TSTP Solution File: LAT259-2 by Leo-III---1.7.7
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%------------------------------------------------------------------------------
% File : Leo-III---1.7.7
% Problem : LAT259-2 : TPTP v8.1.2. Released v3.2.0.
% Transfm : none
% Format : tptp:raw
% Command : run_Leo-III %s %d
% Computer : n021.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 11:27:08 EDT 2023
% Result : Unsatisfiable 2.73s 1.65s
% Output : Refutation 2.73s
% Verified :
% SZS Type : Refutation
% Derivation depth : 2
% Number of leaves : 20
% Syntax : Number of formulae : 28 ( 11 unt; 13 typ; 0 def)
% Number of atoms : 23 ( 6 equ; 0 cnn)
% Maximal formula atoms : 4 ( 1 avg)
% Number of connectives : 130 ( 10 ~; 8 |; 0 &; 112 @)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 16 ( 6 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 16 ( 16 >; 0 *; 0 +; 0 <<)
% Number of symbols : 15 ( 13 usr; 8 con; 0-4 aty)
% Number of variables : 12 ( 0 ^; 12 !; 0 ?; 12 :)
% Comments :
%------------------------------------------------------------------------------
thf(c_in_type,type,
c_in: $i > $i > $i > $o ).
thf(c_Pair_type,type,
c_Pair: $i > $i > $i > $i > $i ).
thf(v_a_type,type,
v_a: $i ).
thf(v_b_type,type,
v_b: $i ).
thf(t_a_type,type,
t_a: $i ).
thf(v_r_type,type,
v_r: $i ).
thf(tc_prod_type,type,
tc_prod: $i > $i > $i ).
thf(c_Relation_Oantisym_type,type,
c_Relation_Oantisym: $i > $i > $o ).
thf(c_Tarski_OPartialOrder_type,type,
c_Tarski_OPartialOrder: $i ).
thf(tc_Tarski_Opotype_Opotype__ext__type_type,type,
tc_Tarski_Opotype_Opotype__ext__type: $i > $i > $i ).
thf(tc_Product__Type_Ounit_type,type,
tc_Product__Type_Ounit: $i ).
thf(c_Tarski_Opotype_Oorder_type,type,
c_Tarski_Opotype_Oorder: $i > $i > $i > $i ).
thf(v_cl_type,type,
v_cl: $i ).
thf(3,negated_conjecture,
v_a != v_b,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_conjecture_2) ).
thf(10,plain,
v_a != v_b,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[3]) ).
thf(2,negated_conjecture,
c_in @ ( c_Pair @ v_b @ v_a @ t_a @ t_a ) @ v_r @ ( tc_prod @ t_a @ t_a ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_conjecture_1) ).
thf(9,plain,
c_in @ ( c_Pair @ v_b @ v_a @ t_a @ t_a ) @ v_r @ ( tc_prod @ t_a @ t_a ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[2]) ).
thf(4,axiom,
! [D: $i,C: $i,B: $i,A: $i] :
( ~ ( c_Relation_Oantisym @ A @ B )
| ~ ( c_in @ ( c_Pair @ C @ D @ B @ B ) @ A @ ( tc_prod @ B @ B ) )
| ~ ( c_in @ ( c_Pair @ D @ C @ B @ B ) @ A @ ( tc_prod @ B @ B ) )
| ( D = C ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Relation_Oantisym__def_0) ).
thf(13,plain,
! [D: $i,C: $i,B: $i,A: $i] :
( ~ ( c_Relation_Oantisym @ A @ B )
| ~ ( c_in @ ( c_Pair @ C @ D @ B @ B ) @ A @ ( tc_prod @ B @ B ) )
| ~ ( c_in @ ( c_Pair @ D @ C @ B @ B ) @ A @ ( tc_prod @ B @ B ) )
| ( D = C ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[4]) ).
thf(6,axiom,
c_in @ v_cl @ c_Tarski_OPartialOrder @ ( tc_Tarski_Opotype_Opotype__ext__type @ t_a @ tc_Product__Type_Ounit ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Tarski_Ocl_A_58_APartialOrder_0) ).
thf(18,plain,
c_in @ v_cl @ c_Tarski_OPartialOrder @ ( tc_Tarski_Opotype_Opotype__ext__type @ t_a @ tc_Product__Type_Ounit ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[6]) ).
