%------------------------------------------------------------------------------
% File : Leo-III---1.8.0
% Problem : SEV406^5 : 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 : 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 : Wed Sep 30 08:37:15 AM UTC 2026
% Result : Theorem 3.96s 2.24s
% Output : Refutation 3.96s
% Verified :
% SZS Type : Refutation
% Derivation depth : 14
% Number of leaves : 1
% Syntax : Number of formulae : 16 ( 6 unt; 0 typ; 0 def)
% Number of atoms : 76 ( 5 equ; 0 cnn)
% Maximal formula atoms : 8 ( 4 avg)
% Number of connectives : 126 ( 23 ~; 29 |; 4 &; 67 @)
% ( 0 <=>; 3 =>; 0 <=; 0 <~>)
% Maximal formula depth : 7 ( 4 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 0 ( 0 >; 0 *; 0 +; 0 <<)
% Number of symbols : 7 ( 4 usr; 3 con; 0-2 aty)
% Number of variables : 16 ( 16 ^; 0 !; 0 ?; 16 :)
% Comments :
%------------------------------------------------------------------------------
thf(cA_decl,type,
cA: $i > $o ).
thf(cB_decl,type,
cB: $i > $o ).
thf(cP_decl,type,
cP: ( $i > $o ) > $o ).
thf(sk1_decl,type,
sk1: $i ).
thf(1,conjecture,
( ( cP
@ ^ [A: $i] :
( ( cA @ A )
| ( cB @ A ) ) )
=> ( cP
@ ^ [A: $i] :
( ( cB @ A )
| ( cA @ A ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cTRIVEXT2_pme) ).
thf(2,negated_conjecture,
~ ( ( cP
@ ^ [A: $i] :
( ( cA @ A )
| ( cB @ A ) ) )
=> ( cP
@ ^ [A: $i] :
( ( cB @ A )
| ( cA @ A ) ) ) ),
inference(neg_conjecture,[status(cth)],[1]) ).
thf(3,plain,
~ ( ( cP
@ ^ [A: $i] :
( ( cA @ A )
| ( cB @ A ) ) )
=> ( cP
@ ^ [A: $i] :
( ( cB @ A )
| ( cA @ A ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[2]) ).
thf(4,plain,
( ( cP
@ ^ [A: $i] :
( ( cA @ A )
| ( cB @ A ) ) )
& ~ ( cP
@ ^ [A: $i] :
( ( cB @ A )
| ( cA @ A ) ) ) ),
inference(cnf,[status(esa)],[3]) ).
thf(5,plain,
( cP
@ ^ [A: $i] :
( ( cA @ A )
| ( cB @ A ) ) ),
inference(cnfConj,[status(thm)],[4]) ).
thf(6,plain,
~ ( cP
@ ^ [A: $i] :
( ( cB @ A )
| ( cA @ A ) ) ),
inference(cnfConj,[status(thm)],[4]) ).
thf(7,plain,
( ~ $true
| ( ( cP
@ ^ [A: $i] :
( ( cA @ A )
| ( cB @ A ) ) )
!= ( cP
@ ^ [A: $i] :
( ( cB @ A )
| ( cA @ A ) ) ) ) ),
inference(paramod_ordered,[status(thm)],[5,6]) ).
thf(8,plain,
( ( cP
@ ^ [A: $i] :
( ( cA @ A )
| ( cB @ A ) ) )
!= ( cP
@ ^ [A: $i] :
( ( cB @ A )
| ( cA @ A ) ) ) ),
inference(simp,[status(thm)],[7]) ).
thf(9,plain,
( ( ^ [A: $i] :
( ( cA @ A )
| ( cB @ A ) ) )
!= ( ^ [A: $i] :
( ( cB @ A )
| ( cA @ A ) ) ) ),
inference(simp,[status(thm)],[8]) ).
thf(11,plain,
( ( ( cA @ sk1 )
| ( cB @ sk1 ) )
!= ( ( cB @ sk1 )
| ( cA @ sk1 ) ) ),
inference(func_ext,[status(esa)],[9]) ).
thf(22,plain,
( ~ ( ( cA @ sk1 )
| ( cB @ sk1 ) )
| ~ ( ( cB @ sk1 )
| ( cA @ sk1 ) ) ),
inference(bool_ext,[status(thm)],[11]) ).
thf(31,plain,
( ( ~ ( cA @ sk1 )
| ~ ( cB @ sk1 ) )
& ( ~ ( cA @ sk1 )
| ~ ( cA @ sk1 ) )
& ( ~ ( cB @ sk1 )
| ~ ( cB @ sk1 ) )
& ( ~ ( cB @ sk1 )
| ~ ( cA @ sk1 ) ) ),
inference(cnf,[status(esa)],[22]) ).
thf(33,plain,
( ~ ( cA @ sk1 )
| ~ ( cA @ sk1 ) ),
inference(cnfConj,[status(thm)],[31]) ).
thf(35,plain,
~ ( cA @ sk1 ),
inference(simp,[status(thm)],[33]) ).
thf(45,plain,
( ( $false
| ( cB @ sk1 ) )
!= ( ( cB @ sk1 )
| $false ) ),
inference(rewrite,[status(thm)],[11,35]) ).
thf(46,plain,
$false,
inference(simp,[status(thm)],[45]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : SEV406^5 : TPTP v9.3.1. Released v4.0.0.
% 0.00/0.07 % 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
% 0.09/0.19 % Computer : n003.cluster.edu
% 0.09/0.19 % Model : x86_64 x86_64
% 0.09/0.19 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.19 % Memory : 8046.5625MB
% 0.09/0.19 % OS : Linux 6.8.0-71-generic
% 0.09/0.19 % CPULimit : 300
% 0.09/0.19 % WCLimit : 300
% 0.09/0.19 % DateTime : Tue Sep 29 15:46:43 UTC 2026
% 0.09/0.20 % CPUTime :
% 0.09/0.20 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
% 0.90/0.78 % [INFO] Parsing problem /export/starexec/sandbox2/benchmark/theBenchmark.p ...
% 1.25/0.96 % [INFO] Parsing done (186ms).
% 1.25/0.98 % [INFO] Running in sequential loop mode.
% 1.86/1.39 % [INFO] eprover registered as external prover.
% 1.86/1.39 % [INFO] Scanning for conjecture ...
% 2.06/1.47 % [INFO] Found a conjecture (or negated_conjecture) and 0 axioms. Running axiom selection ...
% 2.23/1.50 % [INFO] Axiom selection finished. Selected 0 axioms (removed 0 axioms).
% 2.23/1.51 % [INFO] Problem is higher-order (TPTP THF).
% 2.23/1.51 % [INFO] Type checking passed.
% 2.23/1.51 % [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 ...
% 3.96/2.23 % [INFO] Killing All external provers ...
% 3.96/2.23 % Time passed: 1898ms (effective reasoning time: 1245ms)
% 3.96/2.23 % 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)>
% 3.96/2.23 % Axioms used in derivation (0):
% 3.96/2.23 % No. of inferences in proof: 16
% 3.96/2.24 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p : 1898 ms resp. 1245 ms w/o parsing
% 3.96/2.28 % SZS output start Refutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% See solution above
% 3.96/2.28 % [INFO] Killing All external provers ...
%------------------------------------------------------------------------------