TSTP Solution File: SEV191^5 by Leo-III---1.7.15
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%------------------------------------------------------------------------------
% File : Leo-III---1.7.15
% Problem : SEV191^5 : TPTP v8.2.0. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run_Leo-III %s %d THM
% Computer : n017.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 15:58:28 EDT 2024
% Result : Theorem 3.11s 1.89s
% Output : Refutation 3.35s
% 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 : 51 ( 42 equ; 0 cnn)
% Maximal formula atoms : 18 ( 12 avg)
% Number of connectives : 157 ( 2 ~; 12 |; 42 &; 90 @)
% ( 0 <=>; 11 =>; 0 <=; 0 <~>)
% Maximal formula depth : 25 ( 19 avg)
% Number of types : 2 ( 1 usr)
% Number of type conns : 24 ( 24 >; 0 *; 0 +; 0 <<)
% Number of symbols : 5 ( 2 usr; 3 con; 0-2 aty)
% Number of variables : 62 ( 0 ^ 26 !; 36 ?; 62 :)
% Comments :
%------------------------------------------------------------------------------
thf(a_type,type,
a: $tType ).
thf(cP_type,type,
cP: a > a > a ).
thf(c0_type,type,
c0: a ).
thf(1,conjecture,
( ! [A: a > a > a > $o] :
( $true
=> $true )
& ! [A: a > a > a > $o,B: a > a > a > $o] :
( ( $true
& $true
& ! [C: a,D: a,E: a] :
( ( A @ C @ D @ E )
=> ( B @ C @ D @ E ) ) )
=> ! [C: a,D: a,E: a] :
( ( ( ( C = c0 )
& ( D = E ) )
| ( ( D = c0 )
& ( C = E ) )
| ? [F: a,G: a,H: a,I: a,J: a,K: a] :
( ( C
= ( cP @ F @ G ) )
& ( D
= ( cP @ H @ I ) )
& ( E
= ( cP @ J @ K ) )
& ( A @ F @ H @ J )
& ( A @ G @ I @ K ) ) )
=> ( ( ( C = c0 )
& ( D = E ) )
| ( ( D = c0 )
& ( C = E ) )
| ? [F: a,G: a,H: a,I: a,J: a,K: a] :
( ( C
= ( cP @ F @ G ) )
& ( D
= ( cP @ H @ I ) )
& ( E
= ( cP @ J @ K ) )
& ( B @ F @ H @ J )
& ( B @ G @ I @ K ) ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cS_JOINFN_MONOTONE_pme) ).
thf(2,negated_conjecture,
~ ( ! [A: a > a > a > $o] :
( $true
=> $true )
& ! [A: a > a > a > $o,B: a > a > a > $o] :
( ( $true
& $true
& ! [C: a,D: a,E: a] :
( ( A @ C @ D @ E )
=> ( B @ C @ D @ E ) ) )
=> ! [C: a,D: a,E: a] :
( ( ( ( C = c0 )
& ( D = E ) )
| ( ( D = c0 )
& ( C = E ) )
| ? [F: a,G: a,H: a,I: a,J: a,K: a] :
( ( C
= ( cP @ F @ G ) )
& ( D
= ( cP @ H @ I ) )
& ( E
= ( cP @ J @ K ) )
& ( A @ F @ H @ J )
& ( A @ G @ I @ K ) ) )
=> ( ( ( C = c0 )
& ( D = E ) )
| ( ( D = c0 )
& ( C = E ) )
| ? [F: a,G: a,H: a,I: a,J: a,K: a] :
( ( C
= ( cP @ F @ G ) )
& ( D
= ( cP @ H @ I ) )
& ( E
= ( cP @ J @ K ) )
& ( B @ F @ H @ J )
& ( B @ G @ I @ K ) ) ) ) ) ),
inference(neg_conjecture,[status(cth)],[1]) ).
thf(3,plain,
~ ! [A: a > a > a > $o,B: a > a > a > $o] :
( ! [C: a,D: a,E: a] :
( ( A @ C @ D @ E )
=> ( B @ C @ D @ E ) )
=> ! [C: a,D: a,E: a] :
( ( ( ( C = c0 )
& ( D = E ) )
| ( ( D = c0 )
& ( C = E ) )
| ? [F: a,G: a,H: a,I: a,J: a,K: a] :
( ( C
= ( cP @ F @ G ) )
& ( D
= ( cP @ H @ I ) )
& ( E
= ( cP @ J @ K ) )
& ( A @ F @ H @ J )
& ( A @ G @ I @ K ) ) )
=> ( ( ( C = c0 )
& ( D = E ) )
| ( ( D = c0 )
& ( C = E ) )
| ? [F: a,G: a,H: a,I: a,J: a,K: a] :
( ( C
= ( cP @ F @ G ) )
& ( D
= ( cP @ H @ I ) )
& ( E
= ( cP @ J @ K ) )
& ( B @ F @ H @ J )
& ( B @ G @ I @ K ) ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[2]) ).
thf(29,plain,
$false,
inference(e,[status(thm)],[3]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.13 % Problem : SEV191^5 : TPTP v8.2.0. Released v4.0.0.
% 0.11/0.13 % Command : run_Leo-III %s %d THM
% 0.13/0.34 % Computer : n017.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % WCLimit : 300
% 0.13/0.34 % DateTime : Fri Jun 21 19:12:40 EDT 2024
% 0.13/0.34 % CPUTime :
% 1.02/0.92 % [INFO] Parsing problem /export/starexec/sandbox2/benchmark/theBenchmark.p ...
% 1.25/1.05 % [INFO] Parsing done (129ms).
% 1.25/1.06 % [INFO] Running in sequential loop mode.
% 1.71/1.31 % [INFO] eprover registered as external prover.
% 1.71/1.31 % [INFO] Scanning for conjecture ...
% 2.11/1.39 % [INFO] Found a conjecture (or negated_conjecture) and 0 axioms. Running axiom selection ...
% 2.11/1.42 % [INFO] Axiom selection finished. Selected 0 axioms (removed 0 axioms).
% 2.11/1.42 % [INFO] Problem is higher-order (TPTP THF).
% 2.11/1.43 % [INFO] Type checking passed.
% 2.11/1.43 % [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 ...
% 3.11/1.89 % External prover 'e' found a proof!
% 3.11/1.89 % [INFO] Killing All external provers ...
% 3.11/1.89 % Time passed: 1339ms (effective reasoning time: 825ms)
% 3.11/1.89 % 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)>
% 3.11/1.89 % Axioms used in derivation (0):
% 3.11/1.89 % No. of inferences in proof: 4
% 3.11/1.89 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p : 1339 ms resp. 825 ms w/o parsing
% 3.35/1.93 % SZS output start Refutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% See solution above
% 3.35/1.93 % [INFO] Killing All external provers ...
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