TSTP Solution File: GEO258+1 by Leo-III---1.7.7
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%------------------------------------------------------------------------------
% File : Leo-III---1.7.7
% Problem : GEO258+1 : TPTP v8.1.2. Bugfixed v6.4.0.
% Transfm : none
% Format : tptp:raw
% Command : run_Leo-III %s %d
% Computer : n001.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 : Fri May 19 11:10:15 EDT 2023
% Result : Theorem 3.01s 1.62s
% Output : Refutation 3.13s
% Verified :
% SZS Type : Refutation
% Derivation depth : 3
% Number of leaves : 4
% Syntax : Number of formulae : 8 ( 1 unt; 2 typ; 0 def)
% Number of atoms : 22 ( 0 equ; 0 cnn)
% Maximal formula atoms : 10 ( 3 avg)
% Number of connectives : 90 ( 2 ~; 3 |; 7 &; 72 @)
% ( 1 <=>; 5 =>; 0 <=; 0 <~>)
% Maximal formula depth : 12 ( 9 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 7 ( 7 >; 0 *; 0 +; 0 <<)
% Number of symbols : 3 ( 2 usr; 1 con; 0-4 aty)
% Number of variables : 20 ( 0 ^; 20 !; 0 ?; 20 :)
% Comments :
%------------------------------------------------------------------------------
thf(between_on_line_type,type,
between_on_line: $i > $i > $i > $i > $o ).
thf(before_on_line_type,type,
before_on_line: $i > $i > $i > $o ).
thf(1,conjecture,
! [A: $i,B: $i,C: $i,D: $i] :
( ( between_on_line @ A @ B @ C @ D )
=> ( between_on_line @ A @ D @ C @ B ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',con) ).
thf(2,negated_conjecture,
~ ! [A: $i,B: $i,C: $i,D: $i] :
( ( between_on_line @ A @ B @ C @ D )
=> ( between_on_line @ A @ D @ C @ B ) ),
inference(neg_conjecture,[status(cth)],[1]) ).
thf(4,plain,
~ ! [A: $i,B: $i,C: $i,D: $i] :
( ( between_on_line @ A @ B @ C @ D )
=> ( between_on_line @ A @ D @ C @ B ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[2]) ).
thf(3,axiom,
! [A: $i,B: $i,C: $i,D: $i] :
( ( between_on_line @ A @ B @ C @ D )
<=> ( ( ( before_on_line @ A @ B @ C )
& ( before_on_line @ A @ C @ D ) )
| ( ( before_on_line @ A @ D @ C )
& ( before_on_line @ A @ C @ B ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',bet_def) ).
thf(7,plain,
! [A: $i,B: $i,C: $i,D: $i] :
( ( ( between_on_line @ A @ B @ C @ D )
=> ( ( ( before_on_line @ A @ B @ C )
& ( before_on_line @ A @ C @ D ) )
| ( ( before_on_line @ A @ D @ C )
& ( before_on_line @ A @ C @ B ) ) ) )
& ( ( ( ( before_on_line @ A @ B @ C )
& ( before_on_line @ A @ C @ D ) )
| ( ( before_on_line @ A @ D @ C )
& ( before_on_line @ A @ C @ B ) ) )
=> ( between_on_line @ A @ B @ C @ D ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[3]) ).
thf(20,plain,
$false,
inference(e,[status(thm)],[4,7]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.11 % Problem : GEO258+1 : TPTP v8.1.2. Bugfixed v6.4.0.
% 0.11/0.14 % Command : run_Leo-III %s %d
% 0.15/0.35 % Computer : n001.cluster.edu
% 0.15/0.35 % Model : x86_64 x86_64
% 0.15/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.35 % Memory : 8042.1875MB
% 0.15/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.15/0.35 % CPULimit : 300
% 0.15/0.35 % WCLimit : 300
% 0.15/0.35 % DateTime : Fri May 19 04:51:07 EDT 2023
% 0.15/0.35 % CPUTime :
% 0.86/0.83 % [INFO] Parsing problem /export/starexec/sandbox2/benchmark/theBenchmark.p ...
% 1.23/0.97 % [INFO] Parsing done (134ms).
% 1.23/0.97 % [INFO] Running in sequential loop mode.
% 1.61/1.17 % [INFO] eprover registered as external prover.
% 1.61/1.17 % [INFO] cvc4 registered as external prover.
% 1.61/1.17 % [INFO] Scanning for conjecture ...
% 1.85/1.23 % [INFO] Found a conjecture and 31 axioms. Running axiom selection ...
% 1.94/1.27 % [INFO] Axiom selection finished. Selected 1 axioms (removed 30 axioms).
% 1.94/1.27 % [INFO] Problem is first-order (TPTP FOF).
% 1.94/1.27 % [INFO] Type checking passed.
% 1.94/1.28 % [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 ...
% 3.01/1.62 % External prover 'e' found a proof!
% 3.01/1.62 % [INFO] Killing All external provers ...
% 3.01/1.62 % Time passed: 1113ms (effective reasoning time: 646ms)
% 3.01/1.62 % 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)>
% 3.01/1.62 % Axioms used in derivation (1): bet_def
% 3.01/1.62 % No. of inferences in proof: 6
% 3.01/1.62 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p : 1113 ms resp. 646 ms w/o parsing
% 3.13/1.65 % SZS output start Refutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% See solution above
% 3.13/1.65 % [INFO] Killing All external provers ...
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