TSTP Solution File: GEO185+1 by Leo-III-SAT---1.7.10
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%------------------------------------------------------------------------------
% File : Leo-III-SAT---1.7.10
% Problem : GEO185+1 : TPTP v8.1.2. Released v3.3.0.
% Transfm : none
% Format : tptp:raw
% Command : run_Leo-III %s %d
% Computer : n021.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 10:31:31 EDT 2024
% Result : Theorem 9.59s 2.89s
% Output : Refutation 9.59s
% Verified :
% SZS Type : Refutation
% Derivation depth : 17
% Number of leaves : 11
% Syntax : Number of formulae : 41 ( 8 unt; 7 typ; 0 def)
% Number of atoms : 91 ( 6 equ; 0 cnn)
% Maximal formula atoms : 5 ( 2 avg)
% Number of connectives : 276 ( 31 ~; 26 |; 9 &; 200 @)
% ( 0 <=>; 10 =>; 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 : 52 ( 0 ^ 52 !; 0 ?; 52 :)
% 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/sandbox/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(17,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(18,plain,
( ( apart_point_and_line @ sk1 @ sk3 )
| ( apart_point_and_line @ sk1 @ sk4 ) ),
inference(cnf,[status(esa)],[17]) ).
thf(14,axiom,
! [A: $i,B: $i,C: $i] :
( ( apart_point_and_line @ A @ B )
=> ( ( distinct_points @ A @ C )
| ( apart_point_and_line @ C @ B ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ceq1) ).
thf(50,plain,
! [A: $i,B: $i,C: $i] :
( ( apart_point_and_line @ A @ B )
=> ( ( distinct_points @ A @ C )
| ( apart_point_and_line @ C @ B ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[14]) ).
thf(51,plain,
! [A: $i,B: $i] :
( ( apart_point_and_line @ A @ B )
=> ! [C: $i] :
( ( distinct_points @ A @ C )
| ( apart_point_and_line @ C @ B ) ) ),
inference(miniscope,[status(thm)],[50]) ).
thf(52,plain,
! [C: $i,B: $i,A: $i] :
( ~ ( apart_point_and_line @ A @ B )
| ( distinct_points @ A @ C )
| ( apart_point_and_line @ C @ B ) ),
inference(cnf,[status(esa)],[51]) ).
thf(683,plain,
! [C: $i,B: $i,A: $i] :
( ( apart_point_and_line @ sk1 @ sk3 )
| ( distinct_points @ A @ C )
| ( apart_point_and_line @ C @ B )
| ( ( apart_point_and_line @ sk1 @ sk4 )
!= ( apart_point_and_line @ A @ B ) ) ),
inference(paramod_ordered,[status(thm)],[18,52]) ).
thf(684,plain,
! [A: $i] :
( ( apart_point_and_line @ sk1 @ sk3 )
| ( distinct_points @ sk1 @ A )
| ( apart_point_and_line @ A @ sk4 ) ),
inference(pattern_uni,[status(thm)],[683:[bind(A,$thf( sk1 )),bind(B,$thf( sk4 ))]]) ).
thf(733,plain,
! [A: $i] :
( ( apart_point_and_line @ sk1 @ sk3 )
| ( distinct_points @ sk1 @ A )
| ( apart_point_and_line @ A @ sk4 ) ),
inference(simp,[status(thm)],[684]) ).
thf(20,plain,
convergent_lines @ sk3 @ sk4,
inference(cnf,[status(esa)],[17]) ).
thf(12,axiom,
! [A: $i,B: $i] :
( ( convergent_lines @ A @ B )
=> ~ ( apart_point_and_line @ ( intersection_point @ A @ B ) @ B ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ci4) ).
thf(46,plain,
! [A: $i,B: $i] :
( ( convergent_lines @ A @ B )
=> ~ ( apart_point_and_line @ ( intersection_point @ A @ B ) @ B ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[12]) ).
thf(47,plain,
! [B: $i,A: $i] :
( ~ ( convergent_lines @ A @ B )
| ~ ( apart_point_and_line @ ( intersection_point @ A @ B ) @ B ) ),
inference(cnf,[status(esa)],[46]) ).
thf(371,plain,
! [B: $i,A: $i] :
( ~ ( apart_point_and_line @ ( intersection_point @ A @ B ) @ B )
| ( ( convergent_lines @ sk3 @ sk4 )
!= ( convergent_lines @ A @ B ) ) ),
inference(paramod_ordered,[status(thm)],[20,47]) ).
thf(372,plain,
~ ( apart_point_and_line @ ( intersection_point @ sk3 @ sk4 ) @ sk4 ),
inference(pattern_uni,[status(thm)],[371:[bind(A,$thf( sk3 )),bind(B,$thf( sk4 ))]]) ).
thf(1047,plain,
! [A: $i] :
( ( apart_point_and_line @ sk1 @ sk3 )
| ( distinct_points @ sk1 @ A )
| ( ( apart_point_and_line @ A @ sk4 )
!= ( apart_point_and_line @ ( intersection_point @ sk3 @ sk4 ) @ sk4 ) ) ),
inference(paramod_ordered,[status(thm)],[733,372]) ).
thf(1048,plain,
( ( apart_point_and_line @ sk1 @ sk3 )
| ( distinct_points @ sk1 @ ( intersection_point @ sk3 @ sk4 ) ) ),
inference(pattern_uni,[status(thm)],[1047:[bind(A,$thf( intersection_point @ sk3 @ sk4 ))]]) ).
