%------------------------------------------------------------------------------
% File : Leo-III---1.8.0
% Problem : ALG017+1 : TPTP v9.3.1. Released v2.7.0.
% 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 : 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 : Sun Sep 27 06:45:54 AM UTC 2026
% Result : Theorem 4.71s 3.10s
% Output : Refutation 5.00s
% 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 : 66 ( 64 equ; 0 cnn)
% Maximal formula atoms : 32 ( 16 avg)
% Number of connectives : 196 ( 6 ~; 12 |; 50 &; 128 @)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 11 ( 6 avg)
% Number of types : 1 ( 0 usr)
% Number of type conns : 0 ( 0 >; 0 *; 0 +; 0 <<)
% Number of symbols : 8 ( 5 usr; 6 con; 0-2 aty)
% Number of variables : 0 ( 0 ^; 0 !; 0 ?; 0 :)
% Comments :
%------------------------------------------------------------------------------
thf(op_decl,type,
op: $i > $i > $i ).
thf(e0_decl,type,
e0: $i ).
thf(e1_decl,type,
e1: $i ).
thf(e2_decl,type,
e2: $i ).
thf(e3_decl,type,
e3: $i ).
thf(1,conjecture,
~ ( ~ ( ( ( ( e3 @ ( e3 @ op ) )
= e3 )
& ( ( e2 @ ( e2 @ op ) )
= e3 )
& ( ( e1 @ ( e1 @ op ) )
= e3 )
& ( ( e0 @ ( e0 @ op ) )
= e3 ) )
| ( ( ( e3 @ ( e3 @ op ) )
= e2 )
& ( ( e2 @ ( e2 @ op ) )
= e2 )
& ( ( e1 @ ( e1 @ op ) )
= e2 )
& ( ( e0 @ ( e0 @ op ) )
= e2 ) )
| ( ( ( e3 @ ( e3 @ op ) )
= e1 )
& ( ( e2 @ ( e2 @ op ) )
= e1 )
& ( ( e1 @ ( e1 @ op ) )
= e1 )
& ( ( e0 @ ( e0 @ op ) )
= e1 ) )
| ( ( ( e3 @ ( e3 @ op ) )
= e0 )
& ( ( e2 @ ( e2 @ op ) )
= e0 )
& ( ( e1 @ ( e1 @ op ) )
= e0 )
& ( ( e0 @ ( e0 @ op ) )
= e0 ) ) )
& ( ( ( ( e3 @ ( e3 @ op ) )
= e3 )
& ( ( e2 @ ( e2 @ op ) )
= e3 )
& ( ( e1 @ ( e1 @ op ) )
= e3 )
& ( ( e0 @ ( e0 @ op ) )
= e3 ) )
| ( ( ( e3 @ ( e3 @ op ) )
= e2 )
& ( ( e2 @ ( e2 @ op ) )
= e2 )
& ( ( e1 @ ( e1 @ op ) )
= e2 )
& ( ( e0 @ ( e0 @ op ) )
= e2 ) )
| ( ( ( e3 @ ( e3 @ op ) )
= e1 )
& ( ( e2 @ ( e2 @ op ) )
= e1 )
& ( ( e1 @ ( e1 @ op ) )
= e1 )
& ( ( e0 @ ( e0 @ op ) )
= e1 ) )
| ( ( ( e3 @ ( e3 @ op ) )
= e0 )
& ( ( e2 @ ( e2 @ op ) )
= e0 )
& ( ( e1 @ ( e1 @ op ) )
= e0 )
& ( ( e0 @ ( e0 @ op ) )
= e0 ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1) ).
