TSTP Solution File: SEV259^5 by Leo-III---1.7.15
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- Process Solution
%------------------------------------------------------------------------------
% File : Leo-III---1.7.15
% Problem : SEV259^5 : TPTP v8.2.0. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run_Leo-III %s %d THM
% 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 : Mon Jun 24 15:58:39 EDT 2024
% Result : Theorem 3.29s 1.75s
% Output : Refutation 3.40s
% Verified :
% SZS Type : Refutation
% Derivation depth : 3
% Number of leaves : 1
% Syntax : Number of formulae : 4 ( 1 unt; 0 typ; 0 def)
% Number of atoms : 22 ( 15 equ; 0 cnn)
% Maximal formula atoms : 5 ( 5 avg)
% Number of connectives : 118 ( 7 ~; 0 |; 27 &; 54 @)
% ( 0 <=>; 30 =>; 0 <=; 0 <~>)
% Maximal formula depth : 14 ( 11 avg)
% Number of types : 2 ( 1 usr)
% Number of type conns : 45 ( 45 >; 0 *; 0 +; 0 <<)
% Number of symbols : 3 ( 0 usr; 2 con; 0-2 aty)
% Number of variables : 60 ( 15 ^ 42 !; 3 ?; 60 :)
% Comments :
%------------------------------------------------------------------------------
thf(b_type,type,
b: $tType ).
thf(1,conjecture,
! [A: ( b > $o ) > $o] :
( ( ! [B: b > $o] :
( ( B
= ( ^ [C: b] : $false ) )
=> ( A @ B ) )
& ! [B: b > $o] :
( ( B
= ( ^ [C: b] : ~ $false ) )
=> ( A @ B ) )
& ! [B: ( b > $o ) > $o,C: b > $o] :
( ( ! [D: b > $o] :
( ( B @ D )
=> ( A @ D ) )
& ( C
= ( ^ [D: b] :
? [E: b > $o] :
( ( B @ E )
& ( E @ D ) ) ) ) )
=> ( A @ C ) )
& ! [B: b > $o,C: b > $o,D: b > $o] :
( ( ( A @ B )
& ( A @ C )
& ( D
= ( ^ [E: b] :
( ( B @ E )
& ( C @ E ) ) ) ) )
=> ( A @ D ) ) )
=> ! [B: b > $o,C: b] :
( ( B @ C )
=> ! [D: b > $o] :
( ( ! [E: b] :
( ( B @ E )
=> ( D @ E ) )
& ! [E: b > $o] :
( ( E
= ( ^ [F: b] :
~ ( D @ F ) ) )
=> ( A @ E ) ) )
=> ( D @ C ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cCLOSURE_THM0_pme) ).
thf(2,negated_conjecture,
~ ! [A: ( b > $o ) > $o] :
( ( ! [B: b > $o] :
( ( B
= ( ^ [C: b] : $false ) )
=> ( A @ B ) )
& ! [B: b > $o] :
( ( B
= ( ^ [C: b] : ~ $false ) )
=> ( A @ B ) )
& ! [B: ( b > $o ) > $o,C: b > $o] :
( ( ! [D: b > $o] :
( ( B @ D )
=> ( A @ D ) )
& ( C
= ( ^ [D: b] :
? [E: b > $o] :
( ( B @ E )
& ( E @ D ) ) ) ) )
=> ( A @ C ) )
& ! [B: b > $o,C: b > $o,D: b > $o] :
( ( ( A @ B )
& ( A @ C )
& ( D
= ( ^ [E: b] :
( ( B @ E )
& ( C @ E ) ) ) ) )
=> ( A @ D ) ) )
=> ! [B: b > $o,C: b] :
( ( B @ C )
=> ! [D: b > $o] :
( ( ! [E: b] :
( ( B @ E )
=> ( D @ E ) )
& ! [E: b > $o] :
( ( E
= ( ^ [F: b] :
~ ( D @ F ) ) )
=> ( A @ E ) ) )
=> ( D @ C ) ) ) ),
inference(neg_conjecture,[status(cth)],[1]) ).
thf(3,plain,
~ ! [A: ( b > $o ) > $o] :
( ( ! [B: b > $o] :
( ( B
= ( ^ [C: b] : $false ) )
=> ( A @ B ) )
& ! [B: b > $o] :
( ( B
= ( ^ [C: b] : $true ) )
=> ( A @ B ) )
& ! [B: ( b > $o ) > $o,C: b > $o] :
( ( ! [D: b > $o] :
( ( B @ D )
=> ( A @ D ) )
& ( C
= ( ^ [D: b] :
? [E: b > $o] :
( ( B @ E )
& ( E @ D ) ) ) ) )
=> ( A @ C ) )
& ! [B: b > $o,C: b > $o,D: b > $o] :
( ( ( A @ B )
& ( A @ C )
& ( D
= ( ^ [E: b] :
( ( B @ E )
& ( C @ E ) ) ) ) )
=> ( A @ D ) ) )
=> ! [B: b > $o,C: b] :
( ( B @ C )
=> ! [D: b > $o] :
( ( ! [E: b] :
( ( B @ E )
=> ( D @ E ) )
& ! [E: b > $o] :
( ( E
= ( ^ [F: b] :
~ ( D @ F ) ) )
=> ( A @ E ) ) )
=> ( D @ C ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[2]) ).
thf(26,plain,
$false,
inference(e,[status(thm)],[3]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.13 % Problem : SEV259^5 : TPTP v8.2.0. Released v4.0.0.
% 0.07/0.13 % Command : run_Leo-III %s %d THM
% 0.12/0.34 % Computer : n001.cluster.edu
% 0.12/0.34 % Model : x86_64 x86_64
% 0.12/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.34 % Memory : 8042.1875MB
% 0.12/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.34 % CPULimit : 300
% 0.12/0.34 % WCLimit : 300
% 0.12/0.34 % DateTime : Fri Jun 21 18:40:09 EDT 2024
% 0.12/0.34 % CPUTime :
% 0.96/0.88 % [INFO] Parsing problem /export/starexec/sandbox/benchmark/theBenchmark.p ...
% 1.16/0.99 % [INFO] Parsing done (108ms).
% 1.33/1.00 % [INFO] Running in sequential loop mode.
% 1.63/1.21 % [INFO] eprover registered as external prover.
% 1.63/1.21 % [INFO] Scanning for conjecture ...
% 1.95/1.29 % [INFO] Found a conjecture (or negated_conjecture) and 0 axioms. Running axiom selection ...
% 1.95/1.31 % [INFO] Axiom selection finished. Selected 0 axioms (removed 0 axioms).
% 1.95/1.31 % [INFO] Problem is higher-order (TPTP THF).
% 1.95/1.32 % [INFO] Type checking passed.
% 1.95/1.32 % [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 ...
% 3.29/1.75 % External prover 'e' found a proof!
% 3.29/1.75 % [INFO] Killing All external provers ...
% 3.29/1.75 % Time passed: 1213ms (effective reasoning time: 750ms)
% 3.29/1.75 % 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)>
% 3.29/1.75 % Axioms used in derivation (0):
% 3.29/1.75 % No. of inferences in proof: 4
% 3.29/1.75 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p : 1213 ms resp. 750 ms w/o parsing
% 3.40/1.79 % SZS output start Refutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% See solution above
% 3.40/1.79 % [INFO] Killing All external provers ...
%------------------------------------------------------------------------------