%------------------------------------------------------------------------------
% File : Leo-III---1.8.0
% Problem : SYO235^5 : TPTP v9.3.1. Released v4.0.0.
% 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 : n005.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 08:45:27 AM UTC 2026
% Result : Theorem 3.69s 2.14s
% Output : Refutation 3.69s
% Verified :
% SZS Type : Refutation
% Derivation depth : 14
% Number of leaves : 1
% Syntax : Number of formulae : 23 ( 7 unt; 0 typ; 0 def)
% Number of atoms : 109 ( 24 equ; 0 cnn)
% Maximal formula atoms : 4 ( 4 avg)
% Number of connectives : 71 ( 27 ~; 24 |; 2 &; 6 @)
% ( 0 <=>; 12 =>; 0 <=; 0 <~>)
% Maximal formula depth : 7 ( 4 avg)
% Number of types : 1 ( 0 usr)
% Number of type conns : 3 ( 3 >; 0 *; 0 +; 0 <<)
% Number of symbols : 5 ( 2 usr; 4 con; 0-2 aty)
% Number of variables : 3 ( 0 ^; 3 !; 0 ?; 3 :)
% Comments :
%------------------------------------------------------------------------------
thf(cB_decl,type,
cB: $o ).
thf(cA_decl,type,
cA: $o ).
thf(1,conjecture,
( ( ! [A: $o > $o] :
( ( A @ cA )
=> ( A @ cB ) )
| ( cA = cB ) )
=> ( cA = cB ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cTHM505) ).
thf(2,negated_conjecture,
~ ( ( ! [A: $o > $o] :
( ( A @ cA )
=> ( A @ cB ) )
| ( cA = cB ) )
=> ( cA = cB ) ),
inference(neg_conjecture,[status(cth)],[1]) ).
thf(3,plain,
~ ( ( ! [A: $o > $o] :
( ( A @ cA )
=> ( A @ cB ) )
| ( cA = cB ) )
=> ( cA = cB ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[2]) ).
thf(4,plain,
~ ( ( ( $true
=> $true )
| ( cA = cB ) )
=> ( cA = cB ) ),
inference(instance,[status(thm)],[3]) ).
thf(5,plain,
cA != cB,
inference(simp,[status(thm)],[4]) ).
thf(16,plain,
cA != cB,
inference(lifteq,[status(thm)],[5]) ).
thf(9,plain,
~ ( ( ( ~ cA
=> ~ cB )
| ( cA = cB ) )
=> ( cA = cB ) ),
inference(instance,[status(thm)],[3]) ).
thf(13,plain,
( ( cA
| ~ cB
| ( cA = cB ) )
& ( cA != cB ) ),
inference(cnf,[status(esa)],[9]) ).
thf(14,plain,
( cA
| ~ cB
| ( cA = cB ) ),
inference(cnfConj,[status(thm)],[13]) ).
thf(17,plain,
( ( cA = cB )
| cA
| ~ cB ),
inference(lifteq,[status(thm)],[14]) ).
thf(24,plain,
( cA
| ~ cB ),
inference(simplifyReflect,[status(thm)],[17,16]) ).
thf(25,plain,
( ~ cB
| ~ cB
| ( cA != cA ) ),
inference(paramod_ordered,[status(thm)],[24,16]) ).
thf(26,plain,
( ~ cB
| ( cA != cA ) ),
inference(simp,[status(thm)],[25]) ).
thf(27,plain,
~ cB,
inference(pattern_uni,[status(thm)],[26:[]]) ).
thf(36,plain,
cA,
inference(rewrite,[status(thm)],[16,27]) ).
thf(8,plain,
~ ( ( ( cA
=> cB )
| ( cA = cB ) )
=> ( cA = cB ) ),
inference(instance,[status(thm)],[3]) ).
thf(10,plain,
( ( ~ cA
| cB
| ( cA = cB ) )
& ( cA != cB ) ),
inference(cnf,[status(esa)],[8]) ).
thf(11,plain,
( ~ cA
| cB
| ( cA = cB ) ),
inference(cnfConj,[status(thm)],[10]) ).
thf(20,plain,
( ( cA = cB )
| ~ cA
| cB ),
inference(lifteq,[status(thm)],[11]) ).
thf(40,plain,
( ~ cA
| ~ cA
| $false ),
inference(rewrite,[status(thm)],[20,27]) ).
thf(41,plain,
~ cA,
inference(simp,[status(thm)],[40]) ).
thf(42,plain,
$false,
inference(rewrite,[status(thm)],[36,41]) ).
thf(43,plain,
$false,
inference(simp,[status(thm)],[42]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SYO235^5 : TPTP v9.3.1. Released v4.0.0.
% 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
% 0.10/0.21 % Computer : n005.cluster.edu
% 0.10/0.21 % Model : x86_64 x86_64
% 0.10/0.21 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.21 % Memory : 8046.5625MB
% 0.10/0.21 % OS : Linux 6.8.0-71-generic
% 0.10/0.21 % CPULimit : 300
% 0.10/0.21 % WCLimit : 300
% 0.10/0.21 % DateTime : Tue Sep 29 16:40:16 UTC 2026
% 0.10/0.21 % CPUTime :
% 0.10/0.21 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
% 0.88/0.78 % [INFO] Parsing problem /export/starexec/sandbox2/benchmark/theBenchmark.p ...
% 1.23/0.97 % [INFO] Parsing done (180ms).
% 1.23/0.98 % [INFO] Running in sequential loop mode.
% 1.83/1.39 % [INFO] eprover registered as external prover.
% 1.83/1.40 % [INFO] Scanning for conjecture ...
% 2.04/1.48 % [INFO] Found a conjecture (or negated_conjecture) and 0 axioms. Running axiom selection ...
% 2.21/1.51 % [INFO] Axiom selection finished. Selected 0 axioms (removed 0 axioms).
% 2.21/1.51 % [INFO] Problem is higher-order (TPTP THF).
% 2.21/1.52 % [INFO] Type checking passed.
% 2.21/1.53 % [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 ...
% 3.69/2.13 % [INFO] Killing All external provers ...
% 3.69/2.14 % Time passed: 1778ms (effective reasoning time: 1149ms)
% 3.69/2.14 % 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)>
% 3.69/2.14 % Axioms used in derivation (0):
% 3.69/2.14 % No. of inferences in proof: 23
% 3.69/2.14 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p : 1778 ms resp. 1149 ms w/o parsing
% 3.69/2.17 % SZS output start Refutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% See solution above
% 3.69/2.17 % [INFO] Killing All external provers ...
%------------------------------------------------------------------------------