%------------------------------------------------------------------------------
% File : Leo-III---1.8.0
% Problem : SYO369_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 : n004.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 3.47s 2.26s
% Output : Refutation 3.74s
% Verified :
% SZS Type : Refutation
% Derivation depth : 13
% Number of leaves : 1
% Syntax : Number of formulae : 15 ( 5 unt; 0 typ; 0 def)
% Number of atoms : 71 ( 4 equ; 0 cnn)
% Maximal formula atoms : 8 ( 4 avg)
% Number of connectives : 73 ( 25 ~; 17 |; 4 &; 14 @)
% ( 0 <=>; 13 =>; 0 <=; 0 <~>)
% Maximal formula depth : 6 ( 4 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(cB_decl,type,
cB: $o ).
thf(cA_decl,type,
cA: $o ).
thf(cP_decl,type,
cP: $o > $o ).
thf(1,conjecture,
( ( ( cA
=> cB )
@ cP )
=> ( ( cB
| ~ cA )
@ cP ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cTRIVEXT5) ).
thf(2,negated_conjecture,
~ ( ( ( cA
=> cB )
@ cP )
=> ( ( cB
| ~ cA )
@ cP ) ),
inference(neg_conjecture,[status(cth)],[1]) ).
thf(3,plain,
~ ( ( ( cA
=> cB )
@ cP )
=> ( ( cB
| ~ cA )
@ cP ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[2]) ).
thf(4,plain,
( ~ ( ( cB
| ~ cA )
@ cP )
& ( ( cA
=> cB )
@ cP ) ),
inference(cnf,[status(esa)],[3]) ).
thf(5,plain,
( ( cA
=> cB )
@ cP ),
inference(cnfConj,[status(thm)],[4]) ).
thf(6,plain,
~ ( ( cB
| ~ cA )
@ cP ),
inference(cnfConj,[status(thm)],[4]) ).
thf(7,plain,
( ( ( ( cA
=> cB )
@ cP )
!= ( ( cB
| ~ cA )
@ cP ) )
| ~ $true ),
inference(paramod_ordered,[status(thm)],[5,6]) ).
thf(8,plain,
( ( ( cA
=> cB )
@ cP )
!= ( ( cB
| ~ cA )
@ cP ) ),
inference(simp,[status(thm)],[7]) ).
thf(9,plain,
( ( cA
=> cB )
!= ( cB
| ~ cA ) ),
inference(simp,[status(thm)],[8]) ).
thf(10,plain,
( ~ ( cB
| ~ cA )
| ~ ( cA
=> cB ) ),
inference(bool_ext,[status(thm)],[9]) ).
thf(12,plain,
( ( ~ cB
| ~ cB )
& ( cA
| ~ cB )
& ( ~ cB
| cA )
& ( cA
| cA ) ),
inference(cnf,[status(esa)],[10]) ).
thf(13,plain,
( cA
| cA ),
inference(cnfConj,[status(thm)],[12]) ).
thf(16,plain,
cA,
inference(simp,[status(thm)],[13]) ).
thf(24,plain,
( ( $true
=> cB )
!= ( cB
| ~ $true ) ),
inference(rewrite,[status(thm)],[9,16]) ).
thf(25,plain,
$false,
inference(simp,[status(thm)],[24]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SYO369_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
% 0.14/0.41 % Computer : n004.cluster.edu
% 0.14/0.41 % Model : x86_64 x86_64
% 0.14/0.41 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.41 % Memory : 8046.5625MB
% 0.14/0.41 % OS : Linux 6.8.0-71-generic
% 0.14/0.41 % CPULimit : 300
% 0.14/0.41 % WCLimit : 300
% 0.14/0.41 % DateTime : Sat Sep 26 19:12:06 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
% 0.91/0.98 % [INFO] Parsing problem /export/starexec/sandbox/benchmark/theBenchmark.p ...
% 1.32/1.16 % [INFO] Parsing done (170ms).
% 1.32/1.17 % [INFO] Running in sequential loop mode.
% 1.89/1.57 % [INFO] eprover registered as external prover.
% 1.89/1.58 % [INFO] Scanning for conjecture ...
% 2.11/1.66 % [INFO] Found a conjecture (or negated_conjecture) and 0 axioms. Running axiom selection ...
% 2.11/1.69 % [INFO] Axiom selection finished. Selected 0 axioms (removed 0 axioms).
% 2.11/1.69 % [INFO] Problem is typed first-order (TPTP TFF).
% 2.11/1.69 % [INFO] Type checking passed.
% 2.30/1.70 % [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 ...
% 3.47/2.25 % [INFO] Killing All external provers ...
% 3.47/2.26 % Time passed: 1702ms (effective reasoning time: 1079ms)
% 3.47/2.26 % 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)>
% 3.47/2.26 % Axioms used in derivation (0):
% 3.47/2.26 % No. of inferences in proof: 15
% 3.47/2.26 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p : 1702 ms resp. 1079 ms w/o parsing
% 3.74/2.30 % SZS output start Refutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% See solution above
% 3.74/2.30 % [INFO] Killing All external provers ...
%------------------------------------------------------------------------------