%------------------------------------------------------------------------------
% File : Leo-III---1.8.0
% Problem : LAT262-2 : 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 : 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 07:46:51 AM UTC 2026
% Result : Unsatisfiable 3.13s 2.40s
% Output : Refutation 3.13s
% Verified :
% SZS Type : Refutation
% Derivation depth : 2
% Number of leaves : 4
% Syntax : Number of formulae : 9 ( 9 unt; 0 typ; 0 def)
% Number of atoms : 9 ( 4 equ; 0 cnn)
% Maximal formula atoms : 1 ( 1 avg)
% Number of connectives : 56 ( 2 ~; 0 |; 0 &; 54 @)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 9 ( 4 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 0 ( 0 >; 0 *; 0 +; 0 <<)
% Number of symbols : 11 ( 9 usr; 6 con; 0-3 aty)
% Number of variables : 4 ( 0 ^; 4 !; 0 ?; 4 :)
% Comments :
%------------------------------------------------------------------------------
thf(c_lessequals_decl,type,
c_lessequals: $i > $i > $i > $o ).
thf(v_S_decl,type,
v_S: $i ).
thf(c_Tarski_Opotype_Opset_decl,type,
c_Tarski_Opotype_Opset: $i > $i > $i > $i ).
thf(v_cl_decl,type,
v_cl: $i ).
thf(t_a_decl,type,
t_a: $i ).
thf(tc_Product__Type_Ounit_decl,type,
tc_Product__Type_Ounit: $i ).
thf(tc_set_decl,type,
tc_set: $i > $i ).
thf(c_Tarski_Odual_decl,type,
c_Tarski_Odual: $i > $i > $i ).
thf(v_A_decl,type,
v_A: $i ).
thf(1,negated_conjecture,
t_a @ tc_set @ ( tc_Product__Type_Ounit @ ( t_a @ ( v_cl @ c_Tarski_Opotype_Opset ) ) @ ( v_S @ c_lessequals ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_conjecture_0) ).
thf(5,plain,
t_a @ tc_set @ ( tc_Product__Type_Ounit @ ( t_a @ ( v_cl @ c_Tarski_Opotype_Opset ) ) @ ( v_S @ c_lessequals ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[1]) ).
thf(2,negated_conjecture,
~ ( t_a @ tc_set @ ( tc_Product__Type_Ounit @ ( t_a @ ( t_a @ ( v_cl @ c_Tarski_Odual ) @ c_Tarski_Opotype_Opset ) ) @ ( v_S @ c_lessequals ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_conjecture_1) ).
thf(6,plain,
~ ( t_a @ tc_set @ ( tc_Product__Type_Ounit @ ( t_a @ ( t_a @ ( v_cl @ c_Tarski_Odual ) @ c_Tarski_Opotype_Opset ) ) @ ( v_S @ c_lessequals ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[2]) ).
thf(3,axiom,
( v_A
= ( tc_Product__Type_Ounit @ ( t_a @ ( v_cl @ c_Tarski_Opotype_Opset ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Tarski_OA_A_61_61_Apset_Acl_0) ).
thf(8,plain,
( v_A
= ( tc_Product__Type_Ounit @ ( t_a @ ( v_cl @ c_Tarski_Opotype_Opset ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[3]) ).
thf(4,axiom,
! [B: $i,A: $i] :
( ( tc_Product__Type_Ounit @ ( B @ ( B @ ( A @ c_Tarski_Odual ) @ c_Tarski_Opotype_Opset ) ) )
= ( tc_Product__Type_Ounit @ ( B @ ( A @ c_Tarski_Opotype_Opset ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Tarski_Opset_A_Idual_Acl_J_A_61_61_Apset_Acl_0) ).
thf(10,plain,
! [B: $i,A: $i] :
( ( tc_Product__Type_Ounit @ ( B @ ( B @ ( A @ c_Tarski_Odual ) @ c_Tarski_Opotype_Opset ) ) )
= ( tc_Product__Type_Ounit @ ( B @ ( A @ c_Tarski_Opotype_Opset ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[4]) ).
thf(13,plain,
$false,
inference(e,[status(thm)],[5,6,8,10]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : LAT262-2 : TPTP v9.3.1. Released v3.2.0.
% 0.00/0.08 % 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
% 0.15/0.57 % Computer : n005.cluster.edu
% 0.15/0.57 % Model : x86_64 x86_64
% 0.15/0.57 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.57 % Memory : 8046.5625MB
% 0.15/0.57 % OS : Linux 6.8.0-71-generic
% 0.15/0.57 % CPULimit : 300
% 0.15/0.57 % WCLimit : 300
% 0.15/0.57 % DateTime : Fri Sep 25 20:21:18 UTC 2026
% 0.15/0.58 % CPUTime :
% 0.15/0.58 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
% 0.97/1.17 % [INFO] Parsing problem /export/starexec/sandbox2/benchmark/theBenchmark.p ...
% 1.23/1.35 % [INFO] Parsing done (180ms).
% 1.23/1.36 % [INFO] Running in sequential loop mode.
% 1.78/1.76 % [INFO] eprover registered as external prover.
% 1.78/1.77 % [INFO] Scanning for conjecture ...
% 1.96/1.86 % [INFO] Found a conjecture (or negated_conjecture) and 2 axioms. Running axiom selection ...
% 2.10/1.90 % [INFO] Axiom selection finished. Selected 2 axioms (removed 0 axioms).
% 2.10/1.90 % [INFO] Problem is propositional (TPTP CNF).
% 2.10/1.91 % [INFO] Type checking passed.
% 2.10/1.92 % [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 ...
% 3.13/2.40 % External prover 'e' found a proof!
% 3.13/2.40 % [INFO] Killing All external provers ...
% 3.13/2.40 % Time passed: 1679ms (effective reasoning time: 1028ms)
% 3.13/2.40 % Axioms used in derivation (2): cls_Tarski_OA_A_61_61_Apset_Acl_0, cls_Tarski_Opset_A_Idual_Acl_J_A_61_61_Apset_Acl_0
% 3.13/2.40 % No. of inferences in proof: 9
% 3.13/2.40 % SZS status Unsatisfiable for /export/starexec/sandbox2/benchmark/theBenchmark.p : 1679 ms resp. 1028 ms w/o parsing
% 3.13/2.44 % SZS output start Refutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% See solution above
% 3.13/2.44 % [INFO] Killing All external provers ...
%------------------------------------------------------------------------------