TSTP Solution File: GRP142-1 by Leo-III-SAT---1.7.10
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%------------------------------------------------------------------------------
% File : Leo-III-SAT---1.7.10
% Problem : GRP142-1 : TPTP v8.1.2. Bugfixed v1.2.1.
% Transfm : none
% Format : tptp:raw
% Command : run_Leo-III %s %d
% Computer : n007.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 10:33:04 EDT 2024
% Result : Unsatisfiable 4.75s 2.47s
% Output : Refutation 4.75s
% Verified :
% SZS Type : Refutation
% Derivation depth : 7
% Number of leaves : 7
% Syntax : Number of formulae : 18 ( 13 unt; 4 typ; 0 def)
% Number of atoms : 15 ( 14 equ; 0 cnn)
% Maximal formula atoms : 2 ( 1 avg)
% Number of connectives : 61 ( 8 ~; 1 |; 0 &; 52 @)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 5 ( 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 : 14 ( 0 ^ 14 !; 0 ?; 14 :)
% Comments :
%------------------------------------------------------------------------------
thf(least_upper_bound_type,type,
least_upper_bound: $i > $i > $i ).
thf(greatest_lower_bound_type,type,
greatest_lower_bound: $i > $i > $i ).
thf(a_type,type,
a: $i ).
thf(b_type,type,
b: $i ).
thf(6,axiom,
! [B: $i,A: $i] :
( ( least_upper_bound @ A @ B )
= ( least_upper_bound @ B @ A ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',symmetry_of_lub) ).
thf(28,plain,
! [B: $i,A: $i] :
( ( least_upper_bound @ A @ B )
= ( least_upper_bound @ B @ A ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[6]) ).
thf(29,plain,
! [B: $i,A: $i] :
( ( least_upper_bound @ A @ B )
= ( least_upper_bound @ B @ A ) ),
inference(lifteq,[status(thm)],[28]) ).
thf(1,negated_conjecture,
( ( least_upper_bound @ ( greatest_lower_bound @ a @ b ) @ a )
!= a ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_ax_glb2a) ).
thf(17,plain,
( ( least_upper_bound @ ( greatest_lower_bound @ a @ b ) @ a )
!= a ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[1]) ).
thf(18,plain,
( ( least_upper_bound @ ( greatest_lower_bound @ a @ b ) @ a )
!= a ),
inference(polarity_switch,[status(thm)],[17]) ).
thf(19,plain,
( ( least_upper_bound @ ( greatest_lower_bound @ a @ b ) @ a )
!= a ),
inference(lifteq,[status(thm)],[18]) ).
thf(92,plain,
! [B: $i,A: $i] :
( ( ( least_upper_bound @ B @ A )
!= a )
| ( ( least_upper_bound @ A @ B )
!= ( least_upper_bound @ ( greatest_lower_bound @ a @ b ) @ a ) ) ),
inference(paramod_ordered,[status(thm)],[29,19]) ).
thf(93,plain,
( ( least_upper_bound @ a @ ( greatest_lower_bound @ a @ b ) )
!= a ),
inference(pattern_uni,[status(thm)],[92:[bind(A,$thf( greatest_lower_bound @ a @ b )),bind(B,$thf( a ))]]) ).
thf(9,axiom,
! [B: $i,A: $i] :
( ( least_upper_bound @ A @ ( greatest_lower_bound @ A @ B ) )
= A ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',lub_absorbtion) ).
thf(34,plain,
! [B: $i,A: $i] :
( ( least_upper_bound @ A @ ( greatest_lower_bound @ A @ B ) )
= A ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[9]) ).
thf(35,plain,
! [B: $i,A: $i] :
( ( least_upper_bound @ A @ ( greatest_lower_bound @ A @ B ) )
= A ),
inference(lifteq,[status(thm)],[34]) ).
thf(116,plain,
a != a,
inference(rewrite,[status(thm)],[93,35]) ).
thf(117,plain,
$false,
inference(simp,[status(thm)],[116]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.10 % Problem : GRP142-1 : TPTP v8.1.2. Bugfixed v1.2.1.
% 0.11/0.13 % Command : run_Leo-III %s %d
% 0.11/0.32 % Computer : n007.cluster.edu
% 0.11/0.32 % Model : x86_64 x86_64
% 0.11/0.32 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.32 % Memory : 8042.1875MB
% 0.11/0.32 % OS : Linux 3.10.0-693.el7.x86_64
% 0.11/0.32 % CPULimit : 300
% 0.11/0.32 % WCLimit : 300
% 0.11/0.32 % DateTime : Mon May 6 23:57:54 EDT 2024
% 0.11/0.32 % CPUTime :
% 0.90/0.88 % [INFO] Parsing problem /export/starexec/sandbox2/benchmark/theBenchmark.p ...
% 1.16/1.06 % [INFO] Parsing done (176ms).
% 1.16/1.07 % [INFO] Running in sequential loop mode.
% 1.85/1.41 % [INFO] nitpick registered as external prover.
% 1.85/1.42 % [INFO] Scanning for conjecture ...
% 2.01/1.50 % [INFO] Found a conjecture and 15 axioms. Running axiom selection ...
% 2.10/1.55 % [INFO] Axiom selection finished. Selected 15 axioms (removed 0 axioms).
% 2.10/1.58 % [INFO] Problem is propositional (TPTP CNF).
% 2.10/1.59 % [INFO] Type checking passed.
% 2.10/1.59 % [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 ...
% 4.75/2.47 % [INFO] Killing All external provers ...
% 4.75/2.47 % Time passed: 2038ms (effective reasoning time: 1390ms)
% 4.75/2.47 % 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)>
% 4.75/2.47 % Axioms used in derivation (2): symmetry_of_lub, lub_absorbtion
% 4.75/2.47 % No. of inferences in proof: 14
% 4.75/2.47 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p : 2038 ms resp. 1390 ms w/o parsing
% 4.75/2.50 % SZS output start Refutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% See solution above
% 4.75/2.50 % [INFO] Killing All external provers ...
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