thf(5,axiom,
! [B: $i,A: $i] :
( ~ ( c_in @ A @ c_Tarski_OPartialOrder @ ( tc_Tarski_Opotype_Opotype__ext__type @ B @ tc_Product__Type_Ounit ) )
| ( c_Relation_Oantisym @ ( c_Tarski_Opotype_Oorder @ A @ B @ tc_Product__Type_Ounit ) @ B ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Tarski_OPartialOrder__iff_1) ).
thf(16,plain,
! [B: $i,A: $i] :
( ~ ( c_in @ A @ c_Tarski_OPartialOrder @ ( tc_Tarski_Opotype_Opotype__ext__type @ B @ tc_Product__Type_Ounit ) )
| ( c_Relation_Oantisym @ ( c_Tarski_Opotype_Oorder @ A @ B @ tc_Product__Type_Ounit ) @ B ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[5]) ).
thf(1,negated_conjecture,
c_in @ ( c_Pair @ v_a @ v_b @ t_a @ t_a ) @ v_r @ ( tc_prod @ t_a @ t_a ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_conjecture_0) ).
thf(8,plain,
c_in @ ( c_Pair @ v_a @ v_b @ t_a @ t_a ) @ v_r @ ( tc_prod @ t_a @ t_a ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[1]) ).
thf(7,axiom,
( v_r
= ( c_Tarski_Opotype_Oorder @ v_cl @ t_a @ tc_Product__Type_Ounit ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Tarski_Or_A_61_61_Aorder_Acl_0) ).
thf(19,plain,
( v_r
= ( c_Tarski_Opotype_Oorder @ v_cl @ t_a @ tc_Product__Type_Ounit ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[7]) ).
thf(21,plain,
$false,
inference(e,[status(thm)],[10,9,13,18,16,8,19]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.05/0.14 % Problem : LAT259-2 : TPTP v8.1.2. Released v3.2.0.
% 0.14/0.17 % Command : run_Leo-III %s %d
% 0.18/0.39 % Computer : n021.cluster.edu
% 0.18/0.39 % Model : x86_64 x86_64
% 0.18/0.39 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.18/0.39 % Memory : 8042.1875MB
% 0.18/0.39 % OS : Linux 3.10.0-693.el7.x86_64
% 0.18/0.39 % CPULimit : 300
% 0.18/0.39 % WCLimit : 300
% 0.18/0.39 % DateTime : Thu May 18 14:35:13 EDT 2023
% 0.18/0.39 % CPUTime :
% 0.99/0.90 % [INFO] Parsing problem /export/starexec/sandbox2/benchmark/theBenchmark.p ...
% 1.16/1.02 % [INFO] Parsing done (118ms).
% 1.35/1.03 % [INFO] Running in sequential loop mode.
% 1.77/1.25 % [INFO] eprover registered as external prover.
% 1.77/1.25 % [INFO] cvc4 registered as external prover.
% 1.77/1.25 % [INFO] Scanning for conjecture ...
% 1.91/1.31 % [INFO] Found a conjecture and 4 axioms. Running axiom selection ...
% 1.91/1.33 % [INFO] Axiom selection finished. Selected 4 axioms (removed 0 axioms).
% 1.91/1.34 % [INFO] Problem is propositional (TPTP CNF).
% 1.91/1.35 % [INFO] Type checking passed.
% 1.91/1.35 % [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 ...
% 2.73/1.64 % External prover 'e' found a proof!
% 2.73/1.64 % [INFO] Killing All external provers ...
% 2.73/1.64 % Time passed: 1088ms (effective reasoning time: 610ms)
% 2.73/1.64 % 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)>
% 2.73/1.65 % Axioms used in derivation (4): cls_Relation_Oantisym__def_0, cls_Tarski_Ocl_A_58_APartialOrder_0, cls_Tarski_OPartialOrder__iff_1, cls_Tarski_Or_A_61_61_Aorder_Acl_0
% 2.73/1.65 % No. of inferences in proof: 15
% 2.73/1.65 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p : 1088 ms resp. 610 ms w/o parsing
% 2.73/1.67 % SZS output start Refutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% See solution above
% 2.73/1.67 % [INFO] Killing All external provers ...
%------------------------------------------------------------------------------