%------------------------------------------------------------------------------
% File : Leo-III---1.8.0
% Problem : LCL654+1.001 : 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 : n012.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 07:52:21 AM UTC 2026
% Result : Theorem 2.23s 1.45s
% Output : Refutation 2.23s
% Verified :
% SZS Type : Refutation
% Derivation depth : 3
% Number of leaves : 2
% Syntax : Number of formulae : 6 ( 3 unt; 0 typ; 0 def)
% Number of atoms : 89 ( 0 equ; 0 cnn)
% Maximal formula atoms : 29 ( 14 avg)
% Number of connectives : 359 ( 128 ~; 74 |; 9 &; 148 @)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 25 ( 14 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 0 ( 0 >; 0 *; 0 +; 0 <<)
% Number of symbols : 3 ( 2 usr; 1 con; 0-2 aty)
% Number of variables : 65 ( 0 ^; 62 !; 3 ?; 65 :)
% Comments :
%------------------------------------------------------------------------------
thf(r1_decl,type,
r1: $i > $i > $o ).
thf(p1_decl,type,
p1: $i > $o ).
thf(1,conjecture,
~ ? [A: $i] :
~ ( ! [B: $i] :
( ~ ! [C: $i] :
( ( C @ p1 )
| ~ ( C @ ( B @ r1 ) ) )
| ! [C: $i] :
( ! [D: $i] :
( ( D @ p1 )
| ~ ( D @ ( C @ r1 ) ) )
| ~ ( C @ ( B @ r1 ) ) )
| ~ ( B @ ( A @ r1 ) ) )
| ~ ! [B: $i] :
( ~ ! [C: $i] :
( $false
| ~ ( C @ ( B @ r1 ) ) )
| ~ ( B @ ( A @ r1 ) ) )
| ~ ! [B: $i] :
( ~ ( ~ ! [C: $i] :
( ~ ! [D: $i] :
( ( D @ p1 )
| ~ ( D @ ( C @ r1 ) ) )
| ~ ( C @ ( B @ r1 ) ) )
& ~ ! [C: $i] :
( ~ ! [D: $i] :
( ~ ! [E: $i] :
( ( E @ p1 )
| ~ ( E @ ( D @ r1 ) ) )
| ~ ( D @ ( C @ r1 ) ) )
| ~ ( C @ ( B @ r1 ) ) ) )
| ~ ( B @ ( A @ r1 ) ) )
| ~ ! [B: $i] :
( ! [C: $i] :
( ~ ( ~ ! [D: $i] :
( ( D @ p1 )
| ~ ( D @ ( C @ r1 ) ) )
& ~ ! [D: $i] :
( ~ ! [E: $i] :
( ( E @ p1 )
| ~ ( E @ ( D @ r1 ) ) )
| ~ ( D @ ( C @ r1 ) ) ) )
| ~ ( C @ ( B @ r1 ) ) )
| ~ ( B @ ( A @ r1 ) ) )
| ~ ! [B: $i] :
( ~ ( ( B @ p1 )
& ~ ! [C: $i] :
( ~ ! [D: $i] :
( ~ ( D @ p1 )
| ~ ( D @ ( C @ r1 ) ) )
| ~ ( C @ ( B @ r1 ) ) ) )
| ~ ( B @ ( A @ r1 ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',main) ).
thf(2,negated_conjecture,
~ ~ ? [A: $i] :
~ ( ! [B: $i] :
( ~ ! [C: $i] :
( ( C @ p1 )
| ~ ( C @ ( B @ r1 ) ) )
| ! [C: $i] :
( ! [D: $i] :
( ( D @ p1 )
| ~ ( D @ ( C @ r1 ) ) )
| ~ ( C @ ( B @ r1 ) ) )
| ~ ( B @ ( A @ r1 ) ) )
| ~ ! [B: $i] :
( ~ ! [C: $i] :
( $false
| ~ ( C @ ( B @ r1 ) ) )
| ~ ( B @ ( A @ r1 ) ) )
| ~ ! [B: $i] :
( ~ ( ~ ! [C: $i] :
( ~ ! [D: $i] :
( ( D @ p1 )
| ~ ( D @ ( C @ r1 ) ) )
| ~ ( C @ ( B @ r1 ) ) )
& ~ ! [C: $i] :
( ~ ! [D: $i] :
( ~ ! [E: $i] :
( ( E @ p1 )
| ~ ( E @ ( D @ r1 ) ) )
| ~ ( D @ ( C @ r1 ) ) )
| ~ ( C @ ( B @ r1 ) ) ) )
| ~ ( B @ ( A @ r1 ) ) )
| ~ ! [B: $i] :
( ! [C: $i] :
( ~ ( ~ ! [D: $i] :
( ( D @ p1 )
| ~ ( D @ ( C @ r1 ) ) )
& ~ ! [D: $i] :
( ~ ! [E: $i] :
( ( E @ p1 )
| ~ ( E @ ( D @ r1 ) ) )
| ~ ( D @ ( C @ r1 ) ) ) )
| ~ ( C @ ( B @ r1 ) ) )
| ~ ( B @ ( A @ r1 ) ) )
| ~ ! [B: $i] :
( ~ ( ( B @ p1 )
& ~ ! [C: $i] :
( ~ ! [D: $i] :
( ~ ( D @ p1 )
| ~ ( D @ ( C @ r1 ) ) )
| ~ ( C @ ( B @ r1 ) ) ) )
| ~ ( B @ ( A @ r1 ) ) ) ),
inference(neg_conjecture,[status(cth)],[1]) ).
