TSTP Solution File: GEO185+2 by Leo-III-SAT---1.7.12
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%------------------------------------------------------------------------------
% File : Leo-III-SAT---1.7.12
% Problem : GEO185+2 : TPTP v8.2.0. Released v3.3.0.
% Transfm : none
% Format : tptp:raw
% Command : run_Leo-III %s %d
% Computer : n024.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 20:06:08 EDT 2024
% Result : Theorem 12.09s 3.46s
% Output : Refutation 12.20s
% Verified :
% SZS Type : Refutation
% Derivation depth : 14
% Number of leaves : 9
% Syntax : Number of formulae : 32 ( 6 unt; 7 typ; 0 def)
% Number of atoms : 72 ( 4 equ; 0 cnn)
% Maximal formula atoms : 5 ( 2 avg)
% Number of connectives : 233 ( 26 ~; 21 |; 9 &; 168 @)
% ( 0 <=>; 9 =>; 0 <=; 0 <~>)
% Maximal formula depth : 13 ( 7 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 8 ( 8 >; 0 *; 0 +; 0 <<)
% Number of symbols : 9 ( 7 usr; 4 con; 0-2 aty)
% Number of variables : 39 ( 0 ^ 39 !; 0 ?; 39 :)
% Comments :
%------------------------------------------------------------------------------
thf(distinct_points_type,type,
distinct_points: $i > $i > $o ).
thf(convergent_lines_type,type,
convergent_lines: $i > $i > $o ).
thf(intersection_point_type,type,
intersection_point: $i > $i > $i ).
thf(apart_point_and_line_type,type,
apart_point_and_line: $i > $i > $o ).
thf(sk1_type,type,
sk1: $i ).
thf(sk3_type,type,
sk3: $i ).
thf(sk4_type,type,
sk4: $i ).
thf(1,conjecture,
! [A: $i,B: $i,C: $i,D: $i] :
( ( ( distinct_points @ A @ B )
& ( convergent_lines @ C @ D )
& ~ ( distinct_points @ A @ ( intersection_point @ C @ D ) ) )
=> ( ~ ( apart_point_and_line @ A @ C )
& ~ ( apart_point_and_line @ A @ D ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',con) ).
thf(2,negated_conjecture,
~ ! [A: $i,B: $i,C: $i,D: $i] :
( ( ( distinct_points @ A @ B )
& ( convergent_lines @ C @ D )
& ~ ( distinct_points @ A @ ( intersection_point @ C @ D ) ) )
=> ( ~ ( apart_point_and_line @ A @ C )
& ~ ( apart_point_and_line @ A @ D ) ) ),
inference(neg_conjecture,[status(cth)],[1]) ).
thf(15,plain,
~ ! [A: $i,B: $i,C: $i,D: $i] :
( ( ( distinct_points @ A @ B )
& ( convergent_lines @ C @ D )
& ~ ( distinct_points @ A @ ( intersection_point @ C @ D ) ) )
=> ( ~ ( apart_point_and_line @ A @ C )
& ~ ( apart_point_and_line @ A @ D ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[2]) ).
thf(16,plain,
( ( apart_point_and_line @ sk1 @ sk3 )
| ( apart_point_and_line @ sk1 @ sk4 ) ),
inference(cnf,[status(esa)],[15]) ).
thf(18,plain,
convergent_lines @ sk3 @ sk4,
inference(cnf,[status(esa)],[15]) ).
thf(10,axiom,
! [A: $i,B: $i,C: $i] :
( ( convergent_lines @ A @ B )
=> ( ( ( apart_point_and_line @ C @ A )
| ( apart_point_and_line @ C @ B ) )
=> ( distinct_points @ C @ ( intersection_point @ A @ B ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',con2) ).
thf(42,plain,
! [A: $i,B: $i,C: $i] :
( ( convergent_lines @ A @ B )
=> ( ( ( apart_point_and_line @ C @ A )
| ( apart_point_and_line @ C @ B ) )
=> ( distinct_points @ C @ ( intersection_point @ A @ B ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[10]) ).
thf(43,plain,
! [A: $i,B: $i] :
( ( convergent_lines @ A @ B )
=> ! [C: $i] :
( ( ( apart_point_and_line @ C @ A )
| ( apart_point_and_line @ C @ B ) )
=> ( distinct_points @ C @ ( intersection_point @ A @ B ) ) ) ),
inference(miniscope,[status(thm)],[42]) ).
thf(44,plain,
! [C: $i,B: $i,A: $i] :
( ~ ( convergent_lines @ A @ B )
| ~ ( apart_point_and_line @ C @ B )
| ( distinct_points @ C @ ( intersection_point @ A @ B ) ) ),
inference(cnf,[status(esa)],[43]) ).
thf(187,plain,
! [C: $i,B: $i,A: $i] :
( ~ ( apart_point_and_line @ C @ B )
| ( distinct_points @ C @ ( intersection_point @ A @ B ) )
| ( ( convergent_lines @ sk3 @ sk4 )
!= ( convergent_lines @ A @ B ) ) ),
inference(paramod_ordered,[status(thm)],[18,44]) ).
thf(188,plain,
! [A: $i] :
( ~ ( apart_point_and_line @ A @ sk4 )
| ( distinct_points @ A @ ( intersection_point @ sk3 @ sk4 ) ) ),
inference(pattern_uni,[status(thm)],[187:[bind(A,$thf( sk3 )),bind(B,$thf( sk4 ))]]) ).
