TSTP Solution File: GEO216+2 by Leo-III-SAT---1.7.12
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%------------------------------------------------------------------------------
% File : Leo-III-SAT---1.7.12
% Problem : GEO216+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 20:06:20 EDT 2024
% Result : Theorem 3.27s 1.92s
% Output : Refutation 3.27s
% Verified :
% SZS Type : Refutation
% Derivation depth : 8
% Number of leaves : 6
% Syntax : Number of formulae : 20 ( 12 unt; 3 typ; 0 def)
% Number of atoms : 24 ( 1 equ; 0 cnn)
% Maximal formula atoms : 2 ( 1 avg)
% Number of connectives : 69 ( 22 ~; 2 |; 3 &; 42 @)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 8 ( 5 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 4 ( 4 >; 0 *; 0 +; 0 <<)
% Number of symbols : 6 ( 3 usr; 3 con; 0-2 aty)
% Number of variables : 20 ( 0 ^ 17 !; 3 ?; 20 :)
% Comments :
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thf(unorthogonal_lines_type,type,
unorthogonal_lines: $i > $i > $o ).
thf(convergent_lines_type,type,
convergent_lines: $i > $i > $o ).
thf(sk1_type,type,
sk1: $i ).
thf(1,conjecture,
! [A: $i] :
~ ~ ( unorthogonal_lines @ A @ A ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',con) ).
thf(2,negated_conjecture,
~ ! [A: $i] :
~ ~ ( unorthogonal_lines @ A @ A ),
inference(neg_conjecture,[status(cth)],[1]) ).
thf(18,plain,
~ ! [A: $i] : ( unorthogonal_lines @ A @ A ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[2]) ).
thf(19,plain,
~ ( unorthogonal_lines @ sk1 @ sk1 ),
inference(cnf,[status(esa)],[18]) ).
thf(15,axiom,
! [A: $i,B: $i] :
~ ( ~ ( convergent_lines @ A @ B )
& ~ ( unorthogonal_lines @ A @ B ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',coipo1) ).
thf(56,plain,
! [A: $i,B: $i] :
~ ( ~ ( convergent_lines @ A @ B )
& ~ ( unorthogonal_lines @ A @ B ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[15]) ).
thf(57,plain,
~ ? [A: $i,B: $i] :
( ~ ( convergent_lines @ A @ B )
& ~ ( unorthogonal_lines @ A @ B ) ),
inference(miniscope,[status(thm)],[56]) ).
thf(58,plain,
! [B: $i,A: $i] :
( ( convergent_lines @ A @ B )
| ( unorthogonal_lines @ A @ B ) ),
inference(cnf,[status(esa)],[57]) ).
thf(11,axiom,
! [A: $i] :
~ ( convergent_lines @ A @ A ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',apart3) ).
thf(44,plain,
! [A: $i] :
~ ( convergent_lines @ A @ A ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[11]) ).
thf(45,plain,
~ ? [A: $i] : ( convergent_lines @ A @ A ),
inference(miniscope,[status(thm)],[44]) ).
thf(46,plain,
! [A: $i] :
~ ( convergent_lines @ A @ A ),
inference(cnf,[status(esa)],[45]) ).
thf(73,plain,
! [C: $i,B: $i,A: $i] :
( ( unorthogonal_lines @ A @ B )
| ( ( convergent_lines @ A @ B )
!= ( convergent_lines @ C @ C ) ) ),
inference(paramod_ordered,[status(thm)],[58,46]) ).
thf(74,plain,
! [A: $i] : ( unorthogonal_lines @ A @ A ),
inference(pattern_uni,[status(thm)],[73:[bind(A,$thf( B )),bind(B,$thf( B )),bind(C,$thf( B ))]]) ).
thf(75,plain,
! [A: $i] : ( unorthogonal_lines @ A @ A ),
inference(simp,[status(thm)],[74]) ).
thf(76,plain,
~ $true,
inference(rewrite,[status(thm)],[19,75]) ).
thf(77,plain,
$false,
inference(simp,[status(thm)],[76]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.11 % Problem : GEO216+2 : TPTP v8.2.0. Released v3.3.0.
% 0.12/0.14 % Command : run_Leo-III %s %d
% 0.14/0.35 % Computer : n024.cluster.edu
% 0.14/0.35 % Model : x86_64 x86_64
% 0.14/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.35 % Memory : 8042.1875MB
% 0.14/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.35 % CPULimit : 300
% 0.14/0.35 % WCLimit : 300
% 0.14/0.35 % DateTime : Sun May 19 14:18:23 EDT 2024
% 0.14/0.35 % CPUTime :
% 0.96/0.88 % [INFO] Parsing problem /export/starexec/sandbox2/benchmark/theBenchmark.p ...
% 1.25/1.03 % [INFO] Parsing done (150ms).
% 1.25/1.05 % [INFO] Running in sequential loop mode.
% 1.59/1.27 % [INFO] nitpick registered as external prover.
% 1.59/1.27 % [INFO] Scanning for conjecture ...
% 1.79/1.33 % [INFO] Found a conjecture (or negated_conjecture) and 15 axioms. Running axiom selection ...
% 1.79/1.36 % [INFO] Axiom selection finished. Selected 15 axioms (removed 0 axioms).
% 1.93/1.39 % [INFO] Problem is first-order (TPTP FOF).
% 1.93/1.40 % [INFO] Type checking passed.
% 1.93/1.40 % [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 ...
% 3.27/1.92 % [INFO] Killing All external provers ...
% 3.27/1.92 % Time passed: 1401ms (effective reasoning time: 872ms)
% 3.27/1.92 % 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)>
% 3.27/1.92 % Axioms used in derivation (2): coipo1, apart3
% 3.27/1.92 % No. of inferences in proof: 17
% 3.27/1.92 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p : 1401 ms resp. 872 ms w/o parsing
% 3.27/1.95 % SZS output start Refutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% See solution above
% 3.27/1.95 % [INFO] Killing All external provers ...
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