%------------------------------------------------------------------------------
% File : Leo-III---1.8.0
% Problem : SYO883^1 : TPTP v9.3.1. Released v7.5.0.
% 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 : n020.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 08:46:10 AM UTC 2026
% Result : Unsatisfiable 29.93s 18.57s
% Output : Refutation 30.26s
% Verified :
% SZS Type : Refutation
% Derivation depth : 4
% Number of leaves : 1
% Syntax : Number of formulae : 5 ( 1 unt; 0 typ; 0 def)
% Number of atoms : 9 ( 8 equ; 0 cnn)
% Maximal formula atoms : 2 ( 1 avg)
% Number of connectives : 132 ( 8 ~; 4 |; 0 &; 120 @)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 4 ( 3 avg)
% Number of types : 1 ( 0 usr)
% Number of type conns : 36 ( 36 >; 0 *; 0 +; 0 <<)
% Number of symbols : 6 ( 4 usr; 4 con; 0-6 aty)
% Number of variables : 4 ( 0 ^; 4 !; 0 ?; 4 :)
% Comments :
%------------------------------------------------------------------------------
thf(f_decl,type,
f: $i > $i > $i > $i > $i > $i > $i ).
thf(a_decl,type,
a: $i ).
thf(b_decl,type,
b: $i ).
thf(c_decl,type,
c: $i ).
thf(1,axiom,
! [A: $i > $i > $i > $i > $i > $i > $i > $i > $i > $i] :
( ( ( A @ a @ b @ c @ c @ c @ c @ c @ c @ c )
!= ( f @ b @ a @ c @ c @ c @ c ) )
| ( ( A @ c @ a @ c @ c @ c @ c @ c @ c @ c )
!= ( f @ a @ c @ c @ c @ c @ c ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax) ).
thf(2,plain,
! [A: $i > $i > $i > $i > $i > $i > $i > $i > $i > $i] :
( ( ( A @ a @ b @ c @ c @ c @ c @ c @ c @ c )
!= ( f @ b @ a @ c @ c @ c @ c ) )
| ( ( A @ c @ a @ c @ c @ c @ c @ c @ c @ c )
!= ( f @ a @ c @ c @ c @ c @ c ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[1]) ).
thf(3,plain,
! [A: $i > $i > $i > $i > $i > $i > $i > $i > $i > $i] :
( ( ( A @ a @ b @ c @ c @ c @ c @ c @ c @ c )
!= ( f @ b @ a @ c @ c @ c @ c ) )
| ( ( A @ c @ a @ c @ c @ c @ c @ c @ c @ c )
!= ( f @ a @ c @ c @ c @ c @ c ) ) ),
inference(cnf,[status(esa)],[2]) ).
thf(4,plain,
! [A: $i > $i > $i > $i > $i > $i > $i > $i > $i > $i] :
( ( ( A @ a @ b @ c @ c @ c @ c @ c @ c @ c )
!= ( f @ b @ a @ c @ c @ c @ c ) )
| ( ( A @ c @ a @ c @ c @ c @ c @ c @ c @ c )
!= ( f @ a @ c @ c @ c @ c @ c ) ) ),
inference(lifteq,[status(thm)],[3]) ).
thf(5,plain,
$false,
inference(pre_uni,[status(thm)],[4:[bind(A,$thf( ^ [B: $i] : ^ [C: $i] : ^ [D: $i] : ^ [E: $i] : ^ [F: $i] : ^ [G: $i] : ^ [H: $i] : ^ [I: $i] : ^ [J: $i] : ( f @ C @ B @ c @ c @ c @ c ) ))]]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : SYO883^1 : TPTP v9.3.1. Released v7.5.0.
% 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
% 0.11/0.20 % Computer : n020.cluster.edu
% 0.11/0.20 % Model : x86_64 x86_64
% 0.11/0.20 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.20 % Memory : 8046.5625MB
% 0.11/0.20 % OS : Linux 6.8.0-71-generic
% 0.11/0.21 % CPULimit : 300
% 0.11/0.21 % WCLimit : 300
% 0.11/0.21 % DateTime : Tue Sep 29 17:25:19 UTC 2026
% 0.11/0.21 % CPUTime :
% 0.11/0.21 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
% 0.89/0.77 % [INFO] Parsing problem /export/starexec/sandbox2/benchmark/theBenchmark.p ...
% 1.28/0.96 % [INFO] Parsing done (186ms).
% 1.28/0.98 % [INFO] Running in sequential loop mode.
% 1.91/1.38 % [INFO] eprover registered as external prover.
% 1.91/1.39 % [INFO] Scanning for conjecture ...
% 2.13/1.44 % [INFO] 1 axioms and no conjecture found.
% 2.13/1.48 % [INFO] Problem is higher-order (TPTP THF).
% 2.13/1.49 % [INFO] Type checking passed.
% 2.13/1.49 % [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 ...
% 29.93/18.56 % [INFO] Killing All external provers ...
% 29.93/18.57 % Time passed: 18223ms (effective reasoning time: 17581ms)
% 29.93/18.57 % Axioms used in derivation (1): ax
% 29.93/18.57 % No. of inferences in proof: 5
% 29.93/18.57 % SZS status Unsatisfiable for /export/starexec/sandbox2/benchmark/theBenchmark.p : 18223 ms resp. 17581 ms w/o parsing
% 30.26/18.61 % SZS output start Refutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% See solution above
% 30.26/18.61 % [INFO] Killing All external provers ...
%------------------------------------------------------------------------------