%------------------------------------------------------------------------------
% File : Leo-III---1.8.0
% Problem : LCL128-1 : TPTP v9.3.1. Released v1.0.0.
% 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 : n005.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 07:50:55 AM UTC 2026
% Result : Unsatisfiable 55.52s 23.89s
% Output : Refutation 47.56s
% Verified :
% SZS Type : Refutation
% Derivation depth : 2
% Number of leaves : 3
% Syntax : Number of formulae : 7 ( 5 unt; 0 typ; 0 def)
% Number of atoms : 11 ( 0 equ; 0 cnn)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 80 ( 6 ~; 4 |; 0 &; 70 @)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 14 ( 9 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 0 ( 0 >; 0 *; 0 +; 0 <<)
% Number of symbols : 7 ( 6 usr; 5 con; 0-2 aty)
% Number of variables : 12 ( 0 ^; 12 !; 0 ?; 12 :)
% Comments :
%------------------------------------------------------------------------------
thf(is_a_theorem_decl,type,
is_a_theorem: $i > $o ).
thf(equivalent_decl,type,
equivalent: $i > $i > $i ).
thf(a_decl,type,
a: $i ).
thf(b_decl,type,
b: $i ).
thf(c_decl,type,
c: $i ).
thf(e_decl,type,
e: $i ).
thf(1,negated_conjecture,
~ ( e @ ( c @ equivalent ) @ ( e @ ( b @ equivalent ) @ equivalent ) @ ( c @ ( b @ equivalent ) @ equivalent ) @ ( a @ equivalent ) @ ( a @ equivalent ) @ is_a_theorem ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_lg_2) ).
thf(4,plain,
~ ( e @ ( c @ equivalent ) @ ( e @ ( b @ equivalent ) @ equivalent ) @ ( c @ ( b @ equivalent ) @ equivalent ) @ ( a @ equivalent ) @ ( a @ equivalent ) @ is_a_theorem ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[1]) ).
thf(2,axiom,
! [B: $i,A: $i] :
( ( B @ is_a_theorem )
| ~ ( A @ is_a_theorem )
| ~ ( B @ ( A @ equivalent ) @ is_a_theorem ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',condensed_detachment) ).
thf(6,plain,
! [B: $i,A: $i] :
( ( B @ is_a_theorem )
| ~ ( A @ is_a_theorem )
| ~ ( B @ ( A @ equivalent ) @ is_a_theorem ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[2]) ).
thf(3,axiom,
! [D: $i,C: $i,B: $i,A: $i] : ( D @ ( B @ equivalent ) @ ( C @ ( D @ equivalent ) @ ( C @ ( B @ equivalent ) @ equivalent ) @ equivalent ) @ ( A @ equivalent ) @ ( A @ equivalent ) @ is_a_theorem ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',s_3) ).
thf(8,plain,
! [D: $i,C: $i,B: $i,A: $i] : ( D @ ( B @ equivalent ) @ ( C @ ( D @ equivalent ) @ ( C @ ( B @ equivalent ) @ equivalent ) @ equivalent ) @ ( A @ equivalent ) @ ( A @ equivalent ) @ is_a_theorem ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[3]) ).
thf(448,plain,
$false,
inference(e,[status(thm)],[4,6,8]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.05 % Problem : LCL128-1 : TPTP v9.3.1. Released v1.0.0.
% 0.00/0.11 % 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
% 0.22/5.49 % Computer : n005.cluster.edu
% 0.22/5.49 % Model : x86_64 x86_64
% 0.22/5.49 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.22/5.49 % Memory : 8046.5625MB
% 0.22/5.49 % OS : Linux 6.8.0-71-generic
% 0.22/5.49 % CPULimit : 300
% 0.22/5.49 % WCLimit : 300
% 0.22/5.49 % DateTime : Fri Sep 25 21:53:37 UTC 2026
% 0.22/5.50 % CPUTime :
% 0.27/5.50 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
% 1.27/6.27 % [INFO] Parsing problem /export/starexec/sandbox2/benchmark/theBenchmark.p ...
% 1.44/6.44 % [INFO] Parsing done (164ms).
% 1.44/6.45 % [INFO] Running in sequential loop mode.
% 2.38/7.00 % [INFO] eprover registered as external prover.
% 2.38/7.01 % [INFO] Scanning for conjecture ...
% 2.65/7.14 % [INFO] Found a conjecture (or negated_conjecture) and 2 axioms. Running axiom selection ...
% 2.80/7.18 % [INFO] Axiom selection finished. Selected 2 axioms (removed 0 axioms).
% 2.80/7.20 % [INFO] Problem is propositional (TPTP CNF).
% 2.86/7.20 % [INFO] Type checking passed.
% 2.86/7.21 % [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 ...
% 55.52/23.88 % External prover 'e' found a proof!
% 55.52/23.88 % [INFO] Killing All external provers ...
% 55.52/23.88 % Time passed: 18181ms (effective reasoning time: 17428ms)
% 55.52/23.89 % Axioms used in derivation (2): condensed_detachment, s_3
% 55.52/23.89 % No. of inferences in proof: 7
% 55.52/23.89 % SZS status Unsatisfiable for /export/starexec/sandbox2/benchmark/theBenchmark.p : 18181 ms resp. 17428 ms w/o parsing
% 47.56/23.91 % SZS output start Refutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% See solution above
% 47.56/23.91 % [INFO] Killing All external provers ...
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