TSTP Solution File: LAT269-2 by Leo-III---1.7.7
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%------------------------------------------------------------------------------
% File : Leo-III---1.7.7
% Problem : LAT269-2 : TPTP v8.1.2. Released v3.2.0.
% Transfm : none
% Format : tptp:raw
% Command : run_Leo-III %s %d
% Computer : n029.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Fri May 19 11:27:13 EDT 2023
% Result : Unsatisfiable 2.92s 1.62s
% Output : Refutation 2.92s
% Verified :
% SZS Type : Refutation
% Derivation depth : 2
% Number of leaves : 23
% Syntax : Number of formulae : 30 ( 9 unt; 17 typ; 0 def)
% Number of atoms : 21 ( 6 equ; 0 cnn)
% Maximal formula atoms : 4 ( 1 avg)
% Number of connectives : 164 ( 10 ~; 8 |; 0 &; 146 @)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 20 ( 8 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 22 ( 22 >; 0 *; 0 +; 0 <<)
% Number of symbols : 19 ( 17 usr; 11 con; 0-5 aty)
% Number of variables : 6 ( 0 ^; 6 !; 0 ?; 6 :)
% Comments :
%------------------------------------------------------------------------------
thf(c_in_type,type,
c_in: $i > $i > $i > $o ).
thf(c_Tarski_Opotype_Opotype__ext_type,type,
c_Tarski_Opotype_Opotype__ext: $i > $i > $i > $i > $i > $i ).
thf(v_intY1_type,type,
v_intY1: $i ).
thf(c_Tarski_Oinduced_type,type,
c_Tarski_Oinduced: $i > $i > $i > $i ).
thf(v_r_type,type,
v_r: $i ).
thf(t_a_type,type,
t_a: $i ).
thf(c_Product__Type_OUnity_type,type,
c_Product__Type_OUnity: $i ).
thf(tc_Product__Type_Ounit_type,type,
tc_Product__Type_Ounit: $i ).
thf(c_Tarski_OCompleteLattice_type,type,
c_Tarski_OCompleteLattice: $i ).
thf(tc_Tarski_Opotype_Opotype__ext__type_type,type,
tc_Tarski_Opotype_Opotype__ext__type: $i > $i > $i ).
thf(c_Tarski_OTop_type,type,
c_Tarski_OTop: $i > $i > $i ).
thf(v_cl_type,type,
v_cl: $i ).
thf(v_A_type,type,
v_A: $i ).
thf(c_Tarski_Ointerval_type,type,
c_Tarski_Ointerval: $i > $i > $i > $i > $i ).
thf(c_emptyset_type,type,
c_emptyset: $i ).
thf(c_Tarski_Olub_type,type,
c_Tarski_Olub: $i > $i > $i > $i ).
thf(v_Y_type,type,
v_Y: $i ).
thf(3,axiom,
! [B: $i,A: $i] :
( ~ ( c_in @ A @ v_A @ t_a )
| ~ ( c_in @ B @ v_A @ t_a )
| ( c_in @ ( c_Tarski_Opotype_Opotype__ext @ ( c_Tarski_Ointerval @ v_r @ B @ A @ t_a ) @ ( c_Tarski_Oinduced @ ( c_Tarski_Ointerval @ v_r @ B @ A @ t_a ) @ v_r @ t_a ) @ c_Product__Type_OUnity @ t_a @ tc_Product__Type_Ounit ) @ c_Tarski_OCompleteLattice @ ( tc_Tarski_Opotype_Opotype__ext__type @ t_a @ tc_Product__Type_Ounit ) )
| ( ( c_Tarski_Ointerval @ v_r @ B @ A @ t_a )
= c_emptyset ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Tarski_O_91_124_Aa2_A_58_AA_59_Ab2_A_58_AA_59_Ainterval_Ar_Aa2_Ab2_A_126_61_A_123_125_A_124_93_A_61_61_62_A_I_124_Apset_A_61_Ainterval_Ar_Aa2_Ab2_M_Aorder_A_61_Ainduced_A_Iinterval_Ar_Aa2_Ab2_J_Ar_A_124_J_A_58_ACompleteLattice_A_61_61_ATrue_0) ).
thf(10,plain,
! [B: $i,A: $i] :
( ~ ( c_in @ A @ v_A @ t_a )
| ~ ( c_in @ B @ v_A @ t_a )
| ( c_in @ ( c_Tarski_Opotype_Opotype__ext @ ( c_Tarski_Ointerval @ v_r @ B @ A @ t_a ) @ ( c_Tarski_Oinduced @ ( c_Tarski_Ointerval @ v_r @ B @ A @ t_a ) @ v_r @ t_a ) @ c_Product__Type_OUnity @ t_a @ tc_Product__Type_Ounit ) @ c_Tarski_OCompleteLattice @ ( tc_Tarski_Opotype_Opotype__ext__type @ t_a @ tc_Product__Type_Ounit ) )
| ( ( c_Tarski_Ointerval @ v_r @ B @ A @ t_a )
= c_emptyset ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[3]) ).
thf(2,axiom,
c_in @ ( c_Tarski_OTop @ v_cl @ t_a ) @ v_A @ t_a,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Tarski_OTop_Acl_A_58_AA_A_61_61_ATrue_0) ).
thf(9,plain,
c_in @ ( c_Tarski_OTop @ v_cl @ t_a ) @ v_A @ t_a,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[2]) ).
thf(4,axiom,
( v_intY1
= ( c_Tarski_Ointerval @ v_r @ ( c_Tarski_Olub @ v_Y @ v_cl @ t_a ) @ ( c_Tarski_OTop @ v_cl @ t_a ) @ t_a ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Tarski_OintY1_A_61_61_Ainterval_Ar_A_Ilub_AY_Acl_J_A_ITop_Acl_J_0) ).
