external provers ...
% 3.79/2.21 % Time passed: 1823ms (effective reasoning time: 1175ms)
% 3.79/2.21 % 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)>
% 3.79/2.21 % Axioms used in derivation (3): fg, fa, ab
% 3.79/2.21 % No. of inferences in proof: 16
% 3.79/2.21 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p : 1823 ms resp. 1175 ms w/o parsing
% 3.79/2.24 % SZS output start Refutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% See solution above
% 3.79/2.24 % [INFO] Killing All external provers ...
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