TSTP Solution File: GEO256+3 by Leo-III-SAT---1.7.12
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%------------------------------------------------------------------------------
% File : Leo-III-SAT---1.7.12
% Problem : GEO256+3 : TPTP v8.2.0. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run_Leo-III %s %d
% Computer : n008.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 : Mon May 20 20:06:34 EDT 2024
% Result : Theorem 4.58s 2.45s
% Output : Refutation 4.58s
% Verified :
% SZS Type : Refutation
% Derivation depth : 6
% Number of leaves : 9
% Syntax : Number of formulae : 18 ( 4 unt; 7 typ; 0 def)
% Number of atoms : 38 ( 0 equ; 0 cnn)
% Maximal formula atoms : 7 ( 3 avg)
% Number of connectives : 121 ( 7 ~; 7 |; 12 &; 87 @)
% ( 0 <=>; 8 =>; 0 <=; 0 <~>)
% Maximal formula depth : 13 ( 8 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 10 ( 10 >; 0 *; 0 +; 0 <<)
% Number of symbols : 8 ( 7 usr; 3 con; 0-3 aty)
% Number of variables : 30 ( 0 ^ 25 !; 5 ?; 30 :)
% Comments :
%------------------------------------------------------------------------------
thf(distinct_points_type,type,
distinct_points: $i > $i > $o ).
thf(incident_point_and_line_type,type,
incident_point_and_line: $i > $i > $o ).
thf(left_apart_point_type,type,
left_apart_point: $i > $i > $o ).
thf(before_on_line_type,type,
before_on_line: $i > $i > $i > $o ).
thf(reverse_line_type,type,
reverse_line: $i > $i ).
thf(sk1_type,type,
sk1: $i ).
thf(sk5_type,type,
sk5: $i ).
thf(1,conjecture,
! [A: $i,B: $i,C: $i,D: $i,E: $i] :
( ( ( distinct_points @ B @ D )
& ( distinct_points @ C @ D )
& ( incident_point_and_line @ D @ A )
& ( left_apart_point @ E @ A ) )
=> ( ( before_on_line @ A @ B @ C )
=> ( ( before_on_line @ A @ B @ D )
| ( before_on_line @ A @ D @ C ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',con) ).
thf(2,negated_conjecture,
~ ! [A: $i,B: $i,C: $i,D: $i,E: $i] :
( ( ( distinct_points @ B @ D )
& ( distinct_points @ C @ D )
& ( incident_point_and_line @ D @ A )
& ( left_apart_point @ E @ A ) )
=> ( ( before_on_line @ A @ B @ C )
=> ( ( before_on_line @ A @ B @ D )
| ( before_on_line @ A @ D @ C ) ) ) ),
inference(neg_conjecture,[status(cth)],[1]) ).
thf(39,plain,
~ ! [A: $i,B: $i,C: $i,D: $i,E: $i] :
( ( ( distinct_points @ B @ D )
& ( distinct_points @ C @ D )
& ( incident_point_and_line @ D @ A )
& ( left_apart_point @ E @ A ) )
=> ( ( before_on_line @ A @ B @ C )
=> ( ( before_on_line @ A @ B @ D )
| ( before_on_line @ A @ D @ C ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[2]) ).
thf(40,plain,
~ ! [A: $i,B: $i,C: $i,D: $i] :
( ( ( distinct_points @ B @ D )
& ( distinct_points @ C @ D )
& ( incident_point_and_line @ D @ A )
& ? [E: $i] : ( left_apart_point @ E @ A ) )
=> ( ( before_on_line @ A @ B @ C )
=> ( ( before_on_line @ A @ B @ D )
| ( before_on_line @ A @ D @ C ) ) ) ),
inference(miniscope,[status(thm)],[39]) ).
thf(41,plain,
left_apart_point @ sk5 @ sk1,
inference(cnf,[status(esa)],[40]) ).
thf(28,axiom,
! [A: $i,B: $i] :
~ ( ( left_apart_point @ A @ B )
| ( left_apart_point @ A @ ( reverse_line @ B ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax10_basics) ).
thf(141,plain,
! [A: $i,B: $i] :
~ ( ( left_apart_point @ A @ B )
| ( left_apart_point @ A @ ( reverse_line @ B ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[28]) ).
thf(142,plain,
~ ( ? [A: $i,B: $i] : ( left_apart_point @ A @ B )
| ? [A: $i,B: $i] : ( left_apart_point @ A @ ( reverse_line @ B ) ) ),
inference(miniscope,[status(thm)],[141]) ).
thf(144,plain,
! [B: $i,A: $i] :
~ ( left_apart_point @ A @ B ),
inference(cnf,[status(esa)],[142]) ).
thf(192,plain,
$false,
inference(rewrite,[status(thm)],[41,144]) ).
thf(193,plain,
$false,
inference(simp,[status(thm)],[192]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.10 % Problem : GEO256+3 : TPTP v8.2.0. Released v4.0.0.
% 0.11/0.13 % Command : run_Leo-III %s %d
% 0.13/0.33 % Computer : n008.cluster.edu
% 0.13/0.33 % Model : x86_64 x86_64
% 0.13/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.33 % Memory : 8042.1875MB
% 0.13/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % WCLimit : 300
% 0.13/0.34 % DateTime : Sun May 19 14:53:09 EDT 2024
% 0.13/0.34 % CPUTime :
% 1.00/0.94 % [INFO] Parsing problem /export/starexec/sandbox/benchmark/theBenchmark.p ...
% 1.35/1.10 % [INFO] Parsing done (159ms).
% 1.35/1.12 % [INFO] Running in sequential loop mode.
% 1.91/1.42 % [INFO] nitpick registered as external prover.
% 1.91/1.43 % [INFO] Scanning for conjecture ...
% 2.17/1.51 % [INFO] Found a conjecture (or negated_conjecture) and 36 axioms. Running axiom selection ...
% 2.25/1.58 % [INFO] Axiom selection finished. Selected 36 axioms (removed 0 axioms).
% 2.54/1.65 % [INFO] Problem is first-order (TPTP FOF).
% 2.54/1.66 % [INFO] Type checking passed.
% 2.54/1.66 % [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 ...
% 4.58/2.44 % [INFO] Killing All external provers ...
% 4.58/2.45 % Time passed: 1999ms (effective reasoning time: 1324ms)
% 4.58/2.45 % 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)>
% 4.58/2.45 % Axioms used in derivation (1): ax10_basics
% 4.58/2.45 % No. of inferences in proof: 11
% 4.58/2.45 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p : 1999 ms resp. 1324 ms w/o parsing
% 4.58/2.48 % SZS output start Refutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% See solution above
% 4.58/2.48 % [INFO] Killing All external provers ...
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