TSTP Solution File: LAT008-1 by Leo-III---1.7.7
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%------------------------------------------------------------------------------
% File : Leo-III---1.7.7
% Problem : LAT008-1 : TPTP v8.1.2. Released v2.2.0.
% Transfm : none
% Format : tptp:raw
% Command : run_Leo-III %s %d
% Computer : n017.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 11:26:39 EDT 2023
% Result : Unsatisfiable 2.55s 1.53s
% Output : Refutation 2.65s
% Verified :
% SZS Type : Refutation
% Derivation depth : 2
% Number of leaves : 7
% Syntax : Number of formulae : 11 ( 7 unt; 4 typ; 0 def)
% Number of atoms : 7 ( 6 equ; 0 cnn)
% Maximal formula atoms : 1 ( 1 avg)
% Number of connectives : 38 ( 2 ~; 0 |; 0 &; 36 @)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 4 ( 3 avg)
% Number of types : 1 ( 0 usr)
% Number of type conns : 4 ( 4 >; 0 *; 0 +; 0 <<)
% Number of symbols : 6 ( 4 usr; 3 con; 0-2 aty)
% Number of variables : 10 ( 0 ^; 10 !; 0 ?; 10 :)
% Comments :
%------------------------------------------------------------------------------
thf(join_type,type,
join: $i > $i > $i ).
thf(a_type,type,
a: $i ).
thf(meet_type,type,
meet: $i > $i > $i ).
thf(b_type,type,
b: $i ).
thf(1,negated_conjecture,
( ( join @ a @ ( meet @ a @ b ) )
!= a ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_absorbtion_dual) ).
thf(4,plain,
( ( join @ a @ ( meet @ a @ b ) )
!= a ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[1]) ).
thf(2,axiom,
! [B: $i,A: $i] :
( ( meet @ A @ ( join @ A @ B ) )
= A ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',absorption) ).
thf(7,plain,
! [B: $i,A: $i] :
( ( meet @ A @ ( join @ A @ B ) )
= A ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[2]) ).
thf(3,axiom,
! [C: $i,B: $i,A: $i] :
( ( meet @ A @ ( join @ B @ C ) )
= ( join @ ( meet @ C @ A ) @ ( meet @ B @ A ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',distribution) ).
thf(9,plain,
! [C: $i,B: $i,A: $i] :
( ( meet @ A @ ( join @ B @ C ) )
= ( join @ ( meet @ C @ A ) @ ( meet @ B @ A ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[3]) ).
thf(14,plain,
$false,
inference(e,[status(thm)],[4,7,9]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : LAT008-1 : TPTP v8.1.2. Released v2.2.0.
% 0.14/0.15 % Command : run_Leo-III %s %d
% 0.15/0.36 % Computer : n017.cluster.edu
% 0.15/0.36 % Model : x86_64 x86_64
% 0.15/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.36 % Memory : 8042.1875MB
% 0.15/0.36 % OS : Linux 3.10.0-693.el7.x86_64
% 0.15/0.36 % CPULimit : 300
% 0.15/0.36 % WCLimit : 300
% 0.15/0.36 % DateTime : Thu May 18 13:58:16 EDT 2023
% 0.15/0.37 % CPUTime :
% 0.99/0.87 % [INFO] Parsing problem /export/starexec/sandbox2/benchmark/theBenchmark.p ...
% 1.25/0.97 % [INFO] Parsing done (104ms).
% 1.25/0.98 % [INFO] Running in sequential loop mode.
% 1.59/1.18 % [INFO] eprover registered as external prover.
% 1.59/1.18 % [INFO] cvc4 registered as external prover.
% 1.69/1.18 % [INFO] Scanning for conjecture ...
% 1.69/1.22 % [INFO] Found a conjecture and 2 axioms. Running axiom selection ...
% 1.80/1.24 % [INFO] Axiom selection finished. Selected 2 axioms (removed 0 axioms).
% 1.85/1.25 % [INFO] Problem is propositional (TPTP CNF).
% 1.85/1.25 % [INFO] Type checking passed.
% 1.85/1.25 % [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 ...
% 2.55/1.53 % External prover 'e' found a proof!
% 2.55/1.53 % [INFO] Killing All external provers ...
% 2.55/1.53 % Time passed: 999ms (effective reasoning time: 548ms)
% 2.55/1.53 % 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)>
% 2.55/1.53 % Axioms used in derivation (2): absorption, distribution
% 2.55/1.53 % No. of inferences in proof: 7
% 2.55/1.53 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p : 999 ms resp. 548 ms w/o parsing
% 2.65/1.60 % SZS output start Refutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% See solution above
% 2.65/1.60 % [INFO] Killing All external provers ...
%------------------------------------------------------------------------------