%------------------------------------------------------------------------------
% File : Leo-III---1.8.0
% Problem : LCL646+1.001 : 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 : 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 : Sun Sep 27 07:52:18 AM UTC 2026
% Result : Theorem 3.48s 7.38s
% Output : Refutation 3.76s
% 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 : 161 ( 44 ~; 45 |; 0 &; 72 @)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 17 ( 13 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 0 ( 0 >; 0 *; 0 +; 0 <<)
% Number of symbols : 8 ( 7 usr; 1 con; 0-2 aty)
% Number of variables : 27 ( 0 ^; 24 !; 3 ?; 27 :)
% Comments :
%------------------------------------------------------------------------------
thf(r1_decl,type,
r1: $i > $i > $o ).
thf(p6_decl,type,
p6: $i > $o ).
thf(p2_decl,type,
p2: $i > $o ).
thf(p4_decl,type,
p4: $i > $o ).
thf(p5_decl,type,
p5: $i > $o ).
thf(p3_decl,type,
p3: $i > $o ).
thf(p1_decl,type,
p1: $i > $o ).
thf(1,conjecture,
~ ? [A: $i] :
~ ( ! [B: $i] :
( ( B @ p1 )
| ~ ( B @ ( A @ r1 ) ) )
| ! [B: $i] :
( ( B @ p2 )
| ~ ( B @ ( A @ r1 ) ) )
| ! [B: $i] :
( ( B @ p3 )
| ~ ( B @ ( A @ r1 ) ) )
| ! [B: $i] :
( ( B @ p5 )
| ~ ( B @ ( A @ r1 ) ) )
| ~ ! [B: $i] :
( ( B @ p2 )
| ~ ( B @ ( A @ r1 ) ) )
| ~ ! [B: $i] :
( ( B @ p4 )
| ~ ( B @ ( A @ r1 ) ) )
| ~ ! [B: $i] :
( ( B @ p2 )
| ~ ( B @ ( A @ r1 ) ) )
| ~ ! [B: $i] :
( ( B @ p6 )
| ~ ( B @ ( A @ r1 ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',main) ).
thf(2,negated_conjecture,
~ ~ ? [A: $i] :
~ ( ! [B: $i] :
( ( B @ p1 )
| ~ ( B @ ( A @ r1 ) ) )
| ! [B: $i] :
( ( B @ p2 )
| ~ ( B @ ( A @ r1 ) ) )
| ! [B: $i] :
( ( B @ p3 )
| ~ ( B @ ( A @ r1 ) ) )
| ! [B: $i] :
( ( B @ p5 )
| ~ ( B @ ( A @ r1 ) ) )
| ~ ! [B: $i] :
( ( B @ p2 )
| ~ ( B @ ( A @ r1 ) ) )
| ~ ! [B: $i] :
( ( B @ p4 )
| ~ ( B @ ( A @ r1 ) ) )
| ~ ! [B: $i] :
( ( B @ p2 )
| ~ ( B @ ( A @ r1 ) ) )
| ~ ! [B: $i] :
( ( B @ p6 )
| ~ ( B @ ( A @ r1 ) ) ) ),
inference(neg_conjecture,[status(cth)],[1]) ).
thf(3,plain,
~ ~ ? [A: $i] :
~ ( ! [B: $i] :
( ( B @ p1 )
| ~ ( B @ ( A @ r1 ) ) )
| ! [B: $i] :
( ( B @ p2 )
| ~ ( B @ ( A @ r1 ) ) )
| ! [B: $i] :
( ( B @ p3 )
| ~ ( B @ ( A @ r1 ) ) )
| ! [B: $i] :
( ( B @ p5 )
| ~ ( B @ ( A @ r1 ) ) )
| ~ ! [B: $i] :
( ( B @ p2 )
| ~ ( B @ ( A @ r1 ) ) )
| ~ ! [B: $i] :
( ( B @ p4 )
| ~ ( B @ ( A @ r1 ) ) )
| ~ ! [B: $i] :
( ( B @ p2 )
| ~ ( B @ ( A @ r1 ) ) )
| ~ ! [B: $i] :
( ( B @ p6 )
| ~ ( B @ ( A @ r1 ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[2]) ).
thf(22,plain,
$false,
inference(e,[status(thm)],[3]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.05 % Problem : LCL646+1.001 : TPTP v9.3.1. Released v4.0.0.
% 0.00/0.12 % 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
% 0.19/5.46 % Computer : n020.cluster.edu
% 0.19/5.46 % Model : x86_64 x86_64
% 0.19/5.46 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.19/5.46 % Memory : 8046.5625MB
% 0.19/5.46 % OS : Linux 6.8.0-71-generic
% 0.19/5.46 % CPULimit : 300
% 0.19/5.46 % WCLimit : 300
% 0.19/5.46 % DateTime : Fri Sep 25 22:56:24 UTC 2026
% 0.19/5.46 % CPUTime :
% 0.19/5.46 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
% 1.04/6.05 % [INFO] Parsing problem /export/starexec/sandbox2/benchmark/theBenchmark.p ...
% 1.33/6.24 % [INFO] Parsing done (184ms).
% 1.33/6.26 % [INFO] Running in sequential loop mode.
% 1.94/6.67 % [INFO] eprover registered as external prover.
% 1.94/6.67 % [INFO] Scanning for conjecture ...
% 2.15/6.78 % [INFO] Found a conjecture (or negated_conjecture) and 0 axioms. Running axiom selection ...
% 2.34/6.82 % [INFO] Axiom selection finished. Selected 0 axioms (removed 0 axioms).
% 2.34/6.82 % [INFO] Problem is first-order (TPTP FOF).
% 2.34/6.83 % [INFO] Type checking passed.
% 2.34/6.84 % [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 ...
% 3.48/7.38 % External prover 'e' found a proof!
% 3.48/7.38 % [INFO] Killing All external provers ...
% 3.48/7.38 % Time passed: 1773ms (effective reasoning time: 1118ms)
% 3.48/7.38 % 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)>
% 3.48/7.38 % Axioms used in derivation (0):
% 3.48/7.38 % No. of inferences in proof: 4
% 3.48/7.38 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p : 1773 ms resp. 1118 ms w/o parsing
% 3.76/7.43 % SZS output start Refutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% See solution above
% 3.76/7.43 % [INFO] Killing All external provers ...
%------------------------------------------------------------------------------