TSTP Solution File: SEV155^5 by Leo-III---1.7.12
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%------------------------------------------------------------------------------
% File : Leo-III---1.7.12
% Problem : SEV155^5 : TPTP v8.2.0. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run_Leo-III %s %d
% Computer : n029.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 21 04:10:03 EDT 2024
% Result : Theorem 9.05s 2.79s
% Output : Refutation 9.05s
% Verified :
% SZS Type : Refutation
% Derivation depth : 3
% Number of leaves : 2
% Syntax : Number of formulae : 5 ( 1 unt; 1 typ; 0 def)
% Number of atoms : 1 ( 0 equ; 0 cnn)
% Maximal formula atoms : 1 ( 0 avg)
% Number of connectives : 485 ( 2 ~; 21 |; 54 &; 324 @)
% ( 0 <=>; 84 =>; 0 <=; 0 <~>)
% Maximal formula depth : 24 ( 18 avg)
% Number of types : 2 ( 1 usr)
% Number of type conns : 60 ( 60 >; 0 *; 0 +; 0 <<)
% Number of symbols : 1 ( 0 usr; 1 con; 0-0 aty)
% Number of variables : 171 ( 0 ^ 171 !; 0 ?; 171 :)
% Comments :
%------------------------------------------------------------------------------
thf(a_type,type,
a: $tType ).
thf(1,conjecture,
! [A: a > a > $o,B: a > a > $o,C: a,D: a] :
( ( ( ! [E: a,F: a] :
( ( ! [G: a > a > $o] :
( ( ! [H: a,I: a] :
( ( A @ H @ I )
=> ( G @ H @ I ) )
& ! [H: a,I: a,J: a] :
( ( ( G @ H @ I )
& ( G @ I @ J ) )
=> ( G @ H @ J ) ) )
=> ( G @ E @ F ) )
| ! [G: a > a > $o] :
( ( ! [H: a,I: a] :
( ( B @ H @ I )
=> ( G @ H @ I ) )
& ! [H: a,I: a,J: a] :
( ( ( G @ H @ I )
& ( G @ I @ J ) )
=> ( G @ H @ J ) ) )
=> ( G @ E @ F ) ) )
=> ! [G: a > a > $o] :
( ( ! [H: a,I: a] :
( ( ( A @ H @ I )
| ( B @ H @ I ) )
=> ( G @ H @ I ) )
& ! [H: a,I: a,J: a] :
( ( ( G @ H @ I )
& ( G @ I @ J ) )
=> ( G @ H @ J ) ) )
=> ( G @ E @ F ) ) )
& ! [E: a,F: a,G: a] :
( ( ! [H: a > a > $o] :
( ( ! [I: a,J: a] :
( ( ( A @ I @ J )
| ( B @ I @ J ) )
=> ( H @ I @ J ) )
& ! [I: a,J: a,K: a] :
( ( ( H @ I @ J )
& ( H @ J @ K ) )
=> ( H @ I @ K ) ) )
=> ( H @ E @ F ) )
& ! [H: a > a > $o] :
( ( ! [I: a,J: a] :
( ( ( A @ I @ J )
| ( B @ I @ J ) )
=> ( H @ I @ J ) )
& ! [I: a,J: a,K: a] :
( ( ( H @ I @ J )
& ( H @ J @ K ) )
=> ( H @ I @ K ) ) )
=> ( H @ F @ G ) ) )
=> ! [H: a > a > $o] :
( ( ! [I: a,J: a] :
( ( ( A @ I @ J )
| ( B @ I @ J ) )
=> ( H @ I @ J ) )
& ! [I: a,J: a,K: a] :
( ( ( H @ I @ J )
& ( H @ J @ K ) )
=> ( H @ I @ K ) ) )
=> ( H @ E @ G ) ) ) )
=> ! [E: a > a > $o] :
( ( ! [F: a,G: a] :
( ( ( A @ F @ G )
| ( B @ F @ G ) )
=> ( E @ F @ G ) )
& ! [F: a,G: a,H: a] :
( ( ( E @ F @ G )
& ( E @ G @ H ) )
=> ( E @ F @ H ) ) )
=> ( E @ C @ D ) ) )
=> ! [E: a > a > $o] :
( ( ! [F: a,G: a] :
( ( ( A @ F @ G )
| ( B @ F @ G ) )
=> ( E @ F @ G ) )
& ! [F: a,G: a,H: a] :
( ( ( E @ F @ G )
& ( E @ G @ H ) )
=> ( E @ F @ H ) ) )
=> ( E @ C @ D ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cTHM250D_pme) ).