thf(13,plain,
( v_intY1
= ( c_Tarski_Ointerval @ v_r @ ( c_Tarski_Olub @ v_Y @ v_cl @ t_a ) @ ( c_Tarski_OTop @ v_cl @ t_a ) @ t_a ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[4]) ).
thf(1,negated_conjecture,
~ ( c_in @ ( c_Tarski_Opotype_Opotype__ext @ v_intY1 @ ( c_Tarski_Oinduced @ v_intY1 @ v_r @ t_a ) @ c_Product__Type_OUnity @ t_a @ tc_Product__Type_Ounit ) @ c_Tarski_OCompleteLattice @ ( tc_Tarski_Opotype_Opotype__ext__type @ t_a @ tc_Product__Type_Ounit ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_conjecture_0) ).
thf(7,plain,
~ ( c_in @ ( c_Tarski_Opotype_Opotype__ext @ v_intY1 @ ( c_Tarski_Oinduced @ v_intY1 @ v_r @ t_a ) @ c_Product__Type_OUnity @ t_a @ tc_Product__Type_Ounit ) @ c_Tarski_OCompleteLattice @ ( tc_Tarski_Opotype_Opotype__ext__type @ t_a @ tc_Product__Type_Ounit ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[1]) ).
thf(6,axiom,
! [A: $i] :
( ~ ( c_in @ A @ v_A @ t_a )
| ( ( c_Tarski_Ointerval @ v_r @ A @ ( c_Tarski_OTop @ v_cl @ t_a ) @ t_a )
!= c_emptyset ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Tarski_Ox1_A_58_AA_A_61_61_62_Ainterval_Ar_Ax1_A_ITop_Acl_J_A_61_A_123_125_A_61_61_AFalse_0) ).
thf(16,plain,
! [A: $i] :
( ~ ( c_in @ A @ v_A @ t_a )
| ( ( c_Tarski_Ointerval @ v_r @ A @ ( c_Tarski_OTop @ v_cl @ t_a ) @ t_a )
!= c_emptyset ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[6]) ).
thf(5,axiom,
c_in @ ( c_Tarski_Olub @ v_Y @ v_cl @ t_a ) @ v_A @ t_a,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Tarski_Olub_AY_Acl_A_58_AA_A_61_61_ATrue_0) ).
thf(15,plain,
c_in @ ( c_Tarski_Olub @ v_Y @ v_cl @ t_a ) @ v_A @ t_a,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[5]) ).
thf(23,plain,
$false,
inference(e,[status(thm)],[10,9,13,7,16,15]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12 % Problem : LAT269-2 : TPTP v8.1.2. Released v3.2.0.
% 0.11/0.15 % Command : run_Leo-III %s %d
% 0.14/0.35 % Computer : n029.cluster.edu
% 0.14/0.35 % Model : x86_64 x86_64
% 0.14/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.35 % Memory : 8042.1875MB
% 0.14/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.35 % CPULimit : 300
% 0.14/0.35 % WCLimit : 300
% 0.14/0.35 % DateTime : Thu May 18 14:53:44 EDT 2023
% 0.14/0.35 % CPUTime :
% 0.98/0.87 % [INFO] Parsing problem /export/starexec/sandbox/benchmark/theBenchmark.p ...
% 1.09/1.00 % [INFO] Parsing done (127ms).
% 1.34/1.01 % [INFO] Running in sequential loop mode.
% 1.67/1.20 % [INFO] eprover registered as external prover.
% 1.67/1.21 % [INFO] cvc4 registered as external prover.
% 1.74/1.21 % [INFO] Scanning for conjecture ...
% 1.79/1.26 % [INFO] Found a conjecture and 5 axioms. Running axiom selection ...
% 1.79/1.28 % [INFO] Axiom selection finished. Selected 5 axioms (removed 0 axioms).
% 1.79/1.29 % [INFO] Problem is propositional (TPTP CNF).
% 1.79/1.30 % [INFO] Type checking passed.
% 1.79/1.30 % [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 ...
% 2.92/1.62 % External prover 'e' found a proof!
% 2.92/1.62 % [INFO] Killing All external provers ...
% 2.92/1.62 % Time passed: 1105ms (effective reasoning time: 612ms)
% 2.92/1.62 % Solved by 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)>
% 2.92/1.62 % Axioms used in derivation (5): cls_Tarski_Ox1_A_58_AA_A_61_61_62_Ainterval_Ar_Ax1_A_ITop_Acl_J_A_61_A_123_125_A_61_61_AFalse_0, cls_Tarski_Olub_AY_Acl_A_58_AA_A_61_61_ATrue_0, cls_Tarski_OTop_Acl_A_58_AA_A_61_61_ATrue_0, cls_Tarski_OintY1_A_61_61_Ainterval_Ar_A_Ilub_AY_Acl_J_A_ITop_Acl_J_0, cls_Tarski_O_91_124_Aa2_A_58_AA_59_Ab2_A_58_AA_59_Ainterval_Ar_Aa2_Ab2_A_126_61_A_123_125_A_124_93_A_61_61_62_A_I_124_Apset_A_61_Ainterval_Ar_Aa2_Ab2_M_Aorder_A_61_Ainduced_A_Iinterval_Ar_Aa2_Ab2_J_Ar_A_124_J_A_58_ACompleteLattice_A_61_61_ATrue_0
% 2.92/1.62 % No. of inferences in proof: 13
% 2.92/1.62 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p : 1105 ms resp. 612 ms w/o parsing
% 2.92/1.70 % SZS output start Refutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% See solution above
% 2.92/1.70 % [INFO] Killing All external provers ...
%------------------------------------------------------------------------------