%------------------------------------------------------------------------------
% File : Leo-III---1.8.0
% Problem : SYO175^5 : 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 08:45:20 AM UTC 2026
% Result : Theorem 3.51s 2.11s
% Output : Refutation 3.81s
% 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 : 49 ( 0 equ; 0 cnn)
% Maximal formula atoms : 16 ( 12 avg)
% Number of connectives : 152 ( 11 ~; 3 |; 36 &; 96 @)
% ( 0 <=>; 6 =>; 0 <=; 0 <~>)
% Maximal formula depth : 21 ( 16 avg)
% Number of types : 3 ( 2 usr)
% Number of type conns : 0 ( 0 >; 0 *; 0 +; 0 <<)
% Number of symbols : 10 ( 9 usr; 7 con; 0-2 aty)
% Number of variables : 24 ( 0 ^; 9 !; 15 ?; 24 :)
% Comments :
%------------------------------------------------------------------------------
thf(p_type,type,
p: $tType ).
thf(a_type,type,
a: $tType ).
thf(cGRAIN_decl,type,
cGRAIN: p ).
thf(cVEG_EATS_decl,type,
cVEG_EATS: a > p > $o ).
thf(cMEAT_EATS_decl,type,
cMEAT_EATS: a > a > $o ).
thf(cSNAIL_decl,type,
cSNAIL: a ).
thf(cCATERPILLAR_decl,type,
cCATERPILLAR: a ).
thf(cBIRD_decl,type,
cBIRD: a ).
thf(cWOLF_decl,type,
cWOLF: a ).
thf(cFOX_decl,type,
cFOX: a ).
thf(cSMALLER_decl,type,
cSMALLER: a > a > $o ).
thf(1,conjecture,
( ( ! [A: a] :
( ! [B: p] : ( cVEG_EATS @ A @ B )
| ! [B: a] :
( ( ( cSMALLER @ B @ A )
& ? [C: p] : ( cVEG_EATS @ B @ C ) )
=> ( cMEAT_EATS @ A @ B ) ) )
& ( cSMALLER @ cCATERPILLAR @ cBIRD )
& ( cSMALLER @ cSNAIL @ cBIRD )
& ( cSMALLER @ cBIRD @ cFOX )
& ( cSMALLER @ cFOX @ cWOLF )
& ~ ( cMEAT_EATS @ cWOLF @ cFOX )
& ~ ( cVEG_EATS @ cWOLF @ cGRAIN )
& ( cMEAT_EATS @ cBIRD @ cCATERPILLAR )
& ~ ( cMEAT_EATS @ cBIRD @ cSNAIL )
& ? [A: p] : ( cVEG_EATS @ cCATERPILLAR @ A )
& ? [A: p] : ( cVEG_EATS @ cSNAIL @ A ) )
=> ? [A: a,B: a] :
( ( cMEAT_EATS @ A @ B )
& ( cVEG_EATS @ B @ cGRAIN ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cPUZ031_1_HO) ).
thf(2,negated_conjecture,
~ ( ( ! [A: a] :
( ! [B: p] : ( cVEG_EATS @ A @ B )
| ! [B: a] :
( ( ( cSMALLER @ B @ A )
& ? [C: p] : ( cVEG_EATS @ B @ C ) )
=> ( cMEAT_EATS @ A @ B ) ) )
& ( cSMALLER @ cCATERPILLAR @ cBIRD )
& ( cSMALLER @ cSNAIL @ cBIRD )
& ( cSMALLER @ cBIRD @ cFOX )
& ( cSMALLER @ cFOX @ cWOLF )
& ~ ( cMEAT_EATS @ cWOLF @ cFOX )
& ~ ( cVEG_EATS @ cWOLF @ cGRAIN )
& ( cMEAT_EATS @ cBIRD @ cCATERPILLAR )
& ~ ( cMEAT_EATS @ cBIRD @ cSNAIL )
& ? [A: p] : ( cVEG_EATS @ cCATERPILLAR @ A )
& ? [A: p] : ( cVEG_EATS @ cSNAIL @ A ) )
=> ? [A: a,B: a] :
( ( cMEAT_EATS @ A @ B )
& ( cVEG_EATS @ B @ cGRAIN ) ) ),
inference(neg_conjecture,[status(cth)],[1]) ).
thf(3,plain,
~ ( ( ! [A: a] :
( ! [B: p] : ( cVEG_EATS @ A @ B )
| ! [B: a] :
( ( ( cSMALLER @ B @ A )
& ? [C: p] : ( cVEG_EATS @ B @ C ) )
=> ( cMEAT_EATS @ A @ B ) ) )
& ( cSMALLER @ cCATERPILLAR @ cBIRD )
& ( cSMALLER @ cSNAIL @ cBIRD )
& ( cSMALLER @ cBIRD @ cFOX )
& ( cSMALLER @ cFOX @ cWOLF )
& ~ ( cMEAT_EATS @ cWOLF @ cFOX )
& ~ ( cVEG_EATS @ cWOLF @ cGRAIN )
& ( cMEAT_EATS @ cBIRD @ cCATERPILLAR )
& ~ ( cMEAT_EATS @ cBIRD @ cSNAIL )
& ? [A: p] : ( cVEG_EATS @ cCATERPILLAR @ A )
& ? [A: p] : ( cVEG_EATS @ cSNAIL @ A ) )
=> ? [A: a,B: a] :
( ( cMEAT_EATS @ A @ B )
& ( cVEG_EATS @ B @ cGRAIN ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[2]) ).
thf(18,plain,
$false,
inference(e,[status(thm)],[3]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SYO175^5 : TPTP v9.3.1. Released v4.0.0.
% 0.00/0.08 % 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
% 0.10/0.22 % Computer : n003.cluster.edu
% 0.10/0.22 % Model : x86_64 x86_64
% 0.10/0.22 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.22 % Memory : 8046.5625MB
% 0.10/0.22 % OS : Linux 6.8.0-71-generic
% 0.10/0.22 % CPULimit : 300
% 0.10/0.22 % WCLimit : 300
% 0.10/0.22 % DateTime : Tue Sep 29 16:38:58 UTC 2026
% 0.10/0.22 % CPUTime :
% 0.10/0.22 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
% 1.06/0.80 % [INFO] Parsing problem /export/starexec/sandbox2/benchmark/theBenchmark.p ...
% 1.25/0.99 % [INFO] Parsing done (189ms).
% 1.25/1.01 % [INFO] Running in sequential loop mode.
% 2.12/1.40 % [INFO] eprover registered as external prover.
% 2.12/1.41 % [INFO] Scanning for conjecture ...
% 2.32/1.53 % [INFO] Found a conjecture (or negated_conjecture) and 0 axioms. Running axiom selection ...
% 2.32/1.57 % [INFO] Axiom selection finished. Selected 0 axioms (removed 0 axioms).
% 2.32/1.57 % [INFO] Problem is higher-order (TPTP THF).
% 2.32/1.58 % [INFO] Type checking passed.
% 2.32/1.58 % [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 ...
% 3.51/2.11 % External prover 'e' found a proof!
% 3.51/2.11 % [INFO] Killing All external provers ...
% 3.51/2.11 % Time passed: 1741ms (effective reasoning time: 1094ms)
% 3.51/2.11 % 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)>
% 3.51/2.11 % Axioms used in derivation (0):
% 3.51/2.11 % No. of inferences in proof: 4
% 3.51/2.11 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p : 1741 ms resp. 1094 ms w/o parsing
% 3.81/2.15 % SZS output start Refutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% See solution above
% 3.81/2.15 % [INFO] Killing All external provers ...
%------------------------------------------------------------------------------