TSTP Solution File: REL003-1 by Leo-III-SAT---1.7.12
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Leo-III-SAT---1.7.12
% Problem : REL003-1 : TPTP v8.2.0. Released v4.0.0.
% 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 : Tue May 21 02:33:13 EDT 2024
% Result : Unsatisfiable 37.94s 6.72s
% Output : Refutation 37.94s
% Verified :
% SZS Type : Refutation
% Derivation depth : 11
% Number of leaves : 8
% Syntax : Number of formulae : 27 ( 11 unt; 4 typ; 0 def)
% Number of atoms : 35 ( 34 equ; 0 cnn)
% Maximal formula atoms : 2 ( 1 avg)
% Number of connectives : 143 ( 14 ~; 12 |; 0 &; 117 @)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 4 ( 2 avg)
% Number of types : 1 ( 0 usr)
% Number of type conns : 3 ( 3 >; 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(sk1_type,type,
sk1: $i ).
thf(sk2_type,type,
sk2: $i ).
thf(converse_type,type,
converse: $i > $i ).
thf(1,negated_conjecture,
( ( ( join @ sk1 @ sk2 )
= sk2 )
| ( ( join @ ( converse @ sk1 ) @ ( converse @ sk2 ) )
= ( converse @ sk2 ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',goals_14) ).
thf(16,plain,
( ( ( join @ sk1 @ sk2 )
= sk2 )
| ( ( join @ ( converse @ sk1 ) @ ( converse @ sk2 ) )
= ( converse @ sk2 ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[1]) ).
thf(18,plain,
( ( ( join @ sk1 @ sk2 )
= sk2 )
| ( ( join @ ( converse @ sk1 ) @ ( converse @ sk2 ) )
= ( converse @ sk2 ) ) ),
inference(cnf,[status(esa)],[16]) ).
thf(19,plain,
( ( ( join @ sk1 @ sk2 )
= sk2 )
| ( ( join @ ( converse @ sk1 ) @ ( converse @ sk2 ) )
= ( converse @ sk2 ) ) ),
inference(lifteq,[status(thm)],[18]) ).
thf(11,axiom,
! [B: $i,A: $i] :
( ( converse @ ( join @ A @ B ) )
= ( join @ ( converse @ A ) @ ( converse @ B ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',converse_additivity_9) ).
thf(38,plain,
! [B: $i,A: $i] :
( ( converse @ ( join @ A @ B ) )
= ( join @ ( converse @ A ) @ ( converse @ B ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[11]) ).
thf(39,plain,
! [B: $i,A: $i] :
( ( join @ ( converse @ A ) @ ( converse @ B ) )
= ( converse @ ( join @ A @ B ) ) ),
inference(lifteq,[status(thm)],[38]) ).
thf(2900,plain,
( ( ( join @ sk1 @ sk2 )
= sk2 )
| ( ( converse @ ( join @ sk1 @ sk2 ) )
= ( converse @ sk2 ) ) ),
inference(rewrite,[status(thm)],[19,39]) ).
thf(2,negated_conjecture,
( ( ( join @ sk1 @ sk2 )
!= sk2 )
| ( ( join @ ( converse @ sk1 ) @ ( converse @ sk2 ) )
!= ( converse @ sk2 ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',goals_17) ).
thf(17,plain,
( ( ( join @ sk1 @ sk2 )
!= sk2 )
| ( ( join @ ( converse @ sk1 ) @ ( converse @ sk2 ) )
!= ( converse @ sk2 ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[2]) ).
thf(20,plain,
( ( ( join @ sk1 @ sk2 )
!= sk2 )
| ( ( join @ ( converse @ sk1 ) @ ( converse @ sk2 ) )
!= ( converse @ sk2 ) ) ),
inference(cnf,[status(esa)],[17]) ).
thf(21,plain,
( ( ( join @ sk1 @ sk2 )
!= sk2 )
| ( ( join @ ( converse @ sk1 ) @ ( converse @ sk2 ) )
!= ( converse @ sk2 ) ) ),
inference(lifteq,[status(thm)],[20]) ).
