%------------------------------------------------------------------------------
% File : Leo-III---1.8.0
% Problem : SYO365_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 : n003.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 09:44:21 AM UTC 2026
% Result : Theorem 3.23s 2.23s
% Output : Refutation 3.23s
% Verified :
% SZS Type : Refutation
% Derivation depth : 3
% Number of leaves : 3
% Syntax : Number of formulae : 8 ( 5 unt; 0 typ; 0 def)
% Number of atoms : 20 ( 5 equ; 0 cnn)
% Maximal formula atoms : 2 ( 2 avg)
% Number of connectives : 16 ( 4 ~; 0 |; 1 &; 2 @)
% ( 1 <=>; 8 =>; 0 <=; 0 <~>)
% Maximal formula depth : 3 ( 2 avg)
% Number of types : 1 ( 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 : 4 ( 0 ^; 4 !; 0 ?; 4 :)
% Comments :
%------------------------------------------------------------------------------
thf(cA_decl,type,
cA: $o ).
thf(cC_decl,type,
cC: $o > $o ).
thf(cEXT2_decl,type,
cEXT2: $o ).
thf(cEXT_eq_0_decl,type,
cEXT_eq_0: $o ).
thf(1,conjecture,
( cEXT_eq_0
=> cEXT2 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cEXT2A) ).
thf(2,negated_conjecture,
~ ( cEXT_eq_0
=> cEXT2 ),
inference(neg_conjecture,[status(cth)],[1]) ).
thf(5,plain,
~ ( cEXT_eq_0
=> cEXT2 ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[2]) ).
thf(3,axiom,
( cEXT_eq_0
= ( ! [A: $o,B: $o] :
( ( A
<=> B )
=> ( A = B ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cEXT_eq_0_def) ).
thf(9,plain,
( cEXT_eq_0
= ( ! [A: $o,B: $o] :
( ( ( B
=> A )
& ( A
=> B ) )
=> ( A = B ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[3]) ).
thf(4,axiom,
( cEXT2
= ( ( cA @ cC )
=> ( ~ ~ cA
@ cC ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cEXT2_def) ).
thf(11,plain,
cEXT2,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[4]) ).
thf(12,plain,
$false,
inference(e,[status(thm)],[5,9,11]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : SYO365_8 : TPTP v9.3.1. Released v8.0.0.
% 0.00/0.07 % 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
% 0.14/0.40 % Computer : n003.cluster.edu
% 0.14/0.40 % Model : x86_64 x86_64
% 0.14/0.40 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.40 % Memory : 8046.5625MB
% 0.14/0.40 % OS : Linux 6.8.0-71-generic
% 0.14/0.40 % CPULimit : 300
% 0.14/0.40 % WCLimit : 300
% 0.14/0.40 % DateTime : Sat Sep 26 19:13:39 UTC 2026
% 0.14/0.41 % CPUTime :
% 0.14/0.41 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
% 0.88/0.99 % [INFO] Parsing problem /export/starexec/sandbox/benchmark/theBenchmark.p ...
% 1.26/1.17 % [INFO] Parsing done (180ms).
% 1.26/1.19 % [INFO] Running in sequential loop mode.
% 2.00/1.60 % [INFO] eprover registered as external prover.
% 2.00/1.61 % [INFO] Scanning for conjecture ...
% 2.00/1.66 % [INFO] Definitions in FOF are currently treated as axioms.
% 2.00/1.68 % [INFO] Definitions in FOF are currently treated as axioms.
% 2.19/1.71 % [INFO] Found a conjecture (or negated_conjecture) and 2 axioms. Running axiom selection ...
% 2.19/1.74 % [INFO] Axiom selection finished. Selected 2 axioms (removed 0 axioms).
% 2.19/1.74 % [INFO] Definitions in FOF are currently treated as axioms.
% 2.19/1.74 % [INFO] Definitions in FOF are currently treated as axioms.
% 2.19/1.74 % [INFO] Problem is typed first-order (TPTP TFF).
% 2.19/1.75 % [INFO] Type checking passed.
% 2.19/1.75 % [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 ...
% 3.23/2.23 % External prover 'e' found a proof!
% 3.23/2.23 % [INFO] Killing All external provers ...
% 3.23/2.23 % Time passed: 1682ms (effective reasoning time: 1034ms)
% 3.23/2.23 % 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)>
% 3.23/2.23 % Axioms used in derivation (2): cEXT_eq_0_def, cEXT2_def
% 3.23/2.23 % No. of inferences in proof: 8
% 3.23/2.23 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p : 1682 ms resp. 1034 ms w/o parsing
% 3.23/2.27 % SZS output start Refutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% See solution above
% 3.23/2.27 % [INFO] Killing All external provers ...
%------------------------------------------------------------------------------