thf(198,plain,
! [A: $i] :
( ~ ( apart_point_and_line @ A @ sk4 )
| ( distinct_points @ A @ ( intersection_point @ sk3 @ sk4 ) ) ),
inference(simp,[status(thm)],[188]) ).
thf(1224,plain,
! [A: $i] :
( ( apart_point_and_line @ sk1 @ sk3 )
| ( distinct_points @ A @ ( intersection_point @ sk3 @ sk4 ) )
| ( ( apart_point_and_line @ sk1 @ sk4 )
!= ( apart_point_and_line @ A @ sk4 ) ) ),
inference(paramod_ordered,[status(thm)],[16,198]) ).
thf(1225,plain,
( ( apart_point_and_line @ sk1 @ sk3 )
| ( distinct_points @ sk1 @ ( intersection_point @ sk3 @ sk4 ) ) ),
inference(pattern_uni,[status(thm)],[1224:[bind(A,$thf( sk1 ))]]) ).
thf(17,plain,
~ ( distinct_points @ sk1 @ ( intersection_point @ sk3 @ sk4 ) ),
inference(cnf,[status(esa)],[15]) ).
thf(1231,plain,
( ( apart_point_and_line @ sk1 @ sk3 )
| $false ),
inference(rewrite,[status(thm)],[1225,17]) ).
thf(1232,plain,
apart_point_and_line @ sk1 @ sk3,
inference(simp,[status(thm)],[1231]) ).
thf(45,plain,
! [C: $i,B: $i,A: $i] :
( ~ ( convergent_lines @ A @ B )
| ~ ( apart_point_and_line @ C @ A )
| ( distinct_points @ C @ ( intersection_point @ A @ B ) ) ),
inference(cnf,[status(esa)],[43]) ).
thf(397,plain,
! [C: $i,B: $i,A: $i] :
( ~ ( apart_point_and_line @ C @ A )
| ( distinct_points @ C @ ( intersection_point @ A @ B ) )
| ( ( convergent_lines @ sk3 @ sk4 )
!= ( convergent_lines @ A @ B ) ) ),
inference(paramod_ordered,[status(thm)],[18,45]) ).
thf(398,plain,
! [A: $i] :
( ~ ( apart_point_and_line @ A @ sk3 )
| ( distinct_points @ A @ ( intersection_point @ sk3 @ sk4 ) ) ),
inference(pattern_uni,[status(thm)],[397:[bind(A,$thf( sk3 )),bind(B,$thf( sk4 ))]]) ).
thf(414,plain,
! [A: $i] :
( ~ ( apart_point_and_line @ A @ sk3 )
| ( distinct_points @ A @ ( intersection_point @ sk3 @ sk4 ) ) ),
inference(simp,[status(thm)],[398]) ).
thf(1702,plain,
! [A: $i] :
( ( distinct_points @ A @ ( intersection_point @ sk3 @ sk4 ) )
| ( ( apart_point_and_line @ sk1 @ sk3 )
!= ( apart_point_and_line @ A @ sk3 ) ) ),
inference(paramod_ordered,[status(thm)],[1232,414]) ).
thf(1703,plain,
distinct_points @ sk1 @ ( intersection_point @ sk3 @ sk4 ),
inference(pattern_uni,[status(thm)],[1702:[bind(A,$thf( sk1 ))]]) ).
thf(1709,plain,
$false,
inference(rewrite,[status(thm)],[1703,17]) ).
thf(1710,plain,
$false,
inference(simp,[status(thm)],[1709]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.05/0.09 % Problem : GEO185+2 : TPTP v8.2.0. Released v3.3.0.
% 0.05/0.12 % Command : run_Leo-III %s %d
% 0.11/0.32 % Computer : n024.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 : Sun May 19 15:38:23 EDT 2024
% 0.11/0.32 % CPUTime :
% 1.00/0.96 % [INFO] Parsing problem /export/starexec/sandbox2/benchmark/theBenchmark.p ...
% 1.28/1.14 % [INFO] Parsing done (180ms).
% 1.45/1.16 % [INFO] Running in sequential loop mode.
% 1.81/1.43 % [INFO] nitpick registered as external prover.
% 1.81/1.44 % [INFO] Scanning for conjecture ...
% 2.06/1.50 % [INFO] Found a conjecture (or negated_conjecture) and 12 axioms. Running axiom selection ...
% 2.06/1.53 % [INFO] Axiom selection finished. Selected 12 axioms (removed 0 axioms).
% 2.28/1.55 % [INFO] Problem is first-order (TPTP FOF).
% 2.28/1.55 % [INFO] Type checking passed.
% 2.28/1.56 % [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 ...
% 12.09/3.43 % [INFO] Killing All external provers ...
% 12.09/3.44 % Time passed: 2966ms (effective reasoning time: 2277ms)
% 12.09/3.45 % 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)>
% 12.09/3.46 % Axioms used in derivation (1): con2
% 12.09/3.46 % No. of inferences in proof: 25
% 12.09/3.46 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p : 2966 ms resp. 2277 ms w/o parsing
% 12.20/3.48 % SZS output start Refutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% See solution above
% 12.20/3.48 % [INFO] Killing All external provers ...
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