%------------------------------------------------------------------------------
% File : Leo-III---1.8.0
% Problem : KRS017-1 : TPTP v9.3.1. Released v2.0.0.
% 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 : n013.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 07:44:30 AM UTC 2026
% Result : Unsatisfiable 3.70s 2.56s
% Output : Refutation 3.70s
% Verified :
% SZS Type : Refutation
% Derivation depth : 2
% Number of leaves : 7
% Syntax : Number of formulae : 15 ( 5 unt; 0 typ; 0 def)
% Number of atoms : 35 ( 0 equ; 0 cnn)
% Maximal formula atoms : 4 ( 2 avg)
% Number of connectives : 98 ( 18 ~; 20 |; 0 &; 60 @)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 10 ( 6 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 0 ( 0 >; 0 *; 0 +; 0 <<)
% Number of symbols : 8 ( 7 usr; 2 con; 0-2 aty)
% Number of variables : 20 ( 0 ^; 20 !; 0 ?; 20 :)
% Comments :
%------------------------------------------------------------------------------
thf(e_decl,type,
e: $i > $o ).
thf(exists_decl,type,
exists: $i ).
thf(a_decl,type,
a: $i > $o ).
thf(r_decl,type,
r: $i > $i > $o ).
thf(u0r3_decl,type,
u0r3: $i > $i ).
thf(u0r2_decl,type,
u0r2: $i > $i ).
thf(u0r1_decl,type,
u0r1: $i > $i ).
thf(2,negated_conjecture,
~ ( exists @ a ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause_2) ).
thf(9,plain,
~ ( exists @ a ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[2]) ).
thf(4,axiom,
! [C: $i,B: $i,A: $i] :
( ~ ( C @ ( A @ r ) )
| ~ ( C @ ( B @ r ) )
| ~ ( B @ e )
| ( A @ a ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause_4) ).
thf(13,plain,
! [C: $i,B: $i,A: $i] :
( ~ ( C @ ( A @ r ) )
| ~ ( C @ ( B @ r ) )
| ~ ( B @ e )
| ( A @ a ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[4]) ).
thf(6,axiom,
! [B: $i,A: $i] :
( ~ ( B @ ( A @ r ) )
| ( A @ u0r1 @ ( A @ u0r2 @ r ) )
| ( A @ e ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause_6) ).
thf(17,plain,
! [B: $i,A: $i] :
( ~ ( B @ ( A @ r ) )
| ( A @ u0r1 @ ( A @ u0r2 @ r ) )
| ( A @ e ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[6]) ).
thf(3,axiom,
! [A: $i] :
( ~ ( A @ e )
| ( A @ u0r3 @ ( A @ r ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause_3) ).
thf(11,plain,
! [A: $i] :
( ~ ( A @ e )
| ( A @ u0r3 @ ( A @ r ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[3]) ).
thf(1,negated_conjecture,
exists @ e,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause_1) ).
thf(8,plain,
exists @ e,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[1]) ).
thf(7,axiom,
! [B: $i,A: $i] :
( ~ ( B @ ( A @ r ) )
| ( A @ u0r1 @ ( A @ r ) )
| ( A @ e ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause_7) ).
thf(19,plain,
! [B: $i,A: $i] :
( ~ ( B @ ( A @ r ) )
| ( A @ u0r1 @ ( A @ r ) )
| ( A @ e ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[7]) ).
thf(5,axiom,
! [B: $i,A: $i] :
( ~ ( B @ ( A @ r ) )
| ~ ( A @ u0r2 @ a )
| ( A @ e ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause_5) ).
thf(15,plain,
! [B: $i,A: $i] :
( ~ ( B @ ( A @ r ) )
| ~ ( A @ u0r2 @ a )
| ( A @ e ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[5]) ).
thf(21,plain,
$false,
inference(e,[status(thm)],[9,13,17,11,8,19,15]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : KRS017-1 : TPTP v9.3.1. Released v2.0.0.
% 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
% 0.14/0.38 % Computer : n013.cluster.edu
% 0.14/0.38 % Model : x86_64 x86_64
% 0.14/0.38 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.38 % Memory : 8046.5625MB
% 0.14/0.38 % OS : Linux 6.8.0-71-generic
% 0.14/0.38 % CPULimit : 300
% 0.14/0.38 % WCLimit : 300
% 0.14/0.38 % DateTime : Fri Sep 25 19:32:21 UTC 2026
% 0.14/0.39 % CPUTime :
% 0.14/0.39 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
% 1.31/1.24 % [INFO] Parsing problem /export/starexec/sandbox2/benchmark/theBenchmark.p ...
% 1.84/1.51 % [INFO] Parsing done (262ms).
% 1.84/1.52 % [INFO] Running in sequential loop mode.
% 2.47/1.91 % [INFO] eprover registered as external prover.
% 2.47/1.92 % [INFO] Scanning for conjecture ...
% 2.47/2.00 % [INFO] Found a conjecture (or negated_conjecture) and 5 axioms. Running axiom selection ...
% 2.69/2.03 % [INFO] Axiom selection finished. Selected 5 axioms (removed 0 axioms).
% 2.69/2.05 % [INFO] Problem is propositional (TPTP CNF).
% 2.69/2.05 % [INFO] Type checking passed.
% 2.69/2.06 % [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 ...
% 3.70/2.55 % External prover 'e' found a proof!
% 3.70/2.55 % [INFO] Killing All external provers ...
% 3.70/2.55 % Time passed: 1961ms (effective reasoning time: 1027ms)
% 3.70/2.55 % Axioms used in derivation (5): clause_5, clause_7, clause_4, clause_6, clause_3
% 3.70/2.55 % No. of inferences in proof: 15
% 3.70/2.56 % SZS status Unsatisfiable for /export/starexec/sandbox2/benchmark/theBenchmark.p : 1961 ms resp. 1027 ms w/o parsing
% 3.70/2.59 % SZS output start Refutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% See solution above
% 3.70/2.60 % [INFO] Killing All external provers ...
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