TSTP Solution File: LAT090-1 by Leo-III---1.7.10
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%------------------------------------------------------------------------------
% File : Leo-III---1.7.10
% Problem : LAT090-1 : TPTP v8.1.2. Released v2.6.0.
% 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 : Tue May 7 07:52:27 EDT 2024
% Result : Unsatisfiable 2.94s 1.70s
% Output : Refutation 2.94s
% Verified :
% SZS Type : Refutation
% Derivation depth : 2
% Number of leaves : 9
% Syntax : Number of formulae : 16 ( 13 unt; 3 typ; 0 def)
% Number of atoms : 13 ( 12 equ; 0 cnn)
% Maximal formula atoms : 1 ( 1 avg)
% Number of connectives : 86 ( 2 ~; 0 |; 0 &; 84 @)
% ( 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 : 5 ( 3 usr; 2 con; 0-2 aty)
% Number of variables : 24 ( 0 ^ 24 !; 0 ?; 24 :)
% Comments :
%------------------------------------------------------------------------------
thf(join_type,type,
join: $i > $i > $i ).
thf(a_type,type,
a: $i ).
thf(meet_type,type,
meet: $i > $i > $i ).
thf(2,axiom,
! [B: $i,A: $i] :
( ( join @ ( meet @ A @ B ) @ ( meet @ A @ ( join @ A @ B ) ) )
= A ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',wal_absorbtion_1) ).
thf(10,plain,
! [B: $i,A: $i] :
( ( join @ ( meet @ A @ B ) @ ( meet @ A @ ( join @ A @ B ) ) )
= A ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[2]) ).
thf(4,axiom,
! [B: $i,A: $i] :
( ( join @ ( meet @ A @ B ) @ ( meet @ B @ ( join @ A @ B ) ) )
= B ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',wal_absorbtion_3) ).
thf(14,plain,
! [B: $i,A: $i] :
( ( join @ ( meet @ A @ B ) @ ( meet @ B @ ( join @ A @ B ) ) )
= B ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[4]) ).
thf(3,axiom,
! [B: $i,A: $i] :
( ( join @ ( meet @ A @ A ) @ ( meet @ B @ ( join @ A @ A ) ) )
= A ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',wal_absorbtion_2) ).
thf(12,plain,
! [B: $i,A: $i] :
( ( join @ ( meet @ A @ A ) @ ( meet @ B @ ( join @ A @ A ) ) )
= A ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[3]) ).
thf(1,negated_conjecture,
( ( join @ a @ a )
!= a ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_normal_axioms_3) ).
thf(7,plain,
( ( join @ a @ a )
!= a ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[1]) ).
thf(6,axiom,
! [C: $i,B: $i,A: $i] :
( ( join @ ( join @ ( meet @ A @ B ) @ ( meet @ C @ A ) ) @ A )
= A ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',wal_absorbtion_5) ).
thf(18,plain,
! [C: $i,B: $i,A: $i] :
( ( join @ ( join @ ( meet @ A @ B ) @ ( meet @ C @ A ) ) @ A )
= A ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[6]) ).
thf(5,axiom,
! [C: $i,B: $i,A: $i] :
( ( meet @ ( meet @ ( join @ A @ B ) @ ( join @ C @ A ) ) @ A )
= A ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',wal_absorbtion_4) ).
thf(16,plain,
! [C: $i,B: $i,A: $i] :
( ( meet @ ( meet @ ( join @ A @ B ) @ ( join @ C @ A ) ) @ A )
= A ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[5]) ).
thf(28,plain,
$false,
inference(e,[status(thm)],[10,14,12,7,18,16]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.13 % Problem : LAT090-1 : TPTP v8.1.2. Released v2.6.0.
% 0.07/0.16 % Command : run_Leo-III %s %d
% 0.16/0.38 % Computer : n021.cluster.edu
% 0.16/0.38 % Model : x86_64 x86_64
% 0.16/0.38 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.16/0.38 % Memory : 8042.1875MB
% 0.16/0.38 % OS : Linux 3.10.0-693.el7.x86_64
% 0.16/0.38 % CPULimit : 300
% 0.16/0.38 % WCLimit : 300
% 0.16/0.38 % DateTime : Mon May 6 11:18:24 EDT 2024
% 0.16/0.38 % CPUTime :
% 0.97/0.87 % [INFO] Parsing problem /export/starexec/sandbox2/benchmark/theBenchmark.p ...
% 1.17/0.98 % [INFO] Parsing done (110ms).
% 1.17/0.99 % [INFO] Running in sequential loop mode.
% 1.69/1.22 % [INFO] eprover registered as external prover.
% 1.69/1.22 % [INFO] cvc4 registered as external prover.
% 1.69/1.22 % [INFO] Scanning for conjecture ...
% 1.82/1.27 % [INFO] Found a conjecture and 5 axioms. Running axiom selection ...
% 1.82/1.29 % [INFO] Axiom selection finished. Selected 5 axioms (removed 0 axioms).
% 1.82/1.30 % [INFO] Problem is propositional (TPTP CNF).
% 1.95/1.30 % [INFO] Type checking passed.
% 1.95/1.31 % [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 ...
% 2.94/1.70 % External prover 'e' found a proof!
% 2.94/1.70 % [INFO] Killing All external provers ...
% 2.94/1.70 % Time passed: 1168ms (effective reasoning time: 709ms)
% 2.94/1.70 % 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)>
% 2.94/1.70 % Axioms used in derivation (5): wal_absorbtion_3, wal_absorbtion_2, wal_absorbtion_1, wal_absorbtion_5, wal_absorbtion_4
% 2.94/1.70 % No. of inferences in proof: 13
% 2.94/1.70 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p : 1168 ms resp. 709 ms w/o parsing
% 2.94/1.72 % SZS output start Refutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% See solution above
% 2.94/1.72 % [INFO] Killing All external provers ...
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