%------------------------------------------------------------------------------
% File : Leo-III---1.8.0
% Problem : SYO368_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 : n016.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 09:44:22 AM UTC 2026
% Result : Theorem 3.32s 2.11s
% Output : Refutation 3.64s
% Verified :
% SZS Type : Refutation
% Derivation depth : 13
% Number of leaves : 1
% Syntax : Number of formulae : 21 ( 6 unt; 0 typ; 0 def)
% Number of atoms : 78 ( 7 equ; 0 cnn)
% Maximal formula atoms : 8 ( 3 avg)
% Number of connectives : 67 ( 24 ~; 15 |; 7 &; 14 @)
% ( 2 <=>; 5 =>; 0 <=; 0 <~>)
% Maximal formula depth : 6 ( 3 avg)
% Number of types : 1 ( 0 usr)
% Number of type conns : 0 ( 0 >; 0 *; 0 +; 0 <<)
% Number of symbols : 6 ( 3 usr; 4 con; 0-2 aty)
% Number of variables : 0 ( 0 ^; 0 !; 0 ?; 0 :)
% Comments :
%------------------------------------------------------------------------------
thf(b_decl,type,
b: $o ).
thf(cP_decl,type,
cP: $o > $o ).
thf(a_decl,type,
a: $o ).
thf(1,conjecture,
( ( ( a @ cP )
& ( a
<=> b ) )
=> ( b @ cP ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cTRIVEXT1) ).
thf(2,negated_conjecture,
~ ( ( ( a @ cP )
& ( a
<=> b ) )
=> ( b @ cP ) ),
inference(neg_conjecture,[status(cth)],[1]) ).
thf(3,plain,
~ ( ( ( a @ cP )
& ( b
=> a )
& ( a
=> b ) )
=> ( b @ cP ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[2]) ).
thf(4,plain,
( ~ ( b @ cP )
& ( a @ cP )
& ( a
| ~ b )
& ( b
| ~ a ) ),
inference(cnf,[status(esa)],[3]) ).
thf(7,plain,
a @ cP,
inference(cnfConj,[status(thm)],[4]) ).
thf(8,plain,
~ ( b @ cP ),
inference(cnfConj,[status(thm)],[4]) ).
thf(9,plain,
( ( ( a @ cP )
!= ( b @ cP ) )
| ~ $true ),
inference(paramod_ordered,[status(thm)],[7,8]) ).
thf(10,plain,
( ( a @ cP )
!= ( b @ cP ) ),
inference(simp,[status(thm)],[9]) ).
thf(11,plain,
a != b,
inference(simp,[status(thm)],[10]) ).
thf(13,plain,
( b
| a ),
inference(bool_ext,[status(thm)],[11]) ).
thf(5,plain,
( b
| ~ a ),
inference(cnfConj,[status(thm)],[4]) ).
thf(25,plain,
( ( a != a )
| b
| ~ $true
| b ),
inference(paramod_ordered,[status(thm)],[13,5]) ).
thf(26,plain,
( ( a != a )
| b ),
inference(simp,[status(thm)],[25]) ).
thf(27,plain,
b,
inference(pattern_uni,[status(thm)],[26:[]]) ).
thf(6,plain,
( a
| ~ b ),
inference(cnfConj,[status(thm)],[4]) ).
thf(12,plain,
( ~ b
| ~ a ),
inference(bool_ext,[status(thm)],[11]) ).
thf(17,plain,
( ( a != a )
| ~ b
| ~ $true
| ~ b ),
inference(paramod_ordered,[status(thm)],[6,12]) ).
thf(18,plain,
( ( a != a )
| ~ b ),
inference(simp,[status(thm)],[17]) ).
thf(19,plain,
~ b,
inference(pattern_uni,[status(thm)],[18:[]]) ).
thf(43,plain,
$false,
inference(rewrite,[status(thm)],[27,19]) ).
thf(44,plain,
$false,
inference(simp,[status(thm)],[43]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : SYO368_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
% 0.13/0.39 % Computer : n016.cluster.edu
% 0.13/0.39 % Model : x86_64 x86_64
% 0.13/0.39 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.39 % Memory : 8046.5625MB
% 0.13/0.39 % OS : Linux 6.8.0-71-generic
% 0.13/0.39 % CPULimit : 300
% 0.13/0.39 % WCLimit : 300
% 0.13/0.39 % DateTime : Sat Sep 26 19:16:45 UTC 2026
% 0.13/0.39 % CPUTime :
% 0.13/0.39 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
% 0.70/0.74 % [INFO] Parsing problem /export/starexec/sandbox/benchmark/theBenchmark.p ...
% 1.06/0.92 % [INFO] Parsing done (175ms).
% 1.06/0.93 % [INFO] Running in sequential loop mode.
% 1.65/1.34 % [INFO] eprover registered as external prover.
% 1.65/1.35 % [INFO] Scanning for conjecture ...
% 1.86/1.43 % [INFO] Found a conjecture (or negated_conjecture) and 0 axioms. Running axiom selection ...
% 1.86/1.46 % [INFO] Axiom selection finished. Selected 0 axioms (removed 0 axioms).
% 1.86/1.46 % [INFO] Problem is typed first-order (TPTP TFF).
% 1.86/1.47 % [INFO] Type checking passed.
% 1.86/1.47 % [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 ...
% 3.32/2.11 % [INFO] Killing All external provers ...
% 3.32/2.11 % Time passed: 1628ms (effective reasoning time: 1169ms)
% 3.32/2.11 % 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)>
% 3.32/2.11 % Axioms used in derivation (0):
% 3.32/2.11 % No. of inferences in proof: 21
% 3.32/2.11 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p : 1628 ms resp. 1169 ms w/o parsing
% 3.64/2.14 % SZS output start Refutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% See solution above
% 3.64/2.14 % [INFO] Killing All external provers ...
%------------------------------------------------------------------------------