thf(19,plain,
~ ( distinct_points @ sk1 @ ( intersection_point @ sk3 @ sk4 ) ),
inference(cnf,[status(esa)],[17]) ).
thf(1146,plain,
( ( apart_point_and_line @ sk1 @ sk3 )
| $false ),
inference(rewrite,[status(thm)],[1048,19]) ).
thf(1147,plain,
apart_point_and_line @ sk1 @ sk3,
inference(simp,[status(thm)],[1146]) ).
thf(1152,plain,
! [C: $i,B: $i,A: $i] :
( ( distinct_points @ A @ C )
| ( apart_point_and_line @ C @ B )
| ( ( apart_point_and_line @ sk1 @ sk3 )
!= ( apart_point_and_line @ A @ B ) ) ),
inference(paramod_ordered,[status(thm)],[1147,52]) ).
thf(1153,plain,
! [A: $i] :
( ( distinct_points @ sk1 @ A )
| ( apart_point_and_line @ A @ sk3 ) ),
inference(pattern_uni,[status(thm)],[1152:[bind(A,$thf( sk1 )),bind(B,$thf( sk3 ))]]) ).
thf(1187,plain,
! [A: $i] :
( ( distinct_points @ sk1 @ A )
| ( apart_point_and_line @ A @ sk3 ) ),
inference(simp,[status(thm)],[1153]) ).
thf(11,axiom,
! [A: $i,B: $i] :
( ( convergent_lines @ A @ B )
=> ~ ( apart_point_and_line @ ( intersection_point @ A @ B ) @ A ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ci3) ).
thf(44,plain,
! [A: $i,B: $i] :
( ( convergent_lines @ A @ B )
=> ~ ( apart_point_and_line @ ( intersection_point @ A @ B ) @ A ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[11]) ).
thf(45,plain,
! [B: $i,A: $i] :
( ~ ( convergent_lines @ A @ B )
| ~ ( apart_point_and_line @ ( intersection_point @ A @ B ) @ A ) ),
inference(cnf,[status(esa)],[44]) ).
thf(266,plain,
! [B: $i,A: $i] :
( ~ ( apart_point_and_line @ ( intersection_point @ A @ B ) @ A )
| ( ( convergent_lines @ sk3 @ sk4 )
!= ( convergent_lines @ A @ B ) ) ),
inference(paramod_ordered,[status(thm)],[20,45]) ).
thf(267,plain,
~ ( apart_point_and_line @ ( intersection_point @ sk3 @ sk4 ) @ sk3 ),
inference(pattern_uni,[status(thm)],[266:[bind(A,$thf( sk3 )),bind(B,$thf( sk4 ))]]) ).
thf(1198,plain,
! [A: $i] :
( ( distinct_points @ sk1 @ A )
| ( ( apart_point_and_line @ A @ sk3 )
!= ( apart_point_and_line @ ( intersection_point @ sk3 @ sk4 ) @ sk3 ) ) ),
inference(paramod_ordered,[status(thm)],[1187,267]) ).
thf(1199,plain,
distinct_points @ sk1 @ ( intersection_point @ sk3 @ sk4 ),
inference(pattern_uni,[status(thm)],[1198:[bind(A,$thf( intersection_point @ sk3 @ sk4 ))]]) ).
thf(1252,plain,
$false,
inference(rewrite,[status(thm)],[1199,19]) ).
thf(1253,plain,
$false,
inference(simp,[status(thm)],[1252]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.12/0.13 % Problem : GEO185+1 : TPTP v8.1.2. Released v3.3.0.
% 0.12/0.16 % Command : run_Leo-III %s %d
% 0.17/0.37 % Computer : n021.cluster.edu
% 0.17/0.37 % Model : x86_64 x86_64
% 0.17/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.17/0.37 % Memory : 8042.1875MB
% 0.17/0.37 % OS : Linux 3.10.0-693.el7.x86_64
% 0.17/0.37 % CPULimit : 300
% 0.17/0.37 % WCLimit : 300
% 0.17/0.37 % DateTime : Tue May 7 01:35:54 EDT 2024
% 0.17/0.37 % CPUTime :
% 0.96/0.88 % [INFO] Parsing problem /export/starexec/sandbox/benchmark/theBenchmark.p ...
% 1.16/1.00 % [INFO] Parsing done (120ms).
% 1.35/1.00 % [INFO] Running in sequential loop mode.
% 1.66/1.20 % [INFO] nitpick registered as external prover.
% 1.66/1.20 % [INFO] Scanning for conjecture ...
% 1.85/1.26 % [INFO] Found a conjecture and 14 axioms. Running axiom selection ...
% 1.85/1.28 % [INFO] Axiom selection finished. Selected 14 axioms (removed 0 axioms).
% 1.85/1.30 % [INFO] Problem is first-order (TPTP FOF).
% 1.85/1.31 % [INFO] Type checking passed.
% 1.85/1.31 % [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 ...
% 9.59/2.88 % [INFO] Killing All external provers ...
% 9.59/2.89 % Time passed: 2340ms (effective reasoning time: 1880ms)
% 9.59/2.89 % 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)>
% 9.59/2.89 % Axioms used in derivation (3): ceq1, ci4, ci3
% 9.59/2.89 % No. of inferences in proof: 34
% 9.59/2.89 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p : 2340 ms resp. 1880 ms w/o parsing
% 9.59/2.94 % SZS output start Refutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% See solution above
% 9.59/2.95 % [INFO] Killing All external provers ...
%------------------------------------------------------------------------------