%------------------------------------------------------------------------------
% File : Leo-III---1.8.0
% Problem : SYO384^5 : 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 : n018.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 08:45:42 AM UTC 2026
% Result : Theorem 2.73s 1.74s
% Output : Refutation 3.01s
% Verified :
% SZS Type : Refutation
% Derivation depth : 3
% Number of leaves : 1
% Syntax : Number of formulae : 4 ( 2 unt; 0 typ; 0 def)
% Number of atoms : 42 ( 0 equ; 0 cnn)
% Maximal formula atoms : 20 ( 10 avg)
% Number of connectives : 136 ( 2 ~; 0 |; 12 &; 96 @)
% ( 0 <=>; 26 =>; 0 <=; 0 <~>)
% Maximal formula depth : 16 ( 9 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 0 ( 0 >; 0 *; 0 +; 0 <<)
% Number of symbols : 5 ( 3 usr; 2 con; 0-3 aty)
% Number of variables : 68 ( 0 ^; 44 !; 24 ?; 68 :)
% Comments :
%------------------------------------------------------------------------------
thf(cD_decl,type,
cD: $i > $i > $i > $o ).
thf(cF_decl,type,
cF: $i > $i > $o ).
thf(cS_decl,type,
cS: $i > $i > $o ).
thf(1,conjecture,
( ( ( ! [A: $i] :
? [B: $i] : ( cF @ A @ B )
& ? [A: $i] :
! [B: $i] :
? [C: $i] :
! [D: $i] :
( ( cS @ C @ D )
=> ( cD @ D @ A @ B ) )
& ! [A: $i] :
? [B: $i] :
! [C: $i,D: $i] :
( ( cD @ C @ D @ B )
=> ! [E: $i,F: $i] :
( ( ( cF @ C @ E )
& ( cF @ D @ F ) )
=> ( cD @ E @ F @ A ) ) ) )
=> ? [A: $i] :
! [B: $i] :
? [C: $i] :
! [D: $i] :
( ( cS @ C @ D )
=> ! [E: $i] :
( ( cF @ D @ E )
=> ( cD @ E @ A @ B ) ) ) )
=> ( ( ! [A: $i] :
? [B: $i] : ( cF @ A @ B )
& ? [A: $i] :
! [B: $i] :
? [C: $i] :
! [D: $i] :
( ( cS @ C @ D )
=> ( cD @ D @ A @ B ) )
& ! [A: $i] :
? [B: $i] :
! [C: $i,D: $i] :
( ( cD @ C @ D @ B )
=> ! [E: $i,F: $i] :
( ( ( cF @ C @ E )
& ( cF @ D @ F ) )
=> ( cD @ E @ F @ A ) ) ) )
=> ? [A: $i] :
! [B: $i] :
? [C: $i] :
! [D: $i] :
( ( cS @ C @ D )
=> ! [E: $i] :
( ( cF @ D @ E )
=> ( cD @ E @ A @ B ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cTHM408) ).
thf(2,negated_conjecture,
~ ( ( ( ! [A: $i] :
? [B: $i] : ( cF @ A @ B )
& ? [A: $i] :
! [B: $i] :
? [C: $i] :
! [D: $i] :
( ( cS @ C @ D )
=> ( cD @ D @ A @ B ) )
& ! [A: $i] :
? [B: $i] :
! [C: $i,D: $i] :
( ( cD @ C @ D @ B )
=> ! [E: $i,F: $i] :
( ( ( cF @ C @ E )
& ( cF @ D @ F ) )
=> ( cD @ E @ F @ A ) ) ) )
=> ? [A: $i] :
! [B: $i] :
? [C: $i] :
! [D: $i] :
( ( cS @ C @ D )
=> ! [E: $i] :
( ( cF @ D @ E )
=> ( cD @ E @ A @ B ) ) ) )
=> ( ( ! [A: $i] :
? [B: $i] : ( cF @ A @ B )
& ? [A: $i] :
! [B: $i] :
? [C: $i] :
! [D: $i] :
( ( cS @ C @ D )
=> ( cD @ D @ A @ B ) )
& ! [A: $i] :
? [B: $i] :
! [C: $i,D: $i] :
( ( cD @ C @ D @ B )
=> ! [E: $i,F: $i] :
( ( ( cF @ C @ E )
& ( cF @ D @ F ) )
=> ( cD @ E @ F @ A ) ) ) )
=> ? [A: $i] :
! [B: $i] :
? [C: $i] :
! [D: $i] :
( ( cS @ C @ D )
=> ! [E: $i] :
( ( cF @ D @ E )
=> ( cD @ E @ A @ B ) ) ) ) ),
inference(neg_conjecture,[status(cth)],[1]) ).
thf(3,plain,
~ $true,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[2]) ).
thf(4,plain,
$false,
inference(simp,[status(thm)],[3]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SYO384^5 : TPTP v9.3.1. Released v4.0.0.
% 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
% 0.10/0.20 % Computer : n018.cluster.edu
% 0.10/0.20 % Model : x86_64 x86_64
% 0.10/0.20 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.20 % Memory : 8046.5625MB
% 0.10/0.20 % 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 16:52:11 UTC 2026
% 0.10/0.21 % CPUTime :
% 0.10/0.21 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
% 0.91/0.79 % [INFO] Parsing problem /export/starexec/sandbox/benchmark/theBenchmark.p ...
% 1.27/0.98 % [INFO] Parsing done (188ms).
% 1.27/0.99 % [INFO] Running in sequential loop mode.
% 2.15/1.40 % [INFO] eprover registered as external prover.
% 2.15/1.41 % [INFO] Scanning for conjecture ...
% 2.37/1.52 % [INFO] Found a conjecture (or negated_conjecture) and 0 axioms. Running axiom selection ...
% 2.37/1.56 % [INFO] Axiom selection finished. Selected 0 axioms (removed 0 axioms).
% 2.37/1.57 % [INFO] Problem is higher-order (TPTP THF).
% 2.37/1.57 % [INFO] Type checking passed.
% 2.37/1.58 % [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 ...
% 2.73/1.73 % [INFO] Killing All external provers ...
% 2.73/1.73 % Time passed: 1378ms (effective reasoning time: 734ms)
% 2.73/1.73 % 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)>
% 2.73/1.74 % Axioms used in derivation (0):
% 2.73/1.74 % No. of inferences in proof: 4
% 2.73/1.74 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p : 1378 ms resp. 734 ms w/o parsing
% 3.01/1.80 % SZS output start Refutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% See solution above
% 3.01/1.80 % [INFO] Killing All external provers ...
%------------------------------------------------------------------------------