%------------------------------------------------------------------------------
% File : Leo-III---1.8.0
% Problem : LCL432-2 : TPTP v9.3.1. Released v3.2.0.
% 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 : n003.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 07:51:48 AM UTC 2026
% Result : Unsatisfiable 3.80s 2.27s
% Output : Refutation 3.80s
% 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 : 9 ( 0 equ; 0 cnn)
% Maximal formula atoms : 2 ( 1 avg)
% Number of connectives : 42 ( 4 ~; 2 |; 0 &; 36 @)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 8 ( 5 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 0 ( 0 >; 0 *; 0 +; 0 <<)
% Number of symbols : 8 ( 7 usr; 4 con; 0-3 aty)
% Number of variables : 4 ( 0 ^; 4 !; 0 ?; 4 :)
% Comments :
%------------------------------------------------------------------------------
thf(c_PropLog_Osat_decl,type,
c_PropLog_Osat: $i > $i > $i > $o ).
thf(c_emptyset_decl,type,
c_emptyset: $i ).
thf(v_x_decl,type,
v_x: $i ).
thf(t_a_decl,type,
t_a: $i ).
thf(c_in_decl,type,
c_in: $i > $i > $i > $o ).
thf(c_PropLog_Othms_decl,type,
c_PropLog_Othms: $i > $i > $i ).
thf(tc_PropLog_Opl_decl,type,
tc_PropLog_Opl: $i > $i ).
thf(1,negated_conjecture,
t_a @ ( v_x @ ( c_emptyset @ c_PropLog_Osat ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_conjecture_0) ).
thf(4,plain,
t_a @ ( v_x @ ( c_emptyset @ c_PropLog_Osat ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[1]) ).
thf(2,negated_conjecture,
~ ( t_a @ tc_PropLog_Opl @ ( t_a @ ( c_emptyset @ c_PropLog_Othms ) @ ( v_x @ c_in ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_conjecture_1) ).
thf(5,plain,
~ ( t_a @ tc_PropLog_Opl @ ( t_a @ ( c_emptyset @ c_PropLog_Othms ) @ ( v_x @ c_in ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[2]) ).
thf(3,axiom,
! [B: $i,A: $i] :
( ( B @ tc_PropLog_Opl @ ( B @ ( c_emptyset @ c_PropLog_Othms ) @ ( A @ c_in ) ) )
| ~ ( B @ ( A @ ( c_emptyset @ c_PropLog_Osat ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_PropLog_Ocompleteness__0_0) ).
thf(7,plain,
! [B: $i,A: $i] :
( ( B @ tc_PropLog_Opl @ ( B @ ( c_emptyset @ c_PropLog_Othms ) @ ( A @ c_in ) ) )
| ~ ( B @ ( A @ ( c_emptyset @ c_PropLog_Osat ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[3]) ).
thf(15,plain,
$false,
inference(e,[status(thm)],[4,5,7]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.04 % Problem : LCL432-2 : TPTP v9.3.1. Released v3.2.0.
% 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
% 0.21/0.46 % Computer : n003.cluster.edu
% 0.21/0.46 % Model : x86_64 x86_64
% 0.21/0.46 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.21/0.46 % Memory : 8046.5625MB
% 0.21/0.46 % OS : Linux 6.8.0-71-generic
% 0.21/0.46 % CPULimit : 300
% 0.21/0.46 % WCLimit : 300
% 0.21/0.46 % DateTime : Fri Sep 25 22:34:08 UTC 2026
% 0.21/0.46 % CPUTime :
% 0.21/0.46 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
% 1.34/1.21 % [INFO] Parsing problem /export/starexec/sandbox2/benchmark/theBenchmark.p ...
% 1.57/1.35 % [INFO] Parsing done (139ms).
% 1.57/1.36 % [INFO] Running in sequential loop mode.
% 2.10/1.68 % [INFO] eprover registered as external prover.
% 2.10/1.68 % [INFO] Scanning for conjecture ...
% 2.34/1.75 % [INFO] Found a conjecture (or negated_conjecture) and 1 axioms. Running axiom selection ...
% 2.34/1.78 % [INFO] Axiom selection finished. Selected 1 axioms (removed 0 axioms).
% 2.34/1.78 % [INFO] Problem is propositional (TPTP CNF).
% 2.34/1.78 % [INFO] Type checking passed.
% 2.34/1.79 % [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 ...
% 3.80/2.26 % External prover 'e' found a proof!
% 3.80/2.26 % [INFO] Killing All external provers ...
% 3.80/2.26 % Time passed: 1595ms (effective reasoning time: 901ms)
% 3.80/2.27 % Axioms used in derivation (1): cls_PropLog_Ocompleteness__0_0
% 3.80/2.27 % No. of inferences in proof: 7
% 3.80/2.27 % SZS status Unsatisfiable for /export/starexec/sandbox2/benchmark/theBenchmark.p : 1595 ms resp. 901 ms w/o parsing
% 3.80/2.29 % SZS output start Refutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% See solution above
% 3.80/2.29 % [INFO] Killing All external provers ...
%------------------------------------------------------------------------------