%------------------------------------------------------------------------------
% File : Leo-III---1.8.0
% Problem : SWV009-1 : TPTP v9.3.1. Released v1.0.0.
% 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 : n006.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 08:57:55 AM UTC 2026
% Result : Unsatisfiable 3.08s 2.21s
% Output : Refutation 3.08s
% Verified :
% SZS Type : Refutation
% Derivation depth : 2
% Number of leaves : 9
% Syntax : Number of formulae : 19 ( 11 unt; 0 typ; 0 def)
% Number of atoms : 41 ( 0 equ; 0 cnn)
% Maximal formula atoms : 5 ( 2 avg)
% Number of connectives : 140 ( 22 ~; 22 |; 0 &; 96 @)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 10 ( 5 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 0 ( 0 >; 0 *; 0 +; 0 <<)
% Number of symbols : 10 ( 9 usr; 7 con; 0-2 aty)
% Number of variables : 16 ( 0 ^; 16 !; 0 ?; 16 :)
% Comments :
%------------------------------------------------------------------------------
thf(less_or_equal_decl,type,
less_or_equal: $i > $i > $o ).
thf(less_decl,type,
less: $i > $i > $o ).
thf(j_decl,type,
j: $i ).
thf(i_decl,type,
i: $i ).
thf(m_decl,type,
m: $i ).
thf(p_decl,type,
p: $i ).
thf(q_decl,type,
q: $i ).
thf(n_decl,type,
n: $i ).
thf(a_decl,type,
a: $i > $i ).
thf(5,negated_conjecture,
n @ ( q @ less_or_equal ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause_5) ).
thf(10,plain,
n @ ( q @ less_or_equal ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[5]) ).
thf(2,negated_conjecture,
i @ ( j @ less ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause_2) ).
thf(14,plain,
i @ ( j @ less ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[2]) ).
thf(9,negated_conjecture,
~ ( q @ a @ ( p @ a @ less_or_equal ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause_9) ).
thf(13,plain,
~ ( q @ a @ ( p @ a @ less_or_equal ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[9]) ).
thf(8,negated_conjecture,
! [B: $i,A: $i] :
( ( B @ a @ ( A @ a @ less_or_equal ) )
| ~ ( n @ ( B @ less_or_equal ) )
| ~ ( B @ ( A @ less_or_equal ) )
| ~ ( A @ ( i @ less_or_equal ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause_8) ).
thf(17,plain,
! [B: $i,A: $i] :
( ( B @ a @ ( A @ a @ less_or_equal ) )
| ~ ( n @ ( B @ less_or_equal ) )
| ~ ( B @ ( A @ less_or_equal ) )
| ~ ( A @ ( i @ less_or_equal ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[8]) ).
thf(6,negated_conjecture,
! [B: $i,A: $i] :
( ( B @ a @ ( A @ a @ less_or_equal ) )
| ~ ( n @ ( B @ less_or_equal ) )
| ~ ( B @ ( j @ less ) )
| ~ ( i @ ( A @ less ) )
| ~ ( A @ ( m @ less_or_equal ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause_6) ).
thf(12,plain,
! [B: $i,A: $i] :
( ( B @ a @ ( A @ a @ less_or_equal ) )
| ~ ( n @ ( B @ less_or_equal ) )
| ~ ( B @ ( j @ less ) )
| ~ ( i @ ( A @ less ) )
| ~ ( A @ ( m @ less_or_equal ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[6]) ).
thf(4,negated_conjecture,
q @ ( p @ less_or_equal ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause_4) ).
thf(18,plain,
q @ ( p @ less_or_equal ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[4]) ).
thf(3,negated_conjecture,
p @ ( m @ less_or_equal ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause_3) ).
thf(16,plain,
p @ ( m @ less_or_equal ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[3]) ).
thf(1,negated_conjecture,
! [B: $i,A: $i] :
( ( A @ ( B @ less ) )
| ( B @ ( A @ less_or_equal ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause_1) ).
thf(11,plain,
! [B: $i,A: $i] :
( ( A @ ( B @ less ) )
| ( B @ ( A @ less_or_equal ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[1]) ).
thf(7,negated_conjecture,
! [B: $i,A: $i] :
( ( B @ a @ ( A @ a @ less_or_equal ) )
| ~ ( j @ ( B @ less_or_equal ) )
| ~ ( B @ ( A @ less_or_equal ) )
| ~ ( A @ ( m @ less_or_equal ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause_7) ).
thf(15,plain,
! [B: $i,A: $i] :
( ( B @ a @ ( A @ a @ less_or_equal ) )
| ~ ( j @ ( B @ less_or_equal ) )
| ~ ( B @ ( A @ less_or_equal ) )
| ~ ( A @ ( m @ less_or_equal ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[7]) ).
thf(24,plain,
$false,
inference(e,[status(thm)],[10,14,13,17,12,18,16,11,15]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SWV009-1 : TPTP v9.3.1. Released v1.0.0.
% 0.00/0.08 % 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
% 0.14/0.40 % Computer : n006.cluster.edu
% 0.14/0.40 % Model : x86_64 x86_64
% 0.14/0.40 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.40 % Memory : 8046.5625MB
% 0.14/0.40 % OS : Linux 6.8.0-71-generic
% 0.14/0.41 % CPULimit : 300
% 0.14/0.41 % WCLimit : 300
% 0.14/0.41 % DateTime : Sat Sep 26 13:04:27 UTC 2026
% 0.14/0.41 % CPUTime :
% 0.14/0.41 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
% 0.83/0.99 % [INFO] Parsing problem /export/starexec/sandbox/benchmark/theBenchmark.p ...
% 1.17/1.16 % [INFO] Parsing done (170ms).
% 1.17/1.18 % [INFO] Running in sequential loop mode.
% 1.70/1.58 % [INFO] eprover registered as external prover.
% 1.70/1.58 % [INFO] Scanning for conjecture ...
% 1.89/1.69 % [INFO] Found a conjecture (or negated_conjecture) and 0 axioms. Running axiom selection ...
% 2.04/1.74 % [INFO] Axiom selection finished. Selected 0 axioms (removed 0 axioms).
% 2.04/1.74 % [INFO] Problem is propositional (TPTP CNF).
% 2.04/1.74 % [INFO] Type checking passed.
% 2.04/1.75 % [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 ...
% 3.08/2.21 % External prover 'e' found a proof!
% 3.08/2.21 % [INFO] Killing All external provers ...
% 3.08/2.21 % Time passed: 1658ms (effective reasoning time: 1026ms)
% 3.08/2.21 % Axioms used in derivation (0):
% 3.08/2.21 % No. of inferences in proof: 19
% 3.08/2.21 % SZS status Unsatisfiable for /export/starexec/sandbox/benchmark/theBenchmark.p : 1658 ms resp. 1026 ms w/o parsing
% 3.08/2.25 % SZS output start Refutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% See solution above
% 3.08/2.25 % [INFO] Killing All external provers ...
%------------------------------------------------------------------------------