TSTP Solution File: GEO011-4 by Leo-III-SAT---1.7.10
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%------------------------------------------------------------------------------
% File : Leo-III-SAT---1.7.10
% Problem : GEO011-4 : TPTP v8.1.2. Released v1.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run_Leo-III %s %d
% Computer : n015.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 10:30:55 EDT 2024
% Result : Unsatisfiable 9.86s 2.82s
% Output : Refutation 9.86s
% Verified :
% SZS Type : Refutation
% Derivation depth : 6
% Number of leaves : 10
% Syntax : Number of formulae : 23 ( 12 unt; 5 typ; 0 def)
% Number of atoms : 36 ( 1 equ; 0 cnn)
% Maximal formula atoms : 4 ( 2 avg)
% Number of connectives : 122 ( 13 ~; 16 |; 0 &; 93 @)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 10 ( 6 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 6 ( 6 >; 0 *; 0 +; 0 <<)
% Number of symbols : 7 ( 5 usr; 4 con; 0-3 aty)
% Number of variables : 12 ( 0 ^ 12 !; 0 ?; 12 :)
% Comments :
%------------------------------------------------------------------------------
thf(colinear_type,type,
colinear: $i > $i > $i > $o ).
thf(lower_dimension_point_1_type,type,
lower_dimension_point_1: $i ).
thf(lower_dimension_point_2_type,type,
lower_dimension_point_2: $i ).
thf(lower_dimension_point_3_type,type,
lower_dimension_point_3: $i ).
thf(between_type,type,
between: $i > $i > $i > $o ).
thf(1,negated_conjecture,
colinear @ lower_dimension_point_1 @ lower_dimension_point_2 @ lower_dimension_point_3,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_lower_dimension_points_not_colinear) ).
thf(16,plain,
colinear @ lower_dimension_point_1 @ lower_dimension_point_2 @ lower_dimension_point_3,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[1]) ).
thf(14,axiom,
! [C: $i,B: $i,A: $i] :
( ~ ( colinear @ A @ B @ C )
| ( between @ A @ B @ C )
| ( between @ B @ C @ A )
| ( between @ C @ A @ B ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',colinearity4) ).
thf(44,plain,
! [C: $i,B: $i,A: $i] :
( ~ ( colinear @ A @ B @ C )
| ( between @ A @ B @ C )
| ( between @ B @ C @ A )
| ( between @ C @ A @ B ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[14]) ).
thf(45,plain,
! [C: $i,B: $i,A: $i] :
( ~ ( colinear @ A @ B @ C )
| ( between @ A @ B @ C )
| ( between @ B @ C @ A )
| ( between @ C @ A @ B ) ),
inference(cnf,[status(esa)],[44]) ).
thf(505,plain,
! [C: $i,B: $i,A: $i] :
( ( between @ A @ B @ C )
| ( between @ B @ C @ A )
| ( between @ C @ A @ B )
| ( ( colinear @ lower_dimension_point_1 @ lower_dimension_point_2 @ lower_dimension_point_3 )
!= ( colinear @ A @ B @ C ) ) ),
inference(paramod_ordered,[status(thm)],[16,45]) ).
thf(506,plain,
( ( between @ lower_dimension_point_1 @ lower_dimension_point_2 @ lower_dimension_point_3 )
| ( between @ lower_dimension_point_2 @ lower_dimension_point_3 @ lower_dimension_point_1 )
| ( between @ lower_dimension_point_3 @ lower_dimension_point_1 @ lower_dimension_point_2 ) ),
inference(pattern_uni,[status(thm)],[505:[bind(A,$thf( lower_dimension_point_1 )),bind(B,$thf( lower_dimension_point_2 )),bind(C,$thf( lower_dimension_point_3 ))]]) ).
thf(9,axiom,
~ ( between @ lower_dimension_point_2 @ lower_dimension_point_3 @ lower_dimension_point_1 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',lower_dimension2) ).
thf(34,plain,
~ ( between @ lower_dimension_point_2 @ lower_dimension_point_3 @ lower_dimension_point_1 ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[9]) ).
thf(35,plain,
~ ( between @ lower_dimension_point_2 @ lower_dimension_point_3 @ lower_dimension_point_1 ),
inference(polarity_switch,[status(thm)],[34]) ).
thf(10,axiom,
~ ( between @ lower_dimension_point_1 @ lower_dimension_point_2 @ lower_dimension_point_3 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',lower_dimension1) ).
thf(36,plain,
~ ( between @ lower_dimension_point_1 @ lower_dimension_point_2 @ lower_dimension_point_3 ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[10]) ).
thf(37,plain,
~ ( between @ lower_dimension_point_1 @ lower_dimension_point_2 @ lower_dimension_point_3 ),
inference(polarity_switch,[status(thm)],[36]) ).
thf(13,axiom,
~ ( between @ lower_dimension_point_3 @ lower_dimension_point_1 @ lower_dimension_point_2 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',lower_dimension3) ).
thf(42,plain,
~ ( between @ lower_dimension_point_3 @ lower_dimension_point_1 @ lower_dimension_point_2 ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[13]) ).
thf(43,plain,
~ ( between @ lower_dimension_point_3 @ lower_dimension_point_1 @ lower_dimension_point_2 ),
inference(polarity_switch,[status(thm)],[42]) ).
thf(1521,plain,
( $false
| $false
| $false ),
inference(rewrite,[status(thm)],[506,35,37,43]) ).
thf(1522,plain,
$false,
inference(simp,[status(thm)],[1521]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.12/0.12 % Problem : GEO011-4 : TPTP v8.1.2. Released v1.0.0.
% 0.12/0.15 % Command : run_Leo-III %s %d
% 0.15/0.36 % Computer : n015.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 : Tue May 7 01:15:09 EDT 2024
% 0.15/0.36 % CPUTime :
% 0.98/0.92 % [INFO] Parsing problem /export/starexec/sandbox2/benchmark/theBenchmark.p ...
% 1.25/1.05 % [INFO] Parsing done (135ms).
% 1.25/1.06 % [INFO] Running in sequential loop mode.
% 1.75/1.26 % [INFO] nitpick registered as external prover.
% 1.75/1.26 % [INFO] Scanning for conjecture ...
% 1.75/1.31 % [INFO] Found a conjecture and 22 axioms. Running axiom selection ...
% 2.03/1.34 % [INFO] Axiom selection finished. Selected 14 axioms (removed 8 axioms).
% 2.03/1.36 % [INFO] Problem is propositional (TPTP CNF).
% 2.03/1.37 % [INFO] Type checking passed.
% 2.03/1.37 % [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 ...
% 9.19/2.82 % [INFO] Killing All external provers ...
% 9.86/2.82 % Time passed: 2293ms (effective reasoning time: 1749ms)
% 9.86/2.82 % 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)>
% 9.86/2.82 % Axioms used in derivation (4): colinearity4, lower_dimension2, lower_dimension1, lower_dimension3
% 9.86/2.82 % No. of inferences in proof: 18
% 9.86/2.82 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p : 2293 ms resp. 1749 ms w/o parsing
% 9.86/2.84 % SZS output start Refutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% See solution above
% 9.86/2.84 % [INFO] Killing All external provers ...
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