%------------------------------------------------------------------------------
% File : Leo-III---1.8.0
% Problem : SYO178^5 : 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 : n007.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 3.57s 2.11s
% Output : Refutation 3.82s
% 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 : 175 ( 0 equ; 0 cnn)
% Maximal formula atoms : 58 ( 43 avg)
% Number of connectives : 260 ( 89 ~; 120 |; 51 &; 0 @)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 21 ( 16 avg)
% Number of types : 1 ( 0 usr)
% Number of type conns : 0 ( 0 >; 0 *; 0 +; 0 <<)
% Number of symbols : 12 ( 11 usr; 12 con; 0-0 aty)
% Number of variables : 0 ( 0 ^; 0 !; 0 ?; 0 :)
% Comments :
%------------------------------------------------------------------------------
thf(cM_decl,type,
cM: $o ).
thf(cN_decl,type,
cN: $o ).
thf(cG_decl,type,
cG: $o ).
thf(cK_decl,type,
cK: $o ).
thf(cE_decl,type,
cE: $o ).
thf(cR_decl,type,
cR: $o ).
thf(cF_decl,type,
cF: $o ).
thf(cC_decl,type,
cC: $o ).
thf(cB_decl,type,
cB: $o ).
thf(cP_decl,type,
cP: $o ).
thf(cL_decl,type,
cL: $o ).
thf(1,conjecture,
~ ( cL
& cE
& ( ~ cF
| cB )
& ( ~ cL
| ~ cP
| cM )
& ( ~ cG
| cR
| cM )
& ( cG
| cP
| cR )
& ( ~ cK
| ~ cB
| cC )
& ( ~ cL
| ~ cM
| cC )
& ( cG
| cR
| cK )
& ( ~ cR
| ~ cE
| ~ cC )
& ( ~ cR
| cN
| cF
| cP )
& ( ~ cK
| ~ cL
| ~ cE
| ~ cM )
& ( ~ cG
| cK
| cM
| ~ cB )
& ( ~ cN
| cP
| cF
| cC )
& ( ~ cG
| ~ cB
| cR
| ~ cC )
& ( cK
| ~ cN
| ~ cM
| cF )
& ( ~ cR
| cK
| cM
| cG )
& ( ~ cE
| cK
| ~ cG
| cN
| ~ cM ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cPORKCHOP1C) ).
thf(2,negated_conjecture,
~ ~ ( cL
& cE
& ( ~ cF
| cB )
& ( ~ cL
| ~ cP
| cM )
& ( ~ cG
| cR
| cM )
& ( cG
| cP
| cR )
& ( ~ cK
| ~ cB
| cC )
& ( ~ cL
| ~ cM
| cC )
& ( cG
| cR
| cK )
& ( ~ cR
| ~ cE
| ~ cC )
& ( ~ cR
| cN
| cF
| cP )
& ( ~ cK
| ~ cL
| ~ cE
| ~ cM )
& ( ~ cG
| cK
| cM
| ~ cB )
& ( ~ cN
| cP
| cF
| cC )
& ( ~ cG
| ~ cB
| cR
| ~ cC )
& ( cK
| ~ cN
| ~ cM
| cF )
& ( ~ cR
| cK
| cM
| cG )
& ( ~ cE
| cK
| ~ cG
| cN
| ~ cM ) ),
inference(neg_conjecture,[status(cth)],[1]) ).
thf(3,plain,
~ ~ ( cL
& cE
& ( ~ cF
| cB )
& ( ~ cL
| ~ cP
| cM )
& ( ~ cG
| cR
| cM )
& ( cG
| cP
| cR )
& ( ~ cK
| ~ cB
| cC )
& ( ~ cL
| ~ cM
| cC )
& ( cG
| cR
| cK )
& ( ~ cR
| ~ cE
| ~ cC )
& ( ~ cR
| cN
| cF
| cP )
& ( ~ cK
| ~ cL
| ~ cE
| ~ cM )
& ( ~ cG
| cK
| cM
| ~ cB )
& ( ~ cN
| cP
| cF
| cC )
& ( ~ cG
| ~ cB
| cR
| ~ cC )
& ( cK
| ~ cN
| ~ cM
| cF )
& ( ~ cR
| cK
| cM
| cG )
& ( ~ cE
| cK
| ~ cG
| cN
| ~ cM ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[2]) ).
thf(24,plain,
$false,
inference(e,[status(thm)],[3]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SYO178^5 : 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
% 0.09/0.20 % Computer : n007.cluster.edu
% 0.09/0.20 % Model : x86_64 x86_64
% 0.09/0.20 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.20 % Memory : 8046.5625MB
% 0.09/0.20 % OS : Linux 6.8.0-71-generic
% 0.09/0.20 % CPULimit : 300
% 0.09/0.20 % WCLimit : 300
% 0.09/0.20 % DateTime : Tue Sep 29 16:35:10 UTC 2026
% 0.09/0.20 % CPUTime :
% 0.09/0.20 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
% 0.90/0.78 % [INFO] Parsing problem /export/starexec/sandbox/benchmark/theBenchmark.p ...
% 1.25/0.98 % [INFO] Parsing done (192ms).
% 1.25/0.99 % [INFO] Running in sequential loop mode.
% 2.09/1.40 % [INFO] eprover registered as external prover.
% 2.09/1.41 % [INFO] Scanning for conjecture ...
% 2.31/1.52 % [INFO] Found a conjecture (or negated_conjecture) and 0 axioms. Running axiom selection ...
% 2.31/1.57 % [INFO] Axiom selection finished. Selected 0 axioms (removed 0 axioms).
% 2.31/1.57 % [INFO] Problem is higher-order (TPTP THF).
% 2.31/1.57 % [INFO] Type checking passed.
% 2.31/1.58 % [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 ...
% 3.57/2.11 % External prover 'e' found a proof!
% 3.57/2.11 % [INFO] Killing All external provers ...
% 3.57/2.11 % Time passed: 1773ms (effective reasoning time: 1111ms)
% 3.57/2.11 % 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)>
% 3.57/2.11 % Axioms used in derivation (0):
% 3.57/2.11 % No. of inferences in proof: 4
% 3.57/2.11 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p : 1773 ms resp. 1111 ms w/o parsing
% 3.82/2.14 % SZS output start Refutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% See solution above
% 3.82/2.14 % [INFO] Killing All external provers ...
%------------------------------------------------------------------------------