thf(2,negated_conjecture,
~ ! [A: a > a > $o,B: a > a > $o,C: a,D: a] :
( ( ( ! [E: a,F: a] :
( ( ! [G: a > a > $o] :
( ( ! [H: a,I: a] :
( ( A @ H @ I )
=> ( G @ H @ I ) )
& ! [H: a,I: a,J: a] :
( ( ( G @ H @ I )
& ( G @ I @ J ) )
=> ( G @ H @ J ) ) )
=> ( G @ E @ F ) )
| ! [G: a > a > $o] :
( ( ! [H: a,I: a] :
( ( B @ H @ I )
=> ( G @ H @ I ) )
& ! [H: a,I: a,J: a] :
( ( ( G @ H @ I )
& ( G @ I @ J ) )
=> ( G @ H @ J ) ) )
=> ( G @ E @ F ) ) )
=> ! [G: a > a > $o] :
( ( ! [H: a,I: a] :
( ( ( A @ H @ I )
| ( B @ H @ I ) )
=> ( G @ H @ I ) )
& ! [H: a,I: a,J: a] :
( ( ( G @ H @ I )
& ( G @ I @ J ) )
=> ( G @ H @ J ) ) )
=> ( G @ E @ F ) ) )
& ! [E: a,F: a,G: a] :
( ( ! [H: a > a > $o] :
( ( ! [I: a,J: a] :
( ( ( A @ I @ J )
| ( B @ I @ J ) )
=> ( H @ I @ J ) )
& ! [I: a,J: a,K: a] :
( ( ( H @ I @ J )
& ( H @ J @ K ) )
=> ( H @ I @ K ) ) )
=> ( H @ E @ F ) )
& ! [H: a > a > $o] :
( ( ! [I: a,J: a] :
( ( ( A @ I @ J )
| ( B @ I @ J ) )
=> ( H @ I @ J ) )
& ! [I: a,J: a,K: a] :
( ( ( H @ I @ J )
& ( H @ J @ K ) )
=> ( H @ I @ K ) ) )
=> ( H @ F @ G ) ) )
=> ! [H: a > a > $o] :
( ( ! [I: a,J: a] :
( ( ( A @ I @ J )
| ( B @ I @ J ) )
=> ( H @ I @ J ) )
& ! [I: a,J: a,K: a] :
( ( ( H @ I @ J )
& ( H @ J @ K ) )
=> ( H @ I @ K ) ) )
=> ( H @ E @ G ) ) ) )
=> ! [E: a > a > $o] :
( ( ! [F: a,G: a] :
( ( ( A @ F @ G )
| ( B @ F @ G ) )
=> ( E @ F @ G ) )
& ! [F: a,G: a,H: a] :
( ( ( E @ F @ G )
& ( E @ G @ H ) )
=> ( E @ F @ H ) ) )
=> ( E @ C @ D ) ) )
=> ! [E: a > a > $o] :
( ( ! [F: a,G: a] :
( ( ( A @ F @ G )
| ( B @ F @ G ) )
=> ( E @ F @ G ) )
& ! [F: a,G: a,H: a] :
( ( ( E @ F @ G )
& ( E @ G @ H ) )
=> ( E @ F @ H ) ) )
=> ( E @ C @ D ) ) ),
inference(neg_conjecture,[status(cth)],[1]) ).