thf(2,negated_conjecture,
~ ~ ( ~ ( ( ( ( e3 @ ( e3 @ op ) )
= e3 )
& ( ( e2 @ ( e2 @ op ) )
= e3 )
& ( ( e1 @ ( e1 @ op ) )
= e3 )
& ( ( e0 @ ( e0 @ op ) )
= e3 ) )
| ( ( ( e3 @ ( e3 @ op ) )
= e2 )
& ( ( e2 @ ( e2 @ op ) )
= e2 )
& ( ( e1 @ ( e1 @ op ) )
= e2 )
& ( ( e0 @ ( e0 @ op ) )
= e2 ) )
| ( ( ( e3 @ ( e3 @ op ) )
= e1 )
& ( ( e2 @ ( e2 @ op ) )
= e1 )
& ( ( e1 @ ( e1 @ op ) )
= e1 )
& ( ( e0 @ ( e0 @ op ) )
= e1 ) )
| ( ( ( e3 @ ( e3 @ op ) )
= e0 )
& ( ( e2 @ ( e2 @ op ) )
= e0 )
& ( ( e1 @ ( e1 @ op ) )
= e0 )
& ( ( e0 @ ( e0 @ op ) )
= e0 ) ) )
& ( ( ( ( e3 @ ( e3 @ op ) )
= e3 )
& ( ( e2 @ ( e2 @ op ) )
= e3 )
& ( ( e1 @ ( e1 @ op ) )
= e3 )
& ( ( e0 @ ( e0 @ op ) )
= e3 ) )
| ( ( ( e3 @ ( e3 @ op ) )
= e2 )
& ( ( e2 @ ( e2 @ op ) )
= e2 )
& ( ( e1 @ ( e1 @ op ) )
= e2 )
& ( ( e0 @ ( e0 @ op ) )
= e2 ) )
| ( ( ( e3 @ ( e3 @ op ) )
= e1 )
& ( ( e2 @ ( e2 @ op ) )
= e1 )
& ( ( e1 @ ( e1 @ op ) )
= e1 )
& ( ( e0 @ ( e0 @ op ) )
= e1 ) )
| ( ( ( e3 @ ( e3 @ op ) )
= e0 )
& ( ( e2 @ ( e2 @ op ) )
= e0 )
& ( ( e1 @ ( e1 @ op ) )
= e0 )
& ( ( e0 @ ( e0 @ op ) )
= e0 ) ) ) ),
inference(neg_conjecture,[status(cth)],[1]) ).
thf(14,plain,
~ $true,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[2]) ).
thf(15,plain,
$false,
inference(simp,[status(thm)],[14]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : ALG017+1 : TPTP v9.3.1. Released v2.7.0.
% 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
% 0.13/0.59 % Computer : n002.cluster.edu
% 0.13/0.59 % Model : x86_64 x86_64
% 0.13/0.59 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.59 % Memory : 8046.5625MB
% 0.13/0.59 % OS : Linux 6.8.0-71-generic
% 0.13/0.60 % CPULimit : 300
% 0.13/0.60 % WCLimit : 300
% 0.13/0.60 % DateTime : Sat Sep 26 21:01:51 UTC 2026
% 0.13/0.60 % CPUTime :
% 0.13/0.60 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
% 1.00/1.20 % [INFO] Parsing problem /export/starexec/sandbox2/benchmark/theBenchmark.p ...
% 1.37/1.44 % [INFO] Parsing done (236ms).
% 1.37/1.45 % [INFO] Running in sequential loop mode.
% 2.15/1.85 % [INFO] eprover registered as external prover.
% 2.15/1.86 % [INFO] Scanning for conjecture ...
% 2.32/2.00 % [INFO] Found a conjecture (or negated_conjecture) and 11 axioms. Running axiom selection ...
% 2.57/2.05 % [INFO] Axiom selection finished. Selected 11 axioms (removed 0 axioms).
% 2.90/2.20 % [INFO] Problem is first-order (TPTP FOF).
% 2.90/2.22 % [INFO] Type checking passed.
% 2.90/2.23 % [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 ...
% 4.71/3.09 % [INFO] Killing All external provers ...
% 4.71/3.10 % Time passed: 2349ms (effective reasoning time: 1631ms)
% 4.71/3.10 % 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)>
% 4.71/3.10 % Axioms used in derivation (0):
% 4.71/3.10 % No. of inferences in proof: 4
% 4.71/3.10 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p : 2349 ms resp. 1631 ms w/o parsing
% 5.00/3.13 % SZS output start Refutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% See solution above
% 5.00/3.13 % [INFO] Killing All external provers ...
%------------------------------------------------------------------------------