thf(2898,plain,
( ( ( join @ sk1 @ sk2 )
!= sk2 )
| ( ( converse @ ( join @ sk1 @ sk2 ) )
!= ( converse @ sk2 ) ) ),
inference(rewrite,[status(thm)],[21,39]) ).
thf(5813,plain,
( ( ( join @ sk1 @ sk2 )
!= sk2 )
| ( ( join @ sk1 @ sk2 )
!= sk2 ) ),
inference(simp,[status(thm)],[2898]) ).
thf(6122,plain,
( ( join @ sk1 @ sk2 )
!= sk2 ),
inference(simp,[status(thm)],[5813]) ).
thf(6127,plain,
( ( converse @ ( join @ sk1 @ sk2 ) )
= ( converse @ sk2 ) ),
inference(simplifyReflect,[status(thm)],[2900,6122]) ).
thf(10,axiom,
! [A: $i] :
( ( converse @ ( converse @ A ) )
= A ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',converse_idempotence_8) ).
thf(36,plain,
! [A: $i] :
( ( converse @ ( converse @ A ) )
= A ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[10]) ).
thf(37,plain,
! [A: $i] :
( ( converse @ ( converse @ A ) )
= A ),
inference(lifteq,[status(thm)],[36]) ).
thf(6229,plain,
! [A: $i] :
( ( ( converse @ ( converse @ sk2 ) )
= A )
| ( ( converse @ ( join @ sk1 @ sk2 ) )
!= ( converse @ A ) ) ),
inference(paramod_ordered,[status(thm)],[6127,37]) ).
thf(6230,plain,
( ( join @ sk1 @ sk2 )
= ( converse @ ( converse @ sk2 ) ) ),
inference(pattern_uni,[status(thm)],[6229:[bind(A,$thf( join @ sk1 @ sk2 ))]]) ).
thf(6311,plain,
( ( join @ sk1 @ sk2 )
= sk2 ),
inference(rewrite,[status(thm)],[6230,37]) ).
thf(6312,plain,
$false,
inference(simplifyReflect,[status(thm)],[6311,6122]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.09 % Problem : REL003-1 : TPTP v8.2.0. Released v4.0.0.
% 0.06/0.11 % Command : run_Leo-III %s %d
% 0.11/0.30 % Computer : n029.cluster.edu
% 0.11/0.30 % Model : x86_64 x86_64
% 0.11/0.30 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.30 % Memory : 8042.1875MB
% 0.11/0.30 % OS : Linux 3.10.0-693.el7.x86_64
% 0.11/0.30 % CPULimit : 300
% 0.11/0.30 % WCLimit : 300
% 0.11/0.30 % DateTime : Mon May 20 08:09:54 EDT 2024
% 0.11/0.30 % CPUTime :
% 0.79/0.79 % [INFO] Parsing problem /export/starexec/sandbox2/benchmark/theBenchmark.p ...
% 0.94/0.93 % [INFO] Parsing done (140ms).
% 1.19/0.94 % [INFO] Running in sequential loop mode.
% 1.56/1.18 % [INFO] nitpick registered as external prover.
% 1.56/1.18 % [INFO] Scanning for conjecture ...
% 1.71/1.24 % [INFO] Found a conjecture (or negated_conjecture) and 13 axioms. Running axiom selection ...
% 1.77/1.26 % [INFO] Axiom selection finished. Selected 13 axioms (removed 0 axioms).
% 1.77/1.28 % [INFO] Problem is propositional (TPTP CNF).
% 1.77/1.28 % [INFO] Type checking passed.
% 1.77/1.29 % [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 ...
% 37.94/6.71 % [INFO] Killing All external provers ...
% 37.94/6.71 % Time passed: 6260ms (effective reasoning time: 5766ms)
% 37.94/6.72 % Axioms used in derivation (2): converse_additivity_9, converse_idempotence_8
% 37.94/6.72 % No. of inferences in proof: 23
% 37.94/6.72 % SZS status Unsatisfiable for /export/starexec/sandbox2/benchmark/theBenchmark.p : 6260 ms resp. 5766 ms w/o parsing
% 37.94/6.77 % SZS output start Refutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% See solution above
% 37.94/6.77 % [INFO] Killing All external provers ...
%------------------------------------------------------------------------------