%------------------------------------------------------------------------------
% File : Leo-III---1.8.0
% Problem : SYN057^5 : TPTP v9.3.1. Released v4.0.0.
% 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 : n002.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 08:41:30 AM UTC 2026
% Result : Theorem 3.39s 2.08s
% Output : Refutation 3.39s
% Verified :
% SZS Type : Refutation
% Derivation depth : 3
% Number of leaves : 1
% Syntax : Number of formulae : 4 ( 1 unt; 0 typ; 0 def)
% Number of atoms : 40 ( 0 equ; 0 cnn)
% Maximal formula atoms : 13 ( 10 avg)
% Number of connectives : 89 ( 14 ~; 0 |; 18 &; 39 @)
% ( 0 <=>; 18 =>; 0 <=; 0 <~>)
% Maximal formula depth : 10 ( 8 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 0 ( 0 >; 0 *; 0 +; 0 <<)
% Number of symbols : 6 ( 5 usr; 1 con; 0-1 aty)
% Number of variables : 18 ( 0 ^; 12 !; 6 ?; 18 :)
% Comments :
%------------------------------------------------------------------------------
thf(cI_decl,type,
cI: $i > $o ).
thf(cJ_decl,type,
cJ: $i > $o ).
thf(cH_decl,type,
cH: $i > $o ).
thf(cG_decl,type,
cG: $i > $o ).
thf(cF_decl,type,
cF: $i > $o ).
thf(1,conjecture,
( ( ? [A: $i] :
( ( cF @ A )
& ~ ( cG @ A ) )
& ! [A: $i] :
( ( cF @ A )
=> ( cH @ A ) )
& ! [A: $i] :
( ( ( cJ @ A )
& ( cI @ A ) )
=> ( cF @ A ) )
& ( ? [A: $i] :
( ( cH @ A )
& ~ ( cG @ A ) )
=> ! [A: $i] :
( ( cI @ A )
=> ~ ( cH @ A ) ) ) )
=> ! [A: $i] :
( ( cJ @ A )
=> ~ ( cI @ A ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cPELL27) ).
thf(2,negated_conjecture,
~ ( ( ? [A: $i] :
( ( cF @ A )
& ~ ( cG @ A ) )
& ! [A: $i] :
( ( cF @ A )
=> ( cH @ A ) )
& ! [A: $i] :
( ( ( cJ @ A )
& ( cI @ A ) )
=> ( cF @ A ) )
& ( ? [A: $i] :
( ( cH @ A )
& ~ ( cG @ A ) )
=> ! [A: $i] :
( ( cI @ A )
=> ~ ( cH @ A ) ) ) )
=> ! [A: $i] :
( ( cJ @ A )
=> ~ ( cI @ A ) ) ),
inference(neg_conjecture,[status(cth)],[1]) ).
thf(3,plain,
~ ( ( ? [A: $i] :
( ( cF @ A )
& ~ ( cG @ A ) )
& ! [A: $i] :
( ( cF @ A )
=> ( cH @ A ) )
& ! [A: $i] :
( ( ( cJ @ A )
& ( cI @ A ) )
=> ( cF @ A ) )
& ( ? [A: $i] :
( ( cH @ A )
& ~ ( cG @ A ) )
=> ! [A: $i] :
( ( cI @ A )
=> ~ ( cH @ A ) ) ) )
=> ! [A: $i] :
( ( cJ @ A )
=> ~ ( cI @ A ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[2]) ).
thf(14,plain,
$false,
inference(e,[status(thm)],[3]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SYN057^5 : TPTP v9.3.1. Released v4.0.0.
% 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
% 0.09/0.21 % Computer : n002.cluster.edu
% 0.09/0.21 % Model : x86_64 x86_64
% 0.09/0.21 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.21 % Memory : 8046.5625MB
% 0.09/0.21 % OS : Linux 6.8.0-71-generic
% 0.09/0.21 % CPULimit : 300
% 0.09/0.21 % WCLimit : 300
% 0.09/0.21 % DateTime : Tue Sep 29 16:17:22 UTC 2026
% 0.09/0.21 % CPUTime :
% 0.09/0.21 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
% 0.90/0.80 % [INFO] Parsing problem /export/starexec/sandbox/benchmark/theBenchmark.p ...
% 1.25/0.98 % [INFO] Parsing done (180ms).
% 1.25/0.99 % [INFO] Running in sequential loop mode.
% 1.84/1.39 % [INFO] eprover registered as external prover.
% 2.04/1.40 % [INFO] Scanning for conjecture ...
% 2.04/1.50 % [INFO] Found a conjecture (or negated_conjecture) and 0 axioms. Running axiom selection ...
% 2.24/1.53 % [INFO] Axiom selection finished. Selected 0 axioms (removed 0 axioms).
% 2.24/1.54 % [INFO] Problem is higher-order (TPTP THF).
% 2.24/1.55 % [INFO] Type checking passed.
% 2.24/1.55 % [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 ...
% 3.39/2.08 % External prover 'e' found a proof!
% 3.39/2.08 % [INFO] Killing All external provers ...
% 3.39/2.08 % Time passed: 1729ms (effective reasoning time: 1083ms)
% 3.39/2.08 % 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)>
% 3.39/2.08 % Axioms used in derivation (0):
% 3.39/2.08 % No. of inferences in proof: 4
% 3.39/2.08 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p : 1729 ms resp. 1083 ms w/o parsing
% 3.39/2.12 % SZS output start Refutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% See solution above
% 3.39/2.12 % [INFO] Killing All external provers ...
%------------------------------------------------------------------------------