thf(3,plain,
~ ! [A: a > a > $o,B: a > a > $o,C: a,D: a] :
( ( ( ! [E: a,F: a] :
( ( ! [G: a > a > $o] :
( ( ! [H: a,I: a] :
( ( A @ H @ I )
=> ( G @ H @ I ) )
& ! [H: a,I: a,J: a] :
( ( ( G @ H @ I )
& ( G @ I @ J ) )
=> ( G @ H @ J ) ) )
=> ( G @ E @ F ) )
| ! [G: a > a > $o] :
( ( ! [H: a,I: a] :
( ( B @ H @ I )
=> ( G @ H @ I ) )
& ! [H: a,I: a,J: a] :
( ( ( G @ H @ I )
& ( G @ I @ J ) )
=> ( G @ H @ J ) ) )
=> ( G @ E @ F ) ) )
=> ! [G: a > a > $o] :
( ( ! [H: a,I: a] :
( ( ( A @ H @ I )
| ( B @ H @ I ) )
=> ( G @ H @ I ) )
& ! [H: a,I: a,J: a] :
( ( ( G @ H @ I )
& ( G @ I @ J ) )
=> ( G @ H @ J ) ) )
=> ( G @ E @ F ) ) )
& ! [E: a,F: a,G: a] :
( ( ! [H: a > a > $o] :
( ( ! [I: a,J: a] :
( ( ( A @ I @ J )
| ( B @ I @ J ) )
=> ( H @ I @ J ) )
& ! [I: a,J: a,K: a] :
( ( ( H @ I @ J )
& ( H @ J @ K ) )
=> ( H @ I @ K ) ) )
=> ( H @ E @ F ) )
& ! [H: a > a > $o] :
( ( ! [I: a,J: a] :
( ( ( A @ I @ J )
| ( B @ I @ J ) )
=> ( H @ I @ J ) )
& ! [I: a,J: a,K: a] :
( ( ( H @ I @ J )
& ( H @ J @ K ) )
=> ( H @ I @ K ) ) )
=> ( H @ F @ G ) ) )
=> ! [H: a > a > $o] :
( ( ! [I: a,J: a] :
( ( ( A @ I @ J )
| ( B @ I @ J ) )
=> ( H @ I @ J ) )
& ! [I: a,J: a,K: a] :
( ( ( H @ I @ J )
& ( H @ J @ K ) )
=> ( H @ I @ K ) ) )
=> ( H @ E @ G ) ) ) )
=> ! [E: a > a > $o] :
( ( ! [F: a,G: a] :
( ( ( A @ F @ G )
| ( B @ F @ G ) )
=> ( E @ F @ G ) )
& ! [F: a,G: a,H: a] :
( ( ( E @ F @ G )
& ( E @ G @ H ) )
=> ( E @ F @ H ) ) )
=> ( E @ C @ D ) ) )
=> ! [E: a > a > $o] :
( ( ! [F: a,G: a] :
( ( ( A @ F @ G )
| ( B @ F @ G ) )
=> ( E @ F @ G ) )
& ! [F: a,G: a,H: a] :
( ( ( E @ F @ G )
& ( E @ G @ H ) )
=> ( E @ F @ H ) ) )
=> ( E @ C @ D ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[2]) ).
thf(425,plain,
$false,
inference(cvc4,[status(thm)],[3]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12 % Problem : SEV155^5 : TPTP v8.2.0. Released v4.0.0.
% 0.11/0.15 % Command : run_Leo-III %s %d
% 0.16/0.37 % Computer : n029.cluster.edu
% 0.16/0.37 % Model : x86_64 x86_64
% 0.16/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.16/0.37 % Memory : 8042.1875MB
% 0.16/0.37 % OS : Linux 3.10.0-693.el7.x86_64
% 0.16/0.37 % CPULimit : 300
% 0.16/0.37 % WCLimit : 300
% 0.16/0.37 % DateTime : Sun May 19 18:41:09 EDT 2024
% 0.16/0.37 % CPUTime :
% 0.99/0.86 % [INFO] Parsing problem /export/starexec/sandbox2/benchmark/theBenchmark.p ...
% 1.23/0.99 % [INFO] Parsing done (122ms).
% 1.23/0.99 % [INFO] Running in sequential loop mode.
% 1.80/1.22 % [INFO] eprover registered as external prover.
% 1.80/1.23 % [INFO] cvc4 registered as external prover.
% 1.80/1.23 % [INFO] Scanning for conjecture ...
% 1.92/1.32 % [INFO] Found a conjecture (or negated_conjecture) and 0 axioms. Running axiom selection ...
% 2.22/1.35 % [INFO] Axiom selection finished. Selected 0 axioms (removed 0 axioms).
% 2.22/1.35 % [INFO] Problem is higher-order (TPTP THF).
% 2.22/1.36 % [INFO] Type checking passed.
% 2.22/1.36 % [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 ...
% 9.05/2.78 % External prover 'cvc4' found a proof!
% 9.05/2.78 % [INFO] Killing All external provers ...
% 9.05/2.78 % Time passed: 2260ms (effective reasoning time: 1787ms)
% 9.05/2.79 % 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)>
% 9.05/2.79 % Axioms used in derivation (0):
% 9.05/2.79 % No. of inferences in proof: 4
% 9.05/2.79 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p : 2260 ms resp. 1787 ms w/o parsing
% 9.05/2.83 % SZS output start Refutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% See solution above
% 9.05/2.83 % [INFO] Killing All external provers ...
%------------------------------------------------------------------------------