thf(4,plain,
~ ~ ? [A: $i] :
~ ( ! [B: $i] :
( ~ ! [C: $i] :
( ( C @ p1 )
| ~ ( C @ ( B @ r1 ) ) )
| ! [C: $i] :
( ! [D: $i] :
( ( D @ p1 )
| ~ ( D @ ( C @ r1 ) ) )
| ~ ( C @ ( B @ r1 ) ) )
| ~ ( B @ ( A @ r1 ) ) )
| ~ ! [B: $i] :
( ~ ! [C: $i] :
~ ( C @ ( B @ r1 ) )
| ~ ( B @ ( A @ r1 ) ) )
| ~ ! [B: $i] :
( ~ ( ~ ! [C: $i] :
( ~ ! [D: $i] :
( ( D @ p1 )
| ~ ( D @ ( C @ r1 ) ) )
| ~ ( C @ ( B @ r1 ) ) )
& ~ ! [C: $i] :
( ~ ! [D: $i] :
( ~ ! [E: $i] :
( ( E @ p1 )
| ~ ( E @ ( D @ r1 ) ) )
| ~ ( D @ ( C @ r1 ) ) )
| ~ ( C @ ( B @ r1 ) ) ) )
| ~ ( B @ ( A @ r1 ) ) )
| ~ ! [B: $i] :
( ! [C: $i] :
( ~ ( ~ ! [D: $i] :
( ( D @ p1 )
| ~ ( D @ ( C @ r1 ) ) )
& ~ ! [D: $i] :
( ~ ! [E: $i] :
( ( E @ p1 )
| ~ ( E @ ( D @ r1 ) ) )
| ~ ( D @ ( C @ r1 ) ) ) )
| ~ ( C @ ( B @ r1 ) ) )
| ~ ( B @ ( A @ r1 ) ) )
| ~ ! [B: $i] :
( ~ ( ( B @ p1 )
& ~ ! [C: $i] :
( ~ ! [D: $i] :
( ~ ( D @ p1 )
| ~ ( D @ ( C @ r1 ) ) )
| ~ ( C @ ( B @ r1 ) ) ) )
| ~ ( B @ ( A @ r1 ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[2]) ).
thf(3,axiom,
! [A: $i] : ( A @ ( A @ r1 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',reflexivity) ).
thf(30,plain,
! [A: $i] : ( A @ ( A @ r1 ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[3]) ).
thf(32,plain,
$false,
inference(e,[status(thm)],[4,30]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : LCL654+1.001 : TPTP v9.3.1. Released v4.0.0.
% 0.00/0.06 % 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
% 0.07/0.34 % Computer : n012.cluster.edu
% 0.07/0.34 % Model : x86_64 x86_64
% 0.07/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.07/0.34 % Memory : 8046.5625MB
% 0.07/0.34 % OS : Linux 6.8.0-71-generic
% 0.07/0.34 % CPULimit : 300
% 0.07/0.34 % WCLimit : 300
% 0.07/0.34 % DateTime : Fri Sep 25 22:59:50 UTC 2026
% 0.07/0.34 % CPUTime :
% 0.07/0.34 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
% 0.51/0.65 % [INFO] Parsing problem /export/starexec/sandbox/benchmark/theBenchmark.p ...
% 0.67/0.76 % [INFO] Parsing done (99ms).
% 0.67/0.76 % [INFO] Running in sequential loop mode.
% 1.08/0.97 % [INFO] eprover registered as external prover.
% 1.08/0.97 % [INFO] Scanning for conjecture ...
% 1.32/1.04 % [INFO] Found a conjecture (or negated_conjecture) and 1 axioms. Running axiom selection ...
% 1.32/1.07 % [INFO] Axiom selection finished. Selected 1 axioms (removed 0 axioms).
% 1.32/1.07 % [INFO] Problem is first-order (TPTP FOF).
% 1.32/1.08 % [INFO] Type checking passed.
% 1.32/1.08 % [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 ...
% 2.23/1.45 % External prover 'e' found a proof!
% 2.23/1.45 % [INFO] Killing All external provers ...
% 2.23/1.45 % Time passed: 1026ms (effective reasoning time: 685ms)
% 2.23/1.45 % 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)>
% 2.23/1.45 % Axioms used in derivation (1): reflexivity
% 2.23/1.45 % No. of inferences in proof: 6
% 2.23/1.45 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p : 1026 ms resp. 685 ms w/o parsing
% 2.23/1.48 % SZS output start Refutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% See solution above
% 2.23/1.48 % [INFO] Killing All external provers ...
%------------------------------------------------------------------------------