TSTP Solution File: GEO242+1 by Leo-III-SAT---1.7.12
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%------------------------------------------------------------------------------
% File : Leo-III-SAT---1.7.12
% Problem : GEO242+1 : TPTP v8.2.0. Bugfixed v6.4.0.
% Transfm : none
% Format : tptp:raw
% Command : run_Leo-III %s %d
% Computer : n018.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 20:06:29 EDT 2024
% Result : Theorem 4.99s 2.80s
% Output : Refutation 4.99s
% Verified :
% SZS Type : Refutation
% Derivation depth : 5
% Number of leaves : 11
% Syntax : Number of formulae : 19 ( 4 unt; 9 typ; 0 def)
% Number of atoms : 22 ( 0 equ; 0 cnn)
% Maximal formula atoms : 4 ( 2 avg)
% Number of connectives : 79 ( 9 ~; 3 |; 6 &; 58 @)
% ( 0 <=>; 3 =>; 0 <=; 0 <~>)
% Maximal formula depth : 12 ( 7 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 11 ( 11 >; 0 *; 0 +; 0 <<)
% Number of symbols : 10 ( 9 usr; 4 con; 0-2 aty)
% Number of variables : 19 ( 0 ^ 15 !; 4 ?; 19 :)
% Comments :
%------------------------------------------------------------------------------
thf(apart_point_and_line_type,type,
apart_point_and_line: $i > $i > $o ).
thf(distinct_points_type,type,
distinct_points: $i > $i > $o ).
thf(left_convergent_lines_type,type,
left_convergent_lines: $i > $i > $o ).
thf(reverse_line_type,type,
reverse_line: $i > $i ).
thf(line_connecting_type,type,
line_connecting: $i > $i > $i ).
thf(left_apart_point_type,type,
left_apart_point: $i > $i > $o ).
thf(sk1_type,type,
sk1: $i ).
thf(sk2_type,type,
sk2: $i ).
thf(sk3_type,type,
sk3: $i ).
thf(1,conjecture,
! [A: $i,B: $i,C: $i] :
( ( ~ ( apart_point_and_line @ A @ C )
& ( distinct_points @ A @ B )
& ( left_convergent_lines @ C @ ( reverse_line @ ( line_connecting @ A @ B ) ) ) )
=> ( left_apart_point @ B @ ( reverse_line @ C ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',con) ).
thf(2,negated_conjecture,
~ ! [A: $i,B: $i,C: $i] :
( ( ~ ( apart_point_and_line @ A @ C )
& ( distinct_points @ A @ B )
& ( left_convergent_lines @ C @ ( reverse_line @ ( line_connecting @ A @ B ) ) ) )
=> ( left_apart_point @ B @ ( reverse_line @ C ) ) ),
inference(neg_conjecture,[status(cth)],[1]) ).
thf(34,plain,
~ ! [A: $i,B: $i,C: $i] :
( ( ~ ( apart_point_and_line @ A @ C )
& ( distinct_points @ A @ B )
& ( left_convergent_lines @ C @ ( reverse_line @ ( line_connecting @ A @ B ) ) ) )
=> ( left_apart_point @ B @ ( reverse_line @ C ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[2]) ).
thf(36,plain,
left_convergent_lines @ sk3 @ ( reverse_line @ ( line_connecting @ sk1 @ sk2 ) ),
inference(cnf,[status(esa)],[34]) ).
thf(14,axiom,
! [A: $i,B: $i] :
~ ( ( left_convergent_lines @ A @ B )
| ( left_convergent_lines @ A @ ( reverse_line @ B ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',oag11) ).
thf(77,plain,
! [A: $i,B: $i] :
~ ( ( left_convergent_lines @ A @ B )
| ( left_convergent_lines @ A @ ( reverse_line @ B ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[14]) ).
thf(78,plain,
~ ( ? [A: $i,B: $i] : ( left_convergent_lines @ A @ B )
| ? [A: $i,B: $i] : ( left_convergent_lines @ A @ ( reverse_line @ B ) ) ),
inference(miniscope,[status(thm)],[77]) ).
thf(80,plain,
! [B: $i,A: $i] :
~ ( left_convergent_lines @ A @ B ),
inference(cnf,[status(esa)],[78]) ).
thf(165,plain,
$false,
inference(rewrite,[status(thm)],[36,80]) ).
thf(166,plain,
$false,
inference(simp,[status(thm)],[165]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.09/0.10 % Problem : GEO242+1 : TPTP v8.2.0. Bugfixed v6.4.0.
% 0.09/0.12 % Command : run_Leo-III %s %d
% 0.11/0.33 % Computer : n018.cluster.edu
% 0.11/0.33 % Model : x86_64 x86_64
% 0.11/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.33 % Memory : 8042.1875MB
% 0.11/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.11/0.33 % CPULimit : 300
% 0.11/0.33 % WCLimit : 300
% 0.11/0.33 % DateTime : Sun May 19 14:20:09 EDT 2024
% 0.11/0.33 % CPUTime :
% 0.99/0.97 % [INFO] Parsing problem /export/starexec/sandbox2/benchmark/theBenchmark.p ...
% 1.43/1.17 % [INFO] Parsing done (200ms).
% 1.43/1.18 % [INFO] Running in sequential loop mode.
% 2.11/1.56 % [INFO] nitpick registered as external prover.
% 2.11/1.57 % [INFO] Scanning for conjecture ...
% 2.36/1.67 % [INFO] Found a conjecture (or negated_conjecture) and 31 axioms. Running axiom selection ...
% 2.56/1.74 % [INFO] Axiom selection finished. Selected 31 axioms (removed 0 axioms).
% 2.62/1.81 % [INFO] Problem is first-order (TPTP FOF).
% 2.83/1.82 % [INFO] Type checking passed.
% 2.83/1.83 % [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 ...
% 4.99/2.80 % [INFO] Killing All external provers ...
% 4.99/2.80 % Time passed: 2313ms (effective reasoning time: 1609ms)
% 4.99/2.80 % 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)>
% 4.99/2.80 % Axioms used in derivation (1): oag11
% 4.99/2.80 % No. of inferences in proof: 10
% 4.99/2.80 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p : 2313 ms resp. 1609 ms w/o parsing
% 4.99/2.83 % SZS output start Refutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% See solution above
% 4.99/2.83 % [INFO] Killing All external provers ...
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